%------------------------------------------------------------------------------
% File : Z3---4.15.1
% Problem : GRP745+1 : TPTP v9.0.0. Released v4.0.0.
% Transfm : none
% Format : tptp
% Command : run_E %s %d THM
% Computer : n008.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Sat Jun 21 05:08:35 AM UTC 2025
% Result : Theorem 4.10s 4.26s
% Output : Proof 6.76s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : GRP745+1 : TPTP v9.0.0. Released v4.0.0.
% 0.07/0.12 % Command : run_E %s %d THM
% 0.12/0.33 % Computer : n008.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 300
% 0.12/0.33 % DateTime : Thu Jun 19 17:03:03 EDT 2025
% 0.12/0.33 % CPUTime :
% 4.10/4.26 % SZS status Theorem
% 4.10/4.26 % SZS output start Proof
% 4.10/4.26 tff(mult_type, type, (
% 4.10/4.26 mult: ( $i * $i ) > $i)).
% 4.10/4.26 tff(c_type, type, (
% 4.10/4.26 c: $i)).
% 4.10/4.26 tff(a_type, type, (
% 4.10/4.26 a: $i)).
% 4.10/4.26 tff(b_type, type, (
% 4.10/4.26 b: $i)).
% 4.10/4.26 tff(ld_type, type, (
% 4.10/4.26 ld: ( $i * $i ) > $i)).
% 4.10/4.26 tff(rd_type, type, (
% 4.10/4.26 rd: ( $i * $i ) > $i)).
% 4.10/4.26 tff(1,assumption,(~(mult(a, b) = mult(b, a))), introduced(assumption)).
% 4.10/4.26 tff(2,plain,
% 4.10/4.26 ((mult(mult(b, mult(c, a)), mult(a, mult(b, a))) = mult(mult(mult(b, mult(c, a)), a), mult(b, a))) <=> (mult(mult(mult(b, mult(c, a)), a), mult(b, a)) = mult(mult(b, mult(c, a)), mult(a, mult(b, a))))),
% 4.10/4.26 inference(commutativity,[status(thm)],[])).
% 4.10/4.26 tff(3,plain,
% 4.10/4.26 (^[B: $i, A: $i] : refl((ld(A, mult(A, B)) = B) <=> (ld(A, mult(A, B)) = B))),
% 4.10/4.26 inference(bind,[status(th)],[])).
% 4.10/4.26 tff(4,plain,
% 4.10/4.26 (![B: $i, A: $i] : (ld(A, mult(A, B)) = B) <=> ![B: $i, A: $i] : (ld(A, mult(A, B)) = B)),
% 4.10/4.26 inference(quant_intro,[status(thm)],[3])).
% 4.10/4.26 tff(5,plain,
% 4.10/4.26 (![B: $i, A: $i] : (ld(A, mult(A, B)) = B) <=> ![B: $i, A: $i] : (ld(A, mult(A, B)) = B)),
% 4.10/4.26 inference(rewrite,[status(thm)],[])).
% 4.10/4.26 tff(6,axiom,(![B: $i, A: $i] : (ld(A, mult(A, B)) = B)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','f02')).
% 4.10/4.26 tff(7,plain,
% 4.10/4.26 (![B: $i, A: $i] : (ld(A, mult(A, B)) = B)),
% 4.10/4.26 inference(modus_ponens,[status(thm)],[6, 5])).
% 4.10/4.26 tff(8,plain,(
% 4.10/4.26 ![B: $i, A: $i] : (ld(A, mult(A, B)) = B)),
% 4.10/4.26 inference(skolemize,[status(sab)],[7])).
% 4.10/4.26 tff(9,plain,
% 4.10/4.26 (![B: $i, A: $i] : (ld(A, mult(A, B)) = B)),
% 4.10/4.26 inference(modus_ponens,[status(thm)],[8, 4])).
% 4.10/4.26 tff(10,plain,
% 4.10/4.26 ((~![B: $i, A: $i] : (ld(A, mult(A, B)) = B)) | (ld(b, mult(b, mult(c, a))) = mult(c, a))),
% 4.10/4.26 inference(quant_inst,[status(thm)],[])).
% 4.10/4.26 tff(11,plain,
% 4.10/4.26 (ld(b, mult(b, mult(c, a))) = mult(c, a)),
% 4.10/4.26 inference(unit_resolution,[status(thm)],[10, 9])).
% 4.10/4.26 tff(12,plain,
% 4.10/4.26 ((~![B: $i, A: $i] : (ld(A, mult(A, B)) = B)) | (ld(c, mult(c, mult(a, b))) = mult(a, b))),
% 4.10/4.26 inference(quant_inst,[status(thm)],[])).
% 4.10/4.26 tff(13,plain,
% 4.10/4.26 (ld(c, mult(c, mult(a, b))) = mult(a, b)),
% 4.10/4.26 inference(unit_resolution,[status(thm)],[12, 9])).
% 4.10/4.26 tff(14,assumption,(~(mult(mult(b, a), c) = mult(b, mult(c, a)))), introduced(assumption)).
% 4.10/4.26 tff(15,plain,
% 4.10/4.26 ((mult(mult(mult(a, b), c), a) = mult(a, mult(b, mult(c, a)))) <=> (mult(a, mult(b, mult(c, a))) = mult(mult(mult(a, b), c), a))),
% 4.10/4.26 inference(commutativity,[status(thm)],[])).
% 4.10/4.26 tff(16,plain,
% 4.10/4.26 (((~(mult(mult(b, c), a) = mult(b, mult(a, c)))) | (~(mult(mult(b, a), c) = mult(b, mult(c, a))))) | (mult(mult(b, a), c) = mult(b, mult(c, a)))),
% 4.10/4.26 inference(tautology,[status(thm)],[])).
% 4.10/4.26 tff(17,plain,
% 4.10/4.26 ((~(mult(mult(b, c), a) = mult(b, mult(a, c)))) | (~(mult(mult(b, a), c) = mult(b, mult(c, a))))),
% 4.10/4.26 inference(unit_resolution,[status(thm)],[16, 14])).
% 4.10/4.26 tff(18,plain,
% 4.10/4.26 (^[X0: $i, X1: $i, X2: $i] : refl(((~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X2, X1)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X1, X2)))))) | (~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X1, X2)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X2, X1))))))) <=> ((~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X2, X1)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X1, X2)))))) | (~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X1, X2)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X2, X1))))))))),
% 4.10/4.26 inference(bind,[status(th)],[])).
% 4.10/4.26 tff(19,plain,
% 4.10/4.26 (![X0: $i, X1: $i, X2: $i] : ((~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X2, X1)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X1, X2)))))) | (~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X1, X2)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X2, X1))))))) <=> ![X0: $i, X1: $i, X2: $i] : ((~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X2, X1)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X1, X2)))))) | (~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X1, X2)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X2, X1)))))))),
% 4.10/4.26 inference(quant_intro,[status(thm)],[18])).
% 4.10/4.26 tff(20,plain,
% 4.10/4.26 (^[X0: $i, X1: $i, X2: $i] : rewrite((((mult(mult(X0, X1), X2) = mult(X0, mult(X2, X1))) & (mult(mult(X0, X2), X1) = mult(X0, mult(X1, X2)))) | ((mult(mult(X0, X1), X2) = mult(X0, mult(X1, X2))) & (mult(mult(X0, X2), X1) = mult(X0, mult(X2, X1))))) <=> ((~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X2, X1)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X1, X2)))))) | (~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X1, X2)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X2, X1))))))))),
% 4.10/4.26 inference(bind,[status(th)],[])).
% 4.10/4.26 tff(21,plain,
% 4.10/4.26 (![X0: $i, X1: $i, X2: $i] : (((mult(mult(X0, X1), X2) = mult(X0, mult(X2, X1))) & (mult(mult(X0, X2), X1) = mult(X0, mult(X1, X2)))) | ((mult(mult(X0, X1), X2) = mult(X0, mult(X1, X2))) & (mult(mult(X0, X2), X1) = mult(X0, mult(X2, X1))))) <=> ![X0: $i, X1: $i, X2: $i] : ((~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X2, X1)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X1, X2)))))) | (~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X1, X2)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X2, X1)))))))),
% 4.10/4.26 inference(quant_intro,[status(thm)],[20])).
% 4.10/4.26 tff(22,plain,
% 4.10/4.26 (![X0: $i, X1: $i, X2: $i] : (((mult(mult(X0, X1), X2) = mult(X0, mult(X2, X1))) & (mult(mult(X0, X2), X1) = mult(X0, mult(X1, X2)))) | ((mult(mult(X0, X1), X2) = mult(X0, mult(X1, X2))) & (mult(mult(X0, X2), X1) = mult(X0, mult(X2, X1))))) <=> ![X0: $i, X1: $i, X2: $i] : (((mult(mult(X0, X1), X2) = mult(X0, mult(X2, X1))) & (mult(mult(X0, X2), X1) = mult(X0, mult(X1, X2)))) | ((mult(mult(X0, X1), X2) = mult(X0, mult(X1, X2))) & (mult(mult(X0, X2), X1) = mult(X0, mult(X2, X1)))))),
% 4.10/4.26 inference(rewrite,[status(thm)],[])).
% 4.10/4.26 tff(23,plain,
% 4.10/4.26 (^[X0: $i, X1: $i, X2: $i] : rewrite((((mult(mult(X0, X1), X2) = mult(X0, mult(X1, X2))) & (mult(mult(X0, X2), X1) = mult(X0, mult(X2, X1)))) | ((mult(mult(X0, X1), X2) = mult(X0, mult(X2, X1))) & (mult(mult(X0, X2), X1) = mult(X0, mult(X1, X2))))) <=> (((mult(mult(X0, X1), X2) = mult(X0, mult(X2, X1))) & (mult(mult(X0, X2), X1) = mult(X0, mult(X1, X2)))) | ((mult(mult(X0, X1), X2) = mult(X0, mult(X1, X2))) & (mult(mult(X0, X2), X1) = mult(X0, mult(X2, X1))))))),
% 4.10/4.26 inference(bind,[status(th)],[])).
% 4.10/4.26 tff(24,plain,
% 4.10/4.26 (![X0: $i, X1: $i, X2: $i] : (((mult(mult(X0, X1), X2) = mult(X0, mult(X1, X2))) & (mult(mult(X0, X2), X1) = mult(X0, mult(X2, X1)))) | ((mult(mult(X0, X1), X2) = mult(X0, mult(X2, X1))) & (mult(mult(X0, X2), X1) = mult(X0, mult(X1, X2))))) <=> ![X0: $i, X1: $i, X2: $i] : (((mult(mult(X0, X1), X2) = mult(X0, mult(X2, X1))) & (mult(mult(X0, X2), X1) = mult(X0, mult(X1, X2)))) | ((mult(mult(X0, X1), X2) = mult(X0, mult(X1, X2))) & (mult(mult(X0, X2), X1) = mult(X0, mult(X2, X1)))))),
% 4.10/4.26 inference(quant_intro,[status(thm)],[23])).
% 4.10/4.26 tff(25,axiom,(![X0: $i, X1: $i, X2: $i] : (((mult(mult(X0, X1), X2) = mult(X0, mult(X1, X2))) & (mult(mult(X0, X2), X1) = mult(X0, mult(X2, X1)))) | ((mult(mult(X0, X1), X2) = mult(X0, mult(X2, X1))) & (mult(mult(X0, X2), X1) = mult(X0, mult(X1, X2)))))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','f08')).
% 4.10/4.26 tff(26,plain,
% 4.10/4.26 (![X0: $i, X1: $i, X2: $i] : (((mult(mult(X0, X1), X2) = mult(X0, mult(X2, X1))) & (mult(mult(X0, X2), X1) = mult(X0, mult(X1, X2)))) | ((mult(mult(X0, X1), X2) = mult(X0, mult(X1, X2))) & (mult(mult(X0, X2), X1) = mult(X0, mult(X2, X1)))))),
% 4.10/4.26 inference(modus_ponens,[status(thm)],[25, 24])).
% 4.10/4.26 tff(27,plain,
% 4.10/4.26 (![X0: $i, X1: $i, X2: $i] : (((mult(mult(X0, X1), X2) = mult(X0, mult(X2, X1))) & (mult(mult(X0, X2), X1) = mult(X0, mult(X1, X2)))) | ((mult(mult(X0, X1), X2) = mult(X0, mult(X1, X2))) & (mult(mult(X0, X2), X1) = mult(X0, mult(X2, X1)))))),
% 4.10/4.26 inference(modus_ponens,[status(thm)],[26, 22])).
% 4.10/4.26 tff(28,plain,(
% 4.10/4.26 ![X0: $i, X1: $i, X2: $i] : (((mult(mult(X0, X1), X2) = mult(X0, mult(X2, X1))) & (mult(mult(X0, X2), X1) = mult(X0, mult(X1, X2)))) | ((mult(mult(X0, X1), X2) = mult(X0, mult(X1, X2))) & (mult(mult(X0, X2), X1) = mult(X0, mult(X2, X1)))))),
% 4.10/4.26 inference(skolemize,[status(sab)],[27])).
% 4.10/4.26 tff(29,plain,
% 4.10/4.26 (![X0: $i, X1: $i, X2: $i] : ((~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X2, X1)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X1, X2)))))) | (~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X1, X2)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X2, X1)))))))),
% 4.10/4.26 inference(modus_ponens,[status(thm)],[28, 21])).
% 4.10/4.27 tff(30,plain,
% 4.10/4.27 (![X0: $i, X1: $i, X2: $i] : ((~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X2, X1)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X1, X2)))))) | (~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X1, X2)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X2, X1)))))))),
% 4.10/4.27 inference(modus_ponens,[status(thm)],[29, 19])).
% 4.10/4.27 tff(31,plain,
% 4.10/4.27 (((~![X0: $i, X1: $i, X2: $i] : ((~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X2, X1)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X1, X2)))))) | (~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X1, X2)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X2, X1)))))))) | ((~((~(mult(mult(b, c), a) = mult(b, mult(a, c)))) | (~(mult(mult(b, a), c) = mult(b, mult(c, a)))))) | (~((~(mult(mult(b, c), a) = mult(b, mult(c, a)))) | (~(mult(mult(b, a), c) = mult(b, mult(a, c)))))))) <=> ((~![X0: $i, X1: $i, X2: $i] : ((~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X2, X1)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X1, X2)))))) | (~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X1, X2)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X2, X1)))))))) | (~((~(mult(mult(b, c), a) = mult(b, mult(a, c)))) | (~(mult(mult(b, a), c) = mult(b, mult(c, a)))))) | (~((~(mult(mult(b, c), a) = mult(b, mult(c, a)))) | (~(mult(mult(b, a), c) = mult(b, mult(a, c)))))))),
% 4.10/4.27 inference(rewrite,[status(thm)],[])).
% 4.10/4.27 tff(32,plain,
% 4.10/4.27 ((~![X0: $i, X1: $i, X2: $i] : ((~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X2, X1)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X1, X2)))))) | (~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X1, X2)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X2, X1)))))))) | ((~((~(mult(mult(b, c), a) = mult(b, mult(a, c)))) | (~(mult(mult(b, a), c) = mult(b, mult(c, a)))))) | (~((~(mult(mult(b, c), a) = mult(b, mult(c, a)))) | (~(mult(mult(b, a), c) = mult(b, mult(a, c)))))))),
% 4.10/4.27 inference(quant_inst,[status(thm)],[])).
% 4.10/4.27 tff(33,plain,
% 4.10/4.27 ((~![X0: $i, X1: $i, X2: $i] : ((~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X2, X1)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X1, X2)))))) | (~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X1, X2)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X2, X1)))))))) | (~((~(mult(mult(b, c), a) = mult(b, mult(a, c)))) | (~(mult(mult(b, a), c) = mult(b, mult(c, a)))))) | (~((~(mult(mult(b, c), a) = mult(b, mult(c, a)))) | (~(mult(mult(b, a), c) = mult(b, mult(a, c))))))),
% 4.10/4.27 inference(modus_ponens,[status(thm)],[32, 31])).
% 4.10/4.27 tff(34,plain,
% 4.10/4.27 ((~((~(mult(mult(b, c), a) = mult(b, mult(a, c)))) | (~(mult(mult(b, a), c) = mult(b, mult(c, a)))))) | (~((~(mult(mult(b, c), a) = mult(b, mult(c, a)))) | (~(mult(mult(b, a), c) = mult(b, mult(a, c))))))),
% 4.10/4.27 inference(unit_resolution,[status(thm)],[33, 30])).
% 4.10/4.27 tff(35,plain,
% 4.10/4.27 (~((~(mult(mult(b, c), a) = mult(b, mult(c, a)))) | (~(mult(mult(b, a), c) = mult(b, mult(a, c)))))),
% 4.10/4.27 inference(unit_resolution,[status(thm)],[34, 17])).
% 4.10/4.27 tff(36,plain,
% 4.10/4.27 (((~(mult(mult(b, c), a) = mult(b, mult(c, a)))) | (~(mult(mult(b, a), c) = mult(b, mult(a, c))))) | (mult(mult(b, c), a) = mult(b, mult(c, a)))),
% 4.10/4.27 inference(tautology,[status(thm)],[])).
% 4.10/4.27 tff(37,plain,
% 4.10/4.27 (mult(mult(b, c), a) = mult(b, mult(c, a))),
% 4.10/4.27 inference(unit_resolution,[status(thm)],[36, 35])).
% 4.10/4.27 tff(38,plain,
% 4.10/4.27 ((~![B: $i, A: $i] : (ld(A, mult(A, B)) = B)) | (ld(a, mult(a, mult(b, c))) = mult(b, c))),
% 4.10/4.27 inference(quant_inst,[status(thm)],[])).
% 4.10/4.27 tff(39,plain,
% 4.10/4.27 (ld(a, mult(a, mult(b, c))) = mult(b, c)),
% 4.10/4.27 inference(unit_resolution,[status(thm)],[38, 9])).
% 4.10/4.27 tff(40,assumption,(~(mult(mult(c, a), b) = mult(c, mult(b, a)))), introduced(assumption)).
% 4.10/4.27 tff(41,assumption,(~(mult(mult(a, c), b) = mult(a, mult(c, b)))), introduced(assumption)).
% 4.10/4.27 tff(42,plain,
% 4.10/4.27 (((~(mult(mult(a, c), b) = mult(a, mult(c, b)))) | (~(mult(mult(a, b), c) = mult(a, mult(b, c))))) | (mult(mult(a, c), b) = mult(a, mult(c, b)))),
% 4.10/4.27 inference(tautology,[status(thm)],[])).
% 4.10/4.27 tff(43,plain,
% 4.10/4.27 ((~(mult(mult(a, c), b) = mult(a, mult(c, b)))) | (~(mult(mult(a, b), c) = mult(a, mult(b, c))))),
% 4.10/4.27 inference(unit_resolution,[status(thm)],[42, 41])).
% 4.10/4.27 tff(44,plain,
% 4.10/4.27 ((mult(a, mult(b, c)) = mult(mult(a, b), c)) <=> (mult(mult(a, b), c) = mult(a, mult(b, c)))),
% 4.10/4.27 inference(commutativity,[status(thm)],[])).
% 4.10/4.27 tff(45,assumption,((~(mult(mult(a, c), b) = mult(a, mult(c, b)))) | (~(mult(mult(a, b), c) = mult(a, mult(b, c))))), introduced(assumption)).
% 4.10/4.27 tff(46,plain,
% 4.10/4.27 (((~![X0: $i, X1: $i, X2: $i] : ((~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X2, X1)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X1, X2)))))) | (~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X1, X2)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X2, X1)))))))) | ((~((~(mult(mult(a, c), b) = mult(a, mult(b, c)))) | (~(mult(mult(a, b), c) = mult(a, mult(c, b)))))) | (~((~(mult(mult(a, c), b) = mult(a, mult(c, b)))) | (~(mult(mult(a, b), c) = mult(a, mult(b, c)))))))) <=> ((~![X0: $i, X1: $i, X2: $i] : ((~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X2, X1)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X1, X2)))))) | (~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X1, X2)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X2, X1)))))))) | (~((~(mult(mult(a, c), b) = mult(a, mult(b, c)))) | (~(mult(mult(a, b), c) = mult(a, mult(c, b)))))) | (~((~(mult(mult(a, c), b) = mult(a, mult(c, b)))) | (~(mult(mult(a, b), c) = mult(a, mult(b, c)))))))),
% 4.10/4.27 inference(rewrite,[status(thm)],[])).
% 4.10/4.27 tff(47,plain,
% 4.10/4.27 ((~![X0: $i, X1: $i, X2: $i] : ((~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X2, X1)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X1, X2)))))) | (~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X1, X2)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X2, X1)))))))) | ((~((~(mult(mult(a, c), b) = mult(a, mult(b, c)))) | (~(mult(mult(a, b), c) = mult(a, mult(c, b)))))) | (~((~(mult(mult(a, c), b) = mult(a, mult(c, b)))) | (~(mult(mult(a, b), c) = mult(a, mult(b, c)))))))),
% 4.10/4.27 inference(quant_inst,[status(thm)],[])).
% 4.10/4.27 tff(48,plain,
% 4.10/4.27 ((~![X0: $i, X1: $i, X2: $i] : ((~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X2, X1)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X1, X2)))))) | (~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X1, X2)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X2, X1)))))))) | (~((~(mult(mult(a, c), b) = mult(a, mult(b, c)))) | (~(mult(mult(a, b), c) = mult(a, mult(c, b)))))) | (~((~(mult(mult(a, c), b) = mult(a, mult(c, b)))) | (~(mult(mult(a, b), c) = mult(a, mult(b, c))))))),
% 4.10/4.27 inference(modus_ponens,[status(thm)],[47, 46])).
% 4.10/4.27 tff(49,plain,
% 4.10/4.27 ((~((~(mult(mult(a, c), b) = mult(a, mult(b, c)))) | (~(mult(mult(a, b), c) = mult(a, mult(c, b)))))) | (~((~(mult(mult(a, c), b) = mult(a, mult(c, b)))) | (~(mult(mult(a, b), c) = mult(a, mult(b, c))))))),
% 4.10/4.27 inference(unit_resolution,[status(thm)],[48, 30])).
% 4.10/4.27 tff(50,plain,
% 4.10/4.27 (~((~(mult(mult(a, c), b) = mult(a, mult(b, c)))) | (~(mult(mult(a, b), c) = mult(a, mult(c, b)))))),
% 4.10/4.27 inference(unit_resolution,[status(thm)],[49, 45])).
% 4.10/4.27 tff(51,plain,
% 4.10/4.27 (((~(mult(mult(a, c), b) = mult(a, mult(b, c)))) | (~(mult(mult(a, b), c) = mult(a, mult(c, b))))) | (mult(mult(a, b), c) = mult(a, mult(c, b)))),
% 4.10/4.27 inference(tautology,[status(thm)],[])).
% 4.10/4.27 tff(52,plain,
% 4.10/4.27 (mult(mult(a, b), c) = mult(a, mult(c, b))),
% 4.10/4.27 inference(unit_resolution,[status(thm)],[51, 50])).
% 4.10/4.27 tff(53,plain,
% 4.10/4.27 (mult(a, mult(c, b)) = mult(mult(a, b), c)),
% 4.10/4.27 inference(symmetry,[status(thm)],[52])).
% 4.10/4.27 tff(54,plain,
% 4.10/4.27 (((~(mult(mult(a, c), b) = mult(a, mult(b, c)))) | (~(mult(mult(a, b), c) = mult(a, mult(c, b))))) | (mult(mult(a, c), b) = mult(a, mult(b, c)))),
% 4.10/4.27 inference(tautology,[status(thm)],[])).
% 4.10/4.27 tff(55,plain,
% 4.10/4.27 (mult(mult(a, c), b) = mult(a, mult(b, c))),
% 4.10/4.27 inference(unit_resolution,[status(thm)],[54, 50])).
% 4.10/4.27 tff(56,plain,
% 4.10/4.27 ((mult(mult(a, c), b) = mult(a, mult(c, b))) <=> (mult(a, mult(b, c)) = mult(mult(a, b), c))),
% 4.10/4.27 inference(monotonicity,[status(thm)],[55, 53])).
% 4.10/4.27 tff(57,plain,
% 4.10/4.27 ((mult(mult(a, c), b) = mult(a, mult(c, b))) <=> (mult(mult(a, b), c) = mult(a, mult(b, c)))),
% 4.10/4.27 inference(transitivity,[status(thm)],[56, 44])).
% 4.10/4.27 tff(58,plain,
% 4.10/4.27 ((mult(mult(a, b), c) = mult(a, mult(b, c))) <=> (mult(mult(a, c), b) = mult(a, mult(c, b)))),
% 4.10/4.27 inference(symmetry,[status(thm)],[57])).
% 4.10/4.27 tff(59,assumption,(mult(mult(a, b), c) = mult(a, mult(b, c))), introduced(assumption)).
% 4.10/4.27 tff(60,plain,
% 4.10/4.27 (mult(mult(a, c), b) = mult(a, mult(c, b))),
% 4.10/4.27 inference(modus_ponens,[status(thm)],[59, 58])).
% 4.10/4.27 tff(61,plain,
% 4.10/4.27 ((~((~(mult(mult(a, c), b) = mult(a, mult(c, b)))) | (~(mult(mult(a, b), c) = mult(a, mult(b, c)))))) | (~(mult(mult(a, c), b) = mult(a, mult(c, b)))) | (~(mult(mult(a, b), c) = mult(a, mult(b, c))))),
% 4.10/4.27 inference(tautology,[status(thm)],[])).
% 4.10/4.27 tff(62,plain,
% 4.10/4.27 (~(mult(mult(a, c), b) = mult(a, mult(c, b)))),
% 4.10/4.27 inference(unit_resolution,[status(thm)],[61, 59, 45])).
% 4.10/4.27 tff(63,plain,
% 4.10/4.27 ($false),
% 4.10/4.27 inference(unit_resolution,[status(thm)],[62, 60])).
% 4.10/4.27 tff(64,plain,((~(mult(mult(a, b), c) = mult(a, mult(b, c)))) | (~((~(mult(mult(a, c), b) = mult(a, mult(c, b)))) | (~(mult(mult(a, b), c) = mult(a, mult(b, c))))))), inference(lemma,lemma(discharge,[]))).
% 4.10/4.27 tff(65,plain,
% 4.10/4.27 (~(mult(mult(a, b), c) = mult(a, mult(b, c)))),
% 4.10/4.27 inference(unit_resolution,[status(thm)],[64, 43])).
% 4.10/4.27 tff(66,plain,
% 4.10/4.27 (^[B: $i, A: $i] : refl((rd(mult(A, B), B) = A) <=> (rd(mult(A, B), B) = A))),
% 4.10/4.27 inference(bind,[status(th)],[])).
% 4.10/4.27 tff(67,plain,
% 4.10/4.27 (![B: $i, A: $i] : (rd(mult(A, B), B) = A) <=> ![B: $i, A: $i] : (rd(mult(A, B), B) = A)),
% 4.10/4.27 inference(quant_intro,[status(thm)],[66])).
% 4.10/4.27 tff(68,plain,
% 4.10/4.27 (![B: $i, A: $i] : (rd(mult(A, B), B) = A) <=> ![B: $i, A: $i] : (rd(mult(A, B), B) = A)),
% 4.10/4.27 inference(rewrite,[status(thm)],[])).
% 4.10/4.27 tff(69,axiom,(![B: $i, A: $i] : (rd(mult(A, B), B) = A)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','f04')).
% 4.10/4.27 tff(70,plain,
% 4.10/4.27 (![B: $i, A: $i] : (rd(mult(A, B), B) = A)),
% 4.10/4.27 inference(modus_ponens,[status(thm)],[69, 68])).
% 4.10/4.27 tff(71,plain,(
% 4.10/4.27 ![B: $i, A: $i] : (rd(mult(A, B), B) = A)),
% 4.10/4.27 inference(skolemize,[status(sab)],[70])).
% 4.10/4.27 tff(72,plain,
% 4.10/4.27 (![B: $i, A: $i] : (rd(mult(A, B), B) = A)),
% 4.10/4.27 inference(modus_ponens,[status(thm)],[71, 67])).
% 4.10/4.27 tff(73,plain,
% 4.10/4.27 ((~![B: $i, A: $i] : (rd(mult(A, B), B) = A)) | (rd(mult(mult(c, b), a), a) = mult(c, b))),
% 4.10/4.27 inference(quant_inst,[status(thm)],[])).
% 4.10/4.27 tff(74,plain,
% 4.10/4.27 (rd(mult(mult(c, b), a), a) = mult(c, b)),
% 4.10/4.27 inference(unit_resolution,[status(thm)],[73, 72])).
% 4.10/4.27 tff(75,plain,
% 4.10/4.27 (mult(b, mult(c, a)) = mult(mult(b, c), a)),
% 4.10/4.27 inference(symmetry,[status(thm)],[37])).
% 4.10/4.27 tff(76,plain,
% 4.10/4.27 ((~![B: $i, A: $i] : (ld(A, mult(A, B)) = B)) | (ld(a, mult(a, mult(b, mult(c, a)))) = mult(b, mult(c, a)))),
% 4.10/4.27 inference(quant_inst,[status(thm)],[])).
% 4.10/4.27 tff(77,plain,
% 4.10/4.27 (ld(a, mult(a, mult(b, mult(c, a)))) = mult(b, mult(c, a))),
% 4.10/4.27 inference(unit_resolution,[status(thm)],[76, 9])).
% 4.10/4.27 tff(78,assumption,(~(mult(mult(a, mult(c, b)), a) = mult(a, mult(mult(c, b), a)))), introduced(assumption)).
% 4.10/4.27 tff(79,plain,
% 4.10/4.27 (((~(mult(mult(a, a), mult(c, b)) = mult(a, mult(a, mult(c, b))))) | (~(mult(mult(a, mult(c, b)), a) = mult(a, mult(mult(c, b), a))))) | (mult(mult(a, mult(c, b)), a) = mult(a, mult(mult(c, b), a)))),
% 4.10/4.27 inference(tautology,[status(thm)],[])).
% 4.10/4.27 tff(80,plain,
% 4.10/4.27 ((~(mult(mult(a, a), mult(c, b)) = mult(a, mult(a, mult(c, b))))) | (~(mult(mult(a, mult(c, b)), a) = mult(a, mult(mult(c, b), a))))),
% 4.10/4.27 inference(unit_resolution,[status(thm)],[79, 78])).
% 4.10/4.27 tff(81,assumption,((~(mult(mult(a, a), mult(c, b)) = mult(a, mult(mult(c, b), a)))) | (~(mult(mult(a, mult(c, b)), a) = mult(a, mult(a, mult(c, b)))))), introduced(assumption)).
% 4.10/4.27 tff(82,plain,
% 4.10/4.27 (((~![X0: $i, X1: $i, X2: $i] : ((~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X2, X1)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X1, X2)))))) | (~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X1, X2)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X2, X1)))))))) | ((~((~(mult(mult(a, a), mult(c, b)) = mult(a, mult(mult(c, b), a)))) | (~(mult(mult(a, mult(c, b)), a) = mult(a, mult(a, mult(c, b))))))) | (~((~(mult(mult(a, a), mult(c, b)) = mult(a, mult(a, mult(c, b))))) | (~(mult(mult(a, mult(c, b)), a) = mult(a, mult(mult(c, b), a)))))))) <=> ((~![X0: $i, X1: $i, X2: $i] : ((~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X2, X1)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X1, X2)))))) | (~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X1, X2)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X2, X1)))))))) | (~((~(mult(mult(a, a), mult(c, b)) = mult(a, mult(mult(c, b), a)))) | (~(mult(mult(a, mult(c, b)), a) = mult(a, mult(a, mult(c, b))))))) | (~((~(mult(mult(a, a), mult(c, b)) = mult(a, mult(a, mult(c, b))))) | (~(mult(mult(a, mult(c, b)), a) = mult(a, mult(mult(c, b), a)))))))),
% 4.10/4.27 inference(rewrite,[status(thm)],[])).
% 4.10/4.27 tff(83,plain,
% 4.10/4.27 ((~![X0: $i, X1: $i, X2: $i] : ((~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X2, X1)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X1, X2)))))) | (~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X1, X2)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X2, X1)))))))) | ((~((~(mult(mult(a, a), mult(c, b)) = mult(a, mult(mult(c, b), a)))) | (~(mult(mult(a, mult(c, b)), a) = mult(a, mult(a, mult(c, b))))))) | (~((~(mult(mult(a, a), mult(c, b)) = mult(a, mult(a, mult(c, b))))) | (~(mult(mult(a, mult(c, b)), a) = mult(a, mult(mult(c, b), a)))))))),
% 4.10/4.27 inference(quant_inst,[status(thm)],[])).
% 4.10/4.27 tff(84,plain,
% 4.10/4.27 ((~![X0: $i, X1: $i, X2: $i] : ((~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X2, X1)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X1, X2)))))) | (~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X1, X2)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X2, X1)))))))) | (~((~(mult(mult(a, a), mult(c, b)) = mult(a, mult(mult(c, b), a)))) | (~(mult(mult(a, mult(c, b)), a) = mult(a, mult(a, mult(c, b))))))) | (~((~(mult(mult(a, a), mult(c, b)) = mult(a, mult(a, mult(c, b))))) | (~(mult(mult(a, mult(c, b)), a) = mult(a, mult(mult(c, b), a))))))),
% 4.10/4.27 inference(modus_ponens,[status(thm)],[83, 82])).
% 4.10/4.27 tff(85,plain,
% 4.10/4.27 ($false),
% 4.10/4.27 inference(unit_resolution,[status(thm)],[84, 30, 81, 80])).
% 4.10/4.27 tff(86,plain,((~((~(mult(mult(a, a), mult(c, b)) = mult(a, mult(mult(c, b), a)))) | (~(mult(mult(a, mult(c, b)), a) = mult(a, mult(a, mult(c, b))))))) | (mult(mult(a, mult(c, b)), a) = mult(a, mult(mult(c, b), a)))), inference(lemma,lemma(discharge,[]))).
% 4.10/4.27 tff(87,plain,
% 4.10/4.27 (~((~(mult(mult(a, a), mult(c, b)) = mult(a, mult(mult(c, b), a)))) | (~(mult(mult(a, mult(c, b)), a) = mult(a, mult(a, mult(c, b))))))),
% 4.10/4.27 inference(unit_resolution,[status(thm)],[86, 78])).
% 4.10/4.27 tff(88,plain,
% 4.10/4.27 (((~(mult(mult(a, a), mult(c, b)) = mult(a, mult(mult(c, b), a)))) | (~(mult(mult(a, mult(c, b)), a) = mult(a, mult(a, mult(c, b)))))) | (mult(mult(a, mult(c, b)), a) = mult(a, mult(a, mult(c, b))))),
% 4.10/4.27 inference(tautology,[status(thm)],[])).
% 4.10/4.27 tff(89,plain,
% 4.10/4.27 (mult(mult(a, mult(c, b)), a) = mult(a, mult(a, mult(c, b)))),
% 4.10/4.27 inference(unit_resolution,[status(thm)],[88, 87])).
% 4.10/4.27 tff(90,plain,
% 4.10/4.27 (~((~(mult(mult(a, c), b) = mult(a, mult(b, c)))) | (~(mult(mult(a, b), c) = mult(a, mult(c, b)))))),
% 4.10/4.27 inference(unit_resolution,[status(thm)],[49, 43])).
% 4.10/4.27 tff(91,plain,
% 4.10/4.27 (mult(mult(a, b), c) = mult(a, mult(c, b))),
% 4.10/4.27 inference(unit_resolution,[status(thm)],[51, 90])).
% 4.10/4.27 tff(92,plain,
% 4.10/4.27 ((mult(c, mult(b, a)) = mult(mult(c, b), a)) <=> (mult(mult(c, b), a) = mult(c, mult(b, a)))),
% 4.10/4.27 inference(commutativity,[status(thm)],[])).
% 4.10/4.27 tff(93,assumption,(mult(mult(mult(a, c), b), a) = mult(mult(a, c), mult(b, a))), introduced(assumption)).
% 4.10/4.27 tff(94,assumption,(~((~(mult(mult(a, a), mult(b, c)) = mult(a, mult(mult(b, c), a)))) | (~(mult(mult(a, mult(b, c)), a) = mult(a, mult(a, mult(b, c))))))), introduced(assumption)).
% 4.10/4.27 tff(95,plain,
% 4.10/4.27 (((~(mult(mult(a, a), mult(b, c)) = mult(a, mult(mult(b, c), a)))) | (~(mult(mult(a, mult(b, c)), a) = mult(a, mult(a, mult(b, c)))))) | (mult(mult(a, mult(b, c)), a) = mult(a, mult(a, mult(b, c))))),
% 4.10/4.27 inference(tautology,[status(thm)],[])).
% 4.10/4.27 tff(96,plain,
% 4.10/4.27 (mult(mult(a, mult(b, c)), a) = mult(a, mult(a, mult(b, c)))),
% 4.10/4.27 inference(unit_resolution,[status(thm)],[95, 94])).
% 4.10/4.27 tff(97,plain,
% 4.10/4.27 (mult(mult(a, c), b) = mult(a, mult(b, c))),
% 4.10/4.27 inference(unit_resolution,[status(thm)],[54, 90])).
% 4.10/4.27 tff(98,plain,
% 4.10/4.27 (((~(mult(mult(b, c), a) = mult(b, mult(c, a)))) | (~(mult(mult(b, a), c) = mult(b, mult(a, c))))) | (mult(mult(b, a), c) = mult(b, mult(a, c)))),
% 4.10/4.27 inference(tautology,[status(thm)],[])).
% 4.10/4.27 tff(99,plain,
% 4.10/4.27 (mult(mult(b, a), c) = mult(b, mult(a, c))),
% 4.10/4.27 inference(unit_resolution,[status(thm)],[98, 35])).
% 4.10/4.28 tff(100,plain,
% 4.10/4.28 (((~(mult(mult(a, a), mult(b, c)) = mult(a, mult(mult(b, c), a)))) | (~(mult(mult(a, mult(b, c)), a) = mult(a, mult(a, mult(b, c)))))) | (mult(mult(a, a), mult(b, c)) = mult(a, mult(mult(b, c), a)))),
% 4.10/4.28 inference(tautology,[status(thm)],[])).
% 4.10/4.28 tff(101,plain,
% 4.10/4.28 (mult(mult(a, a), mult(b, c)) = mult(a, mult(mult(b, c), a))),
% 4.10/4.28 inference(unit_resolution,[status(thm)],[100, 94])).
% 4.10/4.28 tff(102,assumption,(mult(mult(b, c), a) = mult(b, mult(c, a))), introduced(assumption)).
% 4.10/4.28 tff(103,plain,
% 4.10/4.28 (mult(a, mult(mult(b, c), a)) = mult(a, mult(b, mult(c, a)))),
% 4.10/4.28 inference(monotonicity,[status(thm)],[102])).
% 4.10/4.28 tff(104,assumption,(mult(mult(a, a), mult(b, c)) = mult(a, mult(mult(b, c), a))), introduced(assumption)).
% 4.10/4.28 tff(105,plain,
% 4.10/4.28 (mult(mult(a, a), mult(b, c)) = mult(a, mult(b, mult(c, a)))),
% 4.10/4.28 inference(transitivity,[status(thm)],[104, 103])).
% 4.10/4.28 tff(106,assumption,(mult(mult(a, b), c) = mult(a, mult(c, b))), introduced(assumption)).
% 4.10/4.28 tff(107,plain,
% 4.10/4.28 (mult(mult(mult(a, b), c), a) = mult(mult(a, mult(c, b)), a)),
% 4.10/4.28 inference(monotonicity,[status(thm)],[106])).
% 4.10/4.28 tff(108,plain,
% 4.10/4.28 (mult(mult(a, mult(c, b)), a) = mult(mult(mult(a, b), c), a)),
% 4.10/4.28 inference(symmetry,[status(thm)],[107])).
% 4.10/4.28 tff(109,plain,
% 4.10/4.28 (mult(a, mult(a, mult(c, b))) = mult(mult(a, mult(c, b)), a)),
% 4.10/4.28 inference(symmetry,[status(thm)],[89])).
% 4.10/4.28 tff(110,plain,
% 4.10/4.28 (mult(a, mult(c, b)) = mult(mult(a, b), c)),
% 4.10/4.28 inference(symmetry,[status(thm)],[106])).
% 4.10/4.28 tff(111,plain,
% 4.10/4.28 (mult(a, mult(a, mult(c, b))) = mult(a, mult(mult(a, b), c))),
% 4.10/4.28 inference(monotonicity,[status(thm)],[110])).
% 4.10/4.28 tff(112,plain,
% 4.10/4.28 (mult(a, mult(mult(a, b), c)) = mult(a, mult(a, mult(c, b)))),
% 4.10/4.28 inference(symmetry,[status(thm)],[111])).
% 4.10/4.28 tff(113,plain,
% 4.10/4.28 ((~![B: $i, A: $i] : (ld(A, mult(A, B)) = B)) | (ld(a, mult(a, mult(mult(a, b), c))) = mult(mult(a, b), c))),
% 4.10/4.28 inference(quant_inst,[status(thm)],[])).
% 4.10/4.28 tff(114,plain,
% 4.10/4.28 (ld(a, mult(a, mult(mult(a, b), c))) = mult(mult(a, b), c)),
% 4.10/4.28 inference(unit_resolution,[status(thm)],[113, 9])).
% 4.10/4.28 tff(115,assumption,(~(mult(mult(a, b), c) = mult(a, mult(b, c)))), introduced(assumption)).
% 4.10/4.28 tff(116,assumption,(mult(mult(a, mult(b, c)), a) = mult(a, mult(a, mult(b, c)))), introduced(assumption)).
% 4.10/4.28 tff(117,assumption,(mult(mult(a, c), b) = mult(a, mult(b, c))), introduced(assumption)).
% 4.10/4.28 tff(118,assumption,(mult(mult(b, a), c) = mult(b, mult(a, c))), introduced(assumption)).
% 4.10/4.28 tff(119,assumption,(~(mult(mult(a, c), mult(b, a)) = mult(a, mult(c, mult(b, a))))), introduced(assumption)).
% 4.10/4.28 tff(120,plain,
% 4.10/4.28 (((~(mult(mult(a, c), mult(b, a)) = mult(a, mult(c, mult(b, a))))) | (~(mult(mult(a, mult(b, a)), c) = mult(a, mult(mult(b, a), c))))) | (mult(mult(a, c), mult(b, a)) = mult(a, mult(c, mult(b, a))))),
% 4.10/4.28 inference(tautology,[status(thm)],[])).
% 4.10/4.28 tff(121,plain,
% 4.10/4.28 ((~(mult(mult(a, c), mult(b, a)) = mult(a, mult(c, mult(b, a))))) | (~(mult(mult(a, mult(b, a)), c) = mult(a, mult(mult(b, a), c))))),
% 4.10/4.28 inference(unit_resolution,[status(thm)],[120, 119])).
% 4.10/4.28 tff(122,plain,
% 4.10/4.28 (((~![X0: $i, X1: $i, X2: $i] : ((~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X2, X1)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X1, X2)))))) | (~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X1, X2)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X2, X1)))))))) | ((~((~(mult(mult(a, c), mult(b, a)) = mult(a, mult(mult(b, a), c)))) | (~(mult(mult(a, mult(b, a)), c) = mult(a, mult(c, mult(b, a))))))) | (~((~(mult(mult(a, c), mult(b, a)) = mult(a, mult(c, mult(b, a))))) | (~(mult(mult(a, mult(b, a)), c) = mult(a, mult(mult(b, a), c)))))))) <=> ((~![X0: $i, X1: $i, X2: $i] : ((~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X2, X1)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X1, X2)))))) | (~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X1, X2)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X2, X1)))))))) | (~((~(mult(mult(a, c), mult(b, a)) = mult(a, mult(mult(b, a), c)))) | (~(mult(mult(a, mult(b, a)), c) = mult(a, mult(c, mult(b, a))))))) | (~((~(mult(mult(a, c), mult(b, a)) = mult(a, mult(c, mult(b, a))))) | (~(mult(mult(a, mult(b, a)), c) = mult(a, mult(mult(b, a), c)))))))),
% 4.10/4.28 inference(rewrite,[status(thm)],[])).
% 4.10/4.28 tff(123,plain,
% 4.10/4.28 (((~((~(mult(mult(a, c), mult(b, a)) = mult(a, mult(mult(b, a), c)))) | (~(mult(mult(a, mult(b, a)), c) = mult(a, mult(c, mult(b, a))))))) | (~((~(mult(mult(a, c), mult(b, a)) = mult(a, mult(c, mult(b, a))))) | (~(mult(mult(a, mult(b, a)), c) = mult(a, mult(mult(b, a), c))))))) <=> ((~((~(mult(mult(a, c), mult(b, a)) = mult(a, mult(mult(b, a), c)))) | (~(mult(mult(a, mult(b, a)), c) = mult(a, mult(c, mult(b, a))))))) | (~((~(mult(mult(a, c), mult(b, a)) = mult(a, mult(c, mult(b, a))))) | (~(mult(mult(a, mult(b, a)), c) = mult(a, mult(mult(b, a), c)))))))),
% 4.10/4.28 inference(rewrite,[status(thm)],[])).
% 4.10/4.28 tff(124,plain,
% 4.10/4.28 ((~((~(mult(mult(a, mult(b, a)), c) = mult(a, mult(mult(b, a), c)))) | (~(mult(mult(a, c), mult(b, a)) = mult(a, mult(c, mult(b, a))))))) <=> (~((~(mult(mult(a, c), mult(b, a)) = mult(a, mult(c, mult(b, a))))) | (~(mult(mult(a, mult(b, a)), c) = mult(a, mult(mult(b, a), c))))))),
% 4.10/4.28 inference(rewrite,[status(thm)],[])).
% 4.10/4.28 tff(125,plain,
% 4.10/4.28 ((~((~(mult(mult(a, mult(b, a)), c) = mult(a, mult(c, mult(b, a))))) | (~(mult(mult(a, c), mult(b, a)) = mult(a, mult(mult(b, a), c)))))) <=> (~((~(mult(mult(a, c), mult(b, a)) = mult(a, mult(mult(b, a), c)))) | (~(mult(mult(a, mult(b, a)), c) = mult(a, mult(c, mult(b, a)))))))),
% 4.10/4.28 inference(rewrite,[status(thm)],[])).
% 4.10/4.28 tff(126,plain,
% 4.10/4.28 (((~((~(mult(mult(a, mult(b, a)), c) = mult(a, mult(c, mult(b, a))))) | (~(mult(mult(a, c), mult(b, a)) = mult(a, mult(mult(b, a), c)))))) | (~((~(mult(mult(a, mult(b, a)), c) = mult(a, mult(mult(b, a), c)))) | (~(mult(mult(a, c), mult(b, a)) = mult(a, mult(c, mult(b, a)))))))) <=> ((~((~(mult(mult(a, c), mult(b, a)) = mult(a, mult(mult(b, a), c)))) | (~(mult(mult(a, mult(b, a)), c) = mult(a, mult(c, mult(b, a))))))) | (~((~(mult(mult(a, c), mult(b, a)) = mult(a, mult(c, mult(b, a))))) | (~(mult(mult(a, mult(b, a)), c) = mult(a, mult(mult(b, a), c)))))))),
% 4.10/4.28 inference(monotonicity,[status(thm)],[125, 124])).
% 4.10/4.28 tff(127,plain,
% 4.10/4.28 (((~((~(mult(mult(a, mult(b, a)), c) = mult(a, mult(c, mult(b, a))))) | (~(mult(mult(a, c), mult(b, a)) = mult(a, mult(mult(b, a), c)))))) | (~((~(mult(mult(a, mult(b, a)), c) = mult(a, mult(mult(b, a), c)))) | (~(mult(mult(a, c), mult(b, a)) = mult(a, mult(c, mult(b, a)))))))) <=> ((~((~(mult(mult(a, c), mult(b, a)) = mult(a, mult(mult(b, a), c)))) | (~(mult(mult(a, mult(b, a)), c) = mult(a, mult(c, mult(b, a))))))) | (~((~(mult(mult(a, c), mult(b, a)) = mult(a, mult(c, mult(b, a))))) | (~(mult(mult(a, mult(b, a)), c) = mult(a, mult(mult(b, a), c)))))))),
% 4.10/4.28 inference(transitivity,[status(thm)],[126, 123])).
% 4.10/4.28 tff(128,plain,
% 4.10/4.28 (((~![X0: $i, X1: $i, X2: $i] : ((~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X2, X1)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X1, X2)))))) | (~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X1, X2)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X2, X1)))))))) | ((~((~(mult(mult(a, mult(b, a)), c) = mult(a, mult(c, mult(b, a))))) | (~(mult(mult(a, c), mult(b, a)) = mult(a, mult(mult(b, a), c)))))) | (~((~(mult(mult(a, mult(b, a)), c) = mult(a, mult(mult(b, a), c)))) | (~(mult(mult(a, c), mult(b, a)) = mult(a, mult(c, mult(b, a))))))))) <=> ((~![X0: $i, X1: $i, X2: $i] : ((~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X2, X1)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X1, X2)))))) | (~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X1, X2)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X2, X1)))))))) | ((~((~(mult(mult(a, c), mult(b, a)) = mult(a, mult(mult(b, a), c)))) | (~(mult(mult(a, mult(b, a)), c) = mult(a, mult(c, mult(b, a))))))) | (~((~(mult(mult(a, c), mult(b, a)) = mult(a, mult(c, mult(b, a))))) | (~(mult(mult(a, mult(b, a)), c) = mult(a, mult(mult(b, a), c))))))))),
% 4.10/4.28 inference(monotonicity,[status(thm)],[127])).
% 4.10/4.28 tff(129,plain,
% 4.10/4.28 (((~![X0: $i, X1: $i, X2: $i] : ((~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X2, X1)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X1, X2)))))) | (~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X1, X2)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X2, X1)))))))) | ((~((~(mult(mult(a, mult(b, a)), c) = mult(a, mult(c, mult(b, a))))) | (~(mult(mult(a, c), mult(b, a)) = mult(a, mult(mult(b, a), c)))))) | (~((~(mult(mult(a, mult(b, a)), c) = mult(a, mult(mult(b, a), c)))) | (~(mult(mult(a, c), mult(b, a)) = mult(a, mult(c, mult(b, a))))))))) <=> ((~![X0: $i, X1: $i, X2: $i] : ((~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X2, X1)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X1, X2)))))) | (~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X1, X2)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X2, X1)))))))) | (~((~(mult(mult(a, c), mult(b, a)) = mult(a, mult(mult(b, a), c)))) | (~(mult(mult(a, mult(b, a)), c) = mult(a, mult(c, mult(b, a))))))) | (~((~(mult(mult(a, c), mult(b, a)) = mult(a, mult(c, mult(b, a))))) | (~(mult(mult(a, mult(b, a)), c) = mult(a, mult(mult(b, a), c)))))))),
% 4.10/4.28 inference(transitivity,[status(thm)],[128, 122])).
% 4.10/4.28 tff(130,plain,
% 4.10/4.28 ((~![X0: $i, X1: $i, X2: $i] : ((~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X2, X1)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X1, X2)))))) | (~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X1, X2)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X2, X1)))))))) | ((~((~(mult(mult(a, mult(b, a)), c) = mult(a, mult(c, mult(b, a))))) | (~(mult(mult(a, c), mult(b, a)) = mult(a, mult(mult(b, a), c)))))) | (~((~(mult(mult(a, mult(b, a)), c) = mult(a, mult(mult(b, a), c)))) | (~(mult(mult(a, c), mult(b, a)) = mult(a, mult(c, mult(b, a))))))))),
% 4.10/4.28 inference(quant_inst,[status(thm)],[])).
% 4.10/4.28 tff(131,plain,
% 4.10/4.28 ((~![X0: $i, X1: $i, X2: $i] : ((~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X2, X1)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X1, X2)))))) | (~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X1, X2)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X2, X1)))))))) | (~((~(mult(mult(a, c), mult(b, a)) = mult(a, mult(mult(b, a), c)))) | (~(mult(mult(a, mult(b, a)), c) = mult(a, mult(c, mult(b, a))))))) | (~((~(mult(mult(a, c), mult(b, a)) = mult(a, mult(c, mult(b, a))))) | (~(mult(mult(a, mult(b, a)), c) = mult(a, mult(mult(b, a), c))))))),
% 4.10/4.28 inference(modus_ponens,[status(thm)],[130, 129])).
% 4.10/4.28 tff(132,plain,
% 4.10/4.28 ((~((~(mult(mult(a, c), mult(b, a)) = mult(a, mult(mult(b, a), c)))) | (~(mult(mult(a, mult(b, a)), c) = mult(a, mult(c, mult(b, a))))))) | (~((~(mult(mult(a, c), mult(b, a)) = mult(a, mult(c, mult(b, a))))) | (~(mult(mult(a, mult(b, a)), c) = mult(a, mult(mult(b, a), c))))))),
% 4.10/4.28 inference(unit_resolution,[status(thm)],[131, 30])).
% 4.10/4.28 tff(133,plain,
% 4.10/4.28 (~((~(mult(mult(a, c), mult(b, a)) = mult(a, mult(mult(b, a), c)))) | (~(mult(mult(a, mult(b, a)), c) = mult(a, mult(c, mult(b, a))))))),
% 4.10/4.28 inference(unit_resolution,[status(thm)],[132, 121])).
% 4.10/4.28 tff(134,plain,
% 4.10/4.28 (((~(mult(mult(a, c), mult(b, a)) = mult(a, mult(mult(b, a), c)))) | (~(mult(mult(a, mult(b, a)), c) = mult(a, mult(c, mult(b, a)))))) | (mult(mult(a, c), mult(b, a)) = mult(a, mult(mult(b, a), c)))),
% 4.10/4.28 inference(tautology,[status(thm)],[])).
% 4.10/4.28 tff(135,plain,
% 4.10/4.28 (mult(mult(a, c), mult(b, a)) = mult(a, mult(mult(b, a), c))),
% 4.10/4.28 inference(unit_resolution,[status(thm)],[134, 133])).
% 4.10/4.28 tff(136,plain,
% 4.10/4.28 ((mult(a, mult(mult(a, c), b)) = mult(mult(a, b), mult(a, c))) <=> (mult(mult(a, b), mult(a, c)) = mult(a, mult(mult(a, c), b)))),
% 4.10/4.28 inference(commutativity,[status(thm)],[])).
% 4.10/4.28 tff(137,assumption,(~(mult(mult(a, b), mult(a, c)) = mult(a, mult(mult(a, c), b)))), introduced(assumption)).
% 4.10/4.28 tff(138,plain,
% 4.10/4.28 (((~(mult(mult(a, mult(a, c)), b) = mult(a, mult(b, mult(a, c))))) | (~(mult(mult(a, b), mult(a, c)) = mult(a, mult(mult(a, c), b))))) | (mult(mult(a, b), mult(a, c)) = mult(a, mult(mult(a, c), b)))),
% 4.10/4.28 inference(tautology,[status(thm)],[])).
% 4.10/4.28 tff(139,plain,
% 4.10/4.28 ((~(mult(mult(a, mult(a, c)), b) = mult(a, mult(b, mult(a, c))))) | (~(mult(mult(a, b), mult(a, c)) = mult(a, mult(mult(a, c), b))))),
% 4.10/4.28 inference(unit_resolution,[status(thm)],[138, 137])).
% 4.10/4.28 tff(140,plain,
% 4.10/4.28 (((~![X0: $i, X1: $i, X2: $i] : ((~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X2, X1)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X1, X2)))))) | (~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X1, X2)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X2, X1)))))))) | ((~((~(mult(mult(a, mult(a, c)), b) = mult(a, mult(b, mult(a, c))))) | (~(mult(mult(a, b), mult(a, c)) = mult(a, mult(mult(a, c), b)))))) | (~((~(mult(mult(a, mult(a, c)), b) = mult(a, mult(mult(a, c), b)))) | (~(mult(mult(a, b), mult(a, c)) = mult(a, mult(b, mult(a, c))))))))) <=> ((~![X0: $i, X1: $i, X2: $i] : ((~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X2, X1)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X1, X2)))))) | (~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X1, X2)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X2, X1)))))))) | (~((~(mult(mult(a, mult(a, c)), b) = mult(a, mult(b, mult(a, c))))) | (~(mult(mult(a, b), mult(a, c)) = mult(a, mult(mult(a, c), b)))))) | (~((~(mult(mult(a, mult(a, c)), b) = mult(a, mult(mult(a, c), b)))) | (~(mult(mult(a, b), mult(a, c)) = mult(a, mult(b, mult(a, c))))))))),
% 4.10/4.28 inference(rewrite,[status(thm)],[])).
% 4.10/4.28 tff(141,plain,
% 4.10/4.28 ((~![X0: $i, X1: $i, X2: $i] : ((~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X2, X1)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X1, X2)))))) | (~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X1, X2)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X2, X1)))))))) | ((~((~(mult(mult(a, mult(a, c)), b) = mult(a, mult(b, mult(a, c))))) | (~(mult(mult(a, b), mult(a, c)) = mult(a, mult(mult(a, c), b)))))) | (~((~(mult(mult(a, mult(a, c)), b) = mult(a, mult(mult(a, c), b)))) | (~(mult(mult(a, b), mult(a, c)) = mult(a, mult(b, mult(a, c))))))))),
% 4.10/4.28 inference(quant_inst,[status(thm)],[])).
% 4.10/4.28 tff(142,plain,
% 4.10/4.28 ((~![X0: $i, X1: $i, X2: $i] : ((~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X2, X1)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X1, X2)))))) | (~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X1, X2)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X2, X1)))))))) | (~((~(mult(mult(a, mult(a, c)), b) = mult(a, mult(b, mult(a, c))))) | (~(mult(mult(a, b), mult(a, c)) = mult(a, mult(mult(a, c), b)))))) | (~((~(mult(mult(a, mult(a, c)), b) = mult(a, mult(mult(a, c), b)))) | (~(mult(mult(a, b), mult(a, c)) = mult(a, mult(b, mult(a, c)))))))),
% 4.10/4.28 inference(modus_ponens,[status(thm)],[141, 140])).
% 4.10/4.28 tff(143,plain,
% 4.10/4.28 ((~((~(mult(mult(a, mult(a, c)), b) = mult(a, mult(b, mult(a, c))))) | (~(mult(mult(a, b), mult(a, c)) = mult(a, mult(mult(a, c), b)))))) | (~((~(mult(mult(a, mult(a, c)), b) = mult(a, mult(mult(a, c), b)))) | (~(mult(mult(a, b), mult(a, c)) = mult(a, mult(b, mult(a, c)))))))),
% 4.10/4.28 inference(unit_resolution,[status(thm)],[142, 30])).
% 4.10/4.28 tff(144,plain,
% 4.10/4.28 (~((~(mult(mult(a, mult(a, c)), b) = mult(a, mult(mult(a, c), b)))) | (~(mult(mult(a, b), mult(a, c)) = mult(a, mult(b, mult(a, c))))))),
% 4.10/4.28 inference(unit_resolution,[status(thm)],[143, 139])).
% 4.10/4.28 tff(145,plain,
% 4.10/4.28 (((~(mult(mult(a, mult(a, c)), b) = mult(a, mult(mult(a, c), b)))) | (~(mult(mult(a, b), mult(a, c)) = mult(a, mult(b, mult(a, c)))))) | (mult(mult(a, b), mult(a, c)) = mult(a, mult(b, mult(a, c))))),
% 4.10/4.28 inference(tautology,[status(thm)],[])).
% 4.10/4.28 tff(146,plain,
% 4.10/4.28 (mult(mult(a, b), mult(a, c)) = mult(a, mult(b, mult(a, c)))),
% 4.10/4.28 inference(unit_resolution,[status(thm)],[145, 144])).
% 4.10/4.28 tff(147,plain,
% 4.10/4.28 (mult(a, mult(b, mult(a, c))) = mult(mult(a, b), mult(a, c))),
% 4.10/4.28 inference(symmetry,[status(thm)],[146])).
% 4.10/4.28 tff(148,plain,
% 4.10/4.28 (mult(a, mult(mult(b, a), c)) = mult(a, mult(b, mult(a, c)))),
% 4.10/4.28 inference(monotonicity,[status(thm)],[118])).
% 4.10/4.28 tff(149,plain,
% 4.10/4.28 (mult(a, mult(mult(b, a), c)) = mult(mult(a, b), mult(a, c))),
% 4.10/4.28 inference(transitivity,[status(thm)],[148, 147])).
% 4.10/4.28 tff(150,plain,
% 4.10/4.28 (mult(a, mult(mult(a, c), b)) = mult(a, mult(a, mult(b, c)))),
% 4.10/4.28 inference(monotonicity,[status(thm)],[117])).
% 4.10/4.28 tff(151,plain,
% 4.10/4.28 (mult(a, mult(a, mult(b, c))) = mult(a, mult(mult(a, c), b))),
% 4.10/4.28 inference(symmetry,[status(thm)],[150])).
% 4.10/4.28 tff(152,plain,
% 4.10/4.28 (mult(mult(mult(a, c), b), a) = mult(mult(a, mult(b, c)), a)),
% 4.10/4.28 inference(monotonicity,[status(thm)],[117])).
% 4.10/4.28 tff(153,plain,
% 4.10/4.28 (mult(mult(a, c), mult(b, a)) = mult(mult(mult(a, c), b), a)),
% 4.10/4.28 inference(symmetry,[status(thm)],[93])).
% 4.10/4.28 tff(154,plain,
% 4.10/4.28 (mult(mult(a, c), mult(b, a)) = mult(a, mult(mult(a, c), b))),
% 4.10/4.29 inference(transitivity,[status(thm)],[153, 152, 116, 151])).
% 4.10/4.29 tff(155,plain,
% 4.10/4.29 ((mult(mult(a, c), mult(b, a)) = mult(a, mult(mult(b, a), c))) <=> (mult(a, mult(mult(a, c), b)) = mult(mult(a, b), mult(a, c)))),
% 4.10/4.29 inference(monotonicity,[status(thm)],[154, 149])).
% 4.10/4.29 tff(156,plain,
% 4.10/4.29 ((mult(mult(a, c), mult(b, a)) = mult(a, mult(mult(b, a), c))) <=> (mult(mult(a, b), mult(a, c)) = mult(a, mult(mult(a, c), b)))),
% 4.10/4.29 inference(transitivity,[status(thm)],[155, 136])).
% 4.10/4.29 tff(157,plain,
% 4.10/4.29 ((mult(mult(a, b), mult(a, c)) = mult(a, mult(mult(a, c), b))) <=> (mult(mult(a, c), mult(b, a)) = mult(a, mult(mult(b, a), c)))),
% 4.10/4.29 inference(symmetry,[status(thm)],[156])).
% 4.10/4.29 tff(158,plain,
% 4.10/4.29 ((~(mult(mult(a, b), mult(a, c)) = mult(a, mult(mult(a, c), b)))) <=> (~(mult(mult(a, c), mult(b, a)) = mult(a, mult(mult(b, a), c))))),
% 4.10/4.29 inference(monotonicity,[status(thm)],[157])).
% 4.10/4.29 tff(159,plain,
% 4.10/4.29 (~(mult(mult(a, c), mult(b, a)) = mult(a, mult(mult(b, a), c)))),
% 4.10/4.29 inference(modus_ponens,[status(thm)],[137, 158])).
% 4.10/4.29 tff(160,assumption,(mult(mult(a, c), mult(b, a)) = mult(a, mult(mult(b, a), c))), introduced(assumption)).
% 4.10/4.29 tff(161,plain,
% 4.10/4.29 ($false),
% 4.10/4.29 inference(unit_resolution,[status(thm)],[160, 159])).
% 4.10/4.29 tff(162,plain,((~(mult(mult(mult(a, c), b), a) = mult(mult(a, c), mult(b, a)))) | (~(mult(mult(a, c), mult(b, a)) = mult(a, mult(mult(b, a), c)))) | (mult(mult(a, b), mult(a, c)) = mult(a, mult(mult(a, c), b))) | (~(mult(mult(b, a), c) = mult(b, mult(a, c)))) | (~(mult(mult(a, mult(b, c)), a) = mult(a, mult(a, mult(b, c))))) | (~(mult(mult(a, c), b) = mult(a, mult(b, c))))), inference(lemma,lemma(discharge,[]))).
% 4.10/4.29 tff(163,plain,
% 4.10/4.29 (mult(mult(a, b), mult(a, c)) = mult(a, mult(mult(a, c), b))),
% 4.10/4.29 inference(unit_resolution,[status(thm)],[162, 135, 118, 117, 93, 116])).
% 4.10/4.29 tff(164,plain,
% 4.10/4.29 ((~![B: $i, A: $i] : (rd(mult(A, B), B) = A)) | (rd(mult(mult(a, mult(b, c)), a), a) = mult(a, mult(b, c)))),
% 4.10/4.29 inference(quant_inst,[status(thm)],[])).
% 4.10/4.29 tff(165,plain,
% 4.10/4.29 (rd(mult(mult(a, mult(b, c)), a), a) = mult(a, mult(b, c))),
% 4.10/4.29 inference(unit_resolution,[status(thm)],[164, 72])).
% 4.10/4.29 tff(166,plain,
% 4.10/4.29 (mult(a, mult(a, mult(b, c))) = mult(mult(a, mult(b, c)), a)),
% 4.10/4.29 inference(symmetry,[status(thm)],[116])).
% 4.10/4.29 tff(167,assumption,(mult(mult(a, b), mult(a, c)) = mult(a, mult(mult(a, c), b))), introduced(assumption)).
% 4.10/4.29 tff(168,assumption,(mult(mult(mult(a, b), c), a) = mult(mult(a, b), mult(a, c))), introduced(assumption)).
% 4.10/4.29 tff(169,plain,
% 4.10/4.29 (mult(mult(mult(a, b), c), a) = mult(mult(a, mult(b, c)), a)),
% 4.10/4.29 inference(transitivity,[status(thm)],[168, 167, 150, 166])).
% 4.10/4.29 tff(170,plain,
% 4.10/4.29 (rd(mult(mult(mult(a, b), c), a), a) = rd(mult(mult(a, mult(b, c)), a), a)),
% 4.10/4.29 inference(monotonicity,[status(thm)],[169])).
% 4.10/4.29 tff(171,plain,
% 4.10/4.29 ((~![B: $i, A: $i] : (rd(mult(A, B), B) = A)) | (rd(mult(mult(mult(a, b), c), a), a) = mult(mult(a, b), c))),
% 4.10/4.29 inference(quant_inst,[status(thm)],[])).
% 4.10/4.29 tff(172,plain,
% 4.10/4.29 (rd(mult(mult(mult(a, b), c), a), a) = mult(mult(a, b), c)),
% 4.10/4.29 inference(unit_resolution,[status(thm)],[171, 72])).
% 4.10/4.29 tff(173,plain,
% 4.10/4.29 (mult(mult(a, b), c) = rd(mult(mult(mult(a, b), c), a), a)),
% 4.10/4.29 inference(symmetry,[status(thm)],[172])).
% 4.10/4.29 tff(174,plain,
% 4.10/4.29 (mult(mult(a, b), c) = mult(a, mult(b, c))),
% 4.10/4.29 inference(transitivity,[status(thm)],[173, 170, 165])).
% 4.10/4.29 tff(175,plain,
% 4.10/4.29 ($false),
% 4.10/4.29 inference(unit_resolution,[status(thm)],[115, 174])).
% 4.10/4.29 tff(176,plain,((~(mult(mult(a, b), mult(a, c)) = mult(a, mult(mult(a, c), b)))) | (mult(mult(a, b), c) = mult(a, mult(b, c))) | (~(mult(mult(mult(a, b), c), a) = mult(mult(a, b), mult(a, c)))) | (~(mult(mult(a, mult(b, c)), a) = mult(a, mult(a, mult(b, c))))) | (~(mult(mult(a, c), b) = mult(a, mult(b, c))))), inference(lemma,lemma(discharge,[]))).
% 4.10/4.29 tff(177,plain,
% 4.10/4.29 (~(mult(mult(mult(a, b), c), a) = mult(mult(a, b), mult(a, c)))),
% 4.10/4.29 inference(unit_resolution,[status(thm)],[176, 163, 117, 116, 115])).
% 4.10/4.29 tff(178,plain,
% 4.10/4.29 (((~(mult(mult(mult(a, b), a), c) = mult(mult(a, b), mult(c, a)))) | (~(mult(mult(mult(a, b), c), a) = mult(mult(a, b), mult(a, c))))) | (mult(mult(mult(a, b), c), a) = mult(mult(a, b), mult(a, c)))),
% 4.10/4.29 inference(tautology,[status(thm)],[])).
% 4.10/4.29 tff(179,plain,
% 4.10/4.29 ((~(mult(mult(mult(a, b), a), c) = mult(mult(a, b), mult(c, a)))) | (~(mult(mult(mult(a, b), c), a) = mult(mult(a, b), mult(a, c))))),
% 4.10/4.29 inference(unit_resolution,[status(thm)],[178, 177])).
% 4.10/4.29 tff(180,plain,
% 4.10/4.29 (((~![X0: $i, X1: $i, X2: $i] : ((~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X2, X1)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X1, X2)))))) | (~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X1, X2)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X2, X1)))))))) | ((~((~(mult(mult(mult(a, b), a), c) = mult(mult(a, b), mult(c, a)))) | (~(mult(mult(mult(a, b), c), a) = mult(mult(a, b), mult(a, c)))))) | (~((~(mult(mult(mult(a, b), a), c) = mult(mult(a, b), mult(a, c)))) | (~(mult(mult(mult(a, b), c), a) = mult(mult(a, b), mult(c, a)))))))) <=> ((~![X0: $i, X1: $i, X2: $i] : ((~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X2, X1)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X1, X2)))))) | (~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X1, X2)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X2, X1)))))))) | (~((~(mult(mult(mult(a, b), a), c) = mult(mult(a, b), mult(c, a)))) | (~(mult(mult(mult(a, b), c), a) = mult(mult(a, b), mult(a, c)))))) | (~((~(mult(mult(mult(a, b), a), c) = mult(mult(a, b), mult(a, c)))) | (~(mult(mult(mult(a, b), c), a) = mult(mult(a, b), mult(c, a)))))))),
% 4.10/4.29 inference(rewrite,[status(thm)],[])).
% 4.10/4.29 tff(181,plain,
% 4.10/4.29 ((~![X0: $i, X1: $i, X2: $i] : ((~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X2, X1)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X1, X2)))))) | (~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X1, X2)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X2, X1)))))))) | ((~((~(mult(mult(mult(a, b), a), c) = mult(mult(a, b), mult(c, a)))) | (~(mult(mult(mult(a, b), c), a) = mult(mult(a, b), mult(a, c)))))) | (~((~(mult(mult(mult(a, b), a), c) = mult(mult(a, b), mult(a, c)))) | (~(mult(mult(mult(a, b), c), a) = mult(mult(a, b), mult(c, a)))))))),
% 4.10/4.29 inference(quant_inst,[status(thm)],[])).
% 4.10/4.29 tff(182,plain,
% 4.10/4.29 ((~![X0: $i, X1: $i, X2: $i] : ((~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X2, X1)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X1, X2)))))) | (~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X1, X2)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X2, X1)))))))) | (~((~(mult(mult(mult(a, b), a), c) = mult(mult(a, b), mult(c, a)))) | (~(mult(mult(mult(a, b), c), a) = mult(mult(a, b), mult(a, c)))))) | (~((~(mult(mult(mult(a, b), a), c) = mult(mult(a, b), mult(a, c)))) | (~(mult(mult(mult(a, b), c), a) = mult(mult(a, b), mult(c, a))))))),
% 4.10/4.29 inference(modus_ponens,[status(thm)],[181, 180])).
% 4.10/4.29 tff(183,plain,
% 4.10/4.29 ((~((~(mult(mult(mult(a, b), a), c) = mult(mult(a, b), mult(c, a)))) | (~(mult(mult(mult(a, b), c), a) = mult(mult(a, b), mult(a, c)))))) | (~((~(mult(mult(mult(a, b), a), c) = mult(mult(a, b), mult(a, c)))) | (~(mult(mult(mult(a, b), c), a) = mult(mult(a, b), mult(c, a))))))),
% 4.10/4.29 inference(unit_resolution,[status(thm)],[182, 30])).
% 4.10/4.29 tff(184,plain,
% 4.10/4.29 (~((~(mult(mult(mult(a, b), a), c) = mult(mult(a, b), mult(a, c)))) | (~(mult(mult(mult(a, b), c), a) = mult(mult(a, b), mult(c, a)))))),
% 4.10/4.29 inference(unit_resolution,[status(thm)],[183, 179])).
% 4.10/4.29 tff(185,plain,
% 4.10/4.29 (((~(mult(mult(mult(a, b), a), c) = mult(mult(a, b), mult(a, c)))) | (~(mult(mult(mult(a, b), c), a) = mult(mult(a, b), mult(c, a))))) | (mult(mult(mult(a, b), c), a) = mult(mult(a, b), mult(c, a)))),
% 4.10/4.29 inference(tautology,[status(thm)],[])).
% 4.10/4.29 tff(186,plain,
% 4.10/4.29 (mult(mult(mult(a, b), c), a) = mult(mult(a, b), mult(c, a))),
% 4.10/4.29 inference(unit_resolution,[status(thm)],[185, 184])).
% 4.10/4.29 tff(187,plain,
% 4.10/4.29 (mult(mult(a, b), mult(c, a)) = mult(mult(mult(a, b), c), a)),
% 4.10/4.29 inference(symmetry,[status(thm)],[186])).
% 4.10/4.29 tff(188,plain,
% 4.10/4.29 ((mult(mult(a, b), mult(c, a)) = mult(a, mult(b, mult(c, a)))) <=> (mult(mult(mult(a, b), c), a) = mult(a, mult(b, mult(c, a))))),
% 4.10/4.29 inference(monotonicity,[status(thm)],[187])).
% 4.10/4.29 tff(189,plain,
% 4.10/4.29 ((mult(mult(a, b), mult(c, a)) = mult(a, mult(b, mult(c, a)))) <=> (mult(a, mult(b, mult(c, a))) = mult(mult(mult(a, b), c), a))),
% 4.10/4.29 inference(transitivity,[status(thm)],[188, 15])).
% 4.10/4.29 tff(190,plain,
% 4.10/4.29 ((mult(a, mult(b, mult(c, a))) = mult(mult(mult(a, b), c), a)) <=> (mult(mult(a, b), mult(c, a)) = mult(a, mult(b, mult(c, a))))),
% 4.10/4.29 inference(symmetry,[status(thm)],[189])).
% 4.10/4.29 tff(191,plain,
% 4.10/4.29 ((~(mult(a, mult(b, mult(c, a))) = mult(mult(mult(a, b), c), a))) <=> (~(mult(mult(a, b), mult(c, a)) = mult(a, mult(b, mult(c, a)))))),
% 4.10/4.29 inference(monotonicity,[status(thm)],[190])).
% 4.10/4.29 tff(192,plain,
% 4.10/4.29 ((~(mult(a, mult(b, mult(c, a))) = mult(mult(mult(a, b), c), a))) <=> (~(mult(a, mult(b, mult(c, a))) = mult(mult(mult(a, b), c), a)))),
% 4.10/4.29 inference(rewrite,[status(thm)],[])).
% 4.10/4.29 tff(193,axiom,(~(mult(a, mult(b, mult(c, a))) = mult(mult(mult(a, b), c), a))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','goals')).
% 4.10/4.29 tff(194,plain,
% 4.10/4.29 (~(mult(a, mult(b, mult(c, a))) = mult(mult(mult(a, b), c), a))),
% 4.10/4.29 inference(modus_ponens,[status(thm)],[193, 192])).
% 4.10/4.29 tff(195,plain,
% 4.10/4.29 (~(mult(mult(a, b), mult(c, a)) = mult(a, mult(b, mult(c, a))))),
% 4.10/4.29 inference(modus_ponens,[status(thm)],[194, 191])).
% 4.10/4.29 tff(196,plain,
% 4.10/4.29 (((~(mult(mult(a, b), mult(c, a)) = mult(a, mult(b, mult(c, a))))) | (~(mult(mult(a, mult(c, a)), b) = mult(a, mult(mult(c, a), b))))) | (mult(mult(a, b), mult(c, a)) = mult(a, mult(b, mult(c, a))))),
% 4.10/4.29 inference(tautology,[status(thm)],[])).
% 4.10/4.29 tff(197,plain,
% 4.10/4.29 ((~(mult(mult(a, b), mult(c, a)) = mult(a, mult(b, mult(c, a))))) | (~(mult(mult(a, mult(c, a)), b) = mult(a, mult(mult(c, a), b))))),
% 4.10/4.29 inference(unit_resolution,[status(thm)],[196, 195])).
% 4.10/4.29 tff(198,plain,
% 4.10/4.29 (((~![X0: $i, X1: $i, X2: $i] : ((~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X2, X1)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X1, X2)))))) | (~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X1, X2)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X2, X1)))))))) | ((~((~(mult(mult(a, b), mult(c, a)) = mult(a, mult(mult(c, a), b)))) | (~(mult(mult(a, mult(c, a)), b) = mult(a, mult(b, mult(c, a))))))) | (~((~(mult(mult(a, b), mult(c, a)) = mult(a, mult(b, mult(c, a))))) | (~(mult(mult(a, mult(c, a)), b) = mult(a, mult(mult(c, a), b)))))))) <=> ((~![X0: $i, X1: $i, X2: $i] : ((~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X2, X1)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X1, X2)))))) | (~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X1, X2)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X2, X1)))))))) | (~((~(mult(mult(a, b), mult(c, a)) = mult(a, mult(mult(c, a), b)))) | (~(mult(mult(a, mult(c, a)), b) = mult(a, mult(b, mult(c, a))))))) | (~((~(mult(mult(a, b), mult(c, a)) = mult(a, mult(b, mult(c, a))))) | (~(mult(mult(a, mult(c, a)), b) = mult(a, mult(mult(c, a), b)))))))),
% 4.10/4.29 inference(rewrite,[status(thm)],[])).
% 4.10/4.29 tff(199,plain,
% 4.10/4.29 ((~![X0: $i, X1: $i, X2: $i] : ((~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X2, X1)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X1, X2)))))) | (~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X1, X2)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X2, X1)))))))) | ((~((~(mult(mult(a, b), mult(c, a)) = mult(a, mult(mult(c, a), b)))) | (~(mult(mult(a, mult(c, a)), b) = mult(a, mult(b, mult(c, a))))))) | (~((~(mult(mult(a, b), mult(c, a)) = mult(a, mult(b, mult(c, a))))) | (~(mult(mult(a, mult(c, a)), b) = mult(a, mult(mult(c, a), b)))))))),
% 4.10/4.29 inference(quant_inst,[status(thm)],[])).
% 4.10/4.29 tff(200,plain,
% 4.10/4.29 ((~![X0: $i, X1: $i, X2: $i] : ((~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X2, X1)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X1, X2)))))) | (~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X1, X2)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X2, X1)))))))) | (~((~(mult(mult(a, b), mult(c, a)) = mult(a, mult(mult(c, a), b)))) | (~(mult(mult(a, mult(c, a)), b) = mult(a, mult(b, mult(c, a))))))) | (~((~(mult(mult(a, b), mult(c, a)) = mult(a, mult(b, mult(c, a))))) | (~(mult(mult(a, mult(c, a)), b) = mult(a, mult(mult(c, a), b))))))),
% 4.10/4.29 inference(modus_ponens,[status(thm)],[199, 198])).
% 4.10/4.29 tff(201,plain,
% 4.10/4.29 ((~((~(mult(mult(a, b), mult(c, a)) = mult(a, mult(mult(c, a), b)))) | (~(mult(mult(a, mult(c, a)), b) = mult(a, mult(b, mult(c, a))))))) | (~((~(mult(mult(a, b), mult(c, a)) = mult(a, mult(b, mult(c, a))))) | (~(mult(mult(a, mult(c, a)), b) = mult(a, mult(mult(c, a), b))))))),
% 4.10/4.29 inference(unit_resolution,[status(thm)],[200, 30])).
% 4.10/4.29 tff(202,plain,
% 4.10/4.29 (~((~(mult(mult(a, b), mult(c, a)) = mult(a, mult(mult(c, a), b)))) | (~(mult(mult(a, mult(c, a)), b) = mult(a, mult(b, mult(c, a))))))),
% 4.10/4.29 inference(unit_resolution,[status(thm)],[201, 197])).
% 4.10/4.29 tff(203,plain,
% 4.10/4.29 (((~(mult(mult(a, b), mult(c, a)) = mult(a, mult(mult(c, a), b)))) | (~(mult(mult(a, mult(c, a)), b) = mult(a, mult(b, mult(c, a)))))) | (mult(mult(a, b), mult(c, a)) = mult(a, mult(mult(c, a), b)))),
% 4.10/4.29 inference(tautology,[status(thm)],[])).
% 4.10/4.29 tff(204,plain,
% 4.10/4.29 (mult(mult(a, b), mult(c, a)) = mult(a, mult(mult(c, a), b))),
% 4.10/4.29 inference(unit_resolution,[status(thm)],[203, 202])).
% 4.10/4.29 tff(205,plain,
% 4.10/4.29 (mult(a, mult(mult(c, a), b)) = mult(mult(a, b), mult(c, a))),
% 4.10/4.29 inference(symmetry,[status(thm)],[204])).
% 4.10/4.29 tff(206,plain,
% 4.10/4.29 (mult(a, mult(mult(c, a), b)) = mult(a, mult(mult(a, b), c))),
% 4.10/4.29 inference(transitivity,[status(thm)],[205, 187, 107, 89, 111])).
% 4.10/4.29 tff(207,plain,
% 4.10/4.29 (ld(a, mult(a, mult(mult(c, a), b))) = ld(a, mult(a, mult(mult(a, b), c)))),
% 4.10/4.29 inference(monotonicity,[status(thm)],[206])).
% 4.10/4.29 tff(208,plain,
% 4.10/4.29 ((~![B: $i, A: $i] : (ld(A, mult(A, B)) = B)) | (ld(a, mult(a, mult(mult(c, a), b))) = mult(mult(c, a), b))),
% 4.10/4.29 inference(quant_inst,[status(thm)],[])).
% 4.10/4.29 tff(209,plain,
% 4.10/4.29 (ld(a, mult(a, mult(mult(c, a), b))) = mult(mult(c, a), b)),
% 4.10/4.29 inference(unit_resolution,[status(thm)],[208, 9])).
% 4.10/4.29 tff(210,plain,
% 4.10/4.29 (mult(mult(c, a), b) = ld(a, mult(a, mult(mult(c, a), b)))),
% 4.10/4.29 inference(symmetry,[status(thm)],[209])).
% 4.10/4.29 tff(211,plain,
% 4.10/4.29 (((~(mult(mult(mult(a, b), a), c) = mult(mult(a, b), mult(a, c)))) | (~(mult(mult(mult(a, b), c), a) = mult(mult(a, b), mult(c, a))))) | (mult(mult(mult(a, b), a), c) = mult(mult(a, b), mult(a, c)))),
% 4.10/4.29 inference(tautology,[status(thm)],[])).
% 4.10/4.29 tff(212,plain,
% 4.10/4.29 (mult(mult(mult(a, b), a), c) = mult(mult(a, b), mult(a, c))),
% 4.10/4.29 inference(unit_resolution,[status(thm)],[211, 184])).
% 4.10/4.29 tff(213,plain,
% 4.10/4.29 ((mult(a, mult(c, mult(b, a))) = mult(mult(a, c), mult(b, a))) <=> (mult(mult(a, c), mult(b, a)) = mult(a, mult(c, mult(b, a))))),
% 4.10/4.29 inference(commutativity,[status(thm)],[])).
% 4.10/4.29 tff(214,plain,
% 4.10/4.29 (mult(a, mult(b, c)) = mult(mult(a, c), b)),
% 4.10/4.29 inference(symmetry,[status(thm)],[117])).
% 4.10/4.29 tff(215,plain,
% 4.10/4.29 (mult(mult(a, mult(b, c)), a) = mult(mult(mult(a, c), b), a)),
% 4.10/4.29 inference(monotonicity,[status(thm)],[214])).
% 4.10/4.29 tff(216,plain,
% 4.10/4.29 (mult(a, mult(mult(a, c), b)) = mult(mult(a, c), mult(b, a))),
% 4.10/4.29 inference(transitivity,[status(thm)],[150, 166, 215, 93])).
% 4.10/4.29 tff(217,plain,
% 4.10/4.29 (((~(mult(mult(a, c), mult(b, a)) = mult(a, mult(mult(b, a), c)))) | (~(mult(mult(a, mult(b, a)), c) = mult(a, mult(c, mult(b, a)))))) | (mult(mult(a, mult(b, a)), c) = mult(a, mult(c, mult(b, a))))),
% 4.10/4.29 inference(tautology,[status(thm)],[])).
% 4.10/4.29 tff(218,plain,
% 4.10/4.29 (mult(mult(a, mult(b, a)), c) = mult(a, mult(c, mult(b, a)))),
% 4.10/4.29 inference(unit_resolution,[status(thm)],[217, 133])).
% 4.10/4.29 tff(219,assumption,(mult(mult(a, b), a) = mult(a, mult(b, a))), introduced(assumption)).
% 4.10/4.29 tff(220,plain,
% 4.10/4.29 (mult(mult(mult(a, b), a), c) = mult(mult(a, mult(b, a)), c)),
% 4.10/4.29 inference(monotonicity,[status(thm)],[219])).
% 4.10/4.29 tff(221,assumption,(mult(mult(mult(a, b), a), c) = mult(mult(a, b), mult(a, c))), introduced(assumption)).
% 4.10/4.29 tff(222,plain,
% 4.10/4.29 (mult(mult(a, b), mult(a, c)) = mult(mult(mult(a, b), a), c)),
% 4.10/4.29 inference(symmetry,[status(thm)],[221])).
% 4.10/4.29 tff(223,plain,
% 4.10/4.29 (mult(mult(a, b), mult(a, c)) = mult(a, mult(c, mult(b, a)))),
% 4.10/4.29 inference(transitivity,[status(thm)],[222, 220, 218])).
% 4.10/4.29 tff(224,plain,
% 4.10/4.29 ((mult(mult(a, b), mult(a, c)) = mult(a, mult(mult(a, c), b))) <=> (mult(a, mult(c, mult(b, a))) = mult(mult(a, c), mult(b, a)))),
% 4.10/4.29 inference(monotonicity,[status(thm)],[223, 216])).
% 4.10/4.29 tff(225,plain,
% 4.10/4.29 ((mult(mult(a, b), mult(a, c)) = mult(a, mult(mult(a, c), b))) <=> (mult(mult(a, c), mult(b, a)) = mult(a, mult(c, mult(b, a))))),
% 4.10/4.29 inference(transitivity,[status(thm)],[224, 213])).
% 4.10/4.29 tff(226,plain,
% 4.10/4.29 ((mult(mult(a, c), mult(b, a)) = mult(a, mult(c, mult(b, a)))) <=> (mult(mult(a, b), mult(a, c)) = mult(a, mult(mult(a, c), b)))),
% 4.10/4.29 inference(symmetry,[status(thm)],[225])).
% 4.10/4.29 tff(227,plain,
% 4.10/4.29 ((~(mult(mult(a, c), mult(b, a)) = mult(a, mult(c, mult(b, a))))) <=> (~(mult(mult(a, b), mult(a, c)) = mult(a, mult(mult(a, c), b))))),
% 4.10/4.29 inference(monotonicity,[status(thm)],[226])).
% 4.10/4.29 tff(228,plain,
% 4.10/4.29 (~(mult(mult(a, b), mult(a, c)) = mult(a, mult(mult(a, c), b)))),
% 4.10/4.29 inference(modus_ponens,[status(thm)],[119, 227])).
% 4.10/4.29 tff(229,plain,
% 4.10/4.29 ($false),
% 4.10/4.29 inference(unit_resolution,[status(thm)],[167, 228])).
% 4.10/4.29 tff(230,plain,((~(mult(mult(a, b), a) = mult(a, mult(b, a)))) | (~(mult(mult(a, b), mult(a, c)) = mult(a, mult(mult(a, c), b)))) | (mult(mult(a, c), mult(b, a)) = mult(a, mult(c, mult(b, a)))) | (~(mult(mult(a, mult(b, c)), a) = mult(a, mult(a, mult(b, c))))) | (~(mult(mult(mult(a, c), b), a) = mult(mult(a, c), mult(b, a)))) | (~(mult(mult(a, c), b) = mult(a, mult(b, c)))) | (~(mult(mult(mult(a, b), a), c) = mult(mult(a, b), mult(a, c))))), inference(lemma,lemma(discharge,[]))).
% 4.10/4.29 tff(231,plain,
% 4.10/4.29 (~(mult(mult(a, b), a) = mult(a, mult(b, a)))),
% 4.10/4.29 inference(unit_resolution,[status(thm)],[230, 163, 119, 116, 93, 117, 212])).
% 4.10/4.29 tff(232,plain,
% 4.10/4.29 (((~(mult(mult(a, a), b) = mult(a, mult(a, b)))) | (~(mult(mult(a, b), a) = mult(a, mult(b, a))))) | (mult(mult(a, b), a) = mult(a, mult(b, a)))),
% 4.10/4.29 inference(tautology,[status(thm)],[])).
% 4.10/4.29 tff(233,plain,
% 4.10/4.29 ((~(mult(mult(a, a), b) = mult(a, mult(a, b)))) | (~(mult(mult(a, b), a) = mult(a, mult(b, a))))),
% 4.10/4.29 inference(unit_resolution,[status(thm)],[232, 231])).
% 4.10/4.29 tff(234,plain,
% 4.10/4.29 (((~![X0: $i, X1: $i, X2: $i] : ((~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X2, X1)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X1, X2)))))) | (~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X1, X2)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X2, X1)))))))) | ((~((~(mult(mult(a, a), b) = mult(a, mult(b, a)))) | (~(mult(mult(a, b), a) = mult(a, mult(a, b)))))) | (~((~(mult(mult(a, a), b) = mult(a, mult(a, b)))) | (~(mult(mult(a, b), a) = mult(a, mult(b, a)))))))) <=> ((~![X0: $i, X1: $i, X2: $i] : ((~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X2, X1)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X1, X2)))))) | (~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X1, X2)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X2, X1)))))))) | (~((~(mult(mult(a, a), b) = mult(a, mult(b, a)))) | (~(mult(mult(a, b), a) = mult(a, mult(a, b)))))) | (~((~(mult(mult(a, a), b) = mult(a, mult(a, b)))) | (~(mult(mult(a, b), a) = mult(a, mult(b, a)))))))),
% 4.10/4.29 inference(rewrite,[status(thm)],[])).
% 4.10/4.29 tff(235,plain,
% 4.10/4.29 (((~((~(mult(mult(a, a), b) = mult(a, mult(b, a)))) | (~(mult(mult(a, b), a) = mult(a, mult(a, b)))))) | (~((~(mult(mult(a, a), b) = mult(a, mult(a, b)))) | (~(mult(mult(a, b), a) = mult(a, mult(b, a))))))) <=> ((~((~(mult(mult(a, a), b) = mult(a, mult(b, a)))) | (~(mult(mult(a, b), a) = mult(a, mult(a, b)))))) | (~((~(mult(mult(a, a), b) = mult(a, mult(a, b)))) | (~(mult(mult(a, b), a) = mult(a, mult(b, a)))))))),
% 4.10/4.29 inference(rewrite,[status(thm)],[])).
% 4.10/4.29 tff(236,plain,
% 4.10/4.29 ((~((~(mult(mult(a, b), a) = mult(a, mult(b, a)))) | (~(mult(mult(a, a), b) = mult(a, mult(a, b)))))) <=> (~((~(mult(mult(a, a), b) = mult(a, mult(a, b)))) | (~(mult(mult(a, b), a) = mult(a, mult(b, a))))))),
% 4.10/4.29 inference(rewrite,[status(thm)],[])).
% 4.10/4.29 tff(237,plain,
% 4.10/4.29 ((~((~(mult(mult(a, b), a) = mult(a, mult(a, b)))) | (~(mult(mult(a, a), b) = mult(a, mult(b, a)))))) <=> (~((~(mult(mult(a, a), b) = mult(a, mult(b, a)))) | (~(mult(mult(a, b), a) = mult(a, mult(a, b))))))),
% 4.10/4.29 inference(rewrite,[status(thm)],[])).
% 4.10/4.29 tff(238,plain,
% 4.10/4.29 (((~((~(mult(mult(a, b), a) = mult(a, mult(a, b)))) | (~(mult(mult(a, a), b) = mult(a, mult(b, a)))))) | (~((~(mult(mult(a, b), a) = mult(a, mult(b, a)))) | (~(mult(mult(a, a), b) = mult(a, mult(a, b))))))) <=> ((~((~(mult(mult(a, a), b) = mult(a, mult(b, a)))) | (~(mult(mult(a, b), a) = mult(a, mult(a, b)))))) | (~((~(mult(mult(a, a), b) = mult(a, mult(a, b)))) | (~(mult(mult(a, b), a) = mult(a, mult(b, a)))))))),
% 4.10/4.30 inference(monotonicity,[status(thm)],[237, 236])).
% 4.10/4.30 tff(239,plain,
% 4.10/4.30 (((~((~(mult(mult(a, b), a) = mult(a, mult(a, b)))) | (~(mult(mult(a, a), b) = mult(a, mult(b, a)))))) | (~((~(mult(mult(a, b), a) = mult(a, mult(b, a)))) | (~(mult(mult(a, a), b) = mult(a, mult(a, b))))))) <=> ((~((~(mult(mult(a, a), b) = mult(a, mult(b, a)))) | (~(mult(mult(a, b), a) = mult(a, mult(a, b)))))) | (~((~(mult(mult(a, a), b) = mult(a, mult(a, b)))) | (~(mult(mult(a, b), a) = mult(a, mult(b, a)))))))),
% 4.10/4.30 inference(transitivity,[status(thm)],[238, 235])).
% 4.10/4.30 tff(240,plain,
% 4.10/4.30 (((~![X0: $i, X1: $i, X2: $i] : ((~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X2, X1)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X1, X2)))))) | (~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X1, X2)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X2, X1)))))))) | ((~((~(mult(mult(a, b), a) = mult(a, mult(a, b)))) | (~(mult(mult(a, a), b) = mult(a, mult(b, a)))))) | (~((~(mult(mult(a, b), a) = mult(a, mult(b, a)))) | (~(mult(mult(a, a), b) = mult(a, mult(a, b)))))))) <=> ((~![X0: $i, X1: $i, X2: $i] : ((~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X2, X1)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X1, X2)))))) | (~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X1, X2)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X2, X1)))))))) | ((~((~(mult(mult(a, a), b) = mult(a, mult(b, a)))) | (~(mult(mult(a, b), a) = mult(a, mult(a, b)))))) | (~((~(mult(mult(a, a), b) = mult(a, mult(a, b)))) | (~(mult(mult(a, b), a) = mult(a, mult(b, a))))))))),
% 4.10/4.30 inference(monotonicity,[status(thm)],[239])).
% 4.10/4.30 tff(241,plain,
% 4.10/4.30 (((~![X0: $i, X1: $i, X2: $i] : ((~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X2, X1)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X1, X2)))))) | (~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X1, X2)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X2, X1)))))))) | ((~((~(mult(mult(a, b), a) = mult(a, mult(a, b)))) | (~(mult(mult(a, a), b) = mult(a, mult(b, a)))))) | (~((~(mult(mult(a, b), a) = mult(a, mult(b, a)))) | (~(mult(mult(a, a), b) = mult(a, mult(a, b)))))))) <=> ((~![X0: $i, X1: $i, X2: $i] : ((~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X2, X1)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X1, X2)))))) | (~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X1, X2)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X2, X1)))))))) | (~((~(mult(mult(a, a), b) = mult(a, mult(b, a)))) | (~(mult(mult(a, b), a) = mult(a, mult(a, b)))))) | (~((~(mult(mult(a, a), b) = mult(a, mult(a, b)))) | (~(mult(mult(a, b), a) = mult(a, mult(b, a)))))))),
% 4.10/4.30 inference(transitivity,[status(thm)],[240, 234])).
% 4.10/4.30 tff(242,plain,
% 4.10/4.30 ((~![X0: $i, X1: $i, X2: $i] : ((~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X2, X1)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X1, X2)))))) | (~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X1, X2)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X2, X1)))))))) | ((~((~(mult(mult(a, b), a) = mult(a, mult(a, b)))) | (~(mult(mult(a, a), b) = mult(a, mult(b, a)))))) | (~((~(mult(mult(a, b), a) = mult(a, mult(b, a)))) | (~(mult(mult(a, a), b) = mult(a, mult(a, b)))))))),
% 4.10/4.30 inference(quant_inst,[status(thm)],[])).
% 4.10/4.30 tff(243,plain,
% 4.10/4.30 ((~![X0: $i, X1: $i, X2: $i] : ((~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X2, X1)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X1, X2)))))) | (~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X1, X2)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X2, X1)))))))) | (~((~(mult(mult(a, a), b) = mult(a, mult(b, a)))) | (~(mult(mult(a, b), a) = mult(a, mult(a, b)))))) | (~((~(mult(mult(a, a), b) = mult(a, mult(a, b)))) | (~(mult(mult(a, b), a) = mult(a, mult(b, a))))))),
% 4.10/4.30 inference(modus_ponens,[status(thm)],[242, 241])).
% 4.10/4.30 tff(244,plain,
% 4.10/4.30 ((~((~(mult(mult(a, a), b) = mult(a, mult(b, a)))) | (~(mult(mult(a, b), a) = mult(a, mult(a, b)))))) | (~((~(mult(mult(a, a), b) = mult(a, mult(a, b)))) | (~(mult(mult(a, b), a) = mult(a, mult(b, a))))))),
% 4.10/4.30 inference(unit_resolution,[status(thm)],[243, 30])).
% 4.10/4.30 tff(245,plain,
% 4.10/4.30 (~((~(mult(mult(a, a), b) = mult(a, mult(b, a)))) | (~(mult(mult(a, b), a) = mult(a, mult(a, b)))))),
% 4.10/4.30 inference(unit_resolution,[status(thm)],[244, 233])).
% 4.10/4.30 tff(246,plain,
% 4.10/4.30 (((~(mult(mult(a, a), b) = mult(a, mult(b, a)))) | (~(mult(mult(a, b), a) = mult(a, mult(a, b))))) | (mult(mult(a, b), a) = mult(a, mult(a, b)))),
% 4.10/4.30 inference(tautology,[status(thm)],[])).
% 4.10/4.30 tff(247,plain,
% 4.10/4.30 (mult(mult(a, b), a) = mult(a, mult(a, b))),
% 4.10/4.30 inference(unit_resolution,[status(thm)],[246, 245])).
% 4.10/4.30 tff(248,assumption,(~(mult(mult(mult(a, b), c), a) = mult(mult(a, b), mult(a, c)))), introduced(assumption)).
% 4.10/4.30 tff(249,assumption,(mult(mult(a, mult(c, b)), a) = mult(a, mult(a, mult(c, b)))), introduced(assumption)).
% 4.10/4.30 tff(250,assumption,(mult(mult(a, b), a) = mult(a, mult(a, b))), introduced(assumption)).
% 4.10/4.30 tff(251,plain,
% 4.10/4.30 ((~(mult(mult(mult(a, b), a), c) = mult(mult(a, b), mult(c, a)))) | (~(mult(mult(mult(a, b), c), a) = mult(mult(a, b), mult(a, c))))),
% 4.10/4.30 inference(unit_resolution,[status(thm)],[178, 248])).
% 4.10/4.30 tff(252,plain,
% 4.10/4.30 (~((~(mult(mult(mult(a, b), a), c) = mult(mult(a, b), mult(a, c)))) | (~(mult(mult(mult(a, b), c), a) = mult(mult(a, b), mult(c, a)))))),
% 4.10/4.30 inference(unit_resolution,[status(thm)],[183, 251])).
% 4.10/4.30 tff(253,plain,
% 4.10/4.30 (mult(mult(mult(a, b), a), c) = mult(mult(a, b), mult(a, c))),
% 4.10/4.30 inference(unit_resolution,[status(thm)],[211, 252])).
% 4.10/4.30 tff(254,plain,
% 4.10/4.30 (mult(mult(mult(a, b), a), c) = mult(mult(a, mult(a, b)), c)),
% 4.10/4.30 inference(monotonicity,[status(thm)],[250])).
% 4.10/4.30 tff(255,plain,
% 4.10/4.30 (mult(mult(a, mult(a, b)), c) = mult(mult(mult(a, b), a), c)),
% 4.10/4.30 inference(symmetry,[status(thm)],[254])).
% 4.10/4.30 tff(256,assumption,(mult(mult(a, mult(a, b)), c) = mult(a, mult(mult(a, b), c))), introduced(assumption)).
% 4.10/4.30 tff(257,plain,
% 4.10/4.30 (mult(a, mult(mult(a, b), c)) = mult(mult(a, mult(a, b)), c)),
% 4.10/4.30 inference(symmetry,[status(thm)],[256])).
% 4.10/4.30 tff(258,plain,
% 4.10/4.30 (mult(a, mult(mult(a, b), c)) = mult(a, mult(a, mult(c, b)))),
% 4.10/4.30 inference(monotonicity,[status(thm)],[106])).
% 4.10/4.30 tff(259,plain,
% 4.10/4.30 (mult(a, mult(a, mult(c, b))) = mult(a, mult(mult(a, b), c))),
% 4.10/4.30 inference(symmetry,[status(thm)],[258])).
% 4.10/4.30 tff(260,plain,
% 4.10/4.30 (mult(mult(a, mult(c, b)), a) = mult(mult(mult(a, b), c), a)),
% 4.10/4.30 inference(monotonicity,[status(thm)],[110])).
% 4.10/4.30 tff(261,plain,
% 4.10/4.30 (mult(mult(mult(a, b), c), a) = mult(mult(a, mult(c, b)), a)),
% 4.10/4.30 inference(symmetry,[status(thm)],[260])).
% 4.10/4.30 tff(262,plain,
% 4.10/4.30 (mult(mult(mult(a, b), c), a) = mult(mult(a, b), mult(a, c))),
% 4.10/4.30 inference(transitivity,[status(thm)],[261, 249, 259, 257, 255, 253])).
% 4.10/4.30 tff(263,plain,
% 4.10/4.30 ($false),
% 4.10/4.30 inference(unit_resolution,[status(thm)],[248, 262])).
% 4.10/4.30 tff(264,plain,((~(mult(mult(a, b), a) = mult(a, mult(a, b)))) | (mult(mult(mult(a, b), c), a) = mult(mult(a, b), mult(a, c))) | (~(mult(mult(a, mult(a, b)), c) = mult(a, mult(mult(a, b), c)))) | (~(mult(mult(a, mult(c, b)), a) = mult(a, mult(a, mult(c, b))))) | (~(mult(mult(a, b), c) = mult(a, mult(c, b))))), inference(lemma,lemma(discharge,[]))).
% 4.10/4.30 tff(265,plain,
% 4.10/4.30 (~(mult(mult(a, mult(a, b)), c) = mult(a, mult(mult(a, b), c)))),
% 4.10/4.30 inference(unit_resolution,[status(thm)],[264, 250, 106, 249, 248])).
% 4.10/4.30 tff(266,plain,
% 4.10/4.30 (((~(mult(mult(a, mult(a, b)), c) = mult(a, mult(mult(a, b), c)))) | (~(mult(mult(a, c), mult(a, b)) = mult(a, mult(c, mult(a, b)))))) | (mult(mult(a, mult(a, b)), c) = mult(a, mult(mult(a, b), c)))),
% 4.10/4.30 inference(tautology,[status(thm)],[])).
% 4.10/4.30 tff(267,plain,
% 4.10/4.30 ((~(mult(mult(a, mult(a, b)), c) = mult(a, mult(mult(a, b), c)))) | (~(mult(mult(a, c), mult(a, b)) = mult(a, mult(c, mult(a, b)))))),
% 4.10/4.30 inference(unit_resolution,[status(thm)],[266, 265])).
% 4.10/4.30 tff(268,assumption,(mult(mult(c, a), b) = mult(c, mult(a, b))), introduced(assumption)).
% 4.10/4.30 tff(269,assumption,(mult(mult(a, mult(a, b)), c) = mult(a, mult(c, mult(a, b)))), introduced(assumption)).
% 4.10/4.30 tff(270,plain,
% 4.10/4.30 (mult(a, mult(c, mult(a, b))) = mult(mult(a, mult(a, b)), c)),
% 4.10/4.30 inference(symmetry,[status(thm)],[269])).
% 4.10/4.30 tff(271,plain,
% 4.10/4.30 (mult(c, mult(a, b)) = mult(mult(c, a), b)),
% 4.10/4.30 inference(symmetry,[status(thm)],[268])).
% 4.10/4.30 tff(272,plain,
% 4.10/4.30 (mult(a, mult(c, mult(a, b))) = mult(a, mult(mult(c, a), b))),
% 4.10/4.30 inference(monotonicity,[status(thm)],[271])).
% 4.10/4.30 tff(273,plain,
% 4.10/4.30 (mult(a, mult(mult(c, a), b)) = mult(a, mult(c, mult(a, b)))),
% 4.10/4.30 inference(symmetry,[status(thm)],[272])).
% 4.10/4.30 tff(274,plain,
% 4.10/4.30 ((mult(a, mult(b, mult(c, a))) = mult(mult(a, b), mult(c, a))) <=> (mult(mult(a, b), mult(c, a)) = mult(a, mult(b, mult(c, a))))),
% 4.10/4.30 inference(commutativity,[status(thm)],[])).
% 4.10/4.30 tff(275,plain,
% 4.10/4.30 (mult(mult(mult(a, b), c), a) = mult(mult(a, b), mult(c, a))),
% 4.10/4.30 inference(unit_resolution,[status(thm)],[185, 252])).
% 4.10/4.30 tff(276,plain,
% 4.10/4.30 ((mult(a, mult(b, mult(c, a))) = mult(mult(mult(a, b), c), a)) <=> (mult(a, mult(b, mult(c, a))) = mult(mult(a, b), mult(c, a)))),
% 4.10/4.30 inference(monotonicity,[status(thm)],[275])).
% 4.10/4.30 tff(277,plain,
% 4.10/4.30 ((mult(a, mult(b, mult(c, a))) = mult(mult(mult(a, b), c), a)) <=> (mult(mult(a, b), mult(c, a)) = mult(a, mult(b, mult(c, a))))),
% 4.10/4.30 inference(transitivity,[status(thm)],[276, 274])).
% 4.10/4.30 tff(278,plain,
% 4.10/4.30 ((~(mult(a, mult(b, mult(c, a))) = mult(mult(mult(a, b), c), a))) <=> (~(mult(mult(a, b), mult(c, a)) = mult(a, mult(b, mult(c, a)))))),
% 4.10/4.30 inference(monotonicity,[status(thm)],[277])).
% 4.10/4.30 tff(279,plain,
% 4.10/4.30 (~(mult(mult(a, b), mult(c, a)) = mult(a, mult(b, mult(c, a))))),
% 4.10/4.30 inference(modus_ponens,[status(thm)],[194, 278])).
% 4.10/4.30 tff(280,plain,
% 4.10/4.30 ((~(mult(mult(a, b), mult(c, a)) = mult(a, mult(b, mult(c, a))))) | (~(mult(mult(a, mult(c, a)), b) = mult(a, mult(mult(c, a), b))))),
% 4.10/4.30 inference(unit_resolution,[status(thm)],[196, 279])).
% 4.10/4.30 tff(281,plain,
% 4.10/4.30 (~((~(mult(mult(a, b), mult(c, a)) = mult(a, mult(mult(c, a), b)))) | (~(mult(mult(a, mult(c, a)), b) = mult(a, mult(b, mult(c, a))))))),
% 4.10/4.30 inference(unit_resolution,[status(thm)],[201, 280])).
% 4.10/4.30 tff(282,plain,
% 4.10/4.30 (mult(mult(a, b), mult(c, a)) = mult(a, mult(mult(c, a), b))),
% 4.10/4.30 inference(unit_resolution,[status(thm)],[203, 281])).
% 4.10/4.30 tff(283,plain,
% 4.10/4.30 (mult(mult(mult(a, b), c), a) = mult(mult(a, b), mult(a, c))),
% 4.10/4.30 inference(transitivity,[status(thm)],[275, 282, 273, 270, 255, 253])).
% 4.10/4.30 tff(284,plain,
% 4.10/4.30 ($false),
% 4.10/4.30 inference(unit_resolution,[status(thm)],[248, 283])).
% 4.10/4.30 tff(285,plain,((~(mult(mult(c, a), b) = mult(c, mult(a, b)))) | (mult(mult(mult(a, b), c), a) = mult(mult(a, b), mult(a, c))) | (~(mult(mult(a, mult(a, b)), c) = mult(a, mult(c, mult(a, b))))) | (~(mult(mult(a, b), a) = mult(a, mult(a, b))))), inference(lemma,lemma(discharge,[]))).
% 4.10/4.30 tff(286,plain,
% 4.10/4.30 (~(mult(mult(a, mult(a, b)), c) = mult(a, mult(c, mult(a, b))))),
% 4.10/4.30 inference(unit_resolution,[status(thm)],[285, 250, 248, 268])).
% 4.10/4.30 tff(287,plain,
% 4.10/4.30 (((~(mult(mult(a, mult(a, b)), c) = mult(a, mult(c, mult(a, b))))) | (~(mult(mult(a, c), mult(a, b)) = mult(a, mult(mult(a, b), c))))) | (mult(mult(a, mult(a, b)), c) = mult(a, mult(c, mult(a, b))))),
% 4.10/4.30 inference(tautology,[status(thm)],[])).
% 4.10/4.30 tff(288,plain,
% 4.10/4.30 ((~(mult(mult(a, mult(a, b)), c) = mult(a, mult(c, mult(a, b))))) | (~(mult(mult(a, c), mult(a, b)) = mult(a, mult(mult(a, b), c))))),
% 4.10/4.30 inference(unit_resolution,[status(thm)],[287, 286])).
% 4.10/4.30 tff(289,plain,
% 4.10/4.30 (((~![X0: $i, X1: $i, X2: $i] : ((~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X2, X1)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X1, X2)))))) | (~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X1, X2)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X2, X1)))))))) | ((~((~(mult(mult(a, mult(a, b)), c) = mult(a, mult(c, mult(a, b))))) | (~(mult(mult(a, c), mult(a, b)) = mult(a, mult(mult(a, b), c)))))) | (~((~(mult(mult(a, mult(a, b)), c) = mult(a, mult(mult(a, b), c)))) | (~(mult(mult(a, c), mult(a, b)) = mult(a, mult(c, mult(a, b))))))))) <=> ((~![X0: $i, X1: $i, X2: $i] : ((~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X2, X1)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X1, X2)))))) | (~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X1, X2)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X2, X1)))))))) | (~((~(mult(mult(a, mult(a, b)), c) = mult(a, mult(c, mult(a, b))))) | (~(mult(mult(a, c), mult(a, b)) = mult(a, mult(mult(a, b), c)))))) | (~((~(mult(mult(a, mult(a, b)), c) = mult(a, mult(mult(a, b), c)))) | (~(mult(mult(a, c), mult(a, b)) = mult(a, mult(c, mult(a, b))))))))),
% 4.10/4.30 inference(rewrite,[status(thm)],[])).
% 4.10/4.30 tff(290,plain,
% 4.10/4.30 ((~![X0: $i, X1: $i, X2: $i] : ((~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X2, X1)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X1, X2)))))) | (~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X1, X2)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X2, X1)))))))) | ((~((~(mult(mult(a, mult(a, b)), c) = mult(a, mult(c, mult(a, b))))) | (~(mult(mult(a, c), mult(a, b)) = mult(a, mult(mult(a, b), c)))))) | (~((~(mult(mult(a, mult(a, b)), c) = mult(a, mult(mult(a, b), c)))) | (~(mult(mult(a, c), mult(a, b)) = mult(a, mult(c, mult(a, b))))))))),
% 4.10/4.30 inference(quant_inst,[status(thm)],[])).
% 4.10/4.30 tff(291,plain,
% 4.10/4.30 ((~![X0: $i, X1: $i, X2: $i] : ((~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X2, X1)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X1, X2)))))) | (~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X1, X2)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X2, X1)))))))) | (~((~(mult(mult(a, mult(a, b)), c) = mult(a, mult(c, mult(a, b))))) | (~(mult(mult(a, c), mult(a, b)) = mult(a, mult(mult(a, b), c)))))) | (~((~(mult(mult(a, mult(a, b)), c) = mult(a, mult(mult(a, b), c)))) | (~(mult(mult(a, c), mult(a, b)) = mult(a, mult(c, mult(a, b)))))))),
% 4.10/4.30 inference(modus_ponens,[status(thm)],[290, 289])).
% 4.10/4.30 tff(292,plain,
% 4.10/4.30 ((~((~(mult(mult(a, mult(a, b)), c) = mult(a, mult(c, mult(a, b))))) | (~(mult(mult(a, c), mult(a, b)) = mult(a, mult(mult(a, b), c)))))) | (~((~(mult(mult(a, mult(a, b)), c) = mult(a, mult(mult(a, b), c)))) | (~(mult(mult(a, c), mult(a, b)) = mult(a, mult(c, mult(a, b)))))))),
% 4.10/4.30 inference(unit_resolution,[status(thm)],[291, 30])).
% 4.10/4.30 tff(293,plain,
% 4.10/4.30 ($false),
% 4.10/4.30 inference(unit_resolution,[status(thm)],[292, 288, 267])).
% 4.10/4.30 tff(294,plain,((~(mult(mult(a, b), a) = mult(a, mult(a, b)))) | (mult(mult(mult(a, b), c), a) = mult(mult(a, b), mult(a, c))) | (~(mult(mult(c, a), b) = mult(c, mult(a, b)))) | (~(mult(mult(a, b), c) = mult(a, mult(c, b)))) | (~(mult(mult(a, mult(c, b)), a) = mult(a, mult(a, mult(c, b)))))), inference(lemma,lemma(discharge,[]))).
% 4.10/4.30 tff(295,plain,
% 4.10/4.30 (~(mult(mult(c, a), b) = mult(c, mult(a, b)))),
% 4.10/4.30 inference(unit_resolution,[status(thm)],[294, 247, 177, 106, 89])).
% 4.10/4.30 tff(296,plain,
% 4.10/4.30 (((~(mult(mult(c, b), a) = mult(c, mult(b, a)))) | (~(mult(mult(c, a), b) = mult(c, mult(a, b))))) | (mult(mult(c, a), b) = mult(c, mult(a, b)))),
% 4.10/4.30 inference(tautology,[status(thm)],[])).
% 4.10/4.30 tff(297,plain,
% 4.10/4.30 ((~(mult(mult(c, b), a) = mult(c, mult(b, a)))) | (~(mult(mult(c, a), b) = mult(c, mult(a, b))))),
% 4.10/4.30 inference(unit_resolution,[status(thm)],[296, 295])).
% 4.10/4.30 tff(298,plain,
% 4.10/4.30 (((~![X0: $i, X1: $i, X2: $i] : ((~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X2, X1)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X1, X2)))))) | (~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X1, X2)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X2, X1)))))))) | ((~((~(mult(mult(c, b), a) = mult(c, mult(a, b)))) | (~(mult(mult(c, a), b) = mult(c, mult(b, a)))))) | (~((~(mult(mult(c, b), a) = mult(c, mult(b, a)))) | (~(mult(mult(c, a), b) = mult(c, mult(a, b)))))))) <=> ((~![X0: $i, X1: $i, X2: $i] : ((~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X2, X1)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X1, X2)))))) | (~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X1, X2)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X2, X1)))))))) | (~((~(mult(mult(c, b), a) = mult(c, mult(a, b)))) | (~(mult(mult(c, a), b) = mult(c, mult(b, a)))))) | (~((~(mult(mult(c, b), a) = mult(c, mult(b, a)))) | (~(mult(mult(c, a), b) = mult(c, mult(a, b)))))))),
% 4.10/4.30 inference(rewrite,[status(thm)],[])).
% 4.10/4.30 tff(299,plain,
% 4.10/4.30 ((~![X0: $i, X1: $i, X2: $i] : ((~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X2, X1)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X1, X2)))))) | (~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X1, X2)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X2, X1)))))))) | ((~((~(mult(mult(c, b), a) = mult(c, mult(a, b)))) | (~(mult(mult(c, a), b) = mult(c, mult(b, a)))))) | (~((~(mult(mult(c, b), a) = mult(c, mult(b, a)))) | (~(mult(mult(c, a), b) = mult(c, mult(a, b)))))))),
% 4.10/4.30 inference(quant_inst,[status(thm)],[])).
% 4.10/4.30 tff(300,plain,
% 4.10/4.30 ((~![X0: $i, X1: $i, X2: $i] : ((~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X2, X1)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X1, X2)))))) | (~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X1, X2)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X2, X1)))))))) | (~((~(mult(mult(c, b), a) = mult(c, mult(a, b)))) | (~(mult(mult(c, a), b) = mult(c, mult(b, a)))))) | (~((~(mult(mult(c, b), a) = mult(c, mult(b, a)))) | (~(mult(mult(c, a), b) = mult(c, mult(a, b))))))),
% 4.10/4.31 inference(modus_ponens,[status(thm)],[299, 298])).
% 4.10/4.31 tff(301,plain,
% 4.10/4.31 ((~((~(mult(mult(c, b), a) = mult(c, mult(a, b)))) | (~(mult(mult(c, a), b) = mult(c, mult(b, a)))))) | (~((~(mult(mult(c, b), a) = mult(c, mult(b, a)))) | (~(mult(mult(c, a), b) = mult(c, mult(a, b))))))),
% 4.10/4.31 inference(unit_resolution,[status(thm)],[300, 30])).
% 4.10/4.31 tff(302,plain,
% 4.10/4.31 (~((~(mult(mult(c, b), a) = mult(c, mult(a, b)))) | (~(mult(mult(c, a), b) = mult(c, mult(b, a)))))),
% 4.10/4.31 inference(unit_resolution,[status(thm)],[301, 297])).
% 4.10/4.31 tff(303,plain,
% 4.10/4.31 (((~(mult(mult(c, b), a) = mult(c, mult(a, b)))) | (~(mult(mult(c, a), b) = mult(c, mult(b, a))))) | (mult(mult(c, a), b) = mult(c, mult(b, a)))),
% 4.10/4.31 inference(tautology,[status(thm)],[])).
% 4.10/4.31 tff(304,plain,
% 4.10/4.31 (mult(mult(c, a), b) = mult(c, mult(b, a))),
% 4.10/4.31 inference(unit_resolution,[status(thm)],[303, 302])).
% 4.10/4.31 tff(305,plain,
% 4.10/4.31 (mult(c, mult(b, a)) = mult(mult(c, a), b)),
% 4.10/4.31 inference(symmetry,[status(thm)],[304])).
% 4.10/4.31 tff(306,plain,
% 4.10/4.31 (mult(c, mult(b, a)) = mult(mult(a, b), c)),
% 4.10/4.31 inference(transitivity,[status(thm)],[305, 210, 207, 114])).
% 4.10/4.31 tff(307,plain,
% 4.10/4.31 (mult(a, mult(c, mult(b, a))) = mult(a, mult(mult(a, b), c))),
% 4.10/4.31 inference(monotonicity,[status(thm)],[306])).
% 4.10/4.31 tff(308,plain,
% 4.10/4.31 (((~(mult(mult(a, a), b) = mult(a, mult(b, a)))) | (~(mult(mult(a, b), a) = mult(a, mult(a, b))))) | (mult(mult(a, a), b) = mult(a, mult(b, a)))),
% 4.10/4.31 inference(tautology,[status(thm)],[])).
% 4.10/4.31 tff(309,plain,
% 4.10/4.31 (mult(mult(a, a), b) = mult(a, mult(b, a))),
% 4.10/4.31 inference(unit_resolution,[status(thm)],[308, 245])).
% 4.10/4.31 tff(310,plain,
% 4.10/4.31 (mult(mult(mult(a, a), b), c) = mult(mult(a, mult(b, a)), c)),
% 4.10/4.31 inference(monotonicity,[status(thm)],[309])).
% 4.10/4.31 tff(311,plain,
% 4.10/4.31 (mult(mult(mult(a, a), b), c) = mult(mult(mult(a, b), c), a)),
% 4.10/4.31 inference(transitivity,[status(thm)],[310, 218, 307, 112, 109, 108])).
% 4.10/4.31 tff(312,plain,
% 4.10/4.31 ((mult(mult(mult(a, a), b), c) = mult(mult(a, a), mult(b, c))) <=> (mult(mult(mult(a, b), c), a) = mult(a, mult(b, mult(c, a))))),
% 4.10/4.31 inference(monotonicity,[status(thm)],[311, 105])).
% 4.10/4.31 tff(313,plain,
% 4.10/4.31 ((mult(mult(mult(a, a), b), c) = mult(mult(a, a), mult(b, c))) <=> (mult(a, mult(b, mult(c, a))) = mult(mult(mult(a, b), c), a))),
% 4.10/4.31 inference(transitivity,[status(thm)],[312, 15])).
% 4.10/4.31 tff(314,plain,
% 4.10/4.31 ((mult(a, mult(b, mult(c, a))) = mult(mult(mult(a, b), c), a)) <=> (mult(mult(mult(a, a), b), c) = mult(mult(a, a), mult(b, c)))),
% 4.10/4.31 inference(symmetry,[status(thm)],[313])).
% 4.10/4.31 tff(315,plain,
% 4.10/4.31 ((~(mult(a, mult(b, mult(c, a))) = mult(mult(mult(a, b), c), a))) <=> (~(mult(mult(mult(a, a), b), c) = mult(mult(a, a), mult(b, c))))),
% 4.10/4.31 inference(monotonicity,[status(thm)],[314])).
% 4.10/4.31 tff(316,plain,
% 4.10/4.31 (~(mult(mult(mult(a, a), b), c) = mult(mult(a, a), mult(b, c)))),
% 4.10/4.31 inference(modus_ponens,[status(thm)],[194, 315])).
% 4.10/4.31 tff(317,plain,
% 4.10/4.31 (((~(mult(mult(mult(a, a), b), c) = mult(mult(a, a), mult(b, c)))) | (~(mult(mult(mult(a, a), c), b) = mult(mult(a, a), mult(c, b))))) | (mult(mult(mult(a, a), b), c) = mult(mult(a, a), mult(b, c)))),
% 4.10/4.31 inference(tautology,[status(thm)],[])).
% 4.10/4.31 tff(318,plain,
% 4.10/4.31 ((~(mult(mult(mult(a, a), b), c) = mult(mult(a, a), mult(b, c)))) | (~(mult(mult(mult(a, a), c), b) = mult(mult(a, a), mult(c, b))))),
% 4.10/4.31 inference(unit_resolution,[status(thm)],[317, 316])).
% 4.10/4.31 tff(319,plain,
% 4.10/4.31 (((~(mult(mult(a, a), mult(c, b)) = mult(a, mult(mult(c, b), a)))) | (~(mult(mult(a, mult(c, b)), a) = mult(a, mult(a, mult(c, b)))))) | (mult(mult(a, a), mult(c, b)) = mult(a, mult(mult(c, b), a)))),
% 4.10/4.31 inference(tautology,[status(thm)],[])).
% 4.10/4.31 tff(320,plain,
% 4.10/4.31 (mult(mult(a, a), mult(c, b)) = mult(a, mult(mult(c, b), a))),
% 4.10/4.31 inference(unit_resolution,[status(thm)],[319, 87])).
% 4.10/4.31 tff(321,plain,
% 4.10/4.31 (mult(mult(mult(a, a), b), c) = mult(mult(a, mult(c, b)), a)),
% 4.10/4.31 inference(transitivity,[status(thm)],[310, 218, 307, 112, 109])).
% 4.10/4.31 tff(322,plain,
% 4.10/4.31 ((mult(mult(mult(a, a), b), c) = mult(mult(a, a), mult(c, b))) <=> (mult(mult(a, mult(c, b)), a) = mult(a, mult(mult(c, b), a)))),
% 4.10/4.31 inference(monotonicity,[status(thm)],[321, 320])).
% 4.10/4.31 tff(323,plain,
% 4.10/4.31 ((mult(mult(a, mult(c, b)), a) = mult(a, mult(mult(c, b), a))) <=> (mult(mult(mult(a, a), b), c) = mult(mult(a, a), mult(c, b)))),
% 4.10/4.31 inference(symmetry,[status(thm)],[322])).
% 4.10/4.31 tff(324,plain,
% 4.10/4.31 ((~(mult(mult(a, mult(c, b)), a) = mult(a, mult(mult(c, b), a)))) <=> (~(mult(mult(mult(a, a), b), c) = mult(mult(a, a), mult(c, b))))),
% 4.10/4.31 inference(monotonicity,[status(thm)],[323])).
% 4.10/4.31 tff(325,plain,
% 4.10/4.31 (~(mult(mult(mult(a, a), b), c) = mult(mult(a, a), mult(c, b)))),
% 4.10/4.31 inference(modus_ponens,[status(thm)],[78, 324])).
% 4.10/4.31 tff(326,plain,
% 4.10/4.31 (((~(mult(mult(mult(a, a), b), c) = mult(mult(a, a), mult(c, b)))) | (~(mult(mult(mult(a, a), c), b) = mult(mult(a, a), mult(b, c))))) | (mult(mult(mult(a, a), b), c) = mult(mult(a, a), mult(c, b)))),
% 4.10/4.31 inference(tautology,[status(thm)],[])).
% 4.10/4.31 tff(327,plain,
% 4.10/4.31 ((~(mult(mult(mult(a, a), b), c) = mult(mult(a, a), mult(c, b)))) | (~(mult(mult(mult(a, a), c), b) = mult(mult(a, a), mult(b, c))))),
% 4.10/4.31 inference(unit_resolution,[status(thm)],[326, 325])).
% 4.10/4.31 tff(328,plain,
% 4.10/4.31 (((~![X0: $i, X1: $i, X2: $i] : ((~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X2, X1)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X1, X2)))))) | (~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X1, X2)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X2, X1)))))))) | ((~((~(mult(mult(mult(a, a), b), c) = mult(mult(a, a), mult(c, b)))) | (~(mult(mult(mult(a, a), c), b) = mult(mult(a, a), mult(b, c)))))) | (~((~(mult(mult(mult(a, a), b), c) = mult(mult(a, a), mult(b, c)))) | (~(mult(mult(mult(a, a), c), b) = mult(mult(a, a), mult(c, b)))))))) <=> ((~![X0: $i, X1: $i, X2: $i] : ((~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X2, X1)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X1, X2)))))) | (~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X1, X2)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X2, X1)))))))) | (~((~(mult(mult(mult(a, a), b), c) = mult(mult(a, a), mult(c, b)))) | (~(mult(mult(mult(a, a), c), b) = mult(mult(a, a), mult(b, c)))))) | (~((~(mult(mult(mult(a, a), b), c) = mult(mult(a, a), mult(b, c)))) | (~(mult(mult(mult(a, a), c), b) = mult(mult(a, a), mult(c, b)))))))),
% 4.10/4.31 inference(rewrite,[status(thm)],[])).
% 4.10/4.31 tff(329,plain,
% 4.10/4.31 (((~((~(mult(mult(mult(a, a), b), c) = mult(mult(a, a), mult(c, b)))) | (~(mult(mult(mult(a, a), c), b) = mult(mult(a, a), mult(b, c)))))) | (~((~(mult(mult(mult(a, a), b), c) = mult(mult(a, a), mult(b, c)))) | (~(mult(mult(mult(a, a), c), b) = mult(mult(a, a), mult(c, b))))))) <=> ((~((~(mult(mult(mult(a, a), b), c) = mult(mult(a, a), mult(c, b)))) | (~(mult(mult(mult(a, a), c), b) = mult(mult(a, a), mult(b, c)))))) | (~((~(mult(mult(mult(a, a), b), c) = mult(mult(a, a), mult(b, c)))) | (~(mult(mult(mult(a, a), c), b) = mult(mult(a, a), mult(c, b)))))))),
% 4.10/4.31 inference(rewrite,[status(thm)],[])).
% 4.10/4.31 tff(330,plain,
% 4.10/4.31 ((~((~(mult(mult(mult(a, a), c), b) = mult(mult(a, a), mult(c, b)))) | (~(mult(mult(mult(a, a), b), c) = mult(mult(a, a), mult(b, c)))))) <=> (~((~(mult(mult(mult(a, a), b), c) = mult(mult(a, a), mult(b, c)))) | (~(mult(mult(mult(a, a), c), b) = mult(mult(a, a), mult(c, b))))))),
% 4.10/4.31 inference(rewrite,[status(thm)],[])).
% 4.10/4.31 tff(331,plain,
% 4.10/4.31 ((~((~(mult(mult(mult(a, a), c), b) = mult(mult(a, a), mult(b, c)))) | (~(mult(mult(mult(a, a), b), c) = mult(mult(a, a), mult(c, b)))))) <=> (~((~(mult(mult(mult(a, a), b), c) = mult(mult(a, a), mult(c, b)))) | (~(mult(mult(mult(a, a), c), b) = mult(mult(a, a), mult(b, c))))))),
% 4.10/4.31 inference(rewrite,[status(thm)],[])).
% 4.10/4.31 tff(332,plain,
% 4.10/4.31 (((~((~(mult(mult(mult(a, a), c), b) = mult(mult(a, a), mult(b, c)))) | (~(mult(mult(mult(a, a), b), c) = mult(mult(a, a), mult(c, b)))))) | (~((~(mult(mult(mult(a, a), c), b) = mult(mult(a, a), mult(c, b)))) | (~(mult(mult(mult(a, a), b), c) = mult(mult(a, a), mult(b, c))))))) <=> ((~((~(mult(mult(mult(a, a), b), c) = mult(mult(a, a), mult(c, b)))) | (~(mult(mult(mult(a, a), c), b) = mult(mult(a, a), mult(b, c)))))) | (~((~(mult(mult(mult(a, a), b), c) = mult(mult(a, a), mult(b, c)))) | (~(mult(mult(mult(a, a), c), b) = mult(mult(a, a), mult(c, b)))))))),
% 4.14/4.31 inference(monotonicity,[status(thm)],[331, 330])).
% 4.14/4.31 tff(333,plain,
% 4.14/4.31 (((~((~(mult(mult(mult(a, a), c), b) = mult(mult(a, a), mult(b, c)))) | (~(mult(mult(mult(a, a), b), c) = mult(mult(a, a), mult(c, b)))))) | (~((~(mult(mult(mult(a, a), c), b) = mult(mult(a, a), mult(c, b)))) | (~(mult(mult(mult(a, a), b), c) = mult(mult(a, a), mult(b, c))))))) <=> ((~((~(mult(mult(mult(a, a), b), c) = mult(mult(a, a), mult(c, b)))) | (~(mult(mult(mult(a, a), c), b) = mult(mult(a, a), mult(b, c)))))) | (~((~(mult(mult(mult(a, a), b), c) = mult(mult(a, a), mult(b, c)))) | (~(mult(mult(mult(a, a), c), b) = mult(mult(a, a), mult(c, b)))))))),
% 4.14/4.31 inference(transitivity,[status(thm)],[332, 329])).
% 4.14/4.31 tff(334,plain,
% 4.14/4.31 (((~![X0: $i, X1: $i, X2: $i] : ((~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X2, X1)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X1, X2)))))) | (~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X1, X2)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X2, X1)))))))) | ((~((~(mult(mult(mult(a, a), c), b) = mult(mult(a, a), mult(b, c)))) | (~(mult(mult(mult(a, a), b), c) = mult(mult(a, a), mult(c, b)))))) | (~((~(mult(mult(mult(a, a), c), b) = mult(mult(a, a), mult(c, b)))) | (~(mult(mult(mult(a, a), b), c) = mult(mult(a, a), mult(b, c)))))))) <=> ((~![X0: $i, X1: $i, X2: $i] : ((~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X2, X1)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X1, X2)))))) | (~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X1, X2)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X2, X1)))))))) | ((~((~(mult(mult(mult(a, a), b), c) = mult(mult(a, a), mult(c, b)))) | (~(mult(mult(mult(a, a), c), b) = mult(mult(a, a), mult(b, c)))))) | (~((~(mult(mult(mult(a, a), b), c) = mult(mult(a, a), mult(b, c)))) | (~(mult(mult(mult(a, a), c), b) = mult(mult(a, a), mult(c, b))))))))),
% 4.14/4.31 inference(monotonicity,[status(thm)],[333])).
% 4.14/4.31 tff(335,plain,
% 4.14/4.31 (((~![X0: $i, X1: $i, X2: $i] : ((~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X2, X1)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X1, X2)))))) | (~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X1, X2)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X2, X1)))))))) | ((~((~(mult(mult(mult(a, a), c), b) = mult(mult(a, a), mult(b, c)))) | (~(mult(mult(mult(a, a), b), c) = mult(mult(a, a), mult(c, b)))))) | (~((~(mult(mult(mult(a, a), c), b) = mult(mult(a, a), mult(c, b)))) | (~(mult(mult(mult(a, a), b), c) = mult(mult(a, a), mult(b, c)))))))) <=> ((~![X0: $i, X1: $i, X2: $i] : ((~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X2, X1)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X1, X2)))))) | (~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X1, X2)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X2, X1)))))))) | (~((~(mult(mult(mult(a, a), b), c) = mult(mult(a, a), mult(c, b)))) | (~(mult(mult(mult(a, a), c), b) = mult(mult(a, a), mult(b, c)))))) | (~((~(mult(mult(mult(a, a), b), c) = mult(mult(a, a), mult(b, c)))) | (~(mult(mult(mult(a, a), c), b) = mult(mult(a, a), mult(c, b)))))))),
% 4.14/4.31 inference(transitivity,[status(thm)],[334, 328])).
% 4.14/4.31 tff(336,plain,
% 4.14/4.31 ((~![X0: $i, X1: $i, X2: $i] : ((~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X2, X1)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X1, X2)))))) | (~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X1, X2)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X2, X1)))))))) | ((~((~(mult(mult(mult(a, a), c), b) = mult(mult(a, a), mult(b, c)))) | (~(mult(mult(mult(a, a), b), c) = mult(mult(a, a), mult(c, b)))))) | (~((~(mult(mult(mult(a, a), c), b) = mult(mult(a, a), mult(c, b)))) | (~(mult(mult(mult(a, a), b), c) = mult(mult(a, a), mult(b, c)))))))),
% 4.14/4.31 inference(quant_inst,[status(thm)],[])).
% 4.14/4.31 tff(337,plain,
% 4.14/4.31 ((~![X0: $i, X1: $i, X2: $i] : ((~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X2, X1)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X1, X2)))))) | (~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X1, X2)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X2, X1)))))))) | (~((~(mult(mult(mult(a, a), b), c) = mult(mult(a, a), mult(c, b)))) | (~(mult(mult(mult(a, a), c), b) = mult(mult(a, a), mult(b, c)))))) | (~((~(mult(mult(mult(a, a), b), c) = mult(mult(a, a), mult(b, c)))) | (~(mult(mult(mult(a, a), c), b) = mult(mult(a, a), mult(c, b))))))),
% 4.14/4.31 inference(modus_ponens,[status(thm)],[336, 335])).
% 4.14/4.31 tff(338,plain,
% 4.14/4.31 ((~((~(mult(mult(mult(a, a), b), c) = mult(mult(a, a), mult(c, b)))) | (~(mult(mult(mult(a, a), c), b) = mult(mult(a, a), mult(b, c)))))) | (~((~(mult(mult(mult(a, a), b), c) = mult(mult(a, a), mult(b, c)))) | (~(mult(mult(mult(a, a), c), b) = mult(mult(a, a), mult(c, b))))))),
% 4.14/4.31 inference(unit_resolution,[status(thm)],[337, 30])).
% 4.14/4.31 tff(339,plain,
% 4.14/4.31 ($false),
% 4.14/4.31 inference(unit_resolution,[status(thm)],[338, 327, 318])).
% 4.14/4.31 tff(340,plain,((mult(mult(a, c), mult(b, a)) = mult(a, mult(c, mult(b, a)))) | (mult(mult(a, mult(c, b)), a) = mult(a, mult(mult(c, b), a))) | (~(mult(mult(a, b), c) = mult(a, mult(c, b)))) | (~(mult(mult(a, a), mult(b, c)) = mult(a, mult(mult(b, c), a)))) | (~(mult(mult(b, c), a) = mult(b, mult(c, a)))) | (~(mult(mult(a, mult(b, c)), a) = mult(a, mult(a, mult(b, c))))) | (~(mult(mult(mult(a, c), b), a) = mult(mult(a, c), mult(b, a)))) | (~(mult(mult(a, c), b) = mult(a, mult(b, c)))) | (mult(mult(a, b), c) = mult(a, mult(b, c))) | (~(mult(mult(b, a), c) = mult(b, mult(a, c))))), inference(lemma,lemma(discharge,[]))).
% 4.14/4.31 tff(341,plain,
% 4.14/4.31 (mult(mult(a, c), mult(b, a)) = mult(a, mult(c, mult(b, a)))),
% 4.14/4.31 inference(unit_resolution,[status(thm)],[340, 101, 91, 78, 37, 96, 93, 97, 65, 99])).
% 4.14/4.31 tff(342,assumption,(mult(mult(c, a), b) = mult(c, mult(b, a))), introduced(assumption)).
% 4.14/4.31 tff(343,plain,
% 4.14/4.31 ((~![B: $i, A: $i] : (rd(mult(A, B), B) = A)) | (rd(mult(mult(a, c), b), b) = mult(a, c))),
% 4.14/4.31 inference(quant_inst,[status(thm)],[])).
% 4.14/4.31 tff(344,plain,
% 4.14/4.31 (rd(mult(mult(a, c), b), b) = mult(a, c)),
% 4.14/4.31 inference(unit_resolution,[status(thm)],[343, 72])).
% 4.14/4.31 tff(345,plain,
% 4.14/4.31 ((~![B: $i, A: $i] : (ld(A, mult(A, B)) = B)) | (ld(a, mult(a, mult(a, mult(b, c)))) = mult(a, mult(b, c)))),
% 4.14/4.31 inference(quant_inst,[status(thm)],[])).
% 4.14/4.31 tff(346,plain,
% 4.14/4.31 (ld(a, mult(a, mult(a, mult(b, c)))) = mult(a, mult(b, c))),
% 4.14/4.31 inference(unit_resolution,[status(thm)],[345, 9])).
% 4.14/4.31 tff(347,plain,
% 4.14/4.31 (~(mult(mult(a, c), mult(b, a)) = mult(a, mult(mult(b, a), c)))),
% 4.14/4.31 inference(unit_resolution,[status(thm)],[162, 93, 137, 118, 116, 117])).
% 4.14/4.31 tff(348,plain,
% 4.14/4.31 ((~(mult(mult(a, c), mult(b, a)) = mult(a, mult(mult(b, a), c)))) | (~(mult(mult(a, mult(b, a)), c) = mult(a, mult(c, mult(b, a)))))),
% 4.14/4.31 inference(unit_resolution,[status(thm)],[134, 347])).
% 4.14/4.31 tff(349,plain,
% 4.14/4.31 (~((~(mult(mult(a, c), mult(b, a)) = mult(a, mult(c, mult(b, a))))) | (~(mult(mult(a, mult(b, a)), c) = mult(a, mult(mult(b, a), c)))))),
% 4.14/4.31 inference(unit_resolution,[status(thm)],[132, 348])).
% 4.14/4.31 tff(350,plain,
% 4.14/4.31 (mult(mult(a, c), mult(b, a)) = mult(a, mult(c, mult(b, a)))),
% 4.14/4.31 inference(unit_resolution,[status(thm)],[120, 349])).
% 4.14/4.31 tff(351,plain,
% 4.14/4.31 (mult(a, mult(c, mult(b, a))) = mult(mult(a, c), mult(b, a))),
% 4.14/4.31 inference(symmetry,[status(thm)],[350])).
% 4.14/4.31 tff(352,plain,
% 4.14/4.31 (mult(a, mult(mult(c, a), b)) = mult(a, mult(c, mult(b, a)))),
% 4.14/4.31 inference(monotonicity,[status(thm)],[342])).
% 4.14/4.31 tff(353,plain,
% 4.14/4.31 (mult(a, mult(mult(c, a), b)) = mult(a, mult(a, mult(b, c)))),
% 4.14/4.31 inference(transitivity,[status(thm)],[352, 351, 153, 152, 116])).
% 4.14/4.31 tff(354,plain,
% 4.14/4.31 (ld(a, mult(a, mult(mult(c, a), b))) = ld(a, mult(a, mult(a, mult(b, c))))),
% 4.14/4.31 inference(monotonicity,[status(thm)],[353])).
% 4.14/4.31 tff(355,plain,
% 4.14/4.31 (mult(mult(c, a), b) = mult(mult(a, c), b)),
% 4.14/4.31 inference(transitivity,[status(thm)],[210, 354, 346, 214])).
% 4.14/4.31 tff(356,plain,
% 4.14/4.31 (rd(mult(mult(c, a), b), b) = rd(mult(mult(a, c), b), b)),
% 4.14/4.31 inference(monotonicity,[status(thm)],[355])).
% 4.14/4.31 tff(357,plain,
% 4.14/4.31 ((~![B: $i, A: $i] : (rd(mult(A, B), B) = A)) | (rd(mult(mult(c, a), b), b) = mult(c, a))),
% 4.14/4.31 inference(quant_inst,[status(thm)],[])).
% 4.14/4.32 tff(358,plain,
% 4.14/4.32 (rd(mult(mult(c, a), b), b) = mult(c, a)),
% 4.14/4.32 inference(unit_resolution,[status(thm)],[357, 72])).
% 4.14/4.32 tff(359,plain,
% 4.14/4.32 (mult(c, a) = rd(mult(mult(c, a), b), b)),
% 4.14/4.32 inference(symmetry,[status(thm)],[358])).
% 4.14/4.32 tff(360,plain,
% 4.14/4.32 (mult(c, a) = mult(a, c)),
% 4.14/4.32 inference(transitivity,[status(thm)],[359, 356, 344])).
% 4.14/4.32 tff(361,plain,
% 4.14/4.32 (mult(b, mult(c, a)) = mult(b, mult(a, c))),
% 4.14/4.32 inference(monotonicity,[status(thm)],[360])).
% 4.14/4.32 tff(362,plain,
% 4.14/4.32 (mult(b, mult(a, c)) = mult(b, mult(c, a))),
% 4.14/4.32 inference(symmetry,[status(thm)],[361])).
% 4.14/4.32 tff(363,plain,
% 4.14/4.32 (mult(mult(b, a), c) = mult(b, mult(c, a))),
% 4.14/4.32 inference(transitivity,[status(thm)],[118, 362])).
% 4.14/4.32 tff(364,plain,
% 4.14/4.32 ($false),
% 4.14/4.32 inference(unit_resolution,[status(thm)],[14, 363])).
% 4.14/4.32 tff(365,plain,((~(mult(mult(mult(a, c), b), a) = mult(mult(a, c), mult(b, a)))) | (mult(mult(b, a), c) = mult(b, mult(c, a))) | (~(mult(mult(b, a), c) = mult(b, mult(a, c)))) | (~(mult(mult(a, c), b) = mult(a, mult(b, c)))) | (~(mult(mult(a, mult(b, c)), a) = mult(a, mult(a, mult(b, c))))) | (~(mult(mult(c, a), b) = mult(c, mult(b, a)))) | (mult(mult(a, b), mult(a, c)) = mult(a, mult(mult(a, c), b)))), inference(lemma,lemma(discharge,[]))).
% 4.14/4.32 tff(366,plain,
% 4.14/4.32 (mult(mult(a, b), mult(a, c)) = mult(a, mult(mult(a, c), b))),
% 4.14/4.32 inference(unit_resolution,[status(thm)],[365, 342, 99, 97, 93, 116, 14])).
% 4.14/4.32 tff(367,plain,
% 4.14/4.32 (~(mult(mult(mult(a, b), c), a) = mult(mult(a, b), mult(a, c)))),
% 4.14/4.32 inference(unit_resolution,[status(thm)],[176, 366, 97, 116, 65])).
% 4.14/4.32 tff(368,assumption,(mult(mult(a, c), mult(b, a)) = mult(a, mult(c, mult(b, a)))), introduced(assumption)).
% 4.14/4.32 tff(369,plain,
% 4.14/4.32 (mult(a, mult(a, mult(c, b))) = mult(mult(a, mult(c, b)), a)),
% 4.14/4.32 inference(symmetry,[status(thm)],[249])).
% 4.14/4.32 tff(370,assumption,(mult(mult(mult(a, b), c), a) = mult(mult(a, b), mult(c, a))), introduced(assumption)).
% 4.14/4.32 tff(371,plain,
% 4.14/4.32 (mult(mult(a, b), mult(c, a)) = mult(mult(mult(a, b), c), a)),
% 4.14/4.32 inference(symmetry,[status(thm)],[370])).
% 4.14/4.32 tff(372,plain,
% 4.14/4.32 ((mult(a, mult(b, mult(c, a))) = mult(mult(mult(a, b), c), a)) <=> (mult(a, mult(b, mult(c, a))) = mult(mult(a, b), mult(c, a)))),
% 4.14/4.32 inference(monotonicity,[status(thm)],[370])).
% 4.14/4.32 tff(373,plain,
% 4.14/4.32 ((mult(a, mult(b, mult(c, a))) = mult(mult(mult(a, b), c), a)) <=> (mult(mult(a, b), mult(c, a)) = mult(a, mult(b, mult(c, a))))),
% 4.14/4.32 inference(transitivity,[status(thm)],[372, 274])).
% 4.14/4.32 tff(374,plain,
% 4.14/4.32 ((~(mult(a, mult(b, mult(c, a))) = mult(mult(mult(a, b), c), a))) <=> (~(mult(mult(a, b), mult(c, a)) = mult(a, mult(b, mult(c, a)))))),
% 4.14/4.32 inference(monotonicity,[status(thm)],[373])).
% 4.14/4.32 tff(375,plain,
% 4.14/4.32 (~(mult(mult(a, b), mult(c, a)) = mult(a, mult(b, mult(c, a))))),
% 4.14/4.32 inference(modus_ponens,[status(thm)],[194, 374])).
% 4.14/4.32 tff(376,plain,
% 4.14/4.32 ((~(mult(mult(a, b), mult(c, a)) = mult(a, mult(b, mult(c, a))))) | (~(mult(mult(a, mult(c, a)), b) = mult(a, mult(mult(c, a), b))))),
% 4.14/4.32 inference(unit_resolution,[status(thm)],[196, 375])).
% 4.14/4.32 tff(377,plain,
% 4.14/4.32 (~((~(mult(mult(a, b), mult(c, a)) = mult(a, mult(mult(c, a), b)))) | (~(mult(mult(a, mult(c, a)), b) = mult(a, mult(b, mult(c, a))))))),
% 4.14/4.32 inference(unit_resolution,[status(thm)],[201, 376])).
% 4.14/4.32 tff(378,plain,
% 4.14/4.32 (mult(mult(a, b), mult(c, a)) = mult(a, mult(mult(c, a), b))),
% 4.14/4.32 inference(unit_resolution,[status(thm)],[203, 377])).
% 4.14/4.32 tff(379,plain,
% 4.14/4.32 (mult(a, mult(mult(c, a), b)) = mult(mult(a, b), mult(c, a))),
% 4.14/4.32 inference(symmetry,[status(thm)],[378])).
% 4.14/4.32 tff(380,plain,
% 4.14/4.32 (mult(a, mult(mult(c, a), b)) = mult(a, mult(mult(a, b), c))),
% 4.14/4.32 inference(transitivity,[status(thm)],[379, 371, 261, 249, 259])).
% 4.14/4.32 tff(381,plain,
% 4.14/4.32 (ld(a, mult(a, mult(mult(c, a), b))) = ld(a, mult(a, mult(mult(a, b), c)))),
% 4.14/4.32 inference(monotonicity,[status(thm)],[380])).
% 4.14/4.32 tff(382,plain,
% 4.14/4.32 (mult(c, mult(b, a)) = mult(mult(c, a), b)),
% 4.14/4.32 inference(symmetry,[status(thm)],[342])).
% 4.14/4.32 tff(383,plain,
% 4.14/4.32 (mult(c, mult(b, a)) = mult(mult(a, b), c)),
% 4.14/4.32 inference(transitivity,[status(thm)],[382, 210, 381, 114])).
% 4.14/4.32 tff(384,plain,
% 4.14/4.32 (mult(a, mult(c, mult(b, a))) = mult(a, mult(mult(a, b), c))),
% 4.14/4.32 inference(monotonicity,[status(thm)],[383])).
% 4.14/4.32 tff(385,plain,
% 4.14/4.32 (mult(mult(mult(a, c), b), a) = mult(mult(mult(a, b), c), a)),
% 4.14/4.32 inference(transitivity,[status(thm)],[93, 368, 384, 258, 369, 260])).
% 4.14/4.32 tff(386,plain,
% 4.14/4.32 (rd(mult(mult(mult(a, c), b), a), a) = rd(mult(mult(mult(a, b), c), a), a)),
% 4.14/4.32 inference(monotonicity,[status(thm)],[385])).
% 4.14/4.32 tff(387,plain,
% 4.14/4.32 ((~![B: $i, A: $i] : (rd(mult(A, B), B) = A)) | (rd(mult(mult(mult(a, c), b), a), a) = mult(mult(a, c), b))),
% 4.14/4.32 inference(quant_inst,[status(thm)],[])).
% 4.14/4.32 tff(388,plain,
% 4.14/4.32 (rd(mult(mult(mult(a, c), b), a), a) = mult(mult(a, c), b)),
% 4.14/4.32 inference(unit_resolution,[status(thm)],[387, 72])).
% 4.14/4.32 tff(389,plain,
% 4.14/4.32 (mult(mult(a, c), b) = rd(mult(mult(mult(a, c), b), a), a)),
% 4.14/4.32 inference(symmetry,[status(thm)],[388])).
% 4.14/4.32 tff(390,plain,
% 4.14/4.32 (mult(mult(a, c), b) = mult(a, mult(c, b))),
% 4.14/4.32 inference(transitivity,[status(thm)],[389, 386, 172, 106])).
% 4.14/4.32 tff(391,plain,
% 4.14/4.32 ($false),
% 4.14/4.32 inference(unit_resolution,[status(thm)],[41, 390])).
% 4.14/4.32 tff(392,plain,((~(mult(mult(mult(a, c), b), a) = mult(mult(a, c), mult(b, a)))) | (mult(mult(a, c), b) = mult(a, mult(c, b))) | (~(mult(mult(a, b), c) = mult(a, mult(c, b)))) | (~(mult(mult(a, c), mult(b, a)) = mult(a, mult(c, mult(b, a))))) | (~(mult(mult(a, mult(c, b)), a) = mult(a, mult(a, mult(c, b))))) | (~(mult(mult(c, a), b) = mult(c, mult(b, a)))) | (~(mult(mult(mult(a, b), c), a) = mult(mult(a, b), mult(c, a))))), inference(lemma,lemma(discharge,[]))).
% 4.14/4.32 tff(393,plain,
% 4.14/4.32 (~(mult(mult(mult(a, b), c), a) = mult(mult(a, b), mult(c, a)))),
% 4.14/4.32 inference(unit_resolution,[status(thm)],[392, 342, 91, 93, 249, 41, 368])).
% 4.14/4.32 tff(394,plain,
% 4.14/4.32 ((~(mult(mult(mult(a, b), a), c) = mult(mult(a, b), mult(a, c)))) | (~(mult(mult(mult(a, b), c), a) = mult(mult(a, b), mult(c, a))))),
% 4.14/4.32 inference(unit_resolution,[status(thm)],[185, 393])).
% 4.14/4.32 tff(395,plain,
% 4.14/4.32 (~((~(mult(mult(mult(a, b), a), c) = mult(mult(a, b), mult(c, a)))) | (~(mult(mult(mult(a, b), c), a) = mult(mult(a, b), mult(a, c)))))),
% 4.14/4.32 inference(unit_resolution,[status(thm)],[183, 394])).
% 4.14/4.32 tff(396,plain,
% 4.14/4.32 ($false),
% 4.14/4.32 inference(unit_resolution,[status(thm)],[178, 395, 367])).
% 4.14/4.32 tff(397,plain,((~(mult(mult(c, a), b) = mult(c, mult(b, a)))) | (~(mult(mult(a, mult(b, c)), a) = mult(a, mult(a, mult(b, c))))) | (~(mult(mult(mult(a, c), b), a) = mult(mult(a, c), mult(b, a)))) | (mult(mult(b, a), c) = mult(b, mult(c, a))) | (~(mult(mult(a, mult(c, b)), a) = mult(a, mult(a, mult(c, b))))) | (mult(mult(a, c), b) = mult(a, mult(c, b))) | (~(mult(mult(a, c), mult(b, a)) = mult(a, mult(c, mult(b, a)))))), inference(lemma,lemma(discharge,[]))).
% 4.14/4.32 tff(398,plain,
% 4.14/4.32 (~(mult(mult(c, a), b) = mult(c, mult(b, a)))),
% 4.14/4.32 inference(unit_resolution,[status(thm)],[397, 96, 93, 14, 89, 41, 341])).
% 4.14/4.32 tff(399,plain,
% 4.14/4.32 (~(mult(mult(a, b), mult(a, c)) = mult(a, mult(mult(a, c), b)))),
% 4.14/4.32 inference(unit_resolution,[status(thm)],[176, 168, 117, 116, 115])).
% 4.14/4.32 tff(400,plain,
% 4.14/4.32 ((~(mult(mult(a, mult(a, c)), b) = mult(a, mult(b, mult(a, c))))) | (~(mult(mult(a, b), mult(a, c)) = mult(a, mult(mult(a, c), b))))),
% 4.14/4.32 inference(unit_resolution,[status(thm)],[138, 399])).
% 4.14/4.32 tff(401,plain,
% 4.14/4.32 ((~![B: $i, A: $i] : (rd(mult(A, B), B) = A)) | (rd(mult(mult(a, b), c), c) = mult(a, b))),
% 4.14/4.32 inference(quant_inst,[status(thm)],[])).
% 4.14/4.32 tff(402,plain,
% 4.14/4.32 (rd(mult(mult(a, b), c), c) = mult(a, b)),
% 4.14/4.32 inference(unit_resolution,[status(thm)],[401, 72])).
% 4.14/4.32 tff(403,plain,
% 4.14/4.32 (mult(mult(a, b), mult(a, c)) = mult(mult(mult(a, b), c), a)),
% 4.14/4.32 inference(symmetry,[status(thm)],[168])).
% 4.14/4.32 tff(404,assumption,(mult(mult(a, b), mult(a, c)) = mult(a, mult(b, mult(a, c)))), introduced(assumption)).
% 4.14/4.32 tff(405,plain,
% 4.14/4.32 (mult(a, mult(b, mult(a, c))) = mult(mult(a, b), mult(a, c))),
% 4.14/4.32 inference(symmetry,[status(thm)],[404])).
% 4.14/4.32 tff(406,plain,
% 4.14/4.32 (mult(a, mult(b, mult(a, c))) = mult(a, mult(mult(a, b), c))),
% 4.14/4.32 inference(transitivity,[status(thm)],[405, 403, 261, 249, 259])).
% 4.14/4.32 tff(407,plain,
% 4.14/4.32 (ld(a, mult(a, mult(b, mult(a, c)))) = ld(a, mult(a, mult(mult(a, b), c)))),
% 4.14/4.32 inference(monotonicity,[status(thm)],[406])).
% 4.14/4.32 tff(408,plain,
% 4.14/4.32 ((~![B: $i, A: $i] : (ld(A, mult(A, B)) = B)) | (ld(a, mult(a, mult(b, mult(a, c)))) = mult(b, mult(a, c)))),
% 4.14/4.32 inference(quant_inst,[status(thm)],[])).
% 4.14/4.32 tff(409,plain,
% 4.14/4.32 (ld(a, mult(a, mult(b, mult(a, c)))) = mult(b, mult(a, c))),
% 4.14/4.32 inference(unit_resolution,[status(thm)],[408, 9])).
% 4.14/4.32 tff(410,plain,
% 4.14/4.32 (mult(b, mult(a, c)) = ld(a, mult(a, mult(b, mult(a, c))))),
% 4.14/4.32 inference(symmetry,[status(thm)],[409])).
% 4.14/4.32 tff(411,plain,
% 4.14/4.32 (mult(mult(b, a), c) = mult(mult(a, b), c)),
% 4.14/4.32 inference(transitivity,[status(thm)],[118, 410, 407, 114])).
% 4.14/4.32 tff(412,plain,
% 4.14/4.32 (rd(mult(mult(b, a), c), c) = rd(mult(mult(a, b), c), c)),
% 4.14/4.32 inference(monotonicity,[status(thm)],[411])).
% 4.14/4.32 tff(413,plain,
% 4.14/4.32 ((~![B: $i, A: $i] : (rd(mult(A, B), B) = A)) | (rd(mult(mult(b, a), c), c) = mult(b, a))),
% 4.14/4.32 inference(quant_inst,[status(thm)],[])).
% 4.14/4.32 tff(414,plain,
% 4.14/4.32 (rd(mult(mult(b, a), c), c) = mult(b, a)),
% 4.14/4.32 inference(unit_resolution,[status(thm)],[413, 72])).
% 4.14/4.32 tff(415,plain,
% 4.14/4.32 (mult(b, a) = rd(mult(mult(b, a), c), c)),
% 4.14/4.32 inference(symmetry,[status(thm)],[414])).
% 4.14/4.32 tff(416,plain,
% 4.14/4.32 (mult(b, a) = mult(a, b)),
% 4.14/4.32 inference(transitivity,[status(thm)],[415, 412, 402])).
% 4.14/4.32 tff(417,plain,
% 4.14/4.32 (mult(c, mult(b, a)) = mult(c, mult(a, b))),
% 4.14/4.32 inference(monotonicity,[status(thm)],[416])).
% 4.14/4.32 tff(418,plain,
% 4.14/4.32 (mult(c, mult(a, b)) = mult(c, mult(b, a))),
% 4.14/4.32 inference(symmetry,[status(thm)],[417])).
% 4.14/4.32 tff(419,plain,
% 4.14/4.32 ((~(mult(mult(c, b), a) = mult(c, mult(a, b)))) | (~(mult(mult(c, a), b) = mult(c, mult(b, a))))),
% 4.14/4.32 inference(unit_resolution,[status(thm)],[303, 40])).
% 4.14/4.32 tff(420,plain,
% 4.14/4.32 (~((~(mult(mult(c, b), a) = mult(c, mult(b, a)))) | (~(mult(mult(c, a), b) = mult(c, mult(a, b)))))),
% 4.14/4.32 inference(unit_resolution,[status(thm)],[301, 419])).
% 4.14/4.32 tff(421,plain,
% 4.14/4.32 (mult(mult(c, a), b) = mult(c, mult(a, b))),
% 4.14/4.32 inference(unit_resolution,[status(thm)],[296, 420])).
% 4.14/4.32 tff(422,plain,
% 4.14/4.32 (mult(mult(c, a), b) = mult(c, mult(b, a))),
% 4.14/4.32 inference(transitivity,[status(thm)],[421, 418])).
% 4.14/4.32 tff(423,plain,
% 4.14/4.32 ($false),
% 4.14/4.32 inference(unit_resolution,[status(thm)],[40, 422])).
% 4.14/4.32 tff(424,plain,((~(mult(mult(a, mult(c, b)), a) = mult(a, mult(a, mult(c, b))))) | (mult(mult(c, a), b) = mult(c, mult(b, a))) | (~(mult(mult(b, a), c) = mult(b, mult(a, c)))) | (~(mult(mult(a, b), mult(a, c)) = mult(a, mult(b, mult(a, c))))) | (~(mult(mult(mult(a, b), c), a) = mult(mult(a, b), mult(a, c)))) | (~(mult(mult(a, b), c) = mult(a, mult(c, b))))), inference(lemma,lemma(discharge,[]))).
% 4.14/4.32 tff(425,plain,
% 4.14/4.32 (~(mult(mult(a, b), mult(a, c)) = mult(a, mult(b, mult(a, c))))),
% 4.14/4.32 inference(unit_resolution,[status(thm)],[424, 168, 118, 106, 249, 40])).
% 4.14/4.32 tff(426,plain,
% 4.14/4.32 ((~(mult(mult(a, mult(a, c)), b) = mult(a, mult(mult(a, c), b)))) | (~(mult(mult(a, b), mult(a, c)) = mult(a, mult(b, mult(a, c)))))),
% 4.14/4.32 inference(unit_resolution,[status(thm)],[145, 425])).
% 4.14/4.32 tff(427,plain,
% 4.14/4.32 ($false),
% 4.14/4.32 inference(unit_resolution,[status(thm)],[143, 426, 400])).
% 4.14/4.32 tff(428,plain,((~(mult(mult(mult(a, b), c), a) = mult(mult(a, b), mult(a, c)))) | (~(mult(mult(b, a), c) = mult(b, mult(a, c)))) | (~(mult(mult(a, b), c) = mult(a, mult(c, b)))) | (~(mult(mult(a, mult(c, b)), a) = mult(a, mult(a, mult(c, b))))) | (mult(mult(c, a), b) = mult(c, mult(b, a))) | (~(mult(mult(a, c), b) = mult(a, mult(b, c)))) | (~(mult(mult(a, mult(b, c)), a) = mult(a, mult(a, mult(b, c))))) | (mult(mult(a, b), c) = mult(a, mult(b, c)))), inference(lemma,lemma(discharge,[]))).
% 4.14/4.32 tff(429,plain,
% 4.14/4.32 (~(mult(mult(mult(a, b), c), a) = mult(mult(a, b), mult(a, c)))),
% 4.14/4.32 inference(unit_resolution,[status(thm)],[428, 398, 91, 89, 99, 97, 96, 65])).
% 4.14/4.32 tff(430,plain,
% 4.14/4.32 ((~(mult(mult(mult(a, b), a), c) = mult(mult(a, b), mult(c, a)))) | (~(mult(mult(mult(a, b), c), a) = mult(mult(a, b), mult(a, c))))),
% 4.14/4.32 inference(unit_resolution,[status(thm)],[178, 429])).
% 4.14/4.32 tff(431,plain,
% 4.14/4.32 (~((~(mult(mult(mult(a, b), a), c) = mult(mult(a, b), mult(a, c)))) | (~(mult(mult(mult(a, b), c), a) = mult(mult(a, b), mult(c, a)))))),
% 4.14/4.32 inference(unit_resolution,[status(thm)],[183, 430])).
% 4.14/4.32 tff(432,plain,
% 4.14/4.32 (mult(mult(mult(a, b), c), a) = mult(mult(a, b), mult(c, a))),
% 4.14/4.32 inference(unit_resolution,[status(thm)],[185, 431])).
% 4.14/4.32 tff(433,plain,
% 4.14/4.32 (mult(mult(a, b), mult(c, a)) = mult(mult(mult(a, b), c), a)),
% 4.14/4.32 inference(symmetry,[status(thm)],[432])).
% 4.14/4.32 tff(434,plain,
% 4.14/4.32 (mult(a, mult(mult(a, b), c)) = mult(mult(mult(a, b), c), a)),
% 4.14/4.32 inference(transitivity,[status(thm)],[112, 109, 108])).
% 4.14/4.32 tff(435,plain,
% 4.14/4.32 (~(mult(mult(mult(a, b), c), a) = mult(mult(a, b), mult(a, c)))),
% 4.14/4.32 inference(unit_resolution,[status(thm)],[428, 40, 106, 89, 118, 117, 116, 115])).
% 4.14/4.32 tff(436,plain,
% 4.14/4.32 ((~(mult(mult(mult(a, b), a), c) = mult(mult(a, b), mult(c, a)))) | (~(mult(mult(mult(a, b), c), a) = mult(mult(a, b), mult(a, c))))),
% 4.14/4.32 inference(unit_resolution,[status(thm)],[178, 435])).
% 4.14/4.32 tff(437,plain,
% 4.14/4.32 (~((~(mult(mult(mult(a, b), a), c) = mult(mult(a, b), mult(a, c)))) | (~(mult(mult(mult(a, b), c), a) = mult(mult(a, b), mult(c, a)))))),
% 4.14/4.32 inference(unit_resolution,[status(thm)],[183, 436])).
% 4.14/4.32 tff(438,plain,
% 4.14/4.32 (mult(mult(mult(a, b), c), a) = mult(mult(a, b), mult(c, a))),
% 4.14/4.32 inference(unit_resolution,[status(thm)],[185, 437])).
% 4.14/4.32 tff(439,assumption,(mult(mult(a, b), mult(c, a)) = mult(a, mult(mult(c, a), b))), introduced(assumption)).
% 4.14/4.32 tff(440,plain,
% 4.14/4.32 (~(mult(mult(a, b), a) = mult(a, mult(a, b)))),
% 4.14/4.32 inference(unit_resolution,[status(thm)],[294, 435, 421, 106, 89])).
% 4.14/4.32 tff(441,plain,
% 4.14/4.32 ((~(mult(mult(a, a), b) = mult(a, mult(b, a)))) | (~(mult(mult(a, b), a) = mult(a, mult(a, b))))),
% 4.14/4.32 inference(unit_resolution,[status(thm)],[246, 440])).
% 4.14/4.32 tff(442,plain,
% 4.14/4.32 (~((~(mult(mult(a, a), b) = mult(a, mult(a, b)))) | (~(mult(mult(a, b), a) = mult(a, mult(b, a)))))),
% 4.14/4.32 inference(unit_resolution,[status(thm)],[244, 441])).
% 4.14/4.32 tff(443,plain,
% 4.14/4.32 (((~(mult(mult(a, a), b) = mult(a, mult(a, b)))) | (~(mult(mult(a, b), a) = mult(a, mult(b, a))))) | (mult(mult(a, a), b) = mult(a, mult(a, b)))),
% 4.14/4.32 inference(tautology,[status(thm)],[])).
% 4.14/4.32 tff(444,plain,
% 4.14/4.32 (mult(mult(a, a), b) = mult(a, mult(a, b))),
% 4.14/4.32 inference(unit_resolution,[status(thm)],[443, 442])).
% 4.14/4.32 tff(445,plain,
% 4.14/4.32 ((mult(a, mult(mult(c, b), a)) = mult(mult(a, mult(c, b)), a)) <=> (mult(mult(a, mult(c, b)), a) = mult(a, mult(mult(c, b), a)))),
% 4.14/4.32 inference(commutativity,[status(thm)],[])).
% 4.14/4.32 tff(446,plain,
% 4.14/4.32 (mult(a, mult(mult(a, b), c)) = mult(mult(a, mult(c, b)), a)),
% 4.14/4.32 inference(transitivity,[status(thm)],[112, 109])).
% 4.14/4.32 tff(447,assumption,(mult(mult(mult(a, a), b), c) = mult(mult(a, a), mult(c, b))), introduced(assumption)).
% 4.14/4.32 tff(448,assumption,(mult(mult(a, a), b) = mult(a, mult(a, b))), introduced(assumption)).
% 4.14/4.32 tff(449,plain,
% 4.14/4.32 (mult(a, mult(a, b)) = mult(mult(a, a), b)),
% 4.14/4.32 inference(symmetry,[status(thm)],[448])).
% 4.14/4.32 tff(450,plain,
% 4.14/4.32 (mult(mult(a, mult(a, b)), c) = mult(mult(mult(a, a), b), c)),
% 4.14/4.32 inference(monotonicity,[status(thm)],[449])).
% 4.14/4.32 tff(451,plain,
% 4.14/4.32 (mult(mult(a, mult(a, b)), c) = mult(a, mult(mult(c, b), a))),
% 4.14/4.32 inference(transitivity,[status(thm)],[450, 447, 320])).
% 4.14/4.32 tff(452,plain,
% 4.14/4.32 ((mult(mult(a, mult(a, b)), c) = mult(a, mult(mult(a, b), c))) <=> (mult(a, mult(mult(c, b), a)) = mult(mult(a, mult(c, b)), a))),
% 4.14/4.32 inference(monotonicity,[status(thm)],[451, 446])).
% 4.14/4.32 tff(453,plain,
% 4.14/4.32 ((mult(mult(a, mult(a, b)), c) = mult(a, mult(mult(a, b), c))) <=> (mult(mult(a, mult(c, b)), a) = mult(a, mult(mult(c, b), a)))),
% 4.14/4.32 inference(transitivity,[status(thm)],[452, 445])).
% 4.14/4.32 tff(454,plain,
% 4.14/4.32 ((mult(mult(a, mult(c, b)), a) = mult(a, mult(mult(c, b), a))) <=> (mult(mult(a, mult(a, b)), c) = mult(a, mult(mult(a, b), c)))),
% 4.14/4.32 inference(symmetry,[status(thm)],[453])).
% 4.14/4.32 tff(455,plain,
% 4.14/4.32 ((~(mult(mult(a, mult(c, b)), a) = mult(a, mult(mult(c, b), a)))) <=> (~(mult(mult(a, mult(a, b)), c) = mult(a, mult(mult(a, b), c))))),
% 4.14/4.32 inference(monotonicity,[status(thm)],[454])).
% 4.14/4.32 tff(456,plain,
% 4.14/4.32 (~(mult(mult(a, mult(a, b)), c) = mult(a, mult(mult(a, b), c)))),
% 4.14/4.32 inference(modus_ponens,[status(thm)],[78, 455])).
% 4.14/4.32 tff(457,plain,
% 4.14/4.32 ((~(mult(mult(a, mult(a, b)), c) = mult(a, mult(mult(a, b), c)))) | (~(mult(mult(a, c), mult(a, b)) = mult(a, mult(c, mult(a, b)))))),
% 4.14/4.32 inference(unit_resolution,[status(thm)],[266, 456])).
% 4.14/4.32 tff(458,plain,
% 4.14/4.32 (mult(a, mult(mult(c, a), b)) = mult(mult(a, b), mult(c, a))),
% 4.14/4.32 inference(symmetry,[status(thm)],[439])).
% 4.14/4.32 tff(459,plain,
% 4.14/4.32 (mult(a, mult(c, mult(a, b))) = mult(a, mult(mult(a, b), c))),
% 4.14/4.32 inference(transitivity,[status(thm)],[272, 458, 371, 107, 89, 111])).
% 4.14/4.32 tff(460,plain,
% 4.14/4.32 ((mult(mult(a, mult(a, b)), c) = mult(a, mult(c, mult(a, b)))) <=> (mult(mult(a, mult(a, b)), c) = mult(a, mult(mult(a, b), c)))),
% 4.14/4.32 inference(monotonicity,[status(thm)],[459])).
% 4.14/4.32 tff(461,plain,
% 4.14/4.32 ((mult(mult(a, mult(a, b)), c) = mult(a, mult(mult(a, b), c))) <=> (mult(mult(a, mult(a, b)), c) = mult(a, mult(c, mult(a, b))))),
% 4.14/4.32 inference(symmetry,[status(thm)],[460])).
% 4.14/4.32 tff(462,plain,
% 4.14/4.32 ((mult(mult(a, mult(c, b)), a) = mult(a, mult(mult(c, b), a))) <=> (mult(mult(a, mult(a, b)), c) = mult(a, mult(c, mult(a, b))))),
% 4.14/4.32 inference(transitivity,[status(thm)],[454, 461])).
% 4.14/4.32 tff(463,plain,
% 4.14/4.32 ((~(mult(mult(a, mult(c, b)), a) = mult(a, mult(mult(c, b), a)))) <=> (~(mult(mult(a, mult(a, b)), c) = mult(a, mult(c, mult(a, b)))))),
% 4.14/4.32 inference(monotonicity,[status(thm)],[462])).
% 4.14/4.32 tff(464,plain,
% 4.14/4.32 (~(mult(mult(a, mult(a, b)), c) = mult(a, mult(c, mult(a, b))))),
% 4.14/4.32 inference(modus_ponens,[status(thm)],[78, 463])).
% 4.14/4.32 tff(465,plain,
% 4.14/4.32 ((~(mult(mult(a, mult(a, b)), c) = mult(a, mult(c, mult(a, b))))) | (~(mult(mult(a, c), mult(a, b)) = mult(a, mult(mult(a, b), c))))),
% 4.14/4.32 inference(unit_resolution,[status(thm)],[287, 464])).
% 4.14/4.32 tff(466,plain,
% 4.14/4.32 ($false),
% 4.14/4.32 inference(unit_resolution,[status(thm)],[292, 465, 457])).
% 4.14/4.32 tff(467,plain,((~(mult(mult(mult(a, a), b), c) = mult(mult(a, a), mult(c, b)))) | (mult(mult(a, mult(c, b)), a) = mult(a, mult(mult(c, b), a))) | (~(mult(mult(a, b), c) = mult(a, mult(c, b)))) | (~(mult(mult(a, a), b) = mult(a, mult(a, b)))) | (~(mult(mult(a, b), mult(c, a)) = mult(a, mult(mult(c, a), b)))) | (~(mult(mult(mult(a, b), c), a) = mult(mult(a, b), mult(c, a)))) | (~(mult(mult(c, a), b) = mult(c, mult(a, b))))), inference(lemma,lemma(discharge,[]))).
% 4.14/4.32 tff(468,plain,
% 4.14/4.32 (~(mult(mult(mult(a, a), b), c) = mult(mult(a, a), mult(c, b)))),
% 4.14/4.32 inference(unit_resolution,[status(thm)],[467, 444, 106, 78, 439, 438, 421])).
% 4.14/4.32 tff(469,plain,
% 4.14/4.32 ((~(mult(mult(mult(a, a), b), c) = mult(mult(a, a), mult(c, b)))) | (~(mult(mult(mult(a, a), c), b) = mult(mult(a, a), mult(b, c))))),
% 4.14/4.32 inference(unit_resolution,[status(thm)],[326, 468])).
% 4.14/4.32 tff(470,plain,
% 4.14/4.32 (~((~(mult(mult(mult(a, a), b), c) = mult(mult(a, a), mult(b, c)))) | (~(mult(mult(mult(a, a), c), b) = mult(mult(a, a), mult(c, b)))))),
% 4.14/4.32 inference(unit_resolution,[status(thm)],[338, 469])).
% 4.14/4.32 tff(471,plain,
% 4.14/4.32 (mult(mult(mult(a, a), b), c) = mult(mult(a, a), mult(b, c))),
% 4.14/4.32 inference(unit_resolution,[status(thm)],[317, 470])).
% 4.14/4.32 tff(472,plain,
% 4.14/4.32 (mult(a, mult(a, b)) = mult(mult(a, a), b)),
% 4.14/4.32 inference(symmetry,[status(thm)],[444])).
% 4.14/4.32 tff(473,plain,
% 4.14/4.32 (mult(mult(a, mult(a, b)), c) = mult(mult(mult(a, a), b), c)),
% 4.14/4.32 inference(monotonicity,[status(thm)],[472])).
% 4.14/4.32 tff(474,plain,
% 4.14/4.32 (mult(mult(a, mult(a, b)), c) = mult(a, mult(b, mult(c, a)))),
% 4.14/4.32 inference(transitivity,[status(thm)],[473, 471, 104, 103])).
% 4.14/4.32 tff(475,plain,
% 4.14/4.32 ((mult(mult(a, mult(a, b)), c) = mult(a, mult(mult(a, b), c))) <=> (mult(a, mult(b, mult(c, a))) = mult(mult(mult(a, b), c), a))),
% 4.14/4.32 inference(monotonicity,[status(thm)],[474, 434])).
% 4.14/4.32 tff(476,plain,
% 4.14/4.32 ((mult(a, mult(b, mult(c, a))) = mult(mult(mult(a, b), c), a)) <=> (mult(mult(a, mult(a, b)), c) = mult(a, mult(mult(a, b), c)))),
% 4.14/4.32 inference(symmetry,[status(thm)],[475])).
% 4.14/4.32 tff(477,plain,
% 4.14/4.32 ((~(mult(a, mult(b, mult(c, a))) = mult(mult(mult(a, b), c), a))) <=> (~(mult(mult(a, mult(a, b)), c) = mult(a, mult(mult(a, b), c))))),
% 4.14/4.32 inference(monotonicity,[status(thm)],[476])).
% 4.14/4.32 tff(478,plain,
% 4.14/4.32 (~(mult(mult(a, mult(a, b)), c) = mult(a, mult(mult(a, b), c)))),
% 4.14/4.32 inference(modus_ponens,[status(thm)],[194, 477])).
% 4.14/4.32 tff(479,plain,
% 4.14/4.32 ((~(mult(mult(a, mult(a, b)), c) = mult(a, mult(mult(a, b), c)))) | (~(mult(mult(a, c), mult(a, b)) = mult(a, mult(c, mult(a, b)))))),
% 4.14/4.32 inference(unit_resolution,[status(thm)],[266, 478])).
% 4.14/4.32 tff(480,plain,
% 4.14/4.32 (mult(mult(a, b), mult(c, a)) = mult(mult(mult(a, b), c), a)),
% 4.14/4.33 inference(symmetry,[status(thm)],[438])).
% 4.14/4.33 tff(481,plain,
% 4.14/4.33 (mult(c, mult(a, b)) = mult(mult(c, a), b)),
% 4.14/4.33 inference(symmetry,[status(thm)],[421])).
% 4.14/4.33 tff(482,plain,
% 4.14/4.33 (mult(a, mult(c, mult(a, b))) = mult(a, mult(mult(c, a), b))),
% 4.14/4.33 inference(monotonicity,[status(thm)],[481])).
% 4.14/4.33 tff(483,plain,
% 4.14/4.33 (mult(a, mult(c, mult(a, b))) = mult(a, mult(mult(a, b), c))),
% 4.14/4.33 inference(transitivity,[status(thm)],[482, 458, 480, 107, 89, 111])).
% 4.14/4.33 tff(484,plain,
% 4.14/4.33 ((mult(mult(a, mult(a, b)), c) = mult(a, mult(c, mult(a, b)))) <=> (mult(mult(a, mult(a, b)), c) = mult(a, mult(mult(a, b), c)))),
% 4.14/4.33 inference(monotonicity,[status(thm)],[483])).
% 4.14/4.33 tff(485,plain,
% 4.14/4.33 ((mult(mult(a, mult(a, b)), c) = mult(a, mult(mult(a, b), c))) <=> (mult(mult(a, mult(a, b)), c) = mult(a, mult(c, mult(a, b))))),
% 4.14/4.33 inference(symmetry,[status(thm)],[484])).
% 4.14/4.33 tff(486,plain,
% 4.14/4.33 ((mult(a, mult(b, mult(c, a))) = mult(mult(mult(a, b), c), a)) <=> (mult(mult(a, mult(a, b)), c) = mult(a, mult(c, mult(a, b))))),
% 4.14/4.33 inference(transitivity,[status(thm)],[476, 485])).
% 4.14/4.33 tff(487,plain,
% 4.14/4.33 ((~(mult(a, mult(b, mult(c, a))) = mult(mult(mult(a, b), c), a))) <=> (~(mult(mult(a, mult(a, b)), c) = mult(a, mult(c, mult(a, b)))))),
% 4.14/4.33 inference(monotonicity,[status(thm)],[486])).
% 4.14/4.33 tff(488,plain,
% 4.14/4.33 (~(mult(mult(a, mult(a, b)), c) = mult(a, mult(c, mult(a, b))))),
% 4.14/4.33 inference(modus_ponens,[status(thm)],[194, 487])).
% 4.14/4.33 tff(489,plain,
% 4.14/4.33 ((~(mult(mult(a, mult(a, b)), c) = mult(a, mult(c, mult(a, b))))) | (~(mult(mult(a, c), mult(a, b)) = mult(a, mult(mult(a, b), c))))),
% 4.14/4.33 inference(unit_resolution,[status(thm)],[287, 488])).
% 4.14/4.33 tff(490,plain,
% 4.14/4.33 ($false),
% 4.14/4.33 inference(unit_resolution,[status(thm)],[292, 489, 479])).
% 4.14/4.33 tff(491,plain,((mult(mult(c, a), b) = mult(c, mult(b, a))) | (~(mult(mult(a, b), c) = mult(a, mult(c, b)))) | (~(mult(mult(a, a), mult(b, c)) = mult(a, mult(mult(b, c), a)))) | (~(mult(mult(b, c), a) = mult(b, mult(c, a)))) | (~(mult(mult(a, b), mult(c, a)) = mult(a, mult(mult(c, a), b)))) | (mult(mult(a, mult(c, b)), a) = mult(a, mult(mult(c, b), a))) | (~(mult(mult(b, a), c) = mult(b, mult(a, c)))) | (~(mult(mult(a, c), b) = mult(a, mult(b, c)))) | (~(mult(mult(a, mult(b, c)), a) = mult(a, mult(a, mult(b, c))))) | (mult(mult(a, b), c) = mult(a, mult(b, c)))), inference(lemma,lemma(discharge,[]))).
% 4.14/4.33 tff(492,plain,
% 4.14/4.33 (~(mult(mult(a, b), mult(c, a)) = mult(a, mult(mult(c, a), b)))),
% 4.14/4.33 inference(unit_resolution,[status(thm)],[491, 398, 101, 37, 91, 78, 99, 97, 96, 65])).
% 4.14/4.33 tff(493,plain,
% 4.14/4.33 ((~(mult(mult(a, b), mult(c, a)) = mult(a, mult(mult(c, a), b)))) | (~(mult(mult(a, mult(c, a)), b) = mult(a, mult(b, mult(c, a)))))),
% 4.14/4.33 inference(unit_resolution,[status(thm)],[203, 492])).
% 4.14/4.33 tff(494,plain,
% 4.14/4.33 (~((~(mult(mult(a, b), mult(c, a)) = mult(a, mult(b, mult(c, a))))) | (~(mult(mult(a, mult(c, a)), b) = mult(a, mult(mult(c, a), b)))))),
% 4.14/4.33 inference(unit_resolution,[status(thm)],[201, 493])).
% 4.14/4.33 tff(495,plain,
% 4.14/4.33 (mult(mult(a, b), mult(c, a)) = mult(a, mult(b, mult(c, a)))),
% 4.14/4.33 inference(unit_resolution,[status(thm)],[196, 494])).
% 4.14/4.33 tff(496,plain,
% 4.14/4.33 (mult(a, mult(b, mult(c, a))) = mult(mult(a, b), mult(c, a))),
% 4.14/4.33 inference(symmetry,[status(thm)],[495])).
% 4.14/4.33 tff(497,plain,
% 4.14/4.33 (mult(a, mult(b, mult(c, a))) = mult(mult(mult(a, b), c), a)),
% 4.14/4.33 inference(transitivity,[status(thm)],[496, 433])).
% 4.14/4.33 tff(498,plain,
% 4.14/4.33 ($false),
% 4.14/4.33 inference(unit_resolution,[status(thm)],[194, 497])).
% 4.14/4.33 tff(499,plain,(((~(mult(mult(a, a), mult(b, c)) = mult(a, mult(mult(b, c), a)))) | (~(mult(mult(a, mult(b, c)), a) = mult(a, mult(a, mult(b, c)))))) | (mult(mult(a, mult(c, b)), a) = mult(a, mult(mult(c, b), a))) | (~(mult(mult(mult(a, c), b), a) = mult(mult(a, c), mult(b, a)))) | (mult(mult(b, a), c) = mult(b, mult(c, a))) | (mult(mult(a, c), b) = mult(a, mult(c, b)))), inference(lemma,lemma(discharge,[]))).
% 4.14/4.33 tff(500,plain,
% 4.14/4.33 ((~(mult(mult(a, a), mult(b, c)) = mult(a, mult(mult(b, c), a)))) | (~(mult(mult(a, mult(b, c)), a) = mult(a, mult(a, mult(b, c)))))),
% 4.14/4.33 inference(unit_resolution,[status(thm)],[499, 93, 78, 14, 41])).
% 4.14/4.33 tff(501,plain,
% 4.14/4.33 (((~![X0: $i, X1: $i, X2: $i] : ((~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X2, X1)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X1, X2)))))) | (~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X1, X2)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X2, X1)))))))) | ((~((~(mult(mult(a, a), mult(b, c)) = mult(a, mult(mult(b, c), a)))) | (~(mult(mult(a, mult(b, c)), a) = mult(a, mult(a, mult(b, c))))))) | (~((~(mult(mult(a, a), mult(b, c)) = mult(a, mult(a, mult(b, c))))) | (~(mult(mult(a, mult(b, c)), a) = mult(a, mult(mult(b, c), a)))))))) <=> ((~![X0: $i, X1: $i, X2: $i] : ((~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X2, X1)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X1, X2)))))) | (~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X1, X2)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X2, X1)))))))) | (~((~(mult(mult(a, a), mult(b, c)) = mult(a, mult(mult(b, c), a)))) | (~(mult(mult(a, mult(b, c)), a) = mult(a, mult(a, mult(b, c))))))) | (~((~(mult(mult(a, a), mult(b, c)) = mult(a, mult(a, mult(b, c))))) | (~(mult(mult(a, mult(b, c)), a) = mult(a, mult(mult(b, c), a)))))))),
% 4.14/4.33 inference(rewrite,[status(thm)],[])).
% 4.14/4.33 tff(502,plain,
% 4.14/4.33 ((~![X0: $i, X1: $i, X2: $i] : ((~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X2, X1)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X1, X2)))))) | (~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X1, X2)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X2, X1)))))))) | ((~((~(mult(mult(a, a), mult(b, c)) = mult(a, mult(mult(b, c), a)))) | (~(mult(mult(a, mult(b, c)), a) = mult(a, mult(a, mult(b, c))))))) | (~((~(mult(mult(a, a), mult(b, c)) = mult(a, mult(a, mult(b, c))))) | (~(mult(mult(a, mult(b, c)), a) = mult(a, mult(mult(b, c), a)))))))),
% 4.14/4.33 inference(quant_inst,[status(thm)],[])).
% 4.14/4.33 tff(503,plain,
% 4.14/4.33 ((~![X0: $i, X1: $i, X2: $i] : ((~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X2, X1)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X1, X2)))))) | (~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X1, X2)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X2, X1)))))))) | (~((~(mult(mult(a, a), mult(b, c)) = mult(a, mult(mult(b, c), a)))) | (~(mult(mult(a, mult(b, c)), a) = mult(a, mult(a, mult(b, c))))))) | (~((~(mult(mult(a, a), mult(b, c)) = mult(a, mult(a, mult(b, c))))) | (~(mult(mult(a, mult(b, c)), a) = mult(a, mult(mult(b, c), a))))))),
% 4.14/4.33 inference(modus_ponens,[status(thm)],[502, 501])).
% 4.14/4.33 tff(504,plain,
% 4.14/4.33 ((~((~(mult(mult(a, a), mult(b, c)) = mult(a, mult(mult(b, c), a)))) | (~(mult(mult(a, mult(b, c)), a) = mult(a, mult(a, mult(b, c))))))) | (~((~(mult(mult(a, a), mult(b, c)) = mult(a, mult(a, mult(b, c))))) | (~(mult(mult(a, mult(b, c)), a) = mult(a, mult(mult(b, c), a))))))),
% 4.14/4.33 inference(unit_resolution,[status(thm)],[503, 30])).
% 4.14/4.33 tff(505,plain,
% 4.14/4.33 (~((~(mult(mult(a, a), mult(b, c)) = mult(a, mult(a, mult(b, c))))) | (~(mult(mult(a, mult(b, c)), a) = mult(a, mult(mult(b, c), a)))))),
% 4.14/4.33 inference(unit_resolution,[status(thm)],[504, 500])).
% 4.14/4.33 tff(506,plain,
% 4.14/4.33 (((~(mult(mult(a, a), mult(b, c)) = mult(a, mult(a, mult(b, c))))) | (~(mult(mult(a, mult(b, c)), a) = mult(a, mult(mult(b, c), a))))) | (mult(mult(a, mult(b, c)), a) = mult(a, mult(mult(b, c), a)))),
% 4.14/4.33 inference(tautology,[status(thm)],[])).
% 4.14/4.33 tff(507,plain,
% 4.14/4.33 (mult(mult(a, mult(b, c)), a) = mult(a, mult(mult(b, c), a))),
% 4.14/4.33 inference(unit_resolution,[status(thm)],[506, 505])).
% 4.14/4.33 tff(508,plain,
% 4.14/4.33 (mult(a, mult(b, mult(c, a))) = mult(a, mult(mult(b, c), a))),
% 4.14/4.33 inference(monotonicity,[status(thm)],[75])).
% 4.14/4.33 tff(509,plain,
% 4.14/4.33 (mult(a, mult(mult(b, c), a)) = mult(a, mult(b, mult(c, a)))),
% 4.14/4.33 inference(symmetry,[status(thm)],[508])).
% 4.14/4.33 tff(510,assumption,(mult(mult(a, mult(b, c)), a) = mult(a, mult(mult(b, c), a))), introduced(assumption)).
% 4.14/4.33 tff(511,plain,
% 4.14/4.33 (mult(mult(mult(a, c), b), a) = mult(mult(a, mult(b, c)), a)),
% 4.14/4.33 inference(symmetry,[status(thm)],[215])).
% 4.14/4.33 tff(512,plain,
% 4.14/4.33 (mult(a, mult(mult(b, a), c)) = mult(mult(a, c), mult(b, a))),
% 4.14/4.33 inference(symmetry,[status(thm)],[160])).
% 4.14/4.33 tff(513,plain,
% 4.14/4.33 (mult(b, mult(a, c)) = mult(mult(b, a), c)),
% 4.14/4.33 inference(symmetry,[status(thm)],[99])).
% 4.14/4.33 tff(514,plain,
% 4.14/4.33 (mult(a, mult(b, mult(a, c))) = mult(a, mult(mult(b, a), c))),
% 4.14/4.33 inference(monotonicity,[status(thm)],[513])).
% 4.14/4.33 tff(515,plain,
% 4.14/4.33 (mult(a, mult(b, mult(a, c))) = mult(a, mult(b, mult(c, a)))),
% 4.14/4.33 inference(transitivity,[status(thm)],[514, 512, 153, 511, 510, 509])).
% 4.14/4.33 tff(516,plain,
% 4.14/4.33 (ld(a, mult(a, mult(b, mult(a, c)))) = ld(a, mult(a, mult(b, mult(c, a))))),
% 4.14/4.33 inference(monotonicity,[status(thm)],[515])).
% 4.14/4.33 tff(517,plain,
% 4.14/4.33 (mult(mult(b, a), c) = mult(b, mult(c, a))),
% 4.14/4.33 inference(transitivity,[status(thm)],[99, 410, 516, 77])).
% 4.14/4.33 tff(518,plain,
% 4.14/4.33 ($false),
% 4.14/4.33 inference(unit_resolution,[status(thm)],[14, 517])).
% 4.14/4.33 tff(519,plain,((~(mult(mult(a, c), mult(b, a)) = mult(a, mult(mult(b, a), c)))) | (mult(mult(b, a), c) = mult(b, mult(c, a))) | (~(mult(mult(a, mult(b, c)), a) = mult(a, mult(mult(b, c), a)))) | (~(mult(mult(mult(a, c), b), a) = mult(mult(a, c), mult(b, a)))) | (~(mult(mult(a, c), b) = mult(a, mult(b, c))))), inference(lemma,lemma(discharge,[]))).
% 4.14/4.33 tff(520,plain,
% 4.14/4.33 (~(mult(mult(a, c), mult(b, a)) = mult(a, mult(mult(b, a), c)))),
% 4.14/4.33 inference(unit_resolution,[status(thm)],[519, 507, 14, 93, 97])).
% 4.14/4.33 tff(521,plain,
% 4.14/4.33 ((~(mult(mult(a, c), mult(b, a)) = mult(a, mult(mult(b, a), c)))) | (~(mult(mult(a, mult(b, a)), c) = mult(a, mult(c, mult(b, a)))))),
% 4.14/4.33 inference(unit_resolution,[status(thm)],[134, 520])).
% 4.14/4.33 tff(522,plain,
% 4.14/4.33 (~((~(mult(mult(a, c), mult(b, a)) = mult(a, mult(c, mult(b, a))))) | (~(mult(mult(a, mult(b, a)), c) = mult(a, mult(mult(b, a), c)))))),
% 4.14/4.33 inference(unit_resolution,[status(thm)],[132, 521])).
% 4.14/4.33 tff(523,plain,
% 4.14/4.33 (mult(mult(a, c), mult(b, a)) = mult(a, mult(c, mult(b, a)))),
% 4.14/4.33 inference(unit_resolution,[status(thm)],[120, 522])).
% 4.14/4.33 tff(524,plain,
% 4.14/4.33 ((~![B: $i, A: $i] : (rd(mult(A, B), B) = A)) | (rd(mult(mult(b, c), a), a) = mult(b, c))),
% 4.14/4.33 inference(quant_inst,[status(thm)],[])).
% 4.14/4.33 tff(525,plain,
% 4.14/4.33 (rd(mult(mult(b, c), a), a) = mult(b, c)),
% 4.14/4.33 inference(unit_resolution,[status(thm)],[524, 72])).
% 4.14/4.33 tff(526,plain,
% 4.14/4.33 (mult(b, mult(c, a)) = mult(mult(b, c), a)),
% 4.14/4.33 inference(symmetry,[status(thm)],[102])).
% 4.14/4.33 tff(527,plain,
% 4.14/4.33 (mult(a, mult(c, mult(b, a))) = mult(mult(a, c), mult(b, a))),
% 4.14/4.33 inference(symmetry,[status(thm)],[368])).
% 4.14/4.33 tff(528,plain,
% 4.14/4.33 (mult(a, mult(c, mult(b, a))) = mult(a, mult(b, mult(c, a)))),
% 4.14/4.33 inference(transitivity,[status(thm)],[527, 153, 152, 510, 103])).
% 4.14/4.33 tff(529,plain,
% 4.14/4.33 (ld(a, mult(a, mult(c, mult(b, a)))) = ld(a, mult(a, mult(b, mult(c, a))))),
% 4.14/4.33 inference(monotonicity,[status(thm)],[528])).
% 4.14/4.33 tff(530,plain,
% 4.14/4.33 ((~![B: $i, A: $i] : (ld(A, mult(A, B)) = B)) | (ld(a, mult(a, mult(c, mult(b, a)))) = mult(c, mult(b, a)))),
% 4.14/4.33 inference(quant_inst,[status(thm)],[])).
% 4.14/4.33 tff(531,plain,
% 4.14/4.33 (ld(a, mult(a, mult(c, mult(b, a)))) = mult(c, mult(b, a))),
% 4.14/4.33 inference(unit_resolution,[status(thm)],[530, 9])).
% 4.14/4.33 tff(532,plain,
% 4.14/4.33 (mult(c, mult(b, a)) = ld(a, mult(a, mult(c, mult(b, a))))),
% 4.14/4.33 inference(symmetry,[status(thm)],[531])).
% 4.14/4.33 tff(533,assumption,(mult(mult(c, b), a) = mult(c, mult(b, a))), introduced(assumption)).
% 4.14/4.33 tff(534,plain,
% 4.14/4.33 (mult(mult(c, b), a) = mult(mult(b, c), a)),
% 4.14/4.33 inference(transitivity,[status(thm)],[533, 532, 529, 77, 526])).
% 4.14/4.33 tff(535,plain,
% 4.14/4.33 (rd(mult(mult(c, b), a), a) = rd(mult(mult(b, c), a), a)),
% 4.14/4.33 inference(monotonicity,[status(thm)],[534])).
% 4.14/4.33 tff(536,plain,
% 4.14/4.33 (mult(c, b) = rd(mult(mult(c, b), a), a)),
% 4.14/4.33 inference(symmetry,[status(thm)],[74])).
% 4.14/4.33 tff(537,plain,
% 4.14/4.33 (mult(c, b) = mult(b, c)),
% 4.14/4.33 inference(transitivity,[status(thm)],[536, 535, 525])).
% 4.14/4.33 tff(538,plain,
% 4.14/4.33 (mult(a, mult(c, b)) = mult(a, mult(b, c))),
% 4.14/4.33 inference(monotonicity,[status(thm)],[537])).
% 4.14/4.33 tff(539,plain,
% 4.14/4.33 (mult(mult(a, b), c) = mult(a, mult(b, c))),
% 4.14/4.33 inference(transitivity,[status(thm)],[106, 538])).
% 4.14/4.33 tff(540,plain,
% 4.14/4.33 ($false),
% 4.14/4.33 inference(unit_resolution,[status(thm)],[115, 539])).
% 4.14/4.33 tff(541,plain,((~(mult(mult(c, b), a) = mult(c, mult(b, a)))) | (mult(mult(a, b), c) = mult(a, mult(b, c))) | (~(mult(mult(a, b), c) = mult(a, mult(c, b)))) | (~(mult(mult(b, c), a) = mult(b, mult(c, a)))) | (~(mult(mult(a, c), mult(b, a)) = mult(a, mult(c, mult(b, a))))) | (~(mult(mult(mult(a, c), b), a) = mult(mult(a, c), mult(b, a)))) | (~(mult(mult(a, mult(b, c)), a) = mult(a, mult(mult(b, c), a)))) | (~(mult(mult(a, c), b) = mult(a, mult(b, c))))), inference(lemma,lemma(discharge,[]))).
% 4.14/4.33 tff(542,plain,
% 4.14/4.33 (~(mult(mult(c, b), a) = mult(c, mult(b, a)))),
% 4.14/4.33 inference(unit_resolution,[status(thm)],[541, 523, 37, 97, 91, 93, 507, 65])).
% 4.14/4.33 tff(543,plain,
% 4.14/4.33 (((~(mult(mult(c, b), a) = mult(c, mult(b, a)))) | (~(mult(mult(c, a), b) = mult(c, mult(a, b))))) | (mult(mult(c, b), a) = mult(c, mult(b, a)))),
% 4.14/4.33 inference(tautology,[status(thm)],[])).
% 4.14/4.33 tff(544,plain,
% 4.14/4.33 ((~(mult(mult(c, b), a) = mult(c, mult(b, a)))) | (~(mult(mult(c, a), b) = mult(c, mult(a, b))))),
% 4.14/4.33 inference(unit_resolution,[status(thm)],[543, 542])).
% 4.14/4.33 tff(545,plain,
% 4.14/4.33 (~((~(mult(mult(c, b), a) = mult(c, mult(a, b)))) | (~(mult(mult(c, a), b) = mult(c, mult(b, a)))))),
% 4.14/4.33 inference(unit_resolution,[status(thm)],[301, 544])).
% 4.14/4.33 tff(546,plain,
% 4.14/4.33 (((~(mult(mult(c, b), a) = mult(c, mult(a, b)))) | (~(mult(mult(c, a), b) = mult(c, mult(b, a))))) | (mult(mult(c, b), a) = mult(c, mult(a, b)))),
% 4.14/4.33 inference(tautology,[status(thm)],[])).
% 4.14/4.33 tff(547,plain,
% 4.14/4.33 (mult(mult(c, b), a) = mult(c, mult(a, b))),
% 4.14/4.33 inference(unit_resolution,[status(thm)],[546, 545])).
% 4.14/4.33 tff(548,plain,
% 4.14/4.33 (mult(c, mult(a, b)) = mult(mult(c, b), a)),
% 4.14/4.33 inference(symmetry,[status(thm)],[547])).
% 4.14/4.33 tff(549,plain,
% 4.14/4.33 (mult(mult(c, a), b) = mult(c, mult(b, a))),
% 4.14/4.33 inference(unit_resolution,[status(thm)],[303, 545])).
% 4.14/4.33 tff(550,plain,
% 4.14/4.33 ((mult(mult(c, a), b) = mult(c, mult(a, b))) <=> (mult(c, mult(b, a)) = mult(mult(c, b), a))),
% 4.14/4.33 inference(monotonicity,[status(thm)],[549, 548])).
% 4.14/4.33 tff(551,plain,
% 4.14/4.33 ((mult(mult(c, a), b) = mult(c, mult(a, b))) <=> (mult(mult(c, b), a) = mult(c, mult(b, a)))),
% 4.14/4.33 inference(transitivity,[status(thm)],[550, 92])).
% 4.14/4.33 tff(552,plain,
% 4.14/4.33 ((mult(mult(c, b), a) = mult(c, mult(b, a))) <=> (mult(mult(c, a), b) = mult(c, mult(a, b)))),
% 4.14/4.33 inference(symmetry,[status(thm)],[551])).
% 4.14/4.33 tff(553,plain,
% 4.14/4.33 ((~(mult(mult(c, b), a) = mult(c, mult(b, a)))) <=> (~(mult(mult(c, a), b) = mult(c, mult(a, b))))),
% 4.14/4.33 inference(monotonicity,[status(thm)],[552])).
% 4.14/4.33 tff(554,plain,
% 4.14/4.33 (~(mult(mult(c, a), b) = mult(c, mult(a, b)))),
% 4.14/4.33 inference(modus_ponens,[status(thm)],[542, 553])).
% 4.14/4.33 tff(555,plain,
% 4.14/4.33 (~(mult(mult(mult(a, b), c), a) = mult(mult(a, b), mult(c, a)))),
% 4.14/4.33 inference(unit_resolution,[status(thm)],[392, 549, 91, 93, 89, 41, 523])).
% 4.14/4.33 tff(556,plain,
% 4.14/4.33 ((~(mult(mult(mult(a, b), a), c) = mult(mult(a, b), mult(a, c)))) | (~(mult(mult(mult(a, b), c), a) = mult(mult(a, b), mult(c, a))))),
% 4.14/4.33 inference(unit_resolution,[status(thm)],[185, 555])).
% 4.14/4.33 tff(557,plain,
% 4.14/4.33 (~((~(mult(mult(mult(a, b), a), c) = mult(mult(a, b), mult(c, a)))) | (~(mult(mult(mult(a, b), c), a) = mult(mult(a, b), mult(a, c)))))),
% 4.14/4.33 inference(unit_resolution,[status(thm)],[183, 556])).
% 4.14/4.33 tff(558,plain,
% 4.14/4.33 (mult(mult(mult(a, b), c), a) = mult(mult(a, b), mult(a, c))),
% 4.14/4.33 inference(unit_resolution,[status(thm)],[178, 557])).
% 4.14/4.33 tff(559,plain,
% 4.14/4.33 (mult(a, mult(mult(a, b), c)) = mult(a, mult(a, mult(b, c)))),
% 4.14/4.33 inference(transitivity,[status(thm)],[258, 369, 260, 168, 167, 150])).
% 4.14/4.33 tff(560,plain,
% 4.14/4.33 (ld(a, mult(a, mult(mult(a, b), c))) = ld(a, mult(a, mult(a, mult(b, c))))),
% 4.14/4.33 inference(monotonicity,[status(thm)],[559])).
% 4.14/4.33 tff(561,plain,
% 4.14/4.33 (mult(mult(a, b), c) = ld(a, mult(a, mult(mult(a, b), c)))),
% 4.14/4.33 inference(symmetry,[status(thm)],[114])).
% 4.14/4.33 tff(562,plain,
% 4.14/4.33 (mult(mult(a, b), c) = mult(a, mult(b, c))),
% 4.14/4.33 inference(transitivity,[status(thm)],[561, 560, 346])).
% 4.14/4.33 tff(563,plain,
% 4.14/4.33 ($false),
% 4.14/4.33 inference(unit_resolution,[status(thm)],[115, 562])).
% 4.14/4.33 tff(564,plain,((~(mult(mult(a, mult(c, b)), a) = mult(a, mult(a, mult(c, b))))) | (mult(mult(a, b), c) = mult(a, mult(b, c))) | (~(mult(mult(mult(a, b), c), a) = mult(mult(a, b), mult(a, c)))) | (~(mult(mult(a, b), mult(a, c)) = mult(a, mult(mult(a, c), b)))) | (~(mult(mult(a, c), b) = mult(a, mult(b, c)))) | (~(mult(mult(a, b), c) = mult(a, mult(c, b))))), inference(lemma,lemma(discharge,[]))).
% 4.14/4.33 tff(565,plain,
% 4.14/4.33 (~(mult(mult(a, b), mult(a, c)) = mult(a, mult(mult(a, c), b)))),
% 4.14/4.34 inference(unit_resolution,[status(thm)],[564, 558, 91, 89, 97, 65])).
% 4.14/4.34 tff(566,plain,
% 4.14/4.34 ((~(mult(mult(a, mult(a, c)), b) = mult(a, mult(b, mult(a, c))))) | (~(mult(mult(a, b), mult(a, c)) = mult(a, mult(mult(a, c), b))))),
% 4.14/4.34 inference(unit_resolution,[status(thm)],[138, 565])).
% 4.14/4.34 tff(567,plain,
% 4.14/4.34 (~((~(mult(mult(a, mult(a, c)), b) = mult(a, mult(mult(a, c), b)))) | (~(mult(mult(a, b), mult(a, c)) = mult(a, mult(b, mult(a, c))))))),
% 4.14/4.34 inference(unit_resolution,[status(thm)],[143, 566])).
% 4.14/4.34 tff(568,plain,
% 4.14/4.34 (mult(mult(a, b), mult(a, c)) = mult(a, mult(b, mult(a, c)))),
% 4.14/4.34 inference(unit_resolution,[status(thm)],[145, 567])).
% 4.14/4.34 tff(569,plain,
% 4.14/4.34 (mult(mult(c, a), b) = mult(c, mult(a, b))),
% 4.14/4.34 inference(transitivity,[status(thm)],[342, 417])).
% 4.14/4.34 tff(570,assumption,(~(mult(mult(c, a), b) = mult(c, mult(a, b)))), introduced(assumption)).
% 4.14/4.34 tff(571,plain,
% 4.14/4.34 ($false),
% 4.14/4.34 inference(unit_resolution,[status(thm)],[570, 569])).
% 4.14/4.34 tff(572,plain,((~(mult(mult(a, mult(c, b)), a) = mult(a, mult(a, mult(c, b))))) | (mult(mult(c, a), b) = mult(c, mult(a, b))) | (~(mult(mult(c, a), b) = mult(c, mult(b, a)))) | (~(mult(mult(b, a), c) = mult(b, mult(a, c)))) | (~(mult(mult(a, b), mult(a, c)) = mult(a, mult(b, mult(a, c))))) | (~(mult(mult(mult(a, b), c), a) = mult(mult(a, b), mult(a, c)))) | (~(mult(mult(a, b), c) = mult(a, mult(c, b))))), inference(lemma,lemma(discharge,[]))).
% 4.14/4.34 tff(573,plain,
% 4.14/4.34 (mult(mult(c, a), b) = mult(c, mult(a, b))),
% 4.14/4.34 inference(unit_resolution,[status(thm)],[572, 568, 99, 91, 89, 549, 558])).
% 4.14/4.34 tff(574,plain,
% 4.14/4.34 ($false),
% 4.14/4.34 inference(unit_resolution,[status(thm)],[573, 554])).
% 4.14/4.34 tff(575,plain,((~(mult(mult(mult(a, c), b), a) = mult(mult(a, c), mult(b, a)))) | (mult(mult(a, c), b) = mult(a, mult(c, b))) | (mult(mult(b, a), c) = mult(b, mult(c, a))) | (mult(mult(a, mult(c, b)), a) = mult(a, mult(mult(c, b), a)))), inference(lemma,lemma(discharge,[]))).
% 4.14/4.34 tff(576,plain,
% 4.14/4.34 (~(mult(mult(mult(a, c), b), a) = mult(mult(a, c), mult(b, a)))),
% 4.14/4.34 inference(unit_resolution,[status(thm)],[575, 78, 14, 41])).
% 4.14/4.34 tff(577,plain,
% 4.14/4.34 (((~(mult(mult(mult(a, c), a), b) = mult(mult(a, c), mult(a, b)))) | (~(mult(mult(mult(a, c), b), a) = mult(mult(a, c), mult(b, a))))) | (mult(mult(mult(a, c), b), a) = mult(mult(a, c), mult(b, a)))),
% 4.14/4.34 inference(tautology,[status(thm)],[])).
% 4.14/4.34 tff(578,plain,
% 4.14/4.34 ((~(mult(mult(mult(a, c), a), b) = mult(mult(a, c), mult(a, b)))) | (~(mult(mult(mult(a, c), b), a) = mult(mult(a, c), mult(b, a))))),
% 4.14/4.34 inference(unit_resolution,[status(thm)],[577, 576])).
% 4.14/4.34 tff(579,plain,
% 4.14/4.34 (((~![X0: $i, X1: $i, X2: $i] : ((~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X2, X1)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X1, X2)))))) | (~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X1, X2)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X2, X1)))))))) | ((~((~(mult(mult(mult(a, c), a), b) = mult(mult(a, c), mult(b, a)))) | (~(mult(mult(mult(a, c), b), a) = mult(mult(a, c), mult(a, b)))))) | (~((~(mult(mult(mult(a, c), a), b) = mult(mult(a, c), mult(a, b)))) | (~(mult(mult(mult(a, c), b), a) = mult(mult(a, c), mult(b, a)))))))) <=> ((~![X0: $i, X1: $i, X2: $i] : ((~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X2, X1)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X1, X2)))))) | (~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X1, X2)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X2, X1)))))))) | (~((~(mult(mult(mult(a, c), a), b) = mult(mult(a, c), mult(b, a)))) | (~(mult(mult(mult(a, c), b), a) = mult(mult(a, c), mult(a, b)))))) | (~((~(mult(mult(mult(a, c), a), b) = mult(mult(a, c), mult(a, b)))) | (~(mult(mult(mult(a, c), b), a) = mult(mult(a, c), mult(b, a)))))))),
% 4.14/4.34 inference(rewrite,[status(thm)],[])).
% 4.14/4.34 tff(580,plain,
% 4.14/4.34 (((~((~(mult(mult(mult(a, c), a), b) = mult(mult(a, c), mult(b, a)))) | (~(mult(mult(mult(a, c), b), a) = mult(mult(a, c), mult(a, b)))))) | (~((~(mult(mult(mult(a, c), a), b) = mult(mult(a, c), mult(a, b)))) | (~(mult(mult(mult(a, c), b), a) = mult(mult(a, c), mult(b, a))))))) <=> ((~((~(mult(mult(mult(a, c), a), b) = mult(mult(a, c), mult(b, a)))) | (~(mult(mult(mult(a, c), b), a) = mult(mult(a, c), mult(a, b)))))) | (~((~(mult(mult(mult(a, c), a), b) = mult(mult(a, c), mult(a, b)))) | (~(mult(mult(mult(a, c), b), a) = mult(mult(a, c), mult(b, a)))))))),
% 4.14/4.34 inference(rewrite,[status(thm)],[])).
% 4.14/4.34 tff(581,plain,
% 4.14/4.34 ((~((~(mult(mult(mult(a, c), b), a) = mult(mult(a, c), mult(b, a)))) | (~(mult(mult(mult(a, c), a), b) = mult(mult(a, c), mult(a, b)))))) <=> (~((~(mult(mult(mult(a, c), a), b) = mult(mult(a, c), mult(a, b)))) | (~(mult(mult(mult(a, c), b), a) = mult(mult(a, c), mult(b, a))))))),
% 4.14/4.34 inference(rewrite,[status(thm)],[])).
% 4.14/4.34 tff(582,plain,
% 4.14/4.34 ((~((~(mult(mult(mult(a, c), b), a) = mult(mult(a, c), mult(a, b)))) | (~(mult(mult(mult(a, c), a), b) = mult(mult(a, c), mult(b, a)))))) <=> (~((~(mult(mult(mult(a, c), a), b) = mult(mult(a, c), mult(b, a)))) | (~(mult(mult(mult(a, c), b), a) = mult(mult(a, c), mult(a, b))))))),
% 4.14/4.34 inference(rewrite,[status(thm)],[])).
% 4.14/4.34 tff(583,plain,
% 4.14/4.34 (((~((~(mult(mult(mult(a, c), b), a) = mult(mult(a, c), mult(a, b)))) | (~(mult(mult(mult(a, c), a), b) = mult(mult(a, c), mult(b, a)))))) | (~((~(mult(mult(mult(a, c), b), a) = mult(mult(a, c), mult(b, a)))) | (~(mult(mult(mult(a, c), a), b) = mult(mult(a, c), mult(a, b))))))) <=> ((~((~(mult(mult(mult(a, c), a), b) = mult(mult(a, c), mult(b, a)))) | (~(mult(mult(mult(a, c), b), a) = mult(mult(a, c), mult(a, b)))))) | (~((~(mult(mult(mult(a, c), a), b) = mult(mult(a, c), mult(a, b)))) | (~(mult(mult(mult(a, c), b), a) = mult(mult(a, c), mult(b, a)))))))),
% 4.14/4.34 inference(monotonicity,[status(thm)],[582, 581])).
% 4.14/4.34 tff(584,plain,
% 4.14/4.34 (((~((~(mult(mult(mult(a, c), b), a) = mult(mult(a, c), mult(a, b)))) | (~(mult(mult(mult(a, c), a), b) = mult(mult(a, c), mult(b, a)))))) | (~((~(mult(mult(mult(a, c), b), a) = mult(mult(a, c), mult(b, a)))) | (~(mult(mult(mult(a, c), a), b) = mult(mult(a, c), mult(a, b))))))) <=> ((~((~(mult(mult(mult(a, c), a), b) = mult(mult(a, c), mult(b, a)))) | (~(mult(mult(mult(a, c), b), a) = mult(mult(a, c), mult(a, b)))))) | (~((~(mult(mult(mult(a, c), a), b) = mult(mult(a, c), mult(a, b)))) | (~(mult(mult(mult(a, c), b), a) = mult(mult(a, c), mult(b, a)))))))),
% 4.14/4.34 inference(transitivity,[status(thm)],[583, 580])).
% 4.14/4.34 tff(585,plain,
% 4.14/4.34 (((~![X0: $i, X1: $i, X2: $i] : ((~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X2, X1)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X1, X2)))))) | (~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X1, X2)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X2, X1)))))))) | ((~((~(mult(mult(mult(a, c), b), a) = mult(mult(a, c), mult(a, b)))) | (~(mult(mult(mult(a, c), a), b) = mult(mult(a, c), mult(b, a)))))) | (~((~(mult(mult(mult(a, c), b), a) = mult(mult(a, c), mult(b, a)))) | (~(mult(mult(mult(a, c), a), b) = mult(mult(a, c), mult(a, b)))))))) <=> ((~![X0: $i, X1: $i, X2: $i] : ((~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X2, X1)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X1, X2)))))) | (~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X1, X2)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X2, X1)))))))) | ((~((~(mult(mult(mult(a, c), a), b) = mult(mult(a, c), mult(b, a)))) | (~(mult(mult(mult(a, c), b), a) = mult(mult(a, c), mult(a, b)))))) | (~((~(mult(mult(mult(a, c), a), b) = mult(mult(a, c), mult(a, b)))) | (~(mult(mult(mult(a, c), b), a) = mult(mult(a, c), mult(b, a))))))))),
% 4.14/4.34 inference(monotonicity,[status(thm)],[584])).
% 4.14/4.34 tff(586,plain,
% 4.14/4.34 (((~![X0: $i, X1: $i, X2: $i] : ((~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X2, X1)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X1, X2)))))) | (~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X1, X2)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X2, X1)))))))) | ((~((~(mult(mult(mult(a, c), b), a) = mult(mult(a, c), mult(a, b)))) | (~(mult(mult(mult(a, c), a), b) = mult(mult(a, c), mult(b, a)))))) | (~((~(mult(mult(mult(a, c), b), a) = mult(mult(a, c), mult(b, a)))) | (~(mult(mult(mult(a, c), a), b) = mult(mult(a, c), mult(a, b)))))))) <=> ((~![X0: $i, X1: $i, X2: $i] : ((~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X2, X1)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X1, X2)))))) | (~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X1, X2)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X2, X1)))))))) | (~((~(mult(mult(mult(a, c), a), b) = mult(mult(a, c), mult(b, a)))) | (~(mult(mult(mult(a, c), b), a) = mult(mult(a, c), mult(a, b)))))) | (~((~(mult(mult(mult(a, c), a), b) = mult(mult(a, c), mult(a, b)))) | (~(mult(mult(mult(a, c), b), a) = mult(mult(a, c), mult(b, a)))))))),
% 4.14/4.34 inference(transitivity,[status(thm)],[585, 579])).
% 4.14/4.34 tff(587,plain,
% 4.14/4.34 ((~![X0: $i, X1: $i, X2: $i] : ((~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X2, X1)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X1, X2)))))) | (~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X1, X2)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X2, X1)))))))) | ((~((~(mult(mult(mult(a, c), b), a) = mult(mult(a, c), mult(a, b)))) | (~(mult(mult(mult(a, c), a), b) = mult(mult(a, c), mult(b, a)))))) | (~((~(mult(mult(mult(a, c), b), a) = mult(mult(a, c), mult(b, a)))) | (~(mult(mult(mult(a, c), a), b) = mult(mult(a, c), mult(a, b)))))))),
% 4.14/4.34 inference(quant_inst,[status(thm)],[])).
% 4.14/4.34 tff(588,plain,
% 4.14/4.34 ((~![X0: $i, X1: $i, X2: $i] : ((~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X2, X1)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X1, X2)))))) | (~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X1, X2)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X2, X1)))))))) | (~((~(mult(mult(mult(a, c), a), b) = mult(mult(a, c), mult(b, a)))) | (~(mult(mult(mult(a, c), b), a) = mult(mult(a, c), mult(a, b)))))) | (~((~(mult(mult(mult(a, c), a), b) = mult(mult(a, c), mult(a, b)))) | (~(mult(mult(mult(a, c), b), a) = mult(mult(a, c), mult(b, a))))))),
% 4.14/4.34 inference(modus_ponens,[status(thm)],[587, 586])).
% 4.14/4.34 tff(589,plain,
% 4.14/4.34 ((~((~(mult(mult(mult(a, c), a), b) = mult(mult(a, c), mult(b, a)))) | (~(mult(mult(mult(a, c), b), a) = mult(mult(a, c), mult(a, b)))))) | (~((~(mult(mult(mult(a, c), a), b) = mult(mult(a, c), mult(a, b)))) | (~(mult(mult(mult(a, c), b), a) = mult(mult(a, c), mult(b, a))))))),
% 4.14/4.34 inference(unit_resolution,[status(thm)],[588, 30])).
% 4.14/4.34 tff(590,plain,
% 4.14/4.34 (~((~(mult(mult(mult(a, c), a), b) = mult(mult(a, c), mult(b, a)))) | (~(mult(mult(mult(a, c), b), a) = mult(mult(a, c), mult(a, b)))))),
% 4.14/4.34 inference(unit_resolution,[status(thm)],[589, 578])).
% 4.14/4.34 tff(591,plain,
% 4.14/4.34 (((~(mult(mult(mult(a, c), a), b) = mult(mult(a, c), mult(b, a)))) | (~(mult(mult(mult(a, c), b), a) = mult(mult(a, c), mult(a, b))))) | (mult(mult(mult(a, c), b), a) = mult(mult(a, c), mult(a, b)))),
% 4.14/4.34 inference(tautology,[status(thm)],[])).
% 4.14/4.34 tff(592,plain,
% 4.14/4.34 (mult(mult(mult(a, c), b), a) = mult(mult(a, c), mult(a, b))),
% 4.14/4.34 inference(unit_resolution,[status(thm)],[591, 590])).
% 4.14/4.34 tff(593,assumption,(mult(mult(a, c), mult(a, b)) = mult(a, mult(mult(a, b), c))), introduced(assumption)).
% 4.14/4.34 tff(594,assumption,(mult(mult(mult(a, c), b), a) = mult(mult(a, c), mult(a, b))), introduced(assumption)).
% 4.14/4.34 tff(595,plain,
% 4.14/4.34 (mult(mult(mult(a, c), b), a) = mult(mult(mult(a, b), c), a)),
% 4.14/4.34 inference(transitivity,[status(thm)],[594, 593, 258, 369, 260])).
% 4.14/4.34 tff(596,plain,
% 4.14/4.34 (rd(mult(mult(mult(a, c), b), a), a) = rd(mult(mult(mult(a, b), c), a), a)),
% 4.14/4.34 inference(monotonicity,[status(thm)],[595])).
% 4.14/4.34 tff(597,plain,
% 4.14/4.34 (mult(mult(a, c), b) = mult(a, mult(c, b))),
% 4.14/4.34 inference(transitivity,[status(thm)],[389, 596, 172, 106])).
% 4.14/4.34 tff(598,plain,
% 4.14/4.34 ($false),
% 4.14/4.34 inference(unit_resolution,[status(thm)],[41, 597])).
% 4.14/4.34 tff(599,plain,((~(mult(mult(mult(a, c), b), a) = mult(mult(a, c), mult(a, b)))) | (mult(mult(a, c), b) = mult(a, mult(c, b))) | (~(mult(mult(a, b), c) = mult(a, mult(c, b)))) | (~(mult(mult(a, c), mult(a, b)) = mult(a, mult(mult(a, b), c)))) | (~(mult(mult(a, mult(c, b)), a) = mult(a, mult(a, mult(c, b)))))), inference(lemma,lemma(discharge,[]))).
% 4.14/4.34 tff(600,plain,
% 4.14/4.34 (~(mult(mult(a, c), mult(a, b)) = mult(a, mult(mult(a, b), c)))),
% 4.14/4.34 inference(unit_resolution,[status(thm)],[599, 592, 91, 41, 89])).
% 4.14/4.34 tff(601,plain,
% 4.14/4.34 (((~(mult(mult(a, mult(a, b)), c) = mult(a, mult(c, mult(a, b))))) | (~(mult(mult(a, c), mult(a, b)) = mult(a, mult(mult(a, b), c))))) | (mult(mult(a, c), mult(a, b)) = mult(a, mult(mult(a, b), c)))),
% 4.14/4.34 inference(tautology,[status(thm)],[])).
% 4.18/4.34 tff(602,plain,
% 4.18/4.34 ((~(mult(mult(a, mult(a, b)), c) = mult(a, mult(c, mult(a, b))))) | (~(mult(mult(a, c), mult(a, b)) = mult(a, mult(mult(a, b), c))))),
% 4.18/4.34 inference(unit_resolution,[status(thm)],[601, 600])).
% 4.18/4.34 tff(603,plain,
% 4.18/4.34 (~((~(mult(mult(a, mult(a, b)), c) = mult(a, mult(mult(a, b), c)))) | (~(mult(mult(a, c), mult(a, b)) = mult(a, mult(c, mult(a, b))))))),
% 4.18/4.34 inference(unit_resolution,[status(thm)],[292, 602])).
% 4.18/4.34 tff(604,plain,
% 4.18/4.34 (((~(mult(mult(a, mult(a, b)), c) = mult(a, mult(mult(a, b), c)))) | (~(mult(mult(a, c), mult(a, b)) = mult(a, mult(c, mult(a, b)))))) | (mult(mult(a, c), mult(a, b)) = mult(a, mult(c, mult(a, b))))),
% 4.18/4.34 inference(tautology,[status(thm)],[])).
% 4.18/4.34 tff(605,plain,
% 4.18/4.34 (mult(mult(a, c), mult(a, b)) = mult(a, mult(c, mult(a, b)))),
% 4.18/4.34 inference(unit_resolution,[status(thm)],[604, 603])).
% 4.18/4.34 tff(606,plain,
% 4.18/4.34 (mult(a, mult(b, c)) = mult(mult(a, c), b)),
% 4.18/4.34 inference(symmetry,[status(thm)],[97])).
% 4.18/4.34 tff(607,plain,
% 4.18/4.34 (mult(mult(a, mult(b, c)), a) = mult(mult(mult(a, c), b), a)),
% 4.18/4.34 inference(monotonicity,[status(thm)],[606])).
% 4.18/4.34 tff(608,plain,
% 4.18/4.34 (mult(mult(mult(a, b), c), a) = mult(mult(a, mult(c, b)), a)),
% 4.18/4.34 inference(monotonicity,[status(thm)],[91])).
% 4.18/4.34 tff(609,plain,
% 4.18/4.34 (mult(mult(a, mult(c, b)), a) = mult(mult(mult(a, b), c), a)),
% 4.18/4.34 inference(symmetry,[status(thm)],[608])).
% 4.18/4.34 tff(610,plain,
% 4.18/4.34 (mult(a, mult(c, b)) = mult(mult(a, b), c)),
% 4.18/4.34 inference(symmetry,[status(thm)],[91])).
% 4.18/4.34 tff(611,plain,
% 4.18/4.34 (mult(a, mult(a, mult(c, b))) = mult(a, mult(mult(a, b), c))),
% 4.18/4.34 inference(monotonicity,[status(thm)],[610])).
% 4.18/4.34 tff(612,plain,
% 4.18/4.34 (mult(a, mult(mult(a, b), c)) = mult(a, mult(a, mult(c, b)))),
% 4.18/4.34 inference(symmetry,[status(thm)],[611])).
% 4.18/4.34 tff(613,plain,
% 4.18/4.34 (mult(mult(a, mult(a, b)), c) = mult(a, mult(mult(a, b), c))),
% 4.18/4.34 inference(unit_resolution,[status(thm)],[266, 603])).
% 4.18/4.34 tff(614,assumption,(~(mult(mult(mult(a, c), b), a) = mult(mult(a, c), mult(b, a)))), introduced(assumption)).
% 4.18/4.34 tff(615,plain,
% 4.18/4.34 (mult(mult(a, c), mult(b, a)) = mult(mult(a, c), mult(a, b))),
% 4.18/4.34 inference(monotonicity,[status(thm)],[416])).
% 4.18/4.34 tff(616,plain,
% 4.18/4.34 (mult(mult(a, c), mult(a, b)) = mult(mult(a, c), mult(b, a))),
% 4.18/4.34 inference(symmetry,[status(thm)],[615])).
% 4.18/4.34 tff(617,plain,
% 4.18/4.34 ((~(mult(mult(mult(a, c), a), b) = mult(mult(a, c), mult(a, b)))) | (~(mult(mult(mult(a, c), b), a) = mult(mult(a, c), mult(b, a))))),
% 4.18/4.34 inference(unit_resolution,[status(thm)],[577, 614])).
% 4.18/4.34 tff(618,plain,
% 4.18/4.34 ((~![X0: $i, X1: $i, X2: $i] : ((~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X2, X1)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X1, X2)))))) | (~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X1, X2)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X2, X1)))))))) | ((~((~(mult(mult(mult(a, c), a), b) = mult(mult(a, c), mult(b, a)))) | (~(mult(mult(mult(a, c), b), a) = mult(mult(a, c), mult(a, b)))))) | (~((~(mult(mult(mult(a, c), a), b) = mult(mult(a, c), mult(a, b)))) | (~(mult(mult(mult(a, c), b), a) = mult(mult(a, c), mult(b, a)))))))),
% 4.18/4.34 inference(quant_inst,[status(thm)],[])).
% 4.18/4.34 tff(619,plain,
% 4.18/4.34 ((~![X0: $i, X1: $i, X2: $i] : ((~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X2, X1)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X1, X2)))))) | (~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X1, X2)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X2, X1)))))))) | (~((~(mult(mult(mult(a, c), a), b) = mult(mult(a, c), mult(b, a)))) | (~(mult(mult(mult(a, c), b), a) = mult(mult(a, c), mult(a, b)))))) | (~((~(mult(mult(mult(a, c), a), b) = mult(mult(a, c), mult(a, b)))) | (~(mult(mult(mult(a, c), b), a) = mult(mult(a, c), mult(b, a))))))),
% 4.18/4.34 inference(modus_ponens,[status(thm)],[618, 579])).
% 4.18/4.34 tff(620,plain,
% 4.18/4.34 ((~((~(mult(mult(mult(a, c), a), b) = mult(mult(a, c), mult(b, a)))) | (~(mult(mult(mult(a, c), b), a) = mult(mult(a, c), mult(a, b)))))) | (~((~(mult(mult(mult(a, c), a), b) = mult(mult(a, c), mult(a, b)))) | (~(mult(mult(mult(a, c), b), a) = mult(mult(a, c), mult(b, a))))))),
% 4.18/4.34 inference(unit_resolution,[status(thm)],[619, 30])).
% 4.18/4.34 tff(621,plain,
% 4.18/4.34 (~((~(mult(mult(mult(a, c), a), b) = mult(mult(a, c), mult(b, a)))) | (~(mult(mult(mult(a, c), b), a) = mult(mult(a, c), mult(a, b)))))),
% 4.18/4.35 inference(unit_resolution,[status(thm)],[620, 617])).
% 4.18/4.35 tff(622,plain,
% 4.18/4.35 (mult(mult(mult(a, c), b), a) = mult(mult(a, c), mult(a, b))),
% 4.18/4.35 inference(unit_resolution,[status(thm)],[591, 621])).
% 4.18/4.35 tff(623,plain,
% 4.18/4.35 (mult(mult(mult(a, c), b), a) = mult(mult(a, c), mult(b, a))),
% 4.18/4.35 inference(transitivity,[status(thm)],[622, 616])).
% 4.18/4.35 tff(624,plain,
% 4.18/4.35 ($false),
% 4.18/4.35 inference(unit_resolution,[status(thm)],[614, 623])).
% 4.18/4.35 tff(625,plain,((~(mult(mult(a, mult(c, b)), a) = mult(a, mult(a, mult(c, b))))) | (mult(mult(mult(a, c), b), a) = mult(mult(a, c), mult(b, a))) | (~(mult(mult(b, a), c) = mult(b, mult(a, c)))) | (~(mult(mult(a, b), mult(a, c)) = mult(a, mult(b, mult(a, c))))) | (~(mult(mult(mult(a, b), c), a) = mult(mult(a, b), mult(a, c)))) | (~(mult(mult(a, b), c) = mult(a, mult(c, b))))), inference(lemma,lemma(discharge,[]))).
% 4.18/4.35 tff(626,plain,
% 4.18/4.35 (~(mult(mult(a, b), mult(a, c)) = mult(a, mult(b, mult(a, c))))),
% 4.18/4.35 inference(unit_resolution,[status(thm)],[625, 168, 118, 106, 249, 614])).
% 4.18/4.35 tff(627,plain,
% 4.18/4.35 ((~(mult(mult(a, mult(a, c)), b) = mult(a, mult(mult(a, c), b)))) | (~(mult(mult(a, b), mult(a, c)) = mult(a, mult(b, mult(a, c)))))),
% 4.18/4.35 inference(unit_resolution,[status(thm)],[145, 626])).
% 4.18/4.35 tff(628,plain,
% 4.18/4.35 (~(mult(mult(a, b), mult(a, c)) = mult(a, mult(mult(a, c), b)))),
% 4.18/4.35 inference(unit_resolution,[status(thm)],[564, 168, 106, 249, 117, 115])).
% 4.18/4.35 tff(629,plain,
% 4.18/4.35 ((~(mult(mult(a, mult(a, c)), b) = mult(a, mult(b, mult(a, c))))) | (~(mult(mult(a, b), mult(a, c)) = mult(a, mult(mult(a, c), b))))),
% 4.18/4.35 inference(unit_resolution,[status(thm)],[138, 628])).
% 4.18/4.35 tff(630,plain,
% 4.18/4.35 ($false),
% 4.18/4.35 inference(unit_resolution,[status(thm)],[142, 30, 629, 627])).
% 4.18/4.35 tff(631,plain,((~(mult(mult(mult(a, b), c), a) = mult(mult(a, b), mult(a, c)))) | (~(mult(mult(b, a), c) = mult(b, mult(a, c)))) | (~(mult(mult(a, b), c) = mult(a, mult(c, b)))) | (~(mult(mult(a, mult(c, b)), a) = mult(a, mult(a, mult(c, b))))) | (mult(mult(mult(a, c), b), a) = mult(mult(a, c), mult(b, a))) | (~(mult(mult(a, c), b) = mult(a, mult(b, c)))) | (mult(mult(a, b), c) = mult(a, mult(b, c)))), inference(lemma,lemma(discharge,[]))).
% 4.18/4.35 tff(632,plain,
% 4.18/4.35 (~(mult(mult(mult(a, b), c), a) = mult(mult(a, b), mult(a, c)))),
% 4.18/4.35 inference(unit_resolution,[status(thm)],[631, 89, 91, 99, 576, 97, 65])).
% 4.18/4.35 tff(633,plain,
% 4.18/4.35 (~(mult(mult(a, b), a) = mult(a, mult(a, b)))),
% 4.18/4.35 inference(unit_resolution,[status(thm)],[264, 632, 91, 89, 613])).
% 4.18/4.35 tff(634,plain,
% 4.18/4.35 ((~(mult(mult(a, a), b) = mult(a, mult(b, a)))) | (~(mult(mult(a, b), a) = mult(a, mult(a, b))))),
% 4.18/4.35 inference(unit_resolution,[status(thm)],[246, 633])).
% 4.18/4.35 tff(635,plain,
% 4.18/4.35 (~((~(mult(mult(a, a), b) = mult(a, mult(a, b)))) | (~(mult(mult(a, b), a) = mult(a, mult(b, a)))))),
% 4.18/4.35 inference(unit_resolution,[status(thm)],[244, 634])).
% 4.18/4.35 tff(636,plain,
% 4.18/4.35 (mult(mult(a, a), b) = mult(a, mult(a, b))),
% 4.18/4.35 inference(unit_resolution,[status(thm)],[443, 635])).
% 4.18/4.35 tff(637,plain,
% 4.18/4.35 (mult(mult(mult(a, a), b), c) = mult(mult(a, mult(a, b)), c)),
% 4.18/4.35 inference(monotonicity,[status(thm)],[636])).
% 4.18/4.35 tff(638,plain,
% 4.18/4.35 (mult(mult(mult(a, a), b), c) = mult(mult(a, mult(c, b)), a)),
% 4.18/4.35 inference(transitivity,[status(thm)],[637, 613, 612, 109])).
% 4.18/4.35 tff(639,plain,
% 4.18/4.35 ((mult(mult(mult(a, a), b), c) = mult(mult(a, a), mult(c, b))) <=> (mult(mult(a, mult(c, b)), a) = mult(a, mult(mult(c, b), a)))),
% 4.18/4.35 inference(monotonicity,[status(thm)],[638, 320])).
% 4.18/4.35 tff(640,plain,
% 4.18/4.35 ((mult(mult(a, mult(c, b)), a) = mult(a, mult(mult(c, b), a))) <=> (mult(mult(mult(a, a), b), c) = mult(mult(a, a), mult(c, b)))),
% 4.18/4.35 inference(symmetry,[status(thm)],[639])).
% 4.18/4.35 tff(641,plain,
% 4.18/4.35 ((~(mult(mult(a, mult(c, b)), a) = mult(a, mult(mult(c, b), a)))) <=> (~(mult(mult(mult(a, a), b), c) = mult(mult(a, a), mult(c, b))))),
% 4.18/4.35 inference(monotonicity,[status(thm)],[640])).
% 4.18/4.35 tff(642,plain,
% 4.18/4.35 (~(mult(mult(mult(a, a), b), c) = mult(mult(a, a), mult(c, b)))),
% 4.18/4.35 inference(modus_ponens,[status(thm)],[78, 641])).
% 4.18/4.35 tff(643,plain,
% 4.18/4.35 ((~(mult(mult(mult(a, a), b), c) = mult(mult(a, a), mult(c, b)))) | (~(mult(mult(mult(a, a), c), b) = mult(mult(a, a), mult(b, c))))),
% 4.18/4.35 inference(unit_resolution,[status(thm)],[326, 642])).
% 4.18/4.35 tff(644,plain,
% 4.18/4.35 (~((~(mult(mult(mult(a, a), b), c) = mult(mult(a, a), mult(b, c)))) | (~(mult(mult(mult(a, a), c), b) = mult(mult(a, a), mult(c, b)))))),
% 4.18/4.35 inference(unit_resolution,[status(thm)],[338, 643])).
% 4.18/4.35 tff(645,plain,
% 4.18/4.35 (mult(mult(mult(a, a), b), c) = mult(mult(a, a), mult(b, c))),
% 4.18/4.35 inference(unit_resolution,[status(thm)],[317, 644])).
% 4.18/4.35 tff(646,plain,
% 4.18/4.35 (mult(mult(a, a), mult(b, c)) = mult(mult(mult(a, a), b), c)),
% 4.18/4.35 inference(symmetry,[status(thm)],[645])).
% 4.18/4.35 tff(647,plain,
% 4.18/4.35 (mult(mult(a, a), mult(b, c)) = mult(mult(mult(a, b), c), a)),
% 4.18/4.35 inference(transitivity,[status(thm)],[646, 637, 613, 612, 109, 609])).
% 4.18/4.35 tff(648,plain,
% 4.18/4.35 ((mult(mult(a, a), mult(b, c)) = mult(a, mult(mult(b, c), a))) <=> (mult(mult(mult(a, b), c), a) = mult(a, mult(b, mult(c, a))))),
% 4.18/4.35 inference(monotonicity,[status(thm)],[647, 509])).
% 4.18/4.35 tff(649,plain,
% 4.18/4.35 ((mult(mult(a, a), mult(b, c)) = mult(a, mult(mult(b, c), a))) <=> (mult(a, mult(b, mult(c, a))) = mult(mult(mult(a, b), c), a))),
% 4.18/4.35 inference(transitivity,[status(thm)],[648, 15])).
% 4.18/4.35 tff(650,plain,
% 4.18/4.35 ((mult(a, mult(b, mult(c, a))) = mult(mult(mult(a, b), c), a)) <=> (mult(mult(a, a), mult(b, c)) = mult(a, mult(mult(b, c), a)))),
% 4.18/4.35 inference(symmetry,[status(thm)],[649])).
% 4.18/4.35 tff(651,plain,
% 4.18/4.35 ((~(mult(a, mult(b, mult(c, a))) = mult(mult(mult(a, b), c), a))) <=> (~(mult(mult(a, a), mult(b, c)) = mult(a, mult(mult(b, c), a))))),
% 4.18/4.35 inference(monotonicity,[status(thm)],[650])).
% 4.18/4.35 tff(652,plain,
% 4.18/4.35 (~(mult(mult(a, a), mult(b, c)) = mult(a, mult(mult(b, c), a)))),
% 4.18/4.35 inference(modus_ponens,[status(thm)],[194, 651])).
% 4.18/4.35 tff(653,plain,
% 4.18/4.35 (((~(mult(mult(a, mult(b, c)), a) = mult(a, mult(a, mult(b, c))))) | (~(mult(mult(a, a), mult(b, c)) = mult(a, mult(mult(b, c), a))))) | (mult(mult(a, a), mult(b, c)) = mult(a, mult(mult(b, c), a)))),
% 4.18/4.35 inference(tautology,[status(thm)],[])).
% 4.18/4.35 tff(654,plain,
% 4.18/4.35 ((~(mult(mult(a, mult(b, c)), a) = mult(a, mult(a, mult(b, c))))) | (~(mult(mult(a, a), mult(b, c)) = mult(a, mult(mult(b, c), a))))),
% 4.18/4.35 inference(unit_resolution,[status(thm)],[653, 652])).
% 4.18/4.35 tff(655,plain,
% 4.18/4.35 (((~![X0: $i, X1: $i, X2: $i] : ((~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X2, X1)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X1, X2)))))) | (~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X1, X2)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X2, X1)))))))) | ((~((~(mult(mult(a, mult(b, c)), a) = mult(a, mult(a, mult(b, c))))) | (~(mult(mult(a, a), mult(b, c)) = mult(a, mult(mult(b, c), a)))))) | (~((~(mult(mult(a, mult(b, c)), a) = mult(a, mult(mult(b, c), a)))) | (~(mult(mult(a, a), mult(b, c)) = mult(a, mult(a, mult(b, c))))))))) <=> ((~![X0: $i, X1: $i, X2: $i] : ((~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X2, X1)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X1, X2)))))) | (~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X1, X2)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X2, X1)))))))) | (~((~(mult(mult(a, mult(b, c)), a) = mult(a, mult(a, mult(b, c))))) | (~(mult(mult(a, a), mult(b, c)) = mult(a, mult(mult(b, c), a)))))) | (~((~(mult(mult(a, mult(b, c)), a) = mult(a, mult(mult(b, c), a)))) | (~(mult(mult(a, a), mult(b, c)) = mult(a, mult(a, mult(b, c))))))))),
% 4.18/4.35 inference(rewrite,[status(thm)],[])).
% 4.18/4.35 tff(656,plain,
% 4.18/4.35 ((~![X0: $i, X1: $i, X2: $i] : ((~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X2, X1)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X1, X2)))))) | (~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X1, X2)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X2, X1)))))))) | ((~((~(mult(mult(a, mult(b, c)), a) = mult(a, mult(a, mult(b, c))))) | (~(mult(mult(a, a), mult(b, c)) = mult(a, mult(mult(b, c), a)))))) | (~((~(mult(mult(a, mult(b, c)), a) = mult(a, mult(mult(b, c), a)))) | (~(mult(mult(a, a), mult(b, c)) = mult(a, mult(a, mult(b, c))))))))),
% 4.18/4.35 inference(quant_inst,[status(thm)],[])).
% 4.18/4.35 tff(657,plain,
% 4.18/4.35 ((~![X0: $i, X1: $i, X2: $i] : ((~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X2, X1)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X1, X2)))))) | (~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X1, X2)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X2, X1)))))))) | (~((~(mult(mult(a, mult(b, c)), a) = mult(a, mult(a, mult(b, c))))) | (~(mult(mult(a, a), mult(b, c)) = mult(a, mult(mult(b, c), a)))))) | (~((~(mult(mult(a, mult(b, c)), a) = mult(a, mult(mult(b, c), a)))) | (~(mult(mult(a, a), mult(b, c)) = mult(a, mult(a, mult(b, c)))))))),
% 4.18/4.35 inference(modus_ponens,[status(thm)],[656, 655])).
% 4.18/4.35 tff(658,plain,
% 4.18/4.35 ((~((~(mult(mult(a, mult(b, c)), a) = mult(a, mult(a, mult(b, c))))) | (~(mult(mult(a, a), mult(b, c)) = mult(a, mult(mult(b, c), a)))))) | (~((~(mult(mult(a, mult(b, c)), a) = mult(a, mult(mult(b, c), a)))) | (~(mult(mult(a, a), mult(b, c)) = mult(a, mult(a, mult(b, c)))))))),
% 4.18/4.35 inference(unit_resolution,[status(thm)],[657, 30])).
% 4.18/4.35 tff(659,plain,
% 4.18/4.35 (~((~(mult(mult(a, mult(b, c)), a) = mult(a, mult(mult(b, c), a)))) | (~(mult(mult(a, a), mult(b, c)) = mult(a, mult(a, mult(b, c))))))),
% 4.18/4.35 inference(unit_resolution,[status(thm)],[658, 654])).
% 4.18/4.35 tff(660,plain,
% 4.18/4.35 (((~(mult(mult(a, mult(b, c)), a) = mult(a, mult(mult(b, c), a)))) | (~(mult(mult(a, a), mult(b, c)) = mult(a, mult(a, mult(b, c)))))) | (mult(mult(a, mult(b, c)), a) = mult(a, mult(mult(b, c), a)))),
% 4.18/4.35 inference(tautology,[status(thm)],[])).
% 4.18/4.35 tff(661,plain,
% 4.18/4.35 (mult(mult(a, mult(b, c)), a) = mult(a, mult(mult(b, c), a))),
% 4.18/4.35 inference(unit_resolution,[status(thm)],[660, 659])).
% 4.18/4.35 tff(662,plain,
% 4.18/4.35 (mult(a, mult(mult(b, c), a)) = mult(mult(a, mult(b, c)), a)),
% 4.18/4.35 inference(symmetry,[status(thm)],[661])).
% 4.18/4.35 tff(663,plain,
% 4.18/4.35 (mult(a, mult(b, mult(c, a))) = mult(a, mult(c, mult(a, b)))),
% 4.18/4.35 inference(transitivity,[status(thm)],[508, 662, 607, 592, 605])).
% 4.18/4.35 tff(664,plain,
% 4.18/4.35 (ld(a, mult(a, mult(b, mult(c, a)))) = ld(a, mult(a, mult(c, mult(a, b))))),
% 4.18/4.35 inference(monotonicity,[status(thm)],[663])).
% 4.18/4.35 tff(665,plain,
% 4.18/4.35 (ld(a, mult(a, mult(c, mult(a, b)))) = ld(a, mult(a, mult(b, mult(c, a))))),
% 4.18/4.35 inference(symmetry,[status(thm)],[664])).
% 4.18/4.35 tff(666,plain,
% 4.18/4.35 ((~![B: $i, A: $i] : (ld(A, mult(A, B)) = B)) | (ld(a, mult(a, mult(c, mult(a, b)))) = mult(c, mult(a, b)))),
% 4.18/4.35 inference(quant_inst,[status(thm)],[])).
% 4.18/4.35 tff(667,plain,
% 4.18/4.35 (ld(a, mult(a, mult(c, mult(a, b)))) = mult(c, mult(a, b))),
% 4.18/4.35 inference(unit_resolution,[status(thm)],[666, 9])).
% 4.18/4.35 tff(668,plain,
% 4.18/4.35 (mult(c, mult(a, b)) = ld(a, mult(a, mult(c, mult(a, b))))),
% 4.18/4.35 inference(symmetry,[status(thm)],[667])).
% 4.18/4.35 tff(669,plain,
% 4.18/4.35 ((~(mult(mult(mult(a, b), a), c) = mult(mult(a, b), mult(c, a)))) | (~(mult(mult(mult(a, b), c), a) = mult(mult(a, b), mult(a, c))))),
% 4.18/4.35 inference(unit_resolution,[status(thm)],[178, 632])).
% 4.18/4.35 tff(670,plain,
% 4.18/4.35 (~((~(mult(mult(mult(a, b), a), c) = mult(mult(a, b), mult(a, c)))) | (~(mult(mult(mult(a, b), c), a) = mult(mult(a, b), mult(c, a)))))),
% 4.18/4.35 inference(unit_resolution,[status(thm)],[183, 669])).
% 4.18/4.35 tff(671,plain,
% 4.18/4.35 (mult(mult(mult(a, b), c), a) = mult(mult(a, b), mult(c, a))),
% 4.18/4.35 inference(unit_resolution,[status(thm)],[185, 670])).
% 4.18/4.35 tff(672,plain,
% 4.18/4.35 ((mult(mult(a, b), mult(c, a)) = mult(a, mult(b, mult(c, a)))) <=> (mult(mult(mult(a, b), c), a) = mult(a, mult(b, mult(c, a))))),
% 4.18/4.35 inference(monotonicity,[status(thm)],[371])).
% 4.18/4.35 tff(673,plain,
% 4.18/4.35 ((mult(mult(a, b), mult(c, a)) = mult(a, mult(b, mult(c, a)))) <=> (mult(a, mult(b, mult(c, a))) = mult(mult(mult(a, b), c), a))),
% 4.18/4.35 inference(transitivity,[status(thm)],[672, 15])).
% 4.18/4.35 tff(674,plain,
% 4.18/4.35 ((mult(a, mult(b, mult(c, a))) = mult(mult(mult(a, b), c), a)) <=> (mult(mult(a, b), mult(c, a)) = mult(a, mult(b, mult(c, a))))),
% 4.18/4.35 inference(symmetry,[status(thm)],[673])).
% 4.18/4.35 tff(675,plain,
% 4.18/4.35 ((~(mult(a, mult(b, mult(c, a))) = mult(mult(mult(a, b), c), a))) <=> (~(mult(mult(a, b), mult(c, a)) = mult(a, mult(b, mult(c, a)))))),
% 4.18/4.35 inference(monotonicity,[status(thm)],[674])).
% 4.18/4.35 tff(676,plain,
% 4.18/4.35 (~(mult(mult(a, b), mult(c, a)) = mult(a, mult(b, mult(c, a))))),
% 4.18/4.35 inference(modus_ponens,[status(thm)],[194, 675])).
% 4.18/4.35 tff(677,plain,
% 4.18/4.35 ((~(mult(mult(a, b), mult(c, a)) = mult(a, mult(b, mult(c, a))))) | (~(mult(mult(a, mult(c, a)), b) = mult(a, mult(mult(c, a), b))))),
% 4.18/4.35 inference(unit_resolution,[status(thm)],[196, 676])).
% 4.18/4.35 tff(678,plain,
% 4.18/4.35 (~((~(mult(mult(a, b), mult(c, a)) = mult(a, mult(mult(c, a), b)))) | (~(mult(mult(a, mult(c, a)), b) = mult(a, mult(b, mult(c, a))))))),
% 4.18/4.35 inference(unit_resolution,[status(thm)],[201, 677])).
% 4.18/4.35 tff(679,plain,
% 4.18/4.35 (mult(mult(a, b), mult(c, a)) = mult(a, mult(mult(c, a), b))),
% 4.18/4.35 inference(unit_resolution,[status(thm)],[203, 678])).
% 4.18/4.35 tff(680,plain,
% 4.18/4.35 (mult(a, mult(mult(c, a), b)) = mult(mult(a, b), mult(c, a))),
% 4.18/4.35 inference(symmetry,[status(thm)],[679])).
% 4.18/4.35 tff(681,plain,
% 4.18/4.35 (mult(a, mult(mult(c, a), b)) = mult(a, mult(mult(a, b), c))),
% 4.18/4.35 inference(transitivity,[status(thm)],[680, 371, 107, 249, 111])).
% 4.18/4.35 tff(682,plain,
% 4.18/4.35 (ld(a, mult(a, mult(mult(c, a), b))) = ld(a, mult(a, mult(mult(a, b), c)))),
% 4.18/4.35 inference(monotonicity,[status(thm)],[681])).
% 4.18/4.35 tff(683,plain,
% 4.18/4.35 (mult(c, mult(a, b)) = mult(mult(a, b), c)),
% 4.18/4.35 inference(transitivity,[status(thm)],[271, 210, 682, 114])).
% 4.18/4.35 tff(684,plain,
% 4.18/4.35 (mult(a, mult(c, mult(a, b))) = mult(a, mult(mult(a, b), c))),
% 4.18/4.35 inference(monotonicity,[status(thm)],[683])).
% 4.18/4.35 tff(685,plain,
% 4.18/4.35 ((mult(mult(a, c), mult(a, b)) = mult(a, mult(c, mult(a, b)))) <=> (mult(mult(a, c), mult(a, b)) = mult(a, mult(mult(a, b), c)))),
% 4.18/4.35 inference(monotonicity,[status(thm)],[684])).
% 4.18/4.35 tff(686,assumption,(~(mult(mult(a, c), mult(a, b)) = mult(a, mult(mult(a, b), c)))), introduced(assumption)).
% 4.18/4.35 tff(687,plain,
% 4.18/4.35 ((~(mult(mult(a, mult(a, b)), c) = mult(a, mult(c, mult(a, b))))) | (~(mult(mult(a, c), mult(a, b)) = mult(a, mult(mult(a, b), c))))),
% 4.18/4.35 inference(unit_resolution,[status(thm)],[601, 686])).
% 4.18/4.35 tff(688,plain,
% 4.18/4.35 (~((~(mult(mult(a, mult(a, b)), c) = mult(a, mult(mult(a, b), c)))) | (~(mult(mult(a, c), mult(a, b)) = mult(a, mult(c, mult(a, b))))))),
% 4.18/4.35 inference(unit_resolution,[status(thm)],[292, 687])).
% 4.18/4.35 tff(689,plain,
% 4.18/4.35 (mult(mult(a, c), mult(a, b)) = mult(a, mult(c, mult(a, b)))),
% 4.18/4.35 inference(unit_resolution,[status(thm)],[604, 688])).
% 4.18/4.35 tff(690,plain,
% 4.18/4.35 (mult(mult(a, c), mult(a, b)) = mult(a, mult(mult(a, b), c))),
% 4.18/4.35 inference(modus_ponens,[status(thm)],[689, 685])).
% 4.18/4.35 tff(691,plain,
% 4.18/4.35 ($false),
% 4.18/4.35 inference(unit_resolution,[status(thm)],[686, 690])).
% 4.18/4.35 tff(692,plain,((mult(mult(a, c), mult(a, b)) = mult(a, mult(mult(a, b), c))) | (~(mult(mult(c, a), b) = mult(c, mult(a, b)))) | (~(mult(mult(mult(a, b), c), a) = mult(mult(a, b), mult(c, a)))) | (~(mult(mult(a, mult(c, b)), a) = mult(a, mult(a, mult(c, b))))) | (~(mult(mult(a, b), c) = mult(a, mult(c, b))))), inference(lemma,lemma(discharge,[]))).
% 4.18/4.35 tff(693,plain,
% 4.18/4.35 (~(mult(mult(c, a), b) = mult(c, mult(a, b)))),
% 4.18/4.35 inference(unit_resolution,[status(thm)],[692, 671, 600, 89, 91])).
% 4.18/4.35 tff(694,plain,
% 4.18/4.35 ((~(mult(mult(c, b), a) = mult(c, mult(b, a)))) | (~(mult(mult(c, a), b) = mult(c, mult(a, b))))),
% 4.18/4.35 inference(unit_resolution,[status(thm)],[296, 693])).
% 4.18/4.35 tff(695,plain,
% 4.18/4.35 (~((~(mult(mult(c, b), a) = mult(c, mult(a, b)))) | (~(mult(mult(c, a), b) = mult(c, mult(b, a)))))),
% 4.18/4.35 inference(unit_resolution,[status(thm)],[301, 694])).
% 4.18/4.35 tff(696,plain,
% 4.18/4.35 (mult(mult(c, b), a) = mult(c, mult(a, b))),
% 4.18/4.35 inference(unit_resolution,[status(thm)],[546, 695])).
% 4.18/4.35 tff(697,plain,
% 4.18/4.35 (mult(mult(c, b), a) = mult(mult(b, c), a)),
% 4.18/4.35 inference(transitivity,[status(thm)],[696, 668, 665, 77, 75])).
% 4.18/4.35 tff(698,plain,
% 4.18/4.35 (rd(mult(mult(c, b), a), a) = rd(mult(mult(b, c), a), a)),
% 4.18/4.35 inference(monotonicity,[status(thm)],[697])).
% 4.18/4.35 tff(699,plain,
% 4.18/4.35 (rd(mult(mult(b, c), a), a) = rd(mult(mult(c, b), a), a)),
% 4.18/4.35 inference(symmetry,[status(thm)],[698])).
% 4.18/4.35 tff(700,plain,
% 4.18/4.35 (mult(b, c) = rd(mult(mult(b, c), a), a)),
% 4.18/4.35 inference(symmetry,[status(thm)],[525])).
% 4.18/4.35 tff(701,plain,
% 4.18/4.35 (mult(b, c) = mult(c, b)),
% 4.18/4.35 inference(transitivity,[status(thm)],[700, 699, 74])).
% 4.18/4.35 tff(702,plain,
% 4.18/4.35 (mult(a, mult(b, c)) = mult(a, mult(c, b))),
% 4.18/4.35 inference(monotonicity,[status(thm)],[701])).
% 4.18/4.35 tff(703,plain,
% 4.18/4.35 (mult(mult(a, c), b) = mult(a, mult(c, b))),
% 4.18/4.35 inference(transitivity,[status(thm)],[97, 702])).
% 4.18/4.35 tff(704,plain,
% 4.18/4.35 ($false),
% 4.18/4.35 inference(unit_resolution,[status(thm)],[41, 703])).
% 4.18/4.35 tff(705,plain,((mult(mult(a, mult(c, b)), a) = mult(a, mult(mult(c, b), a))) | (mult(mult(a, c), b) = mult(a, mult(c, b))) | (mult(mult(b, a), c) = mult(b, mult(c, a)))), inference(lemma,lemma(discharge,[]))).
% 4.18/4.35 tff(706,plain,
% 4.18/4.35 (mult(mult(a, mult(c, b)), a) = mult(a, mult(mult(c, b), a))),
% 4.18/4.35 inference(unit_resolution,[status(thm)],[705, 41, 14])).
% 4.18/4.35 tff(707,assumption,(mult(mult(a, mult(c, b)), a) = mult(a, mult(mult(c, b), a))), introduced(assumption)).
% 4.18/4.35 tff(708,plain,
% 4.18/4.35 (mult(a, mult(mult(c, b), a)) = mult(mult(a, mult(c, b)), a)),
% 4.18/4.35 inference(symmetry,[status(thm)],[707])).
% 4.18/4.35 tff(709,plain,
% 4.18/4.35 (mult(a, mult(mult(c, b), a)) = mult(a, mult(mult(c, a), b))),
% 4.18/4.35 inference(transitivity,[status(thm)],[708, 260, 370, 378])).
% 4.18/4.35 tff(710,plain,
% 4.18/4.35 (ld(a, mult(a, mult(mult(c, b), a))) = ld(a, mult(a, mult(mult(c, a), b)))),
% 4.18/4.35 inference(monotonicity,[status(thm)],[709])).
% 4.18/4.35 tff(711,plain,
% 4.18/4.35 ((~![B: $i, A: $i] : (ld(A, mult(A, B)) = B)) | (ld(a, mult(a, mult(mult(c, b), a))) = mult(mult(c, b), a))),
% 4.18/4.35 inference(quant_inst,[status(thm)],[])).
% 4.18/4.36 tff(712,plain,
% 4.18/4.36 (ld(a, mult(a, mult(mult(c, b), a))) = mult(mult(c, b), a)),
% 4.18/4.36 inference(unit_resolution,[status(thm)],[711, 9])).
% 4.18/4.36 tff(713,plain,
% 4.18/4.36 (mult(mult(c, b), a) = ld(a, mult(a, mult(mult(c, b), a)))),
% 4.18/4.36 inference(symmetry,[status(thm)],[712])).
% 4.18/4.36 tff(714,plain,
% 4.18/4.36 (mult(mult(c, b), a) = mult(mult(c, a), b)),
% 4.18/4.36 inference(transitivity,[status(thm)],[713, 710, 209])).
% 4.18/4.36 tff(715,plain,
% 4.18/4.36 ((mult(mult(c, b), a) = mult(c, mult(b, a))) <=> (mult(mult(c, a), b) = mult(c, mult(b, a)))),
% 4.18/4.36 inference(monotonicity,[status(thm)],[714])).
% 4.18/4.36 tff(716,plain,
% 4.18/4.36 (mult(mult(c, b), a) = mult(c, mult(b, a))),
% 4.18/4.36 inference(unit_resolution,[status(thm)],[543, 420])).
% 4.18/4.36 tff(717,plain,
% 4.18/4.36 (mult(mult(c, a), b) = mult(c, mult(b, a))),
% 4.18/4.36 inference(modus_ponens,[status(thm)],[716, 715])).
% 4.18/4.36 tff(718,plain,
% 4.18/4.36 ($false),
% 4.18/4.36 inference(unit_resolution,[status(thm)],[40, 717])).
% 4.18/4.36 tff(719,plain,((mult(mult(c, a), b) = mult(c, mult(b, a))) | (~(mult(mult(a, mult(c, b)), a) = mult(a, mult(mult(c, b), a)))) | (~(mult(mult(mult(a, b), c), a) = mult(mult(a, b), mult(c, a)))) | (~(mult(mult(a, b), c) = mult(a, mult(c, b))))), inference(lemma,lemma(discharge,[]))).
% 4.18/4.36 tff(720,plain,
% 4.18/4.36 (~(mult(mult(mult(a, b), c), a) = mult(mult(a, b), mult(c, a)))),
% 4.18/4.36 inference(unit_resolution,[status(thm)],[719, 91, 706, 40])).
% 4.18/4.36 tff(721,plain,
% 4.18/4.36 ((~(mult(mult(mult(a, b), a), c) = mult(mult(a, b), mult(a, c)))) | (~(mult(mult(mult(a, b), c), a) = mult(mult(a, b), mult(c, a))))),
% 4.18/4.36 inference(unit_resolution,[status(thm)],[185, 720])).
% 4.18/4.36 tff(722,plain,
% 4.18/4.36 (~((~(mult(mult(mult(a, b), a), c) = mult(mult(a, b), mult(c, a)))) | (~(mult(mult(mult(a, b), c), a) = mult(mult(a, b), mult(a, c)))))),
% 4.18/4.36 inference(unit_resolution,[status(thm)],[183, 721])).
% 4.18/4.36 tff(723,plain,
% 4.18/4.36 (mult(mult(mult(a, b), c), a) = mult(mult(a, b), mult(a, c))),
% 4.18/4.36 inference(unit_resolution,[status(thm)],[178, 722])).
% 4.18/4.36 tff(724,plain,
% 4.18/4.36 ((mult(mult(b, c), a) = mult(b, mult(a, c))) <=> (mult(b, mult(c, a)) = mult(b, mult(a, c)))),
% 4.18/4.36 inference(monotonicity,[status(thm)],[37])).
% 4.18/4.36 tff(725,plain,
% 4.18/4.36 ((mult(b, mult(c, a)) = mult(b, mult(a, c))) <=> (mult(mult(b, c), a) = mult(b, mult(a, c)))),
% 4.18/4.36 inference(symmetry,[status(thm)],[724])).
% 4.18/4.36 tff(726,plain,
% 4.18/4.36 ((~(mult(b, mult(c, a)) = mult(b, mult(a, c)))) <=> (~(mult(mult(b, c), a) = mult(b, mult(a, c))))),
% 4.18/4.36 inference(monotonicity,[status(thm)],[725])).
% 4.18/4.36 tff(727,plain,
% 4.18/4.36 ((mult(b, mult(a, c)) = mult(b, mult(c, a))) <=> (mult(b, mult(c, a)) = mult(b, mult(a, c)))),
% 4.18/4.36 inference(commutativity,[status(thm)],[])).
% 4.18/4.36 tff(728,plain,
% 4.18/4.36 ((mult(mult(b, a), c) = mult(b, mult(c, a))) <=> (mult(b, mult(a, c)) = mult(b, mult(c, a)))),
% 4.18/4.36 inference(monotonicity,[status(thm)],[99])).
% 4.18/4.36 tff(729,plain,
% 4.18/4.36 ((mult(mult(b, a), c) = mult(b, mult(c, a))) <=> (mult(b, mult(c, a)) = mult(b, mult(a, c)))),
% 4.18/4.36 inference(transitivity,[status(thm)],[728, 727])).
% 4.18/4.36 tff(730,plain,
% 4.18/4.36 ((~(mult(mult(b, a), c) = mult(b, mult(c, a)))) <=> (~(mult(b, mult(c, a)) = mult(b, mult(a, c))))),
% 4.18/4.36 inference(monotonicity,[status(thm)],[729])).
% 4.18/4.36 tff(731,plain,
% 4.18/4.36 (~(mult(b, mult(c, a)) = mult(b, mult(a, c)))),
% 4.18/4.36 inference(modus_ponens,[status(thm)],[14, 730])).
% 4.18/4.36 tff(732,plain,
% 4.18/4.36 (~(mult(mult(b, c), a) = mult(b, mult(a, c)))),
% 4.18/4.36 inference(modus_ponens,[status(thm)],[731, 726])).
% 4.18/4.36 tff(733,assumption,(~(mult(mult(a, mult(c, a)), b) = mult(a, mult(b, mult(c, a))))), introduced(assumption)).
% 4.18/4.36 tff(734,assumption,(~(mult(mult(b, c), a) = mult(b, mult(a, c)))), introduced(assumption)).
% 4.18/4.36 tff(735,plain,
% 4.18/4.36 (((~(mult(mult(a, b), mult(c, a)) = mult(a, mult(mult(c, a), b)))) | (~(mult(mult(a, mult(c, a)), b) = mult(a, mult(b, mult(c, a)))))) | (mult(mult(a, mult(c, a)), b) = mult(a, mult(b, mult(c, a))))),
% 4.18/4.36 inference(tautology,[status(thm)],[])).
% 4.18/4.36 tff(736,plain,
% 4.18/4.36 ((~(mult(mult(a, b), mult(c, a)) = mult(a, mult(mult(c, a), b)))) | (~(mult(mult(a, mult(c, a)), b) = mult(a, mult(b, mult(c, a)))))),
% 4.18/4.36 inference(unit_resolution,[status(thm)],[735, 733])).
% 4.18/4.36 tff(737,plain,
% 4.18/4.36 (~((~(mult(mult(a, b), mult(c, a)) = mult(a, mult(b, mult(c, a))))) | (~(mult(mult(a, mult(c, a)), b) = mult(a, mult(mult(c, a), b)))))),
% 4.18/4.36 inference(unit_resolution,[status(thm)],[201, 736])).
% 4.18/4.36 tff(738,plain,
% 4.18/4.36 (mult(mult(a, b), mult(c, a)) = mult(a, mult(b, mult(c, a)))),
% 4.18/4.36 inference(unit_resolution,[status(thm)],[196, 737])).
% 4.18/4.36 tff(739,plain,
% 4.18/4.36 (((~(mult(mult(a, b), mult(c, a)) = mult(a, mult(b, mult(c, a))))) | (~(mult(mult(a, mult(c, a)), b) = mult(a, mult(mult(c, a), b))))) | (mult(mult(a, mult(c, a)), b) = mult(a, mult(mult(c, a), b)))),
% 4.18/4.36 inference(tautology,[status(thm)],[])).
% 4.18/4.36 tff(740,plain,
% 4.18/4.36 (mult(mult(a, mult(c, a)), b) = mult(a, mult(mult(c, a), b))),
% 4.18/4.36 inference(unit_resolution,[status(thm)],[739, 737])).
% 4.18/4.36 tff(741,plain,
% 4.18/4.36 ((mult(a, mult(mult(b, c), a)) = mult(mult(a, a), mult(b, c))) <=> (mult(mult(a, a), mult(b, c)) = mult(a, mult(mult(b, c), a)))),
% 4.18/4.36 inference(commutativity,[status(thm)],[])).
% 4.18/4.36 tff(742,assumption,(mult(mult(a, mult(c, a)), b) = mult(a, mult(mult(c, a), b))), introduced(assumption)).
% 4.18/4.36 tff(743,plain,
% 4.18/4.36 ((mult(b, mult(c, a)) = mult(mult(b, a), c)) <=> (mult(mult(b, a), c) = mult(b, mult(c, a)))),
% 4.18/4.36 inference(commutativity,[status(thm)],[])).
% 4.18/4.36 tff(744,plain,
% 4.18/4.36 (((~(mult(mult(b, c), a) = mult(b, mult(a, c)))) | (~(mult(mult(b, a), c) = mult(b, mult(c, a))))) | (mult(mult(b, c), a) = mult(b, mult(a, c)))),
% 4.18/4.36 inference(tautology,[status(thm)],[])).
% 4.18/4.36 tff(745,plain,
% 4.18/4.36 ((~(mult(mult(b, c), a) = mult(b, mult(a, c)))) | (~(mult(mult(b, a), c) = mult(b, mult(c, a))))),
% 4.18/4.36 inference(unit_resolution,[status(thm)],[744, 734])).
% 4.18/4.36 tff(746,plain,
% 4.18/4.36 (~((~(mult(mult(b, c), a) = mult(b, mult(c, a)))) | (~(mult(mult(b, a), c) = mult(b, mult(a, c)))))),
% 4.18/4.36 inference(unit_resolution,[status(thm)],[34, 745])).
% 4.18/4.36 tff(747,plain,
% 4.18/4.36 (mult(mult(b, a), c) = mult(b, mult(a, c))),
% 4.18/4.36 inference(unit_resolution,[status(thm)],[98, 746])).
% 4.18/4.36 tff(748,plain,
% 4.18/4.36 (mult(b, mult(a, c)) = mult(mult(b, a), c)),
% 4.18/4.36 inference(symmetry,[status(thm)],[747])).
% 4.18/4.36 tff(749,plain,
% 4.18/4.36 (mult(mult(b, c), a) = mult(b, mult(c, a))),
% 4.18/4.36 inference(unit_resolution,[status(thm)],[36, 746])).
% 4.18/4.36 tff(750,plain,
% 4.18/4.36 ((mult(mult(b, c), a) = mult(b, mult(a, c))) <=> (mult(b, mult(c, a)) = mult(mult(b, a), c))),
% 4.18/4.36 inference(monotonicity,[status(thm)],[749, 748])).
% 4.18/4.36 tff(751,plain,
% 4.18/4.36 ((mult(mult(b, c), a) = mult(b, mult(a, c))) <=> (mult(mult(b, a), c) = mult(b, mult(c, a)))),
% 4.18/4.36 inference(transitivity,[status(thm)],[750, 743])).
% 4.18/4.36 tff(752,plain,
% 4.18/4.36 ((~(mult(mult(b, c), a) = mult(b, mult(a, c)))) <=> (~(mult(mult(b, a), c) = mult(b, mult(c, a))))),
% 4.18/4.36 inference(monotonicity,[status(thm)],[751])).
% 4.18/4.36 tff(753,plain,
% 4.18/4.36 (~(mult(mult(b, a), c) = mult(b, mult(c, a)))),
% 4.18/4.36 inference(modus_ponens,[status(thm)],[734, 752])).
% 4.18/4.36 tff(754,assumption,(mult(mult(a, b), mult(c, a)) = mult(a, mult(b, mult(c, a)))), introduced(assumption)).
% 4.18/4.36 tff(755,assumption,(~((~(mult(mult(a, c), b) = mult(a, mult(c, b)))) | (~(mult(mult(a, b), c) = mult(a, mult(b, c)))))), introduced(assumption)).
% 4.18/4.36 tff(756,plain,
% 4.18/4.36 (((~(mult(mult(a, c), b) = mult(a, mult(c, b)))) | (~(mult(mult(a, b), c) = mult(a, mult(b, c))))) | (mult(mult(a, b), c) = mult(a, mult(b, c)))),
% 4.18/4.36 inference(tautology,[status(thm)],[])).
% 4.18/4.36 tff(757,plain,
% 4.18/4.36 (mult(mult(a, b), c) = mult(a, mult(b, c))),
% 4.18/4.36 inference(unit_resolution,[status(thm)],[756, 755])).
% 4.18/4.36 tff(758,plain,
% 4.18/4.36 (mult(a, mult(b, c)) = mult(mult(a, b), c)),
% 4.18/4.36 inference(symmetry,[status(thm)],[757])).
% 4.18/4.36 tff(759,plain,
% 4.18/4.36 (mult(mult(a, mult(b, c)), a) = mult(mult(mult(a, b), c), a)),
% 4.18/4.36 inference(monotonicity,[status(thm)],[758])).
% 4.18/4.36 tff(760,plain,
% 4.18/4.36 ((mult(mult(a, mult(b, c)), a) = mult(a, mult(mult(b, c), a))) <=> (mult(mult(mult(a, b), c), a) = mult(a, mult(b, mult(c, a))))),
% 4.18/4.36 inference(monotonicity,[status(thm)],[759, 103])).
% 4.18/4.36 tff(761,plain,
% 4.18/4.36 ((mult(mult(a, mult(b, c)), a) = mult(a, mult(mult(b, c), a))) <=> (mult(a, mult(b, mult(c, a))) = mult(mult(mult(a, b), c), a))),
% 4.18/4.36 inference(transitivity,[status(thm)],[760, 15])).
% 4.18/4.36 tff(762,plain,
% 4.18/4.36 ((mult(a, mult(b, mult(c, a))) = mult(mult(mult(a, b), c), a)) <=> (mult(mult(a, mult(b, c)), a) = mult(a, mult(mult(b, c), a)))),
% 4.18/4.36 inference(symmetry,[status(thm)],[761])).
% 4.18/4.36 tff(763,plain,
% 4.18/4.36 ((~(mult(a, mult(b, mult(c, a))) = mult(mult(mult(a, b), c), a))) <=> (~(mult(mult(a, mult(b, c)), a) = mult(a, mult(mult(b, c), a))))),
% 4.18/4.36 inference(monotonicity,[status(thm)],[762])).
% 4.18/4.36 tff(764,plain,
% 4.18/4.36 (~(mult(mult(a, mult(b, c)), a) = mult(a, mult(mult(b, c), a)))),
% 4.18/4.36 inference(modus_ponens,[status(thm)],[194, 763])).
% 4.18/4.36 tff(765,plain,
% 4.18/4.36 ((~(mult(mult(a, mult(b, c)), a) = mult(a, mult(mult(b, c), a)))) | (~(mult(mult(a, a), mult(b, c)) = mult(a, mult(a, mult(b, c)))))),
% 4.18/4.36 inference(unit_resolution,[status(thm)],[660, 764])).
% 4.18/4.36 tff(766,plain,
% 4.18/4.36 (~((~(mult(mult(a, mult(b, c)), a) = mult(a, mult(a, mult(b, c))))) | (~(mult(mult(a, a), mult(b, c)) = mult(a, mult(mult(b, c), a)))))),
% 4.18/4.36 inference(unit_resolution,[status(thm)],[658, 765])).
% 4.18/4.36 tff(767,plain,
% 4.18/4.36 (mult(mult(a, a), mult(b, c)) = mult(a, mult(mult(b, c), a))),
% 4.18/4.36 inference(unit_resolution,[status(thm)],[653, 766])).
% 4.18/4.36 tff(768,plain,
% 4.18/4.36 (mult(mult(a, c), b) = mult(a, mult(c, b))),
% 4.18/4.36 inference(unit_resolution,[status(thm)],[42, 755])).
% 4.18/4.36 tff(769,plain,
% 4.18/4.36 ((mult(mult(mult(a, b), c), a) = mult(mult(a, b), mult(c, a))) <=> (mult(mult(mult(a, b), c), a) = mult(a, mult(b, mult(c, a))))),
% 4.18/4.36 inference(monotonicity,[status(thm)],[754])).
% 4.18/4.36 tff(770,plain,
% 4.18/4.36 ((mult(mult(mult(a, b), c), a) = mult(mult(a, b), mult(c, a))) <=> (mult(a, mult(b, mult(c, a))) = mult(mult(mult(a, b), c), a))),
% 4.18/4.36 inference(transitivity,[status(thm)],[769, 15])).
% 4.18/4.36 tff(771,plain,
% 4.18/4.36 ((mult(a, mult(b, mult(c, a))) = mult(mult(mult(a, b), c), a)) <=> (mult(mult(mult(a, b), c), a) = mult(mult(a, b), mult(c, a)))),
% 4.18/4.36 inference(symmetry,[status(thm)],[770])).
% 4.18/4.36 tff(772,plain,
% 4.18/4.36 ((~(mult(a, mult(b, mult(c, a))) = mult(mult(mult(a, b), c), a))) <=> (~(mult(mult(mult(a, b), c), a) = mult(mult(a, b), mult(c, a))))),
% 4.18/4.36 inference(monotonicity,[status(thm)],[771])).
% 4.18/4.36 tff(773,plain,
% 4.18/4.36 (~(mult(mult(mult(a, b), c), a) = mult(mult(a, b), mult(c, a)))),
% 4.18/4.36 inference(modus_ponens,[status(thm)],[194, 772])).
% 4.18/4.36 tff(774,plain,
% 4.18/4.36 ((~(mult(mult(mult(a, b), a), c) = mult(mult(a, b), mult(a, c)))) | (~(mult(mult(mult(a, b), c), a) = mult(mult(a, b), mult(c, a))))),
% 4.18/4.36 inference(unit_resolution,[status(thm)],[185, 773])).
% 4.18/4.36 tff(775,plain,
% 4.18/4.36 (~((~(mult(mult(mult(a, b), a), c) = mult(mult(a, b), mult(c, a)))) | (~(mult(mult(mult(a, b), c), a) = mult(mult(a, b), mult(a, c)))))),
% 4.18/4.36 inference(unit_resolution,[status(thm)],[183, 774])).
% 4.18/4.36 tff(776,plain,
% 4.18/4.36 (mult(mult(mult(a, b), c), a) = mult(mult(a, b), mult(a, c))),
% 4.18/4.36 inference(unit_resolution,[status(thm)],[178, 775])).
% 4.18/4.36 tff(777,plain,
% 4.18/4.36 (mult(a, mult(b, c)) = mult(mult(a, b), c)),
% 4.18/4.36 inference(symmetry,[status(thm)],[59])).
% 4.18/4.36 tff(778,plain,
% 4.18/4.36 (mult(mult(a, mult(b, c)), a) = mult(mult(mult(a, b), c), a)),
% 4.18/4.36 inference(monotonicity,[status(thm)],[777])).
% 4.18/4.36 tff(779,plain,
% 4.18/4.36 ((mult(mult(a, mult(b, c)), a) = mult(a, mult(mult(b, c), a))) <=> (mult(mult(mult(a, b), c), a) = mult(a, mult(b, mult(c, a))))),
% 4.18/4.36 inference(monotonicity,[status(thm)],[778, 103])).
% 4.18/4.36 tff(780,plain,
% 4.18/4.36 ((mult(mult(a, mult(b, c)), a) = mult(a, mult(mult(b, c), a))) <=> (mult(a, mult(b, mult(c, a))) = mult(mult(mult(a, b), c), a))),
% 4.18/4.36 inference(transitivity,[status(thm)],[779, 15])).
% 4.18/4.36 tff(781,plain,
% 4.18/4.36 ((mult(a, mult(b, mult(c, a))) = mult(mult(mult(a, b), c), a)) <=> (mult(mult(a, mult(b, c)), a) = mult(a, mult(mult(b, c), a)))),
% 4.18/4.36 inference(symmetry,[status(thm)],[780])).
% 4.18/4.36 tff(782,plain,
% 4.18/4.36 ((~(mult(a, mult(b, mult(c, a))) = mult(mult(mult(a, b), c), a))) <=> (~(mult(mult(a, mult(b, c)), a) = mult(a, mult(mult(b, c), a))))),
% 4.18/4.36 inference(monotonicity,[status(thm)],[781])).
% 4.18/4.36 tff(783,plain,
% 4.18/4.36 (~(mult(mult(a, mult(b, c)), a) = mult(a, mult(mult(b, c), a)))),
% 4.18/4.36 inference(modus_ponens,[status(thm)],[194, 782])).
% 4.18/4.36 tff(784,plain,
% 4.18/4.36 ((~(mult(mult(a, mult(b, c)), a) = mult(a, mult(mult(b, c), a)))) | (~(mult(mult(a, a), mult(b, c)) = mult(a, mult(a, mult(b, c)))))),
% 4.18/4.36 inference(unit_resolution,[status(thm)],[660, 783])).
% 4.18/4.36 tff(785,plain,
% 4.18/4.36 (~((~(mult(mult(a, mult(b, c)), a) = mult(a, mult(a, mult(b, c))))) | (~(mult(mult(a, a), mult(b, c)) = mult(a, mult(mult(b, c), a)))))),
% 4.18/4.36 inference(unit_resolution,[status(thm)],[658, 784])).
% 4.18/4.36 tff(786,plain,
% 4.18/4.36 (((~(mult(mult(a, mult(b, c)), a) = mult(a, mult(a, mult(b, c))))) | (~(mult(mult(a, a), mult(b, c)) = mult(a, mult(mult(b, c), a))))) | (mult(mult(a, mult(b, c)), a) = mult(a, mult(a, mult(b, c))))),
% 4.18/4.36 inference(tautology,[status(thm)],[])).
% 4.18/4.36 tff(787,plain,
% 4.18/4.36 (mult(mult(a, mult(b, c)), a) = mult(a, mult(a, mult(b, c)))),
% 4.18/4.36 inference(unit_resolution,[status(thm)],[786, 785])).
% 4.18/4.36 tff(788,assumption,(mult(mult(a, c), b) = mult(a, mult(c, b))), introduced(assumption)).
% 4.18/4.36 tff(789,assumption,(mult(mult(mult(a, a), c), b) = mult(mult(a, a), mult(c, b))), introduced(assumption)).
% 4.18/4.36 tff(790,plain,
% 4.18/4.36 (mult(mult(a, a), mult(b, c)) = mult(a, mult(mult(b, c), a))),
% 4.18/4.36 inference(unit_resolution,[status(thm)],[653, 785])).
% 4.18/4.36 tff(791,plain,
% 4.18/4.36 (mult(a, mult(mult(a, b), c)) = mult(a, mult(a, mult(b, c)))),
% 4.18/4.36 inference(monotonicity,[status(thm)],[59])).
% 4.18/4.36 tff(792,plain,
% 4.18/4.36 (mult(a, mult(a, mult(b, c))) = mult(a, mult(mult(a, b), c))),
% 4.18/4.36 inference(symmetry,[status(thm)],[791])).
% 4.18/4.36 tff(793,plain,
% 4.18/4.36 (mult(mult(mult(a, b), c), a) = mult(mult(a, mult(b, c)), a)),
% 4.18/4.36 inference(symmetry,[status(thm)],[778])).
% 4.18/4.36 tff(794,assumption,(~((~(mult(mult(a, mult(a, c)), b) = mult(a, mult(b, mult(a, c))))) | (~(mult(mult(a, b), mult(a, c)) = mult(a, mult(mult(a, c), b)))))), introduced(assumption)).
% 4.18/4.36 tff(795,plain,
% 4.18/4.36 (mult(mult(a, b), mult(a, c)) = mult(a, mult(mult(a, c), b))),
% 4.18/4.36 inference(unit_resolution,[status(thm)],[138, 794])).
% 4.18/4.36 tff(796,plain,
% 4.18/4.36 (mult(a, mult(mult(a, c), b)) = mult(mult(a, b), mult(a, c))),
% 4.18/4.36 inference(symmetry,[status(thm)],[795])).
% 4.18/4.36 tff(797,plain,
% 4.18/4.36 (mult(a, mult(c, b)) = mult(mult(a, c), b)),
% 4.18/4.36 inference(symmetry,[status(thm)],[788])).
% 4.18/4.36 tff(798,plain,
% 4.18/4.36 (mult(a, mult(a, mult(c, b))) = mult(a, mult(mult(a, c), b))),
% 4.18/4.36 inference(monotonicity,[status(thm)],[797])).
% 4.18/4.36 tff(799,plain,
% 4.18/4.36 (mult(a, mult(a, mult(c, b))) = mult(a, mult(mult(a, b), c))),
% 4.18/4.36 inference(transitivity,[status(thm)],[798, 796, 403, 793, 787, 792])).
% 4.18/4.36 tff(800,plain,
% 4.18/4.36 (ld(a, mult(a, mult(a, mult(c, b)))) = ld(a, mult(a, mult(mult(a, b), c)))),
% 4.18/4.36 inference(monotonicity,[status(thm)],[799])).
% 4.18/4.36 tff(801,plain,
% 4.18/4.36 ((~![B: $i, A: $i] : (ld(A, mult(A, B)) = B)) | (ld(a, mult(a, mult(a, mult(c, b)))) = mult(a, mult(c, b)))),
% 4.18/4.36 inference(quant_inst,[status(thm)],[])).
% 4.18/4.36 tff(802,plain,
% 4.18/4.36 (ld(a, mult(a, mult(a, mult(c, b)))) = mult(a, mult(c, b))),
% 4.18/4.36 inference(unit_resolution,[status(thm)],[801, 9])).
% 4.18/4.36 tff(803,plain,
% 4.18/4.36 (mult(a, mult(c, b)) = ld(a, mult(a, mult(a, mult(c, b))))),
% 4.18/4.36 inference(symmetry,[status(thm)],[802])).
% 4.18/4.36 tff(804,plain,
% 4.18/4.36 (mult(a, mult(c, b)) = mult(a, mult(b, c))),
% 4.18/4.36 inference(transitivity,[status(thm)],[803, 800, 114, 59])).
% 4.18/4.36 tff(805,plain,
% 4.18/4.36 (ld(a, mult(a, mult(c, b))) = ld(a, mult(a, mult(b, c)))),
% 4.18/4.36 inference(monotonicity,[status(thm)],[804])).
% 4.18/4.36 tff(806,plain,
% 4.18/4.36 ((~![B: $i, A: $i] : (ld(A, mult(A, B)) = B)) | (ld(a, mult(a, mult(c, b))) = mult(c, b))),
% 4.18/4.36 inference(quant_inst,[status(thm)],[])).
% 4.18/4.36 tff(807,plain,
% 4.18/4.36 (ld(a, mult(a, mult(c, b))) = mult(c, b)),
% 4.18/4.36 inference(unit_resolution,[status(thm)],[806, 9])).
% 4.18/4.36 tff(808,plain,
% 4.18/4.36 (mult(c, b) = ld(a, mult(a, mult(c, b)))),
% 4.18/4.36 inference(symmetry,[status(thm)],[807])).
% 4.18/4.36 tff(809,plain,
% 4.18/4.36 (mult(c, b) = mult(b, c)),
% 4.18/4.36 inference(transitivity,[status(thm)],[808, 805, 39])).
% 4.18/4.36 tff(810,plain,
% 4.18/4.36 (mult(mult(a, a), mult(c, b)) = mult(mult(a, a), mult(b, c))),
% 4.18/4.36 inference(monotonicity,[status(thm)],[809])).
% 4.18/4.36 tff(811,plain,
% 4.18/4.36 (mult(a, mult(mult(a, c), b)) = mult(mult(a, b), mult(a, c))),
% 4.18/4.36 inference(symmetry,[status(thm)],[167])).
% 4.18/4.36 tff(812,plain,
% 4.18/4.36 (mult(a, mult(a, mult(c, b))) = mult(a, mult(mult(a, b), c))),
% 4.18/4.36 inference(transitivity,[status(thm)],[798, 811, 403, 793, 787, 792])).
% 4.18/4.36 tff(813,plain,
% 4.18/4.36 (ld(a, mult(a, mult(a, mult(c, b)))) = ld(a, mult(a, mult(mult(a, b), c)))),
% 4.18/4.36 inference(monotonicity,[status(thm)],[812])).
% 4.18/4.36 tff(814,plain,
% 4.18/4.36 (mult(a, mult(c, b)) = mult(a, mult(b, c))),
% 4.18/4.36 inference(transitivity,[status(thm)],[803, 813, 114, 59])).
% 4.18/4.36 tff(815,plain,
% 4.18/4.36 (ld(a, mult(a, mult(c, b))) = ld(a, mult(a, mult(b, c)))),
% 4.18/4.36 inference(monotonicity,[status(thm)],[814])).
% 4.18/4.36 tff(816,plain,
% 4.18/4.36 (mult(c, b) = mult(b, c)),
% 4.18/4.36 inference(transitivity,[status(thm)],[808, 815, 39])).
% 4.18/4.36 tff(817,plain,
% 4.18/4.36 (mult(mult(a, a), mult(c, b)) = mult(mult(a, a), mult(b, c))),
% 4.18/4.36 inference(monotonicity,[status(thm)],[816])).
% 4.18/4.36 tff(818,assumption,(mult(mult(a, a), c) = mult(a, mult(c, a))), introduced(assumption)).
% 4.18/4.36 tff(819,plain,
% 4.18/4.36 (mult(a, mult(c, a)) = mult(mult(a, a), c)),
% 4.18/4.36 inference(symmetry,[status(thm)],[818])).
% 4.18/4.36 tff(820,plain,
% 4.18/4.36 (mult(mult(a, mult(c, a)), b) = mult(mult(mult(a, a), c), b)),
% 4.18/4.36 inference(monotonicity,[status(thm)],[819])).
% 4.18/4.36 tff(821,plain,
% 4.18/4.36 (mult(mult(a, mult(c, a)), b) = mult(a, mult(b, mult(c, a)))),
% 4.18/4.36 inference(transitivity,[status(thm)],[820, 789, 817, 790, 103])).
% 4.18/4.36 tff(822,plain,
% 4.18/4.36 ($false),
% 4.18/4.36 inference(unit_resolution,[status(thm)],[733, 821])).
% 4.18/4.36 tff(823,plain,((~(mult(mult(a, a), c) = mult(a, mult(c, a)))) | (mult(mult(a, mult(c, a)), b) = mult(a, mult(b, mult(c, a)))) | (~(mult(mult(mult(a, a), c), b) = mult(mult(a, a), mult(c, b)))) | (~(mult(mult(b, c), a) = mult(b, mult(c, a)))) | (~(mult(mult(a, b), c) = mult(a, mult(b, c)))) | (~(mult(mult(mult(a, b), c), a) = mult(mult(a, b), mult(a, c)))) | (~(mult(mult(a, b), mult(a, c)) = mult(a, mult(mult(a, c), b)))) | (~(mult(mult(a, c), b) = mult(a, mult(c, b))))), inference(lemma,lemma(discharge,[]))).
% 4.18/4.36 tff(824,plain,
% 4.18/4.36 (~(mult(mult(a, a), c) = mult(a, mult(c, a)))),
% 4.18/4.36 inference(unit_resolution,[status(thm)],[823, 795, 789, 102, 59, 168, 733, 788])).
% 4.18/4.36 tff(825,plain,
% 4.18/4.36 (((~(mult(mult(a, c), a) = mult(a, mult(a, c)))) | (~(mult(mult(a, a), c) = mult(a, mult(c, a))))) | (mult(mult(a, a), c) = mult(a, mult(c, a)))),
% 4.18/4.36 inference(tautology,[status(thm)],[])).
% 4.18/4.36 tff(826,plain,
% 4.18/4.36 ((~(mult(mult(a, c), a) = mult(a, mult(a, c)))) | (~(mult(mult(a, a), c) = mult(a, mult(c, a))))),
% 4.18/4.36 inference(unit_resolution,[status(thm)],[825, 824])).
% 4.18/4.36 tff(827,plain,
% 4.18/4.36 (((~![X0: $i, X1: $i, X2: $i] : ((~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X2, X1)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X1, X2)))))) | (~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X1, X2)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X2, X1)))))))) | ((~((~(mult(mult(a, c), a) = mult(a, mult(a, c)))) | (~(mult(mult(a, a), c) = mult(a, mult(c, a)))))) | (~((~(mult(mult(a, c), a) = mult(a, mult(c, a)))) | (~(mult(mult(a, a), c) = mult(a, mult(a, c)))))))) <=> ((~![X0: $i, X1: $i, X2: $i] : ((~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X2, X1)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X1, X2)))))) | (~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X1, X2)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X2, X1)))))))) | (~((~(mult(mult(a, c), a) = mult(a, mult(a, c)))) | (~(mult(mult(a, a), c) = mult(a, mult(c, a)))))) | (~((~(mult(mult(a, c), a) = mult(a, mult(c, a)))) | (~(mult(mult(a, a), c) = mult(a, mult(a, c)))))))),
% 4.18/4.36 inference(rewrite,[status(thm)],[])).
% 4.18/4.36 tff(828,plain,
% 4.18/4.36 ((~![X0: $i, X1: $i, X2: $i] : ((~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X2, X1)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X1, X2)))))) | (~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X1, X2)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X2, X1)))))))) | ((~((~(mult(mult(a, c), a) = mult(a, mult(a, c)))) | (~(mult(mult(a, a), c) = mult(a, mult(c, a)))))) | (~((~(mult(mult(a, c), a) = mult(a, mult(c, a)))) | (~(mult(mult(a, a), c) = mult(a, mult(a, c)))))))),
% 4.18/4.37 inference(quant_inst,[status(thm)],[])).
% 4.18/4.37 tff(829,plain,
% 4.18/4.37 ((~![X0: $i, X1: $i, X2: $i] : ((~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X2, X1)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X1, X2)))))) | (~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X1, X2)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X2, X1)))))))) | (~((~(mult(mult(a, c), a) = mult(a, mult(a, c)))) | (~(mult(mult(a, a), c) = mult(a, mult(c, a)))))) | (~((~(mult(mult(a, c), a) = mult(a, mult(c, a)))) | (~(mult(mult(a, a), c) = mult(a, mult(a, c))))))),
% 4.18/4.37 inference(modus_ponens,[status(thm)],[828, 827])).
% 4.18/4.37 tff(830,plain,
% 4.18/4.37 ((~((~(mult(mult(a, c), a) = mult(a, mult(a, c)))) | (~(mult(mult(a, a), c) = mult(a, mult(c, a)))))) | (~((~(mult(mult(a, c), a) = mult(a, mult(c, a)))) | (~(mult(mult(a, a), c) = mult(a, mult(a, c))))))),
% 4.18/4.37 inference(unit_resolution,[status(thm)],[829, 30])).
% 4.18/4.37 tff(831,plain,
% 4.18/4.37 (~((~(mult(mult(a, c), a) = mult(a, mult(c, a)))) | (~(mult(mult(a, a), c) = mult(a, mult(a, c)))))),
% 4.18/4.37 inference(unit_resolution,[status(thm)],[830, 826])).
% 4.18/4.37 tff(832,plain,
% 4.18/4.37 (((~(mult(mult(a, c), a) = mult(a, mult(c, a)))) | (~(mult(mult(a, a), c) = mult(a, mult(a, c))))) | (mult(mult(a, a), c) = mult(a, mult(a, c)))),
% 4.18/4.37 inference(tautology,[status(thm)],[])).
% 4.18/4.37 tff(833,plain,
% 4.18/4.37 (mult(mult(a, a), c) = mult(a, mult(a, c))),
% 4.18/4.37 inference(unit_resolution,[status(thm)],[832, 831])).
% 4.18/4.37 tff(834,plain,
% 4.18/4.37 (mult(a, mult(a, c)) = mult(mult(a, a), c)),
% 4.18/4.37 inference(symmetry,[status(thm)],[833])).
% 4.18/4.37 tff(835,plain,
% 4.18/4.37 (mult(mult(a, mult(a, c)), b) = mult(mult(mult(a, a), c), b)),
% 4.18/4.37 inference(monotonicity,[status(thm)],[834])).
% 4.18/4.37 tff(836,plain,
% 4.18/4.37 (((~(mult(mult(a, mult(a, c)), b) = mult(a, mult(b, mult(a, c))))) | (~(mult(mult(a, b), mult(a, c)) = mult(a, mult(mult(a, c), b))))) | (mult(mult(a, mult(a, c)), b) = mult(a, mult(b, mult(a, c))))),
% 4.18/4.37 inference(tautology,[status(thm)],[])).
% 4.18/4.37 tff(837,plain,
% 4.18/4.37 (mult(mult(a, mult(a, c)), b) = mult(a, mult(b, mult(a, c)))),
% 4.18/4.37 inference(unit_resolution,[status(thm)],[836, 794])).
% 4.18/4.37 tff(838,plain,
% 4.18/4.37 (mult(a, mult(b, mult(a, c))) = mult(mult(a, mult(a, c)), b)),
% 4.18/4.37 inference(symmetry,[status(thm)],[837])).
% 4.18/4.37 tff(839,plain,
% 4.18/4.37 (mult(a, mult(b, mult(a, c))) = mult(a, mult(b, mult(c, a)))),
% 4.18/4.37 inference(transitivity,[status(thm)],[838, 835, 789, 810, 790, 103])).
% 4.18/4.37 tff(840,plain,
% 4.18/4.37 (ld(a, mult(a, mult(b, mult(a, c)))) = ld(a, mult(a, mult(b, mult(c, a))))),
% 4.18/4.37 inference(monotonicity,[status(thm)],[839])).
% 4.18/4.37 tff(841,plain,
% 4.18/4.37 (mult(mult(b, a), c) = mult(b, mult(c, a))),
% 4.18/4.37 inference(transitivity,[status(thm)],[118, 410, 840, 77])).
% 4.18/4.37 tff(842,plain,
% 4.18/4.37 ($false),
% 4.18/4.37 inference(unit_resolution,[status(thm)],[14, 841])).
% 4.18/4.37 tff(843,plain,(((~(mult(mult(a, mult(a, c)), b) = mult(a, mult(b, mult(a, c))))) | (~(mult(mult(a, b), mult(a, c)) = mult(a, mult(mult(a, c), b))))) | (mult(mult(b, a), c) = mult(b, mult(c, a))) | (~(mult(mult(b, a), c) = mult(b, mult(a, c)))) | (~(mult(mult(mult(a, a), c), b) = mult(mult(a, a), mult(c, b)))) | (~(mult(mult(b, c), a) = mult(b, mult(c, a)))) | (~(mult(mult(a, b), c) = mult(a, mult(b, c)))) | (~(mult(mult(mult(a, b), c), a) = mult(mult(a, b), mult(a, c)))) | (~(mult(mult(a, c), b) = mult(a, mult(c, b)))) | (mult(mult(a, mult(c, a)), b) = mult(a, mult(b, mult(c, a))))), inference(lemma,lemma(discharge,[]))).
% 4.18/4.37 tff(844,plain,
% 4.18/4.37 ((~(mult(mult(a, mult(a, c)), b) = mult(a, mult(b, mult(a, c))))) | (~(mult(mult(a, b), mult(a, c)) = mult(a, mult(mult(a, c), b))))),
% 4.18/4.37 inference(unit_resolution,[status(thm)],[843, 789, 118, 14, 102, 59, 776, 788, 733])).
% 4.18/4.37 tff(845,plain,
% 4.18/4.37 (~((~(mult(mult(a, mult(a, c)), b) = mult(a, mult(mult(a, c), b)))) | (~(mult(mult(a, b), mult(a, c)) = mult(a, mult(b, mult(a, c))))))),
% 4.18/4.37 inference(unit_resolution,[status(thm)],[143, 844])).
% 4.18/4.37 tff(846,plain,
% 4.18/4.37 (mult(mult(a, b), mult(a, c)) = mult(a, mult(b, mult(a, c)))),
% 4.18/4.37 inference(unit_resolution,[status(thm)],[145, 845])).
% 4.18/4.37 tff(847,plain,
% 4.18/4.37 ((~![B: $i, A: $i] : (rd(mult(A, B), B) = A)) | (rd(mult(mult(b, mult(c, a)), a), a) = mult(b, mult(c, a)))),
% 4.18/4.37 inference(quant_inst,[status(thm)],[])).
% 4.18/4.37 tff(848,plain,
% 4.18/4.37 (rd(mult(mult(b, mult(c, a)), a), a) = mult(b, mult(c, a))),
% 4.18/4.37 inference(unit_resolution,[status(thm)],[847, 72])).
% 4.18/4.37 tff(849,plain,
% 4.18/4.37 (mult(mult(a, b), mult(a, c)) = mult(mult(mult(a, b), c), a)),
% 4.18/4.37 inference(symmetry,[status(thm)],[776])).
% 4.18/4.37 tff(850,plain,
% 4.18/4.37 (mult(a, mult(b, mult(a, c))) = mult(a, mult(mult(a, b), c))),
% 4.18/4.37 inference(transitivity,[status(thm)],[405, 849, 793, 116, 792])).
% 4.18/4.37 tff(851,plain,
% 4.18/4.37 (ld(a, mult(a, mult(b, mult(a, c)))) = ld(a, mult(a, mult(mult(a, b), c)))),
% 4.18/4.37 inference(monotonicity,[status(thm)],[850])).
% 4.18/4.37 tff(852,plain,
% 4.18/4.37 (mult(mult(b, a), c) = mult(mult(a, b), c)),
% 4.18/4.37 inference(transitivity,[status(thm)],[118, 410, 851, 114])).
% 4.18/4.37 tff(853,plain,
% 4.18/4.37 (mult(mult(mult(b, a), c), a) = mult(mult(mult(a, b), c), a)),
% 4.18/4.37 inference(monotonicity,[status(thm)],[852])).
% 4.18/4.37 tff(854,plain,
% 4.18/4.37 (^[C: $i, B: $i, A: $i] : refl((mult(mult(mult(A, B), C), B) = mult(A, mult(mult(B, C), B))) <=> (mult(mult(mult(A, B), C), B) = mult(A, mult(mult(B, C), B))))),
% 4.18/4.37 inference(bind,[status(th)],[])).
% 4.18/4.37 tff(855,plain,
% 4.18/4.37 (![C: $i, B: $i, A: $i] : (mult(mult(mult(A, B), C), B) = mult(A, mult(mult(B, C), B))) <=> ![C: $i, B: $i, A: $i] : (mult(mult(mult(A, B), C), B) = mult(A, mult(mult(B, C), B)))),
% 4.18/4.37 inference(quant_intro,[status(thm)],[854])).
% 4.18/4.37 tff(856,plain,
% 4.18/4.37 (![C: $i, B: $i, A: $i] : (mult(mult(mult(A, B), C), B) = mult(A, mult(mult(B, C), B))) <=> ![C: $i, B: $i, A: $i] : (mult(mult(mult(A, B), C), B) = mult(A, mult(mult(B, C), B)))),
% 4.18/4.37 inference(rewrite,[status(thm)],[])).
% 4.18/4.37 tff(857,axiom,(![C: $i, B: $i, A: $i] : (mult(mult(mult(A, B), C), B) = mult(A, mult(mult(B, C), B)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','f07')).
% 4.18/4.37 tff(858,plain,
% 4.18/4.37 (![C: $i, B: $i, A: $i] : (mult(mult(mult(A, B), C), B) = mult(A, mult(mult(B, C), B)))),
% 4.18/4.37 inference(modus_ponens,[status(thm)],[857, 856])).
% 4.18/4.37 tff(859,plain,(
% 4.18/4.37 ![C: $i, B: $i, A: $i] : (mult(mult(mult(A, B), C), B) = mult(A, mult(mult(B, C), B)))),
% 4.18/4.37 inference(skolemize,[status(sab)],[858])).
% 4.18/4.37 tff(860,plain,
% 4.18/4.37 (![C: $i, B: $i, A: $i] : (mult(mult(mult(A, B), C), B) = mult(A, mult(mult(B, C), B)))),
% 4.18/4.37 inference(modus_ponens,[status(thm)],[859, 855])).
% 4.18/4.37 tff(861,plain,
% 4.18/4.37 ((~![C: $i, B: $i, A: $i] : (mult(mult(mult(A, B), C), B) = mult(A, mult(mult(B, C), B)))) | (mult(mult(mult(b, a), c), a) = mult(b, mult(mult(a, c), a)))),
% 4.18/4.37 inference(quant_inst,[status(thm)],[])).
% 4.18/4.37 tff(862,plain,
% 4.18/4.37 (mult(mult(mult(b, a), c), a) = mult(b, mult(mult(a, c), a))),
% 4.18/4.37 inference(unit_resolution,[status(thm)],[861, 860])).
% 4.18/4.37 tff(863,plain,
% 4.18/4.37 (mult(b, mult(mult(a, c), a)) = mult(mult(mult(b, a), c), a)),
% 4.18/4.37 inference(symmetry,[status(thm)],[862])).
% 4.18/4.37 tff(864,assumption,(mult(mult(a, c), a) = mult(a, mult(c, a))), introduced(assumption)).
% 4.18/4.37 tff(865,plain,
% 4.18/4.37 (mult(a, mult(c, a)) = mult(mult(a, c), a)),
% 4.18/4.37 inference(symmetry,[status(thm)],[864])).
% 4.18/4.37 tff(866,plain,
% 4.18/4.37 (mult(b, mult(a, mult(c, a))) = mult(b, mult(mult(a, c), a))),
% 4.18/4.37 inference(monotonicity,[status(thm)],[865])).
% 4.18/4.37 tff(867,plain,
% 4.18/4.37 (mult(b, mult(a, mult(c, a))) = mult(mult(mult(a, b), c), a)),
% 4.18/4.37 inference(transitivity,[status(thm)],[866, 863, 853])).
% 4.18/4.37 tff(868,plain,
% 4.18/4.37 (rd(mult(mult(b, a), c), c) = rd(mult(mult(a, b), c), c)),
% 4.18/4.37 inference(monotonicity,[status(thm)],[852])).
% 4.18/4.37 tff(869,plain,
% 4.18/4.37 (mult(b, a) = mult(a, b)),
% 4.18/4.37 inference(transitivity,[status(thm)],[415, 868, 402])).
% 4.18/4.37 tff(870,plain,
% 4.18/4.37 (mult(mult(b, a), mult(c, a)) = mult(mult(a, b), mult(c, a))),
% 4.18/4.37 inference(monotonicity,[status(thm)],[869])).
% 4.18/4.37 tff(871,plain,
% 4.18/4.37 (mult(mult(b, a), mult(c, a)) = mult(a, mult(b, mult(c, a)))),
% 4.18/4.37 inference(transitivity,[status(thm)],[870, 754])).
% 4.18/4.37 tff(872,plain,
% 4.18/4.37 ((mult(mult(b, a), mult(c, a)) = mult(b, mult(a, mult(c, a)))) <=> (mult(a, mult(b, mult(c, a))) = mult(mult(mult(a, b), c), a))),
% 4.18/4.37 inference(monotonicity,[status(thm)],[871, 867])).
% 4.18/4.37 tff(873,plain,
% 4.18/4.37 ((mult(a, mult(b, mult(c, a))) = mult(mult(mult(a, b), c), a)) <=> (mult(mult(b, a), mult(c, a)) = mult(b, mult(a, mult(c, a))))),
% 4.18/4.37 inference(symmetry,[status(thm)],[872])).
% 4.18/4.37 tff(874,plain,
% 4.18/4.37 ((~(mult(a, mult(b, mult(c, a))) = mult(mult(mult(a, b), c), a))) <=> (~(mult(mult(b, a), mult(c, a)) = mult(b, mult(a, mult(c, a)))))),
% 4.18/4.37 inference(monotonicity,[status(thm)],[873])).
% 4.18/4.37 tff(875,plain,
% 4.18/4.37 (~(mult(mult(b, a), mult(c, a)) = mult(b, mult(a, mult(c, a))))),
% 4.18/4.37 inference(modus_ponens,[status(thm)],[194, 874])).
% 4.18/4.37 tff(876,plain,
% 4.18/4.37 (((~(mult(mult(b, mult(c, a)), a) = mult(b, mult(mult(c, a), a)))) | (~(mult(mult(b, a), mult(c, a)) = mult(b, mult(a, mult(c, a)))))) | (mult(mult(b, a), mult(c, a)) = mult(b, mult(a, mult(c, a))))),
% 4.18/4.37 inference(tautology,[status(thm)],[])).
% 4.18/4.37 tff(877,plain,
% 4.18/4.37 ((~(mult(mult(b, mult(c, a)), a) = mult(b, mult(mult(c, a), a)))) | (~(mult(mult(b, a), mult(c, a)) = mult(b, mult(a, mult(c, a)))))),
% 4.18/4.37 inference(unit_resolution,[status(thm)],[876, 875])).
% 4.18/4.37 tff(878,plain,
% 4.18/4.37 (((~![X0: $i, X1: $i, X2: $i] : ((~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X2, X1)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X1, X2)))))) | (~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X1, X2)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X2, X1)))))))) | ((~((~(mult(mult(b, mult(c, a)), a) = mult(b, mult(a, mult(c, a))))) | (~(mult(mult(b, a), mult(c, a)) = mult(b, mult(mult(c, a), a)))))) | (~((~(mult(mult(b, mult(c, a)), a) = mult(b, mult(mult(c, a), a)))) | (~(mult(mult(b, a), mult(c, a)) = mult(b, mult(a, mult(c, a))))))))) <=> ((~![X0: $i, X1: $i, X2: $i] : ((~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X2, X1)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X1, X2)))))) | (~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X1, X2)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X2, X1)))))))) | (~((~(mult(mult(b, mult(c, a)), a) = mult(b, mult(a, mult(c, a))))) | (~(mult(mult(b, a), mult(c, a)) = mult(b, mult(mult(c, a), a)))))) | (~((~(mult(mult(b, mult(c, a)), a) = mult(b, mult(mult(c, a), a)))) | (~(mult(mult(b, a), mult(c, a)) = mult(b, mult(a, mult(c, a))))))))),
% 4.18/4.37 inference(rewrite,[status(thm)],[])).
% 4.18/4.37 tff(879,plain,
% 4.18/4.37 ((~![X0: $i, X1: $i, X2: $i] : ((~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X2, X1)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X1, X2)))))) | (~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X1, X2)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X2, X1)))))))) | ((~((~(mult(mult(b, mult(c, a)), a) = mult(b, mult(a, mult(c, a))))) | (~(mult(mult(b, a), mult(c, a)) = mult(b, mult(mult(c, a), a)))))) | (~((~(mult(mult(b, mult(c, a)), a) = mult(b, mult(mult(c, a), a)))) | (~(mult(mult(b, a), mult(c, a)) = mult(b, mult(a, mult(c, a))))))))),
% 4.18/4.37 inference(quant_inst,[status(thm)],[])).
% 4.18/4.37 tff(880,plain,
% 4.18/4.37 ((~![X0: $i, X1: $i, X2: $i] : ((~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X2, X1)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X1, X2)))))) | (~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X1, X2)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X2, X1)))))))) | (~((~(mult(mult(b, mult(c, a)), a) = mult(b, mult(a, mult(c, a))))) | (~(mult(mult(b, a), mult(c, a)) = mult(b, mult(mult(c, a), a)))))) | (~((~(mult(mult(b, mult(c, a)), a) = mult(b, mult(mult(c, a), a)))) | (~(mult(mult(b, a), mult(c, a)) = mult(b, mult(a, mult(c, a)))))))),
% 4.18/4.37 inference(modus_ponens,[status(thm)],[879, 878])).
% 4.18/4.37 tff(881,plain,
% 4.18/4.37 ((~((~(mult(mult(b, mult(c, a)), a) = mult(b, mult(a, mult(c, a))))) | (~(mult(mult(b, a), mult(c, a)) = mult(b, mult(mult(c, a), a)))))) | (~((~(mult(mult(b, mult(c, a)), a) = mult(b, mult(mult(c, a), a)))) | (~(mult(mult(b, a), mult(c, a)) = mult(b, mult(a, mult(c, a)))))))),
% 4.18/4.37 inference(unit_resolution,[status(thm)],[880, 30])).
% 4.18/4.37 tff(882,plain,
% 4.18/4.37 (~((~(mult(mult(b, mult(c, a)), a) = mult(b, mult(a, mult(c, a))))) | (~(mult(mult(b, a), mult(c, a)) = mult(b, mult(mult(c, a), a)))))),
% 4.18/4.37 inference(unit_resolution,[status(thm)],[881, 877])).
% 4.18/4.37 tff(883,plain,
% 4.18/4.37 (((~(mult(mult(b, mult(c, a)), a) = mult(b, mult(a, mult(c, a))))) | (~(mult(mult(b, a), mult(c, a)) = mult(b, mult(mult(c, a), a))))) | (mult(mult(b, mult(c, a)), a) = mult(b, mult(a, mult(c, a))))),
% 4.18/4.37 inference(tautology,[status(thm)],[])).
% 4.18/4.37 tff(884,plain,
% 4.18/4.37 (mult(mult(b, mult(c, a)), a) = mult(b, mult(a, mult(c, a)))),
% 4.18/4.37 inference(unit_resolution,[status(thm)],[883, 882])).
% 4.18/4.37 tff(885,plain,
% 4.18/4.37 (mult(mult(b, mult(c, a)), a) = mult(mult(mult(a, b), c), a)),
% 4.18/4.37 inference(transitivity,[status(thm)],[884, 866, 863, 853])).
% 4.18/4.37 tff(886,plain,
% 4.18/4.37 (rd(mult(mult(b, mult(c, a)), a), a) = rd(mult(mult(mult(a, b), c), a), a)),
% 4.18/4.37 inference(monotonicity,[status(thm)],[885])).
% 4.18/4.37 tff(887,plain,
% 4.18/4.37 (rd(mult(mult(mult(a, b), c), a), a) = rd(mult(mult(b, mult(c, a)), a), a)),
% 4.18/4.37 inference(symmetry,[status(thm)],[886])).
% 4.18/4.37 tff(888,plain,
% 4.18/4.37 (mult(mult(b, a), c) = mult(b, mult(c, a))),
% 4.18/4.37 inference(transitivity,[status(thm)],[118, 410, 851, 114, 173, 887, 848])).
% 4.18/4.37 tff(889,plain,
% 4.18/4.37 ($false),
% 4.18/4.37 inference(unit_resolution,[status(thm)],[14, 888])).
% 4.18/4.37 tff(890,plain,((~(mult(mult(a, c), a) = mult(a, mult(c, a)))) | (mult(mult(b, a), c) = mult(b, mult(c, a))) | (~(mult(mult(b, a), c) = mult(b, mult(a, c)))) | (~(mult(mult(a, b), mult(a, c)) = mult(a, mult(b, mult(a, c))))) | (~(mult(mult(a, mult(b, c)), a) = mult(a, mult(a, mult(b, c))))) | (~(mult(mult(a, b), c) = mult(a, mult(b, c)))) | (~(mult(mult(a, b), mult(c, a)) = mult(a, mult(b, mult(c, a)))))), inference(lemma,lemma(discharge,[]))).
% 4.18/4.37 tff(891,plain,
% 4.18/4.37 (~(mult(mult(a, c), a) = mult(a, mult(c, a)))),
% 4.18/4.37 inference(unit_resolution,[status(thm)],[890, 846, 118, 14, 787, 59, 754])).
% 4.18/4.37 tff(892,plain,
% 4.18/4.37 (((~(mult(mult(a, c), a) = mult(a, mult(c, a)))) | (~(mult(mult(a, a), c) = mult(a, mult(a, c))))) | (mult(mult(a, c), a) = mult(a, mult(c, a)))),
% 4.18/4.37 inference(tautology,[status(thm)],[])).
% 4.18/4.37 tff(893,plain,
% 4.18/4.37 ((~(mult(mult(a, c), a) = mult(a, mult(c, a)))) | (~(mult(mult(a, a), c) = mult(a, mult(a, c))))),
% 4.18/4.37 inference(unit_resolution,[status(thm)],[892, 891])).
% 4.18/4.37 tff(894,plain,
% 4.18/4.37 (~((~(mult(mult(a, c), a) = mult(a, mult(a, c)))) | (~(mult(mult(a, a), c) = mult(a, mult(c, a)))))),
% 4.18/4.37 inference(unit_resolution,[status(thm)],[830, 893])).
% 4.18/4.37 tff(895,plain,
% 4.18/4.37 (((~(mult(mult(a, c), a) = mult(a, mult(a, c)))) | (~(mult(mult(a, a), c) = mult(a, mult(c, a))))) | (mult(mult(a, c), a) = mult(a, mult(a, c)))),
% 4.18/4.37 inference(tautology,[status(thm)],[])).
% 4.18/4.37 tff(896,plain,
% 4.18/4.37 (mult(mult(a, c), a) = mult(a, mult(a, c))),
% 4.18/4.37 inference(unit_resolution,[status(thm)],[895, 894])).
% 4.18/4.37 tff(897,plain,
% 4.18/4.37 (mult(mult(a, a), c) = mult(a, mult(c, a))),
% 4.18/4.37 inference(unit_resolution,[status(thm)],[825, 894])).
% 4.18/4.37 tff(898,plain,
% 4.18/4.37 (~(mult(mult(a, b), mult(a, c)) = mult(a, mult(mult(a, c), b)))),
% 4.18/4.37 inference(unit_resolution,[status(thm)],[823, 897, 789, 102, 59, 776, 733, 788])).
% 4.18/4.37 tff(899,plain,
% 4.18/4.37 (((~(mult(mult(a, mult(a, c)), b) = mult(a, mult(mult(a, c), b)))) | (~(mult(mult(a, b), mult(a, c)) = mult(a, mult(b, mult(a, c)))))) | (mult(mult(a, mult(a, c)), b) = mult(a, mult(mult(a, c), b)))),
% 4.18/4.37 inference(tautology,[status(thm)],[])).
% 4.18/4.37 tff(900,plain,
% 4.18/4.37 (mult(mult(a, mult(a, c)), b) = mult(a, mult(mult(a, c), b))),
% 4.18/4.37 inference(unit_resolution,[status(thm)],[899, 845])).
% 4.18/4.37 tff(901,plain,
% 4.18/4.37 ((mult(a, mult(a, c)) = mult(mult(a, a), c)) <=> (mult(mult(a, a), c) = mult(a, mult(a, c)))),
% 4.18/4.37 inference(commutativity,[status(thm)],[])).
% 4.18/4.37 tff(902,plain,
% 4.18/4.37 (mult(a, mult(c, a)) = mult(mult(a, a), c)),
% 4.18/4.37 inference(symmetry,[status(thm)],[897])).
% 4.18/4.37 tff(903,plain,
% 4.18/4.37 ((mult(mult(a, c), a) = mult(a, mult(c, a))) <=> (mult(a, mult(a, c)) = mult(mult(a, a), c))),
% 4.18/4.37 inference(monotonicity,[status(thm)],[896, 902])).
% 4.18/4.37 tff(904,plain,
% 4.18/4.37 ((mult(mult(a, c), a) = mult(a, mult(c, a))) <=> (mult(mult(a, a), c) = mult(a, mult(a, c)))),
% 4.18/4.37 inference(transitivity,[status(thm)],[903, 901])).
% 4.18/4.37 tff(905,plain,
% 4.18/4.37 ((~(mult(mult(a, c), a) = mult(a, mult(c, a)))) <=> (~(mult(mult(a, a), c) = mult(a, mult(a, c))))),
% 4.18/4.37 inference(monotonicity,[status(thm)],[904])).
% 4.18/4.37 tff(906,plain,
% 4.18/4.37 (~(mult(mult(a, a), c) = mult(a, mult(a, c)))),
% 4.18/4.37 inference(modus_ponens,[status(thm)],[891, 905])).
% 4.18/4.37 tff(907,plain,
% 4.18/4.37 ((~![B: $i, A: $i] : (rd(mult(A, B), B) = A)) | (rd(mult(mult(a, mult(a, c)), b), b) = mult(a, mult(a, c)))),
% 4.18/4.37 inference(quant_inst,[status(thm)],[])).
% 4.18/4.37 tff(908,plain,
% 4.18/4.37 (rd(mult(mult(a, mult(a, c)), b), b) = mult(a, mult(a, c))),
% 4.18/4.37 inference(unit_resolution,[status(thm)],[907, 72])).
% 4.18/4.37 tff(909,plain,
% 4.18/4.37 (mult(mult(mult(a, a), c), b) = mult(mult(a, mult(c, a)), b)),
% 4.18/4.37 inference(monotonicity,[status(thm)],[818])).
% 4.18/4.37 tff(910,plain,
% 4.18/4.37 (mult(mult(a, a), mult(c, b)) = mult(mult(mult(a, a), c), b)),
% 4.18/4.37 inference(symmetry,[status(thm)],[789])).
% 4.18/4.37 tff(911,assumption,(mult(mult(a, a), mult(c, b)) = mult(a, mult(a, mult(c, b)))), introduced(assumption)).
% 4.18/4.37 tff(912,plain,
% 4.18/4.37 (mult(a, mult(a, mult(c, b))) = mult(mult(a, a), mult(c, b))),
% 4.18/4.37 inference(symmetry,[status(thm)],[911])).
% 4.18/4.37 tff(913,plain,
% 4.18/4.37 (mult(a, mult(mult(a, c), b)) = mult(a, mult(a, mult(c, b)))),
% 4.18/4.37 inference(monotonicity,[status(thm)],[788])).
% 4.18/4.37 tff(914,assumption,(mult(mult(a, mult(a, c)), b) = mult(a, mult(mult(a, c), b))), introduced(assumption)).
% 4.18/4.37 tff(915,plain,
% 4.18/4.37 (mult(mult(a, mult(a, c)), b) = mult(mult(a, mult(c, a)), b)),
% 4.18/4.37 inference(transitivity,[status(thm)],[914, 913, 912, 910, 909])).
% 4.18/4.37 tff(916,plain,
% 4.18/4.37 (rd(mult(mult(a, mult(a, c)), b), b) = rd(mult(mult(a, mult(c, a)), b), b)),
% 4.18/4.37 inference(monotonicity,[status(thm)],[915])).
% 4.18/4.37 tff(917,plain,
% 4.18/4.37 (rd(mult(mult(a, mult(c, a)), b), b) = rd(mult(mult(a, mult(a, c)), b), b)),
% 4.18/4.37 inference(symmetry,[status(thm)],[916])).
% 4.18/4.37 tff(918,plain,
% 4.18/4.37 ((~![B: $i, A: $i] : (rd(mult(A, B), B) = A)) | (rd(mult(mult(a, mult(c, a)), b), b) = mult(a, mult(c, a)))),
% 4.18/4.37 inference(quant_inst,[status(thm)],[])).
% 4.18/4.37 tff(919,plain,
% 4.18/4.37 (rd(mult(mult(a, mult(c, a)), b), b) = mult(a, mult(c, a))),
% 4.18/4.37 inference(unit_resolution,[status(thm)],[918, 72])).
% 4.18/4.37 tff(920,plain,
% 4.18/4.37 (mult(a, mult(c, a)) = rd(mult(mult(a, mult(c, a)), b), b)),
% 4.18/4.37 inference(symmetry,[status(thm)],[919])).
% 4.18/4.37 tff(921,plain,
% 4.18/4.37 (mult(mult(a, a), c) = mult(a, mult(a, c))),
% 4.18/4.37 inference(transitivity,[status(thm)],[818, 920, 917, 908])).
% 4.18/4.37 tff(922,assumption,(~(mult(mult(a, a), c) = mult(a, mult(a, c)))), introduced(assumption)).
% 4.18/4.37 tff(923,plain,
% 4.18/4.37 ($false),
% 4.18/4.37 inference(unit_resolution,[status(thm)],[922, 921])).
% 4.18/4.37 tff(924,plain,((~(mult(mult(a, a), mult(c, b)) = mult(a, mult(a, mult(c, b))))) | (mult(mult(a, a), c) = mult(a, mult(a, c))) | (~(mult(mult(a, a), c) = mult(a, mult(c, a)))) | (~(mult(mult(a, mult(a, c)), b) = mult(a, mult(mult(a, c), b)))) | (~(mult(mult(mult(a, a), c), b) = mult(mult(a, a), mult(c, b)))) | (~(mult(mult(a, c), b) = mult(a, mult(c, b))))), inference(lemma,lemma(discharge,[]))).
% 4.18/4.37 tff(925,plain,
% 4.18/4.37 (~(mult(mult(a, a), mult(c, b)) = mult(a, mult(a, mult(c, b))))),
% 4.18/4.37 inference(unit_resolution,[status(thm)],[924, 906, 897, 900, 789, 788])).
% 4.18/4.37 tff(926,plain,
% 4.18/4.37 (((~(mult(mult(a, mult(c, b)), a) = mult(a, mult(mult(c, b), a)))) | (~(mult(mult(a, a), mult(c, b)) = mult(a, mult(a, mult(c, b)))))) | (mult(mult(a, a), mult(c, b)) = mult(a, mult(a, mult(c, b))))),
% 4.18/4.38 inference(tautology,[status(thm)],[])).
% 4.18/4.38 tff(927,plain,
% 4.18/4.38 ((~(mult(mult(a, mult(c, b)), a) = mult(a, mult(mult(c, b), a)))) | (~(mult(mult(a, a), mult(c, b)) = mult(a, mult(a, mult(c, b)))))),
% 4.18/4.38 inference(unit_resolution,[status(thm)],[926, 925])).
% 4.18/4.38 tff(928,plain,
% 4.18/4.38 (((~![X0: $i, X1: $i, X2: $i] : ((~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X2, X1)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X1, X2)))))) | (~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X1, X2)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X2, X1)))))))) | ((~((~(mult(mult(a, mult(c, b)), a) = mult(a, mult(a, mult(c, b))))) | (~(mult(mult(a, a), mult(c, b)) = mult(a, mult(mult(c, b), a)))))) | (~((~(mult(mult(a, mult(c, b)), a) = mult(a, mult(mult(c, b), a)))) | (~(mult(mult(a, a), mult(c, b)) = mult(a, mult(a, mult(c, b))))))))) <=> ((~![X0: $i, X1: $i, X2: $i] : ((~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X2, X1)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X1, X2)))))) | (~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X1, X2)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X2, X1)))))))) | (~((~(mult(mult(a, mult(c, b)), a) = mult(a, mult(a, mult(c, b))))) | (~(mult(mult(a, a), mult(c, b)) = mult(a, mult(mult(c, b), a)))))) | (~((~(mult(mult(a, mult(c, b)), a) = mult(a, mult(mult(c, b), a)))) | (~(mult(mult(a, a), mult(c, b)) = mult(a, mult(a, mult(c, b))))))))),
% 4.18/4.38 inference(rewrite,[status(thm)],[])).
% 4.18/4.38 tff(929,plain,
% 4.18/4.38 ((~![X0: $i, X1: $i, X2: $i] : ((~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X2, X1)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X1, X2)))))) | (~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X1, X2)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X2, X1)))))))) | ((~((~(mult(mult(a, mult(c, b)), a) = mult(a, mult(a, mult(c, b))))) | (~(mult(mult(a, a), mult(c, b)) = mult(a, mult(mult(c, b), a)))))) | (~((~(mult(mult(a, mult(c, b)), a) = mult(a, mult(mult(c, b), a)))) | (~(mult(mult(a, a), mult(c, b)) = mult(a, mult(a, mult(c, b))))))))),
% 4.18/4.38 inference(quant_inst,[status(thm)],[])).
% 4.18/4.38 tff(930,plain,
% 4.18/4.38 ((~![X0: $i, X1: $i, X2: $i] : ((~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X2, X1)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X1, X2)))))) | (~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X1, X2)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X2, X1)))))))) | (~((~(mult(mult(a, mult(c, b)), a) = mult(a, mult(a, mult(c, b))))) | (~(mult(mult(a, a), mult(c, b)) = mult(a, mult(mult(c, b), a)))))) | (~((~(mult(mult(a, mult(c, b)), a) = mult(a, mult(mult(c, b), a)))) | (~(mult(mult(a, a), mult(c, b)) = mult(a, mult(a, mult(c, b)))))))),
% 4.18/4.38 inference(modus_ponens,[status(thm)],[929, 928])).
% 4.18/4.38 tff(931,plain,
% 4.18/4.38 ((~((~(mult(mult(a, mult(c, b)), a) = mult(a, mult(a, mult(c, b))))) | (~(mult(mult(a, a), mult(c, b)) = mult(a, mult(mult(c, b), a)))))) | (~((~(mult(mult(a, mult(c, b)), a) = mult(a, mult(mult(c, b), a)))) | (~(mult(mult(a, a), mult(c, b)) = mult(a, mult(a, mult(c, b)))))))),
% 4.18/4.38 inference(unit_resolution,[status(thm)],[930, 30])).
% 4.18/4.38 tff(932,plain,
% 4.18/4.38 (~((~(mult(mult(a, mult(c, b)), a) = mult(a, mult(a, mult(c, b))))) | (~(mult(mult(a, a), mult(c, b)) = mult(a, mult(mult(c, b), a)))))),
% 4.18/4.38 inference(unit_resolution,[status(thm)],[931, 927])).
% 4.18/4.38 tff(933,plain,
% 4.18/4.38 (((~(mult(mult(a, mult(c, b)), a) = mult(a, mult(a, mult(c, b))))) | (~(mult(mult(a, a), mult(c, b)) = mult(a, mult(mult(c, b), a))))) | (mult(mult(a, mult(c, b)), a) = mult(a, mult(a, mult(c, b))))),
% 4.18/4.38 inference(tautology,[status(thm)],[])).
% 4.18/4.38 tff(934,plain,
% 4.18/4.38 (mult(mult(a, mult(c, b)), a) = mult(a, mult(a, mult(c, b)))),
% 4.18/4.38 inference(unit_resolution,[status(thm)],[933, 932])).
% 4.18/4.38 tff(935,plain,
% 4.18/4.38 ((mult(mult(a, c), mult(b, a)) = mult(mult(mult(a, c), a), b)) <=> (mult(mult(mult(a, c), a), b) = mult(mult(a, c), mult(b, a)))),
% 4.18/4.38 inference(commutativity,[status(thm)],[])).
% 4.18/4.38 tff(936,assumption,(mult(mult(a, c), a) = mult(a, mult(a, c))), introduced(assumption)).
% 4.18/4.38 tff(937,plain,
% 4.18/4.38 (mult(mult(mult(a, c), a), b) = mult(mult(a, mult(a, c)), b)),
% 4.18/4.38 inference(monotonicity,[status(thm)],[936])).
% 4.18/4.38 tff(938,plain,
% 4.18/4.38 (mult(mult(a, mult(a, c)), b) = mult(mult(mult(a, c), a), b)),
% 4.18/4.38 inference(symmetry,[status(thm)],[937])).
% 4.18/4.38 tff(939,plain,
% 4.18/4.38 (mult(a, mult(mult(a, c), b)) = mult(mult(a, mult(a, c)), b)),
% 4.18/4.38 inference(symmetry,[status(thm)],[914])).
% 4.18/4.38 tff(940,plain,
% 4.18/4.38 (mult(a, mult(mult(a, c), b)) = mult(mult(mult(a, c), a), b)),
% 4.18/4.38 inference(transitivity,[status(thm)],[939, 938])).
% 4.18/4.38 tff(941,plain,
% 4.18/4.38 (mult(a, mult(b, mult(a, c))) = mult(a, mult(mult(a, b), c))),
% 4.18/4.38 inference(transitivity,[status(thm)],[405, 403, 793, 116, 792])).
% 4.18/4.38 tff(942,plain,
% 4.18/4.38 (ld(a, mult(a, mult(b, mult(a, c)))) = ld(a, mult(a, mult(mult(a, b), c)))),
% 4.18/4.38 inference(monotonicity,[status(thm)],[941])).
% 4.18/4.38 tff(943,plain,
% 4.18/4.38 (mult(mult(b, a), c) = mult(mult(a, b), c)),
% 4.18/4.38 inference(transitivity,[status(thm)],[118, 410, 942, 114])).
% 4.18/4.38 tff(944,plain,
% 4.18/4.38 (rd(mult(mult(b, a), c), c) = rd(mult(mult(a, b), c), c)),
% 4.18/4.38 inference(monotonicity,[status(thm)],[943])).
% 4.18/4.38 tff(945,plain,
% 4.18/4.38 (mult(b, a) = mult(a, b)),
% 4.18/4.38 inference(transitivity,[status(thm)],[415, 944, 402])).
% 4.18/4.38 tff(946,plain,
% 4.18/4.38 (mult(mult(a, c), mult(b, a)) = mult(mult(a, c), mult(a, b))),
% 4.18/4.38 inference(monotonicity,[status(thm)],[945])).
% 4.18/4.38 tff(947,plain,
% 4.18/4.38 (mult(mult(a, c), mult(a, b)) = mult(mult(a, c), mult(b, a))),
% 4.18/4.38 inference(symmetry,[status(thm)],[946])).
% 4.18/4.38 tff(948,plain,
% 4.18/4.38 (mult(a, mult(mult(a, b), c)) = mult(mult(a, c), mult(a, b))),
% 4.18/4.38 inference(symmetry,[status(thm)],[593])).
% 4.18/4.38 tff(949,plain,
% 4.18/4.38 (mult(mult(a, b), mult(a, c)) = mult(mult(a, c), mult(b, a))),
% 4.18/4.38 inference(transitivity,[status(thm)],[403, 793, 116, 792, 948, 947])).
% 4.18/4.38 tff(950,plain,
% 4.18/4.38 ((mult(mult(a, b), mult(a, c)) = mult(a, mult(mult(a, c), b))) <=> (mult(mult(a, c), mult(b, a)) = mult(mult(mult(a, c), a), b))),
% 4.18/4.38 inference(monotonicity,[status(thm)],[949, 940])).
% 4.18/4.38 tff(951,plain,
% 4.18/4.38 ((mult(mult(a, b), mult(a, c)) = mult(a, mult(mult(a, c), b))) <=> (mult(mult(mult(a, c), a), b) = mult(mult(a, c), mult(b, a)))),
% 4.18/4.38 inference(transitivity,[status(thm)],[950, 935])).
% 4.18/4.38 tff(952,plain,
% 4.18/4.38 ((~(mult(mult(a, b), mult(a, c)) = mult(a, mult(mult(a, c), b)))) <=> (~(mult(mult(mult(a, c), a), b) = mult(mult(a, c), mult(b, a))))),
% 4.18/4.38 inference(monotonicity,[status(thm)],[951])).
% 4.18/4.38 tff(953,plain,
% 4.18/4.38 (~(mult(mult(mult(a, c), a), b) = mult(mult(a, c), mult(b, a)))),
% 4.18/4.38 inference(modus_ponens,[status(thm)],[137, 952])).
% 4.18/4.38 tff(954,plain,
% 4.18/4.38 (((~(mult(mult(mult(a, c), a), b) = mult(mult(a, c), mult(b, a)))) | (~(mult(mult(mult(a, c), b), a) = mult(mult(a, c), mult(a, b))))) | (mult(mult(mult(a, c), a), b) = mult(mult(a, c), mult(b, a)))),
% 4.18/4.38 inference(tautology,[status(thm)],[])).
% 4.18/4.38 tff(955,plain,
% 4.18/4.38 ((~(mult(mult(mult(a, c), a), b) = mult(mult(a, c), mult(b, a)))) | (~(mult(mult(mult(a, c), b), a) = mult(mult(a, c), mult(a, b))))),
% 4.18/4.38 inference(unit_resolution,[status(thm)],[954, 953])).
% 4.18/4.38 tff(956,plain,
% 4.18/4.38 ((mult(mult(mult(a, c), b), a) = mult(mult(a, c), mult(b, a))) <=> (mult(mult(mult(a, c), b), a) = mult(mult(a, c), mult(a, b)))),
% 4.18/4.38 inference(monotonicity,[status(thm)],[946])).
% 4.18/4.38 tff(957,plain,
% 4.18/4.38 ((mult(mult(mult(a, c), b), a) = mult(mult(a, c), mult(a, b))) <=> (mult(mult(mult(a, c), b), a) = mult(mult(a, c), mult(b, a)))),
% 4.18/4.38 inference(symmetry,[status(thm)],[956])).
% 4.18/4.38 tff(958,plain,
% 4.18/4.38 (mult(mult(mult(a, c), b), a) = mult(mult(a, mult(c, b)), a)),
% 4.18/4.38 inference(monotonicity,[status(thm)],[788])).
% 4.18/4.38 tff(959,plain,
% 4.18/4.38 (mult(mult(mult(a, c), b), a) = mult(mult(mult(a, c), a), b)),
% 4.18/4.38 inference(transitivity,[status(thm)],[958, 249, 798, 939, 938])).
% 4.18/4.38 tff(960,plain,
% 4.18/4.38 ((mult(mult(mult(a, c), b), a) = mult(mult(a, c), mult(a, b))) <=> (mult(mult(mult(a, c), a), b) = mult(mult(a, c), mult(b, a)))),
% 4.18/4.38 inference(monotonicity,[status(thm)],[959, 947])).
% 4.18/4.38 tff(961,plain,
% 4.18/4.38 ((mult(mult(mult(a, c), a), b) = mult(mult(a, c), mult(b, a))) <=> (mult(mult(mult(a, c), b), a) = mult(mult(a, c), mult(a, b)))),
% 4.18/4.38 inference(symmetry,[status(thm)],[960])).
% 4.18/4.38 tff(962,plain,
% 4.18/4.38 ((mult(mult(a, b), mult(a, c)) = mult(a, mult(mult(a, c), b))) <=> (mult(mult(mult(a, c), b), a) = mult(mult(a, c), mult(b, a)))),
% 4.18/4.38 inference(transitivity,[status(thm)],[951, 961, 957])).
% 4.18/4.38 tff(963,plain,
% 4.18/4.38 ((~(mult(mult(a, b), mult(a, c)) = mult(a, mult(mult(a, c), b)))) <=> (~(mult(mult(mult(a, c), b), a) = mult(mult(a, c), mult(b, a))))),
% 4.18/4.38 inference(monotonicity,[status(thm)],[962])).
% 4.18/4.38 tff(964,plain,
% 4.18/4.38 (~(mult(mult(mult(a, c), b), a) = mult(mult(a, c), mult(b, a)))),
% 4.18/4.38 inference(modus_ponens,[status(thm)],[137, 963])).
% 4.18/4.38 tff(965,plain,
% 4.18/4.38 ((~(mult(mult(mult(a, c), a), b) = mult(mult(a, c), mult(a, b)))) | (~(mult(mult(mult(a, c), b), a) = mult(mult(a, c), mult(b, a))))),
% 4.18/4.38 inference(unit_resolution,[status(thm)],[577, 964])).
% 4.18/4.38 tff(966,plain,
% 4.18/4.38 ($false),
% 4.18/4.38 inference(unit_resolution,[status(thm)],[589, 965, 955])).
% 4.18/4.38 tff(967,plain,((~(mult(mult(a, c), mult(a, b)) = mult(a, mult(mult(a, b), c)))) | (mult(mult(a, b), mult(a, c)) = mult(a, mult(mult(a, c), b))) | (~(mult(mult(a, mult(a, c)), b) = mult(a, mult(mult(a, c), b)))) | (~(mult(mult(a, mult(c, b)), a) = mult(a, mult(a, mult(c, b))))) | (~(mult(mult(a, c), b) = mult(a, mult(c, b)))) | (~(mult(mult(a, c), a) = mult(a, mult(a, c)))) | (~(mult(mult(b, a), c) = mult(b, mult(a, c)))) | (~(mult(mult(a, b), mult(a, c)) = mult(a, mult(b, mult(a, c))))) | (~(mult(mult(a, mult(b, c)), a) = mult(a, mult(a, mult(b, c))))) | (~(mult(mult(mult(a, b), c), a) = mult(mult(a, b), mult(a, c)))) | (~(mult(mult(a, b), c) = mult(a, mult(b, c))))), inference(lemma,lemma(discharge,[]))).
% 4.18/4.38 tff(968,plain,
% 4.18/4.38 (~(mult(mult(a, c), mult(a, b)) = mult(a, mult(mult(a, b), c)))),
% 4.18/4.38 inference(unit_resolution,[status(thm)],[967, 934, 900, 898, 788, 896, 118, 846, 787, 776, 59])).
% 4.18/4.38 tff(969,plain,
% 4.18/4.38 ((~(mult(mult(a, mult(a, b)), c) = mult(a, mult(c, mult(a, b))))) | (~(mult(mult(a, c), mult(a, b)) = mult(a, mult(mult(a, b), c))))),
% 4.18/4.38 inference(unit_resolution,[status(thm)],[601, 968])).
% 4.18/4.38 tff(970,plain,
% 4.18/4.38 (~((~(mult(mult(mult(a, c), a), b) = mult(mult(a, c), mult(b, a)))) | (~(mult(mult(mult(a, c), b), a) = mult(mult(a, c), mult(a, b)))))),
% 4.18/4.38 inference(unit_resolution,[status(thm)],[589, 617])).
% 4.18/4.38 tff(971,plain,
% 4.18/4.38 (mult(mult(mult(a, c), b), a) = mult(mult(a, c), mult(a, b))),
% 4.18/4.38 inference(unit_resolution,[status(thm)],[591, 970])).
% 4.18/4.38 tff(972,plain,
% 4.18/4.38 (mult(mult(mult(a, c), b), a) = mult(mult(a, c), mult(b, a))),
% 4.18/4.38 inference(modus_ponens,[status(thm)],[971, 957])).
% 4.18/4.38 tff(973,plain,
% 4.18/4.38 ($false),
% 4.18/4.38 inference(unit_resolution,[status(thm)],[614, 972])).
% 4.18/4.38 tff(974,plain,((mult(mult(mult(a, c), b), a) = mult(mult(a, c), mult(b, a))) | (~(mult(mult(b, a), c) = mult(b, mult(a, c)))) | (~(mult(mult(a, b), mult(a, c)) = mult(a, mult(b, mult(a, c))))) | (~(mult(mult(a, mult(b, c)), a) = mult(a, mult(a, mult(b, c))))) | (~(mult(mult(mult(a, b), c), a) = mult(mult(a, b), mult(a, c)))) | (~(mult(mult(a, b), c) = mult(a, mult(b, c))))), inference(lemma,lemma(discharge,[]))).
% 4.18/4.38 tff(975,plain,
% 4.18/4.38 (mult(mult(mult(a, c), b), a) = mult(mult(a, c), mult(b, a))),
% 4.18/4.38 inference(unit_resolution,[status(thm)],[974, 846, 118, 787, 776, 59])).
% 4.18/4.38 tff(976,plain,
% 4.18/4.38 (mult(c, mult(b, a)) = mult(c, mult(a, b))),
% 4.18/4.38 inference(monotonicity,[status(thm)],[945])).
% 4.18/4.38 tff(977,plain,
% 4.18/4.38 ((mult(mult(c, a), b) = mult(c, mult(b, a))) <=> (mult(mult(c, a), b) = mult(c, mult(a, b)))),
% 4.18/4.38 inference(monotonicity,[status(thm)],[976])).
% 4.18/4.38 tff(978,plain,
% 4.18/4.38 ((~(mult(mult(c, a), b) = mult(c, mult(b, a)))) <=> (~(mult(mult(c, a), b) = mult(c, mult(a, b))))),
% 4.18/4.38 inference(monotonicity,[status(thm)],[977])).
% 4.18/4.38 tff(979,plain,
% 4.18/4.38 (~(mult(mult(c, a), b) = mult(c, mult(a, b)))),
% 4.18/4.38 inference(modus_ponens,[status(thm)],[40, 978])).
% 4.18/4.38 tff(980,plain,
% 4.18/4.38 ($false),
% 4.18/4.38 inference(unit_resolution,[status(thm)],[421, 979])).
% 4.18/4.38 tff(981,plain,((mult(mult(c, a), b) = mult(c, mult(b, a))) | (~(mult(mult(b, a), c) = mult(b, mult(a, c)))) | (~(mult(mult(a, b), mult(a, c)) = mult(a, mult(b, mult(a, c))))) | (~(mult(mult(a, mult(b, c)), a) = mult(a, mult(a, mult(b, c))))) | (~(mult(mult(mult(a, b), c), a) = mult(mult(a, b), mult(a, c)))) | (~(mult(mult(a, b), c) = mult(a, mult(b, c))))), inference(lemma,lemma(discharge,[]))).
% 4.18/4.38 tff(982,plain,
% 4.18/4.38 (mult(mult(c, a), b) = mult(c, mult(b, a))),
% 4.18/4.38 inference(unit_resolution,[status(thm)],[981, 846, 118, 787, 776, 59])).
% 4.18/4.38 tff(983,plain,
% 4.18/4.38 (mult(a, mult(mult(c, a), b)) = mult(mult(a, mult(c, a)), b)),
% 4.18/4.38 inference(symmetry,[status(thm)],[742])).
% 4.18/4.38 tff(984,plain,
% 4.18/4.38 (rd(mult(mult(a, b), c), c) = rd(mult(mult(b, a), c), c)),
% 4.18/4.38 inference(symmetry,[status(thm)],[944])).
% 4.18/4.38 tff(985,plain,
% 4.18/4.38 (mult(a, b) = rd(mult(mult(a, b), c), c)),
% 4.18/4.38 inference(symmetry,[status(thm)],[402])).
% 4.18/4.38 tff(986,plain,
% 4.18/4.38 (mult(a, b) = mult(b, a)),
% 4.18/4.38 inference(transitivity,[status(thm)],[985, 984, 414])).
% 4.18/4.38 tff(987,plain,
% 4.18/4.38 (mult(mult(a, c), mult(a, b)) = mult(mult(a, c), mult(b, a))),
% 4.18/4.38 inference(monotonicity,[status(thm)],[986])).
% 4.18/4.38 tff(988,assumption,(mult(mult(a, c), mult(a, b)) = mult(a, mult(c, mult(a, b)))), introduced(assumption)).
% 4.18/4.38 tff(989,plain,
% 4.18/4.38 (mult(a, mult(c, mult(a, b))) = mult(mult(a, c), mult(a, b))),
% 4.18/4.38 inference(symmetry,[status(thm)],[988])).
% 4.18/4.38 tff(990,plain,
% 4.18/4.38 (mult(a, mult(c, mult(a, b))) = mult(a, mult(a, mult(c, b)))),
% 4.18/4.38 inference(transitivity,[status(thm)],[989, 987, 153, 958, 249])).
% 4.18/4.38 tff(991,plain,
% 4.18/4.38 (ld(a, mult(a, mult(c, mult(a, b)))) = ld(a, mult(a, mult(a, mult(c, b))))),
% 4.18/4.38 inference(monotonicity,[status(thm)],[990])).
% 4.18/4.38 tff(992,plain,
% 4.18/4.38 (mult(mult(c, a), b) = mult(mult(a, c), b)),
% 4.18/4.38 inference(transitivity,[status(thm)],[342, 976, 668, 991, 802, 797])).
% 4.18/4.38 tff(993,plain,
% 4.18/4.38 (mult(a, mult(mult(c, a), b)) = mult(a, mult(mult(a, c), b))),
% 4.18/4.38 inference(monotonicity,[status(thm)],[992])).
% 4.18/4.38 tff(994,plain,
% 4.18/4.38 (mult(a, mult(mult(a, c), b)) = mult(a, mult(mult(c, a), b))),
% 4.18/4.38 inference(symmetry,[status(thm)],[993])).
% 4.18/4.38 tff(995,plain,
% 4.18/4.38 (mult(mult(a, mult(a, c)), b) = mult(mult(a, mult(c, a)), b)),
% 4.18/4.38 inference(transitivity,[status(thm)],[914, 994, 983])).
% 4.18/4.38 tff(996,plain,
% 4.18/4.38 (rd(mult(mult(a, mult(a, c)), b), b) = rd(mult(mult(a, mult(c, a)), b), b)),
% 4.18/4.38 inference(monotonicity,[status(thm)],[995])).
% 4.18/4.38 tff(997,plain,
% 4.18/4.38 (rd(mult(mult(a, mult(c, a)), b), b) = rd(mult(mult(a, mult(a, c)), b), b)),
% 4.18/4.38 inference(symmetry,[status(thm)],[996])).
% 4.18/4.38 tff(998,plain,
% 4.18/4.38 (mult(mult(a, a), c) = mult(a, mult(a, c))),
% 4.18/4.38 inference(transitivity,[status(thm)],[818, 920, 997, 908])).
% 4.18/4.38 tff(999,plain,
% 4.18/4.38 ($false),
% 4.18/4.38 inference(unit_resolution,[status(thm)],[922, 998])).
% 4.18/4.38 tff(1000,plain,((~(mult(mult(c, a), b) = mult(c, mult(b, a)))) | (mult(mult(a, a), c) = mult(a, mult(a, c))) | (~(mult(mult(a, a), c) = mult(a, mult(c, a)))) | (~(mult(mult(a, mult(c, a)), b) = mult(a, mult(mult(c, a), b)))) | (~(mult(mult(a, mult(a, c)), b) = mult(a, mult(mult(a, c), b)))) | (~(mult(mult(a, c), b) = mult(a, mult(c, b)))) | (~(mult(mult(a, c), mult(a, b)) = mult(a, mult(c, mult(a, b))))) | (~(mult(mult(mult(a, c), b), a) = mult(mult(a, c), mult(b, a)))) | (~(mult(mult(a, mult(c, b)), a) = mult(a, mult(a, mult(c, b))))) | (~(mult(mult(b, a), c) = mult(b, mult(a, c)))) | (~(mult(mult(a, b), mult(a, c)) = mult(a, mult(b, mult(a, c))))) | (~(mult(mult(a, mult(b, c)), a) = mult(a, mult(a, mult(b, c))))) | (~(mult(mult(mult(a, b), c), a) = mult(mult(a, b), mult(a, c)))) | (~(mult(mult(a, b), c) = mult(a, mult(b, c))))), inference(lemma,lemma(discharge,[]))).
% 4.18/4.38 tff(1001,plain,
% 4.18/4.38 (~(mult(mult(a, c), mult(a, b)) = mult(a, mult(c, mult(a, b))))),
% 4.18/4.38 inference(unit_resolution,[status(thm)],[1000, 934, 897, 742, 900, 788, 906, 982, 975, 118, 846, 787, 776, 59])).
% 4.18/4.38 tff(1002,plain,
% 4.18/4.38 ((~(mult(mult(a, mult(a, b)), c) = mult(a, mult(mult(a, b), c)))) | (~(mult(mult(a, c), mult(a, b)) = mult(a, mult(c, mult(a, b)))))),
% 4.18/4.38 inference(unit_resolution,[status(thm)],[604, 1001])).
% 4.18/4.38 tff(1003,plain,
% 4.18/4.38 ($false),
% 4.18/4.38 inference(unit_resolution,[status(thm)],[292, 1002, 969])).
% 4.18/4.38 tff(1004,plain,((~(mult(mult(mult(a, a), c), b) = mult(mult(a, a), mult(c, b)))) | (~(mult(mult(a, mult(c, a)), b) = mult(a, mult(mult(c, a), b)))) | (~(mult(mult(a, c), b) = mult(a, mult(c, b)))) | (~(mult(mult(b, a), c) = mult(b, mult(a, c)))) | (~(mult(mult(a, b), c) = mult(a, mult(b, c)))) | (~(mult(mult(b, c), a) = mult(b, mult(c, a)))) | (mult(mult(a, mult(c, a)), b) = mult(a, mult(b, mult(c, a)))) | (mult(mult(b, a), c) = mult(b, mult(c, a))) | (~(mult(mult(a, b), mult(c, a)) = mult(a, mult(b, mult(c, a)))))), inference(lemma,lemma(discharge,[]))).
% 4.18/4.38 tff(1005,plain,
% 4.18/4.38 (~(mult(mult(mult(a, a), c), b) = mult(mult(a, a), mult(c, b)))),
% 4.18/4.38 inference(unit_resolution,[status(thm)],[1004, 768, 742, 118, 757, 102, 733, 14, 754])).
% 4.18/4.38 tff(1006,plain,
% 4.18/4.38 (((~(mult(mult(mult(a, a), b), c) = mult(mult(a, a), mult(b, c)))) | (~(mult(mult(mult(a, a), c), b) = mult(mult(a, a), mult(c, b))))) | (mult(mult(mult(a, a), c), b) = mult(mult(a, a), mult(c, b)))),
% 4.18/4.38 inference(tautology,[status(thm)],[])).
% 4.18/4.38 tff(1007,plain,
% 4.18/4.38 ((~(mult(mult(mult(a, a), b), c) = mult(mult(a, a), mult(b, c)))) | (~(mult(mult(mult(a, a), c), b) = mult(mult(a, a), mult(c, b))))),
% 4.18/4.38 inference(unit_resolution,[status(thm)],[1006, 1005])).
% 4.18/4.38 tff(1008,plain,
% 4.18/4.38 ((~![X0: $i, X1: $i, X2: $i] : ((~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X2, X1)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X1, X2)))))) | (~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X1, X2)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X2, X1)))))))) | ((~((~(mult(mult(mult(a, a), b), c) = mult(mult(a, a), mult(c, b)))) | (~(mult(mult(mult(a, a), c), b) = mult(mult(a, a), mult(b, c)))))) | (~((~(mult(mult(mult(a, a), b), c) = mult(mult(a, a), mult(b, c)))) | (~(mult(mult(mult(a, a), c), b) = mult(mult(a, a), mult(c, b)))))))),
% 4.18/4.39 inference(quant_inst,[status(thm)],[])).
% 4.18/4.39 tff(1009,plain,
% 4.18/4.39 ((~![X0: $i, X1: $i, X2: $i] : ((~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X2, X1)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X1, X2)))))) | (~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X1, X2)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X2, X1)))))))) | (~((~(mult(mult(mult(a, a), b), c) = mult(mult(a, a), mult(c, b)))) | (~(mult(mult(mult(a, a), c), b) = mult(mult(a, a), mult(b, c)))))) | (~((~(mult(mult(mult(a, a), b), c) = mult(mult(a, a), mult(b, c)))) | (~(mult(mult(mult(a, a), c), b) = mult(mult(a, a), mult(c, b))))))),
% 4.18/4.39 inference(modus_ponens,[status(thm)],[1008, 328])).
% 4.18/4.39 tff(1010,plain,
% 4.18/4.39 ((~((~(mult(mult(mult(a, a), b), c) = mult(mult(a, a), mult(c, b)))) | (~(mult(mult(mult(a, a), c), b) = mult(mult(a, a), mult(b, c)))))) | (~((~(mult(mult(mult(a, a), b), c) = mult(mult(a, a), mult(b, c)))) | (~(mult(mult(mult(a, a), c), b) = mult(mult(a, a), mult(c, b))))))),
% 4.18/4.39 inference(unit_resolution,[status(thm)],[1009, 30])).
% 4.18/4.39 tff(1011,plain,
% 4.18/4.39 (~((~(mult(mult(mult(a, a), b), c) = mult(mult(a, a), mult(c, b)))) | (~(mult(mult(mult(a, a), c), b) = mult(mult(a, a), mult(b, c)))))),
% 4.18/4.39 inference(unit_resolution,[status(thm)],[1010, 1007])).
% 4.18/4.39 tff(1012,plain,
% 4.18/4.39 (((~(mult(mult(mult(a, a), b), c) = mult(mult(a, a), mult(c, b)))) | (~(mult(mult(mult(a, a), c), b) = mult(mult(a, a), mult(b, c))))) | (mult(mult(mult(a, a), c), b) = mult(mult(a, a), mult(b, c)))),
% 4.18/4.39 inference(tautology,[status(thm)],[])).
% 4.18/4.39 tff(1013,plain,
% 4.18/4.39 (mult(mult(mult(a, a), c), b) = mult(mult(a, a), mult(b, c))),
% 4.18/4.39 inference(unit_resolution,[status(thm)],[1012, 1011])).
% 4.18/4.39 tff(1014,plain,
% 4.18/4.39 (mult(mult(a, mult(b, c)), a) = mult(a, mult(a, mult(b, c)))),
% 4.18/4.39 inference(unit_resolution,[status(thm)],[786, 766])).
% 4.18/4.39 tff(1015,plain,
% 4.18/4.39 (mult(a, mult(a, mult(c, b))) = mult(a, mult(mult(a, b), c))),
% 4.18/4.39 inference(transitivity,[status(thm)],[798, 811, 403, 793, 116, 792])).
% 4.18/4.39 tff(1016,plain,
% 4.18/4.39 (ld(a, mult(a, mult(a, mult(c, b)))) = ld(a, mult(a, mult(mult(a, b), c)))),
% 4.18/4.39 inference(monotonicity,[status(thm)],[1015])).
% 4.18/4.39 tff(1017,plain,
% 4.18/4.39 (mult(a, mult(c, b)) = mult(a, mult(b, c))),
% 4.18/4.39 inference(transitivity,[status(thm)],[803, 1016, 114, 59])).
% 4.18/4.39 tff(1018,plain,
% 4.18/4.39 (ld(a, mult(a, mult(c, b))) = ld(a, mult(a, mult(b, c)))),
% 4.18/4.39 inference(monotonicity,[status(thm)],[1017])).
% 4.18/4.39 tff(1019,plain,
% 4.18/4.39 (mult(c, b) = mult(b, c)),
% 4.18/4.39 inference(transitivity,[status(thm)],[808, 1018, 39])).
% 4.18/4.39 tff(1020,plain,
% 4.18/4.39 (mult(mult(a, a), mult(c, b)) = mult(mult(a, a), mult(b, c))),
% 4.18/4.39 inference(monotonicity,[status(thm)],[1019])).
% 4.18/4.39 tff(1021,plain,
% 4.18/4.39 (mult(mult(a, a), mult(b, c)) = mult(mult(a, a), mult(c, b))),
% 4.18/4.39 inference(symmetry,[status(thm)],[1020])).
% 4.18/4.39 tff(1022,assumption,(~(mult(mult(mult(a, a), c), b) = mult(mult(a, a), mult(c, b)))), introduced(assumption)).
% 4.18/4.39 tff(1023,plain,
% 4.18/4.39 ((~(mult(mult(mult(a, a), b), c) = mult(mult(a, a), mult(b, c)))) | (~(mult(mult(mult(a, a), c), b) = mult(mult(a, a), mult(c, b))))),
% 4.18/4.39 inference(unit_resolution,[status(thm)],[1006, 1022])).
% 4.18/4.39 tff(1024,plain,
% 4.18/4.39 (~((~(mult(mult(mult(a, a), b), c) = mult(mult(a, a), mult(c, b)))) | (~(mult(mult(mult(a, a), c), b) = mult(mult(a, a), mult(b, c)))))),
% 4.18/4.39 inference(unit_resolution,[status(thm)],[1010, 1023])).
% 4.18/4.39 tff(1025,plain,
% 4.18/4.39 (mult(mult(mult(a, a), c), b) = mult(mult(a, a), mult(b, c))),
% 4.18/4.39 inference(unit_resolution,[status(thm)],[1012, 1024])).
% 4.18/4.39 tff(1026,plain,
% 4.18/4.39 (mult(mult(mult(a, a), c), b) = mult(mult(a, a), mult(c, b))),
% 4.18/4.39 inference(transitivity,[status(thm)],[1025, 1021])).
% 4.18/4.39 tff(1027,plain,
% 4.18/4.39 ($false),
% 4.18/4.39 inference(unit_resolution,[status(thm)],[1022, 1026])).
% 4.18/4.39 tff(1028,plain,((~(mult(mult(a, b), mult(a, c)) = mult(a, mult(mult(a, c), b)))) | (mult(mult(mult(a, a), c), b) = mult(mult(a, a), mult(c, b))) | (~(mult(mult(a, b), c) = mult(a, mult(b, c)))) | (~(mult(mult(a, mult(b, c)), a) = mult(a, mult(a, mult(b, c))))) | (~(mult(mult(mult(a, b), c), a) = mult(mult(a, b), mult(a, c)))) | (~(mult(mult(a, c), b) = mult(a, mult(c, b))))), inference(lemma,lemma(discharge,[]))).
% 4.18/4.39 tff(1029,plain,
% 4.18/4.39 (~(mult(mult(a, b), mult(a, c)) = mult(a, mult(mult(a, c), b)))),
% 4.18/4.39 inference(unit_resolution,[status(thm)],[1028, 1005, 757, 1014, 776, 768])).
% 4.18/4.39 tff(1030,plain,
% 4.18/4.39 ((~(mult(mult(a, mult(a, c)), b) = mult(a, mult(b, mult(a, c))))) | (~(mult(mult(a, b), mult(a, c)) = mult(a, mult(mult(a, c), b))))),
% 4.18/4.39 inference(unit_resolution,[status(thm)],[138, 1029])).
% 4.18/4.39 tff(1031,plain,
% 4.18/4.39 (~((~(mult(mult(a, mult(a, c)), b) = mult(a, mult(mult(a, c), b)))) | (~(mult(mult(a, b), mult(a, c)) = mult(a, mult(b, mult(a, c))))))),
% 4.18/4.39 inference(unit_resolution,[status(thm)],[143, 1030])).
% 4.18/4.39 tff(1032,plain,
% 4.18/4.39 (mult(mult(a, b), mult(a, c)) = mult(a, mult(b, mult(a, c)))),
% 4.18/4.39 inference(unit_resolution,[status(thm)],[145, 1031])).
% 4.18/4.39 tff(1033,plain,
% 4.18/4.39 (~(mult(mult(a, c), a) = mult(a, mult(c, a)))),
% 4.18/4.39 inference(unit_resolution,[status(thm)],[890, 1032, 118, 14, 1014, 757, 754])).
% 4.18/4.39 tff(1034,plain,
% 4.18/4.39 ((~(mult(mult(a, c), a) = mult(a, mult(c, a)))) | (~(mult(mult(a, a), c) = mult(a, mult(a, c))))),
% 4.18/4.39 inference(unit_resolution,[status(thm)],[892, 1033])).
% 4.18/4.39 tff(1035,plain,
% 4.18/4.39 (~((~(mult(mult(a, c), a) = mult(a, mult(a, c)))) | (~(mult(mult(a, a), c) = mult(a, mult(c, a)))))),
% 4.18/4.39 inference(unit_resolution,[status(thm)],[830, 1034])).
% 4.18/4.39 tff(1036,plain,
% 4.18/4.39 (mult(mult(a, a), c) = mult(a, mult(c, a))),
% 4.18/4.39 inference(unit_resolution,[status(thm)],[825, 1035])).
% 4.18/4.39 tff(1037,plain,
% 4.18/4.39 (mult(a, mult(c, a)) = mult(mult(a, a), c)),
% 4.18/4.39 inference(symmetry,[status(thm)],[1036])).
% 4.18/4.39 tff(1038,plain,
% 4.18/4.39 (mult(mult(a, mult(c, a)), b) = mult(mult(mult(a, a), c), b)),
% 4.18/4.39 inference(monotonicity,[status(thm)],[1037])).
% 4.18/4.39 tff(1039,plain,
% 4.18/4.39 (mult(mult(a, mult(c, a)), b) = mult(a, mult(b, mult(c, a)))),
% 4.18/4.39 inference(transitivity,[status(thm)],[1038, 1013, 767, 103])).
% 4.18/4.39 tff(1040,plain,
% 4.18/4.39 ($false),
% 4.18/4.39 inference(unit_resolution,[status(thm)],[733, 1039])).
% 4.18/4.39 tff(1041,plain,(((~(mult(mult(a, c), b) = mult(a, mult(c, b)))) | (~(mult(mult(a, b), c) = mult(a, mult(b, c))))) | (mult(mult(a, mult(c, a)), b) = mult(a, mult(b, mult(c, a)))) | (~(mult(mult(b, c), a) = mult(b, mult(c, a)))) | (~(mult(mult(b, a), c) = mult(b, mult(a, c)))) | (mult(mult(b, a), c) = mult(b, mult(c, a))) | (~(mult(mult(a, b), mult(c, a)) = mult(a, mult(b, mult(c, a))))) | (~(mult(mult(a, mult(c, a)), b) = mult(a, mult(mult(c, a), b))))), inference(lemma,lemma(discharge,[]))).
% 4.18/4.39 tff(1042,plain,
% 4.18/4.39 ((~(mult(mult(a, c), b) = mult(a, mult(c, b)))) | (~(mult(mult(a, b), c) = mult(a, mult(b, c))))),
% 4.18/4.39 inference(unit_resolution,[status(thm)],[1041, 749, 733, 747, 753, 754, 742])).
% 4.18/4.39 tff(1043,plain,
% 4.18/4.39 (~((~(mult(mult(a, c), b) = mult(a, mult(b, c)))) | (~(mult(mult(a, b), c) = mult(a, mult(c, b)))))),
% 4.18/4.39 inference(unit_resolution,[status(thm)],[49, 1042])).
% 4.18/4.39 tff(1044,plain,
% 4.18/4.39 (mult(mult(a, b), c) = mult(a, mult(c, b))),
% 4.18/4.39 inference(unit_resolution,[status(thm)],[51, 1043])).
% 4.18/4.39 tff(1045,plain,
% 4.18/4.39 (~(mult(mult(a, b), c) = mult(a, mult(b, c)))),
% 4.18/4.39 inference(unit_resolution,[status(thm)],[64, 1042])).
% 4.18/4.39 tff(1046,plain,
% 4.18/4.39 (mult(mult(a, c), b) = mult(a, mult(b, c))),
% 4.18/4.39 inference(unit_resolution,[status(thm)],[54, 1043])).
% 4.18/4.39 tff(1047,plain,
% 4.18/4.39 (~(mult(mult(a, b), mult(a, c)) = mult(a, mult(mult(a, c), b)))),
% 4.18/4.39 inference(unit_resolution,[status(thm)],[176, 116, 168, 115, 117])).
% 4.18/4.39 tff(1048,plain,
% 4.18/4.39 (~(mult(mult(a, mult(c, b)), a) = mult(a, mult(a, mult(c, b))))),
% 4.18/4.39 inference(unit_resolution,[status(thm)],[424, 40, 118, 146, 168, 106])).
% 4.18/4.39 tff(1049,plain,
% 4.18/4.39 ((~(mult(mult(a, a), mult(c, b)) = mult(a, mult(mult(c, b), a)))) | (~(mult(mult(a, mult(c, b)), a) = mult(a, mult(a, mult(c, b)))))),
% 4.18/4.39 inference(unit_resolution,[status(thm)],[88, 1048])).
% 4.18/4.39 tff(1050,plain,
% 4.18/4.39 ((~((~(mult(mult(a, a), mult(c, b)) = mult(a, mult(mult(c, b), a)))) | (~(mult(mult(a, mult(c, b)), a) = mult(a, mult(a, mult(c, b))))))) | (~((~(mult(mult(a, a), mult(c, b)) = mult(a, mult(a, mult(c, b))))) | (~(mult(mult(a, mult(c, b)), a) = mult(a, mult(mult(c, b), a))))))),
% 4.18/4.39 inference(unit_resolution,[status(thm)],[84, 30])).
% 4.18/4.39 tff(1051,plain,
% 4.18/4.39 (~((~(mult(mult(a, a), mult(c, b)) = mult(a, mult(a, mult(c, b))))) | (~(mult(mult(a, mult(c, b)), a) = mult(a, mult(mult(c, b), a)))))),
% 4.18/4.39 inference(unit_resolution,[status(thm)],[1050, 1049])).
% 4.18/4.39 tff(1052,plain,
% 4.18/4.39 (mult(mult(a, mult(c, b)), a) = mult(a, mult(mult(c, b), a))),
% 4.18/4.39 inference(unit_resolution,[status(thm)],[79, 1051])).
% 4.18/4.39 tff(1053,plain,
% 4.18/4.39 (mult(a, mult(mult(c, b), a)) = mult(mult(a, mult(c, b)), a)),
% 4.18/4.39 inference(symmetry,[status(thm)],[1052])).
% 4.18/4.39 tff(1054,plain,
% 4.18/4.39 (mult(c, mult(b, a)) = mult(mult(c, b), a)),
% 4.18/4.39 inference(symmetry,[status(thm)],[716])).
% 4.18/4.39 tff(1055,plain,
% 4.18/4.39 (mult(a, mult(c, mult(b, a))) = mult(a, mult(mult(c, b), a))),
% 4.18/4.39 inference(monotonicity,[status(thm)],[1054])).
% 4.18/4.39 tff(1056,plain,
% 4.18/4.39 (mult(a, mult(c, mult(b, a))) = mult(a, mult(b, mult(a, c)))),
% 4.18/4.39 inference(transitivity,[status(thm)],[1055, 1053, 260, 168, 146])).
% 4.18/4.39 tff(1057,plain,
% 4.18/4.39 (ld(a, mult(a, mult(c, mult(b, a)))) = ld(a, mult(a, mult(b, mult(a, c))))),
% 4.18/4.39 inference(monotonicity,[status(thm)],[1056])).
% 4.18/4.39 tff(1058,plain,
% 4.18/4.39 (ld(a, mult(a, mult(b, mult(a, c)))) = ld(a, mult(a, mult(c, mult(b, a))))),
% 4.18/4.39 inference(symmetry,[status(thm)],[1057])).
% 4.18/4.39 tff(1059,plain,
% 4.18/4.39 (mult(a, mult(b, mult(a, c))) = mult(a, mult(mult(b, a), c))),
% 4.18/4.39 inference(symmetry,[status(thm)],[148])).
% 4.18/4.39 tff(1060,plain,
% 4.18/4.39 (mult(a, mult(c, mult(b, a))) = mult(a, mult(mult(b, a), c))),
% 4.18/4.39 inference(transitivity,[status(thm)],[1055, 1053, 260, 168, 146, 1059])).
% 4.18/4.39 tff(1061,plain,
% 4.18/4.39 ((mult(mult(a, c), mult(b, a)) = mult(a, mult(c, mult(b, a)))) <=> (mult(mult(a, c), mult(b, a)) = mult(a, mult(mult(b, a), c)))),
% 4.18/4.39 inference(monotonicity,[status(thm)],[1060])).
% 4.18/4.39 tff(1062,plain,
% 4.18/4.39 (mult(c, mult(b, a)) = mult(mult(c, b), a)),
% 4.18/4.39 inference(symmetry,[status(thm)],[533])).
% 4.18/4.39 tff(1063,plain,
% 4.18/4.39 (mult(a, mult(c, mult(b, a))) = mult(a, mult(mult(c, b), a))),
% 4.18/4.39 inference(monotonicity,[status(thm)],[1062])).
% 4.18/4.39 tff(1064,plain,
% 4.18/4.39 (mult(a, mult(c, mult(b, a))) = mult(a, mult(mult(b, a), c))),
% 4.18/4.39 inference(transitivity,[status(thm)],[1063, 708, 260, 168, 404, 1059])).
% 4.18/4.39 tff(1065,plain,
% 4.18/4.39 ((mult(mult(a, c), mult(b, a)) = mult(a, mult(c, mult(b, a)))) <=> (mult(mult(a, c), mult(b, a)) = mult(a, mult(mult(b, a), c)))),
% 4.18/4.39 inference(monotonicity,[status(thm)],[1064])).
% 4.18/4.39 tff(1066,plain,
% 4.18/4.39 ((mult(mult(a, c), mult(b, a)) = mult(a, mult(mult(b, a), c))) <=> (mult(mult(a, c), mult(b, a)) = mult(a, mult(c, mult(b, a))))),
% 4.18/4.39 inference(symmetry,[status(thm)],[1065])).
% 4.18/4.39 tff(1067,plain,
% 4.18/4.39 (mult(mult(a, c), mult(b, a)) = mult(a, mult(c, mult(b, a)))),
% 4.18/4.39 inference(modus_ponens,[status(thm)],[135, 1066])).
% 4.18/4.39 tff(1068,plain,
% 4.18/4.39 ($false),
% 4.18/4.39 inference(unit_resolution,[status(thm)],[119, 1067])).
% 4.18/4.39 tff(1069,plain,((mult(mult(a, c), mult(b, a)) = mult(a, mult(c, mult(b, a)))) | (~(mult(mult(a, b), mult(a, c)) = mult(a, mult(b, mult(a, c))))) | (~(mult(mult(a, mult(c, b)), a) = mult(a, mult(mult(c, b), a)))) | (~(mult(mult(mult(a, b), c), a) = mult(mult(a, b), mult(a, c)))) | (~(mult(mult(a, b), c) = mult(a, mult(c, b)))) | (~(mult(mult(c, b), a) = mult(c, mult(b, a)))) | (~(mult(mult(b, a), c) = mult(b, mult(a, c))))), inference(lemma,lemma(discharge,[]))).
% 4.18/4.39 tff(1070,plain,
% 4.18/4.39 (mult(mult(a, c), mult(b, a)) = mult(a, mult(c, mult(b, a)))),
% 4.18/4.39 inference(unit_resolution,[status(thm)],[1069, 1052, 716, 168, 106, 146, 118])).
% 4.18/4.39 tff(1071,plain,
% 4.18/4.39 (mult(mult(a, c), mult(b, a)) = mult(a, mult(mult(b, a), c))),
% 4.18/4.39 inference(modus_ponens,[status(thm)],[1070, 1061])).
% 4.18/4.39 tff(1072,plain,
% 4.18/4.39 (~(mult(mult(mult(a, c), b), a) = mult(mult(a, c), mult(b, a)))),
% 4.18/4.39 inference(unit_resolution,[status(thm)],[162, 1071, 137, 118, 116, 117])).
% 4.18/4.39 tff(1073,plain,
% 4.18/4.39 ((~(mult(mult(mult(a, c), a), b) = mult(mult(a, c), mult(a, b)))) | (~(mult(mult(mult(a, c), b), a) = mult(mult(a, c), mult(b, a))))),
% 4.18/4.39 inference(unit_resolution,[status(thm)],[577, 1072])).
% 4.18/4.39 tff(1074,plain,
% 4.18/4.39 (~((~(mult(mult(mult(a, c), a), b) = mult(mult(a, c), mult(b, a)))) | (~(mult(mult(mult(a, c), b), a) = mult(mult(a, c), mult(a, b)))))),
% 4.18/4.39 inference(unit_resolution,[status(thm)],[620, 1073])).
% 4.18/4.39 tff(1075,plain,
% 4.18/4.39 (mult(mult(mult(a, c), a), b) = mult(mult(a, c), mult(b, a))),
% 4.18/4.39 inference(unit_resolution,[status(thm)],[954, 1074])).
% 4.18/4.39 tff(1076,plain,
% 4.18/4.39 (mult(mult(a, mult(a, c)), b) = mult(a, mult(mult(a, c), b))),
% 4.18/4.39 inference(unit_resolution,[status(thm)],[899, 144])).
% 4.18/4.39 tff(1077,plain,
% 4.18/4.39 (mult(mult(mult(a, c), a), b) = mult(mult(mult(a, c), b), a)),
% 4.18/4.39 inference(transitivity,[status(thm)],[937, 914, 150, 166, 215])).
% 4.18/4.39 tff(1078,plain,
% 4.18/4.39 ((mult(mult(mult(a, c), a), b) = mult(mult(a, c), mult(b, a))) <=> (mult(mult(mult(a, c), b), a) = mult(mult(a, c), mult(b, a)))),
% 4.18/4.39 inference(monotonicity,[status(thm)],[1077])).
% 4.18/4.39 tff(1079,plain,
% 4.18/4.39 (mult(mult(mult(a, c), a), b) = mult(mult(a, c), mult(b, a))),
% 4.18/4.39 inference(unit_resolution,[status(thm)],[954, 621])).
% 4.18/4.39 tff(1080,plain,
% 4.18/4.39 (mult(mult(mult(a, c), b), a) = mult(mult(a, c), mult(b, a))),
% 4.18/4.39 inference(modus_ponens,[status(thm)],[1079, 1078])).
% 4.18/4.39 tff(1081,plain,
% 4.18/4.39 ($false),
% 4.18/4.39 inference(unit_resolution,[status(thm)],[614, 1080])).
% 4.18/4.39 tff(1082,plain,((mult(mult(mult(a, c), b), a) = mult(mult(a, c), mult(b, a))) | (~(mult(mult(a, mult(a, c)), b) = mult(a, mult(mult(a, c), b)))) | (~(mult(mult(a, mult(b, c)), a) = mult(a, mult(a, mult(b, c))))) | (~(mult(mult(a, c), b) = mult(a, mult(b, c)))) | (~(mult(mult(a, c), a) = mult(a, mult(a, c))))), inference(lemma,lemma(discharge,[]))).
% 4.18/4.39 tff(1083,plain,
% 4.18/4.39 (~(mult(mult(a, c), a) = mult(a, mult(a, c)))),
% 4.18/4.39 inference(unit_resolution,[status(thm)],[1082, 1072, 116, 117, 1076])).
% 4.18/4.39 tff(1084,plain,
% 4.18/4.39 ((~(mult(mult(a, c), a) = mult(a, mult(a, c)))) | (~(mult(mult(a, a), c) = mult(a, mult(c, a))))),
% 4.18/4.39 inference(unit_resolution,[status(thm)],[895, 1083])).
% 4.18/4.39 tff(1085,plain,
% 4.18/4.39 (~((~(mult(mult(a, c), a) = mult(a, mult(c, a)))) | (~(mult(mult(a, a), c) = mult(a, mult(a, c)))))),
% 4.18/4.39 inference(unit_resolution,[status(thm)],[830, 1084])).
% 4.18/4.39 tff(1086,plain,
% 4.18/4.39 (mult(mult(a, c), a) = mult(a, mult(c, a))),
% 4.18/4.39 inference(unit_resolution,[status(thm)],[892, 1085])).
% 4.18/4.39 tff(1087,plain,
% 4.18/4.39 (mult(a, mult(c, a)) = mult(mult(a, c), a)),
% 4.18/4.39 inference(symmetry,[status(thm)],[1086])).
% 4.18/4.39 tff(1088,plain,
% 4.18/4.39 (mult(mult(a, mult(c, a)), b) = mult(mult(mult(a, c), a), b)),
% 4.18/4.39 inference(monotonicity,[status(thm)],[1087])).
% 4.18/4.39 tff(1089,plain,
% 4.18/4.39 (mult(a, mult(mult(c, a), b)) = mult(a, mult(b, mult(a, c)))),
% 4.18/4.39 inference(transitivity,[status(thm)],[983, 1088, 1075, 1071, 148])).
% 4.18/4.39 tff(1090,plain,
% 4.18/4.39 (ld(a, mult(a, mult(mult(c, a), b))) = ld(a, mult(a, mult(b, mult(a, c))))),
% 4.18/4.39 inference(monotonicity,[status(thm)],[1089])).
% 4.18/4.39 tff(1091,plain,
% 4.18/4.39 (mult(mult(c, a), b) = mult(c, mult(b, a))),
% 4.18/4.39 inference(transitivity,[status(thm)],[210, 1090, 1058, 531])).
% 4.18/4.39 tff(1092,plain,
% 4.18/4.39 ($false),
% 4.18/4.39 inference(unit_resolution,[status(thm)],[40, 1091])).
% 4.18/4.39 tff(1093,plain,((mult(mult(c, a), b) = mult(c, mult(b, a))) | (~(mult(mult(mult(a, b), c), a) = mult(mult(a, b), mult(a, c)))) | (~(mult(mult(a, b), c) = mult(a, mult(c, b)))) | (~(mult(mult(a, mult(c, a)), b) = mult(a, mult(mult(c, a), b)))) | (~(mult(mult(b, a), c) = mult(b, mult(a, c)))) | (~(mult(mult(a, mult(b, c)), a) = mult(a, mult(a, mult(b, c))))) | (~(mult(mult(a, c), b) = mult(a, mult(b, c)))) | (mult(mult(a, b), mult(a, c)) = mult(a, mult(mult(a, c), b)))), inference(lemma,lemma(discharge,[]))).
% 4.18/4.39 tff(1094,plain,
% 4.18/4.39 (mult(mult(c, a), b) = mult(c, mult(b, a))),
% 4.18/4.39 inference(unit_resolution,[status(thm)],[1093, 116, 106, 742, 118, 168, 117, 1047])).
% 4.18/4.39 tff(1095,plain,
% 4.18/4.39 (~(mult(mult(mult(a, c), b), a) = mult(mult(a, c), mult(b, a)))),
% 4.18/4.39 inference(unit_resolution,[status(thm)],[365, 116, 118, 117, 14, 1094, 1047])).
% 4.18/4.39 tff(1096,plain,
% 4.18/4.39 ((~(mult(mult(mult(a, c), a), b) = mult(mult(a, c), mult(a, b)))) | (~(mult(mult(mult(a, c), b), a) = mult(mult(a, c), mult(b, a))))),
% 4.18/4.39 inference(unit_resolution,[status(thm)],[577, 1095])).
% 4.18/4.39 tff(1097,plain,
% 4.18/4.39 (~((~(mult(mult(mult(a, c), a), b) = mult(mult(a, c), mult(b, a)))) | (~(mult(mult(mult(a, c), b), a) = mult(mult(a, c), mult(a, b)))))),
% 4.18/4.39 inference(unit_resolution,[status(thm)],[620, 1096])).
% 4.18/4.39 tff(1098,plain,
% 4.18/4.40 (mult(mult(mult(a, c), b), a) = mult(mult(a, c), mult(a, b))),
% 4.18/4.40 inference(unit_resolution,[status(thm)],[591, 1097])).
% 4.18/4.40 tff(1099,plain,
% 4.18/4.40 ((~(mult(mult(a, mult(a, c)), b) = mult(a, mult(b, mult(a, c))))) | (~(mult(mult(a, b), mult(a, c)) = mult(a, mult(mult(a, c), b))))),
% 4.18/4.40 inference(unit_resolution,[status(thm)],[138, 1047])).
% 4.18/4.40 tff(1100,plain,
% 4.18/4.40 (~((~(mult(mult(a, mult(a, c)), b) = mult(a, mult(mult(a, c), b)))) | (~(mult(mult(a, b), mult(a, c)) = mult(a, mult(b, mult(a, c))))))),
% 4.18/4.40 inference(unit_resolution,[status(thm)],[143, 1099])).
% 4.18/4.40 tff(1101,plain,
% 4.18/4.40 (mult(mult(a, b), mult(a, c)) = mult(a, mult(b, mult(a, c)))),
% 4.18/4.40 inference(unit_resolution,[status(thm)],[145, 1100])).
% 4.18/4.40 tff(1102,plain,
% 4.18/4.40 (~(mult(mult(a, mult(c, b)), a) = mult(a, mult(a, mult(c, b))))),
% 4.18/4.40 inference(unit_resolution,[status(thm)],[625, 1095, 118, 1101, 168, 106])).
% 4.18/4.40 tff(1103,plain,
% 4.18/4.40 ((~(mult(mult(a, a), mult(c, b)) = mult(a, mult(mult(c, b), a)))) | (~(mult(mult(a, mult(c, b)), a) = mult(a, mult(a, mult(c, b)))))),
% 4.18/4.40 inference(unit_resolution,[status(thm)],[88, 1102])).
% 4.18/4.40 tff(1104,plain,
% 4.18/4.40 (~((~(mult(mult(a, a), mult(c, b)) = mult(a, mult(a, mult(c, b))))) | (~(mult(mult(a, mult(c, b)), a) = mult(a, mult(mult(c, b), a)))))),
% 4.18/4.40 inference(unit_resolution,[status(thm)],[1050, 1103])).
% 4.18/4.40 tff(1105,plain,
% 4.18/4.40 (mult(mult(a, mult(c, b)), a) = mult(a, mult(mult(c, b), a))),
% 4.18/4.40 inference(unit_resolution,[status(thm)],[79, 1104])).
% 4.18/4.40 tff(1106,plain,
% 4.18/4.40 (mult(mult(a, c), mult(a, b)) = mult(mult(mult(a, c), b), a)),
% 4.18/4.40 inference(symmetry,[status(thm)],[594])).
% 4.18/4.40 tff(1107,plain,
% 4.18/4.40 (mult(a, mult(b, mult(a, c))) = mult(mult(a, b), mult(a, c))),
% 4.18/4.40 inference(symmetry,[status(thm)],[1101])).
% 4.18/4.40 tff(1108,plain,
% 4.18/4.40 (mult(a, mult(mult(c, b), a)) = mult(a, mult(b, mult(a, c)))),
% 4.18/4.40 inference(transitivity,[status(thm)],[708, 260, 168, 1101])).
% 4.18/4.40 tff(1109,plain,
% 4.18/4.40 (ld(a, mult(a, mult(mult(c, b), a))) = ld(a, mult(a, mult(b, mult(a, c))))),
% 4.18/4.40 inference(monotonicity,[status(thm)],[1108])).
% 4.18/4.40 tff(1110,assumption,(mult(mult(c, b), a) = mult(c, mult(a, b))), introduced(assumption)).
% 4.18/4.40 tff(1111,plain,
% 4.18/4.40 (mult(c, mult(a, b)) = mult(mult(c, b), a)),
% 4.18/4.40 inference(symmetry,[status(thm)],[1110])).
% 4.18/4.40 tff(1112,plain,
% 4.18/4.40 (mult(c, mult(a, b)) = mult(b, mult(a, c))),
% 4.18/4.40 inference(transitivity,[status(thm)],[1111, 713, 1109, 409])).
% 4.18/4.40 tff(1113,plain,
% 4.18/4.40 (mult(a, mult(c, mult(a, b))) = mult(a, mult(b, mult(a, c)))),
% 4.18/4.40 inference(monotonicity,[status(thm)],[1112])).
% 4.18/4.40 tff(1114,plain,
% 4.18/4.40 (mult(a, mult(c, mult(a, b))) = mult(mult(a, b), mult(a, c))),
% 4.18/4.40 inference(transitivity,[status(thm)],[1113, 1107])).
% 4.18/4.40 tff(1115,plain,
% 4.18/4.40 (mult(mult(a, c), mult(a, b)) = mult(a, mult(mult(a, c), b))),
% 4.18/4.40 inference(transitivity,[status(thm)],[1106, 152, 116, 151])).
% 4.18/4.40 tff(1116,plain,
% 4.18/4.40 ((mult(mult(a, c), mult(a, b)) = mult(a, mult(c, mult(a, b)))) <=> (mult(a, mult(mult(a, c), b)) = mult(mult(a, b), mult(a, c)))),
% 4.18/4.40 inference(monotonicity,[status(thm)],[1115, 1114])).
% 4.18/4.40 tff(1117,plain,
% 4.18/4.40 ((mult(mult(a, c), mult(a, b)) = mult(a, mult(c, mult(a, b)))) <=> (mult(mult(a, b), mult(a, c)) = mult(a, mult(mult(a, c), b)))),
% 4.18/4.40 inference(transitivity,[status(thm)],[1116, 136])).
% 4.18/4.40 tff(1118,plain,
% 4.18/4.40 ((mult(mult(a, b), mult(a, c)) = mult(a, mult(mult(a, c), b))) <=> (mult(mult(a, c), mult(a, b)) = mult(a, mult(c, mult(a, b))))),
% 4.18/4.40 inference(symmetry,[status(thm)],[1117])).
% 4.18/4.40 tff(1119,plain,
% 4.18/4.40 ((~(mult(mult(a, b), mult(a, c)) = mult(a, mult(mult(a, c), b)))) <=> (~(mult(mult(a, c), mult(a, b)) = mult(a, mult(c, mult(a, b)))))),
% 4.18/4.40 inference(monotonicity,[status(thm)],[1118])).
% 4.18/4.40 tff(1120,plain,
% 4.18/4.40 (~(mult(mult(a, c), mult(a, b)) = mult(a, mult(c, mult(a, b))))),
% 4.18/4.40 inference(modus_ponens,[status(thm)],[1047, 1119])).
% 4.18/4.40 tff(1121,plain,
% 4.18/4.40 ((~(mult(mult(a, mult(a, b)), c) = mult(a, mult(mult(a, b), c)))) | (~(mult(mult(a, c), mult(a, b)) = mult(a, mult(c, mult(a, b)))))),
% 4.18/4.40 inference(unit_resolution,[status(thm)],[604, 1120])).
% 4.18/4.40 tff(1122,plain,
% 4.18/4.40 (~((~(mult(mult(a, mult(a, b)), c) = mult(a, mult(c, mult(a, b))))) | (~(mult(mult(a, c), mult(a, b)) = mult(a, mult(mult(a, b), c)))))),
% 4.18/4.40 inference(unit_resolution,[status(thm)],[292, 1121])).
% 4.18/4.40 tff(1123,plain,
% 4.18/4.40 (mult(mult(a, c), mult(a, b)) = mult(a, mult(mult(a, b), c))),
% 4.18/4.40 inference(unit_resolution,[status(thm)],[601, 1122])).
% 4.18/4.40 tff(1124,plain,
% 4.18/4.40 (mult(a, mult(mult(a, b), c)) = mult(mult(a, c), mult(a, b))),
% 4.18/4.40 inference(symmetry,[status(thm)],[1123])).
% 4.18/4.40 tff(1125,plain,
% 4.18/4.40 (mult(a, mult(mult(a, b), c)) = mult(a, mult(a, mult(b, c)))),
% 4.18/4.40 inference(transitivity,[status(thm)],[1124, 1106, 152, 116])).
% 4.18/4.40 tff(1126,plain,
% 4.18/4.40 (ld(a, mult(a, mult(mult(a, b), c))) = ld(a, mult(a, mult(a, mult(b, c))))),
% 4.18/4.40 inference(monotonicity,[status(thm)],[1125])).
% 4.18/4.40 tff(1127,plain,
% 4.18/4.40 (mult(mult(a, b), c) = mult(a, mult(b, c))),
% 4.18/4.40 inference(transitivity,[status(thm)],[561, 1126, 346])).
% 4.18/4.40 tff(1128,plain,
% 4.18/4.40 ($false),
% 4.18/4.40 inference(unit_resolution,[status(thm)],[115, 1127])).
% 4.18/4.40 tff(1129,plain,((~(mult(mult(mult(a, c), b), a) = mult(mult(a, c), mult(a, b)))) | (mult(mult(a, b), c) = mult(a, mult(b, c))) | (~(mult(mult(a, mult(b, c)), a) = mult(a, mult(a, mult(b, c))))) | (~(mult(mult(a, c), b) = mult(a, mult(b, c)))) | (~(mult(mult(c, b), a) = mult(c, mult(a, b)))) | (~(mult(mult(a, mult(c, b)), a) = mult(a, mult(mult(c, b), a)))) | (~(mult(mult(mult(a, b), c), a) = mult(mult(a, b), mult(a, c)))) | (~(mult(mult(a, b), c) = mult(a, mult(c, b))))), inference(lemma,lemma(discharge,[]))).
% 4.18/4.40 tff(1130,plain,
% 4.18/4.40 (~(mult(mult(c, b), a) = mult(c, mult(a, b)))),
% 4.18/4.40 inference(unit_resolution,[status(thm)],[1129, 1105, 116, 117, 115, 1098, 168, 106])).
% 4.18/4.40 tff(1131,plain,
% 4.18/4.40 ((~(mult(mult(c, b), a) = mult(c, mult(a, b)))) | (~(mult(mult(c, a), b) = mult(c, mult(b, a))))),
% 4.18/4.40 inference(unit_resolution,[status(thm)],[546, 1130])).
% 4.18/4.40 tff(1132,plain,
% 4.18/4.40 (~((~(mult(mult(c, b), a) = mult(c, mult(b, a)))) | (~(mult(mult(c, a), b) = mult(c, mult(a, b)))))),
% 4.18/4.40 inference(unit_resolution,[status(thm)],[301, 1131])).
% 4.18/4.40 tff(1133,plain,
% 4.18/4.40 (mult(mult(c, a), b) = mult(c, mult(a, b))),
% 4.18/4.40 inference(unit_resolution,[status(thm)],[296, 1132])).
% 4.18/4.40 tff(1134,plain,
% 4.18/4.40 (mult(c, mult(a, b)) = mult(mult(c, a), b)),
% 4.18/4.40 inference(symmetry,[status(thm)],[1133])).
% 4.18/4.40 tff(1135,plain,
% 4.18/4.40 (mult(c, mult(a, b)) = mult(c, mult(b, a))),
% 4.18/4.40 inference(transitivity,[status(thm)],[1134, 1094])).
% 4.18/4.40 tff(1136,plain,
% 4.18/4.40 ((mult(mult(c, b), a) = mult(c, mult(a, b))) <=> (mult(mult(c, b), a) = mult(c, mult(b, a)))),
% 4.18/4.40 inference(monotonicity,[status(thm)],[1135])).
% 4.18/4.40 tff(1137,plain,
% 4.18/4.40 ((mult(mult(c, b), a) = mult(c, mult(b, a))) <=> (mult(mult(c, b), a) = mult(c, mult(a, b)))),
% 4.18/4.40 inference(symmetry,[status(thm)],[1136])).
% 4.18/4.40 tff(1138,plain,
% 4.18/4.40 (mult(mult(c, b), a) = mult(c, mult(b, a))),
% 4.18/4.40 inference(unit_resolution,[status(thm)],[543, 1132])).
% 4.18/4.40 tff(1139,plain,
% 4.18/4.40 (mult(mult(c, b), a) = mult(c, mult(a, b))),
% 4.18/4.40 inference(modus_ponens,[status(thm)],[1138, 1137])).
% 4.18/4.40 tff(1140,plain,
% 4.18/4.40 ($false),
% 4.18/4.40 inference(unit_resolution,[status(thm)],[1130, 1139])).
% 4.18/4.40 tff(1141,plain,((~(mult(mult(a, mult(b, c)), a) = mult(a, mult(a, mult(b, c))))) | (~(mult(mult(a, c), b) = mult(a, mult(b, c)))) | (mult(mult(a, b), c) = mult(a, mult(b, c))) | (~(mult(mult(mult(a, b), c), a) = mult(mult(a, b), mult(a, c)))) | (~(mult(mult(a, b), c) = mult(a, mult(c, b)))) | (~(mult(mult(b, a), c) = mult(b, mult(a, c)))) | (mult(mult(b, a), c) = mult(b, mult(c, a))) | (~(mult(mult(a, mult(c, a)), b) = mult(a, mult(mult(c, a), b))))), inference(lemma,lemma(discharge,[]))).
% 4.18/4.40 tff(1142,plain,
% 4.18/4.40 (~(mult(mult(a, mult(b, c)), a) = mult(a, mult(a, mult(b, c))))),
% 4.18/4.40 inference(unit_resolution,[status(thm)],[1141, 1046, 1045, 776, 1044, 747, 753, 742])).
% 4.18/4.40 tff(1143,plain,
% 4.18/4.40 ((~(mult(mult(a, mult(b, c)), a) = mult(a, mult(a, mult(b, c))))) | (~(mult(mult(a, a), mult(b, c)) = mult(a, mult(mult(b, c), a))))),
% 4.18/4.40 inference(unit_resolution,[status(thm)],[786, 1142])).
% 4.18/4.40 tff(1144,plain,
% 4.18/4.40 (~((~(mult(mult(a, mult(b, c)), a) = mult(a, mult(mult(b, c), a)))) | (~(mult(mult(a, a), mult(b, c)) = mult(a, mult(a, mult(b, c))))))),
% 4.18/4.40 inference(unit_resolution,[status(thm)],[658, 1143])).
% 4.18/4.40 tff(1145,plain,
% 4.18/4.40 (((~(mult(mult(a, mult(b, c)), a) = mult(a, mult(mult(b, c), a)))) | (~(mult(mult(a, a), mult(b, c)) = mult(a, mult(a, mult(b, c)))))) | (mult(mult(a, a), mult(b, c)) = mult(a, mult(a, mult(b, c))))),
% 4.18/4.40 inference(tautology,[status(thm)],[])).
% 4.18/4.40 tff(1146,plain,
% 4.18/4.40 (mult(mult(a, a), mult(b, c)) = mult(a, mult(a, mult(b, c)))),
% 4.18/4.40 inference(unit_resolution,[status(thm)],[1145, 1144])).
% 4.18/4.40 tff(1147,plain,
% 4.18/4.40 (mult(a, mult(a, mult(b, c))) = mult(mult(a, a), mult(b, c))),
% 4.18/4.40 inference(symmetry,[status(thm)],[1146])).
% 4.18/4.40 tff(1148,plain,
% 4.18/4.40 (mult(mult(a, mult(b, c)), a) = mult(a, mult(mult(b, c), a))),
% 4.18/4.40 inference(unit_resolution,[status(thm)],[660, 1144])).
% 4.18/4.40 tff(1149,plain,
% 4.18/4.40 ((mult(mult(a, mult(b, c)), a) = mult(a, mult(a, mult(b, c)))) <=> (mult(a, mult(mult(b, c), a)) = mult(mult(a, a), mult(b, c)))),
% 4.18/4.40 inference(monotonicity,[status(thm)],[1148, 1147])).
% 4.18/4.40 tff(1150,plain,
% 4.18/4.40 ((mult(mult(a, mult(b, c)), a) = mult(a, mult(a, mult(b, c)))) <=> (mult(mult(a, a), mult(b, c)) = mult(a, mult(mult(b, c), a)))),
% 4.18/4.40 inference(transitivity,[status(thm)],[1149, 741])).
% 4.18/4.40 tff(1151,plain,
% 4.18/4.40 ((mult(mult(a, a), mult(b, c)) = mult(a, mult(mult(b, c), a))) <=> (mult(mult(a, mult(b, c)), a) = mult(a, mult(a, mult(b, c))))),
% 4.18/4.40 inference(symmetry,[status(thm)],[1150])).
% 4.18/4.40 tff(1152,plain,
% 4.18/4.40 ((mult(a, mult(b, mult(c, a))) = mult(mult(a, mult(c, a)), b)) <=> (mult(mult(a, mult(c, a)), b) = mult(a, mult(b, mult(c, a))))),
% 4.18/4.40 inference(commutativity,[status(thm)],[])).
% 4.18/4.40 tff(1153,assumption,(~(mult(mult(a, a), mult(b, c)) = mult(a, mult(mult(b, c), a)))), introduced(assumption)).
% 4.18/4.40 tff(1154,assumption,(mult(mult(a, a), mult(b, c)) = mult(a, mult(a, mult(b, c)))), introduced(assumption)).
% 4.18/4.40 tff(1155,plain,
% 4.18/4.40 ((~(mult(mult(a, c), b) = mult(a, mult(c, b)))) | (~(mult(mult(a, b), c) = mult(a, mult(b, c))))),
% 4.18/4.40 inference(unit_resolution,[status(thm)],[1041, 102, 733, 118, 14, 754, 742])).
% 4.18/4.40 tff(1156,plain,
% 4.18/4.40 (~((~(mult(mult(a, c), b) = mult(a, mult(b, c)))) | (~(mult(mult(a, b), c) = mult(a, mult(c, b)))))),
% 4.18/4.40 inference(unit_resolution,[status(thm)],[49, 1155])).
% 4.18/4.40 tff(1157,plain,
% 4.18/4.40 (mult(mult(a, c), b) = mult(a, mult(b, c))),
% 4.18/4.40 inference(unit_resolution,[status(thm)],[54, 1156])).
% 4.18/4.40 tff(1158,plain,
% 4.18/4.40 (mult(mult(mult(a, c), b), a) = mult(mult(a, mult(b, c)), a)),
% 4.18/4.40 inference(monotonicity,[status(thm)],[1157])).
% 4.18/4.40 tff(1159,assumption,(~(mult(mult(a, b), mult(a, c)) = mult(a, mult(b, mult(a, c))))), introduced(assumption)).
% 4.18/4.40 tff(1160,plain,
% 4.18/4.40 (mult(mult(a, b), c) = mult(a, mult(c, b))),
% 4.18/4.40 inference(unit_resolution,[status(thm)],[51, 1156])).
% 4.18/4.40 tff(1161,plain,
% 4.18/4.40 ((~(mult(mult(a, mult(a, c)), b) = mult(a, mult(mult(a, c), b)))) | (~(mult(mult(a, b), mult(a, c)) = mult(a, mult(b, mult(a, c)))))),
% 4.18/4.40 inference(unit_resolution,[status(thm)],[145, 1159])).
% 4.18/4.40 tff(1162,plain,
% 4.18/4.40 (~((~(mult(mult(a, mult(a, c)), b) = mult(a, mult(b, mult(a, c))))) | (~(mult(mult(a, b), mult(a, c)) = mult(a, mult(mult(a, c), b)))))),
% 4.18/4.40 inference(unit_resolution,[status(thm)],[143, 1161])).
% 4.18/4.40 tff(1163,plain,
% 4.18/4.40 (mult(mult(a, b), mult(a, c)) = mult(a, mult(mult(a, c), b))),
% 4.18/4.40 inference(unit_resolution,[status(thm)],[138, 1162])).
% 4.18/4.40 tff(1164,plain,
% 4.18/4.40 (~(mult(mult(a, mult(c, b)), a) = mult(a, mult(a, mult(c, b))))),
% 4.18/4.40 inference(unit_resolution,[status(thm)],[564, 1163, 776, 115, 1157, 1160])).
% 4.18/4.40 tff(1165,plain,
% 4.18/4.40 ((~(mult(mult(a, a), mult(c, b)) = mult(a, mult(mult(c, b), a)))) | (~(mult(mult(a, mult(c, b)), a) = mult(a, mult(a, mult(c, b)))))),
% 4.18/4.40 inference(unit_resolution,[status(thm)],[88, 1164])).
% 4.18/4.40 tff(1166,plain,
% 4.18/4.40 (~((~(mult(mult(a, a), mult(c, b)) = mult(a, mult(a, mult(c, b))))) | (~(mult(mult(a, mult(c, b)), a) = mult(a, mult(mult(c, b), a)))))),
% 4.18/4.40 inference(unit_resolution,[status(thm)],[1050, 1165])).
% 4.18/4.40 tff(1167,plain,
% 4.18/4.40 (((~(mult(mult(a, a), mult(c, b)) = mult(a, mult(a, mult(c, b))))) | (~(mult(mult(a, mult(c, b)), a) = mult(a, mult(mult(c, b), a))))) | (mult(mult(a, a), mult(c, b)) = mult(a, mult(a, mult(c, b))))),
% 4.18/4.40 inference(tautology,[status(thm)],[])).
% 4.18/4.40 tff(1168,plain,
% 4.18/4.40 (mult(mult(a, a), mult(c, b)) = mult(a, mult(a, mult(c, b)))),
% 4.18/4.40 inference(unit_resolution,[status(thm)],[1167, 1166])).
% 4.18/4.40 tff(1169,plain,
% 4.18/4.40 ((mult(a, mult(b, mult(a, c))) = mult(mult(a, b), mult(a, c))) <=> (mult(mult(a, b), mult(a, c)) = mult(a, mult(b, mult(a, c))))),
% 4.18/4.40 inference(commutativity,[status(thm)],[])).
% 4.18/4.40 tff(1170,plain,
% 4.18/4.40 (mult(a, mult(mult(a, c), b)) = mult(mult(a, b), mult(a, c))),
% 4.18/4.40 inference(symmetry,[status(thm)],[1163])).
% 4.18/4.40 tff(1171,plain,
% 4.18/4.40 (mult(mult(a, a), mult(b, c)) = mult(mult(a, b), mult(a, c))),
% 4.18/4.40 inference(transitivity,[status(thm)],[1154, 151, 1170])).
% 4.18/4.40 tff(1172,plain,
% 4.18/4.40 (mult(mult(a, mult(a, c)), b) = mult(a, mult(b, mult(a, c)))),
% 4.18/4.40 inference(unit_resolution,[status(thm)],[836, 1162])).
% 4.18/4.40 tff(1173,assumption,(~((~(mult(mult(a, c), a) = mult(a, mult(c, a)))) | (~(mult(mult(a, a), c) = mult(a, mult(a, c)))))), introduced(assumption)).
% 4.18/4.40 tff(1174,plain,
% 4.18/4.40 (mult(mult(a, a), c) = mult(a, mult(a, c))),
% 4.18/4.40 inference(unit_resolution,[status(thm)],[832, 1173])).
% 4.18/4.40 tff(1175,plain,
% 4.18/4.40 (mult(mult(mult(a, a), c), b) = mult(mult(a, mult(a, c)), b)),
% 4.18/4.40 inference(monotonicity,[status(thm)],[1174])).
% 4.18/4.40 tff(1176,plain,
% 4.18/4.40 (mult(mult(mult(a, a), c), b) = mult(a, mult(b, mult(a, c)))),
% 4.18/4.40 inference(transitivity,[status(thm)],[1175, 1172])).
% 4.18/4.40 tff(1177,plain,
% 4.18/4.40 ((mult(mult(mult(a, a), c), b) = mult(mult(a, a), mult(b, c))) <=> (mult(a, mult(b, mult(a, c))) = mult(mult(a, b), mult(a, c)))),
% 4.18/4.40 inference(monotonicity,[status(thm)],[1176, 1171])).
% 4.18/4.40 tff(1178,plain,
% 4.18/4.40 ((mult(mult(mult(a, a), c), b) = mult(mult(a, a), mult(b, c))) <=> (mult(mult(a, b), mult(a, c)) = mult(a, mult(b, mult(a, c))))),
% 4.18/4.40 inference(transitivity,[status(thm)],[1177, 1169])).
% 4.18/4.40 tff(1179,plain,
% 4.18/4.40 ((mult(mult(a, b), mult(a, c)) = mult(a, mult(b, mult(a, c)))) <=> (mult(mult(mult(a, a), c), b) = mult(mult(a, a), mult(b, c)))),
% 4.18/4.40 inference(symmetry,[status(thm)],[1178])).
% 4.18/4.40 tff(1180,plain,
% 4.18/4.40 ((~(mult(mult(a, b), mult(a, c)) = mult(a, mult(b, mult(a, c))))) <=> (~(mult(mult(mult(a, a), c), b) = mult(mult(a, a), mult(b, c))))),
% 4.18/4.40 inference(monotonicity,[status(thm)],[1179])).
% 4.18/4.40 tff(1181,plain,
% 4.18/4.40 (~(mult(mult(mult(a, a), c), b) = mult(mult(a, a), mult(b, c)))),
% 4.18/4.40 inference(modus_ponens,[status(thm)],[1159, 1180])).
% 4.18/4.40 tff(1182,plain,
% 4.18/4.40 ((~(mult(mult(mult(a, a), b), c) = mult(mult(a, a), mult(c, b)))) | (~(mult(mult(mult(a, a), c), b) = mult(mult(a, a), mult(b, c))))),
% 4.18/4.40 inference(unit_resolution,[status(thm)],[1012, 1181])).
% 4.18/4.40 tff(1183,plain,
% 4.18/4.40 (~((~(mult(mult(mult(a, a), b), c) = mult(mult(a, a), mult(b, c)))) | (~(mult(mult(mult(a, a), c), b) = mult(mult(a, a), mult(c, b)))))),
% 4.18/4.40 inference(unit_resolution,[status(thm)],[1010, 1182])).
% 4.18/4.40 tff(1184,plain,
% 4.18/4.40 (mult(mult(mult(a, a), c), b) = mult(mult(a, a), mult(c, b))),
% 4.18/4.40 inference(unit_resolution,[status(thm)],[1006, 1183])).
% 4.18/4.40 tff(1185,plain,
% 4.18/4.40 (mult(mult(a, mult(a, c)), b) = mult(mult(mult(a, a), c), b)),
% 4.18/4.40 inference(symmetry,[status(thm)],[1175])).
% 4.18/4.40 tff(1186,plain,
% 4.18/4.40 (mult(a, mult(b, mult(a, c))) = mult(mult(a, mult(a, c)), b)),
% 4.18/4.40 inference(symmetry,[status(thm)],[1172])).
% 4.18/4.40 tff(1187,plain,
% 4.18/4.40 (mult(a, mult(b, mult(a, c))) = mult(a, mult(mult(a, b), c))),
% 4.18/4.40 inference(transitivity,[status(thm)],[1186, 1185, 1184, 911, 259])).
% 4.18/4.40 tff(1188,plain,
% 4.18/4.40 (ld(a, mult(a, mult(b, mult(a, c)))) = ld(a, mult(a, mult(mult(a, b), c)))),
% 4.18/4.40 inference(monotonicity,[status(thm)],[1187])).
% 4.18/4.40 tff(1189,plain,
% 4.18/4.40 (mult(mult(b, a), c) = mult(mult(a, b), c)),
% 4.18/4.40 inference(transitivity,[status(thm)],[118, 410, 1188, 114])).
% 4.18/4.40 tff(1190,plain,
% 4.18/4.40 (mult(mult(mult(b, a), c), a) = mult(mult(mult(a, b), c), a)),
% 4.18/4.40 inference(monotonicity,[status(thm)],[1189])).
% 4.18/4.40 tff(1191,plain,
% 4.18/4.40 (mult(mult(a, c), a) = mult(a, mult(c, a))),
% 4.18/4.40 inference(unit_resolution,[status(thm)],[892, 1173])).
% 4.18/4.40 tff(1192,plain,
% 4.18/4.40 (mult(a, mult(c, a)) = mult(mult(a, c), a)),
% 4.18/4.40 inference(symmetry,[status(thm)],[1191])).
% 4.18/4.40 tff(1193,plain,
% 4.18/4.40 (mult(b, mult(a, mult(c, a))) = mult(b, mult(mult(a, c), a))),
% 4.18/4.40 inference(monotonicity,[status(thm)],[1192])).
% 4.18/4.40 tff(1194,plain,
% 4.18/4.40 (mult(a, mult(a, mult(b, c))) = mult(mult(a, a), mult(b, c))),
% 4.18/4.40 inference(symmetry,[status(thm)],[1154])).
% 4.18/4.40 tff(1195,plain,
% 4.18/4.40 (mult(b, mult(a, mult(c, a))) = mult(mult(a, a), mult(b, c))),
% 4.18/4.40 inference(transitivity,[status(thm)],[1193, 863, 1190, 776, 1163, 150, 1194])).
% 4.18/4.40 tff(1196,plain,
% 4.18/4.40 (mult(a, mult(b, mult(c, a))) = mult(a, mult(mult(b, c), a))),
% 4.18/4.40 inference(symmetry,[status(thm)],[103])).
% 4.18/4.40 tff(1197,plain,
% 4.18/4.40 (rd(mult(mult(b, a), c), c) = rd(mult(mult(a, b), c), c)),
% 4.18/4.40 inference(monotonicity,[status(thm)],[1189])).
% 4.18/4.40 tff(1198,plain,
% 4.18/4.40 (mult(b, a) = mult(a, b)),
% 4.18/4.40 inference(transitivity,[status(thm)],[415, 1197, 402])).
% 4.18/4.40 tff(1199,plain,
% 4.18/4.40 (mult(mult(b, a), mult(c, a)) = mult(mult(a, b), mult(c, a))),
% 4.18/4.40 inference(monotonicity,[status(thm)],[1198])).
% 4.18/4.40 tff(1200,plain,
% 4.18/4.40 (mult(mult(b, a), mult(c, a)) = mult(a, mult(mult(b, c), a))),
% 4.18/4.40 inference(transitivity,[status(thm)],[1199, 754, 1196])).
% 4.18/4.40 tff(1201,plain,
% 4.18/4.40 ((mult(mult(b, a), mult(c, a)) = mult(b, mult(a, mult(c, a)))) <=> (mult(a, mult(mult(b, c), a)) = mult(mult(a, a), mult(b, c)))),
% 4.18/4.40 inference(monotonicity,[status(thm)],[1200, 1195])).
% 4.18/4.40 tff(1202,plain,
% 4.18/4.40 ((mult(mult(b, a), mult(c, a)) = mult(b, mult(a, mult(c, a)))) <=> (mult(mult(a, a), mult(b, c)) = mult(a, mult(mult(b, c), a)))),
% 4.18/4.40 inference(transitivity,[status(thm)],[1201, 741])).
% 4.18/4.40 tff(1203,plain,
% 4.18/4.40 ((mult(mult(a, a), mult(b, c)) = mult(a, mult(mult(b, c), a))) <=> (mult(mult(b, a), mult(c, a)) = mult(b, mult(a, mult(c, a))))),
% 4.18/4.40 inference(symmetry,[status(thm)],[1202])).
% 4.18/4.40 tff(1204,plain,
% 4.18/4.40 ((~(mult(mult(a, a), mult(b, c)) = mult(a, mult(mult(b, c), a)))) <=> (~(mult(mult(b, a), mult(c, a)) = mult(b, mult(a, mult(c, a)))))),
% 4.18/4.40 inference(monotonicity,[status(thm)],[1203])).
% 4.18/4.40 tff(1205,plain,
% 4.18/4.40 (~(mult(mult(b, a), mult(c, a)) = mult(b, mult(a, mult(c, a))))),
% 4.18/4.40 inference(modus_ponens,[status(thm)],[1153, 1204])).
% 4.18/4.40 tff(1206,plain,
% 4.18/4.40 ((~(mult(mult(b, mult(c, a)), a) = mult(b, mult(mult(c, a), a)))) | (~(mult(mult(b, a), mult(c, a)) = mult(b, mult(a, mult(c, a)))))),
% 4.18/4.40 inference(unit_resolution,[status(thm)],[876, 1205])).
% 4.18/4.40 tff(1207,plain,
% 4.18/4.40 (~((~(mult(mult(b, mult(c, a)), a) = mult(b, mult(a, mult(c, a))))) | (~(mult(mult(b, a), mult(c, a)) = mult(b, mult(mult(c, a), a)))))),
% 4.18/4.40 inference(unit_resolution,[status(thm)],[881, 1206])).
% 4.18/4.40 tff(1208,plain,
% 4.18/4.40 (mult(mult(b, mult(c, a)), a) = mult(b, mult(a, mult(c, a)))),
% 4.18/4.40 inference(unit_resolution,[status(thm)],[883, 1207])).
% 4.18/4.40 tff(1209,plain,
% 4.18/4.40 (mult(mult(b, mult(c, a)), a) = mult(mult(mult(a, b), c), a)),
% 4.18/4.40 inference(transitivity,[status(thm)],[1208, 1193, 863, 1190])).
% 4.18/4.40 tff(1210,plain,
% 4.18/4.40 (rd(mult(mult(b, mult(c, a)), a), a) = rd(mult(mult(mult(a, b), c), a), a)),
% 4.18/4.40 inference(monotonicity,[status(thm)],[1209])).
% 4.18/4.40 tff(1211,plain,
% 4.18/4.40 (rd(mult(mult(mult(a, b), c), a), a) = rd(mult(mult(b, mult(c, a)), a), a)),
% 4.18/4.40 inference(symmetry,[status(thm)],[1210])).
% 4.18/4.40 tff(1212,plain,
% 4.18/4.40 (mult(mult(b, a), c) = mult(b, mult(c, a))),
% 4.18/4.40 inference(transitivity,[status(thm)],[118, 410, 1188, 114, 173, 1211, 848])).
% 4.18/4.40 tff(1213,plain,
% 4.18/4.40 ($false),
% 4.18/4.40 inference(unit_resolution,[status(thm)],[14, 1212])).
% 4.18/4.40 tff(1214,plain,(((~(mult(mult(a, c), a) = mult(a, mult(c, a)))) | (~(mult(mult(a, a), c) = mult(a, mult(a, c))))) | (mult(mult(b, a), c) = mult(b, mult(c, a))) | (~(mult(mult(b, a), c) = mult(b, mult(a, c)))) | (~(mult(mult(a, a), mult(c, b)) = mult(a, mult(a, mult(c, b))))) | (~(mult(mult(a, b), c) = mult(a, mult(c, b)))) | (mult(mult(a, a), mult(b, c)) = mult(a, mult(mult(b, c), a))) | (~(mult(mult(a, a), mult(b, c)) = mult(a, mult(a, mult(b, c))))) | (~(mult(mult(a, c), b) = mult(a, mult(b, c)))) | (~(mult(mult(a, b), mult(c, a)) = mult(a, mult(b, mult(c, a))))) | (~(mult(mult(b, c), a) = mult(b, mult(c, a)))) | (mult(mult(a, b), mult(a, c)) = mult(a, mult(b, mult(a, c))))), inference(lemma,lemma(discharge,[]))).
% 4.18/4.40 tff(1215,plain,
% 4.18/4.40 ((~(mult(mult(a, c), a) = mult(a, mult(c, a)))) | (~(mult(mult(a, a), c) = mult(a, mult(a, c))))),
% 4.18/4.40 inference(unit_resolution,[status(thm)],[1214, 1168, 118, 14, 1160, 1153, 1154, 1157, 754, 102, 1159])).
% 4.18/4.40 tff(1216,plain,
% 4.18/4.40 (~((~(mult(mult(a, c), a) = mult(a, mult(a, c)))) | (~(mult(mult(a, a), c) = mult(a, mult(c, a)))))),
% 4.18/4.40 inference(unit_resolution,[status(thm)],[830, 1215])).
% 4.18/4.40 tff(1217,plain,
% 4.18/4.40 (mult(mult(a, c), a) = mult(a, mult(a, c))),
% 4.18/4.41 inference(unit_resolution,[status(thm)],[895, 1216])).
% 4.18/4.41 tff(1218,plain,
% 4.18/4.41 (mult(mult(a, mult(c, b)), a) = mult(a, mult(mult(c, b), a))),
% 4.18/4.41 inference(unit_resolution,[status(thm)],[79, 1166])).
% 4.18/4.41 tff(1219,plain,
% 4.18/4.41 (mult(mult(a, a), c) = mult(a, mult(c, a))),
% 4.18/4.41 inference(unit_resolution,[status(thm)],[825, 1216])).
% 4.18/4.41 tff(1220,assumption,(mult(mult(a, mult(a, c)), b) = mult(a, mult(b, mult(a, c)))), introduced(assumption)).
% 4.18/4.41 tff(1221,plain,
% 4.18/4.41 (mult(a, mult(mult(c, b), a)) = mult(a, mult(a, mult(b, c)))),
% 4.18/4.41 inference(transitivity,[status(thm)],[708, 260, 168, 167, 150])).
% 4.18/4.41 tff(1222,plain,
% 4.18/4.41 (ld(a, mult(a, mult(mult(c, b), a))) = ld(a, mult(a, mult(a, mult(b, c))))),
% 4.18/4.41 inference(monotonicity,[status(thm)],[1221])).
% 4.18/4.41 tff(1223,plain,
% 4.18/4.41 (mult(c, mult(b, a)) = mult(a, mult(b, c))),
% 4.18/4.41 inference(transitivity,[status(thm)],[1062, 713, 1222, 346])).
% 4.18/4.41 tff(1224,plain,
% 4.18/4.41 (mult(a, mult(c, mult(b, a))) = mult(a, mult(a, mult(b, c)))),
% 4.18/4.41 inference(monotonicity,[status(thm)],[1223])).
% 4.18/4.41 tff(1225,plain,
% 4.18/4.41 (mult(a, mult(c, mult(b, a))) = mult(mult(a, a), mult(b, c))),
% 4.18/4.41 inference(transitivity,[status(thm)],[1224, 1194])).
% 4.18/4.41 tff(1226,assumption,(~(mult(mult(mult(a, c), b), a) = mult(mult(a, c), mult(a, b)))), introduced(assumption)).
% 4.18/4.41 tff(1227,plain,
% 4.18/4.41 ((~(mult(mult(mult(a, c), a), b) = mult(mult(a, c), mult(b, a)))) | (~(mult(mult(mult(a, c), b), a) = mult(mult(a, c), mult(a, b))))),
% 4.18/4.41 inference(unit_resolution,[status(thm)],[591, 1226])).
% 4.18/4.41 tff(1228,plain,
% 4.18/4.41 (~((~(mult(mult(mult(a, c), a), b) = mult(mult(a, c), mult(a, b)))) | (~(mult(mult(mult(a, c), b), a) = mult(mult(a, c), mult(b, a)))))),
% 4.18/4.41 inference(unit_resolution,[status(thm)],[620, 1227])).
% 4.18/4.41 tff(1229,plain,
% 4.18/4.41 (mult(mult(mult(a, c), b), a) = mult(mult(a, c), mult(b, a))),
% 4.18/4.41 inference(unit_resolution,[status(thm)],[577, 1228])).
% 4.18/4.41 tff(1230,plain,
% 4.18/4.41 (mult(mult(a, c), mult(b, a)) = mult(mult(mult(a, c), b), a)),
% 4.18/4.41 inference(symmetry,[status(thm)],[1229])).
% 4.18/4.41 tff(1231,plain,
% 4.18/4.41 (mult(mult(a, c), mult(b, a)) = mult(a, mult(mult(b, c), a))),
% 4.18/4.41 inference(transitivity,[status(thm)],[1230, 152, 510])).
% 4.18/4.41 tff(1232,plain,
% 4.18/4.41 ((mult(mult(a, c), mult(b, a)) = mult(a, mult(c, mult(b, a)))) <=> (mult(a, mult(mult(b, c), a)) = mult(mult(a, a), mult(b, c)))),
% 4.18/4.41 inference(monotonicity,[status(thm)],[1231, 1225])).
% 4.18/4.41 tff(1233,plain,
% 4.18/4.41 ((mult(mult(a, c), mult(b, a)) = mult(a, mult(c, mult(b, a)))) <=> (mult(mult(a, a), mult(b, c)) = mult(a, mult(mult(b, c), a)))),
% 4.18/4.41 inference(transitivity,[status(thm)],[1232, 741])).
% 4.18/4.41 tff(1234,plain,
% 4.18/4.41 ((mult(mult(a, a), mult(b, c)) = mult(a, mult(mult(b, c), a))) <=> (mult(mult(a, c), mult(b, a)) = mult(a, mult(c, mult(b, a))))),
% 4.18/4.41 inference(symmetry,[status(thm)],[1233])).
% 4.18/4.41 tff(1235,plain,
% 4.18/4.41 ((~(mult(mult(a, a), mult(b, c)) = mult(a, mult(mult(b, c), a)))) <=> (~(mult(mult(a, c), mult(b, a)) = mult(a, mult(c, mult(b, a)))))),
% 4.18/4.41 inference(monotonicity,[status(thm)],[1234])).
% 4.18/4.41 tff(1236,plain,
% 4.18/4.41 (~(mult(mult(a, c), mult(b, a)) = mult(a, mult(c, mult(b, a))))),
% 4.18/4.41 inference(modus_ponens,[status(thm)],[1153, 1235])).
% 4.18/4.41 tff(1237,plain,
% 4.18/4.41 ((~(mult(mult(a, c), mult(b, a)) = mult(a, mult(c, mult(b, a))))) | (~(mult(mult(a, mult(b, a)), c) = mult(a, mult(mult(b, a), c))))),
% 4.18/4.41 inference(unit_resolution,[status(thm)],[120, 1236])).
% 4.18/4.41 tff(1238,plain,
% 4.18/4.41 (((~(mult(mult(mult(a, c), a), b) = mult(mult(a, c), mult(a, b)))) | (~(mult(mult(mult(a, c), b), a) = mult(mult(a, c), mult(b, a))))) | (mult(mult(mult(a, c), a), b) = mult(mult(a, c), mult(a, b)))),
% 4.18/4.41 inference(tautology,[status(thm)],[])).
% 4.18/4.41 tff(1239,plain,
% 4.18/4.41 (mult(mult(mult(a, c), a), b) = mult(mult(a, c), mult(a, b))),
% 4.18/4.41 inference(unit_resolution,[status(thm)],[1238, 1228])).
% 4.18/4.41 tff(1240,plain,
% 4.18/4.41 (mult(mult(a, c), mult(a, b)) = mult(mult(mult(a, c), a), b)),
% 4.18/4.41 inference(symmetry,[status(thm)],[1239])).
% 4.18/4.41 tff(1241,plain,
% 4.18/4.41 (mult(mult(a, c), mult(a, b)) = mult(a, mult(mult(b, a), c))),
% 4.18/4.41 inference(transitivity,[status(thm)],[1240, 937, 1220, 1059])).
% 4.18/4.41 tff(1242,plain,
% 4.18/4.41 ((mult(mult(mult(a, c), b), a) = mult(mult(a, c), mult(a, b))) <=> (mult(mult(a, c), mult(b, a)) = mult(a, mult(mult(b, a), c)))),
% 4.18/4.41 inference(monotonicity,[status(thm)],[1229, 1241])).
% 4.18/4.41 tff(1243,plain,
% 4.18/4.41 ((~(mult(mult(mult(a, c), b), a) = mult(mult(a, c), mult(a, b)))) <=> (~(mult(mult(a, c), mult(b, a)) = mult(a, mult(mult(b, a), c))))),
% 4.18/4.41 inference(monotonicity,[status(thm)],[1242])).
% 4.18/4.41 tff(1244,plain,
% 4.18/4.41 (~(mult(mult(a, c), mult(b, a)) = mult(a, mult(mult(b, a), c)))),
% 4.18/4.41 inference(modus_ponens,[status(thm)],[1226, 1243])).
% 4.18/4.41 tff(1245,plain,
% 4.18/4.41 ((~(mult(mult(a, c), mult(b, a)) = mult(a, mult(mult(b, a), c)))) | (~(mult(mult(a, mult(b, a)), c) = mult(a, mult(c, mult(b, a)))))),
% 4.18/4.41 inference(unit_resolution,[status(thm)],[134, 1244])).
% 4.18/4.41 tff(1246,plain,
% 4.18/4.41 ($false),
% 4.18/4.41 inference(unit_resolution,[status(thm)],[132, 1245, 1237])).
% 4.18/4.41 tff(1247,plain,((mult(mult(mult(a, c), b), a) = mult(mult(a, c), mult(a, b))) | (~(mult(mult(a, mult(a, c)), b) = mult(a, mult(b, mult(a, c))))) | (~(mult(mult(b, a), c) = mult(b, mult(a, c)))) | (~(mult(mult(a, c), a) = mult(a, mult(a, c)))) | (mult(mult(a, a), mult(b, c)) = mult(a, mult(mult(b, c), a))) | (~(mult(mult(a, a), mult(b, c)) = mult(a, mult(a, mult(b, c))))) | (~(mult(mult(c, b), a) = mult(c, mult(b, a)))) | (~(mult(mult(a, mult(c, b)), a) = mult(a, mult(mult(c, b), a)))) | (~(mult(mult(mult(a, b), c), a) = mult(mult(a, b), mult(a, c)))) | (~(mult(mult(a, b), mult(a, c)) = mult(a, mult(mult(a, c), b)))) | (~(mult(mult(a, c), b) = mult(a, mult(b, c)))) | (~(mult(mult(a, b), c) = mult(a, mult(c, b)))) | (~(mult(mult(a, mult(b, c)), a) = mult(a, mult(mult(b, c), a))))), inference(lemma,lemma(discharge,[]))).
% 4.18/4.41 tff(1248,plain,
% 4.18/4.41 (mult(mult(mult(a, c), b), a) = mult(mult(a, c), mult(a, b))),
% 4.18/4.41 inference(unit_resolution,[status(thm)],[1247, 716, 118, 936, 1153, 1154, 1220, 707, 168, 167, 117, 106, 510])).
% 4.18/4.41 tff(1249,plain,
% 4.18/4.41 (mult(a, mult(c, mult(a, b))) = mult(mult(a, mult(c, a)), b)),
% 4.18/4.41 inference(transitivity,[status(thm)],[272, 983])).
% 4.18/4.41 tff(1250,plain,
% 4.18/4.41 (mult(mult(a, c), mult(a, b)) = mult(a, mult(b, mult(c, a)))),
% 4.18/4.41 inference(transitivity,[status(thm)],[1106, 152, 510, 103])).
% 4.18/4.41 tff(1251,plain,
% 4.18/4.41 ((mult(mult(a, c), mult(a, b)) = mult(a, mult(c, mult(a, b)))) <=> (mult(a, mult(b, mult(c, a))) = mult(mult(a, mult(c, a)), b))),
% 4.18/4.41 inference(monotonicity,[status(thm)],[1250, 1249])).
% 4.18/4.41 tff(1252,plain,
% 4.18/4.41 ((mult(mult(a, c), mult(a, b)) = mult(a, mult(c, mult(a, b)))) <=> (mult(mult(a, mult(c, a)), b) = mult(a, mult(b, mult(c, a))))),
% 4.18/4.41 inference(transitivity,[status(thm)],[1251, 1152])).
% 4.18/4.41 tff(1253,plain,
% 4.18/4.41 ((mult(mult(a, mult(c, a)), b) = mult(a, mult(b, mult(c, a)))) <=> (mult(mult(a, c), mult(a, b)) = mult(a, mult(c, mult(a, b))))),
% 4.18/4.41 inference(symmetry,[status(thm)],[1252])).
% 4.18/4.41 tff(1254,plain,
% 4.18/4.41 ((~(mult(mult(a, mult(c, a)), b) = mult(a, mult(b, mult(c, a))))) <=> (~(mult(mult(a, c), mult(a, b)) = mult(a, mult(c, mult(a, b)))))),
% 4.18/4.41 inference(monotonicity,[status(thm)],[1253])).
% 4.18/4.41 tff(1255,plain,
% 4.18/4.41 (~(mult(mult(a, c), mult(a, b)) = mult(a, mult(c, mult(a, b))))),
% 4.18/4.41 inference(modus_ponens,[status(thm)],[733, 1254])).
% 4.18/4.41 tff(1256,plain,
% 4.18/4.41 ((~(mult(mult(a, mult(a, b)), c) = mult(a, mult(mult(a, b), c)))) | (~(mult(mult(a, c), mult(a, b)) = mult(a, mult(c, mult(a, b)))))),
% 4.18/4.41 inference(unit_resolution,[status(thm)],[604, 1255])).
% 4.18/4.41 tff(1257,plain,
% 4.18/4.41 (mult(a, mult(mult(a, b), c)) = mult(a, mult(c, mult(a, b)))),
% 4.18/4.41 inference(transitivity,[status(thm)],[258, 912, 910, 909, 742, 273])).
% 4.18/4.41 tff(1258,plain,
% 4.18/4.41 ((mult(mult(a, c), mult(a, b)) = mult(a, mult(mult(a, b), c))) <=> (mult(mult(a, c), mult(a, b)) = mult(a, mult(c, mult(a, b))))),
% 4.18/4.41 inference(monotonicity,[status(thm)],[1257])).
% 4.18/4.41 tff(1259,plain,
% 4.18/4.41 ((mult(mult(a, c), mult(a, b)) = mult(a, mult(c, mult(a, b)))) <=> (mult(mult(a, c), mult(a, b)) = mult(a, mult(mult(a, b), c)))),
% 4.18/4.41 inference(symmetry,[status(thm)],[1258])).
% 4.18/4.41 tff(1260,plain,
% 4.18/4.41 ((mult(mult(a, mult(c, a)), b) = mult(a, mult(b, mult(c, a)))) <=> (mult(mult(a, c), mult(a, b)) = mult(a, mult(mult(a, b), c)))),
% 4.18/4.41 inference(transitivity,[status(thm)],[1253, 1259])).
% 4.18/4.41 tff(1261,plain,
% 4.18/4.41 ((~(mult(mult(a, mult(c, a)), b) = mult(a, mult(b, mult(c, a))))) <=> (~(mult(mult(a, c), mult(a, b)) = mult(a, mult(mult(a, b), c))))),
% 4.18/4.41 inference(monotonicity,[status(thm)],[1260])).
% 4.18/4.41 tff(1262,plain,
% 4.18/4.41 (~(mult(mult(a, c), mult(a, b)) = mult(a, mult(mult(a, b), c)))),
% 4.18/4.41 inference(modus_ponens,[status(thm)],[733, 1261])).
% 4.18/4.41 tff(1263,plain,
% 4.18/4.41 ((~(mult(mult(a, mult(a, b)), c) = mult(a, mult(c, mult(a, b))))) | (~(mult(mult(a, c), mult(a, b)) = mult(a, mult(mult(a, b), c))))),
% 4.18/4.41 inference(unit_resolution,[status(thm)],[601, 1262])).
% 4.18/4.41 tff(1264,plain,
% 4.18/4.41 ($false),
% 4.18/4.41 inference(unit_resolution,[status(thm)],[292, 1263, 1256])).
% 4.18/4.41 tff(1265,plain,((~(mult(mult(mult(a, c), b), a) = mult(mult(a, c), mult(a, b)))) | (mult(mult(a, mult(c, a)), b) = mult(a, mult(b, mult(c, a)))) | (~(mult(mult(a, mult(c, a)), b) = mult(a, mult(mult(c, a), b)))) | (~(mult(mult(c, a), b) = mult(c, mult(a, b)))) | (~(mult(mult(a, mult(b, c)), a) = mult(a, mult(mult(b, c), a)))) | (~(mult(mult(b, c), a) = mult(b, mult(c, a)))) | (~(mult(mult(a, c), b) = mult(a, mult(b, c)))) | (~(mult(mult(a, a), mult(c, b)) = mult(a, mult(a, mult(c, b))))) | (~(mult(mult(mult(a, a), c), b) = mult(mult(a, a), mult(c, b)))) | (~(mult(mult(a, a), c) = mult(a, mult(c, a)))) | (~(mult(mult(a, b), c) = mult(a, mult(c, b))))), inference(lemma,lemma(discharge,[]))).
% 4.18/4.41 tff(1266,plain,
% 4.18/4.41 (~(mult(mult(mult(a, a), c), b) = mult(mult(a, a), mult(c, b)))),
% 4.18/4.41 inference(unit_resolution,[status(thm)],[1265, 1248, 742, 421, 510, 102, 117, 911, 733, 818, 106])).
% 4.18/4.41 tff(1267,plain,
% 4.18/4.41 ((~(mult(mult(mult(a, a), b), c) = mult(mult(a, a), mult(b, c)))) | (~(mult(mult(mult(a, a), c), b) = mult(mult(a, a), mult(c, b))))),
% 4.18/4.41 inference(unit_resolution,[status(thm)],[1006, 1266])).
% 4.18/4.41 tff(1268,plain,
% 4.18/4.41 (~((~(mult(mult(mult(a, a), b), c) = mult(mult(a, a), mult(c, b)))) | (~(mult(mult(mult(a, a), c), b) = mult(mult(a, a), mult(b, c)))))),
% 4.18/4.41 inference(unit_resolution,[status(thm)],[1010, 1267])).
% 4.18/4.41 tff(1269,plain,
% 4.18/4.41 (mult(mult(mult(a, a), c), b) = mult(mult(a, a), mult(b, c))),
% 4.18/4.41 inference(unit_resolution,[status(thm)],[1012, 1268])).
% 4.18/4.41 tff(1270,plain,
% 4.18/4.41 (mult(a, mult(mult(c, a), b)) = mult(a, mult(a, mult(b, c)))),
% 4.18/4.41 inference(transitivity,[status(thm)],[983, 820, 1269, 1154])).
% 4.18/4.41 tff(1271,plain,
% 4.18/4.41 (ld(a, mult(a, mult(mult(c, a), b))) = ld(a, mult(a, mult(a, mult(b, c))))),
% 4.18/4.41 inference(monotonicity,[status(thm)],[1270])).
% 4.18/4.41 tff(1272,plain,
% 4.18/4.41 (ld(a, mult(a, mult(a, mult(b, c)))) = ld(a, mult(a, mult(mult(c, a), b)))),
% 4.18/4.41 inference(symmetry,[status(thm)],[1271])).
% 4.18/4.41 tff(1273,plain,
% 4.18/4.41 (mult(mult(c, b), a) = mult(c, mult(a, b))),
% 4.18/4.41 inference(transitivity,[status(thm)],[713, 1222, 1272, 209, 421])).
% 4.18/4.41 tff(1274,plain,
% 4.18/4.41 ((mult(c, mult(a, b)) = mult(mult(c, b), a)) <=> (mult(mult(c, b), a) = mult(c, mult(a, b)))),
% 4.18/4.41 inference(commutativity,[status(thm)],[])).
% 4.18/4.41 tff(1275,plain,
% 4.18/4.41 ((mult(mult(c, a), b) = mult(c, mult(b, a))) <=> (mult(c, mult(a, b)) = mult(mult(c, b), a))),
% 4.18/4.41 inference(monotonicity,[status(thm)],[421, 1054])).
% 4.18/4.41 tff(1276,plain,
% 4.18/4.41 ((mult(mult(c, a), b) = mult(c, mult(b, a))) <=> (mult(mult(c, b), a) = mult(c, mult(a, b)))),
% 4.18/4.41 inference(transitivity,[status(thm)],[1275, 1274])).
% 4.18/4.41 tff(1277,plain,
% 4.18/4.41 ((~(mult(mult(c, a), b) = mult(c, mult(b, a)))) <=> (~(mult(mult(c, b), a) = mult(c, mult(a, b))))),
% 4.18/4.41 inference(monotonicity,[status(thm)],[1276])).
% 4.18/4.41 tff(1278,plain,
% 4.18/4.41 (~(mult(mult(c, b), a) = mult(c, mult(a, b)))),
% 4.18/4.41 inference(modus_ponens,[status(thm)],[40, 1277])).
% 4.18/4.41 tff(1279,plain,
% 4.18/4.41 ($false),
% 4.18/4.41 inference(unit_resolution,[status(thm)],[1278, 1273])).
% 4.18/4.41 tff(1280,plain,((mult(mult(c, a), b) = mult(c, mult(b, a))) | (~(mult(mult(a, mult(c, a)), b) = mult(a, mult(mult(c, a), b)))) | (~(mult(mult(a, a), mult(b, c)) = mult(a, mult(a, mult(b, c))))) | (~(mult(mult(a, a), c) = mult(a, mult(c, a)))) | (~(mult(mult(a, mult(c, b)), a) = mult(a, mult(mult(c, b), a)))) | (~(mult(mult(mult(a, b), c), a) = mult(mult(a, b), mult(a, c)))) | (~(mult(mult(a, b), mult(a, c)) = mult(a, mult(mult(a, c), b)))) | (~(mult(mult(a, c), b) = mult(a, mult(b, c)))) | (~(mult(mult(a, b), c) = mult(a, mult(c, b)))) | (~(mult(mult(a, mult(b, c)), a) = mult(a, mult(mult(b, c), a)))) | (~(mult(mult(b, c), a) = mult(b, mult(c, a)))) | (~(mult(mult(a, a), mult(c, b)) = mult(a, mult(a, mult(c, b))))) | (mult(mult(a, mult(c, a)), b) = mult(a, mult(b, mult(c, a)))) | (~(mult(mult(b, a), c) = mult(b, mult(a, c)))) | (~(mult(mult(a, c), a) = mult(a, mult(a, c)))) | (mult(mult(a, a), mult(b, c)) = mult(a, mult(mult(b, c), a))) | (~(mult(mult(a, mult(a, c)), b) = mult(a, mult(b, mult(a, c)))))), inference(lemma,lemma(discharge,[]))).
% 4.18/4.41 tff(1281,plain,
% 4.18/4.41 (mult(mult(c, a), b) = mult(c, mult(b, a))),
% 4.18/4.41 inference(unit_resolution,[status(thm)],[1280, 1219, 1154, 742, 1218, 776, 1163, 1157, 1160, 510, 102, 1168, 733, 118, 1217, 1153, 1172])).
% 4.18/4.41 tff(1282,plain,
% 4.18/4.41 (mult(a, mult(c, mult(b, a))) = mult(a, mult(mult(c, a), b))),
% 4.18/4.41 inference(monotonicity,[status(thm)],[382])).
% 4.18/4.41 tff(1283,plain,
% 4.18/4.41 (mult(a, mult(c, mult(b, a))) = mult(mult(a, mult(c, a)), b)),
% 4.18/4.41 inference(transitivity,[status(thm)],[1282, 983])).
% 4.18/4.41 tff(1284,plain,
% 4.18/4.41 (mult(mult(a, c), mult(b, a)) = mult(a, mult(b, mult(c, a)))),
% 4.18/4.41 inference(transitivity,[status(thm)],[1230, 152, 510, 103])).
% 4.18/4.41 tff(1285,plain,
% 4.18/4.41 ((mult(mult(a, c), mult(b, a)) = mult(a, mult(c, mult(b, a)))) <=> (mult(a, mult(b, mult(c, a))) = mult(mult(a, mult(c, a)), b))),
% 4.18/4.41 inference(monotonicity,[status(thm)],[1284, 1283])).
% 4.18/4.41 tff(1286,plain,
% 4.18/4.41 ((mult(mult(a, c), mult(b, a)) = mult(a, mult(c, mult(b, a)))) <=> (mult(mult(a, mult(c, a)), b) = mult(a, mult(b, mult(c, a))))),
% 4.18/4.41 inference(transitivity,[status(thm)],[1285, 1152])).
% 4.18/4.41 tff(1287,plain,
% 4.18/4.41 ((mult(mult(a, mult(c, a)), b) = mult(a, mult(b, mult(c, a)))) <=> (mult(mult(a, c), mult(b, a)) = mult(a, mult(c, mult(b, a))))),
% 4.18/4.41 inference(symmetry,[status(thm)],[1286])).
% 4.18/4.41 tff(1288,plain,
% 4.18/4.41 ((~(mult(mult(a, mult(c, a)), b) = mult(a, mult(b, mult(c, a))))) <=> (~(mult(mult(a, c), mult(b, a)) = mult(a, mult(c, mult(b, a)))))),
% 4.18/4.41 inference(monotonicity,[status(thm)],[1287])).
% 4.18/4.41 tff(1289,plain,
% 4.18/4.41 (~(mult(mult(a, c), mult(b, a)) = mult(a, mult(c, mult(b, a))))),
% 4.18/4.41 inference(modus_ponens,[status(thm)],[733, 1288])).
% 4.18/4.41 tff(1290,plain,
% 4.18/4.41 ((~(mult(mult(a, c), mult(b, a)) = mult(a, mult(c, mult(b, a))))) | (~(mult(mult(a, mult(b, a)), c) = mult(a, mult(mult(b, a), c))))),
% 4.18/4.41 inference(unit_resolution,[status(thm)],[120, 1289])).
% 4.18/4.41 tff(1291,plain,
% 4.18/4.41 ($false),
% 4.18/4.41 inference(unit_resolution,[status(thm)],[132, 1290, 1245])).
% 4.18/4.41 tff(1292,plain,((mult(mult(mult(a, c), b), a) = mult(mult(a, c), mult(a, b))) | (mult(mult(a, mult(c, a)), b) = mult(a, mult(b, mult(c, a)))) | (~(mult(mult(a, mult(c, a)), b) = mult(a, mult(mult(c, a), b)))) | (~(mult(mult(c, a), b) = mult(c, mult(b, a)))) | (~(mult(mult(a, mult(b, c)), a) = mult(a, mult(mult(b, c), a)))) | (~(mult(mult(b, c), a) = mult(b, mult(c, a)))) | (~(mult(mult(a, c), b) = mult(a, mult(b, c)))) | (~(mult(mult(a, mult(a, c)), b) = mult(a, mult(b, mult(a, c))))) | (~(mult(mult(b, a), c) = mult(b, mult(a, c)))) | (~(mult(mult(a, c), a) = mult(a, mult(a, c))))), inference(lemma,lemma(discharge,[]))).
% 4.18/4.41 tff(1293,plain,
% 4.18/4.41 (mult(mult(mult(a, c), b), a) = mult(mult(a, c), mult(a, b))),
% 4.18/4.41 inference(unit_resolution,[status(thm)],[1292, 1281, 742, 733, 510, 102, 1157, 1172, 118, 1217])).
% 4.18/4.41 tff(1294,plain,
% 4.18/4.41 (mult(mult(a, c), mult(a, b)) = mult(mult(mult(a, c), b), a)),
% 4.18/4.41 inference(symmetry,[status(thm)],[1293])).
% 4.18/4.41 tff(1295,assumption,(mult(mult(mult(a, a), c), b) = mult(mult(a, a), mult(b, c))), introduced(assumption)).
% 4.18/4.41 tff(1296,plain,
% 4.18/4.41 (mult(a, mult(mult(c, a), b)) = mult(a, mult(a, mult(b, c)))),
% 4.18/4.41 inference(transitivity,[status(thm)],[983, 820, 1295, 1154])).
% 4.18/4.41 tff(1297,plain,
% 4.18/4.41 (ld(a, mult(a, mult(mult(c, a), b))) = ld(a, mult(a, mult(a, mult(b, c))))),
% 4.18/4.41 inference(monotonicity,[status(thm)],[1296])).
% 4.18/4.41 tff(1298,plain,
% 4.18/4.41 (mult(mult(c, a), b) = mult(mult(a, c), b)),
% 4.18/4.41 inference(transitivity,[status(thm)],[210, 1297, 346, 214])).
% 4.18/4.41 tff(1299,plain,
% 4.18/4.41 (rd(mult(mult(c, a), b), b) = rd(mult(mult(a, c), b), b)),
% 4.18/4.41 inference(monotonicity,[status(thm)],[1298])).
% 4.18/4.41 tff(1300,plain,
% 4.18/4.41 (mult(c, a) = mult(a, c)),
% 4.18/4.41 inference(transitivity,[status(thm)],[359, 1299, 344])).
% 4.18/4.42 tff(1301,plain,
% 4.18/4.42 (mult(b, mult(c, a)) = mult(b, mult(a, c))),
% 4.18/4.42 inference(monotonicity,[status(thm)],[1300])).
% 4.18/4.42 tff(1302,plain,
% 4.18/4.42 (mult(b, mult(a, c)) = mult(b, mult(c, a))),
% 4.18/4.42 inference(symmetry,[status(thm)],[1301])).
% 4.18/4.42 tff(1303,plain,
% 4.18/4.42 (mult(mult(b, a), c) = mult(b, mult(c, a))),
% 4.18/4.42 inference(transitivity,[status(thm)],[118, 1302])).
% 4.18/4.42 tff(1304,plain,
% 4.18/4.42 ($false),
% 4.18/4.42 inference(unit_resolution,[status(thm)],[14, 1303])).
% 4.18/4.42 tff(1305,plain,((~(mult(mult(mult(a, a), c), b) = mult(mult(a, a), mult(b, c)))) | (mult(mult(b, a), c) = mult(b, mult(c, a))) | (~(mult(mult(b, a), c) = mult(b, mult(a, c)))) | (~(mult(mult(a, c), b) = mult(a, mult(b, c)))) | (~(mult(mult(a, mult(c, a)), b) = mult(a, mult(mult(c, a), b)))) | (~(mult(mult(a, a), mult(b, c)) = mult(a, mult(a, mult(b, c))))) | (~(mult(mult(a, a), c) = mult(a, mult(c, a))))), inference(lemma,lemma(discharge,[]))).
% 4.18/4.42 tff(1306,plain,
% 4.18/4.42 (~(mult(mult(mult(a, a), c), b) = mult(mult(a, a), mult(b, c)))),
% 4.18/4.42 inference(unit_resolution,[status(thm)],[1305, 1219, 118, 1157, 742, 1154, 14])).
% 4.18/4.42 tff(1307,plain,
% 4.18/4.42 ((~(mult(mult(mult(a, a), b), c) = mult(mult(a, a), mult(c, b)))) | (~(mult(mult(mult(a, a), c), b) = mult(mult(a, a), mult(b, c))))),
% 4.18/4.42 inference(unit_resolution,[status(thm)],[1012, 1306])).
% 4.18/4.42 tff(1308,plain,
% 4.18/4.42 (~((~(mult(mult(mult(a, a), b), c) = mult(mult(a, a), mult(b, c)))) | (~(mult(mult(mult(a, a), c), b) = mult(mult(a, a), mult(c, b)))))),
% 4.18/4.42 inference(unit_resolution,[status(thm)],[1010, 1307])).
% 4.18/4.42 tff(1309,plain,
% 4.18/4.42 (mult(mult(mult(a, a), c), b) = mult(mult(a, a), mult(c, b))),
% 4.18/4.42 inference(unit_resolution,[status(thm)],[1006, 1308])).
% 4.18/4.42 tff(1310,plain,
% 4.18/4.42 (~(mult(mult(c, a), b) = mult(c, mult(a, b)))),
% 4.18/4.42 inference(unit_resolution,[status(thm)],[1265, 1309, 742, 1293, 510, 102, 1157, 1168, 733, 1219, 1160])).
% 4.18/4.42 tff(1311,plain,
% 4.18/4.42 ((~(mult(mult(c, b), a) = mult(c, mult(b, a)))) | (~(mult(mult(c, a), b) = mult(c, mult(a, b))))),
% 4.18/4.42 inference(unit_resolution,[status(thm)],[296, 1310])).
% 4.18/4.42 tff(1312,plain,
% 4.18/4.42 (~((~(mult(mult(c, b), a) = mult(c, mult(a, b)))) | (~(mult(mult(c, a), b) = mult(c, mult(b, a)))))),
% 4.18/4.42 inference(unit_resolution,[status(thm)],[301, 1311])).
% 4.18/4.42 tff(1313,plain,
% 4.18/4.42 (mult(mult(c, b), a) = mult(c, mult(a, b))),
% 4.18/4.42 inference(unit_resolution,[status(thm)],[546, 1312])).
% 4.18/4.42 tff(1314,plain,
% 4.18/4.42 (mult(c, mult(a, b)) = mult(a, mult(b, c))),
% 4.18/4.42 inference(transitivity,[status(thm)],[1111, 713, 1222, 346])).
% 4.18/4.42 tff(1315,plain,
% 4.18/4.42 (mult(a, mult(c, mult(a, b))) = mult(a, mult(a, mult(b, c)))),
% 4.18/4.42 inference(monotonicity,[status(thm)],[1314])).
% 4.18/4.42 tff(1316,plain,
% 4.18/4.42 (mult(a, mult(c, mult(a, b))) = mult(mult(a, a), mult(b, c))),
% 4.18/4.42 inference(transitivity,[status(thm)],[1315, 1194])).
% 4.18/4.42 tff(1317,plain,
% 4.18/4.42 (mult(mult(a, c), mult(a, b)) = mult(a, mult(mult(b, c), a))),
% 4.18/4.42 inference(transitivity,[status(thm)],[1106, 152, 510])).
% 4.18/4.42 tff(1318,plain,
% 4.18/4.42 ((mult(mult(a, c), mult(a, b)) = mult(a, mult(c, mult(a, b)))) <=> (mult(a, mult(mult(b, c), a)) = mult(mult(a, a), mult(b, c)))),
% 4.18/4.42 inference(monotonicity,[status(thm)],[1317, 1316])).
% 4.18/4.42 tff(1319,plain,
% 4.18/4.42 ((mult(mult(a, c), mult(a, b)) = mult(a, mult(c, mult(a, b)))) <=> (mult(mult(a, a), mult(b, c)) = mult(a, mult(mult(b, c), a)))),
% 4.18/4.42 inference(transitivity,[status(thm)],[1318, 741])).
% 4.18/4.42 tff(1320,plain,
% 4.18/4.42 ((mult(mult(a, a), mult(b, c)) = mult(a, mult(mult(b, c), a))) <=> (mult(mult(a, c), mult(a, b)) = mult(a, mult(c, mult(a, b))))),
% 4.18/4.42 inference(symmetry,[status(thm)],[1319])).
% 4.18/4.42 tff(1321,plain,
% 4.18/4.42 ((~(mult(mult(a, a), mult(b, c)) = mult(a, mult(mult(b, c), a)))) <=> (~(mult(mult(a, c), mult(a, b)) = mult(a, mult(c, mult(a, b)))))),
% 4.18/4.42 inference(monotonicity,[status(thm)],[1320])).
% 4.18/4.42 tff(1322,plain,
% 4.18/4.42 (~(mult(mult(a, c), mult(a, b)) = mult(a, mult(c, mult(a, b))))),
% 4.18/4.42 inference(modus_ponens,[status(thm)],[1153, 1321])).
% 4.18/4.42 tff(1323,plain,
% 4.18/4.42 ((~(mult(mult(a, mult(a, b)), c) = mult(a, mult(mult(a, b), c)))) | (~(mult(mult(a, c), mult(a, b)) = mult(a, mult(c, mult(a, b)))))),
% 4.18/4.42 inference(unit_resolution,[status(thm)],[604, 1322])).
% 4.18/4.42 tff(1324,plain,
% 4.18/4.42 ($false),
% 4.18/4.42 inference(unit_resolution,[status(thm)],[292, 1323, 687])).
% 4.18/4.42 tff(1325,plain,((mult(mult(a, c), mult(a, b)) = mult(a, mult(mult(a, b), c))) | (mult(mult(a, a), mult(b, c)) = mult(a, mult(mult(b, c), a))) | (~(mult(mult(a, a), mult(b, c)) = mult(a, mult(a, mult(b, c))))) | (~(mult(mult(c, b), a) = mult(c, mult(a, b)))) | (~(mult(mult(a, mult(c, b)), a) = mult(a, mult(mult(c, b), a)))) | (~(mult(mult(mult(a, b), c), a) = mult(mult(a, b), mult(a, c)))) | (~(mult(mult(a, b), mult(a, c)) = mult(a, mult(mult(a, c), b)))) | (~(mult(mult(a, c), b) = mult(a, mult(b, c)))) | (~(mult(mult(a, b), c) = mult(a, mult(c, b)))) | (~(mult(mult(mult(a, c), b), a) = mult(mult(a, c), mult(a, b)))) | (~(mult(mult(a, mult(b, c)), a) = mult(a, mult(mult(b, c), a))))), inference(lemma,lemma(discharge,[]))).
% 4.18/4.42 tff(1326,plain,
% 4.18/4.42 (mult(mult(a, c), mult(a, b)) = mult(a, mult(mult(a, b), c))),
% 4.18/4.42 inference(unit_resolution,[status(thm)],[1325, 1313, 1154, 1153, 1218, 776, 1163, 1157, 1160, 1293, 510])).
% 4.18/4.42 tff(1327,plain,
% 4.18/4.42 (mult(a, mult(mult(a, b), c)) = mult(mult(a, c), mult(a, b))),
% 4.18/4.42 inference(symmetry,[status(thm)],[1326])).
% 4.18/4.42 tff(1328,plain,
% 4.18/4.42 (mult(a, mult(c, b)) = mult(mult(a, b), c)),
% 4.18/4.42 inference(symmetry,[status(thm)],[1160])).
% 4.18/4.42 tff(1329,plain,
% 4.18/4.42 (mult(a, mult(a, mult(c, b))) = mult(a, mult(mult(a, b), c))),
% 4.18/4.42 inference(monotonicity,[status(thm)],[1328])).
% 4.18/4.42 tff(1330,plain,
% 4.18/4.42 (mult(a, mult(c, a)) = mult(mult(a, a), c)),
% 4.18/4.42 inference(symmetry,[status(thm)],[1219])).
% 4.18/4.42 tff(1331,plain,
% 4.18/4.42 (mult(mult(a, mult(c, a)), b) = mult(mult(mult(a, a), c), b)),
% 4.18/4.42 inference(monotonicity,[status(thm)],[1330])).
% 4.18/4.42 tff(1332,plain,
% 4.18/4.42 (mult(mult(a, mult(c, a)), b) = mult(a, mult(b, mult(c, a)))),
% 4.18/4.42 inference(transitivity,[status(thm)],[1331, 1309, 1168, 1329, 1327, 1294, 1158, 510, 103])).
% 4.18/4.42 tff(1333,plain,
% 4.18/4.42 ($false),
% 4.18/4.42 inference(unit_resolution,[status(thm)],[733, 1332])).
% 4.18/4.42 tff(1334,plain,((mult(mult(a, b), mult(a, c)) = mult(a, mult(b, mult(a, c)))) | (mult(mult(a, mult(c, a)), b) = mult(a, mult(b, mult(c, a)))) | (~(mult(mult(a, mult(b, c)), a) = mult(a, mult(mult(b, c), a)))) | (~(mult(mult(b, c), a) = mult(b, mult(c, a)))) | (~(mult(mult(a, a), mult(b, c)) = mult(a, mult(a, mult(b, c))))) | (mult(mult(a, a), mult(b, c)) = mult(a, mult(mult(b, c), a))) | (~(mult(mult(a, mult(c, a)), b) = mult(a, mult(mult(c, a), b)))) | (~(mult(mult(b, a), c) = mult(b, mult(a, c)))) | (mult(mult(b, a), c) = mult(b, mult(c, a))) | (~(mult(mult(a, b), mult(c, a)) = mult(a, mult(b, mult(c, a))))) | (mult(mult(a, b), c) = mult(a, mult(b, c)))), inference(lemma,lemma(discharge,[]))).
% 4.18/4.42 tff(1335,plain,
% 4.18/4.42 (mult(mult(a, b), mult(a, c)) = mult(a, mult(b, mult(a, c)))),
% 4.18/4.42 inference(unit_resolution,[status(thm)],[1334, 115, 510, 102, 1154, 1153, 742, 118, 14, 754, 733])).
% 4.18/4.42 tff(1336,plain,
% 4.18/4.42 (mult(a, mult(mult(b, a), c)) = mult(mult(mult(a, b), c), a)),
% 4.18/4.42 inference(transitivity,[status(thm)],[148, 405, 403])).
% 4.18/4.42 tff(1337,plain,
% 4.18/4.42 (mult(mult(a, c), mult(b, a)) = mult(a, mult(b, mult(c, a)))),
% 4.18/4.42 inference(transitivity,[status(thm)],[153, 152, 510, 103])).
% 4.18/4.42 tff(1338,plain,
% 4.18/4.42 ((mult(mult(a, c), mult(b, a)) = mult(a, mult(mult(b, a), c))) <=> (mult(a, mult(b, mult(c, a))) = mult(mult(mult(a, b), c), a))),
% 4.18/4.42 inference(monotonicity,[status(thm)],[1337, 1336])).
% 4.18/4.42 tff(1339,plain,
% 4.18/4.42 ((mult(a, mult(b, mult(c, a))) = mult(mult(mult(a, b), c), a)) <=> (mult(mult(a, c), mult(b, a)) = mult(a, mult(mult(b, a), c)))),
% 4.18/4.42 inference(symmetry,[status(thm)],[1338])).
% 4.18/4.42 tff(1340,plain,
% 4.18/4.42 ((~(mult(a, mult(b, mult(c, a))) = mult(mult(mult(a, b), c), a))) <=> (~(mult(mult(a, c), mult(b, a)) = mult(a, mult(mult(b, a), c))))),
% 4.18/4.42 inference(monotonicity,[status(thm)],[1339])).
% 4.18/4.42 tff(1341,plain,
% 4.18/4.42 (~(mult(mult(a, c), mult(b, a)) = mult(a, mult(mult(b, a), c)))),
% 4.18/4.42 inference(modus_ponens,[status(thm)],[194, 1340])).
% 4.18/4.42 tff(1342,plain,
% 4.18/4.42 ((~(mult(mult(a, c), mult(b, a)) = mult(a, mult(mult(b, a), c)))) | (~(mult(mult(a, mult(b, a)), c) = mult(a, mult(c, mult(b, a)))))),
% 4.18/4.42 inference(unit_resolution,[status(thm)],[134, 1341])).
% 4.18/4.42 tff(1343,plain,
% 4.18/4.42 (~((~(mult(mult(a, c), mult(b, a)) = mult(a, mult(c, mult(b, a))))) | (~(mult(mult(a, mult(b, a)), c) = mult(a, mult(mult(b, a), c)))))),
% 4.18/4.42 inference(unit_resolution,[status(thm)],[132, 1342])).
% 4.18/4.42 tff(1344,plain,
% 4.18/4.42 (mult(mult(a, c), mult(b, a)) = mult(a, mult(c, mult(b, a)))),
% 4.18/4.42 inference(unit_resolution,[status(thm)],[120, 1343])).
% 4.18/4.42 tff(1345,plain,
% 4.18/4.42 (mult(a, mult(c, mult(b, a))) = mult(mult(a, c), mult(b, a))),
% 4.18/4.42 inference(symmetry,[status(thm)],[1344])).
% 4.18/4.42 tff(1346,plain,
% 4.18/4.42 (mult(a, mult(c, mult(b, a))) = mult(a, mult(b, mult(c, a)))),
% 4.18/4.42 inference(transitivity,[status(thm)],[1345, 153, 152, 510, 103])).
% 4.18/4.42 tff(1347,plain,
% 4.18/4.42 (ld(a, mult(a, mult(c, mult(b, a)))) = ld(a, mult(a, mult(b, mult(c, a))))),
% 4.18/4.42 inference(monotonicity,[status(thm)],[1346])).
% 4.18/4.42 tff(1348,plain,
% 4.18/4.42 (~(mult(mult(c, b), a) = mult(c, mult(b, a)))),
% 4.18/4.42 inference(unit_resolution,[status(thm)],[541, 1344, 106, 102, 115, 93, 510, 117])).
% 4.18/4.42 tff(1349,plain,
% 4.18/4.42 ((~(mult(mult(c, b), a) = mult(c, mult(b, a)))) | (~(mult(mult(c, a), b) = mult(c, mult(a, b))))),
% 4.18/4.42 inference(unit_resolution,[status(thm)],[543, 1348])).
% 4.18/4.42 tff(1350,plain,
% 4.18/4.42 (~((~(mult(mult(c, b), a) = mult(c, mult(a, b)))) | (~(mult(mult(c, a), b) = mult(c, mult(b, a)))))),
% 4.18/4.42 inference(unit_resolution,[status(thm)],[301, 1349])).
% 4.18/4.42 tff(1351,plain,
% 4.18/4.42 (mult(mult(c, a), b) = mult(c, mult(b, a))),
% 4.18/4.42 inference(unit_resolution,[status(thm)],[303, 1350])).
% 4.18/4.42 tff(1352,plain,
% 4.18/4.42 (mult(mult(c, a), b) = mult(b, mult(c, a))),
% 4.18/4.42 inference(transitivity,[status(thm)],[1351, 532, 1347, 77])).
% 4.18/4.42 tff(1353,plain,
% 4.18/4.42 (mult(a, mult(mult(c, a), b)) = mult(a, mult(b, mult(c, a)))),
% 4.18/4.42 inference(monotonicity,[status(thm)],[1352])).
% 4.18/4.42 tff(1354,plain,
% 4.18/4.42 (mult(mult(a, mult(c, a)), b) = mult(a, mult(b, mult(c, a)))),
% 4.18/4.42 inference(transitivity,[status(thm)],[742, 1353])).
% 4.18/4.42 tff(1355,plain,
% 4.18/4.42 ($false),
% 4.18/4.42 inference(unit_resolution,[status(thm)],[733, 1354])).
% 4.18/4.42 tff(1356,plain,((~(mult(mult(mult(a, c), b), a) = mult(mult(a, c), mult(b, a)))) | (mult(mult(a, mult(c, a)), b) = mult(a, mult(b, mult(c, a)))) | (~(mult(mult(a, mult(c, a)), b) = mult(a, mult(mult(c, a), b)))) | (~(mult(mult(a, mult(b, c)), a) = mult(a, mult(mult(b, c), a)))) | (~(mult(mult(b, c), a) = mult(b, mult(c, a)))) | (~(mult(mult(a, c), b) = mult(a, mult(b, c)))) | (~(mult(mult(a, b), c) = mult(a, mult(c, b)))) | (mult(mult(a, b), c) = mult(a, mult(b, c))) | (~(mult(mult(mult(a, b), c), a) = mult(mult(a, b), mult(a, c)))) | (~(mult(mult(a, b), mult(a, c)) = mult(a, mult(b, mult(a, c))))) | (~(mult(mult(b, a), c) = mult(b, mult(a, c))))), inference(lemma,lemma(discharge,[]))).
% 4.18/4.42 tff(1357,plain,
% 4.18/4.42 (~(mult(mult(mult(a, c), b), a) = mult(mult(a, c), mult(b, a)))),
% 4.18/4.42 inference(unit_resolution,[status(thm)],[1356, 115, 742, 510, 102, 1157, 1160, 733, 776, 1335, 118])).
% 4.18/4.42 tff(1358,plain,
% 4.18/4.42 ((~(mult(mult(mult(a, c), a), b) = mult(mult(a, c), mult(a, b)))) | (~(mult(mult(mult(a, c), b), a) = mult(mult(a, c), mult(b, a))))),
% 4.18/4.42 inference(unit_resolution,[status(thm)],[577, 1357])).
% 4.18/4.42 tff(1359,plain,
% 4.18/4.42 (~((~(mult(mult(mult(a, c), a), b) = mult(mult(a, c), mult(b, a)))) | (~(mult(mult(mult(a, c), b), a) = mult(mult(a, c), mult(a, b)))))),
% 4.18/4.42 inference(unit_resolution,[status(thm)],[620, 1358])).
% 4.18/4.42 tff(1360,plain,
% 4.18/4.42 (mult(mult(mult(a, c), a), b) = mult(mult(a, c), mult(b, a))),
% 4.18/4.42 inference(unit_resolution,[status(thm)],[954, 1359])).
% 4.18/4.42 tff(1361,plain,
% 4.18/4.42 (mult(mult(mult(a, c), b), a) = mult(mult(a, c), mult(a, b))),
% 4.18/4.42 inference(unit_resolution,[status(thm)],[591, 1359])).
% 4.18/4.42 tff(1362,assumption,(mult(mult(mult(a, c), a), b) = mult(mult(a, c), mult(b, a))), introduced(assumption)).
% 4.18/4.42 tff(1363,plain,
% 4.18/4.42 (mult(a, mult(c, mult(a, b))) = mult(mult(a, mult(c, a)), b)),
% 4.18/4.42 inference(transitivity,[status(thm)],[482, 983])).
% 4.18/4.42 tff(1364,plain,
% 4.18/4.42 ((mult(mult(a, c), mult(a, b)) = mult(a, mult(c, mult(a, b)))) <=> (mult(a, mult(b, mult(c, a))) = mult(mult(a, mult(c, a)), b))),
% 4.18/4.42 inference(monotonicity,[status(thm)],[1250, 1363])).
% 4.18/4.42 tff(1365,plain,
% 4.18/4.42 ((mult(mult(a, c), mult(a, b)) = mult(a, mult(c, mult(a, b)))) <=> (mult(mult(a, mult(c, a)), b) = mult(a, mult(b, mult(c, a))))),
% 4.18/4.42 inference(transitivity,[status(thm)],[1364, 1152])).
% 4.18/4.42 tff(1366,plain,
% 4.18/4.42 ((mult(mult(a, mult(c, a)), b) = mult(a, mult(b, mult(c, a)))) <=> (mult(mult(a, c), mult(a, b)) = mult(a, mult(c, mult(a, b))))),
% 4.18/4.42 inference(symmetry,[status(thm)],[1365])).
% 4.18/4.42 tff(1367,plain,
% 4.18/4.42 ((~(mult(mult(a, mult(c, a)), b) = mult(a, mult(b, mult(c, a))))) <=> (~(mult(mult(a, c), mult(a, b)) = mult(a, mult(c, mult(a, b)))))),
% 4.18/4.42 inference(monotonicity,[status(thm)],[1366])).
% 4.18/4.42 tff(1368,plain,
% 4.18/4.42 (~(mult(mult(a, c), mult(a, b)) = mult(a, mult(c, mult(a, b))))),
% 4.18/4.42 inference(modus_ponens,[status(thm)],[733, 1367])).
% 4.18/4.42 tff(1369,plain,
% 4.18/4.42 ((~(mult(mult(a, mult(a, b)), c) = mult(a, mult(mult(a, b), c)))) | (~(mult(mult(a, c), mult(a, b)) = mult(a, mult(c, mult(a, b)))))),
% 4.18/4.42 inference(unit_resolution,[status(thm)],[604, 1368])).
% 4.18/4.42 tff(1370,plain,
% 4.18/4.42 (~((~(mult(mult(a, mult(a, b)), c) = mult(a, mult(c, mult(a, b))))) | (~(mult(mult(a, c), mult(a, b)) = mult(a, mult(mult(a, b), c)))))),
% 4.18/4.42 inference(unit_resolution,[status(thm)],[292, 1369])).
% 4.18/4.42 tff(1371,plain,
% 4.18/4.42 (mult(mult(a, c), mult(a, b)) = mult(a, mult(mult(a, b), c))),
% 4.18/4.42 inference(unit_resolution,[status(thm)],[601, 1370])).
% 4.18/4.42 tff(1372,plain,
% 4.18/4.42 (mult(a, mult(mult(a, b), c)) = mult(mult(a, c), mult(a, b))),
% 4.18/4.42 inference(symmetry,[status(thm)],[1371])).
% 4.18/4.42 tff(1373,plain,
% 4.18/4.42 (mult(a, mult(a, mult(c, b))) = mult(a, mult(b, mult(c, a)))),
% 4.18/4.42 inference(transitivity,[status(thm)],[111, 1372, 1106, 152, 510, 103])).
% 4.18/4.42 tff(1374,plain,
% 4.18/4.42 ((mult(mult(a, mult(c, b)), a) = mult(a, mult(a, mult(c, b)))) <=> (mult(mult(mult(a, b), c), a) = mult(a, mult(b, mult(c, a))))),
% 4.18/4.42 inference(monotonicity,[status(thm)],[260, 1373])).
% 4.18/4.42 tff(1375,plain,
% 4.18/4.42 ((mult(mult(a, mult(c, b)), a) = mult(a, mult(a, mult(c, b)))) <=> (mult(a, mult(b, mult(c, a))) = mult(mult(mult(a, b), c), a))),
% 4.18/4.42 inference(transitivity,[status(thm)],[1374, 15])).
% 4.18/4.42 tff(1376,plain,
% 4.18/4.42 ((mult(a, mult(b, mult(c, a))) = mult(mult(mult(a, b), c), a)) <=> (mult(mult(a, mult(c, b)), a) = mult(a, mult(a, mult(c, b))))),
% 4.18/4.42 inference(symmetry,[status(thm)],[1375])).
% 4.18/4.42 tff(1377,plain,
% 4.18/4.42 ((~(mult(a, mult(b, mult(c, a))) = mult(mult(mult(a, b), c), a))) <=> (~(mult(mult(a, mult(c, b)), a) = mult(a, mult(a, mult(c, b)))))),
% 4.18/4.42 inference(monotonicity,[status(thm)],[1376])).
% 4.18/4.42 tff(1378,plain,
% 4.18/4.42 (~(mult(mult(a, mult(c, b)), a) = mult(a, mult(a, mult(c, b))))),
% 4.18/4.42 inference(modus_ponens,[status(thm)],[194, 1377])).
% 4.18/4.42 tff(1379,plain,
% 4.18/4.42 ((~(mult(mult(a, a), mult(c, b)) = mult(a, mult(mult(c, b), a)))) | (~(mult(mult(a, mult(c, b)), a) = mult(a, mult(a, mult(c, b)))))),
% 4.18/4.42 inference(unit_resolution,[status(thm)],[88, 1378])).
% 4.18/4.42 tff(1380,plain,
% 4.18/4.42 (~((~(mult(mult(a, a), mult(c, b)) = mult(a, mult(a, mult(c, b))))) | (~(mult(mult(a, mult(c, b)), a) = mult(a, mult(mult(c, b), a)))))),
% 4.18/4.42 inference(unit_resolution,[status(thm)],[1050, 1379])).
% 4.18/4.42 tff(1381,plain,
% 4.18/4.42 (mult(mult(a, mult(c, b)), a) = mult(a, mult(mult(c, b), a))),
% 4.18/4.42 inference(unit_resolution,[status(thm)],[79, 1380])).
% 4.18/4.42 tff(1382,plain,
% 4.18/4.42 (mult(a, mult(mult(c, b), a)) = mult(mult(a, mult(c, b)), a)),
% 4.18/4.42 inference(symmetry,[status(thm)],[1381])).
% 4.18/4.42 tff(1383,plain,
% 4.18/4.42 (mult(a, mult(c, mult(b, a))) = mult(a, mult(b, mult(a, c)))),
% 4.18/4.42 inference(transitivity,[status(thm)],[1055, 1382, 260, 168, 404])).
% 4.18/4.42 tff(1384,plain,
% 4.18/4.42 (ld(a, mult(a, mult(c, mult(b, a)))) = ld(a, mult(a, mult(b, mult(a, c))))),
% 4.18/4.42 inference(monotonicity,[status(thm)],[1383])).
% 4.18/4.42 tff(1385,plain,
% 4.18/4.42 (ld(a, mult(a, mult(b, mult(a, c)))) = ld(a, mult(a, mult(c, mult(b, a))))),
% 4.18/4.42 inference(symmetry,[status(thm)],[1384])).
% 4.18/4.42 tff(1386,plain,
% 4.18/4.42 (mult(mult(a, c), mult(b, a)) = mult(a, mult(c, mult(b, a)))),
% 4.18/4.42 inference(unit_resolution,[status(thm)],[1069, 1381, 404, 168, 106, 716, 118])).
% 4.18/4.42 tff(1387,plain,
% 4.18/4.42 (mult(mult(a, mult(c, a)), b) = mult(mult(mult(a, c), a), b)),
% 4.18/4.42 inference(monotonicity,[status(thm)],[865])).
% 4.18/4.42 tff(1388,plain,
% 4.18/4.42 (mult(a, mult(mult(c, a), b)) = mult(a, mult(b, mult(a, c)))),
% 4.18/4.42 inference(transitivity,[status(thm)],[983, 1387, 1362, 1386, 1055, 1382, 260, 168, 404])).
% 4.18/4.42 tff(1389,plain,
% 4.18/4.42 (ld(a, mult(a, mult(mult(c, a), b))) = ld(a, mult(a, mult(b, mult(a, c))))),
% 4.18/4.43 inference(monotonicity,[status(thm)],[1388])).
% 4.18/4.43 tff(1390,plain,
% 4.18/4.43 (mult(mult(c, a), b) = mult(c, mult(b, a))),
% 4.18/4.43 inference(transitivity,[status(thm)],[210, 1389, 1385, 531])).
% 4.18/4.43 tff(1391,plain,
% 4.18/4.43 ($false),
% 4.18/4.43 inference(unit_resolution,[status(thm)],[40, 1390])).
% 4.18/4.43 tff(1392,plain,((mult(mult(c, a), b) = mult(c, mult(b, a))) | (~(mult(mult(a, b), mult(a, c)) = mult(a, mult(b, mult(a, c))))) | (~(mult(mult(mult(a, b), c), a) = mult(mult(a, b), mult(a, c)))) | (~(mult(mult(a, b), c) = mult(a, mult(c, b)))) | (~(mult(mult(a, mult(c, a)), b) = mult(a, mult(mult(c, a), b)))) | (~(mult(mult(mult(a, c), a), b) = mult(mult(a, c), mult(b, a)))) | (~(mult(mult(a, c), a) = mult(a, mult(c, a)))) | (~(mult(mult(b, a), c) = mult(b, mult(a, c)))) | (~(mult(mult(mult(a, c), b), a) = mult(mult(a, c), mult(a, b)))) | (~(mult(mult(a, mult(b, c)), a) = mult(a, mult(mult(b, c), a)))) | (~(mult(mult(b, c), a) = mult(b, mult(c, a)))) | (~(mult(mult(a, c), b) = mult(a, mult(b, c)))) | (mult(mult(a, mult(c, a)), b) = mult(a, mult(b, mult(c, a))))), inference(lemma,lemma(discharge,[]))).
% 4.18/4.43 tff(1393,plain,
% 4.18/4.43 (mult(mult(c, a), b) = mult(c, mult(b, a))),
% 4.18/4.43 inference(unit_resolution,[status(thm)],[1392, 864, 168, 106, 742, 1362, 404, 118, 594, 510, 102, 117, 733])).
% 4.18/4.43 tff(1394,assumption,(~(mult(mult(a, mult(b, a)), c) = mult(a, mult(mult(b, a), c)))), introduced(assumption)).
% 4.18/4.43 tff(1395,plain,
% 4.18/4.43 (((~(mult(mult(a, c), mult(b, a)) = mult(a, mult(c, mult(b, a))))) | (~(mult(mult(a, mult(b, a)), c) = mult(a, mult(mult(b, a), c))))) | (mult(mult(a, mult(b, a)), c) = mult(a, mult(mult(b, a), c)))),
% 4.18/4.43 inference(tautology,[status(thm)],[])).
% 4.18/4.43 tff(1396,plain,
% 4.18/4.43 ((~(mult(mult(a, c), mult(b, a)) = mult(a, mult(c, mult(b, a))))) | (~(mult(mult(a, mult(b, a)), c) = mult(a, mult(mult(b, a), c))))),
% 4.18/4.43 inference(unit_resolution,[status(thm)],[1395, 1394])).
% 4.18/4.43 tff(1397,plain,
% 4.18/4.43 (~((~(mult(mult(a, c), mult(b, a)) = mult(a, mult(mult(b, a), c)))) | (~(mult(mult(a, mult(b, a)), c) = mult(a, mult(c, mult(b, a))))))),
% 4.18/4.43 inference(unit_resolution,[status(thm)],[132, 1396])).
% 4.18/4.43 tff(1398,plain,
% 4.18/4.43 (mult(mult(a, mult(b, a)), c) = mult(a, mult(c, mult(b, a)))),
% 4.18/4.43 inference(unit_resolution,[status(thm)],[217, 1397])).
% 4.18/4.43 tff(1399,plain,
% 4.18/4.43 (mult(mult(a, mult(b, a)), c) = mult(mult(a, c), mult(b, a))),
% 4.18/4.43 inference(transitivity,[status(thm)],[1398, 1282, 983, 1387, 1362])).
% 4.18/4.43 tff(1400,plain,
% 4.18/4.43 ((mult(mult(a, mult(b, a)), c) = mult(a, mult(mult(b, a), c))) <=> (mult(mult(a, c), mult(b, a)) = mult(a, mult(mult(b, a), c)))),
% 4.18/4.43 inference(monotonicity,[status(thm)],[1399])).
% 4.18/4.43 tff(1401,plain,
% 4.18/4.43 ((mult(mult(a, c), mult(b, a)) = mult(a, mult(mult(b, a), c))) <=> (mult(mult(a, mult(b, a)), c) = mult(a, mult(mult(b, a), c)))),
% 4.18/4.43 inference(symmetry,[status(thm)],[1400])).
% 4.18/4.43 tff(1402,plain,
% 4.18/4.43 (mult(mult(a, c), mult(b, a)) = mult(a, mult(mult(b, a), c))),
% 4.18/4.43 inference(unit_resolution,[status(thm)],[134, 1397])).
% 4.18/4.43 tff(1403,plain,
% 4.18/4.43 (mult(mult(a, mult(b, a)), c) = mult(a, mult(mult(b, a), c))),
% 4.18/4.43 inference(modus_ponens,[status(thm)],[1402, 1401])).
% 4.18/4.43 tff(1404,plain,
% 4.18/4.43 ($false),
% 4.18/4.43 inference(unit_resolution,[status(thm)],[1394, 1403])).
% 4.18/4.43 tff(1405,plain,((mult(mult(a, mult(b, a)), c) = mult(a, mult(mult(b, a), c))) | (~(mult(mult(a, mult(c, a)), b) = mult(a, mult(mult(c, a), b)))) | (~(mult(mult(mult(a, c), a), b) = mult(mult(a, c), mult(b, a)))) | (~(mult(mult(a, c), a) = mult(a, mult(c, a)))) | (~(mult(mult(c, a), b) = mult(c, mult(b, a))))), inference(lemma,lemma(discharge,[]))).
% 4.18/4.43 tff(1406,plain,
% 4.18/4.43 (mult(mult(a, mult(b, a)), c) = mult(a, mult(mult(b, a), c))),
% 4.18/4.43 inference(unit_resolution,[status(thm)],[1405, 864, 1362, 742, 1393])).
% 4.18/4.43 tff(1407,plain,
% 4.18/4.43 (mult(mult(a, mult(c, a)), b) = mult(a, mult(b, mult(c, a)))),
% 4.18/4.43 inference(transitivity,[status(thm)],[1387, 1362, 615, 1106, 152, 510, 103])).
% 4.18/4.43 tff(1408,plain,
% 4.18/4.43 ($false),
% 4.18/4.43 inference(unit_resolution,[status(thm)],[733, 1407])).
% 4.18/4.43 tff(1409,plain,((~(mult(mult(a, mult(c, b)), a) = mult(a, mult(a, mult(c, b))))) | (mult(mult(a, mult(c, a)), b) = mult(a, mult(b, mult(c, a)))) | (~(mult(mult(mult(a, c), a), b) = mult(mult(a, c), mult(b, a)))) | (~(mult(mult(mult(a, c), b), a) = mult(mult(a, c), mult(a, b)))) | (~(mult(mult(a, mult(b, c)), a) = mult(a, mult(mult(b, c), a)))) | (~(mult(mult(b, c), a) = mult(b, mult(c, a)))) | (~(mult(mult(a, c), b) = mult(a, mult(b, c)))) | (~(mult(mult(b, a), c) = mult(b, mult(a, c)))) | (~(mult(mult(a, b), mult(a, c)) = mult(a, mult(b, mult(a, c))))) | (~(mult(mult(mult(a, b), c), a) = mult(mult(a, b), mult(a, c)))) | (~(mult(mult(a, b), c) = mult(a, mult(c, b)))) | (~(mult(mult(a, c), a) = mult(a, mult(c, a))))), inference(lemma,lemma(discharge,[]))).
% 4.18/4.43 tff(1410,plain,
% 4.18/4.43 (~(mult(mult(a, mult(c, b)), a) = mult(a, mult(a, mult(c, b))))),
% 4.18/4.43 inference(unit_resolution,[status(thm)],[1409, 864, 1362, 594, 510, 102, 117, 118, 404, 168, 106, 733])).
% 4.18/4.43 tff(1411,plain,
% 4.18/4.43 ((~(mult(mult(a, a), mult(c, b)) = mult(a, mult(mult(c, b), a)))) | (~(mult(mult(a, mult(c, b)), a) = mult(a, mult(a, mult(c, b)))))),
% 4.18/4.43 inference(unit_resolution,[status(thm)],[88, 1410])).
% 4.18/4.43 tff(1412,plain,
% 4.18/4.43 (~((~(mult(mult(a, a), mult(c, b)) = mult(a, mult(a, mult(c, b))))) | (~(mult(mult(a, mult(c, b)), a) = mult(a, mult(mult(c, b), a)))))),
% 4.18/4.43 inference(unit_resolution,[status(thm)],[1050, 1411])).
% 4.18/4.43 tff(1413,plain,
% 4.18/4.43 (mult(mult(a, mult(c, b)), a) = mult(a, mult(mult(c, b), a))),
% 4.18/4.43 inference(unit_resolution,[status(thm)],[79, 1412])).
% 4.18/4.43 tff(1414,plain,
% 4.18/4.43 (mult(a, mult(c, mult(a, b))) = mult(a, mult(mult(c, b), a))),
% 4.18/4.43 inference(monotonicity,[status(thm)],[1111])).
% 4.18/4.43 tff(1415,plain,
% 4.18/4.43 (mult(a, mult(c, mult(a, b))) = mult(mult(mult(a, b), c), a)),
% 4.18/4.43 inference(transitivity,[status(thm)],[1414, 708, 260])).
% 4.18/4.43 tff(1416,plain,
% 4.18/4.43 ((mult(mult(a, c), mult(a, b)) = mult(a, mult(c, mult(a, b)))) <=> (mult(a, mult(b, mult(c, a))) = mult(mult(mult(a, b), c), a))),
% 4.18/4.43 inference(monotonicity,[status(thm)],[1250, 1415])).
% 4.18/4.43 tff(1417,plain,
% 4.18/4.43 ((mult(a, mult(b, mult(c, a))) = mult(mult(mult(a, b), c), a)) <=> (mult(mult(a, c), mult(a, b)) = mult(a, mult(c, mult(a, b))))),
% 4.18/4.43 inference(symmetry,[status(thm)],[1416])).
% 4.18/4.43 tff(1418,plain,
% 4.18/4.43 ((~(mult(a, mult(b, mult(c, a))) = mult(mult(mult(a, b), c), a))) <=> (~(mult(mult(a, c), mult(a, b)) = mult(a, mult(c, mult(a, b)))))),
% 4.18/4.43 inference(monotonicity,[status(thm)],[1417])).
% 4.18/4.43 tff(1419,plain,
% 4.18/4.43 (~(mult(mult(a, c), mult(a, b)) = mult(a, mult(c, mult(a, b))))),
% 4.18/4.43 inference(modus_ponens,[status(thm)],[194, 1418])).
% 4.18/4.43 tff(1420,plain,
% 4.18/4.43 ((~(mult(mult(a, mult(a, b)), c) = mult(a, mult(mult(a, b), c)))) | (~(mult(mult(a, c), mult(a, b)) = mult(a, mult(c, mult(a, b)))))),
% 4.18/4.43 inference(unit_resolution,[status(thm)],[604, 1419])).
% 4.18/4.43 tff(1421,plain,
% 4.18/4.43 (~((~(mult(mult(a, mult(a, b)), c) = mult(a, mult(c, mult(a, b))))) | (~(mult(mult(a, c), mult(a, b)) = mult(a, mult(mult(a, b), c)))))),
% 4.18/4.43 inference(unit_resolution,[status(thm)],[292, 1420])).
% 4.18/4.43 tff(1422,plain,
% 4.18/4.43 (mult(mult(a, c), mult(a, b)) = mult(a, mult(mult(a, b), c))),
% 4.18/4.43 inference(unit_resolution,[status(thm)],[601, 1421])).
% 4.18/4.43 tff(1423,plain,
% 4.18/4.43 (mult(mult(a, mult(b, c)), a) = mult(mult(mult(a, c), b), a)),
% 4.18/4.43 inference(symmetry,[status(thm)],[152])).
% 4.18/4.43 tff(1424,plain,
% 4.18/4.43 (mult(a, mult(mult(b, c), a)) = mult(mult(a, mult(b, c)), a)),
% 4.18/4.43 inference(symmetry,[status(thm)],[510])).
% 4.18/4.43 tff(1425,plain,
% 4.18/4.43 (mult(a, mult(b, mult(c, a))) = mult(a, mult(mult(a, b), c))),
% 4.18/4.43 inference(transitivity,[status(thm)],[1196, 1424, 1423, 594, 1422])).
% 4.18/4.43 tff(1426,plain,
% 4.18/4.43 (ld(a, mult(a, mult(b, mult(c, a)))) = ld(a, mult(a, mult(mult(a, b), c)))),
% 4.18/4.43 inference(monotonicity,[status(thm)],[1425])).
% 4.18/4.43 tff(1427,plain,
% 4.18/4.43 (ld(a, mult(a, mult(mult(a, b), c))) = ld(a, mult(a, mult(b, mult(c, a))))),
% 4.18/4.43 inference(symmetry,[status(thm)],[1426])).
% 4.18/4.43 tff(1428,plain,
% 4.18/4.43 ((~![B: $i, A: $i] : (ld(A, mult(A, B)) = B)) | (ld(a, mult(a, mult(a, b))) = mult(a, b))),
% 4.18/4.43 inference(quant_inst,[status(thm)],[])).
% 4.18/4.43 tff(1429,plain,
% 4.18/4.43 (ld(a, mult(a, mult(a, b))) = mult(a, b)),
% 4.18/4.43 inference(unit_resolution,[status(thm)],[1428, 9])).
% 4.18/4.43 tff(1430,plain,
% 4.18/4.43 ((~![B: $i, A: $i] : (rd(mult(A, B), B) = A)) | (rd(mult(mult(a, mult(a, b)), c), c) = mult(a, mult(a, b)))),
% 4.18/4.43 inference(quant_inst,[status(thm)],[])).
% 4.26/4.43 tff(1431,plain,
% 4.26/4.43 (rd(mult(mult(a, mult(a, b)), c), c) = mult(a, mult(a, b))),
% 4.26/4.43 inference(unit_resolution,[status(thm)],[1430, 72])).
% 4.26/4.43 tff(1432,plain,
% 4.26/4.43 (mult(mult(a, mult(a, b)), c) = mult(a, mult(c, mult(a, b)))),
% 4.26/4.43 inference(unit_resolution,[status(thm)],[287, 1421])).
% 4.26/4.43 tff(1433,plain,
% 4.26/4.43 (mult(a, mult(c, mult(a, b))) = mult(mult(a, mult(a, b)), c)),
% 4.26/4.43 inference(symmetry,[status(thm)],[1432])).
% 4.26/4.43 tff(1434,plain,
% 4.26/4.43 (mult(a, mult(mult(c, b), a)) = mult(a, mult(c, mult(a, b)))),
% 4.26/4.43 inference(symmetry,[status(thm)],[1414])).
% 4.26/4.43 tff(1435,assumption,(mult(mult(a, mult(b, a)), c) = mult(a, mult(mult(b, a), c))), introduced(assumption)).
% 4.26/4.43 tff(1436,plain,
% 4.26/4.43 (mult(mult(a, mult(b, a)), c) = mult(mult(a, mult(a, b)), c)),
% 4.26/4.43 inference(transitivity,[status(thm)],[1435, 148, 405, 403, 261, 707, 1434, 1433])).
% 4.26/4.43 tff(1437,plain,
% 4.26/4.43 (rd(mult(mult(a, mult(b, a)), c), c) = rd(mult(mult(a, mult(a, b)), c), c)),
% 4.26/4.43 inference(monotonicity,[status(thm)],[1436])).
% 4.26/4.43 tff(1438,plain,
% 4.26/4.43 ((~![B: $i, A: $i] : (rd(mult(A, B), B) = A)) | (rd(mult(mult(a, mult(b, a)), c), c) = mult(a, mult(b, a)))),
% 4.26/4.43 inference(quant_inst,[status(thm)],[])).
% 4.26/4.43 tff(1439,plain,
% 4.26/4.43 (rd(mult(mult(a, mult(b, a)), c), c) = mult(a, mult(b, a))),
% 4.26/4.43 inference(unit_resolution,[status(thm)],[1438, 72])).
% 4.26/4.43 tff(1440,plain,
% 4.26/4.43 (mult(a, mult(b, a)) = rd(mult(mult(a, mult(b, a)), c), c)),
% 4.26/4.43 inference(symmetry,[status(thm)],[1439])).
% 4.26/4.43 tff(1441,plain,
% 4.26/4.43 (mult(a, mult(b, a)) = mult(a, mult(a, b))),
% 4.26/4.43 inference(transitivity,[status(thm)],[1440, 1437, 1431])).
% 4.26/4.43 tff(1442,plain,
% 4.26/4.43 (ld(a, mult(a, mult(b, a))) = ld(a, mult(a, mult(a, b)))),
% 4.26/4.43 inference(monotonicity,[status(thm)],[1441])).
% 4.26/4.43 tff(1443,plain,
% 4.26/4.43 ((~![B: $i, A: $i] : (ld(A, mult(A, B)) = B)) | (ld(a, mult(a, mult(b, a))) = mult(b, a))),
% 4.26/4.43 inference(quant_inst,[status(thm)],[])).
% 4.26/4.43 tff(1444,plain,
% 4.26/4.43 (ld(a, mult(a, mult(b, a))) = mult(b, a)),
% 4.26/4.43 inference(unit_resolution,[status(thm)],[1443, 9])).
% 4.26/4.43 tff(1445,plain,
% 4.26/4.43 (mult(b, a) = ld(a, mult(a, mult(b, a)))),
% 4.26/4.43 inference(symmetry,[status(thm)],[1444])).
% 4.26/4.43 tff(1446,plain,
% 4.26/4.43 (mult(b, a) = mult(a, b)),
% 4.26/4.43 inference(transitivity,[status(thm)],[1445, 1442, 1429])).
% 4.26/4.43 tff(1447,plain,
% 4.26/4.43 (mult(mult(b, a), c) = mult(mult(a, b), c)),
% 4.26/4.43 inference(monotonicity,[status(thm)],[1446])).
% 4.26/4.43 tff(1448,plain,
% 4.26/4.43 (mult(mult(b, a), c) = mult(b, mult(c, a))),
% 4.26/4.43 inference(transitivity,[status(thm)],[1447, 561, 1427, 77])).
% 4.26/4.43 tff(1449,plain,
% 4.26/4.43 ($false),
% 4.26/4.43 inference(unit_resolution,[status(thm)],[14, 1448])).
% 4.26/4.43 tff(1450,plain,((~(mult(mult(a, mult(b, a)), c) = mult(a, mult(mult(b, a), c)))) | (mult(mult(b, a), c) = mult(b, mult(c, a))) | (~(mult(mult(a, mult(c, b)), a) = mult(a, mult(mult(c, b), a)))) | (~(mult(mult(mult(a, b), c), a) = mult(mult(a, b), mult(a, c)))) | (~(mult(mult(a, b), mult(a, c)) = mult(a, mult(b, mult(a, c))))) | (~(mult(mult(b, a), c) = mult(b, mult(a, c)))) | (~(mult(mult(a, b), c) = mult(a, mult(c, b)))) | (~(mult(mult(c, b), a) = mult(c, mult(a, b)))) | (~(mult(mult(mult(a, c), b), a) = mult(mult(a, c), mult(a, b)))) | (~(mult(mult(a, mult(b, c)), a) = mult(a, mult(mult(b, c), a)))) | (~(mult(mult(b, c), a) = mult(b, mult(c, a)))) | (~(mult(mult(a, c), b) = mult(a, mult(b, c))))), inference(lemma,lemma(discharge,[]))).
% 4.26/4.43 tff(1451,plain,
% 4.26/4.43 (~(mult(mult(c, b), a) = mult(c, mult(a, b)))),
% 4.26/4.43 inference(unit_resolution,[status(thm)],[1450, 1413, 14, 168, 404, 118, 106, 1406, 594, 510, 102, 117])).
% 4.26/4.43 tff(1452,plain,
% 4.26/4.43 ((~(mult(mult(c, b), a) = mult(c, mult(a, b)))) | (~(mult(mult(c, a), b) = mult(c, mult(b, a))))),
% 4.26/4.43 inference(unit_resolution,[status(thm)],[546, 1451])).
% 4.26/4.43 tff(1453,plain,
% 4.26/4.43 (~((~(mult(mult(c, b), a) = mult(c, mult(b, a)))) | (~(mult(mult(c, a), b) = mult(c, mult(a, b)))))),
% 4.26/4.43 inference(unit_resolution,[status(thm)],[301, 1452])).
% 4.26/4.43 tff(1454,plain,
% 4.26/4.43 (mult(mult(c, a), b) = mult(c, mult(a, b))),
% 4.26/4.43 inference(unit_resolution,[status(thm)],[296, 1453])).
% 4.26/4.43 tff(1455,plain,
% 4.26/4.43 (mult(c, mult(a, b)) = mult(mult(c, a), b)),
% 4.26/4.43 inference(symmetry,[status(thm)],[1454])).
% 4.26/4.43 tff(1456,plain,
% 4.26/4.43 (mult(c, mult(a, b)) = mult(c, mult(b, a))),
% 4.26/4.43 inference(transitivity,[status(thm)],[1455, 1393])).
% 4.26/4.43 tff(1457,plain,
% 4.26/4.43 ((mult(mult(c, b), a) = mult(c, mult(a, b))) <=> (mult(mult(c, b), a) = mult(c, mult(b, a)))),
% 4.26/4.43 inference(monotonicity,[status(thm)],[1456])).
% 4.26/4.43 tff(1458,plain,
% 4.26/4.43 ((mult(mult(c, b), a) = mult(c, mult(b, a))) <=> (mult(mult(c, b), a) = mult(c, mult(a, b)))),
% 4.26/4.43 inference(symmetry,[status(thm)],[1457])).
% 4.26/4.43 tff(1459,plain,
% 4.26/4.43 (mult(mult(c, b), a) = mult(c, mult(b, a))),
% 4.26/4.43 inference(unit_resolution,[status(thm)],[543, 1453])).
% 4.26/4.43 tff(1460,plain,
% 4.26/4.43 (mult(mult(c, b), a) = mult(c, mult(a, b))),
% 4.26/4.43 inference(modus_ponens,[status(thm)],[1459, 1458])).
% 4.26/4.43 tff(1461,plain,
% 4.26/4.43 ($false),
% 4.26/4.43 inference(unit_resolution,[status(thm)],[1451, 1460])).
% 4.26/4.43 tff(1462,plain,((~(mult(mult(a, c), a) = mult(a, mult(c, a)))) | (mult(mult(b, a), c) = mult(b, mult(c, a))) | (~(mult(mult(mult(a, b), c), a) = mult(mult(a, b), mult(a, c)))) | (~(mult(mult(a, b), mult(a, c)) = mult(a, mult(b, mult(a, c))))) | (~(mult(mult(b, a), c) = mult(b, mult(a, c)))) | (~(mult(mult(a, b), c) = mult(a, mult(c, b)))) | (~(mult(mult(mult(a, c), b), a) = mult(mult(a, c), mult(a, b)))) | (~(mult(mult(a, mult(b, c)), a) = mult(a, mult(mult(b, c), a)))) | (~(mult(mult(b, c), a) = mult(b, mult(c, a)))) | (~(mult(mult(a, c), b) = mult(a, mult(b, c)))) | (~(mult(mult(mult(a, c), a), b) = mult(mult(a, c), mult(b, a)))) | (mult(mult(a, mult(c, a)), b) = mult(a, mult(b, mult(c, a)))) | (~(mult(mult(a, mult(c, a)), b) = mult(a, mult(mult(c, a), b))))), inference(lemma,lemma(discharge,[]))).
% 4.26/4.43 tff(1463,plain,
% 4.26/4.43 (~(mult(mult(a, c), a) = mult(a, mult(c, a)))),
% 4.26/4.43 inference(unit_resolution,[status(thm)],[1462, 1335, 776, 14, 118, 1160, 1361, 510, 102, 1157, 1360, 733, 742])).
% 4.26/4.43 tff(1464,plain,
% 4.26/4.43 ((~(mult(mult(a, c), a) = mult(a, mult(c, a)))) | (~(mult(mult(a, a), c) = mult(a, mult(a, c))))),
% 4.26/4.43 inference(unit_resolution,[status(thm)],[892, 1463])).
% 4.26/4.43 tff(1465,plain,
% 4.26/4.43 (~((~(mult(mult(a, c), a) = mult(a, mult(a, c)))) | (~(mult(mult(a, a), c) = mult(a, mult(c, a)))))),
% 4.26/4.43 inference(unit_resolution,[status(thm)],[830, 1464])).
% 4.26/4.43 tff(1466,plain,
% 4.26/4.43 (mult(mult(a, a), c) = mult(a, mult(c, a))),
% 4.26/4.43 inference(unit_resolution,[status(thm)],[825, 1465])).
% 4.26/4.43 tff(1467,plain,
% 4.26/4.43 (mult(mult(mult(a, a), c), b) = mult(mult(a, mult(c, a)), b)),
% 4.26/4.43 inference(monotonicity,[status(thm)],[1466])).
% 4.26/4.43 tff(1468,plain,
% 4.26/4.43 (~(mult(mult(mult(a, a), c), b) = mult(mult(a, a), mult(b, c)))),
% 4.26/4.43 inference(unit_resolution,[status(thm)],[1305, 1466, 118, 1157, 742, 1154, 14])).
% 4.26/4.43 tff(1469,plain,
% 4.26/4.43 ((~(mult(mult(mult(a, a), b), c) = mult(mult(a, a), mult(c, b)))) | (~(mult(mult(mult(a, a), c), b) = mult(mult(a, a), mult(b, c))))),
% 4.26/4.43 inference(unit_resolution,[status(thm)],[1012, 1468])).
% 4.26/4.43 tff(1470,plain,
% 4.26/4.43 (~((~(mult(mult(mult(a, a), b), c) = mult(mult(a, a), mult(b, c)))) | (~(mult(mult(mult(a, a), c), b) = mult(mult(a, a), mult(c, b)))))),
% 4.26/4.43 inference(unit_resolution,[status(thm)],[1010, 1469])).
% 4.26/4.43 tff(1471,plain,
% 4.26/4.43 (mult(mult(mult(a, a), c), b) = mult(mult(a, a), mult(c, b))),
% 4.26/4.43 inference(unit_resolution,[status(thm)],[1006, 1470])).
% 4.26/4.43 tff(1472,plain,
% 4.26/4.43 (mult(mult(a, a), mult(c, b)) = mult(mult(mult(a, a), c), b)),
% 4.26/4.43 inference(symmetry,[status(thm)],[1471])).
% 4.26/4.43 tff(1473,plain,
% 4.26/4.43 (~(mult(mult(a, a), mult(c, b)) = mult(a, mult(a, mult(c, b))))),
% 4.26/4.43 inference(unit_resolution,[status(thm)],[1265, 268, 742, 594, 510, 102, 117, 818, 733, 789, 106])).
% 4.26/4.43 tff(1474,plain,
% 4.26/4.43 ((~(mult(mult(a, a), mult(c, b)) = mult(a, mult(a, mult(c, b))))) | (~(mult(mult(a, mult(c, b)), a) = mult(a, mult(mult(c, b), a))))),
% 4.26/4.43 inference(unit_resolution,[status(thm)],[1167, 1473])).
% 4.26/4.43 tff(1475,plain,
% 4.26/4.43 (~((~(mult(mult(a, a), mult(c, b)) = mult(a, mult(mult(c, b), a)))) | (~(mult(mult(a, mult(c, b)), a) = mult(a, mult(a, mult(c, b))))))),
% 4.26/4.43 inference(unit_resolution,[status(thm)],[1050, 1474])).
% 4.26/4.43 tff(1476,plain,
% 4.26/4.43 (mult(mult(a, mult(c, b)), a) = mult(a, mult(a, mult(c, b)))),
% 4.26/4.43 inference(unit_resolution,[status(thm)],[88, 1475])).
% 4.26/4.43 tff(1477,plain,
% 4.26/4.43 (mult(a, mult(a, mult(c, b))) = mult(mult(a, mult(c, b)), a)),
% 4.26/4.43 inference(symmetry,[status(thm)],[1476])).
% 4.26/4.43 tff(1478,plain,
% 4.26/4.43 (mult(a, mult(mult(a, b), c)) = mult(mult(mult(a, b), c), a)),
% 4.26/4.43 inference(transitivity,[status(thm)],[258, 1477, 260])).
% 4.26/4.43 tff(1479,plain,
% 4.26/4.43 ((mult(mult(a, c), mult(a, b)) = mult(a, mult(mult(a, b), c))) <=> (mult(a, mult(b, mult(c, a))) = mult(mult(mult(a, b), c), a))),
% 4.26/4.43 inference(monotonicity,[status(thm)],[1250, 1478])).
% 4.26/4.43 tff(1480,plain,
% 4.26/4.43 ((mult(a, mult(b, mult(c, a))) = mult(mult(mult(a, b), c), a)) <=> (mult(mult(a, c), mult(a, b)) = mult(a, mult(mult(a, b), c)))),
% 4.26/4.43 inference(symmetry,[status(thm)],[1479])).
% 4.26/4.43 tff(1481,plain,
% 4.26/4.43 ((~(mult(a, mult(b, mult(c, a))) = mult(mult(mult(a, b), c), a))) <=> (~(mult(mult(a, c), mult(a, b)) = mult(a, mult(mult(a, b), c))))),
% 4.26/4.43 inference(monotonicity,[status(thm)],[1480])).
% 4.26/4.43 tff(1482,plain,
% 4.26/4.43 (~(mult(mult(a, c), mult(a, b)) = mult(a, mult(mult(a, b), c)))),
% 4.26/4.43 inference(modus_ponens,[status(thm)],[194, 1481])).
% 4.26/4.43 tff(1483,plain,
% 4.26/4.43 ((~(mult(mult(a, mult(a, b)), c) = mult(a, mult(c, mult(a, b))))) | (~(mult(mult(a, c), mult(a, b)) = mult(a, mult(mult(a, b), c))))),
% 4.26/4.43 inference(unit_resolution,[status(thm)],[601, 1482])).
% 4.26/4.43 tff(1484,plain,
% 4.26/4.43 ($false),
% 4.26/4.43 inference(unit_resolution,[status(thm)],[292, 1256, 1483])).
% 4.26/4.43 tff(1485,plain,((~(mult(mult(c, a), b) = mult(c, mult(a, b)))) | (mult(mult(a, mult(c, a)), b) = mult(a, mult(b, mult(c, a)))) | (~(mult(mult(a, mult(c, a)), b) = mult(a, mult(mult(c, a), b)))) | (~(mult(mult(mult(a, c), b), a) = mult(mult(a, c), mult(a, b)))) | (~(mult(mult(a, mult(b, c)), a) = mult(a, mult(mult(b, c), a)))) | (~(mult(mult(b, c), a) = mult(b, mult(c, a)))) | (~(mult(mult(a, c), b) = mult(a, mult(b, c)))) | (~(mult(mult(a, b), c) = mult(a, mult(c, b)))) | (~(mult(mult(a, a), c) = mult(a, mult(c, a)))) | (~(mult(mult(mult(a, a), c), b) = mult(mult(a, a), mult(c, b))))), inference(lemma,lemma(discharge,[]))).
% 4.26/4.43 tff(1486,plain,
% 4.26/4.43 (~(mult(mult(c, a), b) = mult(c, mult(a, b)))),
% 4.26/4.43 inference(unit_resolution,[status(thm)],[1485, 1361, 742, 733, 510, 102, 1157, 1160, 1466, 1471])).
% 4.26/4.43 tff(1487,plain,
% 4.26/4.43 ((~(mult(mult(c, b), a) = mult(c, mult(b, a)))) | (~(mult(mult(c, a), b) = mult(c, mult(a, b))))),
% 4.26/4.43 inference(unit_resolution,[status(thm)],[296, 1486])).
% 4.26/4.43 tff(1488,plain,
% 4.26/4.43 (~((~(mult(mult(c, b), a) = mult(c, mult(a, b)))) | (~(mult(mult(c, a), b) = mult(c, mult(b, a)))))),
% 4.26/4.43 inference(unit_resolution,[status(thm)],[301, 1487])).
% 4.26/4.43 tff(1489,plain,
% 4.26/4.43 (mult(mult(c, a), b) = mult(c, mult(b, a))),
% 4.26/4.43 inference(unit_resolution,[status(thm)],[303, 1488])).
% 4.26/4.43 tff(1490,plain,
% 4.26/4.43 (~(mult(mult(a, mult(c, b)), a) = mult(a, mult(a, mult(c, b))))),
% 4.26/4.43 inference(unit_resolution,[status(thm)],[572, 1489, 1486, 118, 1335, 776, 1160])).
% 4.26/4.43 tff(1491,plain,
% 4.26/4.43 ((~(mult(mult(a, a), mult(c, b)) = mult(a, mult(mult(c, b), a)))) | (~(mult(mult(a, mult(c, b)), a) = mult(a, mult(a, mult(c, b)))))),
% 4.26/4.43 inference(unit_resolution,[status(thm)],[88, 1490])).
% 4.26/4.43 tff(1492,plain,
% 4.26/4.43 (~((~(mult(mult(a, a), mult(c, b)) = mult(a, mult(a, mult(c, b))))) | (~(mult(mult(a, mult(c, b)), a) = mult(a, mult(mult(c, b), a)))))),
% 4.26/4.43 inference(unit_resolution,[status(thm)],[1050, 1491])).
% 4.26/4.43 tff(1493,plain,
% 4.26/4.43 (mult(mult(a, a), mult(c, b)) = mult(a, mult(a, mult(c, b)))),
% 4.26/4.43 inference(unit_resolution,[status(thm)],[1167, 1492])).
% 4.26/4.43 tff(1494,plain,
% 4.26/4.43 (mult(a, mult(a, mult(c, b))) = mult(mult(a, a), mult(c, b))),
% 4.26/4.43 inference(symmetry,[status(thm)],[1493])).
% 4.26/4.43 tff(1495,plain,
% 4.26/4.43 (mult(a, mult(mult(a, b), c)) = mult(a, mult(a, mult(c, b)))),
% 4.26/4.43 inference(monotonicity,[status(thm)],[1160])).
% 4.26/4.43 tff(1496,plain,
% 4.26/4.43 (mult(a, mult(mult(a, b), c)) = mult(mult(a, mult(c, a)), b)),
% 4.26/4.43 inference(transitivity,[status(thm)],[1495, 1494, 1472, 1467])).
% 4.26/4.43 tff(1497,plain,
% 4.26/4.43 (mult(mult(a, c), mult(a, b)) = mult(mult(mult(a, c), b), a)),
% 4.26/4.43 inference(symmetry,[status(thm)],[1361])).
% 4.26/4.43 tff(1498,plain,
% 4.26/4.43 (mult(mult(a, c), mult(a, b)) = mult(a, mult(b, mult(c, a)))),
% 4.26/4.43 inference(transitivity,[status(thm)],[1497, 1158, 510, 103])).
% 4.26/4.43 tff(1499,plain,
% 4.26/4.43 ((mult(mult(a, c), mult(a, b)) = mult(a, mult(mult(a, b), c))) <=> (mult(a, mult(b, mult(c, a))) = mult(mult(a, mult(c, a)), b))),
% 4.26/4.44 inference(monotonicity,[status(thm)],[1498, 1496])).
% 4.26/4.44 tff(1500,plain,
% 4.26/4.44 ((mult(mult(a, c), mult(a, b)) = mult(a, mult(mult(a, b), c))) <=> (mult(mult(a, mult(c, a)), b) = mult(a, mult(b, mult(c, a))))),
% 4.26/4.44 inference(transitivity,[status(thm)],[1499, 1152])).
% 4.26/4.44 tff(1501,plain,
% 4.26/4.44 ((mult(mult(a, mult(c, a)), b) = mult(a, mult(b, mult(c, a)))) <=> (mult(mult(a, c), mult(a, b)) = mult(a, mult(mult(a, b), c)))),
% 4.26/4.44 inference(symmetry,[status(thm)],[1500])).
% 4.26/4.44 tff(1502,plain,
% 4.26/4.44 ((~(mult(mult(a, mult(c, a)), b) = mult(a, mult(b, mult(c, a))))) <=> (~(mult(mult(a, c), mult(a, b)) = mult(a, mult(mult(a, b), c))))),
% 4.26/4.44 inference(monotonicity,[status(thm)],[1501])).
% 4.26/4.44 tff(1503,plain,
% 4.26/4.44 (~(mult(mult(a, c), mult(a, b)) = mult(a, mult(mult(a, b), c)))),
% 4.26/4.44 inference(modus_ponens,[status(thm)],[733, 1502])).
% 4.26/4.44 tff(1504,plain,
% 4.26/4.44 ((~(mult(mult(a, mult(a, b)), c) = mult(a, mult(c, mult(a, b))))) | (~(mult(mult(a, c), mult(a, b)) = mult(a, mult(mult(a, b), c))))),
% 4.26/4.44 inference(unit_resolution,[status(thm)],[601, 1503])).
% 4.26/4.44 tff(1505,plain,
% 4.26/4.44 (mult(mult(a, mult(c, b)), a) = mult(mult(mult(a, b), c), a)),
% 4.26/4.44 inference(monotonicity,[status(thm)],[1328])).
% 4.26/4.44 tff(1506,plain,
% 4.26/4.44 (mult(mult(a, mult(c, b)), a) = mult(a, mult(mult(c, b), a))),
% 4.26/4.44 inference(unit_resolution,[status(thm)],[79, 1492])).
% 4.26/4.44 tff(1507,plain,
% 4.26/4.44 (mult(a, mult(mult(c, b), a)) = mult(mult(a, mult(c, b)), a)),
% 4.26/4.44 inference(symmetry,[status(thm)],[1506])).
% 4.26/4.44 tff(1508,plain,
% 4.26/4.44 (mult(mult(c, b), a) = mult(c, mult(a, b))),
% 4.26/4.44 inference(unit_resolution,[status(thm)],[546, 1488])).
% 4.26/4.44 tff(1509,plain,
% 4.26/4.44 (mult(c, mult(a, b)) = mult(mult(c, b), a)),
% 4.26/4.44 inference(symmetry,[status(thm)],[1508])).
% 4.26/4.44 tff(1510,plain,
% 4.26/4.44 (mult(a, mult(c, mult(a, b))) = mult(a, mult(mult(c, b), a))),
% 4.26/4.44 inference(monotonicity,[status(thm)],[1509])).
% 4.26/4.44 tff(1511,plain,
% 4.26/4.44 (mult(a, mult(c, mult(a, b))) = mult(mult(mult(a, b), c), a)),
% 4.26/4.44 inference(transitivity,[status(thm)],[1510, 1507, 1505])).
% 4.26/4.44 tff(1512,plain,
% 4.26/4.44 ((mult(mult(a, c), mult(a, b)) = mult(a, mult(c, mult(a, b)))) <=> (mult(a, mult(b, mult(c, a))) = mult(mult(mult(a, b), c), a))),
% 4.26/4.44 inference(monotonicity,[status(thm)],[1498, 1511])).
% 4.26/4.44 tff(1513,plain,
% 4.26/4.44 ((mult(a, mult(b, mult(c, a))) = mult(mult(mult(a, b), c), a)) <=> (mult(mult(a, c), mult(a, b)) = mult(a, mult(c, mult(a, b))))),
% 4.26/4.44 inference(symmetry,[status(thm)],[1512])).
% 4.26/4.44 tff(1514,plain,
% 4.26/4.44 ((~(mult(a, mult(b, mult(c, a))) = mult(mult(mult(a, b), c), a))) <=> (~(mult(mult(a, c), mult(a, b)) = mult(a, mult(c, mult(a, b)))))),
% 4.26/4.44 inference(monotonicity,[status(thm)],[1513])).
% 4.26/4.44 tff(1515,plain,
% 4.26/4.44 (~(mult(mult(a, c), mult(a, b)) = mult(a, mult(c, mult(a, b))))),
% 4.26/4.44 inference(modus_ponens,[status(thm)],[194, 1514])).
% 4.26/4.44 tff(1516,plain,
% 4.26/4.44 ((~(mult(mult(a, mult(a, b)), c) = mult(a, mult(mult(a, b), c)))) | (~(mult(mult(a, c), mult(a, b)) = mult(a, mult(c, mult(a, b)))))),
% 4.26/4.44 inference(unit_resolution,[status(thm)],[604, 1515])).
% 4.26/4.44 tff(1517,plain,
% 4.26/4.44 ($false),
% 4.26/4.44 inference(unit_resolution,[status(thm)],[292, 1516, 1504])).
% 4.26/4.44 tff(1518,plain,((mult(mult(a, b), c) = mult(a, mult(b, c))) | (~(mult(mult(a, mult(b, c)), a) = mult(a, mult(mult(b, c), a)))) | (~(mult(mult(b, c), a) = mult(b, mult(c, a)))) | (mult(mult(a, mult(c, a)), b) = mult(a, mult(b, mult(c, a)))) | (~(mult(mult(b, a), c) = mult(b, mult(a, c)))) | (~(mult(mult(a, mult(c, a)), b) = mult(a, mult(mult(c, a), b)))) | (~(mult(mult(a, a), mult(b, c)) = mult(a, mult(a, mult(b, c))))) | (mult(mult(b, a), c) = mult(b, mult(c, a))) | (mult(mult(a, a), mult(b, c)) = mult(a, mult(mult(b, c), a))) | (~(mult(mult(a, b), mult(c, a)) = mult(a, mult(b, mult(c, a)))))), inference(lemma,lemma(discharge,[]))).
% 4.26/4.44 tff(1519,plain,
% 4.26/4.44 (mult(mult(a, a), mult(b, c)) = mult(a, mult(mult(b, c), a))),
% 4.26/4.44 inference(unit_resolution,[status(thm)],[1518, 1146, 749, 733, 747, 742, 1045, 753, 1148, 754])).
% 4.26/4.44 tff(1520,plain,
% 4.26/4.44 (mult(mult(a, mult(b, c)), a) = mult(a, mult(a, mult(b, c)))),
% 4.26/4.44 inference(modus_ponens,[status(thm)],[1519, 1151])).
% 4.26/4.44 tff(1521,plain,
% 4.26/4.44 ($false),
% 4.26/4.44 inference(unit_resolution,[status(thm)],[1142, 1520])).
% 4.26/4.44 tff(1522,plain,((mult(mult(b, c), a) = mult(b, mult(a, c))) | (mult(mult(a, mult(c, a)), b) = mult(a, mult(b, mult(c, a)))) | (~(mult(mult(a, mult(c, a)), b) = mult(a, mult(mult(c, a), b)))) | (~(mult(mult(a, b), mult(c, a)) = mult(a, mult(b, mult(c, a)))))), inference(lemma,lemma(discharge,[]))).
% 4.26/4.44 tff(1523,plain,
% 4.26/4.44 ($false),
% 4.26/4.44 inference(unit_resolution,[status(thm)],[1522, 740, 738, 734, 733])).
% 4.26/4.44 tff(1524,plain,((mult(mult(a, mult(c, a)), b) = mult(a, mult(b, mult(c, a)))) | (mult(mult(b, c), a) = mult(b, mult(a, c)))), inference(lemma,lemma(discharge,[]))).
% 4.26/4.44 tff(1525,plain,
% 4.26/4.44 (mult(mult(a, mult(c, a)), b) = mult(a, mult(b, mult(c, a)))),
% 4.26/4.44 inference(unit_resolution,[status(thm)],[1524, 732])).
% 4.26/4.44 tff(1526,plain,
% 4.26/4.44 (mult(mult(mult(a, c), a), b) = mult(mult(a, c), mult(b, a))),
% 4.26/4.44 inference(unit_resolution,[status(thm)],[954, 970])).
% 4.26/4.44 tff(1527,plain,
% 4.26/4.44 ((~![B: $i, A: $i] : (rd(mult(A, B), B) = A)) | (rd(mult(mult(mult(a, c), mult(b, a)), a), a) = mult(mult(a, c), mult(b, a)))),
% 4.26/4.44 inference(quant_inst,[status(thm)],[])).
% 4.26/4.44 tff(1528,plain,
% 4.26/4.44 (rd(mult(mult(mult(a, c), mult(b, a)), a), a) = mult(mult(a, c), mult(b, a))),
% 4.26/4.44 inference(unit_resolution,[status(thm)],[1527, 72])).
% 4.26/4.44 tff(1529,plain,
% 4.26/4.44 (mult(mult(mult(mult(a, c), a), b), a) = mult(mult(mult(a, c), mult(b, a)), a)),
% 4.26/4.44 inference(monotonicity,[status(thm)],[1526])).
% 4.26/4.44 tff(1530,plain,
% 4.26/4.44 ((~![C: $i, B: $i, A: $i] : (mult(mult(mult(A, B), C), B) = mult(A, mult(mult(B, C), B)))) | (mult(mult(mult(mult(a, c), a), b), a) = mult(mult(a, c), mult(mult(a, b), a)))),
% 4.26/4.44 inference(quant_inst,[status(thm)],[])).
% 4.26/4.44 tff(1531,plain,
% 4.26/4.44 (mult(mult(mult(mult(a, c), a), b), a) = mult(mult(a, c), mult(mult(a, b), a))),
% 4.26/4.44 inference(unit_resolution,[status(thm)],[1530, 860])).
% 4.26/4.44 tff(1532,plain,
% 4.26/4.44 (mult(mult(a, c), mult(mult(a, b), a)) = mult(mult(mult(mult(a, c), a), b), a)),
% 4.26/4.44 inference(symmetry,[status(thm)],[1531])).
% 4.26/4.44 tff(1533,assumption,(mult(mult(mult(a, c), mult(a, b)), a) = mult(mult(a, c), mult(mult(a, b), a))), introduced(assumption)).
% 4.26/4.44 tff(1534,plain,
% 4.26/4.44 (mult(mult(mult(mult(a, c), b), a), a) = mult(mult(mult(a, c), mult(a, b)), a)),
% 4.26/4.44 inference(monotonicity,[status(thm)],[971])).
% 4.26/4.44 tff(1535,plain,
% 4.26/4.44 (mult(mult(mult(mult(a, c), b), a), a) = mult(mult(mult(a, c), mult(b, a)), a)),
% 4.26/4.44 inference(transitivity,[status(thm)],[1534, 1533, 1532, 1529])).
% 4.26/4.44 tff(1536,plain,
% 4.26/4.44 (rd(mult(mult(mult(mult(a, c), b), a), a), a) = rd(mult(mult(mult(a, c), mult(b, a)), a), a)),
% 4.26/4.44 inference(monotonicity,[status(thm)],[1535])).
% 4.26/4.44 tff(1537,plain,
% 4.26/4.44 ((~![B: $i, A: $i] : (rd(mult(A, B), B) = A)) | (rd(mult(mult(mult(mult(a, c), b), a), a), a) = mult(mult(mult(a, c), b), a))),
% 4.26/4.44 inference(quant_inst,[status(thm)],[])).
% 4.26/4.44 tff(1538,plain,
% 4.26/4.44 (rd(mult(mult(mult(mult(a, c), b), a), a), a) = mult(mult(mult(a, c), b), a)),
% 4.26/4.44 inference(unit_resolution,[status(thm)],[1537, 72])).
% 4.26/4.44 tff(1539,plain,
% 4.26/4.44 (mult(mult(mult(a, c), b), a) = rd(mult(mult(mult(mult(a, c), b), a), a), a)),
% 4.26/4.44 inference(symmetry,[status(thm)],[1538])).
% 4.26/4.44 tff(1540,plain,
% 4.26/4.44 (mult(mult(mult(a, c), b), a) = mult(mult(a, c), mult(b, a))),
% 4.26/4.44 inference(transitivity,[status(thm)],[1539, 1536, 1528])).
% 4.26/4.44 tff(1541,plain,
% 4.26/4.44 ($false),
% 4.26/4.44 inference(unit_resolution,[status(thm)],[614, 1540])).
% 4.26/4.44 tff(1542,plain,((~(mult(mult(mult(a, c), mult(a, b)), a) = mult(mult(a, c), mult(mult(a, b), a)))) | (mult(mult(mult(a, c), b), a) = mult(mult(a, c), mult(b, a)))), inference(lemma,lemma(discharge,[]))).
% 4.26/4.44 tff(1543,plain,
% 4.26/4.44 (~(mult(mult(mult(a, c), mult(a, b)), a) = mult(mult(a, c), mult(mult(a, b), a)))),
% 4.26/4.44 inference(unit_resolution,[status(thm)],[1542, 614])).
% 4.26/4.44 tff(1544,plain,
% 4.26/4.44 (mult(a, mult(a, b)) = mult(mult(a, b), a)),
% 4.26/4.44 inference(symmetry,[status(thm)],[250])).
% 4.26/4.44 tff(1545,plain,
% 4.26/4.44 (mult(mult(a, c), mult(a, mult(a, b))) = mult(mult(a, c), mult(mult(a, b), a))),
% 4.26/4.44 inference(monotonicity,[status(thm)],[1544])).
% 4.26/4.44 tff(1546,assumption,(~(mult(mult(mult(a, c), mult(a, b)), a) = mult(mult(a, c), mult(mult(a, b), a)))), introduced(assumption)).
% 4.26/4.44 tff(1547,plain,
% 4.26/4.44 (((~(mult(mult(mult(a, c), a), mult(a, b)) = mult(mult(a, c), mult(a, mult(a, b))))) | (~(mult(mult(mult(a, c), mult(a, b)), a) = mult(mult(a, c), mult(mult(a, b), a))))) | (mult(mult(mult(a, c), mult(a, b)), a) = mult(mult(a, c), mult(mult(a, b), a)))),
% 4.26/4.44 inference(tautology,[status(thm)],[])).
% 4.26/4.44 tff(1548,plain,
% 4.26/4.44 ((~(mult(mult(mult(a, c), a), mult(a, b)) = mult(mult(a, c), mult(a, mult(a, b))))) | (~(mult(mult(mult(a, c), mult(a, b)), a) = mult(mult(a, c), mult(mult(a, b), a))))),
% 4.26/4.44 inference(unit_resolution,[status(thm)],[1547, 1546])).
% 4.26/4.44 tff(1549,plain,
% 4.26/4.44 (((~![X0: $i, X1: $i, X2: $i] : ((~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X2, X1)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X1, X2)))))) | (~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X1, X2)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X2, X1)))))))) | ((~((~(mult(mult(mult(a, c), a), mult(a, b)) = mult(mult(a, c), mult(a, mult(a, b))))) | (~(mult(mult(mult(a, c), mult(a, b)), a) = mult(mult(a, c), mult(mult(a, b), a)))))) | (~((~(mult(mult(mult(a, c), mult(a, b)), a) = mult(mult(a, c), mult(a, mult(a, b))))) | (~(mult(mult(mult(a, c), a), mult(a, b)) = mult(mult(a, c), mult(mult(a, b), a)))))))) <=> ((~![X0: $i, X1: $i, X2: $i] : ((~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X2, X1)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X1, X2)))))) | (~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X1, X2)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X2, X1)))))))) | (~((~(mult(mult(mult(a, c), a), mult(a, b)) = mult(mult(a, c), mult(a, mult(a, b))))) | (~(mult(mult(mult(a, c), mult(a, b)), a) = mult(mult(a, c), mult(mult(a, b), a)))))) | (~((~(mult(mult(mult(a, c), mult(a, b)), a) = mult(mult(a, c), mult(a, mult(a, b))))) | (~(mult(mult(mult(a, c), a), mult(a, b)) = mult(mult(a, c), mult(mult(a, b), a)))))))),
% 4.26/4.44 inference(rewrite,[status(thm)],[])).
% 4.26/4.44 tff(1550,plain,
% 4.26/4.44 (((~((~(mult(mult(mult(a, c), mult(a, b)), a) = mult(mult(a, c), mult(a, mult(a, b))))) | (~(mult(mult(mult(a, c), a), mult(a, b)) = mult(mult(a, c), mult(mult(a, b), a)))))) | (~((~(mult(mult(mult(a, c), a), mult(a, b)) = mult(mult(a, c), mult(a, mult(a, b))))) | (~(mult(mult(mult(a, c), mult(a, b)), a) = mult(mult(a, c), mult(mult(a, b), a))))))) <=> ((~((~(mult(mult(mult(a, c), a), mult(a, b)) = mult(mult(a, c), mult(a, mult(a, b))))) | (~(mult(mult(mult(a, c), mult(a, b)), a) = mult(mult(a, c), mult(mult(a, b), a)))))) | (~((~(mult(mult(mult(a, c), mult(a, b)), a) = mult(mult(a, c), mult(a, mult(a, b))))) | (~(mult(mult(mult(a, c), a), mult(a, b)) = mult(mult(a, c), mult(mult(a, b), a)))))))),
% 4.26/4.44 inference(rewrite,[status(thm)],[])).
% 4.26/4.44 tff(1551,plain,
% 4.26/4.44 ((~((~(mult(mult(mult(a, c), mult(a, b)), a) = mult(mult(a, c), mult(mult(a, b), a)))) | (~(mult(mult(mult(a, c), a), mult(a, b)) = mult(mult(a, c), mult(a, mult(a, b))))))) <=> (~((~(mult(mult(mult(a, c), a), mult(a, b)) = mult(mult(a, c), mult(a, mult(a, b))))) | (~(mult(mult(mult(a, c), mult(a, b)), a) = mult(mult(a, c), mult(mult(a, b), a))))))),
% 4.26/4.44 inference(rewrite,[status(thm)],[])).
% 4.26/4.44 tff(1552,plain,
% 4.26/4.44 ((~((~(mult(mult(mult(a, c), mult(a, b)), a) = mult(mult(a, c), mult(a, mult(a, b))))) | (~(mult(mult(mult(a, c), a), mult(a, b)) = mult(mult(a, c), mult(mult(a, b), a)))))) <=> (~((~(mult(mult(mult(a, c), mult(a, b)), a) = mult(mult(a, c), mult(a, mult(a, b))))) | (~(mult(mult(mult(a, c), a), mult(a, b)) = mult(mult(a, c), mult(mult(a, b), a))))))),
% 4.26/4.44 inference(rewrite,[status(thm)],[])).
% 4.26/4.44 tff(1553,plain,
% 4.26/4.44 (((~((~(mult(mult(mult(a, c), mult(a, b)), a) = mult(mult(a, c), mult(a, mult(a, b))))) | (~(mult(mult(mult(a, c), a), mult(a, b)) = mult(mult(a, c), mult(mult(a, b), a)))))) | (~((~(mult(mult(mult(a, c), mult(a, b)), a) = mult(mult(a, c), mult(mult(a, b), a)))) | (~(mult(mult(mult(a, c), a), mult(a, b)) = mult(mult(a, c), mult(a, mult(a, b)))))))) <=> ((~((~(mult(mult(mult(a, c), mult(a, b)), a) = mult(mult(a, c), mult(a, mult(a, b))))) | (~(mult(mult(mult(a, c), a), mult(a, b)) = mult(mult(a, c), mult(mult(a, b), a)))))) | (~((~(mult(mult(mult(a, c), a), mult(a, b)) = mult(mult(a, c), mult(a, mult(a, b))))) | (~(mult(mult(mult(a, c), mult(a, b)), a) = mult(mult(a, c), mult(mult(a, b), a)))))))),
% 4.26/4.44 inference(monotonicity,[status(thm)],[1552, 1551])).
% 4.26/4.44 tff(1554,plain,
% 4.26/4.44 (((~((~(mult(mult(mult(a, c), mult(a, b)), a) = mult(mult(a, c), mult(a, mult(a, b))))) | (~(mult(mult(mult(a, c), a), mult(a, b)) = mult(mult(a, c), mult(mult(a, b), a)))))) | (~((~(mult(mult(mult(a, c), mult(a, b)), a) = mult(mult(a, c), mult(mult(a, b), a)))) | (~(mult(mult(mult(a, c), a), mult(a, b)) = mult(mult(a, c), mult(a, mult(a, b)))))))) <=> ((~((~(mult(mult(mult(a, c), a), mult(a, b)) = mult(mult(a, c), mult(a, mult(a, b))))) | (~(mult(mult(mult(a, c), mult(a, b)), a) = mult(mult(a, c), mult(mult(a, b), a)))))) | (~((~(mult(mult(mult(a, c), mult(a, b)), a) = mult(mult(a, c), mult(a, mult(a, b))))) | (~(mult(mult(mult(a, c), a), mult(a, b)) = mult(mult(a, c), mult(mult(a, b), a)))))))),
% 4.26/4.44 inference(transitivity,[status(thm)],[1553, 1550])).
% 4.26/4.44 tff(1555,plain,
% 4.26/4.44 (((~![X0: $i, X1: $i, X2: $i] : ((~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X2, X1)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X1, X2)))))) | (~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X1, X2)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X2, X1)))))))) | ((~((~(mult(mult(mult(a, c), mult(a, b)), a) = mult(mult(a, c), mult(a, mult(a, b))))) | (~(mult(mult(mult(a, c), a), mult(a, b)) = mult(mult(a, c), mult(mult(a, b), a)))))) | (~((~(mult(mult(mult(a, c), mult(a, b)), a) = mult(mult(a, c), mult(mult(a, b), a)))) | (~(mult(mult(mult(a, c), a), mult(a, b)) = mult(mult(a, c), mult(a, mult(a, b))))))))) <=> ((~![X0: $i, X1: $i, X2: $i] : ((~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X2, X1)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X1, X2)))))) | (~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X1, X2)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X2, X1)))))))) | ((~((~(mult(mult(mult(a, c), a), mult(a, b)) = mult(mult(a, c), mult(a, mult(a, b))))) | (~(mult(mult(mult(a, c), mult(a, b)), a) = mult(mult(a, c), mult(mult(a, b), a)))))) | (~((~(mult(mult(mult(a, c), mult(a, b)), a) = mult(mult(a, c), mult(a, mult(a, b))))) | (~(mult(mult(mult(a, c), a), mult(a, b)) = mult(mult(a, c), mult(mult(a, b), a))))))))),
% 4.26/4.44 inference(monotonicity,[status(thm)],[1554])).
% 4.26/4.44 tff(1556,plain,
% 4.26/4.44 (((~![X0: $i, X1: $i, X2: $i] : ((~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X2, X1)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X1, X2)))))) | (~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X1, X2)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X2, X1)))))))) | ((~((~(mult(mult(mult(a, c), mult(a, b)), a) = mult(mult(a, c), mult(a, mult(a, b))))) | (~(mult(mult(mult(a, c), a), mult(a, b)) = mult(mult(a, c), mult(mult(a, b), a)))))) | (~((~(mult(mult(mult(a, c), mult(a, b)), a) = mult(mult(a, c), mult(mult(a, b), a)))) | (~(mult(mult(mult(a, c), a), mult(a, b)) = mult(mult(a, c), mult(a, mult(a, b))))))))) <=> ((~![X0: $i, X1: $i, X2: $i] : ((~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X2, X1)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X1, X2)))))) | (~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X1, X2)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X2, X1)))))))) | (~((~(mult(mult(mult(a, c), a), mult(a, b)) = mult(mult(a, c), mult(a, mult(a, b))))) | (~(mult(mult(mult(a, c), mult(a, b)), a) = mult(mult(a, c), mult(mult(a, b), a)))))) | (~((~(mult(mult(mult(a, c), mult(a, b)), a) = mult(mult(a, c), mult(a, mult(a, b))))) | (~(mult(mult(mult(a, c), a), mult(a, b)) = mult(mult(a, c), mult(mult(a, b), a)))))))),
% 4.26/4.44 inference(transitivity,[status(thm)],[1555, 1549])).
% 4.26/4.44 tff(1557,plain,
% 4.26/4.44 ((~![X0: $i, X1: $i, X2: $i] : ((~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X2, X1)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X1, X2)))))) | (~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X1, X2)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X2, X1)))))))) | ((~((~(mult(mult(mult(a, c), mult(a, b)), a) = mult(mult(a, c), mult(a, mult(a, b))))) | (~(mult(mult(mult(a, c), a), mult(a, b)) = mult(mult(a, c), mult(mult(a, b), a)))))) | (~((~(mult(mult(mult(a, c), mult(a, b)), a) = mult(mult(a, c), mult(mult(a, b), a)))) | (~(mult(mult(mult(a, c), a), mult(a, b)) = mult(mult(a, c), mult(a, mult(a, b))))))))),
% 4.26/4.45 inference(quant_inst,[status(thm)],[])).
% 4.26/4.45 tff(1558,plain,
% 4.26/4.45 ((~![X0: $i, X1: $i, X2: $i] : ((~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X2, X1)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X1, X2)))))) | (~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X1, X2)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X2, X1)))))))) | (~((~(mult(mult(mult(a, c), a), mult(a, b)) = mult(mult(a, c), mult(a, mult(a, b))))) | (~(mult(mult(mult(a, c), mult(a, b)), a) = mult(mult(a, c), mult(mult(a, b), a)))))) | (~((~(mult(mult(mult(a, c), mult(a, b)), a) = mult(mult(a, c), mult(a, mult(a, b))))) | (~(mult(mult(mult(a, c), a), mult(a, b)) = mult(mult(a, c), mult(mult(a, b), a))))))),
% 4.26/4.45 inference(modus_ponens,[status(thm)],[1557, 1556])).
% 4.26/4.45 tff(1559,plain,
% 4.26/4.45 (~((~(mult(mult(mult(a, c), mult(a, b)), a) = mult(mult(a, c), mult(a, mult(a, b))))) | (~(mult(mult(mult(a, c), a), mult(a, b)) = mult(mult(a, c), mult(mult(a, b), a)))))),
% 4.26/4.45 inference(unit_resolution,[status(thm)],[1558, 30, 1548])).
% 4.26/4.45 tff(1560,plain,
% 4.26/4.45 (((~(mult(mult(mult(a, c), mult(a, b)), a) = mult(mult(a, c), mult(a, mult(a, b))))) | (~(mult(mult(mult(a, c), a), mult(a, b)) = mult(mult(a, c), mult(mult(a, b), a))))) | (mult(mult(mult(a, c), mult(a, b)), a) = mult(mult(a, c), mult(a, mult(a, b))))),
% 4.26/4.45 inference(tautology,[status(thm)],[])).
% 4.26/4.45 tff(1561,plain,
% 4.26/4.45 (mult(mult(mult(a, c), mult(a, b)), a) = mult(mult(a, c), mult(a, mult(a, b)))),
% 4.26/4.45 inference(unit_resolution,[status(thm)],[1560, 1559])).
% 4.26/4.45 tff(1562,plain,
% 4.26/4.45 (mult(mult(mult(a, c), mult(a, b)), a) = mult(mult(a, c), mult(mult(a, b), a))),
% 4.26/4.45 inference(transitivity,[status(thm)],[1561, 1545])).
% 4.26/4.45 tff(1563,plain,
% 4.26/4.45 ($false),
% 4.26/4.45 inference(unit_resolution,[status(thm)],[1546, 1562])).
% 4.26/4.45 tff(1564,plain,((~(mult(mult(a, b), a) = mult(a, mult(a, b)))) | (mult(mult(mult(a, c), mult(a, b)), a) = mult(mult(a, c), mult(mult(a, b), a)))), inference(lemma,lemma(discharge,[]))).
% 4.26/4.45 tff(1565,plain,
% 4.26/4.45 (~(mult(mult(a, b), a) = mult(a, mult(a, b)))),
% 4.26/4.45 inference(unit_resolution,[status(thm)],[1564, 1543])).
% 4.26/4.45 tff(1566,plain,
% 4.26/4.45 ((~(mult(mult(a, a), b) = mult(a, mult(b, a)))) | (~(mult(mult(a, b), a) = mult(a, mult(a, b))))),
% 4.26/4.45 inference(unit_resolution,[status(thm)],[246, 1565])).
% 4.26/4.45 tff(1567,plain,
% 4.26/4.45 (~((~(mult(mult(a, a), b) = mult(a, mult(a, b)))) | (~(mult(mult(a, b), a) = mult(a, mult(b, a)))))),
% 4.26/4.45 inference(unit_resolution,[status(thm)],[244, 1566])).
% 4.26/4.45 tff(1568,plain,
% 4.26/4.45 (mult(mult(a, b), a) = mult(a, mult(b, a))),
% 4.26/4.45 inference(unit_resolution,[status(thm)],[232, 1567])).
% 4.26/4.45 tff(1569,assumption,(~(mult(mult(a, a), mult(c, b)) = mult(a, mult(a, mult(c, b))))), introduced(assumption)).
% 4.26/4.45 tff(1570,plain,
% 4.26/4.45 ((~(mult(mult(a, a), mult(c, b)) = mult(a, mult(a, mult(c, b))))) | (~(mult(mult(a, mult(c, b)), a) = mult(a, mult(mult(c, b), a))))),
% 4.26/4.45 inference(unit_resolution,[status(thm)],[1167, 1569])).
% 4.26/4.45 tff(1571,plain,
% 4.26/4.45 (~((~(mult(mult(a, a), mult(c, b)) = mult(a, mult(mult(c, b), a)))) | (~(mult(mult(a, mult(c, b)), a) = mult(a, mult(a, mult(c, b))))))),
% 4.26/4.45 inference(unit_resolution,[status(thm)],[1050, 1570])).
% 4.26/4.45 tff(1572,plain,
% 4.26/4.45 (mult(mult(a, mult(c, b)), a) = mult(a, mult(a, mult(c, b)))),
% 4.26/4.45 inference(unit_resolution,[status(thm)],[88, 1571])).
% 4.26/4.45 tff(1573,plain,
% 4.26/4.45 (mult(a, mult(a, mult(c, b))) = mult(mult(a, mult(c, b)), a)),
% 4.26/4.45 inference(symmetry,[status(thm)],[1572])).
% 4.26/4.45 tff(1574,plain,
% 4.26/4.45 (mult(mult(a, a), mult(c, b)) = mult(a, mult(mult(c, b), a))),
% 4.26/4.45 inference(unit_resolution,[status(thm)],[319, 1571])).
% 4.26/4.45 tff(1575,plain,
% 4.26/4.45 ((mult(mult(a, a), mult(c, b)) = mult(a, mult(a, mult(c, b)))) <=> (mult(a, mult(mult(c, b), a)) = mult(mult(a, mult(c, b)), a))),
% 4.26/4.45 inference(monotonicity,[status(thm)],[1574, 1573])).
% 4.26/4.45 tff(1576,plain,
% 4.26/4.45 ((mult(mult(a, a), mult(c, b)) = mult(a, mult(a, mult(c, b)))) <=> (mult(mult(a, mult(c, b)), a) = mult(a, mult(mult(c, b), a)))),
% 4.26/4.45 inference(transitivity,[status(thm)],[1575, 445])).
% 4.26/4.45 tff(1577,plain,
% 4.26/4.45 ((mult(mult(a, mult(c, b)), a) = mult(a, mult(mult(c, b), a))) <=> (mult(mult(a, a), mult(c, b)) = mult(a, mult(a, mult(c, b))))),
% 4.26/4.45 inference(symmetry,[status(thm)],[1576])).
% 4.26/4.45 tff(1578,plain,
% 4.26/4.45 (mult(mult(a, a), mult(c, b)) = mult(a, mult(a, mult(c, b)))),
% 4.26/4.45 inference(modus_ponens,[status(thm)],[707, 1577])).
% 4.26/4.45 tff(1579,plain,
% 4.26/4.45 ($false),
% 4.26/4.45 inference(unit_resolution,[status(thm)],[1569, 1578])).
% 4.26/4.45 tff(1580,plain,((mult(mult(a, a), mult(c, b)) = mult(a, mult(a, mult(c, b)))) | (~(mult(mult(a, mult(c, b)), a) = mult(a, mult(mult(c, b), a))))), inference(lemma,lemma(discharge,[]))).
% 4.26/4.45 tff(1581,plain,
% 4.26/4.45 (mult(mult(a, a), mult(c, b)) = mult(a, mult(a, mult(c, b)))),
% 4.26/4.45 inference(unit_resolution,[status(thm)],[1580, 707])).
% 4.26/4.45 tff(1582,plain,
% 4.26/4.45 (mult(b, mult(a, c)) = mult(mult(b, a), c)),
% 4.26/4.45 inference(symmetry,[status(thm)],[118])).
% 4.26/4.45 tff(1583,plain,
% 4.26/4.45 (mult(a, mult(mult(c, b), a)) = mult(a, mult(c, mult(b, a)))),
% 4.26/4.45 inference(symmetry,[status(thm)],[1063])).
% 4.26/4.45 tff(1584,plain,
% 4.26/4.45 ((~![B: $i, A: $i] : (ld(A, mult(A, B)) = B)) | (ld(c, mult(c, mult(b, a))) = mult(b, a))),
% 4.26/4.45 inference(quant_inst,[status(thm)],[])).
% 4.26/4.45 tff(1585,plain,
% 4.26/4.45 (ld(c, mult(c, mult(b, a))) = mult(b, a)),
% 4.26/4.45 inference(unit_resolution,[status(thm)],[1584, 9])).
% 4.26/4.45 tff(1586,plain,
% 4.26/4.45 (mult(mult(c, a), b) = mult(c, mult(b, a))),
% 4.26/4.45 inference(unit_resolution,[status(thm)],[719, 370, 707, 106])).
% 4.26/4.45 tff(1587,plain,
% 4.26/4.45 (mult(a, mult(mult(c, b), a)) = mult(a, mult(mult(c, a), b))),
% 4.26/4.45 inference(transitivity,[status(thm)],[708, 260, 370, 679])).
% 4.26/4.45 tff(1588,plain,
% 4.26/4.45 (ld(a, mult(a, mult(mult(c, b), a))) = ld(a, mult(a, mult(mult(c, a), b)))),
% 4.26/4.45 inference(monotonicity,[status(thm)],[1587])).
% 4.26/4.45 tff(1589,plain,
% 4.26/4.45 (mult(mult(c, b), a) = mult(mult(c, a), b)),
% 4.26/4.45 inference(transitivity,[status(thm)],[713, 1588, 209])).
% 4.26/4.45 tff(1590,plain,
% 4.26/4.45 ((mult(mult(c, b), a) = mult(c, mult(a, b))) <=> (mult(mult(c, a), b) = mult(c, mult(a, b)))),
% 4.26/4.45 inference(monotonicity,[status(thm)],[1589])).
% 4.26/4.45 tff(1591,plain,
% 4.26/4.45 ((mult(mult(c, a), b) = mult(c, mult(a, b))) <=> (mult(mult(c, b), a) = mult(c, mult(a, b)))),
% 4.26/4.45 inference(symmetry,[status(thm)],[1590])).
% 4.26/4.45 tff(1592,plain,
% 4.26/4.45 ((mult(mult(c, b), a) = mult(c, mult(a, b))) <=> (mult(mult(c, a), b) = mult(c, mult(a, b)))),
% 4.26/4.45 inference(monotonicity,[status(thm)],[714])).
% 4.26/4.45 tff(1593,plain,
% 4.26/4.45 ((~(mult(mult(c, b), a) = mult(c, mult(b, a)))) | (~(mult(mult(c, a), b) = mult(c, mult(a, b))))),
% 4.26/4.45 inference(unit_resolution,[status(thm)],[296, 570])).
% 4.26/4.45 tff(1594,plain,
% 4.26/4.45 (~((~(mult(mult(c, b), a) = mult(c, mult(a, b)))) | (~(mult(mult(c, a), b) = mult(c, mult(b, a)))))),
% 4.26/4.45 inference(unit_resolution,[status(thm)],[301, 1593])).
% 4.26/4.45 tff(1595,plain,
% 4.26/4.45 (mult(mult(c, b), a) = mult(c, mult(a, b))),
% 4.26/4.45 inference(unit_resolution,[status(thm)],[546, 1594])).
% 4.26/4.45 tff(1596,plain,
% 4.26/4.45 (mult(mult(c, a), b) = mult(c, mult(a, b))),
% 4.26/4.45 inference(modus_ponens,[status(thm)],[1595, 1592])).
% 4.26/4.45 tff(1597,plain,
% 4.26/4.45 ($false),
% 4.26/4.45 inference(unit_resolution,[status(thm)],[570, 1596])).
% 4.26/4.45 tff(1598,plain,((mult(mult(c, a), b) = mult(c, mult(a, b))) | (~(mult(mult(a, mult(c, b)), a) = mult(a, mult(mult(c, b), a)))) | (~(mult(mult(mult(a, b), c), a) = mult(mult(a, b), mult(c, a)))) | (~(mult(mult(a, b), c) = mult(a, mult(c, b))))), inference(lemma,lemma(discharge,[]))).
% 4.26/4.45 tff(1599,plain,
% 4.26/4.45 (mult(mult(c, a), b) = mult(c, mult(a, b))),
% 4.26/4.45 inference(unit_resolution,[status(thm)],[1598, 370, 707, 106])).
% 4.26/4.45 tff(1600,plain,
% 4.26/4.45 (mult(mult(c, b), a) = mult(c, mult(a, b))),
% 4.26/4.45 inference(modus_ponens,[status(thm)],[1599, 1591])).
% 4.26/4.45 tff(1601,plain,
% 4.26/4.45 (mult(c, mult(a, b)) = mult(mult(c, b), a)),
% 4.26/4.45 inference(symmetry,[status(thm)],[1600])).
% 4.26/4.45 tff(1602,plain,
% 4.26/4.45 (mult(c, mult(a, b)) = mult(c, mult(b, a))),
% 4.26/4.45 inference(transitivity,[status(thm)],[1601, 713, 1588, 209, 1586])).
% 4.26/4.45 tff(1603,plain,
% 4.26/4.45 (ld(c, mult(c, mult(a, b))) = ld(c, mult(c, mult(b, a)))),
% 4.26/4.45 inference(monotonicity,[status(thm)],[1602])).
% 4.26/4.45 tff(1604,plain,
% 4.26/4.45 (mult(a, b) = ld(c, mult(c, mult(a, b)))),
% 4.26/4.45 inference(symmetry,[status(thm)],[13])).
% 4.26/4.45 tff(1605,plain,
% 4.26/4.45 (mult(a, b) = mult(b, a)),
% 4.26/4.45 inference(transitivity,[status(thm)],[1604, 1603, 1585])).
% 4.26/4.45 tff(1606,plain,
% 4.26/4.45 (mult(mult(a, c), mult(a, b)) = mult(mult(a, c), mult(b, a))),
% 4.26/4.45 inference(monotonicity,[status(thm)],[1605])).
% 4.26/4.45 tff(1607,plain,
% 4.26/4.45 (mult(mult(mult(a, c), b), a) = mult(mult(a, c), mult(b, a))),
% 4.26/4.45 inference(transitivity,[status(thm)],[971, 1606])).
% 4.26/4.45 tff(1608,plain,
% 4.26/4.45 ($false),
% 4.26/4.45 inference(unit_resolution,[status(thm)],[614, 1607])).
% 4.26/4.45 tff(1609,plain,((~(mult(mult(mult(a, b), c), a) = mult(mult(a, b), mult(c, a)))) | (mult(mult(mult(a, c), b), a) = mult(mult(a, c), mult(b, a))) | (~(mult(mult(a, mult(c, b)), a) = mult(a, mult(mult(c, b), a)))) | (~(mult(mult(a, b), c) = mult(a, mult(c, b))))), inference(lemma,lemma(discharge,[]))).
% 4.26/4.45 tff(1610,plain,
% 4.26/4.45 (~(mult(mult(mult(a, b), c), a) = mult(mult(a, b), mult(c, a)))),
% 4.26/4.45 inference(unit_resolution,[status(thm)],[1609, 614, 707, 106])).
% 4.26/4.45 tff(1611,plain,
% 4.26/4.45 ((~(mult(mult(mult(a, b), a), c) = mult(mult(a, b), mult(a, c)))) | (~(mult(mult(mult(a, b), c), a) = mult(mult(a, b), mult(c, a))))),
% 4.26/4.45 inference(unit_resolution,[status(thm)],[185, 1610])).
% 4.26/4.45 tff(1612,plain,
% 4.26/4.45 (~((~(mult(mult(mult(a, b), a), c) = mult(mult(a, b), mult(c, a)))) | (~(mult(mult(mult(a, b), c), a) = mult(mult(a, b), mult(a, c)))))),
% 4.26/4.45 inference(unit_resolution,[status(thm)],[183, 1611])).
% 4.26/4.45 tff(1613,plain,
% 4.26/4.45 (mult(mult(mult(a, b), c), a) = mult(mult(a, b), mult(a, c))),
% 4.26/4.45 inference(unit_resolution,[status(thm)],[178, 1612])).
% 4.26/4.45 tff(1614,plain,
% 4.26/4.45 (mult(mult(a, b), mult(a, c)) = mult(mult(mult(a, b), c), a)),
% 4.26/4.45 inference(symmetry,[status(thm)],[1613])).
% 4.26/4.45 tff(1615,plain,
% 4.26/4.45 (~(mult(mult(a, b), mult(a, c)) = mult(a, mult(b, mult(a, c))))),
% 4.26/4.45 inference(unit_resolution,[status(thm)],[1069, 119, 118, 106, 707, 1613, 533])).
% 4.26/4.45 tff(1616,plain,
% 4.26/4.45 ((~(mult(mult(a, mult(a, c)), b) = mult(a, mult(mult(a, c), b)))) | (~(mult(mult(a, b), mult(a, c)) = mult(a, mult(b, mult(a, c)))))),
% 4.26/4.45 inference(unit_resolution,[status(thm)],[145, 1615])).
% 4.26/4.45 tff(1617,plain,
% 4.26/4.45 (~((~(mult(mult(a, mult(a, c)), b) = mult(a, mult(b, mult(a, c))))) | (~(mult(mult(a, b), mult(a, c)) = mult(a, mult(mult(a, c), b)))))),
% 4.26/4.45 inference(unit_resolution,[status(thm)],[143, 1616])).
% 4.26/4.45 tff(1618,plain,
% 4.26/4.45 (mult(mult(a, b), mult(a, c)) = mult(a, mult(mult(a, c), b))),
% 4.26/4.45 inference(unit_resolution,[status(thm)],[138, 1617])).
% 4.26/4.45 tff(1619,plain,
% 4.26/4.45 (mult(a, mult(mult(a, c), b)) = mult(mult(a, b), mult(a, c))),
% 4.26/4.45 inference(symmetry,[status(thm)],[1618])).
% 4.26/4.45 tff(1620,plain,
% 4.26/4.45 (mult(a, mult(a, mult(b, c))) = mult(a, mult(mult(a, c), b))),
% 4.26/4.45 inference(monotonicity,[status(thm)],[214])).
% 4.26/4.45 tff(1621,plain,
% 4.26/4.45 (~(mult(mult(a, mult(b, c)), a) = mult(a, mult(a, mult(b, c))))),
% 4.26/4.45 inference(unit_resolution,[status(thm)],[176, 1618, 117, 1613, 115])).
% 4.26/4.45 tff(1622,plain,
% 4.26/4.45 ((~(mult(mult(a, mult(b, c)), a) = mult(a, mult(a, mult(b, c))))) | (~(mult(mult(a, a), mult(b, c)) = mult(a, mult(mult(b, c), a))))),
% 4.26/4.45 inference(unit_resolution,[status(thm)],[786, 1621])).
% 4.26/4.45 tff(1623,plain,
% 4.26/4.45 (~((~(mult(mult(a, mult(b, c)), a) = mult(a, mult(mult(b, c), a)))) | (~(mult(mult(a, a), mult(b, c)) = mult(a, mult(a, mult(b, c))))))),
% 4.26/4.45 inference(unit_resolution,[status(thm)],[658, 1622])).
% 4.26/4.45 tff(1624,plain,
% 4.26/4.45 (mult(mult(a, a), mult(b, c)) = mult(a, mult(a, mult(b, c)))),
% 4.26/4.45 inference(unit_resolution,[status(thm)],[1145, 1623])).
% 4.26/4.45 tff(1625,plain,
% 4.26/4.45 (mult(mult(a, a), mult(b, c)) = mult(a, mult(c, mult(b, a)))),
% 4.26/4.45 inference(transitivity,[status(thm)],[1624, 1620, 1619, 1614, 261, 707, 1583])).
% 4.26/4.45 tff(1626,plain,
% 4.26/4.45 (mult(a, mult(mult(b, a), c)) = mult(mult(a, c), mult(b, a))),
% 4.26/4.45 inference(symmetry,[status(thm)],[135])).
% 4.26/4.45 tff(1627,plain,
% 4.26/4.45 (mult(a, mult(b, mult(a, c))) = mult(a, mult(mult(b, a), c))),
% 4.26/4.45 inference(monotonicity,[status(thm)],[1582])).
% 4.26/4.45 tff(1628,plain,
% 4.26/4.45 (mult(mult(a, mult(a, c)), b) = mult(a, mult(b, mult(a, c)))),
% 4.26/4.45 inference(unit_resolution,[status(thm)],[836, 1617])).
% 4.26/4.45 tff(1629,plain,
% 4.26/4.45 ((~![B: $i, A: $i] : (rd(mult(A, B), B) = A)) | (rd(mult(mult(a, mult(a, c)), a), a) = mult(a, mult(a, c)))),
% 4.26/4.45 inference(quant_inst,[status(thm)],[])).
% 4.26/4.45 tff(1630,plain,
% 4.26/4.45 (rd(mult(mult(a, mult(a, c)), a), a) = mult(a, mult(a, c))),
% 4.26/4.45 inference(unit_resolution,[status(thm)],[1629, 72])).
% 4.26/4.45 tff(1631,plain,
% 4.26/4.45 (mult(a, mult(b, mult(a, c))) = mult(mult(a, mult(a, c)), b)),
% 4.26/4.45 inference(symmetry,[status(thm)],[1220])).
% 4.26/4.45 tff(1632,plain,
% 4.26/4.45 (mult(a, mult(mult(b, a), c)) = mult(a, mult(b, mult(a, c)))),
% 4.26/4.45 inference(symmetry,[status(thm)],[1627])).
% 4.26/4.45 tff(1633,plain,
% 4.26/4.45 (mult(mult(mult(a, c), a), b) = mult(mult(a, mult(a, c)), b)),
% 4.26/4.45 inference(transitivity,[status(thm)],[1362, 160, 1632, 1631])).
% 4.26/4.45 tff(1634,plain,
% 4.26/4.45 (rd(mult(mult(mult(a, c), a), b), b) = rd(mult(mult(a, mult(a, c)), b), b)),
% 4.26/4.45 inference(monotonicity,[status(thm)],[1633])).
% 4.26/4.45 tff(1635,plain,
% 4.26/4.45 ((~![B: $i, A: $i] : (rd(mult(A, B), B) = A)) | (rd(mult(mult(mult(a, c), a), b), b) = mult(mult(a, c), a))),
% 4.26/4.45 inference(quant_inst,[status(thm)],[])).
% 4.26/4.45 tff(1636,plain,
% 4.26/4.45 (rd(mult(mult(mult(a, c), a), b), b) = mult(mult(a, c), a)),
% 4.26/4.45 inference(unit_resolution,[status(thm)],[1635, 72])).
% 4.26/4.45 tff(1637,plain,
% 4.26/4.45 (mult(mult(a, c), a) = rd(mult(mult(mult(a, c), a), b), b)),
% 4.26/4.45 inference(symmetry,[status(thm)],[1636])).
% 4.26/4.45 tff(1638,plain,
% 4.26/4.45 (mult(mult(a, c), a) = mult(a, mult(a, c))),
% 4.26/4.45 inference(transitivity,[status(thm)],[1637, 1634, 908])).
% 4.26/4.45 tff(1639,plain,
% 4.26/4.45 (mult(a, mult(mult(a, c), a)) = mult(a, mult(a, mult(a, c)))),
% 4.26/4.45 inference(monotonicity,[status(thm)],[1638])).
% 4.26/4.45 tff(1640,plain,
% 4.26/4.45 ((mult(mult(a, mult(a, c)), a) = mult(a, mult(mult(a, c), a))) <=> (mult(mult(a, mult(a, c)), a) = mult(a, mult(a, mult(a, c))))),
% 4.26/4.45 inference(monotonicity,[status(thm)],[1639])).
% 4.26/4.45 tff(1641,plain,
% 4.26/4.45 ((~(mult(mult(a, mult(a, c)), a) = mult(a, mult(mult(a, c), a)))) <=> (~(mult(mult(a, mult(a, c)), a) = mult(a, mult(a, mult(a, c)))))),
% 4.26/4.45 inference(monotonicity,[status(thm)],[1640])).
% 4.26/4.45 tff(1642,assumption,(~(mult(mult(a, mult(a, c)), a) = mult(a, mult(mult(a, c), a)))), introduced(assumption)).
% 4.26/4.45 tff(1643,plain,
% 4.26/4.45 (~(mult(mult(a, mult(a, c)), a) = mult(a, mult(a, mult(a, c))))),
% 4.26/4.45 inference(modus_ponens,[status(thm)],[1642, 1641])).
% 4.26/4.45 tff(1644,plain,
% 4.26/4.45 (((~(mult(mult(a, a), mult(a, c)) = mult(a, mult(a, mult(a, c))))) | (~(mult(mult(a, mult(a, c)), a) = mult(a, mult(mult(a, c), a))))) | (mult(mult(a, mult(a, c)), a) = mult(a, mult(mult(a, c), a)))),
% 4.26/4.45 inference(tautology,[status(thm)],[])).
% 4.26/4.45 tff(1645,plain,
% 4.26/4.45 ((~(mult(mult(a, a), mult(a, c)) = mult(a, mult(a, mult(a, c))))) | (~(mult(mult(a, mult(a, c)), a) = mult(a, mult(mult(a, c), a))))),
% 4.26/4.45 inference(unit_resolution,[status(thm)],[1644, 1642])).
% 4.26/4.45 tff(1646,plain,
% 4.26/4.45 (((~![X0: $i, X1: $i, X2: $i] : ((~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X2, X1)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X1, X2)))))) | (~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X1, X2)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X2, X1)))))))) | ((~((~(mult(mult(a, a), mult(a, c)) = mult(a, mult(mult(a, c), a)))) | (~(mult(mult(a, mult(a, c)), a) = mult(a, mult(a, mult(a, c))))))) | (~((~(mult(mult(a, a), mult(a, c)) = mult(a, mult(a, mult(a, c))))) | (~(mult(mult(a, mult(a, c)), a) = mult(a, mult(mult(a, c), a)))))))) <=> ((~![X0: $i, X1: $i, X2: $i] : ((~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X2, X1)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X1, X2)))))) | (~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X1, X2)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X2, X1)))))))) | (~((~(mult(mult(a, a), mult(a, c)) = mult(a, mult(mult(a, c), a)))) | (~(mult(mult(a, mult(a, c)), a) = mult(a, mult(a, mult(a, c))))))) | (~((~(mult(mult(a, a), mult(a, c)) = mult(a, mult(a, mult(a, c))))) | (~(mult(mult(a, mult(a, c)), a) = mult(a, mult(mult(a, c), a)))))))),
% 4.26/4.45 inference(rewrite,[status(thm)],[])).
% 4.26/4.45 tff(1647,plain,
% 4.26/4.45 ((~![X0: $i, X1: $i, X2: $i] : ((~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X2, X1)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X1, X2)))))) | (~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X1, X2)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X2, X1)))))))) | ((~((~(mult(mult(a, a), mult(a, c)) = mult(a, mult(mult(a, c), a)))) | (~(mult(mult(a, mult(a, c)), a) = mult(a, mult(a, mult(a, c))))))) | (~((~(mult(mult(a, a), mult(a, c)) = mult(a, mult(a, mult(a, c))))) | (~(mult(mult(a, mult(a, c)), a) = mult(a, mult(mult(a, c), a)))))))),
% 4.26/4.45 inference(quant_inst,[status(thm)],[])).
% 4.26/4.45 tff(1648,plain,
% 4.26/4.46 ((~![X0: $i, X1: $i, X2: $i] : ((~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X2, X1)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X1, X2)))))) | (~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X1, X2)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X2, X1)))))))) | (~((~(mult(mult(a, a), mult(a, c)) = mult(a, mult(mult(a, c), a)))) | (~(mult(mult(a, mult(a, c)), a) = mult(a, mult(a, mult(a, c))))))) | (~((~(mult(mult(a, a), mult(a, c)) = mult(a, mult(a, mult(a, c))))) | (~(mult(mult(a, mult(a, c)), a) = mult(a, mult(mult(a, c), a))))))),
% 4.26/4.46 inference(modus_ponens,[status(thm)],[1647, 1646])).
% 4.26/4.46 tff(1649,plain,
% 4.26/4.46 ((~((~(mult(mult(a, a), mult(a, c)) = mult(a, mult(mult(a, c), a)))) | (~(mult(mult(a, mult(a, c)), a) = mult(a, mult(a, mult(a, c))))))) | (~((~(mult(mult(a, a), mult(a, c)) = mult(a, mult(a, mult(a, c))))) | (~(mult(mult(a, mult(a, c)), a) = mult(a, mult(mult(a, c), a))))))),
% 4.26/4.46 inference(unit_resolution,[status(thm)],[1648, 30])).
% 4.26/4.46 tff(1650,plain,
% 4.26/4.46 (~((~(mult(mult(a, a), mult(a, c)) = mult(a, mult(mult(a, c), a)))) | (~(mult(mult(a, mult(a, c)), a) = mult(a, mult(a, mult(a, c))))))),
% 4.26/4.46 inference(unit_resolution,[status(thm)],[1649, 1645])).
% 4.26/4.46 tff(1651,plain,
% 4.26/4.46 (((~(mult(mult(a, a), mult(a, c)) = mult(a, mult(mult(a, c), a)))) | (~(mult(mult(a, mult(a, c)), a) = mult(a, mult(a, mult(a, c)))))) | (mult(mult(a, mult(a, c)), a) = mult(a, mult(a, mult(a, c))))),
% 4.26/4.46 inference(tautology,[status(thm)],[])).
% 4.26/4.46 tff(1652,plain,
% 4.26/4.46 (mult(mult(a, mult(a, c)), a) = mult(a, mult(a, mult(a, c)))),
% 4.26/4.46 inference(unit_resolution,[status(thm)],[1651, 1650])).
% 4.26/4.46 tff(1653,plain,
% 4.26/4.46 ($false),
% 4.26/4.46 inference(unit_resolution,[status(thm)],[1652, 1643])).
% 4.26/4.46 tff(1654,plain,((mult(mult(a, mult(a, c)), a) = mult(a, mult(mult(a, c), a))) | (~(mult(mult(a, mult(a, c)), b) = mult(a, mult(b, mult(a, c))))) | (~(mult(mult(a, c), mult(b, a)) = mult(a, mult(mult(b, a), c)))) | (~(mult(mult(mult(a, c), a), b) = mult(mult(a, c), mult(b, a)))) | (~(mult(mult(b, a), c) = mult(b, mult(a, c))))), inference(lemma,lemma(discharge,[]))).
% 4.26/4.46 tff(1655,plain,
% 4.26/4.46 (mult(mult(a, mult(a, c)), a) = mult(a, mult(mult(a, c), a))),
% 4.26/4.46 inference(unit_resolution,[status(thm)],[1654, 1628, 135, 1526, 118])).
% 4.26/4.46 tff(1656,plain,
% 4.26/4.46 (mult(a, mult(mult(a, c), a)) = mult(mult(a, mult(a, c)), a)),
% 4.26/4.46 inference(symmetry,[status(thm)],[1655])).
% 4.26/4.46 tff(1657,plain,
% 4.26/4.46 ((~![C: $i, B: $i, A: $i] : (mult(mult(mult(A, B), C), B) = mult(A, mult(mult(B, C), B)))) | (mult(mult(mult(a, a), c), a) = mult(a, mult(mult(a, c), a)))),
% 4.26/4.46 inference(quant_inst,[status(thm)],[])).
% 4.26/4.46 tff(1658,plain,
% 4.26/4.46 (mult(mult(mult(a, a), c), a) = mult(a, mult(mult(a, c), a))),
% 4.26/4.46 inference(unit_resolution,[status(thm)],[1657, 860])).
% 4.26/4.46 tff(1659,plain,
% 4.26/4.46 (mult(mult(mult(a, a), c), a) = mult(mult(a, mult(a, c)), a)),
% 4.26/4.46 inference(transitivity,[status(thm)],[1658, 1656])).
% 4.26/4.46 tff(1660,plain,
% 4.26/4.46 (rd(mult(mult(mult(a, a), c), a), a) = rd(mult(mult(a, mult(a, c)), a), a)),
% 4.26/4.46 inference(monotonicity,[status(thm)],[1659])).
% 4.26/4.46 tff(1661,plain,
% 4.26/4.46 ((~![B: $i, A: $i] : (rd(mult(A, B), B) = A)) | (rd(mult(mult(mult(a, a), c), a), a) = mult(mult(a, a), c))),
% 4.26/4.46 inference(quant_inst,[status(thm)],[])).
% 4.26/4.46 tff(1662,plain,
% 4.26/4.46 (rd(mult(mult(mult(a, a), c), a), a) = mult(mult(a, a), c)),
% 4.26/4.46 inference(unit_resolution,[status(thm)],[1661, 72])).
% 4.26/4.46 tff(1663,plain,
% 4.26/4.46 (mult(mult(a, a), c) = rd(mult(mult(mult(a, a), c), a), a)),
% 4.26/4.46 inference(symmetry,[status(thm)],[1662])).
% 4.26/4.46 tff(1664,plain,
% 4.26/4.46 (mult(mult(a, a), c) = mult(a, mult(a, c))),
% 4.26/4.46 inference(transitivity,[status(thm)],[1663, 1660, 1630])).
% 4.26/4.46 tff(1665,plain,
% 4.26/4.46 (mult(mult(mult(a, a), c), b) = mult(mult(a, mult(a, c)), b)),
% 4.26/4.46 inference(monotonicity,[status(thm)],[1664])).
% 4.26/4.46 tff(1666,plain,
% 4.26/4.46 (mult(mult(mult(a, a), c), b) = mult(mult(a, c), mult(b, a))),
% 4.26/4.46 inference(transitivity,[status(thm)],[1665, 1628, 1627, 1626])).
% 4.26/4.46 tff(1667,plain,
% 4.26/4.46 ((mult(mult(mult(a, a), c), b) = mult(mult(a, a), mult(b, c))) <=> (mult(mult(a, c), mult(b, a)) = mult(a, mult(c, mult(b, a))))),
% 4.26/4.46 inference(monotonicity,[status(thm)],[1666, 1625])).
% 4.26/4.46 tff(1668,plain,
% 4.26/4.46 ((mult(mult(a, c), mult(b, a)) = mult(a, mult(c, mult(b, a)))) <=> (mult(mult(mult(a, a), c), b) = mult(mult(a, a), mult(b, c)))),
% 4.26/4.46 inference(symmetry,[status(thm)],[1667])).
% 4.26/4.46 tff(1669,plain,
% 4.26/4.46 ((~(mult(mult(a, c), mult(b, a)) = mult(a, mult(c, mult(b, a))))) <=> (~(mult(mult(mult(a, a), c), b) = mult(mult(a, a), mult(b, c))))),
% 4.26/4.46 inference(monotonicity,[status(thm)],[1668])).
% 4.26/4.46 tff(1670,plain,
% 4.26/4.46 (~(mult(mult(mult(a, a), c), b) = mult(mult(a, a), mult(b, c)))),
% 4.26/4.46 inference(modus_ponens,[status(thm)],[119, 1669])).
% 4.26/4.46 tff(1671,plain,
% 4.26/4.46 ((~(mult(mult(mult(a, a), b), c) = mult(mult(a, a), mult(c, b)))) | (~(mult(mult(mult(a, a), c), b) = mult(mult(a, a), mult(b, c))))),
% 4.26/4.46 inference(unit_resolution,[status(thm)],[1012, 1670])).
% 4.26/4.46 tff(1672,plain,
% 4.26/4.46 (~((~(mult(mult(mult(a, a), b), c) = mult(mult(a, a), mult(b, c)))) | (~(mult(mult(mult(a, a), c), b) = mult(mult(a, a), mult(c, b)))))),
% 4.26/4.46 inference(unit_resolution,[status(thm)],[338, 1671])).
% 4.26/4.46 tff(1673,plain,
% 4.26/4.46 (mult(mult(mult(a, a), c), b) = mult(mult(a, a), mult(c, b))),
% 4.26/4.46 inference(unit_resolution,[status(thm)],[1006, 1672])).
% 4.26/4.46 tff(1674,plain,
% 4.26/4.46 (mult(mult(a, mult(a, c)), b) = mult(mult(mult(a, a), c), b)),
% 4.26/4.46 inference(symmetry,[status(thm)],[1665])).
% 4.26/4.46 tff(1675,plain,
% 4.26/4.46 (mult(a, mult(b, mult(a, c))) = mult(mult(a, mult(a, c)), b)),
% 4.26/4.46 inference(symmetry,[status(thm)],[1628])).
% 4.26/4.46 tff(1676,plain,
% 4.26/4.46 (mult(a, mult(b, mult(a, c))) = mult(a, mult(mult(a, b), c))),
% 4.26/4.46 inference(transitivity,[status(thm)],[1675, 1674, 1673, 911, 259])).
% 4.26/4.46 tff(1677,plain,
% 4.26/4.46 (ld(a, mult(a, mult(b, mult(a, c)))) = ld(a, mult(a, mult(mult(a, b), c)))),
% 4.26/4.46 inference(monotonicity,[status(thm)],[1676])).
% 4.26/4.46 tff(1678,plain,
% 4.26/4.46 (ld(a, mult(a, mult(mult(a, b), c))) = ld(a, mult(a, mult(b, mult(a, c))))),
% 4.26/4.46 inference(symmetry,[status(thm)],[1677])).
% 4.26/4.46 tff(1679,plain,
% 4.26/4.46 (mult(mult(a, b), c) = mult(mult(b, a), c)),
% 4.26/4.46 inference(transitivity,[status(thm)],[561, 1678, 409, 1582])).
% 4.26/4.46 tff(1680,plain,
% 4.26/4.46 (rd(mult(mult(a, b), c), c) = rd(mult(mult(b, a), c), c)),
% 4.26/4.46 inference(monotonicity,[status(thm)],[1679])).
% 4.26/4.46 tff(1681,plain,
% 4.26/4.46 (mult(a, b) = mult(b, a)),
% 4.26/4.46 inference(transitivity,[status(thm)],[985, 1680, 414])).
% 4.26/4.46 tff(1682,plain,
% 4.26/4.46 (mult(mult(a, c), mult(a, b)) = mult(mult(a, c), mult(b, a))),
% 4.26/4.46 inference(monotonicity,[status(thm)],[1681])).
% 4.26/4.46 tff(1683,plain,
% 4.26/4.46 (mult(mult(mult(a, c), b), a) = mult(mult(a, c), mult(b, a))),
% 4.26/4.46 inference(transitivity,[status(thm)],[971, 1682])).
% 4.26/4.46 tff(1684,plain,
% 4.26/4.46 ($false),
% 4.26/4.46 inference(unit_resolution,[status(thm)],[614, 1683])).
% 4.26/4.46 tff(1685,plain,((mult(mult(a, c), mult(b, a)) = mult(a, mult(c, mult(b, a)))) | (mult(mult(mult(a, c), b), a) = mult(mult(a, c), mult(b, a))) | (~(mult(mult(b, a), c) = mult(b, mult(a, c)))) | (~(mult(mult(a, a), mult(c, b)) = mult(a, mult(a, mult(c, b))))) | (~(mult(mult(a, b), c) = mult(a, mult(c, b)))) | (~(mult(mult(a, mult(c, b)), a) = mult(a, mult(mult(c, b), a)))) | (~(mult(mult(c, b), a) = mult(c, mult(b, a)))) | (~(mult(mult(a, c), b) = mult(a, mult(b, c)))) | (mult(mult(a, b), c) = mult(a, mult(b, c)))), inference(lemma,lemma(discharge,[]))).
% 4.26/4.46 tff(1686,plain,
% 4.26/4.46 (mult(mult(a, c), mult(b, a)) = mult(a, mult(c, mult(b, a)))),
% 4.26/4.46 inference(unit_resolution,[status(thm)],[1685, 614, 118, 533, 106, 707, 1581, 117, 115])).
% 4.26/4.46 tff(1687,assumption,(~(mult(mult(mult(a, b), c), a) = mult(mult(a, b), mult(c, a)))), introduced(assumption)).
% 4.26/4.46 tff(1688,plain,
% 4.26/4.46 ((~(mult(mult(mult(a, b), a), c) = mult(mult(a, b), mult(a, c)))) | (~(mult(mult(mult(a, b), c), a) = mult(mult(a, b), mult(c, a))))),
% 4.26/4.46 inference(unit_resolution,[status(thm)],[185, 1687])).
% 4.26/4.46 tff(1689,plain,
% 4.26/4.46 (~((~(mult(mult(mult(a, b), a), c) = mult(mult(a, b), mult(c, a)))) | (~(mult(mult(mult(a, b), c), a) = mult(mult(a, b), mult(a, c)))))),
% 4.26/4.46 inference(unit_resolution,[status(thm)],[183, 1688])).
% 4.26/4.46 tff(1690,plain,
% 4.26/4.46 (((~(mult(mult(mult(a, b), a), c) = mult(mult(a, b), mult(c, a)))) | (~(mult(mult(mult(a, b), c), a) = mult(mult(a, b), mult(a, c))))) | (mult(mult(mult(a, b), a), c) = mult(mult(a, b), mult(c, a)))),
% 4.26/4.46 inference(tautology,[status(thm)],[])).
% 4.26/4.46 tff(1691,plain,
% 4.26/4.46 (mult(mult(mult(a, b), a), c) = mult(mult(a, b), mult(c, a))),
% 4.26/4.46 inference(unit_resolution,[status(thm)],[1690, 1689])).
% 4.26/4.46 tff(1692,plain,
% 4.26/4.46 (mult(mult(a, mult(b, a)), c) = mult(mult(mult(a, b), a), c)),
% 4.26/4.46 inference(symmetry,[status(thm)],[220])).
% 4.26/4.46 tff(1693,plain,
% 4.26/4.46 ((mult(mult(a, b), mult(c, a)) = mult(mult(mult(a, b), c), a)) <=> (mult(mult(mult(a, b), c), a) = mult(mult(a, b), mult(c, a)))),
% 4.26/4.46 inference(commutativity,[status(thm)],[])).
% 4.26/4.46 tff(1694,plain,
% 4.26/4.46 (mult(a, mult(mult(c, b), a)) = mult(a, mult(c, mult(b, a)))),
% 4.26/4.46 inference(monotonicity,[status(thm)],[533])).
% 4.26/4.46 tff(1695,plain,
% 4.26/4.46 (mult(a, mult(c, mult(b, a))) = mult(a, mult(mult(c, b), a))),
% 4.26/4.46 inference(symmetry,[status(thm)],[1694])).
% 4.26/4.46 tff(1696,plain,
% 4.26/4.46 (mult(a, mult(c, mult(b, a))) = mult(mult(mult(a, b), c), a)),
% 4.26/4.46 inference(transitivity,[status(thm)],[1695, 708, 108])).
% 4.26/4.46 tff(1697,plain,
% 4.26/4.46 (mult(mult(a, mult(b, a)), c) = mult(mult(a, b), mult(c, a))),
% 4.26/4.46 inference(transitivity,[status(thm)],[1692, 1691])).
% 4.26/4.46 tff(1698,plain,
% 4.26/4.46 ((mult(mult(a, mult(b, a)), c) = mult(a, mult(c, mult(b, a)))) <=> (mult(mult(a, b), mult(c, a)) = mult(mult(mult(a, b), c), a))),
% 4.26/4.46 inference(monotonicity,[status(thm)],[1697, 1696])).
% 4.26/4.46 tff(1699,plain,
% 4.26/4.46 ((mult(mult(a, mult(b, a)), c) = mult(a, mult(c, mult(b, a)))) <=> (mult(mult(mult(a, b), c), a) = mult(mult(a, b), mult(c, a)))),
% 4.26/4.46 inference(transitivity,[status(thm)],[1698, 1693])).
% 4.26/4.46 tff(1700,plain,
% 4.26/4.46 ((mult(mult(mult(a, b), c), a) = mult(mult(a, b), mult(c, a))) <=> (mult(mult(a, mult(b, a)), c) = mult(a, mult(c, mult(b, a))))),
% 4.26/4.46 inference(symmetry,[status(thm)],[1699])).
% 4.26/4.46 tff(1701,plain,
% 4.26/4.46 ((~(mult(mult(mult(a, b), c), a) = mult(mult(a, b), mult(c, a)))) <=> (~(mult(mult(a, mult(b, a)), c) = mult(a, mult(c, mult(b, a)))))),
% 4.26/4.46 inference(monotonicity,[status(thm)],[1700])).
% 4.26/4.46 tff(1702,plain,
% 4.26/4.46 (~(mult(mult(a, mult(b, a)), c) = mult(a, mult(c, mult(b, a))))),
% 4.26/4.46 inference(modus_ponens,[status(thm)],[1687, 1701])).
% 4.26/4.46 tff(1703,plain,
% 4.26/4.46 ((~(mult(mult(a, c), mult(b, a)) = mult(a, mult(mult(b, a), c)))) | (~(mult(mult(a, mult(b, a)), c) = mult(a, mult(c, mult(b, a)))))),
% 4.26/4.46 inference(unit_resolution,[status(thm)],[217, 1702])).
% 4.26/4.46 tff(1704,plain,
% 4.26/4.46 (~((~(mult(mult(a, c), mult(b, a)) = mult(a, mult(c, mult(b, a))))) | (~(mult(mult(a, mult(b, a)), c) = mult(a, mult(mult(b, a), c)))))),
% 4.26/4.46 inference(unit_resolution,[status(thm)],[132, 1703])).
% 4.26/4.46 tff(1705,plain,
% 4.26/4.46 (mult(mult(a, mult(b, a)), c) = mult(a, mult(mult(b, a), c))),
% 4.26/4.46 inference(unit_resolution,[status(thm)],[1395, 1704])).
% 4.26/4.46 tff(1706,plain,
% 4.26/4.46 (mult(a, mult(mult(b, a), c)) = mult(mult(a, mult(b, a)), c)),
% 4.26/4.46 inference(symmetry,[status(thm)],[1705])).
% 4.26/4.46 tff(1707,plain,
% 4.26/4.46 (mult(a, mult(b, mult(a, c))) = mult(mult(a, b), mult(c, a))),
% 4.26/4.46 inference(transitivity,[status(thm)],[1059, 1706, 1692, 1691])).
% 4.26/4.46 tff(1708,plain,
% 4.26/4.46 (mult(mult(mult(a, b), c), a) = mult(mult(a, b), mult(a, c))),
% 4.26/4.46 inference(unit_resolution,[status(thm)],[178, 1689])).
% 4.26/4.46 tff(1709,plain,
% 4.26/4.46 (mult(mult(a, b), mult(a, c)) = mult(mult(mult(a, b), c), a)),
% 4.26/4.46 inference(symmetry,[status(thm)],[1708])).
% 4.26/4.46 tff(1710,plain,
% 4.26/4.46 ((mult(mult(a, b), mult(a, c)) = mult(a, mult(b, mult(a, c)))) <=> (mult(mult(mult(a, b), c), a) = mult(mult(a, b), mult(c, a)))),
% 4.26/4.46 inference(monotonicity,[status(thm)],[1709, 1707])).
% 4.26/4.46 tff(1711,plain,
% 4.26/4.46 ((mult(mult(mult(a, b), c), a) = mult(mult(a, b), mult(c, a))) <=> (mult(mult(a, b), mult(a, c)) = mult(a, mult(b, mult(a, c))))),
% 4.26/4.46 inference(symmetry,[status(thm)],[1710])).
% 4.26/4.46 tff(1712,plain,
% 4.26/4.46 ((~(mult(mult(mult(a, b), c), a) = mult(mult(a, b), mult(c, a)))) <=> (~(mult(mult(a, b), mult(a, c)) = mult(a, mult(b, mult(a, c)))))),
% 4.26/4.46 inference(monotonicity,[status(thm)],[1711])).
% 4.26/4.46 tff(1713,plain,
% 4.26/4.46 (~(mult(mult(a, b), mult(a, c)) = mult(a, mult(b, mult(a, c))))),
% 4.26/4.46 inference(modus_ponens,[status(thm)],[1687, 1712])).
% 4.26/4.46 tff(1714,plain,
% 4.26/4.46 ((~(mult(mult(a, mult(a, c)), b) = mult(a, mult(mult(a, c), b)))) | (~(mult(mult(a, b), mult(a, c)) = mult(a, mult(b, mult(a, c)))))),
% 4.26/4.46 inference(unit_resolution,[status(thm)],[145, 1713])).
% 4.26/4.46 tff(1715,plain,
% 4.26/4.46 (~((~(mult(mult(a, mult(a, c)), b) = mult(a, mult(b, mult(a, c))))) | (~(mult(mult(a, b), mult(a, c)) = mult(a, mult(mult(a, c), b)))))),
% 4.26/4.46 inference(unit_resolution,[status(thm)],[143, 1714])).
% 4.26/4.46 tff(1716,plain,
% 4.26/4.46 (mult(mult(a, mult(a, c)), b) = mult(a, mult(b, mult(a, c)))),
% 4.26/4.46 inference(unit_resolution,[status(thm)],[836, 1715])).
% 4.26/4.46 tff(1717,plain,
% 4.26/4.46 (mult(a, mult(a, c)) = mult(mult(a, c), a)),
% 4.26/4.46 inference(symmetry,[status(thm)],[936])).
% 4.26/4.46 tff(1718,plain,
% 4.26/4.46 (mult(mult(a, mult(a, c)), b) = mult(mult(mult(a, c), a), b)),
% 4.26/4.46 inference(monotonicity,[status(thm)],[1717])).
% 4.26/4.46 tff(1719,plain,
% 4.26/4.46 (mult(mult(mult(a, c), a), b) = mult(mult(a, mult(a, c)), b)),
% 4.26/4.46 inference(symmetry,[status(thm)],[1718])).
% 4.26/4.46 tff(1720,plain,
% 4.26/4.46 (mult(mult(a, c), mult(b, a)) = mult(mult(mult(a, c), a), b)),
% 4.26/4.46 inference(symmetry,[status(thm)],[1362])).
% 4.26/4.46 tff(1721,plain,
% 4.26/4.46 (mult(mult(mult(a, b), c), a) = mult(mult(a, b), mult(c, a))),
% 4.26/4.46 inference(transitivity,[status(thm)],[107, 707, 1694, 527, 1720, 1719, 1716, 1059, 1706, 1692, 1691])).
% 4.26/4.46 tff(1722,plain,
% 4.26/4.46 ($false),
% 4.26/4.46 inference(unit_resolution,[status(thm)],[1687, 1721])).
% 4.26/4.46 tff(1723,plain,((~(mult(mult(a, c), a) = mult(a, mult(a, c)))) | (mult(mult(mult(a, b), c), a) = mult(mult(a, b), mult(c, a))) | (~(mult(mult(a, mult(c, b)), a) = mult(a, mult(mult(c, b), a)))) | (~(mult(mult(mult(a, c), a), b) = mult(mult(a, c), mult(b, a)))) | (~(mult(mult(a, c), mult(b, a)) = mult(a, mult(c, mult(b, a))))) | (~(mult(mult(b, a), c) = mult(b, mult(a, c)))) | (~(mult(mult(a, b), a) = mult(a, mult(b, a)))) | (~(mult(mult(c, b), a) = mult(c, mult(b, a)))) | (~(mult(mult(a, b), c) = mult(a, mult(c, b))))), inference(lemma,lemma(discharge,[]))).
% 4.26/4.46 tff(1724,plain,
% 4.26/4.46 (~(mult(mult(a, c), a) = mult(a, mult(a, c)))),
% 4.26/4.46 inference(unit_resolution,[status(thm)],[1723, 1526, 707, 1687, 1686, 118, 1568, 533, 106])).
% 4.26/4.46 tff(1725,plain,
% 4.26/4.46 (((~(mult(mult(a, a), c) = mult(a, mult(c, a)))) | (~(mult(mult(a, c), a) = mult(a, mult(a, c))))) | (mult(mult(a, c), a) = mult(a, mult(a, c)))),
% 4.26/4.46 inference(tautology,[status(thm)],[])).
% 4.26/4.46 tff(1726,plain,
% 4.26/4.46 ((~(mult(mult(a, a), c) = mult(a, mult(c, a)))) | (~(mult(mult(a, c), a) = mult(a, mult(a, c))))),
% 4.26/4.46 inference(unit_resolution,[status(thm)],[1725, 1724])).
% 4.26/4.46 tff(1727,plain,
% 4.26/4.46 (((~![X0: $i, X1: $i, X2: $i] : ((~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X2, X1)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X1, X2)))))) | (~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X1, X2)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X2, X1)))))))) | ((~((~(mult(mult(a, a), c) = mult(a, mult(c, a)))) | (~(mult(mult(a, c), a) = mult(a, mult(a, c)))))) | (~((~(mult(mult(a, a), c) = mult(a, mult(a, c)))) | (~(mult(mult(a, c), a) = mult(a, mult(c, a)))))))) <=> ((~![X0: $i, X1: $i, X2: $i] : ((~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X2, X1)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X1, X2)))))) | (~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X1, X2)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X2, X1)))))))) | (~((~(mult(mult(a, a), c) = mult(a, mult(c, a)))) | (~(mult(mult(a, c), a) = mult(a, mult(a, c)))))) | (~((~(mult(mult(a, a), c) = mult(a, mult(a, c)))) | (~(mult(mult(a, c), a) = mult(a, mult(c, a)))))))),
% 4.26/4.46 inference(rewrite,[status(thm)],[])).
% 4.26/4.46 tff(1728,plain,
% 4.26/4.46 ((~![X0: $i, X1: $i, X2: $i] : ((~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X2, X1)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X1, X2)))))) | (~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X1, X2)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X2, X1)))))))) | ((~((~(mult(mult(a, a), c) = mult(a, mult(c, a)))) | (~(mult(mult(a, c), a) = mult(a, mult(a, c)))))) | (~((~(mult(mult(a, a), c) = mult(a, mult(a, c)))) | (~(mult(mult(a, c), a) = mult(a, mult(c, a)))))))),
% 4.26/4.46 inference(quant_inst,[status(thm)],[])).
% 4.26/4.46 tff(1729,plain,
% 4.26/4.46 ((~![X0: $i, X1: $i, X2: $i] : ((~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X2, X1)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X1, X2)))))) | (~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X1, X2)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X2, X1)))))))) | (~((~(mult(mult(a, a), c) = mult(a, mult(c, a)))) | (~(mult(mult(a, c), a) = mult(a, mult(a, c)))))) | (~((~(mult(mult(a, a), c) = mult(a, mult(a, c)))) | (~(mult(mult(a, c), a) = mult(a, mult(c, a))))))),
% 4.26/4.46 inference(modus_ponens,[status(thm)],[1728, 1727])).
% 4.26/4.46 tff(1730,plain,
% 4.26/4.46 ((~((~(mult(mult(a, a), c) = mult(a, mult(c, a)))) | (~(mult(mult(a, c), a) = mult(a, mult(a, c)))))) | (~((~(mult(mult(a, a), c) = mult(a, mult(a, c)))) | (~(mult(mult(a, c), a) = mult(a, mult(c, a))))))),
% 4.26/4.46 inference(unit_resolution,[status(thm)],[1729, 30])).
% 4.26/4.46 tff(1731,plain,
% 4.26/4.46 (~((~(mult(mult(a, a), c) = mult(a, mult(a, c)))) | (~(mult(mult(a, c), a) = mult(a, mult(c, a)))))),
% 4.26/4.46 inference(unit_resolution,[status(thm)],[1730, 1726])).
% 4.26/4.46 tff(1732,plain,
% 4.26/4.46 (((~(mult(mult(a, a), c) = mult(a, mult(a, c)))) | (~(mult(mult(a, c), a) = mult(a, mult(c, a))))) | (mult(mult(a, c), a) = mult(a, mult(c, a)))),
% 4.26/4.46 inference(tautology,[status(thm)],[])).
% 4.26/4.46 tff(1733,plain,
% 4.26/4.46 (mult(mult(a, c), a) = mult(a, mult(c, a))),
% 4.26/4.46 inference(unit_resolution,[status(thm)],[1732, 1731])).
% 4.26/4.46 tff(1734,plain,
% 4.26/4.46 (mult(a, mult(c, a)) = mult(mult(a, c), a)),
% 4.26/4.46 inference(symmetry,[status(thm)],[1733])).
% 4.26/4.46 tff(1735,plain,
% 4.26/4.46 (mult(mult(a, mult(c, a)), b) = mult(mult(mult(a, c), a), b)),
% 4.26/4.46 inference(monotonicity,[status(thm)],[1734])).
% 4.26/4.46 tff(1736,assumption,(mult(mult(a, mult(c, a)), b) = mult(a, mult(b, mult(c, a)))), introduced(assumption)).
% 4.26/4.46 tff(1737,plain,
% 4.26/4.46 (mult(a, mult(b, mult(c, a))) = mult(mult(a, mult(c, a)), b)),
% 4.26/4.46 inference(symmetry,[status(thm)],[1736])).
% 4.26/4.46 tff(1738,plain,
% 4.26/4.46 (mult(a, mult(b, a)) = mult(mult(a, b), a)),
% 4.26/4.46 inference(symmetry,[status(thm)],[1568])).
% 4.26/4.46 tff(1739,plain,
% 4.26/4.46 (mult(mult(a, mult(b, a)), c) = mult(mult(mult(a, b), a), c)),
% 4.26/4.46 inference(monotonicity,[status(thm)],[1738])).
% 4.26/4.46 tff(1740,plain,
% 4.26/4.46 (mult(mult(a, mult(b, a)), c) = mult(mult(a, b), mult(c, a))),
% 4.26/4.46 inference(transitivity,[status(thm)],[1739, 1691])).
% 4.26/4.46 tff(1741,plain,
% 4.26/4.46 ((mult(mult(a, mult(b, a)), c) = mult(a, mult(c, mult(b, a)))) <=> (mult(mult(a, b), mult(c, a)) = mult(mult(mult(a, b), c), a))),
% 4.26/4.46 inference(monotonicity,[status(thm)],[1740, 1696])).
% 4.26/4.46 tff(1742,plain,
% 4.26/4.46 ((mult(mult(a, mult(b, a)), c) = mult(a, mult(c, mult(b, a)))) <=> (mult(mult(mult(a, b), c), a) = mult(mult(a, b), mult(c, a)))),
% 4.26/4.46 inference(transitivity,[status(thm)],[1741, 1693])).
% 4.26/4.46 tff(1743,plain,
% 4.26/4.46 ((mult(mult(mult(a, b), c), a) = mult(mult(a, b), mult(c, a))) <=> (mult(mult(a, mult(b, a)), c) = mult(a, mult(c, mult(b, a))))),
% 4.26/4.46 inference(symmetry,[status(thm)],[1742])).
% 4.26/4.46 tff(1744,plain,
% 4.26/4.46 ((~(mult(mult(mult(a, b), c), a) = mult(mult(a, b), mult(c, a)))) <=> (~(mult(mult(a, mult(b, a)), c) = mult(a, mult(c, mult(b, a)))))),
% 4.26/4.46 inference(monotonicity,[status(thm)],[1743])).
% 4.26/4.46 tff(1745,plain,
% 4.26/4.46 (~(mult(mult(a, mult(b, a)), c) = mult(a, mult(c, mult(b, a))))),
% 4.26/4.46 inference(modus_ponens,[status(thm)],[1687, 1744])).
% 4.26/4.46 tff(1746,plain,
% 4.26/4.46 ((~(mult(mult(a, c), mult(b, a)) = mult(a, mult(mult(b, a), c)))) | (~(mult(mult(a, mult(b, a)), c) = mult(a, mult(c, mult(b, a)))))),
% 4.26/4.46 inference(unit_resolution,[status(thm)],[217, 1745])).
% 4.26/4.46 tff(1747,plain,
% 4.26/4.46 (~((~(mult(mult(a, c), mult(b, a)) = mult(a, mult(c, mult(b, a))))) | (~(mult(mult(a, mult(b, a)), c) = mult(a, mult(mult(b, a), c)))))),
% 4.26/4.46 inference(unit_resolution,[status(thm)],[132, 1746])).
% 4.26/4.46 tff(1748,plain,
% 4.26/4.46 (mult(mult(a, mult(b, a)), c) = mult(a, mult(mult(b, a), c))),
% 4.26/4.46 inference(unit_resolution,[status(thm)],[1395, 1747])).
% 4.26/4.46 tff(1749,plain,
% 4.26/4.46 (mult(a, mult(mult(b, a), c)) = mult(mult(a, mult(b, a)), c)),
% 4.26/4.46 inference(symmetry,[status(thm)],[1748])).
% 4.26/4.46 tff(1750,plain,
% 4.26/4.46 (mult(a, mult(b, mult(a, c))) = mult(mult(a, b), mult(c, a))),
% 4.26/4.46 inference(transitivity,[status(thm)],[1627, 1749, 1739, 1691])).
% 4.26/4.46 tff(1751,plain,
% 4.26/4.46 ((mult(mult(a, b), mult(a, c)) = mult(a, mult(b, mult(a, c)))) <=> (mult(mult(mult(a, b), c), a) = mult(mult(a, b), mult(c, a)))),
% 4.26/4.46 inference(monotonicity,[status(thm)],[1709, 1750])).
% 4.26/4.46 tff(1752,plain,
% 4.26/4.46 ((mult(mult(mult(a, b), c), a) = mult(mult(a, b), mult(c, a))) <=> (mult(mult(a, b), mult(a, c)) = mult(a, mult(b, mult(a, c))))),
% 4.26/4.46 inference(symmetry,[status(thm)],[1751])).
% 4.26/4.47 tff(1753,plain,
% 4.26/4.47 ((~(mult(mult(mult(a, b), c), a) = mult(mult(a, b), mult(c, a)))) <=> (~(mult(mult(a, b), mult(a, c)) = mult(a, mult(b, mult(a, c)))))),
% 4.26/4.47 inference(monotonicity,[status(thm)],[1752])).
% 4.26/4.47 tff(1754,plain,
% 4.26/4.47 (~(mult(mult(a, b), mult(a, c)) = mult(a, mult(b, mult(a, c))))),
% 4.26/4.47 inference(modus_ponens,[status(thm)],[1687, 1753])).
% 4.26/4.47 tff(1755,plain,
% 4.26/4.47 ((~(mult(mult(a, mult(a, c)), b) = mult(a, mult(mult(a, c), b)))) | (~(mult(mult(a, b), mult(a, c)) = mult(a, mult(b, mult(a, c)))))),
% 4.26/4.47 inference(unit_resolution,[status(thm)],[145, 1754])).
% 4.26/4.47 tff(1756,plain,
% 4.26/4.47 (~((~(mult(mult(a, mult(a, c)), b) = mult(a, mult(b, mult(a, c))))) | (~(mult(mult(a, b), mult(a, c)) = mult(a, mult(mult(a, c), b)))))),
% 4.26/4.47 inference(unit_resolution,[status(thm)],[143, 1755])).
% 4.26/4.47 tff(1757,plain,
% 4.26/4.47 (mult(mult(a, b), mult(a, c)) = mult(a, mult(mult(a, c), b))),
% 4.26/4.47 inference(unit_resolution,[status(thm)],[138, 1756])).
% 4.26/4.47 tff(1758,plain,
% 4.26/4.47 (~(mult(mult(a, mult(b, c)), a) = mult(a, mult(a, mult(b, c))))),
% 4.26/4.47 inference(unit_resolution,[status(thm)],[176, 1757, 117, 1708, 115])).
% 4.26/4.47 tff(1759,plain,
% 4.26/4.47 ((~(mult(mult(a, a), mult(b, c)) = mult(a, mult(mult(b, c), a)))) | (~(mult(mult(a, mult(b, c)), a) = mult(a, mult(a, mult(b, c)))))),
% 4.26/4.47 inference(unit_resolution,[status(thm)],[95, 1758])).
% 4.26/4.47 tff(1760,plain,
% 4.26/4.47 (~((~(mult(mult(a, a), mult(b, c)) = mult(a, mult(a, mult(b, c))))) | (~(mult(mult(a, mult(b, c)), a) = mult(a, mult(mult(b, c), a)))))),
% 4.26/4.47 inference(unit_resolution,[status(thm)],[504, 1759])).
% 4.26/4.47 tff(1761,plain,
% 4.26/4.47 (mult(mult(a, mult(b, c)), a) = mult(a, mult(mult(b, c), a))),
% 4.26/4.47 inference(unit_resolution,[status(thm)],[506, 1760])).
% 4.26/4.47 tff(1762,plain,
% 4.26/4.47 (mult(mult(mult(a, c), b), a) = mult(mult(a, c), mult(b, a))),
% 4.26/4.47 inference(transitivity,[status(thm)],[152, 1761, 103, 1737, 1735, 1526])).
% 4.26/4.47 tff(1763,plain,
% 4.26/4.47 ($false),
% 4.26/4.47 inference(unit_resolution,[status(thm)],[614, 1762])).
% 4.26/4.47 tff(1764,plain,((mult(mult(mult(a, c), b), a) = mult(mult(a, c), mult(b, a))) | (~(mult(mult(a, mult(c, a)), b) = mult(a, mult(b, mult(c, a))))) | (~(mult(mult(b, c), a) = mult(b, mult(c, a)))) | (~(mult(mult(a, c), b) = mult(a, mult(b, c)))) | (~(mult(mult(a, mult(c, b)), a) = mult(a, mult(mult(c, b), a)))) | (mult(mult(mult(a, b), c), a) = mult(mult(a, b), mult(c, a))) | (~(mult(mult(b, a), c) = mult(b, mult(a, c)))) | (~(mult(mult(c, b), a) = mult(c, mult(b, a)))) | (~(mult(mult(a, b), c) = mult(a, mult(c, b)))) | (mult(mult(a, b), c) = mult(a, mult(b, c)))), inference(lemma,lemma(discharge,[]))).
% 4.26/4.47 tff(1765,plain,
% 4.26/4.47 (mult(mult(mult(a, c), b), a) = mult(mult(a, c), mult(b, a))),
% 4.26/4.47 inference(unit_resolution,[status(thm)],[1764, 97, 37, 1525, 706, 720, 99, 716, 91, 65])).
% 4.26/4.47 tff(1766,plain,
% 4.26/4.47 (mult(mult(mult(a, b), c), a) = mult(mult(mult(a, c), b), a)),
% 4.26/4.47 inference(transitivity,[status(thm)],[608, 707, 1694, 527, 153])).
% 4.26/4.47 tff(1767,plain,
% 4.26/4.47 (rd(mult(mult(mult(a, b), c), a), a) = rd(mult(mult(mult(a, c), b), a), a)),
% 4.26/4.47 inference(monotonicity,[status(thm)],[1766])).
% 4.26/4.47 tff(1768,plain,
% 4.26/4.47 (rd(mult(mult(mult(a, c), b), a), a) = rd(mult(mult(mult(a, b), c), a), a)),
% 4.26/4.47 inference(symmetry,[status(thm)],[1767])).
% 4.26/4.47 tff(1769,plain,
% 4.26/4.47 (mult(mult(a, c), b) = mult(a, mult(c, b))),
% 4.26/4.47 inference(transitivity,[status(thm)],[389, 1768, 172, 91])).
% 4.26/4.47 tff(1770,plain,
% 4.26/4.47 ($false),
% 4.26/4.47 inference(unit_resolution,[status(thm)],[41, 1769])).
% 4.26/4.47 tff(1771,plain,((~(mult(mult(a, mult(c, b)), a) = mult(a, mult(mult(c, b), a)))) | (mult(mult(a, c), b) = mult(a, mult(c, b))) | (~(mult(mult(a, c), mult(b, a)) = mult(a, mult(c, mult(b, a))))) | (~(mult(mult(mult(a, c), b), a) = mult(mult(a, c), mult(b, a)))) | (~(mult(mult(c, b), a) = mult(c, mult(b, a))))), inference(lemma,lemma(discharge,[]))).
% 4.26/4.47 tff(1772,plain,
% 4.26/4.47 (~(mult(mult(a, c), mult(b, a)) = mult(a, mult(c, mult(b, a))))),
% 4.26/4.47 inference(unit_resolution,[status(thm)],[1771, 1765, 41, 706, 716])).
% 4.26/4.47 tff(1773,plain,
% 4.26/4.47 (~(mult(mult(a, b), mult(a, c)) = mult(a, mult(b, mult(a, c))))),
% 4.26/4.47 inference(unit_resolution,[status(thm)],[1069, 1772, 99, 91, 706, 723, 716])).
% 4.26/4.47 tff(1774,plain,
% 4.26/4.47 ((~(mult(mult(a, mult(a, c)), b) = mult(a, mult(mult(a, c), b)))) | (~(mult(mult(a, b), mult(a, c)) = mult(a, mult(b, mult(a, c)))))),
% 4.26/4.47 inference(unit_resolution,[status(thm)],[145, 1773])).
% 4.26/4.47 tff(1775,plain,
% 4.26/4.47 (~((~(mult(mult(a, mult(a, c)), b) = mult(a, mult(b, mult(a, c))))) | (~(mult(mult(a, b), mult(a, c)) = mult(a, mult(mult(a, c), b)))))),
% 4.26/4.47 inference(unit_resolution,[status(thm)],[143, 1774])).
% 4.26/4.47 tff(1776,plain,
% 4.26/4.47 (mult(mult(a, b), mult(a, c)) = mult(a, mult(mult(a, c), b))),
% 4.26/4.47 inference(unit_resolution,[status(thm)],[138, 1775])).
% 4.26/4.47 tff(1777,plain,
% 4.26/4.47 (~(mult(mult(a, mult(b, c)), a) = mult(a, mult(a, mult(b, c))))),
% 4.26/4.47 inference(unit_resolution,[status(thm)],[176, 1776, 97, 723, 65])).
% 4.26/4.47 tff(1778,plain,
% 4.26/4.47 ((~(mult(mult(a, c), mult(b, a)) = mult(a, mult(c, mult(b, a))))) | (~(mult(mult(a, mult(b, a)), c) = mult(a, mult(mult(b, a), c))))),
% 4.26/4.47 inference(unit_resolution,[status(thm)],[120, 1772])).
% 4.26/4.47 tff(1779,plain,
% 4.26/4.47 (~((~(mult(mult(a, c), mult(b, a)) = mult(a, mult(mult(b, a), c)))) | (~(mult(mult(a, mult(b, a)), c) = mult(a, mult(c, mult(b, a))))))),
% 4.26/4.47 inference(unit_resolution,[status(thm)],[132, 1778])).
% 4.26/4.47 tff(1780,plain,
% 4.26/4.47 (mult(mult(a, c), mult(b, a)) = mult(a, mult(mult(b, a), c))),
% 4.26/4.47 inference(unit_resolution,[status(thm)],[134, 1779])).
% 4.26/4.47 tff(1781,plain,
% 4.26/4.47 (~(mult(mult(a, mult(b, c)), a) = mult(a, mult(mult(b, c), a)))),
% 4.26/4.47 inference(unit_resolution,[status(thm)],[519, 1780, 14, 1765, 97])).
% 4.26/4.47 tff(1782,plain,
% 4.26/4.47 ((~(mult(mult(a, a), mult(b, c)) = mult(a, mult(a, mult(b, c))))) | (~(mult(mult(a, mult(b, c)), a) = mult(a, mult(mult(b, c), a))))),
% 4.26/4.47 inference(unit_resolution,[status(thm)],[506, 1781])).
% 4.26/4.47 tff(1783,plain,
% 4.26/4.47 (~((~(mult(mult(a, a), mult(b, c)) = mult(a, mult(mult(b, c), a)))) | (~(mult(mult(a, mult(b, c)), a) = mult(a, mult(a, mult(b, c))))))),
% 4.26/4.47 inference(unit_resolution,[status(thm)],[504, 1782])).
% 4.26/4.47 tff(1784,plain,
% 4.26/4.47 ($false),
% 4.26/4.47 inference(unit_resolution,[status(thm)],[95, 1783, 1777])).
% 4.26/4.47 tff(1785,plain,((mult(mult(a, c), b) = mult(a, mult(c, b))) | (mult(mult(b, a), c) = mult(b, mult(c, a))) | (mult(mult(c, a), b) = mult(c, mult(b, a)))), inference(lemma,lemma(discharge,[]))).
% 4.26/4.47 tff(1786,plain,
% 4.26/4.47 (mult(mult(a, c), b) = mult(a, mult(c, b))),
% 4.26/4.47 inference(unit_resolution,[status(thm)],[1785, 40, 14])).
% 4.26/4.47 tff(1787,assumption,(~(mult(mult(a, b), c) = mult(a, mult(c, b)))), introduced(assumption)).
% 4.26/4.47 tff(1788,plain,
% 4.26/4.47 ((~(mult(mult(a, c), b) = mult(a, mult(b, c)))) | (~(mult(mult(a, b), c) = mult(a, mult(c, b))))),
% 4.26/4.47 inference(unit_resolution,[status(thm)],[51, 1787])).
% 4.26/4.47 tff(1789,plain,
% 4.26/4.47 (~((~(mult(mult(a, c), b) = mult(a, mult(c, b)))) | (~(mult(mult(a, b), c) = mult(a, mult(b, c)))))),
% 4.26/4.47 inference(unit_resolution,[status(thm)],[49, 1788])).
% 4.26/4.47 tff(1790,plain,
% 4.26/4.47 (mult(mult(a, b), c) = mult(a, mult(b, c))),
% 4.26/4.47 inference(unit_resolution,[status(thm)],[756, 1789])).
% 4.26/4.47 tff(1791,plain,
% 4.26/4.47 (mult(a, mult(b, c)) = mult(mult(a, b), c)),
% 4.26/4.47 inference(symmetry,[status(thm)],[1790])).
% 4.26/4.47 tff(1792,plain,
% 4.26/4.47 (mult(a, mult(a, mult(b, c))) = mult(a, mult(mult(a, b), c))),
% 4.26/4.47 inference(monotonicity,[status(thm)],[1791])).
% 4.26/4.47 tff(1793,plain,
% 4.26/4.47 (mult(a, mult(mult(a, b), c)) = mult(a, mult(a, mult(b, c)))),
% 4.26/4.47 inference(symmetry,[status(thm)],[1792])).
% 4.26/4.47 tff(1794,plain,
% 4.26/4.47 (mult(mult(mult(a, b), c), a) = mult(mult(a, mult(b, c)), a)),
% 4.26/4.47 inference(monotonicity,[status(thm)],[1790])).
% 4.26/4.47 tff(1795,plain,
% 4.26/4.47 (mult(mult(a, mult(b, c)), a) = mult(mult(mult(a, b), c), a)),
% 4.26/4.47 inference(symmetry,[status(thm)],[1794])).
% 4.26/4.47 tff(1796,plain,
% 4.26/4.47 ((mult(mult(a, mult(b, c)), a) = mult(a, mult(mult(b, c), a))) <=> (mult(mult(mult(a, b), c), a) = mult(a, mult(b, mult(c, a))))),
% 4.26/4.47 inference(monotonicity,[status(thm)],[1795, 103])).
% 4.26/4.47 tff(1797,plain,
% 4.26/4.47 ((mult(mult(a, mult(b, c)), a) = mult(a, mult(mult(b, c), a))) <=> (mult(a, mult(b, mult(c, a))) = mult(mult(mult(a, b), c), a))),
% 4.26/4.47 inference(transitivity,[status(thm)],[1796, 15])).
% 4.26/4.47 tff(1798,plain,
% 4.26/4.47 ((mult(a, mult(b, mult(c, a))) = mult(mult(mult(a, b), c), a)) <=> (mult(mult(a, mult(b, c)), a) = mult(a, mult(mult(b, c), a)))),
% 4.26/4.47 inference(symmetry,[status(thm)],[1797])).
% 4.26/4.47 tff(1799,plain,
% 4.26/4.47 ((~(mult(a, mult(b, mult(c, a))) = mult(mult(mult(a, b), c), a))) <=> (~(mult(mult(a, mult(b, c)), a) = mult(a, mult(mult(b, c), a))))),
% 4.26/4.47 inference(monotonicity,[status(thm)],[1798])).
% 4.26/4.47 tff(1800,plain,
% 4.26/4.47 (~(mult(mult(a, mult(b, c)), a) = mult(a, mult(mult(b, c), a)))),
% 4.26/4.47 inference(modus_ponens,[status(thm)],[194, 1799])).
% 4.26/4.47 tff(1801,plain,
% 4.26/4.47 ((~(mult(mult(a, mult(b, c)), a) = mult(a, mult(mult(b, c), a)))) | (~(mult(mult(a, a), mult(b, c)) = mult(a, mult(a, mult(b, c)))))),
% 4.26/4.47 inference(unit_resolution,[status(thm)],[660, 1800])).
% 4.26/4.47 tff(1802,plain,
% 4.26/4.47 (~((~(mult(mult(a, mult(b, c)), a) = mult(a, mult(a, mult(b, c))))) | (~(mult(mult(a, a), mult(b, c)) = mult(a, mult(mult(b, c), a)))))),
% 4.26/4.47 inference(unit_resolution,[status(thm)],[658, 1801])).
% 4.26/4.47 tff(1803,plain,
% 4.26/4.47 (mult(mult(a, mult(b, c)), a) = mult(a, mult(a, mult(b, c)))),
% 4.26/4.47 inference(unit_resolution,[status(thm)],[786, 1802])).
% 4.26/4.47 tff(1804,plain,
% 4.26/4.47 (mult(a, mult(mult(a, c), b)) = mult(a, mult(a, mult(c, b)))),
% 4.26/4.47 inference(symmetry,[status(thm)],[798])).
% 4.26/4.47 tff(1805,plain,
% 4.26/4.47 (~(mult(mult(a, b), mult(a, c)) = mult(a, mult(b, mult(a, c))))),
% 4.26/4.47 inference(unit_resolution,[status(thm)],[981, 168, 118, 1790, 116, 40])).
% 4.26/4.47 tff(1806,plain,
% 4.26/4.47 (((~(mult(mult(a, b), mult(a, c)) = mult(a, mult(b, mult(a, c))))) | (~(mult(mult(a, mult(a, c)), b) = mult(a, mult(mult(a, c), b))))) | (mult(mult(a, b), mult(a, c)) = mult(a, mult(b, mult(a, c))))),
% 4.26/4.47 inference(tautology,[status(thm)],[])).
% 4.26/4.47 tff(1807,plain,
% 4.26/4.47 ((~(mult(mult(a, b), mult(a, c)) = mult(a, mult(b, mult(a, c))))) | (~(mult(mult(a, mult(a, c)), b) = mult(a, mult(mult(a, c), b))))),
% 4.26/4.47 inference(unit_resolution,[status(thm)],[1806, 1805])).
% 4.26/4.47 tff(1808,plain,
% 4.26/4.47 (((~![X0: $i, X1: $i, X2: $i] : ((~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X2, X1)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X1, X2)))))) | (~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X1, X2)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X2, X1)))))))) | ((~((~(mult(mult(a, b), mult(a, c)) = mult(a, mult(mult(a, c), b)))) | (~(mult(mult(a, mult(a, c)), b) = mult(a, mult(b, mult(a, c))))))) | (~((~(mult(mult(a, b), mult(a, c)) = mult(a, mult(b, mult(a, c))))) | (~(mult(mult(a, mult(a, c)), b) = mult(a, mult(mult(a, c), b)))))))) <=> ((~![X0: $i, X1: $i, X2: $i] : ((~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X2, X1)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X1, X2)))))) | (~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X1, X2)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X2, X1)))))))) | (~((~(mult(mult(a, b), mult(a, c)) = mult(a, mult(mult(a, c), b)))) | (~(mult(mult(a, mult(a, c)), b) = mult(a, mult(b, mult(a, c))))))) | (~((~(mult(mult(a, b), mult(a, c)) = mult(a, mult(b, mult(a, c))))) | (~(mult(mult(a, mult(a, c)), b) = mult(a, mult(mult(a, c), b)))))))),
% 4.26/4.47 inference(rewrite,[status(thm)],[])).
% 4.26/4.47 tff(1809,plain,
% 4.26/4.47 ((~![X0: $i, X1: $i, X2: $i] : ((~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X2, X1)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X1, X2)))))) | (~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X1, X2)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X2, X1)))))))) | ((~((~(mult(mult(a, b), mult(a, c)) = mult(a, mult(mult(a, c), b)))) | (~(mult(mult(a, mult(a, c)), b) = mult(a, mult(b, mult(a, c))))))) | (~((~(mult(mult(a, b), mult(a, c)) = mult(a, mult(b, mult(a, c))))) | (~(mult(mult(a, mult(a, c)), b) = mult(a, mult(mult(a, c), b)))))))),
% 4.26/4.47 inference(quant_inst,[status(thm)],[])).
% 4.26/4.47 tff(1810,plain,
% 4.26/4.47 ((~![X0: $i, X1: $i, X2: $i] : ((~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X2, X1)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X1, X2)))))) | (~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X1, X2)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X2, X1)))))))) | (~((~(mult(mult(a, b), mult(a, c)) = mult(a, mult(mult(a, c), b)))) | (~(mult(mult(a, mult(a, c)), b) = mult(a, mult(b, mult(a, c))))))) | (~((~(mult(mult(a, b), mult(a, c)) = mult(a, mult(b, mult(a, c))))) | (~(mult(mult(a, mult(a, c)), b) = mult(a, mult(mult(a, c), b))))))),
% 4.26/4.47 inference(modus_ponens,[status(thm)],[1809, 1808])).
% 4.26/4.47 tff(1811,plain,
% 4.26/4.47 ((~((~(mult(mult(a, b), mult(a, c)) = mult(a, mult(mult(a, c), b)))) | (~(mult(mult(a, mult(a, c)), b) = mult(a, mult(b, mult(a, c))))))) | (~((~(mult(mult(a, b), mult(a, c)) = mult(a, mult(b, mult(a, c))))) | (~(mult(mult(a, mult(a, c)), b) = mult(a, mult(mult(a, c), b))))))),
% 4.26/4.47 inference(unit_resolution,[status(thm)],[1810, 30])).
% 4.26/4.47 tff(1812,plain,
% 4.26/4.47 (~((~(mult(mult(a, b), mult(a, c)) = mult(a, mult(mult(a, c), b)))) | (~(mult(mult(a, mult(a, c)), b) = mult(a, mult(b, mult(a, c))))))),
% 4.26/4.47 inference(unit_resolution,[status(thm)],[1811, 1807])).
% 4.26/4.47 tff(1813,plain,
% 4.26/4.47 (((~(mult(mult(a, b), mult(a, c)) = mult(a, mult(mult(a, c), b)))) | (~(mult(mult(a, mult(a, c)), b) = mult(a, mult(b, mult(a, c)))))) | (mult(mult(a, b), mult(a, c)) = mult(a, mult(mult(a, c), b)))),
% 4.26/4.47 inference(tautology,[status(thm)],[])).
% 4.26/4.47 tff(1814,plain,
% 4.26/4.47 (mult(mult(a, b), mult(a, c)) = mult(a, mult(mult(a, c), b))),
% 4.26/4.47 inference(unit_resolution,[status(thm)],[1813, 1812])).
% 4.26/4.47 tff(1815,plain,
% 4.26/4.47 (mult(a, mult(mult(a, b), c)) = mult(a, mult(a, mult(c, b)))),
% 4.26/4.47 inference(transitivity,[status(thm)],[1793, 166, 1795, 168, 1814, 1804])).
% 4.26/4.47 tff(1816,plain,
% 4.26/4.47 (ld(a, mult(a, mult(mult(a, b), c))) = ld(a, mult(a, mult(a, mult(c, b))))),
% 4.26/4.47 inference(monotonicity,[status(thm)],[1815])).
% 4.26/4.47 tff(1817,plain,
% 4.26/4.47 (mult(mult(a, b), c) = mult(a, mult(c, b))),
% 4.26/4.47 inference(transitivity,[status(thm)],[561, 1816, 802])).
% 4.26/4.47 tff(1818,plain,
% 4.26/4.47 ($false),
% 4.26/4.47 inference(unit_resolution,[status(thm)],[1787, 1817])).
% 4.26/4.47 tff(1819,plain,((~(mult(mult(mult(a, b), c), a) = mult(mult(a, b), mult(a, c)))) | (mult(mult(a, b), c) = mult(a, mult(c, b))) | (~(mult(mult(a, mult(b, c)), a) = mult(a, mult(a, mult(b, c))))) | (~(mult(mult(a, c), b) = mult(a, mult(c, b)))) | (~(mult(mult(b, a), c) = mult(b, mult(a, c)))) | (mult(mult(c, a), b) = mult(c, mult(b, a)))), inference(lemma,lemma(discharge,[]))).
% 4.26/4.47 tff(1820,plain,
% 4.26/4.47 (~(mult(mult(mult(a, b), c), a) = mult(mult(a, b), mult(a, c)))),
% 4.26/4.47 inference(unit_resolution,[status(thm)],[1819, 1787, 1803, 788, 118, 40])).
% 4.26/4.47 tff(1821,plain,
% 4.26/4.47 ((~(mult(mult(mult(a, b), a), c) = mult(mult(a, b), mult(c, a)))) | (~(mult(mult(mult(a, b), c), a) = mult(mult(a, b), mult(a, c))))),
% 4.26/4.47 inference(unit_resolution,[status(thm)],[178, 1820])).
% 4.26/4.47 tff(1822,plain,
% 4.26/4.47 (~((~(mult(mult(mult(a, b), a), c) = mult(mult(a, b), mult(a, c)))) | (~(mult(mult(mult(a, b), c), a) = mult(mult(a, b), mult(c, a)))))),
% 4.26/4.47 inference(unit_resolution,[status(thm)],[183, 1821])).
% 4.26/4.47 tff(1823,plain,
% 4.26/4.47 (mult(mult(mult(a, b), c), a) = mult(mult(a, b), mult(c, a))),
% 4.26/4.47 inference(unit_resolution,[status(thm)],[185, 1822])).
% 4.26/4.47 tff(1824,plain,
% 4.26/4.47 ((mult(a, mult(a, mult(b, c))) = mult(mult(a, a), mult(b, c))) <=> (mult(mult(a, a), mult(b, c)) = mult(a, mult(a, mult(b, c))))),
% 4.26/4.47 inference(commutativity,[status(thm)],[])).
% 4.26/4.47 tff(1825,plain,
% 4.26/4.47 (mult(mult(a, a), mult(b, c)) = mult(a, mult(mult(b, c), a))),
% 4.26/4.47 inference(unit_resolution,[status(thm)],[653, 1802])).
% 4.26/4.47 tff(1826,plain,
% 4.26/4.47 (mult(a, mult(mult(b, c), a)) = mult(mult(a, a), mult(b, c))),
% 4.26/4.47 inference(symmetry,[status(thm)],[1825])).
% 4.26/4.47 tff(1827,plain,
% 4.26/4.47 (mult(a, mult(b, mult(c, a))) = mult(mult(a, a), mult(b, c))),
% 4.26/4.47 inference(transitivity,[status(thm)],[1196, 1826])).
% 4.26/4.47 tff(1828,plain,
% 4.26/4.47 (mult(mult(a, b), mult(c, a)) = mult(mult(mult(a, b), c), a)),
% 4.26/4.47 inference(symmetry,[status(thm)],[1823])).
% 4.26/4.47 tff(1829,plain,
% 4.26/4.47 (mult(mult(a, b), mult(c, a)) = mult(a, mult(a, mult(b, c)))),
% 4.26/4.47 inference(transitivity,[status(thm)],[1828, 1794, 1803])).
% 4.26/4.47 tff(1830,plain,
% 4.26/4.47 ((mult(mult(a, b), mult(c, a)) = mult(a, mult(b, mult(c, a)))) <=> (mult(a, mult(a, mult(b, c))) = mult(mult(a, a), mult(b, c)))),
% 4.26/4.47 inference(monotonicity,[status(thm)],[1829, 1827])).
% 4.26/4.47 tff(1831,plain,
% 4.26/4.47 ((mult(mult(a, b), mult(c, a)) = mult(a, mult(b, mult(c, a)))) <=> (mult(mult(a, a), mult(b, c)) = mult(a, mult(a, mult(b, c))))),
% 4.26/4.47 inference(transitivity,[status(thm)],[1830, 1824])).
% 4.26/4.47 tff(1832,plain,
% 4.26/4.47 ((mult(mult(a, a), mult(b, c)) = mult(a, mult(a, mult(b, c)))) <=> (mult(mult(a, b), mult(c, a)) = mult(a, mult(b, mult(c, a))))),
% 4.26/4.47 inference(symmetry,[status(thm)],[1831])).
% 4.26/4.48 tff(1833,plain,
% 4.26/4.48 ((~(mult(mult(a, a), mult(b, c)) = mult(a, mult(a, mult(b, c))))) <=> (~(mult(mult(a, b), mult(c, a)) = mult(a, mult(b, mult(c, a)))))),
% 4.26/4.48 inference(monotonicity,[status(thm)],[1832])).
% 4.26/4.48 tff(1834,plain,
% 4.26/4.48 ((mult(a, mult(mult(b, c), a)) = mult(mult(a, mult(b, c)), a)) <=> (mult(mult(a, mult(b, c)), a) = mult(a, mult(mult(b, c), a)))),
% 4.26/4.48 inference(commutativity,[status(thm)],[])).
% 4.26/4.48 tff(1835,assumption,(~(mult(mult(a, mult(b, c)), a) = mult(a, mult(mult(b, c), a)))), introduced(assumption)).
% 4.26/4.48 tff(1836,plain,
% 4.26/4.48 ((~(mult(mult(a, a), mult(b, c)) = mult(a, mult(a, mult(b, c))))) | (~(mult(mult(a, mult(b, c)), a) = mult(a, mult(mult(b, c), a))))),
% 4.26/4.48 inference(unit_resolution,[status(thm)],[506, 1835])).
% 4.26/4.48 tff(1837,plain,
% 4.26/4.48 (~((~(mult(mult(a, a), mult(b, c)) = mult(a, mult(mult(b, c), a)))) | (~(mult(mult(a, mult(b, c)), a) = mult(a, mult(a, mult(b, c))))))),
% 4.26/4.48 inference(unit_resolution,[status(thm)],[504, 1836])).
% 4.26/4.48 tff(1838,plain,
% 4.26/4.48 (mult(mult(a, mult(b, c)), a) = mult(a, mult(a, mult(b, c)))),
% 4.26/4.48 inference(unit_resolution,[status(thm)],[95, 1837])).
% 4.26/4.48 tff(1839,plain,
% 4.26/4.48 (mult(a, mult(a, mult(b, c))) = mult(mult(a, mult(b, c)), a)),
% 4.26/4.48 inference(symmetry,[status(thm)],[1838])).
% 4.26/4.48 tff(1840,plain,
% 4.26/4.48 (mult(mult(a, a), mult(b, c)) = mult(a, mult(mult(b, c), a))),
% 4.26/4.48 inference(unit_resolution,[status(thm)],[100, 1837])).
% 4.26/4.48 tff(1841,plain,
% 4.26/4.48 ((mult(mult(a, a), mult(b, c)) = mult(a, mult(a, mult(b, c)))) <=> (mult(a, mult(mult(b, c), a)) = mult(mult(a, mult(b, c)), a))),
% 4.26/4.48 inference(monotonicity,[status(thm)],[1840, 1839])).
% 4.26/4.48 tff(1842,plain,
% 4.26/4.48 ((mult(mult(a, a), mult(b, c)) = mult(a, mult(a, mult(b, c)))) <=> (mult(mult(a, mult(b, c)), a) = mult(a, mult(mult(b, c), a)))),
% 4.26/4.48 inference(transitivity,[status(thm)],[1841, 1834])).
% 4.26/4.48 tff(1843,plain,
% 4.26/4.48 ((mult(mult(a, mult(b, c)), a) = mult(a, mult(mult(b, c), a))) <=> (mult(mult(a, a), mult(b, c)) = mult(a, mult(a, mult(b, c))))),
% 4.26/4.48 inference(symmetry,[status(thm)],[1842])).
% 4.26/4.48 tff(1844,plain,
% 4.26/4.48 ((~(mult(mult(a, mult(b, c)), a) = mult(a, mult(mult(b, c), a)))) <=> (~(mult(mult(a, a), mult(b, c)) = mult(a, mult(a, mult(b, c)))))),
% 4.26/4.48 inference(monotonicity,[status(thm)],[1843])).
% 4.26/4.48 tff(1845,plain,
% 4.26/4.48 (~(mult(mult(a, a), mult(b, c)) = mult(a, mult(a, mult(b, c))))),
% 4.26/4.48 inference(modus_ponens,[status(thm)],[1835, 1844])).
% 4.26/4.48 tff(1846,plain,
% 4.26/4.48 ($false),
% 4.26/4.48 inference(unit_resolution,[status(thm)],[1154, 1845])).
% 4.26/4.48 tff(1847,plain,((mult(mult(a, mult(b, c)), a) = mult(a, mult(mult(b, c), a))) | (~(mult(mult(a, a), mult(b, c)) = mult(a, mult(a, mult(b, c)))))), inference(lemma,lemma(discharge,[]))).
% 4.26/4.48 tff(1848,plain,
% 4.26/4.48 (~(mult(mult(a, a), mult(b, c)) = mult(a, mult(a, mult(b, c))))),
% 4.26/4.48 inference(unit_resolution,[status(thm)],[1847, 1800])).
% 4.26/4.48 tff(1849,plain,
% 4.26/4.48 (~(mult(mult(a, b), mult(c, a)) = mult(a, mult(b, mult(c, a))))),
% 4.26/4.48 inference(modus_ponens,[status(thm)],[1848, 1833])).
% 4.26/4.48 tff(1850,plain,
% 4.26/4.48 ((~(mult(mult(a, b), mult(c, a)) = mult(a, mult(b, mult(c, a))))) | (~(mult(mult(a, mult(c, a)), b) = mult(a, mult(mult(c, a), b))))),
% 4.26/4.48 inference(unit_resolution,[status(thm)],[196, 1849])).
% 4.26/4.48 tff(1851,plain,
% 4.26/4.48 (~((~(mult(mult(a, b), mult(c, a)) = mult(a, mult(mult(c, a), b)))) | (~(mult(mult(a, mult(c, a)), b) = mult(a, mult(b, mult(c, a))))))),
% 4.26/4.48 inference(unit_resolution,[status(thm)],[201, 1850])).
% 4.26/4.48 tff(1852,plain,
% 4.26/4.48 (mult(mult(a, b), mult(c, a)) = mult(a, mult(mult(c, a), b))),
% 4.26/4.48 inference(unit_resolution,[status(thm)],[203, 1851])).
% 4.26/4.48 tff(1853,plain,
% 4.26/4.48 (mult(a, mult(mult(a, b), c)) = mult(a, mult(c, mult(a, b)))),
% 4.26/4.48 inference(transitivity,[status(thm)],[791, 166, 778, 370, 439, 273])).
% 4.26/4.48 tff(1854,plain,
% 4.26/4.48 ((mult(mult(a, mult(a, b)), c) = mult(a, mult(mult(a, b), c))) <=> (mult(mult(a, mult(a, b)), c) = mult(a, mult(c, mult(a, b))))),
% 4.26/4.48 inference(monotonicity,[status(thm)],[1853])).
% 4.26/4.48 tff(1855,assumption,(~(mult(mult(a, mult(a, b)), c) = mult(a, mult(c, mult(a, b))))), introduced(assumption)).
% 4.26/4.48 tff(1856,plain,
% 4.26/4.48 ((~(mult(mult(a, mult(a, b)), c) = mult(a, mult(c, mult(a, b))))) | (~(mult(mult(a, c), mult(a, b)) = mult(a, mult(mult(a, b), c))))),
% 4.26/4.48 inference(unit_resolution,[status(thm)],[287, 1855])).
% 4.26/4.48 tff(1857,plain,
% 4.26/4.48 (~((~(mult(mult(a, mult(a, b)), c) = mult(a, mult(mult(a, b), c)))) | (~(mult(mult(a, c), mult(a, b)) = mult(a, mult(c, mult(a, b))))))),
% 4.26/4.48 inference(unit_resolution,[status(thm)],[292, 1856])).
% 4.26/4.48 tff(1858,plain,
% 4.26/4.48 (mult(mult(a, mult(a, b)), c) = mult(a, mult(mult(a, b), c))),
% 4.26/4.48 inference(unit_resolution,[status(thm)],[266, 1857])).
% 4.26/4.48 tff(1859,plain,
% 4.26/4.48 (mult(mult(a, mult(a, b)), c) = mult(a, mult(c, mult(a, b)))),
% 4.26/4.48 inference(modus_ponens,[status(thm)],[1858, 1854])).
% 4.26/4.48 tff(1860,plain,
% 4.26/4.48 ($false),
% 4.26/4.48 inference(unit_resolution,[status(thm)],[1855, 1859])).
% 4.26/4.48 tff(1861,plain,((mult(mult(a, mult(a, b)), c) = mult(a, mult(c, mult(a, b)))) | (~(mult(mult(a, mult(b, c)), a) = mult(a, mult(a, mult(b, c))))) | (~(mult(mult(mult(a, b), c), a) = mult(mult(a, b), mult(c, a)))) | (~(mult(mult(a, b), mult(c, a)) = mult(a, mult(mult(c, a), b)))) | (~(mult(mult(a, b), c) = mult(a, mult(b, c)))) | (~(mult(mult(c, a), b) = mult(c, mult(a, b))))), inference(lemma,lemma(discharge,[]))).
% 4.26/4.48 tff(1862,plain,
% 4.26/4.48 (mult(mult(a, mult(a, b)), c) = mult(a, mult(c, mult(a, b)))),
% 4.26/4.48 inference(unit_resolution,[status(thm)],[1861, 1852, 1790, 1803, 1823, 421])).
% 4.26/4.48 tff(1863,plain,
% 4.26/4.48 (~(mult(mult(a, b), a) = mult(a, mult(a, b)))),
% 4.26/4.48 inference(unit_resolution,[status(thm)],[285, 1862, 421, 1820])).
% 4.26/4.48 tff(1864,plain,
% 4.26/4.48 ((~(mult(mult(a, a), b) = mult(a, mult(b, a)))) | (~(mult(mult(a, b), a) = mult(a, mult(a, b))))),
% 4.26/4.48 inference(unit_resolution,[status(thm)],[246, 1863])).
% 4.26/4.48 tff(1865,plain,
% 4.26/4.48 (~((~(mult(mult(a, a), b) = mult(a, mult(a, b)))) | (~(mult(mult(a, b), a) = mult(a, mult(b, a)))))),
% 4.26/4.48 inference(unit_resolution,[status(thm)],[244, 1864])).
% 4.26/4.48 tff(1866,plain,
% 4.26/4.48 (mult(mult(a, a), b) = mult(a, mult(a, b))),
% 4.26/4.48 inference(unit_resolution,[status(thm)],[443, 1865])).
% 4.26/4.48 tff(1867,plain,
% 4.26/4.48 (mult(mult(a, mult(a, b)), c) = mult(a, mult(c, mult(a, b)))),
% 4.26/4.48 inference(unit_resolution,[status(thm)],[1861, 1838, 275, 439, 59, 268])).
% 4.26/4.48 tff(1868,plain,
% 4.26/4.48 (~(mult(mult(a, b), a) = mult(a, mult(a, b)))),
% 4.26/4.48 inference(unit_resolution,[status(thm)],[285, 1867, 268, 248])).
% 4.26/4.48 tff(1869,plain,
% 4.26/4.48 ((~(mult(mult(a, a), b) = mult(a, mult(b, a)))) | (~(mult(mult(a, b), a) = mult(a, mult(a, b))))),
% 4.26/4.48 inference(unit_resolution,[status(thm)],[246, 1868])).
% 4.26/4.48 tff(1870,plain,
% 4.26/4.48 (~((~(mult(mult(a, a), b) = mult(a, mult(a, b)))) | (~(mult(mult(a, b), a) = mult(a, mult(b, a)))))),
% 4.26/4.48 inference(unit_resolution,[status(thm)],[244, 1869])).
% 4.26/4.48 tff(1871,plain,
% 4.26/4.48 (mult(mult(a, a), b) = mult(a, mult(a, b))),
% 4.26/4.48 inference(unit_resolution,[status(thm)],[443, 1870])).
% 4.26/4.48 tff(1872,plain,
% 4.26/4.48 (mult(mult(mult(a, a), b), c) = mult(mult(a, mult(a, b)), c)),
% 4.26/4.48 inference(monotonicity,[status(thm)],[1871])).
% 4.26/4.48 tff(1873,plain,
% 4.26/4.48 (mult(mult(a, b), mult(c, a)) = mult(mult(mult(a, b), c), a)),
% 4.26/4.48 inference(symmetry,[status(thm)],[275])).
% 4.26/4.48 tff(1874,plain,
% 4.26/4.48 (mult(mult(mult(a, a), b), c) = mult(mult(a, mult(b, c)), a)),
% 4.26/4.48 inference(transitivity,[status(thm)],[1872, 1867, 272, 458, 1873, 793])).
% 4.26/4.48 tff(1875,plain,
% 4.26/4.48 ((mult(mult(mult(a, a), b), c) = mult(mult(a, a), mult(b, c))) <=> (mult(mult(a, mult(b, c)), a) = mult(a, mult(mult(b, c), a)))),
% 4.26/4.48 inference(monotonicity,[status(thm)],[1874, 1840])).
% 4.26/4.48 tff(1876,plain,
% 4.26/4.48 ((mult(mult(a, mult(b, c)), a) = mult(a, mult(mult(b, c), a))) <=> (mult(mult(mult(a, a), b), c) = mult(mult(a, a), mult(b, c)))),
% 4.26/4.48 inference(symmetry,[status(thm)],[1875])).
% 4.26/4.48 tff(1877,plain,
% 4.26/4.48 ((~(mult(mult(a, mult(b, c)), a) = mult(a, mult(mult(b, c), a)))) <=> (~(mult(mult(mult(a, a), b), c) = mult(mult(a, a), mult(b, c))))),
% 4.26/4.48 inference(monotonicity,[status(thm)],[1876])).
% 4.26/4.48 tff(1878,plain,
% 4.26/4.48 (~(mult(mult(mult(a, a), b), c) = mult(mult(a, a), mult(b, c)))),
% 4.26/4.48 inference(modus_ponens,[status(thm)],[1835, 1877])).
% 4.26/4.48 tff(1879,plain,
% 4.26/4.48 ((~(mult(mult(mult(a, a), b), c) = mult(mult(a, a), mult(b, c)))) | (~(mult(mult(mult(a, a), c), b) = mult(mult(a, a), mult(c, b))))),
% 4.26/4.48 inference(unit_resolution,[status(thm)],[317, 1878])).
% 4.26/4.48 tff(1880,plain,
% 4.26/4.48 (~((~(mult(mult(mult(a, a), b), c) = mult(mult(a, a), mult(c, b)))) | (~(mult(mult(mult(a, a), c), b) = mult(mult(a, a), mult(b, c)))))),
% 4.26/4.48 inference(unit_resolution,[status(thm)],[338, 1879])).
% 4.26/4.48 tff(1881,plain,
% 4.26/4.48 (mult(mult(mult(a, a), b), c) = mult(mult(a, a), mult(c, b))),
% 4.26/4.48 inference(unit_resolution,[status(thm)],[326, 1880])).
% 4.26/4.48 tff(1882,plain,
% 4.26/4.48 (mult(mult(a, a), mult(c, b)) = mult(mult(mult(a, a), b), c)),
% 4.26/4.48 inference(symmetry,[status(thm)],[1881])).
% 4.26/4.48 tff(1883,assumption,(mult(mult(a, a), mult(c, b)) = mult(a, mult(mult(c, b), a))), introduced(assumption)).
% 4.26/4.48 tff(1884,plain,
% 4.26/4.48 (mult(a, mult(mult(c, b), a)) = mult(mult(a, a), mult(c, b))),
% 4.26/4.48 inference(symmetry,[status(thm)],[1883])).
% 4.26/4.48 tff(1885,plain,
% 4.26/4.48 (mult(a, mult(c, mult(b, a))) = mult(a, mult(mult(c, a), b))),
% 4.26/4.48 inference(transitivity,[status(thm)],[1063, 1884, 1882, 1872, 1867, 272])).
% 4.26/4.48 tff(1886,plain,
% 4.26/4.48 (ld(a, mult(a, mult(c, mult(b, a)))) = ld(a, mult(a, mult(mult(c, a), b)))),
% 4.26/4.48 inference(monotonicity,[status(thm)],[1885])).
% 4.26/4.48 tff(1887,plain,
% 4.26/4.48 (ld(a, mult(a, mult(mult(c, a), b))) = ld(a, mult(a, mult(c, mult(b, a))))),
% 4.26/4.48 inference(symmetry,[status(thm)],[1886])).
% 4.26/4.48 tff(1888,plain,
% 4.26/4.48 (mult(mult(c, a), b) = mult(c, mult(b, a))),
% 4.26/4.48 inference(transitivity,[status(thm)],[210, 1887, 531])).
% 4.26/4.48 tff(1889,plain,
% 4.26/4.48 ($false),
% 4.26/4.48 inference(unit_resolution,[status(thm)],[40, 1888])).
% 4.26/4.48 tff(1890,plain,((mult(mult(a, mult(b, c)), a) = mult(a, mult(mult(b, c), a))) | (mult(mult(c, a), b) = mult(c, mult(b, a))) | (~(mult(mult(a, a), mult(c, b)) = mult(a, mult(mult(c, b), a)))) | (~(mult(mult(c, a), b) = mult(c, mult(a, b)))) | (~(mult(mult(c, b), a) = mult(c, mult(b, a)))) | (~(mult(mult(a, b), mult(c, a)) = mult(a, mult(mult(c, a), b)))) | (~(mult(mult(a, b), c) = mult(a, mult(b, c)))) | (mult(mult(mult(a, b), c), a) = mult(mult(a, b), mult(a, c)))), inference(lemma,lemma(discharge,[]))).
% 4.26/4.48 tff(1891,plain,
% 4.26/4.48 (~(mult(mult(a, a), mult(c, b)) = mult(a, mult(mult(c, b), a)))),
% 4.26/4.48 inference(unit_resolution,[status(thm)],[1890, 1852, 40, 421, 716, 1800, 1790, 1820])).
% 4.26/4.48 tff(1892,plain,
% 4.26/4.48 ((~(mult(mult(a, a), mult(c, b)) = mult(a, mult(mult(c, b), a)))) | (~(mult(mult(a, mult(c, b)), a) = mult(a, mult(a, mult(c, b)))))),
% 4.26/4.48 inference(unit_resolution,[status(thm)],[319, 1891])).
% 4.26/4.48 tff(1893,plain,
% 4.26/4.48 (mult(mult(a, mult(c, b)), a) = mult(a, mult(mult(c, b), a))),
% 4.26/4.48 inference(unit_resolution,[status(thm)],[86, 1892])).
% 4.26/4.48 tff(1894,plain,
% 4.26/4.48 (mult(mult(a, a), mult(c, b)) = mult(a, mult(a, mult(c, b)))),
% 4.26/4.48 inference(unit_resolution,[status(thm)],[1580, 1893])).
% 4.26/4.48 tff(1895,plain,
% 4.26/4.48 (mult(mult(a, mult(a, b)), c) = mult(a, mult(c, mult(a, b)))),
% 4.26/4.48 inference(unit_resolution,[status(thm)],[1861, 439, 1790, 116, 370, 268])).
% 4.26/4.48 tff(1896,plain,
% 4.26/4.48 (mult(mult(mult(a, a), b), c) = mult(mult(a, mult(a, b)), c)),
% 4.26/4.48 inference(monotonicity,[status(thm)],[448])).
% 4.26/4.48 tff(1897,plain,
% 4.26/4.48 (mult(mult(a, a), mult(c, b)) = mult(mult(mult(a, a), b), c)),
% 4.26/4.48 inference(symmetry,[status(thm)],[447])).
% 4.26/4.48 tff(1898,plain,
% 4.26/4.48 (mult(a, mult(a, mult(c, b))) = mult(a, mult(mult(a, b), c))),
% 4.26/4.48 inference(transitivity,[status(thm)],[912, 1897, 1896, 1895, 272, 458, 371, 1794, 116, 1792])).
% 4.26/4.48 tff(1899,plain,
% 4.26/4.48 (ld(a, mult(a, mult(a, mult(c, b)))) = ld(a, mult(a, mult(mult(a, b), c)))),
% 4.26/4.48 inference(monotonicity,[status(thm)],[1898])).
% 4.26/4.48 tff(1900,plain,
% 4.26/4.48 (ld(a, mult(a, mult(mult(a, b), c))) = ld(a, mult(a, mult(a, mult(c, b))))),
% 4.26/4.48 inference(symmetry,[status(thm)],[1899])).
% 4.26/4.48 tff(1901,plain,
% 4.26/4.48 (mult(mult(a, b), c) = mult(a, mult(c, b))),
% 4.26/4.48 inference(transitivity,[status(thm)],[561, 1900, 802])).
% 4.26/4.48 tff(1902,plain,
% 4.26/4.48 ($false),
% 4.26/4.48 inference(unit_resolution,[status(thm)],[1787, 1901])).
% 4.26/4.48 tff(1903,plain,((~(mult(mult(mult(a, a), b), c) = mult(mult(a, a), mult(c, b)))) | (mult(mult(a, b), c) = mult(a, mult(c, b))) | (~(mult(mult(a, a), mult(c, b)) = mult(a, mult(a, mult(c, b))))) | (~(mult(mult(a, b), mult(c, a)) = mult(a, mult(mult(c, a), b)))) | (~(mult(mult(mult(a, b), c), a) = mult(mult(a, b), mult(c, a)))) | (~(mult(mult(a, mult(b, c)), a) = mult(a, mult(a, mult(b, c))))) | (~(mult(mult(c, a), b) = mult(c, mult(a, b)))) | (~(mult(mult(a, a), b) = mult(a, mult(a, b))))), inference(lemma,lemma(discharge,[]))).
% 4.32/4.48 tff(1904,plain,
% 4.32/4.48 (~(mult(mult(mult(a, a), b), c) = mult(mult(a, a), mult(c, b)))),
% 4.32/4.48 inference(unit_resolution,[status(thm)],[1903, 1787, 1894, 1852, 1823, 1803, 421, 1866])).
% 4.32/4.48 tff(1905,plain,
% 4.32/4.48 ((~(mult(mult(mult(a, a), b), c) = mult(mult(a, a), mult(c, b)))) | (~(mult(mult(mult(a, a), c), b) = mult(mult(a, a), mult(b, c))))),
% 4.32/4.48 inference(unit_resolution,[status(thm)],[326, 1904])).
% 4.32/4.48 tff(1906,plain,
% 4.32/4.48 (~((~(mult(mult(mult(a, a), b), c) = mult(mult(a, a), mult(b, c)))) | (~(mult(mult(mult(a, a), c), b) = mult(mult(a, a), mult(c, b)))))),
% 4.32/4.48 inference(unit_resolution,[status(thm)],[338, 1905])).
% 4.32/4.48 tff(1907,plain,
% 4.32/4.48 (mult(mult(mult(a, a), b), c) = mult(mult(a, a), mult(b, c))),
% 4.32/4.48 inference(unit_resolution,[status(thm)],[317, 1906])).
% 4.32/4.48 tff(1908,plain,
% 4.32/4.48 (mult(a, mult(a, b)) = mult(mult(a, a), b)),
% 4.32/4.48 inference(symmetry,[status(thm)],[1866])).
% 4.32/4.48 tff(1909,plain,
% 4.32/4.48 (mult(mult(a, mult(a, b)), c) = mult(mult(mult(a, a), b), c)),
% 4.32/4.48 inference(monotonicity,[status(thm)],[1908])).
% 4.32/4.48 tff(1910,plain,
% 4.32/4.48 (mult(mult(a, mult(a, b)), c) = mult(mult(a, a), mult(b, c))),
% 4.32/4.48 inference(transitivity,[status(thm)],[1909, 1907])).
% 4.32/4.48 tff(1911,plain,
% 4.32/4.48 ((mult(mult(a, mult(a, b)), c) = mult(a, mult(mult(a, b), c))) <=> (mult(mult(a, a), mult(b, c)) = mult(a, mult(a, mult(b, c))))),
% 4.32/4.48 inference(monotonicity,[status(thm)],[1910, 1793])).
% 4.32/4.48 tff(1912,plain,
% 4.32/4.48 ((mult(mult(a, a), mult(b, c)) = mult(a, mult(a, mult(b, c)))) <=> (mult(mult(a, mult(a, b)), c) = mult(a, mult(mult(a, b), c)))),
% 4.32/4.48 inference(symmetry,[status(thm)],[1911])).
% 4.32/4.48 tff(1913,plain,
% 4.32/4.48 ((~(mult(mult(a, a), mult(b, c)) = mult(a, mult(a, mult(b, c))))) <=> (~(mult(mult(a, mult(a, b)), c) = mult(a, mult(mult(a, b), c))))),
% 4.32/4.48 inference(monotonicity,[status(thm)],[1912])).
% 4.32/4.48 tff(1914,plain,
% 4.32/4.48 (~(mult(mult(a, mult(a, b)), c) = mult(a, mult(mult(a, b), c)))),
% 4.32/4.48 inference(modus_ponens,[status(thm)],[1848, 1913])).
% 4.32/4.48 tff(1915,plain,
% 4.32/4.48 (mult(a, mult(mult(c, a), b)) = mult(mult(a, b), mult(c, a))),
% 4.32/4.48 inference(symmetry,[status(thm)],[1852])).
% 4.32/4.48 tff(1916,plain,
% 4.32/4.48 (mult(a, mult(c, mult(a, b))) = mult(a, mult(mult(a, b), c))),
% 4.32/4.48 inference(transitivity,[status(thm)],[482, 1915, 1828, 1794, 1803, 1792])).
% 4.32/4.48 tff(1917,plain,
% 4.32/4.48 ((mult(mult(a, mult(a, b)), c) = mult(a, mult(c, mult(a, b)))) <=> (mult(mult(a, mult(a, b)), c) = mult(a, mult(mult(a, b), c)))),
% 4.32/4.48 inference(monotonicity,[status(thm)],[1916])).
% 4.32/4.48 tff(1918,plain,
% 4.32/4.48 (mult(mult(a, mult(a, b)), c) = mult(a, mult(mult(a, b), c))),
% 4.32/4.48 inference(modus_ponens,[status(thm)],[1862, 1917])).
% 4.32/4.48 tff(1919,plain,
% 4.32/4.48 ($false),
% 4.32/4.48 inference(unit_resolution,[status(thm)],[1918, 1914])).
% 4.32/4.48 tff(1920,plain,((mult(mult(a, b), c) = mult(a, mult(c, b))) | (mult(mult(c, a), b) = mult(c, mult(b, a))) | (~(mult(mult(b, c), a) = mult(b, mult(c, a)))) | (~(mult(mult(a, c), b) = mult(a, mult(c, b)))) | (~(mult(mult(b, a), c) = mult(b, mult(a, c))))), inference(lemma,lemma(discharge,[]))).
% 4.32/4.48 tff(1921,plain,
% 4.32/4.48 (mult(mult(a, b), c) = mult(a, mult(c, b))),
% 4.32/4.48 inference(unit_resolution,[status(thm)],[1920, 40, 37, 1786, 99])).
% 4.32/4.48 tff(1922,plain,
% 4.32/4.48 (mult(mult(a, b), c) = mult(mult(a, c), b)),
% 4.32/4.48 inference(transitivity,[status(thm)],[106, 797])).
% 4.32/4.48 tff(1923,plain,
% 4.32/4.48 ((mult(mult(a, b), c) = mult(a, mult(b, c))) <=> (mult(mult(a, c), b) = mult(a, mult(b, c)))),
% 4.32/4.48 inference(monotonicity,[status(thm)],[1922])).
% 4.32/4.48 tff(1924,plain,
% 4.32/4.48 ((mult(mult(a, c), b) = mult(a, mult(b, c))) <=> (mult(mult(a, b), c) = mult(a, mult(b, c)))),
% 4.32/4.48 inference(symmetry,[status(thm)],[1923])).
% 4.32/4.48 tff(1925,plain,
% 4.32/4.48 ((~(mult(mult(a, c), b) = mult(a, mult(c, b)))) | (~(mult(mult(a, b), c) = mult(a, mult(b, c))))),
% 4.32/4.48 inference(unit_resolution,[status(thm)],[756, 115])).
% 4.32/4.48 tff(1926,plain,
% 4.32/4.48 (~((~(mult(mult(a, c), b) = mult(a, mult(b, c)))) | (~(mult(mult(a, b), c) = mult(a, mult(c, b)))))),
% 4.32/4.48 inference(unit_resolution,[status(thm)],[49, 1925])).
% 4.32/4.48 tff(1927,plain,
% 4.32/4.48 (mult(mult(a, c), b) = mult(a, mult(b, c))),
% 4.32/4.48 inference(unit_resolution,[status(thm)],[54, 1926])).
% 4.32/4.48 tff(1928,plain,
% 4.32/4.48 (mult(mult(a, b), c) = mult(a, mult(b, c))),
% 4.32/4.49 inference(modus_ponens,[status(thm)],[1927, 1924])).
% 4.32/4.49 tff(1929,plain,
% 4.32/4.49 ($false),
% 4.32/4.49 inference(unit_resolution,[status(thm)],[115, 1928])).
% 4.32/4.49 tff(1930,plain,((mult(mult(a, b), c) = mult(a, mult(b, c))) | (~(mult(mult(a, b), c) = mult(a, mult(c, b)))) | (~(mult(mult(a, c), b) = mult(a, mult(c, b))))), inference(lemma,lemma(discharge,[]))).
% 4.32/4.49 tff(1931,plain,
% 4.32/4.49 (mult(mult(a, b), c) = mult(a, mult(b, c))),
% 4.32/4.49 inference(unit_resolution,[status(thm)],[1930, 1921, 1786])).
% 4.32/4.49 tff(1932,plain,
% 4.32/4.49 (mult(a, mult(c, b)) = mult(mult(a, b), c)),
% 4.32/4.49 inference(symmetry,[status(thm)],[1921])).
% 4.32/4.49 tff(1933,plain,
% 4.32/4.49 (mult(a, mult(c, b)) = mult(a, mult(b, c))),
% 4.32/4.49 inference(transitivity,[status(thm)],[1932, 1931])).
% 4.32/4.49 tff(1934,plain,
% 4.32/4.49 (ld(a, mult(a, mult(c, b))) = ld(a, mult(a, mult(b, c)))),
% 4.32/4.49 inference(monotonicity,[status(thm)],[1933])).
% 4.32/4.49 tff(1935,plain,
% 4.32/4.49 (mult(c, b) = mult(b, c)),
% 4.32/4.49 inference(transitivity,[status(thm)],[808, 1934, 39])).
% 4.32/4.49 tff(1936,plain,
% 4.32/4.49 (mult(mult(c, b), a) = mult(mult(b, c), a)),
% 4.32/4.49 inference(monotonicity,[status(thm)],[1935])).
% 4.32/4.49 tff(1937,plain,
% 4.32/4.49 (mult(c, mult(b, a)) = mult(b, mult(c, a))),
% 4.32/4.49 inference(transitivity,[status(thm)],[1054, 1936, 37])).
% 4.32/4.49 tff(1938,plain,
% 4.32/4.49 (mult(a, mult(c, mult(b, a))) = mult(a, mult(b, mult(c, a)))),
% 4.32/4.49 inference(monotonicity,[status(thm)],[1937])).
% 4.32/4.49 tff(1939,plain,
% 4.32/4.49 (mult(a, mult(c, b)) = mult(a, mult(b, c))),
% 4.32/4.49 inference(transitivity,[status(thm)],[110, 59])).
% 4.32/4.49 tff(1940,plain,
% 4.32/4.49 (ld(a, mult(a, mult(c, b))) = ld(a, mult(a, mult(b, c)))),
% 4.32/4.49 inference(monotonicity,[status(thm)],[1939])).
% 4.32/4.49 tff(1941,plain,
% 4.32/4.49 (mult(c, b) = mult(b, c)),
% 4.32/4.49 inference(transitivity,[status(thm)],[808, 1940, 39])).
% 4.32/4.49 tff(1942,plain,
% 4.32/4.49 (mult(mult(c, b), a) = mult(mult(b, c), a)),
% 4.32/4.49 inference(monotonicity,[status(thm)],[1941])).
% 4.32/4.49 tff(1943,plain,
% 4.32/4.49 (mult(c, mult(b, a)) = mult(b, mult(c, a))),
% 4.32/4.49 inference(transitivity,[status(thm)],[1062, 1942, 102])).
% 4.32/4.49 tff(1944,plain,
% 4.32/4.49 (mult(a, mult(c, mult(b, a))) = mult(a, mult(b, mult(c, a)))),
% 4.32/4.49 inference(monotonicity,[status(thm)],[1943])).
% 4.32/4.49 tff(1945,plain,
% 4.32/4.49 (mult(a, mult(b, mult(c, a))) = mult(a, mult(c, mult(b, a)))),
% 4.32/4.49 inference(symmetry,[status(thm)],[1944])).
% 4.32/4.49 tff(1946,assumption,(~(mult(mult(a, b), a) = mult(a, mult(a, b)))), introduced(assumption)).
% 4.32/4.49 tff(1947,plain,
% 4.32/4.49 ((~(mult(mult(a, a), b) = mult(a, mult(b, a)))) | (~(mult(mult(a, b), a) = mult(a, mult(a, b))))),
% 4.32/4.49 inference(unit_resolution,[status(thm)],[246, 1946])).
% 4.32/4.49 tff(1948,plain,
% 4.32/4.49 (~((~(mult(mult(a, a), b) = mult(a, mult(a, b)))) | (~(mult(mult(a, b), a) = mult(a, mult(b, a)))))),
% 4.32/4.49 inference(unit_resolution,[status(thm)],[244, 1947])).
% 4.32/4.49 tff(1949,plain,
% 4.32/4.49 (mult(mult(a, b), a) = mult(a, mult(b, a))),
% 4.32/4.49 inference(unit_resolution,[status(thm)],[232, 1948])).
% 4.32/4.49 tff(1950,plain,
% 4.32/4.49 (mult(mult(mult(a, b), a), c) = mult(mult(a, mult(b, a)), c)),
% 4.32/4.49 inference(monotonicity,[status(thm)],[1949])).
% 4.32/4.49 tff(1951,plain,
% 4.32/4.49 (mult(a, mult(b, c)) = mult(a, mult(c, b))),
% 4.32/4.49 inference(transitivity,[status(thm)],[777, 106])).
% 4.32/4.49 tff(1952,plain,
% 4.32/4.49 (mult(mult(a, mult(b, c)), a) = mult(mult(a, mult(c, b)), a)),
% 4.32/4.49 inference(monotonicity,[status(thm)],[1951])).
% 4.32/4.49 tff(1953,plain,
% 4.32/4.49 (mult(mult(a, mult(b, c)), a) = mult(mult(mult(a, b), c), a)),
% 4.32/4.49 inference(transitivity,[status(thm)],[1952, 108])).
% 4.32/4.49 tff(1954,plain,
% 4.32/4.49 ((mult(mult(a, mult(b, c)), a) = mult(a, mult(mult(b, c), a))) <=> (mult(mult(mult(a, b), c), a) = mult(a, mult(b, mult(c, a))))),
% 4.32/4.49 inference(monotonicity,[status(thm)],[1953, 103])).
% 4.32/4.49 tff(1955,plain,
% 4.32/4.49 ((mult(mult(a, mult(b, c)), a) = mult(a, mult(mult(b, c), a))) <=> (mult(a, mult(b, mult(c, a))) = mult(mult(mult(a, b), c), a))),
% 4.32/4.49 inference(transitivity,[status(thm)],[1954, 15])).
% 4.32/4.49 tff(1956,plain,
% 4.32/4.49 ((mult(a, mult(b, mult(c, a))) = mult(mult(mult(a, b), c), a)) <=> (mult(mult(a, mult(b, c)), a) = mult(a, mult(mult(b, c), a)))),
% 4.32/4.49 inference(symmetry,[status(thm)],[1955])).
% 4.32/4.49 tff(1957,plain,
% 4.32/4.49 ((~(mult(a, mult(b, mult(c, a))) = mult(mult(mult(a, b), c), a))) <=> (~(mult(mult(a, mult(b, c)), a) = mult(a, mult(mult(b, c), a))))),
% 4.32/4.49 inference(monotonicity,[status(thm)],[1956])).
% 4.32/4.49 tff(1958,plain,
% 4.32/4.49 (~(mult(mult(a, mult(b, c)), a) = mult(a, mult(mult(b, c), a)))),
% 4.32/4.49 inference(modus_ponens,[status(thm)],[194, 1957])).
% 4.32/4.49 tff(1959,plain,
% 4.32/4.49 ((~(mult(mult(a, mult(b, c)), a) = mult(a, mult(mult(b, c), a)))) | (~(mult(mult(a, a), mult(b, c)) = mult(a, mult(a, mult(b, c)))))),
% 4.32/4.49 inference(unit_resolution,[status(thm)],[660, 1958])).
% 4.32/4.49 tff(1960,plain,
% 4.32/4.49 (~((~(mult(mult(a, mult(b, c)), a) = mult(a, mult(a, mult(b, c))))) | (~(mult(mult(a, a), mult(b, c)) = mult(a, mult(mult(b, c), a)))))),
% 4.32/4.49 inference(unit_resolution,[status(thm)],[658, 1959])).
% 4.32/4.49 tff(1961,plain,
% 4.32/4.49 (mult(mult(a, mult(b, c)), a) = mult(a, mult(a, mult(b, c)))),
% 4.32/4.49 inference(unit_resolution,[status(thm)],[786, 1960])).
% 4.32/4.49 tff(1962,plain,
% 4.32/4.49 (mult(a, mult(a, mult(b, c))) = mult(mult(a, mult(b, c)), a)),
% 4.32/4.49 inference(symmetry,[status(thm)],[1961])).
% 4.32/4.49 tff(1963,plain,
% 4.32/4.49 (mult(a, mult(a, mult(c, b))) = mult(a, mult(a, mult(b, c)))),
% 4.32/4.49 inference(monotonicity,[status(thm)],[1939])).
% 4.32/4.49 tff(1964,plain,
% 4.32/4.49 (mult(a, mult(mult(a, b), c)) = mult(mult(mult(a, b), c), a)),
% 4.32/4.49 inference(transitivity,[status(thm)],[258, 1963, 1962, 1952, 108])).
% 4.32/4.49 tff(1965,plain,
% 4.32/4.49 (mult(mult(a, a), mult(b, c)) = mult(a, mult(mult(b, c), a))),
% 4.32/4.49 inference(unit_resolution,[status(thm)],[653, 1960])).
% 4.32/4.49 tff(1966,plain,
% 4.32/4.49 (mult(mult(a, a), mult(c, b)) = mult(mult(a, a), mult(b, c))),
% 4.32/4.49 inference(monotonicity,[status(thm)],[1941])).
% 4.32/4.49 tff(1967,plain,
% 4.32/4.49 ((mult(mult(mult(a, a), b), c) = mult(mult(a, a), mult(c, b))) <=> (mult(mult(mult(a, a), b), c) = mult(mult(a, a), mult(b, c)))),
% 4.32/4.49 inference(monotonicity,[status(thm)],[1966])).
% 4.32/4.49 tff(1968,plain,
% 4.32/4.49 ((mult(mult(mult(a, a), b), c) = mult(mult(a, a), mult(b, c))) <=> (mult(mult(mult(a, a), b), c) = mult(mult(a, a), mult(c, b)))),
% 4.32/4.49 inference(symmetry,[status(thm)],[1967])).
% 4.32/4.49 tff(1969,assumption,(~(mult(mult(mult(a, a), b), c) = mult(mult(a, a), mult(c, b)))), introduced(assumption)).
% 4.32/4.49 tff(1970,plain,
% 4.32/4.49 ((~(mult(mult(mult(a, a), b), c) = mult(mult(a, a), mult(c, b)))) | (~(mult(mult(mult(a, a), c), b) = mult(mult(a, a), mult(b, c))))),
% 4.32/4.49 inference(unit_resolution,[status(thm)],[326, 1969])).
% 4.32/4.49 tff(1971,plain,
% 4.32/4.49 (~((~(mult(mult(mult(a, a), b), c) = mult(mult(a, a), mult(b, c)))) | (~(mult(mult(mult(a, a), c), b) = mult(mult(a, a), mult(c, b)))))),
% 4.32/4.49 inference(unit_resolution,[status(thm)],[338, 1970])).
% 4.32/4.49 tff(1972,plain,
% 4.32/4.49 (mult(mult(mult(a, a), b), c) = mult(mult(a, a), mult(b, c))),
% 4.32/4.49 inference(unit_resolution,[status(thm)],[317, 1971])).
% 4.32/4.49 tff(1973,plain,
% 4.32/4.49 (mult(mult(mult(a, a), b), c) = mult(mult(a, a), mult(c, b))),
% 4.32/4.49 inference(modus_ponens,[status(thm)],[1972, 1968])).
% 4.32/4.49 tff(1974,plain,
% 4.32/4.49 ($false),
% 4.32/4.49 inference(unit_resolution,[status(thm)],[1969, 1973])).
% 4.32/4.49 tff(1975,plain,((mult(mult(mult(a, a), b), c) = mult(mult(a, a), mult(c, b))) | (~(mult(mult(a, b), c) = mult(a, mult(b, c)))) | (~(mult(mult(a, b), c) = mult(a, mult(c, b))))), inference(lemma,lemma(discharge,[]))).
% 4.32/4.49 tff(1976,plain,
% 4.32/4.49 (mult(mult(mult(a, a), b), c) = mult(mult(a, a), mult(c, b))),
% 4.32/4.49 inference(unit_resolution,[status(thm)],[1975, 59, 106])).
% 4.32/4.49 tff(1977,plain,
% 4.32/4.49 (mult(mult(a, a), b) = mult(a, mult(a, b))),
% 4.32/4.49 inference(unit_resolution,[status(thm)],[443, 1948])).
% 4.32/4.49 tff(1978,plain,
% 4.32/4.49 (mult(a, mult(a, b)) = mult(mult(a, a), b)),
% 4.32/4.49 inference(symmetry,[status(thm)],[1977])).
% 4.32/4.49 tff(1979,plain,
% 4.32/4.49 (mult(mult(a, mult(a, b)), c) = mult(mult(mult(a, a), b), c)),
% 4.32/4.49 inference(monotonicity,[status(thm)],[1978])).
% 4.32/4.49 tff(1980,plain,
% 4.32/4.49 (mult(mult(a, mult(a, b)), c) = mult(a, mult(b, mult(c, a)))),
% 4.32/4.49 inference(transitivity,[status(thm)],[1979, 1976, 1966, 1965, 103])).
% 4.32/4.49 tff(1981,plain,
% 4.32/4.49 ((mult(mult(a, mult(a, b)), c) = mult(a, mult(mult(a, b), c))) <=> (mult(a, mult(b, mult(c, a))) = mult(mult(mult(a, b), c), a))),
% 4.32/4.49 inference(monotonicity,[status(thm)],[1980, 1964])).
% 4.32/4.49 tff(1982,plain,
% 4.32/4.49 ((mult(a, mult(b, mult(c, a))) = mult(mult(mult(a, b), c), a)) <=> (mult(mult(a, mult(a, b)), c) = mult(a, mult(mult(a, b), c)))),
% 4.32/4.49 inference(symmetry,[status(thm)],[1981])).
% 4.32/4.49 tff(1983,plain,
% 4.32/4.49 ((~(mult(a, mult(b, mult(c, a))) = mult(mult(mult(a, b), c), a))) <=> (~(mult(mult(a, mult(a, b)), c) = mult(a, mult(mult(a, b), c))))),
% 4.32/4.49 inference(monotonicity,[status(thm)],[1982])).
% 4.32/4.49 tff(1984,plain,
% 4.32/4.49 (~(mult(mult(a, mult(a, b)), c) = mult(a, mult(mult(a, b), c)))),
% 4.32/4.49 inference(modus_ponens,[status(thm)],[194, 1983])).
% 4.32/4.49 tff(1985,plain,
% 4.32/4.49 (mult(a, mult(a, mult(b, c))) = mult(a, mult(a, mult(c, b)))),
% 4.32/4.49 inference(symmetry,[status(thm)],[1963])).
% 4.32/4.49 tff(1986,plain,
% 4.32/4.49 ((mult(mult(a, mult(b, c)), a) = mult(a, mult(a, mult(b, c)))) <=> (mult(mult(a, mult(c, b)), a) = mult(a, mult(a, mult(c, b))))),
% 4.32/4.49 inference(monotonicity,[status(thm)],[1952, 1985])).
% 4.32/4.49 tff(1987,plain,
% 4.32/4.49 (mult(mult(a, mult(c, b)), a) = mult(a, mult(a, mult(c, b)))),
% 4.32/4.49 inference(modus_ponens,[status(thm)],[1961, 1986])).
% 4.32/4.49 tff(1988,plain,
% 4.32/4.49 ((~(mult(mult(a, mult(a, b)), c) = mult(a, mult(mult(a, b), c)))) | (~(mult(mult(a, c), mult(a, b)) = mult(a, mult(c, mult(a, b)))))),
% 4.32/4.49 inference(unit_resolution,[status(thm)],[266, 1984])).
% 4.32/4.49 tff(1989,plain,
% 4.32/4.49 (~((~(mult(mult(a, mult(a, b)), c) = mult(a, mult(c, mult(a, b))))) | (~(mult(mult(a, c), mult(a, b)) = mult(a, mult(mult(a, b), c)))))),
% 4.32/4.49 inference(unit_resolution,[status(thm)],[292, 1988])).
% 4.32/4.49 tff(1990,plain,
% 4.32/4.49 (mult(mult(a, mult(a, b)), c) = mult(a, mult(c, mult(a, b)))),
% 4.32/4.49 inference(unit_resolution,[status(thm)],[287, 1989])).
% 4.32/4.49 tff(1991,plain,
% 4.32/4.49 (mult(c, mult(a, b)) = mult(mult(a, b), c)),
% 4.32/4.49 inference(transitivity,[status(thm)],[271, 210, 381, 114])).
% 4.32/4.49 tff(1992,plain,
% 4.32/4.49 (mult(a, mult(c, mult(a, b))) = mult(a, mult(mult(a, b), c))),
% 4.32/4.49 inference(monotonicity,[status(thm)],[1991])).
% 4.32/4.49 tff(1993,plain,
% 4.32/4.49 (mult(mult(a, mult(a, b)), c) = mult(a, mult(mult(a, b), c))),
% 4.32/4.49 inference(transitivity,[status(thm)],[269, 1992])).
% 4.32/4.49 tff(1994,assumption,(~(mult(mult(a, mult(a, b)), c) = mult(a, mult(mult(a, b), c)))), introduced(assumption)).
% 4.32/4.49 tff(1995,plain,
% 4.32/4.49 ($false),
% 4.32/4.49 inference(unit_resolution,[status(thm)],[1994, 1993])).
% 4.32/4.49 tff(1996,plain,((~(mult(mult(c, a), b) = mult(c, mult(a, b)))) | (mult(mult(a, mult(a, b)), c) = mult(a, mult(mult(a, b), c))) | (~(mult(mult(a, mult(a, b)), c) = mult(a, mult(c, mult(a, b))))) | (~(mult(mult(a, mult(c, b)), a) = mult(a, mult(a, mult(c, b))))) | (~(mult(mult(mult(a, b), c), a) = mult(mult(a, b), mult(c, a)))) | (~(mult(mult(a, b), c) = mult(a, mult(c, b))))), inference(lemma,lemma(discharge,[]))).
% 4.32/4.49 tff(1997,plain,
% 4.32/4.49 (~(mult(mult(mult(a, b), c), a) = mult(mult(a, b), mult(c, a)))),
% 4.32/4.49 inference(unit_resolution,[status(thm)],[1996, 1990, 268, 106, 1987, 1984])).
% 4.32/4.49 tff(1998,plain,
% 4.32/4.49 ((~(mult(mult(mult(a, b), a), c) = mult(mult(a, b), mult(a, c)))) | (~(mult(mult(mult(a, b), c), a) = mult(mult(a, b), mult(c, a))))),
% 4.32/4.49 inference(unit_resolution,[status(thm)],[185, 1997])).
% 4.32/4.49 tff(1999,plain,
% 4.32/4.49 (~((~(mult(mult(mult(a, b), a), c) = mult(mult(a, b), mult(c, a)))) | (~(mult(mult(mult(a, b), c), a) = mult(mult(a, b), mult(a, c)))))),
% 4.32/4.49 inference(unit_resolution,[status(thm)],[183, 1998])).
% 4.32/4.49 tff(2000,plain,
% 4.32/4.49 (mult(mult(mult(a, b), a), c) = mult(mult(a, b), mult(c, a))),
% 4.32/4.49 inference(unit_resolution,[status(thm)],[1690, 1999])).
% 4.32/4.49 tff(2001,plain,
% 4.32/4.49 (mult(mult(a, b), mult(c, a)) = mult(mult(mult(a, b), a), c)),
% 4.32/4.49 inference(symmetry,[status(thm)],[2000])).
% 4.32/4.49 tff(2002,plain,
% 4.32/4.49 (mult(mult(a, b), mult(c, a)) = mult(mult(a, mult(b, a)), c)),
% 4.32/4.49 inference(transitivity,[status(thm)],[2001, 1950])).
% 4.32/4.49 tff(2003,plain,
% 4.32/4.49 ((mult(mult(a, b), mult(c, a)) = mult(a, mult(b, mult(c, a)))) <=> (mult(mult(a, mult(b, a)), c) = mult(a, mult(c, mult(b, a))))),
% 4.32/4.49 inference(monotonicity,[status(thm)],[2002, 1945])).
% 4.32/4.49 tff(2004,plain,
% 4.32/4.49 ((mult(mult(a, mult(b, a)), c) = mult(a, mult(c, mult(b, a)))) <=> (mult(mult(a, b), mult(c, a)) = mult(a, mult(b, mult(c, a))))),
% 4.32/4.49 inference(symmetry,[status(thm)],[2003])).
% 4.32/4.49 tff(2005,plain,
% 4.32/4.49 ((~(mult(mult(a, mult(b, a)), c) = mult(a, mult(c, mult(b, a))))) <=> (~(mult(mult(a, b), mult(c, a)) = mult(a, mult(b, mult(c, a)))))),
% 4.32/4.49 inference(monotonicity,[status(thm)],[2004])).
% 4.32/4.49 tff(2006,plain,
% 4.32/4.49 (mult(mult(a, a), mult(c, b)) = mult(a, mult(mult(c, b), a))),
% 4.32/4.49 inference(transitivity,[status(thm)],[1966, 1965, 103, 1945, 1695])).
% 4.32/4.49 tff(2007,plain,
% 4.32/4.49 (mult(a, mult(b, a)) = mult(mult(a, b), a)),
% 4.32/4.49 inference(symmetry,[status(thm)],[1949])).
% 4.32/4.49 tff(2008,plain,
% 4.32/4.49 (mult(mult(a, mult(b, a)), c) = mult(mult(mult(a, b), a), c)),
% 4.32/4.49 inference(monotonicity,[status(thm)],[2007])).
% 4.32/4.49 tff(2009,assumption,(mult(mult(a, mult(b, a)), c) = mult(a, mult(c, mult(b, a)))), introduced(assumption)).
% 4.32/4.49 tff(2010,plain,
% 4.32/4.49 (mult(a, mult(c, mult(b, a))) = mult(mult(a, mult(b, a)), c)),
% 4.32/4.49 inference(symmetry,[status(thm)],[2009])).
% 4.32/4.49 tff(2011,plain,
% 4.32/4.49 (mult(mult(a, mult(a, b)), c) = mult(mult(mult(a, b), a), c)),
% 4.32/4.49 inference(transitivity,[status(thm)],[1979, 447, 1883, 1694, 2010, 2008])).
% 4.32/4.49 tff(2012,plain,
% 4.32/4.49 (rd(mult(mult(a, mult(a, b)), c), c) = rd(mult(mult(mult(a, b), a), c), c)),
% 4.32/4.49 inference(monotonicity,[status(thm)],[2011])).
% 4.32/4.49 tff(2013,plain,
% 4.32/4.49 (rd(mult(mult(mult(a, b), a), c), c) = rd(mult(mult(a, mult(a, b)), c), c)),
% 4.32/4.49 inference(symmetry,[status(thm)],[2012])).
% 4.32/4.49 tff(2014,plain,
% 4.32/4.49 ((~![B: $i, A: $i] : (rd(mult(A, B), B) = A)) | (rd(mult(mult(mult(a, b), a), c), c) = mult(mult(a, b), a))),
% 4.32/4.49 inference(quant_inst,[status(thm)],[])).
% 4.32/4.49 tff(2015,plain,
% 4.32/4.49 (rd(mult(mult(mult(a, b), a), c), c) = mult(mult(a, b), a)),
% 4.32/4.49 inference(unit_resolution,[status(thm)],[2014, 72])).
% 4.32/4.49 tff(2016,plain,
% 4.32/4.49 (mult(mult(a, b), a) = rd(mult(mult(mult(a, b), a), c), c)),
% 4.32/4.49 inference(symmetry,[status(thm)],[2015])).
% 4.32/4.49 tff(2017,plain,
% 4.32/4.49 (mult(mult(a, b), a) = mult(a, mult(a, b))),
% 4.32/4.49 inference(transitivity,[status(thm)],[2016, 2013, 1431])).
% 4.32/4.49 tff(2018,plain,
% 4.32/4.49 ($false),
% 4.32/4.49 inference(unit_resolution,[status(thm)],[1946, 2017])).
% 4.32/4.49 tff(2019,plain,((~(mult(mult(a, a), mult(c, b)) = mult(a, mult(mult(c, b), a)))) | (mult(mult(a, b), a) = mult(a, mult(a, b))) | (~(mult(mult(mult(a, a), b), c) = mult(mult(a, a), mult(c, b)))) | (~(mult(mult(a, mult(b, a)), c) = mult(a, mult(c, mult(b, a))))) | (~(mult(mult(c, b), a) = mult(c, mult(b, a))))), inference(lemma,lemma(discharge,[]))).
% 4.32/4.49 tff(2020,plain,
% 4.32/4.49 (~(mult(mult(a, mult(b, a)), c) = mult(a, mult(c, mult(b, a))))),
% 4.32/4.49 inference(unit_resolution,[status(thm)],[2019, 1946, 2006, 1976, 533])).
% 4.32/4.49 tff(2021,plain,
% 4.32/4.49 (~(mult(mult(a, b), mult(c, a)) = mult(a, mult(b, mult(c, a))))),
% 4.32/4.49 inference(modus_ponens,[status(thm)],[2020, 2005])).
% 4.32/4.49 tff(2022,plain,
% 4.32/4.49 ((~(mult(mult(a, b), mult(c, a)) = mult(a, mult(b, mult(c, a))))) | (~(mult(mult(a, mult(c, a)), b) = mult(a, mult(mult(c, a), b))))),
% 4.32/4.49 inference(unit_resolution,[status(thm)],[196, 2021])).
% 4.32/4.49 tff(2023,plain,
% 4.32/4.49 (mult(a, mult(c, mult(a, b))) = mult(mult(a, mult(a, b)), c)),
% 4.32/4.49 inference(symmetry,[status(thm)],[1990])).
% 4.32/4.49 tff(2024,plain,
% 4.32/4.49 (mult(a, mult(mult(c, a), b)) = mult(a, mult(c, mult(a, b)))),
% 4.32/4.49 inference(monotonicity,[status(thm)],[268])).
% 4.32/4.49 tff(2025,plain,
% 4.32/4.49 (mult(a, mult(mult(c, a), b)) = mult(a, mult(b, mult(c, a)))),
% 4.32/4.49 inference(transitivity,[status(thm)],[2024, 2023, 1979, 1976, 1966, 1965, 103])).
% 4.32/4.49 tff(2026,plain,
% 4.32/4.49 ((mult(mult(a, b), mult(c, a)) = mult(a, mult(mult(c, a), b))) <=> (mult(mult(a, b), mult(c, a)) = mult(a, mult(b, mult(c, a))))),
% 4.32/4.49 inference(monotonicity,[status(thm)],[2025])).
% 4.32/4.49 tff(2027,plain,
% 4.32/4.49 ((mult(mult(a, b), mult(c, a)) = mult(a, mult(b, mult(c, a)))) <=> (mult(mult(a, b), mult(c, a)) = mult(a, mult(mult(c, a), b)))),
% 4.32/4.49 inference(symmetry,[status(thm)],[2026])).
% 4.32/4.49 tff(2028,plain,
% 4.32/4.49 ((mult(mult(a, mult(b, a)), c) = mult(a, mult(c, mult(b, a)))) <=> (mult(mult(a, b), mult(c, a)) = mult(a, mult(mult(c, a), b)))),
% 4.32/4.49 inference(transitivity,[status(thm)],[2004, 2027])).
% 4.32/4.49 tff(2029,plain,
% 4.32/4.49 ((~(mult(mult(a, mult(b, a)), c) = mult(a, mult(c, mult(b, a))))) <=> (~(mult(mult(a, b), mult(c, a)) = mult(a, mult(mult(c, a), b))))),
% 4.32/4.49 inference(monotonicity,[status(thm)],[2028])).
% 4.32/4.49 tff(2030,plain,
% 4.32/4.49 (~(mult(mult(a, b), mult(c, a)) = mult(a, mult(mult(c, a), b)))),
% 4.32/4.49 inference(modus_ponens,[status(thm)],[2020, 2029])).
% 4.32/4.49 tff(2031,plain,
% 4.32/4.49 ((~(mult(mult(a, b), mult(c, a)) = mult(a, mult(mult(c, a), b)))) | (~(mult(mult(a, mult(c, a)), b) = mult(a, mult(b, mult(c, a)))))),
% 4.32/4.49 inference(unit_resolution,[status(thm)],[203, 2030])).
% 4.32/4.49 tff(2032,plain,
% 4.32/4.49 ($false),
% 4.32/4.49 inference(unit_resolution,[status(thm)],[201, 2031, 2022])).
% 4.32/4.49 tff(2033,plain,((mult(mult(a, b), a) = mult(a, mult(a, b))) | (~(mult(mult(c, b), a) = mult(c, mult(b, a)))) | (~(mult(mult(b, c), a) = mult(b, mult(c, a)))) | (~(mult(mult(a, b), c) = mult(a, mult(b, c)))) | (~(mult(mult(a, b), c) = mult(a, mult(c, b)))) | (~(mult(mult(c, a), b) = mult(c, mult(a, b))))), inference(lemma,lemma(discharge,[]))).
% 4.32/4.49 tff(2034,plain,
% 4.32/4.49 (mult(mult(a, b), a) = mult(a, mult(a, b))),
% 4.32/4.49 inference(unit_resolution,[status(thm)],[2033, 716, 37, 1931, 1921, 421])).
% 4.32/4.49 tff(2035,plain,
% 4.32/4.49 (mult(mult(mult(a, c), mult(a, b)), a) = mult(mult(a, c), mult(mult(a, b), a))),
% 4.32/4.49 inference(unit_resolution,[status(thm)],[1564, 2034])).
% 4.32/4.49 tff(2036,plain,
% 4.32/4.49 (mult(mult(mult(a, c), b), a) = mult(mult(a, c), mult(b, a))),
% 4.32/4.49 inference(unit_resolution,[status(thm)],[1542, 2035])).
% 4.32/4.49 tff(2037,plain,
% 4.32/4.49 (mult(a, mult(a, mult(c, b))) = mult(a, mult(a, mult(b, c)))),
% 4.32/4.49 inference(monotonicity,[status(thm)],[1933])).
% 4.32/4.49 tff(2038,plain,
% 4.32/4.49 (mult(a, mult(a, mult(b, c))) = mult(a, mult(a, mult(c, b)))),
% 4.32/4.49 inference(symmetry,[status(thm)],[2037])).
% 4.32/4.49 tff(2039,plain,
% 4.32/4.49 (mult(a, mult(b, c)) = mult(mult(a, b), c)),
% 4.32/4.49 inference(symmetry,[status(thm)],[1931])).
% 4.32/4.49 tff(2040,plain,
% 4.32/4.49 (mult(a, mult(b, c)) = mult(a, mult(c, b))),
% 4.32/4.49 inference(transitivity,[status(thm)],[2039, 1921])).
% 4.32/4.49 tff(2041,plain,
% 4.32/4.49 (mult(mult(a, mult(b, c)), a) = mult(mult(a, mult(c, b)), a)),
% 4.32/4.49 inference(monotonicity,[status(thm)],[2040])).
% 4.32/4.49 tff(2042,plain,
% 4.32/4.49 ((mult(mult(a, mult(b, c)), a) = mult(a, mult(a, mult(b, c)))) <=> (mult(mult(a, mult(c, b)), a) = mult(a, mult(a, mult(c, b))))),
% 4.32/4.49 inference(monotonicity,[status(thm)],[2041, 2038])).
% 4.32/4.49 tff(2043,plain,
% 4.32/4.49 (mult(a, mult(mult(b, c), a)) = mult(a, mult(b, mult(c, a)))),
% 4.32/4.49 inference(monotonicity,[status(thm)],[37])).
% 4.32/4.49 tff(2044,plain,
% 4.32/4.49 (mult(mult(mult(a, b), c), a) = mult(mult(a, mult(c, b)), a)),
% 4.32/4.49 inference(monotonicity,[status(thm)],[1921])).
% 4.32/4.49 tff(2045,plain,
% 4.32/4.49 (mult(mult(a, mult(c, b)), a) = mult(mult(mult(a, b), c), a)),
% 4.32/4.49 inference(symmetry,[status(thm)],[2044])).
% 4.32/4.49 tff(2046,plain,
% 4.32/4.49 (mult(mult(a, mult(b, c)), a) = mult(mult(mult(a, b), c), a)),
% 4.32/4.49 inference(transitivity,[status(thm)],[2041, 2045])).
% 4.32/4.49 tff(2047,plain,
% 4.32/4.49 ((mult(mult(a, mult(b, c)), a) = mult(a, mult(mult(b, c), a))) <=> (mult(mult(mult(a, b), c), a) = mult(a, mult(b, mult(c, a))))),
% 4.32/4.49 inference(monotonicity,[status(thm)],[2046, 2043])).
% 4.32/4.49 tff(2048,plain,
% 4.32/4.49 ((mult(mult(a, mult(b, c)), a) = mult(a, mult(mult(b, c), a))) <=> (mult(a, mult(b, mult(c, a))) = mult(mult(mult(a, b), c), a))),
% 4.32/4.49 inference(transitivity,[status(thm)],[2047, 15])).
% 4.32/4.49 tff(2049,plain,
% 4.32/4.49 ((mult(a, mult(b, mult(c, a))) = mult(mult(mult(a, b), c), a)) <=> (mult(mult(a, mult(b, c)), a) = mult(a, mult(mult(b, c), a)))),
% 4.32/4.49 inference(symmetry,[status(thm)],[2048])).
% 4.32/4.49 tff(2050,plain,
% 4.32/4.49 ((~(mult(a, mult(b, mult(c, a))) = mult(mult(mult(a, b), c), a))) <=> (~(mult(mult(a, mult(b, c)), a) = mult(a, mult(mult(b, c), a))))),
% 4.32/4.49 inference(monotonicity,[status(thm)],[2049])).
% 4.32/4.49 tff(2051,plain,
% 4.32/4.49 (~(mult(mult(a, mult(b, c)), a) = mult(a, mult(mult(b, c), a)))),
% 4.32/4.49 inference(modus_ponens,[status(thm)],[194, 2050])).
% 4.32/4.49 tff(2052,plain,
% 4.32/4.49 ((~(mult(mult(a, mult(b, c)), a) = mult(a, mult(mult(b, c), a)))) | (~(mult(mult(a, a), mult(b, c)) = mult(a, mult(a, mult(b, c)))))),
% 4.32/4.49 inference(unit_resolution,[status(thm)],[660, 2051])).
% 4.32/4.49 tff(2053,plain,
% 4.32/4.49 (~((~(mult(mult(a, mult(b, c)), a) = mult(a, mult(a, mult(b, c))))) | (~(mult(mult(a, a), mult(b, c)) = mult(a, mult(mult(b, c), a)))))),
% 4.32/4.49 inference(unit_resolution,[status(thm)],[658, 2052])).
% 4.32/4.49 tff(2054,plain,
% 4.32/4.49 (mult(mult(a, mult(b, c)), a) = mult(a, mult(a, mult(b, c)))),
% 4.32/4.49 inference(unit_resolution,[status(thm)],[786, 2053])).
% 4.32/4.49 tff(2055,plain,
% 4.32/4.49 (mult(mult(a, mult(c, b)), a) = mult(a, mult(a, mult(c, b)))),
% 4.32/4.49 inference(modus_ponens,[status(thm)],[2054, 2042])).
% 4.32/4.49 tff(2056,plain,
% 4.32/4.49 (mult(mult(mult(a, b), c), a) = mult(mult(a, b), mult(a, c))),
% 4.32/4.49 inference(unit_resolution,[status(thm)],[294, 2034, 1921, 421, 2055])).
% 4.32/4.50 tff(2057,plain,
% 4.32/4.50 (~(mult(mult(a, b), mult(a, c)) = mult(a, mult(b, mult(a, c))))),
% 4.32/4.50 inference(unit_resolution,[status(thm)],[981, 2056, 99, 1931, 2054, 40])).
% 4.32/4.50 tff(2058,plain,
% 4.32/4.50 (mult(a, mult(a, mult(c, b))) = mult(a, mult(mult(a, c), b))),
% 4.32/4.50 inference(symmetry,[status(thm)],[913])).
% 4.32/4.50 tff(2059,plain,
% 4.32/4.50 (mult(a, mult(b, mult(a, c))) = mult(a, mult(mult(a, c), b))),
% 4.32/4.50 inference(transitivity,[status(thm)],[1627, 512, 153, 958, 249, 2058])).
% 4.32/4.50 tff(2060,plain,
% 4.32/4.50 ((mult(mult(a, b), mult(a, c)) = mult(a, mult(b, mult(a, c)))) <=> (mult(mult(a, b), mult(a, c)) = mult(a, mult(mult(a, c), b)))),
% 4.32/4.50 inference(monotonicity,[status(thm)],[2059])).
% 4.32/4.50 tff(2061,plain,
% 4.32/4.50 ((mult(mult(a, b), mult(a, c)) = mult(a, mult(mult(a, c), b))) <=> (mult(mult(a, b), mult(a, c)) = mult(a, mult(b, mult(a, c))))),
% 4.32/4.50 inference(symmetry,[status(thm)],[2060])).
% 4.32/4.50 tff(2062,plain,
% 4.32/4.50 ((~(mult(mult(a, b), mult(a, c)) = mult(a, mult(b, mult(a, c))))) | (~(mult(mult(a, mult(a, c)), b) = mult(a, mult(mult(a, c), b))))),
% 4.32/4.50 inference(unit_resolution,[status(thm)],[1806, 1159])).
% 4.32/4.50 tff(2063,plain,
% 4.32/4.50 (~((~(mult(mult(a, b), mult(a, c)) = mult(a, mult(mult(a, c), b)))) | (~(mult(mult(a, mult(a, c)), b) = mult(a, mult(b, mult(a, c))))))),
% 4.32/4.50 inference(unit_resolution,[status(thm)],[1811, 2062])).
% 4.32/4.50 tff(2064,plain,
% 4.32/4.50 (mult(mult(a, b), mult(a, c)) = mult(a, mult(mult(a, c), b))),
% 4.32/4.50 inference(unit_resolution,[status(thm)],[1813, 2063])).
% 4.32/4.50 tff(2065,plain,
% 4.32/4.50 (mult(mult(a, b), mult(a, c)) = mult(a, mult(b, mult(a, c)))),
% 4.32/4.50 inference(modus_ponens,[status(thm)],[2064, 2061])).
% 4.32/4.50 tff(2066,plain,
% 4.32/4.50 ($false),
% 4.32/4.50 inference(unit_resolution,[status(thm)],[1159, 2065])).
% 4.32/4.50 tff(2067,plain,((mult(mult(a, b), mult(a, c)) = mult(a, mult(b, mult(a, c)))) | (~(mult(mult(a, c), mult(b, a)) = mult(a, mult(mult(b, a), c)))) | (~(mult(mult(mult(a, c), b), a) = mult(mult(a, c), mult(b, a)))) | (~(mult(mult(a, mult(c, b)), a) = mult(a, mult(a, mult(c, b))))) | (~(mult(mult(a, c), b) = mult(a, mult(c, b)))) | (~(mult(mult(b, a), c) = mult(b, mult(a, c))))), inference(lemma,lemma(discharge,[]))).
% 4.32/4.50 tff(2068,plain,
% 4.32/4.50 (~(mult(mult(a, c), mult(b, a)) = mult(a, mult(mult(b, a), c)))),
% 4.32/4.50 inference(unit_resolution,[status(thm)],[2067, 2057, 2055, 2036, 1786, 99])).
% 4.32/4.50 tff(2069,plain,
% 4.32/4.50 ((~(mult(mult(a, c), mult(b, a)) = mult(a, mult(mult(b, a), c)))) | (~(mult(mult(a, mult(b, a)), c) = mult(a, mult(c, mult(b, a)))))),
% 4.32/4.50 inference(unit_resolution,[status(thm)],[134, 2068])).
% 4.32/4.50 tff(2070,plain,
% 4.32/4.50 (~((~(mult(mult(a, c), mult(b, a)) = mult(a, mult(c, mult(b, a))))) | (~(mult(mult(a, mult(b, a)), c) = mult(a, mult(mult(b, a), c)))))),
% 4.32/4.50 inference(unit_resolution,[status(thm)],[132, 2069])).
% 4.32/4.50 tff(2071,plain,
% 4.32/4.50 (mult(mult(a, c), mult(b, a)) = mult(a, mult(c, mult(b, a)))),
% 4.32/4.50 inference(unit_resolution,[status(thm)],[120, 2070])).
% 4.32/4.50 tff(2072,plain,
% 4.32/4.50 (mult(mult(a, c), mult(b, a)) = mult(a, mult(b, mult(c, a)))),
% 4.32/4.50 inference(transitivity,[status(thm)],[2071, 1938])).
% 4.32/4.50 tff(2073,plain,
% 4.32/4.50 (mult(mult(mult(a, c), b), a) = mult(mult(a, mult(c, b)), a)),
% 4.32/4.50 inference(monotonicity,[status(thm)],[1786])).
% 4.32/4.50 tff(2074,plain,
% 4.32/4.50 (mult(mult(mult(a, c), b), a) = mult(mult(mult(a, b), c), a)),
% 4.32/4.50 inference(transitivity,[status(thm)],[2073, 2045])).
% 4.32/4.50 tff(2075,plain,
% 4.32/4.50 ((mult(mult(mult(a, c), b), a) = mult(mult(a, c), mult(b, a))) <=> (mult(mult(mult(a, b), c), a) = mult(a, mult(b, mult(c, a))))),
% 4.32/4.50 inference(monotonicity,[status(thm)],[2074, 2072])).
% 4.32/4.50 tff(2076,plain,
% 4.32/4.50 ((mult(mult(mult(a, c), b), a) = mult(mult(a, c), mult(b, a))) <=> (mult(a, mult(b, mult(c, a))) = mult(mult(mult(a, b), c), a))),
% 4.32/4.50 inference(transitivity,[status(thm)],[2075, 15])).
% 4.32/4.50 tff(2077,plain,
% 4.32/4.50 ((mult(a, mult(b, mult(c, a))) = mult(mult(mult(a, b), c), a)) <=> (mult(mult(mult(a, c), b), a) = mult(mult(a, c), mult(b, a)))),
% 4.32/4.50 inference(symmetry,[status(thm)],[2076])).
% 4.32/4.50 tff(2078,plain,
% 4.32/4.50 ((~(mult(a, mult(b, mult(c, a))) = mult(mult(mult(a, b), c), a))) <=> (~(mult(mult(mult(a, c), b), a) = mult(mult(a, c), mult(b, a))))),
% 4.32/4.50 inference(monotonicity,[status(thm)],[2077])).
% 4.32/4.50 tff(2079,plain,
% 4.32/4.50 (~(mult(mult(mult(a, c), b), a) = mult(mult(a, c), mult(b, a)))),
% 4.32/4.50 inference(modus_ponens,[status(thm)],[194, 2078])).
% 4.32/4.50 tff(2080,plain,
% 4.32/4.50 ($false),
% 4.32/4.50 inference(unit_resolution,[status(thm)],[2036, 2079])).
% 4.32/4.50 tff(2081,plain,((mult(mult(c, a), b) = mult(c, mult(b, a))) | (mult(mult(b, a), c) = mult(b, mult(c, a)))), inference(lemma,lemma(discharge,[]))).
% 4.32/4.50 tff(2082,plain,
% 4.32/4.50 (mult(mult(c, a), b) = mult(c, mult(b, a))),
% 4.32/4.50 inference(unit_resolution,[status(thm)],[2081, 14])).
% 4.32/4.50 tff(2083,plain,
% 4.32/4.50 (mult(a, mult(mult(c, a), b)) = mult(a, mult(c, mult(b, a)))),
% 4.32/4.50 inference(monotonicity,[status(thm)],[2082])).
% 4.32/4.50 tff(2084,plain,
% 4.32/4.50 (mult(a, mult(c, mult(b, a))) = mult(a, mult(mult(c, a), b))),
% 4.32/4.50 inference(symmetry,[status(thm)],[2083])).
% 4.32/4.50 tff(2085,plain,
% 4.32/4.50 (mult(mult(a, mult(b, c)), a) = mult(mult(mult(a, b), c), a)),
% 4.32/4.50 inference(monotonicity,[status(thm)],[1791])).
% 4.32/4.50 tff(2086,plain,
% 4.32/4.50 ((mult(mult(a, mult(b, c)), a) = mult(a, mult(mult(b, c), a))) <=> (mult(mult(mult(a, b), c), a) = mult(a, mult(b, mult(c, a))))),
% 4.32/4.50 inference(monotonicity,[status(thm)],[2085, 103])).
% 4.32/4.50 tff(2087,plain,
% 4.32/4.50 ((mult(mult(a, mult(b, c)), a) = mult(a, mult(mult(b, c), a))) <=> (mult(a, mult(b, mult(c, a))) = mult(mult(mult(a, b), c), a))),
% 4.32/4.50 inference(transitivity,[status(thm)],[2086, 15])).
% 4.32/4.50 tff(2088,plain,
% 4.32/4.50 ((mult(a, mult(b, mult(c, a))) = mult(mult(mult(a, b), c), a)) <=> (mult(mult(a, mult(b, c)), a) = mult(a, mult(mult(b, c), a)))),
% 4.32/4.50 inference(symmetry,[status(thm)],[2087])).
% 4.32/4.50 tff(2089,plain,
% 4.32/4.50 ((~(mult(a, mult(b, mult(c, a))) = mult(mult(mult(a, b), c), a))) <=> (~(mult(mult(a, mult(b, c)), a) = mult(a, mult(mult(b, c), a))))),
% 4.32/4.50 inference(monotonicity,[status(thm)],[2088])).
% 4.32/4.50 tff(2090,plain,
% 4.32/4.50 (~(mult(mult(a, mult(b, c)), a) = mult(a, mult(mult(b, c), a)))),
% 4.32/4.50 inference(modus_ponens,[status(thm)],[194, 2089])).
% 4.32/4.50 tff(2091,plain,
% 4.32/4.50 ((~(mult(mult(a, mult(b, c)), a) = mult(a, mult(mult(b, c), a)))) | (~(mult(mult(a, a), mult(b, c)) = mult(a, mult(a, mult(b, c)))))),
% 4.32/4.50 inference(unit_resolution,[status(thm)],[660, 2090])).
% 4.32/4.50 tff(2092,plain,
% 4.32/4.50 (~((~(mult(mult(a, mult(b, c)), a) = mult(a, mult(a, mult(b, c))))) | (~(mult(mult(a, a), mult(b, c)) = mult(a, mult(mult(b, c), a)))))),
% 4.32/4.50 inference(unit_resolution,[status(thm)],[658, 2091])).
% 4.32/4.50 tff(2093,plain,
% 4.32/4.50 (mult(mult(a, mult(b, c)), a) = mult(a, mult(a, mult(b, c)))),
% 4.32/4.50 inference(unit_resolution,[status(thm)],[786, 2092])).
% 4.32/4.50 tff(2094,plain,
% 4.32/4.50 (mult(mult(mult(a, b), c), a) = mult(mult(a, mult(b, c)), a)),
% 4.32/4.50 inference(symmetry,[status(thm)],[2085])).
% 4.32/4.50 tff(2095,assumption,(~(mult(b, mult(c, a)) = mult(b, mult(a, c)))), introduced(assumption)).
% 4.32/4.50 tff(2096,plain,
% 4.32/4.50 (mult(a, mult(c, mult(b, a))) = mult(a, mult(mult(c, a), b))),
% 4.32/4.50 inference(symmetry,[status(thm)],[352])).
% 4.32/4.50 tff(2097,assumption,(~(mult(mult(c, b), a) = mult(c, mult(a, b)))), introduced(assumption)).
% 4.32/4.50 tff(2098,plain,
% 4.32/4.50 ((~(mult(mult(c, b), a) = mult(c, mult(a, b)))) | (~(mult(mult(c, a), b) = mult(c, mult(b, a))))),
% 4.32/4.50 inference(unit_resolution,[status(thm)],[546, 2097])).
% 4.32/4.50 tff(2099,plain,
% 4.32/4.50 (~((~(mult(mult(c, b), a) = mult(c, mult(b, a)))) | (~(mult(mult(c, a), b) = mult(c, mult(a, b)))))),
% 4.32/4.50 inference(unit_resolution,[status(thm)],[301, 2098])).
% 4.32/4.50 tff(2100,plain,
% 4.32/4.50 (mult(mult(c, b), a) = mult(c, mult(b, a))),
% 4.32/4.50 inference(unit_resolution,[status(thm)],[543, 2099])).
% 4.32/4.50 tff(2101,plain,
% 4.32/4.50 (mult(c, mult(b, a)) = mult(mult(c, b), a)),
% 4.32/4.50 inference(symmetry,[status(thm)],[2100])).
% 4.32/4.50 tff(2102,plain,
% 4.32/4.50 (mult(mult(c, a), b) = mult(c, mult(a, b))),
% 4.32/4.50 inference(unit_resolution,[status(thm)],[296, 2099])).
% 4.32/4.50 tff(2103,plain,
% 4.32/4.50 ((mult(mult(c, a), b) = mult(c, mult(b, a))) <=> (mult(c, mult(a, b)) = mult(mult(c, b), a))),
% 4.32/4.50 inference(monotonicity,[status(thm)],[2102, 2101])).
% 4.32/4.50 tff(2104,plain,
% 4.32/4.50 ((mult(mult(c, a), b) = mult(c, mult(b, a))) <=> (mult(mult(c, b), a) = mult(c, mult(a, b)))),
% 4.32/4.50 inference(transitivity,[status(thm)],[2103, 1274])).
% 4.32/4.50 tff(2105,plain,
% 4.32/4.50 ((mult(mult(c, b), a) = mult(c, mult(a, b))) <=> (mult(mult(c, a), b) = mult(c, mult(b, a)))),
% 4.32/4.50 inference(symmetry,[status(thm)],[2104])).
% 4.32/4.50 tff(2106,plain,
% 4.32/4.50 ((~(mult(mult(c, b), a) = mult(c, mult(a, b)))) <=> (~(mult(mult(c, a), b) = mult(c, mult(b, a))))),
% 4.32/4.50 inference(monotonicity,[status(thm)],[2105])).
% 4.32/4.50 tff(2107,plain,
% 4.32/4.50 (~(mult(mult(c, a), b) = mult(c, mult(b, a)))),
% 4.32/4.50 inference(modus_ponens,[status(thm)],[2097, 2106])).
% 4.32/4.50 tff(2108,plain,
% 4.32/4.50 ($false),
% 4.32/4.50 inference(unit_resolution,[status(thm)],[342, 2107])).
% 4.32/4.50 tff(2109,plain,((mult(mult(c, b), a) = mult(c, mult(a, b))) | (~(mult(mult(c, a), b) = mult(c, mult(b, a))))), inference(lemma,lemma(discharge,[]))).
% 4.32/4.50 tff(2110,plain,
% 4.32/4.50 (mult(mult(c, b), a) = mult(c, mult(a, b))),
% 4.32/4.50 inference(unit_resolution,[status(thm)],[2109, 342])).
% 4.32/4.50 tff(2111,plain,
% 4.32/4.50 (mult(mult(a, c), b) = mult(a, mult(c, b))),
% 4.32/4.50 inference(unit_resolution,[status(thm)],[42, 1789])).
% 4.32/4.50 tff(2112,plain,
% 4.32/4.50 ((mult(mult(b, c), a) = mult(b, mult(a, c))) <=> (mult(b, mult(c, a)) = mult(b, mult(a, c)))),
% 4.32/4.50 inference(monotonicity,[status(thm)],[102])).
% 4.32/4.50 tff(2113,plain,
% 4.32/4.50 ((mult(b, mult(c, a)) = mult(b, mult(a, c))) <=> (mult(mult(b, c), a) = mult(b, mult(a, c)))),
% 4.32/4.50 inference(symmetry,[status(thm)],[2112])).
% 4.32/4.50 tff(2114,plain,
% 4.32/4.50 ((~(mult(b, mult(c, a)) = mult(b, mult(a, c)))) <=> (~(mult(mult(b, c), a) = mult(b, mult(a, c))))),
% 4.32/4.50 inference(monotonicity,[status(thm)],[2113])).
% 4.32/4.50 tff(2115,plain,
% 4.32/4.50 (~(mult(mult(b, c), a) = mult(b, mult(a, c)))),
% 4.32/4.50 inference(modus_ponens,[status(thm)],[2095, 2114])).
% 4.32/4.50 tff(2116,plain,
% 4.32/4.50 (mult(mult(a, mult(c, a)), b) = mult(a, mult(b, mult(c, a)))),
% 4.32/4.50 inference(unit_resolution,[status(thm)],[1524, 2115])).
% 4.32/4.50 tff(2117,plain,
% 4.32/4.50 (mult(mult(a, a), mult(b, c)) = mult(a, mult(mult(b, c), a))),
% 4.32/4.50 inference(unit_resolution,[status(thm)],[653, 2092])).
% 4.32/4.50 tff(2118,plain,
% 4.32/4.50 (mult(a, mult(mult(b, c), a)) = mult(mult(a, a), mult(b, c))),
% 4.32/4.50 inference(symmetry,[status(thm)],[2117])).
% 4.32/4.50 tff(2119,plain,
% 4.32/4.50 (mult(a, mult(b, mult(c, a))) = mult(mult(a, a), mult(b, c))),
% 4.32/4.50 inference(transitivity,[status(thm)],[1196, 2118])).
% 4.32/4.50 tff(2120,plain,
% 4.32/4.50 (mult(a, mult(c, b)) = mult(mult(a, c), b)),
% 4.32/4.50 inference(symmetry,[status(thm)],[2111])).
% 4.32/4.50 tff(2121,plain,
% 4.32/4.50 (mult(a, mult(a, mult(c, b))) = mult(a, mult(mult(a, c), b))),
% 4.32/4.50 inference(monotonicity,[status(thm)],[2120])).
% 4.32/4.50 tff(2122,plain,
% 4.32/4.50 (mult(a, mult(mult(a, c), b)) = mult(a, mult(a, mult(c, b)))),
% 4.32/4.50 inference(symmetry,[status(thm)],[2121])).
% 4.32/4.50 tff(2123,plain,
% 4.32/4.50 (~(mult(mult(a, b), mult(a, c)) = mult(a, mult(b, mult(a, c))))),
% 4.32/4.50 inference(unit_resolution,[status(thm)],[974, 168, 118, 1790, 116, 614])).
% 4.32/4.50 tff(2124,plain,
% 4.32/4.50 ((~(mult(mult(a, mult(a, c)), b) = mult(a, mult(mult(a, c), b)))) | (~(mult(mult(a, b), mult(a, c)) = mult(a, mult(b, mult(a, c)))))),
% 4.32/4.50 inference(unit_resolution,[status(thm)],[145, 2123])).
% 4.32/4.50 tff(2125,plain,
% 4.32/4.50 (~((~(mult(mult(a, mult(a, c)), b) = mult(a, mult(b, mult(a, c))))) | (~(mult(mult(a, b), mult(a, c)) = mult(a, mult(mult(a, c), b)))))),
% 4.32/4.50 inference(unit_resolution,[status(thm)],[143, 2124])).
% 4.32/4.50 tff(2126,plain,
% 4.32/4.50 (mult(mult(a, b), mult(a, c)) = mult(a, mult(mult(a, c), b))),
% 4.32/4.50 inference(unit_resolution,[status(thm)],[138, 2125])).
% 4.32/4.50 tff(2127,plain,
% 4.32/4.50 (mult(a, mult(mult(a, b), c)) = mult(a, mult(a, mult(c, b)))),
% 4.32/4.50 inference(transitivity,[status(thm)],[1793, 166, 1795, 168, 2126, 2122])).
% 4.32/4.50 tff(2128,plain,
% 4.32/4.50 (ld(a, mult(a, mult(mult(a, b), c))) = ld(a, mult(a, mult(a, mult(c, b))))),
% 4.32/4.50 inference(monotonicity,[status(thm)],[2127])).
% 4.32/4.50 tff(2129,plain,
% 4.32/4.50 (mult(mult(a, b), c) = mult(a, mult(c, b))),
% 4.32/4.50 inference(transitivity,[status(thm)],[561, 2128, 802])).
% 4.32/4.50 tff(2130,plain,
% 4.32/4.50 ($false),
% 4.32/4.50 inference(unit_resolution,[status(thm)],[1787, 2129])).
% 4.32/4.50 tff(2131,plain,((~(mult(mult(mult(a, b), c), a) = mult(mult(a, b), mult(a, c)))) | (mult(mult(a, b), c) = mult(a, mult(c, b))) | (~(mult(mult(a, mult(b, c)), a) = mult(a, mult(a, mult(b, c))))) | (~(mult(mult(b, a), c) = mult(b, mult(a, c)))) | (mult(mult(mult(a, c), b), a) = mult(mult(a, c), mult(b, a)))), inference(lemma,lemma(discharge,[]))).
% 4.32/4.50 tff(2132,plain,
% 4.32/4.50 (~(mult(mult(mult(a, b), c), a) = mult(mult(a, b), mult(a, c)))),
% 4.32/4.50 inference(unit_resolution,[status(thm)],[2131, 614, 2093, 118, 1787])).
% 4.32/4.50 tff(2133,plain,
% 4.32/4.50 ((~(mult(mult(mult(a, b), a), c) = mult(mult(a, b), mult(c, a)))) | (~(mult(mult(mult(a, b), c), a) = mult(mult(a, b), mult(a, c))))),
% 4.32/4.50 inference(unit_resolution,[status(thm)],[178, 2132])).
% 4.32/4.50 tff(2134,plain,
% 4.32/4.50 (~((~(mult(mult(mult(a, b), a), c) = mult(mult(a, b), mult(a, c)))) | (~(mult(mult(mult(a, b), c), a) = mult(mult(a, b), mult(c, a)))))),
% 4.32/4.50 inference(unit_resolution,[status(thm)],[183, 2133])).
% 4.32/4.50 tff(2135,plain,
% 4.32/4.50 (mult(mult(mult(a, b), c), a) = mult(mult(a, b), mult(c, a))),
% 4.32/4.50 inference(unit_resolution,[status(thm)],[185, 2134])).
% 4.32/4.50 tff(2136,plain,
% 4.32/4.50 (mult(mult(a, b), mult(c, a)) = mult(mult(mult(a, b), c), a)),
% 4.32/4.50 inference(symmetry,[status(thm)],[2135])).
% 4.32/4.50 tff(2137,plain,
% 4.32/4.50 (mult(mult(a, b), mult(c, a)) = mult(a, mult(a, mult(b, c)))),
% 4.32/4.50 inference(transitivity,[status(thm)],[2136, 2094, 2093])).
% 4.32/4.50 tff(2138,plain,
% 4.32/4.50 ((mult(mult(a, b), mult(c, a)) = mult(a, mult(b, mult(c, a)))) <=> (mult(a, mult(a, mult(b, c))) = mult(mult(a, a), mult(b, c)))),
% 4.32/4.50 inference(monotonicity,[status(thm)],[2137, 2119])).
% 4.32/4.50 tff(2139,plain,
% 4.32/4.50 ((mult(mult(a, b), mult(c, a)) = mult(a, mult(b, mult(c, a)))) <=> (mult(mult(a, a), mult(b, c)) = mult(a, mult(a, mult(b, c))))),
% 4.32/4.50 inference(transitivity,[status(thm)],[2138, 1824])).
% 4.32/4.50 tff(2140,plain,
% 4.32/4.50 ((mult(mult(a, a), mult(b, c)) = mult(a, mult(a, mult(b, c)))) <=> (mult(mult(a, b), mult(c, a)) = mult(a, mult(b, mult(c, a))))),
% 4.32/4.50 inference(symmetry,[status(thm)],[2139])).
% 4.32/4.50 tff(2141,plain,
% 4.32/4.50 ((~(mult(mult(a, a), mult(b, c)) = mult(a, mult(a, mult(b, c))))) <=> (~(mult(mult(a, b), mult(c, a)) = mult(a, mult(b, mult(c, a)))))),
% 4.32/4.50 inference(monotonicity,[status(thm)],[2140])).
% 4.32/4.50 tff(2142,plain,
% 4.32/4.50 (~(mult(mult(a, a), mult(b, c)) = mult(a, mult(a, mult(b, c))))),
% 4.32/4.50 inference(unit_resolution,[status(thm)],[1847, 2090])).
% 4.32/4.50 tff(2143,plain,
% 4.32/4.50 (~(mult(mult(a, b), mult(c, a)) = mult(a, mult(b, mult(c, a))))),
% 4.32/4.50 inference(modus_ponens,[status(thm)],[2142, 2141])).
% 4.32/4.50 tff(2144,plain,
% 4.32/4.50 ((~(mult(mult(a, b), mult(c, a)) = mult(a, mult(b, mult(c, a))))) | (~(mult(mult(a, mult(c, a)), b) = mult(a, mult(mult(c, a), b))))),
% 4.32/4.50 inference(unit_resolution,[status(thm)],[196, 2143])).
% 4.32/4.50 tff(2145,plain,
% 4.32/4.50 (~((~(mult(mult(a, b), mult(c, a)) = mult(a, mult(mult(c, a), b)))) | (~(mult(mult(a, mult(c, a)), b) = mult(a, mult(b, mult(c, a))))))),
% 4.32/4.50 inference(unit_resolution,[status(thm)],[201, 2144])).
% 4.32/4.50 tff(2146,plain,
% 4.32/4.50 (mult(mult(a, b), mult(c, a)) = mult(a, mult(mult(c, a), b))),
% 4.32/4.50 inference(unit_resolution,[status(thm)],[203, 2145])).
% 4.32/4.50 tff(2147,plain,
% 4.32/4.50 (mult(a, mult(a, mult(b, c))) = mult(mult(a, mult(b, c)), a)),
% 4.32/4.50 inference(symmetry,[status(thm)],[2093])).
% 4.32/4.50 tff(2148,plain,
% 4.32/4.50 (mult(a, mult(mult(a, b), c)) = mult(a, mult(a, mult(b, c)))),
% 4.32/4.50 inference(monotonicity,[status(thm)],[1790])).
% 4.32/4.50 tff(2149,plain,
% 4.32/4.50 (mult(a, mult(b, a)) = mult(mult(a, b), a)),
% 4.32/4.50 inference(symmetry,[status(thm)],[219])).
% 4.32/4.50 tff(2150,plain,
% 4.32/4.50 (mult(mult(a, mult(b, a)), c) = mult(mult(mult(a, b), a), c)),
% 4.32/4.50 inference(monotonicity,[status(thm)],[2149])).
% 4.32/4.50 tff(2151,plain,
% 4.32/4.50 (mult(mult(mult(a, b), c), a) = mult(mult(a, b), mult(a, c))),
% 4.32/4.50 inference(transitivity,[status(thm)],[275, 282, 352, 2010, 2150, 253])).
% 4.32/4.50 tff(2152,plain,
% 4.32/4.50 ($false),
% 4.32/4.50 inference(unit_resolution,[status(thm)],[248, 2151])).
% 4.32/4.50 tff(2153,plain,((~(mult(mult(c, a), b) = mult(c, mult(b, a)))) | (mult(mult(mult(a, b), c), a) = mult(mult(a, b), mult(a, c))) | (~(mult(mult(a, mult(b, a)), c) = mult(a, mult(c, mult(b, a))))) | (~(mult(mult(a, b), a) = mult(a, mult(b, a))))), inference(lemma,lemma(discharge,[]))).
% 4.32/4.50 tff(2154,plain,
% 4.32/4.50 (~(mult(mult(a, mult(b, a)), c) = mult(a, mult(c, mult(b, a))))),
% 4.32/4.50 inference(unit_resolution,[status(thm)],[2153, 2132, 342, 1568])).
% 4.32/4.50 tff(2155,plain,
% 4.32/4.50 ((~(mult(mult(a, c), mult(b, a)) = mult(a, mult(mult(b, a), c)))) | (~(mult(mult(a, mult(b, a)), c) = mult(a, mult(c, mult(b, a)))))),
% 4.32/4.50 inference(unit_resolution,[status(thm)],[217, 2154])).
% 4.32/4.50 tff(2156,plain,
% 4.32/4.50 (~((~(mult(mult(a, c), mult(b, a)) = mult(a, mult(c, mult(b, a))))) | (~(mult(mult(a, mult(b, a)), c) = mult(a, mult(mult(b, a), c)))))),
% 4.32/4.51 inference(unit_resolution,[status(thm)],[132, 2155])).
% 4.32/4.51 tff(2157,plain,
% 4.32/4.51 (mult(mult(a, c), mult(b, a)) = mult(a, mult(c, mult(b, a)))),
% 4.32/4.51 inference(unit_resolution,[status(thm)],[120, 2156])).
% 4.32/4.51 tff(2158,plain,
% 4.32/4.51 (mult(a, mult(c, mult(b, a))) = mult(mult(a, c), mult(b, a))),
% 4.32/4.51 inference(symmetry,[status(thm)],[2157])).
% 4.32/4.51 tff(2159,plain,
% 4.32/4.51 (mult(a, mult(mult(a, b), c)) = mult(mult(a, c), mult(b, a))),
% 4.32/4.51 inference(transitivity,[status(thm)],[2148, 2147, 2085, 2135, 2146, 352, 2158])).
% 4.32/4.51 tff(2160,plain,
% 4.32/4.51 (mult(mult(a, c), mult(a, b)) = mult(mult(mult(a, c), b), a)),
% 4.32/4.51 inference(symmetry,[status(thm)],[971])).
% 4.32/4.51 tff(2161,plain,
% 4.32/4.51 ((mult(mult(a, c), mult(a, b)) = mult(a, mult(mult(a, b), c))) <=> (mult(mult(mult(a, c), b), a) = mult(mult(a, c), mult(b, a)))),
% 4.32/4.51 inference(monotonicity,[status(thm)],[2160, 2159])).
% 4.32/4.51 tff(2162,plain,
% 4.32/4.51 ((mult(mult(mult(a, c), b), a) = mult(mult(a, c), mult(b, a))) <=> (mult(mult(a, c), mult(a, b)) = mult(a, mult(mult(a, b), c)))),
% 4.32/4.51 inference(symmetry,[status(thm)],[2161])).
% 4.32/4.51 tff(2163,plain,
% 4.32/4.51 ((~(mult(mult(mult(a, c), b), a) = mult(mult(a, c), mult(b, a)))) <=> (~(mult(mult(a, c), mult(a, b)) = mult(a, mult(mult(a, b), c))))),
% 4.32/4.51 inference(monotonicity,[status(thm)],[2162])).
% 4.32/4.51 tff(2164,plain,
% 4.32/4.51 (~(mult(mult(a, c), mult(a, b)) = mult(a, mult(mult(a, b), c)))),
% 4.32/4.51 inference(modus_ponens,[status(thm)],[614, 2163])).
% 4.32/4.51 tff(2165,plain,
% 4.32/4.51 ((~(mult(mult(a, mult(a, b)), c) = mult(a, mult(c, mult(a, b))))) | (~(mult(mult(a, c), mult(a, b)) = mult(a, mult(mult(a, b), c))))),
% 4.32/4.51 inference(unit_resolution,[status(thm)],[601, 2164])).
% 4.32/4.51 tff(2166,plain,
% 4.32/4.51 (~((~(mult(mult(a, mult(a, b)), c) = mult(a, mult(mult(a, b), c)))) | (~(mult(mult(a, c), mult(a, b)) = mult(a, mult(c, mult(a, b))))))),
% 4.32/4.51 inference(unit_resolution,[status(thm)],[292, 2165])).
% 4.32/4.51 tff(2167,plain,
% 4.32/4.51 (mult(mult(a, mult(a, b)), c) = mult(a, mult(mult(a, b), c))),
% 4.32/4.51 inference(unit_resolution,[status(thm)],[266, 2166])).
% 4.32/4.51 tff(2168,plain,
% 4.32/4.51 (mult(mult(a, a), b) = mult(a, mult(a, b))),
% 4.32/4.51 inference(unit_resolution,[status(thm)],[443, 1567])).
% 4.32/4.51 tff(2169,plain,
% 4.32/4.51 (mult(mult(mult(a, a), b), c) = mult(mult(a, mult(a, b)), c)),
% 4.32/4.51 inference(monotonicity,[status(thm)],[2168])).
% 4.32/4.51 tff(2170,plain,
% 4.32/4.51 ((mult(a, mult(mult(c, a), b)) = mult(mult(a, mult(c, a)), b)) <=> (mult(mult(a, mult(c, a)), b) = mult(a, mult(mult(c, a), b)))),
% 4.32/4.51 inference(commutativity,[status(thm)],[])).
% 4.32/4.51 tff(2171,plain,
% 4.32/4.51 (mult(mult(a, a), mult(b, c)) = mult(mult(a, mult(c, a)), b)),
% 4.32/4.51 inference(transitivity,[status(thm)],[2117, 103, 1737])).
% 4.32/4.51 tff(2172,plain,
% 4.32/4.51 (mult(mult(mult(a, a), b), c) = mult(a, mult(mult(c, a), b))),
% 4.32/4.51 inference(transitivity,[status(thm)],[2169, 2167, 2148, 2147, 2085, 2135, 2146])).
% 4.32/4.51 tff(2173,plain,
% 4.32/4.51 ((mult(mult(mult(a, a), b), c) = mult(mult(a, a), mult(b, c))) <=> (mult(a, mult(mult(c, a), b)) = mult(mult(a, mult(c, a)), b))),
% 4.32/4.51 inference(monotonicity,[status(thm)],[2172, 2171])).
% 4.32/4.51 tff(2174,plain,
% 4.32/4.51 ((mult(mult(mult(a, a), b), c) = mult(mult(a, a), mult(b, c))) <=> (mult(mult(a, mult(c, a)), b) = mult(a, mult(mult(c, a), b)))),
% 4.32/4.51 inference(transitivity,[status(thm)],[2173, 2170])).
% 4.32/4.51 tff(2175,plain,
% 4.32/4.51 ((mult(mult(a, mult(c, a)), b) = mult(a, mult(mult(c, a), b))) <=> (mult(mult(mult(a, a), b), c) = mult(mult(a, a), mult(b, c)))),
% 4.32/4.51 inference(symmetry,[status(thm)],[2174])).
% 4.32/4.51 tff(2176,plain,
% 4.32/4.51 ((~(mult(mult(a, mult(c, a)), b) = mult(a, mult(mult(c, a), b)))) <=> (~(mult(mult(mult(a, a), b), c) = mult(mult(a, a), mult(b, c))))),
% 4.32/4.51 inference(monotonicity,[status(thm)],[2175])).
% 4.32/4.51 tff(2177,plain,
% 4.32/4.51 (mult(a, mult(mult(c, a), b)) = mult(mult(a, b), mult(c, a))),
% 4.32/4.51 inference(symmetry,[status(thm)],[2146])).
% 4.32/4.51 tff(2178,plain,
% 4.32/4.51 (mult(a, mult(mult(c, a), b)) = mult(a, mult(a, mult(b, c)))),
% 4.32/4.51 inference(transitivity,[status(thm)],[2177, 2136, 2094, 2093])).
% 4.32/4.51 tff(2179,plain,
% 4.32/4.51 (mult(mult(a, mult(c, a)), b) = mult(mult(a, a), mult(b, c))),
% 4.32/4.51 inference(transitivity,[status(thm)],[1736, 1196, 2118])).
% 4.32/4.51 tff(2180,plain,
% 4.32/4.51 ((mult(mult(a, mult(c, a)), b) = mult(a, mult(mult(c, a), b))) <=> (mult(mult(a, a), mult(b, c)) = mult(a, mult(a, mult(b, c))))),
% 4.32/4.51 inference(monotonicity,[status(thm)],[2179, 2178])).
% 4.32/4.51 tff(2181,plain,
% 4.32/4.51 ((mult(mult(a, a), mult(b, c)) = mult(a, mult(a, mult(b, c)))) <=> (mult(mult(a, mult(c, a)), b) = mult(a, mult(mult(c, a), b)))),
% 4.32/4.51 inference(symmetry,[status(thm)],[2180])).
% 4.32/4.51 tff(2182,plain,
% 4.32/4.51 ((~(mult(mult(a, a), mult(b, c)) = mult(a, mult(a, mult(b, c))))) <=> (~(mult(mult(a, mult(c, a)), b) = mult(a, mult(mult(c, a), b))))),
% 4.32/4.51 inference(monotonicity,[status(thm)],[2181])).
% 4.32/4.51 tff(2183,plain,
% 4.32/4.51 (~(mult(mult(a, mult(c, a)), b) = mult(a, mult(mult(c, a), b)))),
% 4.32/4.51 inference(modus_ponens,[status(thm)],[2142, 2182])).
% 4.32/4.51 tff(2184,plain,
% 4.32/4.51 (~(mult(mult(mult(a, a), b), c) = mult(mult(a, a), mult(b, c)))),
% 4.32/4.51 inference(modus_ponens,[status(thm)],[2183, 2176])).
% 4.32/4.51 tff(2185,plain,
% 4.32/4.51 ((~(mult(mult(mult(a, a), b), c) = mult(mult(a, a), mult(b, c)))) | (~(mult(mult(mult(a, a), c), b) = mult(mult(a, a), mult(c, b))))),
% 4.32/4.51 inference(unit_resolution,[status(thm)],[317, 2184])).
% 4.32/4.51 tff(2186,plain,
% 4.32/4.51 (~((~(mult(mult(mult(a, a), b), c) = mult(mult(a, a), mult(c, b)))) | (~(mult(mult(mult(a, a), c), b) = mult(mult(a, a), mult(b, c)))))),
% 4.32/4.51 inference(unit_resolution,[status(thm)],[338, 2185])).
% 4.32/4.51 tff(2187,plain,
% 4.32/4.51 (mult(mult(mult(a, a), b), c) = mult(mult(a, a), mult(c, b))),
% 4.32/4.51 inference(unit_resolution,[status(thm)],[326, 2186])).
% 4.32/4.51 tff(2188,plain,
% 4.32/4.51 (mult(mult(a, a), mult(c, b)) = mult(mult(mult(a, a), b), c)),
% 4.32/4.51 inference(symmetry,[status(thm)],[2187])).
% 4.32/4.51 tff(2189,plain,
% 4.32/4.51 ((mult(a, mult(c, b)) = mult(mult(a, b), c)) <=> (mult(mult(a, b), c) = mult(a, mult(c, b)))),
% 4.32/4.51 inference(commutativity,[status(thm)],[])).
% 4.32/4.51 tff(2190,plain,
% 4.32/4.51 ((mult(mult(a, c), b) = mult(a, mult(b, c))) <=> (mult(a, mult(c, b)) = mult(mult(a, b), c))),
% 4.32/4.51 inference(monotonicity,[status(thm)],[2111, 1791])).
% 4.32/4.51 tff(2191,plain,
% 4.32/4.51 ((mult(mult(a, c), b) = mult(a, mult(b, c))) <=> (mult(mult(a, b), c) = mult(a, mult(c, b)))),
% 4.32/4.51 inference(transitivity,[status(thm)],[2190, 2189])).
% 4.32/4.51 tff(2192,plain,
% 4.32/4.51 ((mult(mult(a, b), c) = mult(a, mult(c, b))) <=> (mult(mult(a, c), b) = mult(a, mult(b, c)))),
% 4.32/4.51 inference(symmetry,[status(thm)],[2191])).
% 4.32/4.51 tff(2193,plain,
% 4.32/4.51 ((~(mult(mult(a, b), c) = mult(a, mult(c, b)))) <=> (~(mult(mult(a, c), b) = mult(a, mult(b, c))))),
% 4.32/4.51 inference(monotonicity,[status(thm)],[2192])).
% 4.32/4.51 tff(2194,plain,
% 4.32/4.51 (~(mult(mult(a, c), b) = mult(a, mult(b, c)))),
% 4.32/4.51 inference(modus_ponens,[status(thm)],[1787, 2193])).
% 4.32/4.51 tff(2195,plain,
% 4.32/4.51 (mult(mult(a, mult(c, b)), a) = mult(mult(mult(a, c), b), a)),
% 4.32/4.51 inference(monotonicity,[status(thm)],[797])).
% 4.32/4.51 tff(2196,plain,
% 4.32/4.51 (mult(mult(mult(a, c), b), a) = mult(mult(a, mult(c, b)), a)),
% 4.32/4.51 inference(symmetry,[status(thm)],[2195])).
% 4.32/4.51 tff(2197,plain,
% 4.32/4.51 (mult(a, mult(mult(c, b), a)) = mult(a, mult(c, mult(a, b)))),
% 4.32/4.51 inference(monotonicity,[status(thm)],[1110])).
% 4.32/4.51 tff(2198,plain,
% 4.32/4.51 (mult(a, mult(c, mult(a, b))) = mult(a, mult(mult(c, b), a))),
% 4.32/4.51 inference(symmetry,[status(thm)],[2197])).
% 4.32/4.51 tff(2199,plain,
% 4.32/4.51 (mult(mult(a, c), mult(a, b)) = mult(mult(a, mult(c, b)), a)),
% 4.32/4.51 inference(transitivity,[status(thm)],[1106, 2196])).
% 4.32/4.51 tff(2200,plain,
% 4.32/4.51 ((mult(mult(a, c), mult(a, b)) = mult(a, mult(c, mult(a, b)))) <=> (mult(mult(a, mult(c, b)), a) = mult(a, mult(mult(c, b), a)))),
% 4.32/4.51 inference(monotonicity,[status(thm)],[2199, 2198])).
% 4.32/4.51 tff(2201,plain,
% 4.32/4.51 ((mult(mult(a, mult(c, b)), a) = mult(a, mult(mult(c, b), a))) <=> (mult(mult(a, c), mult(a, b)) = mult(a, mult(c, mult(a, b))))),
% 4.32/4.51 inference(symmetry,[status(thm)],[2200])).
% 4.32/4.51 tff(2202,plain,
% 4.32/4.51 ((~(mult(mult(a, mult(c, b)), a) = mult(a, mult(mult(c, b), a)))) <=> (~(mult(mult(a, c), mult(a, b)) = mult(a, mult(c, mult(a, b)))))),
% 4.32/4.51 inference(monotonicity,[status(thm)],[2201])).
% 4.32/4.51 tff(2203,plain,
% 4.32/4.51 (~(mult(mult(a, c), mult(a, b)) = mult(a, mult(c, mult(a, b))))),
% 4.32/4.51 inference(modus_ponens,[status(thm)],[78, 2202])).
% 4.32/4.51 tff(2204,plain,
% 4.32/4.51 ((~(mult(mult(a, mult(a, b)), c) = mult(a, mult(mult(a, b), c)))) | (~(mult(mult(a, c), mult(a, b)) = mult(a, mult(c, mult(a, b)))))),
% 4.32/4.51 inference(unit_resolution,[status(thm)],[604, 2203])).
% 4.32/4.51 tff(2205,plain,
% 4.32/4.51 (~((~(mult(mult(a, mult(a, b)), c) = mult(a, mult(c, mult(a, b))))) | (~(mult(mult(a, c), mult(a, b)) = mult(a, mult(mult(a, b), c)))))),
% 4.32/4.51 inference(unit_resolution,[status(thm)],[292, 2204])).
% 4.32/4.51 tff(2206,plain,
% 4.32/4.51 (mult(mult(a, c), mult(a, b)) = mult(a, mult(mult(a, b), c))),
% 4.32/4.51 inference(unit_resolution,[status(thm)],[601, 2205])).
% 4.32/4.51 tff(2207,plain,
% 4.32/4.51 (mult(a, mult(mult(a, b), c)) = mult(mult(a, c), mult(a, b))),
% 4.32/4.51 inference(symmetry,[status(thm)],[2206])).
% 4.32/4.51 tff(2208,plain,
% 4.32/4.51 (mult(a, mult(mult(a, b), c)) = mult(a, mult(mult(a, c), b))),
% 4.32/4.51 inference(transitivity,[status(thm)],[2207, 1106, 2196, 89, 2058])).
% 4.32/4.51 tff(2209,plain,
% 4.32/4.51 (ld(a, mult(a, mult(mult(a, b), c))) = ld(a, mult(a, mult(mult(a, c), b)))),
% 4.32/4.51 inference(monotonicity,[status(thm)],[2208])).
% 4.32/4.51 tff(2210,plain,
% 4.32/4.51 (ld(a, mult(a, mult(mult(a, c), b))) = ld(a, mult(a, mult(mult(a, b), c)))),
% 4.32/4.51 inference(symmetry,[status(thm)],[2209])).
% 4.32/4.51 tff(2211,plain,
% 4.32/4.51 ((~![B: $i, A: $i] : (ld(A, mult(A, B)) = B)) | (ld(a, mult(a, mult(mult(a, c), b))) = mult(mult(a, c), b))),
% 4.32/4.51 inference(quant_inst,[status(thm)],[])).
% 4.32/4.51 tff(2212,plain,
% 4.32/4.51 (ld(a, mult(a, mult(mult(a, c), b))) = mult(mult(a, c), b)),
% 4.32/4.51 inference(unit_resolution,[status(thm)],[2211, 9])).
% 4.32/4.51 tff(2213,plain,
% 4.32/4.51 (mult(mult(a, c), b) = ld(a, mult(a, mult(mult(a, c), b)))),
% 4.32/4.51 inference(symmetry,[status(thm)],[2212])).
% 4.32/4.51 tff(2214,plain,
% 4.32/4.51 (mult(mult(a, c), b) = mult(a, mult(b, c))),
% 4.32/4.51 inference(transitivity,[status(thm)],[2213, 2210, 114, 59])).
% 4.32/4.51 tff(2215,assumption,(~(mult(mult(a, c), b) = mult(a, mult(b, c)))), introduced(assumption)).
% 4.32/4.51 tff(2216,plain,
% 4.32/4.51 ($false),
% 4.32/4.51 inference(unit_resolution,[status(thm)],[2215, 2214])).
% 4.32/4.51 tff(2217,plain,((~(mult(mult(mult(a, c), b), a) = mult(mult(a, c), mult(a, b)))) | (mult(mult(a, c), b) = mult(a, mult(b, c))) | (~(mult(mult(a, b), c) = mult(a, mult(b, c)))) | (~(mult(mult(a, c), b) = mult(a, mult(c, b)))) | (mult(mult(a, mult(c, b)), a) = mult(a, mult(mult(c, b), a))) | (~(mult(mult(c, b), a) = mult(c, mult(a, b))))), inference(lemma,lemma(discharge,[]))).
% 4.32/4.51 tff(2218,plain,
% 4.32/4.51 (mult(mult(a, mult(c, b)), a) = mult(a, mult(mult(c, b), a))),
% 4.32/4.51 inference(unit_resolution,[status(thm)],[2217, 971, 2110, 2111, 1790, 2194])).
% 4.32/4.51 tff(2219,plain,
% 4.32/4.51 (mult(mult(a, a), mult(c, b)) = mult(a, mult(a, mult(c, b)))),
% 4.32/4.51 inference(unit_resolution,[status(thm)],[1580, 2218])).
% 4.32/4.51 tff(2220,plain,
% 4.32/4.51 (mult(a, mult(a, mult(c, b))) = mult(mult(a, a), mult(c, b))),
% 4.32/4.51 inference(symmetry,[status(thm)],[2219])).
% 4.32/4.51 tff(2221,plain,
% 4.32/4.51 (mult(a, mult(a, mult(c, b))) = mult(a, mult(mult(c, a), b))),
% 4.32/4.51 inference(transitivity,[status(thm)],[2220, 2188, 2169, 2167, 2148, 2147, 2085, 2135, 2146])).
% 4.32/4.51 tff(2222,plain,
% 4.32/4.51 (ld(a, mult(a, mult(a, mult(c, b)))) = ld(a, mult(a, mult(mult(c, a), b)))),
% 4.32/4.51 inference(monotonicity,[status(thm)],[2221])).
% 4.32/4.51 tff(2223,plain,
% 4.32/4.51 (ld(a, mult(a, mult(mult(c, a), b))) = ld(a, mult(a, mult(a, mult(c, b))))),
% 4.32/4.51 inference(symmetry,[status(thm)],[2222])).
% 4.32/4.51 tff(2224,plain,
% 4.32/4.51 (mult(a, mult(mult(a, b), c)) = mult(a, mult(mult(c, a), b))),
% 4.32/4.51 inference(transitivity,[status(thm)],[2148, 2147, 2085, 2135, 2146])).
% 4.32/4.51 tff(2225,plain,
% 4.32/4.51 (ld(a, mult(a, mult(mult(a, b), c))) = ld(a, mult(a, mult(mult(c, a), b)))),
% 4.32/4.51 inference(monotonicity,[status(thm)],[2224])).
% 4.32/4.51 tff(2226,plain,
% 4.32/4.51 (mult(mult(a, b), c) = mult(a, mult(c, b))),
% 4.32/4.51 inference(transitivity,[status(thm)],[561, 2225, 2223, 802])).
% 4.32/4.51 tff(2227,plain,
% 4.32/4.51 ($false),
% 4.32/4.51 inference(unit_resolution,[status(thm)],[1787, 2226])).
% 4.32/4.51 tff(2228,plain,((mult(mult(mult(a, c), b), a) = mult(mult(a, c), mult(b, a))) | (mult(mult(a, b), c) = mult(a, mult(c, b))) | (~(mult(mult(a, mult(c, a)), b) = mult(a, mult(b, mult(c, a))))) | (~(mult(mult(b, c), a) = mult(b, mult(c, a)))) | (~(mult(mult(c, a), b) = mult(c, mult(b, a)))) | (~(mult(mult(b, a), c) = mult(b, mult(a, c))))), inference(lemma,lemma(discharge,[]))).
% 4.32/4.51 tff(2229,plain,
% 4.32/4.51 (mult(mult(mult(a, c), b), a) = mult(mult(a, c), mult(b, a))),
% 4.32/4.51 inference(unit_resolution,[status(thm)],[2228, 1787, 2116, 102, 342, 118])).
% 4.32/4.51 tff(2230,plain,
% 4.32/4.51 ((~![B: $i, A: $i] : (ld(A, mult(A, B)) = B)) | (ld(mult(a, a), mult(mult(a, a), mult(c, b))) = mult(c, b))),
% 4.32/4.51 inference(quant_inst,[status(thm)],[])).
% 4.32/4.51 tff(2231,plain,
% 4.32/4.51 (ld(mult(a, a), mult(mult(a, a), mult(c, b))) = mult(c, b)),
% 4.32/4.51 inference(unit_resolution,[status(thm)],[2230, 9])).
% 4.32/4.51 tff(2232,plain,
% 4.32/4.51 (~(mult(mult(mult(a, c), b), a) = mult(mult(a, c), mult(a, b)))),
% 4.32/4.51 inference(unit_resolution,[status(thm)],[2217, 78, 1110, 2111, 1790, 2194])).
% 4.32/4.51 tff(2233,plain,
% 4.32/4.51 ((mult(mult(a, c), mult(a, b)) = mult(mult(mult(a, c), b), a)) <=> (mult(mult(mult(a, c), b), a) = mult(mult(a, c), mult(a, b)))),
% 4.32/4.51 inference(commutativity,[status(thm)],[])).
% 4.32/4.51 tff(2234,plain,
% 4.32/4.51 (mult(a, mult(b, mult(a, c))) = mult(mult(mult(a, c), b), a)),
% 4.32/4.51 inference(transitivity,[status(thm)],[1627, 512, 153])).
% 4.32/4.51 tff(2235,plain,
% 4.32/4.51 (~((~(mult(mult(mult(a, c), a), b) = mult(mult(a, c), mult(a, b)))) | (~(mult(mult(mult(a, c), b), a) = mult(mult(a, c), mult(b, a)))))),
% 4.32/4.51 inference(unit_resolution,[status(thm)],[589, 1227])).
% 4.32/4.51 tff(2236,plain,
% 4.32/4.51 (mult(mult(mult(a, c), a), b) = mult(mult(a, c), mult(a, b))),
% 4.32/4.51 inference(unit_resolution,[status(thm)],[1238, 2235])).
% 4.32/4.51 tff(2237,plain,
% 4.32/4.51 (mult(mult(a, mult(a, c)), b) = mult(mult(a, c), mult(a, b))),
% 4.32/4.51 inference(transitivity,[status(thm)],[1718, 2236])).
% 4.32/4.51 tff(2238,plain,
% 4.32/4.51 ((mult(mult(a, mult(a, c)), b) = mult(a, mult(b, mult(a, c)))) <=> (mult(mult(a, c), mult(a, b)) = mult(mult(mult(a, c), b), a))),
% 4.32/4.51 inference(monotonicity,[status(thm)],[2237, 2234])).
% 4.32/4.51 tff(2239,plain,
% 4.32/4.51 ((mult(mult(a, mult(a, c)), b) = mult(a, mult(b, mult(a, c)))) <=> (mult(mult(mult(a, c), b), a) = mult(mult(a, c), mult(a, b)))),
% 4.32/4.51 inference(transitivity,[status(thm)],[2238, 2233])).
% 4.32/4.51 tff(2240,plain,
% 4.32/4.51 ((mult(mult(mult(a, c), b), a) = mult(mult(a, c), mult(a, b))) <=> (mult(mult(a, mult(a, c)), b) = mult(a, mult(b, mult(a, c))))),
% 4.32/4.51 inference(symmetry,[status(thm)],[2239])).
% 4.32/4.51 tff(2241,plain,
% 4.32/4.51 ((~(mult(mult(mult(a, c), b), a) = mult(mult(a, c), mult(a, b)))) <=> (~(mult(mult(a, mult(a, c)), b) = mult(a, mult(b, mult(a, c)))))),
% 4.32/4.51 inference(monotonicity,[status(thm)],[2240])).
% 4.32/4.51 tff(2242,plain,
% 4.32/4.51 (~(mult(mult(a, mult(a, c)), b) = mult(a, mult(b, mult(a, c))))),
% 4.32/4.51 inference(modus_ponens,[status(thm)],[1226, 2241])).
% 4.32/4.51 tff(2243,plain,
% 4.32/4.51 ((~(mult(mult(a, mult(a, c)), b) = mult(a, mult(b, mult(a, c))))) | (~(mult(mult(a, b), mult(a, c)) = mult(a, mult(mult(a, c), b))))),
% 4.32/4.51 inference(unit_resolution,[status(thm)],[836, 2242])).
% 4.32/4.51 tff(2244,plain,
% 4.32/4.51 (mult(mult(a, mult(c, b)), a) = mult(mult(mult(a, c), b), a)),
% 4.32/4.51 inference(symmetry,[status(thm)],[958])).
% 4.32/4.51 tff(2245,plain,
% 4.32/4.51 (mult(a, mult(mult(a, c), b)) = mult(a, mult(b, mult(a, c)))),
% 4.32/4.51 inference(transitivity,[status(thm)],[913, 369, 2244, 93, 160, 1632])).
% 4.32/4.51 tff(2246,plain,
% 4.32/4.51 ((mult(mult(a, mult(a, c)), b) = mult(a, mult(mult(a, c), b))) <=> (mult(mult(a, mult(a, c)), b) = mult(a, mult(b, mult(a, c))))),
% 4.32/4.51 inference(monotonicity,[status(thm)],[2245])).
% 4.32/4.51 tff(2247,plain,
% 4.32/4.51 ((mult(mult(a, mult(a, c)), b) = mult(a, mult(b, mult(a, c)))) <=> (mult(mult(a, mult(a, c)), b) = mult(a, mult(mult(a, c), b)))),
% 4.32/4.51 inference(symmetry,[status(thm)],[2246])).
% 4.32/4.51 tff(2248,plain,
% 4.32/4.51 ((mult(mult(mult(a, c), b), a) = mult(mult(a, c), mult(a, b))) <=> (mult(mult(a, mult(a, c)), b) = mult(a, mult(mult(a, c), b)))),
% 4.32/4.51 inference(transitivity,[status(thm)],[2240, 2247])).
% 4.32/4.51 tff(2249,plain,
% 4.32/4.51 ((~(mult(mult(mult(a, c), b), a) = mult(mult(a, c), mult(a, b)))) <=> (~(mult(mult(a, mult(a, c)), b) = mult(a, mult(mult(a, c), b))))),
% 4.32/4.51 inference(monotonicity,[status(thm)],[2248])).
% 4.32/4.51 tff(2250,plain,
% 4.32/4.51 (~(mult(mult(a, mult(a, c)), b) = mult(a, mult(mult(a, c), b)))),
% 4.32/4.51 inference(modus_ponens,[status(thm)],[1226, 2249])).
% 4.32/4.51 tff(2251,plain,
% 4.32/4.51 ((~(mult(mult(a, mult(a, c)), b) = mult(a, mult(mult(a, c), b)))) | (~(mult(mult(a, b), mult(a, c)) = mult(a, mult(b, mult(a, c)))))),
% 4.32/4.51 inference(unit_resolution,[status(thm)],[899, 2250])).
% 4.32/4.51 tff(2252,plain,
% 4.32/4.51 ($false),
% 4.32/4.51 inference(unit_resolution,[status(thm)],[143, 2251, 2243])).
% 4.32/4.51 tff(2253,plain,((~(mult(mult(a, c), a) = mult(a, mult(a, c)))) | (mult(mult(mult(a, c), b), a) = mult(mult(a, c), mult(a, b))) | (~(mult(mult(a, c), mult(b, a)) = mult(a, mult(mult(b, a), c)))) | (~(mult(mult(mult(a, c), b), a) = mult(mult(a, c), mult(b, a)))) | (~(mult(mult(b, a), c) = mult(b, mult(a, c)))) | (~(mult(mult(a, mult(c, b)), a) = mult(a, mult(a, mult(c, b))))) | (~(mult(mult(a, c), b) = mult(a, mult(c, b))))), inference(lemma,lemma(discharge,[]))).
% 4.32/4.52 tff(2254,plain,
% 4.32/4.52 (~(mult(mult(a, c), a) = mult(a, mult(a, c)))),
% 4.32/4.52 inference(unit_resolution,[status(thm)],[2253, 2232, 160, 93, 118, 89, 2111])).
% 4.32/4.52 tff(2255,plain,
% 4.32/4.52 ((~(mult(mult(a, a), c) = mult(a, mult(c, a)))) | (~(mult(mult(a, c), a) = mult(a, mult(a, c))))),
% 4.32/4.52 inference(unit_resolution,[status(thm)],[1725, 2254])).
% 4.32/4.52 tff(2256,plain,
% 4.32/4.52 (~((~(mult(mult(a, a), c) = mult(a, mult(a, c)))) | (~(mult(mult(a, c), a) = mult(a, mult(c, a)))))),
% 4.32/4.52 inference(unit_resolution,[status(thm)],[1730, 2255])).
% 4.32/4.52 tff(2257,plain,
% 4.32/4.52 (mult(mult(a, c), a) = mult(a, mult(c, a))),
% 4.32/4.52 inference(unit_resolution,[status(thm)],[1732, 2256])).
% 4.32/4.52 tff(2258,plain,
% 4.32/4.52 (mult(mult(mult(a, c), a), b) = mult(mult(a, mult(c, a)), b)),
% 4.32/4.52 inference(monotonicity,[status(thm)],[2257])).
% 4.32/4.52 tff(2259,plain,
% 4.32/4.52 ((~(mult(mult(mult(a, c), a), b) = mult(mult(a, c), mult(b, a)))) | (~(mult(mult(mult(a, c), b), a) = mult(mult(a, c), mult(a, b))))),
% 4.32/4.52 inference(unit_resolution,[status(thm)],[591, 2232])).
% 4.32/4.52 tff(2260,plain,
% 4.32/4.52 (~((~(mult(mult(mult(a, c), a), b) = mult(mult(a, c), mult(a, b)))) | (~(mult(mult(mult(a, c), b), a) = mult(mult(a, c), mult(b, a)))))),
% 4.32/4.52 inference(unit_resolution,[status(thm)],[589, 2259])).
% 4.32/4.52 tff(2261,plain,
% 4.32/4.52 (mult(mult(mult(a, c), a), b) = mult(mult(a, c), mult(a, b))),
% 4.32/4.52 inference(unit_resolution,[status(thm)],[1238, 2260])).
% 4.32/4.52 tff(2262,plain,
% 4.32/4.52 (mult(mult(a, c), mult(a, b)) = mult(mult(mult(a, c), a), b)),
% 4.32/4.52 inference(symmetry,[status(thm)],[2261])).
% 4.32/4.52 tff(2263,plain,
% 4.32/4.52 (mult(mult(a, c), mult(a, b)) = mult(mult(a, a), mult(b, c))),
% 4.32/4.52 inference(transitivity,[status(thm)],[2262, 2258, 1736, 1196, 1826])).
% 4.32/4.52 tff(2264,plain,
% 4.32/4.52 ((mult(mult(a, c), mult(a, b)) = mult(a, mult(mult(a, b), c))) <=> (mult(mult(a, a), mult(b, c)) = mult(a, mult(a, mult(b, c))))),
% 4.32/4.52 inference(monotonicity,[status(thm)],[2263, 1793])).
% 4.32/4.52 tff(2265,plain,
% 4.32/4.52 ((mult(mult(a, a), mult(b, c)) = mult(a, mult(a, mult(b, c)))) <=> (mult(mult(a, c), mult(a, b)) = mult(a, mult(mult(a, b), c)))),
% 4.32/4.52 inference(symmetry,[status(thm)],[2264])).
% 4.32/4.52 tff(2266,plain,
% 4.32/4.52 ((~(mult(mult(a, a), mult(b, c)) = mult(a, mult(a, mult(b, c))))) <=> (~(mult(mult(a, c), mult(a, b)) = mult(a, mult(mult(a, b), c))))),
% 4.32/4.52 inference(monotonicity,[status(thm)],[2265])).
% 4.32/4.52 tff(2267,plain,
% 4.32/4.52 (~(mult(mult(a, c), mult(a, b)) = mult(a, mult(mult(a, b), c)))),
% 4.32/4.52 inference(modus_ponens,[status(thm)],[1848, 2266])).
% 4.32/4.52 tff(2268,plain,
% 4.32/4.52 ((~(mult(mult(a, mult(a, b)), c) = mult(a, mult(c, mult(a, b))))) | (~(mult(mult(a, c), mult(a, b)) = mult(a, mult(mult(a, b), c))))),
% 4.32/4.52 inference(unit_resolution,[status(thm)],[601, 2267])).
% 4.32/4.52 tff(2269,plain,
% 4.32/4.52 (~((~(mult(mult(a, mult(a, b)), c) = mult(a, mult(mult(a, b), c)))) | (~(mult(mult(a, c), mult(a, b)) = mult(a, mult(c, mult(a, b))))))),
% 4.32/4.52 inference(unit_resolution,[status(thm)],[292, 2268])).
% 4.32/4.52 tff(2270,plain,
% 4.32/4.52 (mult(mult(a, c), mult(a, b)) = mult(a, mult(c, mult(a, b)))),
% 4.32/4.52 inference(unit_resolution,[status(thm)],[604, 2269])).
% 4.32/4.52 tff(2271,plain,
% 4.32/4.52 (mult(a, mult(c, mult(a, b))) = mult(mult(a, c), mult(a, b))),
% 4.32/4.52 inference(symmetry,[status(thm)],[2270])).
% 4.32/4.52 tff(2272,plain,
% 4.32/4.52 (mult(mult(a, a), mult(c, b)) = mult(mult(a, a), mult(b, c))),
% 4.32/4.52 inference(transitivity,[status(thm)],[320, 2197, 2271, 2262, 2258, 1736, 1196, 1826])).
% 4.32/4.52 tff(2273,plain,
% 4.32/4.52 (ld(mult(a, a), mult(mult(a, a), mult(c, b))) = ld(mult(a, a), mult(mult(a, a), mult(b, c)))),
% 4.32/4.52 inference(monotonicity,[status(thm)],[2272])).
% 4.32/4.52 tff(2274,plain,
% 4.32/4.52 (ld(mult(a, a), mult(mult(a, a), mult(b, c))) = ld(mult(a, a), mult(mult(a, a), mult(c, b)))),
% 4.32/4.52 inference(symmetry,[status(thm)],[2273])).
% 4.32/4.52 tff(2275,plain,
% 4.32/4.52 ((~![B: $i, A: $i] : (ld(A, mult(A, B)) = B)) | (ld(mult(a, a), mult(mult(a, a), mult(b, c))) = mult(b, c))),
% 4.32/4.52 inference(quant_inst,[status(thm)],[])).
% 4.32/4.52 tff(2276,plain,
% 4.32/4.52 (ld(mult(a, a), mult(mult(a, a), mult(b, c))) = mult(b, c)),
% 4.32/4.52 inference(unit_resolution,[status(thm)],[2275, 9])).
% 4.32/4.52 tff(2277,plain,
% 4.32/4.52 (mult(b, c) = ld(mult(a, a), mult(mult(a, a), mult(b, c)))),
% 4.32/4.52 inference(symmetry,[status(thm)],[2276])).
% 4.32/4.52 tff(2278,plain,
% 4.32/4.52 (mult(b, c) = mult(c, b)),
% 4.32/4.52 inference(transitivity,[status(thm)],[2277, 2274, 2231])).
% 4.32/4.52 tff(2279,plain,
% 4.32/4.52 (mult(a, mult(b, c)) = mult(a, mult(c, b))),
% 4.32/4.52 inference(monotonicity,[status(thm)],[2278])).
% 4.32/4.52 tff(2280,plain,
% 4.32/4.52 (mult(mult(a, b), c) = mult(a, mult(c, b))),
% 4.32/4.52 inference(transitivity,[status(thm)],[1790, 2279])).
% 4.32/4.52 tff(2281,plain,
% 4.32/4.52 ($false),
% 4.32/4.52 inference(unit_resolution,[status(thm)],[1787, 2280])).
% 4.32/4.52 tff(2282,plain,((mult(mult(a, mult(c, b)), a) = mult(a, mult(mult(c, b), a))) | (mult(mult(a, b), c) = mult(a, mult(c, b))) | (~(mult(mult(a, mult(c, a)), b) = mult(a, mult(b, mult(c, a))))) | (~(mult(mult(c, b), a) = mult(c, mult(a, b)))) | (~(mult(mult(b, c), a) = mult(b, mult(c, a)))) | (~(mult(mult(a, c), mult(b, a)) = mult(a, mult(mult(b, a), c)))) | (~(mult(mult(mult(a, c), b), a) = mult(mult(a, c), mult(b, a)))) | (~(mult(mult(b, a), c) = mult(b, mult(a, c))))), inference(lemma,lemma(discharge,[]))).
% 4.32/4.52 tff(2283,plain,
% 4.32/4.52 (mult(mult(a, mult(c, b)), a) = mult(a, mult(mult(c, b), a))),
% 4.32/4.52 inference(unit_resolution,[status(thm)],[2282, 135, 2116, 2110, 102, 1787, 2229, 118])).
% 4.32/4.52 tff(2284,plain,
% 4.32/4.52 (mult(mult(a, b), mult(c, a)) = mult(a, mult(a, mult(b, c)))),
% 4.32/4.52 inference(transitivity,[status(thm)],[1873, 1794, 1803])).
% 4.32/4.52 tff(2285,plain,
% 4.32/4.52 ((mult(mult(a, b), mult(c, a)) = mult(a, mult(b, mult(c, a)))) <=> (mult(a, mult(a, mult(b, c))) = mult(mult(a, a), mult(b, c)))),
% 4.32/4.52 inference(monotonicity,[status(thm)],[2284, 1827])).
% 4.32/4.52 tff(2286,plain,
% 4.32/4.52 ((mult(mult(a, b), mult(c, a)) = mult(a, mult(b, mult(c, a)))) <=> (mult(mult(a, a), mult(b, c)) = mult(a, mult(a, mult(b, c))))),
% 4.32/4.52 inference(transitivity,[status(thm)],[2285, 1824])).
% 4.32/4.52 tff(2287,plain,
% 4.32/4.52 ((mult(mult(a, a), mult(b, c)) = mult(a, mult(a, mult(b, c)))) <=> (mult(mult(a, b), mult(c, a)) = mult(a, mult(b, mult(c, a))))),
% 4.32/4.52 inference(symmetry,[status(thm)],[2286])).
% 4.32/4.52 tff(2288,plain,
% 4.32/4.52 ((~(mult(mult(a, a), mult(b, c)) = mult(a, mult(a, mult(b, c))))) <=> (~(mult(mult(a, b), mult(c, a)) = mult(a, mult(b, mult(c, a)))))),
% 4.32/4.52 inference(monotonicity,[status(thm)],[2287])).
% 4.32/4.52 tff(2289,plain,
% 4.32/4.52 (~(mult(mult(a, b), mult(c, a)) = mult(a, mult(b, mult(c, a))))),
% 4.32/4.52 inference(modus_ponens,[status(thm)],[1848, 2288])).
% 4.32/4.52 tff(2290,plain,
% 4.32/4.52 ((~(mult(mult(a, b), mult(c, a)) = mult(a, mult(b, mult(c, a))))) | (~(mult(mult(a, mult(c, a)), b) = mult(a, mult(mult(c, a), b))))),
% 4.32/4.52 inference(unit_resolution,[status(thm)],[196, 2289])).
% 4.32/4.52 tff(2291,plain,
% 4.32/4.52 (~((~(mult(mult(a, b), mult(c, a)) = mult(a, mult(mult(c, a), b)))) | (~(mult(mult(a, mult(c, a)), b) = mult(a, mult(b, mult(c, a))))))),
% 4.32/4.52 inference(unit_resolution,[status(thm)],[201, 2290])).
% 4.32/4.52 tff(2292,plain,
% 4.32/4.52 (mult(mult(a, b), mult(c, a)) = mult(a, mult(mult(c, a), b))),
% 4.32/4.52 inference(unit_resolution,[status(thm)],[203, 2291])).
% 4.32/4.52 tff(2293,plain,
% 4.32/4.52 (mult(a, mult(mult(c, a), b)) = mult(mult(a, b), mult(c, a))),
% 4.32/4.52 inference(symmetry,[status(thm)],[2292])).
% 4.32/4.52 tff(2294,plain,
% 4.32/4.52 ((~![B: $i, A: $i] : (rd(mult(A, B), B) = A)) | (rd(mult(mult(a, mult(c, b)), a), a) = mult(a, mult(c, b)))),
% 4.32/4.52 inference(quant_inst,[status(thm)],[])).
% 4.32/4.52 tff(2295,plain,
% 4.32/4.52 (rd(mult(mult(a, mult(c, b)), a), a) = mult(a, mult(c, b))),
% 4.32/4.52 inference(unit_resolution,[status(thm)],[2294, 72])).
% 4.32/4.52 tff(2296,plain,
% 4.32/4.52 (mult(mult(a, mult(c, b)), a) = mult(mult(mult(a, c), b), a)),
% 4.32/4.52 inference(monotonicity,[status(thm)],[2120])).
% 4.32/4.52 tff(2297,plain,
% 4.32/4.52 (mult(mult(a, mult(c, b)), a) = mult(mult(mult(a, b), c), a)),
% 4.32/4.52 inference(transitivity,[status(thm)],[2296, 93, 368, 1282, 458, 371])).
% 4.32/4.52 tff(2298,plain,
% 4.32/4.52 (rd(mult(mult(a, mult(c, b)), a), a) = rd(mult(mult(mult(a, b), c), a), a)),
% 4.32/4.52 inference(monotonicity,[status(thm)],[2297])).
% 4.32/4.52 tff(2299,plain,
% 4.32/4.52 (rd(mult(mult(mult(a, b), c), a), a) = rd(mult(mult(a, mult(c, b)), a), a)),
% 4.32/4.52 inference(symmetry,[status(thm)],[2298])).
% 4.32/4.52 tff(2300,plain,
% 4.32/4.52 (mult(mult(a, b), c) = mult(a, mult(c, b))),
% 4.32/4.52 inference(transitivity,[status(thm)],[173, 2299, 2295])).
% 4.32/4.52 tff(2301,plain,
% 4.32/4.52 ($false),
% 4.32/4.52 inference(unit_resolution,[status(thm)],[1787, 2300])).
% 4.32/4.52 tff(2302,plain,((~(mult(mult(a, c), mult(b, a)) = mult(a, mult(c, mult(b, a))))) | (mult(mult(a, b), c) = mult(a, mult(c, b))) | (~(mult(mult(mult(a, c), b), a) = mult(mult(a, c), mult(b, a)))) | (~(mult(mult(a, b), mult(c, a)) = mult(a, mult(mult(c, a), b)))) | (~(mult(mult(mult(a, b), c), a) = mult(mult(a, b), mult(c, a)))) | (~(mult(mult(c, a), b) = mult(c, mult(b, a))))), inference(lemma,lemma(discharge,[]))).
% 4.32/4.52 tff(2303,plain,
% 4.32/4.52 (~(mult(mult(a, c), mult(b, a)) = mult(a, mult(c, mult(b, a))))),
% 4.32/4.52 inference(unit_resolution,[status(thm)],[2302, 2292, 93, 1787, 275, 342])).
% 4.32/4.52 tff(2304,plain,
% 4.32/4.52 ((~(mult(mult(a, c), mult(b, a)) = mult(a, mult(c, mult(b, a))))) | (~(mult(mult(a, mult(b, a)), c) = mult(a, mult(mult(b, a), c))))),
% 4.32/4.52 inference(unit_resolution,[status(thm)],[120, 2303])).
% 4.32/4.52 tff(2305,plain,
% 4.32/4.52 (~((~(mult(mult(a, c), mult(b, a)) = mult(a, mult(mult(b, a), c)))) | (~(mult(mult(a, mult(b, a)), c) = mult(a, mult(c, mult(b, a))))))),
% 4.32/4.52 inference(unit_resolution,[status(thm)],[132, 2304])).
% 4.32/4.52 tff(2306,plain,
% 4.32/4.52 (mult(mult(a, mult(b, a)), c) = mult(a, mult(c, mult(b, a)))),
% 4.32/4.52 inference(unit_resolution,[status(thm)],[217, 2305])).
% 4.32/4.52 tff(2307,plain,
% 4.32/4.52 (~(mult(mult(a, b), a) = mult(a, mult(b, a)))),
% 4.32/4.52 inference(unit_resolution,[status(thm)],[2153, 2306, 342, 248])).
% 4.32/4.52 tff(2308,plain,
% 4.32/4.52 ((~(mult(mult(a, a), b) = mult(a, mult(a, b)))) | (~(mult(mult(a, b), a) = mult(a, mult(b, a))))),
% 4.32/4.52 inference(unit_resolution,[status(thm)],[232, 2307])).
% 4.32/4.52 tff(2309,plain,
% 4.32/4.52 (~((~(mult(mult(a, a), b) = mult(a, mult(b, a)))) | (~(mult(mult(a, b), a) = mult(a, mult(a, b)))))),
% 4.32/4.52 inference(unit_resolution,[status(thm)],[244, 2308])).
% 4.32/4.52 tff(2310,plain,
% 4.32/4.52 (mult(mult(a, a), b) = mult(a, mult(b, a))),
% 4.32/4.52 inference(unit_resolution,[status(thm)],[308, 2309])).
% 4.32/4.52 tff(2311,plain,
% 4.32/4.52 (mult(mult(mult(a, a), b), c) = mult(mult(a, mult(b, a)), c)),
% 4.32/4.52 inference(monotonicity,[status(thm)],[2310])).
% 4.32/4.52 tff(2312,plain,
% 4.32/4.52 (mult(mult(mult(a, a), b), c) = mult(a, mult(a, mult(b, c)))),
% 4.32/4.52 inference(transitivity,[status(thm)],[2311, 2306, 1282, 2293, 1873, 1794, 1803])).
% 4.32/4.52 tff(2313,plain,
% 4.32/4.52 ((mult(mult(mult(a, a), b), c) = mult(mult(a, a), mult(b, c))) <=> (mult(a, mult(a, mult(b, c))) = mult(mult(a, a), mult(b, c)))),
% 4.32/4.52 inference(monotonicity,[status(thm)],[2312])).
% 4.32/4.52 tff(2314,plain,
% 4.32/4.52 ((mult(mult(mult(a, a), b), c) = mult(mult(a, a), mult(b, c))) <=> (mult(mult(a, a), mult(b, c)) = mult(a, mult(a, mult(b, c))))),
% 4.32/4.52 inference(transitivity,[status(thm)],[2313, 1824])).
% 4.32/4.52 tff(2315,plain,
% 4.32/4.52 ((mult(mult(a, a), mult(b, c)) = mult(a, mult(a, mult(b, c)))) <=> (mult(mult(mult(a, a), b), c) = mult(mult(a, a), mult(b, c)))),
% 4.32/4.52 inference(symmetry,[status(thm)],[2314])).
% 4.32/4.52 tff(2316,plain,
% 4.32/4.52 ((~(mult(mult(a, a), mult(b, c)) = mult(a, mult(a, mult(b, c))))) <=> (~(mult(mult(mult(a, a), b), c) = mult(mult(a, a), mult(b, c))))),
% 4.32/4.52 inference(monotonicity,[status(thm)],[2315])).
% 4.32/4.52 tff(2317,plain,
% 4.32/4.52 (~(mult(mult(mult(a, a), b), c) = mult(mult(a, a), mult(b, c)))),
% 4.32/4.52 inference(modus_ponens,[status(thm)],[1848, 2316])).
% 4.32/4.52 tff(2318,plain,
% 4.32/4.52 ((~(mult(mult(mult(a, a), b), c) = mult(mult(a, a), mult(b, c)))) | (~(mult(mult(mult(a, a), c), b) = mult(mult(a, a), mult(c, b))))),
% 4.32/4.52 inference(unit_resolution,[status(thm)],[317, 2317])).
% 4.32/4.52 tff(2319,plain,
% 4.32/4.52 (~((~(mult(mult(mult(a, a), b), c) = mult(mult(a, a), mult(c, b)))) | (~(mult(mult(mult(a, a), c), b) = mult(mult(a, a), mult(b, c)))))),
% 4.32/4.52 inference(unit_resolution,[status(thm)],[338, 2318])).
% 4.32/4.52 tff(2320,plain,
% 4.32/4.52 (mult(mult(mult(a, a), b), c) = mult(mult(a, a), mult(c, b))),
% 4.32/4.52 inference(unit_resolution,[status(thm)],[326, 2319])).
% 4.32/4.52 tff(2321,plain,
% 4.32/4.52 (mult(mult(a, a), mult(c, b)) = mult(mult(mult(a, a), b), c)),
% 4.32/4.52 inference(symmetry,[status(thm)],[2320])).
% 4.32/4.52 tff(2322,plain,
% 4.32/4.52 (mult(mult(a, b), a) = mult(a, mult(a, b))),
% 4.32/4.52 inference(unit_resolution,[status(thm)],[246, 2309])).
% 4.32/4.52 tff(2323,plain,
% 4.32/4.52 (mult(mult(mult(a, b), a), c) = mult(mult(a, mult(a, b)), c)),
% 4.32/4.52 inference(monotonicity,[status(thm)],[2322])).
% 4.32/4.52 tff(2324,plain,
% 4.32/4.52 (mult(mult(a, mult(a, b)), c) = mult(mult(mult(a, b), a), c)),
% 4.32/4.52 inference(symmetry,[status(thm)],[2323])).
% 4.32/4.52 tff(2325,plain,
% 4.32/4.52 ((mult(mult(a, b), mult(a, c)) = mult(mult(mult(a, b), c), a)) <=> (mult(mult(mult(a, b), c), a) = mult(mult(a, b), mult(a, c)))),
% 4.32/4.52 inference(commutativity,[status(thm)],[])).
% 4.32/4.52 tff(2326,plain,
% 4.32/4.52 (mult(a, mult(a, mult(b, c))) = mult(mult(a, mult(b, c)), a)),
% 4.32/4.52 inference(symmetry,[status(thm)],[1803])).
% 4.32/4.52 tff(2327,plain,
% 4.32/4.52 (mult(a, mult(mult(a, b), c)) = mult(mult(mult(a, b), c), a)),
% 4.32/4.52 inference(transitivity,[status(thm)],[1793, 2326, 1795])).
% 4.32/4.52 tff(2328,plain,
% 4.32/4.52 (mult(mult(a, mult(a, b)), c) = mult(mult(a, b), mult(a, c))),
% 4.32/4.52 inference(transitivity,[status(thm)],[2324, 253])).
% 4.32/4.52 tff(2329,plain,
% 4.32/4.52 ((mult(mult(a, mult(a, b)), c) = mult(a, mult(mult(a, b), c))) <=> (mult(mult(a, b), mult(a, c)) = mult(mult(mult(a, b), c), a))),
% 4.32/4.52 inference(monotonicity,[status(thm)],[2328, 2327])).
% 4.32/4.52 tff(2330,plain,
% 4.32/4.52 ((mult(mult(a, mult(a, b)), c) = mult(a, mult(mult(a, b), c))) <=> (mult(mult(mult(a, b), c), a) = mult(mult(a, b), mult(a, c)))),
% 4.32/4.52 inference(transitivity,[status(thm)],[2329, 2325])).
% 4.32/4.52 tff(2331,plain,
% 4.32/4.52 ((mult(mult(mult(a, b), c), a) = mult(mult(a, b), mult(a, c))) <=> (mult(mult(a, mult(a, b)), c) = mult(a, mult(mult(a, b), c)))),
% 4.32/4.52 inference(symmetry,[status(thm)],[2330])).
% 4.32/4.52 tff(2332,plain,
% 4.32/4.52 ((~(mult(mult(mult(a, b), c), a) = mult(mult(a, b), mult(a, c)))) <=> (~(mult(mult(a, mult(a, b)), c) = mult(a, mult(mult(a, b), c))))),
% 4.32/4.52 inference(monotonicity,[status(thm)],[2331])).
% 4.32/4.52 tff(2333,plain,
% 4.32/4.52 (~(mult(mult(a, mult(a, b)), c) = mult(a, mult(mult(a, b), c)))),
% 4.32/4.52 inference(modus_ponens,[status(thm)],[248, 2332])).
% 4.32/4.52 tff(2334,plain,
% 4.32/4.52 ((~(mult(mult(a, mult(a, b)), c) = mult(a, mult(mult(a, b), c)))) | (~(mult(mult(a, c), mult(a, b)) = mult(a, mult(c, mult(a, b)))))),
% 4.32/4.52 inference(unit_resolution,[status(thm)],[266, 2333])).
% 4.32/4.52 tff(2335,plain,
% 4.32/4.52 (~((~(mult(mult(a, mult(a, b)), c) = mult(a, mult(c, mult(a, b))))) | (~(mult(mult(a, c), mult(a, b)) = mult(a, mult(mult(a, b), c)))))),
% 4.32/4.52 inference(unit_resolution,[status(thm)],[292, 2334])).
% 4.32/4.52 tff(2336,plain,
% 4.32/4.52 (mult(mult(a, mult(a, b)), c) = mult(a, mult(c, mult(a, b)))),
% 4.32/4.52 inference(unit_resolution,[status(thm)],[287, 2335])).
% 4.32/4.52 tff(2337,plain,
% 4.32/4.52 (mult(a, mult(c, mult(a, b))) = mult(mult(a, mult(a, b)), c)),
% 4.32/4.52 inference(symmetry,[status(thm)],[2336])).
% 4.32/4.52 tff(2338,plain,
% 4.32/4.52 (mult(c, mult(a, b)) = mult(mult(c, b), a)),
% 4.32/4.52 inference(symmetry,[status(thm)],[2110])).
% 4.32/4.52 tff(2339,plain,
% 4.32/4.52 (mult(a, mult(c, mult(a, b))) = mult(a, mult(mult(c, b), a))),
% 4.32/4.52 inference(monotonicity,[status(thm)],[2338])).
% 4.32/4.52 tff(2340,plain,
% 4.32/4.52 (mult(a, mult(mult(c, b), a)) = mult(a, mult(c, mult(a, b)))),
% 4.32/4.52 inference(symmetry,[status(thm)],[2339])).
% 4.32/4.52 tff(2341,plain,
% 4.32/4.52 (mult(a, mult(mult(c, b), a)) = mult(mult(a, b), mult(a, c))),
% 4.32/4.52 inference(transitivity,[status(thm)],[2340, 2337, 2324, 253])).
% 4.32/4.52 tff(2342,plain,
% 4.32/4.52 (mult(mult(a, a), mult(c, b)) = mult(mult(mult(a, b), c), a)),
% 4.32/4.52 inference(transitivity,[status(thm)],[2321, 2311, 2306, 1282, 2293, 1873])).
% 4.32/4.52 tff(2343,plain,
% 4.32/4.52 ((mult(mult(a, a), mult(c, b)) = mult(a, mult(mult(c, b), a))) <=> (mult(mult(mult(a, b), c), a) = mult(mult(a, b), mult(a, c)))),
% 4.32/4.52 inference(monotonicity,[status(thm)],[2342, 2341])).
% 4.32/4.52 tff(2344,plain,
% 4.32/4.52 ((mult(mult(mult(a, b), c), a) = mult(mult(a, b), mult(a, c))) <=> (mult(mult(a, a), mult(c, b)) = mult(a, mult(mult(c, b), a)))),
% 4.32/4.52 inference(symmetry,[status(thm)],[2343])).
% 4.32/4.52 tff(2345,plain,
% 4.32/4.52 ((~(mult(mult(mult(a, b), c), a) = mult(mult(a, b), mult(a, c)))) <=> (~(mult(mult(a, a), mult(c, b)) = mult(a, mult(mult(c, b), a))))),
% 4.32/4.52 inference(monotonicity,[status(thm)],[2344])).
% 4.32/4.52 tff(2346,plain,
% 4.32/4.52 (~(mult(mult(a, a), mult(c, b)) = mult(a, mult(mult(c, b), a)))),
% 4.32/4.52 inference(modus_ponens,[status(thm)],[248, 2345])).
% 4.32/4.52 tff(2347,plain,
% 4.32/4.52 ((~(mult(mult(a, a), mult(c, b)) = mult(a, mult(mult(c, b), a)))) | (~(mult(mult(a, mult(c, b)), a) = mult(a, mult(a, mult(c, b)))))),
% 4.32/4.52 inference(unit_resolution,[status(thm)],[319, 2346])).
% 4.32/4.52 tff(2348,plain,
% 4.32/4.52 (mult(mult(a, mult(c, b)), a) = mult(a, mult(mult(c, b), a))),
% 4.32/4.52 inference(unit_resolution,[status(thm)],[86, 2347])).
% 4.32/4.52 tff(2349,plain,
% 4.32/4.52 (mult(mult(a, a), mult(c, b)) = mult(a, mult(a, mult(c, b)))),
% 4.32/4.52 inference(unit_resolution,[status(thm)],[1580, 2348])).
% 4.32/4.52 tff(2350,plain,
% 4.32/4.52 (mult(a, mult(a, mult(c, b))) = mult(mult(a, a), mult(c, b))),
% 4.32/4.52 inference(symmetry,[status(thm)],[2349])).
% 4.32/4.52 tff(2351,plain,
% 4.32/4.52 (mult(a, mult(a, mult(c, b))) = mult(a, mult(mult(a, b), c))),
% 4.32/4.52 inference(transitivity,[status(thm)],[2350, 2321, 2311, 2306, 1282, 2293, 1873, 1794, 1803, 1792])).
% 4.32/4.52 tff(2352,plain,
% 4.32/4.52 (ld(a, mult(a, mult(a, mult(c, b)))) = ld(a, mult(a, mult(mult(a, b), c)))),
% 4.32/4.52 inference(monotonicity,[status(thm)],[2351])).
% 4.32/4.52 tff(2353,plain,
% 4.32/4.52 (ld(a, mult(a, mult(mult(a, b), c))) = ld(a, mult(a, mult(a, mult(c, b))))),
% 4.32/4.52 inference(symmetry,[status(thm)],[2352])).
% 4.32/4.52 tff(2354,plain,
% 4.32/4.52 (mult(mult(a, b), c) = mult(a, mult(c, b))),
% 4.32/4.52 inference(transitivity,[status(thm)],[561, 2353, 802])).
% 4.32/4.52 tff(2355,plain,
% 4.32/4.52 ($false),
% 4.32/4.52 inference(unit_resolution,[status(thm)],[1787, 2354])).
% 4.32/4.52 tff(2356,plain,((mult(mult(mult(a, b), c), a) = mult(mult(a, b), mult(a, c))) | (mult(mult(a, b), c) = mult(a, mult(c, b))) | (~(mult(mult(c, a), b) = mult(c, mult(b, a)))) | (~(mult(mult(mult(a, c), b), a) = mult(mult(a, c), mult(b, a)))) | (~(mult(mult(b, c), a) = mult(b, mult(c, a))))), inference(lemma,lemma(discharge,[]))).
% 4.32/4.52 tff(2357,plain,
% 4.32/4.52 (mult(mult(mult(a, b), c), a) = mult(mult(a, b), mult(a, c))),
% 4.32/4.52 inference(unit_resolution,[status(thm)],[2356, 1787, 342, 2229, 102])).
% 4.32/4.52 tff(2358,plain,
% 4.32/4.52 ((mult(a, mult(b, a)) = mult(mult(a, a), b)) <=> (mult(mult(a, a), b) = mult(a, mult(b, a)))),
% 4.32/4.52 inference(commutativity,[status(thm)],[])).
% 4.32/4.52 tff(2359,plain,
% 4.32/4.52 ((mult(mult(a, b), a) = mult(a, mult(a, b))) <=> (mult(a, mult(b, a)) = mult(mult(a, a), b))),
% 4.32/4.52 inference(monotonicity,[status(thm)],[1949, 1978])).
% 4.32/4.52 tff(2360,plain,
% 4.32/4.52 ((mult(mult(a, b), a) = mult(a, mult(a, b))) <=> (mult(mult(a, a), b) = mult(a, mult(b, a)))),
% 4.32/4.52 inference(transitivity,[status(thm)],[2359, 2358])).
% 4.32/4.52 tff(2361,plain,
% 4.32/4.52 ((~(mult(mult(a, b), a) = mult(a, mult(a, b)))) <=> (~(mult(mult(a, a), b) = mult(a, mult(b, a))))),
% 4.32/4.52 inference(monotonicity,[status(thm)],[2360])).
% 4.32/4.52 tff(2362,plain,
% 4.32/4.52 (~(mult(mult(a, a), b) = mult(a, mult(b, a)))),
% 4.32/4.52 inference(modus_ponens,[status(thm)],[1946, 2361])).
% 4.32/4.52 tff(2363,plain,
% 4.32/4.52 ((~![B: $i, A: $i] : (ld(A, mult(A, B)) = B)) | (ld(mult(a, c), mult(mult(a, c), mult(b, a))) = mult(b, a))),
% 4.32/4.52 inference(quant_inst,[status(thm)],[])).
% 4.32/4.52 tff(2364,plain,
% 4.32/4.52 (ld(mult(a, c), mult(mult(a, c), mult(b, a))) = mult(b, a)),
% 4.32/4.52 inference(unit_resolution,[status(thm)],[2363, 9])).
% 4.32/4.52 tff(2365,plain,
% 4.32/4.52 (mult(mult(a, c), mult(a, b)) = mult(mult(a, c), mult(b, a))),
% 4.32/4.52 inference(transitivity,[status(thm)],[988, 1414, 708, 2244, 93])).
% 4.32/4.52 tff(2366,plain,
% 4.32/4.52 (ld(mult(a, c), mult(mult(a, c), mult(a, b))) = ld(mult(a, c), mult(mult(a, c), mult(b, a)))),
% 4.32/4.52 inference(monotonicity,[status(thm)],[2365])).
% 4.32/4.52 tff(2367,plain,
% 4.32/4.52 ((~![B: $i, A: $i] : (ld(A, mult(A, B)) = B)) | (ld(mult(a, c), mult(mult(a, c), mult(a, b))) = mult(a, b))),
% 4.32/4.52 inference(quant_inst,[status(thm)],[])).
% 4.32/4.52 tff(2368,plain,
% 4.32/4.52 (ld(mult(a, c), mult(mult(a, c), mult(a, b))) = mult(a, b)),
% 4.32/4.52 inference(unit_resolution,[status(thm)],[2367, 9])).
% 4.32/4.52 tff(2369,plain,
% 4.32/4.52 (mult(a, b) = ld(mult(a, c), mult(mult(a, c), mult(a, b)))),
% 4.32/4.52 inference(symmetry,[status(thm)],[2368])).
% 4.32/4.52 tff(2370,plain,
% 4.32/4.52 (mult(a, b) = mult(b, a)),
% 4.32/4.52 inference(transitivity,[status(thm)],[2369, 2366, 2364])).
% 4.32/4.52 tff(2371,plain,
% 4.32/4.52 (mult(a, mult(a, b)) = mult(a, mult(b, a))),
% 4.32/4.52 inference(monotonicity,[status(thm)],[2370])).
% 4.32/4.52 tff(2372,plain,
% 4.32/4.52 (mult(mult(a, a), b) = mult(a, mult(b, a))),
% 4.32/4.52 inference(transitivity,[status(thm)],[448, 2371])).
% 4.32/4.52 tff(2373,assumption,(~(mult(mult(a, a), b) = mult(a, mult(b, a)))), introduced(assumption)).
% 4.32/4.53 tff(2374,plain,
% 4.32/4.53 ($false),
% 4.32/4.53 inference(unit_resolution,[status(thm)],[2373, 2372])).
% 4.32/4.53 tff(2375,plain,((~(mult(mult(a, c), mult(a, b)) = mult(a, mult(c, mult(a, b))))) | (mult(mult(a, a), b) = mult(a, mult(b, a))) | (~(mult(mult(a, a), b) = mult(a, mult(a, b)))) | (~(mult(mult(a, mult(c, b)), a) = mult(a, mult(mult(c, b), a)))) | (~(mult(mult(mult(a, c), b), a) = mult(mult(a, c), mult(b, a)))) | (~(mult(mult(a, c), b) = mult(a, mult(c, b)))) | (~(mult(mult(c, b), a) = mult(c, mult(a, b))))), inference(lemma,lemma(discharge,[]))).
% 4.32/4.53 tff(2376,plain,
% 4.32/4.53 (~(mult(mult(a, c), mult(a, b)) = mult(a, mult(c, mult(a, b))))),
% 4.32/4.53 inference(unit_resolution,[status(thm)],[2375, 2362, 1977, 707, 93, 788, 1110])).
% 4.32/4.53 tff(2377,plain,
% 4.32/4.53 ((~(mult(mult(a, mult(a, b)), c) = mult(a, mult(mult(a, b), c)))) | (~(mult(mult(a, c), mult(a, b)) = mult(a, mult(c, mult(a, b)))))),
% 4.32/4.53 inference(unit_resolution,[status(thm)],[604, 2376])).
% 4.32/4.53 tff(2378,plain,
% 4.32/4.53 (~((~(mult(mult(a, mult(a, b)), c) = mult(a, mult(c, mult(a, b))))) | (~(mult(mult(a, c), mult(a, b)) = mult(a, mult(mult(a, b), c)))))),
% 4.32/4.53 inference(unit_resolution,[status(thm)],[292, 2377])).
% 4.32/4.53 tff(2379,plain,
% 4.32/4.53 (mult(mult(a, c), mult(a, b)) = mult(a, mult(mult(a, b), c))),
% 4.32/4.53 inference(unit_resolution,[status(thm)],[601, 2378])).
% 4.32/4.53 tff(2380,plain,
% 4.32/4.53 (mult(a, mult(mult(a, b), c)) = mult(mult(a, c), mult(a, b))),
% 4.32/4.53 inference(symmetry,[status(thm)],[2379])).
% 4.32/4.53 tff(2381,plain,
% 4.32/4.53 (mult(a, mult(a, mult(b, c))) = mult(a, mult(mult(a, b), c))),
% 4.32/4.53 inference(monotonicity,[status(thm)],[777])).
% 4.32/4.53 tff(2382,plain,
% 4.32/4.53 (mult(mult(mult(a, b), c), a) = mult(mult(a, mult(b, c)), a)),
% 4.32/4.53 inference(monotonicity,[status(thm)],[59])).
% 4.32/4.53 tff(2383,plain,
% 4.32/4.53 (mult(mult(a, mult(b, c)), a) = mult(mult(mult(a, b), c), a)),
% 4.32/4.53 inference(symmetry,[status(thm)],[2382])).
% 4.32/4.53 tff(2384,plain,
% 4.32/4.53 ((mult(mult(a, mult(b, c)), a) = mult(a, mult(mult(b, c), a))) <=> (mult(mult(mult(a, b), c), a) = mult(a, mult(b, mult(c, a))))),
% 4.32/4.53 inference(monotonicity,[status(thm)],[2383, 103])).
% 4.32/4.53 tff(2385,plain,
% 4.32/4.53 ((mult(mult(a, mult(b, c)), a) = mult(a, mult(mult(b, c), a))) <=> (mult(a, mult(b, mult(c, a))) = mult(mult(mult(a, b), c), a))),
% 4.32/4.53 inference(transitivity,[status(thm)],[2384, 15])).
% 4.32/4.53 tff(2386,plain,
% 4.32/4.53 ((mult(a, mult(b, mult(c, a))) = mult(mult(mult(a, b), c), a)) <=> (mult(mult(a, mult(b, c)), a) = mult(a, mult(mult(b, c), a)))),
% 4.32/4.53 inference(symmetry,[status(thm)],[2385])).
% 4.32/4.53 tff(2387,plain,
% 4.32/4.53 ((~(mult(a, mult(b, mult(c, a))) = mult(mult(mult(a, b), c), a))) <=> (~(mult(mult(a, mult(b, c)), a) = mult(a, mult(mult(b, c), a))))),
% 4.32/4.53 inference(monotonicity,[status(thm)],[2386])).
% 4.32/4.53 tff(2388,plain,
% 4.32/4.53 (~(mult(mult(a, mult(b, c)), a) = mult(a, mult(mult(b, c), a)))),
% 4.32/4.53 inference(modus_ponens,[status(thm)],[194, 2387])).
% 4.32/4.53 tff(2389,plain,
% 4.32/4.53 ((~(mult(mult(a, mult(b, c)), a) = mult(a, mult(mult(b, c), a)))) | (~(mult(mult(a, a), mult(b, c)) = mult(a, mult(a, mult(b, c)))))),
% 4.32/4.53 inference(unit_resolution,[status(thm)],[660, 2388])).
% 4.32/4.53 tff(2390,plain,
% 4.32/4.53 (~((~(mult(mult(a, mult(b, c)), a) = mult(a, mult(a, mult(b, c))))) | (~(mult(mult(a, a), mult(b, c)) = mult(a, mult(mult(b, c), a)))))),
% 4.32/4.53 inference(unit_resolution,[status(thm)],[658, 2389])).
% 4.32/4.53 tff(2391,plain,
% 4.32/4.53 (mult(mult(a, mult(b, c)), a) = mult(a, mult(a, mult(b, c)))),
% 4.32/4.53 inference(unit_resolution,[status(thm)],[786, 2390])).
% 4.32/4.53 tff(2392,plain,
% 4.32/4.53 (mult(mult(a, b), mult(a, c)) = mult(mult(a, c), mult(a, b))),
% 4.32/4.53 inference(transitivity,[status(thm)],[403, 2382, 2391, 2381, 2380])).
% 4.32/4.53 tff(2393,plain,
% 4.32/4.53 ((mult(mult(a, b), mult(a, c)) = mult(a, mult(b, mult(a, c)))) <=> (mult(mult(a, c), mult(a, b)) = mult(mult(mult(a, c), b), a))),
% 4.32/4.53 inference(monotonicity,[status(thm)],[2392, 2234])).
% 4.32/4.53 tff(2394,plain,
% 4.32/4.53 ((mult(mult(a, b), mult(a, c)) = mult(a, mult(b, mult(a, c)))) <=> (mult(mult(mult(a, c), b), a) = mult(mult(a, c), mult(a, b)))),
% 4.32/4.53 inference(transitivity,[status(thm)],[2393, 2233])).
% 4.32/4.53 tff(2395,plain,
% 4.32/4.53 ((mult(mult(mult(a, c), b), a) = mult(mult(a, c), mult(a, b))) <=> (mult(mult(a, b), mult(a, c)) = mult(a, mult(b, mult(a, c))))),
% 4.32/4.53 inference(symmetry,[status(thm)],[2394])).
% 4.32/4.53 tff(2396,plain,
% 4.32/4.53 ((~(mult(mult(mult(a, c), b), a) = mult(mult(a, c), mult(a, b)))) <=> (~(mult(mult(a, b), mult(a, c)) = mult(a, mult(b, mult(a, c)))))),
% 4.32/4.53 inference(monotonicity,[status(thm)],[2395])).
% 4.32/4.53 tff(2397,plain,
% 4.32/4.53 (mult(a, mult(c, mult(a, b))) = mult(mult(mult(a, c), b), a)),
% 4.32/4.53 inference(transitivity,[status(thm)],[1414, 708, 2244])).
% 4.32/4.53 tff(2398,plain,
% 4.32/4.53 ((mult(mult(a, c), mult(a, b)) = mult(a, mult(c, mult(a, b)))) <=> (mult(mult(a, c), mult(a, b)) = mult(mult(mult(a, c), b), a))),
% 4.32/4.53 inference(monotonicity,[status(thm)],[2397])).
% 4.32/4.53 tff(2399,plain,
% 4.32/4.53 ((mult(mult(a, c), mult(a, b)) = mult(a, mult(c, mult(a, b)))) <=> (mult(mult(mult(a, c), b), a) = mult(mult(a, c), mult(a, b)))),
% 4.32/4.53 inference(transitivity,[status(thm)],[2398, 2233])).
% 4.32/4.53 tff(2400,plain,
% 4.32/4.53 ((~(mult(mult(a, c), mult(a, b)) = mult(a, mult(c, mult(a, b))))) <=> (~(mult(mult(mult(a, c), b), a) = mult(mult(a, c), mult(a, b))))),
% 4.32/4.53 inference(monotonicity,[status(thm)],[2399])).
% 4.32/4.53 tff(2401,plain,
% 4.32/4.53 (~(mult(mult(mult(a, c), b), a) = mult(mult(a, c), mult(a, b)))),
% 4.32/4.53 inference(modus_ponens,[status(thm)],[2376, 2400])).
% 4.32/4.53 tff(2402,plain,
% 4.32/4.53 (~(mult(mult(a, b), mult(a, c)) = mult(a, mult(b, mult(a, c))))),
% 4.32/4.53 inference(modus_ponens,[status(thm)],[2401, 2396])).
% 4.32/4.53 tff(2403,plain,
% 4.32/4.53 (mult(mult(a, a), mult(b, c)) = mult(a, mult(mult(b, c), a))),
% 4.32/4.53 inference(unit_resolution,[status(thm)],[653, 2390])).
% 4.32/4.53 tff(2404,plain,
% 4.32/4.53 (mult(mult(a, mult(a, b)), c) = mult(a, mult(c, mult(a, b)))),
% 4.32/4.53 inference(unit_resolution,[status(thm)],[287, 2378])).
% 4.32/4.53 tff(2405,plain,
% 4.32/4.53 (mult(mult(mult(a, a), b), c) = mult(mult(a, mult(c, b)), a)),
% 4.32/4.53 inference(transitivity,[status(thm)],[1896, 269, 1414, 708])).
% 4.32/4.53 tff(2406,plain,
% 4.32/4.53 ((mult(mult(mult(a, a), b), c) = mult(mult(a, a), mult(c, b))) <=> (mult(mult(a, mult(c, b)), a) = mult(a, mult(a, mult(c, b))))),
% 4.32/4.53 inference(monotonicity,[status(thm)],[2405, 1581])).
% 4.32/4.53 tff(2407,plain,
% 4.32/4.53 ((mult(mult(a, mult(c, b)), a) = mult(a, mult(a, mult(c, b)))) <=> (mult(mult(mult(a, a), b), c) = mult(mult(a, a), mult(c, b)))),
% 4.32/4.53 inference(symmetry,[status(thm)],[2406])).
% 4.32/4.53 tff(2408,plain,
% 4.32/4.53 ((~(mult(mult(a, mult(c, b)), a) = mult(a, mult(a, mult(c, b))))) <=> (~(mult(mult(mult(a, a), b), c) = mult(mult(a, a), mult(c, b))))),
% 4.32/4.53 inference(monotonicity,[status(thm)],[2407])).
% 4.32/4.53 tff(2409,assumption,(~(mult(mult(a, mult(c, b)), a) = mult(a, mult(a, mult(c, b))))), introduced(assumption)).
% 4.32/4.53 tff(2410,plain,
% 4.32/4.53 (~(mult(mult(mult(a, a), b), c) = mult(mult(a, a), mult(c, b)))),
% 4.32/4.53 inference(modus_ponens,[status(thm)],[2409, 2408])).
% 4.32/4.53 tff(2411,plain,
% 4.32/4.53 ((~(mult(mult(mult(a, a), b), c) = mult(mult(a, a), mult(c, b)))) | (~(mult(mult(mult(a, a), c), b) = mult(mult(a, a), mult(b, c))))),
% 4.32/4.53 inference(unit_resolution,[status(thm)],[326, 2410])).
% 4.32/4.53 tff(2412,plain,
% 4.32/4.53 (~((~(mult(mult(mult(a, a), b), c) = mult(mult(a, a), mult(b, c)))) | (~(mult(mult(mult(a, a), c), b) = mult(mult(a, a), mult(c, b)))))),
% 4.32/4.53 inference(unit_resolution,[status(thm)],[338, 2411])).
% 4.32/4.53 tff(2413,plain,
% 4.32/4.53 (mult(mult(mult(a, a), b), c) = mult(mult(a, a), mult(b, c))),
% 4.32/4.53 inference(unit_resolution,[status(thm)],[317, 2412])).
% 4.32/4.53 tff(2414,plain,
% 4.32/4.53 (mult(mult(a, a), mult(b, c)) = mult(mult(mult(a, a), b), c)),
% 4.32/4.53 inference(symmetry,[status(thm)],[2413])).
% 4.32/4.53 tff(2415,plain,
% 4.32/4.53 (mult(a, mult(mult(b, c), a)) = mult(mult(a, a), mult(b, c))),
% 4.32/4.53 inference(symmetry,[status(thm)],[104])).
% 4.32/4.53 tff(2416,plain,
% 4.32/4.53 (mult(a, mult(b, mult(c, a))) = mult(a, mult(mult(b, c), a))),
% 4.32/4.53 inference(monotonicity,[status(thm)],[526])).
% 4.32/4.53 tff(2417,plain,
% 4.32/4.53 (mult(a, mult(b, mult(c, a))) = mult(a, mult(b, mult(a, c)))),
% 4.32/4.53 inference(transitivity,[status(thm)],[2416, 2415, 2414, 1896, 269, 1414, 708, 2244, 93, 160, 1632])).
% 4.32/4.53 tff(2418,plain,
% 4.32/4.53 (ld(a, mult(a, mult(b, mult(c, a)))) = ld(a, mult(a, mult(b, mult(a, c))))),
% 4.32/4.53 inference(monotonicity,[status(thm)],[2417])).
% 4.32/4.53 tff(2419,plain,
% 4.32/4.53 (mult(b, mult(c, a)) = ld(a, mult(a, mult(b, mult(c, a))))),
% 4.32/4.53 inference(symmetry,[status(thm)],[77])).
% 4.32/4.53 tff(2420,plain,
% 4.32/4.53 (mult(b, mult(c, a)) = mult(b, mult(a, c))),
% 4.32/4.53 inference(transitivity,[status(thm)],[2419, 2418, 409])).
% 4.32/4.53 tff(2421,plain,
% 4.32/4.53 ($false),
% 4.32/4.53 inference(unit_resolution,[status(thm)],[2095, 2420])).
% 4.32/4.53 tff(2422,plain,((~(mult(mult(a, mult(a, b)), c) = mult(a, mult(c, mult(a, b))))) | (mult(b, mult(c, a)) = mult(b, mult(a, c))) | (~(mult(mult(a, a), mult(b, c)) = mult(a, mult(mult(b, c), a)))) | (~(mult(mult(a, mult(c, b)), a) = mult(a, mult(mult(c, b), a)))) | (~(mult(mult(a, c), mult(b, a)) = mult(a, mult(mult(b, a), c)))) | (~(mult(mult(mult(a, c), b), a) = mult(mult(a, c), mult(b, a)))) | (~(mult(mult(a, c), b) = mult(a, mult(c, b)))) | (~(mult(mult(b, a), c) = mult(b, mult(a, c)))) | (~(mult(mult(c, b), a) = mult(c, mult(a, b)))) | (~(mult(mult(a, a), b) = mult(a, mult(a, b)))) | (~(mult(mult(b, c), a) = mult(b, mult(c, a)))) | (mult(mult(a, mult(c, b)), a) = mult(a, mult(a, mult(c, b))))), inference(lemma,lemma(discharge,[]))).
% 4.32/4.53 tff(2423,plain,
% 4.32/4.53 (mult(mult(a, mult(c, b)), a) = mult(a, mult(a, mult(c, b)))),
% 4.32/4.53 inference(unit_resolution,[status(thm)],[2422, 2404, 2403, 707, 160, 93, 788, 118, 1110, 1977, 102, 2095])).
% 4.32/4.53 tff(2424,plain,
% 4.32/4.53 (mult(mult(a, b), mult(a, c)) = mult(a, mult(b, mult(a, c)))),
% 4.32/4.53 inference(unit_resolution,[status(thm)],[2067, 2423, 160, 93, 788, 118])).
% 4.32/4.53 tff(2425,plain,
% 4.32/4.53 ($false),
% 4.32/4.53 inference(unit_resolution,[status(thm)],[2424, 2402])).
% 4.32/4.53 tff(2426,plain,((mult(mult(a, b), a) = mult(a, mult(a, b))) | (~(mult(mult(a, c), mult(b, a)) = mult(a, mult(mult(b, a), c)))) | (~(mult(mult(mult(a, c), b), a) = mult(mult(a, c), mult(b, a)))) | (~(mult(mult(b, a), c) = mult(b, mult(a, c)))) | (~(mult(mult(mult(a, b), c), a) = mult(mult(a, b), mult(a, c)))) | (~(mult(mult(a, b), c) = mult(a, mult(b, c)))) | (~(mult(mult(a, mult(c, b)), a) = mult(a, mult(mult(c, b), a)))) | (~(mult(mult(a, c), b) = mult(a, mult(c, b)))) | (~(mult(mult(c, b), a) = mult(c, mult(a, b)))) | (~(mult(mult(b, c), a) = mult(b, mult(c, a)))) | (mult(b, mult(c, a)) = mult(b, mult(a, c)))), inference(lemma,lemma(discharge,[]))).
% 4.32/4.53 tff(2427,plain,
% 4.32/4.53 (mult(mult(a, b), a) = mult(a, mult(a, b))),
% 4.32/4.53 inference(unit_resolution,[status(thm)],[2426, 135, 2229, 118, 2357, 1790, 2283, 2111, 2110, 102, 2095])).
% 4.32/4.53 tff(2428,plain,
% 4.32/4.53 (mult(mult(mult(a, b), a), c) = mult(mult(a, mult(a, b)), c)),
% 4.32/4.53 inference(monotonicity,[status(thm)],[2427])).
% 4.32/4.53 tff(2429,plain,
% 4.32/4.53 (mult(mult(a, mult(a, b)), c) = mult(mult(mult(a, b), a), c)),
% 4.32/4.53 inference(symmetry,[status(thm)],[2428])).
% 4.32/4.53 tff(2430,plain,
% 4.32/4.53 (mult(a, mult(mult(c, a), b)) = mult(a, mult(c, mult(b, a)))),
% 4.32/4.53 inference(symmetry,[status(thm)],[1282])).
% 4.32/4.53 tff(2431,assumption,(mult(mult(mult(a, b), a), c) = mult(mult(a, b), mult(c, a))), introduced(assumption)).
% 4.32/4.53 tff(2432,plain,
% 4.32/4.53 (mult(mult(a, b), mult(c, a)) = mult(mult(mult(a, b), a), c)),
% 4.32/4.53 inference(symmetry,[status(thm)],[2431])).
% 4.32/4.53 tff(2433,plain,
% 4.32/4.53 (mult(mult(a, b), mult(c, a)) = mult(mult(a, c), mult(b, a))),
% 4.32/4.53 inference(transitivity,[status(thm)],[2432, 254, 269, 2339, 708, 2244, 93])).
% 4.32/4.53 tff(2434,plain,
% 4.32/4.53 ((mult(mult(a, b), mult(c, a)) = mult(a, mult(mult(c, a), b))) <=> (mult(mult(a, c), mult(b, a)) = mult(a, mult(c, mult(b, a))))),
% 4.32/4.53 inference(monotonicity,[status(thm)],[2433, 2430])).
% 4.32/4.53 tff(2435,plain,
% 4.32/4.53 ((mult(mult(a, c), mult(b, a)) = mult(a, mult(c, mult(b, a)))) <=> (mult(mult(a, b), mult(c, a)) = mult(a, mult(mult(c, a), b)))),
% 4.32/4.53 inference(symmetry,[status(thm)],[2434])).
% 4.32/4.53 tff(2436,plain,
% 4.32/4.53 ((~(mult(mult(a, c), mult(b, a)) = mult(a, mult(c, mult(b, a))))) <=> (~(mult(mult(a, b), mult(c, a)) = mult(a, mult(mult(c, a), b))))),
% 4.32/4.53 inference(monotonicity,[status(thm)],[2435])).
% 4.32/4.53 tff(2437,plain,
% 4.32/4.53 (~(mult(mult(a, b), mult(c, a)) = mult(a, mult(mult(c, a), b)))),
% 4.32/4.53 inference(modus_ponens,[status(thm)],[119, 2436])).
% 4.32/4.53 tff(2438,plain,
% 4.32/4.53 ((~(mult(mult(a, b), mult(c, a)) = mult(a, mult(mult(c, a), b)))) | (~(mult(mult(a, mult(c, a)), b) = mult(a, mult(b, mult(c, a)))))),
% 4.32/4.53 inference(unit_resolution,[status(thm)],[203, 2437])).
% 4.32/4.53 tff(2439,plain,
% 4.32/4.53 (~((~(mult(mult(a, b), mult(c, a)) = mult(a, mult(b, mult(c, a))))) | (~(mult(mult(a, mult(c, a)), b) = mult(a, mult(mult(c, a), b)))))),
% 4.32/4.53 inference(unit_resolution,[status(thm)],[201, 2438])).
% 4.32/4.53 tff(2440,plain,
% 4.32/4.53 (mult(mult(a, mult(c, a)), b) = mult(a, mult(mult(c, a), b))),
% 4.32/4.53 inference(unit_resolution,[status(thm)],[739, 2439])).
% 4.32/4.53 tff(2441,plain,
% 4.32/4.53 (mult(mult(a, b), mult(c, a)) = mult(a, mult(b, mult(c, a)))),
% 4.32/4.53 inference(unit_resolution,[status(thm)],[196, 2439])).
% 4.32/4.53 tff(2442,plain,
% 4.32/4.53 (mult(mult(a, c), mult(b, a)) = mult(a, mult(c, mult(b, a)))),
% 4.32/4.53 inference(transitivity,[status(thm)],[153, 958, 707, 2340, 270, 255, 2431, 2441, 1737, 2440, 2430])).
% 4.32/4.53 tff(2443,plain,
% 4.32/4.53 ($false),
% 4.32/4.53 inference(unit_resolution,[status(thm)],[119, 2442])).
% 4.32/4.53 tff(2444,plain,((~(mult(mult(a, mult(a, b)), c) = mult(a, mult(c, mult(a, b))))) | (mult(mult(a, c), mult(b, a)) = mult(a, mult(c, mult(b, a)))) | (~(mult(mult(mult(a, c), b), a) = mult(mult(a, c), mult(b, a)))) | (~(mult(mult(a, mult(c, a)), b) = mult(a, mult(b, mult(c, a))))) | (~(mult(mult(mult(a, b), a), c) = mult(mult(a, b), mult(c, a)))) | (~(mult(mult(a, mult(c, b)), a) = mult(a, mult(mult(c, b), a)))) | (~(mult(mult(a, b), a) = mult(a, mult(a, b)))) | (~(mult(mult(c, a), b) = mult(c, mult(b, a)))) | (~(mult(mult(a, c), b) = mult(a, mult(c, b))))), inference(lemma,lemma(discharge,[]))).
% 4.32/4.53 tff(2445,plain,
% 4.32/4.53 (~(mult(mult(a, mult(a, b)), c) = mult(a, mult(c, mult(a, b))))),
% 4.32/4.53 inference(unit_resolution,[status(thm)],[2444, 119, 2229, 2116, 1691, 2283, 2427, 342, 2111])).
% 4.32/4.53 tff(2446,plain,
% 4.32/4.53 ((~(mult(mult(a, mult(a, b)), c) = mult(a, mult(c, mult(a, b))))) | (~(mult(mult(a, c), mult(a, b)) = mult(a, mult(mult(a, b), c))))),
% 4.32/4.53 inference(unit_resolution,[status(thm)],[287, 2445])).
% 4.32/4.53 tff(2447,plain,
% 4.32/4.53 (~((~(mult(mult(a, mult(a, b)), c) = mult(a, mult(mult(a, b), c)))) | (~(mult(mult(a, c), mult(a, b)) = mult(a, mult(c, mult(a, b))))))),
% 4.32/4.53 inference(unit_resolution,[status(thm)],[292, 2446])).
% 4.32/4.53 tff(2448,plain,
% 4.32/4.53 (mult(mult(a, mult(a, b)), c) = mult(a, mult(mult(a, b), c))),
% 4.32/4.53 inference(unit_resolution,[status(thm)],[266, 2447])).
% 4.32/4.53 tff(2449,plain,
% 4.32/4.53 (mult(a, mult(mult(a, b), c)) = mult(mult(a, mult(a, b)), c)),
% 4.32/4.53 inference(symmetry,[status(thm)],[2448])).
% 4.32/4.53 tff(2450,plain,
% 4.32/4.53 (mult(mult(mult(a, b), c), a) = mult(mult(a, b), mult(c, a))),
% 4.32/4.53 inference(transitivity,[status(thm)],[1794, 1803, 1792, 2449, 2429, 1691])).
% 4.32/4.53 tff(2451,plain,
% 4.32/4.53 ($false),
% 4.32/4.53 inference(unit_resolution,[status(thm)],[1687, 2450])).
% 4.32/4.53 tff(2452,plain,((mult(mult(a, c), mult(b, a)) = mult(a, mult(c, mult(b, a)))) | (mult(mult(mult(a, b), c), a) = mult(mult(a, b), mult(c, a))) | (~(mult(mult(c, a), b) = mult(c, mult(b, a)))) | (~(mult(mult(b, a), c) = mult(b, mult(a, c)))) | (~(mult(mult(b, c), a) = mult(b, mult(c, a)))) | (mult(b, mult(c, a)) = mult(b, mult(a, c))) | (mult(mult(a, b), c) = mult(a, mult(c, b)))), inference(lemma,lemma(discharge,[]))).
% 4.32/4.53 tff(2453,plain,
% 4.32/4.53 (mult(mult(a, c), mult(b, a)) = mult(a, mult(c, mult(b, a)))),
% 4.32/4.53 inference(unit_resolution,[status(thm)],[2452, 1687, 342, 118, 102, 2095, 1787])).
% 4.32/4.53 tff(2454,plain,
% 4.32/4.53 (mult(mult(mult(a, c), b), a) = mult(mult(a, mult(c, b)), a)),
% 4.32/4.53 inference(monotonicity,[status(thm)],[2111])).
% 4.32/4.53 tff(2455,plain,
% 4.32/4.53 (mult(mult(a, mult(c, b)), a) = mult(mult(mult(a, c), b), a)),
% 4.32/4.53 inference(symmetry,[status(thm)],[2454])).
% 4.32/4.53 tff(2456,assumption,(mult(c, a) = mult(a, c)), introduced(assumption)).
% 4.32/4.53 tff(2457,plain,
% 4.32/4.53 (mult(b, mult(c, a)) = mult(b, mult(a, c))),
% 4.32/4.53 inference(monotonicity,[status(thm)],[2456])).
% 4.32/4.53 tff(2458,plain,
% 4.32/4.53 ($false),
% 4.32/4.53 inference(unit_resolution,[status(thm)],[2457, 2095])).
% 4.32/4.53 tff(2459,plain,((~(mult(c, a) = mult(a, c))) | (mult(b, mult(c, a)) = mult(b, mult(a, c)))), inference(lemma,lemma(discharge,[]))).
% 4.32/4.53 tff(2460,plain,
% 4.32/4.53 (~(mult(c, a) = mult(a, c))),
% 4.32/4.53 inference(unit_resolution,[status(thm)],[2459, 2095])).
% 4.32/4.53 tff(2461,plain,
% 4.32/4.53 (mult(a, mult(mult(c, a), b)) = mult(a, mult(a, mult(c, b)))),
% 4.32/4.53 inference(transitivity,[status(thm)],[352, 527, 153, 958, 249])).
% 4.32/4.53 tff(2462,plain,
% 4.32/4.53 (ld(a, mult(a, mult(mult(c, a), b))) = ld(a, mult(a, mult(a, mult(c, b))))),
% 4.32/4.53 inference(monotonicity,[status(thm)],[2461])).
% 4.32/4.53 tff(2463,plain,
% 4.32/4.53 (mult(mult(c, a), b) = mult(mult(a, c), b)),
% 4.32/4.54 inference(transitivity,[status(thm)],[210, 2462, 802, 797])).
% 4.32/4.54 tff(2464,plain,
% 4.32/4.54 (rd(mult(mult(c, a), b), b) = rd(mult(mult(a, c), b), b)),
% 4.32/4.54 inference(monotonicity,[status(thm)],[2463])).
% 4.32/4.54 tff(2465,plain,
% 4.32/4.54 (mult(c, a) = mult(a, c)),
% 4.32/4.54 inference(transitivity,[status(thm)],[359, 2464, 344])).
% 4.32/4.54 tff(2466,assumption,(~(mult(c, a) = mult(a, c))), introduced(assumption)).
% 4.32/4.54 tff(2467,plain,
% 4.32/4.54 ($false),
% 4.32/4.54 inference(unit_resolution,[status(thm)],[2466, 2465])).
% 4.32/4.54 tff(2468,plain,((~(mult(mult(a, mult(c, b)), a) = mult(a, mult(a, mult(c, b))))) | (mult(c, a) = mult(a, c)) | (~(mult(mult(a, c), b) = mult(a, mult(c, b)))) | (~(mult(mult(a, c), mult(b, a)) = mult(a, mult(c, mult(b, a))))) | (~(mult(mult(mult(a, c), b), a) = mult(mult(a, c), mult(b, a)))) | (~(mult(mult(c, a), b) = mult(c, mult(b, a))))), inference(lemma,lemma(discharge,[]))).
% 4.32/4.54 tff(2469,plain,
% 4.32/4.54 (~(mult(mult(a, mult(c, b)), a) = mult(a, mult(a, mult(c, b))))),
% 4.32/4.54 inference(unit_resolution,[status(thm)],[2468, 2453, 2111, 2460, 2229, 342])).
% 4.32/4.54 tff(2470,plain,
% 4.32/4.54 ((~(mult(mult(a, a), mult(c, b)) = mult(a, mult(mult(c, b), a)))) | (~(mult(mult(a, mult(c, b)), a) = mult(a, mult(a, mult(c, b)))))),
% 4.32/4.54 inference(unit_resolution,[status(thm)],[88, 2469])).
% 4.32/4.54 tff(2471,plain,
% 4.32/4.54 (mult(mult(a, mult(c, b)), a) = mult(a, mult(mult(c, b), a))),
% 4.32/4.54 inference(unit_resolution,[status(thm)],[86, 2470])).
% 4.32/4.54 tff(2472,plain,
% 4.32/4.54 (mult(a, mult(mult(c, b), a)) = mult(mult(a, mult(c, b)), a)),
% 4.32/4.54 inference(symmetry,[status(thm)],[2471])).
% 4.32/4.54 tff(2473,plain,
% 4.32/4.54 (mult(a, mult(c, mult(a, b))) = mult(a, mult(mult(c, a), b))),
% 4.32/4.54 inference(transitivity,[status(thm)],[2339, 2472, 2455, 2229, 2453, 2096])).
% 4.32/4.54 tff(2474,plain,
% 4.32/4.54 (ld(a, mult(a, mult(c, mult(a, b)))) = ld(a, mult(a, mult(mult(c, a), b)))),
% 4.32/4.54 inference(monotonicity,[status(thm)],[2473])).
% 4.32/4.54 tff(2475,plain,
% 4.32/4.54 (mult(c, mult(a, b)) = mult(c, mult(b, a))),
% 4.32/4.54 inference(transitivity,[status(thm)],[668, 2474, 209, 342])).
% 4.32/4.54 tff(2476,plain,
% 4.32/4.54 (ld(c, mult(c, mult(a, b))) = ld(c, mult(c, mult(b, a)))),
% 4.32/4.54 inference(monotonicity,[status(thm)],[2475])).
% 4.32/4.54 tff(2477,plain,
% 4.32/4.54 (ld(c, mult(c, mult(b, a))) = ld(c, mult(c, mult(a, b)))),
% 4.32/4.54 inference(symmetry,[status(thm)],[2476])).
% 4.32/4.54 tff(2478,plain,
% 4.32/4.54 (mult(b, a) = ld(c, mult(c, mult(b, a)))),
% 4.32/4.54 inference(symmetry,[status(thm)],[1585])).
% 4.32/4.54 tff(2479,plain,
% 4.32/4.54 (mult(b, a) = mult(a, b)),
% 4.32/4.54 inference(transitivity,[status(thm)],[2478, 2477, 13])).
% 4.32/4.54 tff(2480,plain,
% 4.32/4.54 (mult(a, mult(b, a)) = mult(a, mult(a, b))),
% 4.32/4.54 inference(monotonicity,[status(thm)],[2479])).
% 4.32/4.54 tff(2481,plain,
% 4.32/4.54 (mult(a, mult(a, b)) = mult(a, mult(b, a))),
% 4.32/4.54 inference(symmetry,[status(thm)],[2480])).
% 4.32/4.54 tff(2482,plain,
% 4.32/4.54 ((mult(mult(a, a), b) = mult(a, mult(a, b))) <=> (mult(mult(a, a), b) = mult(a, mult(b, a)))),
% 4.32/4.54 inference(monotonicity,[status(thm)],[2481])).
% 4.32/4.54 tff(2483,plain,
% 4.32/4.54 ((mult(mult(a, a), b) = mult(a, mult(b, a))) <=> (mult(mult(a, a), b) = mult(a, mult(a, b)))),
% 4.32/4.54 inference(symmetry,[status(thm)],[2482])).
% 4.32/4.54 tff(2484,plain,
% 4.32/4.54 (mult(mult(b, a), c) = mult(mult(a, b), c)),
% 4.32/4.54 inference(monotonicity,[status(thm)],[2479])).
% 4.32/4.54 tff(2485,plain,
% 4.32/4.54 (mult(mult(a, b), c) = mult(mult(b, a), c)),
% 4.32/4.54 inference(symmetry,[status(thm)],[2484])).
% 4.32/4.54 tff(2486,plain,
% 4.32/4.54 (mult(mult(a, b), c) = mult(b, mult(a, c))),
% 4.32/4.54 inference(transitivity,[status(thm)],[2485, 118])).
% 4.32/4.54 tff(2487,plain,
% 4.32/4.54 (mult(a, mult(mult(a, b), c)) = mult(a, mult(b, mult(a, c)))),
% 4.32/4.54 inference(monotonicity,[status(thm)],[2486])).
% 4.32/4.54 tff(2488,plain,
% 4.32/4.54 (mult(a, mult(b, mult(a, c))) = mult(a, mult(mult(a, b), c))),
% 4.32/4.54 inference(symmetry,[status(thm)],[2487])).
% 4.32/4.54 tff(2489,plain,
% 4.32/4.54 (mult(a, mult(mult(b, a), c)) = mult(mult(mult(a, b), c), a)),
% 4.32/4.54 inference(transitivity,[status(thm)],[1632, 2488, 1793, 2326, 1795])).
% 4.32/4.54 tff(2490,plain,
% 4.32/4.54 (mult(a, mult(c, mult(a, b))) = mult(a, mult(mult(c, a), b))),
% 4.32/4.54 inference(transitivity,[status(thm)],[2339, 708, 2244, 93, 368, 2096])).
% 4.32/4.54 tff(2491,plain,
% 4.32/4.54 (ld(a, mult(a, mult(c, mult(a, b)))) = ld(a, mult(a, mult(mult(c, a), b)))),
% 4.32/4.54 inference(monotonicity,[status(thm)],[2490])).
% 4.32/4.54 tff(2492,plain,
% 4.32/4.54 (mult(c, mult(a, b)) = mult(c, mult(b, a))),
% 4.32/4.54 inference(transitivity,[status(thm)],[668, 2491, 209, 342])).
% 4.32/4.54 tff(2493,plain,
% 4.32/4.54 (ld(c, mult(c, mult(a, b))) = ld(c, mult(c, mult(b, a)))),
% 4.32/4.54 inference(monotonicity,[status(thm)],[2492])).
% 4.32/4.54 tff(2494,plain,
% 4.32/4.54 (mult(a, b) = mult(b, a)),
% 4.32/4.54 inference(transitivity,[status(thm)],[1604, 2493, 1585])).
% 4.32/4.54 tff(2495,plain,
% 4.32/4.54 (mult(a, mult(a, b)) = mult(a, mult(b, a))),
% 4.32/4.54 inference(monotonicity,[status(thm)],[2494])).
% 4.32/4.54 tff(2496,plain,
% 4.32/4.54 ((mult(mult(a, b), a) = mult(a, mult(a, b))) <=> (mult(mult(a, b), a) = mult(a, mult(b, a)))),
% 4.32/4.54 inference(monotonicity,[status(thm)],[2495])).
% 4.32/4.54 tff(2497,plain,
% 4.32/4.54 ((mult(mult(a, b), a) = mult(a, mult(b, a))) <=> (mult(mult(a, b), a) = mult(a, mult(a, b)))),
% 4.32/4.54 inference(symmetry,[status(thm)],[2496])).
% 4.32/4.54 tff(2498,plain,
% 4.32/4.54 (mult(mult(a, b), a) = mult(a, mult(a, b))),
% 4.32/4.54 inference(modus_ponens,[status(thm)],[1949, 2497])).
% 4.32/4.54 tff(2499,plain,
% 4.32/4.54 ($false),
% 4.32/4.54 inference(unit_resolution,[status(thm)],[1946, 2498])).
% 4.32/4.54 tff(2500,plain,((mult(mult(a, b), a) = mult(a, mult(a, b))) | (~(mult(mult(c, a), b) = mult(c, mult(b, a)))) | (~(mult(mult(a, c), mult(b, a)) = mult(a, mult(c, mult(b, a))))) | (~(mult(mult(mult(a, c), b), a) = mult(mult(a, c), mult(b, a)))) | (~(mult(mult(a, mult(c, b)), a) = mult(a, mult(mult(c, b), a)))) | (~(mult(mult(a, c), b) = mult(a, mult(c, b))))), inference(lemma,lemma(discharge,[]))).
% 4.32/4.54 tff(2501,plain,
% 4.32/4.54 (mult(mult(a, b), a) = mult(a, mult(a, b))),
% 4.32/4.54 inference(unit_resolution,[status(thm)],[2500, 2453, 342, 2229, 2471, 2111])).
% 4.32/4.54 tff(2502,plain,
% 4.32/4.54 (mult(mult(a, b), a) = mult(a, mult(b, a))),
% 4.32/4.54 inference(transitivity,[status(thm)],[2501, 2481])).
% 4.32/4.54 tff(2503,plain,
% 4.32/4.54 (mult(mult(mult(a, b), a), c) = mult(mult(a, mult(b, a)), c)),
% 4.32/4.54 inference(monotonicity,[status(thm)],[2502])).
% 4.32/4.54 tff(2504,plain,
% 4.32/4.54 (mult(mult(a, mult(b, a)), c) = mult(mult(mult(a, b), a), c)),
% 4.32/4.54 inference(symmetry,[status(thm)],[2503])).
% 4.32/4.54 tff(2505,plain,
% 4.32/4.54 (mult(mult(a, mult(b, a)), c) = mult(mult(a, b), mult(c, a))),
% 4.32/4.54 inference(transitivity,[status(thm)],[2504, 1691])).
% 4.32/4.54 tff(2506,plain,
% 4.32/4.54 ((mult(mult(a, mult(b, a)), c) = mult(a, mult(mult(b, a), c))) <=> (mult(mult(a, b), mult(c, a)) = mult(mult(mult(a, b), c), a))),
% 4.32/4.54 inference(monotonicity,[status(thm)],[2505, 2489])).
% 4.32/4.54 tff(2507,plain,
% 4.32/4.54 ((mult(mult(a, mult(b, a)), c) = mult(a, mult(mult(b, a), c))) <=> (mult(mult(mult(a, b), c), a) = mult(mult(a, b), mult(c, a)))),
% 4.32/4.54 inference(transitivity,[status(thm)],[2506, 1693])).
% 4.32/4.54 tff(2508,plain,
% 4.32/4.54 ((mult(mult(mult(a, b), c), a) = mult(mult(a, b), mult(c, a))) <=> (mult(mult(a, mult(b, a)), c) = mult(a, mult(mult(b, a), c)))),
% 4.32/4.54 inference(symmetry,[status(thm)],[2507])).
% 4.32/4.54 tff(2509,plain,
% 4.32/4.54 ((~(mult(mult(mult(a, b), c), a) = mult(mult(a, b), mult(c, a)))) <=> (~(mult(mult(a, mult(b, a)), c) = mult(a, mult(mult(b, a), c))))),
% 4.32/4.54 inference(monotonicity,[status(thm)],[2508])).
% 4.32/4.54 tff(2510,plain,
% 4.32/4.54 (~(mult(mult(a, mult(b, a)), c) = mult(a, mult(mult(b, a), c)))),
% 4.32/4.54 inference(modus_ponens,[status(thm)],[1687, 2509])).
% 4.32/4.54 tff(2511,plain,
% 4.32/4.54 ((~(mult(mult(a, c), mult(b, a)) = mult(a, mult(c, mult(b, a))))) | (~(mult(mult(a, mult(b, a)), c) = mult(a, mult(mult(b, a), c))))),
% 4.32/4.54 inference(unit_resolution,[status(thm)],[1395, 2510])).
% 4.32/4.54 tff(2512,plain,
% 4.32/4.54 (~((~(mult(mult(a, c), mult(b, a)) = mult(a, mult(mult(b, a), c)))) | (~(mult(mult(a, mult(b, a)), c) = mult(a, mult(c, mult(b, a))))))),
% 4.32/4.54 inference(unit_resolution,[status(thm)],[132, 2511])).
% 4.32/4.54 tff(2513,plain,
% 4.32/4.54 (mult(mult(a, c), mult(b, a)) = mult(a, mult(mult(b, a), c))),
% 4.32/4.54 inference(unit_resolution,[status(thm)],[134, 2512])).
% 4.32/4.54 tff(2514,plain,
% 4.32/4.54 (mult(a, mult(mult(a, b), c)) = mult(a, mult(mult(b, a), c))),
% 4.32/4.54 inference(transitivity,[status(thm)],[2487, 1627])).
% 4.32/4.54 tff(2515,plain,
% 4.32/4.54 (mult(mult(a, mult(a, b)), c) = mult(mult(a, mult(b, a)), c)),
% 4.32/4.54 inference(monotonicity,[status(thm)],[2481])).
% 4.32/4.54 tff(2516,plain,
% 4.32/4.54 ((mult(mult(a, mult(a, b)), c) = mult(a, mult(mult(a, b), c))) <=> (mult(mult(a, mult(b, a)), c) = mult(a, mult(mult(b, a), c)))),
% 4.32/4.54 inference(monotonicity,[status(thm)],[2515, 2514])).
% 4.32/4.54 tff(2517,plain,
% 4.32/4.54 ((mult(mult(a, mult(b, a)), c) = mult(a, mult(mult(b, a), c))) <=> (mult(mult(a, mult(a, b)), c) = mult(a, mult(mult(a, b), c)))),
% 4.32/4.54 inference(symmetry,[status(thm)],[2516])).
% 4.32/4.54 tff(2518,plain,
% 4.32/4.54 ((mult(mult(mult(a, b), c), a) = mult(mult(a, b), mult(c, a))) <=> (mult(mult(a, mult(a, b)), c) = mult(a, mult(mult(a, b), c)))),
% 4.32/4.54 inference(transitivity,[status(thm)],[2508, 2517])).
% 4.32/4.54 tff(2519,plain,
% 4.32/4.54 ((~(mult(mult(mult(a, b), c), a) = mult(mult(a, b), mult(c, a)))) <=> (~(mult(mult(a, mult(a, b)), c) = mult(a, mult(mult(a, b), c))))),
% 4.32/4.54 inference(monotonicity,[status(thm)],[2518])).
% 4.32/4.54 tff(2520,plain,
% 4.32/4.54 (~(mult(mult(a, mult(a, b)), c) = mult(a, mult(mult(a, b), c)))),
% 4.32/4.54 inference(modus_ponens,[status(thm)],[1687, 2519])).
% 4.32/4.54 tff(2521,plain,
% 4.32/4.54 ((~(mult(mult(a, mult(a, b)), c) = mult(a, mult(mult(a, b), c)))) | (~(mult(mult(a, c), mult(a, b)) = mult(a, mult(c, mult(a, b)))))),
% 4.32/4.54 inference(unit_resolution,[status(thm)],[266, 2520])).
% 4.32/4.54 tff(2522,plain,
% 4.32/4.54 (~((~(mult(mult(a, mult(a, b)), c) = mult(a, mult(c, mult(a, b))))) | (~(mult(mult(a, c), mult(a, b)) = mult(a, mult(mult(a, b), c)))))),
% 4.32/4.54 inference(unit_resolution,[status(thm)],[292, 2521])).
% 4.32/4.54 tff(2523,plain,
% 4.32/4.54 (mult(mult(a, mult(a, b)), c) = mult(a, mult(c, mult(a, b)))),
% 4.32/4.54 inference(unit_resolution,[status(thm)],[287, 2522])).
% 4.32/4.54 tff(2524,plain,
% 4.32/4.54 (~(mult(mult(a, a), b) = mult(a, mult(a, b)))),
% 4.32/4.54 inference(unit_resolution,[status(thm)],[2422, 2523, 1825, 2471, 2513, 2229, 2111, 118, 2110, 2469, 102, 2095])).
% 4.32/4.54 tff(2525,plain,
% 4.32/4.54 ((~(mult(mult(a, a), b) = mult(a, mult(a, b)))) | (~(mult(mult(a, b), a) = mult(a, mult(b, a))))),
% 4.32/4.54 inference(unit_resolution,[status(thm)],[443, 2524])).
% 4.32/4.54 tff(2526,plain,
% 4.32/4.54 (~((~(mult(mult(a, a), b) = mult(a, mult(b, a)))) | (~(mult(mult(a, b), a) = mult(a, mult(a, b)))))),
% 4.32/4.54 inference(unit_resolution,[status(thm)],[244, 2525])).
% 4.32/4.54 tff(2527,plain,
% 4.32/4.54 (mult(mult(a, a), b) = mult(a, mult(b, a))),
% 4.32/4.54 inference(unit_resolution,[status(thm)],[308, 2526])).
% 4.32/4.54 tff(2528,plain,
% 4.32/4.54 (mult(mult(a, a), b) = mult(a, mult(a, b))),
% 4.32/4.54 inference(modus_ponens,[status(thm)],[2527, 2483])).
% 4.32/4.54 tff(2529,plain,
% 4.32/4.54 ($false),
% 4.32/4.54 inference(unit_resolution,[status(thm)],[2524, 2528])).
% 4.32/4.54 tff(2530,plain,((mult(mult(mult(a, b), c), a) = mult(mult(a, b), mult(c, a))) | (~(mult(mult(c, a), b) = mult(c, mult(b, a)))) | (~(mult(mult(b, a), c) = mult(b, mult(a, c)))) | (~(mult(mult(b, c), a) = mult(b, mult(c, a)))) | (mult(b, mult(c, a)) = mult(b, mult(a, c))) | (mult(mult(a, b), c) = mult(a, mult(c, b)))), inference(lemma,lemma(discharge,[]))).
% 4.32/4.54 tff(2531,plain,
% 4.32/4.54 (mult(mult(mult(a, b), c), a) = mult(mult(a, b), mult(c, a))),
% 4.32/4.54 inference(unit_resolution,[status(thm)],[2530, 1787, 118, 102, 2095, 342])).
% 4.32/4.54 tff(2532,plain,
% 4.32/4.54 (mult(mult(a, b), mult(c, a)) = mult(mult(mult(a, b), c), a)),
% 4.32/4.54 inference(symmetry,[status(thm)],[2531])).
% 4.32/4.54 tff(2533,plain,
% 4.32/4.54 (mult(mult(mult(a, c), b), a) = mult(mult(a, c), mult(b, a))),
% 4.32/4.54 inference(unit_resolution,[status(thm)],[2228, 1787, 1736, 102, 342, 118])).
% 4.32/4.54 tff(2534,plain,
% 4.32/4.54 (~(mult(mult(a, c), mult(b, a)) = mult(a, mult(c, mult(b, a))))),
% 4.32/4.54 inference(unit_resolution,[status(thm)],[2468, 89, 2111, 2466, 2533, 342])).
% 4.32/4.54 tff(2535,plain,
% 4.32/4.54 (~(mult(mult(a, c), mult(b, a)) = mult(a, mult(mult(b, a), c)))),
% 4.32/4.54 inference(unit_resolution,[status(thm)],[2282, 78, 1736, 2110, 102, 1787, 2533, 118])).
% 4.32/4.54 tff(2536,plain,
% 4.32/4.54 ((~(mult(mult(a, c), mult(b, a)) = mult(a, mult(mult(b, a), c)))) | (~(mult(mult(a, mult(b, a)), c) = mult(a, mult(c, mult(b, a)))))),
% 4.32/4.54 inference(unit_resolution,[status(thm)],[134, 2535])).
% 4.32/4.54 tff(2537,plain,
% 4.32/4.54 (~((~(mult(mult(a, c), mult(b, a)) = mult(a, mult(c, mult(b, a))))) | (~(mult(mult(a, mult(b, a)), c) = mult(a, mult(mult(b, a), c)))))),
% 4.32/4.54 inference(unit_resolution,[status(thm)],[132, 2536])).
% 4.32/4.54 tff(2538,plain,
% 4.32/4.54 ($false),
% 4.32/4.54 inference(unit_resolution,[status(thm)],[120, 2537, 2534])).
% 4.32/4.54 tff(2539,plain,((mult(mult(a, mult(c, b)), a) = mult(a, mult(mult(c, b), a))) | (mult(c, a) = mult(a, c)) | (~(mult(mult(c, a), b) = mult(c, mult(b, a)))) | (~(mult(mult(a, mult(c, a)), b) = mult(a, mult(b, mult(c, a))))) | (~(mult(mult(b, c), a) = mult(b, mult(c, a)))) | (mult(mult(a, b), c) = mult(a, mult(c, b))) | (~(mult(mult(b, a), c) = mult(b, mult(a, c))))), inference(lemma,lemma(discharge,[]))).
% 4.32/4.54 tff(2540,plain,
% 4.32/4.54 (mult(mult(a, mult(c, b)), a) = mult(a, mult(mult(c, b), a))),
% 4.32/4.54 inference(unit_resolution,[status(thm)],[2539, 1787, 342, 2116, 102, 2460, 118])).
% 4.32/4.54 tff(2541,plain,
% 4.32/4.54 (mult(a, mult(mult(c, b), a)) = mult(a, mult(c, mult(a, b)))),
% 4.32/4.54 inference(monotonicity,[status(thm)],[2110])).
% 4.32/4.54 tff(2542,plain,
% 4.32/4.54 (mult(a, mult(c, mult(a, b))) = mult(a, mult(mult(c, b), a))),
% 4.32/4.54 inference(symmetry,[status(thm)],[2541])).
% 4.32/4.54 tff(2543,plain,
% 4.32/4.54 (mult(mult(a, b), a) = mult(a, mult(a, b))),
% 4.32/4.54 inference(unit_resolution,[status(thm)],[2426, 135, 93, 118, 168, 59, 707, 788, 2110, 102, 2095])).
% 4.32/4.54 tff(2544,plain,
% 4.32/4.54 (mult(mult(a, b), mult(c, a)) = mult(mult(a, b), mult(a, c))),
% 4.32/4.54 inference(transitivity,[status(thm)],[371, 168])).
% 4.32/4.54 tff(2545,plain,
% 4.32/4.54 (mult(mult(mult(a, b), a), c) = mult(a, mult(b, mult(a, c)))),
% 4.32/4.54 inference(transitivity,[status(thm)],[254, 269, 2339, 708, 2244, 93, 135, 1632])).
% 4.32/4.54 tff(2546,plain,
% 4.32/4.54 ((mult(mult(mult(a, b), a), c) = mult(mult(a, b), mult(c, a))) <=> (mult(a, mult(b, mult(a, c))) = mult(mult(a, b), mult(a, c)))),
% 4.32/4.54 inference(monotonicity,[status(thm)],[2545, 2544])).
% 4.32/4.54 tff(2547,plain,
% 4.32/4.54 ((mult(mult(mult(a, b), a), c) = mult(mult(a, b), mult(c, a))) <=> (mult(mult(a, b), mult(a, c)) = mult(a, mult(b, mult(a, c))))),
% 4.32/4.54 inference(transitivity,[status(thm)],[2546, 1169])).
% 4.32/4.54 tff(2548,plain,
% 4.32/4.54 ((mult(mult(a, b), mult(a, c)) = mult(a, mult(b, mult(a, c)))) <=> (mult(mult(mult(a, b), a), c) = mult(mult(a, b), mult(c, a)))),
% 4.32/4.54 inference(symmetry,[status(thm)],[2547])).
% 4.32/4.54 tff(2549,plain,
% 4.32/4.54 (~(mult(mult(mult(a, b), a), c) = mult(mult(a, b), mult(c, a)))),
% 4.32/4.54 inference(unit_resolution,[status(thm)],[2444, 269, 93, 1736, 119, 707, 250, 342, 788])).
% 4.32/4.54 tff(2550,plain,
% 4.32/4.54 ((~(mult(mult(mult(a, b), a), c) = mult(mult(a, b), mult(c, a)))) | (~(mult(mult(mult(a, b), c), a) = mult(mult(a, b), mult(a, c))))),
% 4.32/4.54 inference(unit_resolution,[status(thm)],[1690, 2549])).
% 4.32/4.54 tff(2551,plain,
% 4.32/4.54 (~((~(mult(mult(mult(a, b), a), c) = mult(mult(a, b), mult(a, c)))) | (~(mult(mult(mult(a, b), c), a) = mult(mult(a, b), mult(c, a)))))),
% 4.32/4.54 inference(unit_resolution,[status(thm)],[183, 2550])).
% 4.32/4.54 tff(2552,plain,
% 4.32/4.54 (mult(mult(mult(a, b), a), c) = mult(mult(a, b), mult(a, c))),
% 4.32/4.54 inference(unit_resolution,[status(thm)],[211, 2551])).
% 4.32/4.54 tff(2553,plain,
% 4.32/4.54 (mult(mult(a, b), mult(a, c)) = mult(mult(mult(a, b), a), c)),
% 4.32/4.54 inference(symmetry,[status(thm)],[2552])).
% 4.32/4.54 tff(2554,plain,
% 4.32/4.54 (mult(mult(a, b), mult(a, c)) = mult(a, mult(b, mult(a, c)))),
% 4.32/4.54 inference(transitivity,[status(thm)],[2553, 254, 269, 2339, 708, 2244, 93, 135, 1632])).
% 4.32/4.54 tff(2555,plain,
% 4.32/4.54 (mult(mult(mult(a, b), a), c) = mult(mult(a, b), mult(c, a))),
% 4.32/4.54 inference(modus_ponens,[status(thm)],[2554, 2548])).
% 4.32/4.54 tff(2556,plain,
% 4.32/4.54 ($false),
% 4.32/4.54 inference(unit_resolution,[status(thm)],[2549, 2555])).
% 4.32/4.54 tff(2557,plain,((~(mult(mult(a, mult(a, b)), c) = mult(a, mult(c, mult(a, b))))) | (~(mult(mult(mult(a, b), c), a) = mult(mult(a, b), mult(c, a)))) | (~(mult(mult(mult(a, b), c), a) = mult(mult(a, b), mult(a, c)))) | (~(mult(mult(a, mult(c, b)), a) = mult(a, mult(mult(c, b), a)))) | (~(mult(mult(mult(a, c), b), a) = mult(mult(a, c), mult(b, a)))) | (~(mult(mult(a, c), b) = mult(a, mult(c, b)))) | (~(mult(mult(b, a), c) = mult(b, mult(a, c)))) | (~(mult(mult(a, b), a) = mult(a, mult(a, b)))) | (~(mult(mult(a, mult(c, a)), b) = mult(a, mult(b, mult(c, a))))) | (mult(mult(a, c), mult(b, a)) = mult(a, mult(c, mult(b, a)))) | (~(mult(mult(c, a), b) = mult(c, mult(b, a))))), inference(lemma,lemma(discharge,[]))).
% 4.32/4.54 tff(2558,plain,
% 4.32/4.54 (~(mult(mult(a, mult(a, b)), c) = mult(a, mult(c, mult(a, b))))),
% 4.32/4.54 inference(unit_resolution,[status(thm)],[2557, 2543, 168, 707, 93, 788, 118, 370, 2116, 119, 342])).
% 4.32/4.54 tff(2559,plain,
% 4.32/4.54 ((~(mult(mult(a, mult(a, b)), c) = mult(a, mult(c, mult(a, b))))) | (~(mult(mult(a, c), mult(a, b)) = mult(a, mult(mult(a, b), c))))),
% 4.32/4.54 inference(unit_resolution,[status(thm)],[287, 2558])).
% 4.32/4.54 tff(2560,plain,
% 4.32/4.54 (~((~(mult(mult(a, mult(a, b)), c) = mult(a, mult(mult(a, b), c)))) | (~(mult(mult(a, c), mult(a, b)) = mult(a, mult(c, mult(a, b))))))),
% 4.32/4.54 inference(unit_resolution,[status(thm)],[292, 2559])).
% 4.32/4.54 tff(2561,plain,
% 4.32/4.54 (mult(mult(a, c), mult(a, b)) = mult(a, mult(c, mult(a, b)))),
% 4.32/4.54 inference(unit_resolution,[status(thm)],[604, 2560])).
% 4.32/4.54 tff(2562,plain,
% 4.32/4.54 (mult(mult(a, c), mult(a, b)) = mult(mult(a, c), mult(b, a))),
% 4.32/4.54 inference(transitivity,[status(thm)],[2561, 2542, 708, 2244, 93])).
% 4.32/4.54 tff(2563,plain,
% 4.32/4.54 (ld(mult(a, c), mult(mult(a, c), mult(a, b))) = ld(mult(a, c), mult(mult(a, c), mult(b, a)))),
% 4.32/4.54 inference(monotonicity,[status(thm)],[2562])).
% 4.32/4.54 tff(2564,plain,
% 4.32/4.54 (mult(a, b) = mult(b, a)),
% 4.32/4.54 inference(transitivity,[status(thm)],[2369, 2563, 2364])).
% 4.32/4.54 tff(2565,plain,
% 4.32/4.54 (mult(mult(a, b), c) = mult(mult(b, a), c)),
% 4.32/4.54 inference(monotonicity,[status(thm)],[2564])).
% 4.32/4.54 tff(2566,plain,
% 4.32/4.54 (mult(mult(b, a), c) = mult(mult(a, b), c)),
% 4.32/4.54 inference(symmetry,[status(thm)],[2565])).
% 4.32/4.54 tff(2567,plain,
% 4.32/4.54 (mult(a, mult(b, mult(a, c))) = mult(a, mult(c, mult(a, b)))),
% 4.32/4.54 inference(transitivity,[status(thm)],[1627, 1626, 153, 958, 707, 2541])).
% 4.32/4.54 tff(2568,plain,
% 4.32/4.54 (ld(a, mult(a, mult(b, mult(a, c)))) = ld(a, mult(a, mult(c, mult(a, b))))),
% 4.32/4.54 inference(monotonicity,[status(thm)],[2567])).
% 4.32/4.54 tff(2569,plain,
% 4.32/4.54 (ld(a, mult(a, mult(c, mult(a, b)))) = ld(a, mult(a, mult(b, mult(a, c))))),
% 4.32/4.54 inference(symmetry,[status(thm)],[2568])).
% 4.32/4.54 tff(2570,plain,
% 4.32/4.54 (mult(c, mult(a, b)) = mult(mult(a, b), c)),
% 4.32/4.54 inference(transitivity,[status(thm)],[668, 2569, 409, 1582, 2566])).
% 4.32/4.54 tff(2571,plain,
% 4.32/4.54 (mult(a, mult(c, mult(a, b))) = mult(a, mult(mult(a, b), c))),
% 4.32/4.54 inference(monotonicity,[status(thm)],[2570])).
% 4.32/4.54 tff(2572,plain,
% 4.32/4.54 (mult(a, mult(mult(a, b), c)) = mult(a, mult(c, mult(a, b)))),
% 4.32/4.54 inference(symmetry,[status(thm)],[2571])).
% 4.32/4.54 tff(2573,plain,
% 4.32/4.54 (mult(mult(a, b), mult(a, c)) = mult(a, mult(b, mult(a, c)))),
% 4.32/4.54 inference(transitivity,[status(thm)],[403, 2382, 2391, 2381, 2572, 2542, 708, 2244, 93, 135, 1632])).
% 4.32/4.54 tff(2574,plain,
% 4.32/4.54 (mult(a, mult(c, mult(a, b))) = mult(a, mult(b, mult(a, c)))),
% 4.32/4.54 inference(transitivity,[status(thm)],[2542, 708, 2244, 93, 135, 1632])).
% 4.32/4.54 tff(2575,plain,
% 4.32/4.54 (mult(a, mult(a, mult(b, c))) = mult(mult(a, mult(b, c)), a)),
% 4.32/4.54 inference(symmetry,[status(thm)],[2391])).
% 4.32/4.54 tff(2576,plain,
% 4.32/4.54 (mult(a, mult(mult(a, b), c)) = mult(a, mult(a, mult(b, c)))),
% 4.32/4.54 inference(symmetry,[status(thm)],[2381])).
% 4.32/4.54 tff(2577,plain,
% 4.32/4.54 (mult(mult(a, mult(a, b)), c) = mult(a, mult(mult(a, b), c))),
% 4.32/4.54 inference(unit_resolution,[status(thm)],[266, 2560])).
% 4.32/4.54 tff(2578,plain,
% 4.32/4.54 (mult(mult(a, mult(a, b)), c) = mult(mult(a, b), mult(a, c))),
% 4.32/4.54 inference(transitivity,[status(thm)],[2577, 2576, 2575, 2383, 168])).
% 4.32/4.54 tff(2579,plain,
% 4.32/4.54 ((mult(mult(a, mult(a, b)), c) = mult(a, mult(c, mult(a, b)))) <=> (mult(mult(a, b), mult(a, c)) = mult(a, mult(b, mult(a, c))))),
% 4.32/4.54 inference(monotonicity,[status(thm)],[2578, 2574])).
% 4.32/4.54 tff(2580,plain,
% 4.32/4.54 ((~(mult(mult(a, mult(a, b)), c) = mult(a, mult(c, mult(a, b))))) <=> (~(mult(mult(a, b), mult(a, c)) = mult(a, mult(b, mult(a, c)))))),
% 4.32/4.54 inference(monotonicity,[status(thm)],[2579])).
% 4.32/4.54 tff(2581,plain,
% 4.32/4.54 (~(mult(mult(a, b), mult(a, c)) = mult(a, mult(b, mult(a, c))))),
% 4.32/4.54 inference(modus_ponens,[status(thm)],[2558, 2580])).
% 4.32/4.54 tff(2582,plain,
% 4.32/4.54 ($false),
% 4.32/4.54 inference(unit_resolution,[status(thm)],[2581, 2573])).
% 4.32/4.54 tff(2583,plain,((mult(mult(a, c), mult(b, a)) = mult(a, mult(c, mult(b, a)))) | (~(mult(mult(mult(a, b), c), a) = mult(mult(a, b), mult(a, c)))) | (~(mult(mult(mult(a, c), b), a) = mult(mult(a, c), mult(b, a)))) | (~(mult(mult(a, mult(c, b)), a) = mult(a, mult(mult(c, b), a)))) | (~(mult(mult(b, a), c) = mult(b, mult(a, c)))) | (~(mult(mult(a, c), b) = mult(a, mult(c, b)))) | (~(mult(mult(a, b), c) = mult(a, mult(b, c)))) | (~(mult(mult(mult(a, b), c), a) = mult(mult(a, b), mult(c, a)))) | (~(mult(mult(c, a), b) = mult(c, mult(b, a)))) | (~(mult(mult(b, c), a) = mult(b, mult(c, a)))) | (mult(b, mult(c, a)) = mult(b, mult(a, c)))), inference(lemma,lemma(discharge,[]))).
% 4.32/4.55 tff(2584,plain,
% 4.32/4.55 (mult(mult(a, c), mult(b, a)) = mult(a, mult(c, mult(b, a)))),
% 4.32/4.55 inference(unit_resolution,[status(thm)],[2583, 2357, 2229, 2540, 118, 2111, 1790, 2531, 342, 102, 2095])).
% 4.32/4.55 tff(2585,plain,
% 4.32/4.55 (~(mult(mult(a, b), mult(c, a)) = mult(a, mult(mult(c, a), b)))),
% 4.32/4.55 inference(unit_resolution,[status(thm)],[2302, 2584, 2229, 1787, 2531, 342])).
% 4.32/4.55 tff(2586,plain,
% 4.32/4.55 ((~(mult(mult(a, b), mult(c, a)) = mult(a, mult(mult(c, a), b)))) | (~(mult(mult(a, mult(c, a)), b) = mult(a, mult(b, mult(c, a)))))),
% 4.32/4.55 inference(unit_resolution,[status(thm)],[203, 2585])).
% 4.32/4.55 tff(2587,plain,
% 4.32/4.55 (~((~(mult(mult(a, b), mult(c, a)) = mult(a, mult(b, mult(c, a))))) | (~(mult(mult(a, mult(c, a)), b) = mult(a, mult(mult(c, a), b)))))),
% 4.32/4.55 inference(unit_resolution,[status(thm)],[201, 2586])).
% 4.32/4.55 tff(2588,plain,
% 4.32/4.55 (mult(mult(a, b), mult(c, a)) = mult(a, mult(b, mult(c, a)))),
% 4.32/4.55 inference(unit_resolution,[status(thm)],[196, 2587])).
% 4.32/4.55 tff(2589,plain,
% 4.32/4.55 (mult(a, mult(b, mult(c, a))) = mult(mult(a, b), mult(c, a))),
% 4.32/4.55 inference(symmetry,[status(thm)],[2588])).
% 4.32/4.55 tff(2590,plain,
% 4.32/4.55 (mult(mult(a, a), mult(b, c)) = mult(a, mult(a, mult(b, c)))),
% 4.32/4.55 inference(transitivity,[status(thm)],[2117, 103, 2589, 2532, 2094, 2093])).
% 4.32/4.55 tff(2591,plain,
% 4.32/4.55 ($false),
% 4.32/4.55 inference(unit_resolution,[status(thm)],[2142, 2590])).
% 4.32/4.55 tff(2592,plain,((mult(mult(a, b), c) = mult(a, mult(c, b))) | (~(mult(mult(b, c), a) = mult(b, mult(c, a)))) | (~(mult(mult(c, a), b) = mult(c, mult(b, a)))) | (~(mult(mult(b, a), c) = mult(b, mult(a, c)))) | (mult(b, mult(c, a)) = mult(b, mult(a, c)))), inference(lemma,lemma(discharge,[]))).
% 4.32/4.55 tff(2593,plain,
% 4.32/4.55 (mult(mult(a, b), c) = mult(a, mult(c, b))),
% 4.32/4.55 inference(unit_resolution,[status(thm)],[2592, 37, 2082, 99, 731])).
% 4.32/4.55 tff(2594,plain,
% 4.32/4.55 ((mult(mult(a, c), mult(b, a)) = mult(mult(mult(a, c), b), a)) <=> (mult(mult(mult(a, c), b), a) = mult(mult(a, c), mult(b, a)))),
% 4.32/4.55 inference(commutativity,[status(thm)],[])).
% 4.32/4.55 tff(2595,plain,
% 4.32/4.55 (~(mult(mult(mult(a, b), c), a) = mult(mult(a, b), mult(c, a)))),
% 4.32/4.55 inference(unit_resolution,[status(thm)],[1609, 614, 106, 707])).
% 4.32/4.55 tff(2596,plain,
% 4.32/4.55 ((~(mult(mult(mult(a, b), a), c) = mult(mult(a, b), mult(a, c)))) | (~(mult(mult(mult(a, b), c), a) = mult(mult(a, b), mult(c, a))))),
% 4.32/4.55 inference(unit_resolution,[status(thm)],[185, 2595])).
% 4.32/4.55 tff(2597,plain,
% 4.32/4.55 (~((~(mult(mult(mult(a, b), a), c) = mult(mult(a, b), mult(c, a)))) | (~(mult(mult(mult(a, b), c), a) = mult(mult(a, b), mult(a, c)))))),
% 4.32/4.55 inference(unit_resolution,[status(thm)],[183, 2596])).
% 4.32/4.55 tff(2598,plain,
% 4.32/4.55 (mult(mult(mult(a, b), c), a) = mult(mult(a, b), mult(a, c))),
% 4.32/4.55 inference(unit_resolution,[status(thm)],[178, 2597])).
% 4.32/4.55 tff(2599,plain,
% 4.32/4.55 (~(mult(mult(a, mult(b, c)), a) = mult(a, mult(a, mult(b, c))))),
% 4.32/4.55 inference(unit_resolution,[status(thm)],[1129, 2598, 2110, 707, 106, 117, 971, 115])).
% 4.32/4.55 tff(2600,plain,
% 4.32/4.55 ((~(mult(mult(a, a), mult(b, c)) = mult(a, mult(mult(b, c), a)))) | (~(mult(mult(a, mult(b, c)), a) = mult(a, mult(a, mult(b, c)))))),
% 4.32/4.55 inference(unit_resolution,[status(thm)],[95, 2599])).
% 4.32/4.55 tff(2601,plain,
% 4.32/4.55 (~((~(mult(mult(a, a), mult(b, c)) = mult(a, mult(a, mult(b, c))))) | (~(mult(mult(a, mult(b, c)), a) = mult(a, mult(mult(b, c), a)))))),
% 4.32/4.55 inference(unit_resolution,[status(thm)],[504, 2600])).
% 4.32/4.55 tff(2602,plain,
% 4.32/4.55 (mult(mult(a, mult(b, c)), a) = mult(a, mult(mult(b, c), a))),
% 4.32/4.55 inference(unit_resolution,[status(thm)],[506, 2601])).
% 4.32/4.55 tff(2603,plain,
% 4.32/4.55 (mult(a, mult(mult(b, c), a)) = mult(mult(a, mult(b, c)), a)),
% 4.32/4.55 inference(symmetry,[status(thm)],[2602])).
% 4.32/4.55 tff(2604,plain,
% 4.32/4.55 (mult(a, mult(b, mult(c, a))) = mult(mult(mult(a, c), b), a)),
% 4.32/4.55 inference(transitivity,[status(thm)],[2416, 2603, 215])).
% 4.32/4.55 tff(2605,plain,
% 4.32/4.55 ((mult(a, mult(c, mult(a, b))) = mult(mult(a, c), mult(a, b))) <=> (mult(mult(a, c), mult(a, b)) = mult(a, mult(c, mult(a, b))))),
% 4.32/4.55 inference(commutativity,[status(thm)],[])).
% 4.32/4.55 tff(2606,plain,
% 4.32/4.55 (mult(mult(mult(a, b), c), a) = mult(a, mult(c, mult(a, b)))),
% 4.32/4.55 inference(transitivity,[status(thm)],[107, 707, 2541])).
% 4.32/4.55 tff(2607,plain,
% 4.32/4.55 (mult(a, mult(b, mult(c, a))) = mult(mult(a, c), mult(a, b))),
% 4.32/4.55 inference(transitivity,[status(thm)],[2416, 2603, 215, 971])).
% 4.32/4.55 tff(2608,plain,
% 4.32/4.55 ((mult(a, mult(b, mult(c, a))) = mult(mult(mult(a, b), c), a)) <=> (mult(mult(a, c), mult(a, b)) = mult(a, mult(c, mult(a, b))))),
% 4.32/4.55 inference(monotonicity,[status(thm)],[2607, 2606])).
% 4.32/4.55 tff(2609,plain,
% 4.32/4.55 ((~(mult(a, mult(b, mult(c, a))) = mult(mult(mult(a, b), c), a))) <=> (~(mult(mult(a, c), mult(a, b)) = mult(a, mult(c, mult(a, b)))))),
% 4.32/4.55 inference(monotonicity,[status(thm)],[2608])).
% 4.32/4.55 tff(2610,plain,
% 4.32/4.55 (~(mult(mult(a, c), mult(a, b)) = mult(a, mult(c, mult(a, b))))),
% 4.32/4.55 inference(modus_ponens,[status(thm)],[194, 2609])).
% 4.32/4.55 tff(2611,plain,
% 4.32/4.55 ((~(mult(mult(a, mult(a, b)), c) = mult(a, mult(mult(a, b), c)))) | (~(mult(mult(a, c), mult(a, b)) = mult(a, mult(c, mult(a, b)))))),
% 4.32/4.55 inference(unit_resolution,[status(thm)],[604, 2610])).
% 4.32/4.55 tff(2612,plain,
% 4.32/4.55 (~((~(mult(mult(a, mult(a, b)), c) = mult(a, mult(c, mult(a, b))))) | (~(mult(mult(a, c), mult(a, b)) = mult(a, mult(mult(a, b), c)))))),
% 4.32/4.55 inference(unit_resolution,[status(thm)],[292, 2611])).
% 4.32/4.55 tff(2613,plain,
% 4.32/4.55 (mult(mult(a, c), mult(a, b)) = mult(a, mult(mult(a, b), c))),
% 4.32/4.55 inference(unit_resolution,[status(thm)],[601, 2612])).
% 4.32/4.55 tff(2614,plain,
% 4.32/4.55 (mult(a, mult(mult(a, b), c)) = mult(mult(a, c), mult(a, b))),
% 4.32/4.55 inference(symmetry,[status(thm)],[2613])).
% 4.32/4.55 tff(2615,plain,
% 4.32/4.55 (mult(mult(a, a), mult(c, b)) = mult(mult(a, c), mult(a, b))),
% 4.32/4.55 inference(transitivity,[status(thm)],[1581, 111, 2614])).
% 4.32/4.55 tff(2616,plain,
% 4.32/4.55 (mult(mult(a, mult(a, b)), c) = mult(a, mult(c, mult(a, b)))),
% 4.32/4.55 inference(unit_resolution,[status(thm)],[287, 2612])).
% 4.32/4.55 tff(2617,plain,
% 4.32/4.55 (mult(mult(mult(a, a), b), c) = mult(a, mult(c, mult(a, b)))),
% 4.32/4.55 inference(transitivity,[status(thm)],[2169, 2616])).
% 4.32/4.55 tff(2618,plain,
% 4.32/4.55 ((mult(mult(mult(a, a), b), c) = mult(mult(a, a), mult(c, b))) <=> (mult(a, mult(c, mult(a, b))) = mult(mult(a, c), mult(a, b)))),
% 4.32/4.55 inference(monotonicity,[status(thm)],[2617, 2615])).
% 4.32/4.55 tff(2619,plain,
% 4.32/4.55 ((mult(mult(mult(a, a), b), c) = mult(mult(a, a), mult(c, b))) <=> (mult(mult(a, c), mult(a, b)) = mult(a, mult(c, mult(a, b))))),
% 4.32/4.55 inference(transitivity,[status(thm)],[2618, 2605])).
% 4.32/4.55 tff(2620,plain,
% 4.32/4.55 ((mult(mult(a, c), mult(a, b)) = mult(a, mult(c, mult(a, b)))) <=> (mult(mult(mult(a, a), b), c) = mult(mult(a, a), mult(c, b)))),
% 4.32/4.55 inference(symmetry,[status(thm)],[2619])).
% 4.32/4.55 tff(2621,plain,
% 4.32/4.55 ((~(mult(mult(a, c), mult(a, b)) = mult(a, mult(c, mult(a, b))))) <=> (~(mult(mult(mult(a, a), b), c) = mult(mult(a, a), mult(c, b))))),
% 4.32/4.55 inference(monotonicity,[status(thm)],[2620])).
% 4.32/4.55 tff(2622,plain,
% 4.32/4.55 (~(mult(mult(mult(a, a), b), c) = mult(mult(a, a), mult(c, b)))),
% 4.32/4.55 inference(modus_ponens,[status(thm)],[2610, 2621])).
% 4.32/4.55 tff(2623,plain,
% 4.32/4.55 ((~(mult(mult(mult(a, a), b), c) = mult(mult(a, a), mult(c, b)))) | (~(mult(mult(mult(a, a), c), b) = mult(mult(a, a), mult(b, c))))),
% 4.32/4.55 inference(unit_resolution,[status(thm)],[326, 2622])).
% 4.32/4.55 tff(2624,plain,
% 4.32/4.55 (~((~(mult(mult(mult(a, a), b), c) = mult(mult(a, a), mult(b, c)))) | (~(mult(mult(mult(a, a), c), b) = mult(mult(a, a), mult(c, b)))))),
% 4.32/4.55 inference(unit_resolution,[status(thm)],[338, 2623])).
% 4.32/4.55 tff(2625,plain,
% 4.32/4.55 (mult(mult(mult(a, a), c), b) = mult(mult(a, a), mult(c, b))),
% 4.32/4.55 inference(unit_resolution,[status(thm)],[1006, 2624])).
% 4.32/4.55 tff(2626,plain,
% 4.32/4.55 (mult(mult(mult(a, a), b), c) = mult(mult(a, a), mult(b, c))),
% 4.32/4.55 inference(unit_resolution,[status(thm)],[317, 2624])).
% 4.32/4.55 tff(2627,plain,
% 4.32/4.55 (((~(mult(mult(a, a), mult(b, c)) = mult(a, mult(a, mult(b, c))))) | (~(mult(mult(a, mult(b, c)), a) = mult(a, mult(mult(b, c), a))))) | (mult(mult(a, a), mult(b, c)) = mult(a, mult(a, mult(b, c))))),
% 4.32/4.55 inference(tautology,[status(thm)],[])).
% 4.32/4.55 tff(2628,plain,
% 4.32/4.55 (mult(mult(a, a), mult(b, c)) = mult(a, mult(a, mult(b, c)))),
% 4.32/4.55 inference(unit_resolution,[status(thm)],[2627, 2601])).
% 4.32/4.55 tff(2629,assumption,(mult(mult(mult(a, a), b), c) = mult(mult(a, a), mult(b, c))), introduced(assumption)).
% 4.32/4.55 tff(2630,plain,
% 4.32/4.55 (mult(mult(a, mult(a, b)), c) = mult(mult(mult(a, a), b), c)),
% 4.39/4.55 inference(symmetry,[status(thm)],[1896])).
% 4.39/4.55 tff(2631,assumption,(~(mult(mult(a, mult(a, c)), b) = mult(a, mult(b, mult(a, c))))), introduced(assumption)).
% 4.39/4.55 tff(2632,plain,
% 4.39/4.55 ((~(mult(mult(a, mult(a, c)), b) = mult(a, mult(b, mult(a, c))))) | (~(mult(mult(a, b), mult(a, c)) = mult(a, mult(mult(a, c), b))))),
% 4.39/4.55 inference(unit_resolution,[status(thm)],[836, 2631])).
% 4.39/4.55 tff(2633,plain,
% 4.39/4.55 (~((~(mult(mult(a, mult(a, c)), b) = mult(a, mult(mult(a, c), b)))) | (~(mult(mult(a, b), mult(a, c)) = mult(a, mult(b, mult(a, c))))))),
% 4.39/4.55 inference(unit_resolution,[status(thm)],[143, 2632])).
% 4.39/4.55 tff(2634,plain,
% 4.39/4.55 (mult(mult(a, b), mult(a, c)) = mult(a, mult(b, mult(a, c)))),
% 4.39/4.55 inference(unit_resolution,[status(thm)],[145, 2633])).
% 4.39/4.55 tff(2635,plain,
% 4.39/4.55 (mult(a, mult(b, mult(a, c))) = mult(mult(a, b), mult(a, c))),
% 4.39/4.55 inference(symmetry,[status(thm)],[2634])).
% 4.39/4.55 tff(2636,plain,
% 4.39/4.55 (mult(a, mult(b, mult(a, c))) = mult(a, mult(mult(a, c), b))),
% 4.39/4.55 inference(transitivity,[status(thm)],[2635, 403, 107, 707, 2197, 270, 2630, 2629, 1154, 151])).
% 4.39/4.55 tff(2637,plain,
% 4.39/4.55 ((mult(mult(a, mult(a, c)), b) = mult(a, mult(b, mult(a, c)))) <=> (mult(mult(a, mult(a, c)), b) = mult(a, mult(mult(a, c), b)))),
% 4.39/4.55 inference(monotonicity,[status(thm)],[2636])).
% 4.39/4.55 tff(2638,plain,
% 4.39/4.55 ((mult(mult(a, mult(a, c)), b) = mult(a, mult(mult(a, c), b))) <=> (mult(mult(a, mult(a, c)), b) = mult(a, mult(b, mult(a, c))))),
% 4.39/4.55 inference(symmetry,[status(thm)],[2637])).
% 4.39/4.55 tff(2639,plain,
% 4.39/4.55 (mult(mult(a, mult(a, c)), b) = mult(a, mult(mult(a, c), b))),
% 4.39/4.55 inference(unit_resolution,[status(thm)],[899, 2633])).
% 4.39/4.55 tff(2640,plain,
% 4.39/4.55 (mult(mult(a, mult(a, c)), b) = mult(a, mult(b, mult(a, c)))),
% 4.39/4.55 inference(modus_ponens,[status(thm)],[2639, 2638])).
% 4.39/4.55 tff(2641,plain,
% 4.39/4.55 ($false),
% 4.39/4.55 inference(unit_resolution,[status(thm)],[2631, 2640])).
% 4.39/4.55 tff(2642,plain,((mult(mult(a, mult(a, c)), b) = mult(a, mult(b, mult(a, c)))) | (~(mult(mult(mult(a, b), c), a) = mult(mult(a, b), mult(a, c)))) | (~(mult(mult(a, mult(c, b)), a) = mult(a, mult(mult(c, b), a)))) | (~(mult(mult(a, a), mult(b, c)) = mult(a, mult(a, mult(b, c))))) | (~(mult(mult(mult(a, a), b), c) = mult(mult(a, a), mult(b, c)))) | (~(mult(mult(a, mult(a, b)), c) = mult(a, mult(c, mult(a, b))))) | (~(mult(mult(a, a), b) = mult(a, mult(a, b)))) | (~(mult(mult(a, c), b) = mult(a, mult(b, c)))) | (~(mult(mult(c, b), a) = mult(c, mult(a, b)))) | (~(mult(mult(a, b), c) = mult(a, mult(c, b))))), inference(lemma,lemma(discharge,[]))).
% 4.39/4.55 tff(2643,plain,
% 4.39/4.55 (mult(mult(a, mult(a, c)), b) = mult(a, mult(b, mult(a, c)))),
% 4.39/4.55 inference(unit_resolution,[status(thm)],[2642, 2598, 707, 2628, 2626, 2616, 2168, 117, 2110, 106])).
% 4.39/4.55 tff(2644,plain,
% 4.39/4.55 (mult(mult(a, mult(a, c)), a) = mult(a, mult(mult(a, c), a))),
% 4.39/4.55 inference(unit_resolution,[status(thm)],[1654, 1220, 118, 1526, 160])).
% 4.39/4.55 tff(2645,assumption,(mult(mult(a, mult(a, c)), a) = mult(a, mult(mult(a, c), a))), introduced(assumption)).
% 4.39/4.55 tff(2646,plain,
% 4.39/4.55 (mult(a, mult(mult(a, c), a)) = mult(mult(a, mult(a, c)), a)),
% 4.39/4.55 inference(symmetry,[status(thm)],[2645])).
% 4.39/4.55 tff(2647,plain,
% 4.39/4.55 (mult(mult(mult(a, a), c), a) = mult(mult(a, mult(a, c)), a)),
% 4.39/4.55 inference(transitivity,[status(thm)],[1658, 2646])).
% 4.39/4.55 tff(2648,plain,
% 4.39/4.55 (rd(mult(mult(mult(a, a), c), a), a) = rd(mult(mult(a, mult(a, c)), a), a)),
% 4.39/4.55 inference(monotonicity,[status(thm)],[2647])).
% 4.39/4.55 tff(2649,plain,
% 4.39/4.55 ((~![B: $i, A: $i] : (rd(mult(A, B), B) = A)) | (rd(mult(mult(mult(a, a), c), b), b) = mult(mult(a, a), c))),
% 4.39/4.55 inference(quant_inst,[status(thm)],[])).
% 4.39/4.55 tff(2650,plain,
% 4.39/4.55 (rd(mult(mult(mult(a, a), c), b), b) = mult(mult(a, a), c)),
% 4.39/4.55 inference(unit_resolution,[status(thm)],[2649, 72])).
% 4.39/4.55 tff(2651,plain,
% 4.39/4.55 (mult(mult(a, mult(c, a)), b) = mult(mult(mult(a, a), c), b)),
% 4.39/4.55 inference(transitivity,[status(thm)],[1736, 1196, 1424, 1423, 971, 593, 112, 912, 910])).
% 4.39/4.55 tff(2652,plain,
% 4.39/4.55 (rd(mult(mult(a, mult(c, a)), b), b) = rd(mult(mult(mult(a, a), c), b), b)),
% 4.39/4.55 inference(monotonicity,[status(thm)],[2651])).
% 4.39/4.55 tff(2653,plain,
% 4.39/4.55 (mult(a, mult(c, a)) = mult(a, mult(a, c))),
% 4.39/4.55 inference(transitivity,[status(thm)],[920, 2652, 2650, 1663, 2648, 1630])).
% 4.39/4.55 tff(2654,plain,
% 4.39/4.55 (mult(mult(a, mult(c, a)), b) = mult(mult(a, mult(a, c)), b)),
% 4.39/4.55 inference(monotonicity,[status(thm)],[2653])).
% 4.39/4.55 tff(2655,plain,
% 4.39/4.55 (mult(mult(mult(a, c), b), a) = mult(mult(a, c), mult(b, a))),
% 4.39/4.55 inference(transitivity,[status(thm)],[152, 510, 103, 1737, 2654, 1220, 1627, 512])).
% 4.39/4.55 tff(2656,plain,
% 4.39/4.55 ($false),
% 4.39/4.55 inference(unit_resolution,[status(thm)],[614, 2655])).
% 4.39/4.55 tff(2657,plain,((~(mult(mult(a, mult(a, c)), a) = mult(a, mult(mult(a, c), a)))) | (mult(mult(mult(a, c), b), a) = mult(mult(a, c), mult(b, a))) | (~(mult(mult(a, mult(b, c)), a) = mult(a, mult(mult(b, c), a)))) | (~(mult(mult(a, mult(c, a)), b) = mult(a, mult(b, mult(c, a))))) | (~(mult(mult(a, mult(a, c)), b) = mult(a, mult(b, mult(a, c))))) | (~(mult(mult(a, c), mult(b, a)) = mult(a, mult(mult(b, a), c)))) | (~(mult(mult(b, a), c) = mult(b, mult(a, c)))) | (~(mult(mult(mult(a, a), c), b) = mult(mult(a, a), mult(c, b)))) | (~(mult(mult(a, a), mult(c, b)) = mult(a, mult(a, mult(c, b))))) | (~(mult(mult(a, c), mult(a, b)) = mult(a, mult(mult(a, b), c)))) | (~(mult(mult(a, b), c) = mult(a, mult(c, b)))) | (~(mult(mult(b, c), a) = mult(b, mult(c, a)))) | (~(mult(mult(a, c), b) = mult(a, mult(b, c))))), inference(lemma,lemma(discharge,[]))).
% 4.39/4.55 tff(2658,plain,
% 4.39/4.55 ($false),
% 4.39/4.55 inference(unit_resolution,[status(thm)],[2657, 2644, 1220, 118, 1736, 510, 160, 593, 614, 911, 789, 106, 102, 117])).
% 4.39/4.55 tff(2659,plain,((~(mult(mult(a, mult(a, c)), b) = mult(a, mult(b, mult(a, c))))) | (~(mult(mult(b, a), c) = mult(b, mult(a, c)))) | (~(mult(mult(a, mult(c, a)), b) = mult(a, mult(b, mult(c, a))))) | (~(mult(mult(a, mult(b, c)), a) = mult(a, mult(mult(b, c), a)))) | (~(mult(mult(a, c), mult(b, a)) = mult(a, mult(mult(b, a), c)))) | (~(mult(mult(a, c), mult(a, b)) = mult(a, mult(mult(a, b), c)))) | (mult(mult(mult(a, c), b), a) = mult(mult(a, c), mult(b, a))) | (~(mult(mult(a, a), mult(c, b)) = mult(a, mult(a, mult(c, b))))) | (~(mult(mult(mult(a, a), c), b) = mult(mult(a, a), mult(c, b)))) | (~(mult(mult(a, b), c) = mult(a, mult(c, b)))) | (~(mult(mult(b, c), a) = mult(b, mult(c, a)))) | (~(mult(mult(a, c), b) = mult(a, mult(b, c))))), inference(lemma,lemma(discharge,[]))).
% 4.39/4.55 tff(2660,plain,
% 4.39/4.55 (~(mult(mult(a, c), mult(b, a)) = mult(a, mult(mult(b, a), c)))),
% 4.39/4.55 inference(unit_resolution,[status(thm)],[2659, 2643, 1736, 2602, 118, 2613, 614, 1581, 2625, 106, 102, 117])).
% 4.39/4.55 tff(2661,plain,
% 4.39/4.55 ((~(mult(mult(a, c), mult(b, a)) = mult(a, mult(mult(b, a), c)))) | (~(mult(mult(a, mult(b, a)), c) = mult(a, mult(c, mult(b, a)))))),
% 4.39/4.55 inference(unit_resolution,[status(thm)],[134, 2660])).
% 4.39/4.55 tff(2662,plain,
% 4.39/4.55 (~((~(mult(mult(a, c), mult(b, a)) = mult(a, mult(c, mult(b, a))))) | (~(mult(mult(a, mult(b, a)), c) = mult(a, mult(mult(b, a), c)))))),
% 4.39/4.55 inference(unit_resolution,[status(thm)],[132, 2661])).
% 4.39/4.55 tff(2663,plain,
% 4.39/4.55 (mult(mult(a, c), mult(b, a)) = mult(a, mult(c, mult(b, a)))),
% 4.39/4.55 inference(unit_resolution,[status(thm)],[120, 2662])).
% 4.39/4.55 tff(2664,plain,
% 4.39/4.55 (mult(a, mult(c, mult(b, a))) = mult(mult(a, c), mult(b, a))),
% 4.39/4.55 inference(symmetry,[status(thm)],[2663])).
% 4.39/4.55 tff(2665,plain,
% 4.39/4.55 ((mult(a, mult(mult(c, a), b)) = mult(mult(a, b), mult(c, a))) <=> (mult(mult(a, b), mult(c, a)) = mult(a, mult(mult(c, a), b)))),
% 4.39/4.55 inference(commutativity,[status(thm)],[])).
% 4.39/4.55 tff(2666,plain,
% 4.39/4.55 (mult(mult(mult(a, b), a), c) = mult(mult(a, b), mult(c, a))),
% 4.39/4.55 inference(unit_resolution,[status(thm)],[1690, 2597])).
% 4.39/4.55 tff(2667,plain,
% 4.39/4.55 (mult(mult(a, mult(b, a)), c) = mult(a, mult(mult(b, a), c))),
% 4.39/4.55 inference(unit_resolution,[status(thm)],[1395, 2662])).
% 4.39/4.55 tff(2668,plain,
% 4.39/4.55 (mult(a, mult(mult(b, a), c)) = mult(mult(a, mult(b, a)), c)),
% 4.39/4.55 inference(symmetry,[status(thm)],[2667])).
% 4.39/4.55 tff(2669,plain,
% 4.39/4.55 (mult(a, mult(mult(b, a), c)) = mult(mult(a, b), mult(c, a))),
% 4.39/4.55 inference(transitivity,[status(thm)],[2668, 1739, 2666])).
% 4.39/4.55 tff(2670,plain,
% 4.39/4.55 (mult(mult(a, c), mult(b, a)) = mult(a, mult(mult(c, a), b))),
% 4.39/4.55 inference(transitivity,[status(thm)],[2663, 2096])).
% 4.39/4.55 tff(2671,plain,
% 4.39/4.55 ((mult(mult(a, c), mult(b, a)) = mult(a, mult(mult(b, a), c))) <=> (mult(a, mult(mult(c, a), b)) = mult(mult(a, b), mult(c, a)))),
% 4.39/4.56 inference(monotonicity,[status(thm)],[2670, 2669])).
% 4.39/4.56 tff(2672,plain,
% 4.39/4.56 ((mult(mult(a, c), mult(b, a)) = mult(a, mult(mult(b, a), c))) <=> (mult(mult(a, b), mult(c, a)) = mult(a, mult(mult(c, a), b)))),
% 4.39/4.56 inference(transitivity,[status(thm)],[2671, 2665])).
% 4.39/4.56 tff(2673,plain,
% 4.39/4.56 ((~(mult(mult(a, c), mult(b, a)) = mult(a, mult(mult(b, a), c)))) <=> (~(mult(mult(a, b), mult(c, a)) = mult(a, mult(mult(c, a), b))))),
% 4.39/4.56 inference(monotonicity,[status(thm)],[2672])).
% 4.39/4.56 tff(2674,plain,
% 4.39/4.56 (~(mult(mult(a, b), mult(c, a)) = mult(a, mult(mult(c, a), b)))),
% 4.39/4.56 inference(modus_ponens,[status(thm)],[2660, 2673])).
% 4.39/4.56 tff(2675,plain,
% 4.39/4.56 ((~(mult(mult(a, b), mult(c, a)) = mult(a, mult(mult(c, a), b)))) | (~(mult(mult(a, mult(c, a)), b) = mult(a, mult(b, mult(c, a)))))),
% 4.39/4.56 inference(unit_resolution,[status(thm)],[203, 2674])).
% 4.39/4.56 tff(2676,plain,
% 4.39/4.56 (~((~(mult(mult(a, b), mult(c, a)) = mult(a, mult(b, mult(c, a))))) | (~(mult(mult(a, mult(c, a)), b) = mult(a, mult(mult(c, a), b)))))),
% 4.39/4.56 inference(unit_resolution,[status(thm)],[201, 2675])).
% 4.39/4.56 tff(2677,plain,
% 4.39/4.56 (mult(mult(a, mult(c, a)), b) = mult(a, mult(mult(c, a), b))),
% 4.39/4.56 inference(unit_resolution,[status(thm)],[739, 2676])).
% 4.39/4.56 tff(2678,plain,
% 4.39/4.56 (mult(mult(a, mult(c, a)), b) = mult(mult(a, c), mult(b, a))),
% 4.39/4.56 inference(transitivity,[status(thm)],[2677, 352, 2664])).
% 4.39/4.56 tff(2679,plain,
% 4.39/4.56 ((mult(mult(a, mult(c, a)), b) = mult(a, mult(b, mult(c, a)))) <=> (mult(mult(a, c), mult(b, a)) = mult(mult(mult(a, c), b), a))),
% 4.39/4.56 inference(monotonicity,[status(thm)],[2678, 2604])).
% 4.39/4.56 tff(2680,plain,
% 4.39/4.56 ((mult(mult(a, mult(c, a)), b) = mult(a, mult(b, mult(c, a)))) <=> (mult(mult(mult(a, c), b), a) = mult(mult(a, c), mult(b, a)))),
% 4.39/4.56 inference(transitivity,[status(thm)],[2679, 2594])).
% 4.39/4.56 tff(2681,plain,
% 4.39/4.56 ((mult(mult(mult(a, c), b), a) = mult(mult(a, c), mult(b, a))) <=> (mult(mult(a, mult(c, a)), b) = mult(a, mult(b, mult(c, a))))),
% 4.39/4.56 inference(symmetry,[status(thm)],[2680])).
% 4.39/4.56 tff(2682,plain,
% 4.39/4.56 ((~(mult(mult(mult(a, c), b), a) = mult(mult(a, c), mult(b, a)))) <=> (~(mult(mult(a, mult(c, a)), b) = mult(a, mult(b, mult(c, a)))))),
% 4.39/4.56 inference(monotonicity,[status(thm)],[2681])).
% 4.39/4.56 tff(2683,plain,
% 4.39/4.56 (~(mult(mult(a, mult(c, a)), b) = mult(a, mult(b, mult(c, a))))),
% 4.39/4.56 inference(modus_ponens,[status(thm)],[614, 2682])).
% 4.39/4.56 tff(2684,plain,
% 4.39/4.56 ($false),
% 4.39/4.56 inference(unit_resolution,[status(thm)],[1736, 2683])).
% 4.39/4.56 tff(2685,plain,((mult(mult(mult(a, c), b), a) = mult(mult(a, c), mult(b, a))) | (~(mult(mult(a, mult(c, a)), b) = mult(a, mult(b, mult(c, a))))) | (~(mult(mult(a, c), b) = mult(a, mult(b, c)))) | (~(mult(mult(b, c), a) = mult(b, mult(c, a)))) | (~(mult(mult(c, a), b) = mult(c, mult(b, a)))) | (~(mult(mult(b, a), c) = mult(b, mult(a, c)))) | (~(mult(mult(a, b), c) = mult(a, mult(c, b)))) | (~(mult(mult(a, mult(c, b)), a) = mult(a, mult(mult(c, b), a)))) | (mult(mult(a, b), c) = mult(a, mult(b, c)))), inference(lemma,lemma(discharge,[]))).
% 4.39/4.56 tff(2686,plain,
% 4.39/4.56 (mult(mult(mult(a, c), b), a) = mult(mult(a, c), mult(b, a))),
% 4.39/4.56 inference(unit_resolution,[status(thm)],[2685, 97, 1525, 37, 2082, 99, 2593, 706, 65])).
% 4.39/4.56 tff(2687,plain,
% 4.39/4.56 (~(mult(mult(a, mult(b, c)), a) = mult(a, mult(mult(b, c), a)))),
% 4.39/4.56 inference(unit_resolution,[status(thm)],[519, 160, 14, 2686, 97])).
% 4.39/4.56 tff(2688,plain,
% 4.39/4.56 ((~(mult(mult(a, mult(b, c)), a) = mult(a, mult(mult(b, c), a)))) | (~(mult(mult(a, a), mult(b, c)) = mult(a, mult(a, mult(b, c)))))),
% 4.39/4.56 inference(unit_resolution,[status(thm)],[660, 2687])).
% 4.39/4.56 tff(2689,plain,
% 4.39/4.56 (~((~(mult(mult(a, mult(b, c)), a) = mult(a, mult(a, mult(b, c))))) | (~(mult(mult(a, a), mult(b, c)) = mult(a, mult(mult(b, c), a)))))),
% 4.39/4.56 inference(unit_resolution,[status(thm)],[658, 2688])).
% 4.39/4.56 tff(2690,plain,
% 4.39/4.56 (mult(mult(a, mult(b, c)), a) = mult(a, mult(a, mult(b, c)))),
% 4.39/4.56 inference(unit_resolution,[status(thm)],[786, 2689])).
% 4.39/4.56 tff(2691,plain,
% 4.39/4.56 (mult(mult(a, b), mult(a, c)) = mult(a, mult(mult(a, c), b))),
% 4.39/4.56 inference(unit_resolution,[status(thm)],[365, 2690, 99, 2082, 97, 2686, 14])).
% 4.39/4.56 tff(2692,plain,
% 4.39/4.56 (~(mult(mult(mult(a, b), c), a) = mult(mult(a, b), mult(a, c)))),
% 4.39/4.56 inference(unit_resolution,[status(thm)],[176, 2691, 97, 65, 2690])).
% 4.39/4.56 tff(2693,plain,
% 4.39/4.56 ((~(mult(mult(mult(a, b), a), c) = mult(mult(a, b), mult(c, a)))) | (~(mult(mult(mult(a, b), c), a) = mult(mult(a, b), mult(a, c))))),
% 4.39/4.56 inference(unit_resolution,[status(thm)],[178, 2692])).
% 4.39/4.56 tff(2694,plain,
% 4.39/4.56 (~((~(mult(mult(mult(a, b), a), c) = mult(mult(a, b), mult(a, c)))) | (~(mult(mult(mult(a, b), c), a) = mult(mult(a, b), mult(c, a)))))),
% 4.39/4.56 inference(unit_resolution,[status(thm)],[183, 2693])).
% 4.39/4.56 tff(2695,plain,
% 4.39/4.56 (mult(mult(mult(a, b), c), a) = mult(mult(a, b), mult(c, a))),
% 4.39/4.56 inference(unit_resolution,[status(thm)],[185, 2694])).
% 4.39/4.56 tff(2696,plain,
% 4.39/4.56 (mult(mult(a, b), mult(c, a)) = mult(mult(mult(a, b), c), a)),
% 4.39/4.56 inference(symmetry,[status(thm)],[2695])).
% 4.39/4.56 tff(2697,plain,
% 4.39/4.56 ((mult(mult(a, b), mult(c, a)) = mult(a, mult(b, mult(c, a)))) <=> (mult(mult(mult(a, b), c), a) = mult(a, mult(b, mult(c, a))))),
% 4.39/4.56 inference(monotonicity,[status(thm)],[2696])).
% 4.39/4.56 tff(2698,plain,
% 4.39/4.56 ((mult(mult(a, b), mult(c, a)) = mult(a, mult(b, mult(c, a)))) <=> (mult(a, mult(b, mult(c, a))) = mult(mult(mult(a, b), c), a))),
% 4.39/4.56 inference(transitivity,[status(thm)],[2697, 15])).
% 4.39/4.56 tff(2699,plain,
% 4.39/4.56 ((mult(a, mult(b, mult(c, a))) = mult(mult(mult(a, b), c), a)) <=> (mult(mult(a, b), mult(c, a)) = mult(a, mult(b, mult(c, a))))),
% 4.39/4.56 inference(symmetry,[status(thm)],[2698])).
% 4.39/4.56 tff(2700,plain,
% 4.39/4.56 ((~(mult(a, mult(b, mult(c, a))) = mult(mult(mult(a, b), c), a))) <=> (~(mult(mult(a, b), mult(c, a)) = mult(a, mult(b, mult(c, a)))))),
% 4.39/4.56 inference(monotonicity,[status(thm)],[2699])).
% 4.39/4.56 tff(2701,plain,
% 4.39/4.56 (~(mult(mult(a, b), mult(c, a)) = mult(a, mult(b, mult(c, a))))),
% 4.39/4.56 inference(modus_ponens,[status(thm)],[194, 2700])).
% 4.39/4.56 tff(2702,plain,
% 4.39/4.56 ((~(mult(mult(a, b), mult(c, a)) = mult(a, mult(b, mult(c, a))))) | (~(mult(mult(a, mult(c, a)), b) = mult(a, mult(mult(c, a), b))))),
% 4.39/4.56 inference(unit_resolution,[status(thm)],[196, 2701])).
% 4.39/4.56 tff(2703,plain,
% 4.39/4.56 (~((~(mult(mult(a, b), mult(c, a)) = mult(a, mult(mult(c, a), b)))) | (~(mult(mult(a, mult(c, a)), b) = mult(a, mult(b, mult(c, a))))))),
% 4.39/4.56 inference(unit_resolution,[status(thm)],[201, 2702])).
% 4.39/4.56 tff(2704,plain,
% 4.39/4.56 (mult(mult(a, b), mult(c, a)) = mult(a, mult(mult(c, a), b))),
% 4.39/4.56 inference(unit_resolution,[status(thm)],[203, 2703])).
% 4.39/4.56 tff(2705,plain,
% 4.39/4.56 (mult(mult(mult(a, b), c), a) = mult(mult(a, mult(c, b)), a)),
% 4.39/4.56 inference(monotonicity,[status(thm)],[2593])).
% 4.39/4.56 tff(2706,plain,
% 4.39/4.56 (mult(mult(a, mult(c, b)), a) = mult(mult(mult(a, b), c), a)),
% 4.39/4.56 inference(symmetry,[status(thm)],[2705])).
% 4.39/4.56 tff(2707,plain,
% 4.39/4.56 (mult(a, mult(mult(c, b), a)) = mult(mult(a, mult(c, b)), a)),
% 4.39/4.56 inference(symmetry,[status(thm)],[706])).
% 4.39/4.56 tff(2708,plain,
% 4.39/4.56 (mult(mult(c, b), a) = mult(c, mult(a, b))),
% 4.39/4.56 inference(unit_resolution,[status(thm)],[2109, 2082])).
% 4.39/4.56 tff(2709,plain,
% 4.39/4.56 (mult(a, mult(mult(c, b), a)) = mult(a, mult(c, mult(a, b)))),
% 4.39/4.56 inference(monotonicity,[status(thm)],[2708])).
% 4.39/4.56 tff(2710,plain,
% 4.39/4.56 (mult(a, mult(c, mult(a, b))) = mult(a, mult(mult(c, b), a))),
% 4.39/4.56 inference(symmetry,[status(thm)],[2709])).
% 4.39/4.56 tff(2711,plain,
% 4.39/4.56 (mult(a, mult(c, mult(a, b))) = mult(a, mult(mult(c, a), b))),
% 4.39/4.56 inference(transitivity,[status(thm)],[2710, 2707, 2706, 2695, 2704])).
% 4.39/4.56 tff(2712,plain,
% 4.39/4.56 (ld(a, mult(a, mult(c, mult(a, b)))) = ld(a, mult(a, mult(mult(c, a), b)))),
% 4.39/4.56 inference(monotonicity,[status(thm)],[2711])).
% 4.39/4.56 tff(2713,plain,
% 4.39/4.56 (mult(c, mult(a, b)) = mult(c, mult(b, a))),
% 4.39/4.56 inference(transitivity,[status(thm)],[668, 2712, 209, 2082])).
% 4.39/4.56 tff(2714,plain,
% 4.39/4.56 (ld(c, mult(c, mult(a, b))) = ld(c, mult(c, mult(b, a)))),
% 4.39/4.56 inference(monotonicity,[status(thm)],[2713])).
% 4.39/4.56 tff(2715,plain,
% 4.39/4.56 (mult(a, b) = mult(b, a)),
% 4.39/4.56 inference(transitivity,[status(thm)],[1604, 2714, 1585])).
% 4.39/4.56 tff(2716,plain,
% 4.39/4.56 (mult(mult(a, b), c) = mult(mult(b, a), c)),
% 4.39/4.56 inference(monotonicity,[status(thm)],[2715])).
% 4.39/4.56 tff(2717,plain,
% 4.39/4.56 (mult(mult(b, a), c) = mult(mult(a, b), c)),
% 4.39/4.56 inference(symmetry,[status(thm)],[2716])).
% 4.39/4.56 tff(2718,plain,
% 4.39/4.56 (mult(a, mult(mult(a, c), b)) = mult(a, mult(a, mult(b, c)))),
% 4.39/4.56 inference(monotonicity,[status(thm)],[97])).
% 4.39/4.56 tff(2719,plain,
% 4.39/4.56 (mult(a, mult(a, mult(b, c))) = mult(a, mult(mult(a, c), b))),
% 4.39/4.56 inference(symmetry,[status(thm)],[2718])).
% 4.39/4.56 tff(2720,plain,
% 4.39/4.56 (mult(mult(mult(a, c), b), a) = mult(mult(a, mult(b, c)), a)),
% 4.39/4.56 inference(symmetry,[status(thm)],[607])).
% 4.39/4.56 tff(2721,plain,
% 4.39/4.56 (mult(mult(a, c), mult(b, a)) = mult(mult(mult(a, c), b), a)),
% 4.39/4.56 inference(symmetry,[status(thm)],[2686])).
% 4.39/4.56 tff(2722,plain,
% 4.39/4.56 (mult(a, mult(b, mult(a, c))) = mult(a, mult(mult(a, c), b))),
% 4.39/4.56 inference(transitivity,[status(thm)],[514, 512, 2721, 2720, 2690, 2719])).
% 4.39/4.56 tff(2723,plain,
% 4.39/4.56 (ld(a, mult(a, mult(b, mult(a, c)))) = ld(a, mult(a, mult(mult(a, c), b)))),
% 4.39/4.56 inference(monotonicity,[status(thm)],[2722])).
% 4.39/4.56 tff(2724,plain,
% 4.39/4.56 (ld(a, mult(a, mult(mult(a, c), b))) = ld(a, mult(a, mult(b, mult(a, c))))),
% 4.39/4.56 inference(symmetry,[status(thm)],[2723])).
% 4.39/4.56 tff(2725,plain,
% 4.39/4.56 (mult(mult(a, c), b) = mult(a, mult(c, b))),
% 4.39/4.56 inference(transitivity,[status(thm)],[2213, 2724, 409, 513, 2717, 2593])).
% 4.39/4.56 tff(2726,plain,
% 4.39/4.56 ($false),
% 4.39/4.56 inference(unit_resolution,[status(thm)],[41, 2725])).
% 4.39/4.56 tff(2727,plain,((~(mult(mult(a, c), mult(b, a)) = mult(a, mult(mult(b, a), c)))) | (mult(mult(a, c), b) = mult(a, mult(c, b))) | (mult(mult(b, a), c) = mult(b, mult(c, a)))), inference(lemma,lemma(discharge,[]))).
% 4.39/4.56 tff(2728,plain,
% 4.39/4.56 (~(mult(mult(a, c), mult(b, a)) = mult(a, mult(mult(b, a), c)))),
% 4.39/4.56 inference(unit_resolution,[status(thm)],[2727, 41, 14])).
% 4.39/4.56 tff(2729,plain,
% 4.39/4.56 ((~(mult(mult(a, c), mult(b, a)) = mult(a, mult(mult(b, a), c)))) | (~(mult(mult(a, mult(b, a)), c) = mult(a, mult(c, mult(b, a)))))),
% 4.39/4.56 inference(unit_resolution,[status(thm)],[134, 2728])).
% 4.39/4.56 tff(2730,plain,
% 4.39/4.56 (~((~(mult(mult(a, c), mult(b, a)) = mult(a, mult(c, mult(b, a))))) | (~(mult(mult(a, mult(b, a)), c) = mult(a, mult(mult(b, a), c)))))),
% 4.39/4.56 inference(unit_resolution,[status(thm)],[132, 2729])).
% 4.39/4.56 tff(2731,plain,
% 4.39/4.56 (mult(mult(a, c), mult(b, a)) = mult(a, mult(c, mult(b, a)))),
% 4.39/4.56 inference(unit_resolution,[status(thm)],[120, 2730])).
% 4.39/4.56 tff(2732,plain,
% 4.39/4.56 (mult(mult(a, mult(c, b)), a) = mult(mult(mult(a, c), b), a)),
% 4.39/4.56 inference(transitivity,[status(thm)],[260, 370, 679, 352, 527, 153])).
% 4.39/4.56 tff(2733,plain,
% 4.39/4.56 (rd(mult(mult(a, mult(c, b)), a), a) = rd(mult(mult(mult(a, c), b), a), a)),
% 4.39/4.56 inference(monotonicity,[status(thm)],[2732])).
% 4.39/4.56 tff(2734,plain,
% 4.39/4.56 (rd(mult(mult(mult(a, c), b), a), a) = rd(mult(mult(a, mult(c, b)), a), a)),
% 4.39/4.56 inference(symmetry,[status(thm)],[2733])).
% 4.39/4.56 tff(2735,plain,
% 4.39/4.56 (mult(mult(a, c), b) = mult(a, mult(c, b))),
% 4.39/4.56 inference(transitivity,[status(thm)],[389, 2734, 2295])).
% 4.39/4.56 tff(2736,plain,
% 4.39/4.56 ($false),
% 4.39/4.56 inference(unit_resolution,[status(thm)],[41, 2735])).
% 4.39/4.56 tff(2737,plain,((~(mult(mult(mult(a, b), c), a) = mult(mult(a, b), mult(c, a)))) | (mult(mult(a, c), b) = mult(a, mult(c, b))) | (~(mult(mult(a, c), mult(b, a)) = mult(a, mult(c, mult(b, a))))) | (~(mult(mult(mult(a, c), b), a) = mult(mult(a, c), mult(b, a)))) | (~(mult(mult(c, a), b) = mult(c, mult(b, a)))) | (~(mult(mult(a, b), c) = mult(a, mult(c, b))))), inference(lemma,lemma(discharge,[]))).
% 4.39/4.56 tff(2738,plain,
% 4.39/4.56 (~(mult(mult(mult(a, b), c), a) = mult(mult(a, b), mult(c, a)))),
% 4.39/4.56 inference(unit_resolution,[status(thm)],[2737, 41, 2731, 2686, 2082, 2593])).
% 4.39/4.56 tff(2739,plain,
% 4.39/4.56 ((~(mult(mult(mult(a, b), a), c) = mult(mult(a, b), mult(a, c)))) | (~(mult(mult(mult(a, b), c), a) = mult(mult(a, b), mult(c, a))))),
% 4.39/4.56 inference(unit_resolution,[status(thm)],[185, 2738])).
% 4.39/4.56 tff(2740,plain,
% 4.39/4.56 (~((~(mult(mult(mult(a, b), a), c) = mult(mult(a, b), mult(c, a)))) | (~(mult(mult(mult(a, b), c), a) = mult(mult(a, b), mult(a, c)))))),
% 4.39/4.56 inference(unit_resolution,[status(thm)],[183, 2739])).
% 4.39/4.56 tff(2741,plain,
% 4.39/4.56 (mult(mult(mult(a, b), c), a) = mult(mult(a, b), mult(a, c))),
% 4.39/4.56 inference(unit_resolution,[status(thm)],[178, 2740])).
% 4.39/4.56 tff(2742,assumption,(~(mult(mult(a, c), mult(b, a)) = mult(a, mult(mult(b, a), c)))), introduced(assumption)).
% 4.39/4.56 tff(2743,plain,
% 4.39/4.56 ((~(mult(mult(a, c), mult(b, a)) = mult(a, mult(mult(b, a), c)))) | (~(mult(mult(a, mult(b, a)), c) = mult(a, mult(c, mult(b, a)))))),
% 4.39/4.56 inference(unit_resolution,[status(thm)],[134, 2742])).
% 4.39/4.56 tff(2744,plain,
% 4.39/4.56 (~((~(mult(mult(a, c), mult(b, a)) = mult(a, mult(c, mult(b, a))))) | (~(mult(mult(a, mult(b, a)), c) = mult(a, mult(mult(b, a), c)))))),
% 4.39/4.56 inference(unit_resolution,[status(thm)],[132, 2743])).
% 4.39/4.56 tff(2745,plain,
% 4.39/4.56 (mult(mult(a, c), mult(b, a)) = mult(a, mult(c, mult(b, a)))),
% 4.39/4.56 inference(unit_resolution,[status(thm)],[120, 2744])).
% 4.39/4.56 tff(2746,assumption,(~((~(mult(mult(a, a), mult(b, c)) = mult(a, mult(a, mult(b, c))))) | (~(mult(mult(a, mult(b, c)), a) = mult(a, mult(mult(b, c), a)))))), introduced(assumption)).
% 4.39/4.56 tff(2747,plain,
% 4.39/4.56 (mult(mult(a, mult(b, c)), a) = mult(a, mult(mult(b, c), a))),
% 4.39/4.56 inference(unit_resolution,[status(thm)],[506, 2746])).
% 4.39/4.56 tff(2748,plain,
% 4.39/4.56 (mult(a, mult(b, mult(c, a))) = mult(a, mult(mult(c, a), b))),
% 4.39/4.56 inference(transitivity,[status(thm)],[2416, 1424, 215, 93, 368, 2096])).
% 4.39/4.56 tff(2749,plain,
% 4.39/4.56 ((mult(mult(a, b), mult(c, a)) = mult(a, mult(b, mult(c, a)))) <=> (mult(mult(a, b), mult(c, a)) = mult(a, mult(mult(c, a), b)))),
% 4.39/4.56 inference(monotonicity,[status(thm)],[2748])).
% 4.39/4.56 tff(2750,assumption,(~(mult(mult(a, b), mult(c, a)) = mult(a, mult(mult(c, a), b)))), introduced(assumption)).
% 4.39/4.56 tff(2751,plain,
% 4.39/4.56 ((~(mult(mult(a, b), mult(c, a)) = mult(a, mult(mult(c, a), b)))) | (~(mult(mult(a, mult(c, a)), b) = mult(a, mult(b, mult(c, a)))))),
% 4.39/4.56 inference(unit_resolution,[status(thm)],[203, 2750])).
% 4.39/4.56 tff(2752,plain,
% 4.39/4.56 (~((~(mult(mult(a, b), mult(c, a)) = mult(a, mult(b, mult(c, a))))) | (~(mult(mult(a, mult(c, a)), b) = mult(a, mult(mult(c, a), b)))))),
% 4.39/4.56 inference(unit_resolution,[status(thm)],[201, 2751])).
% 4.39/4.56 tff(2753,plain,
% 4.39/4.56 (mult(mult(a, b), mult(c, a)) = mult(a, mult(b, mult(c, a)))),
% 4.39/4.56 inference(unit_resolution,[status(thm)],[196, 2752])).
% 4.39/4.56 tff(2754,plain,
% 4.39/4.56 (mult(mult(a, b), mult(c, a)) = mult(a, mult(mult(c, a), b))),
% 4.39/4.56 inference(modus_ponens,[status(thm)],[2753, 2749])).
% 4.39/4.56 tff(2755,plain,
% 4.39/4.56 ($false),
% 4.39/4.56 inference(unit_resolution,[status(thm)],[2750, 2754])).
% 4.39/4.56 tff(2756,plain,((mult(mult(a, b), mult(c, a)) = mult(a, mult(mult(c, a), b))) | (~(mult(mult(a, mult(b, c)), a) = mult(a, mult(mult(b, c), a)))) | (~(mult(mult(mult(a, c), b), a) = mult(mult(a, c), mult(b, a)))) | (~(mult(mult(a, c), mult(b, a)) = mult(a, mult(c, mult(b, a))))) | (~(mult(mult(c, a), b) = mult(c, mult(b, a)))) | (~(mult(mult(a, c), b) = mult(a, mult(b, c)))) | (~(mult(mult(b, c), a) = mult(b, mult(c, a))))), inference(lemma,lemma(discharge,[]))).
% 4.39/4.56 tff(2757,plain,
% 4.39/4.56 (mult(mult(a, b), mult(c, a)) = mult(a, mult(mult(c, a), b))),
% 4.39/4.56 inference(unit_resolution,[status(thm)],[2756, 2747, 93, 2745, 342, 97, 102])).
% 4.39/4.56 tff(2758,plain,
% 4.39/4.56 (~(mult(mult(mult(a, b), c), a) = mult(mult(a, b), mult(c, a)))),
% 4.39/4.56 inference(unit_resolution,[status(thm)],[2737, 41, 2745, 93, 342, 106])).
% 4.39/4.56 tff(2759,plain,
% 4.39/4.56 ((~(mult(mult(mult(a, b), a), c) = mult(mult(a, b), mult(a, c)))) | (~(mult(mult(mult(a, b), c), a) = mult(mult(a, b), mult(c, a))))),
% 4.39/4.56 inference(unit_resolution,[status(thm)],[185, 2758])).
% 4.39/4.56 tff(2760,plain,
% 4.39/4.56 (~((~(mult(mult(mult(a, b), a), c) = mult(mult(a, b), mult(c, a)))) | (~(mult(mult(mult(a, b), c), a) = mult(mult(a, b), mult(a, c)))))),
% 4.39/4.56 inference(unit_resolution,[status(thm)],[183, 2759])).
% 4.39/4.56 tff(2761,plain,
% 4.39/4.56 (mult(mult(mult(a, b), a), c) = mult(mult(a, b), mult(c, a))),
% 4.39/4.56 inference(unit_resolution,[status(thm)],[1690, 2760])).
% 4.39/4.56 tff(2762,plain,
% 4.39/4.56 ((mult(a, mult(mult(b, a), c)) = mult(mult(a, c), mult(b, a))) <=> (mult(mult(a, c), mult(b, a)) = mult(a, mult(mult(b, a), c)))),
% 4.39/4.56 inference(commutativity,[status(thm)],[])).
% 4.39/4.56 tff(2763,plain,
% 4.39/4.56 (mult(a, mult(c, mult(b, a))) = mult(mult(a, c), mult(b, a))),
% 4.39/4.56 inference(symmetry,[status(thm)],[2745])).
% 4.39/4.56 tff(2764,plain,
% 4.39/4.56 (mult(a, mult(mult(c, a), b)) = mult(mult(a, c), mult(b, a))),
% 4.39/4.56 inference(transitivity,[status(thm)],[352, 2763])).
% 4.39/4.56 tff(2765,plain,
% 4.39/4.56 (mult(mult(a, mult(b, a)), c) = mult(a, mult(mult(b, a), c))),
% 4.39/4.56 inference(unit_resolution,[status(thm)],[1395, 2744])).
% 4.39/4.57 tff(2766,plain,
% 4.39/4.57 (mult(mult(a, b), mult(c, a)) = mult(a, mult(mult(b, a), c))),
% 4.39/4.57 inference(transitivity,[status(thm)],[2432, 220, 2765])).
% 4.39/4.57 tff(2767,plain,
% 4.39/4.57 ((mult(mult(a, b), mult(c, a)) = mult(a, mult(mult(c, a), b))) <=> (mult(a, mult(mult(b, a), c)) = mult(mult(a, c), mult(b, a)))),
% 4.39/4.57 inference(monotonicity,[status(thm)],[2766, 2764])).
% 4.39/4.57 tff(2768,plain,
% 4.39/4.57 ((mult(mult(a, b), mult(c, a)) = mult(a, mult(mult(c, a), b))) <=> (mult(mult(a, c), mult(b, a)) = mult(a, mult(mult(b, a), c)))),
% 4.39/4.57 inference(transitivity,[status(thm)],[2767, 2762])).
% 4.39/4.57 tff(2769,plain,
% 4.39/4.57 ((mult(mult(a, c), mult(b, a)) = mult(a, mult(mult(b, a), c))) <=> (mult(mult(a, b), mult(c, a)) = mult(a, mult(mult(c, a), b)))),
% 4.39/4.57 inference(symmetry,[status(thm)],[2768])).
% 4.39/4.57 tff(2770,plain,
% 4.39/4.57 ((~(mult(mult(a, c), mult(b, a)) = mult(a, mult(mult(b, a), c)))) <=> (~(mult(mult(a, b), mult(c, a)) = mult(a, mult(mult(c, a), b))))),
% 4.39/4.57 inference(monotonicity,[status(thm)],[2769])).
% 4.39/4.57 tff(2771,plain,
% 4.39/4.57 (~(mult(mult(a, b), mult(c, a)) = mult(a, mult(mult(c, a), b)))),
% 4.39/4.57 inference(modus_ponens,[status(thm)],[2742, 2770])).
% 4.39/4.57 tff(2772,plain,
% 4.39/4.57 ((~(mult(mult(a, b), mult(c, a)) = mult(a, mult(mult(c, a), b)))) | (~(mult(mult(a, mult(c, a)), b) = mult(a, mult(b, mult(c, a)))))),
% 4.39/4.57 inference(unit_resolution,[status(thm)],[203, 2771])).
% 4.39/4.57 tff(2773,plain,
% 4.39/4.57 (mult(a, mult(b, mult(c, a))) = mult(a, mult(mult(c, a), b))),
% 4.39/4.57 inference(transitivity,[status(thm)],[2416, 1424, 215, 93, 2745, 2096])).
% 4.39/4.57 tff(2774,plain,
% 4.39/4.57 ((mult(mult(a, b), mult(c, a)) = mult(a, mult(b, mult(c, a)))) <=> (mult(mult(a, b), mult(c, a)) = mult(a, mult(mult(c, a), b)))),
% 4.39/4.57 inference(monotonicity,[status(thm)],[2773])).
% 4.39/4.57 tff(2775,plain,
% 4.39/4.57 ((mult(mult(a, b), mult(c, a)) = mult(a, mult(mult(c, a), b))) <=> (mult(mult(a, b), mult(c, a)) = mult(a, mult(b, mult(c, a))))),
% 4.39/4.57 inference(symmetry,[status(thm)],[2774])).
% 4.39/4.57 tff(2776,plain,
% 4.39/4.57 ((mult(mult(a, c), mult(b, a)) = mult(a, mult(mult(b, a), c))) <=> (mult(mult(a, b), mult(c, a)) = mult(a, mult(b, mult(c, a))))),
% 4.39/4.57 inference(transitivity,[status(thm)],[2769, 2775])).
% 4.39/4.57 tff(2777,plain,
% 4.39/4.57 ((~(mult(mult(a, c), mult(b, a)) = mult(a, mult(mult(b, a), c)))) <=> (~(mult(mult(a, b), mult(c, a)) = mult(a, mult(b, mult(c, a)))))),
% 4.39/4.57 inference(monotonicity,[status(thm)],[2776])).
% 4.39/4.57 tff(2778,plain,
% 4.39/4.57 (~(mult(mult(a, b), mult(c, a)) = mult(a, mult(b, mult(c, a))))),
% 4.39/4.57 inference(modus_ponens,[status(thm)],[2742, 2777])).
% 4.39/4.57 tff(2779,plain,
% 4.39/4.57 ((~(mult(mult(a, b), mult(c, a)) = mult(a, mult(b, mult(c, a))))) | (~(mult(mult(a, mult(c, a)), b) = mult(a, mult(mult(c, a), b))))),
% 4.39/4.57 inference(unit_resolution,[status(thm)],[196, 2778])).
% 4.39/4.57 tff(2780,plain,
% 4.39/4.57 ($false),
% 4.39/4.57 inference(unit_resolution,[status(thm)],[201, 2779, 2772])).
% 4.39/4.57 tff(2781,plain,((~(mult(mult(a, b), a) = mult(a, mult(b, a)))) | (mult(mult(a, c), mult(b, a)) = mult(a, mult(mult(b, a), c))) | (~(mult(mult(c, a), b) = mult(c, mult(b, a)))) | (~(mult(mult(mult(a, b), a), c) = mult(mult(a, b), mult(c, a)))) | (~(mult(mult(a, mult(b, c)), a) = mult(a, mult(mult(b, c), a)))) | (~(mult(mult(mult(a, c), b), a) = mult(mult(a, c), mult(b, a)))) | (~(mult(mult(a, c), b) = mult(a, mult(b, c)))) | (~(mult(mult(b, c), a) = mult(b, mult(c, a))))), inference(lemma,lemma(discharge,[]))).
% 4.39/4.57 tff(2782,plain,
% 4.39/4.57 (~(mult(mult(a, b), a) = mult(a, mult(b, a)))),
% 4.39/4.57 inference(unit_resolution,[status(thm)],[2781, 2747, 342, 2761, 2742, 93, 97, 102])).
% 4.39/4.57 tff(2783,plain,
% 4.39/4.57 ((~(mult(mult(a, a), b) = mult(a, mult(a, b)))) | (~(mult(mult(a, b), a) = mult(a, mult(b, a))))),
% 4.39/4.57 inference(unit_resolution,[status(thm)],[232, 2782])).
% 4.39/4.57 tff(2784,plain,
% 4.39/4.57 (~((~(mult(mult(a, a), b) = mult(a, mult(b, a)))) | (~(mult(mult(a, b), a) = mult(a, mult(a, b)))))),
% 4.39/4.57 inference(unit_resolution,[status(thm)],[244, 2783])).
% 4.39/4.57 tff(2785,plain,
% 4.39/4.57 (mult(mult(a, b), a) = mult(a, mult(a, b))),
% 4.39/4.57 inference(unit_resolution,[status(thm)],[246, 2784])).
% 4.39/4.57 tff(2786,plain,
% 4.39/4.57 (mult(a, mult(a, b)) = mult(mult(a, b), a)),
% 4.39/4.57 inference(symmetry,[status(thm)],[2785])).
% 4.39/4.57 tff(2787,plain,
% 4.39/4.57 (mult(mult(a, mult(a, b)), c) = mult(mult(mult(a, b), a), c)),
% 4.39/4.57 inference(monotonicity,[status(thm)],[2786])).
% 4.39/4.57 tff(2788,plain,
% 4.39/4.57 (mult(a, mult(c, mult(a, b))) = mult(mult(mult(a, b), c), a)),
% 4.39/4.57 inference(transitivity,[status(thm)],[2542, 708, 108])).
% 4.39/4.57 tff(2789,plain,
% 4.39/4.57 (mult(mult(a, mult(a, b)), c) = mult(mult(a, b), mult(c, a))),
% 4.39/4.57 inference(transitivity,[status(thm)],[2787, 2761])).
% 4.39/4.57 tff(2790,plain,
% 4.39/4.57 ((mult(mult(a, mult(a, b)), c) = mult(a, mult(c, mult(a, b)))) <=> (mult(mult(a, b), mult(c, a)) = mult(mult(mult(a, b), c), a))),
% 4.39/4.57 inference(monotonicity,[status(thm)],[2789, 2788])).
% 4.39/4.57 tff(2791,plain,
% 4.39/4.57 ((mult(mult(a, mult(a, b)), c) = mult(a, mult(c, mult(a, b)))) <=> (mult(mult(mult(a, b), c), a) = mult(mult(a, b), mult(c, a)))),
% 4.39/4.57 inference(transitivity,[status(thm)],[2790, 1693])).
% 4.39/4.57 tff(2792,plain,
% 4.39/4.57 ((mult(mult(mult(a, b), c), a) = mult(mult(a, b), mult(c, a))) <=> (mult(mult(a, mult(a, b)), c) = mult(a, mult(c, mult(a, b))))),
% 4.39/4.57 inference(symmetry,[status(thm)],[2791])).
% 4.39/4.57 tff(2793,plain,
% 4.39/4.57 ((~(mult(mult(mult(a, b), c), a) = mult(mult(a, b), mult(c, a)))) <=> (~(mult(mult(a, mult(a, b)), c) = mult(a, mult(c, mult(a, b)))))),
% 4.39/4.57 inference(monotonicity,[status(thm)],[2792])).
% 4.39/4.57 tff(2794,plain,
% 4.39/4.57 (~(mult(mult(a, mult(a, b)), c) = mult(a, mult(c, mult(a, b))))),
% 4.39/4.57 inference(modus_ponens,[status(thm)],[2758, 2793])).
% 4.39/4.57 tff(2795,plain,
% 4.39/4.57 ((~(mult(mult(a, mult(a, b)), c) = mult(a, mult(c, mult(a, b))))) | (~(mult(mult(a, c), mult(a, b)) = mult(a, mult(mult(a, b), c))))),
% 4.39/4.57 inference(unit_resolution,[status(thm)],[287, 2794])).
% 4.39/4.57 tff(2796,plain,
% 4.39/4.57 (~((~(mult(mult(a, mult(a, b)), c) = mult(a, mult(mult(a, b), c)))) | (~(mult(mult(a, c), mult(a, b)) = mult(a, mult(c, mult(a, b))))))),
% 4.39/4.57 inference(unit_resolution,[status(thm)],[292, 2795])).
% 4.39/4.57 tff(2797,plain,
% 4.39/4.57 (mult(mult(a, mult(a, b)), c) = mult(a, mult(mult(a, b), c))),
% 4.39/4.57 inference(unit_resolution,[status(thm)],[266, 2796])).
% 4.39/4.57 tff(2798,plain,
% 4.39/4.57 (mult(a, mult(mult(a, b), c)) = mult(mult(a, mult(a, b)), c)),
% 4.39/4.57 inference(symmetry,[status(thm)],[2797])).
% 4.39/4.57 tff(2799,plain,
% 4.39/4.57 (mult(a, mult(a, mult(c, b))) = mult(a, mult(mult(c, a), b))),
% 4.39/4.57 inference(transitivity,[status(thm)],[111, 2798, 2787, 2761, 2757])).
% 4.39/4.57 tff(2800,plain,
% 4.39/4.57 (ld(a, mult(a, mult(a, mult(c, b)))) = ld(a, mult(a, mult(mult(c, a), b)))),
% 4.39/4.57 inference(monotonicity,[status(thm)],[2799])).
% 4.39/4.57 tff(2801,plain,
% 4.39/4.57 (ld(a, mult(a, mult(mult(c, a), b))) = ld(a, mult(a, mult(a, mult(c, b))))),
% 4.39/4.57 inference(symmetry,[status(thm)],[2800])).
% 4.39/4.57 tff(2802,plain,
% 4.39/4.57 (mult(mult(c, a), b) = mult(a, mult(c, b))),
% 4.39/4.57 inference(transitivity,[status(thm)],[210, 2801, 802])).
% 4.39/4.57 tff(2803,plain,
% 4.39/4.57 (mult(mult(mult(c, a), b), a) = mult(mult(a, mult(c, b)), a)),
% 4.39/4.57 inference(monotonicity,[status(thm)],[2802])).
% 4.39/4.57 tff(2804,assumption,(~(mult(mult(mult(c, a), b), a) = mult(c, mult(mult(a, b), a)))), introduced(assumption)).
% 4.39/4.57 tff(2805,plain,
% 4.39/4.57 ((~![C: $i, B: $i, A: $i] : (mult(mult(mult(A, B), C), B) = mult(A, mult(mult(B, C), B)))) | (mult(mult(mult(c, a), b), a) = mult(c, mult(mult(a, b), a)))),
% 4.39/4.57 inference(quant_inst,[status(thm)],[])).
% 4.39/4.57 tff(2806,plain,
% 4.39/4.57 ($false),
% 4.39/4.57 inference(unit_resolution,[status(thm)],[2805, 860, 2804])).
% 4.39/4.57 tff(2807,plain,(mult(mult(mult(c, a), b), a) = mult(c, mult(mult(a, b), a))), inference(lemma,lemma(discharge,[]))).
% 4.39/4.57 tff(2808,plain,
% 4.39/4.57 (mult(c, mult(mult(a, b), a)) = mult(mult(mult(c, a), b), a)),
% 4.39/4.57 inference(symmetry,[status(thm)],[2807])).
% 4.39/4.57 tff(2809,plain,
% 4.39/4.57 (mult(c, mult(mult(a, b), a)) = mult(mult(mult(a, b), c), a)),
% 4.39/4.57 inference(transitivity,[status(thm)],[2808, 2803, 108])).
% 4.39/4.57 tff(2810,plain,
% 4.39/4.57 (mult(a, mult(mult(b, c), a)) = mult(a, mult(b, mult(c, a)))),
% 4.39/4.57 inference(symmetry,[status(thm)],[2416])).
% 4.39/4.57 tff(2811,plain,
% 4.39/4.57 (mult(mult(a, a), mult(b, c)) = mult(a, mult(a, mult(b, c)))),
% 4.39/4.57 inference(unit_resolution,[status(thm)],[2627, 2746])).
% 4.39/4.57 tff(2812,plain,
% 4.39/4.57 ((mult(a, mult(b, a)) = mult(mult(a, b), a)) <=> (mult(mult(a, b), a) = mult(a, mult(b, a)))),
% 4.39/4.57 inference(commutativity,[status(thm)],[])).
% 4.39/4.57 tff(2813,plain,
% 4.39/4.57 (mult(mult(a, a), b) = mult(a, mult(b, a))),
% 4.39/4.57 inference(unit_resolution,[status(thm)],[308, 2784])).
% 4.39/4.57 tff(2814,plain,
% 4.39/4.57 ((mult(mult(a, a), b) = mult(a, mult(a, b))) <=> (mult(a, mult(b, a)) = mult(mult(a, b), a))),
% 4.39/4.57 inference(monotonicity,[status(thm)],[2813, 2786])).
% 4.39/4.57 tff(2815,plain,
% 4.39/4.57 ((mult(mult(a, a), b) = mult(a, mult(a, b))) <=> (mult(mult(a, b), a) = mult(a, mult(b, a)))),
% 4.39/4.57 inference(transitivity,[status(thm)],[2814, 2812])).
% 4.39/4.57 tff(2816,plain,
% 4.39/4.57 ((mult(mult(a, b), a) = mult(a, mult(b, a))) <=> (mult(mult(a, a), b) = mult(a, mult(a, b)))),
% 4.39/4.57 inference(symmetry,[status(thm)],[2815])).
% 4.39/4.57 tff(2817,plain,
% 4.39/4.57 ((~(mult(mult(a, b), a) = mult(a, mult(b, a)))) <=> (~(mult(mult(a, a), b) = mult(a, mult(a, b))))),
% 4.39/4.57 inference(monotonicity,[status(thm)],[2816])).
% 4.39/4.57 tff(2818,plain,
% 4.39/4.57 (~(mult(mult(a, a), b) = mult(a, mult(a, b)))),
% 4.39/4.57 inference(modus_ponens,[status(thm)],[2782, 2817])).
% 4.39/4.57 tff(2819,plain,
% 4.39/4.57 (mult(mult(mult(a, b), c), a) = mult(mult(a, b), mult(a, c))),
% 4.39/4.57 inference(unit_resolution,[status(thm)],[178, 2760])).
% 4.39/4.57 tff(2820,plain,
% 4.39/4.57 (mult(mult(a, b), mult(a, c)) = mult(mult(mult(a, b), c), a)),
% 4.39/4.57 inference(symmetry,[status(thm)],[2819])).
% 4.39/4.57 tff(2821,plain,
% 4.39/4.57 ((mult(mult(mult(a, b), a), c) = mult(mult(a, b), mult(a, c))) <=> (mult(mult(a, b), mult(c, a)) = mult(mult(mult(a, b), c), a))),
% 4.39/4.57 inference(monotonicity,[status(thm)],[2761, 2820])).
% 4.39/4.57 tff(2822,plain,
% 4.39/4.57 ((mult(mult(mult(a, b), a), c) = mult(mult(a, b), mult(a, c))) <=> (mult(mult(mult(a, b), c), a) = mult(mult(a, b), mult(c, a)))),
% 4.39/4.57 inference(transitivity,[status(thm)],[2821, 1693])).
% 4.39/4.57 tff(2823,plain,
% 4.39/4.57 ((mult(mult(mult(a, b), c), a) = mult(mult(a, b), mult(c, a))) <=> (mult(mult(mult(a, b), a), c) = mult(mult(a, b), mult(a, c)))),
% 4.39/4.57 inference(symmetry,[status(thm)],[2822])).
% 4.39/4.57 tff(2824,plain,
% 4.39/4.57 ((~(mult(mult(mult(a, b), c), a) = mult(mult(a, b), mult(c, a)))) <=> (~(mult(mult(mult(a, b), a), c) = mult(mult(a, b), mult(a, c))))),
% 4.39/4.57 inference(monotonicity,[status(thm)],[2823])).
% 4.39/4.57 tff(2825,plain,
% 4.39/4.57 (~(mult(mult(mult(a, b), a), c) = mult(mult(a, b), mult(a, c)))),
% 4.39/4.57 inference(modus_ponens,[status(thm)],[2758, 2824])).
% 4.39/4.57 tff(2826,plain,
% 4.39/4.57 (mult(mult(mult(a, b), a), c) = mult(mult(mult(a, b), c), a)),
% 4.39/4.57 inference(transitivity,[status(thm)],[254, 256, 112, 369, 108])).
% 4.39/4.57 tff(2827,plain,
% 4.39/4.57 ((mult(mult(mult(a, b), a), c) = mult(mult(a, b), mult(c, a))) <=> (mult(mult(mult(a, b), c), a) = mult(mult(a, b), mult(c, a)))),
% 4.39/4.57 inference(monotonicity,[status(thm)],[2826])).
% 4.39/4.57 tff(2828,plain,
% 4.39/4.57 (mult(mult(mult(a, b), c), a) = mult(mult(a, b), mult(c, a))),
% 4.39/4.57 inference(modus_ponens,[status(thm)],[1691, 2827])).
% 4.39/4.57 tff(2829,plain,
% 4.39/4.57 ($false),
% 4.39/4.57 inference(unit_resolution,[status(thm)],[1687, 2828])).
% 4.39/4.57 tff(2830,plain,((mult(mult(mult(a, b), c), a) = mult(mult(a, b), mult(c, a))) | (~(mult(mult(a, mult(c, b)), a) = mult(a, mult(a, mult(c, b))))) | (~(mult(mult(a, mult(a, b)), c) = mult(a, mult(mult(a, b), c)))) | (~(mult(mult(a, b), a) = mult(a, mult(a, b)))) | (~(mult(mult(a, b), c) = mult(a, mult(c, b))))), inference(lemma,lemma(discharge,[]))).
% 4.39/4.57 tff(2831,plain,
% 4.39/4.57 (~(mult(mult(a, mult(c, b)), a) = mult(a, mult(a, mult(c, b))))),
% 4.39/4.57 inference(unit_resolution,[status(thm)],[2830, 2797, 106, 2758, 2785])).
% 4.39/4.57 tff(2832,assumption,(~(mult(mult(a, a), b) = mult(a, mult(a, b)))), introduced(assumption)).
% 4.39/4.57 tff(2833,plain,
% 4.39/4.57 ((~(mult(mult(a, a), b) = mult(a, mult(a, b)))) | (~(mult(mult(a, b), a) = mult(a, mult(b, a))))),
% 4.39/4.57 inference(unit_resolution,[status(thm)],[443, 2832])).
% 4.39/4.57 tff(2834,plain,
% 4.39/4.57 (~((~(mult(mult(a, a), b) = mult(a, mult(b, a)))) | (~(mult(mult(a, b), a) = mult(a, mult(a, b)))))),
% 4.39/4.57 inference(unit_resolution,[status(thm)],[244, 2833])).
% 4.39/4.57 tff(2835,plain,
% 4.39/4.57 (mult(mult(a, b), a) = mult(a, mult(a, b))),
% 4.39/4.57 inference(unit_resolution,[status(thm)],[246, 2834])).
% 4.39/4.57 tff(2836,assumption,(~(mult(mult(mult(a, a), b), c) = mult(mult(a, a), mult(b, c)))), introduced(assumption)).
% 4.39/4.57 tff(2837,plain,
% 4.39/4.57 ((~(mult(mult(mult(a, a), b), c) = mult(mult(a, a), mult(b, c)))) | (~(mult(mult(mult(a, a), c), b) = mult(mult(a, a), mult(c, b))))),
% 4.39/4.57 inference(unit_resolution,[status(thm)],[317, 2836])).
% 4.39/4.57 tff(2838,plain,
% 4.39/4.57 (~((~(mult(mult(mult(a, a), b), c) = mult(mult(a, a), mult(c, b)))) | (~(mult(mult(mult(a, a), c), b) = mult(mult(a, a), mult(b, c)))))),
% 4.39/4.57 inference(unit_resolution,[status(thm)],[338, 2837])).
% 4.39/4.57 tff(2839,plain,
% 4.39/4.57 (mult(mult(mult(a, a), b), c) = mult(mult(a, a), mult(c, b))),
% 4.39/4.57 inference(unit_resolution,[status(thm)],[326, 2838])).
% 4.39/4.57 tff(2840,plain,
% 4.39/4.57 (mult(mult(a, a), mult(c, b)) = mult(mult(mult(a, a), b), c)),
% 4.39/4.57 inference(symmetry,[status(thm)],[2839])).
% 4.39/4.57 tff(2841,plain,
% 4.39/4.57 ((~(mult(mult(a, a), mult(c, b)) = mult(a, mult(mult(c, b), a)))) | (~(mult(mult(a, mult(c, b)), a) = mult(a, mult(a, mult(c, b)))))),
% 4.39/4.57 inference(unit_resolution,[status(thm)],[88, 2409])).
% 4.39/4.57 tff(2842,plain,
% 4.39/4.57 (mult(mult(a, mult(c, b)), a) = mult(a, mult(mult(c, b), a))),
% 4.39/4.57 inference(unit_resolution,[status(thm)],[86, 2841])).
% 4.39/4.57 tff(2843,plain,
% 4.39/4.57 (mult(mult(a, a), mult(c, b)) = mult(a, mult(a, mult(c, b)))),
% 4.39/4.57 inference(unit_resolution,[status(thm)],[1580, 2842])).
% 4.39/4.57 tff(2844,plain,
% 4.39/4.57 (mult(a, mult(a, mult(c, b))) = mult(mult(a, a), mult(c, b))),
% 4.39/4.57 inference(symmetry,[status(thm)],[2843])).
% 4.39/4.57 tff(2845,plain,
% 4.39/4.57 (mult(a, mult(mult(c, b), a)) = mult(mult(a, mult(c, b)), a)),
% 4.39/4.57 inference(symmetry,[status(thm)],[2842])).
% 4.39/4.57 tff(2846,plain,
% 4.39/4.57 (mult(mult(a, a), b) = mult(a, mult(b, a))),
% 4.39/4.57 inference(unit_resolution,[status(thm)],[308, 2834])).
% 4.39/4.57 tff(2847,plain,
% 4.39/4.57 ((mult(a, mult(a, mult(c, b))) = mult(mult(a, mult(c, b)), a)) <=> (mult(mult(a, mult(c, b)), a) = mult(a, mult(a, mult(c, b))))),
% 4.39/4.57 inference(commutativity,[status(thm)],[])).
% 4.39/4.57 tff(2848,plain,
% 4.39/4.57 (mult(a, mult(c, mult(b, a))) = mult(mult(a, mult(c, b)), a)),
% 4.39/4.57 inference(transitivity,[status(thm)],[1695, 2845])).
% 4.39/4.57 tff(2849,plain,
% 4.39/4.57 (~((~(mult(mult(mult(a, a), b), c) = mult(mult(a, a), mult(c, b)))) | (~(mult(mult(mult(a, a), c), b) = mult(mult(a, a), mult(b, c)))))),
% 4.39/4.57 inference(unit_resolution,[status(thm)],[337, 30, 2837])).
% 4.39/4.57 tff(2850,plain,
% 4.39/4.57 (mult(mult(mult(a, a), b), c) = mult(mult(a, a), mult(c, b))),
% 4.39/4.57 inference(unit_resolution,[status(thm)],[326, 2849])).
% 4.39/4.57 tff(2851,assumption,(mult(mult(a, a), b) = mult(a, mult(b, a))), introduced(assumption)).
% 4.39/4.57 tff(2852,plain,
% 4.39/4.57 (mult(a, mult(b, a)) = mult(mult(a, a), b)),
% 4.39/4.57 inference(symmetry,[status(thm)],[2851])).
% 4.39/4.57 tff(2853,plain,
% 4.39/4.57 (mult(mult(a, mult(b, a)), c) = mult(mult(mult(a, a), b), c)),
% 4.39/4.57 inference(monotonicity,[status(thm)],[2852])).
% 4.39/4.57 tff(2854,plain,
% 4.39/4.57 (mult(mult(a, mult(b, a)), c) = mult(a, mult(a, mult(c, b)))),
% 4.39/4.57 inference(transitivity,[status(thm)],[2853, 2850, 2843])).
% 4.39/4.57 tff(2855,plain,
% 4.39/4.57 ((mult(mult(a, mult(b, a)), c) = mult(a, mult(c, mult(b, a)))) <=> (mult(a, mult(a, mult(c, b))) = mult(mult(a, mult(c, b)), a))),
% 4.39/4.57 inference(monotonicity,[status(thm)],[2854, 2848])).
% 4.39/4.57 tff(2856,plain,
% 4.39/4.57 ((mult(mult(a, mult(b, a)), c) = mult(a, mult(c, mult(b, a)))) <=> (mult(mult(a, mult(c, b)), a) = mult(a, mult(a, mult(c, b))))),
% 4.39/4.57 inference(transitivity,[status(thm)],[2855, 2847])).
% 4.39/4.57 tff(2857,plain,
% 4.39/4.57 ((mult(mult(a, mult(c, b)), a) = mult(a, mult(a, mult(c, b)))) <=> (mult(mult(a, mult(b, a)), c) = mult(a, mult(c, mult(b, a))))),
% 4.39/4.57 inference(symmetry,[status(thm)],[2856])).
% 4.39/4.57 tff(2858,plain,
% 4.39/4.57 ((~(mult(mult(a, mult(c, b)), a) = mult(a, mult(a, mult(c, b))))) <=> (~(mult(mult(a, mult(b, a)), c) = mult(a, mult(c, mult(b, a)))))),
% 4.39/4.57 inference(monotonicity,[status(thm)],[2857])).
% 4.39/4.57 tff(2859,plain,
% 4.39/4.57 (~(mult(mult(a, mult(b, a)), c) = mult(a, mult(c, mult(b, a))))),
% 4.39/4.57 inference(modus_ponens,[status(thm)],[2409, 2858])).
% 4.39/4.57 tff(2860,plain,
% 4.39/4.57 ((~(mult(mult(a, c), mult(b, a)) = mult(a, mult(mult(b, a), c)))) | (~(mult(mult(a, mult(b, a)), c) = mult(a, mult(c, mult(b, a)))))),
% 4.39/4.57 inference(unit_resolution,[status(thm)],[217, 2859])).
% 4.39/4.57 tff(2861,plain,
% 4.39/4.57 (~((~(mult(mult(a, c), mult(b, a)) = mult(a, mult(c, mult(b, a))))) | (~(mult(mult(a, mult(b, a)), c) = mult(a, mult(mult(b, a), c)))))),
% 4.39/4.57 inference(unit_resolution,[status(thm)],[132, 2860])).
% 4.39/4.57 tff(2862,plain,
% 4.39/4.57 (mult(mult(a, c), mult(b, a)) = mult(a, mult(c, mult(b, a)))),
% 4.39/4.57 inference(unit_resolution,[status(thm)],[120, 2861])).
% 4.39/4.57 tff(2863,plain,
% 4.39/4.57 (mult(mult(mult(a, c), b), a) = mult(mult(mult(a, b), c), a)),
% 4.39/4.57 inference(transitivity,[status(thm)],[93, 2862, 1695, 2845, 108])).
% 4.39/4.57 tff(2864,plain,
% 4.39/4.57 (rd(mult(mult(mult(a, c), b), a), a) = rd(mult(mult(mult(a, b), c), a), a)),
% 4.39/4.57 inference(monotonicity,[status(thm)],[2863])).
% 4.39/4.57 tff(2865,plain,
% 4.39/4.57 (mult(mult(a, c), b) = mult(a, mult(c, b))),
% 4.39/4.57 inference(transitivity,[status(thm)],[389, 2864, 172, 106])).
% 4.39/4.57 tff(2866,plain,
% 4.39/4.57 ($false),
% 4.39/4.57 inference(unit_resolution,[status(thm)],[41, 2865])).
% 4.39/4.57 tff(2867,plain,((mult(mult(a, mult(c, b)), a) = mult(a, mult(a, mult(c, b)))) | (mult(mult(a, c), b) = mult(a, mult(c, b))) | (~(mult(mult(a, b), c) = mult(a, mult(c, b)))) | (~(mult(mult(mult(a, c), b), a) = mult(mult(a, c), mult(b, a)))) | (~(mult(mult(c, b), a) = mult(c, mult(b, a)))) | (~(mult(mult(a, a), b) = mult(a, mult(b, a)))) | (mult(mult(mult(a, a), b), c) = mult(mult(a, a), mult(b, c)))), inference(lemma,lemma(discharge,[]))).
% 4.39/4.57 tff(2868,plain,
% 4.39/4.57 (~(mult(mult(c, b), a) = mult(c, mult(b, a)))),
% 4.39/4.57 inference(unit_resolution,[status(thm)],[2867, 2836, 106, 93, 2409, 2846, 41])).
% 4.39/4.57 tff(2869,plain,
% 4.39/4.57 ((~(mult(mult(c, b), a) = mult(c, mult(b, a)))) | (~(mult(mult(c, a), b) = mult(c, mult(a, b))))),
% 4.39/4.57 inference(unit_resolution,[status(thm)],[543, 2868])).
% 4.39/4.57 tff(2870,plain,
% 4.39/4.57 (~((~(mult(mult(c, b), a) = mult(c, mult(a, b)))) | (~(mult(mult(c, a), b) = mult(c, mult(b, a)))))),
% 4.39/4.57 inference(unit_resolution,[status(thm)],[301, 2869])).
% 4.39/4.57 tff(2871,plain,
% 4.39/4.57 (mult(mult(c, b), a) = mult(c, mult(a, b))),
% 4.39/4.57 inference(unit_resolution,[status(thm)],[546, 2870])).
% 4.39/4.57 tff(2872,plain,
% 4.39/4.57 (mult(c, mult(a, b)) = mult(mult(c, b), a)),
% 4.39/4.57 inference(symmetry,[status(thm)],[2871])).
% 4.39/4.57 tff(2873,plain,
% 4.39/4.57 (mult(a, mult(c, mult(a, b))) = mult(a, mult(mult(c, b), a))),
% 4.39/4.57 inference(monotonicity,[status(thm)],[2872])).
% 4.39/4.57 tff(2874,plain,
% 4.39/4.57 (mult(a, mult(c, mult(a, b))) = mult(mult(a, b), mult(a, c))),
% 4.39/4.57 inference(transitivity,[status(thm)],[2873, 2845, 260, 168])).
% 4.39/4.57 tff(2875,plain,
% 4.39/4.57 (mult(mult(mult(a, b), a), c) = mult(mult(a, mult(a, b)), c)),
% 4.39/4.57 inference(monotonicity,[status(thm)],[2835])).
% 4.39/4.57 tff(2876,plain,
% 4.39/4.57 (mult(mult(a, mult(a, b)), c) = mult(mult(mult(a, b), a), c)),
% 4.39/4.57 inference(symmetry,[status(thm)],[2875])).
% 4.39/4.57 tff(2877,plain,
% 4.39/4.57 ((mult(mult(a, mult(a, b)), c) = mult(a, mult(c, mult(a, b)))) <=> (mult(mult(mult(a, b), a), c) = mult(mult(a, b), mult(a, c)))),
% 4.39/4.57 inference(monotonicity,[status(thm)],[2876, 2874])).
% 4.39/4.57 tff(2878,plain,
% 4.39/4.57 ((mult(mult(mult(a, b), a), c) = mult(mult(a, b), mult(a, c))) <=> (mult(mult(a, mult(a, b)), c) = mult(a, mult(c, mult(a, b))))),
% 4.39/4.57 inference(symmetry,[status(thm)],[2877])).
% 4.39/4.57 tff(2879,plain,
% 4.39/4.57 ((~(mult(mult(mult(a, b), a), c) = mult(mult(a, b), mult(a, c)))) <=> (~(mult(mult(a, mult(a, b)), c) = mult(a, mult(c, mult(a, b)))))),
% 4.39/4.57 inference(monotonicity,[status(thm)],[2878])).
% 4.39/4.57 tff(2880,assumption,(~(mult(mult(mult(a, b), a), c) = mult(mult(a, b), mult(a, c)))), introduced(assumption)).
% 4.39/4.57 tff(2881,plain,
% 4.39/4.57 (~(mult(mult(a, mult(a, b)), c) = mult(a, mult(c, mult(a, b))))),
% 4.39/4.57 inference(modus_ponens,[status(thm)],[2880, 2879])).
% 4.39/4.58 tff(2882,plain,
% 4.39/4.58 ((~(mult(mult(a, mult(a, b)), c) = mult(a, mult(c, mult(a, b))))) | (~(mult(mult(a, c), mult(a, b)) = mult(a, mult(mult(a, b), c))))),
% 4.39/4.58 inference(unit_resolution,[status(thm)],[287, 2881])).
% 4.39/4.58 tff(2883,plain,
% 4.39/4.58 (~((~(mult(mult(a, mult(a, b)), c) = mult(a, mult(mult(a, b), c)))) | (~(mult(mult(a, c), mult(a, b)) = mult(a, mult(c, mult(a, b))))))),
% 4.39/4.58 inference(unit_resolution,[status(thm)],[292, 2882])).
% 4.39/4.58 tff(2884,plain,
% 4.39/4.58 (mult(mult(a, mult(a, b)), c) = mult(a, mult(mult(a, b), c))),
% 4.39/4.58 inference(unit_resolution,[status(thm)],[266, 2883])).
% 4.39/4.58 tff(2885,plain,
% 4.39/4.58 (mult(mult(mult(a, b), a), c) = mult(mult(mult(a, a), b), c)),
% 4.39/4.58 inference(transitivity,[status(thm)],[2875, 2884, 112, 2844, 2840])).
% 4.39/4.58 tff(2886,plain,
% 4.39/4.58 (rd(mult(mult(mult(a, b), a), c), c) = rd(mult(mult(mult(a, a), b), c), c)),
% 4.39/4.58 inference(monotonicity,[status(thm)],[2885])).
% 4.39/4.58 tff(2887,plain,
% 4.39/4.58 (rd(mult(mult(mult(a, a), b), c), c) = rd(mult(mult(mult(a, b), a), c), c)),
% 4.39/4.58 inference(symmetry,[status(thm)],[2886])).
% 4.39/4.58 tff(2888,plain,
% 4.39/4.58 ((~![B: $i, A: $i] : (rd(mult(A, B), B) = A)) | (rd(mult(mult(mult(a, a), b), c), c) = mult(mult(a, a), b))),
% 4.39/4.58 inference(quant_inst,[status(thm)],[])).
% 4.39/4.58 tff(2889,plain,
% 4.39/4.58 (rd(mult(mult(mult(a, a), b), c), c) = mult(mult(a, a), b)),
% 4.39/4.58 inference(unit_resolution,[status(thm)],[2888, 72])).
% 4.39/4.58 tff(2890,plain,
% 4.39/4.58 (mult(mult(a, a), b) = rd(mult(mult(mult(a, a), b), c), c)),
% 4.39/4.58 inference(symmetry,[status(thm)],[2889])).
% 4.39/4.58 tff(2891,plain,
% 4.39/4.58 (mult(mult(a, a), b) = mult(a, mult(a, b))),
% 4.39/4.58 inference(transitivity,[status(thm)],[2890, 2887, 2015, 2835])).
% 4.39/4.58 tff(2892,plain,
% 4.39/4.58 ($false),
% 4.39/4.58 inference(unit_resolution,[status(thm)],[2832, 2891])).
% 4.39/4.58 tff(2893,plain,((mult(mult(mult(a, a), b), c) = mult(mult(a, a), mult(b, c))) | (mult(mult(a, a), b) = mult(a, mult(a, b))) | (~(mult(mult(a, b), c) = mult(a, mult(c, b)))) | (mult(mult(mult(a, b), a), c) = mult(mult(a, b), mult(a, c))) | (~(mult(mult(mult(a, b), c), a) = mult(mult(a, b), mult(a, c)))) | (~(mult(mult(mult(a, c), b), a) = mult(mult(a, c), mult(b, a)))) | (mult(mult(a, mult(c, b)), a) = mult(a, mult(a, mult(c, b)))) | (mult(mult(a, c), b) = mult(a, mult(c, b)))), inference(lemma,lemma(discharge,[]))).
% 4.39/4.58 tff(2894,plain,
% 4.39/4.58 (mult(mult(mult(a, a), b), c) = mult(mult(a, a), mult(b, c))),
% 4.39/4.58 inference(unit_resolution,[status(thm)],[2893, 2831, 106, 2825, 2819, 93, 2818, 41])).
% 4.39/4.58 tff(2895,plain,
% 4.39/4.58 (mult(mult(mult(a, a), b), c) = mult(mult(a, mult(b, a)), c)),
% 4.39/4.58 inference(monotonicity,[status(thm)],[2813])).
% 4.39/4.58 tff(2896,plain,
% 4.39/4.58 (mult(mult(a, mult(b, a)), c) = mult(mult(mult(a, a), b), c)),
% 4.39/4.58 inference(symmetry,[status(thm)],[2895])).
% 4.39/4.58 tff(2897,plain,
% 4.39/4.58 (mult(a, mult(mult(b, a), c)) = mult(mult(a, mult(b, a)), c)),
% 4.39/4.58 inference(symmetry,[status(thm)],[2765])).
% 4.39/4.58 tff(2898,plain,
% 4.39/4.58 (mult(a, mult(b, mult(a, c))) = mult(a, mult(mult(a, c), b))),
% 4.39/4.58 inference(transitivity,[status(thm)],[1059, 2897, 2896, 2894, 2811, 2719])).
% 4.39/4.58 tff(2899,plain,
% 4.39/4.58 (ld(a, mult(a, mult(b, mult(a, c)))) = ld(a, mult(a, mult(mult(a, c), b)))),
% 4.39/4.58 inference(monotonicity,[status(thm)],[2898])).
% 4.39/4.58 tff(2900,plain,
% 4.39/4.58 (mult(mult(mult(a, a), b), c) = mult(mult(a, mult(b, a)), c)),
% 4.39/4.58 inference(monotonicity,[status(thm)],[2851])).
% 4.39/4.58 tff(2901,plain,
% 4.39/4.58 (mult(mult(a, a), mult(b, c)) = mult(mult(mult(a, a), b), c)),
% 4.39/4.58 inference(symmetry,[status(thm)],[2629])).
% 4.39/4.58 tff(2902,plain,
% 4.39/4.58 (mult(a, mult(mult(a, c), b)) = mult(a, mult(b, mult(a, c)))),
% 4.39/4.58 inference(transitivity,[status(thm)],[150, 1194, 2901, 2900, 1435, 148])).
% 4.39/4.58 tff(2903,plain,
% 4.39/4.58 ((mult(mult(a, b), mult(a, c)) = mult(a, mult(mult(a, c), b))) <=> (mult(mult(a, b), mult(a, c)) = mult(a, mult(b, mult(a, c))))),
% 4.39/4.58 inference(monotonicity,[status(thm)],[2902])).
% 4.39/4.58 tff(2904,plain,
% 4.39/4.58 (mult(mult(a, b), mult(a, c)) = mult(a, mult(b, mult(a, c)))),
% 4.39/4.58 inference(modus_ponens,[status(thm)],[2064, 2903])).
% 4.39/4.58 tff(2905,plain,
% 4.39/4.58 ($false),
% 4.39/4.58 inference(unit_resolution,[status(thm)],[1159, 2904])).
% 4.39/4.58 tff(2906,plain,((mult(mult(a, b), mult(a, c)) = mult(a, mult(b, mult(a, c)))) | (~(mult(mult(a, a), mult(b, c)) = mult(a, mult(a, mult(b, c))))) | (~(mult(mult(mult(a, a), b), c) = mult(mult(a, a), mult(b, c)))) | (~(mult(mult(a, mult(b, a)), c) = mult(a, mult(mult(b, a), c)))) | (~(mult(mult(b, a), c) = mult(b, mult(a, c)))) | (~(mult(mult(a, a), b) = mult(a, mult(b, a)))) | (~(mult(mult(a, c), b) = mult(a, mult(b, c))))), inference(lemma,lemma(discharge,[]))).
% 4.39/4.58 tff(2907,plain,
% 4.39/4.58 (mult(mult(a, b), mult(a, c)) = mult(a, mult(b, mult(a, c)))),
% 4.39/4.58 inference(unit_resolution,[status(thm)],[2906, 2811, 2894, 2765, 118, 2813, 97])).
% 4.39/4.58 tff(2908,plain,
% 4.39/4.58 (mult(a, mult(c, mult(a, b))) = mult(a, mult(b, mult(a, c)))),
% 4.39/4.58 inference(transitivity,[status(thm)],[2542, 708, 108, 2819, 2907])).
% 4.39/4.58 tff(2909,plain,
% 4.39/4.58 (ld(a, mult(a, mult(c, mult(a, b)))) = ld(a, mult(a, mult(b, mult(a, c))))),
% 4.39/4.58 inference(monotonicity,[status(thm)],[2908])).
% 4.39/4.58 tff(2910,plain,
% 4.39/4.58 (mult(c, mult(a, b)) = mult(mult(a, c), b)),
% 4.39/4.58 inference(transitivity,[status(thm)],[668, 2909, 2899, 2212])).
% 4.39/4.58 tff(2911,plain,
% 4.39/4.58 (mult(mult(c, mult(a, b)), a) = mult(mult(mult(a, c), b), a)),
% 4.41/4.58 inference(monotonicity,[status(thm)],[2910])).
% 4.41/4.58 tff(2912,plain,
% 4.41/4.58 (mult(mult(c, mult(a, b)), a) = mult(a, mult(b, mult(c, a)))),
% 4.41/4.58 inference(transitivity,[status(thm)],[2911, 2720, 2747, 2810])).
% 4.41/4.58 tff(2913,plain,
% 4.41/4.58 ((mult(mult(c, mult(a, b)), a) = mult(c, mult(mult(a, b), a))) <=> (mult(a, mult(b, mult(c, a))) = mult(mult(mult(a, b), c), a))),
% 4.41/4.58 inference(monotonicity,[status(thm)],[2912, 2809])).
% 4.41/4.58 tff(2914,plain,
% 4.41/4.58 ((mult(a, mult(b, mult(c, a))) = mult(mult(mult(a, b), c), a)) <=> (mult(mult(c, mult(a, b)), a) = mult(c, mult(mult(a, b), a)))),
% 4.41/4.58 inference(symmetry,[status(thm)],[2913])).
% 4.41/4.58 tff(2915,plain,
% 4.41/4.58 ((~(mult(a, mult(b, mult(c, a))) = mult(mult(mult(a, b), c), a))) <=> (~(mult(mult(c, mult(a, b)), a) = mult(c, mult(mult(a, b), a))))),
% 4.41/4.58 inference(monotonicity,[status(thm)],[2914])).
% 4.41/4.58 tff(2916,plain,
% 4.41/4.58 (~(mult(mult(c, mult(a, b)), a) = mult(c, mult(mult(a, b), a)))),
% 4.41/4.58 inference(modus_ponens,[status(thm)],[194, 2915])).
% 4.41/4.58 tff(2917,plain,
% 4.41/4.58 (mult(c, mult(a, mult(a, b))) = mult(c, mult(mult(a, b), a))),
% 4.41/4.58 inference(monotonicity,[status(thm)],[1544])).
% 4.41/4.58 tff(2918,plain,
% 4.41/4.58 ((mult(mult(c, mult(a, b)), a) = mult(c, mult(a, mult(a, b)))) <=> (mult(mult(c, mult(a, b)), a) = mult(c, mult(mult(a, b), a)))),
% 4.41/4.58 inference(monotonicity,[status(thm)],[2917])).
% 4.41/4.58 tff(2919,assumption,(~(mult(mult(c, mult(a, b)), a) = mult(c, mult(mult(a, b), a)))), introduced(assumption)).
% 4.41/4.58 tff(2920,plain,
% 4.41/4.58 (((~(mult(mult(c, a), mult(a, b)) = mult(c, mult(a, mult(a, b))))) | (~(mult(mult(c, mult(a, b)), a) = mult(c, mult(mult(a, b), a))))) | (mult(mult(c, mult(a, b)), a) = mult(c, mult(mult(a, b), a)))),
% 4.41/4.58 inference(tautology,[status(thm)],[])).
% 4.41/4.58 tff(2921,plain,
% 4.41/4.58 ((~(mult(mult(c, a), mult(a, b)) = mult(c, mult(a, mult(a, b))))) | (~(mult(mult(c, mult(a, b)), a) = mult(c, mult(mult(a, b), a))))),
% 4.41/4.58 inference(unit_resolution,[status(thm)],[2920, 2919])).
% 4.41/4.58 tff(2922,plain,
% 4.41/4.58 (((~![X0: $i, X1: $i, X2: $i] : ((~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X2, X1)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X1, X2)))))) | (~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X1, X2)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X2, X1)))))))) | ((~((~(mult(mult(c, a), mult(a, b)) = mult(c, mult(mult(a, b), a)))) | (~(mult(mult(c, mult(a, b)), a) = mult(c, mult(a, mult(a, b))))))) | (~((~(mult(mult(c, a), mult(a, b)) = mult(c, mult(a, mult(a, b))))) | (~(mult(mult(c, mult(a, b)), a) = mult(c, mult(mult(a, b), a)))))))) <=> ((~![X0: $i, X1: $i, X2: $i] : ((~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X2, X1)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X1, X2)))))) | (~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X1, X2)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X2, X1)))))))) | (~((~(mult(mult(c, a), mult(a, b)) = mult(c, mult(mult(a, b), a)))) | (~(mult(mult(c, mult(a, b)), a) = mult(c, mult(a, mult(a, b))))))) | (~((~(mult(mult(c, a), mult(a, b)) = mult(c, mult(a, mult(a, b))))) | (~(mult(mult(c, mult(a, b)), a) = mult(c, mult(mult(a, b), a)))))))),
% 4.41/4.58 inference(rewrite,[status(thm)],[])).
% 4.41/4.58 tff(2923,plain,
% 4.41/4.58 ((~![X0: $i, X1: $i, X2: $i] : ((~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X2, X1)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X1, X2)))))) | (~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X1, X2)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X2, X1)))))))) | ((~((~(mult(mult(c, a), mult(a, b)) = mult(c, mult(mult(a, b), a)))) | (~(mult(mult(c, mult(a, b)), a) = mult(c, mult(a, mult(a, b))))))) | (~((~(mult(mult(c, a), mult(a, b)) = mult(c, mult(a, mult(a, b))))) | (~(mult(mult(c, mult(a, b)), a) = mult(c, mult(mult(a, b), a)))))))),
% 4.41/4.58 inference(quant_inst,[status(thm)],[])).
% 4.41/4.58 tff(2924,plain,
% 4.41/4.58 ((~![X0: $i, X1: $i, X2: $i] : ((~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X2, X1)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X1, X2)))))) | (~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X1, X2)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X2, X1)))))))) | (~((~(mult(mult(c, a), mult(a, b)) = mult(c, mult(mult(a, b), a)))) | (~(mult(mult(c, mult(a, b)), a) = mult(c, mult(a, mult(a, b))))))) | (~((~(mult(mult(c, a), mult(a, b)) = mult(c, mult(a, mult(a, b))))) | (~(mult(mult(c, mult(a, b)), a) = mult(c, mult(mult(a, b), a))))))),
% 4.41/4.58 inference(modus_ponens,[status(thm)],[2923, 2922])).
% 4.41/4.58 tff(2925,plain,
% 4.41/4.58 ((~((~(mult(mult(c, a), mult(a, b)) = mult(c, mult(mult(a, b), a)))) | (~(mult(mult(c, mult(a, b)), a) = mult(c, mult(a, mult(a, b))))))) | (~((~(mult(mult(c, a), mult(a, b)) = mult(c, mult(a, mult(a, b))))) | (~(mult(mult(c, mult(a, b)), a) = mult(c, mult(mult(a, b), a))))))),
% 4.41/4.58 inference(unit_resolution,[status(thm)],[2924, 30])).
% 4.41/4.58 tff(2926,plain,
% 4.41/4.58 (~((~(mult(mult(c, a), mult(a, b)) = mult(c, mult(mult(a, b), a)))) | (~(mult(mult(c, mult(a, b)), a) = mult(c, mult(a, mult(a, b))))))),
% 4.41/4.58 inference(unit_resolution,[status(thm)],[2925, 2921])).
% 4.41/4.58 tff(2927,plain,
% 4.41/4.58 (((~(mult(mult(c, a), mult(a, b)) = mult(c, mult(mult(a, b), a)))) | (~(mult(mult(c, mult(a, b)), a) = mult(c, mult(a, mult(a, b)))))) | (mult(mult(c, mult(a, b)), a) = mult(c, mult(a, mult(a, b))))),
% 4.41/4.58 inference(tautology,[status(thm)],[])).
% 4.41/4.58 tff(2928,plain,
% 4.41/4.58 (mult(mult(c, mult(a, b)), a) = mult(c, mult(a, mult(a, b)))),
% 4.41/4.58 inference(unit_resolution,[status(thm)],[2927, 2926])).
% 4.41/4.58 tff(2929,plain,
% 4.41/4.58 (mult(mult(c, mult(a, b)), a) = mult(c, mult(mult(a, b), a))),
% 4.41/4.58 inference(modus_ponens,[status(thm)],[2928, 2918])).
% 4.41/4.58 tff(2930,plain,
% 4.41/4.58 ($false),
% 4.41/4.58 inference(unit_resolution,[status(thm)],[2919, 2929])).
% 4.41/4.58 tff(2931,plain,((mult(mult(c, mult(a, b)), a) = mult(c, mult(mult(a, b), a))) | (~(mult(mult(a, b), a) = mult(a, mult(a, b))))), inference(lemma,lemma(discharge,[]))).
% 4.41/4.58 tff(2932,plain,
% 4.41/4.58 (mult(mult(c, mult(a, b)), a) = mult(c, mult(mult(a, b), a))),
% 4.41/4.58 inference(unit_resolution,[status(thm)],[2931, 2785])).
% 4.41/4.58 tff(2933,plain,
% 4.41/4.58 ($false),
% 4.41/4.58 inference(unit_resolution,[status(thm)],[2932, 2916])).
% 4.41/4.58 tff(2934,plain,(((~(mult(mult(a, a), mult(b, c)) = mult(a, mult(a, mult(b, c))))) | (~(mult(mult(a, mult(b, c)), a) = mult(a, mult(mult(b, c), a))))) | (~(mult(mult(a, b), c) = mult(a, mult(c, b)))) | (~(mult(mult(b, a), c) = mult(b, mult(a, c)))) | (~(mult(mult(a, mult(c, b)), a) = mult(a, mult(mult(c, b), a)))) | (~(mult(mult(b, c), a) = mult(b, mult(c, a)))) | (~(mult(mult(mult(a, c), b), a) = mult(mult(a, c), mult(b, a)))) | (~(mult(mult(c, a), b) = mult(c, mult(b, a)))) | (mult(mult(a, c), b) = mult(a, mult(c, b))) | (mult(mult(a, c), mult(b, a)) = mult(a, mult(mult(b, a), c)))), inference(lemma,lemma(discharge,[]))).
% 4.41/4.58 tff(2935,plain,
% 4.41/4.58 ((~(mult(mult(a, a), mult(b, c)) = mult(a, mult(a, mult(b, c))))) | (~(mult(mult(a, mult(b, c)), a) = mult(a, mult(mult(b, c), a))))),
% 4.41/4.58 inference(unit_resolution,[status(thm)],[2934, 706, 99, 2593, 37, 2686, 2082, 41, 2728])).
% 4.41/4.58 tff(2936,plain,
% 4.41/4.58 (~((~(mult(mult(a, a), mult(b, c)) = mult(a, mult(mult(b, c), a)))) | (~(mult(mult(a, mult(b, c)), a) = mult(a, mult(a, mult(b, c))))))),
% 4.41/4.58 inference(unit_resolution,[status(thm)],[504, 2935])).
% 4.41/4.58 tff(2937,plain,
% 4.41/4.58 (mult(mult(a, mult(b, c)), a) = mult(a, mult(a, mult(b, c)))),
% 4.41/4.58 inference(unit_resolution,[status(thm)],[95, 2936])).
% 4.41/4.58 tff(2938,plain,
% 4.41/4.58 (mult(mult(a, b), mult(a, c)) = mult(a, mult(mult(a, c), b))),
% 4.41/4.58 inference(unit_resolution,[status(thm)],[365, 2937, 99, 2082, 97, 2686, 14])).
% 4.41/4.58 tff(2939,plain,
% 4.41/4.58 ($false),
% 4.41/4.58 inference(unit_resolution,[status(thm)],[176, 2938, 2937, 97, 65, 2741])).
% 4.41/4.58 tff(2940,plain,((mult(mult(a, c), b) = mult(a, mult(c, b))) | (mult(mult(b, a), c) = mult(b, mult(c, a)))), inference(lemma,lemma(discharge,[]))).
% 4.41/4.58 tff(2941,plain,
% 4.41/4.58 (mult(mult(a, c), b) = mult(a, mult(c, b))),
% 4.41/4.58 inference(unit_resolution,[status(thm)],[2940, 14])).
% 4.41/4.58 tff(2942,plain,
% 4.41/4.58 (mult(a, mult(mult(a, c), b)) = mult(a, mult(a, mult(c, b)))),
% 4.41/4.58 inference(monotonicity,[status(thm)],[2941])).
% 4.41/4.58 tff(2943,plain,
% 4.41/4.58 (mult(a, mult(a, mult(c, b))) = mult(a, mult(mult(a, c), b))),
% 4.41/4.58 inference(symmetry,[status(thm)],[2942])).
% 4.41/4.58 tff(2944,plain,
% 4.41/4.58 (mult(mult(mult(a, c), b), a) = mult(mult(a, mult(c, b)), a)),
% 4.41/4.58 inference(monotonicity,[status(thm)],[2941])).
% 4.41/4.58 tff(2945,plain,
% 4.41/4.58 (mult(mult(a, b), c) = mult(a, mult(c, b))),
% 4.41/4.58 inference(unit_resolution,[status(thm)],[2592, 102, 342, 118, 2095])).
% 4.41/4.58 tff(2946,plain,
% 4.41/4.58 (mult(mult(a, b), c) = mult(a, mult(b, c))),
% 4.41/4.58 inference(unit_resolution,[status(thm)],[1930, 788, 2945])).
% 4.41/4.58 tff(2947,plain,
% 4.41/4.58 (mult(mult(mult(a, b), c), a) = mult(mult(a, mult(b, c)), a)),
% 4.41/4.58 inference(monotonicity,[status(thm)],[2946])).
% 4.41/4.58 tff(2948,plain,
% 4.41/4.58 (mult(mult(a, mult(b, c)), a) = mult(mult(mult(a, b), c), a)),
% 4.41/4.58 inference(symmetry,[status(thm)],[2947])).
% 4.41/4.58 tff(2949,plain,
% 4.41/4.58 ((mult(mult(a, mult(b, c)), a) = mult(a, mult(mult(b, c), a))) <=> (mult(mult(mult(a, b), c), a) = mult(a, mult(b, mult(c, a))))),
% 4.41/4.58 inference(monotonicity,[status(thm)],[2948, 2810])).
% 4.41/4.58 tff(2950,plain,
% 4.41/4.58 ((mult(mult(a, mult(b, c)), a) = mult(a, mult(mult(b, c), a))) <=> (mult(a, mult(b, mult(c, a))) = mult(mult(mult(a, b), c), a))),
% 4.41/4.58 inference(transitivity,[status(thm)],[2949, 15])).
% 4.41/4.58 tff(2951,plain,
% 4.41/4.58 ((mult(a, mult(b, mult(c, a))) = mult(mult(mult(a, b), c), a)) <=> (mult(mult(a, mult(b, c)), a) = mult(a, mult(mult(b, c), a)))),
% 4.41/4.58 inference(symmetry,[status(thm)],[2950])).
% 4.41/4.58 tff(2952,plain,
% 4.41/4.58 ((~(mult(a, mult(b, mult(c, a))) = mult(mult(mult(a, b), c), a))) <=> (~(mult(mult(a, mult(b, c)), a) = mult(a, mult(mult(b, c), a))))),
% 4.41/4.58 inference(monotonicity,[status(thm)],[2951])).
% 4.41/4.58 tff(2953,plain,
% 4.41/4.58 (~(mult(mult(a, mult(b, c)), a) = mult(a, mult(mult(b, c), a)))),
% 4.41/4.58 inference(modus_ponens,[status(thm)],[194, 2952])).
% 4.41/4.58 tff(2954,plain,
% 4.41/4.58 ((~(mult(mult(a, mult(b, c)), a) = mult(a, mult(mult(b, c), a)))) | (~(mult(mult(a, a), mult(b, c)) = mult(a, mult(a, mult(b, c)))))),
% 4.41/4.58 inference(unit_resolution,[status(thm)],[660, 2953])).
% 4.41/4.58 tff(2955,plain,
% 4.41/4.58 (~((~(mult(mult(a, mult(b, c)), a) = mult(a, mult(a, mult(b, c))))) | (~(mult(mult(a, a), mult(b, c)) = mult(a, mult(mult(b, c), a)))))),
% 4.41/4.58 inference(unit_resolution,[status(thm)],[658, 2954])).
% 4.41/4.58 tff(2956,plain,
% 4.41/4.58 (mult(mult(a, mult(b, c)), a) = mult(a, mult(a, mult(b, c)))),
% 4.41/4.58 inference(unit_resolution,[status(thm)],[786, 2955])).
% 4.41/4.58 tff(2957,plain,
% 4.41/4.58 ((mult(mult(a, mult(b, c)), a) = mult(a, mult(mult(b, c), a))) <=> (mult(mult(mult(a, b), c), a) = mult(a, mult(b, mult(c, a))))),
% 4.41/4.58 inference(monotonicity,[status(thm)],[2948, 103])).
% 4.41/4.58 tff(2958,plain,
% 4.41/4.58 ((mult(mult(a, mult(b, c)), a) = mult(a, mult(mult(b, c), a))) <=> (mult(a, mult(b, mult(c, a))) = mult(mult(mult(a, b), c), a))),
% 4.41/4.58 inference(transitivity,[status(thm)],[2957, 15])).
% 4.41/4.58 tff(2959,plain,
% 4.41/4.58 ((mult(a, mult(b, mult(c, a))) = mult(mult(mult(a, b), c), a)) <=> (mult(mult(a, mult(b, c)), a) = mult(a, mult(mult(b, c), a)))),
% 4.41/4.58 inference(symmetry,[status(thm)],[2958])).
% 4.41/4.58 tff(2960,plain,
% 4.41/4.58 ((~(mult(a, mult(b, mult(c, a))) = mult(mult(mult(a, b), c), a))) <=> (~(mult(mult(a, mult(b, c)), a) = mult(a, mult(mult(b, c), a))))),
% 4.41/4.58 inference(monotonicity,[status(thm)],[2959])).
% 4.41/4.58 tff(2961,plain,
% 4.41/4.58 (~(mult(mult(a, mult(b, c)), a) = mult(a, mult(mult(b, c), a)))),
% 4.41/4.58 inference(modus_ponens,[status(thm)],[194, 2960])).
% 4.41/4.58 tff(2962,plain,
% 4.41/4.58 ((~(mult(mult(a, mult(b, c)), a) = mult(a, mult(mult(b, c), a)))) | (~(mult(mult(a, a), mult(b, c)) = mult(a, mult(a, mult(b, c)))))),
% 4.41/4.58 inference(unit_resolution,[status(thm)],[660, 2961])).
% 4.41/4.58 tff(2963,plain,
% 4.41/4.58 (~((~(mult(mult(a, mult(b, c)), a) = mult(a, mult(a, mult(b, c))))) | (~(mult(mult(a, a), mult(b, c)) = mult(a, mult(mult(b, c), a)))))),
% 4.41/4.58 inference(unit_resolution,[status(thm)],[658, 2962])).
% 4.41/4.58 tff(2964,plain,
% 4.41/4.58 (mult(mult(a, mult(b, c)), a) = mult(a, mult(a, mult(b, c)))),
% 4.41/4.58 inference(unit_resolution,[status(thm)],[786, 2963])).
% 4.41/4.58 tff(2965,assumption,(~((~(mult(mult(a, c), mult(b, a)) = mult(a, mult(mult(b, a), c)))) | (~(mult(mult(a, mult(b, a)), c) = mult(a, mult(c, mult(b, a))))))), introduced(assumption)).
% 4.41/4.58 tff(2966,plain,
% 4.41/4.58 (mult(mult(a, mult(b, a)), c) = mult(a, mult(c, mult(b, a)))),
% 4.41/4.58 inference(unit_resolution,[status(thm)],[217, 2965])).
% 4.41/4.58 tff(2967,plain,
% 4.41/4.58 (mult(mult(mult(a, b), c), a) = mult(mult(a, b), mult(a, c))),
% 4.41/4.58 inference(unit_resolution,[status(thm)],[2153, 2966, 342, 1568])).
% 4.41/4.58 tff(2968,plain,
% 4.41/4.58 (~(mult(mult(a, b), mult(a, c)) = mult(a, mult(b, mult(a, c))))),
% 4.41/4.58 inference(unit_resolution,[status(thm)],[974, 2967, 118, 2946, 2964, 614])).
% 4.41/4.59 tff(2969,plain,
% 4.41/4.59 ((~(mult(mult(a, b), mult(a, c)) = mult(a, mult(b, mult(a, c))))) | (~(mult(mult(a, mult(a, c)), b) = mult(a, mult(mult(a, c), b))))),
% 4.41/4.59 inference(unit_resolution,[status(thm)],[1806, 2968])).
% 4.41/4.59 tff(2970,plain,
% 4.41/4.59 (~((~(mult(mult(a, b), mult(a, c)) = mult(a, mult(mult(a, c), b)))) | (~(mult(mult(a, mult(a, c)), b) = mult(a, mult(b, mult(a, c))))))),
% 4.41/4.59 inference(unit_resolution,[status(thm)],[1810, 30, 2969])).
% 4.41/4.59 tff(2971,plain,
% 4.41/4.59 (mult(mult(a, b), mult(a, c)) = mult(a, mult(mult(a, c), b))),
% 4.41/4.59 inference(unit_resolution,[status(thm)],[1813, 2970])).
% 4.41/4.59 tff(2972,plain,
% 4.41/4.59 (mult(a, mult(mult(a, c), b)) = mult(mult(a, b), mult(a, c))),
% 4.41/4.59 inference(symmetry,[status(thm)],[2971])).
% 4.41/4.59 tff(2973,plain,
% 4.41/4.59 (mult(mult(a, c), mult(b, a)) = mult(a, mult(mult(b, a), c))),
% 4.41/4.59 inference(unit_resolution,[status(thm)],[134, 2965])).
% 4.41/4.59 tff(2974,plain,
% 4.41/4.59 (((~(mult(mult(a, b), mult(a, c)) = mult(a, mult(mult(a, c), b)))) | (~(mult(mult(a, mult(a, c)), b) = mult(a, mult(b, mult(a, c)))))) | (mult(mult(a, mult(a, c)), b) = mult(a, mult(b, mult(a, c))))),
% 4.41/4.59 inference(tautology,[status(thm)],[])).
% 4.41/4.59 tff(2975,plain,
% 4.41/4.59 (mult(mult(a, mult(a, c)), b) = mult(a, mult(b, mult(a, c)))),
% 4.41/4.59 inference(unit_resolution,[status(thm)],[2974, 2970])).
% 4.41/4.59 tff(2976,plain,
% 4.41/4.59 (mult(mult(a, mult(a, c)), a) = mult(a, mult(mult(a, c), a))),
% 4.41/4.59 inference(unit_resolution,[status(thm)],[1654, 2975, 118, 1526, 2973])).
% 4.41/4.59 tff(2977,assumption,(~((~(mult(mult(a, a), mult(c, b)) = mult(a, mult(mult(c, b), a)))) | (~(mult(mult(a, mult(c, b)), a) = mult(a, mult(a, mult(c, b))))))), introduced(assumption)).
% 4.41/4.59 tff(2978,plain,
% 4.41/4.59 (mult(mult(a, a), mult(c, b)) = mult(a, mult(mult(c, b), a))),
% 4.41/4.59 inference(unit_resolution,[status(thm)],[319, 2977])).
% 4.41/4.59 tff(2979,plain,
% 4.41/4.59 ((mult(a, mult(mult(a, b), c)) = mult(mult(a, c), mult(a, b))) <=> (mult(mult(a, c), mult(a, b)) = mult(a, mult(mult(a, b), c)))),
% 4.41/4.59 inference(commutativity,[status(thm)],[])).
% 4.41/4.59 tff(2980,plain,
% 4.41/4.59 (mult(mult(a, mult(c, b)), a) = mult(a, mult(a, mult(c, b)))),
% 4.41/4.59 inference(unit_resolution,[status(thm)],[88, 2977])).
% 4.41/4.59 tff(2981,plain,
% 4.41/4.59 (mult(a, mult(a, mult(c, b))) = mult(mult(a, mult(c, b)), a)),
% 4.41/4.59 inference(symmetry,[status(thm)],[2980])).
% 4.41/4.59 tff(2982,plain,
% 4.41/4.59 (mult(mult(a, b), mult(a, c)) = mult(mult(a, c), mult(a, b))),
% 4.41/4.59 inference(transitivity,[status(thm)],[167, 913, 2981, 2244, 594])).
% 4.41/4.59 tff(2983,plain,
% 4.41/4.59 ((mult(mult(a, mult(b, c)), a) = mult(a, mult(mult(b, c), a))) <=> (mult(mult(mult(a, b), c), a) = mult(a, mult(b, mult(c, a))))),
% 4.41/4.59 inference(monotonicity,[status(thm)],[2383, 2810])).
% 4.41/4.59 tff(2984,plain,
% 4.41/4.59 ((mult(mult(a, mult(b, c)), a) = mult(a, mult(mult(b, c), a))) <=> (mult(a, mult(b, mult(c, a))) = mult(mult(mult(a, b), c), a))),
% 4.41/4.59 inference(transitivity,[status(thm)],[2983, 15])).
% 4.41/4.59 tff(2985,plain,
% 4.41/4.59 ((mult(a, mult(b, mult(c, a))) = mult(mult(mult(a, b), c), a)) <=> (mult(mult(a, mult(b, c)), a) = mult(a, mult(mult(b, c), a)))),
% 4.41/4.59 inference(symmetry,[status(thm)],[2984])).
% 4.41/4.59 tff(2986,plain,
% 4.41/4.59 ((~(mult(a, mult(b, mult(c, a))) = mult(mult(mult(a, b), c), a))) <=> (~(mult(mult(a, mult(b, c)), a) = mult(a, mult(mult(b, c), a))))),
% 4.41/4.59 inference(monotonicity,[status(thm)],[2985])).
% 4.41/4.59 tff(2987,plain,
% 4.41/4.59 (~(mult(mult(a, mult(b, c)), a) = mult(a, mult(mult(b, c), a)))),
% 4.41/4.59 inference(modus_ponens,[status(thm)],[194, 2986])).
% 4.41/4.59 tff(2988,plain,
% 4.41/4.59 ((~(mult(mult(a, mult(b, c)), a) = mult(a, mult(mult(b, c), a)))) | (~(mult(mult(a, a), mult(b, c)) = mult(a, mult(a, mult(b, c)))))),
% 4.41/4.59 inference(unit_resolution,[status(thm)],[660, 2987])).
% 4.41/4.59 tff(2989,plain,
% 4.41/4.59 (~((~(mult(mult(a, mult(b, c)), a) = mult(a, mult(a, mult(b, c))))) | (~(mult(mult(a, a), mult(b, c)) = mult(a, mult(mult(b, c), a)))))),
% 4.41/4.59 inference(unit_resolution,[status(thm)],[658, 2988])).
% 4.41/4.59 tff(2990,plain,
% 4.41/4.59 (mult(mult(a, mult(b, c)), a) = mult(a, mult(a, mult(b, c)))),
% 4.41/4.59 inference(unit_resolution,[status(thm)],[786, 2989])).
% 4.41/4.59 tff(2991,plain,
% 4.41/4.59 (mult(mult(mult(a, b), c), a) = mult(a, mult(mult(a, b), c))),
% 4.41/4.59 inference(transitivity,[status(thm)],[2382, 2990, 2381])).
% 4.41/4.59 tff(2992,plain,
% 4.41/4.59 ((mult(mult(mult(a, b), c), a) = mult(mult(a, b), mult(a, c))) <=> (mult(a, mult(mult(a, b), c)) = mult(mult(a, c), mult(a, b)))),
% 4.41/4.59 inference(monotonicity,[status(thm)],[2991, 2982])).
% 4.41/4.59 tff(2993,plain,
% 4.41/4.59 ((mult(mult(mult(a, b), c), a) = mult(mult(a, b), mult(a, c))) <=> (mult(mult(a, c), mult(a, b)) = mult(a, mult(mult(a, b), c)))),
% 4.41/4.59 inference(transitivity,[status(thm)],[2992, 2979])).
% 4.41/4.59 tff(2994,plain,
% 4.41/4.59 (mult(mult(a, c), mult(a, b)) = mult(a, mult(mult(a, b), c))),
% 4.41/4.59 inference(modus_ponens,[status(thm)],[168, 2993])).
% 4.41/4.59 tff(2995,plain,
% 4.41/4.59 (mult(a, mult(mult(a, b), c)) = mult(mult(a, c), mult(a, b))),
% 4.41/4.59 inference(symmetry,[status(thm)],[2994])).
% 4.41/4.59 tff(2996,plain,
% 4.41/4.59 (mult(mult(mult(a, b), c), a) = mult(mult(a, mult(c, b)), a)),
% 4.41/4.59 inference(transitivity,[status(thm)],[2382, 2990, 2381, 2995, 1106, 958])).
% 4.41/4.59 tff(2997,plain,
% 4.41/4.59 (rd(mult(mult(mult(a, b), c), a), a) = rd(mult(mult(a, mult(c, b)), a), a)),
% 4.41/4.59 inference(monotonicity,[status(thm)],[2996])).
% 4.41/4.59 tff(2998,plain,
% 4.41/4.59 (rd(mult(mult(a, mult(c, b)), a), a) = rd(mult(mult(mult(a, b), c), a), a)),
% 4.41/4.59 inference(symmetry,[status(thm)],[2997])).
% 4.41/4.59 tff(2999,plain,
% 4.41/4.59 (mult(a, mult(c, b)) = rd(mult(mult(a, mult(c, b)), a), a)),
% 4.41/4.59 inference(symmetry,[status(thm)],[2295])).
% 4.41/4.59 tff(3000,plain,
% 4.41/4.59 (mult(a, mult(c, b)) = mult(a, mult(b, c))),
% 4.41/4.59 inference(transitivity,[status(thm)],[2999, 2998, 172, 59])).
% 4.41/4.59 tff(3001,plain,
% 4.41/4.59 (ld(a, mult(a, mult(c, b))) = ld(a, mult(a, mult(b, c)))),
% 4.41/4.59 inference(monotonicity,[status(thm)],[3000])).
% 4.41/4.59 tff(3002,plain,
% 4.41/4.59 (mult(c, b) = mult(b, c)),
% 4.41/4.59 inference(transitivity,[status(thm)],[808, 3001, 39])).
% 4.41/4.59 tff(3003,plain,
% 4.41/4.59 (mult(mult(a, a), mult(c, b)) = mult(mult(a, a), mult(b, c))),
% 4.41/4.59 inference(monotonicity,[status(thm)],[3002])).
% 4.41/4.59 tff(3004,plain,
% 4.41/4.59 (mult(mult(a, a), mult(b, c)) = mult(mult(a, a), mult(c, b))),
% 4.41/4.59 inference(symmetry,[status(thm)],[3003])).
% 4.41/4.59 tff(3005,plain,
% 4.41/4.59 ((mult(mult(mult(a, a), c), b) = mult(mult(a, a), mult(b, c))) <=> (mult(mult(mult(a, a), c), b) = mult(mult(a, a), mult(c, b)))),
% 4.41/4.59 inference(monotonicity,[status(thm)],[3004])).
% 4.41/4.59 tff(3006,plain,
% 4.41/4.59 ((mult(mult(mult(a, a), c), b) = mult(mult(a, a), mult(c, b))) <=> (mult(mult(mult(a, a), c), b) = mult(mult(a, a), mult(b, c)))),
% 4.41/4.59 inference(symmetry,[status(thm)],[3005])).
% 4.41/4.59 tff(3007,plain,
% 4.41/4.59 (mult(mult(mult(a, a), c), b) = mult(mult(a, a), mult(c, b))),
% 4.41/4.59 inference(unit_resolution,[status(thm)],[1028, 167, 59, 788, 2990, 168])).
% 4.41/4.59 tff(3008,plain,
% 4.41/4.59 (mult(mult(mult(a, a), c), b) = mult(mult(a, a), mult(b, c))),
% 4.41/4.59 inference(modus_ponens,[status(thm)],[3007, 3006])).
% 4.41/4.59 tff(3009,plain,
% 4.41/4.59 (mult(mult(a, a), c) = mult(a, mult(a, c))),
% 4.41/4.59 inference(transitivity,[status(thm)],[1663, 2648, 1630])).
% 4.41/4.59 tff(3010,plain,
% 4.41/4.59 (mult(mult(mult(a, a), c), b) = mult(mult(a, mult(a, c)), b)),
% 4.41/4.59 inference(monotonicity,[status(thm)],[3009])).
% 4.41/4.59 tff(3011,plain,
% 4.41/4.59 (mult(mult(a, mult(a, c)), b) = mult(mult(mult(a, a), c), b)),
% 4.41/4.59 inference(symmetry,[status(thm)],[3010])).
% 4.41/4.59 tff(3012,plain,
% 4.41/4.59 (mult(a, mult(b, mult(a, c))) = mult(a, mult(c, mult(a, b)))),
% 4.41/4.59 inference(transitivity,[status(thm)],[1631, 3011, 3008, 3004, 2978, 1434])).
% 4.41/4.59 tff(3013,plain,
% 4.41/4.59 (ld(a, mult(a, mult(b, mult(a, c)))) = ld(a, mult(a, mult(c, mult(a, b))))),
% 4.41/4.59 inference(monotonicity,[status(thm)],[3012])).
% 4.41/4.59 tff(3014,plain,
% 4.41/4.59 (ld(a, mult(a, mult(c, mult(a, b)))) = ld(a, mult(a, mult(b, mult(a, c))))),
% 4.41/4.59 inference(symmetry,[status(thm)],[3013])).
% 4.41/4.59 tff(3015,plain,
% 4.41/4.59 (mult(mult(c, b), a) = mult(mult(b, c), a)),
% 4.41/4.59 inference(monotonicity,[status(thm)],[3002])).
% 4.41/4.59 tff(3016,plain,
% 4.41/4.59 (mult(mult(b, c), a) = mult(mult(c, b), a)),
% 4.41/4.59 inference(symmetry,[status(thm)],[3015])).
% 4.41/4.59 tff(3017,plain,
% 4.41/4.59 (mult(b, mult(c, a)) = mult(b, mult(a, c))),
% 4.41/4.59 inference(transitivity,[status(thm)],[526, 3016, 1110, 668, 3014, 409])).
% 4.41/4.59 tff(3018,plain,
% 4.41/4.59 ($false),
% 4.41/4.59 inference(unit_resolution,[status(thm)],[2095, 3017])).
% 4.41/4.59 tff(3019,plain,(((~(mult(mult(a, a), mult(c, b)) = mult(a, mult(mult(c, b), a)))) | (~(mult(mult(a, mult(c, b)), a) = mult(a, mult(a, mult(c, b)))))) | (mult(b, mult(c, a)) = mult(b, mult(a, c))) | (~(mult(mult(c, b), a) = mult(c, mult(a, b)))) | (~(mult(mult(b, c), a) = mult(b, mult(c, a)))) | (~(mult(mult(a, b), c) = mult(a, mult(b, c)))) | (~(mult(mult(mult(a, c), b), a) = mult(mult(a, c), mult(a, b)))) | (~(mult(mult(a, c), b) = mult(a, mult(c, b)))) | (~(mult(mult(a, mult(a, c)), b) = mult(a, mult(b, mult(a, c))))) | (~(mult(mult(a, mult(a, c)), a) = mult(a, mult(mult(a, c), a)))) | (~(mult(mult(mult(a, b), c), a) = mult(mult(a, b), mult(a, c)))) | (~(mult(mult(a, b), mult(a, c)) = mult(a, mult(mult(a, c), b))))), inference(lemma,lemma(discharge,[]))).
% 4.41/4.59 tff(3020,plain,
% 4.41/4.59 ((~(mult(mult(a, a), mult(c, b)) = mult(a, mult(mult(c, b), a)))) | (~(mult(mult(a, mult(c, b)), a) = mult(a, mult(a, mult(c, b)))))),
% 4.41/4.59 inference(unit_resolution,[status(thm)],[3019, 2975, 2110, 102, 2946, 971, 788, 2095, 2976, 2967, 2971])).
% 4.41/4.59 tff(3021,plain,
% 4.41/4.59 (mult(mult(a, mult(c, b)), a) = mult(a, mult(mult(c, b), a))),
% 4.41/4.59 inference(unit_resolution,[status(thm)],[86, 3020])).
% 4.41/4.59 tff(3022,plain,
% 4.41/4.59 (mult(mult(a, a), mult(c, b)) = mult(a, mult(a, mult(c, b)))),
% 4.41/4.59 inference(unit_resolution,[status(thm)],[1580, 3021])).
% 4.41/4.59 tff(3023,plain,
% 4.41/4.59 (mult(mult(a, a), mult(c, b)) = mult(mult(a, b), mult(a, c))),
% 4.41/4.59 inference(transitivity,[status(thm)],[3022, 798, 2972])).
% 4.41/4.59 tff(3024,plain,
% 4.41/4.59 (mult(a, mult(mult(a, c), a)) = mult(mult(a, mult(a, c)), a)),
% 4.41/4.59 inference(symmetry,[status(thm)],[2976])).
% 4.41/4.59 tff(3025,plain,
% 4.41/4.59 (mult(mult(mult(a, a), c), a) = mult(mult(a, mult(a, c)), a)),
% 4.41/4.59 inference(transitivity,[status(thm)],[1658, 3024])).
% 4.41/4.59 tff(3026,plain,
% 4.41/4.59 (rd(mult(mult(mult(a, a), c), a), a) = rd(mult(mult(a, mult(a, c)), a), a)),
% 4.41/4.59 inference(monotonicity,[status(thm)],[3025])).
% 4.41/4.59 tff(3027,plain,
% 4.41/4.59 (mult(mult(a, a), c) = mult(a, mult(a, c))),
% 4.41/4.59 inference(transitivity,[status(thm)],[1663, 3026, 1630])).
% 4.41/4.59 tff(3028,plain,
% 4.41/4.59 (mult(mult(mult(a, a), c), b) = mult(mult(a, mult(a, c)), b)),
% 4.41/4.59 inference(monotonicity,[status(thm)],[3027])).
% 4.41/4.59 tff(3029,plain,
% 4.41/4.59 (mult(mult(mult(a, a), c), b) = mult(a, mult(b, mult(a, c)))),
% 4.41/4.59 inference(transitivity,[status(thm)],[3028, 2975])).
% 4.41/4.59 tff(3030,plain,
% 4.41/4.59 ((mult(mult(mult(a, a), c), b) = mult(mult(a, a), mult(c, b))) <=> (mult(a, mult(b, mult(a, c))) = mult(mult(a, b), mult(a, c)))),
% 4.41/4.59 inference(monotonicity,[status(thm)],[3029, 3023])).
% 4.41/4.59 tff(3031,plain,
% 4.41/4.59 ((mult(mult(mult(a, a), c), b) = mult(mult(a, a), mult(c, b))) <=> (mult(mult(a, b), mult(a, c)) = mult(a, mult(b, mult(a, c))))),
% 4.41/4.59 inference(transitivity,[status(thm)],[3030, 1169])).
% 4.41/4.59 tff(3032,plain,
% 4.41/4.59 ((mult(mult(a, b), mult(a, c)) = mult(a, mult(b, mult(a, c)))) <=> (mult(mult(mult(a, a), c), b) = mult(mult(a, a), mult(c, b)))),
% 4.41/4.59 inference(symmetry,[status(thm)],[3031])).
% 4.41/4.59 tff(3033,plain,
% 4.41/4.59 ((~(mult(mult(a, b), mult(a, c)) = mult(a, mult(b, mult(a, c))))) <=> (~(mult(mult(mult(a, a), c), b) = mult(mult(a, a), mult(c, b))))),
% 4.41/4.59 inference(monotonicity,[status(thm)],[3032])).
% 4.41/4.59 tff(3034,plain,
% 4.41/4.59 (~(mult(mult(mult(a, a), c), b) = mult(mult(a, a), mult(c, b)))),
% 4.41/4.59 inference(modus_ponens,[status(thm)],[2968, 3033])).
% 4.41/4.59 tff(3035,plain,
% 4.41/4.59 (mult(mult(mult(a, a), c), b) = mult(mult(a, a), mult(c, b))),
% 4.41/4.59 inference(unit_resolution,[status(thm)],[1028, 2971, 2946, 788, 2964, 2967])).
% 4.41/4.59 tff(3036,plain,
% 4.41/4.59 ($false),
% 4.41/4.59 inference(unit_resolution,[status(thm)],[3035, 3034])).
% 4.41/4.59 tff(3037,plain,(((~(mult(mult(a, c), mult(b, a)) = mult(a, mult(mult(b, a), c)))) | (~(mult(mult(a, mult(b, a)), c) = mult(a, mult(c, mult(b, a)))))) | (~(mult(mult(a, c), b) = mult(a, mult(c, b)))) | (~(mult(mult(b, c), a) = mult(b, mult(c, a)))) | (mult(b, mult(c, a)) = mult(b, mult(a, c))) | (~(mult(mult(b, a), c) = mult(b, mult(a, c)))) | (mult(mult(mult(a, c), b), a) = mult(mult(a, c), mult(b, a))) | (~(mult(mult(c, a), b) = mult(c, mult(b, a))))), inference(lemma,lemma(discharge,[]))).
% 4.41/4.59 tff(3038,plain,
% 4.41/4.59 ((~(mult(mult(a, c), mult(b, a)) = mult(a, mult(mult(b, a), c)))) | (~(mult(mult(a, mult(b, a)), c) = mult(a, mult(c, mult(b, a)))))),
% 4.41/4.59 inference(unit_resolution,[status(thm)],[3037, 614, 102, 2095, 118, 788, 342])).
% 4.41/4.59 tff(3039,plain,
% 4.41/4.59 (~((~(mult(mult(a, c), mult(b, a)) = mult(a, mult(c, mult(b, a))))) | (~(mult(mult(a, mult(b, a)), c) = mult(a, mult(mult(b, a), c)))))),
% 4.41/4.59 inference(unit_resolution,[status(thm)],[132, 3038])).
% 4.41/4.59 tff(3040,plain,
% 4.41/4.59 (mult(mult(a, mult(b, a)), c) = mult(a, mult(mult(b, a), c))),
% 4.41/4.59 inference(unit_resolution,[status(thm)],[1395, 3039])).
% 4.41/4.59 tff(3041,plain,
% 4.41/4.59 (mult(mult(mult(a, b), a), c) = mult(mult(a, mult(b, a)), c)),
% 4.41/4.59 inference(symmetry,[status(thm)],[1739])).
% 4.41/4.59 tff(3042,plain,
% 4.41/4.59 ((mult(mult(a, a), mult(c, b)) = mult(a, mult(a, mult(c, b)))) <=> (mult(a, mult(mult(c, b), a)) = mult(mult(a, mult(c, b)), a))),
% 4.41/4.59 inference(monotonicity,[status(thm)],[320, 109])).
% 4.41/4.59 tff(3043,plain,
% 4.41/4.59 ((mult(mult(a, a), mult(c, b)) = mult(a, mult(a, mult(c, b)))) <=> (mult(mult(a, mult(c, b)), a) = mult(a, mult(mult(c, b), a)))),
% 4.41/4.59 inference(transitivity,[status(thm)],[3042, 445])).
% 4.41/4.59 tff(3044,plain,
% 4.41/4.59 ((mult(mult(a, mult(c, b)), a) = mult(a, mult(mult(c, b), a))) <=> (mult(mult(a, a), mult(c, b)) = mult(a, mult(a, mult(c, b))))),
% 4.41/4.59 inference(symmetry,[status(thm)],[3043])).
% 4.41/4.59 tff(3045,plain,
% 4.41/4.59 ((~(mult(mult(a, mult(c, b)), a) = mult(a, mult(mult(c, b), a)))) <=> (~(mult(mult(a, a), mult(c, b)) = mult(a, mult(a, mult(c, b)))))),
% 4.41/4.59 inference(monotonicity,[status(thm)],[3044])).
% 4.41/4.59 tff(3046,plain,
% 4.41/4.59 (~(mult(mult(a, a), mult(c, b)) = mult(a, mult(a, mult(c, b))))),
% 4.41/4.59 inference(modus_ponens,[status(thm)],[78, 3045])).
% 4.41/4.59 tff(3047,plain,
% 4.41/4.59 (mult(a, mult(a, mult(c, b))) = mult(a, mult(mult(c, b), a))),
% 4.41/4.59 inference(transitivity,[status(thm)],[1573, 2195, 594, 988, 2198])).
% 4.41/4.59 tff(3048,plain,
% 4.41/4.59 ((mult(mult(a, a), mult(c, b)) = mult(a, mult(a, mult(c, b)))) <=> (mult(mult(a, a), mult(c, b)) = mult(a, mult(mult(c, b), a)))),
% 4.41/4.59 inference(monotonicity,[status(thm)],[3047])).
% 4.41/4.59 tff(3049,plain,
% 4.41/4.59 ((mult(mult(a, a), mult(c, b)) = mult(a, mult(mult(c, b), a))) <=> (mult(mult(a, a), mult(c, b)) = mult(a, mult(a, mult(c, b))))),
% 4.41/4.59 inference(symmetry,[status(thm)],[3048])).
% 4.41/4.59 tff(3050,plain,
% 4.41/4.59 (mult(mult(a, a), mult(c, b)) = mult(a, mult(a, mult(c, b)))),
% 4.41/4.59 inference(modus_ponens,[status(thm)],[1574, 3049])).
% 4.41/4.59 tff(3051,plain,
% 4.41/4.59 ($false),
% 4.41/4.59 inference(unit_resolution,[status(thm)],[1569, 3050])).
% 4.41/4.59 tff(3052,plain,((mult(mult(a, a), mult(c, b)) = mult(a, mult(a, mult(c, b)))) | (~(mult(mult(a, c), mult(a, b)) = mult(a, mult(c, mult(a, b))))) | (~(mult(mult(mult(a, c), b), a) = mult(mult(a, c), mult(a, b)))) | (~(mult(mult(c, b), a) = mult(c, mult(a, b)))) | (~(mult(mult(a, c), b) = mult(a, mult(c, b))))), inference(lemma,lemma(discharge,[]))).
% 4.41/4.59 tff(3053,plain,
% 4.41/4.59 (~(mult(mult(a, c), mult(a, b)) = mult(a, mult(c, mult(a, b))))),
% 4.41/4.59 inference(unit_resolution,[status(thm)],[3052, 3046, 2110, 971, 788])).
% 4.41/4.59 tff(3054,plain,
% 4.41/4.59 ((~(mult(mult(a, mult(a, b)), c) = mult(a, mult(mult(a, b), c)))) | (~(mult(mult(a, c), mult(a, b)) = mult(a, mult(c, mult(a, b)))))),
% 4.41/4.59 inference(unit_resolution,[status(thm)],[604, 3053])).
% 4.41/4.59 tff(3055,plain,
% 4.41/4.59 (~((~(mult(mult(a, mult(a, b)), c) = mult(a, mult(c, mult(a, b))))) | (~(mult(mult(a, c), mult(a, b)) = mult(a, mult(mult(a, b), c)))))),
% 4.41/4.59 inference(unit_resolution,[status(thm)],[292, 3054])).
% 4.41/4.59 tff(3056,plain,
% 4.41/4.59 (mult(mult(a, c), mult(a, b)) = mult(a, mult(mult(a, b), c))),
% 4.41/4.59 inference(unit_resolution,[status(thm)],[601, 3055])).
% 4.41/4.59 tff(3057,plain,
% 4.41/4.59 (mult(a, mult(mult(a, b), c)) = mult(mult(a, c), mult(a, b))),
% 4.41/4.59 inference(symmetry,[status(thm)],[3056])).
% 4.41/4.59 tff(3058,plain,
% 4.41/4.59 (mult(a, mult(mult(a, b), c)) = mult(mult(a, mult(c, b)), a)),
% 4.41/4.59 inference(transitivity,[status(thm)],[3057, 2160, 958])).
% 4.41/4.59 tff(3059,plain,
% 4.41/4.59 (mult(mult(a, a), mult(c, b)) = mult(a, mult(c, mult(a, b)))),
% 4.41/4.59 inference(transitivity,[status(thm)],[320, 2541])).
% 4.41/4.59 tff(3060,plain,
% 4.41/4.59 ((mult(mult(mult(a, a), b), c) = mult(mult(a, a), mult(c, b))) <=> (mult(mult(a, mult(a, b)), c) = mult(a, mult(c, mult(a, b))))),
% 4.41/4.59 inference(monotonicity,[status(thm)],[2169, 3059])).
% 4.41/4.59 tff(3061,plain,
% 4.41/4.59 (mult(mult(mult(a, a), b), c) = mult(mult(a, a), mult(c, b))),
% 4.41/4.59 inference(unit_resolution,[status(thm)],[1975, 2946, 2945])).
% 4.41/4.59 tff(3062,plain,
% 4.41/4.59 (mult(mult(a, mult(a, b)), c) = mult(a, mult(c, mult(a, b)))),
% 4.41/4.60 inference(modus_ponens,[status(thm)],[3061, 3060])).
% 4.41/4.60 tff(3063,plain,
% 4.41/4.60 (mult(mult(a, mult(a, b)), c) = mult(a, mult(mult(c, b), a))),
% 4.41/4.60 inference(transitivity,[status(thm)],[3062, 2542])).
% 4.41/4.60 tff(3064,plain,
% 4.41/4.60 ((mult(mult(a, mult(a, b)), c) = mult(a, mult(mult(a, b), c))) <=> (mult(a, mult(mult(c, b), a)) = mult(mult(a, mult(c, b)), a))),
% 4.41/4.60 inference(monotonicity,[status(thm)],[3063, 3058])).
% 4.41/4.60 tff(3065,plain,
% 4.41/4.60 ((mult(mult(a, mult(a, b)), c) = mult(a, mult(mult(a, b), c))) <=> (mult(mult(a, mult(c, b)), a) = mult(a, mult(mult(c, b), a)))),
% 4.41/4.60 inference(transitivity,[status(thm)],[3064, 445])).
% 4.41/4.60 tff(3066,plain,
% 4.41/4.60 ((mult(mult(a, mult(c, b)), a) = mult(a, mult(mult(c, b), a))) <=> (mult(mult(a, mult(a, b)), c) = mult(a, mult(mult(a, b), c)))),
% 4.41/4.60 inference(symmetry,[status(thm)],[3065])).
% 4.41/4.60 tff(3067,plain,
% 4.41/4.60 ((~(mult(mult(a, mult(c, b)), a) = mult(a, mult(mult(c, b), a)))) <=> (~(mult(mult(a, mult(a, b)), c) = mult(a, mult(mult(a, b), c))))),
% 4.41/4.60 inference(monotonicity,[status(thm)],[3066])).
% 4.41/4.60 tff(3068,plain,
% 4.41/4.60 (~(mult(mult(a, mult(a, b)), c) = mult(a, mult(mult(a, b), c)))),
% 4.41/4.60 inference(modus_ponens,[status(thm)],[78, 3067])).
% 4.41/4.60 tff(3069,plain,
% 4.41/4.60 (mult(mult(a, c), mult(b, a)) = mult(a, mult(c, mult(b, a)))),
% 4.41/4.60 inference(unit_resolution,[status(thm)],[120, 3039])).
% 4.41/4.60 tff(3070,plain,
% 4.41/4.60 (~(mult(mult(c, a), b) = mult(c, mult(a, b)))),
% 4.41/4.60 inference(unit_resolution,[status(thm)],[1996, 370, 106, 249, 269, 1994])).
% 4.41/4.60 tff(3071,plain,
% 4.41/4.60 (mult(mult(c, a), b) = mult(c, mult(b, a))),
% 4.41/4.60 inference(unit_resolution,[status(thm)],[303, 1594])).
% 4.41/4.60 tff(3072,plain,
% 4.41/4.60 (mult(c, mult(b, a)) = mult(mult(c, a), b)),
% 4.41/4.60 inference(symmetry,[status(thm)],[3071])).
% 4.41/4.60 tff(3073,plain,
% 4.41/4.60 (mult(c, mult(b, a)) = mult(mult(a, b), c)),
% 4.41/4.60 inference(transitivity,[status(thm)],[3072, 210, 381, 114])).
% 4.41/4.60 tff(3074,plain,
% 4.41/4.60 (mult(a, mult(c, mult(b, a))) = mult(a, mult(mult(a, b), c))),
% 4.41/4.60 inference(monotonicity,[status(thm)],[3073])).
% 4.41/4.60 tff(3075,plain,
% 4.41/4.60 (mult(mult(a, c), mult(b, a)) = mult(mult(a, c), mult(a, b))),
% 4.41/4.60 inference(transitivity,[status(thm)],[368, 3074, 948])).
% 4.41/4.60 tff(3076,plain,
% 4.41/4.60 (ld(mult(a, c), mult(mult(a, c), mult(b, a))) = ld(mult(a, c), mult(mult(a, c), mult(a, b)))),
% 4.41/4.60 inference(monotonicity,[status(thm)],[3075])).
% 4.41/4.60 tff(3077,plain,
% 4.41/4.60 (ld(mult(a, c), mult(mult(a, c), mult(a, b))) = ld(mult(a, c), mult(mult(a, c), mult(b, a)))),
% 4.41/4.60 inference(symmetry,[status(thm)],[3076])).
% 4.41/4.60 tff(3078,plain,
% 4.41/4.60 (mult(a, b) = mult(b, a)),
% 4.41/4.60 inference(transitivity,[status(thm)],[2369, 3077, 2364])).
% 4.41/4.60 tff(3079,plain,
% 4.41/4.60 (mult(c, mult(a, b)) = mult(c, mult(b, a))),
% 4.41/4.60 inference(monotonicity,[status(thm)],[3078])).
% 4.41/4.60 tff(3080,plain,
% 4.41/4.60 (mult(c, mult(b, a)) = mult(c, mult(a, b))),
% 4.41/4.60 inference(symmetry,[status(thm)],[3079])).
% 4.41/4.60 tff(3081,plain,
% 4.41/4.60 (mult(mult(c, a), b) = mult(c, mult(a, b))),
% 4.41/4.60 inference(transitivity,[status(thm)],[3071, 3080])).
% 4.41/4.60 tff(3082,plain,
% 4.41/4.60 ($false),
% 4.41/4.60 inference(unit_resolution,[status(thm)],[570, 3081])).
% 4.41/4.60 tff(3083,plain,((~(mult(mult(a, c), mult(b, a)) = mult(a, mult(c, mult(b, a))))) | (mult(mult(c, a), b) = mult(c, mult(a, b))) | (~(mult(mult(a, c), mult(a, b)) = mult(a, mult(mult(a, b), c)))) | (~(mult(mult(a, mult(c, b)), a) = mult(a, mult(a, mult(c, b))))) | (~(mult(mult(mult(a, b), c), a) = mult(mult(a, b), mult(c, a)))) | (~(mult(mult(a, b), c) = mult(a, mult(c, b))))), inference(lemma,lemma(discharge,[]))).
% 4.41/4.60 tff(3084,plain,
% 4.41/4.60 ($false),
% 4.41/4.60 inference(unit_resolution,[status(thm)],[3083, 3070, 370, 368, 249, 593, 106])).
% 4.41/4.60 tff(3085,plain,((~(mult(mult(mult(a, b), c), a) = mult(mult(a, b), mult(c, a)))) | (~(mult(mult(a, c), mult(b, a)) = mult(a, mult(c, mult(b, a))))) | (~(mult(mult(a, mult(c, b)), a) = mult(a, mult(a, mult(c, b))))) | (~(mult(mult(a, c), mult(a, b)) = mult(a, mult(mult(a, b), c)))) | (~(mult(mult(a, b), c) = mult(a, mult(c, b)))) | (~(mult(mult(a, mult(a, b)), c) = mult(a, mult(c, mult(a, b))))) | (mult(mult(a, mult(a, b)), c) = mult(a, mult(mult(a, b), c)))), inference(lemma,lemma(discharge,[]))).
% 4.41/4.60 tff(3086,plain,
% 4.41/4.60 (~(mult(mult(mult(a, b), c), a) = mult(mult(a, b), mult(c, a)))),
% 4.41/4.60 inference(unit_resolution,[status(thm)],[3085, 89, 3069, 3056, 2945, 3062, 3068])).
% 4.41/4.60 tff(3087,plain,
% 4.41/4.60 ((~(mult(mult(mult(a, b), a), c) = mult(mult(a, b), mult(a, c)))) | (~(mult(mult(mult(a, b), c), a) = mult(mult(a, b), mult(c, a))))),
% 4.41/4.60 inference(unit_resolution,[status(thm)],[185, 3086])).
% 4.41/4.60 tff(3088,plain,
% 4.41/4.60 (~((~(mult(mult(mult(a, b), a), c) = mult(mult(a, b), mult(c, a)))) | (~(mult(mult(mult(a, b), c), a) = mult(mult(a, b), mult(a, c)))))),
% 4.41/4.60 inference(unit_resolution,[status(thm)],[183, 3087])).
% 4.41/4.60 tff(3089,plain,
% 4.41/4.60 (mult(mult(mult(a, b), a), c) = mult(mult(a, b), mult(c, a))),
% 4.41/4.60 inference(unit_resolution,[status(thm)],[1690, 3088])).
% 4.41/4.60 tff(3090,plain,
% 4.41/4.60 (mult(mult(a, b), mult(c, a)) = mult(mult(mult(a, b), a), c)),
% 4.41/4.60 inference(symmetry,[status(thm)],[3089])).
% 4.41/4.60 tff(3091,plain,
% 4.41/4.60 (mult(a, mult(c, mult(b, a))) = mult(mult(a, c), mult(b, a))),
% 4.41/4.60 inference(symmetry,[status(thm)],[3069])).
% 4.41/4.60 tff(3092,plain,
% 4.41/4.60 (mult(a, mult(mult(c, a), b)) = mult(mult(a, c), mult(b, a))),
% 4.41/4.60 inference(transitivity,[status(thm)],[352, 3091])).
% 4.41/4.60 tff(3093,plain,
% 4.41/4.60 (mult(mult(a, b), mult(c, a)) = mult(a, mult(mult(b, a), c))),
% 4.41/4.60 inference(transitivity,[status(thm)],[3090, 3041, 3040])).
% 4.41/4.60 tff(3094,plain,
% 4.41/4.60 ((mult(mult(a, b), mult(c, a)) = mult(a, mult(mult(c, a), b))) <=> (mult(a, mult(mult(b, a), c)) = mult(mult(a, c), mult(b, a)))),
% 4.41/4.60 inference(monotonicity,[status(thm)],[3093, 3092])).
% 4.41/4.60 tff(3095,plain,
% 4.41/4.60 ((mult(mult(a, b), mult(c, a)) = mult(a, mult(mult(c, a), b))) <=> (mult(mult(a, c), mult(b, a)) = mult(a, mult(mult(b, a), c)))),
% 4.41/4.60 inference(transitivity,[status(thm)],[3094, 2762])).
% 4.41/4.60 tff(3096,plain,
% 4.41/4.60 ((mult(mult(a, c), mult(b, a)) = mult(a, mult(mult(b, a), c))) <=> (mult(mult(a, b), mult(c, a)) = mult(a, mult(mult(c, a), b)))),
% 4.41/4.60 inference(symmetry,[status(thm)],[3095])).
% 4.41/4.60 tff(3097,plain,
% 4.41/4.60 ((~(mult(mult(a, c), mult(b, a)) = mult(a, mult(mult(b, a), c)))) <=> (~(mult(mult(a, b), mult(c, a)) = mult(a, mult(mult(c, a), b))))),
% 4.41/4.60 inference(monotonicity,[status(thm)],[3096])).
% 4.41/4.60 tff(3098,plain,
% 4.41/4.60 (mult(mult(mult(a, b), c), a) = mult(mult(a, b), mult(a, c))),
% 4.41/4.60 inference(unit_resolution,[status(thm)],[178, 3088])).
% 4.41/4.60 tff(3099,plain,
% 4.41/4.60 (~(mult(mult(a, b), mult(a, c)) = mult(a, mult(b, mult(a, c))))),
% 4.41/4.60 inference(unit_resolution,[status(thm)],[974, 3098, 118, 2946, 2956, 614])).
% 4.41/4.60 tff(3100,plain,
% 4.41/4.60 ((~(mult(mult(a, b), mult(a, c)) = mult(a, mult(b, mult(a, c))))) | (~(mult(mult(a, mult(a, c)), b) = mult(a, mult(mult(a, c), b))))),
% 4.41/4.60 inference(unit_resolution,[status(thm)],[1806, 3099])).
% 4.41/4.60 tff(3101,plain,
% 4.41/4.60 (~((~(mult(mult(a, b), mult(a, c)) = mult(a, mult(mult(a, c), b)))) | (~(mult(mult(a, mult(a, c)), b) = mult(a, mult(b, mult(a, c))))))),
% 4.41/4.60 inference(unit_resolution,[status(thm)],[1811, 3100])).
% 4.41/4.60 tff(3102,plain,
% 4.41/4.60 (mult(mult(a, mult(a, c)), b) = mult(a, mult(b, mult(a, c)))),
% 4.41/4.60 inference(unit_resolution,[status(thm)],[2974, 3101])).
% 4.41/4.60 tff(3103,plain,
% 4.41/4.60 (mult(mult(a, b), mult(a, c)) = mult(a, mult(mult(a, c), b))),
% 4.41/4.60 inference(unit_resolution,[status(thm)],[1813, 3101])).
% 4.41/4.60 tff(3104,plain,
% 4.41/4.60 (~(mult(mult(a, mult(a, c)), a) = mult(a, mult(mult(a, c), a)))),
% 4.41/4.60 inference(unit_resolution,[status(thm)],[3019, 3102, 2110, 102, 2946, 971, 788, 2095, 87, 3098, 3103])).
% 4.41/4.60 tff(3105,plain,
% 4.41/4.60 (~(mult(mult(a, c), mult(b, a)) = mult(a, mult(mult(b, a), c)))),
% 4.41/4.60 inference(unit_resolution,[status(thm)],[1654, 3104, 118, 1526, 3102])).
% 4.41/4.60 tff(3106,plain,
% 4.41/4.60 (~(mult(mult(a, b), mult(c, a)) = mult(a, mult(mult(c, a), b)))),
% 4.41/4.60 inference(modus_ponens,[status(thm)],[3105, 3097])).
% 4.41/4.60 tff(3107,plain,
% 4.41/4.60 ((~(mult(mult(a, b), mult(c, a)) = mult(a, mult(mult(c, a), b)))) | (~(mult(mult(a, mult(c, a)), b) = mult(a, mult(b, mult(c, a)))))),
% 4.41/4.60 inference(unit_resolution,[status(thm)],[203, 3106])).
% 4.41/4.60 tff(3108,plain,
% 4.41/4.60 (~((~(mult(mult(a, b), mult(c, a)) = mult(a, mult(b, mult(c, a))))) | (~(mult(mult(a, mult(c, a)), b) = mult(a, mult(mult(c, a), b)))))),
% 4.41/4.60 inference(unit_resolution,[status(thm)],[201, 3107])).
% 4.41/4.60 tff(3109,plain,
% 4.41/4.60 (mult(mult(a, b), mult(c, a)) = mult(a, mult(b, mult(c, a)))),
% 4.41/4.60 inference(unit_resolution,[status(thm)],[196, 3108])).
% 4.41/4.60 tff(3110,plain,
% 4.41/4.60 (mult(a, mult(b, mult(c, a))) = mult(mult(a, b), mult(c, a))),
% 4.41/4.60 inference(symmetry,[status(thm)],[3109])).
% 4.41/4.60 tff(3111,plain,
% 4.41/4.60 (mult(a, mult(b, mult(c, a))) = mult(a, mult(mult(b, a), c))),
% 4.41/4.60 inference(transitivity,[status(thm)],[3110, 3090, 3041, 3040])).
% 4.41/4.60 tff(3112,plain,
% 4.41/4.60 (mult(mult(a, mult(c, a)), b) = mult(a, mult(mult(c, a), b))),
% 4.41/4.60 inference(unit_resolution,[status(thm)],[739, 3108])).
% 4.41/4.60 tff(3113,plain,
% 4.41/4.60 (mult(mult(a, mult(c, a)), b) = mult(mult(a, c), mult(b, a))),
% 4.41/4.60 inference(transitivity,[status(thm)],[3112, 352, 3091])).
% 4.41/4.60 tff(3114,plain,
% 4.41/4.60 ((mult(mult(a, mult(c, a)), b) = mult(a, mult(b, mult(c, a)))) <=> (mult(mult(a, c), mult(b, a)) = mult(a, mult(mult(b, a), c)))),
% 4.41/4.60 inference(monotonicity,[status(thm)],[3113, 3111])).
% 4.41/4.60 tff(3115,plain,
% 4.41/4.60 ((mult(mult(a, c), mult(b, a)) = mult(a, mult(mult(b, a), c))) <=> (mult(mult(a, mult(c, a)), b) = mult(a, mult(b, mult(c, a))))),
% 4.41/4.60 inference(symmetry,[status(thm)],[3114])).
% 4.41/4.60 tff(3116,plain,
% 4.41/4.60 ((~(mult(mult(a, c), mult(b, a)) = mult(a, mult(mult(b, a), c)))) <=> (~(mult(mult(a, mult(c, a)), b) = mult(a, mult(b, mult(c, a)))))),
% 4.41/4.60 inference(monotonicity,[status(thm)],[3115])).
% 4.41/4.60 tff(3117,plain,
% 4.41/4.60 (~(mult(mult(a, mult(c, a)), b) = mult(a, mult(b, mult(c, a))))),
% 4.41/4.60 inference(modus_ponens,[status(thm)],[3105, 3116])).
% 4.41/4.60 tff(3118,plain,
% 4.41/4.60 ($false),
% 4.41/4.60 inference(unit_resolution,[status(thm)],[2116, 3117])).
% 4.41/4.60 tff(3119,plain,((mult(mult(a, mult(c, b)), a) = mult(a, mult(mult(c, b), a))) | (~(mult(mult(c, a), b) = mult(c, mult(b, a)))) | (~(mult(mult(b, a), c) = mult(b, mult(a, c)))) | (~(mult(mult(b, c), a) = mult(b, mult(c, a)))) | (~(mult(mult(a, c), b) = mult(a, mult(c, b)))) | (mult(b, mult(c, a)) = mult(b, mult(a, c))) | (mult(mult(mult(a, c), b), a) = mult(mult(a, c), mult(b, a)))), inference(lemma,lemma(discharge,[]))).
% 4.41/4.60 tff(3120,plain,
% 4.41/4.60 (mult(mult(a, mult(c, b)), a) = mult(a, mult(mult(c, b), a))),
% 4.41/4.60 inference(unit_resolution,[status(thm)],[3119, 614, 118, 102, 788, 2095, 342])).
% 4.41/4.60 tff(3121,plain,
% 4.41/4.60 (~(mult(mult(mult(a, b), c), a) = mult(mult(a, b), mult(c, a)))),
% 4.41/4.60 inference(unit_resolution,[status(thm)],[1609, 3120, 2945, 614])).
% 4.41/4.60 tff(3122,plain,
% 4.41/4.60 ((~(mult(mult(mult(a, b), a), c) = mult(mult(a, b), mult(a, c)))) | (~(mult(mult(mult(a, b), c), a) = mult(mult(a, b), mult(c, a))))),
% 4.41/4.60 inference(unit_resolution,[status(thm)],[185, 3121])).
% 4.41/4.60 tff(3123,plain,
% 4.41/4.60 (~((~(mult(mult(mult(a, b), a), c) = mult(mult(a, b), mult(c, a)))) | (~(mult(mult(mult(a, b), c), a) = mult(mult(a, b), mult(a, c)))))),
% 4.41/4.60 inference(unit_resolution,[status(thm)],[183, 3122])).
% 4.41/4.60 tff(3124,plain,
% 4.41/4.60 (mult(mult(mult(a, b), c), a) = mult(mult(a, b), mult(a, c))),
% 4.41/4.60 inference(unit_resolution,[status(thm)],[178, 3123])).
% 4.41/4.60 tff(3125,plain,
% 4.41/4.60 (mult(mult(a, b), mult(a, c)) = mult(mult(mult(a, b), c), a)),
% 4.41/4.60 inference(symmetry,[status(thm)],[3124])).
% 4.41/4.60 tff(3126,plain,
% 4.41/4.60 (~(mult(mult(a, b), mult(a, c)) = mult(a, mult(b, mult(a, c))))),
% 4.41/4.60 inference(unit_resolution,[status(thm)],[974, 3124, 118, 2946, 2956, 614])).
% 4.41/4.60 tff(3127,plain,
% 4.41/4.60 ((~(mult(mult(a, b), mult(a, c)) = mult(a, mult(b, mult(a, c))))) | (~(mult(mult(a, mult(a, c)), b) = mult(a, mult(mult(a, c), b))))),
% 4.41/4.60 inference(unit_resolution,[status(thm)],[1806, 3126])).
% 4.41/4.60 tff(3128,plain,
% 4.41/4.60 (~((~(mult(mult(a, b), mult(a, c)) = mult(a, mult(mult(a, c), b)))) | (~(mult(mult(a, mult(a, c)), b) = mult(a, mult(b, mult(a, c))))))),
% 4.41/4.60 inference(unit_resolution,[status(thm)],[1811, 3127])).
% 4.41/4.60 tff(3129,plain,
% 4.41/4.60 (mult(mult(a, b), mult(a, c)) = mult(a, mult(mult(a, c), b))),
% 4.41/4.60 inference(unit_resolution,[status(thm)],[1813, 3128])).
% 4.41/4.60 tff(3130,plain,
% 4.41/4.60 (mult(a, mult(mult(a, c), b)) = mult(mult(a, b), mult(a, c))),
% 4.41/4.60 inference(symmetry,[status(thm)],[3129])).
% 4.41/4.60 tff(3131,plain,
% 4.41/4.60 (mult(mult(a, a), mult(c, b)) = mult(a, mult(a, mult(c, b)))),
% 4.41/4.60 inference(unit_resolution,[status(thm)],[1580, 3120])).
% 4.41/4.60 tff(3132,plain,
% 4.41/4.60 (mult(a, mult(a, mult(b, c))) = mult(mult(a, mult(b, c)), a)),
% 4.41/4.60 inference(symmetry,[status(thm)],[2956])).
% 4.41/4.60 tff(3133,plain,
% 4.41/4.60 (mult(a, mult(b, c)) = mult(mult(a, b), c)),
% 4.41/4.60 inference(symmetry,[status(thm)],[2946])).
% 4.41/4.60 tff(3134,plain,
% 4.41/4.60 (mult(a, mult(a, mult(b, c))) = mult(a, mult(mult(a, b), c))),
% 4.41/4.60 inference(monotonicity,[status(thm)],[3133])).
% 4.41/4.60 tff(3135,plain,
% 4.41/4.60 (mult(a, mult(mult(a, b), c)) = mult(a, mult(a, mult(b, c)))),
% 4.41/4.60 inference(symmetry,[status(thm)],[3134])).
% 4.41/4.60 tff(3136,plain,
% 4.41/4.60 (mult(a, mult(mult(a, b), c)) = mult(a, mult(a, mult(c, b)))),
% 4.41/4.60 inference(transitivity,[status(thm)],[3135, 3132, 2948, 3124, 3129, 1804])).
% 4.41/4.60 tff(3137,plain,
% 4.41/4.60 (ld(a, mult(a, mult(mult(a, b), c))) = ld(a, mult(a, mult(a, mult(c, b))))),
% 4.41/4.60 inference(monotonicity,[status(thm)],[3136])).
% 4.41/4.60 tff(3138,plain,
% 4.41/4.60 (ld(a, mult(a, mult(a, mult(c, b)))) = ld(a, mult(a, mult(mult(a, b), c)))),
% 4.41/4.60 inference(symmetry,[status(thm)],[3137])).
% 4.41/4.60 tff(3139,plain,
% 4.41/4.60 (mult(a, mult(c, b)) = mult(a, mult(b, c))),
% 4.41/4.60 inference(transitivity,[status(thm)],[803, 3138, 114, 2946])).
% 4.41/4.60 tff(3140,plain,
% 4.41/4.60 (ld(a, mult(a, mult(c, b))) = ld(a, mult(a, mult(b, c)))),
% 4.41/4.60 inference(monotonicity,[status(thm)],[3139])).
% 4.41/4.60 tff(3141,plain,
% 4.41/4.60 (ld(a, mult(a, mult(b, c))) = ld(a, mult(a, mult(c, b)))),
% 4.41/4.60 inference(symmetry,[status(thm)],[3140])).
% 4.41/4.60 tff(3142,plain,
% 4.41/4.60 (mult(b, c) = ld(a, mult(a, mult(b, c)))),
% 4.41/4.60 inference(symmetry,[status(thm)],[39])).
% 4.41/4.60 tff(3143,plain,
% 4.41/4.60 (mult(b, c) = mult(c, b)),
% 4.41/4.60 inference(transitivity,[status(thm)],[3142, 3141, 807])).
% 4.41/4.60 tff(3144,plain,
% 4.41/4.60 (mult(mult(a, a), mult(b, c)) = mult(mult(a, a), mult(c, b))),
% 4.41/4.60 inference(monotonicity,[status(thm)],[3143])).
% 4.41/4.60 tff(3145,plain,
% 4.41/4.60 (mult(mult(a, a), mult(b, c)) = mult(a, mult(a, mult(b, c)))),
% 4.41/4.60 inference(transitivity,[status(thm)],[3144, 3131, 798, 3130, 3125, 2947, 2956])).
% 4.41/4.60 tff(3146,plain,
% 4.41/4.60 (~(mult(mult(a, a), mult(b, c)) = mult(a, mult(a, mult(b, c))))),
% 4.41/4.60 inference(unit_resolution,[status(thm)],[1847, 2953])).
% 4.41/4.60 tff(3147,plain,
% 4.41/4.60 ($false),
% 4.41/4.60 inference(unit_resolution,[status(thm)],[3146, 3145])).
% 4.41/4.60 tff(3148,plain,((mult(mult(mult(a, c), b), a) = mult(mult(a, c), mult(b, a))) | (~(mult(mult(a, c), b) = mult(a, mult(c, b)))) | (~(mult(mult(b, a), c) = mult(b, mult(a, c)))) | (~(mult(mult(b, c), a) = mult(b, mult(c, a)))) | (mult(b, mult(c, a)) = mult(b, mult(a, c))) | (~(mult(mult(c, a), b) = mult(c, mult(b, a))))), inference(lemma,lemma(discharge,[]))).
% 4.41/4.60 tff(3149,plain,
% 4.41/4.60 (mult(mult(mult(a, c), b), a) = mult(mult(a, c), mult(b, a))),
% 4.41/4.60 inference(unit_resolution,[status(thm)],[3148, 2941, 99, 37, 731, 2082])).
% 4.41/4.60 tff(3150,plain,
% 4.41/4.60 (mult(mult(a, c), mult(b, a)) = mult(mult(mult(a, c), b), a)),
% 4.41/4.60 inference(symmetry,[status(thm)],[3149])).
% 4.41/4.60 tff(3151,plain,
% 4.41/4.60 (mult(mult(a, c), mult(b, a)) = mult(a, mult(mult(a, c), b))),
% 4.41/4.60 inference(transitivity,[status(thm)],[3150, 2944, 89, 2943])).
% 4.41/4.60 tff(3152,plain,
% 4.41/4.60 (mult(mult(a, b), c) = mult(a, mult(b, c))),
% 4.41/4.60 inference(unit_resolution,[status(thm)],[1930, 2941, 2593])).
% 4.41/4.60 tff(3153,plain,
% 4.41/4.60 (~(mult(c, a) = mult(a, c))),
% 4.41/4.60 inference(unit_resolution,[status(thm)],[2459, 731])).
% 4.41/4.60 tff(3154,plain,
% 4.41/4.60 (~(mult(mult(a, c), mult(b, a)) = mult(a, mult(c, mult(b, a))))),
% 4.41/4.60 inference(unit_resolution,[status(thm)],[2468, 89, 2941, 3153, 3149, 2082])).
% 4.41/4.60 tff(3155,plain,
% 4.41/4.60 ((~(mult(mult(a, c), mult(b, a)) = mult(a, mult(c, mult(b, a))))) | (~(mult(mult(a, mult(b, a)), c) = mult(a, mult(mult(b, a), c))))),
% 4.41/4.60 inference(unit_resolution,[status(thm)],[120, 3154])).
% 4.41/4.60 tff(3156,plain,
% 4.41/4.60 (~((~(mult(mult(a, c), mult(b, a)) = mult(a, mult(mult(b, a), c)))) | (~(mult(mult(a, mult(b, a)), c) = mult(a, mult(c, mult(b, a))))))),
% 4.41/4.60 inference(unit_resolution,[status(thm)],[132, 3155])).
% 4.41/4.60 tff(3157,plain,
% 4.41/4.60 (mult(mult(a, c), mult(b, a)) = mult(a, mult(mult(b, a), c))),
% 4.41/4.60 inference(unit_resolution,[status(thm)],[134, 3156])).
% 4.41/4.60 tff(3158,plain,
% 4.41/4.60 (mult(mult(a, b), mult(a, c)) = mult(a, mult(b, mult(a, c)))),
% 4.41/4.60 inference(unit_resolution,[status(thm)],[2067, 3157, 3149, 89, 2941, 99])).
% 4.41/4.60 tff(3159,plain,
% 4.41/4.60 (mult(a, mult(b, c)) = mult(mult(a, b), c)),
% 4.41/4.60 inference(symmetry,[status(thm)],[3152])).
% 4.41/4.60 tff(3160,plain,
% 4.41/4.60 (mult(mult(a, mult(b, c)), a) = mult(mult(mult(a, b), c), a)),
% 4.41/4.60 inference(monotonicity,[status(thm)],[3159])).
% 4.41/4.60 tff(3161,plain,
% 4.41/4.60 ((mult(mult(a, mult(b, c)), a) = mult(a, mult(mult(b, c), a))) <=> (mult(mult(mult(a, b), c), a) = mult(a, mult(b, mult(c, a))))),
% 4.41/4.60 inference(monotonicity,[status(thm)],[3160, 509])).
% 4.41/4.60 tff(3162,plain,
% 4.41/4.60 ((mult(mult(a, mult(b, c)), a) = mult(a, mult(mult(b, c), a))) <=> (mult(a, mult(b, mult(c, a))) = mult(mult(mult(a, b), c), a))),
% 4.41/4.60 inference(transitivity,[status(thm)],[3161, 15])).
% 4.41/4.60 tff(3163,plain,
% 4.41/4.60 ((mult(a, mult(b, mult(c, a))) = mult(mult(mult(a, b), c), a)) <=> (mult(mult(a, mult(b, c)), a) = mult(a, mult(mult(b, c), a)))),
% 4.41/4.60 inference(symmetry,[status(thm)],[3162])).
% 4.41/4.60 tff(3164,plain,
% 4.41/4.60 ((~(mult(a, mult(b, mult(c, a))) = mult(mult(mult(a, b), c), a))) <=> (~(mult(mult(a, mult(b, c)), a) = mult(a, mult(mult(b, c), a))))),
% 4.41/4.60 inference(monotonicity,[status(thm)],[3163])).
% 4.41/4.60 tff(3165,plain,
% 4.41/4.60 (~(mult(mult(a, mult(b, c)), a) = mult(a, mult(mult(b, c), a)))),
% 4.41/4.60 inference(modus_ponens,[status(thm)],[194, 3164])).
% 4.41/4.60 tff(3166,plain,
% 4.41/4.60 ((~(mult(mult(a, mult(b, c)), a) = mult(a, mult(mult(b, c), a)))) | (~(mult(mult(a, a), mult(b, c)) = mult(a, mult(a, mult(b, c)))))),
% 4.41/4.60 inference(unit_resolution,[status(thm)],[660, 3165])).
% 4.41/4.60 tff(3167,plain,
% 4.41/4.60 (~((~(mult(mult(a, mult(b, c)), a) = mult(a, mult(a, mult(b, c))))) | (~(mult(mult(a, a), mult(b, c)) = mult(a, mult(mult(b, c), a)))))),
% 4.41/4.60 inference(unit_resolution,[status(thm)],[658, 3166])).
% 4.41/4.60 tff(3168,plain,
% 4.41/4.60 (mult(mult(a, mult(b, c)), a) = mult(a, mult(a, mult(b, c)))),
% 4.41/4.60 inference(unit_resolution,[status(thm)],[786, 3167])).
% 4.41/4.60 tff(3169,plain,
% 4.41/4.60 (mult(mult(a, a), mult(b, c)) = mult(a, mult(mult(b, c), a))),
% 4.41/4.60 inference(unit_resolution,[status(thm)],[653, 3167])).
% 4.41/4.60 tff(3170,plain,
% 4.41/4.60 ((mult(mult(a, c), b) = mult(a, mult(b, c))) <=> (mult(a, mult(c, b)) = mult(mult(a, b), c))),
% 4.41/4.60 inference(monotonicity,[status(thm)],[2941, 3159])).
% 4.41/4.60 tff(3171,plain,
% 4.41/4.60 ((mult(mult(a, c), b) = mult(a, mult(b, c))) <=> (mult(mult(a, b), c) = mult(a, mult(c, b)))),
% 4.41/4.60 inference(transitivity,[status(thm)],[3170, 2189])).
% 4.41/4.60 tff(3172,plain,
% 4.41/4.60 ((mult(mult(a, b), c) = mult(a, mult(c, b))) <=> (mult(mult(a, c), b) = mult(a, mult(b, c)))),
% 4.41/4.60 inference(symmetry,[status(thm)],[3171])).
% 4.41/4.60 tff(3173,plain,
% 4.41/4.60 (mult(mult(a, c), b) = mult(a, mult(b, c))),
% 4.41/4.60 inference(modus_ponens,[status(thm)],[2593, 3172])).
% 4.41/4.60 tff(3174,plain,
% 4.41/4.60 (mult(mult(a, b), mult(a, c)) = mult(a, mult(mult(a, c), b))),
% 4.41/4.60 inference(unit_resolution,[status(thm)],[365, 3149, 99, 2082, 3173, 3168, 14])).
% 4.41/4.60 tff(3175,plain,
% 4.41/4.60 (mult(mult(a, mult(b, a)), c) = mult(a, mult(c, mult(b, a)))),
% 4.41/4.60 inference(unit_resolution,[status(thm)],[217, 3156])).
% 4.41/4.60 tff(3176,plain,
% 4.41/4.60 (mult(a, mult(mult(a, c), b)) = mult(mult(a, mult(c, b)), a)),
% 4.41/4.60 inference(transitivity,[status(thm)],[913, 109])).
% 4.41/4.60 tff(3177,plain,
% 4.41/4.60 (~(mult(mult(a, b), a) = mult(a, mult(b, a)))),
% 4.41/4.60 inference(unit_resolution,[status(thm)],[2153, 248, 342, 2009])).
% 4.41/4.60 tff(3178,plain,
% 4.41/4.60 ((~(mult(mult(a, a), b) = mult(a, mult(a, b)))) | (~(mult(mult(a, b), a) = mult(a, mult(b, a))))),
% 4.41/4.60 inference(unit_resolution,[status(thm)],[232, 3177])).
% 4.41/4.60 tff(3179,plain,
% 4.41/4.60 (~((~(mult(mult(a, a), b) = mult(a, mult(b, a)))) | (~(mult(mult(a, b), a) = mult(a, mult(a, b)))))),
% 4.41/4.60 inference(unit_resolution,[status(thm)],[244, 3178])).
% 4.41/4.60 tff(3180,plain,
% 4.41/4.60 (mult(mult(a, b), a) = mult(a, mult(a, b))),
% 4.41/4.60 inference(unit_resolution,[status(thm)],[246, 3179])).
% 4.41/4.60 tff(3181,plain,
% 4.41/4.60 (~(mult(mult(a, mult(a, b)), c) = mult(a, mult(mult(a, b), c)))),
% 4.41/4.60 inference(unit_resolution,[status(thm)],[264, 3180, 106, 89, 248])).
% 4.41/4.60 tff(3182,plain,
% 4.41/4.60 ((~(mult(mult(a, mult(a, b)), c) = mult(a, mult(mult(a, b), c)))) | (~(mult(mult(a, c), mult(a, b)) = mult(a, mult(c, mult(a, b)))))),
% 4.41/4.60 inference(unit_resolution,[status(thm)],[266, 3181])).
% 4.41/4.60 tff(3183,plain,
% 4.41/4.60 (~((~(mult(mult(a, mult(a, b)), c) = mult(a, mult(c, mult(a, b))))) | (~(mult(mult(a, c), mult(a, b)) = mult(a, mult(mult(a, b), c)))))),
% 4.41/4.60 inference(unit_resolution,[status(thm)],[292, 3182])).
% 4.41/4.60 tff(3184,plain,
% 4.41/4.60 (mult(mult(a, mult(a, b)), c) = mult(a, mult(c, mult(a, b)))),
% 4.41/4.61 inference(unit_resolution,[status(thm)],[287, 3183])).
% 4.41/4.61 tff(3185,plain,
% 4.41/4.61 (mult(mult(mult(a, b), a), c) = mult(mult(a, mult(a, b)), c)),
% 4.41/4.61 inference(monotonicity,[status(thm)],[3180])).
% 4.41/4.61 tff(3186,plain,
% 4.41/4.61 (mult(mult(a, b), mult(a, c)) = mult(mult(mult(a, b), a), c)),
% 4.41/4.61 inference(symmetry,[status(thm)],[253])).
% 4.41/4.61 tff(3187,plain,
% 4.41/4.61 (mult(mult(a, b), mult(a, c)) = mult(a, mult(mult(c, b), a))),
% 4.41/4.61 inference(transitivity,[status(thm)],[3186, 3185, 3184, 2542])).
% 4.41/4.61 tff(3188,plain,
% 4.41/4.61 ((mult(mult(a, b), mult(a, c)) = mult(a, mult(mult(a, c), b))) <=> (mult(a, mult(mult(c, b), a)) = mult(mult(a, mult(c, b)), a))),
% 4.41/4.61 inference(monotonicity,[status(thm)],[3187, 3176])).
% 4.41/4.61 tff(3189,plain,
% 4.41/4.61 ((mult(mult(a, b), mult(a, c)) = mult(a, mult(mult(a, c), b))) <=> (mult(mult(a, mult(c, b)), a) = mult(a, mult(mult(c, b), a)))),
% 4.41/4.61 inference(transitivity,[status(thm)],[3188, 445])).
% 4.41/4.61 tff(3190,plain,
% 4.41/4.61 ((mult(mult(a, mult(c, b)), a) = mult(a, mult(mult(c, b), a))) <=> (mult(mult(a, b), mult(a, c)) = mult(a, mult(mult(a, c), b)))),
% 4.41/4.61 inference(symmetry,[status(thm)],[3189])).
% 4.41/4.61 tff(3191,plain,
% 4.41/4.61 ((~(mult(mult(a, mult(c, b)), a) = mult(a, mult(mult(c, b), a)))) <=> (~(mult(mult(a, b), mult(a, c)) = mult(a, mult(mult(a, c), b))))),
% 4.41/4.61 inference(monotonicity,[status(thm)],[3190])).
% 4.41/4.61 tff(3192,plain,
% 4.41/4.61 (~(mult(mult(a, b), mult(a, c)) = mult(a, mult(mult(a, c), b)))),
% 4.41/4.61 inference(modus_ponens,[status(thm)],[78, 3191])).
% 4.41/4.61 tff(3193,plain,
% 4.41/4.61 ($false),
% 4.41/4.61 inference(unit_resolution,[status(thm)],[167, 3192])).
% 4.41/4.61 tff(3194,plain,((mult(mult(mult(a, b), c), a) = mult(mult(a, b), mult(a, c))) | (~(mult(mult(a, b), mult(a, c)) = mult(a, mult(mult(a, c), b)))) | (mult(mult(a, mult(c, b)), a) = mult(a, mult(mult(c, b), a))) | (~(mult(mult(a, c), b) = mult(a, mult(c, b)))) | (~(mult(mult(a, b), c) = mult(a, mult(c, b)))) | (~(mult(mult(c, a), b) = mult(c, mult(b, a)))) | (~(mult(mult(a, mult(b, a)), c) = mult(a, mult(c, mult(b, a)))))), inference(lemma,lemma(discharge,[]))).
% 4.41/4.61 tff(3195,plain,
% 4.41/4.61 (mult(mult(mult(a, b), c), a) = mult(mult(a, b), mult(a, c))),
% 4.41/4.61 inference(unit_resolution,[status(thm)],[3194, 78, 3174, 2941, 2593, 2082, 3175])).
% 4.41/4.61 tff(3196,plain,
% 4.41/4.61 (mult(mult(mult(a, b), c), a) = mult(mult(a, mult(c, b)), a)),
% 4.41/4.61 inference(transitivity,[status(thm)],[3195, 3174, 2942, 109])).
% 4.41/4.61 tff(3197,plain,
% 4.41/4.61 (rd(mult(mult(mult(a, b), c), a), a) = rd(mult(mult(a, mult(c, b)), a), a)),
% 4.41/4.61 inference(monotonicity,[status(thm)],[3196])).
% 4.41/4.61 tff(3198,plain,
% 4.41/4.61 (rd(mult(mult(a, mult(c, b)), a), a) = rd(mult(mult(mult(a, b), c), a), a)),
% 4.41/4.61 inference(symmetry,[status(thm)],[3197])).
% 4.41/4.61 tff(3199,plain,
% 4.41/4.61 (mult(a, mult(c, b)) = mult(a, mult(b, c))),
% 4.41/4.61 inference(transitivity,[status(thm)],[2999, 3198, 172, 3152])).
% 4.41/4.61 tff(3200,plain,
% 4.41/4.61 (ld(a, mult(a, mult(c, b))) = ld(a, mult(a, mult(b, c)))),
% 4.41/4.61 inference(monotonicity,[status(thm)],[3199])).
% 4.41/4.61 tff(3201,plain,
% 4.41/4.61 (ld(a, mult(a, mult(b, c))) = ld(a, mult(a, mult(c, b)))),
% 4.41/4.61 inference(symmetry,[status(thm)],[3200])).
% 4.41/4.61 tff(3202,plain,
% 4.41/4.61 (mult(b, c) = mult(c, b)),
% 4.41/4.61 inference(transitivity,[status(thm)],[3142, 3201, 807])).
% 4.41/4.61 tff(3203,plain,
% 4.41/4.61 (mult(mult(a, a), mult(b, c)) = mult(mult(a, a), mult(c, b))),
% 4.41/4.61 inference(monotonicity,[status(thm)],[3202])).
% 4.41/4.61 tff(3204,plain,
% 4.41/4.61 (mult(mult(a, a), mult(c, b)) = mult(mult(a, a), mult(b, c))),
% 4.41/4.61 inference(symmetry,[status(thm)],[3203])).
% 4.41/4.61 tff(3205,plain,
% 4.41/4.61 (mult(a, mult(mult(c, b), a)) = mult(mult(a, a), mult(c, b))),
% 4.41/4.61 inference(symmetry,[status(thm)],[320])).
% 4.41/4.61 tff(3206,plain,
% 4.41/4.61 (mult(a, mult(mult(b, a), c)) = mult(mult(a, c), mult(b, a))),
% 4.41/4.61 inference(symmetry,[status(thm)],[3157])).
% 4.41/4.61 tff(3207,plain,
% 4.41/4.61 (mult(a, mult(b, mult(a, c))) = mult(a, mult(a, mult(c, b)))),
% 4.41/4.61 inference(transitivity,[status(thm)],[514, 3206, 3150, 2944, 89])).
% 4.41/4.61 tff(3208,plain,
% 4.41/4.61 (ld(a, mult(a, mult(b, mult(a, c)))) = ld(a, mult(a, mult(a, mult(c, b))))),
% 4.41/4.61 inference(monotonicity,[status(thm)],[3207])).
% 4.41/4.61 tff(3209,plain,
% 4.41/4.61 (ld(a, mult(a, mult(a, mult(c, b)))) = ld(a, mult(a, mult(b, mult(a, c))))),
% 4.41/4.61 inference(symmetry,[status(thm)],[3208])).
% 4.41/4.61 tff(3210,plain,
% 4.41/4.61 (mult(mult(a, b), c) = mult(mult(b, a), c)),
% 4.41/4.61 inference(transitivity,[status(thm)],[173, 3197, 2295, 803, 3209, 409, 513])).
% 4.41/4.61 tff(3211,plain,
% 4.41/4.61 (rd(mult(mult(a, b), c), c) = rd(mult(mult(b, a), c), c)),
% 4.41/4.61 inference(monotonicity,[status(thm)],[3210])).
% 4.41/4.61 tff(3212,plain,
% 4.41/4.61 (mult(a, b) = mult(b, a)),
% 4.41/4.61 inference(transitivity,[status(thm)],[985, 3211, 414])).
% 4.41/4.61 tff(3213,plain,
% 4.41/4.61 (mult(c, mult(a, b)) = mult(c, mult(b, a))),
% 4.41/4.61 inference(monotonicity,[status(thm)],[3212])).
% 4.41/4.61 tff(3214,plain,
% 4.41/4.61 (mult(c, mult(b, a)) = mult(c, mult(a, b))),
% 4.41/4.61 inference(symmetry,[status(thm)],[3213])).
% 4.41/4.61 tff(3215,plain,
% 4.41/4.61 (mult(mult(c, a), b) = mult(c, mult(a, b))),
% 4.41/4.61 inference(transitivity,[status(thm)],[2082, 3214])).
% 4.41/4.61 tff(3216,plain,
% 4.41/4.61 (mult(a, mult(mult(c, a), b)) = mult(a, mult(c, mult(a, b)))),
% 4.41/4.61 inference(monotonicity,[status(thm)],[3215])).
% 4.41/4.61 tff(3217,plain,
% 4.41/4.61 (mult(c, mult(b, a)) = mult(mult(c, a), b)),
% 4.41/4.61 inference(symmetry,[status(thm)],[2082])).
% 4.41/4.61 tff(3218,plain,
% 4.41/4.61 (mult(a, mult(c, mult(b, a))) = mult(a, mult(mult(c, a), b))),
% 4.41/4.61 inference(monotonicity,[status(thm)],[3217])).
% 4.41/4.61 tff(3219,plain,
% 4.41/4.61 (mult(a, mult(a, b)) = mult(a, mult(b, a))),
% 4.41/4.61 inference(monotonicity,[status(thm)],[3212])).
% 4.41/4.61 tff(3220,plain,
% 4.41/4.61 (mult(mult(mult(a, a), b), c) = mult(mult(a, a), mult(c, b))),
% 4.41/4.61 inference(unit_resolution,[status(thm)],[1975, 3152, 2593])).
% 4.41/4.61 tff(3221,plain,
% 4.41/4.61 (mult(mult(a, c), mult(a, b)) = mult(mult(a, c), mult(b, a))),
% 4.41/4.61 inference(transitivity,[status(thm)],[593, 791, 166, 778, 168, 167, 913, 369, 2244, 93])).
% 4.41/4.61 tff(3222,plain,
% 4.41/4.61 (ld(mult(a, c), mult(mult(a, c), mult(a, b))) = ld(mult(a, c), mult(mult(a, c), mult(b, a)))),
% 4.41/4.61 inference(monotonicity,[status(thm)],[3221])).
% 4.41/4.61 tff(3223,plain,
% 4.41/4.61 (mult(a, b) = mult(b, a)),
% 4.41/4.61 inference(transitivity,[status(thm)],[2369, 3222, 2364])).
% 4.41/4.61 tff(3224,plain,
% 4.41/4.61 (mult(a, mult(a, b)) = mult(a, mult(b, a))),
% 4.41/4.61 inference(monotonicity,[status(thm)],[3223])).
% 4.41/4.61 tff(3225,plain,
% 4.41/4.61 (mult(mult(a, a), b) = mult(a, mult(b, a))),
% 4.41/4.61 inference(transitivity,[status(thm)],[448, 3224])).
% 4.41/4.61 tff(3226,plain,
% 4.41/4.61 ($false),
% 4.41/4.61 inference(unit_resolution,[status(thm)],[2373, 3225])).
% 4.41/4.61 tff(3227,plain,((~(mult(mult(a, c), mult(a, b)) = mult(a, mult(mult(a, b), c)))) | (mult(mult(a, a), b) = mult(a, mult(b, a))) | (~(mult(mult(a, a), b) = mult(a, mult(a, b)))) | (~(mult(mult(a, mult(b, c)), a) = mult(a, mult(a, mult(b, c))))) | (~(mult(mult(mult(a, b), c), a) = mult(mult(a, b), mult(a, c)))) | (~(mult(mult(a, b), mult(a, c)) = mult(a, mult(mult(a, c), b)))) | (~(mult(mult(a, mult(c, b)), a) = mult(a, mult(a, mult(c, b))))) | (~(mult(mult(mult(a, c), b), a) = mult(mult(a, c), mult(b, a)))) | (~(mult(mult(a, c), b) = mult(a, mult(c, b)))) | (~(mult(mult(a, b), c) = mult(a, mult(b, c))))), inference(lemma,lemma(discharge,[]))).
% 4.41/4.61 tff(3228,plain,
% 4.41/4.61 (~(mult(mult(a, c), mult(a, b)) = mult(a, mult(mult(a, b), c)))),
% 4.41/4.61 inference(unit_resolution,[status(thm)],[3227, 2362, 1977, 116, 168, 167, 89, 93, 788, 59])).
% 4.41/4.61 tff(3229,plain,
% 4.41/4.61 ((~(mult(mult(a, mult(a, b)), c) = mult(a, mult(c, mult(a, b))))) | (~(mult(mult(a, c), mult(a, b)) = mult(a, mult(mult(a, b), c))))),
% 4.41/4.61 inference(unit_resolution,[status(thm)],[601, 3228])).
% 4.41/4.61 tff(3230,plain,
% 4.41/4.61 (~((~(mult(mult(a, mult(a, b)), c) = mult(a, mult(mult(a, b), c)))) | (~(mult(mult(a, c), mult(a, b)) = mult(a, mult(c, mult(a, b))))))),
% 4.41/4.61 inference(unit_resolution,[status(thm)],[292, 3229])).
% 4.41/4.61 tff(3231,plain,
% 4.41/4.61 (mult(mult(a, mult(a, b)), c) = mult(a, mult(mult(a, b), c))),
% 4.41/4.61 inference(unit_resolution,[status(thm)],[266, 3230])).
% 4.41/4.61 tff(3232,plain,
% 4.41/4.61 (mult(mult(mult(a, a), b), c) = mult(mult(a, mult(a, b)), c)),
% 4.41/4.61 inference(monotonicity,[status(thm)],[1977])).
% 4.41/4.61 tff(3233,plain,
% 4.41/4.61 (mult(mult(mult(a, a), b), c) = mult(mult(a, mult(c, b)), a)),
% 4.41/4.61 inference(transitivity,[status(thm)],[3232, 3231, 791, 166, 778, 168, 167, 913, 109])).
% 4.41/4.61 tff(3234,plain,
% 4.41/4.61 ((mult(mult(mult(a, a), b), c) = mult(mult(a, a), mult(c, b))) <=> (mult(mult(a, mult(c, b)), a) = mult(a, mult(mult(c, b), a)))),
% 4.41/4.61 inference(monotonicity,[status(thm)],[3233, 320])).
% 4.41/4.61 tff(3235,plain,
% 4.41/4.61 ((mult(mult(a, mult(c, b)), a) = mult(a, mult(mult(c, b), a))) <=> (mult(mult(mult(a, a), b), c) = mult(mult(a, a), mult(c, b)))),
% 4.41/4.61 inference(symmetry,[status(thm)],[3234])).
% 4.41/4.61 tff(3236,plain,
% 4.41/4.61 ((~(mult(mult(a, mult(c, b)), a) = mult(a, mult(mult(c, b), a)))) <=> (~(mult(mult(mult(a, a), b), c) = mult(mult(a, a), mult(c, b))))),
% 4.41/4.61 inference(monotonicity,[status(thm)],[3235])).
% 4.41/4.61 tff(3237,plain,
% 4.41/4.61 (~(mult(mult(mult(a, a), b), c) = mult(mult(a, a), mult(c, b)))),
% 4.41/4.61 inference(modus_ponens,[status(thm)],[78, 3236])).
% 4.41/4.61 tff(3238,plain,
% 4.41/4.61 ($false),
% 4.41/4.61 inference(unit_resolution,[status(thm)],[447, 3237])).
% 4.41/4.61 tff(3239,plain,((mult(mult(a, b), a) = mult(a, mult(a, b))) | (~(mult(mult(mult(a, a), b), c) = mult(mult(a, a), mult(c, b)))) | (mult(mult(a, mult(c, b)), a) = mult(a, mult(mult(c, b), a))) | (~(mult(mult(a, mult(b, c)), a) = mult(a, mult(a, mult(b, c))))) | (~(mult(mult(mult(a, b), c), a) = mult(mult(a, b), mult(a, c)))) | (~(mult(mult(a, b), mult(a, c)) = mult(a, mult(mult(a, c), b)))) | (~(mult(mult(a, c), b) = mult(a, mult(c, b)))) | (~(mult(mult(a, b), c) = mult(a, mult(b, c)))) | (~(mult(mult(mult(a, c), b), a) = mult(mult(a, c), mult(b, a))))), inference(lemma,lemma(discharge,[]))).
% 4.41/4.61 tff(3240,plain,
% 4.41/4.61 (mult(mult(a, b), a) = mult(a, mult(a, b))),
% 4.41/4.61 inference(unit_resolution,[status(thm)],[3239, 78, 3220, 3168, 3195, 3174, 2941, 3152, 3149])).
% 4.41/4.61 tff(3241,plain,
% 4.41/4.61 (mult(mult(a, b), a) = mult(a, mult(b, a))),
% 4.41/4.61 inference(transitivity,[status(thm)],[3240, 3219])).
% 4.41/4.61 tff(3242,plain,
% 4.41/4.61 (mult(mult(mult(a, b), a), c) = mult(mult(a, mult(b, a)), c)),
% 4.41/4.61 inference(monotonicity,[status(thm)],[3241])).
% 4.41/4.61 tff(3243,plain,
% 4.41/4.61 ((mult(mult(a, b), a) = mult(a, mult(a, b))) <=> (mult(mult(a, b), a) = mult(a, mult(b, a)))),
% 4.41/4.61 inference(monotonicity,[status(thm)],[3219])).
% 4.41/4.61 tff(3244,plain,
% 4.41/4.61 (mult(mult(a, b), a) = mult(a, mult(b, a))),
% 4.41/4.61 inference(modus_ponens,[status(thm)],[3240, 3243])).
% 4.41/4.61 tff(3245,plain,
% 4.41/4.61 (~(mult(mult(mult(a, b), a), c) = mult(mult(a, b), mult(a, c)))),
% 4.41/4.61 inference(unit_resolution,[status(thm)],[230, 3244, 3173, 3149, 3154, 3168, 3174])).
% 4.41/4.61 tff(3246,plain,
% 4.41/4.61 ((~(mult(mult(mult(a, b), a), c) = mult(mult(a, b), mult(a, c)))) | (~(mult(mult(mult(a, b), c), a) = mult(mult(a, b), mult(c, a))))),
% 4.41/4.61 inference(unit_resolution,[status(thm)],[211, 3245])).
% 4.41/4.61 tff(3247,plain,
% 4.41/4.61 (~((~(mult(mult(mult(a, b), a), c) = mult(mult(a, b), mult(c, a)))) | (~(mult(mult(mult(a, b), c), a) = mult(mult(a, b), mult(a, c)))))),
% 4.41/4.61 inference(unit_resolution,[status(thm)],[183, 3246])).
% 4.41/4.61 tff(3248,plain,
% 4.41/4.61 (mult(mult(mult(a, b), a), c) = mult(mult(a, b), mult(c, a))),
% 4.41/4.61 inference(unit_resolution,[status(thm)],[1690, 3247])).
% 4.41/4.61 tff(3249,plain,
% 4.41/4.61 (mult(mult(a, b), mult(c, a)) = mult(mult(mult(a, b), a), c)),
% 4.41/4.61 inference(symmetry,[status(thm)],[3248])).
% 4.41/4.61 tff(3250,plain,
% 4.41/4.61 (mult(mult(a, b), mult(c, a)) = mult(a, mult(b, mult(c, a)))),
% 4.41/4.61 inference(transitivity,[status(thm)],[3249, 3242, 3175, 3218, 3216, 2710, 3205, 3204, 3169, 509])).
% 4.41/4.61 tff(3251,plain,
% 4.41/4.61 (~(mult(mult(a, c), a) = mult(a, mult(c, a)))),
% 4.41/4.61 inference(unit_resolution,[status(thm)],[890, 3250, 99, 3168, 3158, 3152, 14])).
% 4.41/4.61 tff(3252,plain,
% 4.41/4.61 ((~(mult(mult(a, c), a) = mult(a, mult(c, a)))) | (~(mult(mult(a, a), c) = mult(a, mult(a, c))))),
% 4.41/4.61 inference(unit_resolution,[status(thm)],[892, 3251])).
% 4.41/4.61 tff(3253,plain,
% 4.41/4.61 (~((~(mult(mult(a, c), a) = mult(a, mult(a, c)))) | (~(mult(mult(a, a), c) = mult(a, mult(c, a)))))),
% 4.41/4.61 inference(unit_resolution,[status(thm)],[830, 3252])).
% 4.41/4.61 tff(3254,plain,
% 4.41/4.61 (mult(mult(a, c), a) = mult(a, mult(a, c))),
% 4.41/4.61 inference(unit_resolution,[status(thm)],[895, 3253])).
% 4.41/4.61 tff(3255,plain,
% 4.41/4.61 (mult(mult(mult(a, c), a), b) = mult(mult(a, mult(a, c)), b)),
% 4.41/4.61 inference(monotonicity,[status(thm)],[3254])).
% 4.41/4.61 tff(3256,plain,
% 4.41/4.61 ((mult(mult(mult(a, c), a), b) = mult(mult(a, c), mult(b, a))) <=> (mult(mult(a, mult(a, c)), b) = mult(a, mult(mult(a, c), b)))),
% 4.41/4.61 inference(monotonicity,[status(thm)],[3255, 3151])).
% 4.41/4.61 tff(3257,plain,
% 4.41/4.61 ((mult(mult(a, mult(a, c)), b) = mult(a, mult(mult(a, c), b))) <=> (mult(mult(mult(a, c), a), b) = mult(mult(a, c), mult(b, a)))),
% 4.41/4.61 inference(symmetry,[status(thm)],[3256])).
% 4.41/4.61 tff(3258,plain,
% 4.41/4.61 (mult(a, mult(b, mult(a, c))) = mult(a, mult(mult(a, c), b))),
% 4.41/4.61 inference(transitivity,[status(thm)],[514, 3206, 3150, 2944, 89, 2943])).
% 4.41/4.61 tff(3259,plain,
% 4.41/4.61 ((mult(mult(a, mult(a, c)), b) = mult(a, mult(b, mult(a, c)))) <=> (mult(mult(a, mult(a, c)), b) = mult(a, mult(mult(a, c), b)))),
% 4.41/4.61 inference(monotonicity,[status(thm)],[3258])).
% 4.41/4.61 tff(3260,plain,
% 4.41/4.61 ((mult(mult(a, mult(a, c)), b) = mult(a, mult(b, mult(a, c)))) <=> (mult(mult(mult(a, c), a), b) = mult(mult(a, c), mult(b, a)))),
% 4.41/4.61 inference(transitivity,[status(thm)],[3259, 3257])).
% 4.41/4.61 tff(3261,plain,
% 4.41/4.61 ((mult(mult(a, mult(a, c)), b) = mult(a, mult(b, mult(a, c)))) <=> (mult(mult(a, mult(a, c)), b) = mult(a, mult(mult(a, c), b)))),
% 4.41/4.61 inference(monotonicity,[status(thm)],[2059])).
% 4.41/4.61 tff(3262,plain,
% 4.41/4.61 ((mult(mult(a, mult(a, c)), b) = mult(a, mult(mult(a, c), b))) <=> (mult(mult(a, mult(a, c)), b) = mult(a, mult(b, mult(a, c))))),
% 4.41/4.61 inference(symmetry,[status(thm)],[3261])).
% 4.41/4.61 tff(3263,plain,
% 4.41/4.61 (mult(mult(a, mult(a, c)), b) = mult(a, mult(b, mult(a, c)))),
% 4.41/4.61 inference(modus_ponens,[status(thm)],[2639, 3262])).
% 4.41/4.61 tff(3264,plain,
% 4.41/4.61 ($false),
% 4.41/4.61 inference(unit_resolution,[status(thm)],[2631, 3263])).
% 4.41/4.61 tff(3265,plain,((mult(mult(a, mult(a, c)), b) = mult(a, mult(b, mult(a, c)))) | (~(mult(mult(a, c), mult(b, a)) = mult(a, mult(mult(b, a), c)))) | (~(mult(mult(mult(a, c), b), a) = mult(mult(a, c), mult(b, a)))) | (~(mult(mult(a, mult(c, b)), a) = mult(a, mult(a, mult(c, b))))) | (~(mult(mult(a, c), b) = mult(a, mult(c, b)))) | (~(mult(mult(b, a), c) = mult(b, mult(a, c))))), inference(lemma,lemma(discharge,[]))).
% 4.41/4.61 tff(3266,plain,
% 4.41/4.61 (mult(mult(a, mult(a, c)), b) = mult(a, mult(b, mult(a, c)))),
% 4.41/4.61 inference(unit_resolution,[status(thm)],[3265, 3157, 3149, 89, 2941, 99])).
% 4.41/4.61 tff(3267,plain,
% 4.41/4.61 (mult(mult(mult(a, c), a), b) = mult(mult(a, c), mult(b, a))),
% 4.41/4.61 inference(modus_ponens,[status(thm)],[3266, 3260])).
% 4.41/4.61 tff(3268,plain,
% 4.41/4.61 (mult(mult(a, c), mult(a, b)) = mult(mult(a, c), mult(b, a))),
% 4.41/4.61 inference(monotonicity,[status(thm)],[3212])).
% 4.41/4.61 tff(3269,plain,
% 4.41/4.61 (mult(mult(a, c), mult(b, a)) = mult(mult(a, c), mult(a, b))),
% 4.41/4.61 inference(symmetry,[status(thm)],[3268])).
% 4.41/4.61 tff(3270,plain,
% 4.41/4.61 (mult(mult(mult(a, c), b), a) = mult(mult(a, c), mult(a, b))),
% 4.41/4.61 inference(transitivity,[status(thm)],[3149, 3269])).
% 4.41/4.61 tff(3271,plain,
% 4.41/4.61 (~(mult(mult(a, mult(a, c)), a) = mult(a, mult(mult(a, c), a)))),
% 4.41/4.61 inference(unit_resolution,[status(thm)],[3019, 3266, 2708, 37, 3152, 87, 2941, 731, 3270, 3195, 3174])).
% 4.41/4.61 tff(3272,plain,
% 4.41/4.61 (~(mult(mult(mult(a, c), a), b) = mult(mult(a, c), mult(b, a)))),
% 4.41/4.61 inference(unit_resolution,[status(thm)],[1654, 3271, 99, 3157, 3266])).
% 4.41/4.61 tff(3273,plain,
% 4.41/4.61 ($false),
% 4.41/4.61 inference(unit_resolution,[status(thm)],[3272, 3267])).
% 4.41/4.61 tff(3274,plain,((mult(mult(a, mult(c, b)), a) = mult(a, mult(mult(c, b), a))) | (mult(mult(b, a), c) = mult(b, mult(c, a)))), inference(lemma,lemma(discharge,[]))).
% 4.41/4.61 tff(3275,plain,
% 4.41/4.61 (mult(mult(a, mult(c, b)), a) = mult(a, mult(mult(c, b), a))),
% 4.41/4.61 inference(unit_resolution,[status(thm)],[3274, 14])).
% 4.41/4.61 tff(3276,plain,
% 4.41/4.61 (mult(mult(mult(a, b), c), a) = mult(mult(a, mult(b, c)), a)),
% 4.41/4.61 inference(monotonicity,[status(thm)],[3152])).
% 4.41/4.61 tff(3277,plain,
% 4.41/4.61 (mult(mult(a, mult(b, c)), a) = mult(mult(mult(a, b), c), a)),
% 4.41/4.61 inference(symmetry,[status(thm)],[3276])).
% 4.41/4.61 tff(3278,plain,
% 4.41/4.61 ((mult(mult(a, mult(b, c)), a) = mult(a, mult(mult(b, c), a))) <=> (mult(mult(mult(a, b), c), a) = mult(a, mult(b, mult(c, a))))),
% 4.41/4.61 inference(monotonicity,[status(thm)],[3277, 2043])).
% 4.41/4.61 tff(3279,plain,
% 4.41/4.61 ((mult(mult(a, mult(b, c)), a) = mult(a, mult(mult(b, c), a))) <=> (mult(a, mult(b, mult(c, a))) = mult(mult(mult(a, b), c), a))),
% 4.41/4.61 inference(transitivity,[status(thm)],[3278, 15])).
% 4.41/4.61 tff(3280,plain,
% 4.41/4.61 ((mult(a, mult(b, mult(c, a))) = mult(mult(mult(a, b), c), a)) <=> (mult(mult(a, mult(b, c)), a) = mult(a, mult(mult(b, c), a)))),
% 4.41/4.61 inference(symmetry,[status(thm)],[3279])).
% 4.41/4.61 tff(3281,plain,
% 4.41/4.61 ((~(mult(a, mult(b, mult(c, a))) = mult(mult(mult(a, b), c), a))) <=> (~(mult(mult(a, mult(b, c)), a) = mult(a, mult(mult(b, c), a))))),
% 4.41/4.62 inference(monotonicity,[status(thm)],[3280])).
% 4.41/4.62 tff(3282,plain,
% 4.41/4.62 (~(mult(mult(a, mult(b, c)), a) = mult(a, mult(mult(b, c), a)))),
% 4.41/4.62 inference(modus_ponens,[status(thm)],[194, 3281])).
% 4.41/4.62 tff(3283,plain,
% 4.41/4.62 ((~(mult(mult(a, mult(b, c)), a) = mult(a, mult(mult(b, c), a)))) | (~(mult(mult(a, a), mult(b, c)) = mult(a, mult(a, mult(b, c)))))),
% 4.41/4.62 inference(unit_resolution,[status(thm)],[660, 3282])).
% 4.41/4.62 tff(3284,plain,
% 4.41/4.62 (~((~(mult(mult(a, mult(b, c)), a) = mult(a, mult(a, mult(b, c))))) | (~(mult(mult(a, a), mult(b, c)) = mult(a, mult(mult(b, c), a)))))),
% 4.41/4.62 inference(unit_resolution,[status(thm)],[658, 3283])).
% 4.41/4.62 tff(3285,plain,
% 4.41/4.62 (mult(mult(a, mult(b, c)), a) = mult(a, mult(a, mult(b, c)))),
% 4.41/4.62 inference(unit_resolution,[status(thm)],[786, 3284])).
% 4.41/4.62 tff(3286,plain,
% 4.41/4.62 (mult(mult(a, b), mult(a, c)) = mult(a, mult(mult(a, c), b))),
% 4.41/4.62 inference(unit_resolution,[status(thm)],[365, 3149, 99, 2082, 3173, 3285, 14])).
% 4.41/4.62 tff(3287,plain,
% 4.41/4.62 (mult(mult(c, a), b) = mult(c, mult(a, b))),
% 4.41/4.62 inference(unit_resolution,[status(thm)],[1598, 275, 106, 707])).
% 4.41/4.62 tff(3288,plain,
% 4.41/4.62 (mult(mult(a, b), c) = mult(a, mult(b, c))),
% 4.41/4.62 inference(unit_resolution,[status(thm)],[1930, 788, 106])).
% 4.41/4.62 tff(3289,plain,
% 4.41/4.62 (mult(mult(mult(a, b), c), a) = mult(mult(a, mult(b, c)), a)),
% 4.41/4.62 inference(monotonicity,[status(thm)],[3288])).
% 4.41/4.62 tff(3290,plain,
% 4.41/4.62 (mult(mult(a, mult(b, c)), a) = mult(mult(mult(a, b), c), a)),
% 4.41/4.62 inference(symmetry,[status(thm)],[3289])).
% 4.41/4.62 tff(3291,plain,
% 4.41/4.62 ((mult(mult(a, mult(b, c)), a) = mult(a, mult(mult(b, c), a))) <=> (mult(mult(mult(a, b), c), a) = mult(a, mult(b, mult(c, a))))),
% 4.41/4.62 inference(monotonicity,[status(thm)],[3290, 103])).
% 4.41/4.62 tff(3292,plain,
% 4.41/4.62 ((mult(mult(a, mult(b, c)), a) = mult(a, mult(mult(b, c), a))) <=> (mult(a, mult(b, mult(c, a))) = mult(mult(mult(a, b), c), a))),
% 4.41/4.62 inference(transitivity,[status(thm)],[3291, 15])).
% 4.41/4.62 tff(3293,plain,
% 4.41/4.62 ((mult(a, mult(b, mult(c, a))) = mult(mult(mult(a, b), c), a)) <=> (mult(mult(a, mult(b, c)), a) = mult(a, mult(mult(b, c), a)))),
% 4.41/4.62 inference(symmetry,[status(thm)],[3292])).
% 4.41/4.62 tff(3294,plain,
% 4.41/4.62 ((~(mult(a, mult(b, mult(c, a))) = mult(mult(mult(a, b), c), a))) <=> (~(mult(mult(a, mult(b, c)), a) = mult(a, mult(mult(b, c), a))))),
% 4.41/4.62 inference(monotonicity,[status(thm)],[3293])).
% 4.41/4.62 tff(3295,plain,
% 4.41/4.62 (~(mult(mult(a, mult(b, c)), a) = mult(a, mult(mult(b, c), a)))),
% 4.41/4.62 inference(modus_ponens,[status(thm)],[194, 3294])).
% 4.41/4.62 tff(3296,plain,
% 4.41/4.62 ((~(mult(mult(a, mult(b, c)), a) = mult(a, mult(mult(b, c), a)))) | (~(mult(mult(a, a), mult(b, c)) = mult(a, mult(a, mult(b, c)))))),
% 4.41/4.62 inference(unit_resolution,[status(thm)],[660, 3295])).
% 4.41/4.62 tff(3297,plain,
% 4.41/4.62 (~((~(mult(mult(a, mult(b, c)), a) = mult(a, mult(a, mult(b, c))))) | (~(mult(mult(a, a), mult(b, c)) = mult(a, mult(mult(b, c), a)))))),
% 4.41/4.62 inference(unit_resolution,[status(thm)],[658, 3296])).
% 4.41/4.62 tff(3298,plain,
% 4.41/4.62 (mult(mult(a, mult(b, c)), a) = mult(a, mult(a, mult(b, c)))),
% 4.41/4.62 inference(unit_resolution,[status(thm)],[786, 3297])).
% 4.41/4.62 tff(3299,plain,
% 4.41/4.62 (mult(mult(a, a), mult(b, c)) = mult(a, mult(mult(b, c), a))),
% 4.41/4.62 inference(unit_resolution,[status(thm)],[653, 3297])).
% 4.41/4.62 tff(3300,plain,
% 4.41/4.62 (mult(a, mult(mult(b, c), a)) = mult(mult(a, a), mult(b, c))),
% 4.41/4.62 inference(symmetry,[status(thm)],[3299])).
% 4.41/4.62 tff(3301,plain,
% 4.41/4.62 (mult(a, mult(b, mult(c, a))) = mult(mult(a, a), mult(b, c))),
% 4.41/4.62 inference(transitivity,[status(thm)],[1196, 3300])).
% 4.41/4.62 tff(3302,plain,
% 4.41/4.62 (mult(mult(a, b), mult(c, a)) = mult(a, mult(a, mult(b, c)))),
% 4.41/4.62 inference(transitivity,[status(thm)],[1873, 3289, 3298])).
% 4.41/4.62 tff(3303,plain,
% 4.41/4.62 ((mult(mult(a, b), mult(c, a)) = mult(a, mult(b, mult(c, a)))) <=> (mult(a, mult(a, mult(b, c))) = mult(mult(a, a), mult(b, c)))),
% 4.41/4.62 inference(monotonicity,[status(thm)],[3302, 3301])).
% 4.41/4.62 tff(3304,plain,
% 4.41/4.62 ((mult(mult(a, b), mult(c, a)) = mult(a, mult(b, mult(c, a)))) <=> (mult(mult(a, a), mult(b, c)) = mult(a, mult(a, mult(b, c))))),
% 4.41/4.62 inference(transitivity,[status(thm)],[3303, 1824])).
% 4.41/4.62 tff(3305,plain,
% 4.41/4.62 ((mult(mult(a, a), mult(b, c)) = mult(a, mult(a, mult(b, c)))) <=> (mult(mult(a, b), mult(c, a)) = mult(a, mult(b, mult(c, a))))),
% 4.41/4.62 inference(symmetry,[status(thm)],[3304])).
% 4.41/4.62 tff(3306,plain,
% 4.41/4.62 ((~(mult(mult(a, a), mult(b, c)) = mult(a, mult(a, mult(b, c))))) <=> (~(mult(mult(a, b), mult(c, a)) = mult(a, mult(b, mult(c, a)))))),
% 4.41/4.62 inference(monotonicity,[status(thm)],[3305])).
% 4.41/4.62 tff(3307,plain,
% 4.41/4.62 (~(mult(mult(a, a), mult(b, c)) = mult(a, mult(a, mult(b, c))))),
% 4.41/4.62 inference(unit_resolution,[status(thm)],[1847, 3295])).
% 4.41/4.62 tff(3308,plain,
% 4.41/4.62 (~(mult(mult(a, b), mult(c, a)) = mult(a, mult(b, mult(c, a))))),
% 4.41/4.62 inference(modus_ponens,[status(thm)],[3307, 3306])).
% 4.41/4.62 tff(3309,plain,
% 4.41/4.62 ((~(mult(mult(a, b), mult(c, a)) = mult(a, mult(b, mult(c, a))))) | (~(mult(mult(a, mult(c, a)), b) = mult(a, mult(mult(c, a), b))))),
% 4.41/4.62 inference(unit_resolution,[status(thm)],[196, 3308])).
% 4.41/4.62 tff(3310,plain,
% 4.41/4.62 (~((~(mult(mult(a, b), mult(c, a)) = mult(a, mult(mult(c, a), b)))) | (~(mult(mult(a, mult(c, a)), b) = mult(a, mult(b, mult(c, a))))))),
% 4.41/4.62 inference(unit_resolution,[status(thm)],[201, 3309])).
% 4.41/4.62 tff(3311,plain,
% 4.41/4.62 (mult(mult(a, b), mult(c, a)) = mult(a, mult(mult(c, a), b))),
% 4.41/4.62 inference(unit_resolution,[status(thm)],[203, 3310])).
% 4.41/4.62 tff(3312,plain,
% 4.41/4.62 (mult(mult(a, mult(a, b)), c) = mult(a, mult(c, mult(a, b)))),
% 4.41/4.62 inference(unit_resolution,[status(thm)],[1861, 3311, 3288, 3298, 275, 3287])).
% 4.41/4.62 tff(3313,plain,
% 4.41/4.62 (~(mult(mult(a, b), a) = mult(a, mult(a, b)))),
% 4.41/4.62 inference(unit_resolution,[status(thm)],[285, 3312, 248, 3287])).
% 4.41/4.62 tff(3314,plain,
% 4.41/4.62 ((~(mult(mult(a, a), b) = mult(a, mult(b, a)))) | (~(mult(mult(a, b), a) = mult(a, mult(a, b))))),
% 4.41/4.62 inference(unit_resolution,[status(thm)],[246, 3313])).
% 4.41/4.62 tff(3315,plain,
% 4.41/4.62 (~((~(mult(mult(a, a), b) = mult(a, mult(a, b)))) | (~(mult(mult(a, b), a) = mult(a, mult(b, a)))))),
% 4.41/4.62 inference(unit_resolution,[status(thm)],[244, 3314])).
% 4.41/4.62 tff(3316,plain,
% 4.41/4.62 (mult(a, mult(b, c)) = mult(mult(a, b), c)),
% 4.41/4.62 inference(symmetry,[status(thm)],[3288])).
% 4.41/4.62 tff(3317,plain,
% 4.41/4.62 ((mult(mult(a, c), b) = mult(a, mult(b, c))) <=> (mult(a, mult(c, b)) = mult(mult(a, b), c))),
% 4.41/4.62 inference(monotonicity,[status(thm)],[788, 3316])).
% 4.41/4.62 tff(3318,plain,
% 4.41/4.62 ((mult(mult(a, c), b) = mult(a, mult(b, c))) <=> (mult(mult(a, b), c) = mult(a, mult(c, b)))),
% 4.41/4.62 inference(transitivity,[status(thm)],[3317, 2189])).
% 4.41/4.62 tff(3319,plain,
% 4.41/4.62 ((mult(mult(a, b), c) = mult(a, mult(c, b))) <=> (mult(mult(a, c), b) = mult(a, mult(b, c)))),
% 4.41/4.62 inference(symmetry,[status(thm)],[3318])).
% 4.41/4.62 tff(3320,plain,
% 4.41/4.62 (mult(mult(a, c), b) = mult(a, mult(b, c))),
% 4.41/4.62 inference(modus_ponens,[status(thm)],[106, 3319])).
% 4.41/4.62 tff(3321,plain,
% 4.41/4.62 (~(mult(mult(a, c), mult(b, a)) = mult(a, mult(c, mult(b, a))))),
% 4.41/4.62 inference(unit_resolution,[status(thm)],[2500, 3313, 342, 788, 93, 707])).
% 4.41/4.62 tff(3322,plain,
% 4.41/4.62 (~(mult(mult(a, b), a) = mult(a, mult(b, a)))),
% 4.41/4.62 inference(unit_resolution,[status(thm)],[230, 3321, 3320, 93, 253, 3298, 167])).
% 4.41/4.62 tff(3323,plain,
% 4.41/4.62 ($false),
% 4.41/4.62 inference(unit_resolution,[status(thm)],[232, 3322, 3315])).
% 4.41/4.62 tff(3324,plain,((mult(mult(mult(a, b), c), a) = mult(mult(a, b), mult(a, c))) | (~(mult(mult(mult(a, c), b), a) = mult(mult(a, c), mult(b, a)))) | (~(mult(mult(a, b), mult(a, c)) = mult(a, mult(mult(a, c), b)))) | (~(mult(mult(c, a), b) = mult(c, mult(b, a)))) | (~(mult(mult(a, c), b) = mult(a, mult(c, b)))) | (~(mult(mult(a, mult(c, b)), a) = mult(a, mult(mult(c, b), a)))) | (~(mult(mult(b, c), a) = mult(b, mult(c, a)))) | (~(mult(mult(a, b), c) = mult(a, mult(c, b))))), inference(lemma,lemma(discharge,[]))).
% 4.41/4.62 tff(3325,plain,
% 4.41/4.62 (mult(mult(mult(a, b), c), a) = mult(mult(a, b), mult(a, c))),
% 4.41/4.62 inference(unit_resolution,[status(thm)],[3324, 3149, 3286, 2082, 2941, 3275, 37, 2593])).
% 4.41/4.62 tff(3326,plain,
% 4.41/4.62 (mult(mult(mult(a, c), b), a) = mult(mult(a, c), mult(b, a))),
% 4.41/4.62 inference(unit_resolution,[status(thm)],[3148, 788, 118, 102, 2095, 342])).
% 4.41/4.62 tff(3327,plain,
% 4.41/4.62 (mult(mult(a, b), a) = mult(a, mult(a, b))),
% 4.41/4.62 inference(unit_resolution,[status(thm)],[2426, 135, 3326, 118, 707, 2946, 168, 788, 2110, 102, 2095])).
% 4.41/4.62 tff(3328,plain,
% 4.41/4.62 (~(mult(mult(mult(a, b), c), a) = mult(mult(a, b), mult(c, a)))),
% 4.41/4.62 inference(unit_resolution,[status(thm)],[2583, 119, 788, 3326, 118, 707, 2946, 168, 342, 102, 2095])).
% 4.41/4.62 tff(3329,plain,
% 4.41/4.62 ((~(mult(mult(mult(a, b), a), c) = mult(mult(a, b), mult(a, c)))) | (~(mult(mult(mult(a, b), c), a) = mult(mult(a, b), mult(c, a))))),
% 4.41/4.62 inference(unit_resolution,[status(thm)],[185, 3328])).
% 4.41/4.62 tff(3330,plain,
% 4.41/4.62 (~((~(mult(mult(mult(a, b), a), c) = mult(mult(a, b), mult(c, a)))) | (~(mult(mult(mult(a, b), c), a) = mult(mult(a, b), mult(a, c)))))),
% 4.41/4.62 inference(unit_resolution,[status(thm)],[183, 3329])).
% 4.41/4.62 tff(3331,plain,
% 4.41/4.62 (mult(mult(mult(a, b), a), c) = mult(mult(a, b), mult(c, a))),
% 4.41/4.62 inference(unit_resolution,[status(thm)],[1690, 3330])).
% 4.41/4.62 tff(3332,plain,
% 4.41/4.62 (~(mult(mult(a, mult(a, b)), c) = mult(a, mult(c, mult(a, b))))),
% 4.41/4.62 inference(unit_resolution,[status(thm)],[2444, 3331, 3326, 2116, 707, 119, 3327, 342, 788])).
% 4.41/4.62 tff(3333,plain,
% 4.41/4.62 ((~(mult(mult(a, mult(a, b)), c) = mult(a, mult(c, mult(a, b))))) | (~(mult(mult(a, c), mult(a, b)) = mult(a, mult(mult(a, b), c))))),
% 4.41/4.62 inference(unit_resolution,[status(thm)],[287, 3332])).
% 4.41/4.62 tff(3334,plain,
% 4.41/4.62 (~((~(mult(mult(a, mult(a, b)), c) = mult(a, mult(mult(a, b), c)))) | (~(mult(mult(a, c), mult(a, b)) = mult(a, mult(c, mult(a, b))))))),
% 4.41/4.62 inference(unit_resolution,[status(thm)],[292, 3333])).
% 4.41/4.62 tff(3335,plain,
% 4.41/4.62 (mult(mult(a, c), mult(a, b)) = mult(a, mult(c, mult(a, b)))),
% 4.41/4.62 inference(unit_resolution,[status(thm)],[604, 3334])).
% 4.41/4.62 tff(3336,plain,
% 4.41/4.62 (mult(mult(a, c), mult(a, b)) = mult(mult(a, c), mult(b, a))),
% 4.41/4.62 inference(transitivity,[status(thm)],[3335, 2339, 708, 2244, 3326])).
% 4.41/4.62 tff(3337,plain,
% 4.41/4.62 (ld(mult(a, c), mult(mult(a, c), mult(a, b))) = ld(mult(a, c), mult(mult(a, c), mult(b, a)))),
% 4.41/4.62 inference(monotonicity,[status(thm)],[3336])).
% 4.41/4.62 tff(3338,plain,
% 4.41/4.62 (ld(mult(a, c), mult(mult(a, c), mult(b, a))) = ld(mult(a, c), mult(mult(a, c), mult(a, b)))),
% 4.41/4.62 inference(symmetry,[status(thm)],[3337])).
% 4.41/4.62 tff(3339,plain,
% 4.41/4.62 (mult(b, a) = ld(mult(a, c), mult(mult(a, c), mult(b, a)))),
% 4.41/4.62 inference(symmetry,[status(thm)],[2364])).
% 4.41/4.62 tff(3340,plain,
% 4.41/4.62 (mult(b, a) = mult(a, b)),
% 4.41/4.62 inference(transitivity,[status(thm)],[3339, 3338, 2368])).
% 4.41/4.62 tff(3341,plain,
% 4.41/4.62 (mult(mult(b, a), c) = mult(mult(a, b), c)),
% 4.41/4.62 inference(monotonicity,[status(thm)],[3340])).
% 4.41/4.62 tff(3342,plain,
% 4.41/4.62 (mult(mult(a, b), c) = mult(mult(b, a), c)),
% 4.41/4.62 inference(symmetry,[status(thm)],[3341])).
% 4.41/4.62 tff(3343,plain,
% 4.41/4.62 (mult(mult(a, b), c) = mult(b, mult(a, c))),
% 4.41/4.62 inference(transitivity,[status(thm)],[3342, 118])).
% 4.41/4.62 tff(3344,plain,
% 4.41/4.62 (mult(a, mult(mult(a, b), c)) = mult(a, mult(b, mult(a, c)))),
% 4.41/4.62 inference(monotonicity,[status(thm)],[3343])).
% 4.41/4.62 tff(3345,plain,
% 4.41/4.62 (mult(a, mult(b, mult(a, c))) = mult(a, mult(mult(a, b), c))),
% 4.41/4.62 inference(symmetry,[status(thm)],[3344])).
% 4.41/4.62 tff(3346,plain,
% 4.41/4.62 (mult(mult(a, c), mult(a, b)) = mult(a, mult(mult(a, b), c))),
% 4.41/4.62 inference(transitivity,[status(thm)],[3335, 2339, 708, 2244, 3326, 135, 1632, 3345])).
% 4.41/4.62 tff(3347,plain,
% 4.41/4.62 (mult(a, mult(c, mult(a, b))) = mult(mult(a, c), mult(a, b))),
% 4.41/4.62 inference(symmetry,[status(thm)],[3335])).
% 4.41/4.62 tff(3348,plain,
% 4.41/4.62 (mult(mult(a, mult(a, b)), c) = mult(a, mult(mult(a, b), c))),
% 4.41/4.62 inference(unit_resolution,[status(thm)],[266, 3334])).
% 4.41/4.62 tff(3349,plain,
% 4.41/4.62 ((mult(mult(a, mult(a, b)), c) = mult(a, mult(c, mult(a, b)))) <=> (mult(a, mult(mult(a, b), c)) = mult(mult(a, c), mult(a, b)))),
% 4.41/4.62 inference(monotonicity,[status(thm)],[3348, 3347])).
% 4.41/4.62 tff(3350,plain,
% 4.41/4.62 ((mult(mult(a, mult(a, b)), c) = mult(a, mult(c, mult(a, b)))) <=> (mult(mult(a, c), mult(a, b)) = mult(a, mult(mult(a, b), c)))),
% 4.41/4.62 inference(transitivity,[status(thm)],[3349, 2979])).
% 4.41/4.62 tff(3351,plain,
% 4.41/4.62 ((~(mult(mult(a, mult(a, b)), c) = mult(a, mult(c, mult(a, b))))) <=> (~(mult(mult(a, c), mult(a, b)) = mult(a, mult(mult(a, b), c))))),
% 4.41/4.62 inference(monotonicity,[status(thm)],[3350])).
% 4.41/4.62 tff(3352,plain,
% 4.41/4.62 (~(mult(mult(a, c), mult(a, b)) = mult(a, mult(mult(a, b), c)))),
% 4.41/4.62 inference(modus_ponens,[status(thm)],[3332, 3351])).
% 4.41/4.62 tff(3353,plain,
% 4.41/4.62 ($false),
% 4.41/4.62 inference(unit_resolution,[status(thm)],[3352, 3346])).
% 4.41/4.62 tff(3354,plain,((mult(mult(a, c), mult(b, a)) = mult(a, mult(c, mult(b, a)))) | (~(mult(mult(a, mult(c, b)), a) = mult(a, mult(mult(c, b), a)))) | (~(mult(mult(a, c), b) = mult(a, mult(c, b)))) | (~(mult(mult(b, a), c) = mult(b, mult(a, c)))) | (~(mult(mult(c, a), b) = mult(c, mult(b, a)))) | (~(mult(mult(mult(a, b), c), a) = mult(mult(a, b), mult(a, c)))) | (~(mult(mult(b, c), a) = mult(b, mult(c, a)))) | (mult(b, mult(c, a)) = mult(b, mult(a, c)))), inference(lemma,lemma(discharge,[]))).
% 4.41/4.62 tff(3355,plain,
% 4.41/4.62 (mult(mult(a, c), mult(b, a)) = mult(a, mult(c, mult(b, a)))),
% 4.41/4.62 inference(unit_resolution,[status(thm)],[3354, 3275, 2941, 99, 2082, 3325, 37, 731])).
% 4.41/4.62 tff(3356,plain,
% 4.41/4.62 (mult(mult(a, mult(c, b)), a) = mult(mult(mult(a, c), b), a)),
% 4.41/4.62 inference(symmetry,[status(thm)],[2944])).
% 4.41/4.62 tff(3357,plain,
% 4.41/4.62 (mult(a, mult(mult(c, b), a)) = mult(mult(a, mult(c, b)), a)),
% 4.41/4.62 inference(symmetry,[status(thm)],[3275])).
% 4.41/4.62 tff(3358,plain,
% 4.41/4.62 (mult(c, mult(a, b)) = mult(mult(c, b), a)),
% 4.41/4.62 inference(symmetry,[status(thm)],[2708])).
% 4.41/4.62 tff(3359,plain,
% 4.41/4.62 (mult(a, mult(c, mult(a, b))) = mult(a, mult(mult(c, b), a))),
% 4.41/4.62 inference(monotonicity,[status(thm)],[3358])).
% 4.41/4.62 tff(3360,plain,
% 4.41/4.62 (mult(a, mult(c, mult(a, b))) = mult(a, mult(mult(c, a), b))),
% 4.41/4.62 inference(transitivity,[status(thm)],[3359, 3357, 3356, 3149, 3355, 2084])).
% 4.41/4.62 tff(3361,plain,
% 4.41/4.62 (ld(a, mult(a, mult(c, mult(a, b)))) = ld(a, mult(a, mult(mult(c, a), b)))),
% 4.41/4.62 inference(monotonicity,[status(thm)],[3360])).
% 4.41/4.62 tff(3362,plain,
% 4.41/4.62 (mult(c, mult(a, b)) = mult(c, mult(b, a))),
% 4.41/4.62 inference(transitivity,[status(thm)],[668, 3361, 209, 2082])).
% 4.41/4.62 tff(3363,plain,
% 4.41/4.62 (ld(c, mult(c, mult(a, b))) = ld(c, mult(c, mult(b, a)))),
% 4.41/4.62 inference(monotonicity,[status(thm)],[3362])).
% 4.41/4.62 tff(3364,plain,
% 4.41/4.62 (ld(c, mult(c, mult(b, a))) = ld(c, mult(c, mult(a, b)))),
% 4.41/4.62 inference(symmetry,[status(thm)],[3363])).
% 4.41/4.62 tff(3365,plain,
% 4.41/4.62 (mult(b, a) = mult(a, b)),
% 4.41/4.62 inference(transitivity,[status(thm)],[2478, 3364, 13])).
% 4.41/4.62 tff(3366,plain,
% 4.41/4.62 (mult(mult(b, a), c) = mult(mult(a, b), c)),
% 4.41/4.62 inference(monotonicity,[status(thm)],[3365])).
% 4.41/4.62 tff(3367,plain,
% 4.41/4.62 (mult(b, mult(a, c)) = mult(mult(a, b), c)),
% 4.41/4.62 inference(transitivity,[status(thm)],[513, 3366])).
% 4.41/4.62 tff(3368,plain,
% 4.41/4.62 (mult(a, mult(b, mult(a, c))) = mult(a, mult(mult(a, b), c))),
% 4.41/4.62 inference(monotonicity,[status(thm)],[3367])).
% 4.41/4.62 tff(3369,plain,
% 4.41/4.62 (mult(a, mult(mult(b, a), c)) = mult(a, mult(b, mult(a, c)))),
% 4.41/4.62 inference(monotonicity,[status(thm)],[99])).
% 4.41/4.62 tff(3370,plain,
% 4.41/4.62 (mult(a, mult(mult(b, a), c)) = mult(a, mult(mult(a, b), c))),
% 4.41/4.62 inference(transitivity,[status(thm)],[3369, 3368])).
% 4.41/4.62 tff(3371,plain,
% 4.41/4.62 (ld(c, mult(c, mult(b, a))) = ld(c, mult(c, mult(a, b)))),
% 4.41/4.62 inference(symmetry,[status(thm)],[2493])).
% 4.41/4.62 tff(3372,plain,
% 4.41/4.62 (mult(b, a) = mult(a, b)),
% 4.41/4.62 inference(transitivity,[status(thm)],[2478, 3371, 13])).
% 4.41/4.62 tff(3373,plain,
% 4.41/4.62 (mult(a, mult(b, a)) = mult(a, mult(a, b))),
% 4.41/4.62 inference(monotonicity,[status(thm)],[3372])).
% 4.41/4.62 tff(3374,plain,
% 4.41/4.62 (mult(a, mult(a, b)) = mult(a, mult(b, a))),
% 4.41/4.62 inference(symmetry,[status(thm)],[3373])).
% 4.41/4.62 tff(3375,plain,
% 4.41/4.62 ((mult(mult(a, a), b) = mult(a, mult(a, b))) <=> (mult(mult(a, a), b) = mult(a, mult(b, a)))),
% 4.41/4.62 inference(monotonicity,[status(thm)],[3374])).
% 4.41/4.62 tff(3376,plain,
% 4.41/4.62 ((mult(mult(a, a), b) = mult(a, mult(b, a))) <=> (mult(mult(a, a), b) = mult(a, mult(a, b)))),
% 4.41/4.62 inference(symmetry,[status(thm)],[3375])).
% 4.41/4.62 tff(3377,plain,
% 4.41/4.62 (mult(mult(a, a), b) = mult(a, mult(a, b))),
% 4.41/4.62 inference(modus_ponens,[status(thm)],[2846, 3376])).
% 4.41/4.62 tff(3378,plain,
% 4.41/4.62 ($false),
% 4.41/4.62 inference(unit_resolution,[status(thm)],[2832, 3377])).
% 4.41/4.62 tff(3379,plain,((mult(mult(a, a), b) = mult(a, mult(a, b))) | (~(mult(mult(c, a), b) = mult(c, mult(b, a)))) | (~(mult(mult(a, c), mult(b, a)) = mult(a, mult(c, mult(b, a))))) | (~(mult(mult(mult(a, c), b), a) = mult(mult(a, c), mult(b, a)))) | (~(mult(mult(a, mult(c, b)), a) = mult(a, mult(mult(c, b), a)))) | (~(mult(mult(a, c), b) = mult(a, mult(c, b))))), inference(lemma,lemma(discharge,[]))).
% 4.41/4.62 tff(3380,plain,
% 4.41/4.62 (mult(mult(a, a), b) = mult(a, mult(a, b))),
% 4.41/4.62 inference(unit_resolution,[status(thm)],[3379, 2082, 3355, 3149, 3275, 2941])).
% 4.41/4.62 tff(3381,plain,
% 4.41/4.62 (mult(a, mult(a, b)) = mult(mult(a, a), b)),
% 4.41/4.62 inference(symmetry,[status(thm)],[3380])).
% 4.41/4.62 tff(3382,plain,
% 4.41/4.62 (mult(mult(a, mult(a, b)), c) = mult(mult(mult(a, a), b), c)),
% 4.41/4.62 inference(monotonicity,[status(thm)],[3381])).
% 4.41/4.62 tff(3383,plain,
% 4.41/4.62 (mult(mult(mult(a, a), b), c) = mult(mult(a, mult(a, b)), c)),
% 4.41/4.62 inference(symmetry,[status(thm)],[3382])).
% 4.41/4.62 tff(3384,plain,
% 4.41/4.62 (mult(a, mult(b, a)) = mult(a, mult(a, b))),
% 4.41/4.62 inference(monotonicity,[status(thm)],[3365])).
% 4.41/4.62 tff(3385,plain,
% 4.41/4.62 (mult(a, mult(b, a)) = mult(mult(a, a), b)),
% 4.41/4.62 inference(transitivity,[status(thm)],[3384, 3381])).
% 4.41/4.62 tff(3386,plain,
% 4.41/4.62 (mult(mult(a, mult(b, a)), c) = mult(mult(mult(a, a), b), c)),
% 4.41/4.62 inference(monotonicity,[status(thm)],[3385])).
% 4.41/4.62 tff(3387,plain,
% 4.41/4.62 (mult(mult(a, mult(b, a)), c) = mult(mult(a, mult(a, b)), c)),
% 4.41/4.62 inference(transitivity,[status(thm)],[3386, 3383])).
% 4.41/4.62 tff(3388,plain,
% 4.41/4.62 ((mult(mult(a, mult(b, a)), c) = mult(a, mult(mult(b, a), c))) <=> (mult(mult(a, mult(a, b)), c) = mult(a, mult(mult(a, b), c)))),
% 4.41/4.62 inference(monotonicity,[status(thm)],[3387, 3370])).
% 4.41/4.62 tff(3389,plain,
% 4.41/4.62 ((~(mult(mult(a, mult(b, a)), c) = mult(a, mult(mult(b, a), c)))) <=> (~(mult(mult(a, mult(a, b)), c) = mult(a, mult(mult(a, b), c))))),
% 4.41/4.62 inference(monotonicity,[status(thm)],[3388])).
% 4.41/4.62 tff(3390,plain,
% 4.41/4.62 (~(mult(mult(a, a), mult(b, c)) = mult(a, mult(a, mult(b, c))))),
% 4.41/4.62 inference(unit_resolution,[status(thm)],[1847, 3282])).
% 4.41/4.62 tff(3391,plain,
% 4.41/4.62 (mult(mult(mult(a, a), c), b) = mult(mult(a, a), mult(c, b))),
% 4.41/4.62 inference(unit_resolution,[status(thm)],[1028, 3325, 3152, 2941, 3285, 3286])).
% 4.41/4.62 tff(3392,plain,
% 4.41/4.62 (mult(mult(b, a), c) = mult(mult(a, b), c)),
% 4.41/4.62 inference(monotonicity,[status(thm)],[3372])).
% 4.41/4.62 tff(3393,plain,
% 4.41/4.62 (mult(b, mult(a, c)) = mult(mult(a, b), c)),
% 4.41/4.62 inference(transitivity,[status(thm)],[1582, 3392])).
% 4.41/4.62 tff(3394,plain,
% 4.41/4.62 (mult(a, mult(b, mult(a, c))) = mult(a, mult(mult(a, b), c))),
% 4.41/4.62 inference(monotonicity,[status(thm)],[3393])).
% 4.41/4.62 tff(3395,plain,
% 4.41/4.62 (mult(mult(a, a), b) = mult(a, mult(a, b))),
% 4.41/4.62 inference(unit_resolution,[status(thm)],[3379, 342, 368, 93, 707, 788])).
% 4.41/4.62 tff(3396,plain,
% 4.41/4.62 (mult(mult(a, a), b) = mult(a, mult(b, a))),
% 4.41/4.62 inference(transitivity,[status(thm)],[3395, 3374])).
% 4.41/4.62 tff(3397,plain,
% 4.41/4.62 (mult(mult(mult(a, a), b), c) = mult(mult(a, mult(b, a)), c)),
% 4.41/4.62 inference(monotonicity,[status(thm)],[3396])).
% 4.41/4.62 tff(3398,plain,
% 4.41/4.62 (mult(mult(a, a), mult(c, b)) = mult(a, mult(a, mult(b, c)))),
% 4.41/4.62 inference(transitivity,[status(thm)],[1897, 3397, 1435, 148, 3394, 2576])).
% 4.41/4.62 tff(3399,plain,
% 4.41/4.62 (mult(mult(mult(a, a), b), c) = mult(a, mult(a, mult(b, c)))),
% 4.41/4.62 inference(transitivity,[status(thm)],[3397, 1435, 148, 3394, 2576])).
% 4.41/4.62 tff(3400,plain,
% 4.41/4.62 ((mult(mult(mult(a, a), b), c) = mult(mult(a, a), mult(b, c))) <=> (mult(a, mult(a, mult(b, c))) = mult(mult(a, a), mult(b, c)))),
% 4.41/4.62 inference(monotonicity,[status(thm)],[3399])).
% 4.41/4.62 tff(3401,plain,
% 4.41/4.62 ((mult(mult(mult(a, a), b), c) = mult(mult(a, a), mult(b, c))) <=> (mult(mult(a, a), mult(b, c)) = mult(a, mult(a, mult(b, c))))),
% 4.46/4.62 inference(transitivity,[status(thm)],[3400, 1824])).
% 4.46/4.62 tff(3402,plain,
% 4.46/4.62 ((mult(mult(a, a), mult(b, c)) = mult(a, mult(a, mult(b, c)))) <=> (mult(mult(mult(a, a), b), c) = mult(mult(a, a), mult(b, c)))),
% 4.46/4.62 inference(symmetry,[status(thm)],[3401])).
% 4.46/4.62 tff(3403,plain,
% 4.46/4.62 ((~(mult(mult(a, a), mult(b, c)) = mult(a, mult(a, mult(b, c))))) <=> (~(mult(mult(mult(a, a), b), c) = mult(mult(a, a), mult(b, c))))),
% 4.46/4.62 inference(monotonicity,[status(thm)],[3402])).
% 4.46/4.62 tff(3404,assumption,(~(mult(mult(a, a), mult(b, c)) = mult(a, mult(a, mult(b, c))))), introduced(assumption)).
% 4.46/4.62 tff(3405,plain,
% 4.46/4.62 (~(mult(mult(mult(a, a), b), c) = mult(mult(a, a), mult(b, c)))),
% 4.46/4.62 inference(modus_ponens,[status(thm)],[3404, 3403])).
% 4.46/4.62 tff(3406,plain,
% 4.46/4.62 ((~(mult(mult(mult(a, a), b), c) = mult(mult(a, a), mult(b, c)))) | (~(mult(mult(mult(a, a), c), b) = mult(mult(a, a), mult(c, b))))),
% 4.46/4.62 inference(unit_resolution,[status(thm)],[317, 3405])).
% 4.46/4.63 tff(3407,plain,
% 4.46/4.63 (~((~(mult(mult(mult(a, a), b), c) = mult(mult(a, a), mult(c, b)))) | (~(mult(mult(mult(a, a), c), b) = mult(mult(a, a), mult(b, c)))))),
% 4.46/4.63 inference(unit_resolution,[status(thm)],[338, 3406])).
% 4.46/4.63 tff(3408,plain,
% 4.46/4.63 (mult(mult(mult(a, a), c), b) = mult(mult(a, a), mult(b, c))),
% 4.46/4.63 inference(unit_resolution,[status(thm)],[1012, 3407])).
% 4.46/4.63 tff(3409,plain,
% 4.46/4.63 ((mult(mult(mult(a, a), c), b) = mult(mult(a, a), mult(c, b))) <=> (mult(mult(a, a), mult(b, c)) = mult(a, mult(a, mult(b, c))))),
% 4.46/4.63 inference(monotonicity,[status(thm)],[3408, 3398])).
% 4.46/4.63 tff(3410,plain,
% 4.46/4.63 ((mult(mult(a, a), mult(b, c)) = mult(a, mult(a, mult(b, c)))) <=> (mult(mult(mult(a, a), c), b) = mult(mult(a, a), mult(c, b)))),
% 4.46/4.63 inference(symmetry,[status(thm)],[3409])).
% 4.46/4.63 tff(3411,plain,
% 4.46/4.63 ((~(mult(mult(a, a), mult(b, c)) = mult(a, mult(a, mult(b, c))))) <=> (~(mult(mult(mult(a, a), c), b) = mult(mult(a, a), mult(c, b))))),
% 4.46/4.63 inference(monotonicity,[status(thm)],[3410])).
% 4.46/4.63 tff(3412,plain,
% 4.46/4.63 (~(mult(mult(mult(a, a), c), b) = mult(mult(a, a), mult(c, b)))),
% 4.46/4.63 inference(modus_ponens,[status(thm)],[3404, 3411])).
% 4.46/4.63 tff(3413,plain,
% 4.46/4.63 ($false),
% 4.46/4.63 inference(unit_resolution,[status(thm)],[789, 3412])).
% 4.46/4.63 tff(3414,plain,((~(mult(mult(a, mult(b, a)), c) = mult(a, mult(mult(b, a), c)))) | (~(mult(mult(mult(a, a), c), b) = mult(mult(a, a), mult(c, b)))) | (mult(mult(a, a), mult(b, c)) = mult(a, mult(a, mult(b, c)))) | (~(mult(mult(mult(a, a), b), c) = mult(mult(a, a), mult(c, b)))) | (~(mult(mult(b, a), c) = mult(b, mult(a, c)))) | (~(mult(mult(c, a), b) = mult(c, mult(b, a)))) | (~(mult(mult(a, c), mult(b, a)) = mult(a, mult(c, mult(b, a))))) | (~(mult(mult(mult(a, c), b), a) = mult(mult(a, c), mult(b, a)))) | (~(mult(mult(a, mult(c, b)), a) = mult(a, mult(mult(c, b), a)))) | (~(mult(mult(a, c), b) = mult(a, mult(c, b)))) | (~(mult(mult(a, b), c) = mult(a, mult(b, c))))), inference(lemma,lemma(discharge,[]))).
% 4.46/4.63 tff(3415,plain,
% 4.46/4.63 (~(mult(mult(a, mult(b, a)), c) = mult(a, mult(mult(b, a), c)))),
% 4.46/4.63 inference(unit_resolution,[status(thm)],[3414, 3391, 3390, 3220, 99, 2082, 3355, 3149, 3275, 2941, 3152])).
% 4.46/4.63 tff(3416,plain,
% 4.46/4.63 (~(mult(mult(a, mult(a, b)), c) = mult(a, mult(mult(a, b), c)))),
% 4.46/4.63 inference(modus_ponens,[status(thm)],[3415, 3389])).
% 4.46/4.63 tff(3417,plain,
% 4.46/4.63 (~(mult(mult(a, mult(c, b)), a) = mult(a, mult(a, mult(c, b))))),
% 4.46/4.63 inference(unit_resolution,[status(thm)],[2468, 3355, 2941, 3153, 3149, 2082])).
% 4.46/4.63 tff(3418,plain,
% 4.46/4.63 (mult(mult(a, a), mult(b, c)) = mult(a, mult(mult(b, c), a))),
% 4.46/4.63 inference(unit_resolution,[status(thm)],[653, 3284])).
% 4.46/4.63 tff(3419,plain,
% 4.46/4.63 ((~(mult(mult(a, c), mult(b, a)) = mult(a, mult(c, mult(b, a))))) | (~(mult(mult(a, mult(b, a)), c) = mult(a, mult(mult(b, a), c))))),
% 4.46/4.63 inference(unit_resolution,[status(thm)],[1395, 3415])).
% 4.46/4.63 tff(3420,plain,
% 4.46/4.63 (~((~(mult(mult(a, c), mult(b, a)) = mult(a, mult(mult(b, a), c)))) | (~(mult(mult(a, mult(b, a)), c) = mult(a, mult(c, mult(b, a))))))),
% 4.46/4.63 inference(unit_resolution,[status(thm)],[132, 3419])).
% 4.46/4.63 tff(3421,plain,
% 4.46/4.63 (mult(mult(a, c), mult(b, a)) = mult(a, mult(mult(b, a), c))),
% 4.46/4.63 inference(unit_resolution,[status(thm)],[134, 3420])).
% 4.46/4.63 tff(3422,plain,
% 4.46/4.63 (~(mult(mult(a, mult(a, b)), c) = mult(a, mult(c, mult(a, b))))),
% 4.46/4.63 inference(unit_resolution,[status(thm)],[2422, 3421, 3418, 3149, 3275, 3380, 2941, 99, 2708, 3417, 37, 731])).
% 4.46/4.63 tff(3423,plain,
% 4.46/4.63 ((~(mult(mult(a, mult(a, b)), c) = mult(a, mult(c, mult(a, b))))) | (~(mult(mult(a, c), mult(a, b)) = mult(a, mult(mult(a, b), c))))),
% 4.46/4.63 inference(unit_resolution,[status(thm)],[287, 3422])).
% 4.46/4.63 tff(3424,plain,
% 4.46/4.63 (~((~(mult(mult(a, mult(a, b)), c) = mult(a, mult(mult(a, b), c)))) | (~(mult(mult(a, c), mult(a, b)) = mult(a, mult(c, mult(a, b))))))),
% 4.46/4.63 inference(unit_resolution,[status(thm)],[292, 3423])).
% 4.46/4.63 tff(3425,plain,
% 4.46/4.63 (mult(mult(a, mult(a, b)), c) = mult(a, mult(mult(a, b), c))),
% 4.46/4.63 inference(unit_resolution,[status(thm)],[266, 3424])).
% 4.46/4.63 tff(3426,plain,
% 4.46/4.63 ($false),
% 4.46/4.63 inference(unit_resolution,[status(thm)],[3425, 3416])).
% 4.46/4.63 tff(3427,plain,(mult(mult(b, a), c) = mult(b, mult(c, a))), inference(lemma,lemma(discharge,[]))).
% 4.46/4.63 tff(3428,plain,
% 4.46/4.63 (mult(b, mult(a, c)) = mult(b, mult(c, a))),
% 4.46/4.63 inference(transitivity,[status(thm)],[748, 3427])).
% 4.46/4.63 tff(3429,plain,
% 4.46/4.63 ((mult(mult(b, c), a) = mult(b, mult(a, c))) <=> (mult(mult(b, c), a) = mult(b, mult(c, a)))),
% 4.46/4.63 inference(monotonicity,[status(thm)],[3428])).
% 4.46/4.63 tff(3430,plain,
% 4.46/4.63 ((mult(mult(b, c), a) = mult(b, mult(c, a))) <=> (mult(mult(b, c), a) = mult(b, mult(a, c)))),
% 4.46/4.63 inference(symmetry,[status(thm)],[3429])).
% 4.46/4.63 tff(3431,plain,
% 4.46/4.63 (mult(mult(b, c), a) = mult(b, mult(a, c))),
% 4.46/4.63 inference(modus_ponens,[status(thm)],[749, 3430])).
% 4.46/4.63 tff(3432,plain,
% 4.46/4.63 ($false),
% 4.46/4.63 inference(unit_resolution,[status(thm)],[734, 3431])).
% 4.46/4.63 tff(3433,plain,(mult(mult(b, c), a) = mult(b, mult(a, c))), inference(lemma,lemma(discharge,[]))).
% 4.46/4.63 tff(3434,assumption,(~(mult(mult(mult(b, a), c), a) = mult(mult(b, a), mult(a, c)))), introduced(assumption)).
% 4.46/4.63 tff(3435,plain,
% 4.46/4.63 (((~(mult(mult(mult(b, a), a), c) = mult(mult(b, a), mult(c, a)))) | (~(mult(mult(mult(b, a), c), a) = mult(mult(b, a), mult(a, c))))) | (mult(mult(mult(b, a), c), a) = mult(mult(b, a), mult(a, c)))),
% 4.46/4.63 inference(tautology,[status(thm)],[])).
% 4.46/4.63 tff(3436,plain,
% 4.46/4.63 ((~(mult(mult(mult(b, a), a), c) = mult(mult(b, a), mult(c, a)))) | (~(mult(mult(mult(b, a), c), a) = mult(mult(b, a), mult(a, c))))),
% 4.46/4.63 inference(unit_resolution,[status(thm)],[3435, 3434])).
% 4.46/4.63 tff(3437,plain,
% 4.46/4.63 (((~![X0: $i, X1: $i, X2: $i] : ((~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X2, X1)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X1, X2)))))) | (~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X1, X2)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X2, X1)))))))) | ((~((~(mult(mult(mult(b, a), a), c) = mult(mult(b, a), mult(c, a)))) | (~(mult(mult(mult(b, a), c), a) = mult(mult(b, a), mult(a, c)))))) | (~((~(mult(mult(mult(b, a), a), c) = mult(mult(b, a), mult(a, c)))) | (~(mult(mult(mult(b, a), c), a) = mult(mult(b, a), mult(c, a)))))))) <=> ((~![X0: $i, X1: $i, X2: $i] : ((~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X2, X1)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X1, X2)))))) | (~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X1, X2)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X2, X1)))))))) | (~((~(mult(mult(mult(b, a), a), c) = mult(mult(b, a), mult(c, a)))) | (~(mult(mult(mult(b, a), c), a) = mult(mult(b, a), mult(a, c)))))) | (~((~(mult(mult(mult(b, a), a), c) = mult(mult(b, a), mult(a, c)))) | (~(mult(mult(mult(b, a), c), a) = mult(mult(b, a), mult(c, a)))))))),
% 4.46/4.63 inference(rewrite,[status(thm)],[])).
% 4.46/4.63 tff(3438,plain,
% 4.46/4.63 ((~![X0: $i, X1: $i, X2: $i] : ((~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X2, X1)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X1, X2)))))) | (~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X1, X2)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X2, X1)))))))) | ((~((~(mult(mult(mult(b, a), a), c) = mult(mult(b, a), mult(c, a)))) | (~(mult(mult(mult(b, a), c), a) = mult(mult(b, a), mult(a, c)))))) | (~((~(mult(mult(mult(b, a), a), c) = mult(mult(b, a), mult(a, c)))) | (~(mult(mult(mult(b, a), c), a) = mult(mult(b, a), mult(c, a)))))))),
% 4.46/4.63 inference(quant_inst,[status(thm)],[])).
% 4.46/4.63 tff(3439,plain,
% 4.46/4.63 ((~![X0: $i, X1: $i, X2: $i] : ((~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X2, X1)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X1, X2)))))) | (~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X1, X2)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X2, X1)))))))) | (~((~(mult(mult(mult(b, a), a), c) = mult(mult(b, a), mult(c, a)))) | (~(mult(mult(mult(b, a), c), a) = mult(mult(b, a), mult(a, c)))))) | (~((~(mult(mult(mult(b, a), a), c) = mult(mult(b, a), mult(a, c)))) | (~(mult(mult(mult(b, a), c), a) = mult(mult(b, a), mult(c, a))))))),
% 4.46/4.63 inference(modus_ponens,[status(thm)],[3438, 3437])).
% 4.46/4.63 tff(3440,plain,
% 4.46/4.63 ((~((~(mult(mult(mult(b, a), a), c) = mult(mult(b, a), mult(c, a)))) | (~(mult(mult(mult(b, a), c), a) = mult(mult(b, a), mult(a, c)))))) | (~((~(mult(mult(mult(b, a), a), c) = mult(mult(b, a), mult(a, c)))) | (~(mult(mult(mult(b, a), c), a) = mult(mult(b, a), mult(c, a))))))),
% 4.46/4.63 inference(unit_resolution,[status(thm)],[3439, 30])).
% 4.46/4.63 tff(3441,plain,
% 4.46/4.63 (~((~(mult(mult(mult(b, a), a), c) = mult(mult(b, a), mult(a, c)))) | (~(mult(mult(mult(b, a), c), a) = mult(mult(b, a), mult(c, a)))))),
% 4.46/4.63 inference(unit_resolution,[status(thm)],[3440, 3436])).
% 4.46/4.63 tff(3442,plain,
% 4.46/4.63 (((~(mult(mult(mult(b, a), a), c) = mult(mult(b, a), mult(a, c)))) | (~(mult(mult(mult(b, a), c), a) = mult(mult(b, a), mult(c, a))))) | (mult(mult(mult(b, a), c), a) = mult(mult(b, a), mult(c, a)))),
% 4.46/4.63 inference(tautology,[status(thm)],[])).
% 4.46/4.63 tff(3443,plain,
% 4.46/4.63 (mult(mult(mult(b, a), c), a) = mult(mult(b, a), mult(c, a))),
% 4.46/4.63 inference(unit_resolution,[status(thm)],[3442, 3441])).
% 4.46/4.63 tff(3444,plain,
% 4.46/4.63 ((~![B: $i, A: $i] : (rd(mult(A, B), B) = A)) | (rd(mult(mult(a, c), a), a) = mult(a, c))),
% 4.46/4.63 inference(quant_inst,[status(thm)],[])).
% 4.46/4.63 tff(3445,plain,
% 4.46/4.63 (rd(mult(mult(a, c), a), a) = mult(a, c)),
% 4.46/4.63 inference(unit_resolution,[status(thm)],[3444, 72])).
% 4.46/4.63 tff(3446,plain,
% 4.46/4.63 ((~![B: $i, A: $i] : (ld(A, mult(A, B)) = B)) | (ld(b, mult(b, mult(mult(a, c), a))) = mult(mult(a, c), a))),
% 4.46/4.63 inference(quant_inst,[status(thm)],[])).
% 4.46/4.63 tff(3447,plain,
% 4.46/4.63 (ld(b, mult(b, mult(mult(a, c), a))) = mult(mult(a, c), a)),
% 4.46/4.63 inference(unit_resolution,[status(thm)],[3446, 9])).
% 4.46/4.63 tff(3448,assumption,(mult(mult(b, a), c) = mult(b, mult(c, a))), introduced(assumption)).
% 4.46/4.63 tff(3449,assumption,(mult(mult(b, c), a) = mult(b, mult(a, c))), introduced(assumption)).
% 4.46/4.63 tff(3450,assumption,(~(mult(mult(b, c), a) = mult(b, mult(c, a)))), introduced(assumption)).
% 4.46/4.63 tff(3451,plain,
% 4.46/4.63 ((~![B: $i, A: $i] : (rd(mult(A, B), B) = A)) | (rd(mult(mult(c, a), a), a) = mult(c, a))),
% 4.46/4.63 inference(quant_inst,[status(thm)],[])).
% 4.46/4.63 tff(3452,plain,
% 4.46/4.63 (rd(mult(mult(c, a), a), a) = mult(c, a)),
% 4.46/4.63 inference(unit_resolution,[status(thm)],[3451, 72])).
% 4.46/4.63 tff(3453,assumption,(~((~(mult(mult(b, a), mult(c, a)) = mult(b, mult(a, mult(c, a))))) | (~(mult(mult(b, mult(c, a)), a) = mult(b, mult(mult(c, a), a)))))), introduced(assumption)).
% 4.46/4.63 tff(3454,plain,
% 4.46/4.63 (((~(mult(mult(b, a), mult(c, a)) = mult(b, mult(a, mult(c, a))))) | (~(mult(mult(b, mult(c, a)), a) = mult(b, mult(mult(c, a), a))))) | (mult(mult(b, mult(c, a)), a) = mult(b, mult(mult(c, a), a)))),
% 4.46/4.63 inference(tautology,[status(thm)],[])).
% 4.46/4.63 tff(3455,plain,
% 4.46/4.63 (mult(mult(b, mult(c, a)), a) = mult(b, mult(mult(c, a), a))),
% 4.46/4.63 inference(unit_resolution,[status(thm)],[3454, 3453])).
% 4.46/4.63 tff(3456,plain,
% 4.46/4.63 (mult(b, mult(c, a)) = mult(mult(b, a), c)),
% 4.46/4.63 inference(symmetry,[status(thm)],[3448])).
% 4.46/4.63 tff(3457,plain,
% 4.46/4.63 (mult(mult(b, mult(c, a)), a) = mult(mult(mult(b, a), c), a)),
% 4.46/4.63 inference(monotonicity,[status(thm)],[3456])).
% 4.46/4.63 tff(3458,plain,
% 4.46/4.63 (mult(mult(mult(b, a), c), a) = mult(mult(b, mult(c, a)), a)),
% 4.46/4.63 inference(symmetry,[status(thm)],[3457])).
% 4.46/4.63 tff(3459,plain,
% 4.46/4.63 (mult(b, mult(mult(a, c), a)) = mult(b, mult(mult(c, a), a))),
% 4.46/4.63 inference(transitivity,[status(thm)],[863, 3458, 3455])).
% 4.46/4.63 tff(3460,plain,
% 4.46/4.63 (ld(b, mult(b, mult(mult(a, c), a))) = ld(b, mult(b, mult(mult(c, a), a)))),
% 4.46/4.63 inference(monotonicity,[status(thm)],[3459])).
% 4.46/4.63 tff(3461,plain,
% 4.46/4.63 (ld(b, mult(b, mult(mult(c, a), a))) = ld(b, mult(b, mult(mult(a, c), a)))),
% 4.46/4.63 inference(symmetry,[status(thm)],[3460])).
% 4.46/4.63 tff(3462,plain,
% 4.46/4.63 ((~![B: $i, A: $i] : (ld(A, mult(A, B)) = B)) | (ld(b, mult(b, mult(mult(c, a), a))) = mult(mult(c, a), a))),
% 4.46/4.63 inference(quant_inst,[status(thm)],[])).
% 4.46/4.63 tff(3463,plain,
% 4.46/4.63 (ld(b, mult(b, mult(mult(c, a), a))) = mult(mult(c, a), a)),
% 4.46/4.63 inference(unit_resolution,[status(thm)],[3462, 9])).
% 4.46/4.63 tff(3464,plain,
% 4.46/4.63 (mult(mult(c, a), a) = ld(b, mult(b, mult(mult(c, a), a)))),
% 4.46/4.63 inference(symmetry,[status(thm)],[3463])).
% 4.46/4.63 tff(3465,plain,
% 4.46/4.63 (mult(mult(c, a), a) = mult(mult(a, c), a)),
% 4.46/4.63 inference(transitivity,[status(thm)],[3464, 3461, 3447])).
% 4.46/4.63 tff(3466,plain,
% 4.46/4.63 (rd(mult(mult(c, a), a), a) = rd(mult(mult(a, c), a), a)),
% 4.46/4.63 inference(monotonicity,[status(thm)],[3465])).
% 4.46/4.63 tff(3467,plain,
% 4.46/4.63 (rd(mult(mult(a, c), a), a) = rd(mult(mult(c, a), a), a)),
% 4.46/4.63 inference(symmetry,[status(thm)],[3466])).
% 4.46/4.63 tff(3468,plain,
% 4.46/4.63 (mult(a, c) = rd(mult(mult(a, c), a), a)),
% 4.46/4.63 inference(symmetry,[status(thm)],[3445])).
% 4.46/4.63 tff(3469,plain,
% 4.46/4.63 (mult(a, c) = mult(c, a)),
% 4.46/4.63 inference(transitivity,[status(thm)],[3468, 3467, 3452])).
% 4.46/4.63 tff(3470,plain,
% 4.46/4.63 (mult(b, mult(a, c)) = mult(b, mult(c, a))),
% 4.46/4.63 inference(monotonicity,[status(thm)],[3469])).
% 4.46/4.63 tff(3471,plain,
% 4.46/4.63 (mult(mult(b, c), a) = mult(b, mult(c, a))),
% 4.46/4.63 inference(transitivity,[status(thm)],[3449, 3470])).
% 4.46/4.63 tff(3472,plain,
% 4.46/4.63 ($false),
% 4.46/4.63 inference(unit_resolution,[status(thm)],[3450, 3471])).
% 4.46/4.63 tff(3473,plain,(((~(mult(mult(b, a), mult(c, a)) = mult(b, mult(a, mult(c, a))))) | (~(mult(mult(b, mult(c, a)), a) = mult(b, mult(mult(c, a), a))))) | (mult(mult(b, c), a) = mult(b, mult(c, a))) | (~(mult(mult(b, c), a) = mult(b, mult(a, c)))) | (~(mult(mult(b, a), c) = mult(b, mult(c, a))))), inference(lemma,lemma(discharge,[]))).
% 4.46/4.63 tff(3474,plain,
% 4.46/4.63 ((~(mult(mult(b, a), mult(c, a)) = mult(b, mult(a, mult(c, a))))) | (~(mult(mult(b, mult(c, a)), a) = mult(b, mult(mult(c, a), a))))),
% 4.46/4.63 inference(unit_resolution,[status(thm)],[3473, 3450, 3449, 3448])).
% 4.46/4.63 tff(3475,assumption,((~(mult(mult(b, a), mult(c, a)) = mult(b, mult(a, mult(c, a))))) | (~(mult(mult(b, mult(c, a)), a) = mult(b, mult(mult(c, a), a))))), introduced(assumption)).
% 4.46/4.63 tff(3476,assumption,(~(mult(mult(b, mult(c, a)), a) = mult(b, mult(a, mult(c, a))))), introduced(assumption)).
% 4.46/4.63 tff(3477,assumption,(~(mult(mult(b, a), mult(c, a)) = mult(b, mult(a, mult(c, a))))), introduced(assumption)).
% 4.46/4.63 tff(3478,plain,
% 4.46/4.63 ((~(mult(mult(b, mult(c, a)), a) = mult(b, mult(mult(c, a), a)))) | (~(mult(mult(b, a), mult(c, a)) = mult(b, mult(a, mult(c, a)))))),
% 4.46/4.63 inference(unit_resolution,[status(thm)],[876, 3477])).
% 4.46/4.63 tff(3479,plain,
% 4.46/4.63 ((~(mult(mult(b, mult(c, a)), a) = mult(b, mult(a, mult(c, a))))) | (~(mult(mult(b, a), mult(c, a)) = mult(b, mult(mult(c, a), a))))),
% 4.46/4.63 inference(unit_resolution,[status(thm)],[883, 3476])).
% 4.46/4.63 tff(3480,plain,
% 4.46/4.63 ($false),
% 4.46/4.63 inference(unit_resolution,[status(thm)],[880, 30, 3479, 3478])).
% 4.46/4.63 tff(3481,plain,((mult(mult(b, a), mult(c, a)) = mult(b, mult(a, mult(c, a)))) | (mult(mult(b, mult(c, a)), a) = mult(b, mult(a, mult(c, a))))), inference(lemma,lemma(discharge,[]))).
% 4.46/4.63 tff(3482,plain,
% 4.46/4.63 (mult(mult(b, a), mult(c, a)) = mult(b, mult(a, mult(c, a)))),
% 4.46/4.63 inference(unit_resolution,[status(thm)],[3481, 3476])).
% 4.46/4.63 tff(3483,plain,
% 4.46/4.63 ((~((~(mult(mult(b, a), mult(c, a)) = mult(b, mult(a, mult(c, a))))) | (~(mult(mult(b, mult(c, a)), a) = mult(b, mult(mult(c, a), a)))))) | (~(mult(mult(b, a), mult(c, a)) = mult(b, mult(a, mult(c, a))))) | (~(mult(mult(b, mult(c, a)), a) = mult(b, mult(mult(c, a), a))))),
% 4.46/4.63 inference(tautology,[status(thm)],[])).
% 4.46/4.63 tff(3484,plain,
% 4.46/4.63 (~(mult(mult(b, mult(c, a)), a) = mult(b, mult(mult(c, a), a)))),
% 4.46/4.63 inference(unit_resolution,[status(thm)],[3483, 3482, 3475])).
% 4.46/4.63 tff(3485,plain,
% 4.46/4.63 (((~(mult(mult(b, mult(c, a)), a) = mult(b, mult(mult(c, a), a)))) | (~(mult(mult(b, a), mult(c, a)) = mult(b, mult(a, mult(c, a)))))) | (mult(mult(b, mult(c, a)), a) = mult(b, mult(mult(c, a), a)))),
% 4.46/4.63 inference(tautology,[status(thm)],[])).
% 4.46/4.63 tff(3486,plain,
% 4.46/4.63 ((~(mult(mult(b, mult(c, a)), a) = mult(b, mult(mult(c, a), a)))) | (~(mult(mult(b, a), mult(c, a)) = mult(b, mult(a, mult(c, a)))))),
% 4.46/4.63 inference(unit_resolution,[status(thm)],[3485, 3484])).
% 4.46/4.63 tff(3487,plain,
% 4.46/4.63 ($false),
% 4.46/4.63 inference(unit_resolution,[status(thm)],[880, 30, 3479, 3486])).
% 4.46/4.63 tff(3488,plain,((mult(mult(b, mult(c, a)), a) = mult(b, mult(a, mult(c, a)))) | (~((~(mult(mult(b, a), mult(c, a)) = mult(b, mult(a, mult(c, a))))) | (~(mult(mult(b, mult(c, a)), a) = mult(b, mult(mult(c, a), a))))))), inference(lemma,lemma(discharge,[]))).
% 4.46/4.63 tff(3489,plain,
% 4.46/4.63 (mult(mult(b, mult(c, a)), a) = mult(b, mult(a, mult(c, a)))),
% 4.46/4.63 inference(unit_resolution,[status(thm)],[3488, 3474])).
% 4.46/4.63 tff(3490,plain,
% 4.46/4.63 (mult(mult(mult(b, a), c), a) = mult(mult(b, mult(c, a)), a)),
% 4.46/4.63 inference(monotonicity,[status(thm)],[3448])).
% 4.46/4.63 tff(3491,plain,
% 4.46/4.63 (mult(b, mult(mult(a, c), a)) = mult(b, mult(a, mult(c, a)))),
% 4.46/4.63 inference(transitivity,[status(thm)],[863, 3490, 3489])).
% 4.46/4.63 tff(3492,plain,
% 4.46/4.63 (ld(b, mult(b, mult(mult(a, c), a))) = ld(b, mult(b, mult(a, mult(c, a))))),
% 4.46/4.64 inference(monotonicity,[status(thm)],[3491])).
% 4.46/4.64 tff(3493,plain,
% 4.46/4.64 (ld(b, mult(b, mult(a, mult(c, a)))) = ld(b, mult(b, mult(mult(a, c), a)))),
% 4.46/4.64 inference(symmetry,[status(thm)],[3492])).
% 4.46/4.64 tff(3494,assumption,(mult(mult(mult(b, a), c), a) = mult(mult(b, a), mult(c, a))), introduced(assumption)).
% 4.46/4.64 tff(3495,plain,
% 4.46/4.64 (mult(mult(b, a), mult(c, a)) = mult(mult(mult(b, a), c), a)),
% 4.46/4.64 inference(symmetry,[status(thm)],[3494])).
% 4.46/4.64 tff(3496,plain,
% 4.46/4.64 (((~![X0: $i, X1: $i, X2: $i] : ((~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X2, X1)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X1, X2)))))) | (~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X1, X2)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X2, X1)))))))) | ((~((~(mult(mult(b, a), mult(c, a)) = mult(b, mult(mult(c, a), a)))) | (~(mult(mult(b, mult(c, a)), a) = mult(b, mult(a, mult(c, a))))))) | (~((~(mult(mult(b, a), mult(c, a)) = mult(b, mult(a, mult(c, a))))) | (~(mult(mult(b, mult(c, a)), a) = mult(b, mult(mult(c, a), a)))))))) <=> ((~![X0: $i, X1: $i, X2: $i] : ((~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X2, X1)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X1, X2)))))) | (~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X1, X2)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X2, X1)))))))) | (~((~(mult(mult(b, a), mult(c, a)) = mult(b, mult(mult(c, a), a)))) | (~(mult(mult(b, mult(c, a)), a) = mult(b, mult(a, mult(c, a))))))) | (~((~(mult(mult(b, a), mult(c, a)) = mult(b, mult(a, mult(c, a))))) | (~(mult(mult(b, mult(c, a)), a) = mult(b, mult(mult(c, a), a)))))))),
% 4.46/4.64 inference(rewrite,[status(thm)],[])).
% 4.46/4.64 tff(3497,plain,
% 4.46/4.64 ((~![X0: $i, X1: $i, X2: $i] : ((~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X2, X1)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X1, X2)))))) | (~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X1, X2)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X2, X1)))))))) | ((~((~(mult(mult(b, a), mult(c, a)) = mult(b, mult(mult(c, a), a)))) | (~(mult(mult(b, mult(c, a)), a) = mult(b, mult(a, mult(c, a))))))) | (~((~(mult(mult(b, a), mult(c, a)) = mult(b, mult(a, mult(c, a))))) | (~(mult(mult(b, mult(c, a)), a) = mult(b, mult(mult(c, a), a)))))))),
% 4.46/4.64 inference(quant_inst,[status(thm)],[])).
% 4.46/4.64 tff(3498,plain,
% 4.46/4.64 ((~![X0: $i, X1: $i, X2: $i] : ((~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X2, X1)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X1, X2)))))) | (~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X1, X2)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X2, X1)))))))) | (~((~(mult(mult(b, a), mult(c, a)) = mult(b, mult(mult(c, a), a)))) | (~(mult(mult(b, mult(c, a)), a) = mult(b, mult(a, mult(c, a))))))) | (~((~(mult(mult(b, a), mult(c, a)) = mult(b, mult(a, mult(c, a))))) | (~(mult(mult(b, mult(c, a)), a) = mult(b, mult(mult(c, a), a))))))),
% 4.46/4.64 inference(modus_ponens,[status(thm)],[3497, 3496])).
% 4.46/4.64 tff(3499,plain,
% 4.46/4.64 ((~((~(mult(mult(b, a), mult(c, a)) = mult(b, mult(mult(c, a), a)))) | (~(mult(mult(b, mult(c, a)), a) = mult(b, mult(a, mult(c, a))))))) | (~((~(mult(mult(b, a), mult(c, a)) = mult(b, mult(a, mult(c, a))))) | (~(mult(mult(b, mult(c, a)), a) = mult(b, mult(mult(c, a), a))))))),
% 4.46/4.64 inference(unit_resolution,[status(thm)],[3498, 30])).
% 4.46/4.64 tff(3500,plain,
% 4.46/4.64 (~((~(mult(mult(b, a), mult(c, a)) = mult(b, mult(mult(c, a), a)))) | (~(mult(mult(b, mult(c, a)), a) = mult(b, mult(a, mult(c, a))))))),
% 4.46/4.64 inference(unit_resolution,[status(thm)],[3499, 3474])).
% 4.46/4.64 tff(3501,plain,
% 4.46/4.64 (((~(mult(mult(b, a), mult(c, a)) = mult(b, mult(mult(c, a), a)))) | (~(mult(mult(b, mult(c, a)), a) = mult(b, mult(a, mult(c, a)))))) | (mult(mult(b, a), mult(c, a)) = mult(b, mult(mult(c, a), a)))),
% 4.46/4.64 inference(tautology,[status(thm)],[])).
% 4.46/4.64 tff(3502,plain,
% 4.46/4.64 (mult(mult(b, a), mult(c, a)) = mult(b, mult(mult(c, a), a))),
% 4.46/4.64 inference(unit_resolution,[status(thm)],[3501, 3500])).
% 4.46/4.64 tff(3503,plain,
% 4.46/4.64 (mult(b, mult(mult(c, a), a)) = mult(mult(b, a), mult(c, a))),
% 4.46/4.64 inference(symmetry,[status(thm)],[3502])).
% 4.46/4.64 tff(3504,plain,
% 4.46/4.64 (mult(b, mult(mult(c, a), a)) = mult(b, mult(a, mult(c, a)))),
% 4.46/4.64 inference(transitivity,[status(thm)],[3503, 3495, 3490, 3489])).
% 4.46/4.64 tff(3505,plain,
% 4.46/4.64 (ld(b, mult(b, mult(mult(c, a), a))) = ld(b, mult(b, mult(a, mult(c, a))))),
% 4.46/4.64 inference(monotonicity,[status(thm)],[3504])).
% 4.46/4.64 tff(3506,plain,
% 4.46/4.64 (mult(mult(c, a), a) = mult(mult(a, c), a)),
% 4.46/4.64 inference(transitivity,[status(thm)],[3464, 3505, 3493, 3447])).
% 4.46/4.64 tff(3507,plain,
% 4.46/4.64 (rd(mult(mult(c, a), a), a) = rd(mult(mult(a, c), a), a)),
% 4.46/4.64 inference(monotonicity,[status(thm)],[3506])).
% 4.46/4.64 tff(3508,plain,
% 4.46/4.64 (mult(c, a) = rd(mult(mult(c, a), a), a)),
% 4.46/4.64 inference(symmetry,[status(thm)],[3452])).
% 4.46/4.64 tff(3509,plain,
% 4.46/4.64 (mult(c, a) = mult(a, c)),
% 4.46/4.64 inference(transitivity,[status(thm)],[3508, 3507, 3445])).
% 4.46/4.64 tff(3510,plain,
% 4.46/4.64 (mult(b, mult(c, a)) = mult(b, mult(a, c))),
% 4.46/4.64 inference(monotonicity,[status(thm)],[3509])).
% 4.46/4.64 tff(3511,plain,
% 4.46/4.64 (mult(b, mult(a, c)) = mult(b, mult(c, a))),
% 4.46/4.64 inference(symmetry,[status(thm)],[3510])).
% 4.46/4.64 tff(3512,plain,
% 4.46/4.64 (mult(mult(b, c), a) = mult(b, mult(c, a))),
% 4.46/4.64 inference(transitivity,[status(thm)],[3449, 3511])).
% 4.46/4.64 tff(3513,plain,
% 4.46/4.64 ($false),
% 4.46/4.64 inference(unit_resolution,[status(thm)],[3450, 3512])).
% 4.46/4.64 tff(3514,plain,((~(mult(mult(mult(b, a), c), a) = mult(mult(b, a), mult(c, a)))) | (mult(mult(b, c), a) = mult(b, mult(c, a))) | (~(mult(mult(b, c), a) = mult(b, mult(a, c)))) | (~(mult(mult(b, a), c) = mult(b, mult(c, a))))), inference(lemma,lemma(discharge,[]))).
% 4.46/4.64 tff(3515,plain,
% 4.46/4.64 ((~(mult(mult(mult(b, a), c), a) = mult(mult(b, a), mult(c, a)))) | (mult(mult(b, c), a) = mult(b, mult(c, a))) | (~(mult(mult(b, c), a) = mult(b, mult(a, c))))),
% 4.46/4.64 inference(unit_resolution,[status(thm)],[3514, 3427])).
% 4.46/4.64 tff(3516,plain,
% 4.46/4.64 ((~(mult(mult(mult(b, a), c), a) = mult(mult(b, a), mult(c, a)))) | (mult(mult(b, c), a) = mult(b, mult(c, a)))),
% 4.46/4.64 inference(unit_resolution,[status(thm)],[3515, 3433])).
% 4.46/4.64 tff(3517,plain,
% 4.46/4.64 (mult(mult(b, c), a) = mult(b, mult(c, a))),
% 4.46/4.64 inference(unit_resolution,[status(thm)],[3516, 3443])).
% 4.46/4.64 tff(3518,plain,
% 4.46/4.64 (mult(b, mult(c, a)) = mult(mult(b, c), a)),
% 4.46/4.64 inference(symmetry,[status(thm)],[3517])).
% 4.46/4.64 tff(3519,plain,
% 4.46/4.64 (mult(b, mult(c, a)) = mult(b, mult(a, c))),
% 4.46/4.64 inference(transitivity,[status(thm)],[3518, 3433])).
% 4.46/4.64 tff(3520,plain,
% 4.46/4.64 (ld(b, mult(b, mult(c, a))) = ld(b, mult(b, mult(a, c)))),
% 4.46/4.64 inference(monotonicity,[status(thm)],[3519])).
% 4.46/4.64 tff(3521,plain,
% 4.46/4.64 (ld(b, mult(b, mult(a, c))) = ld(b, mult(b, mult(c, a)))),
% 4.46/4.64 inference(symmetry,[status(thm)],[3520])).
% 4.46/4.64 tff(3522,plain,
% 4.46/4.64 ((~![B: $i, A: $i] : (ld(A, mult(A, B)) = B)) | (ld(b, mult(b, mult(a, c))) = mult(a, c))),
% 4.46/4.64 inference(quant_inst,[status(thm)],[])).
% 4.46/4.64 tff(3523,plain,
% 4.46/4.64 (ld(b, mult(b, mult(a, c))) = mult(a, c)),
% 4.46/4.64 inference(unit_resolution,[status(thm)],[3522, 9])).
% 4.46/4.64 tff(3524,plain,
% 4.46/4.64 (mult(a, c) = ld(b, mult(b, mult(a, c)))),
% 4.46/4.64 inference(symmetry,[status(thm)],[3523])).
% 4.46/4.64 tff(3525,plain,
% 4.46/4.64 (mult(a, c) = mult(c, a)),
% 4.46/4.64 inference(transitivity,[status(thm)],[3524, 3521, 11])).
% 4.46/4.64 tff(3526,plain,
% 4.46/4.64 (mult(mult(b, a), mult(a, c)) = mult(mult(b, a), mult(c, a))),
% 4.46/4.64 inference(monotonicity,[status(thm)],[3525])).
% 4.46/4.64 tff(3527,plain,
% 4.46/4.64 (mult(mult(b, a), mult(c, a)) = mult(mult(b, a), mult(a, c))),
% 4.46/4.64 inference(symmetry,[status(thm)],[3526])).
% 4.46/4.64 tff(3528,plain,
% 4.46/4.64 (mult(mult(mult(b, a), c), a) = mult(mult(b, a), mult(a, c))),
% 4.46/4.64 inference(transitivity,[status(thm)],[3443, 3527])).
% 4.46/4.64 tff(3529,plain,
% 4.46/4.64 ($false),
% 4.46/4.64 inference(unit_resolution,[status(thm)],[3434, 3528])).
% 4.46/4.64 tff(3530,plain,(mult(mult(mult(b, a), c), a) = mult(mult(b, a), mult(a, c))), inference(lemma,lemma(discharge,[]))).
% 4.46/4.64 tff(3531,plain,
% 4.46/4.64 (mult(b, mult(c, a)) = mult(mult(b, a), c)),
% 4.46/4.64 inference(symmetry,[status(thm)],[3427])).
% 4.46/4.64 tff(3532,plain,
% 4.46/4.64 (mult(mult(b, mult(c, a)), a) = mult(mult(mult(b, a), c), a)),
% 4.46/4.64 inference(monotonicity,[status(thm)],[3531])).
% 4.46/4.64 tff(3533,plain,
% 4.46/4.64 (mult(mult(b, mult(c, a)), a) = mult(mult(b, a), mult(a, c))),
% 4.46/4.64 inference(transitivity,[status(thm)],[3532, 3530])).
% 4.46/4.64 tff(3534,plain,
% 4.46/4.64 (mult(mult(mult(b, mult(c, a)), a), mult(b, a)) = mult(mult(mult(b, a), mult(a, c)), mult(b, a))),
% 4.46/4.64 inference(monotonicity,[status(thm)],[3533])).
% 4.46/4.64 tff(3535,plain,
% 4.46/4.64 (mult(mult(mult(b, a), mult(a, c)), mult(b, a)) = mult(mult(mult(b, mult(c, a)), a), mult(b, a))),
% 4.46/4.64 inference(symmetry,[status(thm)],[3534])).
% 4.46/4.64 tff(3536,plain,
% 4.46/4.64 ((mult(a, mult(a, b)) = mult(mult(a, a), b)) <=> (mult(mult(a, a), b) = mult(a, mult(a, b)))),
% 4.46/4.64 inference(commutativity,[status(thm)],[])).
% 4.46/4.64 tff(3537,assumption,(~(mult(mult(a, b), a) = mult(a, mult(b, a)))), introduced(assumption)).
% 4.46/4.64 tff(3538,plain,
% 4.46/4.64 ((~(mult(mult(a, a), b) = mult(a, mult(a, b)))) | (~(mult(mult(a, b), a) = mult(a, mult(b, a))))),
% 4.46/4.64 inference(unit_resolution,[status(thm)],[232, 3537])).
% 4.46/4.64 tff(3539,plain,
% 4.46/4.64 (~((~(mult(mult(a, a), b) = mult(a, mult(b, a)))) | (~(mult(mult(a, b), a) = mult(a, mult(a, b)))))),
% 4.46/4.64 inference(unit_resolution,[status(thm)],[244, 3538])).
% 4.46/4.64 tff(3540,plain,
% 4.46/4.64 (mult(mult(a, a), b) = mult(a, mult(b, a))),
% 4.46/4.64 inference(unit_resolution,[status(thm)],[308, 3539])).
% 4.46/4.64 tff(3541,plain,
% 4.46/4.64 (mult(a, mult(b, a)) = mult(mult(a, a), b)),
% 4.46/4.64 inference(symmetry,[status(thm)],[3540])).
% 4.46/4.64 tff(3542,plain,
% 4.46/4.64 (mult(mult(a, b), a) = mult(a, mult(a, b))),
% 4.46/4.64 inference(unit_resolution,[status(thm)],[246, 3539])).
% 4.46/4.64 tff(3543,plain,
% 4.46/4.64 ((mult(mult(a, b), a) = mult(a, mult(b, a))) <=> (mult(a, mult(a, b)) = mult(mult(a, a), b))),
% 4.46/4.64 inference(monotonicity,[status(thm)],[3542, 3541])).
% 4.46/4.64 tff(3544,plain,
% 4.46/4.64 ((mult(mult(a, b), a) = mult(a, mult(b, a))) <=> (mult(mult(a, a), b) = mult(a, mult(a, b)))),
% 4.46/4.64 inference(transitivity,[status(thm)],[3543, 3536])).
% 4.46/4.64 tff(3545,plain,
% 4.46/4.64 ((mult(mult(a, a), b) = mult(a, mult(a, b))) <=> (mult(mult(a, b), a) = mult(a, mult(b, a)))),
% 4.46/4.64 inference(symmetry,[status(thm)],[3544])).
% 4.46/4.64 tff(3546,plain,
% 4.46/4.64 ((~![B: $i, A: $i] : (rd(mult(A, B), B) = A)) | (rd(mult(mult(mult(a, c), mult(b, a)), b), b) = mult(mult(a, c), mult(b, a)))),
% 4.46/4.64 inference(quant_inst,[status(thm)],[])).
% 4.46/4.64 tff(3547,plain,
% 4.46/4.64 (rd(mult(mult(mult(a, c), mult(b, a)), b), b) = mult(mult(a, c), mult(b, a))),
% 4.46/4.64 inference(unit_resolution,[status(thm)],[3546, 72])).
% 4.46/4.64 tff(3548,plain,
% 4.46/4.64 (mult(mult(mult(a, c), mult(a, b)), a) = mult(mult(a, c), mult(mult(a, b), a))),
% 4.46/4.64 inference(unit_resolution,[status(thm)],[1564, 2835])).
% 4.46/4.64 tff(3549,plain,
% 4.46/4.64 (mult(mult(mult(a, c), b), a) = mult(mult(a, c), mult(b, a))),
% 4.46/4.64 inference(unit_resolution,[status(thm)],[1542, 3548])).
% 4.46/4.64 tff(3550,plain,
% 4.46/4.64 ((~![C: $i, B: $i, A: $i] : (mult(mult(mult(A, B), C), B) = mult(A, mult(mult(B, C), B)))) | (mult(mult(mult(mult(a, c), b), a), b) = mult(mult(a, c), mult(mult(b, a), b)))),
% 4.46/4.64 inference(quant_inst,[status(thm)],[])).
% 4.46/4.64 tff(3551,plain,
% 4.46/4.64 (mult(mult(mult(mult(a, c), b), a), b) = mult(mult(a, c), mult(mult(b, a), b))),
% 4.46/4.64 inference(unit_resolution,[status(thm)],[3550, 860])).
% 4.46/4.64 tff(3552,plain,
% 4.46/4.64 (mult(mult(mult(mult(a, c), b), a), b) = mult(mult(mult(a, c), mult(b, a)), b)),
% 4.46/4.64 inference(monotonicity,[status(thm)],[93])).
% 4.46/4.64 tff(3553,plain,
% 4.46/4.64 (mult(mult(mult(a, c), mult(b, a)), b) = mult(mult(mult(mult(a, c), b), a), b)),
% 4.46/4.64 inference(symmetry,[status(thm)],[3552])).
% 4.46/4.64 tff(3554,plain,
% 4.46/4.64 (mult(mult(mult(a, c), mult(b, a)), b) = mult(mult(a, c), mult(mult(b, a), b))),
% 4.46/4.64 inference(transitivity,[status(thm)],[3553, 3551])).
% 4.46/4.64 tff(3555,assumption,(~(mult(mult(mult(a, c), mult(b, a)), b) = mult(mult(a, c), mult(mult(b, a), b)))), introduced(assumption)).
% 4.46/4.64 tff(3556,plain,
% 4.46/4.64 ($false),
% 4.46/4.64 inference(unit_resolution,[status(thm)],[3555, 3554])).
% 4.46/4.64 tff(3557,plain,((mult(mult(mult(a, c), mult(b, a)), b) = mult(mult(a, c), mult(mult(b, a), b))) | (~(mult(mult(mult(a, c), b), a) = mult(mult(a, c), mult(b, a))))), inference(lemma,lemma(discharge,[]))).
% 4.46/4.64 tff(3558,plain,
% 4.46/4.64 (mult(mult(mult(a, c), mult(b, a)), b) = mult(mult(a, c), mult(mult(b, a), b))),
% 4.46/4.64 inference(unit_resolution,[status(thm)],[3557, 3549])).
% 4.46/4.64 tff(3559,plain,
% 4.46/4.64 (mult(mult(a, c), mult(mult(b, a), b)) = mult(mult(mult(a, c), mult(b, a)), b)),
% 4.46/4.64 inference(symmetry,[status(thm)],[3558])).
% 4.46/4.64 tff(3560,plain,
% 4.46/4.64 (mult(mult(mult(mult(a, c), b), a), b) = mult(mult(mult(a, c), mult(b, a)), b)),
% 4.46/4.64 inference(transitivity,[status(thm)],[3551, 3559])).
% 4.46/4.64 tff(3561,plain,
% 4.46/4.64 (rd(mult(mult(mult(mult(a, c), b), a), b), b) = rd(mult(mult(mult(a, c), mult(b, a)), b), b)),
% 4.46/4.64 inference(monotonicity,[status(thm)],[3560])).
% 4.46/4.64 tff(3562,plain,
% 4.46/4.64 ((~![B: $i, A: $i] : (rd(mult(A, B), B) = A)) | (rd(mult(mult(mult(mult(a, c), b), a), b), b) = mult(mult(mult(a, c), b), a))),
% 4.46/4.64 inference(quant_inst,[status(thm)],[])).
% 4.46/4.64 tff(3563,plain,
% 4.46/4.64 (rd(mult(mult(mult(mult(a, c), b), a), b), b) = mult(mult(mult(a, c), b), a)),
% 4.46/4.64 inference(unit_resolution,[status(thm)],[3562, 72])).
% 4.46/4.64 tff(3564,plain,
% 4.46/4.64 (mult(mult(mult(a, c), b), a) = rd(mult(mult(mult(mult(a, c), b), a), b), b)),
% 4.46/4.64 inference(symmetry,[status(thm)],[3563])).
% 4.46/4.64 tff(3565,plain,
% 4.46/4.64 (mult(mult(a, c), mult(a, b)) = mult(mult(a, c), mult(b, a))),
% 4.46/4.64 inference(transitivity,[status(thm)],[1106, 3564, 3561, 3547])).
% 4.46/4.64 tff(3566,plain,
% 4.46/4.64 (ld(mult(a, c), mult(mult(a, c), mult(a, b))) = ld(mult(a, c), mult(mult(a, c), mult(b, a)))),
% 4.46/4.64 inference(monotonicity,[status(thm)],[3565])).
% 4.46/4.64 tff(3567,plain,
% 4.46/4.64 (ld(mult(a, c), mult(mult(a, c), mult(b, a))) = ld(mult(a, c), mult(mult(a, c), mult(a, b)))),
% 4.46/4.64 inference(symmetry,[status(thm)],[3566])).
% 4.46/4.64 tff(3568,plain,
% 4.46/4.64 (mult(b, a) = mult(a, b)),
% 4.46/4.64 inference(transitivity,[status(thm)],[3339, 3567, 2368])).
% 4.46/4.64 tff(3569,plain,
% 4.46/4.64 (mult(a, mult(b, a)) = mult(a, mult(a, b))),
% 4.46/4.64 inference(monotonicity,[status(thm)],[3568])).
% 4.46/4.64 tff(3570,plain,
% 4.46/4.64 (mult(mult(a, a), b) = mult(a, mult(a, b))),
% 4.46/4.64 inference(transitivity,[status(thm)],[2846, 3569])).
% 4.46/4.64 tff(3571,plain,
% 4.46/4.64 ($false),
% 4.46/4.64 inference(unit_resolution,[status(thm)],[2832, 3570])).
% 4.46/4.64 tff(3572,plain,((~(mult(mult(mult(a, c), b), a) = mult(mult(a, c), mult(a, b)))) | (mult(mult(a, a), b) = mult(a, mult(a, b)))), inference(lemma,lemma(discharge,[]))).
% 4.46/4.64 tff(3573,plain,
% 4.46/4.64 (~(mult(mult(mult(a, c), b), a) = mult(mult(a, c), mult(a, b)))),
% 4.46/4.64 inference(unit_resolution,[status(thm)],[3572, 2832])).
% 4.46/4.64 tff(3574,plain,
% 4.46/4.64 ((mult(mult(a, c), mult(b, a)) = mult(mult(a, c), mult(a, b))) <=> (mult(mult(a, c), mult(a, b)) = mult(mult(a, c), mult(b, a)))),
% 4.46/4.64 inference(commutativity,[status(thm)],[])).
% 4.46/4.64 tff(3575,plain,
% 4.46/4.64 ((mult(mult(mult(a, c), a), b) = mult(mult(a, c), mult(a, b))) <=> (mult(mult(a, c), mult(b, a)) = mult(mult(a, c), mult(a, b)))),
% 4.46/4.64 inference(monotonicity,[status(thm)],[1362])).
% 4.46/4.64 tff(3576,plain,
% 4.46/4.64 ((mult(mult(mult(a, c), a), b) = mult(mult(a, c), mult(a, b))) <=> (mult(mult(a, c), mult(a, b)) = mult(mult(a, c), mult(b, a)))),
% 4.46/4.64 inference(transitivity,[status(thm)],[3575, 3574])).
% 4.46/4.64 tff(3577,plain,
% 4.46/4.64 ((mult(mult(a, c), mult(a, b)) = mult(mult(a, c), mult(b, a))) <=> (mult(mult(mult(a, c), a), b) = mult(mult(a, c), mult(a, b)))),
% 4.46/4.64 inference(symmetry,[status(thm)],[3576])).
% 4.46/4.64 tff(3578,assumption,(mult(mult(mult(a, c), mult(b, a)), b) = mult(mult(a, c), mult(mult(b, a), b))), introduced(assumption)).
% 4.46/4.64 tff(3579,plain,
% 4.46/4.64 (mult(mult(a, c), mult(mult(b, a), b)) = mult(mult(mult(a, c), mult(b, a)), b)),
% 4.46/4.64 inference(symmetry,[status(thm)],[3578])).
% 4.46/4.64 tff(3580,plain,
% 4.46/4.64 (mult(mult(mult(mult(a, c), b), a), b) = mult(mult(mult(a, c), mult(b, a)), b)),
% 4.46/4.64 inference(transitivity,[status(thm)],[3551, 3579])).
% 4.46/4.64 tff(3581,plain,
% 4.46/4.64 (rd(mult(mult(mult(mult(a, c), b), a), b), b) = rd(mult(mult(mult(a, c), mult(b, a)), b), b)),
% 4.46/4.64 inference(monotonicity,[status(thm)],[3580])).
% 4.46/4.64 tff(3582,plain,
% 4.46/4.64 (mult(mult(mult(a, c), b), a) = mult(mult(a, c), mult(b, a))),
% 4.46/4.64 inference(transitivity,[status(thm)],[3564, 3581, 3547])).
% 4.46/4.64 tff(3583,plain,
% 4.46/4.64 ((mult(mult(mult(a, c), b), a) = mult(mult(a, c), mult(a, b))) <=> (mult(mult(a, c), mult(b, a)) = mult(mult(a, c), mult(a, b)))),
% 4.46/4.64 inference(monotonicity,[status(thm)],[3582])).
% 4.46/4.64 tff(3584,plain,
% 4.46/4.64 ((mult(mult(mult(a, c), b), a) = mult(mult(a, c), mult(a, b))) <=> (mult(mult(a, c), mult(a, b)) = mult(mult(a, c), mult(b, a)))),
% 4.46/4.64 inference(transitivity,[status(thm)],[3583, 3574])).
% 4.46/4.64 tff(3585,plain,
% 4.46/4.64 ((mult(mult(mult(a, c), b), a) = mult(mult(a, c), mult(a, b))) <=> (mult(mult(mult(a, c), a), b) = mult(mult(a, c), mult(a, b)))),
% 4.46/4.64 inference(transitivity,[status(thm)],[3584, 3577])).
% 4.46/4.64 tff(3586,plain,
% 4.46/4.64 ((~(mult(mult(mult(a, c), b), a) = mult(mult(a, c), mult(a, b)))) <=> (~(mult(mult(mult(a, c), a), b) = mult(mult(a, c), mult(a, b))))),
% 4.46/4.64 inference(monotonicity,[status(thm)],[3585])).
% 4.46/4.64 tff(3587,plain,
% 4.46/4.64 (~(mult(mult(mult(a, c), a), b) = mult(mult(a, c), mult(a, b)))),
% 4.46/4.64 inference(modus_ponens,[status(thm)],[1226, 3586])).
% 4.46/4.64 tff(3588,plain,
% 4.46/4.64 ($false),
% 4.46/4.64 inference(unit_resolution,[status(thm)],[2236, 3587])).
% 4.46/4.64 tff(3589,plain,((mult(mult(mult(a, c), b), a) = mult(mult(a, c), mult(a, b))) | (~(mult(mult(mult(a, c), a), b) = mult(mult(a, c), mult(b, a)))) | (~(mult(mult(mult(a, c), mult(b, a)), b) = mult(mult(a, c), mult(mult(b, a), b))))), inference(lemma,lemma(discharge,[]))).
% 4.46/4.64 tff(3590,plain,
% 4.46/4.64 (~(mult(mult(mult(a, c), a), b) = mult(mult(a, c), mult(b, a)))),
% 4.46/4.64 inference(unit_resolution,[status(thm)],[3589, 3573, 3558])).
% 4.46/4.64 tff(3591,assumption,(~(mult(mult(mult(a, c), a), b) = mult(mult(a, c), mult(b, a)))), introduced(assumption)).
% 4.46/4.64 tff(3592,plain,
% 4.46/4.64 ((mult(mult(a, b), mult(a, c)) = mult(mult(mult(a, b), a), c)) <=> (mult(mult(mult(a, b), a), c) = mult(mult(a, b), mult(a, c)))),
% 4.46/4.64 inference(commutativity,[status(thm)],[])).
% 4.46/4.64 tff(3593,plain,
% 4.46/4.64 (mult(mult(a, b), c) = mult(a, mult(c, b))),
% 4.46/4.64 inference(unit_resolution,[status(thm)],[51, 1926])).
% 4.46/4.64 tff(3594,plain,
% 4.46/4.64 (mult(mult(b, mult(c, a)), a) = mult(b, mult(a, mult(c, a)))),
% 4.46/4.64 inference(unit_resolution,[status(thm)],[3488, 3475])).
% 4.46/4.64 tff(3595,plain,
% 4.46/4.64 ((mult(a, mult(c, b)) = mult(mult(a, c), b)) <=> (mult(mult(a, c), b) = mult(a, mult(c, b)))),
% 4.46/4.64 inference(commutativity,[status(thm)],[])).
% 4.46/4.64 tff(3596,plain,
% 4.46/4.64 (mult(a, mult(b, c)) = mult(mult(a, c), b)),
% 4.46/4.64 inference(symmetry,[status(thm)],[1927])).
% 4.46/4.64 tff(3597,plain,
% 4.46/4.64 ((mult(mult(a, b), c) = mult(a, mult(b, c))) <=> (mult(a, mult(c, b)) = mult(mult(a, c), b))),
% 4.46/4.64 inference(monotonicity,[status(thm)],[3593, 3596])).
% 4.46/4.64 tff(3598,plain,
% 4.46/4.64 ((mult(mult(a, b), c) = mult(a, mult(b, c))) <=> (mult(mult(a, c), b) = mult(a, mult(c, b)))),
% 4.46/4.64 inference(transitivity,[status(thm)],[3597, 3595])).
% 4.46/4.64 tff(3599,plain,
% 4.46/4.64 ((~(mult(mult(a, b), c) = mult(a, mult(b, c)))) <=> (~(mult(mult(a, c), b) = mult(a, mult(c, b))))),
% 4.46/4.64 inference(monotonicity,[status(thm)],[3598])).
% 4.46/4.64 tff(3600,plain,
% 4.46/4.64 (~(mult(mult(a, c), b) = mult(a, mult(c, b)))),
% 4.46/4.64 inference(modus_ponens,[status(thm)],[115, 3599])).
% 4.46/4.64 tff(3601,plain,
% 4.46/4.64 ((mult(mult(c, a), b) = mult(c, mult(b, a))) <=> (mult(mult(c, b), a) = mult(c, mult(b, a)))),
% 4.46/4.64 inference(symmetry,[status(thm)],[715])).
% 4.46/4.64 tff(3602,plain,
% 4.46/4.64 (mult(mult(c, a), b) = mult(c, mult(b, a))),
% 4.46/4.64 inference(unit_resolution,[status(thm)],[719, 707, 370, 106])).
% 4.46/4.64 tff(3603,plain,
% 4.46/4.64 (mult(mult(c, b), a) = mult(c, mult(b, a))),
% 4.46/4.64 inference(modus_ponens,[status(thm)],[3602, 3601])).
% 4.46/4.64 tff(3604,plain,
% 4.46/4.64 (ld(a, mult(a, mult(mult(c, a), b))) = ld(a, mult(a, mult(mult(c, b), a)))),
% 4.46/4.64 inference(symmetry,[status(thm)],[710])).
% 4.46/4.64 tff(3605,plain,
% 4.46/4.64 (mult(mult(c, a), b) = mult(c, mult(a, b))),
% 4.46/4.64 inference(unit_resolution,[status(thm)],[1598, 707, 370, 106])).
% 4.46/4.64 tff(3606,plain,
% 4.46/4.64 (mult(c, mult(a, b)) = mult(mult(c, a), b)),
% 4.46/4.64 inference(symmetry,[status(thm)],[3605])).
% 4.46/4.64 tff(3607,plain,
% 4.46/4.64 (mult(c, mult(a, b)) = mult(c, mult(b, a))),
% 4.46/4.64 inference(transitivity,[status(thm)],[3606, 210, 3604, 712, 3603])).
% 4.46/4.64 tff(3608,plain,
% 4.46/4.64 (ld(c, mult(c, mult(a, b))) = ld(c, mult(c, mult(b, a)))),
% 4.46/4.64 inference(monotonicity,[status(thm)],[3607])).
% 4.46/4.64 tff(3609,plain,
% 4.46/4.64 (ld(c, mult(c, mult(b, a))) = ld(c, mult(c, mult(a, b)))),
% 4.46/4.64 inference(symmetry,[status(thm)],[3608])).
% 4.46/4.64 tff(3610,plain,
% 4.46/4.64 (mult(b, a) = mult(a, b)),
% 4.46/4.64 inference(transitivity,[status(thm)],[2478, 3609, 13])).
% 4.46/4.64 tff(3611,plain,
% 4.46/4.64 (mult(mult(b, a), mult(c, a)) = mult(mult(a, b), mult(c, a))),
% 4.46/4.64 inference(monotonicity,[status(thm)],[3610])).
% 4.46/4.64 tff(3612,plain,
% 4.46/4.64 (mult(mult(a, b), mult(c, a)) = mult(mult(b, a), mult(c, a))),
% 4.46/4.64 inference(symmetry,[status(thm)],[3611])).
% 4.46/4.64 tff(3613,plain,
% 4.46/4.64 (mult(mult(b, a), c) = mult(mult(a, b), c)),
% 4.46/4.64 inference(monotonicity,[status(thm)],[3610])).
% 4.46/4.64 tff(3614,plain,
% 4.46/4.64 (mult(mult(mult(b, a), c), a) = mult(mult(mult(a, b), c), a)),
% 4.46/4.64 inference(monotonicity,[status(thm)],[3613])).
% 4.46/4.64 tff(3615,plain,
% 4.46/4.64 (mult(mult(b, mult(c, a)), a) = mult(mult(b, a), mult(c, a))),
% 4.46/4.65 inference(transitivity,[status(thm)],[3457, 3614, 370, 3612])).
% 4.46/4.65 tff(3616,plain,
% 4.46/4.65 ((mult(mult(b, mult(c, a)), a) = mult(b, mult(mult(c, a), a))) <=> (mult(mult(b, a), mult(c, a)) = mult(b, mult(mult(c, a), a)))),
% 4.46/4.65 inference(monotonicity,[status(thm)],[3615])).
% 4.46/4.65 tff(3617,plain,
% 4.46/4.65 ((~(mult(mult(b, mult(c, a)), a) = mult(b, mult(mult(c, a), a)))) <=> (~(mult(mult(b, a), mult(c, a)) = mult(b, mult(mult(c, a), a))))),
% 4.46/4.65 inference(monotonicity,[status(thm)],[3616])).
% 4.46/4.65 tff(3618,plain,
% 4.46/4.65 ((mult(mult(b, mult(c, a)), a) = mult(b, mult(a, mult(c, a)))) <=> (mult(mult(b, a), mult(c, a)) = mult(b, mult(a, mult(c, a))))),
% 4.46/4.65 inference(monotonicity,[status(thm)],[3615])).
% 4.46/4.65 tff(3619,plain,
% 4.46/4.65 (mult(mult(b, a), mult(c, a)) = mult(b, mult(a, mult(c, a)))),
% 4.46/4.65 inference(modus_ponens,[status(thm)],[3594, 3618])).
% 4.46/4.65 tff(3620,plain,
% 4.46/4.65 (~(mult(mult(b, mult(c, a)), a) = mult(b, mult(mult(c, a), a)))),
% 4.46/4.65 inference(unit_resolution,[status(thm)],[3483, 3619, 3475])).
% 4.46/4.65 tff(3621,plain,
% 4.46/4.65 (~(mult(mult(b, a), mult(c, a)) = mult(b, mult(mult(c, a), a)))),
% 4.46/4.65 inference(modus_ponens,[status(thm)],[3620, 3617])).
% 4.46/4.65 tff(3622,plain,
% 4.46/4.65 (~((~(mult(mult(b, a), mult(c, a)) = mult(b, mult(mult(c, a), a)))) | (~(mult(mult(b, mult(c, a)), a) = mult(b, mult(a, mult(c, a))))))),
% 4.46/4.65 inference(unit_resolution,[status(thm)],[3498, 30, 3475])).
% 4.46/4.65 tff(3623,plain,
% 4.46/4.65 (mult(mult(b, a), mult(c, a)) = mult(b, mult(mult(c, a), a))),
% 4.46/4.65 inference(unit_resolution,[status(thm)],[3501, 3622])).
% 4.46/4.65 tff(3624,plain,
% 4.46/4.65 ($false),
% 4.46/4.65 inference(unit_resolution,[status(thm)],[3623, 3621])).
% 4.46/4.65 tff(3625,plain,((~(mult(mult(a, mult(c, b)), a) = mult(a, mult(mult(c, b), a)))) | (~(mult(mult(mult(a, b), c), a) = mult(mult(a, b), mult(c, a)))) | (~(mult(mult(a, b), c) = mult(a, mult(c, b)))) | (~(mult(mult(b, a), c) = mult(b, mult(c, a)))) | (~((~(mult(mult(b, a), mult(c, a)) = mult(b, mult(a, mult(c, a))))) | (~(mult(mult(b, mult(c, a)), a) = mult(b, mult(mult(c, a), a))))))), inference(lemma,lemma(discharge,[]))).
% 4.46/4.65 tff(3626,plain,
% 4.46/4.65 (~(mult(mult(a, mult(c, b)), a) = mult(a, mult(mult(c, b), a)))),
% 4.46/4.65 inference(unit_resolution,[status(thm)],[3625, 275, 3448, 3475, 106])).
% 4.46/4.65 tff(3627,plain,
% 4.46/4.65 (~((~(mult(mult(a, a), mult(c, b)) = mult(a, mult(mult(c, b), a)))) | (~(mult(mult(a, mult(c, b)), a) = mult(a, mult(a, mult(c, b))))))),
% 4.46/4.65 inference(unit_resolution,[status(thm)],[86, 3626])).
% 4.46/4.65 tff(3628,plain,
% 4.46/4.65 (mult(mult(a, mult(c, b)), a) = mult(a, mult(a, mult(c, b)))),
% 4.46/4.65 inference(unit_resolution,[status(thm)],[88, 3627])).
% 4.46/4.65 tff(3629,plain,
% 4.46/4.65 (~(mult(mult(a, mult(a, b)), c) = mult(a, mult(mult(a, b), c)))),
% 4.46/4.65 inference(unit_resolution,[status(thm)],[264, 3628, 250, 106, 248])).
% 4.46/4.65 tff(3630,plain,
% 4.46/4.65 ((~(mult(mult(a, mult(a, b)), c) = mult(a, mult(mult(a, b), c)))) | (~(mult(mult(a, c), mult(a, b)) = mult(a, mult(c, mult(a, b)))))),
% 4.46/4.65 inference(unit_resolution,[status(thm)],[266, 3629])).
% 4.46/4.65 tff(3631,plain,
% 4.46/4.65 (mult(mult(a, c), mult(a, b)) = mult(mult(a, b), mult(c, a))),
% 4.46/4.65 inference(transitivity,[status(thm)],[593, 258, 369, 260, 370])).
% 4.46/4.65 tff(3632,plain,
% 4.46/4.65 (mult(mult(a, mult(c, a)), b) = mult(a, mult(b, mult(c, a)))),
% 4.46/4.65 inference(unit_resolution,[status(thm)],[735, 377])).
% 4.46/4.65 tff(3633,plain,
% 4.46/4.65 ((~![B: $i, A: $i] : (ld(A, mult(A, B)) = B)) | (ld(b, mult(b, mult(a, mult(c, a)))) = mult(a, mult(c, a)))),
% 4.46/4.65 inference(quant_inst,[status(thm)],[])).
% 4.46/4.65 tff(3634,plain,
% 4.46/4.65 (ld(b, mult(b, mult(a, mult(c, a)))) = mult(a, mult(c, a))),
% 4.46/4.65 inference(unit_resolution,[status(thm)],[3633, 9])).
% 4.46/4.65 tff(3635,assumption,(mult(mult(b, mult(c, a)), a) = mult(b, mult(a, mult(c, a)))), introduced(assumption)).
% 4.46/4.65 tff(3636,plain,
% 4.46/4.65 (mult(b, mult(mult(a, c), a)) = mult(b, mult(a, mult(c, a)))),
% 4.46/4.65 inference(transitivity,[status(thm)],[863, 3458, 3635])).
% 4.46/4.65 tff(3637,plain,
% 4.46/4.65 (ld(b, mult(b, mult(mult(a, c), a))) = ld(b, mult(b, mult(a, mult(c, a))))),
% 4.46/4.65 inference(monotonicity,[status(thm)],[3636])).
% 4.46/4.65 tff(3638,plain,
% 4.46/4.65 (mult(mult(a, c), a) = ld(b, mult(b, mult(mult(a, c), a)))),
% 4.46/4.65 inference(symmetry,[status(thm)],[3447])).
% 4.46/4.65 tff(3639,plain,
% 4.46/4.65 (mult(mult(a, c), a) = mult(a, mult(c, a))),
% 4.46/4.65 inference(transitivity,[status(thm)],[3638, 3637, 3634])).
% 4.46/4.65 tff(3640,plain,
% 4.46/4.65 (mult(mult(mult(a, c), a), b) = mult(mult(a, mult(c, a)), b)),
% 4.46/4.65 inference(monotonicity,[status(thm)],[3639])).
% 4.46/4.65 tff(3641,plain,
% 4.46/4.65 (mult(mult(mult(a, c), a), b) = mult(a, mult(b, mult(c, a)))),
% 4.46/4.65 inference(transitivity,[status(thm)],[3640, 3632])).
% 4.46/4.65 tff(3642,plain,
% 4.46/4.65 ((mult(mult(mult(a, c), a), b) = mult(mult(a, c), mult(a, b))) <=> (mult(a, mult(b, mult(c, a))) = mult(mult(a, b), mult(c, a)))),
% 4.46/4.65 inference(monotonicity,[status(thm)],[3641, 3631])).
% 4.46/4.65 tff(3643,plain,
% 4.46/4.65 ((mult(mult(mult(a, c), a), b) = mult(mult(a, c), mult(a, b))) <=> (mult(mult(a, b), mult(c, a)) = mult(a, mult(b, mult(c, a))))),
% 4.46/4.65 inference(transitivity,[status(thm)],[3642, 274])).
% 4.46/4.65 tff(3644,plain,
% 4.46/4.65 ((mult(mult(a, b), mult(c, a)) = mult(a, mult(b, mult(c, a)))) <=> (mult(mult(mult(a, c), a), b) = mult(mult(a, c), mult(a, b)))),
% 4.46/4.65 inference(symmetry,[status(thm)],[3643])).
% 4.46/4.65 tff(3645,plain,
% 4.46/4.65 ((~(mult(mult(a, b), mult(c, a)) = mult(a, mult(b, mult(c, a))))) <=> (~(mult(mult(mult(a, c), a), b) = mult(mult(a, c), mult(a, b))))),
% 4.46/4.65 inference(monotonicity,[status(thm)],[3644])).
% 4.46/4.65 tff(3646,plain,
% 4.46/4.65 (~(mult(mult(mult(a, c), a), b) = mult(mult(a, c), mult(a, b)))),
% 4.46/4.65 inference(modus_ponens,[status(thm)],[375, 3645])).
% 4.46/4.65 tff(3647,plain,
% 4.46/4.65 ((~(mult(mult(mult(a, c), a), b) = mult(mult(a, c), mult(a, b)))) | (~(mult(mult(mult(a, c), b), a) = mult(mult(a, c), mult(b, a))))),
% 4.46/4.65 inference(unit_resolution,[status(thm)],[1238, 3646])).
% 4.46/4.65 tff(3648,plain,
% 4.46/4.65 (~((~(mult(mult(mult(a, c), a), b) = mult(mult(a, c), mult(b, a)))) | (~(mult(mult(mult(a, c), b), a) = mult(mult(a, c), mult(a, b)))))),
% 4.46/4.65 inference(unit_resolution,[status(thm)],[589, 3647])).
% 4.46/4.65 tff(3649,plain,
% 4.46/4.65 (mult(mult(mult(a, c), b), a) = mult(mult(a, c), mult(a, b))),
% 4.46/4.65 inference(unit_resolution,[status(thm)],[591, 3648])).
% 4.46/4.65 tff(3650,plain,
% 4.46/4.65 (mult(mult(mult(a, c), b), a) = mult(mult(mult(a, b), c), a)),
% 4.46/4.65 inference(transitivity,[status(thm)],[3649, 593, 258, 369, 260])).
% 4.46/4.65 tff(3651,plain,
% 4.46/4.65 (rd(mult(mult(mult(a, c), b), a), a) = rd(mult(mult(mult(a, b), c), a), a)),
% 4.46/4.65 inference(monotonicity,[status(thm)],[3650])).
% 4.46/4.65 tff(3652,plain,
% 4.46/4.65 (mult(mult(a, c), b) = mult(a, mult(c, b))),
% 4.46/4.65 inference(transitivity,[status(thm)],[389, 3651, 172, 106])).
% 4.46/4.65 tff(3653,plain,
% 4.46/4.65 ($false),
% 4.46/4.65 inference(unit_resolution,[status(thm)],[41, 3652])).
% 4.46/4.65 tff(3654,plain,((~(mult(mult(a, mult(c, b)), a) = mult(a, mult(a, mult(c, b))))) | (mult(mult(a, c), b) = mult(a, mult(c, b))) | (~(mult(mult(a, b), c) = mult(a, mult(c, b)))) | (~(mult(mult(a, c), mult(a, b)) = mult(a, mult(mult(a, b), c)))) | (~(mult(mult(mult(a, b), c), a) = mult(mult(a, b), mult(c, a)))) | (~(mult(mult(b, mult(c, a)), a) = mult(b, mult(a, mult(c, a))))) | (~(mult(mult(b, a), c) = mult(b, mult(c, a))))), inference(lemma,lemma(discharge,[]))).
% 4.46/4.65 tff(3655,plain,
% 4.46/4.65 (~(mult(mult(a, c), mult(a, b)) = mult(a, mult(mult(a, b), c)))),
% 4.46/4.65 inference(unit_resolution,[status(thm)],[3654, 3628, 3448, 106, 275, 3594, 41])).
% 4.46/4.65 tff(3656,plain,
% 4.46/4.65 ((~(mult(mult(a, mult(a, b)), c) = mult(a, mult(c, mult(a, b))))) | (~(mult(mult(a, c), mult(a, b)) = mult(a, mult(mult(a, b), c))))),
% 4.46/4.65 inference(unit_resolution,[status(thm)],[601, 3655])).
% 4.46/4.65 tff(3657,plain,
% 4.46/4.65 ($false),
% 4.46/4.65 inference(unit_resolution,[status(thm)],[292, 3656, 3630])).
% 4.46/4.65 tff(3658,plain,((mult(mult(mult(a, b), c), a) = mult(mult(a, b), mult(a, c))) | (~(mult(mult(b, a), c) = mult(b, mult(c, a)))) | (~(mult(mult(a, b), c) = mult(a, mult(c, b)))) | (mult(mult(a, c), b) = mult(a, mult(c, b))) | (~(mult(mult(a, b), a) = mult(a, mult(a, b)))) | (~((~(mult(mult(b, a), mult(c, a)) = mult(b, mult(a, mult(c, a))))) | (~(mult(mult(b, mult(c, a)), a) = mult(b, mult(mult(c, a), a))))))), inference(lemma,lemma(discharge,[]))).
% 4.46/4.65 tff(3659,plain,
% 4.46/4.65 (mult(mult(mult(a, b), c), a) = mult(mult(a, b), mult(a, c))),
% 4.46/4.65 inference(unit_resolution,[status(thm)],[3658, 3593, 3448, 3600, 2835, 3475])).
% 4.46/4.65 tff(3660,plain,
% 4.46/4.65 ((mult(mult(a, a), mult(c, b)) = mult(mult(mult(a, a), b), c)) <=> (mult(mult(mult(a, a), b), c) = mult(mult(a, a), mult(c, b)))),
% 4.46/4.65 inference(commutativity,[status(thm)],[])).
% 4.46/4.65 tff(3661,plain,
% 4.46/4.65 (mult(a, mult(b, a)) = mult(mult(a, a), b)),
% 4.46/4.65 inference(symmetry,[status(thm)],[2846])).
% 4.46/4.65 tff(3662,plain,
% 4.46/4.65 (mult(mult(a, mult(b, a)), c) = mult(mult(mult(a, a), b), c)),
% 4.46/4.65 inference(monotonicity,[status(thm)],[3661])).
% 4.46/4.65 tff(3663,plain,
% 4.46/4.65 (mult(mult(mult(a, b), a), c) = mult(mult(a, b), mult(c, a))),
% 4.46/4.65 inference(unit_resolution,[status(thm)],[1690, 775])).
% 4.46/4.65 tff(3664,plain,
% 4.46/4.65 (mult(mult(a, mult(a, b)), c) = mult(mult(mult(a, b), a), c)),
% 4.46/4.65 inference(monotonicity,[status(thm)],[1544])).
% 4.46/4.65 tff(3665,plain,
% 4.46/4.65 (mult(mult(a, mult(a, b)), c) = mult(a, mult(b, mult(c, a)))),
% 4.46/4.65 inference(transitivity,[status(thm)],[3664, 3663, 754])).
% 4.46/4.65 tff(3666,plain,
% 4.46/4.65 ((mult(mult(a, mult(a, b)), c) = mult(a, mult(c, mult(a, b)))) <=> (mult(a, mult(b, mult(c, a))) = mult(mult(a, mult(c, a)), b))),
% 4.46/4.65 inference(monotonicity,[status(thm)],[3665, 1363])).
% 4.46/4.65 tff(3667,plain,
% 4.46/4.65 ((mult(mult(a, mult(a, b)), c) = mult(a, mult(c, mult(a, b)))) <=> (mult(mult(a, mult(c, a)), b) = mult(a, mult(b, mult(c, a))))),
% 4.46/4.65 inference(transitivity,[status(thm)],[3666, 1152])).
% 4.46/4.65 tff(3668,plain,
% 4.46/4.65 ((mult(mult(a, mult(c, a)), b) = mult(a, mult(b, mult(c, a)))) <=> (mult(mult(a, mult(a, b)), c) = mult(a, mult(c, mult(a, b))))),
% 4.46/4.65 inference(symmetry,[status(thm)],[3667])).
% 4.46/4.65 tff(3669,plain,
% 4.46/4.65 ((~(mult(mult(a, mult(c, a)), b) = mult(a, mult(b, mult(c, a))))) <=> (~(mult(mult(a, mult(a, b)), c) = mult(a, mult(c, mult(a, b)))))),
% 4.46/4.65 inference(monotonicity,[status(thm)],[3668])).
% 4.46/4.65 tff(3670,plain,
% 4.46/4.65 (~(mult(mult(a, mult(a, b)), c) = mult(a, mult(c, mult(a, b))))),
% 4.46/4.65 inference(modus_ponens,[status(thm)],[733, 3669])).
% 4.46/4.65 tff(3671,plain,
% 4.46/4.65 (((~(mult(mult(a, c), mult(a, b)) = mult(a, mult(mult(a, b), c)))) | (~(mult(mult(a, mult(a, b)), c) = mult(a, mult(c, mult(a, b)))))) | (mult(mult(a, mult(a, b)), c) = mult(a, mult(c, mult(a, b))))),
% 4.46/4.65 inference(tautology,[status(thm)],[])).
% 4.46/4.65 tff(3672,plain,
% 4.46/4.65 ((~(mult(mult(a, c), mult(a, b)) = mult(a, mult(mult(a, b), c)))) | (~(mult(mult(a, mult(a, b)), c) = mult(a, mult(c, mult(a, b)))))),
% 4.46/4.65 inference(unit_resolution,[status(thm)],[3671, 3670])).
% 4.46/4.65 tff(3673,plain,
% 4.46/4.65 (((~![X0: $i, X1: $i, X2: $i] : ((~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X2, X1)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X1, X2)))))) | (~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X1, X2)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X2, X1)))))))) | ((~((~(mult(mult(a, c), mult(a, b)) = mult(a, mult(mult(a, b), c)))) | (~(mult(mult(a, mult(a, b)), c) = mult(a, mult(c, mult(a, b))))))) | (~((~(mult(mult(a, c), mult(a, b)) = mult(a, mult(c, mult(a, b))))) | (~(mult(mult(a, mult(a, b)), c) = mult(a, mult(mult(a, b), c)))))))) <=> ((~![X0: $i, X1: $i, X2: $i] : ((~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X2, X1)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X1, X2)))))) | (~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X1, X2)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X2, X1)))))))) | (~((~(mult(mult(a, c), mult(a, b)) = mult(a, mult(mult(a, b), c)))) | (~(mult(mult(a, mult(a, b)), c) = mult(a, mult(c, mult(a, b))))))) | (~((~(mult(mult(a, c), mult(a, b)) = mult(a, mult(c, mult(a, b))))) | (~(mult(mult(a, mult(a, b)), c) = mult(a, mult(mult(a, b), c)))))))),
% 4.46/4.65 inference(rewrite,[status(thm)],[])).
% 4.46/4.65 tff(3674,plain,
% 4.46/4.65 ((~![X0: $i, X1: $i, X2: $i] : ((~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X2, X1)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X1, X2)))))) | (~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X1, X2)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X2, X1)))))))) | ((~((~(mult(mult(a, c), mult(a, b)) = mult(a, mult(mult(a, b), c)))) | (~(mult(mult(a, mult(a, b)), c) = mult(a, mult(c, mult(a, b))))))) | (~((~(mult(mult(a, c), mult(a, b)) = mult(a, mult(c, mult(a, b))))) | (~(mult(mult(a, mult(a, b)), c) = mult(a, mult(mult(a, b), c)))))))),
% 4.46/4.65 inference(quant_inst,[status(thm)],[])).
% 4.46/4.65 tff(3675,plain,
% 4.46/4.65 ((~![X0: $i, X1: $i, X2: $i] : ((~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X2, X1)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X1, X2)))))) | (~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X1, X2)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X2, X1)))))))) | (~((~(mult(mult(a, c), mult(a, b)) = mult(a, mult(mult(a, b), c)))) | (~(mult(mult(a, mult(a, b)), c) = mult(a, mult(c, mult(a, b))))))) | (~((~(mult(mult(a, c), mult(a, b)) = mult(a, mult(c, mult(a, b))))) | (~(mult(mult(a, mult(a, b)), c) = mult(a, mult(mult(a, b), c))))))),
% 4.46/4.65 inference(modus_ponens,[status(thm)],[3674, 3673])).
% 4.46/4.65 tff(3676,plain,
% 4.46/4.65 ((~((~(mult(mult(a, c), mult(a, b)) = mult(a, mult(mult(a, b), c)))) | (~(mult(mult(a, mult(a, b)), c) = mult(a, mult(c, mult(a, b))))))) | (~((~(mult(mult(a, c), mult(a, b)) = mult(a, mult(c, mult(a, b))))) | (~(mult(mult(a, mult(a, b)), c) = mult(a, mult(mult(a, b), c))))))),
% 4.46/4.65 inference(unit_resolution,[status(thm)],[3675, 30])).
% 4.46/4.65 tff(3677,plain,
% 4.46/4.65 (~((~(mult(mult(a, c), mult(a, b)) = mult(a, mult(c, mult(a, b))))) | (~(mult(mult(a, mult(a, b)), c) = mult(a, mult(mult(a, b), c)))))),
% 4.46/4.65 inference(unit_resolution,[status(thm)],[3676, 3672])).
% 4.46/4.65 tff(3678,plain,
% 4.46/4.65 (((~(mult(mult(a, c), mult(a, b)) = mult(a, mult(c, mult(a, b))))) | (~(mult(mult(a, mult(a, b)), c) = mult(a, mult(mult(a, b), c))))) | (mult(mult(a, mult(a, b)), c) = mult(a, mult(mult(a, b), c)))),
% 4.46/4.65 inference(tautology,[status(thm)],[])).
% 4.46/4.65 tff(3679,plain,
% 4.46/4.65 (mult(mult(a, mult(a, b)), c) = mult(a, mult(mult(a, b), c))),
% 4.46/4.65 inference(unit_resolution,[status(thm)],[3678, 3677])).
% 4.46/4.65 tff(3680,plain,
% 4.46/4.65 (mult(mult(mult(a, b), a), c) = mult(mult(a, mult(a, b)), c)),
% 4.46/4.65 inference(symmetry,[status(thm)],[3664])).
% 4.46/4.65 tff(3681,plain,
% 4.46/4.65 (mult(mult(a, b), mult(c, a)) = mult(mult(mult(a, b), a), c)),
% 4.46/4.65 inference(symmetry,[status(thm)],[3663])).
% 4.46/4.65 tff(3682,plain,
% 4.46/4.65 (mult(a, mult(b, mult(c, a))) = mult(mult(a, b), mult(c, a))),
% 4.46/4.65 inference(symmetry,[status(thm)],[754])).
% 4.46/4.65 tff(3683,plain,
% 4.46/4.65 (mult(a, mult(b, mult(c, a))) = mult(a, mult(mult(a, b), c))),
% 4.46/4.65 inference(transitivity,[status(thm)],[3682, 3681, 3680, 3679])).
% 4.46/4.65 tff(3684,plain,
% 4.46/4.65 (ld(a, mult(a, mult(b, mult(c, a)))) = ld(a, mult(a, mult(mult(a, b), c)))),
% 4.46/4.65 inference(monotonicity,[status(thm)],[3683])).
% 4.46/4.65 tff(3685,plain,
% 4.46/4.65 (mult(mult(b, a), c) = mult(mult(a, b), c)),
% 4.46/4.65 inference(transitivity,[status(thm)],[3448, 2419, 3684, 114])).
% 4.46/4.65 tff(3686,plain,
% 4.46/4.65 (rd(mult(mult(b, a), c), c) = rd(mult(mult(a, b), c), c)),
% 4.46/4.65 inference(monotonicity,[status(thm)],[3685])).
% 4.46/4.65 tff(3687,plain,
% 4.46/4.65 (mult(b, a) = mult(a, b)),
% 4.46/4.65 inference(transitivity,[status(thm)],[415, 3686, 402])).
% 4.46/4.65 tff(3688,plain,
% 4.46/4.65 (mult(c, mult(b, a)) = mult(c, mult(a, b))),
% 4.46/4.65 inference(monotonicity,[status(thm)],[3687])).
% 4.46/4.65 tff(3689,plain,
% 4.46/4.65 (mult(c, mult(a, b)) = mult(c, mult(b, a))),
% 4.46/4.65 inference(symmetry,[status(thm)],[3688])).
% 4.46/4.65 tff(3690,plain,
% 4.46/4.65 (mult(mult(c, a), b) = mult(c, mult(b, a))),
% 4.46/4.65 inference(transitivity,[status(thm)],[421, 3689])).
% 4.46/4.65 tff(3691,plain,
% 4.46/4.65 ($false),
% 4.46/4.65 inference(unit_resolution,[status(thm)],[40, 3690])).
% 4.46/4.65 tff(3692,plain,((~(mult(mult(a, b), a) = mult(a, mult(a, b)))) | (mult(mult(c, a), b) = mult(c, mult(b, a))) | (~(mult(mult(b, a), c) = mult(b, mult(c, a)))) | (~(mult(mult(a, b), mult(c, a)) = mult(a, mult(b, mult(c, a))))) | (mult(mult(a, mult(c, a)), b) = mult(a, mult(b, mult(c, a)))) | (~(mult(mult(a, mult(c, a)), b) = mult(a, mult(mult(c, a), b))))), inference(lemma,lemma(discharge,[]))).
% 4.46/4.65 tff(3693,plain,
% 4.46/4.65 ($false),
% 4.46/4.65 inference(unit_resolution,[status(thm)],[3692, 740, 738, 250, 40, 733, 3448])).
% 4.46/4.65 tff(3694,plain,((mult(mult(a, mult(c, a)), b) = mult(a, mult(b, mult(c, a)))) | (~(mult(mult(a, b), a) = mult(a, mult(a, b)))) | (mult(mult(c, a), b) = mult(c, mult(b, a))) | (~(mult(mult(b, a), c) = mult(b, mult(c, a))))), inference(lemma,lemma(discharge,[]))).
% 4.46/4.65 tff(3695,plain,
% 4.46/4.65 (mult(mult(a, mult(c, a)), b) = mult(a, mult(b, mult(c, a)))),
% 4.46/4.65 inference(unit_resolution,[status(thm)],[3694, 40, 2835, 3448])).
% 4.46/4.65 tff(3696,assumption,(~(ld(b, mult(b, mult(a, mult(c, a)))) = mult(a, mult(c, a)))), introduced(assumption)).
% 4.46/4.65 tff(3697,plain,
% 4.46/4.65 ($false),
% 4.46/4.65 inference(unit_resolution,[status(thm)],[3633, 9, 3696])).
% 4.46/4.65 tff(3698,plain,(ld(b, mult(b, mult(a, mult(c, a)))) = mult(a, mult(c, a))), inference(lemma,lemma(discharge,[]))).
% 4.46/4.65 tff(3699,plain,
% 4.46/4.65 (mult(b, mult(mult(a, c), a)) = mult(b, mult(a, mult(c, a)))),
% 4.46/4.65 inference(transitivity,[status(thm)],[863, 3490, 3635])).
% 4.46/4.65 tff(3700,plain,
% 4.46/4.65 (ld(b, mult(b, mult(mult(a, c), a))) = ld(b, mult(b, mult(a, mult(c, a))))),
% 4.46/4.65 inference(monotonicity,[status(thm)],[3699])).
% 4.46/4.65 tff(3701,plain,
% 4.46/4.65 (mult(mult(a, c), a) = mult(a, mult(c, a))),
% 4.46/4.65 inference(transitivity,[status(thm)],[3638, 3700, 3698])).
% 4.46/4.65 tff(3702,plain,
% 4.46/4.65 (mult(mult(mult(a, c), a), b) = mult(mult(a, mult(c, a)), b)),
% 4.46/4.65 inference(monotonicity,[status(thm)],[3701])).
% 4.46/4.65 tff(3703,plain,
% 4.46/4.65 ((~(mult(mult(mult(a, c), a), b) = mult(mult(a, c), mult(b, a)))) | (~(mult(mult(mult(a, c), b), a) = mult(mult(a, c), mult(a, b))))),
% 4.46/4.65 inference(unit_resolution,[status(thm)],[954, 3591])).
% 4.46/4.65 tff(3704,plain,
% 4.46/4.65 (~((~(mult(mult(mult(a, c), a), b) = mult(mult(a, c), mult(a, b)))) | (~(mult(mult(mult(a, c), b), a) = mult(mult(a, c), mult(b, a)))))),
% 4.46/4.66 inference(unit_resolution,[status(thm)],[589, 3703])).
% 4.46/4.66 tff(3705,plain,
% 4.46/4.66 (mult(mult(mult(a, c), a), b) = mult(mult(a, c), mult(a, b))),
% 4.46/4.66 inference(unit_resolution,[status(thm)],[1238, 3704])).
% 4.46/4.66 tff(3706,plain,
% 4.46/4.66 (mult(mult(a, c), mult(a, b)) = mult(mult(mult(a, c), a), b)),
% 4.46/4.66 inference(symmetry,[status(thm)],[3705])).
% 4.46/4.66 tff(3707,plain,
% 4.46/4.66 (mult(mult(a, c), mult(a, b)) = mult(mult(a, mult(c, a)), b)),
% 4.46/4.66 inference(transitivity,[status(thm)],[3706, 3702])).
% 4.46/4.66 tff(3708,plain,
% 4.46/4.66 ((mult(mult(a, c), mult(a, b)) = mult(a, mult(c, mult(a, b)))) <=> (mult(mult(a, mult(c, a)), b) = mult(a, mult(mult(c, a), b)))),
% 4.46/4.66 inference(monotonicity,[status(thm)],[3707, 482])).
% 4.46/4.66 tff(3709,plain,
% 4.46/4.66 ((mult(mult(a, mult(c, a)), b) = mult(a, mult(mult(c, a), b))) <=> (mult(mult(a, c), mult(a, b)) = mult(a, mult(c, mult(a, b))))),
% 4.46/4.66 inference(symmetry,[status(thm)],[3708])).
% 4.46/4.66 tff(3710,plain,
% 4.46/4.66 (mult(a, mult(b, mult(c, a))) = mult(mult(a, mult(c, a)), b)),
% 4.46/4.66 inference(symmetry,[status(thm)],[3695])).
% 4.46/4.66 tff(3711,plain,
% 4.46/4.66 (mult(mult(a, mult(c, a)), b) = mult(mult(mult(a, c), a), b)),
% 4.46/4.66 inference(symmetry,[status(thm)],[3702])).
% 4.46/4.66 tff(3712,plain,
% 4.46/4.66 (mult(a, mult(mult(b, a), c)) = mult(a, mult(b, mult(c, a)))),
% 4.46/4.66 inference(monotonicity,[status(thm)],[3448])).
% 4.46/4.66 tff(3713,plain,
% 4.46/4.66 (mult(a, mult(mult(b, a), c)) = mult(mult(mult(a, c), a), b)),
% 4.46/4.66 inference(transitivity,[status(thm)],[3712, 3710, 3711])).
% 4.46/4.66 tff(3714,plain,
% 4.46/4.66 ((mult(mult(a, c), mult(b, a)) = mult(a, mult(mult(b, a), c))) <=> (mult(mult(a, c), mult(b, a)) = mult(mult(mult(a, c), a), b))),
% 4.46/4.66 inference(monotonicity,[status(thm)],[3713])).
% 4.46/4.66 tff(3715,plain,
% 4.46/4.66 ((mult(mult(a, c), mult(b, a)) = mult(a, mult(mult(b, a), c))) <=> (mult(mult(mult(a, c), a), b) = mult(mult(a, c), mult(b, a)))),
% 4.46/4.66 inference(transitivity,[status(thm)],[3714, 935])).
% 4.46/4.66 tff(3716,plain,
% 4.46/4.66 ((mult(mult(mult(a, c), a), b) = mult(mult(a, c), mult(b, a))) <=> (mult(mult(a, c), mult(b, a)) = mult(a, mult(mult(b, a), c)))),
% 4.46/4.66 inference(symmetry,[status(thm)],[3715])).
% 4.46/4.66 tff(3717,plain,
% 4.46/4.66 ((~(mult(mult(mult(a, c), a), b) = mult(mult(a, c), mult(b, a)))) <=> (~(mult(mult(a, c), mult(b, a)) = mult(a, mult(mult(b, a), c))))),
% 4.46/4.66 inference(monotonicity,[status(thm)],[3716])).
% 4.46/4.66 tff(3718,plain,
% 4.46/4.66 (~(mult(mult(a, c), mult(b, a)) = mult(a, mult(mult(b, a), c)))),
% 4.46/4.66 inference(modus_ponens,[status(thm)],[3591, 3717])).
% 4.46/4.66 tff(3719,plain,
% 4.46/4.66 ((~(mult(mult(a, c), mult(b, a)) = mult(a, mult(mult(b, a), c)))) | (~(mult(mult(a, mult(b, a)), c) = mult(a, mult(c, mult(b, a)))))),
% 4.46/4.66 inference(unit_resolution,[status(thm)],[134, 3718])).
% 4.46/4.66 tff(3720,plain,
% 4.46/4.66 (~((~(mult(mult(a, c), mult(b, a)) = mult(a, mult(c, mult(b, a))))) | (~(mult(mult(a, mult(b, a)), c) = mult(a, mult(mult(b, a), c)))))),
% 4.46/4.66 inference(unit_resolution,[status(thm)],[132, 3719])).
% 4.46/4.66 tff(3721,plain,
% 4.46/4.66 (mult(mult(a, mult(b, a)), c) = mult(a, mult(mult(b, a), c))),
% 4.46/4.66 inference(unit_resolution,[status(thm)],[1395, 3720])).
% 4.46/4.66 tff(3722,plain,
% 4.46/4.66 (mult(mult(a, mult(b, a)), c) = mult(mult(mult(a, b), a), c)),
% 4.49/4.66 inference(transitivity,[status(thm)],[1435, 3712, 3682, 3681])).
% 4.49/4.66 tff(3723,plain,
% 4.49/4.66 (rd(mult(mult(a, mult(b, a)), c), c) = rd(mult(mult(mult(a, b), a), c), c)),
% 4.49/4.66 inference(monotonicity,[status(thm)],[3722])).
% 4.49/4.66 tff(3724,plain,
% 4.49/4.66 (rd(mult(mult(mult(a, b), a), c), c) = rd(mult(mult(a, mult(b, a)), c), c)),
% 4.49/4.66 inference(symmetry,[status(thm)],[3723])).
% 4.49/4.66 tff(3725,plain,
% 4.49/4.66 (mult(a, mult(a, b)) = mult(mult(a, b), a)),
% 4.49/4.66 inference(symmetry,[status(thm)],[2835])).
% 4.49/4.66 tff(3726,plain,
% 4.49/4.66 (mult(a, mult(a, b)) = mult(a, mult(b, a))),
% 4.49/4.66 inference(transitivity,[status(thm)],[3725, 2016, 3724, 1439])).
% 4.49/4.66 tff(3727,plain,
% 4.49/4.66 ((mult(mult(a, a), b) = mult(a, mult(a, b))) <=> (mult(mult(a, a), b) = mult(a, mult(b, a)))),
% 4.49/4.66 inference(monotonicity,[status(thm)],[3726])).
% 4.49/4.66 tff(3728,plain,
% 4.49/4.66 ((mult(mult(a, a), b) = mult(a, mult(b, a))) <=> (mult(mult(a, a), b) = mult(a, mult(a, b)))),
% 4.49/4.66 inference(symmetry,[status(thm)],[3727])).
% 4.49/4.66 tff(3729,plain,
% 4.49/4.66 (mult(mult(a, a), b) = mult(a, mult(a, b))),
% 4.49/4.66 inference(modus_ponens,[status(thm)],[2846, 3728])).
% 4.49/4.66 tff(3730,plain,
% 4.49/4.66 ($false),
% 4.49/4.66 inference(unit_resolution,[status(thm)],[2832, 3729])).
% 4.49/4.66 tff(3731,plain,((mult(mult(a, a), b) = mult(a, mult(a, b))) | (~(mult(mult(a, b), mult(c, a)) = mult(a, mult(b, mult(c, a))))) | (~(mult(mult(a, mult(b, a)), c) = mult(a, mult(mult(b, a), c)))) | (~(mult(mult(b, a), c) = mult(b, mult(c, a))))), inference(lemma,lemma(discharge,[]))).
% 4.49/4.66 tff(3732,plain,
% 4.49/4.66 (~(mult(mult(a, b), mult(c, a)) = mult(a, mult(b, mult(c, a))))),
% 4.49/4.66 inference(unit_resolution,[status(thm)],[3731, 3721, 2832, 3448])).
% 4.49/4.66 tff(3733,plain,
% 4.49/4.66 ((~(mult(mult(a, b), mult(c, a)) = mult(a, mult(b, mult(c, a))))) | (~(mult(mult(a, mult(c, a)), b) = mult(a, mult(mult(c, a), b))))),
% 4.49/4.66 inference(unit_resolution,[status(thm)],[196, 3732])).
% 4.49/4.66 tff(3734,plain,
% 4.49/4.66 (~((~(mult(mult(a, b), mult(c, a)) = mult(a, mult(mult(c, a), b)))) | (~(mult(mult(a, mult(c, a)), b) = mult(a, mult(b, mult(c, a))))))),
% 4.49/4.66 inference(unit_resolution,[status(thm)],[201, 3733])).
% 4.49/4.66 tff(3735,plain,
% 4.49/4.66 (mult(mult(a, b), mult(c, a)) = mult(a, mult(mult(c, a), b))),
% 4.49/4.66 inference(unit_resolution,[status(thm)],[203, 3734])).
% 4.49/4.66 tff(3736,plain,
% 4.49/4.66 ((mult(mult(a, b), mult(c, a)) = mult(a, mult(b, mult(c, a)))) <=> (mult(a, mult(mult(c, a), b)) = mult(mult(a, mult(c, a)), b))),
% 4.49/4.66 inference(monotonicity,[status(thm)],[3735, 3710])).
% 4.49/4.66 tff(3737,plain,
% 4.49/4.66 ((mult(mult(a, b), mult(c, a)) = mult(a, mult(b, mult(c, a)))) <=> (mult(mult(a, mult(c, a)), b) = mult(a, mult(mult(c, a), b)))),
% 4.49/4.66 inference(transitivity,[status(thm)],[3736, 2170])).
% 4.49/4.66 tff(3738,plain,
% 4.49/4.66 ((mult(mult(a, b), mult(c, a)) = mult(a, mult(b, mult(c, a)))) <=> (mult(mult(a, c), mult(a, b)) = mult(a, mult(c, mult(a, b))))),
% 4.49/4.66 inference(transitivity,[status(thm)],[3737, 3709])).
% 4.49/4.66 tff(3739,plain,
% 4.49/4.66 ((~(mult(mult(a, b), mult(c, a)) = mult(a, mult(b, mult(c, a))))) <=> (~(mult(mult(a, c), mult(a, b)) = mult(a, mult(c, mult(a, b)))))),
% 4.49/4.66 inference(monotonicity,[status(thm)],[3738])).
% 4.49/4.66 tff(3740,plain,
% 4.49/4.66 (~(mult(mult(a, c), mult(a, b)) = mult(a, mult(c, mult(a, b))))),
% 4.49/4.66 inference(modus_ponens,[status(thm)],[3732, 3739])).
% 4.49/4.66 tff(3741,plain,
% 4.49/4.66 ((~(mult(mult(a, mult(a, b)), c) = mult(a, mult(mult(a, b), c)))) | (~(mult(mult(a, c), mult(a, b)) = mult(a, mult(c, mult(a, b)))))),
% 4.49/4.66 inference(unit_resolution,[status(thm)],[604, 3740])).
% 4.49/4.66 tff(3742,plain,
% 4.49/4.66 (~((~(mult(mult(a, mult(a, b)), c) = mult(a, mult(c, mult(a, b))))) | (~(mult(mult(a, c), mult(a, b)) = mult(a, mult(mult(a, b), c)))))),
% 4.49/4.66 inference(unit_resolution,[status(thm)],[292, 3741])).
% 4.49/4.66 tff(3743,plain,
% 4.49/4.66 (mult(mult(a, c), mult(a, b)) = mult(a, mult(mult(a, b), c))),
% 4.49/4.66 inference(unit_resolution,[status(thm)],[601, 3742])).
% 4.49/4.66 tff(3744,plain,
% 4.49/4.66 (mult(a, mult(mult(a, b), c)) = mult(mult(a, c), mult(a, b))),
% 4.49/4.66 inference(symmetry,[status(thm)],[3743])).
% 4.49/4.66 tff(3745,plain,
% 4.49/4.66 (mult(a, mult(a, mult(c, b))) = mult(a, mult(b, mult(c, a)))),
% 4.49/4.66 inference(transitivity,[status(thm)],[111, 3744, 3706, 3702, 3695])).
% 4.49/4.66 tff(3746,plain,
% 4.49/4.66 ((mult(mult(a, mult(c, b)), a) = mult(a, mult(a, mult(c, b)))) <=> (mult(mult(mult(a, b), c), a) = mult(a, mult(b, mult(c, a))))),
% 4.49/4.66 inference(monotonicity,[status(thm)],[108, 3745])).
% 4.49/4.66 tff(3747,plain,
% 4.49/4.66 ((mult(mult(a, mult(c, b)), a) = mult(a, mult(a, mult(c, b)))) <=> (mult(a, mult(b, mult(c, a))) = mult(mult(mult(a, b), c), a))),
% 4.49/4.66 inference(transitivity,[status(thm)],[3746, 15])).
% 4.49/4.66 tff(3748,plain,
% 4.49/4.66 ((mult(a, mult(b, mult(c, a))) = mult(mult(mult(a, b), c), a)) <=> (mult(mult(a, mult(c, b)), a) = mult(a, mult(a, mult(c, b))))),
% 4.49/4.66 inference(symmetry,[status(thm)],[3747])).
% 4.49/4.66 tff(3749,plain,
% 4.49/4.66 ((~(mult(a, mult(b, mult(c, a))) = mult(mult(mult(a, b), c), a))) <=> (~(mult(mult(a, mult(c, b)), a) = mult(a, mult(a, mult(c, b)))))),
% 4.49/4.66 inference(monotonicity,[status(thm)],[3748])).
% 4.49/4.66 tff(3750,plain,
% 4.49/4.66 (~(mult(mult(a, mult(c, b)), a) = mult(a, mult(a, mult(c, b))))),
% 4.49/4.66 inference(modus_ponens,[status(thm)],[194, 3749])).
% 4.49/4.66 tff(3751,plain,
% 4.49/4.66 ((~(mult(mult(a, a), mult(c, b)) = mult(a, mult(mult(c, b), a)))) | (~(mult(mult(a, mult(c, b)), a) = mult(a, mult(a, mult(c, b)))))),
% 4.49/4.66 inference(unit_resolution,[status(thm)],[88, 3750])).
% 4.49/4.66 tff(3752,plain,
% 4.49/4.66 (mult(mult(a, mult(c, b)), a) = mult(a, mult(mult(c, b), a))),
% 4.49/4.66 inference(unit_resolution,[status(thm)],[86, 3751])).
% 4.49/4.66 tff(3753,plain,
% 4.49/4.66 (mult(a, mult(mult(c, b), a)) = mult(mult(a, mult(c, b)), a)),
% 4.49/4.66 inference(symmetry,[status(thm)],[3752])).
% 4.49/4.66 tff(3754,plain,
% 4.49/4.66 (mult(a, mult(mult(c, b), a)) = mult(a, mult(c, mult(b, a)))),
% 4.49/4.66 inference(monotonicity,[status(thm)],[716])).
% 4.49/4.66 tff(3755,plain,
% 4.49/4.66 (mult(a, mult(c, mult(b, a))) = mult(a, mult(mult(c, b), a))),
% 4.49/4.66 inference(symmetry,[status(thm)],[3754])).
% 4.49/4.66 tff(3756,plain,
% 4.49/4.66 (mult(mult(a, c), mult(b, a)) = mult(a, mult(c, mult(b, a)))),
% 4.49/4.66 inference(unit_resolution,[status(thm)],[120, 3720])).
% 4.49/4.66 tff(3757,plain,
% 4.49/4.66 (mult(mult(mult(a, c), b), a) = mult(mult(a, c), mult(b, a))),
% 4.49/4.66 inference(unit_resolution,[status(thm)],[577, 3704])).
% 4.49/4.66 tff(3758,plain,
% 4.49/4.66 (mult(mult(mult(a, c), b), a) = mult(mult(mult(a, b), c), a)),
% 4.49/4.66 inference(transitivity,[status(thm)],[3757, 3756, 3755, 3753, 108])).
% 4.49/4.66 tff(3759,plain,
% 4.49/4.66 (rd(mult(mult(mult(a, c), b), a), a) = rd(mult(mult(mult(a, b), c), a), a)),
% 4.49/4.66 inference(monotonicity,[status(thm)],[3758])).
% 4.49/4.66 tff(3760,plain,
% 4.49/4.66 (mult(mult(a, c), b) = mult(a, mult(c, b))),
% 4.49/4.66 inference(transitivity,[status(thm)],[389, 3759, 172, 106])).
% 4.49/4.66 tff(3761,plain,
% 4.49/4.66 ($false),
% 4.49/4.66 inference(unit_resolution,[status(thm)],[41, 3760])).
% 4.49/4.66 tff(3762,plain,((mult(mult(c, a), b) = mult(c, mult(b, a))) | (mult(mult(a, c), b) = mult(a, mult(c, b))) | (~(mult(mult(a, b), c) = mult(a, mult(c, b)))) | (~(mult(mult(b, mult(c, a)), a) = mult(b, mult(a, mult(c, a))))) | (~(mult(mult(b, a), c) = mult(b, mult(c, a)))) | (mult(mult(a, a), b) = mult(a, mult(a, b))) | (mult(mult(mult(a, c), a), b) = mult(mult(a, c), mult(b, a)))), inference(lemma,lemma(discharge,[]))).
% 4.49/4.66 tff(3763,plain,
% 4.49/4.66 (mult(mult(c, a), b) = mult(c, mult(b, a))),
% 4.49/4.66 inference(unit_resolution,[status(thm)],[3762, 3600, 3593, 3635, 3448, 2832, 3591])).
% 4.49/4.66 tff(3764,plain,
% 4.49/4.66 (~(mult(mult(a, b), mult(a, c)) = mult(a, mult(mult(a, c), b)))),
% 4.49/4.66 inference(unit_resolution,[status(thm)],[564, 89, 3593, 168, 1927, 115])).
% 4.49/4.66 tff(3765,plain,
% 4.49/4.66 ((~(mult(mult(a, mult(a, c)), b) = mult(a, mult(b, mult(a, c))))) | (~(mult(mult(a, b), mult(a, c)) = mult(a, mult(mult(a, c), b))))),
% 4.49/4.66 inference(unit_resolution,[status(thm)],[138, 3764])).
% 4.49/4.66 tff(3766,assumption,(mult(mult(mult(a, c), a), b) = mult(mult(a, c), mult(a, b))), introduced(assumption)).
% 4.49/4.66 tff(3767,plain,
% 4.49/4.66 (mult(a, mult(b, mult(c, a))) = mult(a, mult(mult(b, a), c))),
% 4.49/4.66 inference(symmetry,[status(thm)],[3712])).
% 4.49/4.66 tff(3768,plain,
% 4.49/4.66 (mult(mult(mult(a, a), b), c) = mult(mult(a, mult(b, a)), c)),
% 4.49/4.66 inference(symmetry,[status(thm)],[3662])).
% 4.49/4.66 tff(3769,assumption,(~((~(mult(mult(a, mult(a, b)), c) = mult(a, mult(c, mult(a, b))))) | (~(mult(mult(a, c), mult(a, b)) = mult(a, mult(mult(a, b), c)))))), introduced(assumption)).
% 4.49/4.66 tff(3770,plain,
% 4.49/4.66 (mult(mult(a, mult(a, b)), c) = mult(a, mult(c, mult(a, b)))),
% 4.49/4.66 inference(unit_resolution,[status(thm)],[287, 3769])).
% 4.49/4.66 tff(3771,plain,
% 4.49/4.66 (mult(mult(a, c), mult(a, b)) = mult(a, mult(mult(a, b), c))),
% 4.49/4.66 inference(unit_resolution,[status(thm)],[601, 3769])).
% 4.49/4.66 tff(3772,plain,
% 4.49/4.66 (~(mult(mult(mult(a, b), c), a) = mult(mult(a, b), mult(c, a)))),
% 4.49/4.66 inference(unit_resolution,[status(thm)],[3654, 3771, 3448, 106, 249, 3635, 41])).
% 4.49/4.66 tff(3773,plain,
% 4.49/4.66 ((~(mult(mult(mult(a, b), a), c) = mult(mult(a, b), mult(a, c)))) | (~(mult(mult(mult(a, b), c), a) = mult(mult(a, b), mult(c, a))))),
% 4.49/4.66 inference(unit_resolution,[status(thm)],[185, 3772])).
% 4.49/4.66 tff(3774,plain,
% 4.49/4.66 (~((~(mult(mult(mult(a, b), a), c) = mult(mult(a, b), mult(c, a)))) | (~(mult(mult(mult(a, b), c), a) = mult(mult(a, b), mult(a, c)))))),
% 4.49/4.66 inference(unit_resolution,[status(thm)],[183, 3773])).
% 4.49/4.66 tff(3775,plain,
% 4.49/4.66 (mult(mult(mult(a, b), a), c) = mult(mult(a, b), mult(c, a))),
% 4.49/4.66 inference(unit_resolution,[status(thm)],[1690, 3774])).
% 4.49/4.66 tff(3776,plain,
% 4.49/4.66 (mult(mult(a, b), mult(c, a)) = mult(mult(mult(a, b), a), c)),
% 4.49/4.66 inference(symmetry,[status(thm)],[3775])).
% 4.49/4.66 tff(3777,plain,
% 4.49/4.66 (mult(mult(a, b), mult(c, a)) = mult(mult(a, mult(b, a)), c)),
% 4.49/4.66 inference(transitivity,[status(thm)],[3776, 2875, 3770, 2198, 1884, 1897, 3768])).
% 4.49/4.66 tff(3778,plain,
% 4.49/4.66 ((mult(mult(a, b), mult(c, a)) = mult(a, mult(b, mult(c, a)))) <=> (mult(mult(a, mult(b, a)), c) = mult(a, mult(mult(b, a), c)))),
% 4.49/4.66 inference(monotonicity,[status(thm)],[3777, 3767])).
% 4.49/4.66 tff(3779,plain,
% 4.49/4.66 (ld(b, mult(b, mult(a, mult(c, a)))) = ld(b, mult(b, mult(mult(a, c), a)))),
% 4.49/4.66 inference(symmetry,[status(thm)],[3700])).
% 4.49/4.66 tff(3780,plain,
% 4.49/4.66 (mult(a, mult(c, a)) = ld(b, mult(b, mult(a, mult(c, a))))),
% 4.49/4.66 inference(symmetry,[status(thm)],[3698])).
% 4.49/4.66 tff(3781,plain,
% 4.49/4.66 (mult(a, mult(c, a)) = mult(mult(a, c), a)),
% 4.49/4.66 inference(transitivity,[status(thm)],[3780, 3779, 3447])).
% 4.49/4.66 tff(3782,plain,
% 4.49/4.66 (mult(mult(a, mult(c, a)), b) = mult(mult(mult(a, c), a), b)),
% 4.49/4.66 inference(monotonicity,[status(thm)],[3781])).
% 4.49/4.66 tff(3783,plain,
% 4.49/4.66 (mult(mult(a, mult(c, a)), b) = mult(mult(mult(a, b), c), a)),
% 4.49/4.66 inference(transitivity,[status(thm)],[3782, 3766, 3771, 112, 369, 108])).
% 4.49/4.66 tff(3784,plain,
% 4.49/4.66 ((mult(mult(a, mult(c, a)), b) = mult(a, mult(b, mult(c, a)))) <=> (mult(mult(mult(a, b), c), a) = mult(a, mult(b, mult(c, a))))),
% 4.49/4.66 inference(monotonicity,[status(thm)],[3783])).
% 4.49/4.66 tff(3785,plain,
% 4.49/4.66 ((mult(mult(a, mult(c, a)), b) = mult(a, mult(b, mult(c, a)))) <=> (mult(a, mult(b, mult(c, a))) = mult(mult(mult(a, b), c), a))),
% 4.49/4.66 inference(transitivity,[status(thm)],[3784, 15])).
% 4.49/4.66 tff(3786,plain,
% 4.49/4.66 ((mult(a, mult(b, mult(c, a))) = mult(mult(mult(a, b), c), a)) <=> (mult(mult(a, mult(c, a)), b) = mult(a, mult(b, mult(c, a))))),
% 4.49/4.66 inference(symmetry,[status(thm)],[3785])).
% 4.49/4.66 tff(3787,plain,
% 4.49/4.66 ((~(mult(a, mult(b, mult(c, a))) = mult(mult(mult(a, b), c), a))) <=> (~(mult(mult(a, mult(c, a)), b) = mult(a, mult(b, mult(c, a)))))),
% 4.49/4.66 inference(monotonicity,[status(thm)],[3786])).
% 4.49/4.66 tff(3788,plain,
% 4.49/4.66 (~(mult(mult(a, mult(c, a)), b) = mult(a, mult(b, mult(c, a))))),
% 4.49/4.66 inference(modus_ponens,[status(thm)],[194, 3787])).
% 4.49/4.66 tff(3789,plain,
% 4.49/4.66 ((~(mult(mult(a, b), mult(c, a)) = mult(a, mult(mult(c, a), b)))) | (~(mult(mult(a, mult(c, a)), b) = mult(a, mult(b, mult(c, a)))))),
% 4.49/4.66 inference(unit_resolution,[status(thm)],[735, 3788])).
% 4.49/4.66 tff(3790,plain,
% 4.49/4.66 (~((~(mult(mult(a, b), mult(c, a)) = mult(a, mult(b, mult(c, a))))) | (~(mult(mult(a, mult(c, a)), b) = mult(a, mult(mult(c, a), b)))))),
% 4.49/4.66 inference(unit_resolution,[status(thm)],[201, 3789])).
% 4.49/4.66 tff(3791,plain,
% 4.49/4.66 (mult(mult(a, b), mult(c, a)) = mult(a, mult(b, mult(c, a)))),
% 4.49/4.66 inference(unit_resolution,[status(thm)],[196, 3790])).
% 4.49/4.66 tff(3792,plain,
% 4.49/4.66 (mult(mult(a, mult(b, a)), c) = mult(a, mult(mult(b, a), c))),
% 4.49/4.66 inference(modus_ponens,[status(thm)],[3791, 3778])).
% 4.49/4.66 tff(3793,plain,
% 4.49/4.66 (~(mult(mult(a, mult(b, a)), c) = mult(a, mult(mult(b, a), c)))),
% 4.49/4.66 inference(unit_resolution,[status(thm)],[3731, 3791, 2832, 3448])).
% 4.49/4.66 tff(3794,plain,
% 4.49/4.66 ($false),
% 4.49/4.66 inference(unit_resolution,[status(thm)],[3793, 3792])).
% 4.49/4.66 tff(3795,plain,(((~(mult(mult(a, mult(a, b)), c) = mult(a, mult(c, mult(a, b))))) | (~(mult(mult(a, c), mult(a, b)) = mult(a, mult(mult(a, b), c))))) | (~(mult(mult(b, a), c) = mult(b, mult(c, a)))) | (~(mult(mult(mult(a, a), b), c) = mult(mult(a, a), mult(c, b)))) | (~(mult(mult(a, a), mult(c, b)) = mult(a, mult(mult(c, b), a)))) | (~(mult(mult(c, b), a) = mult(c, mult(a, b)))) | (mult(mult(a, a), b) = mult(a, mult(a, b))) | (~(mult(mult(a, mult(c, b)), a) = mult(a, mult(a, mult(c, b))))) | (~(mult(mult(mult(a, c), a), b) = mult(mult(a, c), mult(a, b)))) | (~(mult(mult(b, mult(c, a)), a) = mult(b, mult(a, mult(c, a))))) | (~(mult(mult(a, b), c) = mult(a, mult(c, b)))) | (mult(mult(a, c), b) = mult(a, mult(c, b)))), inference(lemma,lemma(discharge,[]))).
% 4.49/4.66 tff(3796,plain,
% 4.49/4.66 ((~(mult(mult(a, mult(a, b)), c) = mult(a, mult(c, mult(a, b))))) | (~(mult(mult(a, c), mult(a, b)) = mult(a, mult(mult(a, b), c))))),
% 4.49/4.66 inference(unit_resolution,[status(thm)],[3795, 447, 3448, 320, 2110, 2832, 89, 3766, 3635, 106, 41])).
% 4.49/4.66 tff(3797,plain,
% 4.49/4.66 (~((~(mult(mult(a, mult(a, b)), c) = mult(a, mult(mult(a, b), c)))) | (~(mult(mult(a, c), mult(a, b)) = mult(a, mult(c, mult(a, b))))))),
% 4.49/4.66 inference(unit_resolution,[status(thm)],[292, 3796])).
% 4.49/4.66 tff(3798,plain,
% 4.49/4.66 (mult(mult(a, mult(a, b)), c) = mult(a, mult(mult(a, b), c))),
% 4.49/4.66 inference(unit_resolution,[status(thm)],[266, 3797])).
% 4.49/4.66 tff(3799,plain,
% 4.49/4.66 (mult(mult(mult(a, b), c), a) = mult(mult(a, b), mult(c, a))),
% 4.49/4.66 inference(unit_resolution,[status(thm)],[2830, 3798, 89, 2835, 106])).
% 4.49/4.66 tff(3800,plain,
% 4.49/4.66 (~(mult(mult(a, c), mult(b, a)) = mult(a, mult(c, mult(b, a))))),
% 4.49/4.66 inference(unit_resolution,[status(thm)],[392, 3799, 93, 106, 342, 41, 89])).
% 4.49/4.66 tff(3801,plain,
% 4.49/4.66 (mult(mult(mult(a, b), a), c) = mult(mult(mult(a, b), c), a)),
% 4.49/4.66 inference(transitivity,[status(thm)],[2875, 3798, 112, 109, 108])).
% 4.49/4.66 tff(3802,plain,
% 4.49/4.66 ((mult(mult(mult(a, b), a), c) = mult(mult(a, b), mult(c, a))) <=> (mult(mult(mult(a, b), c), a) = mult(mult(a, b), mult(c, a)))),
% 4.49/4.66 inference(monotonicity,[status(thm)],[3801])).
% 4.49/4.66 tff(3803,plain,
% 4.49/4.66 ((mult(mult(mult(a, b), c), a) = mult(mult(a, b), mult(c, a))) <=> (mult(mult(mult(a, b), a), c) = mult(mult(a, b), mult(c, a)))),
% 4.49/4.66 inference(symmetry,[status(thm)],[3802])).
% 4.49/4.66 tff(3804,plain,
% 4.49/4.66 (mult(mult(mult(a, b), a), c) = mult(mult(a, b), mult(c, a))),
% 4.49/4.66 inference(modus_ponens,[status(thm)],[3799, 3803])).
% 4.49/4.66 tff(3805,plain,
% 4.49/4.66 ((~(mult(mult(a, c), mult(b, a)) = mult(a, mult(c, mult(b, a))))) | (~(mult(mult(a, mult(b, a)), c) = mult(a, mult(mult(b, a), c))))),
% 4.49/4.66 inference(unit_resolution,[status(thm)],[120, 3800])).
% 4.49/4.66 tff(3806,plain,
% 4.49/4.66 (~((~(mult(mult(a, c), mult(b, a)) = mult(a, mult(mult(b, a), c)))) | (~(mult(mult(a, mult(b, a)), c) = mult(a, mult(c, mult(b, a))))))),
% 4.49/4.66 inference(unit_resolution,[status(thm)],[132, 3805])).
% 4.49/4.66 tff(3807,plain,
% 4.49/4.66 (mult(mult(a, mult(b, a)), c) = mult(a, mult(c, mult(b, a)))),
% 4.49/4.66 inference(unit_resolution,[status(thm)],[217, 3806])).
% 4.49/4.66 tff(3808,plain,
% 4.49/4.66 (mult(a, mult(c, mult(b, a))) = mult(mult(a, mult(b, a)), c)),
% 4.49/4.66 inference(symmetry,[status(thm)],[3807])).
% 4.49/4.66 tff(3809,plain,
% 4.49/4.66 (mult(a, mult(mult(c, a), b)) = mult(a, mult(mult(c, b), a))),
% 4.49/4.66 inference(transitivity,[status(thm)],[352, 3808, 3662, 447, 320])).
% 4.49/4.66 tff(3810,plain,
% 4.49/4.66 (mult(mult(a, b), mult(c, a)) = mult(mult(mult(a, b), c), a)),
% 4.49/4.66 inference(symmetry,[status(thm)],[3799])).
% 4.49/4.66 tff(3811,plain,
% 4.49/4.66 (mult(mult(a, b), mult(c, a)) = mult(mult(a, mult(c, b)), a)),
% 4.49/4.66 inference(transitivity,[status(thm)],[3810, 107])).
% 4.49/4.66 tff(3812,plain,
% 4.49/4.66 ((mult(mult(a, b), mult(c, a)) = mult(a, mult(mult(c, a), b))) <=> (mult(mult(a, mult(c, b)), a) = mult(a, mult(mult(c, b), a)))),
% 4.49/4.66 inference(monotonicity,[status(thm)],[3811, 3809])).
% 4.49/4.66 tff(3813,plain,
% 4.49/4.66 ((mult(mult(a, mult(c, b)), a) = mult(a, mult(mult(c, b), a))) <=> (mult(mult(a, b), mult(c, a)) = mult(a, mult(mult(c, a), b)))),
% 4.49/4.66 inference(symmetry,[status(thm)],[3812])).
% 4.49/4.66 tff(3814,plain,
% 4.49/4.66 ((~(mult(mult(a, mult(c, b)), a) = mult(a, mult(mult(c, b), a)))) <=> (~(mult(mult(a, b), mult(c, a)) = mult(a, mult(mult(c, a), b))))),
% 4.49/4.66 inference(monotonicity,[status(thm)],[3813])).
% 4.49/4.66 tff(3815,plain,
% 4.49/4.66 (~(mult(mult(a, b), mult(c, a)) = mult(a, mult(mult(c, a), b)))),
% 4.49/4.67 inference(modus_ponens,[status(thm)],[78, 3814])).
% 4.49/4.67 tff(3816,plain,
% 4.49/4.67 (mult(mult(a, mult(c, a)), b) = mult(a, mult(mult(c, a), b))),
% 4.49/4.67 inference(unit_resolution,[status(thm)],[739, 2752])).
% 4.49/4.67 tff(3817,plain,
% 4.49/4.67 (mult(mult(mult(a, c), a), b) = mult(mult(a, mult(c, a)), b)),
% 4.49/4.67 inference(symmetry,[status(thm)],[3782])).
% 4.49/4.67 tff(3818,plain,
% 4.49/4.67 (mult(a, mult(b, mult(c, a))) = mult(mult(a, b), mult(c, a))),
% 4.49/4.67 inference(symmetry,[status(thm)],[2753])).
% 4.49/4.67 tff(3819,plain,
% 4.49/4.67 (mult(mult(a, c), mult(b, a)) = mult(mult(a, b), mult(c, a))),
% 4.49/4.67 inference(transitivity,[status(thm)],[135, 3712, 3818])).
% 4.49/4.67 tff(3820,plain,
% 4.49/4.67 (mult(mult(mult(a, c), a), b) = mult(a, mult(mult(c, a), b))),
% 4.49/4.67 inference(transitivity,[status(thm)],[3817, 3816])).
% 4.49/4.67 tff(3821,plain,
% 4.49/4.67 ((mult(mult(mult(a, c), a), b) = mult(mult(a, c), mult(b, a))) <=> (mult(a, mult(mult(c, a), b)) = mult(mult(a, b), mult(c, a)))),
% 4.49/4.67 inference(monotonicity,[status(thm)],[3820, 3819])).
% 4.49/4.67 tff(3822,plain,
% 4.49/4.67 ((mult(mult(mult(a, c), a), b) = mult(mult(a, c), mult(b, a))) <=> (mult(mult(a, b), mult(c, a)) = mult(a, mult(mult(c, a), b)))),
% 4.49/4.67 inference(transitivity,[status(thm)],[3821, 2665])).
% 4.49/4.67 tff(3823,plain,
% 4.49/4.67 ((mult(mult(a, b), mult(c, a)) = mult(a, mult(mult(c, a), b))) <=> (mult(mult(mult(a, c), a), b) = mult(mult(a, c), mult(b, a)))),
% 4.49/4.67 inference(symmetry,[status(thm)],[3822])).
% 4.49/4.67 tff(3824,plain,
% 4.49/4.67 ((~(mult(mult(a, b), mult(c, a)) = mult(a, mult(mult(c, a), b)))) <=> (~(mult(mult(mult(a, c), a), b) = mult(mult(a, c), mult(b, a))))),
% 4.49/4.67 inference(monotonicity,[status(thm)],[3823])).
% 4.49/4.67 tff(3825,plain,
% 4.49/4.67 (~(mult(mult(mult(a, c), a), b) = mult(mult(a, c), mult(b, a)))),
% 4.49/4.67 inference(modus_ponens,[status(thm)],[2750, 3824])).
% 4.49/4.67 tff(3826,plain,
% 4.49/4.67 ((~(mult(mult(mult(a, c), a), b) = mult(mult(a, c), mult(b, a)))) | (~(mult(mult(mult(a, c), b), a) = mult(mult(a, c), mult(a, b))))),
% 4.49/4.67 inference(unit_resolution,[status(thm)],[954, 3825])).
% 4.49/4.67 tff(3827,plain,
% 4.49/4.67 (~((~(mult(mult(mult(a, c), a), b) = mult(mult(a, c), mult(a, b)))) | (~(mult(mult(mult(a, c), b), a) = mult(mult(a, c), mult(b, a)))))),
% 4.49/4.67 inference(unit_resolution,[status(thm)],[589, 3826])).
% 4.49/4.67 tff(3828,plain,
% 4.49/4.67 (mult(mult(mult(a, c), a), b) = mult(mult(a, c), mult(a, b))),
% 4.49/4.67 inference(unit_resolution,[status(thm)],[1238, 3827])).
% 4.49/4.67 tff(3829,plain,
% 4.49/4.67 (mult(mult(a, c), mult(a, b)) = mult(mult(mult(a, c), a), b)),
% 4.49/4.67 inference(symmetry,[status(thm)],[3828])).
% 4.49/4.67 tff(3830,plain,
% 4.49/4.67 (mult(a, mult(c, mult(b, a))) = mult(mult(a, mult(b, a)), c)),
% 4.49/4.67 inference(symmetry,[status(thm)],[218])).
% 4.49/4.67 tff(3831,plain,
% 4.49/4.67 (mult(a, mult(c, mult(b, a))) = mult(a, mult(mult(b, a), c))),
% 4.49/4.67 inference(transitivity,[status(thm)],[3830, 2150, 2431, 754, 3767])).
% 4.49/4.67 tff(3832,plain,
% 4.49/4.67 ((mult(mult(a, c), mult(b, a)) = mult(a, mult(c, mult(b, a)))) <=> (mult(mult(a, c), mult(b, a)) = mult(a, mult(mult(b, a), c)))),
% 4.49/4.67 inference(monotonicity,[status(thm)],[3831])).
% 4.49/4.67 tff(3833,plain,
% 4.49/4.67 ((mult(mult(a, c), mult(b, a)) = mult(a, mult(mult(b, a), c))) <=> (mult(mult(a, c), mult(b, a)) = mult(a, mult(c, mult(b, a))))),
% 4.49/4.67 inference(symmetry,[status(thm)],[3832])).
% 4.49/4.67 tff(3834,plain,
% 4.49/4.67 (mult(mult(a, c), mult(b, a)) = mult(a, mult(c, mult(b, a)))),
% 4.49/4.67 inference(modus_ponens,[status(thm)],[135, 3833])).
% 4.49/4.67 tff(3835,plain,
% 4.49/4.67 ($false),
% 4.49/4.67 inference(unit_resolution,[status(thm)],[119, 3834])).
% 4.49/4.67 tff(3836,plain,((mult(mult(a, c), mult(b, a)) = mult(a, mult(c, mult(b, a)))) | (~(mult(mult(a, b), mult(c, a)) = mult(a, mult(b, mult(c, a))))) | (~(mult(mult(mult(a, b), a), c) = mult(mult(a, b), mult(c, a)))) | (~(mult(mult(a, b), a) = mult(a, mult(b, a)))) | (~(mult(mult(b, a), c) = mult(b, mult(c, a))))), inference(lemma,lemma(discharge,[]))).
% 4.49/4.67 tff(3837,plain,
% 4.49/4.67 (~(mult(mult(a, b), a) = mult(a, mult(b, a)))),
% 4.49/4.67 inference(unit_resolution,[status(thm)],[3836, 119, 2431, 2753, 3448])).
% 4.49/4.67 tff(3838,plain,
% 4.49/4.67 ((~(mult(mult(a, a), b) = mult(a, mult(a, b)))) | (~(mult(mult(a, b), a) = mult(a, mult(b, a))))),
% 4.49/4.67 inference(unit_resolution,[status(thm)],[232, 3837])).
% 4.49/4.67 tff(3839,plain,
% 4.49/4.67 (~((~(mult(mult(a, a), b) = mult(a, mult(b, a)))) | (~(mult(mult(a, b), a) = mult(a, mult(a, b)))))),
% 4.49/4.67 inference(unit_resolution,[status(thm)],[244, 3838])).
% 4.49/4.67 tff(3840,plain,
% 4.49/4.67 (mult(mult(a, b), a) = mult(a, mult(a, b))),
% 4.49/4.67 inference(unit_resolution,[status(thm)],[246, 3839])).
% 4.49/4.67 tff(3841,plain,
% 4.49/4.67 (mult(a, mult(a, b)) = mult(mult(a, b), a)),
% 4.49/4.67 inference(symmetry,[status(thm)],[3840])).
% 4.49/4.67 tff(3842,plain,
% 4.49/4.67 (mult(mult(a, mult(a, b)), c) = mult(mult(mult(a, b), a), c)),
% 4.49/4.67 inference(monotonicity,[status(thm)],[3841])).
% 4.49/4.67 tff(3843,plain,
% 4.49/4.67 ((~![B: $i, A: $i] : (rd(mult(A, B), B) = A)) | (rd(mult(mult(mult(c, a), b), a), a) = mult(mult(c, a), b))),
% 4.49/4.67 inference(quant_inst,[status(thm)],[])).
% 4.49/4.67 tff(3844,plain,
% 4.49/4.67 (rd(mult(mult(mult(c, a), b), a), a) = mult(mult(c, a), b)),
% 4.49/4.67 inference(unit_resolution,[status(thm)],[3843, 72])).
% 4.49/4.67 tff(3845,plain,
% 4.49/4.67 (mult(mult(mult(c, a), b), a) = mult(c, mult(mult(a, b), a))),
% 4.49/4.67 inference(unit_resolution,[status(thm)],[2805, 860])).
% 4.49/4.67 tff(3846,plain,
% 4.49/4.67 (mult(c, mult(mult(a, b), a)) = mult(mult(mult(c, a), b), a)),
% 4.49/4.67 inference(symmetry,[status(thm)],[3845])).
% 4.49/4.67 tff(3847,plain,
% 4.49/4.67 (mult(mult(c, mult(a, b)), a) = mult(c, mult(mult(a, b), a))),
% 4.49/4.67 inference(unit_resolution,[status(thm)],[2931, 3840])).
% 4.49/4.67 tff(3848,plain,
% 4.49/4.67 (mult(mult(c, mult(a, b)), a) = mult(mult(mult(c, a), b), a)),
% 4.49/4.67 inference(transitivity,[status(thm)],[3847, 3846])).
% 4.49/4.67 tff(3849,plain,
% 4.49/4.67 (rd(mult(mult(c, mult(a, b)), a), a) = rd(mult(mult(mult(c, a), b), a), a)),
% 4.49/4.67 inference(monotonicity,[status(thm)],[3848])).
% 4.49/4.67 tff(3850,plain,
% 4.49/4.67 ((~![B: $i, A: $i] : (rd(mult(A, B), B) = A)) | (rd(mult(mult(c, mult(a, b)), a), a) = mult(c, mult(a, b)))),
% 4.49/4.67 inference(quant_inst,[status(thm)],[])).
% 4.49/4.67 tff(3851,plain,
% 4.49/4.67 (rd(mult(mult(c, mult(a, b)), a), a) = mult(c, mult(a, b))),
% 4.49/4.67 inference(unit_resolution,[status(thm)],[3850, 72])).
% 4.49/4.67 tff(3852,plain,
% 4.49/4.67 (mult(c, mult(a, b)) = rd(mult(mult(c, mult(a, b)), a), a)),
% 4.49/4.67 inference(symmetry,[status(thm)],[3851])).
% 4.49/4.67 tff(3853,plain,
% 4.49/4.67 (mult(c, mult(a, b)) = mult(mult(c, a), b)),
% 4.49/4.67 inference(transitivity,[status(thm)],[3852, 3849, 3844])).
% 4.49/4.67 tff(3854,plain,
% 4.49/4.67 (mult(a, mult(c, mult(a, b))) = mult(a, mult(mult(c, a), b))),
% 4.49/4.67 inference(monotonicity,[status(thm)],[3853])).
% 4.49/4.67 tff(3855,plain,
% 4.49/4.67 (mult(mult(a, mult(a, b)), c) = mult(mult(a, b), mult(c, a))),
% 4.49/4.67 inference(transitivity,[status(thm)],[3842, 2431])).
% 4.49/4.67 tff(3856,plain,
% 4.49/4.67 ((mult(mult(a, mult(a, b)), c) = mult(a, mult(c, mult(a, b)))) <=> (mult(mult(a, b), mult(c, a)) = mult(a, mult(mult(c, a), b)))),
% 4.49/4.67 inference(monotonicity,[status(thm)],[3855, 3854])).
% 4.49/4.67 tff(3857,plain,
% 4.49/4.67 ((mult(mult(a, b), mult(c, a)) = mult(a, mult(mult(c, a), b))) <=> (mult(mult(a, mult(a, b)), c) = mult(a, mult(c, mult(a, b))))),
% 4.49/4.67 inference(symmetry,[status(thm)],[3856])).
% 4.49/4.67 tff(3858,plain,
% 4.49/4.67 ((~(mult(mult(a, b), mult(c, a)) = mult(a, mult(mult(c, a), b)))) <=> (~(mult(mult(a, mult(a, b)), c) = mult(a, mult(c, mult(a, b)))))),
% 4.49/4.67 inference(monotonicity,[status(thm)],[3857])).
% 4.49/4.67 tff(3859,plain,
% 4.49/4.67 (~(mult(mult(a, mult(a, b)), c) = mult(a, mult(c, mult(a, b))))),
% 4.49/4.67 inference(modus_ponens,[status(thm)],[2750, 3858])).
% 4.49/4.67 tff(3860,plain,
% 4.49/4.67 ((~(mult(mult(a, mult(a, b)), c) = mult(a, mult(c, mult(a, b))))) | (~(mult(mult(a, c), mult(a, b)) = mult(a, mult(mult(a, b), c))))),
% 4.49/4.67 inference(unit_resolution,[status(thm)],[287, 3859])).
% 4.49/4.67 tff(3861,plain,
% 4.49/4.67 (~((~(mult(mult(a, mult(a, b)), c) = mult(a, mult(mult(a, b), c)))) | (~(mult(mult(a, c), mult(a, b)) = mult(a, mult(c, mult(a, b))))))),
% 4.49/4.67 inference(unit_resolution,[status(thm)],[292, 3860])).
% 4.49/4.67 tff(3862,plain,
% 4.49/4.67 (mult(mult(a, mult(a, b)), c) = mult(a, mult(mult(a, b), c))),
% 4.49/4.67 inference(unit_resolution,[status(thm)],[266, 3861])).
% 4.49/4.67 tff(3863,plain,
% 4.49/4.67 (mult(a, mult(mult(a, b), c)) = mult(mult(a, mult(a, b)), c)),
% 4.49/4.67 inference(symmetry,[status(thm)],[3862])).
% 4.49/4.67 tff(3864,plain,
% 4.49/4.67 (mult(a, mult(mult(a, b), c)) = mult(a, mult(b, mult(c, a)))),
% 4.49/4.67 inference(transitivity,[status(thm)],[3863, 3842, 2431, 2753])).
% 4.49/4.67 tff(3865,plain,
% 4.49/4.67 (ld(a, mult(a, mult(mult(a, b), c))) = ld(a, mult(a, mult(b, mult(c, a))))),
% 4.49/4.67 inference(monotonicity,[status(thm)],[3864])).
% 4.49/4.67 tff(3866,plain,
% 4.49/4.67 (mult(mult(a, b), c) = mult(mult(b, a), c)),
% 4.49/4.67 inference(transitivity,[status(thm)],[561, 3865, 77, 3456])).
% 4.49/4.67 tff(3867,plain,
% 4.49/4.67 (rd(mult(mult(a, b), c), c) = rd(mult(mult(b, a), c), c)),
% 4.49/4.67 inference(monotonicity,[status(thm)],[3866])).
% 4.49/4.67 tff(3868,plain,
% 4.49/4.67 (mult(a, b) = mult(b, a)),
% 4.49/4.67 inference(transitivity,[status(thm)],[985, 3867, 414])).
% 4.49/4.67 tff(3869,plain,
% 4.49/4.67 (mult(mult(a, c), mult(a, b)) = mult(mult(a, c), mult(b, a))),
% 4.49/4.67 inference(monotonicity,[status(thm)],[3868])).
% 4.49/4.67 tff(3870,plain,
% 4.49/4.67 (mult(mult(a, c), mult(b, a)) = mult(mult(a, c), mult(a, b))),
% 4.49/4.67 inference(symmetry,[status(thm)],[3869])).
% 4.49/4.67 tff(3871,plain,
% 4.49/4.67 (mult(mult(a, b), mult(c, a)) = mult(a, mult(mult(c, a), b))),
% 4.49/4.67 inference(transitivity,[status(thm)],[2753, 3767, 1626, 3870, 3829, 3817, 3816])).
% 4.49/4.67 tff(3872,plain,
% 4.49/4.67 ($false),
% 4.49/4.67 inference(unit_resolution,[status(thm)],[2750, 3871])).
% 4.49/4.67 tff(3873,plain,((mult(mult(a, c), mult(b, a)) = mult(a, mult(c, mult(b, a)))) | (mult(mult(a, b), mult(c, a)) = mult(a, mult(mult(c, a), b))) | (~(mult(mult(b, a), c) = mult(b, mult(c, a)))) | (~(mult(mult(mult(a, b), a), c) = mult(mult(a, b), mult(c, a)))) | (~(mult(mult(b, mult(c, a)), a) = mult(b, mult(a, mult(c, a)))))), inference(lemma,lemma(discharge,[]))).
% 4.49/4.67 tff(3874,plain,
% 4.49/4.67 ($false),
% 4.49/4.67 inference(unit_resolution,[status(thm)],[3873, 3815, 3804, 3448, 3800, 3635])).
% 4.49/4.67 tff(3875,plain,((~(mult(mult(mult(a, a), b), c) = mult(mult(a, a), mult(c, b)))) | (~(mult(mult(b, a), c) = mult(b, mult(c, a)))) | (~(mult(mult(b, mult(c, a)), a) = mult(b, mult(a, mult(c, a))))) | (mult(mult(a, mult(c, b)), a) = mult(a, mult(mult(c, b), a))) | (~(mult(mult(c, a), b) = mult(c, mult(b, a)))) | (~(mult(mult(a, b), c) = mult(a, mult(c, b)))) | (~(mult(mult(mult(a, c), b), a) = mult(mult(a, c), mult(b, a)))) | (mult(mult(a, c), b) = mult(a, mult(c, b))) | (mult(mult(a, a), b) = mult(a, mult(a, b))) | (~(mult(mult(mult(a, c), a), b) = mult(mult(a, c), mult(a, b))))), inference(lemma,lemma(discharge,[]))).
% 4.49/4.67 tff(3876,plain,
% 4.49/4.67 (~(mult(mult(mult(a, a), b), c) = mult(mult(a, a), mult(c, b)))),
% 4.49/4.67 inference(unit_resolution,[status(thm)],[3875, 78, 3635, 3448, 3763, 3593, 3757, 3600, 2832, 3705])).
% 4.49/4.67 tff(3877,plain,
% 4.49/4.67 ((~(mult(mult(mult(a, a), b), c) = mult(mult(a, a), mult(c, b)))) | (~(mult(mult(mult(a, a), c), b) = mult(mult(a, a), mult(b, c))))),
% 4.49/4.67 inference(unit_resolution,[status(thm)],[326, 3876])).
% 4.49/4.67 tff(3878,plain,
% 4.49/4.67 (~((~(mult(mult(mult(a, a), b), c) = mult(mult(a, a), mult(b, c)))) | (~(mult(mult(mult(a, a), c), b) = mult(mult(a, a), mult(c, b)))))),
% 4.49/4.67 inference(unit_resolution,[status(thm)],[338, 3877])).
% 4.49/4.67 tff(3879,plain,
% 4.49/4.67 (mult(mult(mult(a, a), b), c) = mult(mult(a, a), mult(b, c))),
% 4.49/4.67 inference(unit_resolution,[status(thm)],[317, 3878])).
% 4.49/4.67 tff(3880,plain,
% 4.49/4.67 (mult(mult(a, mult(c, a)), b) = mult(mult(mult(a, b), c), a)),
% 4.49/4.67 inference(transitivity,[status(thm)],[3782, 3705, 593, 112, 369, 108])).
% 4.49/4.67 tff(3881,plain,
% 4.49/4.67 ((mult(mult(a, mult(c, a)), b) = mult(a, mult(b, mult(c, a)))) <=> (mult(mult(mult(a, b), c), a) = mult(a, mult(b, mult(c, a))))),
% 4.49/4.67 inference(monotonicity,[status(thm)],[3880])).
% 4.49/4.67 tff(3882,plain,
% 4.49/4.67 ((mult(mult(a, mult(c, a)), b) = mult(a, mult(b, mult(c, a)))) <=> (mult(a, mult(b, mult(c, a))) = mult(mult(mult(a, b), c), a))),
% 4.49/4.67 inference(transitivity,[status(thm)],[3881, 15])).
% 4.49/4.67 tff(3883,plain,
% 4.49/4.67 ((mult(a, mult(b, mult(c, a))) = mult(mult(mult(a, b), c), a)) <=> (mult(mult(a, mult(c, a)), b) = mult(a, mult(b, mult(c, a))))),
% 4.49/4.67 inference(symmetry,[status(thm)],[3882])).
% 4.49/4.67 tff(3884,plain,
% 4.49/4.67 ((~(mult(a, mult(b, mult(c, a))) = mult(mult(mult(a, b), c), a))) <=> (~(mult(mult(a, mult(c, a)), b) = mult(a, mult(b, mult(c, a)))))),
% 4.49/4.67 inference(monotonicity,[status(thm)],[3883])).
% 4.49/4.67 tff(3885,plain,
% 4.49/4.67 (~(mult(mult(a, mult(c, a)), b) = mult(a, mult(b, mult(c, a))))),
% 4.49/4.67 inference(modus_ponens,[status(thm)],[194, 3884])).
% 4.49/4.67 tff(3886,plain,
% 4.49/4.67 ((~(mult(mult(a, b), mult(c, a)) = mult(a, mult(mult(c, a), b)))) | (~(mult(mult(a, mult(c, a)), b) = mult(a, mult(b, mult(c, a)))))),
% 4.49/4.67 inference(unit_resolution,[status(thm)],[735, 3885])).
% 4.49/4.67 tff(3887,plain,
% 4.49/4.67 (~((~(mult(mult(a, b), mult(c, a)) = mult(a, mult(b, mult(c, a))))) | (~(mult(mult(a, mult(c, a)), b) = mult(a, mult(mult(c, a), b)))))),
% 4.49/4.67 inference(unit_resolution,[status(thm)],[201, 3886])).
% 4.49/4.67 tff(3888,plain,
% 4.49/4.67 (mult(mult(a, b), mult(c, a)) = mult(a, mult(b, mult(c, a)))),
% 4.49/4.67 inference(unit_resolution,[status(thm)],[196, 3887])).
% 4.49/4.67 tff(3889,plain,
% 4.49/4.67 (~(mult(mult(a, mult(b, a)), c) = mult(a, mult(mult(b, a), c)))),
% 4.49/4.67 inference(unit_resolution,[status(thm)],[3731, 3888, 2832, 3448])).
% 4.49/4.67 tff(3890,plain,
% 4.49/4.67 ((~(mult(mult(a, c), mult(b, a)) = mult(a, mult(c, mult(b, a))))) | (~(mult(mult(a, mult(b, a)), c) = mult(a, mult(mult(b, a), c))))),
% 4.49/4.67 inference(unit_resolution,[status(thm)],[1395, 3889])).
% 4.49/4.67 tff(3891,plain,
% 4.49/4.67 (~((~(mult(mult(a, c), mult(b, a)) = mult(a, mult(mult(b, a), c)))) | (~(mult(mult(a, mult(b, a)), c) = mult(a, mult(c, mult(b, a))))))),
% 4.49/4.67 inference(unit_resolution,[status(thm)],[132, 3890])).
% 4.49/4.67 tff(3892,plain,
% 4.49/4.67 (mult(a, mult(mult(b, c), a)) = mult(a, mult(b, mult(a, c)))),
% 4.49/4.67 inference(monotonicity,[status(thm)],[3449])).
% 4.49/4.67 tff(3893,plain,
% 4.49/4.67 (mult(a, mult(b, mult(a, c))) = mult(a, mult(mult(b, c), a))),
% 4.49/4.67 inference(symmetry,[status(thm)],[3892])).
% 4.49/4.67 tff(3894,assumption,((~(mult(mult(a, mult(a, c)), b) = mult(a, mult(b, mult(a, c))))) | (~(mult(mult(a, b), mult(a, c)) = mult(a, mult(mult(a, c), b))))), introduced(assumption)).
% 4.49/4.67 tff(3895,plain,
% 4.49/4.67 (~((~(mult(mult(a, mult(a, c)), b) = mult(a, mult(mult(a, c), b)))) | (~(mult(mult(a, b), mult(a, c)) = mult(a, mult(b, mult(a, c))))))),
% 4.49/4.67 inference(unit_resolution,[status(thm)],[142, 30, 3894])).
% 4.49/4.67 tff(3896,plain,
% 4.49/4.67 (mult(mult(a, b), mult(a, c)) = mult(a, mult(b, mult(a, c)))),
% 4.49/4.67 inference(unit_resolution,[status(thm)],[145, 3895])).
% 4.49/4.67 tff(3897,plain,
% 4.49/4.67 (mult(mult(a, mult(c, a)), b) = mult(a, mult(mult(c, a), b))),
% 4.49/4.67 inference(unit_resolution,[status(thm)],[739, 3887])).
% 4.49/4.67 tff(3898,plain,
% 4.49/4.67 (mult(a, mult(mult(c, a), b)) = mult(mult(a, mult(c, a)), b)),
% 4.49/4.67 inference(symmetry,[status(thm)],[3897])).
% 4.49/4.67 tff(3899,plain,
% 4.49/4.67 (mult(mult(a, mult(b, a)), c) = mult(a, mult(c, mult(b, a)))),
% 4.49/4.67 inference(unit_resolution,[status(thm)],[217, 3891])).
% 4.49/4.67 tff(3900,plain,
% 4.49/4.67 (mult(mult(mult(a, a), b), c) = mult(mult(a, mult(b, a)), c)),
% 4.49/4.67 inference(monotonicity,[status(thm)],[2846])).
% 4.49/4.67 tff(3901,plain,
% 4.49/4.67 (mult(mult(a, a), mult(b, c)) = mult(a, mult(mult(b, c), a))),
% 4.49/4.67 inference(transitivity,[status(thm)],[2901, 3900, 3899, 1282, 3898, 3782, 3705, 593, 112, 369, 108, 168, 3896, 3893])).
% 4.49/4.67 tff(3902,plain,
% 4.49/4.67 (mult(a, mult(b, mult(a, c))) = mult(mult(a, b), mult(a, c))),
% 4.49/4.67 inference(symmetry,[status(thm)],[3896])).
% 4.49/4.67 tff(3903,plain,
% 4.49/4.67 (mult(a, mult(mult(b, c), a)) = mult(mult(mult(a, c), a), b)),
% 4.49/4.67 inference(transitivity,[status(thm)],[3892, 3902, 403, 107, 249, 111, 948, 3706])).
% 4.49/4.67 tff(3904,plain,
% 4.49/4.67 (mult(mult(a, mult(b, c)), a) = mult(mult(a, c), mult(b, a))),
% 4.49/4.67 inference(transitivity,[status(thm)],[215, 3757])).
% 4.49/4.67 tff(3905,plain,
% 4.49/4.67 ((mult(mult(a, mult(b, c)), a) = mult(a, mult(mult(b, c), a))) <=> (mult(mult(a, c), mult(b, a)) = mult(mult(mult(a, c), a), b))),
% 4.49/4.67 inference(monotonicity,[status(thm)],[3904, 3903])).
% 4.49/4.67 tff(3906,plain,
% 4.49/4.67 ((mult(mult(a, mult(b, c)), a) = mult(a, mult(mult(b, c), a))) <=> (mult(mult(mult(a, c), a), b) = mult(mult(a, c), mult(b, a)))),
% 4.49/4.67 inference(transitivity,[status(thm)],[3905, 935])).
% 4.49/4.67 tff(3907,plain,
% 4.49/4.67 ((mult(mult(mult(a, c), a), b) = mult(mult(a, c), mult(b, a))) <=> (mult(mult(a, mult(b, c)), a) = mult(a, mult(mult(b, c), a)))),
% 4.49/4.67 inference(symmetry,[status(thm)],[3906])).
% 4.49/4.67 tff(3908,plain,
% 4.49/4.67 ((~(mult(mult(mult(a, c), a), b) = mult(mult(a, c), mult(b, a)))) <=> (~(mult(mult(a, mult(b, c)), a) = mult(a, mult(mult(b, c), a))))),
% 4.49/4.67 inference(monotonicity,[status(thm)],[3907])).
% 4.49/4.67 tff(3909,plain,
% 4.49/4.67 (~(mult(mult(a, mult(b, c)), a) = mult(a, mult(mult(b, c), a)))),
% 4.49/4.67 inference(modus_ponens,[status(thm)],[3591, 3908])).
% 4.49/4.67 tff(3910,plain,
% 4.49/4.67 (mult(a, mult(mult(b, a), c)) = mult(mult(a, c), mult(b, a))),
% 4.49/4.67 inference(symmetry,[status(thm)],[2973])).
% 4.49/4.67 tff(3911,plain,
% 4.49/4.67 (mult(a, mult(b, mult(c, a))) = mult(a, mult(mult(b, a), c))),
% 4.49/4.68 inference(monotonicity,[status(thm)],[3456])).
% 4.49/4.68 tff(3912,plain,
% 4.49/4.68 (mult(a, mult(b, mult(c, a))) = mult(mult(a, c), mult(b, a))),
% 4.49/4.68 inference(transitivity,[status(thm)],[3911, 3910])).
% 4.49/4.68 tff(3913,plain,
% 4.49/4.68 ((mult(mult(a, mult(c, a)), b) = mult(a, mult(b, mult(c, a)))) <=> (mult(mult(mult(a, c), a), b) = mult(mult(a, c), mult(b, a)))),
% 4.49/4.68 inference(monotonicity,[status(thm)],[3711, 3912])).
% 4.49/4.68 tff(3914,plain,
% 4.49/4.68 ((mult(mult(mult(a, c), a), b) = mult(mult(a, c), mult(b, a))) <=> (mult(mult(a, mult(c, a)), b) = mult(a, mult(b, mult(c, a))))),
% 4.49/4.68 inference(symmetry,[status(thm)],[3913])).
% 4.49/4.68 tff(3915,plain,
% 4.49/4.68 ((~(mult(mult(mult(a, c), a), b) = mult(mult(a, c), mult(b, a)))) <=> (~(mult(mult(a, mult(c, a)), b) = mult(a, mult(b, mult(c, a)))))),
% 4.49/4.68 inference(monotonicity,[status(thm)],[3914])).
% 4.49/4.68 tff(3916,plain,
% 4.49/4.68 (~(mult(mult(a, mult(c, a)), b) = mult(a, mult(b, mult(c, a))))),
% 4.49/4.68 inference(modus_ponens,[status(thm)],[3591, 3915])).
% 4.49/4.68 tff(3917,plain,
% 4.49/4.68 ((~(mult(mult(a, b), mult(c, a)) = mult(a, mult(mult(c, a), b)))) | (~(mult(mult(a, mult(c, a)), b) = mult(a, mult(b, mult(c, a)))))),
% 4.49/4.68 inference(unit_resolution,[status(thm)],[735, 3916])).
% 4.49/4.68 tff(3918,plain,
% 4.49/4.68 (~((~(mult(mult(a, b), mult(c, a)) = mult(a, mult(b, mult(c, a))))) | (~(mult(mult(a, mult(c, a)), b) = mult(a, mult(mult(c, a), b)))))),
% 4.49/4.68 inference(unit_resolution,[status(thm)],[201, 3917])).
% 4.49/4.68 tff(3919,plain,
% 4.49/4.68 (mult(mult(a, b), mult(c, a)) = mult(a, mult(b, mult(c, a)))),
% 4.49/4.68 inference(unit_resolution,[status(thm)],[196, 3918])).
% 4.49/4.68 tff(3920,plain,
% 4.49/4.68 ((mult(mult(mult(a, b), c), a) = mult(mult(a, b), mult(c, a))) <=> (mult(mult(mult(a, b), c), a) = mult(a, mult(b, mult(c, a))))),
% 4.49/4.68 inference(monotonicity,[status(thm)],[3919])).
% 4.49/4.68 tff(3921,plain,
% 4.49/4.68 ((mult(mult(mult(a, b), c), a) = mult(mult(a, b), mult(c, a))) <=> (mult(a, mult(b, mult(c, a))) = mult(mult(mult(a, b), c), a))),
% 4.49/4.68 inference(transitivity,[status(thm)],[3920, 15])).
% 4.49/4.68 tff(3922,plain,
% 4.49/4.68 ((mult(a, mult(b, mult(c, a))) = mult(mult(mult(a, b), c), a)) <=> (mult(mult(mult(a, b), c), a) = mult(mult(a, b), mult(c, a)))),
% 4.49/4.68 inference(symmetry,[status(thm)],[3921])).
% 4.49/4.68 tff(3923,plain,
% 4.49/4.68 ((~(mult(a, mult(b, mult(c, a))) = mult(mult(mult(a, b), c), a))) <=> (~(mult(mult(mult(a, b), c), a) = mult(mult(a, b), mult(c, a))))),
% 4.49/4.68 inference(monotonicity,[status(thm)],[3922])).
% 4.49/4.68 tff(3924,plain,
% 4.49/4.68 (~(mult(mult(mult(a, b), c), a) = mult(mult(a, b), mult(c, a)))),
% 4.49/4.68 inference(modus_ponens,[status(thm)],[194, 3923])).
% 4.49/4.68 tff(3925,plain,
% 4.49/4.68 ((~(mult(mult(mult(a, b), a), c) = mult(mult(a, b), mult(a, c)))) | (~(mult(mult(mult(a, b), c), a) = mult(mult(a, b), mult(c, a))))),
% 4.49/4.68 inference(unit_resolution,[status(thm)],[185, 3924])).
% 4.49/4.68 tff(3926,plain,
% 4.49/4.68 (mult(a, mult(c, mult(b, a))) = mult(mult(a, mult(b, a)), c)),
% 4.49/4.68 inference(symmetry,[status(thm)],[2966])).
% 4.49/4.68 tff(3927,plain,
% 4.49/4.68 (mult(a, mult(c, mult(b, a))) = mult(a, mult(mult(b, c), a))),
% 4.49/4.68 inference(transitivity,[status(thm)],[3926, 2853, 2629, 104])).
% 4.49/4.68 tff(3928,plain,
% 4.49/4.68 (mult(mult(a, c), mult(b, a)) = mult(mult(mult(a, c), b), a)),
% 4.49/4.68 inference(symmetry,[status(thm)],[3757])).
% 4.49/4.68 tff(3929,plain,
% 4.49/4.68 (mult(mult(a, c), mult(b, a)) = mult(mult(a, mult(b, c)), a)),
% 4.49/4.68 inference(transitivity,[status(thm)],[3928, 511])).
% 4.49/4.68 tff(3930,plain,
% 4.49/4.68 ((mult(mult(a, c), mult(b, a)) = mult(a, mult(c, mult(b, a)))) <=> (mult(mult(a, mult(b, c)), a) = mult(a, mult(mult(b, c), a)))),
% 4.49/4.68 inference(monotonicity,[status(thm)],[3929, 3927])).
% 4.49/4.68 tff(3931,plain,
% 4.49/4.68 ((mult(mult(a, mult(b, c)), a) = mult(a, mult(mult(b, c), a))) <=> (mult(mult(a, c), mult(b, a)) = mult(a, mult(c, mult(b, a))))),
% 4.49/4.68 inference(symmetry,[status(thm)],[3930])).
% 4.49/4.68 tff(3932,plain,
% 4.49/4.68 ((~(mult(mult(a, mult(b, c)), a) = mult(a, mult(mult(b, c), a)))) <=> (~(mult(mult(a, c), mult(b, a)) = mult(a, mult(c, mult(b, a)))))),
% 4.49/4.68 inference(monotonicity,[status(thm)],[3931])).
% 4.49/4.68 tff(3933,plain,
% 4.49/4.68 (~(mult(mult(a, c), mult(b, a)) = mult(a, mult(c, mult(b, a))))),
% 4.49/4.68 inference(modus_ponens,[status(thm)],[1835, 3932])).
% 4.49/4.68 tff(3934,plain,
% 4.49/4.68 (mult(a, mult(mult(c, a), b)) = mult(a, mult(mult(b, c), a))),
% 4.49/4.68 inference(transitivity,[status(thm)],[352, 3926, 2853, 2629, 104])).
% 4.49/4.68 tff(3935,plain,
% 4.49/4.68 (mult(mult(a, b), mult(c, a)) = mult(mult(a, mult(b, c)), a)),
% 4.49/4.68 inference(transitivity,[status(thm)],[3919, 3911, 3910, 3928, 511])).
% 4.49/4.68 tff(3936,plain,
% 4.49/4.68 ((mult(mult(a, b), mult(c, a)) = mult(a, mult(mult(c, a), b))) <=> (mult(mult(a, mult(b, c)), a) = mult(a, mult(mult(b, c), a)))),
% 4.49/4.68 inference(monotonicity,[status(thm)],[3935, 3934])).
% 4.49/4.68 tff(3937,plain,
% 4.49/4.68 ((mult(mult(a, mult(b, c)), a) = mult(a, mult(mult(b, c), a))) <=> (mult(mult(a, b), mult(c, a)) = mult(a, mult(mult(c, a), b)))),
% 4.49/4.68 inference(symmetry,[status(thm)],[3936])).
% 4.49/4.68 tff(3938,plain,
% 4.49/4.68 ((~(mult(mult(a, mult(b, c)), a) = mult(a, mult(mult(b, c), a)))) <=> (~(mult(mult(a, b), mult(c, a)) = mult(a, mult(mult(c, a), b))))),
% 4.49/4.68 inference(monotonicity,[status(thm)],[3937])).
% 4.49/4.68 tff(3939,plain,
% 4.49/4.68 (~(mult(mult(a, b), mult(c, a)) = mult(a, mult(mult(c, a), b)))),
% 4.49/4.68 inference(modus_ponens,[status(thm)],[1835, 3938])).
% 4.49/4.68 tff(3940,plain,
% 4.49/4.68 (~(mult(mult(mult(a, b), a), c) = mult(mult(a, b), mult(c, a)))),
% 4.49/4.68 inference(unit_resolution,[status(thm)],[3873, 3939, 3448, 3933, 3635])).
% 4.49/4.68 tff(3941,plain,
% 4.49/4.68 ((~(mult(mult(mult(a, b), a), c) = mult(mult(a, b), mult(c, a)))) | (~(mult(mult(mult(a, b), c), a) = mult(mult(a, b), mult(a, c))))),
% 4.49/4.68 inference(unit_resolution,[status(thm)],[1690, 3940])).
% 4.49/4.68 tff(3942,plain,
% 4.49/4.68 ($false),
% 4.49/4.68 inference(unit_resolution,[status(thm)],[183, 3941, 3925])).
% 4.49/4.68 tff(3943,plain,(((~(mult(mult(a, c), mult(b, a)) = mult(a, mult(mult(b, a), c)))) | (~(mult(mult(a, mult(b, a)), c) = mult(a, mult(c, mult(b, a)))))) | (~(mult(mult(b, a), c) = mult(b, mult(c, a)))) | (~(mult(mult(b, mult(c, a)), a) = mult(b, mult(a, mult(c, a))))) | (mult(mult(a, mult(b, c)), a) = mult(a, mult(mult(b, c), a))) | (~(mult(mult(mult(a, a), b), c) = mult(mult(a, a), mult(b, c)))) | (~(mult(mult(a, a), mult(b, c)) = mult(a, mult(mult(b, c), a)))) | (~(mult(mult(a, a), b) = mult(a, mult(b, a)))) | (~(mult(mult(c, a), b) = mult(c, mult(b, a)))) | (~(mult(mult(a, c), b) = mult(a, mult(b, c)))) | (mult(mult(mult(a, c), a), b) = mult(mult(a, c), mult(b, a)))), inference(lemma,lemma(discharge,[]))).
% 4.49/4.68 tff(3944,plain,
% 4.49/4.68 ($false),
% 4.49/4.68 inference(unit_resolution,[status(thm)],[3943, 3909, 3901, 3635, 2629, 3448, 3891, 2846, 342, 117, 3591])).
% 4.49/4.68 tff(3945,plain,((~(mult(mult(a, c), mult(a, b)) = mult(a, mult(mult(a, b), c)))) | (~(mult(mult(b, mult(c, a)), a) = mult(b, mult(a, mult(c, a))))) | (~(mult(mult(mult(a, a), b), c) = mult(mult(a, a), mult(b, c)))) | (~(mult(mult(b, a), c) = mult(b, mult(c, a)))) | (~(mult(mult(c, a), b) = mult(c, mult(b, a)))) | (~(mult(mult(a, c), b) = mult(a, mult(b, c)))) | (mult(mult(mult(a, c), a), b) = mult(mult(a, c), mult(b, a))) | (~(mult(mult(mult(a, b), c), a) = mult(mult(a, b), mult(a, c)))) | (~(mult(mult(a, mult(c, b)), a) = mult(a, mult(a, mult(c, b))))) | (~(mult(mult(a, b), c) = mult(a, mult(c, b)))) | (~(mult(mult(b, c), a) = mult(b, mult(a, c)))) | (mult(mult(a, a), b) = mult(a, mult(a, b))) | (~((~(mult(mult(a, mult(a, c)), b) = mult(a, mult(b, mult(a, c))))) | (~(mult(mult(a, b), mult(a, c)) = mult(a, mult(mult(a, c), b))))))), inference(lemma,lemma(discharge,[]))).
% 4.49/4.68 tff(3946,plain,
% 4.49/4.68 (~(mult(mult(a, c), mult(a, b)) = mult(a, mult(mult(a, b), c)))),
% 4.49/4.68 inference(unit_resolution,[status(thm)],[3945, 3879, 3635, 3448, 3763, 1927, 3591, 168, 89, 3593, 3449, 2832, 3765])).
% 4.49/4.68 tff(3947,plain,
% 4.49/4.68 ((~(mult(mult(a, mult(a, b)), c) = mult(a, mult(c, mult(a, b))))) | (~(mult(mult(a, c), mult(a, b)) = mult(a, mult(mult(a, b), c))))),
% 4.49/4.68 inference(unit_resolution,[status(thm)],[601, 3946])).
% 4.49/4.68 tff(3948,plain,
% 4.49/4.68 (~((~(mult(mult(a, mult(a, b)), c) = mult(a, mult(mult(a, b), c)))) | (~(mult(mult(a, c), mult(a, b)) = mult(a, mult(c, mult(a, b))))))),
% 4.49/4.68 inference(unit_resolution,[status(thm)],[292, 3947])).
% 4.49/4.68 tff(3949,plain,
% 4.49/4.68 (mult(mult(a, mult(a, b)), c) = mult(a, mult(mult(a, b), c))),
% 4.49/4.68 inference(unit_resolution,[status(thm)],[266, 3948])).
% 4.49/4.68 tff(3950,plain,
% 4.49/4.68 (mult(mult(mult(a, b), c), a) = mult(mult(a, b), mult(c, a))),
% 4.49/4.68 inference(unit_resolution,[status(thm)],[2830, 3949, 89, 2835, 3593])).
% 4.49/4.68 tff(3951,plain,
% 4.49/4.68 (~(mult(mult(a, c), mult(b, a)) = mult(a, mult(c, mult(b, a))))),
% 4.49/4.68 inference(unit_resolution,[status(thm)],[392, 3950, 3757, 3593, 3763, 3600, 89])).
% 4.49/4.68 tff(3952,plain,
% 4.49/4.68 ((~(mult(mult(a, c), mult(b, a)) = mult(a, mult(c, mult(b, a))))) | (~(mult(mult(a, mult(b, a)), c) = mult(a, mult(mult(b, a), c))))),
% 4.49/4.68 inference(unit_resolution,[status(thm)],[120, 3951])).
% 4.49/4.68 tff(3953,plain,
% 4.49/4.68 (~((~(mult(mult(a, c), mult(b, a)) = mult(a, mult(mult(b, a), c)))) | (~(mult(mult(a, mult(b, a)), c) = mult(a, mult(c, mult(b, a))))))),
% 4.49/4.68 inference(unit_resolution,[status(thm)],[132, 3952])).
% 4.49/4.68 tff(3954,plain,
% 4.49/4.68 (mult(mult(a, mult(b, a)), c) = mult(a, mult(c, mult(b, a)))),
% 4.49/4.68 inference(unit_resolution,[status(thm)],[217, 3953])).
% 4.49/4.68 tff(3955,plain,
% 4.49/4.68 (mult(a, mult(c, mult(b, a))) = mult(mult(a, mult(b, a)), c)),
% 4.49/4.68 inference(symmetry,[status(thm)],[3954])).
% 4.49/4.68 tff(3956,plain,
% 4.49/4.68 (mult(a, mult(mult(c, a), b)) = mult(a, mult(c, mult(b, a)))),
% 4.49/4.68 inference(monotonicity,[status(thm)],[3763])).
% 4.49/4.68 tff(3957,plain,
% 4.49/4.68 (mult(a, mult(mult(c, a), b)) = mult(mult(mult(a, a), b), c)),
% 4.49/4.68 inference(transitivity,[status(thm)],[3956, 3955, 3662])).
% 4.49/4.68 tff(3958,plain,
% 4.49/4.68 (mult(mult(c, b), a) = mult(c, mult(a, b))),
% 4.49/4.68 inference(unit_resolution,[status(thm)],[2109, 3763])).
% 4.49/4.68 tff(3959,plain,
% 4.49/4.68 (mult(a, mult(mult(c, b), a)) = mult(a, mult(c, mult(a, b)))),
% 4.49/4.68 inference(monotonicity,[status(thm)],[3958])).
% 4.49/4.68 tff(3960,plain,
% 4.49/4.68 (mult(a, mult(c, mult(a, b))) = mult(a, mult(mult(c, b), a))),
% 4.49/4.68 inference(symmetry,[status(thm)],[3959])).
% 4.49/4.68 tff(3961,plain,
% 4.49/4.68 (mult(mult(a, c), mult(a, b)) = mult(a, mult(c, mult(a, b)))),
% 4.49/4.68 inference(unit_resolution,[status(thm)],[604, 3948])).
% 4.49/4.68 tff(3962,plain,
% 4.49/4.68 (mult(mult(a, mult(c, a)), b) = mult(mult(a, a), mult(c, b))),
% 4.49/4.68 inference(transitivity,[status(thm)],[3782, 3705, 3961, 3960, 3205])).
% 4.49/4.68 tff(3963,plain,
% 4.49/4.68 ((mult(mult(a, mult(c, a)), b) = mult(a, mult(mult(c, a), b))) <=> (mult(mult(a, a), mult(c, b)) = mult(mult(mult(a, a), b), c))),
% 4.49/4.68 inference(monotonicity,[status(thm)],[3962, 3957])).
% 4.49/4.68 tff(3964,plain,
% 4.49/4.68 ((mult(mult(a, mult(c, a)), b) = mult(a, mult(mult(c, a), b))) <=> (mult(mult(mult(a, a), b), c) = mult(mult(a, a), mult(c, b)))),
% 4.49/4.68 inference(transitivity,[status(thm)],[3963, 3660])).
% 4.49/4.68 tff(3965,plain,
% 4.49/4.68 ((mult(mult(mult(a, a), b), c) = mult(mult(a, a), mult(c, b))) <=> (mult(mult(a, mult(c, a)), b) = mult(a, mult(mult(c, a), b)))),
% 4.49/4.68 inference(symmetry,[status(thm)],[3964])).
% 4.49/4.68 tff(3966,plain,
% 4.49/4.68 ((~(mult(mult(mult(a, a), b), c) = mult(mult(a, a), mult(c, b)))) <=> (~(mult(mult(a, mult(c, a)), b) = mult(a, mult(mult(c, a), b))))),
% 4.49/4.68 inference(monotonicity,[status(thm)],[3965])).
% 4.49/4.68 tff(3967,plain,
% 4.49/4.68 (~(mult(mult(a, mult(c, a)), b) = mult(a, mult(mult(c, a), b)))),
% 4.49/4.68 inference(modus_ponens,[status(thm)],[3876, 3966])).
% 4.49/4.68 tff(3968,plain,
% 4.49/4.68 ((~(mult(mult(a, b), mult(c, a)) = mult(a, mult(b, mult(c, a))))) | (~(mult(mult(a, mult(c, a)), b) = mult(a, mult(mult(c, a), b))))),
% 4.49/4.68 inference(unit_resolution,[status(thm)],[739, 3967])).
% 4.49/4.68 tff(3969,plain,
% 4.49/4.68 (mult(mult(a, c), mult(b, a)) = mult(a, mult(mult(b, a), c))),
% 4.49/4.68 inference(unit_resolution,[status(thm)],[134, 3953])).
% 4.49/4.68 tff(3970,plain,
% 4.49/4.68 (mult(a, mult(mult(b, a), c)) = mult(mult(a, c), mult(b, a))),
% 4.49/4.68 inference(symmetry,[status(thm)],[3969])).
% 4.49/4.68 tff(3971,plain,
% 4.49/4.68 (mult(a, mult(b, mult(c, a))) = mult(mult(a, c), mult(b, a))),
% 4.49/4.68 inference(transitivity,[status(thm)],[3911, 3970])).
% 4.49/4.68 tff(3972,plain,
% 4.49/4.68 ((mult(mult(a, mult(c, a)), b) = mult(a, mult(b, mult(c, a)))) <=> (mult(mult(mult(a, c), a), b) = mult(mult(a, c), mult(b, a)))),
% 4.49/4.68 inference(monotonicity,[status(thm)],[3782, 3971])).
% 4.49/4.68 tff(3973,plain,
% 4.49/4.68 ((mult(mult(mult(a, c), a), b) = mult(mult(a, c), mult(b, a))) <=> (mult(mult(a, mult(c, a)), b) = mult(a, mult(b, mult(c, a))))),
% 4.49/4.68 inference(symmetry,[status(thm)],[3972])).
% 4.49/4.68 tff(3974,plain,
% 4.49/4.68 ((~(mult(mult(mult(a, c), a), b) = mult(mult(a, c), mult(b, a)))) <=> (~(mult(mult(a, mult(c, a)), b) = mult(a, mult(b, mult(c, a)))))),
% 4.49/4.68 inference(monotonicity,[status(thm)],[3973])).
% 4.49/4.68 tff(3975,plain,
% 4.49/4.68 (~(mult(mult(a, mult(c, a)), b) = mult(a, mult(b, mult(c, a))))),
% 4.49/4.68 inference(modus_ponens,[status(thm)],[3591, 3974])).
% 4.49/4.68 tff(3976,plain,
% 4.49/4.68 ((~(mult(mult(a, b), mult(c, a)) = mult(a, mult(mult(c, a), b)))) | (~(mult(mult(a, mult(c, a)), b) = mult(a, mult(b, mult(c, a)))))),
% 4.49/4.68 inference(unit_resolution,[status(thm)],[735, 3975])).
% 4.49/4.68 tff(3977,plain,
% 4.49/4.68 ($false),
% 4.49/4.68 inference(unit_resolution,[status(thm)],[201, 3976, 3968])).
% 4.49/4.68 tff(3978,plain,((mult(mult(a, mult(c, b)), a) = mult(a, mult(mult(c, b), a))) | (mult(mult(mult(a, c), a), b) = mult(mult(a, c), mult(b, a))) | (~(mult(mult(b, a), c) = mult(b, mult(c, a)))) | (~(mult(mult(b, mult(c, a)), a) = mult(b, mult(a, mult(c, a))))) | (~(mult(mult(mult(a, b), c), a) = mult(mult(a, b), mult(a, c)))) | (~(mult(mult(b, c), a) = mult(b, mult(a, c)))) | (mult(mult(a, a), b) = mult(a, mult(a, b))) | (mult(mult(a, b), c) = mult(a, mult(b, c)))), inference(lemma,lemma(discharge,[]))).
% 4.49/4.68 tff(3979,plain,
% 4.49/4.68 (mult(mult(a, mult(c, b)), a) = mult(a, mult(mult(c, b), a))),
% 4.49/4.68 inference(unit_resolution,[status(thm)],[3978, 3659, 3448, 3594, 3591, 3449, 2832, 115])).
% 4.49/4.68 tff(3980,plain,
% 4.49/4.68 (~(mult(mult(mult(a, b), c), a) = mult(mult(a, b), mult(c, a)))),
% 4.49/4.68 inference(unit_resolution,[status(thm)],[3625, 3979, 3448, 3475, 3593])).
% 4.49/4.68 tff(3981,plain,
% 4.49/4.68 ((~(mult(mult(mult(a, b), a), c) = mult(mult(a, b), mult(a, c)))) | (~(mult(mult(mult(a, b), c), a) = mult(mult(a, b), mult(c, a))))),
% 4.49/4.68 inference(unit_resolution,[status(thm)],[185, 3980])).
% 4.49/4.68 tff(3982,plain,
% 4.49/4.68 (~((~(mult(mult(mult(a, b), a), c) = mult(mult(a, b), mult(c, a)))) | (~(mult(mult(mult(a, b), c), a) = mult(mult(a, b), mult(a, c)))))),
% 4.49/4.68 inference(unit_resolution,[status(thm)],[183, 3981])).
% 4.49/4.68 tff(3983,plain,
% 4.49/4.68 (mult(mult(mult(a, b), a), c) = mult(mult(a, b), mult(c, a))),
% 4.49/4.68 inference(unit_resolution,[status(thm)],[1690, 3982])).
% 4.49/4.68 tff(3984,plain,
% 4.49/4.68 (mult(mult(a, b), mult(c, a)) = mult(mult(mult(a, b), a), c)),
% 4.49/4.68 inference(symmetry,[status(thm)],[3983])).
% 4.49/4.68 tff(3985,plain,
% 4.49/4.68 ((mult(mult(mult(a, b), c), a) = mult(mult(a, b), mult(c, a))) <=> (mult(mult(a, b), mult(a, c)) = mult(mult(mult(a, b), a), c))),
% 4.49/4.68 inference(monotonicity,[status(thm)],[3659, 3984])).
% 4.49/4.68 tff(3986,plain,
% 4.49/4.68 ((mult(mult(mult(a, b), c), a) = mult(mult(a, b), mult(c, a))) <=> (mult(mult(mult(a, b), a), c) = mult(mult(a, b), mult(a, c)))),
% 4.49/4.68 inference(transitivity,[status(thm)],[3985, 3592])).
% 4.49/4.68 tff(3987,plain,
% 4.49/4.68 ((mult(mult(mult(a, b), a), c) = mult(mult(a, b), mult(a, c))) <=> (mult(mult(mult(a, b), c), a) = mult(mult(a, b), mult(c, a)))),
% 4.49/4.68 inference(symmetry,[status(thm)],[3986])).
% 4.49/4.68 tff(3988,plain,
% 4.49/4.68 (mult(mult(c, a), b) = mult(c, mult(b, a))),
% 4.49/4.68 inference(unit_resolution,[status(thm)],[3762, 3600, 3593, 3594, 3448, 2832, 3591])).
% 4.49/4.68 tff(3989,plain,
% 4.49/4.68 (mult(mult(c, b), a) = mult(c, mult(a, b))),
% 4.49/4.68 inference(unit_resolution,[status(thm)],[2109, 3988])).
% 4.49/4.68 tff(3990,plain,
% 4.49/4.68 ((mult(mult(mult(a, c), a), b) = mult(mult(a, c), mult(b, a))) <=> (mult(mult(a, c), mult(a, b)) = mult(mult(a, c), mult(b, a)))),
% 4.49/4.68 inference(monotonicity,[status(thm)],[3705])).
% 4.49/4.68 tff(3991,plain,
% 4.49/4.68 ((~(mult(mult(mult(a, c), a), b) = mult(mult(a, c), mult(b, a)))) <=> (~(mult(mult(a, c), mult(a, b)) = mult(mult(a, c), mult(b, a))))),
% 4.49/4.68 inference(monotonicity,[status(thm)],[3990])).
% 4.49/4.68 tff(3992,plain,
% 4.49/4.68 (~(mult(mult(a, c), mult(a, b)) = mult(mult(a, c), mult(b, a)))),
% 4.49/4.68 inference(modus_ponens,[status(thm)],[3591, 3991])).
% 4.49/4.68 tff(3993,assumption,(~(mult(mult(a, c), mult(a, b)) = mult(mult(a, c), mult(b, a)))), introduced(assumption)).
% 4.49/4.68 tff(3994,assumption,(mult(a, b) = mult(b, a)), introduced(assumption)).
% 4.49/4.68 tff(3995,plain,
% 4.49/4.68 (mult(mult(a, c), mult(a, b)) = mult(mult(a, c), mult(b, a))),
% 4.49/4.68 inference(monotonicity,[status(thm)],[3994])).
% 4.49/4.68 tff(3996,plain,
% 4.49/4.68 ($false),
% 4.49/4.68 inference(unit_resolution,[status(thm)],[3995, 3993])).
% 4.49/4.68 tff(3997,plain,((~(mult(a, b) = mult(b, a))) | (mult(mult(a, c), mult(a, b)) = mult(mult(a, c), mult(b, a)))), inference(lemma,lemma(discharge,[]))).
% 4.49/4.68 tff(3998,plain,
% 4.49/4.68 (~(mult(a, b) = mult(b, a))),
% 4.49/4.68 inference(unit_resolution,[status(thm)],[3997, 3992])).
% 4.49/4.68 tff(3999,plain,
% 4.49/4.68 (mult(a, mult(c, mult(a, b))) = mult(mult(a, b), mult(a, c))),
% 4.49/4.68 inference(transitivity,[status(thm)],[1414, 708, 260, 168])).
% 4.49/4.68 tff(4000,plain,
% 4.49/4.68 ((mult(mult(a, mult(a, b)), c) = mult(a, mult(c, mult(a, b)))) <=> (mult(mult(mult(a, b), a), c) = mult(mult(a, b), mult(a, c)))),
% 4.49/4.68 inference(monotonicity,[status(thm)],[255, 3999])).
% 4.49/4.68 tff(4001,plain,
% 4.49/4.68 ((mult(mult(mult(a, b), a), c) = mult(mult(a, b), mult(a, c))) <=> (mult(mult(a, mult(a, b)), c) = mult(a, mult(c, mult(a, b))))),
% 4.49/4.68 inference(symmetry,[status(thm)],[4000])).
% 4.49/4.68 tff(4002,plain,
% 4.49/4.68 ((~(mult(mult(mult(a, b), a), c) = mult(mult(a, b), mult(a, c)))) <=> (~(mult(mult(a, mult(a, b)), c) = mult(a, mult(c, mult(a, b)))))),
% 4.49/4.68 inference(monotonicity,[status(thm)],[4001])).
% 4.49/4.68 tff(4003,plain,
% 4.49/4.68 (~(mult(mult(a, mult(a, b)), c) = mult(a, mult(c, mult(a, b))))),
% 4.49/4.68 inference(modus_ponens,[status(thm)],[2880, 4002])).
% 4.49/4.68 tff(4004,plain,
% 4.49/4.68 ((~(mult(mult(a, mult(a, b)), c) = mult(a, mult(c, mult(a, b))))) | (~(mult(mult(a, c), mult(a, b)) = mult(a, mult(mult(a, b), c))))),
% 4.49/4.69 inference(unit_resolution,[status(thm)],[287, 4003])).
% 4.49/4.69 tff(4005,plain,
% 4.49/4.69 (~((~(mult(mult(a, mult(a, b)), c) = mult(a, mult(mult(a, b), c)))) | (~(mult(mult(a, c), mult(a, b)) = mult(a, mult(c, mult(a, b))))))),
% 4.49/4.69 inference(unit_resolution,[status(thm)],[292, 4004])).
% 4.49/4.69 tff(4006,plain,
% 4.49/4.69 (mult(mult(a, mult(a, b)), c) = mult(a, mult(mult(a, b), c))),
% 4.49/4.69 inference(unit_resolution,[status(thm)],[266, 4005])).
% 4.49/4.69 tff(4007,plain,
% 4.49/4.69 (mult(mult(a, c), mult(a, b)) = mult(a, mult(c, mult(a, b)))),
% 4.49/4.69 inference(unit_resolution,[status(thm)],[604, 4005])).
% 4.49/4.69 tff(4008,plain,
% 4.49/4.69 (mult(mult(a, mult(c, a)), b) = mult(mult(mult(a, b), c), a)),
% 4.49/4.69 inference(transitivity,[status(thm)],[3782, 3766, 4007, 1414, 708, 260])).
% 4.49/4.69 tff(4009,plain,
% 4.49/4.69 ((mult(mult(a, mult(c, a)), b) = mult(a, mult(b, mult(c, a)))) <=> (mult(mult(mult(a, b), c), a) = mult(a, mult(b, mult(c, a))))),
% 4.49/4.69 inference(monotonicity,[status(thm)],[4008])).
% 4.49/4.69 tff(4010,plain,
% 4.49/4.69 ((mult(mult(a, mult(c, a)), b) = mult(a, mult(b, mult(c, a)))) <=> (mult(a, mult(b, mult(c, a))) = mult(mult(mult(a, b), c), a))),
% 4.49/4.69 inference(transitivity,[status(thm)],[4009, 15])).
% 4.49/4.69 tff(4011,plain,
% 4.49/4.69 ((mult(a, mult(b, mult(c, a))) = mult(mult(mult(a, b), c), a)) <=> (mult(mult(a, mult(c, a)), b) = mult(a, mult(b, mult(c, a))))),
% 4.49/4.69 inference(symmetry,[status(thm)],[4010])).
% 4.49/4.69 tff(4012,plain,
% 4.49/4.69 ((~(mult(a, mult(b, mult(c, a))) = mult(mult(mult(a, b), c), a))) <=> (~(mult(mult(a, mult(c, a)), b) = mult(a, mult(b, mult(c, a)))))),
% 4.49/4.69 inference(monotonicity,[status(thm)],[4011])).
% 4.49/4.69 tff(4013,plain,
% 4.49/4.69 (~(mult(mult(a, mult(c, a)), b) = mult(a, mult(b, mult(c, a))))),
% 4.49/4.69 inference(modus_ponens,[status(thm)],[194, 4012])).
% 4.49/4.69 tff(4014,plain,
% 4.49/4.69 ((~(mult(mult(a, b), mult(c, a)) = mult(a, mult(mult(c, a), b)))) | (~(mult(mult(a, mult(c, a)), b) = mult(a, mult(b, mult(c, a)))))),
% 4.49/4.69 inference(unit_resolution,[status(thm)],[735, 4013])).
% 4.49/4.69 tff(4015,plain,
% 4.49/4.69 (~((~(mult(mult(a, b), mult(c, a)) = mult(a, mult(b, mult(c, a))))) | (~(mult(mult(a, mult(c, a)), b) = mult(a, mult(mult(c, a), b)))))),
% 4.49/4.69 inference(unit_resolution,[status(thm)],[201, 4014])).
% 4.49/4.69 tff(4016,plain,
% 4.49/4.69 (mult(mult(a, b), mult(c, a)) = mult(a, mult(b, mult(c, a)))),
% 4.49/4.69 inference(unit_resolution,[status(thm)],[196, 4015])).
% 4.49/4.69 tff(4017,plain,
% 4.49/4.69 (mult(a, mult(b, mult(c, a))) = mult(mult(a, b), mult(c, a))),
% 4.49/4.69 inference(symmetry,[status(thm)],[4016])).
% 4.49/4.69 tff(4018,plain,
% 4.49/4.69 (mult(a, mult(b, mult(c, a))) = mult(a, mult(mult(a, b), c))),
% 4.49/4.69 inference(transitivity,[status(thm)],[4017, 2432, 254, 4006])).
% 4.49/4.69 tff(4019,plain,
% 4.49/4.69 (ld(a, mult(a, mult(b, mult(c, a)))) = ld(a, mult(a, mult(mult(a, b), c)))),
% 4.49/4.69 inference(monotonicity,[status(thm)],[4018])).
% 4.49/4.69 tff(4020,plain,
% 4.49/4.69 (ld(a, mult(a, mult(mult(a, b), c))) = ld(a, mult(a, mult(b, mult(c, a))))),
% 4.49/4.69 inference(symmetry,[status(thm)],[4019])).
% 4.49/4.69 tff(4021,plain,
% 4.49/4.69 (mult(mult(a, b), c) = mult(mult(b, a), c)),
% 4.49/4.69 inference(transitivity,[status(thm)],[561, 4020, 77, 3456])).
% 4.49/4.69 tff(4022,plain,
% 4.49/4.69 (rd(mult(mult(a, b), c), c) = rd(mult(mult(b, a), c), c)),
% 4.49/4.69 inference(monotonicity,[status(thm)],[4021])).
% 4.49/4.69 tff(4023,plain,
% 4.49/4.69 (mult(a, b) = mult(b, a)),
% 4.49/4.69 inference(transitivity,[status(thm)],[985, 4022, 414])).
% 4.49/4.69 tff(4024,plain,
% 4.49/4.69 ($false),
% 4.49/4.69 inference(unit_resolution,[status(thm)],[1, 4023])).
% 4.49/4.69 tff(4025,plain,((~(mult(mult(c, b), a) = mult(c, mult(a, b)))) | (mult(a, b) = mult(b, a)) | (~(mult(mult(b, a), c) = mult(b, mult(c, a)))) | (~(mult(mult(mult(a, b), a), c) = mult(mult(a, b), mult(c, a)))) | (~(mult(mult(a, b), a) = mult(a, mult(a, b)))) | (~(mult(mult(mult(a, c), a), b) = mult(mult(a, c), mult(a, b)))) | (~(mult(mult(a, mult(c, b)), a) = mult(a, mult(mult(c, b), a)))) | (~(mult(mult(a, b), c) = mult(a, mult(c, b)))) | (~(mult(mult(b, mult(c, a)), a) = mult(b, mult(a, mult(c, a))))) | (mult(mult(mult(a, b), a), c) = mult(mult(a, b), mult(a, c))) | (~(mult(mult(mult(a, b), c), a) = mult(mult(a, b), mult(a, c))))), inference(lemma,lemma(discharge,[]))).
% 4.49/4.69 tff(4026,plain,
% 4.49/4.69 (mult(mult(mult(a, b), a), c) = mult(mult(a, b), mult(a, c))),
% 4.49/4.69 inference(unit_resolution,[status(thm)],[4025, 3983, 3448, 3998, 2835, 3705, 3989, 3593, 3594, 3979, 3659])).
% 4.49/4.69 tff(4027,plain,
% 4.49/4.69 (mult(mult(mult(a, b), c), a) = mult(mult(a, b), mult(c, a))),
% 4.49/4.69 inference(modus_ponens,[status(thm)],[4026, 3987])).
% 4.49/4.69 tff(4028,plain,
% 4.49/4.69 ($false),
% 4.49/4.69 inference(unit_resolution,[status(thm)],[3980, 4027])).
% 4.49/4.69 tff(4029,plain,((mult(mult(a, b), c) = mult(a, mult(b, c))) | (~(mult(mult(b, a), c) = mult(b, mult(c, a)))) | (~((~(mult(mult(b, a), mult(c, a)) = mult(b, mult(a, mult(c, a))))) | (~(mult(mult(b, mult(c, a)), a) = mult(b, mult(mult(c, a), a)))))) | (mult(mult(mult(a, c), a), b) = mult(mult(a, c), mult(b, a))) | (~(mult(mult(b, c), a) = mult(b, mult(a, c)))) | (mult(mult(a, a), b) = mult(a, mult(a, b)))), inference(lemma,lemma(discharge,[]))).
% 4.49/4.69 tff(4030,plain,
% 4.49/4.69 (mult(mult(a, b), c) = mult(a, mult(b, c))),
% 4.49/4.69 inference(unit_resolution,[status(thm)],[4029, 2832, 3474, 3591, 3449, 3448])).
% 4.49/4.69 tff(4031,plain,
% 4.49/4.69 (~((~(mult(mult(a, c), b) = mult(a, mult(c, b)))) | (~(mult(mult(a, b), c) = mult(a, mult(b, c)))))),
% 4.49/4.69 inference(unit_resolution,[status(thm)],[64, 4030])).
% 4.49/4.69 tff(4032,plain,
% 4.49/4.69 (mult(mult(a, c), b) = mult(a, mult(c, b))),
% 4.49/4.69 inference(unit_resolution,[status(thm)],[42, 4031])).
% 4.49/4.69 tff(4033,plain,
% 4.49/4.69 (mult(a, mult(mult(a, c), b)) = mult(a, mult(a, mult(c, b)))),
% 4.49/4.69 inference(monotonicity,[status(thm)],[4032])).
% 4.49/4.69 tff(4034,plain,
% 4.49/4.69 (mult(a, mult(a, mult(c, b))) = mult(a, mult(mult(a, c), b))),
% 4.49/4.69 inference(symmetry,[status(thm)],[4033])).
% 4.49/4.69 tff(4035,plain,
% 4.49/4.69 (mult(a, mult(mult(a, b), c)) = mult(a, mult(b, mult(c, a)))),
% 4.49/4.69 inference(transitivity,[status(thm)],[3744, 3706, 3702, 3695])).
% 4.49/4.69 tff(4036,plain,
% 4.49/4.69 (ld(a, mult(a, mult(mult(a, b), c))) = ld(a, mult(a, mult(b, mult(c, a))))),
% 4.49/4.69 inference(monotonicity,[status(thm)],[4035])).
% 4.49/4.69 tff(4037,plain,
% 4.49/4.69 (mult(mult(a, b), c) = mult(mult(b, a), c)),
% 4.49/4.69 inference(transitivity,[status(thm)],[561, 4036, 77, 3456])).
% 4.49/4.69 tff(4038,plain,
% 4.49/4.69 (rd(mult(mult(a, b), c), c) = rd(mult(mult(b, a), c), c)),
% 4.49/4.69 inference(monotonicity,[status(thm)],[4037])).
% 4.49/4.69 tff(4039,plain,
% 4.49/4.69 (mult(a, b) = mult(b, a)),
% 4.49/4.69 inference(transitivity,[status(thm)],[985, 4038, 414])).
% 4.49/4.69 tff(4040,plain,
% 4.49/4.69 ($false),
% 4.49/4.69 inference(unit_resolution,[status(thm)],[3998, 4039])).
% 4.49/4.69 tff(4041,plain,((mult(mult(c, a), b) = mult(c, mult(b, a))) | (~(mult(mult(b, a), c) = mult(b, mult(c, a)))) | (~(mult(mult(b, mult(c, a)), a) = mult(b, mult(a, mult(c, a))))) | (mult(mult(a, a), b) = mult(a, mult(a, b))) | (mult(mult(mult(a, c), a), b) = mult(mult(a, c), mult(b, a)))), inference(lemma,lemma(discharge,[]))).
% 4.49/4.69 tff(4042,plain,
% 4.49/4.69 (mult(mult(c, a), b) = mult(c, mult(b, a))),
% 4.49/4.69 inference(unit_resolution,[status(thm)],[4041, 2832, 3635, 3448, 3591])).
% 4.49/4.69 tff(4043,plain,
% 4.49/4.69 (mult(mult(c, b), a) = mult(c, mult(a, b))),
% 4.49/4.69 inference(unit_resolution,[status(thm)],[2109, 4042])).
% 4.49/4.69 tff(4044,plain,
% 4.49/4.69 (mult(c, mult(a, b)) = mult(mult(c, b), a)),
% 4.49/4.69 inference(symmetry,[status(thm)],[4043])).
% 4.49/4.69 tff(4045,plain,
% 4.49/4.69 (mult(a, mult(c, mult(a, b))) = mult(a, mult(mult(c, b), a))),
% 4.49/4.69 inference(monotonicity,[status(thm)],[4044])).
% 4.49/4.69 tff(4046,plain,
% 4.49/4.69 (mult(a, mult(c, mult(a, b))) = mult(mult(a, c), mult(b, a))),
% 4.49/4.69 inference(transitivity,[status(thm)],[4045, 708, 2195, 3757])).
% 4.49/4.69 tff(4047,plain,
% 4.49/4.69 ((mult(mult(a, c), mult(a, b)) = mult(a, mult(c, mult(a, b)))) <=> (mult(mult(mult(a, c), a), b) = mult(mult(a, c), mult(b, a)))),
% 4.49/4.69 inference(monotonicity,[status(thm)],[3706, 4046])).
% 4.49/4.69 tff(4048,plain,
% 4.49/4.69 ((mult(mult(mult(a, c), a), b) = mult(mult(a, c), mult(b, a))) <=> (mult(mult(a, c), mult(a, b)) = mult(a, mult(c, mult(a, b))))),
% 4.49/4.69 inference(symmetry,[status(thm)],[4047])).
% 4.49/4.69 tff(4049,plain,
% 4.49/4.69 ((~(mult(mult(mult(a, c), a), b) = mult(mult(a, c), mult(b, a)))) <=> (~(mult(mult(a, c), mult(a, b)) = mult(a, mult(c, mult(a, b)))))),
% 4.49/4.69 inference(monotonicity,[status(thm)],[4048])).
% 4.49/4.69 tff(4050,plain,
% 4.49/4.69 (~(mult(mult(a, c), mult(a, b)) = mult(a, mult(c, mult(a, b))))),
% 4.49/4.69 inference(modus_ponens,[status(thm)],[3591, 4049])).
% 4.49/4.69 tff(4051,plain,
% 4.49/4.69 ((~(mult(mult(a, mult(a, b)), c) = mult(a, mult(mult(a, b), c)))) | (~(mult(mult(a, c), mult(a, b)) = mult(a, mult(c, mult(a, b)))))),
% 4.49/4.69 inference(unit_resolution,[status(thm)],[604, 4050])).
% 4.49/4.69 tff(4052,plain,
% 4.49/4.69 (~((~(mult(mult(a, mult(a, b)), c) = mult(a, mult(c, mult(a, b))))) | (~(mult(mult(a, c), mult(a, b)) = mult(a, mult(mult(a, b), c)))))),
% 4.49/4.69 inference(unit_resolution,[status(thm)],[292, 4051])).
% 4.49/4.69 tff(4053,plain,
% 4.49/4.69 (mult(mult(a, c), mult(a, b)) = mult(a, mult(mult(a, b), c))),
% 4.49/4.69 inference(unit_resolution,[status(thm)],[601, 4052])).
% 4.49/4.69 tff(4054,plain,
% 4.49/4.69 (mult(a, mult(b, mult(c, a))) = mult(a, mult(mult(a, b), c))),
% 4.49/4.69 inference(transitivity,[status(thm)],[1737, 3711, 3766, 593])).
% 4.49/4.69 tff(4055,plain,
% 4.49/4.69 (ld(a, mult(a, mult(b, mult(c, a)))) = ld(a, mult(a, mult(mult(a, b), c)))),
% 4.49/4.69 inference(monotonicity,[status(thm)],[4054])).
% 4.49/4.69 tff(4056,plain,
% 4.49/4.69 (ld(a, mult(a, mult(mult(a, b), c))) = ld(a, mult(a, mult(b, mult(c, a))))),
% 4.49/4.69 inference(symmetry,[status(thm)],[4055])).
% 4.49/4.69 tff(4057,plain,
% 4.49/4.69 (mult(mult(a, b), c) = mult(mult(b, a), c)),
% 4.49/4.69 inference(transitivity,[status(thm)],[561, 4056, 77, 3456])).
% 4.49/4.69 tff(4058,plain,
% 4.49/4.69 (rd(mult(mult(a, b), c), c) = rd(mult(mult(b, a), c), c)),
% 4.49/4.69 inference(monotonicity,[status(thm)],[4057])).
% 4.49/4.69 tff(4059,plain,
% 4.49/4.69 (mult(a, b) = mult(b, a)),
% 4.49/4.69 inference(transitivity,[status(thm)],[985, 4058, 414])).
% 4.49/4.69 tff(4060,plain,
% 4.49/4.69 ($false),
% 4.49/4.69 inference(unit_resolution,[status(thm)],[1, 4059])).
% 4.49/4.69 tff(4061,plain,((~(mult(mult(a, mult(c, a)), b) = mult(a, mult(b, mult(c, a))))) | (mult(a, b) = mult(b, a)) | (~(mult(mult(b, a), c) = mult(b, mult(c, a)))) | (~(mult(mult(a, c), mult(a, b)) = mult(a, mult(mult(a, b), c)))) | (~(mult(mult(mult(a, c), a), b) = mult(mult(a, c), mult(a, b)))) | (~(mult(mult(b, mult(c, a)), a) = mult(b, mult(a, mult(c, a)))))), inference(lemma,lemma(discharge,[]))).
% 4.49/4.69 tff(4062,plain,
% 4.49/4.69 (~(mult(mult(a, mult(c, a)), b) = mult(a, mult(b, mult(c, a))))),
% 4.49/4.69 inference(unit_resolution,[status(thm)],[4061, 4053, 3448, 3998, 3705, 3635])).
% 4.49/4.69 tff(4063,plain,
% 4.49/4.69 ((~(mult(mult(a, b), mult(c, a)) = mult(a, mult(mult(c, a), b)))) | (~(mult(mult(a, mult(c, a)), b) = mult(a, mult(b, mult(c, a)))))),
% 4.49/4.69 inference(unit_resolution,[status(thm)],[735, 4062])).
% 4.49/4.69 tff(4064,plain,
% 4.49/4.69 (~((~(mult(mult(a, b), mult(c, a)) = mult(a, mult(b, mult(c, a))))) | (~(mult(mult(a, mult(c, a)), b) = mult(a, mult(mult(c, a), b)))))),
% 4.49/4.69 inference(unit_resolution,[status(thm)],[201, 4063])).
% 4.49/4.69 tff(4065,plain,
% 4.49/4.69 (mult(mult(a, b), mult(c, a)) = mult(a, mult(b, mult(c, a)))),
% 4.49/4.69 inference(unit_resolution,[status(thm)],[196, 4064])).
% 4.49/4.69 tff(4066,plain,
% 4.49/4.69 (mult(mult(a, b), mult(c, a)) = mult(a, mult(mult(b, a), c))),
% 4.49/4.69 inference(transitivity,[status(thm)],[4065, 3911])).
% 4.49/4.69 tff(4067,plain,
% 4.49/4.69 (mult(mult(a, mult(a, b)), c) = mult(a, mult(c, mult(a, b)))),
% 4.49/4.69 inference(unit_resolution,[status(thm)],[287, 4052])).
% 4.49/4.69 tff(4068,plain,
% 4.49/4.69 (mult(mult(mult(a, b), a), c) = mult(mult(a, c), mult(b, a))),
% 4.49/4.69 inference(transitivity,[status(thm)],[2875, 4067, 4045, 708, 2195, 3757])).
% 4.49/4.69 tff(4069,plain,
% 4.49/4.69 ((mult(mult(mult(a, b), a), c) = mult(mult(a, b), mult(c, a))) <=> (mult(mult(a, c), mult(b, a)) = mult(a, mult(mult(b, a), c)))),
% 4.49/4.69 inference(monotonicity,[status(thm)],[4068, 4066])).
% 4.49/4.69 tff(4070,plain,
% 4.49/4.69 ((mult(mult(a, c), mult(b, a)) = mult(a, mult(mult(b, a), c))) <=> (mult(mult(mult(a, b), a), c) = mult(mult(a, b), mult(c, a)))),
% 4.49/4.69 inference(symmetry,[status(thm)],[4069])).
% 4.49/4.69 tff(4071,plain,
% 4.49/4.69 (~(mult(mult(a, mult(b, a)), c) = mult(a, mult(mult(b, a), c)))),
% 4.49/4.69 inference(unit_resolution,[status(thm)],[3731, 4065, 2832, 3448])).
% 4.49/4.69 tff(4072,plain,
% 4.49/4.69 ((~(mult(mult(a, c), mult(b, a)) = mult(a, mult(c, mult(b, a))))) | (~(mult(mult(a, mult(b, a)), c) = mult(a, mult(mult(b, a), c))))),
% 4.49/4.69 inference(unit_resolution,[status(thm)],[1395, 4071])).
% 4.49/4.69 tff(4073,plain,
% 4.49/4.69 (~((~(mult(mult(a, c), mult(b, a)) = mult(a, mult(mult(b, a), c)))) | (~(mult(mult(a, mult(b, a)), c) = mult(a, mult(c, mult(b, a))))))),
% 4.49/4.69 inference(unit_resolution,[status(thm)],[132, 4072])).
% 4.49/4.69 tff(4074,plain,
% 4.49/4.69 (mult(mult(a, c), mult(b, a)) = mult(a, mult(mult(b, a), c))),
% 4.49/4.69 inference(unit_resolution,[status(thm)],[134, 4073])).
% 4.49/4.69 tff(4075,plain,
% 4.49/4.69 (mult(mult(mult(a, b), a), c) = mult(mult(a, b), mult(c, a))),
% 4.49/4.69 inference(modus_ponens,[status(thm)],[4074, 4070])).
% 4.49/4.69 tff(4076,plain,
% 4.49/4.69 (mult(mult(a, mult(c, a)), b) = mult(a, mult(mult(c, a), b))),
% 4.49/4.69 inference(unit_resolution,[status(thm)],[739, 4064])).
% 4.49/4.69 tff(4077,plain,
% 4.49/4.69 (mult(a, mult(mult(c, a), b)) = mult(mult(a, mult(c, a)), b)),
% 4.49/4.69 inference(symmetry,[status(thm)],[4076])).
% 4.49/4.69 tff(4078,plain,
% 4.49/4.69 (mult(c, mult(b, a)) = mult(mult(c, a), b)),
% 4.49/4.69 inference(symmetry,[status(thm)],[4042])).
% 4.49/4.69 tff(4079,plain,
% 4.49/4.69 (mult(a, mult(c, mult(b, a))) = mult(a, mult(mult(c, a), b))),
% 4.49/4.69 inference(monotonicity,[status(thm)],[4078])).
% 4.49/4.69 tff(4080,plain,
% 4.49/4.69 (mult(a, mult(c, mult(b, a))) = mult(mult(mult(a, c), a), b)),
% 4.49/4.69 inference(transitivity,[status(thm)],[4079, 4077, 3711])).
% 4.49/4.69 tff(4081,plain,
% 4.49/4.69 ((mult(mult(a, c), mult(b, a)) = mult(a, mult(c, mult(b, a)))) <=> (mult(mult(a, c), mult(b, a)) = mult(mult(mult(a, c), a), b))),
% 4.49/4.69 inference(monotonicity,[status(thm)],[4080])).
% 4.49/4.69 tff(4082,plain,
% 4.49/4.69 ((mult(mult(a, c), mult(b, a)) = mult(a, mult(c, mult(b, a)))) <=> (mult(mult(mult(a, c), a), b) = mult(mult(a, c), mult(b, a)))),
% 4.49/4.69 inference(transitivity,[status(thm)],[4081, 935])).
% 4.49/4.69 tff(4083,plain,
% 4.49/4.69 ((mult(mult(mult(a, c), a), b) = mult(mult(a, c), mult(b, a))) <=> (mult(mult(a, c), mult(b, a)) = mult(a, mult(c, mult(b, a))))),
% 4.49/4.69 inference(symmetry,[status(thm)],[4082])).
% 4.49/4.69 tff(4084,plain,
% 4.49/4.69 ((~(mult(mult(mult(a, c), a), b) = mult(mult(a, c), mult(b, a)))) <=> (~(mult(mult(a, c), mult(b, a)) = mult(a, mult(c, mult(b, a)))))),
% 4.49/4.69 inference(monotonicity,[status(thm)],[4083])).
% 4.49/4.69 tff(4085,plain,
% 4.49/4.69 (~(mult(mult(a, c), mult(b, a)) = mult(a, mult(c, mult(b, a))))),
% 4.49/4.69 inference(modus_ponens,[status(thm)],[3591, 4084])).
% 4.49/4.69 tff(4086,plain,
% 4.49/4.69 ((mult(mult(a, b), mult(c, a)) = mult(a, mult(mult(c, a), b))) <=> (mult(a, mult(b, mult(c, a))) = mult(mult(a, mult(c, a)), b))),
% 4.49/4.69 inference(monotonicity,[status(thm)],[4065, 4077])).
% 4.49/4.69 tff(4087,plain,
% 4.49/4.69 ((mult(mult(a, b), mult(c, a)) = mult(a, mult(mult(c, a), b))) <=> (mult(mult(a, mult(c, a)), b) = mult(a, mult(b, mult(c, a))))),
% 4.49/4.69 inference(transitivity,[status(thm)],[4086, 1152])).
% 4.49/4.69 tff(4088,plain,
% 4.49/4.69 ((mult(mult(a, mult(c, a)), b) = mult(a, mult(b, mult(c, a)))) <=> (mult(mult(a, b), mult(c, a)) = mult(a, mult(mult(c, a), b)))),
% 4.49/4.69 inference(symmetry,[status(thm)],[4087])).
% 4.49/4.69 tff(4089,plain,
% 4.49/4.69 ((~(mult(mult(a, mult(c, a)), b) = mult(a, mult(b, mult(c, a))))) <=> (~(mult(mult(a, b), mult(c, a)) = mult(a, mult(mult(c, a), b))))),
% 4.49/4.69 inference(monotonicity,[status(thm)],[4088])).
% 4.49/4.69 tff(4090,plain,
% 4.49/4.69 (~(mult(mult(a, b), mult(c, a)) = mult(a, mult(mult(c, a), b)))),
% 4.49/4.69 inference(modus_ponens,[status(thm)],[4062, 4089])).
% 4.49/4.69 tff(4091,plain,
% 4.49/4.69 ($false),
% 4.49/4.69 inference(unit_resolution,[status(thm)],[3873, 4090, 4085, 3448, 4075, 3635])).
% 4.49/4.69 tff(4092,plain,((~(mult(mult(a, mult(c, b)), a) = mult(a, mult(mult(c, b), a)))) | (~(mult(mult(b, a), c) = mult(b, mult(c, a)))) | (~(mult(mult(b, mult(c, a)), a) = mult(b, mult(a, mult(c, a))))) | (~(mult(mult(a, c), b) = mult(a, mult(c, b)))) | (mult(mult(mult(a, c), a), b) = mult(mult(a, c), mult(b, a))) | (mult(mult(a, a), b) = mult(a, mult(a, b)))), inference(lemma,lemma(discharge,[]))).
% 4.49/4.69 tff(4093,plain,
% 4.49/4.69 (~(mult(mult(a, mult(c, b)), a) = mult(a, mult(mult(c, b), a)))),
% 4.49/4.69 inference(unit_resolution,[status(thm)],[4092, 4032, 3489, 3448, 3591, 2832])).
% 4.49/4.69 tff(4094,plain,
% 4.49/4.69 (~((~(mult(mult(a, a), mult(c, b)) = mult(a, mult(mult(c, b), a)))) | (~(mult(mult(a, mult(c, b)), a) = mult(a, mult(a, mult(c, b))))))),
% 4.49/4.69 inference(unit_resolution,[status(thm)],[86, 4093])).
% 4.49/4.69 tff(4095,plain,
% 4.49/4.69 (mult(mult(a, mult(c, b)), a) = mult(a, mult(a, mult(c, b)))),
% 4.49/4.69 inference(unit_resolution,[status(thm)],[88, 4094])).
% 4.49/4.69 tff(4096,plain,
% 4.49/4.69 (mult(a, mult(c, b)) = mult(mult(a, c), b)),
% 4.49/4.69 inference(symmetry,[status(thm)],[4032])).
% 4.49/4.69 tff(4097,plain,
% 4.49/4.69 (mult(mult(a, mult(c, b)), a) = mult(mult(mult(a, c), b), a)),
% 4.49/4.69 inference(monotonicity,[status(thm)],[4096])).
% 4.49/4.69 tff(4098,plain,
% 4.49/4.69 (mult(mult(mult(a, c), b), a) = mult(mult(a, mult(c, b)), a)),
% 4.49/4.69 inference(symmetry,[status(thm)],[4097])).
% 4.49/4.69 tff(4099,plain,
% 4.49/4.69 (mult(mult(a, c), a) = mult(a, mult(c, a))),
% 4.49/4.69 inference(transitivity,[status(thm)],[3638, 3492, 3698])).
% 4.49/4.69 tff(4100,plain,
% 4.49/4.69 (mult(mult(mult(a, c), a), b) = mult(mult(a, mult(c, a)), b)),
% 4.49/4.69 inference(monotonicity,[status(thm)],[4099])).
% 4.49/4.69 tff(4101,plain,
% 4.49/4.69 (mult(mult(a, mult(c, a)), b) = mult(mult(mult(a, c), a), b)),
% 4.49/4.69 inference(symmetry,[status(thm)],[4100])).
% 4.49/4.69 tff(4102,plain,
% 4.49/4.69 (mult(mult(c, a), b) = mult(c, mult(b, a))),
% 4.49/4.69 inference(unit_resolution,[status(thm)],[4041, 2832, 3489, 3448, 3591])).
% 4.49/4.69 tff(4103,plain,
% 4.49/4.69 ((mult(mult(mult(a, b), c), a) = mult(mult(a, b), mult(c, a))) <=> (mult(mult(mult(a, b), c), a) = mult(a, mult(b, mult(c, a))))),
% 4.49/4.69 inference(monotonicity,[status(thm)],[738])).
% 4.49/4.69 tff(4104,plain,
% 4.49/4.69 ((mult(mult(mult(a, b), c), a) = mult(mult(a, b), mult(c, a))) <=> (mult(a, mult(b, mult(c, a))) = mult(mult(mult(a, b), c), a))),
% 4.49/4.69 inference(transitivity,[status(thm)],[4103, 15])).
% 4.49/4.69 tff(4105,plain,
% 4.49/4.69 ((mult(a, mult(b, mult(c, a))) = mult(mult(mult(a, b), c), a)) <=> (mult(mult(mult(a, b), c), a) = mult(mult(a, b), mult(c, a)))),
% 4.49/4.69 inference(symmetry,[status(thm)],[4104])).
% 4.49/4.69 tff(4106,plain,
% 4.49/4.69 ((~(mult(a, mult(b, mult(c, a))) = mult(mult(mult(a, b), c), a))) <=> (~(mult(mult(mult(a, b), c), a) = mult(mult(a, b), mult(c, a))))),
% 4.49/4.69 inference(monotonicity,[status(thm)],[4105])).
% 4.49/4.69 tff(4107,plain,
% 4.49/4.69 (~(mult(mult(mult(a, b), c), a) = mult(mult(a, b), mult(c, a)))),
% 4.49/4.69 inference(modus_ponens,[status(thm)],[194, 4106])).
% 4.49/4.69 tff(4108,plain,
% 4.49/4.69 ((~(mult(mult(mult(a, b), a), c) = mult(mult(a, b), mult(a, c)))) | (~(mult(mult(mult(a, b), c), a) = mult(mult(a, b), mult(c, a))))),
% 4.49/4.69 inference(unit_resolution,[status(thm)],[185, 4107])).
% 4.49/4.69 tff(4109,plain,
% 4.49/4.69 (mult(a, mult(mult(c, a), b)) = mult(mult(a, mult(c, a)), b)),
% 4.49/4.69 inference(symmetry,[status(thm)],[740])).
% 4.49/4.69 tff(4110,plain,
% 4.49/4.69 (mult(a, mult(c, mult(b, a))) = mult(mult(mult(a, c), a), b)),
% 4.49/4.69 inference(transitivity,[status(thm)],[1282, 4109, 3711])).
% 4.49/4.69 tff(4111,plain,
% 4.49/4.69 ((mult(mult(a, c), mult(b, a)) = mult(a, mult(c, mult(b, a)))) <=> (mult(mult(a, c), mult(b, a)) = mult(mult(mult(a, c), a), b))),
% 4.49/4.69 inference(monotonicity,[status(thm)],[4110])).
% 4.49/4.69 tff(4112,plain,
% 4.49/4.69 ((mult(mult(a, c), mult(b, a)) = mult(a, mult(c, mult(b, a)))) <=> (mult(mult(mult(a, c), a), b) = mult(mult(a, c), mult(b, a)))),
% 4.49/4.69 inference(transitivity,[status(thm)],[4111, 935])).
% 4.49/4.69 tff(4113,plain,
% 4.49/4.69 ((mult(mult(mult(a, c), a), b) = mult(mult(a, c), mult(b, a))) <=> (mult(mult(a, c), mult(b, a)) = mult(a, mult(c, mult(b, a))))),
% 4.49/4.69 inference(symmetry,[status(thm)],[4112])).
% 4.49/4.69 tff(4114,plain,
% 4.49/4.69 ((~(mult(mult(mult(a, c), a), b) = mult(mult(a, c), mult(b, a)))) <=> (~(mult(mult(a, c), mult(b, a)) = mult(a, mult(c, mult(b, a)))))),
% 4.49/4.69 inference(monotonicity,[status(thm)],[4113])).
% 4.49/4.69 tff(4115,plain,
% 4.49/4.69 (~(mult(mult(a, c), mult(b, a)) = mult(a, mult(c, mult(b, a))))),
% 4.49/4.69 inference(modus_ponens,[status(thm)],[3591, 4114])).
% 4.49/4.69 tff(4116,plain,
% 4.49/4.69 ((mult(mult(a, b), mult(c, a)) = mult(a, mult(mult(c, a), b))) <=> (mult(a, mult(b, mult(c, a))) = mult(mult(a, mult(c, a)), b))),
% 4.49/4.70 inference(monotonicity,[status(thm)],[738, 4109])).
% 4.49/4.70 tff(4117,plain,
% 4.49/4.70 ((mult(mult(a, b), mult(c, a)) = mult(a, mult(mult(c, a), b))) <=> (mult(mult(a, mult(c, a)), b) = mult(a, mult(b, mult(c, a))))),
% 4.49/4.70 inference(transitivity,[status(thm)],[4116, 1152])).
% 4.49/4.70 tff(4118,plain,
% 4.49/4.70 ((mult(mult(a, mult(c, a)), b) = mult(a, mult(b, mult(c, a)))) <=> (mult(mult(a, b), mult(c, a)) = mult(a, mult(mult(c, a), b)))),
% 4.49/4.70 inference(symmetry,[status(thm)],[4117])).
% 4.49/4.70 tff(4119,plain,
% 4.49/4.70 ((~(mult(mult(a, mult(c, a)), b) = mult(a, mult(b, mult(c, a))))) <=> (~(mult(mult(a, b), mult(c, a)) = mult(a, mult(mult(c, a), b))))),
% 4.49/4.70 inference(monotonicity,[status(thm)],[4118])).
% 4.49/4.70 tff(4120,plain,
% 4.49/4.70 (~(mult(mult(a, b), mult(c, a)) = mult(a, mult(mult(c, a), b)))),
% 4.49/4.70 inference(modus_ponens,[status(thm)],[733, 4119])).
% 4.49/4.70 tff(4121,plain,
% 4.49/4.70 (~(mult(mult(mult(a, b), a), c) = mult(mult(a, b), mult(c, a)))),
% 4.49/4.70 inference(unit_resolution,[status(thm)],[3873, 4120, 3448, 4115, 3635])).
% 4.49/4.70 tff(4122,plain,
% 4.49/4.70 ((~(mult(mult(mult(a, b), a), c) = mult(mult(a, b), mult(c, a)))) | (~(mult(mult(mult(a, b), c), a) = mult(mult(a, b), mult(a, c))))),
% 4.49/4.70 inference(unit_resolution,[status(thm)],[1690, 4121])).
% 4.49/4.70 tff(4123,plain,
% 4.49/4.70 ($false),
% 4.49/4.70 inference(unit_resolution,[status(thm)],[183, 4122, 4108])).
% 4.49/4.70 tff(4124,plain,((mult(mult(a, mult(c, a)), b) = mult(a, mult(b, mult(c, a)))) | (~(mult(mult(b, a), c) = mult(b, mult(c, a)))) | (~(mult(mult(b, mult(c, a)), a) = mult(b, mult(a, mult(c, a))))) | (mult(mult(mult(a, c), a), b) = mult(mult(a, c), mult(b, a))) | (~(mult(mult(c, a), b) = mult(c, mult(b, a))))), inference(lemma,lemma(discharge,[]))).
% 4.49/4.70 tff(4125,plain,
% 4.49/4.70 (mult(mult(a, mult(c, a)), b) = mult(a, mult(b, mult(c, a)))),
% 4.49/4.70 inference(unit_resolution,[status(thm)],[4124, 4102, 3489, 3591, 3448])).
% 4.49/4.70 tff(4126,plain,
% 4.49/4.70 (mult(a, mult(b, mult(c, a))) = mult(mult(a, mult(c, a)), b)),
% 4.49/4.70 inference(symmetry,[status(thm)],[4125])).
% 4.49/4.70 tff(4127,plain,
% 4.49/4.70 (mult(a, mult(mult(b, a), c)) = mult(mult(mult(a, c), a), b)),
% 4.49/4.70 inference(transitivity,[status(thm)],[3712, 4126, 4101])).
% 4.49/4.70 tff(4128,plain,
% 4.49/4.70 ((mult(mult(a, c), mult(b, a)) = mult(a, mult(mult(b, a), c))) <=> (mult(mult(a, c), mult(b, a)) = mult(mult(mult(a, c), a), b))),
% 4.49/4.70 inference(monotonicity,[status(thm)],[4127])).
% 4.49/4.70 tff(4129,plain,
% 4.49/4.70 ((mult(mult(a, c), mult(b, a)) = mult(a, mult(mult(b, a), c))) <=> (mult(mult(mult(a, c), a), b) = mult(mult(a, c), mult(b, a)))),
% 4.49/4.70 inference(transitivity,[status(thm)],[4128, 935])).
% 4.49/4.70 tff(4130,plain,
% 4.49/4.70 ((mult(mult(mult(a, c), a), b) = mult(mult(a, c), mult(b, a))) <=> (mult(mult(a, c), mult(b, a)) = mult(a, mult(mult(b, a), c)))),
% 4.49/4.70 inference(symmetry,[status(thm)],[4129])).
% 4.49/4.70 tff(4131,plain,
% 4.49/4.70 ((~(mult(mult(mult(a, c), a), b) = mult(mult(a, c), mult(b, a)))) <=> (~(mult(mult(a, c), mult(b, a)) = mult(a, mult(mult(b, a), c))))),
% 4.49/4.70 inference(monotonicity,[status(thm)],[4130])).
% 4.49/4.70 tff(4132,plain,
% 4.49/4.70 (~(mult(mult(a, c), mult(b, a)) = mult(a, mult(mult(b, a), c)))),
% 4.49/4.70 inference(modus_ponens,[status(thm)],[3591, 4131])).
% 4.49/4.70 tff(4133,plain,
% 4.49/4.70 ((~(mult(mult(a, c), mult(b, a)) = mult(a, mult(mult(b, a), c)))) | (~(mult(mult(a, mult(b, a)), c) = mult(a, mult(c, mult(b, a)))))),
% 4.49/4.70 inference(unit_resolution,[status(thm)],[134, 4132])).
% 4.49/4.70 tff(4134,plain,
% 4.49/4.70 (~((~(mult(mult(a, c), mult(b, a)) = mult(a, mult(c, mult(b, a))))) | (~(mult(mult(a, mult(b, a)), c) = mult(a, mult(mult(b, a), c)))))),
% 4.49/4.70 inference(unit_resolution,[status(thm)],[132, 4133])).
% 4.49/4.70 tff(4135,plain,
% 4.49/4.70 (mult(mult(a, c), mult(b, a)) = mult(a, mult(c, mult(b, a)))),
% 4.49/4.70 inference(unit_resolution,[status(thm)],[120, 4134])).
% 4.49/4.70 tff(4136,plain,
% 4.49/4.70 (mult(a, mult(c, mult(b, a))) = mult(mult(a, c), mult(b, a))),
% 4.49/4.70 inference(symmetry,[status(thm)],[4135])).
% 4.49/4.70 tff(4137,plain,
% 4.49/4.70 (mult(a, mult(mult(c, a), b)) = mult(a, mult(c, mult(b, a)))),
% 4.49/4.70 inference(monotonicity,[status(thm)],[4102])).
% 4.49/4.70 tff(4138,plain,
% 4.49/4.70 (mult(a, mult(mult(c, a), b)) = mult(a, mult(mult(a, c), b))),
% 4.49/4.70 inference(transitivity,[status(thm)],[4137, 4136, 3928, 4098, 4095, 4034])).
% 4.49/4.70 tff(4139,plain,
% 4.49/4.70 (ld(a, mult(a, mult(mult(c, a), b))) = ld(a, mult(a, mult(mult(a, c), b)))),
% 4.49/4.70 inference(monotonicity,[status(thm)],[4138])).
% 4.49/4.70 tff(4140,plain,
% 4.49/4.70 (mult(mult(c, a), b) = mult(mult(a, c), b)),
% 4.49/4.70 inference(transitivity,[status(thm)],[210, 4139, 2212])).
% 4.49/4.70 tff(4141,plain,
% 4.49/4.70 (rd(mult(mult(c, a), b), b) = rd(mult(mult(a, c), b), b)),
% 4.49/4.70 inference(monotonicity,[status(thm)],[4140])).
% 4.49/4.70 tff(4142,plain,
% 4.49/4.70 (rd(mult(mult(a, c), b), b) = rd(mult(mult(c, a), b), b)),
% 4.49/4.70 inference(symmetry,[status(thm)],[4141])).
% 4.49/4.70 tff(4143,plain,
% 4.49/4.70 (mult(a, c) = rd(mult(mult(a, c), b), b)),
% 4.49/4.70 inference(symmetry,[status(thm)],[344])).
% 4.49/4.70 tff(4144,plain,
% 4.49/4.70 (mult(a, c) = mult(c, a)),
% 4.49/4.70 inference(transitivity,[status(thm)],[4143, 4142, 358])).
% 4.49/4.70 tff(4145,plain,
% 4.49/4.70 (mult(b, mult(a, c)) = mult(b, mult(c, a))),
% 4.49/4.70 inference(monotonicity,[status(thm)],[4144])).
% 4.49/4.70 tff(4146,plain,
% 4.49/4.70 (mult(mult(b, c), a) = mult(b, mult(c, a))),
% 4.49/4.70 inference(transitivity,[status(thm)],[3449, 4145])).
% 4.49/4.70 tff(4147,plain,
% 4.49/4.70 ($false),
% 4.49/4.70 inference(unit_resolution,[status(thm)],[3450, 4146])).
% 4.49/4.70 tff(4148,plain,((mult(mult(a, a), b) = mult(a, mult(a, b))) | (mult(mult(b, c), a) = mult(b, mult(c, a))) | (~(mult(mult(b, c), a) = mult(b, mult(a, c)))) | (mult(mult(mult(a, c), a), b) = mult(mult(a, c), mult(b, a))) | (~(mult(mult(b, a), c) = mult(b, mult(c, a))))), inference(lemma,lemma(discharge,[]))).
% 4.49/4.70 tff(4149,plain,
% 4.49/4.70 ((mult(mult(a, a), b) = mult(a, mult(a, b))) | (mult(mult(b, c), a) = mult(b, mult(c, a))) | (~(mult(mult(b, c), a) = mult(b, mult(a, c)))) | (mult(mult(mult(a, c), a), b) = mult(mult(a, c), mult(b, a)))),
% 4.49/4.70 inference(unit_resolution,[status(thm)],[4148, 3427])).
% 4.49/4.70 tff(4150,plain,
% 4.49/4.70 (mult(mult(b, c), a) = mult(b, mult(c, a))),
% 4.49/4.70 inference(unit_resolution,[status(thm)],[4149, 3590, 3433, 2832])).
% 4.49/4.70 tff(4151,plain,
% 4.49/4.70 (mult(b, mult(c, a)) = mult(mult(b, c), a)),
% 4.49/4.70 inference(symmetry,[status(thm)],[4150])).
% 4.49/4.70 tff(4152,plain,
% 4.49/4.70 (mult(b, mult(c, a)) = mult(b, mult(a, c))),
% 4.49/4.70 inference(transitivity,[status(thm)],[4151, 3433])).
% 4.49/4.70 tff(4153,plain,
% 4.49/4.70 (ld(b, mult(b, mult(c, a))) = ld(b, mult(b, mult(a, c)))),
% 4.49/4.70 inference(monotonicity,[status(thm)],[4152])).
% 4.49/4.70 tff(4154,plain,
% 4.49/4.70 (mult(c, a) = ld(b, mult(b, mult(c, a)))),
% 4.49/4.70 inference(symmetry,[status(thm)],[11])).
% 4.49/4.70 tff(4155,plain,
% 4.49/4.70 (mult(c, a) = mult(a, c)),
% 4.49/4.70 inference(transitivity,[status(thm)],[4154, 4153, 3523])).
% 4.49/4.70 tff(4156,plain,
% 4.49/4.70 (mult(mult(c, a), b) = mult(mult(a, c), b)),
% 4.49/4.70 inference(monotonicity,[status(thm)],[4155])).
% 4.49/4.70 tff(4157,plain,
% 4.49/4.70 (mult(mult(mult(c, a), b), a) = mult(mult(mult(a, c), b), a)),
% 4.49/4.70 inference(monotonicity,[status(thm)],[4156])).
% 4.49/4.70 tff(4158,plain,
% 4.49/4.70 (mult(c, mult(mult(a, b), a)) = mult(mult(a, c), mult(b, a))),
% 4.49/4.70 inference(transitivity,[status(thm)],[2808, 4157, 3564, 3561, 3547])).
% 4.49/4.70 tff(4159,plain,
% 4.49/4.70 (mult(mult(c, a), mult(a, b)) = mult(mult(a, c), mult(a, b))),
% 4.49/4.70 inference(monotonicity,[status(thm)],[4155])).
% 4.49/4.70 tff(4160,plain,
% 4.49/4.70 ((mult(mult(c, a), mult(a, b)) = mult(c, mult(mult(a, b), a))) <=> (mult(mult(a, c), mult(a, b)) = mult(mult(a, c), mult(b, a)))),
% 4.49/4.70 inference(monotonicity,[status(thm)],[4159, 4158])).
% 4.49/4.70 tff(4161,plain,
% 4.49/4.70 ((mult(mult(a, c), mult(a, b)) = mult(mult(a, c), mult(b, a))) <=> (mult(mult(c, a), mult(a, b)) = mult(c, mult(mult(a, b), a)))),
% 4.49/4.70 inference(symmetry,[status(thm)],[4160])).
% 4.49/4.70 tff(4162,plain,
% 4.49/4.70 ((~(mult(mult(a, c), mult(a, b)) = mult(mult(a, c), mult(b, a)))) <=> (~(mult(mult(c, a), mult(a, b)) = mult(c, mult(mult(a, b), a))))),
% 4.49/4.70 inference(monotonicity,[status(thm)],[4161])).
% 4.49/4.70 tff(4163,plain,
% 4.49/4.70 (mult(mult(mult(a, c), b), a) = mult(mult(a, c), mult(b, a))),
% 4.49/4.70 inference(transitivity,[status(thm)],[3564, 3561, 3547])).
% 4.49/4.70 tff(4164,plain,
% 4.49/4.70 ((mult(mult(mult(a, c), b), a) = mult(mult(a, c), mult(a, b))) <=> (mult(mult(a, c), mult(b, a)) = mult(mult(a, c), mult(a, b)))),
% 4.49/4.70 inference(monotonicity,[status(thm)],[4163])).
% 4.49/4.70 tff(4165,plain,
% 4.49/4.70 ((mult(mult(mult(a, c), b), a) = mult(mult(a, c), mult(a, b))) <=> (mult(mult(a, c), mult(a, b)) = mult(mult(a, c), mult(b, a)))),
% 4.49/4.70 inference(transitivity,[status(thm)],[4164, 3574])).
% 4.49/4.70 tff(4166,plain,
% 4.49/4.70 ((~(mult(mult(mult(a, c), b), a) = mult(mult(a, c), mult(a, b)))) <=> (~(mult(mult(a, c), mult(a, b)) = mult(mult(a, c), mult(b, a))))),
% 4.49/4.70 inference(monotonicity,[status(thm)],[4165])).
% 4.49/4.70 tff(4167,plain,
% 4.49/4.70 (~(mult(mult(a, c), mult(a, b)) = mult(mult(a, c), mult(b, a)))),
% 4.49/4.70 inference(modus_ponens,[status(thm)],[3573, 4166])).
% 4.49/4.70 tff(4168,plain,
% 4.49/4.70 (~(mult(mult(c, a), mult(a, b)) = mult(c, mult(mult(a, b), a)))),
% 4.49/4.70 inference(modus_ponens,[status(thm)],[4167, 4162])).
% 4.49/4.70 tff(4169,plain,
% 4.49/4.70 (((~(mult(mult(c, a), mult(a, b)) = mult(c, mult(mult(a, b), a)))) | (~(mult(mult(c, mult(a, b)), a) = mult(c, mult(a, mult(a, b)))))) | (mult(mult(c, a), mult(a, b)) = mult(c, mult(mult(a, b), a)))),
% 4.49/4.70 inference(tautology,[status(thm)],[])).
% 4.49/4.70 tff(4170,plain,
% 4.49/4.70 ((~(mult(mult(c, a), mult(a, b)) = mult(c, mult(mult(a, b), a)))) | (~(mult(mult(c, mult(a, b)), a) = mult(c, mult(a, mult(a, b)))))),
% 4.49/4.70 inference(unit_resolution,[status(thm)],[4169, 4168])).
% 4.49/4.70 tff(4171,plain,
% 4.49/4.70 (mult(c, mult(a, mult(a, b))) = mult(c, mult(mult(a, b), a))),
% 4.49/4.70 inference(monotonicity,[status(thm)],[3725])).
% 4.49/4.70 tff(4172,plain,
% 4.49/4.70 ((mult(mult(c, a), mult(a, b)) = mult(c, mult(a, mult(a, b)))) <=> (mult(mult(c, a), mult(a, b)) = mult(c, mult(mult(a, b), a)))),
% 4.49/4.70 inference(monotonicity,[status(thm)],[4171])).
% 4.49/4.70 tff(4173,plain,
% 4.49/4.70 ((mult(mult(c, a), mult(a, b)) = mult(c, mult(mult(a, b), a))) <=> (mult(mult(c, a), mult(a, b)) = mult(c, mult(a, mult(a, b))))),
% 4.49/4.70 inference(symmetry,[status(thm)],[4172])).
% 4.49/4.70 tff(4174,plain,
% 4.49/4.70 ((mult(mult(a, c), mult(a, b)) = mult(mult(a, c), mult(b, a))) <=> (mult(mult(c, a), mult(a, b)) = mult(c, mult(a, mult(a, b))))),
% 4.49/4.70 inference(transitivity,[status(thm)],[4161, 4173])).
% 4.49/4.70 tff(4175,plain,
% 4.49/4.70 ((~(mult(mult(a, c), mult(a, b)) = mult(mult(a, c), mult(b, a)))) <=> (~(mult(mult(c, a), mult(a, b)) = mult(c, mult(a, mult(a, b)))))),
% 4.49/4.70 inference(monotonicity,[status(thm)],[4174])).
% 4.49/4.70 tff(4176,plain,
% 4.49/4.70 (~(mult(mult(c, a), mult(a, b)) = mult(c, mult(a, mult(a, b))))),
% 4.49/4.70 inference(modus_ponens,[status(thm)],[4167, 4175])).
% 4.49/4.70 tff(4177,plain,
% 4.49/4.70 (((~(mult(mult(c, a), mult(a, b)) = mult(c, mult(a, mult(a, b))))) | (~(mult(mult(c, mult(a, b)), a) = mult(c, mult(mult(a, b), a))))) | (mult(mult(c, a), mult(a, b)) = mult(c, mult(a, mult(a, b))))),
% 4.49/4.70 inference(tautology,[status(thm)],[])).
% 4.49/4.70 tff(4178,plain,
% 4.49/4.70 ((~(mult(mult(c, a), mult(a, b)) = mult(c, mult(a, mult(a, b))))) | (~(mult(mult(c, mult(a, b)), a) = mult(c, mult(mult(a, b), a))))),
% 4.49/4.70 inference(unit_resolution,[status(thm)],[4177, 4176])).
% 4.49/4.70 tff(4179,plain,
% 4.49/4.70 (((~((~(mult(mult(c, a), mult(a, b)) = mult(c, mult(mult(a, b), a)))) | (~(mult(mult(c, mult(a, b)), a) = mult(c, mult(a, mult(a, b))))))) | (~((~(mult(mult(c, a), mult(a, b)) = mult(c, mult(a, mult(a, b))))) | (~(mult(mult(c, mult(a, b)), a) = mult(c, mult(mult(a, b), a))))))) <=> ((~((~(mult(mult(c, a), mult(a, b)) = mult(c, mult(mult(a, b), a)))) | (~(mult(mult(c, mult(a, b)), a) = mult(c, mult(a, mult(a, b))))))) | (~((~(mult(mult(c, a), mult(a, b)) = mult(c, mult(a, mult(a, b))))) | (~(mult(mult(c, mult(a, b)), a) = mult(c, mult(mult(a, b), a)))))))),
% 4.49/4.70 inference(rewrite,[status(thm)],[])).
% 4.49/4.70 tff(4180,plain,
% 4.49/4.70 ((~((~(mult(mult(c, mult(a, b)), a) = mult(c, mult(mult(a, b), a)))) | (~(mult(mult(c, a), mult(a, b)) = mult(c, mult(a, mult(a, b))))))) <=> (~((~(mult(mult(c, a), mult(a, b)) = mult(c, mult(a, mult(a, b))))) | (~(mult(mult(c, mult(a, b)), a) = mult(c, mult(mult(a, b), a))))))),
% 4.49/4.70 inference(rewrite,[status(thm)],[])).
% 4.49/4.70 tff(4181,plain,
% 4.49/4.70 ((~((~(mult(mult(c, mult(a, b)), a) = mult(c, mult(a, mult(a, b))))) | (~(mult(mult(c, a), mult(a, b)) = mult(c, mult(mult(a, b), a)))))) <=> (~((~(mult(mult(c, a), mult(a, b)) = mult(c, mult(mult(a, b), a)))) | (~(mult(mult(c, mult(a, b)), a) = mult(c, mult(a, mult(a, b)))))))),
% 4.49/4.70 inference(rewrite,[status(thm)],[])).
% 4.49/4.70 tff(4182,plain,
% 4.49/4.70 (((~((~(mult(mult(c, mult(a, b)), a) = mult(c, mult(a, mult(a, b))))) | (~(mult(mult(c, a), mult(a, b)) = mult(c, mult(mult(a, b), a)))))) | (~((~(mult(mult(c, mult(a, b)), a) = mult(c, mult(mult(a, b), a)))) | (~(mult(mult(c, a), mult(a, b)) = mult(c, mult(a, mult(a, b)))))))) <=> ((~((~(mult(mult(c, a), mult(a, b)) = mult(c, mult(mult(a, b), a)))) | (~(mult(mult(c, mult(a, b)), a) = mult(c, mult(a, mult(a, b))))))) | (~((~(mult(mult(c, a), mult(a, b)) = mult(c, mult(a, mult(a, b))))) | (~(mult(mult(c, mult(a, b)), a) = mult(c, mult(mult(a, b), a)))))))),
% 4.49/4.70 inference(monotonicity,[status(thm)],[4181, 4180])).
% 4.49/4.70 tff(4183,plain,
% 4.49/4.70 (((~((~(mult(mult(c, mult(a, b)), a) = mult(c, mult(a, mult(a, b))))) | (~(mult(mult(c, a), mult(a, b)) = mult(c, mult(mult(a, b), a)))))) | (~((~(mult(mult(c, mult(a, b)), a) = mult(c, mult(mult(a, b), a)))) | (~(mult(mult(c, a), mult(a, b)) = mult(c, mult(a, mult(a, b)))))))) <=> ((~((~(mult(mult(c, a), mult(a, b)) = mult(c, mult(mult(a, b), a)))) | (~(mult(mult(c, mult(a, b)), a) = mult(c, mult(a, mult(a, b))))))) | (~((~(mult(mult(c, a), mult(a, b)) = mult(c, mult(a, mult(a, b))))) | (~(mult(mult(c, mult(a, b)), a) = mult(c, mult(mult(a, b), a)))))))),
% 4.49/4.70 inference(transitivity,[status(thm)],[4182, 4179])).
% 4.49/4.70 tff(4184,plain,
% 4.49/4.70 (((~![X0: $i, X1: $i, X2: $i] : ((~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X2, X1)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X1, X2)))))) | (~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X1, X2)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X2, X1)))))))) | ((~((~(mult(mult(c, mult(a, b)), a) = mult(c, mult(a, mult(a, b))))) | (~(mult(mult(c, a), mult(a, b)) = mult(c, mult(mult(a, b), a)))))) | (~((~(mult(mult(c, mult(a, b)), a) = mult(c, mult(mult(a, b), a)))) | (~(mult(mult(c, a), mult(a, b)) = mult(c, mult(a, mult(a, b))))))))) <=> ((~![X0: $i, X1: $i, X2: $i] : ((~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X2, X1)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X1, X2)))))) | (~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X1, X2)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X2, X1)))))))) | ((~((~(mult(mult(c, a), mult(a, b)) = mult(c, mult(mult(a, b), a)))) | (~(mult(mult(c, mult(a, b)), a) = mult(c, mult(a, mult(a, b))))))) | (~((~(mult(mult(c, a), mult(a, b)) = mult(c, mult(a, mult(a, b))))) | (~(mult(mult(c, mult(a, b)), a) = mult(c, mult(mult(a, b), a))))))))),
% 4.49/4.70 inference(monotonicity,[status(thm)],[4183])).
% 4.49/4.70 tff(4185,plain,
% 4.49/4.70 (((~![X0: $i, X1: $i, X2: $i] : ((~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X2, X1)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X1, X2)))))) | (~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X1, X2)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X2, X1)))))))) | ((~((~(mult(mult(c, mult(a, b)), a) = mult(c, mult(a, mult(a, b))))) | (~(mult(mult(c, a), mult(a, b)) = mult(c, mult(mult(a, b), a)))))) | (~((~(mult(mult(c, mult(a, b)), a) = mult(c, mult(mult(a, b), a)))) | (~(mult(mult(c, a), mult(a, b)) = mult(c, mult(a, mult(a, b))))))))) <=> ((~![X0: $i, X1: $i, X2: $i] : ((~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X2, X1)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X1, X2)))))) | (~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X1, X2)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X2, X1)))))))) | (~((~(mult(mult(c, a), mult(a, b)) = mult(c, mult(mult(a, b), a)))) | (~(mult(mult(c, mult(a, b)), a) = mult(c, mult(a, mult(a, b))))))) | (~((~(mult(mult(c, a), mult(a, b)) = mult(c, mult(a, mult(a, b))))) | (~(mult(mult(c, mult(a, b)), a) = mult(c, mult(mult(a, b), a)))))))),
% 4.49/4.70 inference(transitivity,[status(thm)],[4184, 2922])).
% 4.49/4.70 tff(4186,plain,
% 4.49/4.70 ((~![X0: $i, X1: $i, X2: $i] : ((~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X2, X1)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X1, X2)))))) | (~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X1, X2)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X2, X1)))))))) | ((~((~(mult(mult(c, mult(a, b)), a) = mult(c, mult(a, mult(a, b))))) | (~(mult(mult(c, a), mult(a, b)) = mult(c, mult(mult(a, b), a)))))) | (~((~(mult(mult(c, mult(a, b)), a) = mult(c, mult(mult(a, b), a)))) | (~(mult(mult(c, a), mult(a, b)) = mult(c, mult(a, mult(a, b))))))))),
% 4.49/4.70 inference(quant_inst,[status(thm)],[])).
% 4.49/4.70 tff(4187,plain,
% 4.49/4.70 ((~![X0: $i, X1: $i, X2: $i] : ((~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X2, X1)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X1, X2)))))) | (~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X1, X2)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X2, X1)))))))) | (~((~(mult(mult(c, a), mult(a, b)) = mult(c, mult(mult(a, b), a)))) | (~(mult(mult(c, mult(a, b)), a) = mult(c, mult(a, mult(a, b))))))) | (~((~(mult(mult(c, a), mult(a, b)) = mult(c, mult(a, mult(a, b))))) | (~(mult(mult(c, mult(a, b)), a) = mult(c, mult(mult(a, b), a))))))),
% 4.49/4.71 inference(modus_ponens,[status(thm)],[4186, 4185])).
% 4.49/4.71 tff(4188,plain,
% 4.49/4.71 ((~((~(mult(mult(c, a), mult(a, b)) = mult(c, mult(mult(a, b), a)))) | (~(mult(mult(c, mult(a, b)), a) = mult(c, mult(a, mult(a, b))))))) | (~((~(mult(mult(c, a), mult(a, b)) = mult(c, mult(a, mult(a, b))))) | (~(mult(mult(c, mult(a, b)), a) = mult(c, mult(mult(a, b), a))))))),
% 4.49/4.71 inference(unit_resolution,[status(thm)],[4187, 30])).
% 4.49/4.71 tff(4189,plain,
% 4.49/4.71 ($false),
% 4.49/4.71 inference(unit_resolution,[status(thm)],[4188, 4178, 4170])).
% 4.49/4.71 tff(4190,plain,(mult(mult(a, a), b) = mult(a, mult(a, b))), inference(lemma,lemma(discharge,[]))).
% 4.49/4.71 tff(4191,plain,
% 4.49/4.71 (mult(mult(a, b), a) = mult(a, mult(b, a))),
% 4.49/4.71 inference(modus_ponens,[status(thm)],[4190, 3545])).
% 4.49/4.71 tff(4192,plain,
% 4.49/4.71 ($false),
% 4.49/4.71 inference(unit_resolution,[status(thm)],[3537, 4191])).
% 4.49/4.71 tff(4193,plain,(mult(mult(a, b), a) = mult(a, mult(b, a))), inference(lemma,lemma(discharge,[]))).
% 4.49/4.71 tff(4194,plain,
% 4.49/4.71 (mult(a, mult(b, a)) = mult(mult(a, b), a)),
% 4.49/4.71 inference(symmetry,[status(thm)],[4193])).
% 4.49/4.71 tff(4195,plain,
% 4.49/4.71 (mult(mult(b, mult(c, a)), mult(a, mult(b, a))) = mult(mult(b, mult(c, a)), mult(mult(a, b), a))),
% 4.49/4.71 inference(monotonicity,[status(thm)],[4194])).
% 4.49/4.71 tff(4196,plain,
% 4.49/4.71 (mult(mult(b, mult(c, a)), mult(mult(a, b), a)) = mult(mult(b, mult(c, a)), mult(a, mult(b, a)))),
% 4.49/4.71 inference(symmetry,[status(thm)],[4195])).
% 4.49/4.71 tff(4197,plain,
% 4.49/4.71 ((~![C: $i, B: $i, A: $i] : (mult(mult(mult(A, B), C), B) = mult(A, mult(mult(B, C), B)))) | (mult(mult(mult(mult(b, mult(c, a)), a), b), a) = mult(mult(b, mult(c, a)), mult(mult(a, b), a)))),
% 4.49/4.71 inference(quant_inst,[status(thm)],[])).
% 4.49/4.71 tff(4198,plain,
% 4.49/4.71 (mult(mult(mult(mult(b, mult(c, a)), a), b), a) = mult(mult(b, mult(c, a)), mult(mult(a, b), a))),
% 4.49/4.71 inference(unit_resolution,[status(thm)],[4197, 860])).
% 4.49/4.71 tff(4199,plain,
% 4.49/4.71 (mult(mult(mult(b, mult(c, a)), a), b) = mult(mult(mult(b, a), mult(a, c)), b)),
% 4.49/4.71 inference(monotonicity,[status(thm)],[3533])).
% 4.49/4.71 tff(4200,plain,
% 4.49/4.71 (mult(mult(mult(b, a), mult(a, c)), b) = mult(mult(mult(b, mult(c, a)), a), b)),
% 4.49/4.71 inference(symmetry,[status(thm)],[4199])).
% 4.49/4.71 tff(4201,plain,
% 4.49/4.71 (mult(mult(mult(mult(b, a), mult(a, c)), b), a) = mult(mult(mult(mult(b, mult(c, a)), a), b), a)),
% 4.49/4.71 inference(monotonicity,[status(thm)],[4200])).
% 4.49/4.71 tff(4202,plain,
% 4.49/4.71 (mult(mult(mult(mult(b, a), mult(a, c)), b), a) = mult(mult(b, mult(c, a)), mult(a, mult(b, a)))),
% 4.49/4.71 inference(transitivity,[status(thm)],[4201, 4198, 4196])).
% 4.49/4.71 tff(4203,plain,
% 4.49/4.71 ((mult(mult(mult(mult(b, a), mult(a, c)), b), a) = mult(mult(mult(b, a), mult(a, c)), mult(b, a))) <=> (mult(mult(b, mult(c, a)), mult(a, mult(b, a))) = mult(mult(mult(b, mult(c, a)), a), mult(b, a)))),
% 4.49/4.71 inference(monotonicity,[status(thm)],[4202, 3535])).
% 4.49/4.71 tff(4204,plain,
% 4.49/4.71 ((mult(mult(mult(mult(b, a), mult(a, c)), b), a) = mult(mult(mult(b, a), mult(a, c)), mult(b, a))) <=> (mult(mult(mult(b, mult(c, a)), a), mult(b, a)) = mult(mult(b, mult(c, a)), mult(a, mult(b, a))))),
% 4.49/4.71 inference(transitivity,[status(thm)],[4203, 2])).
% 4.49/4.71 tff(4205,plain,
% 4.49/4.71 ((~![B: $i, A: $i] : (rd(mult(A, B), B) = A)) | (rd(mult(mult(mult(b, a), mult(c, a)), b), b) = mult(mult(b, a), mult(c, a)))),
% 4.49/4.71 inference(quant_inst,[status(thm)],[])).
% 4.49/4.71 tff(4206,plain,
% 4.49/4.71 (rd(mult(mult(mult(b, a), mult(c, a)), b), b) = mult(mult(b, a), mult(c, a))),
% 4.49/4.71 inference(unit_resolution,[status(thm)],[4205, 72])).
% 4.49/4.71 tff(4207,plain,
% 4.49/4.71 ((~![B: $i, A: $i] : (rd(mult(A, B), B) = A)) | (rd(mult(mult(mult(c, mult(mult(a, b), a)), b), a), a) = mult(mult(c, mult(mult(a, b), a)), b))),
% 4.49/4.71 inference(quant_inst,[status(thm)],[])).
% 4.49/4.71 tff(4208,plain,
% 4.49/4.71 (rd(mult(mult(mult(c, mult(mult(a, b), a)), b), a), a) = mult(mult(c, mult(mult(a, b), a)), b)),
% 4.49/4.71 inference(unit_resolution,[status(thm)],[4207, 72])).
% 4.49/4.71 tff(4209,plain,
% 4.49/4.71 ((~![B: $i, A: $i] : (rd(mult(A, B), B) = A)) | (rd(mult(mult(mult(c, b), a), mult(mult(a, b), a)), mult(mult(a, b), a)) = mult(mult(c, b), a))),
% 4.49/4.71 inference(quant_inst,[status(thm)],[])).
% 4.49/4.71 tff(4210,plain,
% 4.49/4.71 (rd(mult(mult(mult(c, b), a), mult(mult(a, b), a)), mult(mult(a, b), a)) = mult(mult(c, b), a)),
% 4.49/4.71 inference(unit_resolution,[status(thm)],[4209, 72])).
% 4.49/4.71 tff(4211,plain,
% 4.49/4.71 ((~![C: $i, B: $i, A: $i] : (mult(mult(mult(A, B), C), B) = mult(A, mult(mult(B, C), B)))) | (mult(mult(mult(mult(mult(c, a), b), a), b), a) = mult(mult(mult(c, a), b), mult(mult(a, b), a)))),
% 4.49/4.71 inference(quant_inst,[status(thm)],[])).
% 4.49/4.71 tff(4212,plain,
% 4.49/4.71 (mult(mult(mult(mult(mult(c, a), b), a), b), a) = mult(mult(mult(c, a), b), mult(mult(a, b), a))),
% 4.49/4.71 inference(unit_resolution,[status(thm)],[4211, 860])).
% 4.49/4.71 tff(4213,plain,
% 4.49/4.71 (mult(mult(mult(mult(c, a), b), a), b) = mult(mult(c, mult(mult(a, b), a)), b)),
% 4.49/4.71 inference(monotonicity,[status(thm)],[2807])).
% 4.49/4.71 tff(4214,plain,
% 4.49/4.71 (mult(mult(c, mult(mult(a, b), a)), b) = mult(mult(mult(mult(c, a), b), a), b)),
% 4.49/4.71 inference(symmetry,[status(thm)],[4213])).
% 4.49/4.71 tff(4215,plain,
% 4.49/4.71 (mult(mult(mult(c, mult(mult(a, b), a)), b), a) = mult(mult(mult(mult(mult(c, a), b), a), b), a)),
% 4.49/4.71 inference(monotonicity,[status(thm)],[4214])).
% 4.49/4.71 tff(4216,assumption,(~(mult(mult(mult(mult(c, a), b), mult(a, b)), a) = mult(mult(mult(c, a), b), mult(a, mult(a, b))))), introduced(assumption)).
% 4.49/4.71 tff(4217,plain,
% 4.49/4.71 (((~(mult(mult(mult(mult(c, a), b), a), mult(a, b)) = mult(mult(mult(c, a), b), mult(mult(a, b), a)))) | (~(mult(mult(mult(mult(c, a), b), mult(a, b)), a) = mult(mult(mult(c, a), b), mult(a, mult(a, b)))))) | (mult(mult(mult(mult(c, a), b), mult(a, b)), a) = mult(mult(mult(c, a), b), mult(a, mult(a, b))))),
% 4.49/4.71 inference(tautology,[status(thm)],[])).
% 4.49/4.71 tff(4218,plain,
% 4.49/4.71 ((~(mult(mult(mult(mult(c, a), b), a), mult(a, b)) = mult(mult(mult(c, a), b), mult(mult(a, b), a)))) | (~(mult(mult(mult(mult(c, a), b), mult(a, b)), a) = mult(mult(mult(c, a), b), mult(a, mult(a, b)))))),
% 4.49/4.71 inference(unit_resolution,[status(thm)],[4217, 4216])).
% 4.49/4.71 tff(4219,plain,
% 4.49/4.71 (((~![X0: $i, X1: $i, X2: $i] : ((~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X2, X1)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X1, X2)))))) | (~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X1, X2)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X2, X1)))))))) | ((~((~(mult(mult(mult(mult(c, a), b), a), mult(a, b)) = mult(mult(mult(c, a), b), mult(mult(a, b), a)))) | (~(mult(mult(mult(mult(c, a), b), mult(a, b)), a) = mult(mult(mult(c, a), b), mult(a, mult(a, b))))))) | (~((~(mult(mult(mult(mult(c, a), b), a), mult(a, b)) = mult(mult(mult(c, a), b), mult(a, mult(a, b))))) | (~(mult(mult(mult(mult(c, a), b), mult(a, b)), a) = mult(mult(mult(c, a), b), mult(mult(a, b), a)))))))) <=> ((~![X0: $i, X1: $i, X2: $i] : ((~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X2, X1)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X1, X2)))))) | (~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X1, X2)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X2, X1)))))))) | (~((~(mult(mult(mult(mult(c, a), b), a), mult(a, b)) = mult(mult(mult(c, a), b), mult(mult(a, b), a)))) | (~(mult(mult(mult(mult(c, a), b), mult(a, b)), a) = mult(mult(mult(c, a), b), mult(a, mult(a, b))))))) | (~((~(mult(mult(mult(mult(c, a), b), a), mult(a, b)) = mult(mult(mult(c, a), b), mult(a, mult(a, b))))) | (~(mult(mult(mult(mult(c, a), b), mult(a, b)), a) = mult(mult(mult(c, a), b), mult(mult(a, b), a)))))))),
% 4.49/4.71 inference(rewrite,[status(thm)],[])).
% 4.49/4.71 tff(4220,plain,
% 4.49/4.71 ((~![X0: $i, X1: $i, X2: $i] : ((~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X2, X1)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X1, X2)))))) | (~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X1, X2)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X2, X1)))))))) | ((~((~(mult(mult(mult(mult(c, a), b), a), mult(a, b)) = mult(mult(mult(c, a), b), mult(mult(a, b), a)))) | (~(mult(mult(mult(mult(c, a), b), mult(a, b)), a) = mult(mult(mult(c, a), b), mult(a, mult(a, b))))))) | (~((~(mult(mult(mult(mult(c, a), b), a), mult(a, b)) = mult(mult(mult(c, a), b), mult(a, mult(a, b))))) | (~(mult(mult(mult(mult(c, a), b), mult(a, b)), a) = mult(mult(mult(c, a), b), mult(mult(a, b), a)))))))),
% 4.49/4.71 inference(quant_inst,[status(thm)],[])).
% 4.49/4.71 tff(4221,plain,
% 4.49/4.71 ((~![X0: $i, X1: $i, X2: $i] : ((~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X2, X1)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X1, X2)))))) | (~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X1, X2)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X2, X1)))))))) | (~((~(mult(mult(mult(mult(c, a), b), a), mult(a, b)) = mult(mult(mult(c, a), b), mult(mult(a, b), a)))) | (~(mult(mult(mult(mult(c, a), b), mult(a, b)), a) = mult(mult(mult(c, a), b), mult(a, mult(a, b))))))) | (~((~(mult(mult(mult(mult(c, a), b), a), mult(a, b)) = mult(mult(mult(c, a), b), mult(a, mult(a, b))))) | (~(mult(mult(mult(mult(c, a), b), mult(a, b)), a) = mult(mult(mult(c, a), b), mult(mult(a, b), a))))))),
% 4.49/4.71 inference(modus_ponens,[status(thm)],[4220, 4219])).
% 4.49/4.71 tff(4222,plain,
% 4.49/4.71 ((~((~(mult(mult(mult(mult(c, a), b), a), mult(a, b)) = mult(mult(mult(c, a), b), mult(mult(a, b), a)))) | (~(mult(mult(mult(mult(c, a), b), mult(a, b)), a) = mult(mult(mult(c, a), b), mult(a, mult(a, b))))))) | (~((~(mult(mult(mult(mult(c, a), b), a), mult(a, b)) = mult(mult(mult(c, a), b), mult(a, mult(a, b))))) | (~(mult(mult(mult(mult(c, a), b), mult(a, b)), a) = mult(mult(mult(c, a), b), mult(mult(a, b), a))))))),
% 4.49/4.71 inference(unit_resolution,[status(thm)],[4221, 30])).
% 4.49/4.71 tff(4223,plain,
% 4.49/4.71 (~((~(mult(mult(mult(mult(c, a), b), a), mult(a, b)) = mult(mult(mult(c, a), b), mult(a, mult(a, b))))) | (~(mult(mult(mult(mult(c, a), b), mult(a, b)), a) = mult(mult(mult(c, a), b), mult(mult(a, b), a)))))),
% 4.49/4.71 inference(unit_resolution,[status(thm)],[4222, 4218])).
% 4.49/4.71 tff(4224,plain,
% 4.49/4.71 (((~(mult(mult(mult(mult(c, a), b), a), mult(a, b)) = mult(mult(mult(c, a), b), mult(a, mult(a, b))))) | (~(mult(mult(mult(mult(c, a), b), mult(a, b)), a) = mult(mult(mult(c, a), b), mult(mult(a, b), a))))) | (mult(mult(mult(mult(c, a), b), a), mult(a, b)) = mult(mult(mult(c, a), b), mult(a, mult(a, b))))),
% 4.49/4.71 inference(tautology,[status(thm)],[])).
% 4.49/4.71 tff(4225,plain,
% 4.49/4.71 (mult(mult(mult(mult(c, a), b), a), mult(a, b)) = mult(mult(mult(c, a), b), mult(a, mult(a, b)))),
% 4.49/4.71 inference(unit_resolution,[status(thm)],[4224, 4223])).
% 4.49/4.71 tff(4226,plain,
% 4.49/4.71 (mult(mult(c, mult(mult(a, b), a)), mult(a, b)) = mult(mult(mult(mult(c, a), b), a), mult(a, b))),
% 4.49/4.71 inference(monotonicity,[status(thm)],[2808])).
% 4.49/4.71 tff(4227,plain,
% 4.49/4.71 (mult(mult(c, mult(mult(a, b), a)), mult(a, b)) = mult(mult(mult(c, a), b), mult(a, mult(a, b)))),
% 4.49/4.71 inference(transitivity,[status(thm)],[4226, 4225])).
% 4.49/4.71 tff(4228,plain,
% 4.49/4.71 (((~(mult(mult(mult(mult(c, a), b), a), mult(a, b)) = mult(mult(mult(c, a), b), mult(a, mult(a, b))))) | (~(mult(mult(mult(mult(c, a), b), mult(a, b)), a) = mult(mult(mult(c, a), b), mult(mult(a, b), a))))) | (mult(mult(mult(mult(c, a), b), mult(a, b)), a) = mult(mult(mult(c, a), b), mult(mult(a, b), a)))),
% 4.49/4.71 inference(tautology,[status(thm)],[])).
% 4.49/4.71 tff(4229,plain,
% 4.49/4.71 (mult(mult(mult(mult(c, a), b), mult(a, b)), a) = mult(mult(mult(c, a), b), mult(mult(a, b), a))),
% 4.49/4.71 inference(unit_resolution,[status(thm)],[4228, 4223])).
% 4.49/4.71 tff(4230,plain,
% 4.49/4.71 (mult(mult(mult(c, a), b), mult(mult(a, b), a)) = mult(mult(mult(mult(c, a), b), mult(a, b)), a)),
% 4.49/4.71 inference(symmetry,[status(thm)],[4229])).
% 4.49/4.71 tff(4231,plain,
% 4.49/4.71 (mult(mult(mult(c, mult(mult(a, b), a)), b), a) = mult(mult(mult(mult(c, a), b), mult(a, b)), a)),
% 4.49/4.71 inference(transitivity,[status(thm)],[4215, 4212, 4230])).
% 4.49/4.71 tff(4232,plain,
% 4.49/4.71 ((mult(mult(mult(c, mult(mult(a, b), a)), b), a) = mult(mult(c, mult(mult(a, b), a)), mult(a, b))) <=> (mult(mult(mult(mult(c, a), b), mult(a, b)), a) = mult(mult(mult(c, a), b), mult(a, mult(a, b))))),
% 4.49/4.71 inference(monotonicity,[status(thm)],[4231, 4227])).
% 4.49/4.71 tff(4233,plain,
% 4.49/4.71 ((mult(mult(mult(mult(c, a), b), mult(a, b)), a) = mult(mult(mult(c, a), b), mult(a, mult(a, b)))) <=> (mult(mult(mult(c, mult(mult(a, b), a)), b), a) = mult(mult(c, mult(mult(a, b), a)), mult(a, b)))),
% 4.49/4.71 inference(symmetry,[status(thm)],[4232])).
% 4.49/4.71 tff(4234,plain,
% 4.49/4.71 ((~(mult(mult(mult(mult(c, a), b), mult(a, b)), a) = mult(mult(mult(c, a), b), mult(a, mult(a, b))))) <=> (~(mult(mult(mult(c, mult(mult(a, b), a)), b), a) = mult(mult(c, mult(mult(a, b), a)), mult(a, b))))),
% 4.49/4.71 inference(monotonicity,[status(thm)],[4233])).
% 4.49/4.71 tff(4235,plain,
% 4.49/4.71 (~(mult(mult(mult(c, mult(mult(a, b), a)), b), a) = mult(mult(c, mult(mult(a, b), a)), mult(a, b)))),
% 4.49/4.71 inference(modus_ponens,[status(thm)],[4216, 4234])).
% 4.49/4.71 tff(4236,plain,
% 4.49/4.71 (((~(mult(mult(mult(c, mult(mult(a, b), a)), a), b) = mult(mult(c, mult(mult(a, b), a)), mult(b, a)))) | (~(mult(mult(mult(c, mult(mult(a, b), a)), b), a) = mult(mult(c, mult(mult(a, b), a)), mult(a, b))))) | (mult(mult(mult(c, mult(mult(a, b), a)), b), a) = mult(mult(c, mult(mult(a, b), a)), mult(a, b)))),
% 4.49/4.71 inference(tautology,[status(thm)],[])).
% 4.49/4.71 tff(4237,plain,
% 4.49/4.71 ((~(mult(mult(mult(c, mult(mult(a, b), a)), a), b) = mult(mult(c, mult(mult(a, b), a)), mult(b, a)))) | (~(mult(mult(mult(c, mult(mult(a, b), a)), b), a) = mult(mult(c, mult(mult(a, b), a)), mult(a, b))))),
% 4.49/4.71 inference(unit_resolution,[status(thm)],[4236, 4235])).
% 4.49/4.71 tff(4238,plain,
% 4.49/4.71 (((~![X0: $i, X1: $i, X2: $i] : ((~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X2, X1)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X1, X2)))))) | (~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X1, X2)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X2, X1)))))))) | ((~((~(mult(mult(mult(c, mult(mult(a, b), a)), a), b) = mult(mult(c, mult(mult(a, b), a)), mult(b, a)))) | (~(mult(mult(mult(c, mult(mult(a, b), a)), b), a) = mult(mult(c, mult(mult(a, b), a)), mult(a, b)))))) | (~((~(mult(mult(mult(c, mult(mult(a, b), a)), a), b) = mult(mult(c, mult(mult(a, b), a)), mult(a, b)))) | (~(mult(mult(mult(c, mult(mult(a, b), a)), b), a) = mult(mult(c, mult(mult(a, b), a)), mult(b, a)))))))) <=> ((~![X0: $i, X1: $i, X2: $i] : ((~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X2, X1)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X1, X2)))))) | (~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X1, X2)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X2, X1)))))))) | (~((~(mult(mult(mult(c, mult(mult(a, b), a)), a), b) = mult(mult(c, mult(mult(a, b), a)), mult(b, a)))) | (~(mult(mult(mult(c, mult(mult(a, b), a)), b), a) = mult(mult(c, mult(mult(a, b), a)), mult(a, b)))))) | (~((~(mult(mult(mult(c, mult(mult(a, b), a)), a), b) = mult(mult(c, mult(mult(a, b), a)), mult(a, b)))) | (~(mult(mult(mult(c, mult(mult(a, b), a)), b), a) = mult(mult(c, mult(mult(a, b), a)), mult(b, a)))))))),
% 4.49/4.71 inference(rewrite,[status(thm)],[])).
% 4.49/4.71 tff(4239,plain,
% 4.49/4.71 ((~![X0: $i, X1: $i, X2: $i] : ((~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X2, X1)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X1, X2)))))) | (~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X1, X2)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X2, X1)))))))) | ((~((~(mult(mult(mult(c, mult(mult(a, b), a)), a), b) = mult(mult(c, mult(mult(a, b), a)), mult(b, a)))) | (~(mult(mult(mult(c, mult(mult(a, b), a)), b), a) = mult(mult(c, mult(mult(a, b), a)), mult(a, b)))))) | (~((~(mult(mult(mult(c, mult(mult(a, b), a)), a), b) = mult(mult(c, mult(mult(a, b), a)), mult(a, b)))) | (~(mult(mult(mult(c, mult(mult(a, b), a)), b), a) = mult(mult(c, mult(mult(a, b), a)), mult(b, a)))))))),
% 4.49/4.71 inference(quant_inst,[status(thm)],[])).
% 4.49/4.71 tff(4240,plain,
% 4.49/4.71 ((~![X0: $i, X1: $i, X2: $i] : ((~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X2, X1)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X1, X2)))))) | (~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X1, X2)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X2, X1)))))))) | (~((~(mult(mult(mult(c, mult(mult(a, b), a)), a), b) = mult(mult(c, mult(mult(a, b), a)), mult(b, a)))) | (~(mult(mult(mult(c, mult(mult(a, b), a)), b), a) = mult(mult(c, mult(mult(a, b), a)), mult(a, b)))))) | (~((~(mult(mult(mult(c, mult(mult(a, b), a)), a), b) = mult(mult(c, mult(mult(a, b), a)), mult(a, b)))) | (~(mult(mult(mult(c, mult(mult(a, b), a)), b), a) = mult(mult(c, mult(mult(a, b), a)), mult(b, a))))))),
% 4.49/4.72 inference(modus_ponens,[status(thm)],[4239, 4238])).
% 4.49/4.72 tff(4241,plain,
% 4.49/4.72 ((~((~(mult(mult(mult(c, mult(mult(a, b), a)), a), b) = mult(mult(c, mult(mult(a, b), a)), mult(b, a)))) | (~(mult(mult(mult(c, mult(mult(a, b), a)), b), a) = mult(mult(c, mult(mult(a, b), a)), mult(a, b)))))) | (~((~(mult(mult(mult(c, mult(mult(a, b), a)), a), b) = mult(mult(c, mult(mult(a, b), a)), mult(a, b)))) | (~(mult(mult(mult(c, mult(mult(a, b), a)), b), a) = mult(mult(c, mult(mult(a, b), a)), mult(b, a))))))),
% 4.49/4.72 inference(unit_resolution,[status(thm)],[4240, 30])).
% 4.49/4.72 tff(4242,plain,
% 4.49/4.72 (~((~(mult(mult(mult(c, mult(mult(a, b), a)), a), b) = mult(mult(c, mult(mult(a, b), a)), mult(a, b)))) | (~(mult(mult(mult(c, mult(mult(a, b), a)), b), a) = mult(mult(c, mult(mult(a, b), a)), mult(b, a)))))),
% 4.49/4.72 inference(unit_resolution,[status(thm)],[4241, 4237])).
% 4.49/4.72 tff(4243,plain,
% 4.49/4.72 (((~(mult(mult(mult(c, mult(mult(a, b), a)), a), b) = mult(mult(c, mult(mult(a, b), a)), mult(a, b)))) | (~(mult(mult(mult(c, mult(mult(a, b), a)), b), a) = mult(mult(c, mult(mult(a, b), a)), mult(b, a))))) | (mult(mult(mult(c, mult(mult(a, b), a)), b), a) = mult(mult(c, mult(mult(a, b), a)), mult(b, a)))),
% 4.49/4.72 inference(tautology,[status(thm)],[])).
% 4.49/4.72 tff(4244,plain,
% 4.49/4.72 (mult(mult(mult(c, mult(mult(a, b), a)), b), a) = mult(mult(c, mult(mult(a, b), a)), mult(b, a))),
% 4.49/4.72 inference(unit_resolution,[status(thm)],[4243, 4242])).
% 4.49/4.72 tff(4245,plain,
% 4.49/4.72 (mult(mult(c, mult(mult(a, b), a)), mult(b, a)) = mult(mult(mult(c, mult(mult(a, b), a)), b), a)),
% 4.49/4.72 inference(symmetry,[status(thm)],[4244])).
% 4.49/4.72 tff(4246,plain,
% 4.49/4.72 (mult(mult(c, mult(b, a)), a) = mult(mult(mult(c, a), b), a)),
% 4.49/4.72 inference(monotonicity,[status(thm)],[382])).
% 4.49/4.72 tff(4247,plain,
% 4.49/4.72 (mult(mult(c, mult(b, a)), a) = mult(c, mult(mult(a, b), a))),
% 4.49/4.72 inference(transitivity,[status(thm)],[4246, 2807])).
% 4.49/4.72 tff(4248,plain,
% 4.49/4.72 (mult(mult(mult(c, mult(b, a)), a), mult(b, a)) = mult(mult(c, mult(mult(a, b), a)), mult(b, a))),
% 4.49/4.72 inference(monotonicity,[status(thm)],[4247])).
% 4.49/4.72 tff(4249,plain,
% 4.49/4.72 ((~![C: $i, B: $i, A: $i] : (mult(mult(mult(A, B), C), B) = mult(A, mult(mult(B, C), B)))) | (mult(mult(mult(c, mult(b, a)), a), mult(b, a)) = mult(c, mult(mult(mult(b, a), a), mult(b, a))))),
% 4.49/4.72 inference(quant_inst,[status(thm)],[])).
% 4.49/4.72 tff(4250,plain,
% 4.49/4.72 (mult(mult(mult(c, mult(b, a)), a), mult(b, a)) = mult(c, mult(mult(mult(b, a), a), mult(b, a)))),
% 4.49/4.72 inference(unit_resolution,[status(thm)],[4249, 860])).
% 4.49/4.72 tff(4251,plain,
% 4.49/4.72 (mult(c, mult(mult(mult(b, a), a), mult(b, a))) = mult(mult(mult(c, mult(b, a)), a), mult(b, a))),
% 4.49/4.72 inference(symmetry,[status(thm)],[4250])).
% 4.49/4.72 tff(4252,plain,
% 4.49/4.72 ((~![B: $i, A: $i] : (ld(A, mult(A, B)) = B)) | (ld(c, mult(c, mult(mult(mult(b, a), a), mult(b, a)))) = mult(mult(mult(b, a), a), mult(b, a)))),
% 4.49/4.72 inference(quant_inst,[status(thm)],[])).
% 4.49/4.72 tff(4253,plain,
% 4.49/4.72 (ld(c, mult(c, mult(mult(mult(b, a), a), mult(b, a)))) = mult(mult(mult(b, a), a), mult(b, a))),
% 4.49/4.72 inference(unit_resolution,[status(thm)],[4252, 9])).
% 4.49/4.72 tff(4254,plain,
% 4.49/4.72 (mult(mult(c, mult(mult(a, b), a)), mult(b, a)) = mult(mult(mult(c, mult(b, a)), a), mult(b, a))),
% 4.49/4.72 inference(symmetry,[status(thm)],[4248])).
% 4.49/4.72 tff(4255,plain,
% 4.49/4.72 ((~![C: $i, B: $i, A: $i] : (mult(mult(mult(A, B), C), B) = mult(A, mult(mult(B, C), B)))) | (mult(mult(mult(mult(c, a), b), a), b) = mult(mult(c, a), mult(mult(b, a), b)))),
% 4.49/4.72 inference(quant_inst,[status(thm)],[])).
% 4.49/4.72 tff(4256,plain,
% 4.49/4.72 (mult(mult(mult(mult(c, a), b), a), b) = mult(mult(c, a), mult(mult(b, a), b))),
% 4.49/4.72 inference(unit_resolution,[status(thm)],[4255, 860])).
% 4.49/4.72 tff(4257,plain,
% 4.49/4.72 (mult(mult(c, a), mult(mult(b, a), b)) = mult(mult(mult(mult(c, a), b), a), b)),
% 4.49/4.72 inference(symmetry,[status(thm)],[4256])).
% 4.49/4.72 tff(4258,plain,
% 4.49/4.72 (mult(mult(c, a), mult(mult(b, a), b)) = mult(mult(c, mult(mult(a, b), a)), b)),
% 4.49/4.72 inference(transitivity,[status(thm)],[4257, 4213])).
% 4.49/4.72 tff(4259,plain,
% 4.49/4.72 (mult(mult(mult(c, a), mult(mult(b, a), b)), a) = mult(mult(mult(c, mult(mult(a, b), a)), b), a)),
% 4.49/4.72 inference(monotonicity,[status(thm)],[4258])).
% 4.49/4.72 tff(4260,plain,
% 4.49/4.72 ((~![C: $i, B: $i, A: $i] : (mult(mult(mult(A, B), C), B) = mult(A, mult(mult(B, C), B)))) | (mult(mult(mult(c, a), mult(mult(b, a), b)), a) = mult(c, mult(mult(a, mult(mult(b, a), b)), a)))),
% 4.49/4.72 inference(quant_inst,[status(thm)],[])).
% 4.49/4.72 tff(4261,plain,
% 4.49/4.72 (mult(mult(mult(c, a), mult(mult(b, a), b)), a) = mult(c, mult(mult(a, mult(mult(b, a), b)), a))),
% 4.49/4.72 inference(unit_resolution,[status(thm)],[4260, 860])).
% 4.49/4.72 tff(4262,plain,
% 4.49/4.72 (mult(c, mult(mult(a, mult(mult(b, a), b)), a)) = mult(mult(mult(c, a), mult(mult(b, a), b)), a)),
% 4.49/4.72 inference(symmetry,[status(thm)],[4261])).
% 4.49/4.72 tff(4263,plain,
% 4.49/4.72 (mult(c, mult(mult(a, mult(mult(b, a), b)), a)) = mult(c, mult(mult(mult(b, a), a), mult(b, a)))),
% 4.49/4.72 inference(transitivity,[status(thm)],[4262, 4259, 4244, 4254, 4250])).
% 4.49/4.72 tff(4264,plain,
% 4.49/4.72 (ld(c, mult(c, mult(mult(a, mult(mult(b, a), b)), a))) = ld(c, mult(c, mult(mult(mult(b, a), a), mult(b, a))))),
% 4.49/4.72 inference(monotonicity,[status(thm)],[4263])).
% 4.49/4.72 tff(4265,plain,
% 4.49/4.72 ((~![B: $i, A: $i] : (ld(A, mult(A, B)) = B)) | (ld(c, mult(c, mult(mult(a, mult(mult(b, a), b)), a))) = mult(mult(a, mult(mult(b, a), b)), a))),
% 4.49/4.72 inference(quant_inst,[status(thm)],[])).
% 4.49/4.72 tff(4266,plain,
% 4.49/4.72 (ld(c, mult(c, mult(mult(a, mult(mult(b, a), b)), a))) = mult(mult(a, mult(mult(b, a), b)), a)),
% 4.49/4.72 inference(unit_resolution,[status(thm)],[4265, 9])).
% 4.49/4.72 tff(4267,plain,
% 4.49/4.72 (mult(mult(a, mult(mult(b, a), b)), a) = ld(c, mult(c, mult(mult(a, mult(mult(b, a), b)), a)))),
% 4.49/4.72 inference(symmetry,[status(thm)],[4266])).
% 4.49/4.72 tff(4268,plain,
% 4.49/4.72 ((~![C: $i, B: $i, A: $i] : (mult(mult(mult(A, B), C), B) = mult(A, mult(mult(B, C), B)))) | (mult(mult(mult(a, b), a), b) = mult(a, mult(mult(b, a), b)))),
% 4.49/4.72 inference(quant_inst,[status(thm)],[])).
% 4.49/4.72 tff(4269,plain,
% 4.49/4.72 (mult(mult(mult(a, b), a), b) = mult(a, mult(mult(b, a), b))),
% 4.49/4.72 inference(unit_resolution,[status(thm)],[4268, 860])).
% 4.49/4.72 tff(4270,plain,
% 4.49/4.72 (mult(mult(mult(mult(a, b), a), b), a) = mult(mult(a, mult(mult(b, a), b)), a)),
% 4.49/4.72 inference(monotonicity,[status(thm)],[4269])).
% 4.49/4.72 tff(4271,plain,
% 4.49/4.72 ((~![C: $i, B: $i, A: $i] : (mult(mult(mult(A, B), C), B) = mult(A, mult(mult(B, C), B)))) | (mult(mult(mult(mult(a, b), a), b), a) = mult(mult(a, b), mult(mult(a, b), a)))),
% 4.49/4.72 inference(quant_inst,[status(thm)],[])).
% 4.49/4.72 tff(4272,plain,
% 4.49/4.72 (mult(mult(mult(mult(a, b), a), b), a) = mult(mult(a, b), mult(mult(a, b), a))),
% 4.49/4.72 inference(unit_resolution,[status(thm)],[4271, 860])).
% 4.49/4.72 tff(4273,plain,
% 4.49/4.72 (mult(mult(a, b), mult(mult(a, b), a)) = mult(mult(mult(mult(a, b), a), b), a)),
% 4.49/4.72 inference(symmetry,[status(thm)],[4272])).
% 4.49/4.72 tff(4274,plain,
% 4.49/4.72 (mult(mult(a, b), mult(mult(a, b), a)) = mult(mult(mult(b, a), a), mult(b, a))),
% 4.49/4.72 inference(transitivity,[status(thm)],[4273, 4270, 4267, 4264, 4253])).
% 4.49/4.72 tff(4275,plain,
% 4.49/4.72 (mult(c, mult(mult(a, b), mult(mult(a, b), a))) = mult(c, mult(mult(mult(b, a), a), mult(b, a)))),
% 4.49/4.72 inference(monotonicity,[status(thm)],[4274])).
% 4.49/4.72 tff(4276,plain,
% 4.49/4.72 ((mult(mult(mult(c, a), b), mult(a, mult(a, b))) = mult(mult(mult(mult(c, a), b), mult(a, b)), a)) <=> (mult(mult(mult(mult(c, a), b), mult(a, b)), a) = mult(mult(mult(c, a), b), mult(a, mult(a, b))))),
% 4.49/4.72 inference(commutativity,[status(thm)],[])).
% 4.49/4.72 tff(4277,plain,
% 4.49/4.72 (mult(c, mult(mult(a, b), mult(mult(a, b), a))) = mult(mult(mult(mult(c, a), b), mult(a, b)), a)),
% 4.49/4.72 inference(transitivity,[status(thm)],[4275, 4251, 4248, 4245, 4215, 4212, 4230])).
% 4.49/4.72 tff(4278,plain,
% 4.49/4.72 ((mult(mult(c, mult(mult(a, b), a)), mult(a, b)) = mult(c, mult(mult(a, b), mult(mult(a, b), a)))) <=> (mult(mult(mult(c, a), b), mult(a, mult(a, b))) = mult(mult(mult(mult(c, a), b), mult(a, b)), a))),
% 4.49/4.72 inference(monotonicity,[status(thm)],[4227, 4277])).
% 4.49/4.72 tff(4279,plain,
% 4.49/4.72 ((mult(mult(c, mult(mult(a, b), a)), mult(a, b)) = mult(c, mult(mult(a, b), mult(mult(a, b), a)))) <=> (mult(mult(mult(mult(c, a), b), mult(a, b)), a) = mult(mult(mult(c, a), b), mult(a, mult(a, b))))),
% 4.49/4.72 inference(transitivity,[status(thm)],[4278, 4276])).
% 4.49/4.72 tff(4280,plain,
% 4.49/4.72 ((mult(mult(mult(mult(c, a), b), mult(a, b)), a) = mult(mult(mult(c, a), b), mult(a, mult(a, b)))) <=> (mult(mult(c, mult(mult(a, b), a)), mult(a, b)) = mult(c, mult(mult(a, b), mult(mult(a, b), a))))),
% 4.49/4.72 inference(symmetry,[status(thm)],[4279])).
% 4.49/4.72 tff(4281,plain,
% 4.49/4.72 ((~(mult(mult(mult(mult(c, a), b), mult(a, b)), a) = mult(mult(mult(c, a), b), mult(a, mult(a, b))))) <=> (~(mult(mult(c, mult(mult(a, b), a)), mult(a, b)) = mult(c, mult(mult(a, b), mult(mult(a, b), a)))))),
% 4.49/4.72 inference(monotonicity,[status(thm)],[4280])).
% 4.49/4.72 tff(4282,plain,
% 4.49/4.72 (~(mult(mult(c, mult(mult(a, b), a)), mult(a, b)) = mult(c, mult(mult(a, b), mult(mult(a, b), a))))),
% 4.49/4.72 inference(modus_ponens,[status(thm)],[4216, 4281])).
% 4.49/4.72 tff(4283,plain,
% 4.49/4.72 (((~(mult(mult(c, mult(a, b)), mult(mult(a, b), a)) = mult(c, mult(mult(mult(a, b), a), mult(a, b))))) | (~(mult(mult(c, mult(mult(a, b), a)), mult(a, b)) = mult(c, mult(mult(a, b), mult(mult(a, b), a)))))) | (mult(mult(c, mult(mult(a, b), a)), mult(a, b)) = mult(c, mult(mult(a, b), mult(mult(a, b), a))))),
% 4.49/4.72 inference(tautology,[status(thm)],[])).
% 4.49/4.72 tff(4284,plain,
% 4.49/4.72 ((~(mult(mult(c, mult(a, b)), mult(mult(a, b), a)) = mult(c, mult(mult(mult(a, b), a), mult(a, b))))) | (~(mult(mult(c, mult(mult(a, b), a)), mult(a, b)) = mult(c, mult(mult(a, b), mult(mult(a, b), a)))))),
% 4.49/4.72 inference(unit_resolution,[status(thm)],[4283, 4282])).
% 4.49/4.72 tff(4285,plain,
% 4.49/4.72 (((~![X0: $i, X1: $i, X2: $i] : ((~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X2, X1)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X1, X2)))))) | (~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X1, X2)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X2, X1)))))))) | ((~((~(mult(mult(c, mult(a, b)), mult(mult(a, b), a)) = mult(c, mult(mult(mult(a, b), a), mult(a, b))))) | (~(mult(mult(c, mult(mult(a, b), a)), mult(a, b)) = mult(c, mult(mult(a, b), mult(mult(a, b), a))))))) | (~((~(mult(mult(c, mult(a, b)), mult(mult(a, b), a)) = mult(c, mult(mult(a, b), mult(mult(a, b), a))))) | (~(mult(mult(c, mult(mult(a, b), a)), mult(a, b)) = mult(c, mult(mult(mult(a, b), a), mult(a, b))))))))) <=> ((~![X0: $i, X1: $i, X2: $i] : ((~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X2, X1)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X1, X2)))))) | (~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X1, X2)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X2, X1)))))))) | (~((~(mult(mult(c, mult(a, b)), mult(mult(a, b), a)) = mult(c, mult(mult(mult(a, b), a), mult(a, b))))) | (~(mult(mult(c, mult(mult(a, b), a)), mult(a, b)) = mult(c, mult(mult(a, b), mult(mult(a, b), a))))))) | (~((~(mult(mult(c, mult(a, b)), mult(mult(a, b), a)) = mult(c, mult(mult(a, b), mult(mult(a, b), a))))) | (~(mult(mult(c, mult(mult(a, b), a)), mult(a, b)) = mult(c, mult(mult(mult(a, b), a), mult(a, b))))))))),
% 4.49/4.72 inference(rewrite,[status(thm)],[])).
% 4.49/4.72 tff(4286,plain,
% 4.49/4.72 ((~![X0: $i, X1: $i, X2: $i] : ((~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X2, X1)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X1, X2)))))) | (~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X1, X2)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X2, X1)))))))) | ((~((~(mult(mult(c, mult(a, b)), mult(mult(a, b), a)) = mult(c, mult(mult(mult(a, b), a), mult(a, b))))) | (~(mult(mult(c, mult(mult(a, b), a)), mult(a, b)) = mult(c, mult(mult(a, b), mult(mult(a, b), a))))))) | (~((~(mult(mult(c, mult(a, b)), mult(mult(a, b), a)) = mult(c, mult(mult(a, b), mult(mult(a, b), a))))) | (~(mult(mult(c, mult(mult(a, b), a)), mult(a, b)) = mult(c, mult(mult(mult(a, b), a), mult(a, b))))))))),
% 4.49/4.72 inference(quant_inst,[status(thm)],[])).
% 4.49/4.72 tff(4287,plain,
% 4.49/4.72 ((~![X0: $i, X1: $i, X2: $i] : ((~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X2, X1)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X1, X2)))))) | (~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X1, X2)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X2, X1)))))))) | (~((~(mult(mult(c, mult(a, b)), mult(mult(a, b), a)) = mult(c, mult(mult(mult(a, b), a), mult(a, b))))) | (~(mult(mult(c, mult(mult(a, b), a)), mult(a, b)) = mult(c, mult(mult(a, b), mult(mult(a, b), a))))))) | (~((~(mult(mult(c, mult(a, b)), mult(mult(a, b), a)) = mult(c, mult(mult(a, b), mult(mult(a, b), a))))) | (~(mult(mult(c, mult(mult(a, b), a)), mult(a, b)) = mult(c, mult(mult(mult(a, b), a), mult(a, b)))))))),
% 4.49/4.72 inference(modus_ponens,[status(thm)],[4286, 4285])).
% 4.49/4.72 tff(4288,plain,
% 4.49/4.72 ((~((~(mult(mult(c, mult(a, b)), mult(mult(a, b), a)) = mult(c, mult(mult(mult(a, b), a), mult(a, b))))) | (~(mult(mult(c, mult(mult(a, b), a)), mult(a, b)) = mult(c, mult(mult(a, b), mult(mult(a, b), a))))))) | (~((~(mult(mult(c, mult(a, b)), mult(mult(a, b), a)) = mult(c, mult(mult(a, b), mult(mult(a, b), a))))) | (~(mult(mult(c, mult(mult(a, b), a)), mult(a, b)) = mult(c, mult(mult(mult(a, b), a), mult(a, b)))))))),
% 4.49/4.72 inference(unit_resolution,[status(thm)],[4287, 30])).
% 4.49/4.72 tff(4289,plain,
% 4.49/4.72 (~((~(mult(mult(c, mult(a, b)), mult(mult(a, b), a)) = mult(c, mult(mult(a, b), mult(mult(a, b), a))))) | (~(mult(mult(c, mult(mult(a, b), a)), mult(a, b)) = mult(c, mult(mult(mult(a, b), a), mult(a, b))))))),
% 4.49/4.72 inference(unit_resolution,[status(thm)],[4288, 4284])).
% 4.49/4.72 tff(4290,plain,
% 4.49/4.72 (((~(mult(mult(c, mult(a, b)), mult(mult(a, b), a)) = mult(c, mult(mult(a, b), mult(mult(a, b), a))))) | (~(mult(mult(c, mult(mult(a, b), a)), mult(a, b)) = mult(c, mult(mult(mult(a, b), a), mult(a, b)))))) | (mult(mult(c, mult(a, b)), mult(mult(a, b), a)) = mult(c, mult(mult(a, b), mult(mult(a, b), a))))),
% 4.49/4.72 inference(tautology,[status(thm)],[])).
% 4.49/4.72 tff(4291,plain,
% 4.49/4.72 (mult(mult(c, mult(a, b)), mult(mult(a, b), a)) = mult(c, mult(mult(a, b), mult(mult(a, b), a)))),
% 4.49/4.72 inference(unit_resolution,[status(thm)],[4290, 4289])).
% 4.49/4.72 tff(4292,plain,
% 4.49/4.72 (mult(mult(mult(c, b), a), mult(mult(a, b), a)) = mult(mult(c, mult(a, b)), mult(mult(a, b), a))),
% 4.49/4.72 inference(monotonicity,[status(thm)],[2110])).
% 4.49/4.72 tff(4293,plain,
% 4.49/4.72 (mult(mult(mult(c, b), a), mult(mult(a, b), a)) = mult(mult(mult(c, a), b), mult(mult(a, b), a))),
% 4.49/4.72 inference(transitivity,[status(thm)],[4292, 4291, 4275, 4251, 4248, 4245, 4215, 4212])).
% 4.49/4.72 tff(4294,plain,
% 4.49/4.72 (rd(mult(mult(mult(c, b), a), mult(mult(a, b), a)), mult(mult(a, b), a)) = rd(mult(mult(mult(c, a), b), mult(mult(a, b), a)), mult(mult(a, b), a))),
% 4.49/4.72 inference(monotonicity,[status(thm)],[4293])).
% 4.49/4.72 tff(4295,plain,
% 4.49/4.72 (rd(mult(mult(mult(c, a), b), mult(mult(a, b), a)), mult(mult(a, b), a)) = rd(mult(mult(mult(c, b), a), mult(mult(a, b), a)), mult(mult(a, b), a))),
% 4.49/4.72 inference(symmetry,[status(thm)],[4294])).
% 4.49/4.72 tff(4296,plain,
% 4.49/4.72 ((~![B: $i, A: $i] : (rd(mult(A, B), B) = A)) | (rd(mult(mult(mult(c, a), b), mult(mult(a, b), a)), mult(mult(a, b), a)) = mult(mult(c, a), b))),
% 4.49/4.72 inference(quant_inst,[status(thm)],[])).
% 4.49/4.72 tff(4297,plain,
% 4.49/4.72 (rd(mult(mult(mult(c, a), b), mult(mult(a, b), a)), mult(mult(a, b), a)) = mult(mult(c, a), b)),
% 4.49/4.72 inference(unit_resolution,[status(thm)],[4296, 72])).
% 4.49/4.72 tff(4298,plain,
% 4.49/4.72 (mult(mult(c, a), b) = rd(mult(mult(mult(c, a), b), mult(mult(a, b), a)), mult(mult(a, b), a))),
% 4.49/4.72 inference(symmetry,[status(thm)],[4297])).
% 4.49/4.72 tff(4299,plain,
% 4.49/4.72 (mult(mult(c, a), b) = mult(c, mult(a, b))),
% 4.49/4.72 inference(transitivity,[status(thm)],[4298, 4295, 4210, 2110])).
% 4.49/4.72 tff(4300,plain,
% 4.49/4.72 ($false),
% 4.49/4.72 inference(unit_resolution,[status(thm)],[570, 4299])).
% 4.49/4.72 tff(4301,plain,((mult(mult(mult(mult(c, a), b), mult(a, b)), a) = mult(mult(mult(c, a), b), mult(a, mult(a, b)))) | (mult(mult(c, a), b) = mult(c, mult(a, b))) | (~(mult(mult(c, a), b) = mult(c, mult(b, a))))), inference(lemma,lemma(discharge,[]))).
% 4.49/4.72 tff(4302,plain,
% 4.49/4.72 (mult(mult(mult(mult(c, a), b), mult(a, b)), a) = mult(mult(mult(c, a), b), mult(a, mult(a, b)))),
% 4.49/4.72 inference(unit_resolution,[status(thm)],[4301, 3071, 570])).
% 4.49/4.72 tff(4303,assumption,(~(mult(mult(mult(mult(c, a), b), a), mult(a, b)) = mult(mult(mult(c, a), b), mult(mult(a, b), a)))), introduced(assumption)).
% 4.49/4.72 tff(4304,plain,
% 4.49/4.72 (((~(mult(mult(mult(mult(c, a), b), a), mult(a, b)) = mult(mult(mult(c, a), b), mult(mult(a, b), a)))) | (~(mult(mult(mult(mult(c, a), b), mult(a, b)), a) = mult(mult(mult(c, a), b), mult(a, mult(a, b)))))) | (mult(mult(mult(mult(c, a), b), a), mult(a, b)) = mult(mult(mult(c, a), b), mult(mult(a, b), a)))),
% 4.49/4.72 inference(tautology,[status(thm)],[])).
% 4.49/4.72 tff(4305,plain,
% 4.49/4.72 ((~(mult(mult(mult(mult(c, a), b), a), mult(a, b)) = mult(mult(mult(c, a), b), mult(mult(a, b), a)))) | (~(mult(mult(mult(mult(c, a), b), mult(a, b)), a) = mult(mult(mult(c, a), b), mult(a, mult(a, b)))))),
% 4.49/4.73 inference(unit_resolution,[status(thm)],[4304, 4303])).
% 4.49/4.73 tff(4306,plain,
% 4.49/4.73 (~((~(mult(mult(mult(mult(c, a), b), a), mult(a, b)) = mult(mult(mult(c, a), b), mult(a, mult(a, b))))) | (~(mult(mult(mult(mult(c, a), b), mult(a, b)), a) = mult(mult(mult(c, a), b), mult(mult(a, b), a)))))),
% 4.49/4.73 inference(unit_resolution,[status(thm)],[4222, 4305])).
% 4.49/4.73 tff(4307,plain,
% 4.49/4.73 (mult(mult(mult(mult(c, a), b), mult(a, b)), a) = mult(mult(mult(c, a), b), mult(mult(a, b), a))),
% 4.49/4.73 inference(unit_resolution,[status(thm)],[4228, 4306])).
% 4.49/4.73 tff(4308,plain,
% 4.49/4.73 (mult(mult(mult(c, a), b), mult(mult(a, b), a)) = mult(mult(mult(mult(c, a), b), mult(a, b)), a)),
% 4.49/4.73 inference(symmetry,[status(thm)],[4307])).
% 4.49/4.73 tff(4309,plain,
% 4.49/4.73 (mult(mult(mult(mult(c, a), b), a), mult(a, b)) = mult(mult(mult(c, a), b), mult(a, mult(a, b)))),
% 4.49/4.73 inference(unit_resolution,[status(thm)],[4224, 4306])).
% 4.49/4.73 tff(4310,plain,
% 4.49/4.73 ((mult(mult(mult(mult(c, a), b), a), mult(a, b)) = mult(mult(mult(c, a), b), mult(mult(a, b), a))) <=> (mult(mult(mult(c, a), b), mult(a, mult(a, b))) = mult(mult(mult(mult(c, a), b), mult(a, b)), a))),
% 4.49/4.73 inference(monotonicity,[status(thm)],[4309, 4308])).
% 4.49/4.73 tff(4311,plain,
% 4.49/4.73 ((mult(mult(mult(mult(c, a), b), a), mult(a, b)) = mult(mult(mult(c, a), b), mult(mult(a, b), a))) <=> (mult(mult(mult(mult(c, a), b), mult(a, b)), a) = mult(mult(mult(c, a), b), mult(a, mult(a, b))))),
% 4.49/4.73 inference(transitivity,[status(thm)],[4310, 4276])).
% 4.49/4.73 tff(4312,plain,
% 4.49/4.73 ((mult(mult(mult(mult(c, a), b), mult(a, b)), a) = mult(mult(mult(c, a), b), mult(a, mult(a, b)))) <=> (mult(mult(mult(mult(c, a), b), a), mult(a, b)) = mult(mult(mult(c, a), b), mult(mult(a, b), a)))),
% 4.49/4.73 inference(symmetry,[status(thm)],[4311])).
% 4.49/4.73 tff(4313,assumption,(mult(mult(mult(mult(c, a), b), mult(a, b)), a) = mult(mult(mult(c, a), b), mult(a, mult(a, b)))), introduced(assumption)).
% 4.49/4.73 tff(4314,plain,
% 4.49/4.73 (mult(mult(mult(mult(c, a), b), a), mult(a, b)) = mult(mult(mult(c, a), b), mult(mult(a, b), a))),
% 4.49/4.73 inference(modus_ponens,[status(thm)],[4313, 4312])).
% 4.49/4.73 tff(4315,plain,
% 4.49/4.73 ($false),
% 4.49/4.73 inference(unit_resolution,[status(thm)],[4303, 4314])).
% 4.49/4.73 tff(4316,plain,((mult(mult(mult(mult(c, a), b), a), mult(a, b)) = mult(mult(mult(c, a), b), mult(mult(a, b), a))) | (~(mult(mult(mult(mult(c, a), b), mult(a, b)), a) = mult(mult(mult(c, a), b), mult(a, mult(a, b)))))), inference(lemma,lemma(discharge,[]))).
% 4.49/4.73 tff(4317,plain,
% 4.49/4.73 (mult(mult(mult(mult(c, a), b), a), mult(a, b)) = mult(mult(mult(c, a), b), mult(mult(a, b), a))),
% 4.49/4.73 inference(unit_resolution,[status(thm)],[4316, 4302])).
% 4.49/4.73 tff(4318,plain,
% 4.49/4.73 ((~![B: $i, A: $i] : (ld(A, mult(A, B)) = B)) | (ld(mult(c, mult(mult(a, b), a)), mult(mult(c, mult(mult(a, b), a)), mult(b, a))) = mult(b, a))),
% 4.49/4.73 inference(quant_inst,[status(thm)],[])).
% 4.49/4.73 tff(4319,plain,
% 4.49/4.73 (ld(mult(c, mult(mult(a, b), a)), mult(mult(c, mult(mult(a, b), a)), mult(b, a))) = mult(b, a)),
% 4.49/4.73 inference(unit_resolution,[status(thm)],[4318, 9])).
% 4.49/4.73 tff(4320,assumption,(mult(mult(mult(c, mult(mult(a, b), a)), b), a) = mult(mult(c, mult(mult(a, b), a)), mult(b, a))), introduced(assumption)).
% 4.49/4.73 tff(4321,plain,
% 4.49/4.73 (mult(mult(c, mult(mult(a, b), a)), b) = mult(mult(mult(mult(c, a), b), a), b)),
% 4.49/4.73 inference(monotonicity,[status(thm)],[2808])).
% 4.49/4.73 tff(4322,plain,
% 4.49/4.73 (mult(mult(mult(mult(c, a), b), a), b) = mult(mult(c, mult(mult(a, b), a)), b)),
% 4.49/4.73 inference(symmetry,[status(thm)],[4321])).
% 4.49/4.73 tff(4323,plain,
% 4.49/4.73 (mult(mult(mult(mult(mult(c, a), b), a), b), a) = mult(mult(mult(c, mult(mult(a, b), a)), b), a)),
% 4.49/4.73 inference(monotonicity,[status(thm)],[4322])).
% 4.49/4.73 tff(4324,plain,
% 4.49/4.73 (mult(mult(mult(c, a), b), mult(mult(a, b), a)) = mult(mult(mult(mult(mult(c, a), b), a), b), a)),
% 4.49/4.73 inference(symmetry,[status(thm)],[4212])).
% 4.49/4.73 tff(4325,assumption,(mult(mult(mult(mult(c, a), b), a), mult(a, b)) = mult(mult(mult(c, a), b), mult(mult(a, b), a))), introduced(assumption)).
% 4.49/4.73 tff(4326,plain,
% 4.49/4.73 (mult(mult(c, mult(mult(a, b), a)), mult(a, b)) = mult(mult(c, mult(mult(a, b), a)), mult(b, a))),
% 4.49/4.73 inference(transitivity,[status(thm)],[4226, 4325, 4324, 4323, 4320])).
% 4.49/4.73 tff(4327,plain,
% 4.49/4.73 (ld(mult(c, mult(mult(a, b), a)), mult(mult(c, mult(mult(a, b), a)), mult(a, b))) = ld(mult(c, mult(mult(a, b), a)), mult(mult(c, mult(mult(a, b), a)), mult(b, a)))),
% 4.49/4.73 inference(monotonicity,[status(thm)],[4326])).
% 4.49/4.73 tff(4328,plain,
% 4.49/4.73 ((~![B: $i, A: $i] : (ld(A, mult(A, B)) = B)) | (ld(mult(c, mult(mult(a, b), a)), mult(mult(c, mult(mult(a, b), a)), mult(a, b))) = mult(a, b))),
% 4.49/4.73 inference(quant_inst,[status(thm)],[])).
% 4.49/4.73 tff(4329,plain,
% 4.49/4.73 (ld(mult(c, mult(mult(a, b), a)), mult(mult(c, mult(mult(a, b), a)), mult(a, b))) = mult(a, b)),
% 4.49/4.73 inference(unit_resolution,[status(thm)],[4328, 9])).
% 4.49/4.73 tff(4330,plain,
% 4.49/4.73 (mult(a, b) = ld(mult(c, mult(mult(a, b), a)), mult(mult(c, mult(mult(a, b), a)), mult(a, b)))),
% 4.49/4.73 inference(symmetry,[status(thm)],[4329])).
% 4.49/4.73 tff(4331,plain,
% 4.49/4.73 (mult(a, b) = mult(b, a)),
% 4.49/4.73 inference(transitivity,[status(thm)],[4330, 4327, 4319])).
% 4.49/4.73 tff(4332,plain,
% 4.49/4.73 ($false),
% 4.49/4.73 inference(unit_resolution,[status(thm)],[1, 4331])).
% 4.49/4.73 tff(4333,plain,((~(mult(mult(mult(c, mult(mult(a, b), a)), b), a) = mult(mult(c, mult(mult(a, b), a)), mult(b, a)))) | (mult(a, b) = mult(b, a)) | (~(mult(mult(mult(mult(c, a), b), a), mult(a, b)) = mult(mult(mult(c, a), b), mult(mult(a, b), a))))), inference(lemma,lemma(discharge,[]))).
% 4.49/4.73 tff(4334,plain,
% 4.49/4.73 (~(mult(mult(mult(c, mult(mult(a, b), a)), b), a) = mult(mult(c, mult(mult(a, b), a)), mult(b, a)))),
% 4.49/4.73 inference(unit_resolution,[status(thm)],[4333, 4317, 1])).
% 4.49/4.73 tff(4335,plain,
% 4.49/4.73 ((~(mult(mult(mult(c, mult(mult(a, b), a)), a), b) = mult(mult(c, mult(mult(a, b), a)), mult(a, b)))) | (~(mult(mult(mult(c, mult(mult(a, b), a)), b), a) = mult(mult(c, mult(mult(a, b), a)), mult(b, a))))),
% 4.49/4.73 inference(unit_resolution,[status(thm)],[4243, 4334])).
% 4.49/4.73 tff(4336,plain,
% 4.49/4.73 (~((~(mult(mult(mult(c, mult(mult(a, b), a)), a), b) = mult(mult(c, mult(mult(a, b), a)), mult(b, a)))) | (~(mult(mult(mult(c, mult(mult(a, b), a)), b), a) = mult(mult(c, mult(mult(a, b), a)), mult(a, b)))))),
% 4.49/4.73 inference(unit_resolution,[status(thm)],[4240, 30, 4335])).
% 4.49/4.73 tff(4337,plain,
% 4.49/4.73 (mult(mult(mult(c, mult(mult(a, b), a)), b), a) = mult(mult(c, mult(mult(a, b), a)), mult(a, b))),
% 4.49/4.73 inference(unit_resolution,[status(thm)],[4236, 4336])).
% 4.49/4.73 tff(4338,plain,
% 4.49/4.73 (mult(mult(c, mult(mult(a, b), a)), mult(a, b)) = mult(mult(mult(c, mult(mult(a, b), a)), b), a)),
% 4.49/4.73 inference(symmetry,[status(thm)],[4337])).
% 4.49/4.73 tff(4339,plain,
% 4.49/4.73 (mult(mult(mult(mult(c, a), b), a), mult(a, b)) = mult(mult(c, mult(mult(a, b), a)), mult(a, b))),
% 4.49/4.73 inference(symmetry,[status(thm)],[4226])).
% 4.49/4.73 tff(4340,plain,
% 4.49/4.73 (mult(mult(mult(c, a), b), mult(mult(a, b), a)) = mult(mult(mult(mult(c, a), b), a), mult(a, b))),
% 4.49/4.73 inference(symmetry,[status(thm)],[4317])).
% 4.49/4.73 tff(4341,plain,
% 4.49/4.73 (mult(mult(mult(c, a), b), mult(a, mult(b, a))) = mult(mult(mult(c, a), b), mult(mult(a, b), a))),
% 4.49/4.73 inference(monotonicity,[status(thm)],[4194])).
% 4.49/4.73 tff(4342,plain,
% 4.49/4.73 ((mult(mult(mult(c, a), b), mult(a, mult(b, a))) = mult(mult(mult(mult(c, a), b), a), mult(b, a))) <=> (mult(mult(mult(mult(c, a), b), a), mult(b, a)) = mult(mult(mult(c, a), b), mult(a, mult(b, a))))),
% 4.49/4.73 inference(commutativity,[status(thm)],[])).
% 4.49/4.73 tff(4343,plain,
% 4.49/4.73 (mult(mult(mult(mult(c, a), b), a), mult(b, a)) = mult(mult(c, mult(mult(a, b), a)), mult(b, a))),
% 4.49/4.73 inference(monotonicity,[status(thm)],[2807])).
% 4.49/4.73 tff(4344,plain,
% 4.49/4.73 (mult(mult(c, mult(mult(a, b), a)), mult(b, a)) = mult(mult(mult(mult(c, a), b), a), mult(b, a))),
% 4.49/4.73 inference(symmetry,[status(thm)],[4343])).
% 4.49/4.73 tff(4345,plain,
% 4.49/4.73 (mult(mult(mult(c, a), b), mult(mult(a, b), a)) = mult(mult(mult(c, a), b), mult(a, mult(b, a)))),
% 4.49/4.73 inference(symmetry,[status(thm)],[4341])).
% 4.49/4.73 tff(4346,plain,
% 4.49/4.73 (mult(mult(mult(c, mult(mult(a, b), a)), b), a) = mult(mult(mult(c, a), b), mult(a, mult(b, a)))),
% 4.49/4.73 inference(transitivity,[status(thm)],[4215, 4212, 4345])).
% 4.49/4.73 tff(4347,plain,
% 4.49/4.73 ((mult(mult(mult(c, mult(mult(a, b), a)), b), a) = mult(mult(c, mult(mult(a, b), a)), mult(b, a))) <=> (mult(mult(mult(c, a), b), mult(a, mult(b, a))) = mult(mult(mult(mult(c, a), b), a), mult(b, a)))),
% 4.56/4.73 inference(monotonicity,[status(thm)],[4346, 4344])).
% 4.56/4.73 tff(4348,plain,
% 4.56/4.73 ((mult(mult(mult(c, mult(mult(a, b), a)), b), a) = mult(mult(c, mult(mult(a, b), a)), mult(b, a))) <=> (mult(mult(mult(mult(c, a), b), a), mult(b, a)) = mult(mult(mult(c, a), b), mult(a, mult(b, a))))),
% 4.56/4.73 inference(transitivity,[status(thm)],[4347, 4342])).
% 4.56/4.73 tff(4349,plain,
% 4.56/4.73 ((mult(mult(mult(mult(c, a), b), a), mult(b, a)) = mult(mult(mult(c, a), b), mult(a, mult(b, a)))) <=> (mult(mult(mult(c, mult(mult(a, b), a)), b), a) = mult(mult(c, mult(mult(a, b), a)), mult(b, a)))),
% 4.56/4.73 inference(symmetry,[status(thm)],[4348])).
% 4.56/4.73 tff(4350,assumption,(mult(mult(mult(mult(c, a), b), a), mult(b, a)) = mult(mult(mult(c, a), b), mult(a, mult(b, a)))), introduced(assumption)).
% 4.56/4.73 tff(4351,plain,
% 4.56/4.73 (mult(mult(mult(c, mult(mult(a, b), a)), b), a) = mult(mult(c, mult(mult(a, b), a)), mult(b, a))),
% 4.56/4.73 inference(modus_ponens,[status(thm)],[4350, 4349])).
% 4.56/4.73 tff(4352,assumption,(~(mult(mult(mult(c, mult(mult(a, b), a)), b), a) = mult(mult(c, mult(mult(a, b), a)), mult(b, a)))), introduced(assumption)).
% 4.56/4.73 tff(4353,plain,
% 4.56/4.73 ($false),
% 4.56/4.73 inference(unit_resolution,[status(thm)],[4352, 4351])).
% 4.56/4.73 tff(4354,plain,((~(mult(mult(mult(mult(c, a), b), a), mult(b, a)) = mult(mult(mult(c, a), b), mult(a, mult(b, a))))) | (mult(mult(mult(c, mult(mult(a, b), a)), b), a) = mult(mult(c, mult(mult(a, b), a)), mult(b, a)))), inference(lemma,lemma(discharge,[]))).
% 4.56/4.73 tff(4355,plain,
% 4.56/4.73 (~(mult(mult(mult(mult(c, a), b), a), mult(b, a)) = mult(mult(mult(c, a), b), mult(a, mult(b, a))))),
% 4.56/4.73 inference(unit_resolution,[status(thm)],[4354, 4334])).
% 4.56/4.73 tff(4356,plain,
% 4.56/4.73 (((~(mult(mult(mult(mult(c, a), b), mult(b, a)), a) = mult(mult(mult(c, a), b), mult(mult(b, a), a)))) | (~(mult(mult(mult(mult(c, a), b), a), mult(b, a)) = mult(mult(mult(c, a), b), mult(a, mult(b, a)))))) | (mult(mult(mult(mult(c, a), b), a), mult(b, a)) = mult(mult(mult(c, a), b), mult(a, mult(b, a))))),
% 4.56/4.73 inference(tautology,[status(thm)],[])).
% 4.56/4.73 tff(4357,plain,
% 4.56/4.73 ((~(mult(mult(mult(mult(c, a), b), mult(b, a)), a) = mult(mult(mult(c, a), b), mult(mult(b, a), a)))) | (~(mult(mult(mult(mult(c, a), b), a), mult(b, a)) = mult(mult(mult(c, a), b), mult(a, mult(b, a)))))),
% 4.56/4.73 inference(unit_resolution,[status(thm)],[4356, 4355])).
% 4.56/4.73 tff(4358,plain,
% 4.56/4.73 (((~![X0: $i, X1: $i, X2: $i] : ((~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X2, X1)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X1, X2)))))) | (~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X1, X2)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X2, X1)))))))) | ((~((~(mult(mult(mult(mult(c, a), b), mult(b, a)), a) = mult(mult(mult(c, a), b), mult(a, mult(b, a))))) | (~(mult(mult(mult(mult(c, a), b), a), mult(b, a)) = mult(mult(mult(c, a), b), mult(mult(b, a), a)))))) | (~((~(mult(mult(mult(mult(c, a), b), mult(b, a)), a) = mult(mult(mult(c, a), b), mult(mult(b, a), a)))) | (~(mult(mult(mult(mult(c, a), b), a), mult(b, a)) = mult(mult(mult(c, a), b), mult(a, mult(b, a))))))))) <=> ((~![X0: $i, X1: $i, X2: $i] : ((~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X2, X1)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X1, X2)))))) | (~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X1, X2)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X2, X1)))))))) | (~((~(mult(mult(mult(mult(c, a), b), mult(b, a)), a) = mult(mult(mult(c, a), b), mult(a, mult(b, a))))) | (~(mult(mult(mult(mult(c, a), b), a), mult(b, a)) = mult(mult(mult(c, a), b), mult(mult(b, a), a)))))) | (~((~(mult(mult(mult(mult(c, a), b), mult(b, a)), a) = mult(mult(mult(c, a), b), mult(mult(b, a), a)))) | (~(mult(mult(mult(mult(c, a), b), a), mult(b, a)) = mult(mult(mult(c, a), b), mult(a, mult(b, a))))))))),
% 4.56/4.73 inference(rewrite,[status(thm)],[])).
% 4.56/4.73 tff(4359,plain,
% 4.56/4.73 ((~![X0: $i, X1: $i, X2: $i] : ((~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X2, X1)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X1, X2)))))) | (~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X1, X2)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X2, X1)))))))) | ((~((~(mult(mult(mult(mult(c, a), b), mult(b, a)), a) = mult(mult(mult(c, a), b), mult(a, mult(b, a))))) | (~(mult(mult(mult(mult(c, a), b), a), mult(b, a)) = mult(mult(mult(c, a), b), mult(mult(b, a), a)))))) | (~((~(mult(mult(mult(mult(c, a), b), mult(b, a)), a) = mult(mult(mult(c, a), b), mult(mult(b, a), a)))) | (~(mult(mult(mult(mult(c, a), b), a), mult(b, a)) = mult(mult(mult(c, a), b), mult(a, mult(b, a))))))))),
% 4.56/4.73 inference(quant_inst,[status(thm)],[])).
% 4.56/4.73 tff(4360,plain,
% 4.56/4.73 ((~![X0: $i, X1: $i, X2: $i] : ((~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X2, X1)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X1, X2)))))) | (~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X1, X2)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X2, X1)))))))) | (~((~(mult(mult(mult(mult(c, a), b), mult(b, a)), a) = mult(mult(mult(c, a), b), mult(a, mult(b, a))))) | (~(mult(mult(mult(mult(c, a), b), a), mult(b, a)) = mult(mult(mult(c, a), b), mult(mult(b, a), a)))))) | (~((~(mult(mult(mult(mult(c, a), b), mult(b, a)), a) = mult(mult(mult(c, a), b), mult(mult(b, a), a)))) | (~(mult(mult(mult(mult(c, a), b), a), mult(b, a)) = mult(mult(mult(c, a), b), mult(a, mult(b, a)))))))),
% 4.56/4.73 inference(modus_ponens,[status(thm)],[4359, 4358])).
% 4.56/4.73 tff(4361,plain,
% 4.56/4.73 (~((~(mult(mult(mult(mult(c, a), b), mult(b, a)), a) = mult(mult(mult(c, a), b), mult(a, mult(b, a))))) | (~(mult(mult(mult(mult(c, a), b), a), mult(b, a)) = mult(mult(mult(c, a), b), mult(mult(b, a), a)))))),
% 4.56/4.73 inference(unit_resolution,[status(thm)],[4360, 30, 4357])).
% 4.56/4.73 tff(4362,plain,
% 4.56/4.73 (((~(mult(mult(mult(mult(c, a), b), mult(b, a)), a) = mult(mult(mult(c, a), b), mult(a, mult(b, a))))) | (~(mult(mult(mult(mult(c, a), b), a), mult(b, a)) = mult(mult(mult(c, a), b), mult(mult(b, a), a))))) | (mult(mult(mult(mult(c, a), b), mult(b, a)), a) = mult(mult(mult(c, a), b), mult(a, mult(b, a))))),
% 4.56/4.73 inference(tautology,[status(thm)],[])).
% 4.56/4.73 tff(4363,plain,
% 4.56/4.73 (mult(mult(mult(mult(c, a), b), mult(b, a)), a) = mult(mult(mult(c, a), b), mult(a, mult(b, a)))),
% 4.56/4.73 inference(unit_resolution,[status(thm)],[4362, 4361])).
% 4.56/4.73 tff(4364,plain,
% 4.56/4.73 (mult(mult(mult(mult(c, a), b), mult(b, a)), a) = mult(mult(mult(c, mult(mult(a, b), a)), b), a)),
% 4.56/4.73 inference(transitivity,[status(thm)],[4363, 4341, 4340, 4339, 4338])).
% 4.56/4.73 tff(4365,plain,
% 4.56/4.73 (rd(mult(mult(mult(mult(c, a), b), mult(b, a)), a), a) = rd(mult(mult(mult(c, mult(mult(a, b), a)), b), a), a)),
% 4.56/4.73 inference(monotonicity,[status(thm)],[4364])).
% 4.56/4.73 tff(4366,plain,
% 4.56/4.73 (mult(mult(mult(c, a), b), mult(a, mult(b, a))) = mult(mult(mult(mult(c, a), b), mult(b, a)), a)),
% 4.56/4.73 inference(symmetry,[status(thm)],[4363])).
% 4.56/4.73 tff(4367,plain,
% 4.56/4.73 (mult(a, mult(mult(c, a), b)) = mult(a, mult(c, mult(b, a)))),
% 4.56/4.73 inference(monotonicity,[status(thm)],[3071])).
% 4.56/4.73 tff(4368,plain,
% 4.56/4.73 (mult(a, mult(c, mult(b, a))) = mult(a, mult(mult(c, a), b))),
% 4.56/4.73 inference(symmetry,[status(thm)],[4367])).
% 4.56/4.73 tff(4369,plain,
% 4.56/4.73 ((mult(c, mult(a, b)) = mult(mult(c, a), b)) <=> (mult(mult(c, a), b) = mult(c, mult(a, b)))),
% 4.56/4.73 inference(commutativity,[status(thm)],[])).
% 4.56/4.73 tff(4370,plain,
% 4.56/4.73 ((mult(mult(c, b), a) = mult(c, mult(b, a))) <=> (mult(c, mult(a, b)) = mult(mult(c, a), b))),
% 4.56/4.73 inference(monotonicity,[status(thm)],[1595, 3072])).
% 4.56/4.73 tff(4371,plain,
% 4.56/4.73 ((mult(mult(c, b), a) = mult(c, mult(b, a))) <=> (mult(mult(c, a), b) = mult(c, mult(a, b)))),
% 4.56/4.73 inference(transitivity,[status(thm)],[4370, 4369])).
% 4.56/4.73 tff(4372,plain,
% 4.56/4.73 ((mult(mult(c, a), b) = mult(c, mult(a, b))) <=> (mult(mult(c, b), a) = mult(c, mult(b, a)))),
% 4.56/4.73 inference(symmetry,[status(thm)],[4371])).
% 4.56/4.73 tff(4373,plain,
% 4.56/4.73 ((~(mult(mult(c, a), b) = mult(c, mult(a, b)))) <=> (~(mult(mult(c, b), a) = mult(c, mult(b, a))))),
% 4.56/4.73 inference(monotonicity,[status(thm)],[4372])).
% 4.56/4.73 tff(4374,plain,
% 4.56/4.73 (~(mult(mult(c, b), a) = mult(c, mult(b, a)))),
% 4.56/4.73 inference(modus_ponens,[status(thm)],[570, 4373])).
% 4.56/4.73 tff(4375,plain,
% 4.56/4.73 ((~![B: $i, A: $i] : (rd(mult(A, B), B) = A)) | (rd(mult(mult(c, mult(a, b)), mult(mult(a, b), a)), mult(mult(a, b), a)) = mult(c, mult(a, b)))),
% 4.56/4.73 inference(quant_inst,[status(thm)],[])).
% 4.56/4.73 tff(4376,plain,
% 4.56/4.73 (rd(mult(mult(c, mult(a, b)), mult(mult(a, b), a)), mult(mult(a, b), a)) = mult(c, mult(a, b))),
% 4.56/4.73 inference(unit_resolution,[status(thm)],[4375, 72])).
% 4.56/4.73 tff(4377,plain,
% 4.56/4.73 (mult(mult(a, b), mult(mult(a, b), a)) = mult(mult(a, mult(mult(b, a), b)), a)),
% 4.56/4.73 inference(transitivity,[status(thm)],[4273, 4270])).
% 4.56/4.73 tff(4378,plain,
% 4.56/4.73 (mult(c, mult(mult(a, b), mult(mult(a, b), a))) = mult(c, mult(mult(a, mult(mult(b, a), b)), a))),
% 4.56/4.73 inference(monotonicity,[status(thm)],[4377])).
% 4.56/4.73 tff(4379,assumption,(mult(mult(c, mult(a, b)), mult(mult(a, b), a)) = mult(c, mult(mult(a, b), mult(mult(a, b), a)))), introduced(assumption)).
% 4.56/4.73 tff(4380,plain,
% 4.56/4.73 (mult(mult(c, mult(a, b)), mult(mult(a, b), a)) = mult(mult(mult(c, a), b), mult(mult(a, b), a))),
% 4.56/4.73 inference(transitivity,[status(thm)],[4379, 4378, 4262, 4259, 4215, 4212])).
% 4.56/4.73 tff(4381,plain,
% 4.56/4.73 (rd(mult(mult(c, mult(a, b)), mult(mult(a, b), a)), mult(mult(a, b), a)) = rd(mult(mult(mult(c, a), b), mult(mult(a, b), a)), mult(mult(a, b), a))),
% 4.56/4.73 inference(monotonicity,[status(thm)],[4380])).
% 4.56/4.73 tff(4382,plain,
% 4.56/4.74 (rd(mult(mult(mult(c, a), b), mult(mult(a, b), a)), mult(mult(a, b), a)) = rd(mult(mult(c, mult(a, b)), mult(mult(a, b), a)), mult(mult(a, b), a))),
% 4.56/4.74 inference(symmetry,[status(thm)],[4381])).
% 4.56/4.74 tff(4383,assumption,(~(mult(mult(c, b), a) = mult(c, mult(b, a)))), introduced(assumption)).
% 4.56/4.74 tff(4384,plain,
% 4.56/4.74 ((~(mult(mult(c, b), a) = mult(c, mult(b, a)))) | (~(mult(mult(c, a), b) = mult(c, mult(a, b))))),
% 4.56/4.74 inference(unit_resolution,[status(thm)],[543, 4383])).
% 4.56/4.74 tff(4385,plain,
% 4.56/4.74 (~((~(mult(mult(c, b), a) = mult(c, mult(a, b)))) | (~(mult(mult(c, a), b) = mult(c, mult(b, a)))))),
% 4.56/4.74 inference(unit_resolution,[status(thm)],[301, 4384])).
% 4.56/4.74 tff(4386,plain,
% 4.56/4.74 (mult(mult(c, a), b) = mult(c, mult(b, a))),
% 4.56/4.74 inference(unit_resolution,[status(thm)],[303, 4385])).
% 4.56/4.74 tff(4387,plain,
% 4.56/4.74 (mult(c, mult(b, a)) = mult(mult(c, a), b)),
% 4.56/4.74 inference(symmetry,[status(thm)],[4386])).
% 4.56/4.74 tff(4388,plain,
% 4.56/4.74 (mult(c, mult(b, a)) = mult(c, mult(a, b))),
% 4.56/4.74 inference(transitivity,[status(thm)],[4387, 4298, 4382, 4376])).
% 4.56/4.74 tff(4389,plain,
% 4.56/4.74 ((mult(mult(c, b), a) = mult(c, mult(b, a))) <=> (mult(mult(c, b), a) = mult(c, mult(a, b)))),
% 4.56/4.74 inference(monotonicity,[status(thm)],[4388])).
% 4.56/4.74 tff(4390,plain,
% 4.56/4.74 ((mult(mult(c, b), a) = mult(c, mult(a, b))) <=> (mult(mult(c, b), a) = mult(c, mult(b, a)))),
% 4.56/4.74 inference(symmetry,[status(thm)],[4389])).
% 4.56/4.74 tff(4391,plain,
% 4.56/4.74 (mult(mult(c, b), a) = mult(c, mult(a, b))),
% 4.56/4.74 inference(unit_resolution,[status(thm)],[546, 4385])).
% 4.56/4.74 tff(4392,plain,
% 4.56/4.74 (mult(mult(c, b), a) = mult(c, mult(b, a))),
% 4.56/4.74 inference(modus_ponens,[status(thm)],[4391, 4390])).
% 4.56/4.74 tff(4393,plain,
% 4.56/4.74 ($false),
% 4.56/4.74 inference(unit_resolution,[status(thm)],[4383, 4392])).
% 4.56/4.74 tff(4394,plain,((mult(mult(c, b), a) = mult(c, mult(b, a))) | (~(mult(mult(c, mult(a, b)), mult(mult(a, b), a)) = mult(c, mult(mult(a, b), mult(mult(a, b), a)))))), inference(lemma,lemma(discharge,[]))).
% 4.56/4.74 tff(4395,plain,
% 4.56/4.74 (~(mult(mult(c, mult(a, b)), mult(mult(a, b), a)) = mult(c, mult(mult(a, b), mult(mult(a, b), a))))),
% 4.56/4.74 inference(unit_resolution,[status(thm)],[4394, 4374])).
% 4.56/4.74 tff(4396,plain,
% 4.56/4.74 ((~(mult(mult(c, mult(a, b)), mult(mult(a, b), a)) = mult(c, mult(mult(a, b), mult(mult(a, b), a))))) | (~(mult(mult(c, mult(mult(a, b), a)), mult(a, b)) = mult(c, mult(mult(mult(a, b), a), mult(a, b)))))),
% 4.56/4.74 inference(unit_resolution,[status(thm)],[4290, 4395])).
% 4.56/4.74 tff(4397,plain,
% 4.56/4.74 (~((~(mult(mult(c, mult(a, b)), mult(mult(a, b), a)) = mult(c, mult(mult(mult(a, b), a), mult(a, b))))) | (~(mult(mult(c, mult(mult(a, b), a)), mult(a, b)) = mult(c, mult(mult(a, b), mult(mult(a, b), a))))))),
% 4.56/4.74 inference(unit_resolution,[status(thm)],[4288, 4396])).
% 4.56/4.74 tff(4398,plain,
% 4.56/4.74 (((~(mult(mult(c, mult(a, b)), mult(mult(a, b), a)) = mult(c, mult(mult(mult(a, b), a), mult(a, b))))) | (~(mult(mult(c, mult(mult(a, b), a)), mult(a, b)) = mult(c, mult(mult(a, b), mult(mult(a, b), a)))))) | (mult(mult(c, mult(a, b)), mult(mult(a, b), a)) = mult(c, mult(mult(mult(a, b), a), mult(a, b))))),
% 4.56/4.74 inference(tautology,[status(thm)],[])).
% 4.56/4.74 tff(4399,plain,
% 4.56/4.74 (mult(mult(c, mult(a, b)), mult(mult(a, b), a)) = mult(c, mult(mult(mult(a, b), a), mult(a, b)))),
% 4.56/4.74 inference(unit_resolution,[status(thm)],[4398, 4397])).
% 4.56/4.74 tff(4400,plain,
% 4.56/4.74 (((~(mult(mult(mult(c, mult(mult(a, b), a)), a), b) = mult(mult(c, mult(mult(a, b), a)), mult(b, a)))) | (~(mult(mult(mult(c, mult(mult(a, b), a)), b), a) = mult(mult(c, mult(mult(a, b), a)), mult(a, b))))) | (mult(mult(mult(c, mult(mult(a, b), a)), a), b) = mult(mult(c, mult(mult(a, b), a)), mult(b, a)))),
% 4.56/4.74 inference(tautology,[status(thm)],[])).
% 4.56/4.74 tff(4401,plain,
% 4.56/4.74 (mult(mult(mult(c, mult(mult(a, b), a)), a), b) = mult(mult(c, mult(mult(a, b), a)), mult(b, a))),
% 4.56/4.74 inference(unit_resolution,[status(thm)],[4400, 4336])).
% 4.56/4.74 tff(4402,plain,
% 4.56/4.74 ((mult(c, mult(mult(mult(a, b), a), mult(a, b))) = mult(mult(c, mult(mult(a, b), a)), mult(a, b))) <=> (mult(mult(c, mult(mult(a, b), a)), mult(a, b)) = mult(c, mult(mult(mult(a, b), a), mult(a, b))))),
% 4.56/4.74 inference(commutativity,[status(thm)],[])).
% 4.56/4.74 tff(4403,plain,
% 4.56/4.74 (mult(mult(c, mult(mult(a, b), a)), mult(a, b)) = mult(c, mult(mult(a, b), mult(mult(a, b), a)))),
% 4.56/4.74 inference(unit_resolution,[status(thm)],[4283, 4397])).
% 4.56/4.74 tff(4404,plain,
% 4.56/4.74 (mult(c, mult(mult(a, b), mult(mult(a, b), a))) = mult(mult(c, mult(mult(a, b), a)), mult(a, b))),
% 4.56/4.74 inference(symmetry,[status(thm)],[4403])).
% 4.56/4.74 tff(4405,plain,
% 4.56/4.74 ((mult(mult(c, mult(a, b)), mult(mult(a, b), a)) = mult(c, mult(mult(a, b), mult(mult(a, b), a)))) <=> (mult(c, mult(mult(mult(a, b), a), mult(a, b))) = mult(mult(c, mult(mult(a, b), a)), mult(a, b)))),
% 4.56/4.74 inference(monotonicity,[status(thm)],[4399, 4404])).
% 4.56/4.74 tff(4406,plain,
% 4.56/4.74 ((mult(mult(c, mult(a, b)), mult(mult(a, b), a)) = mult(c, mult(mult(a, b), mult(mult(a, b), a)))) <=> (mult(mult(c, mult(mult(a, b), a)), mult(a, b)) = mult(c, mult(mult(mult(a, b), a), mult(a, b))))),
% 4.56/4.74 inference(transitivity,[status(thm)],[4405, 4402])).
% 4.56/4.74 tff(4407,plain,
% 4.56/4.74 ((~(mult(mult(c, mult(a, b)), mult(mult(a, b), a)) = mult(c, mult(mult(a, b), mult(mult(a, b), a))))) <=> (~(mult(mult(c, mult(mult(a, b), a)), mult(a, b)) = mult(c, mult(mult(mult(a, b), a), mult(a, b)))))),
% 4.56/4.74 inference(monotonicity,[status(thm)],[4406])).
% 4.56/4.74 tff(4408,plain,
% 4.56/4.74 (~(mult(mult(c, mult(mult(a, b), a)), mult(a, b)) = mult(c, mult(mult(mult(a, b), a), mult(a, b))))),
% 4.56/4.74 inference(modus_ponens,[status(thm)],[4395, 4407])).
% 4.56/4.74 tff(4409,assumption,(mult(mult(c, mult(a, b)), mult(mult(a, b), a)) = mult(c, mult(mult(mult(a, b), a), mult(a, b)))), introduced(assumption)).
% 4.56/4.74 tff(4410,plain,
% 4.56/4.74 ((~![C: $i, B: $i, A: $i] : (mult(mult(mult(A, B), C), B) = mult(A, mult(mult(B, C), B)))) | (mult(mult(mult(mult(c, mult(a, b)), a), b), a) = mult(mult(c, mult(a, b)), mult(mult(a, b), a)))),
% 4.56/4.74 inference(quant_inst,[status(thm)],[])).
% 4.56/4.74 tff(4411,plain,
% 4.56/4.74 (mult(mult(mult(mult(c, mult(a, b)), a), b), a) = mult(mult(c, mult(a, b)), mult(mult(a, b), a))),
% 4.56/4.74 inference(unit_resolution,[status(thm)],[4410, 860])).
% 4.56/4.74 tff(4412,assumption,(mult(mult(mult(c, mult(mult(a, b), a)), b), a) = mult(mult(c, mult(mult(a, b), a)), mult(a, b))), introduced(assumption)).
% 4.56/4.74 tff(4413,plain,
% 4.56/4.74 (mult(mult(c, mult(mult(a, b), a)), mult(a, b)) = mult(mult(mult(c, mult(mult(a, b), a)), b), a)),
% 4.56/4.74 inference(symmetry,[status(thm)],[4412])).
% 4.56/4.74 tff(4414,plain,
% 4.56/4.74 (mult(mult(mult(c, a), b), mult(mult(a, b), a)) = mult(mult(mult(mult(c, a), b), a), mult(a, b))),
% 4.56/4.74 inference(symmetry,[status(thm)],[4325])).
% 4.56/4.74 tff(4415,plain,
% 4.56/4.74 (mult(mult(mult(c, a), b), mult(a, mult(b, a))) = mult(mult(mult(c, a), b), mult(mult(a, b), a))),
% 4.56/4.74 inference(monotonicity,[status(thm)],[2149])).
% 4.56/4.74 tff(4416,assumption,(mult(mult(mult(mult(c, a), b), mult(b, a)), a) = mult(mult(mult(c, a), b), mult(a, mult(b, a)))), introduced(assumption)).
% 4.56/4.74 tff(4417,plain,
% 4.56/4.74 (mult(mult(mult(mult(c, a), b), mult(b, a)), a) = mult(mult(mult(c, mult(mult(a, b), a)), b), a)),
% 4.56/4.74 inference(transitivity,[status(thm)],[4416, 4415, 4414, 4339, 4413])).
% 4.56/4.74 tff(4418,plain,
% 4.56/4.74 (rd(mult(mult(mult(mult(c, a), b), mult(b, a)), a), a) = rd(mult(mult(mult(c, mult(mult(a, b), a)), b), a), a)),
% 4.56/4.74 inference(monotonicity,[status(thm)],[4417])).
% 4.56/4.74 tff(4419,plain,
% 4.56/4.74 ((~![B: $i, A: $i] : (rd(mult(A, B), B) = A)) | (rd(mult(mult(mult(mult(c, a), b), mult(b, a)), a), a) = mult(mult(mult(c, a), b), mult(b, a)))),
% 4.56/4.74 inference(quant_inst,[status(thm)],[])).
% 4.56/4.74 tff(4420,plain,
% 4.56/4.74 (rd(mult(mult(mult(mult(c, a), b), mult(b, a)), a), a) = mult(mult(mult(c, a), b), mult(b, a))),
% 4.56/4.74 inference(unit_resolution,[status(thm)],[4419, 72])).
% 4.56/4.74 tff(4421,plain,
% 4.56/4.74 (mult(mult(mult(c, a), b), mult(b, a)) = rd(mult(mult(mult(mult(c, a), b), mult(b, a)), a), a)),
% 4.56/4.74 inference(symmetry,[status(thm)],[4420])).
% 4.56/4.74 tff(4422,plain,
% 4.56/4.74 (mult(mult(c, mult(b, a)), mult(b, a)) = mult(mult(mult(c, a), b), mult(b, a))),
% 4.56/4.74 inference(monotonicity,[status(thm)],[382])).
% 4.56/4.74 tff(4423,plain,
% 4.56/4.74 (((~![X0: $i, X1: $i, X2: $i] : ((~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X2, X1)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X1, X2)))))) | (~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X1, X2)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X2, X1)))))))) | (mult(mult(c, mult(b, a)), mult(b, a)) = mult(c, mult(mult(b, a), mult(b, a))))) <=> ((~![X0: $i, X1: $i, X2: $i] : ((~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X2, X1)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X1, X2)))))) | (~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X1, X2)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X2, X1)))))))) | (mult(mult(c, mult(b, a)), mult(b, a)) = mult(c, mult(mult(b, a), mult(b, a)))))),
% 4.56/4.74 inference(rewrite,[status(thm)],[])).
% 4.56/4.74 tff(4424,plain,
% 4.56/4.74 (((mult(mult(c, mult(b, a)), mult(b, a)) = mult(c, mult(mult(b, a), mult(b, a)))) | (mult(mult(c, mult(b, a)), mult(b, a)) = mult(c, mult(mult(b, a), mult(b, a))))) <=> (mult(mult(c, mult(b, a)), mult(b, a)) = mult(c, mult(mult(b, a), mult(b, a))))),
% 4.56/4.74 inference(rewrite,[status(thm)],[])).
% 4.56/4.74 tff(4425,plain,
% 4.56/4.74 ((~(~(mult(mult(c, mult(b, a)), mult(b, a)) = mult(c, mult(mult(b, a), mult(b, a)))))) <=> (mult(mult(c, mult(b, a)), mult(b, a)) = mult(c, mult(mult(b, a), mult(b, a))))),
% 4.56/4.74 inference(rewrite,[status(thm)],[])).
% 4.56/4.74 tff(4426,plain,
% 4.56/4.74 (((~(mult(mult(c, mult(b, a)), mult(b, a)) = mult(c, mult(mult(b, a), mult(b, a))))) | (~(mult(mult(c, mult(b, a)), mult(b, a)) = mult(c, mult(mult(b, a), mult(b, a)))))) <=> (~(mult(mult(c, mult(b, a)), mult(b, a)) = mult(c, mult(mult(b, a), mult(b, a)))))),
% 4.56/4.74 inference(rewrite,[status(thm)],[])).
% 4.56/4.74 tff(4427,plain,
% 4.56/4.74 ((~((~(mult(mult(c, mult(b, a)), mult(b, a)) = mult(c, mult(mult(b, a), mult(b, a))))) | (~(mult(mult(c, mult(b, a)), mult(b, a)) = mult(c, mult(mult(b, a), mult(b, a))))))) <=> (~(~(mult(mult(c, mult(b, a)), mult(b, a)) = mult(c, mult(mult(b, a), mult(b, a))))))),
% 4.56/4.74 inference(monotonicity,[status(thm)],[4426])).
% 4.56/4.74 tff(4428,plain,
% 4.56/4.74 ((~((~(mult(mult(c, mult(b, a)), mult(b, a)) = mult(c, mult(mult(b, a), mult(b, a))))) | (~(mult(mult(c, mult(b, a)), mult(b, a)) = mult(c, mult(mult(b, a), mult(b, a))))))) <=> (mult(mult(c, mult(b, a)), mult(b, a)) = mult(c, mult(mult(b, a), mult(b, a))))),
% 4.56/4.74 inference(transitivity,[status(thm)],[4427, 4425])).
% 4.56/4.74 tff(4429,plain,
% 4.56/4.74 (((~((~(mult(mult(c, mult(b, a)), mult(b, a)) = mult(c, mult(mult(b, a), mult(b, a))))) | (~(mult(mult(c, mult(b, a)), mult(b, a)) = mult(c, mult(mult(b, a), mult(b, a))))))) | (~((~(mult(mult(c, mult(b, a)), mult(b, a)) = mult(c, mult(mult(b, a), mult(b, a))))) | (~(mult(mult(c, mult(b, a)), mult(b, a)) = mult(c, mult(mult(b, a), mult(b, a)))))))) <=> ((mult(mult(c, mult(b, a)), mult(b, a)) = mult(c, mult(mult(b, a), mult(b, a)))) | (mult(mult(c, mult(b, a)), mult(b, a)) = mult(c, mult(mult(b, a), mult(b, a)))))),
% 4.56/4.74 inference(monotonicity,[status(thm)],[4428, 4428])).
% 4.56/4.74 tff(4430,plain,
% 4.56/4.74 (((~((~(mult(mult(c, mult(b, a)), mult(b, a)) = mult(c, mult(mult(b, a), mult(b, a))))) | (~(mult(mult(c, mult(b, a)), mult(b, a)) = mult(c, mult(mult(b, a), mult(b, a))))))) | (~((~(mult(mult(c, mult(b, a)), mult(b, a)) = mult(c, mult(mult(b, a), mult(b, a))))) | (~(mult(mult(c, mult(b, a)), mult(b, a)) = mult(c, mult(mult(b, a), mult(b, a)))))))) <=> (mult(mult(c, mult(b, a)), mult(b, a)) = mult(c, mult(mult(b, a), mult(b, a))))),
% 4.56/4.74 inference(transitivity,[status(thm)],[4429, 4424])).
% 4.56/4.74 tff(4431,plain,
% 4.56/4.74 (((~![X0: $i, X1: $i, X2: $i] : ((~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X2, X1)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X1, X2)))))) | (~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X1, X2)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X2, X1)))))))) | ((~((~(mult(mult(c, mult(b, a)), mult(b, a)) = mult(c, mult(mult(b, a), mult(b, a))))) | (~(mult(mult(c, mult(b, a)), mult(b, a)) = mult(c, mult(mult(b, a), mult(b, a))))))) | (~((~(mult(mult(c, mult(b, a)), mult(b, a)) = mult(c, mult(mult(b, a), mult(b, a))))) | (~(mult(mult(c, mult(b, a)), mult(b, a)) = mult(c, mult(mult(b, a), mult(b, a))))))))) <=> ((~![X0: $i, X1: $i, X2: $i] : ((~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X2, X1)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X1, X2)))))) | (~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X1, X2)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X2, X1)))))))) | (mult(mult(c, mult(b, a)), mult(b, a)) = mult(c, mult(mult(b, a), mult(b, a)))))),
% 4.56/4.74 inference(monotonicity,[status(thm)],[4430])).
% 4.56/4.74 tff(4432,plain,
% 4.56/4.74 (((~![X0: $i, X1: $i, X2: $i] : ((~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X2, X1)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X1, X2)))))) | (~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X1, X2)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X2, X1)))))))) | ((~((~(mult(mult(c, mult(b, a)), mult(b, a)) = mult(c, mult(mult(b, a), mult(b, a))))) | (~(mult(mult(c, mult(b, a)), mult(b, a)) = mult(c, mult(mult(b, a), mult(b, a))))))) | (~((~(mult(mult(c, mult(b, a)), mult(b, a)) = mult(c, mult(mult(b, a), mult(b, a))))) | (~(mult(mult(c, mult(b, a)), mult(b, a)) = mult(c, mult(mult(b, a), mult(b, a))))))))) <=> ((~![X0: $i, X1: $i, X2: $i] : ((~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X2, X1)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X1, X2)))))) | (~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X1, X2)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X2, X1)))))))) | (mult(mult(c, mult(b, a)), mult(b, a)) = mult(c, mult(mult(b, a), mult(b, a)))))),
% 4.56/4.74 inference(transitivity,[status(thm)],[4431, 4423])).
% 4.56/4.74 tff(4433,plain,
% 4.56/4.74 ((~![X0: $i, X1: $i, X2: $i] : ((~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X2, X1)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X1, X2)))))) | (~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X1, X2)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X2, X1)))))))) | ((~((~(mult(mult(c, mult(b, a)), mult(b, a)) = mult(c, mult(mult(b, a), mult(b, a))))) | (~(mult(mult(c, mult(b, a)), mult(b, a)) = mult(c, mult(mult(b, a), mult(b, a))))))) | (~((~(mult(mult(c, mult(b, a)), mult(b, a)) = mult(c, mult(mult(b, a), mult(b, a))))) | (~(mult(mult(c, mult(b, a)), mult(b, a)) = mult(c, mult(mult(b, a), mult(b, a))))))))),
% 4.56/4.74 inference(quant_inst,[status(thm)],[])).
% 4.56/4.74 tff(4434,plain,
% 4.56/4.74 ((~![X0: $i, X1: $i, X2: $i] : ((~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X2, X1)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X1, X2)))))) | (~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X1, X2)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X2, X1)))))))) | (mult(mult(c, mult(b, a)), mult(b, a)) = mult(c, mult(mult(b, a), mult(b, a))))),
% 4.56/4.74 inference(modus_ponens,[status(thm)],[4433, 4432])).
% 4.56/4.74 tff(4435,plain,
% 4.56/4.74 (mult(mult(c, mult(b, a)), mult(b, a)) = mult(c, mult(mult(b, a), mult(b, a)))),
% 4.56/4.74 inference(unit_resolution,[status(thm)],[4434, 30])).
% 4.56/4.74 tff(4436,plain,
% 4.56/4.74 (mult(c, mult(mult(b, a), mult(b, a))) = mult(mult(c, mult(b, a)), mult(b, a))),
% 4.56/4.74 inference(symmetry,[status(thm)],[4435])).
% 4.56/4.74 tff(4437,plain,
% 4.56/4.74 ((~![B: $i, A: $i] : (ld(A, mult(A, B)) = B)) | (ld(mult(c, a), mult(mult(c, a), mult(mult(b, a), mult(b, a)))) = mult(mult(b, a), mult(b, a)))),
% 4.56/4.74 inference(quant_inst,[status(thm)],[])).
% 4.56/4.74 tff(4438,plain,
% 4.56/4.74 (ld(mult(c, a), mult(mult(c, a), mult(mult(b, a), mult(b, a)))) = mult(mult(b, a), mult(b, a))),
% 4.56/4.74 inference(unit_resolution,[status(thm)],[4437, 9])).
% 4.56/4.74 tff(4439,plain,
% 4.56/4.74 ((~![C: $i, B: $i, A: $i] : (mult(mult(mult(A, B), C), B) = mult(A, mult(mult(B, C), B)))) | (mult(mult(mult(mult(c, a), b), mult(a, a)), b) = mult(mult(c, a), mult(mult(b, mult(a, a)), b)))),
% 4.56/4.74 inference(quant_inst,[status(thm)],[])).
% 4.56/4.74 tff(4440,plain,
% 4.56/4.74 (mult(mult(mult(mult(c, a), b), mult(a, a)), b) = mult(mult(c, a), mult(mult(b, mult(a, a)), b))),
% 4.56/4.74 inference(unit_resolution,[status(thm)],[4439, 860])).
% 4.56/4.74 tff(4441,plain,
% 4.56/4.74 (mult(mult(mult(mult(c, a), b), a), a) = mult(mult(c, mult(mult(a, b), a)), a)),
% 4.56/4.74 inference(monotonicity,[status(thm)],[2807])).
% 4.56/4.74 tff(4442,plain,
% 4.56/4.74 (((~![X0: $i, X1: $i, X2: $i] : ((~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X2, X1)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X1, X2)))))) | (~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X1, X2)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X2, X1)))))))) | (mult(mult(mult(mult(c, a), b), a), a) = mult(mult(mult(c, a), b), mult(a, a)))) <=> ((~![X0: $i, X1: $i, X2: $i] : ((~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X2, X1)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X1, X2)))))) | (~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X1, X2)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X2, X1)))))))) | (mult(mult(mult(mult(c, a), b), a), a) = mult(mult(mult(c, a), b), mult(a, a))))),
% 4.56/4.74 inference(rewrite,[status(thm)],[])).
% 4.56/4.74 tff(4443,plain,
% 4.56/4.74 (((mult(mult(mult(mult(c, a), b), a), a) = mult(mult(mult(c, a), b), mult(a, a))) | (mult(mult(mult(mult(c, a), b), a), a) = mult(mult(mult(c, a), b), mult(a, a)))) <=> (mult(mult(mult(mult(c, a), b), a), a) = mult(mult(mult(c, a), b), mult(a, a)))),
% 4.56/4.74 inference(rewrite,[status(thm)],[])).
% 4.56/4.74 tff(4444,plain,
% 4.56/4.74 ((~(~(mult(mult(mult(mult(c, a), b), a), a) = mult(mult(mult(c, a), b), mult(a, a))))) <=> (mult(mult(mult(mult(c, a), b), a), a) = mult(mult(mult(c, a), b), mult(a, a)))),
% 4.56/4.74 inference(rewrite,[status(thm)],[])).
% 4.56/4.74 tff(4445,plain,
% 4.56/4.74 (((~(mult(mult(mult(mult(c, a), b), a), a) = mult(mult(mult(c, a), b), mult(a, a)))) | (~(mult(mult(mult(mult(c, a), b), a), a) = mult(mult(mult(c, a), b), mult(a, a))))) <=> (~(mult(mult(mult(mult(c, a), b), a), a) = mult(mult(mult(c, a), b), mult(a, a))))),
% 4.56/4.74 inference(rewrite,[status(thm)],[])).
% 4.56/4.74 tff(4446,plain,
% 4.56/4.74 ((~((~(mult(mult(mult(mult(c, a), b), a), a) = mult(mult(mult(c, a), b), mult(a, a)))) | (~(mult(mult(mult(mult(c, a), b), a), a) = mult(mult(mult(c, a), b), mult(a, a)))))) <=> (~(~(mult(mult(mult(mult(c, a), b), a), a) = mult(mult(mult(c, a), b), mult(a, a)))))),
% 4.56/4.74 inference(monotonicity,[status(thm)],[4445])).
% 4.56/4.74 tff(4447,plain,
% 4.56/4.74 ((~((~(mult(mult(mult(mult(c, a), b), a), a) = mult(mult(mult(c, a), b), mult(a, a)))) | (~(mult(mult(mult(mult(c, a), b), a), a) = mult(mult(mult(c, a), b), mult(a, a)))))) <=> (mult(mult(mult(mult(c, a), b), a), a) = mult(mult(mult(c, a), b), mult(a, a)))),
% 4.56/4.74 inference(transitivity,[status(thm)],[4446, 4444])).
% 4.56/4.74 tff(4448,plain,
% 4.56/4.74 (((~((~(mult(mult(mult(mult(c, a), b), a), a) = mult(mult(mult(c, a), b), mult(a, a)))) | (~(mult(mult(mult(mult(c, a), b), a), a) = mult(mult(mult(c, a), b), mult(a, a)))))) | (~((~(mult(mult(mult(mult(c, a), b), a), a) = mult(mult(mult(c, a), b), mult(a, a)))) | (~(mult(mult(mult(mult(c, a), b), a), a) = mult(mult(mult(c, a), b), mult(a, a))))))) <=> ((mult(mult(mult(mult(c, a), b), a), a) = mult(mult(mult(c, a), b), mult(a, a))) | (mult(mult(mult(mult(c, a), b), a), a) = mult(mult(mult(c, a), b), mult(a, a))))),
% 4.56/4.74 inference(monotonicity,[status(thm)],[4447, 4447])).
% 4.56/4.74 tff(4449,plain,
% 4.56/4.74 (((~((~(mult(mult(mult(mult(c, a), b), a), a) = mult(mult(mult(c, a), b), mult(a, a)))) | (~(mult(mult(mult(mult(c, a), b), a), a) = mult(mult(mult(c, a), b), mult(a, a)))))) | (~((~(mult(mult(mult(mult(c, a), b), a), a) = mult(mult(mult(c, a), b), mult(a, a)))) | (~(mult(mult(mult(mult(c, a), b), a), a) = mult(mult(mult(c, a), b), mult(a, a))))))) <=> (mult(mult(mult(mult(c, a), b), a), a) = mult(mult(mult(c, a), b), mult(a, a)))),
% 4.56/4.74 inference(transitivity,[status(thm)],[4448, 4443])).
% 4.56/4.74 tff(4450,plain,
% 4.56/4.74 (((~![X0: $i, X1: $i, X2: $i] : ((~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X2, X1)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X1, X2)))))) | (~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X1, X2)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X2, X1)))))))) | ((~((~(mult(mult(mult(mult(c, a), b), a), a) = mult(mult(mult(c, a), b), mult(a, a)))) | (~(mult(mult(mult(mult(c, a), b), a), a) = mult(mult(mult(c, a), b), mult(a, a)))))) | (~((~(mult(mult(mult(mult(c, a), b), a), a) = mult(mult(mult(c, a), b), mult(a, a)))) | (~(mult(mult(mult(mult(c, a), b), a), a) = mult(mult(mult(c, a), b), mult(a, a)))))))) <=> ((~![X0: $i, X1: $i, X2: $i] : ((~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X2, X1)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X1, X2)))))) | (~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X1, X2)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X2, X1)))))))) | (mult(mult(mult(mult(c, a), b), a), a) = mult(mult(mult(c, a), b), mult(a, a))))),
% 4.56/4.75 inference(monotonicity,[status(thm)],[4449])).
% 4.56/4.75 tff(4451,plain,
% 4.56/4.75 (((~![X0: $i, X1: $i, X2: $i] : ((~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X2, X1)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X1, X2)))))) | (~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X1, X2)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X2, X1)))))))) | ((~((~(mult(mult(mult(mult(c, a), b), a), a) = mult(mult(mult(c, a), b), mult(a, a)))) | (~(mult(mult(mult(mult(c, a), b), a), a) = mult(mult(mult(c, a), b), mult(a, a)))))) | (~((~(mult(mult(mult(mult(c, a), b), a), a) = mult(mult(mult(c, a), b), mult(a, a)))) | (~(mult(mult(mult(mult(c, a), b), a), a) = mult(mult(mult(c, a), b), mult(a, a)))))))) <=> ((~![X0: $i, X1: $i, X2: $i] : ((~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X2, X1)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X1, X2)))))) | (~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X1, X2)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X2, X1)))))))) | (mult(mult(mult(mult(c, a), b), a), a) = mult(mult(mult(c, a), b), mult(a, a))))),
% 4.56/4.75 inference(transitivity,[status(thm)],[4450, 4442])).
% 4.56/4.75 tff(4452,plain,
% 4.56/4.75 ((~![X0: $i, X1: $i, X2: $i] : ((~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X2, X1)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X1, X2)))))) | (~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X1, X2)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X2, X1)))))))) | ((~((~(mult(mult(mult(mult(c, a), b), a), a) = mult(mult(mult(c, a), b), mult(a, a)))) | (~(mult(mult(mult(mult(c, a), b), a), a) = mult(mult(mult(c, a), b), mult(a, a)))))) | (~((~(mult(mult(mult(mult(c, a), b), a), a) = mult(mult(mult(c, a), b), mult(a, a)))) | (~(mult(mult(mult(mult(c, a), b), a), a) = mult(mult(mult(c, a), b), mult(a, a)))))))),
% 4.56/4.75 inference(quant_inst,[status(thm)],[])).
% 4.56/4.75 tff(4453,plain,
% 4.56/4.75 ((~![X0: $i, X1: $i, X2: $i] : ((~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X2, X1)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X1, X2)))))) | (~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X1, X2)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X2, X1)))))))) | (mult(mult(mult(mult(c, a), b), a), a) = mult(mult(mult(c, a), b), mult(a, a)))),
% 4.56/4.75 inference(modus_ponens,[status(thm)],[4452, 4451])).
% 4.56/4.75 tff(4454,plain,
% 4.56/4.75 (mult(mult(mult(mult(c, a), b), a), a) = mult(mult(mult(c, a), b), mult(a, a))),
% 4.56/4.75 inference(unit_resolution,[status(thm)],[4453, 30])).
% 4.56/4.75 tff(4455,plain,
% 4.56/4.75 (mult(mult(mult(c, a), b), mult(a, a)) = mult(mult(mult(mult(c, a), b), a), a)),
% 4.56/4.75 inference(symmetry,[status(thm)],[4454])).
% 4.56/4.75 tff(4456,plain,
% 4.56/4.75 (mult(mult(mult(c, a), b), mult(a, a)) = mult(mult(c, mult(mult(a, b), a)), a)),
% 4.56/4.75 inference(transitivity,[status(thm)],[4455, 4441])).
% 4.56/4.75 tff(4457,plain,
% 4.56/4.75 (mult(mult(mult(mult(c, a), b), mult(a, a)), b) = mult(mult(mult(c, mult(mult(a, b), a)), a), b)),
% 4.56/4.75 inference(monotonicity,[status(thm)],[4456])).
% 4.56/4.75 tff(4458,plain,
% 4.56/4.75 (mult(mult(mult(c, mult(mult(a, b), a)), a), b) = mult(mult(mult(mult(c, a), b), mult(a, a)), b)),
% 4.56/4.75 inference(symmetry,[status(thm)],[4457])).
% 4.56/4.75 tff(4459,assumption,(mult(mult(mult(c, mult(mult(a, b), a)), a), b) = mult(mult(c, mult(mult(a, b), a)), mult(b, a))), introduced(assumption)).
% 4.56/4.75 tff(4460,plain,
% 4.56/4.75 (mult(mult(c, mult(mult(a, b), a)), mult(b, a)) = mult(mult(mult(c, mult(mult(a, b), a)), a), b)),
% 4.56/4.75 inference(symmetry,[status(thm)],[4459])).
% 4.56/4.75 tff(4461,assumption,(mult(mult(mult(c, a), b), a) = mult(mult(c, a), mult(b, a))), introduced(assumption)).
% 4.56/4.75 tff(4462,plain,
% 4.56/4.75 (mult(mult(c, a), mult(b, a)) = mult(mult(mult(c, a), b), a)),
% 4.56/4.75 inference(symmetry,[status(thm)],[4461])).
% 4.56/4.75 tff(4463,plain,
% 4.56/4.75 (mult(mult(c, a), mult(b, a)) = mult(c, mult(mult(a, b), a))),
% 4.56/4.75 inference(transitivity,[status(thm)],[4462, 2807])).
% 4.56/4.75 tff(4464,plain,
% 4.56/4.75 (mult(mult(mult(c, a), mult(b, a)), mult(b, a)) = mult(mult(c, mult(mult(a, b), a)), mult(b, a))),
% 4.56/4.75 inference(monotonicity,[status(thm)],[4463])).
% 4.56/4.75 tff(4465,plain,
% 4.56/4.75 (((~![X0: $i, X1: $i, X2: $i] : ((~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X2, X1)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X1, X2)))))) | (~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X1, X2)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X2, X1)))))))) | (mult(mult(mult(c, a), mult(b, a)), mult(b, a)) = mult(mult(c, a), mult(mult(b, a), mult(b, a))))) <=> ((~![X0: $i, X1: $i, X2: $i] : ((~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X2, X1)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X1, X2)))))) | (~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X1, X2)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X2, X1)))))))) | (mult(mult(mult(c, a), mult(b, a)), mult(b, a)) = mult(mult(c, a), mult(mult(b, a), mult(b, a)))))),
% 4.56/4.75 inference(rewrite,[status(thm)],[])).
% 4.56/4.75 tff(4466,plain,
% 4.56/4.75 (((mult(mult(mult(c, a), mult(b, a)), mult(b, a)) = mult(mult(c, a), mult(mult(b, a), mult(b, a)))) | (mult(mult(mult(c, a), mult(b, a)), mult(b, a)) = mult(mult(c, a), mult(mult(b, a), mult(b, a))))) <=> (mult(mult(mult(c, a), mult(b, a)), mult(b, a)) = mult(mult(c, a), mult(mult(b, a), mult(b, a))))),
% 4.56/4.75 inference(rewrite,[status(thm)],[])).
% 4.56/4.75 tff(4467,plain,
% 4.56/4.75 ((~(~(mult(mult(mult(c, a), mult(b, a)), mult(b, a)) = mult(mult(c, a), mult(mult(b, a), mult(b, a)))))) <=> (mult(mult(mult(c, a), mult(b, a)), mult(b, a)) = mult(mult(c, a), mult(mult(b, a), mult(b, a))))),
% 4.56/4.75 inference(rewrite,[status(thm)],[])).
% 4.56/4.75 tff(4468,plain,
% 4.56/4.75 (((~(mult(mult(mult(c, a), mult(b, a)), mult(b, a)) = mult(mult(c, a), mult(mult(b, a), mult(b, a))))) | (~(mult(mult(mult(c, a), mult(b, a)), mult(b, a)) = mult(mult(c, a), mult(mult(b, a), mult(b, a)))))) <=> (~(mult(mult(mult(c, a), mult(b, a)), mult(b, a)) = mult(mult(c, a), mult(mult(b, a), mult(b, a)))))),
% 4.56/4.75 inference(rewrite,[status(thm)],[])).
% 4.56/4.75 tff(4469,plain,
% 4.56/4.75 ((~((~(mult(mult(mult(c, a), mult(b, a)), mult(b, a)) = mult(mult(c, a), mult(mult(b, a), mult(b, a))))) | (~(mult(mult(mult(c, a), mult(b, a)), mult(b, a)) = mult(mult(c, a), mult(mult(b, a), mult(b, a))))))) <=> (~(~(mult(mult(mult(c, a), mult(b, a)), mult(b, a)) = mult(mult(c, a), mult(mult(b, a), mult(b, a))))))),
% 4.56/4.75 inference(monotonicity,[status(thm)],[4468])).
% 4.56/4.75 tff(4470,plain,
% 4.56/4.75 ((~((~(mult(mult(mult(c, a), mult(b, a)), mult(b, a)) = mult(mult(c, a), mult(mult(b, a), mult(b, a))))) | (~(mult(mult(mult(c, a), mult(b, a)), mult(b, a)) = mult(mult(c, a), mult(mult(b, a), mult(b, a))))))) <=> (mult(mult(mult(c, a), mult(b, a)), mult(b, a)) = mult(mult(c, a), mult(mult(b, a), mult(b, a))))),
% 4.56/4.75 inference(transitivity,[status(thm)],[4469, 4467])).
% 4.56/4.75 tff(4471,plain,
% 4.56/4.75 (((~((~(mult(mult(mult(c, a), mult(b, a)), mult(b, a)) = mult(mult(c, a), mult(mult(b, a), mult(b, a))))) | (~(mult(mult(mult(c, a), mult(b, a)), mult(b, a)) = mult(mult(c, a), mult(mult(b, a), mult(b, a))))))) | (~((~(mult(mult(mult(c, a), mult(b, a)), mult(b, a)) = mult(mult(c, a), mult(mult(b, a), mult(b, a))))) | (~(mult(mult(mult(c, a), mult(b, a)), mult(b, a)) = mult(mult(c, a), mult(mult(b, a), mult(b, a)))))))) <=> ((mult(mult(mult(c, a), mult(b, a)), mult(b, a)) = mult(mult(c, a), mult(mult(b, a), mult(b, a)))) | (mult(mult(mult(c, a), mult(b, a)), mult(b, a)) = mult(mult(c, a), mult(mult(b, a), mult(b, a)))))),
% 4.56/4.75 inference(monotonicity,[status(thm)],[4470, 4470])).
% 4.56/4.75 tff(4472,plain,
% 4.56/4.75 (((~((~(mult(mult(mult(c, a), mult(b, a)), mult(b, a)) = mult(mult(c, a), mult(mult(b, a), mult(b, a))))) | (~(mult(mult(mult(c, a), mult(b, a)), mult(b, a)) = mult(mult(c, a), mult(mult(b, a), mult(b, a))))))) | (~((~(mult(mult(mult(c, a), mult(b, a)), mult(b, a)) = mult(mult(c, a), mult(mult(b, a), mult(b, a))))) | (~(mult(mult(mult(c, a), mult(b, a)), mult(b, a)) = mult(mult(c, a), mult(mult(b, a), mult(b, a)))))))) <=> (mult(mult(mult(c, a), mult(b, a)), mult(b, a)) = mult(mult(c, a), mult(mult(b, a), mult(b, a))))),
% 4.56/4.75 inference(transitivity,[status(thm)],[4471, 4466])).
% 4.56/4.75 tff(4473,plain,
% 4.56/4.75 (((~![X0: $i, X1: $i, X2: $i] : ((~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X2, X1)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X1, X2)))))) | (~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X1, X2)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X2, X1)))))))) | ((~((~(mult(mult(mult(c, a), mult(b, a)), mult(b, a)) = mult(mult(c, a), mult(mult(b, a), mult(b, a))))) | (~(mult(mult(mult(c, a), mult(b, a)), mult(b, a)) = mult(mult(c, a), mult(mult(b, a), mult(b, a))))))) | (~((~(mult(mult(mult(c, a), mult(b, a)), mult(b, a)) = mult(mult(c, a), mult(mult(b, a), mult(b, a))))) | (~(mult(mult(mult(c, a), mult(b, a)), mult(b, a)) = mult(mult(c, a), mult(mult(b, a), mult(b, a))))))))) <=> ((~![X0: $i, X1: $i, X2: $i] : ((~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X2, X1)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X1, X2)))))) | (~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X1, X2)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X2, X1)))))))) | (mult(mult(mult(c, a), mult(b, a)), mult(b, a)) = mult(mult(c, a), mult(mult(b, a), mult(b, a)))))),
% 4.56/4.75 inference(monotonicity,[status(thm)],[4472])).
% 4.56/4.75 tff(4474,plain,
% 4.56/4.75 (((~![X0: $i, X1: $i, X2: $i] : ((~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X2, X1)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X1, X2)))))) | (~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X1, X2)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X2, X1)))))))) | ((~((~(mult(mult(mult(c, a), mult(b, a)), mult(b, a)) = mult(mult(c, a), mult(mult(b, a), mult(b, a))))) | (~(mult(mult(mult(c, a), mult(b, a)), mult(b, a)) = mult(mult(c, a), mult(mult(b, a), mult(b, a))))))) | (~((~(mult(mult(mult(c, a), mult(b, a)), mult(b, a)) = mult(mult(c, a), mult(mult(b, a), mult(b, a))))) | (~(mult(mult(mult(c, a), mult(b, a)), mult(b, a)) = mult(mult(c, a), mult(mult(b, a), mult(b, a))))))))) <=> ((~![X0: $i, X1: $i, X2: $i] : ((~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X2, X1)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X1, X2)))))) | (~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X1, X2)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X2, X1)))))))) | (mult(mult(mult(c, a), mult(b, a)), mult(b, a)) = mult(mult(c, a), mult(mult(b, a), mult(b, a)))))),
% 4.56/4.75 inference(transitivity,[status(thm)],[4473, 4465])).
% 4.56/4.75 tff(4475,plain,
% 4.56/4.75 ((~![X0: $i, X1: $i, X2: $i] : ((~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X2, X1)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X1, X2)))))) | (~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X1, X2)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X2, X1)))))))) | ((~((~(mult(mult(mult(c, a), mult(b, a)), mult(b, a)) = mult(mult(c, a), mult(mult(b, a), mult(b, a))))) | (~(mult(mult(mult(c, a), mult(b, a)), mult(b, a)) = mult(mult(c, a), mult(mult(b, a), mult(b, a))))))) | (~((~(mult(mult(mult(c, a), mult(b, a)), mult(b, a)) = mult(mult(c, a), mult(mult(b, a), mult(b, a))))) | (~(mult(mult(mult(c, a), mult(b, a)), mult(b, a)) = mult(mult(c, a), mult(mult(b, a), mult(b, a))))))))),
% 4.56/4.75 inference(quant_inst,[status(thm)],[])).
% 4.56/4.75 tff(4476,plain,
% 4.56/4.75 ((~![X0: $i, X1: $i, X2: $i] : ((~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X2, X1)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X1, X2)))))) | (~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X1, X2)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X2, X1)))))))) | (mult(mult(mult(c, a), mult(b, a)), mult(b, a)) = mult(mult(c, a), mult(mult(b, a), mult(b, a))))),
% 4.56/4.75 inference(modus_ponens,[status(thm)],[4475, 4474])).
% 4.56/4.75 tff(4477,plain,
% 4.56/4.75 (mult(mult(mult(c, a), mult(b, a)), mult(b, a)) = mult(mult(c, a), mult(mult(b, a), mult(b, a)))),
% 4.56/4.75 inference(unit_resolution,[status(thm)],[4476, 30])).
% 4.56/4.75 tff(4478,plain,
% 4.56/4.75 (mult(mult(c, a), mult(mult(b, a), mult(b, a))) = mult(mult(mult(c, a), mult(b, a)), mult(b, a))),
% 4.56/4.75 inference(symmetry,[status(thm)],[4477])).
% 4.56/4.75 tff(4479,plain,
% 4.56/4.75 (mult(mult(c, a), mult(mult(b, a), mult(b, a))) = mult(mult(c, a), mult(mult(b, mult(a, a)), b))),
% 4.56/4.75 inference(transitivity,[status(thm)],[4478, 4464, 4460, 4458, 4440])).
% 4.56/4.75 tff(4480,plain,
% 4.56/4.75 (ld(mult(c, a), mult(mult(c, a), mult(mult(b, a), mult(b, a)))) = ld(mult(c, a), mult(mult(c, a), mult(mult(b, mult(a, a)), b)))),
% 4.56/4.75 inference(monotonicity,[status(thm)],[4479])).
% 4.56/4.75 tff(4481,plain,
% 4.56/4.75 (ld(mult(c, a), mult(mult(c, a), mult(mult(b, mult(a, a)), b))) = ld(mult(c, a), mult(mult(c, a), mult(mult(b, a), mult(b, a))))),
% 4.56/4.75 inference(symmetry,[status(thm)],[4480])).
% 4.56/4.75 tff(4482,plain,
% 4.56/4.75 ((~![B: $i, A: $i] : (ld(A, mult(A, B)) = B)) | (ld(mult(c, a), mult(mult(c, a), mult(mult(b, mult(a, a)), b))) = mult(mult(b, mult(a, a)), b))),
% 4.56/4.75 inference(quant_inst,[status(thm)],[])).
% 4.56/4.75 tff(4483,plain,
% 4.56/4.75 (ld(mult(c, a), mult(mult(c, a), mult(mult(b, mult(a, a)), b))) = mult(mult(b, mult(a, a)), b)),
% 4.56/4.75 inference(unit_resolution,[status(thm)],[4482, 9])).
% 4.56/4.75 tff(4484,plain,
% 4.56/4.75 (mult(mult(b, mult(a, a)), b) = ld(mult(c, a), mult(mult(c, a), mult(mult(b, mult(a, a)), b)))),
% 4.56/4.75 inference(symmetry,[status(thm)],[4483])).
% 4.56/4.75 tff(4485,plain,
% 4.56/4.75 (mult(mult(b, mult(a, a)), b) = mult(mult(b, a), mult(b, a))),
% 4.56/4.75 inference(transitivity,[status(thm)],[4484, 4481, 4438])).
% 4.56/4.75 tff(4486,plain,
% 4.56/4.75 (mult(c, mult(mult(b, mult(a, a)), b)) = mult(c, mult(mult(b, a), mult(b, a)))),
% 4.56/4.75 inference(monotonicity,[status(thm)],[4485])).
% 4.56/4.75 tff(4487,plain,
% 4.56/4.75 ((~![C: $i, B: $i, A: $i] : (mult(mult(mult(A, B), C), B) = mult(A, mult(mult(B, C), B)))) | (mult(mult(mult(c, b), mult(a, a)), b) = mult(c, mult(mult(b, mult(a, a)), b)))),
% 4.56/4.75 inference(quant_inst,[status(thm)],[])).
% 4.56/4.75 tff(4488,plain,
% 4.56/4.75 (mult(mult(mult(c, b), mult(a, a)), b) = mult(c, mult(mult(b, mult(a, a)), b))),
% 4.56/4.75 inference(unit_resolution,[status(thm)],[4487, 860])).
% 4.56/4.75 tff(4489,plain,
% 4.56/4.75 (((~![X0: $i, X1: $i, X2: $i] : ((~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X2, X1)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X1, X2)))))) | (~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X1, X2)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X2, X1)))))))) | (mult(mult(mult(c, b), a), a) = mult(mult(c, b), mult(a, a)))) <=> ((~![X0: $i, X1: $i, X2: $i] : ((~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X2, X1)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X1, X2)))))) | (~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X1, X2)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X2, X1)))))))) | (mult(mult(mult(c, b), a), a) = mult(mult(c, b), mult(a, a))))),
% 4.56/4.75 inference(rewrite,[status(thm)],[])).
% 4.56/4.75 tff(4490,plain,
% 4.56/4.75 (((mult(mult(mult(c, b), a), a) = mult(mult(c, b), mult(a, a))) | (mult(mult(mult(c, b), a), a) = mult(mult(c, b), mult(a, a)))) <=> (mult(mult(mult(c, b), a), a) = mult(mult(c, b), mult(a, a)))),
% 4.56/4.75 inference(rewrite,[status(thm)],[])).
% 4.56/4.75 tff(4491,plain,
% 4.56/4.75 ((~(~(mult(mult(mult(c, b), a), a) = mult(mult(c, b), mult(a, a))))) <=> (mult(mult(mult(c, b), a), a) = mult(mult(c, b), mult(a, a)))),
% 4.56/4.75 inference(rewrite,[status(thm)],[])).
% 4.56/4.75 tff(4492,plain,
% 4.56/4.75 (((~(mult(mult(mult(c, b), a), a) = mult(mult(c, b), mult(a, a)))) | (~(mult(mult(mult(c, b), a), a) = mult(mult(c, b), mult(a, a))))) <=> (~(mult(mult(mult(c, b), a), a) = mult(mult(c, b), mult(a, a))))),
% 4.56/4.75 inference(rewrite,[status(thm)],[])).
% 4.56/4.75 tff(4493,plain,
% 4.56/4.75 ((~((~(mult(mult(mult(c, b), a), a) = mult(mult(c, b), mult(a, a)))) | (~(mult(mult(mult(c, b), a), a) = mult(mult(c, b), mult(a, a)))))) <=> (~(~(mult(mult(mult(c, b), a), a) = mult(mult(c, b), mult(a, a)))))),
% 4.56/4.75 inference(monotonicity,[status(thm)],[4492])).
% 4.56/4.75 tff(4494,plain,
% 4.56/4.75 ((~((~(mult(mult(mult(c, b), a), a) = mult(mult(c, b), mult(a, a)))) | (~(mult(mult(mult(c, b), a), a) = mult(mult(c, b), mult(a, a)))))) <=> (mult(mult(mult(c, b), a), a) = mult(mult(c, b), mult(a, a)))),
% 4.56/4.75 inference(transitivity,[status(thm)],[4493, 4491])).
% 4.56/4.75 tff(4495,plain,
% 4.56/4.75 (((~((~(mult(mult(mult(c, b), a), a) = mult(mult(c, b), mult(a, a)))) | (~(mult(mult(mult(c, b), a), a) = mult(mult(c, b), mult(a, a)))))) | (~((~(mult(mult(mult(c, b), a), a) = mult(mult(c, b), mult(a, a)))) | (~(mult(mult(mult(c, b), a), a) = mult(mult(c, b), mult(a, a))))))) <=> ((mult(mult(mult(c, b), a), a) = mult(mult(c, b), mult(a, a))) | (mult(mult(mult(c, b), a), a) = mult(mult(c, b), mult(a, a))))),
% 4.56/4.76 inference(monotonicity,[status(thm)],[4494, 4494])).
% 4.56/4.76 tff(4496,plain,
% 4.56/4.76 (((~((~(mult(mult(mult(c, b), a), a) = mult(mult(c, b), mult(a, a)))) | (~(mult(mult(mult(c, b), a), a) = mult(mult(c, b), mult(a, a)))))) | (~((~(mult(mult(mult(c, b), a), a) = mult(mult(c, b), mult(a, a)))) | (~(mult(mult(mult(c, b), a), a) = mult(mult(c, b), mult(a, a))))))) <=> (mult(mult(mult(c, b), a), a) = mult(mult(c, b), mult(a, a)))),
% 4.56/4.76 inference(transitivity,[status(thm)],[4495, 4490])).
% 4.56/4.76 tff(4497,plain,
% 4.56/4.76 (((~![X0: $i, X1: $i, X2: $i] : ((~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X2, X1)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X1, X2)))))) | (~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X1, X2)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X2, X1)))))))) | ((~((~(mult(mult(mult(c, b), a), a) = mult(mult(c, b), mult(a, a)))) | (~(mult(mult(mult(c, b), a), a) = mult(mult(c, b), mult(a, a)))))) | (~((~(mult(mult(mult(c, b), a), a) = mult(mult(c, b), mult(a, a)))) | (~(mult(mult(mult(c, b), a), a) = mult(mult(c, b), mult(a, a)))))))) <=> ((~![X0: $i, X1: $i, X2: $i] : ((~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X2, X1)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X1, X2)))))) | (~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X1, X2)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X2, X1)))))))) | (mult(mult(mult(c, b), a), a) = mult(mult(c, b), mult(a, a))))),
% 4.56/4.76 inference(monotonicity,[status(thm)],[4496])).
% 4.56/4.76 tff(4498,plain,
% 4.56/4.76 (((~![X0: $i, X1: $i, X2: $i] : ((~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X2, X1)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X1, X2)))))) | (~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X1, X2)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X2, X1)))))))) | ((~((~(mult(mult(mult(c, b), a), a) = mult(mult(c, b), mult(a, a)))) | (~(mult(mult(mult(c, b), a), a) = mult(mult(c, b), mult(a, a)))))) | (~((~(mult(mult(mult(c, b), a), a) = mult(mult(c, b), mult(a, a)))) | (~(mult(mult(mult(c, b), a), a) = mult(mult(c, b), mult(a, a)))))))) <=> ((~![X0: $i, X1: $i, X2: $i] : ((~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X2, X1)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X1, X2)))))) | (~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X1, X2)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X2, X1)))))))) | (mult(mult(mult(c, b), a), a) = mult(mult(c, b), mult(a, a))))),
% 4.56/4.76 inference(transitivity,[status(thm)],[4497, 4489])).
% 4.56/4.76 tff(4499,plain,
% 4.56/4.76 ((~![X0: $i, X1: $i, X2: $i] : ((~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X2, X1)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X1, X2)))))) | (~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X1, X2)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X2, X1)))))))) | ((~((~(mult(mult(mult(c, b), a), a) = mult(mult(c, b), mult(a, a)))) | (~(mult(mult(mult(c, b), a), a) = mult(mult(c, b), mult(a, a)))))) | (~((~(mult(mult(mult(c, b), a), a) = mult(mult(c, b), mult(a, a)))) | (~(mult(mult(mult(c, b), a), a) = mult(mult(c, b), mult(a, a)))))))),
% 4.56/4.76 inference(quant_inst,[status(thm)],[])).
% 4.56/4.76 tff(4500,plain,
% 4.56/4.76 ((~![X0: $i, X1: $i, X2: $i] : ((~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X2, X1)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X1, X2)))))) | (~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X1, X2)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X2, X1)))))))) | (mult(mult(mult(c, b), a), a) = mult(mult(c, b), mult(a, a)))),
% 4.56/4.76 inference(modus_ponens,[status(thm)],[4499, 4498])).
% 4.56/4.76 tff(4501,plain,
% 4.56/4.76 (mult(mult(mult(c, b), a), a) = mult(mult(c, b), mult(a, a))),
% 4.56/4.76 inference(unit_resolution,[status(thm)],[4500, 30])).
% 4.56/4.76 tff(4502,plain,
% 4.56/4.76 (mult(mult(mult(c, b), a), a) = mult(mult(c, mult(a, b)), a)),
% 4.56/4.76 inference(monotonicity,[status(thm)],[1110])).
% 4.56/4.76 tff(4503,plain,
% 4.56/4.76 (mult(mult(c, mult(a, b)), a) = mult(mult(mult(c, b), a), a)),
% 4.56/4.76 inference(symmetry,[status(thm)],[4502])).
% 4.56/4.76 tff(4504,plain,
% 4.56/4.76 (mult(mult(c, mult(a, b)), a) = mult(mult(c, b), mult(a, a))),
% 4.56/4.76 inference(transitivity,[status(thm)],[4503, 4501])).
% 4.56/4.76 tff(4505,plain,
% 4.56/4.76 (mult(mult(mult(c, mult(a, b)), a), b) = mult(mult(mult(c, b), mult(a, a)), b)),
% 4.56/4.76 inference(monotonicity,[status(thm)],[4504])).
% 4.56/4.76 tff(4506,plain,
% 4.56/4.76 (mult(mult(mult(c, mult(a, b)), a), b) = mult(mult(c, mult(mult(a, b), a)), b)),
% 4.56/4.76 inference(transitivity,[status(thm)],[4505, 4488, 4486, 4436, 4422, 4421, 4418, 4208])).
% 4.56/4.76 tff(4507,plain,
% 4.56/4.76 (mult(mult(mult(mult(c, mult(a, b)), a), b), a) = mult(mult(mult(c, mult(mult(a, b), a)), b), a)),
% 4.56/4.76 inference(monotonicity,[status(thm)],[4506])).
% 4.56/4.76 tff(4508,plain,
% 4.56/4.76 (mult(mult(mult(c, mult(mult(a, b), a)), b), a) = mult(mult(mult(mult(c, mult(a, b)), a), b), a)),
% 4.56/4.76 inference(symmetry,[status(thm)],[4507])).
% 4.56/4.76 tff(4509,plain,
% 4.56/4.76 (mult(mult(c, mult(mult(a, b), a)), mult(a, b)) = mult(c, mult(mult(mult(a, b), a), mult(a, b)))),
% 4.56/4.76 inference(transitivity,[status(thm)],[4413, 4508, 4411, 4409])).
% 4.56/4.76 tff(4510,assumption,(~(mult(mult(c, mult(mult(a, b), a)), mult(a, b)) = mult(c, mult(mult(mult(a, b), a), mult(a, b))))), introduced(assumption)).
% 4.56/4.76 tff(4511,plain,
% 4.56/4.76 ($false),
% 4.56/4.76 inference(unit_resolution,[status(thm)],[4510, 4509])).
% 4.56/4.76 tff(4512,plain,((~(mult(mult(mult(c, a), b), a) = mult(mult(c, a), mult(b, a)))) | (mult(mult(c, mult(mult(a, b), a)), mult(a, b)) = mult(c, mult(mult(mult(a, b), a), mult(a, b)))) | (~(mult(mult(c, mult(a, b)), mult(mult(a, b), a)) = mult(c, mult(mult(mult(a, b), a), mult(a, b))))) | (~(mult(mult(mult(c, mult(mult(a, b), a)), b), a) = mult(mult(c, mult(mult(a, b), a)), mult(a, b)))) | (~(mult(mult(mult(mult(c, a), b), mult(b, a)), a) = mult(mult(mult(c, a), b), mult(a, mult(b, a))))) | (~(mult(mult(mult(mult(c, a), b), a), mult(a, b)) = mult(mult(mult(c, a), b), mult(mult(a, b), a)))) | (~(mult(mult(a, b), a) = mult(a, mult(b, a)))) | (~(mult(mult(c, a), b) = mult(c, mult(b, a)))) | (~(mult(mult(mult(c, mult(mult(a, b), a)), a), b) = mult(mult(c, mult(mult(a, b), a)), mult(b, a)))) | (~(mult(mult(c, b), a) = mult(c, mult(a, b))))), inference(lemma,lemma(discharge,[]))).
% 4.56/4.76 tff(4513,plain,
% 4.56/4.76 ((~(mult(mult(mult(c, a), b), a) = mult(mult(c, a), mult(b, a)))) | (mult(mult(c, mult(mult(a, b), a)), mult(a, b)) = mult(c, mult(mult(mult(a, b), a), mult(a, b)))) | (~(mult(mult(c, mult(a, b)), mult(mult(a, b), a)) = mult(c, mult(mult(mult(a, b), a), mult(a, b))))) | (~(mult(mult(mult(c, mult(mult(a, b), a)), b), a) = mult(mult(c, mult(mult(a, b), a)), mult(a, b)))) | (~(mult(mult(mult(mult(c, a), b), mult(b, a)), a) = mult(mult(mult(c, a), b), mult(a, mult(b, a))))) | (~(mult(mult(mult(mult(c, a), b), a), mult(a, b)) = mult(mult(mult(c, a), b), mult(mult(a, b), a)))) | (~(mult(mult(c, a), b) = mult(c, mult(b, a)))) | (~(mult(mult(mult(c, mult(mult(a, b), a)), a), b) = mult(mult(c, mult(mult(a, b), a)), mult(b, a)))) | (~(mult(mult(c, b), a) = mult(c, mult(a, b))))),
% 4.56/4.76 inference(unit_resolution,[status(thm)],[4512, 4193])).
% 4.56/4.76 tff(4514,plain,
% 4.56/4.76 (~(mult(mult(mult(c, a), b), a) = mult(mult(c, a), mult(b, a)))),
% 4.56/4.76 inference(unit_resolution,[status(thm)],[4513, 4408, 1595, 4401, 4337, 4317, 3071, 4363, 4399])).
% 4.56/4.76 tff(4515,plain,
% 4.56/4.76 ((mult(mult(c, a), mult(b, a)) = mult(mult(mult(c, a), b), a)) <=> (mult(mult(mult(c, a), b), a) = mult(mult(c, a), mult(b, a)))),
% 4.56/4.76 inference(commutativity,[status(thm)],[])).
% 4.56/4.76 tff(4516,plain,
% 4.56/4.76 (mult(c, mult(a, mult(b, a))) = mult(c, mult(mult(a, b), a))),
% 4.56/4.76 inference(monotonicity,[status(thm)],[4194])).
% 4.56/4.76 tff(4517,plain,
% 4.56/4.76 (mult(c, mult(a, mult(b, a))) = mult(mult(mult(c, a), b), a)),
% 4.56/4.76 inference(transitivity,[status(thm)],[4516, 2808])).
% 4.56/4.76 tff(4518,plain,
% 4.56/4.76 ((mult(mult(c, a), mult(b, a)) = mult(c, mult(a, mult(b, a)))) <=> (mult(mult(c, a), mult(b, a)) = mult(mult(mult(c, a), b), a))),
% 4.56/4.76 inference(monotonicity,[status(thm)],[4517])).
% 4.56/4.76 tff(4519,plain,
% 4.56/4.76 ((mult(mult(c, a), mult(b, a)) = mult(c, mult(a, mult(b, a)))) <=> (mult(mult(mult(c, a), b), a) = mult(mult(c, a), mult(b, a)))),
% 4.56/4.76 inference(transitivity,[status(thm)],[4518, 4515])).
% 4.56/4.76 tff(4520,assumption,(mult(mult(c, a), mult(b, a)) = mult(c, mult(a, mult(b, a)))), introduced(assumption)).
% 4.56/4.76 tff(4521,plain,
% 4.56/4.76 (mult(mult(mult(c, a), b), a) = mult(mult(c, a), mult(b, a))),
% 4.56/4.76 inference(modus_ponens,[status(thm)],[4520, 4519])).
% 4.56/4.76 tff(4522,assumption,(~(mult(mult(mult(c, a), b), a) = mult(mult(c, a), mult(b, a)))), introduced(assumption)).
% 4.56/4.76 tff(4523,plain,
% 4.56/4.76 ($false),
% 4.56/4.76 inference(unit_resolution,[status(thm)],[4522, 4521])).
% 4.56/4.76 tff(4524,plain,((~(mult(mult(c, a), mult(b, a)) = mult(c, mult(a, mult(b, a))))) | (mult(mult(mult(c, a), b), a) = mult(mult(c, a), mult(b, a)))), inference(lemma,lemma(discharge,[]))).
% 4.56/4.76 tff(4525,plain,
% 4.56/4.76 (~(mult(mult(c, a), mult(b, a)) = mult(c, mult(a, mult(b, a))))),
% 4.56/4.76 inference(unit_resolution,[status(thm)],[4524, 4514])).
% 4.56/4.76 tff(4526,plain,
% 4.56/4.76 (((~(mult(mult(c, a), mult(b, a)) = mult(c, mult(a, mult(b, a))))) | (~(mult(mult(c, mult(b, a)), a) = mult(c, mult(mult(b, a), a))))) | (mult(mult(c, a), mult(b, a)) = mult(c, mult(a, mult(b, a))))),
% 4.56/4.76 inference(tautology,[status(thm)],[])).
% 4.56/4.76 tff(4527,plain,
% 4.56/4.76 ((~(mult(mult(c, a), mult(b, a)) = mult(c, mult(a, mult(b, a))))) | (~(mult(mult(c, mult(b, a)), a) = mult(c, mult(mult(b, a), a))))),
% 4.56/4.76 inference(unit_resolution,[status(thm)],[4526, 4525])).
% 4.56/4.76 tff(4528,plain,
% 4.56/4.76 (((~![X0: $i, X1: $i, X2: $i] : ((~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X2, X1)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X1, X2)))))) | (~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X1, X2)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X2, X1)))))))) | ((~((~(mult(mult(c, a), mult(b, a)) = mult(c, mult(a, mult(b, a))))) | (~(mult(mult(c, mult(b, a)), a) = mult(c, mult(mult(b, a), a)))))) | (~((~(mult(mult(c, a), mult(b, a)) = mult(c, mult(mult(b, a), a)))) | (~(mult(mult(c, mult(b, a)), a) = mult(c, mult(a, mult(b, a))))))))) <=> ((~![X0: $i, X1: $i, X2: $i] : ((~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X2, X1)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X1, X2)))))) | (~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X1, X2)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X2, X1)))))))) | (~((~(mult(mult(c, a), mult(b, a)) = mult(c, mult(a, mult(b, a))))) | (~(mult(mult(c, mult(b, a)), a) = mult(c, mult(mult(b, a), a)))))) | (~((~(mult(mult(c, a), mult(b, a)) = mult(c, mult(mult(b, a), a)))) | (~(mult(mult(c, mult(b, a)), a) = mult(c, mult(a, mult(b, a))))))))),
% 4.56/4.76 inference(rewrite,[status(thm)],[])).
% 4.56/4.76 tff(4529,plain,
% 4.56/4.76 (((~((~(mult(mult(c, a), mult(b, a)) = mult(c, mult(mult(b, a), a)))) | (~(mult(mult(c, mult(b, a)), a) = mult(c, mult(a, mult(b, a))))))) | (~((~(mult(mult(c, a), mult(b, a)) = mult(c, mult(a, mult(b, a))))) | (~(mult(mult(c, mult(b, a)), a) = mult(c, mult(mult(b, a), a))))))) <=> ((~((~(mult(mult(c, a), mult(b, a)) = mult(c, mult(a, mult(b, a))))) | (~(mult(mult(c, mult(b, a)), a) = mult(c, mult(mult(b, a), a)))))) | (~((~(mult(mult(c, a), mult(b, a)) = mult(c, mult(mult(b, a), a)))) | (~(mult(mult(c, mult(b, a)), a) = mult(c, mult(a, mult(b, a))))))))),
% 4.56/4.76 inference(rewrite,[status(thm)],[])).
% 4.56/4.76 tff(4530,plain,
% 4.56/4.76 (((~![X0: $i, X1: $i, X2: $i] : ((~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X2, X1)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X1, X2)))))) | (~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X1, X2)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X2, X1)))))))) | ((~((~(mult(mult(c, a), mult(b, a)) = mult(c, mult(mult(b, a), a)))) | (~(mult(mult(c, mult(b, a)), a) = mult(c, mult(a, mult(b, a))))))) | (~((~(mult(mult(c, a), mult(b, a)) = mult(c, mult(a, mult(b, a))))) | (~(mult(mult(c, mult(b, a)), a) = mult(c, mult(mult(b, a), a)))))))) <=> ((~![X0: $i, X1: $i, X2: $i] : ((~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X2, X1)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X1, X2)))))) | (~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X1, X2)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X2, X1)))))))) | ((~((~(mult(mult(c, a), mult(b, a)) = mult(c, mult(a, mult(b, a))))) | (~(mult(mult(c, mult(b, a)), a) = mult(c, mult(mult(b, a), a)))))) | (~((~(mult(mult(c, a), mult(b, a)) = mult(c, mult(mult(b, a), a)))) | (~(mult(mult(c, mult(b, a)), a) = mult(c, mult(a, mult(b, a)))))))))),
% 4.56/4.76 inference(monotonicity,[status(thm)],[4529])).
% 4.56/4.76 tff(4531,plain,
% 4.56/4.76 (((~![X0: $i, X1: $i, X2: $i] : ((~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X2, X1)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X1, X2)))))) | (~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X1, X2)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X2, X1)))))))) | ((~((~(mult(mult(c, a), mult(b, a)) = mult(c, mult(mult(b, a), a)))) | (~(mult(mult(c, mult(b, a)), a) = mult(c, mult(a, mult(b, a))))))) | (~((~(mult(mult(c, a), mult(b, a)) = mult(c, mult(a, mult(b, a))))) | (~(mult(mult(c, mult(b, a)), a) = mult(c, mult(mult(b, a), a)))))))) <=> ((~![X0: $i, X1: $i, X2: $i] : ((~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X2, X1)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X1, X2)))))) | (~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X1, X2)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X2, X1)))))))) | (~((~(mult(mult(c, a), mult(b, a)) = mult(c, mult(a, mult(b, a))))) | (~(mult(mult(c, mult(b, a)), a) = mult(c, mult(mult(b, a), a)))))) | (~((~(mult(mult(c, a), mult(b, a)) = mult(c, mult(mult(b, a), a)))) | (~(mult(mult(c, mult(b, a)), a) = mult(c, mult(a, mult(b, a))))))))),
% 4.56/4.76 inference(transitivity,[status(thm)],[4530, 4528])).
% 4.56/4.76 tff(4532,plain,
% 4.56/4.76 ((~![X0: $i, X1: $i, X2: $i] : ((~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X2, X1)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X1, X2)))))) | (~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X1, X2)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X2, X1)))))))) | ((~((~(mult(mult(c, a), mult(b, a)) = mult(c, mult(mult(b, a), a)))) | (~(mult(mult(c, mult(b, a)), a) = mult(c, mult(a, mult(b, a))))))) | (~((~(mult(mult(c, a), mult(b, a)) = mult(c, mult(a, mult(b, a))))) | (~(mult(mult(c, mult(b, a)), a) = mult(c, mult(mult(b, a), a)))))))),
% 4.56/4.76 inference(quant_inst,[status(thm)],[])).
% 4.56/4.76 tff(4533,plain,
% 4.56/4.76 ((~![X0: $i, X1: $i, X2: $i] : ((~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X2, X1)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X1, X2)))))) | (~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X1, X2)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X2, X1)))))))) | (~((~(mult(mult(c, a), mult(b, a)) = mult(c, mult(a, mult(b, a))))) | (~(mult(mult(c, mult(b, a)), a) = mult(c, mult(mult(b, a), a)))))) | (~((~(mult(mult(c, a), mult(b, a)) = mult(c, mult(mult(b, a), a)))) | (~(mult(mult(c, mult(b, a)), a) = mult(c, mult(a, mult(b, a)))))))),
% 4.56/4.76 inference(modus_ponens,[status(thm)],[4532, 4531])).
% 4.56/4.76 tff(4534,plain,
% 4.56/4.76 ((~((~(mult(mult(c, a), mult(b, a)) = mult(c, mult(a, mult(b, a))))) | (~(mult(mult(c, mult(b, a)), a) = mult(c, mult(mult(b, a), a)))))) | (~((~(mult(mult(c, a), mult(b, a)) = mult(c, mult(mult(b, a), a)))) | (~(mult(mult(c, mult(b, a)), a) = mult(c, mult(a, mult(b, a)))))))),
% 4.56/4.76 inference(unit_resolution,[status(thm)],[4533, 30])).
% 4.56/4.76 tff(4535,plain,
% 4.56/4.76 (~((~(mult(mult(c, a), mult(b, a)) = mult(c, mult(mult(b, a), a)))) | (~(mult(mult(c, mult(b, a)), a) = mult(c, mult(a, mult(b, a))))))),
% 4.56/4.76 inference(unit_resolution,[status(thm)],[4534, 4527])).
% 4.56/4.76 tff(4536,plain,
% 4.56/4.76 (((~(mult(mult(c, a), mult(b, a)) = mult(c, mult(mult(b, a), a)))) | (~(mult(mult(c, mult(b, a)), a) = mult(c, mult(a, mult(b, a)))))) | (mult(mult(c, a), mult(b, a)) = mult(c, mult(mult(b, a), a)))),
% 4.56/4.76 inference(tautology,[status(thm)],[])).
% 4.56/4.76 tff(4537,plain,
% 4.56/4.76 (mult(mult(c, a), mult(b, a)) = mult(c, mult(mult(b, a), a))),
% 4.56/4.76 inference(unit_resolution,[status(thm)],[4536, 4535])).
% 4.56/4.76 tff(4538,plain,
% 4.56/4.76 (mult(c, mult(mult(b, a), a)) = mult(mult(c, a), mult(b, a))),
% 4.56/4.76 inference(symmetry,[status(thm)],[4537])).
% 4.56/4.76 tff(4539,plain,
% 4.56/4.76 (mult(mult(c, mult(b, a)), a) = mult(mult(mult(c, a), b), a)),
% 4.56/4.76 inference(monotonicity,[status(thm)],[3072])).
% 4.56/4.76 tff(4540,plain,
% 4.56/4.76 ((mult(mult(c, mult(b, a)), a) = mult(c, mult(mult(b, a), a))) <=> (mult(mult(mult(c, a), b), a) = mult(mult(c, a), mult(b, a)))),
% 4.56/4.76 inference(monotonicity,[status(thm)],[4539, 4538])).
% 4.56/4.76 tff(4541,plain,
% 4.56/4.76 ((mult(mult(mult(c, a), b), a) = mult(mult(c, a), mult(b, a))) <=> (mult(mult(c, mult(b, a)), a) = mult(c, mult(mult(b, a), a)))),
% 4.56/4.76 inference(symmetry,[status(thm)],[4540])).
% 4.56/4.76 tff(4542,plain,
% 4.56/4.76 ((~(mult(mult(mult(c, a), b), a) = mult(mult(c, a), mult(b, a)))) <=> (~(mult(mult(c, mult(b, a)), a) = mult(c, mult(mult(b, a), a))))),
% 4.56/4.77 inference(monotonicity,[status(thm)],[4541])).
% 4.56/4.77 tff(4543,plain,
% 4.56/4.77 (~(mult(mult(c, mult(b, a)), a) = mult(c, mult(mult(b, a), a)))),
% 4.56/4.77 inference(modus_ponens,[status(thm)],[4514, 4542])).
% 4.56/4.77 tff(4544,plain,
% 4.56/4.77 (((~(mult(mult(mult(mult(c, a), b), mult(b, a)), a) = mult(mult(mult(c, a), b), mult(a, mult(b, a))))) | (~(mult(mult(mult(mult(c, a), b), a), mult(b, a)) = mult(mult(mult(c, a), b), mult(mult(b, a), a))))) | (mult(mult(mult(mult(c, a), b), a), mult(b, a)) = mult(mult(mult(c, a), b), mult(mult(b, a), a)))),
% 4.56/4.77 inference(tautology,[status(thm)],[])).
% 4.56/4.77 tff(4545,plain,
% 4.56/4.77 (mult(mult(mult(mult(c, a), b), a), mult(b, a)) = mult(mult(mult(c, a), b), mult(mult(b, a), a))),
% 4.56/4.77 inference(unit_resolution,[status(thm)],[4544, 4361])).
% 4.56/4.77 tff(4546,assumption,(mult(mult(mult(a, b), a), mult(a, b)) = mult(mult(a, b), mult(mult(a, b), a))), introduced(assumption)).
% 4.56/4.77 tff(4547,plain,
% 4.56/4.77 (mult(c, mult(mult(mult(a, b), a), mult(a, b))) = mult(c, mult(mult(a, b), mult(mult(a, b), a)))),
% 4.56/4.77 inference(monotonicity,[status(thm)],[4546])).
% 4.56/4.77 tff(4548,plain,
% 4.56/4.77 (mult(c, mult(mult(a, b), mult(mult(a, b), a))) = mult(c, mult(mult(mult(a, b), a), mult(a, b)))),
% 4.56/4.77 inference(symmetry,[status(thm)],[4547])).
% 4.56/4.77 tff(4549,assumption,(mult(mult(c, mult(mult(a, b), a)), mult(a, b)) = mult(c, mult(mult(a, b), mult(mult(a, b), a)))), introduced(assumption)).
% 4.56/4.77 tff(4550,plain,
% 4.56/4.77 (mult(mult(c, mult(mult(a, b), a)), mult(a, b)) = mult(c, mult(mult(mult(a, b), a), mult(a, b)))),
% 4.56/4.77 inference(transitivity,[status(thm)],[4549, 4548])).
% 4.56/4.77 tff(4551,plain,
% 4.56/4.77 ($false),
% 4.56/4.77 inference(unit_resolution,[status(thm)],[4510, 4550])).
% 4.56/4.77 tff(4552,plain,((~(mult(mult(mult(a, b), a), mult(a, b)) = mult(mult(a, b), mult(mult(a, b), a)))) | (mult(mult(c, mult(mult(a, b), a)), mult(a, b)) = mult(c, mult(mult(mult(a, b), a), mult(a, b)))) | (~(mult(mult(c, mult(mult(a, b), a)), mult(a, b)) = mult(c, mult(mult(a, b), mult(mult(a, b), a)))))), inference(lemma,lemma(discharge,[]))).
% 4.56/4.77 tff(4553,plain,
% 4.56/4.77 (~(mult(mult(mult(a, b), a), mult(a, b)) = mult(mult(a, b), mult(mult(a, b), a)))),
% 4.56/4.77 inference(unit_resolution,[status(thm)],[4552, 4408, 4403])).
% 4.56/4.77 tff(4554,plain,
% 4.56/4.77 ((mult(mult(a, b), mult(mult(a, b), a)) = mult(mult(mult(a, b), a), mult(a, b))) <=> (mult(mult(mult(a, b), a), mult(a, b)) = mult(mult(a, b), mult(mult(a, b), a)))),
% 4.56/4.77 inference(commutativity,[status(thm)],[])).
% 4.56/4.77 tff(4555,plain,
% 4.56/4.77 ((mult(mult(mult(mult(a, b), a), b), a) = mult(mult(mult(a, b), a), mult(a, b))) <=> (mult(mult(a, b), mult(mult(a, b), a)) = mult(mult(mult(a, b), a), mult(a, b)))),
% 4.56/4.77 inference(monotonicity,[status(thm)],[4272])).
% 4.56/4.77 tff(4556,plain,
% 4.56/4.77 ((mult(mult(mult(mult(a, b), a), b), a) = mult(mult(mult(a, b), a), mult(a, b))) <=> (mult(mult(mult(a, b), a), mult(a, b)) = mult(mult(a, b), mult(mult(a, b), a)))),
% 4.56/4.77 inference(transitivity,[status(thm)],[4555, 4554])).
% 4.56/4.77 tff(4557,plain,
% 4.56/4.77 ((mult(mult(mult(a, b), a), mult(a, b)) = mult(mult(a, b), mult(mult(a, b), a))) <=> (mult(mult(mult(mult(a, b), a), b), a) = mult(mult(mult(a, b), a), mult(a, b)))),
% 4.56/4.77 inference(symmetry,[status(thm)],[4556])).
% 4.56/4.77 tff(4558,plain,
% 4.56/4.77 ((~(mult(mult(mult(a, b), a), mult(a, b)) = mult(mult(a, b), mult(mult(a, b), a)))) <=> (~(mult(mult(mult(mult(a, b), a), b), a) = mult(mult(mult(a, b), a), mult(a, b))))),
% 4.56/4.77 inference(monotonicity,[status(thm)],[4557])).
% 4.56/4.77 tff(4559,assumption,(~(mult(mult(mult(a, b), a), mult(a, b)) = mult(mult(a, b), mult(mult(a, b), a)))), introduced(assumption)).
% 4.56/4.77 tff(4560,plain,
% 4.56/4.77 (~(mult(mult(mult(mult(a, b), a), b), a) = mult(mult(mult(a, b), a), mult(a, b)))),
% 4.56/4.77 inference(modus_ponens,[status(thm)],[4559, 4558])).
% 4.56/4.77 tff(4561,plain,
% 4.56/4.77 (((~(mult(mult(mult(mult(a, b), a), a), b) = mult(mult(mult(a, b), a), mult(b, a)))) | (~(mult(mult(mult(mult(a, b), a), b), a) = mult(mult(mult(a, b), a), mult(a, b))))) | (mult(mult(mult(mult(a, b), a), b), a) = mult(mult(mult(a, b), a), mult(a, b)))),
% 4.56/4.77 inference(tautology,[status(thm)],[])).
% 4.56/4.77 tff(4562,plain,
% 4.56/4.77 ((~(mult(mult(mult(mult(a, b), a), a), b) = mult(mult(mult(a, b), a), mult(b, a)))) | (~(mult(mult(mult(mult(a, b), a), b), a) = mult(mult(mult(a, b), a), mult(a, b))))),
% 4.60/4.77 inference(unit_resolution,[status(thm)],[4561, 4560])).
% 4.60/4.77 tff(4563,plain,
% 4.60/4.77 (((~![X0: $i, X1: $i, X2: $i] : ((~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X2, X1)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X1, X2)))))) | (~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X1, X2)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X2, X1)))))))) | ((~((~(mult(mult(mult(mult(a, b), a), a), b) = mult(mult(mult(a, b), a), mult(a, b)))) | (~(mult(mult(mult(mult(a, b), a), b), a) = mult(mult(mult(a, b), a), mult(b, a)))))) | (~((~(mult(mult(mult(mult(a, b), a), a), b) = mult(mult(mult(a, b), a), mult(b, a)))) | (~(mult(mult(mult(mult(a, b), a), b), a) = mult(mult(mult(a, b), a), mult(a, b)))))))) <=> ((~![X0: $i, X1: $i, X2: $i] : ((~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X2, X1)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X1, X2)))))) | (~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X1, X2)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X2, X1)))))))) | (~((~(mult(mult(mult(mult(a, b), a), a), b) = mult(mult(mult(a, b), a), mult(a, b)))) | (~(mult(mult(mult(mult(a, b), a), b), a) = mult(mult(mult(a, b), a), mult(b, a)))))) | (~((~(mult(mult(mult(mult(a, b), a), a), b) = mult(mult(mult(a, b), a), mult(b, a)))) | (~(mult(mult(mult(mult(a, b), a), b), a) = mult(mult(mult(a, b), a), mult(a, b)))))))),
% 4.60/4.77 inference(rewrite,[status(thm)],[])).
% 4.60/4.77 tff(4564,plain,
% 4.60/4.77 (((~((~(mult(mult(mult(mult(a, b), a), a), b) = mult(mult(mult(a, b), a), mult(b, a)))) | (~(mult(mult(mult(mult(a, b), a), b), a) = mult(mult(mult(a, b), a), mult(a, b)))))) | (~((~(mult(mult(mult(mult(a, b), a), a), b) = mult(mult(mult(a, b), a), mult(a, b)))) | (~(mult(mult(mult(mult(a, b), a), b), a) = mult(mult(mult(a, b), a), mult(b, a))))))) <=> ((~((~(mult(mult(mult(mult(a, b), a), a), b) = mult(mult(mult(a, b), a), mult(a, b)))) | (~(mult(mult(mult(mult(a, b), a), b), a) = mult(mult(mult(a, b), a), mult(b, a)))))) | (~((~(mult(mult(mult(mult(a, b), a), a), b) = mult(mult(mult(a, b), a), mult(b, a)))) | (~(mult(mult(mult(mult(a, b), a), b), a) = mult(mult(mult(a, b), a), mult(a, b)))))))),
% 4.60/4.77 inference(rewrite,[status(thm)],[])).
% 4.60/4.77 tff(4565,plain,
% 4.60/4.77 (((~![X0: $i, X1: $i, X2: $i] : ((~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X2, X1)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X1, X2)))))) | (~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X1, X2)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X2, X1)))))))) | ((~((~(mult(mult(mult(mult(a, b), a), a), b) = mult(mult(mult(a, b), a), mult(b, a)))) | (~(mult(mult(mult(mult(a, b), a), b), a) = mult(mult(mult(a, b), a), mult(a, b)))))) | (~((~(mult(mult(mult(mult(a, b), a), a), b) = mult(mult(mult(a, b), a), mult(a, b)))) | (~(mult(mult(mult(mult(a, b), a), b), a) = mult(mult(mult(a, b), a), mult(b, a)))))))) <=> ((~![X0: $i, X1: $i, X2: $i] : ((~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X2, X1)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X1, X2)))))) | (~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X1, X2)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X2, X1)))))))) | ((~((~(mult(mult(mult(mult(a, b), a), a), b) = mult(mult(mult(a, b), a), mult(a, b)))) | (~(mult(mult(mult(mult(a, b), a), b), a) = mult(mult(mult(a, b), a), mult(b, a)))))) | (~((~(mult(mult(mult(mult(a, b), a), a), b) = mult(mult(mult(a, b), a), mult(b, a)))) | (~(mult(mult(mult(mult(a, b), a), b), a) = mult(mult(mult(a, b), a), mult(a, b))))))))),
% 4.60/4.77 inference(monotonicity,[status(thm)],[4564])).
% 4.60/4.77 tff(4566,plain,
% 4.60/4.77 (((~![X0: $i, X1: $i, X2: $i] : ((~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X2, X1)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X1, X2)))))) | (~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X1, X2)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X2, X1)))))))) | ((~((~(mult(mult(mult(mult(a, b), a), a), b) = mult(mult(mult(a, b), a), mult(b, a)))) | (~(mult(mult(mult(mult(a, b), a), b), a) = mult(mult(mult(a, b), a), mult(a, b)))))) | (~((~(mult(mult(mult(mult(a, b), a), a), b) = mult(mult(mult(a, b), a), mult(a, b)))) | (~(mult(mult(mult(mult(a, b), a), b), a) = mult(mult(mult(a, b), a), mult(b, a)))))))) <=> ((~![X0: $i, X1: $i, X2: $i] : ((~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X2, X1)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X1, X2)))))) | (~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X1, X2)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X2, X1)))))))) | (~((~(mult(mult(mult(mult(a, b), a), a), b) = mult(mult(mult(a, b), a), mult(a, b)))) | (~(mult(mult(mult(mult(a, b), a), b), a) = mult(mult(mult(a, b), a), mult(b, a)))))) | (~((~(mult(mult(mult(mult(a, b), a), a), b) = mult(mult(mult(a, b), a), mult(b, a)))) | (~(mult(mult(mult(mult(a, b), a), b), a) = mult(mult(mult(a, b), a), mult(a, b)))))))),
% 4.60/4.77 inference(transitivity,[status(thm)],[4565, 4563])).
% 4.60/4.77 tff(4567,plain,
% 4.60/4.77 ((~![X0: $i, X1: $i, X2: $i] : ((~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X2, X1)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X1, X2)))))) | (~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X1, X2)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X2, X1)))))))) | ((~((~(mult(mult(mult(mult(a, b), a), a), b) = mult(mult(mult(a, b), a), mult(b, a)))) | (~(mult(mult(mult(mult(a, b), a), b), a) = mult(mult(mult(a, b), a), mult(a, b)))))) | (~((~(mult(mult(mult(mult(a, b), a), a), b) = mult(mult(mult(a, b), a), mult(a, b)))) | (~(mult(mult(mult(mult(a, b), a), b), a) = mult(mult(mult(a, b), a), mult(b, a)))))))),
% 4.60/4.77 inference(quant_inst,[status(thm)],[])).
% 4.60/4.77 tff(4568,plain,
% 4.60/4.77 ((~![X0: $i, X1: $i, X2: $i] : ((~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X2, X1)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X1, X2)))))) | (~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X1, X2)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X2, X1)))))))) | (~((~(mult(mult(mult(mult(a, b), a), a), b) = mult(mult(mult(a, b), a), mult(a, b)))) | (~(mult(mult(mult(mult(a, b), a), b), a) = mult(mult(mult(a, b), a), mult(b, a)))))) | (~((~(mult(mult(mult(mult(a, b), a), a), b) = mult(mult(mult(a, b), a), mult(b, a)))) | (~(mult(mult(mult(mult(a, b), a), b), a) = mult(mult(mult(a, b), a), mult(a, b))))))),
% 4.60/4.77 inference(modus_ponens,[status(thm)],[4567, 4566])).
% 4.60/4.77 tff(4569,plain,
% 4.60/4.77 ((~((~(mult(mult(mult(mult(a, b), a), a), b) = mult(mult(mult(a, b), a), mult(a, b)))) | (~(mult(mult(mult(mult(a, b), a), b), a) = mult(mult(mult(a, b), a), mult(b, a)))))) | (~((~(mult(mult(mult(mult(a, b), a), a), b) = mult(mult(mult(a, b), a), mult(b, a)))) | (~(mult(mult(mult(mult(a, b), a), b), a) = mult(mult(mult(a, b), a), mult(a, b))))))),
% 4.60/4.77 inference(unit_resolution,[status(thm)],[4568, 30])).
% 4.60/4.77 tff(4570,plain,
% 4.60/4.77 (~((~(mult(mult(mult(mult(a, b), a), a), b) = mult(mult(mult(a, b), a), mult(a, b)))) | (~(mult(mult(mult(mult(a, b), a), b), a) = mult(mult(mult(a, b), a), mult(b, a)))))),
% 4.60/4.77 inference(unit_resolution,[status(thm)],[4569, 4562])).
% 4.60/4.77 tff(4571,plain,
% 4.60/4.77 (((~(mult(mult(mult(mult(a, b), a), a), b) = mult(mult(mult(a, b), a), mult(a, b)))) | (~(mult(mult(mult(mult(a, b), a), b), a) = mult(mult(mult(a, b), a), mult(b, a))))) | (mult(mult(mult(mult(a, b), a), b), a) = mult(mult(mult(a, b), a), mult(b, a)))),
% 4.60/4.77 inference(tautology,[status(thm)],[])).
% 4.60/4.77 tff(4572,plain,
% 4.60/4.77 (mult(mult(mult(mult(a, b), a), b), a) = mult(mult(mult(a, b), a), mult(b, a))),
% 4.60/4.77 inference(unit_resolution,[status(thm)],[4571, 4570])).
% 4.60/4.77 tff(4573,plain,
% 4.60/4.77 (mult(mult(mult(a, b), a), mult(b, a)) = mult(mult(mult(mult(a, b), a), b), a)),
% 4.60/4.77 inference(symmetry,[status(thm)],[4572])).
% 4.60/4.77 tff(4574,plain,
% 4.60/4.77 (mult(mult(mult(a, b), a), mult(b, a)) = mult(mult(a, mult(b, a)), mult(b, a))),
% 4.60/4.77 inference(monotonicity,[status(thm)],[4193])).
% 4.60/4.77 tff(4575,plain,
% 4.60/4.77 (mult(mult(a, mult(b, a)), mult(b, a)) = mult(mult(mult(a, b), a), mult(b, a))),
% 4.60/4.77 inference(symmetry,[status(thm)],[4574])).
% 4.60/4.77 tff(4576,plain,
% 4.60/4.77 (((~![X0: $i, X1: $i, X2: $i] : ((~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X2, X1)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X1, X2)))))) | (~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X1, X2)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X2, X1)))))))) | (mult(mult(a, mult(b, a)), mult(b, a)) = mult(a, mult(mult(b, a), mult(b, a))))) <=> ((~![X0: $i, X1: $i, X2: $i] : ((~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X2, X1)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X1, X2)))))) | (~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X1, X2)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X2, X1)))))))) | (mult(mult(a, mult(b, a)), mult(b, a)) = mult(a, mult(mult(b, a), mult(b, a)))))),
% 4.60/4.77 inference(rewrite,[status(thm)],[])).
% 4.60/4.77 tff(4577,plain,
% 4.60/4.77 (((mult(mult(a, mult(b, a)), mult(b, a)) = mult(a, mult(mult(b, a), mult(b, a)))) | (mult(mult(a, mult(b, a)), mult(b, a)) = mult(a, mult(mult(b, a), mult(b, a))))) <=> (mult(mult(a, mult(b, a)), mult(b, a)) = mult(a, mult(mult(b, a), mult(b, a))))),
% 4.60/4.77 inference(rewrite,[status(thm)],[])).
% 4.60/4.77 tff(4578,plain,
% 4.60/4.77 ((~(~(mult(mult(a, mult(b, a)), mult(b, a)) = mult(a, mult(mult(b, a), mult(b, a)))))) <=> (mult(mult(a, mult(b, a)), mult(b, a)) = mult(a, mult(mult(b, a), mult(b, a))))),
% 4.60/4.77 inference(rewrite,[status(thm)],[])).
% 4.60/4.77 tff(4579,plain,
% 4.60/4.77 (((~(mult(mult(a, mult(b, a)), mult(b, a)) = mult(a, mult(mult(b, a), mult(b, a))))) | (~(mult(mult(a, mult(b, a)), mult(b, a)) = mult(a, mult(mult(b, a), mult(b, a)))))) <=> (~(mult(mult(a, mult(b, a)), mult(b, a)) = mult(a, mult(mult(b, a), mult(b, a)))))),
% 4.60/4.77 inference(rewrite,[status(thm)],[])).
% 4.60/4.77 tff(4580,plain,
% 4.60/4.77 ((~((~(mult(mult(a, mult(b, a)), mult(b, a)) = mult(a, mult(mult(b, a), mult(b, a))))) | (~(mult(mult(a, mult(b, a)), mult(b, a)) = mult(a, mult(mult(b, a), mult(b, a))))))) <=> (~(~(mult(mult(a, mult(b, a)), mult(b, a)) = mult(a, mult(mult(b, a), mult(b, a))))))),
% 4.60/4.77 inference(monotonicity,[status(thm)],[4579])).
% 4.60/4.77 tff(4581,plain,
% 4.60/4.77 ((~((~(mult(mult(a, mult(b, a)), mult(b, a)) = mult(a, mult(mult(b, a), mult(b, a))))) | (~(mult(mult(a, mult(b, a)), mult(b, a)) = mult(a, mult(mult(b, a), mult(b, a))))))) <=> (mult(mult(a, mult(b, a)), mult(b, a)) = mult(a, mult(mult(b, a), mult(b, a))))),
% 4.60/4.77 inference(transitivity,[status(thm)],[4580, 4578])).
% 4.60/4.77 tff(4582,plain,
% 4.60/4.77 (((~((~(mult(mult(a, mult(b, a)), mult(b, a)) = mult(a, mult(mult(b, a), mult(b, a))))) | (~(mult(mult(a, mult(b, a)), mult(b, a)) = mult(a, mult(mult(b, a), mult(b, a))))))) | (~((~(mult(mult(a, mult(b, a)), mult(b, a)) = mult(a, mult(mult(b, a), mult(b, a))))) | (~(mult(mult(a, mult(b, a)), mult(b, a)) = mult(a, mult(mult(b, a), mult(b, a)))))))) <=> ((mult(mult(a, mult(b, a)), mult(b, a)) = mult(a, mult(mult(b, a), mult(b, a)))) | (mult(mult(a, mult(b, a)), mult(b, a)) = mult(a, mult(mult(b, a), mult(b, a)))))),
% 4.60/4.77 inference(monotonicity,[status(thm)],[4581, 4581])).
% 4.60/4.77 tff(4583,plain,
% 4.60/4.77 (((~((~(mult(mult(a, mult(b, a)), mult(b, a)) = mult(a, mult(mult(b, a), mult(b, a))))) | (~(mult(mult(a, mult(b, a)), mult(b, a)) = mult(a, mult(mult(b, a), mult(b, a))))))) | (~((~(mult(mult(a, mult(b, a)), mult(b, a)) = mult(a, mult(mult(b, a), mult(b, a))))) | (~(mult(mult(a, mult(b, a)), mult(b, a)) = mult(a, mult(mult(b, a), mult(b, a)))))))) <=> (mult(mult(a, mult(b, a)), mult(b, a)) = mult(a, mult(mult(b, a), mult(b, a))))),
% 4.60/4.77 inference(transitivity,[status(thm)],[4582, 4577])).
% 4.60/4.77 tff(4584,plain,
% 4.60/4.77 (((~![X0: $i, X1: $i, X2: $i] : ((~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X2, X1)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X1, X2)))))) | (~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X1, X2)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X2, X1)))))))) | ((~((~(mult(mult(a, mult(b, a)), mult(b, a)) = mult(a, mult(mult(b, a), mult(b, a))))) | (~(mult(mult(a, mult(b, a)), mult(b, a)) = mult(a, mult(mult(b, a), mult(b, a))))))) | (~((~(mult(mult(a, mult(b, a)), mult(b, a)) = mult(a, mult(mult(b, a), mult(b, a))))) | (~(mult(mult(a, mult(b, a)), mult(b, a)) = mult(a, mult(mult(b, a), mult(b, a))))))))) <=> ((~![X0: $i, X1: $i, X2: $i] : ((~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X2, X1)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X1, X2)))))) | (~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X1, X2)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X2, X1)))))))) | (mult(mult(a, mult(b, a)), mult(b, a)) = mult(a, mult(mult(b, a), mult(b, a)))))),
% 4.60/4.77 inference(monotonicity,[status(thm)],[4583])).
% 4.60/4.77 tff(4585,plain,
% 4.60/4.77 (((~![X0: $i, X1: $i, X2: $i] : ((~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X2, X1)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X1, X2)))))) | (~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X1, X2)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X2, X1)))))))) | ((~((~(mult(mult(a, mult(b, a)), mult(b, a)) = mult(a, mult(mult(b, a), mult(b, a))))) | (~(mult(mult(a, mult(b, a)), mult(b, a)) = mult(a, mult(mult(b, a), mult(b, a))))))) | (~((~(mult(mult(a, mult(b, a)), mult(b, a)) = mult(a, mult(mult(b, a), mult(b, a))))) | (~(mult(mult(a, mult(b, a)), mult(b, a)) = mult(a, mult(mult(b, a), mult(b, a))))))))) <=> ((~![X0: $i, X1: $i, X2: $i] : ((~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X2, X1)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X1, X2)))))) | (~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X1, X2)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X2, X1)))))))) | (mult(mult(a, mult(b, a)), mult(b, a)) = mult(a, mult(mult(b, a), mult(b, a)))))),
% 4.60/4.77 inference(transitivity,[status(thm)],[4584, 4576])).
% 4.60/4.77 tff(4586,plain,
% 4.60/4.77 ((~![X0: $i, X1: $i, X2: $i] : ((~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X2, X1)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X1, X2)))))) | (~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X1, X2)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X2, X1)))))))) | ((~((~(mult(mult(a, mult(b, a)), mult(b, a)) = mult(a, mult(mult(b, a), mult(b, a))))) | (~(mult(mult(a, mult(b, a)), mult(b, a)) = mult(a, mult(mult(b, a), mult(b, a))))))) | (~((~(mult(mult(a, mult(b, a)), mult(b, a)) = mult(a, mult(mult(b, a), mult(b, a))))) | (~(mult(mult(a, mult(b, a)), mult(b, a)) = mult(a, mult(mult(b, a), mult(b, a))))))))),
% 4.60/4.77 inference(quant_inst,[status(thm)],[])).
% 4.60/4.77 tff(4587,plain,
% 4.60/4.77 ((~![X0: $i, X1: $i, X2: $i] : ((~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X2, X1)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X1, X2)))))) | (~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X1, X2)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X2, X1)))))))) | (mult(mult(a, mult(b, a)), mult(b, a)) = mult(a, mult(mult(b, a), mult(b, a))))),
% 4.60/4.77 inference(modus_ponens,[status(thm)],[4586, 4585])).
% 4.60/4.77 tff(4588,plain,
% 4.60/4.77 (mult(mult(a, mult(b, a)), mult(b, a)) = mult(a, mult(mult(b, a), mult(b, a)))),
% 4.60/4.77 inference(unit_resolution,[status(thm)],[4587, 30])).
% 4.60/4.77 tff(4589,plain,
% 4.60/4.77 (mult(a, mult(mult(b, a), mult(b, a))) = mult(mult(a, mult(b, a)), mult(b, a))),
% 4.60/4.77 inference(symmetry,[status(thm)],[4588])).
% 4.60/4.77 tff(4590,plain,
% 4.60/4.77 (((~![X0: $i, X1: $i, X2: $i] : ((~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X2, X1)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X1, X2)))))) | (~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X1, X2)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X2, X1)))))))) | (mult(mult(b, a), a) = mult(b, mult(a, a)))) <=> ((~![X0: $i, X1: $i, X2: $i] : ((~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X2, X1)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X1, X2)))))) | (~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X1, X2)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X2, X1)))))))) | (mult(mult(b, a), a) = mult(b, mult(a, a))))),
% 4.60/4.77 inference(rewrite,[status(thm)],[])).
% 4.60/4.77 tff(4591,plain,
% 4.60/4.77 (((mult(mult(b, a), a) = mult(b, mult(a, a))) | (mult(mult(b, a), a) = mult(b, mult(a, a)))) <=> (mult(mult(b, a), a) = mult(b, mult(a, a)))),
% 4.60/4.77 inference(rewrite,[status(thm)],[])).
% 4.60/4.77 tff(4592,plain,
% 4.60/4.77 ((~(~(mult(mult(b, a), a) = mult(b, mult(a, a))))) <=> (mult(mult(b, a), a) = mult(b, mult(a, a)))),
% 4.60/4.77 inference(rewrite,[status(thm)],[])).
% 4.60/4.77 tff(4593,plain,
% 4.60/4.77 (((~(mult(mult(b, a), a) = mult(b, mult(a, a)))) | (~(mult(mult(b, a), a) = mult(b, mult(a, a))))) <=> (~(mult(mult(b, a), a) = mult(b, mult(a, a))))),
% 4.60/4.77 inference(rewrite,[status(thm)],[])).
% 4.60/4.77 tff(4594,plain,
% 4.60/4.77 ((~((~(mult(mult(b, a), a) = mult(b, mult(a, a)))) | (~(mult(mult(b, a), a) = mult(b, mult(a, a)))))) <=> (~(~(mult(mult(b, a), a) = mult(b, mult(a, a)))))),
% 4.60/4.77 inference(monotonicity,[status(thm)],[4593])).
% 4.60/4.77 tff(4595,plain,
% 4.60/4.77 ((~((~(mult(mult(b, a), a) = mult(b, mult(a, a)))) | (~(mult(mult(b, a), a) = mult(b, mult(a, a)))))) <=> (mult(mult(b, a), a) = mult(b, mult(a, a)))),
% 4.60/4.77 inference(transitivity,[status(thm)],[4594, 4592])).
% 4.60/4.78 tff(4596,plain,
% 4.60/4.78 (((~((~(mult(mult(b, a), a) = mult(b, mult(a, a)))) | (~(mult(mult(b, a), a) = mult(b, mult(a, a)))))) | (~((~(mult(mult(b, a), a) = mult(b, mult(a, a)))) | (~(mult(mult(b, a), a) = mult(b, mult(a, a))))))) <=> ((mult(mult(b, a), a) = mult(b, mult(a, a))) | (mult(mult(b, a), a) = mult(b, mult(a, a))))),
% 4.60/4.78 inference(monotonicity,[status(thm)],[4595, 4595])).
% 4.60/4.78 tff(4597,plain,
% 4.60/4.78 (((~((~(mult(mult(b, a), a) = mult(b, mult(a, a)))) | (~(mult(mult(b, a), a) = mult(b, mult(a, a)))))) | (~((~(mult(mult(b, a), a) = mult(b, mult(a, a)))) | (~(mult(mult(b, a), a) = mult(b, mult(a, a))))))) <=> (mult(mult(b, a), a) = mult(b, mult(a, a)))),
% 4.60/4.78 inference(transitivity,[status(thm)],[4596, 4591])).
% 4.60/4.78 tff(4598,plain,
% 4.60/4.78 (((~![X0: $i, X1: $i, X2: $i] : ((~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X2, X1)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X1, X2)))))) | (~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X1, X2)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X2, X1)))))))) | ((~((~(mult(mult(b, a), a) = mult(b, mult(a, a)))) | (~(mult(mult(b, a), a) = mult(b, mult(a, a)))))) | (~((~(mult(mult(b, a), a) = mult(b, mult(a, a)))) | (~(mult(mult(b, a), a) = mult(b, mult(a, a)))))))) <=> ((~![X0: $i, X1: $i, X2: $i] : ((~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X2, X1)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X1, X2)))))) | (~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X1, X2)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X2, X1)))))))) | (mult(mult(b, a), a) = mult(b, mult(a, a))))),
% 4.60/4.78 inference(monotonicity,[status(thm)],[4597])).
% 4.60/4.78 tff(4599,plain,
% 4.60/4.78 (((~![X0: $i, X1: $i, X2: $i] : ((~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X2, X1)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X1, X2)))))) | (~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X1, X2)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X2, X1)))))))) | ((~((~(mult(mult(b, a), a) = mult(b, mult(a, a)))) | (~(mult(mult(b, a), a) = mult(b, mult(a, a)))))) | (~((~(mult(mult(b, a), a) = mult(b, mult(a, a)))) | (~(mult(mult(b, a), a) = mult(b, mult(a, a)))))))) <=> ((~![X0: $i, X1: $i, X2: $i] : ((~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X2, X1)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X1, X2)))))) | (~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X1, X2)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X2, X1)))))))) | (mult(mult(b, a), a) = mult(b, mult(a, a))))),
% 4.60/4.78 inference(transitivity,[status(thm)],[4598, 4590])).
% 4.60/4.78 tff(4600,plain,
% 4.60/4.78 ((~![X0: $i, X1: $i, X2: $i] : ((~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X2, X1)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X1, X2)))))) | (~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X1, X2)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X2, X1)))))))) | ((~((~(mult(mult(b, a), a) = mult(b, mult(a, a)))) | (~(mult(mult(b, a), a) = mult(b, mult(a, a)))))) | (~((~(mult(mult(b, a), a) = mult(b, mult(a, a)))) | (~(mult(mult(b, a), a) = mult(b, mult(a, a)))))))),
% 4.60/4.78 inference(quant_inst,[status(thm)],[])).
% 4.60/4.78 tff(4601,plain,
% 4.60/4.78 ((~![X0: $i, X1: $i, X2: $i] : ((~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X2, X1)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X1, X2)))))) | (~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X1, X2)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X2, X1)))))))) | (mult(mult(b, a), a) = mult(b, mult(a, a)))),
% 4.60/4.78 inference(modus_ponens,[status(thm)],[4600, 4599])).
% 4.60/4.78 tff(4602,plain,
% 4.60/4.78 (mult(mult(b, a), a) = mult(b, mult(a, a))),
% 4.60/4.78 inference(unit_resolution,[status(thm)],[4601, 30])).
% 4.60/4.78 tff(4603,plain,
% 4.60/4.78 (mult(mult(mult(b, a), a), b) = mult(mult(b, mult(a, a)), b)),
% 4.60/4.78 inference(monotonicity,[status(thm)],[4602])).
% 4.60/4.78 tff(4604,assumption,(mult(mult(mult(b, a), a), b) = mult(mult(b, a), mult(b, a))), introduced(assumption)).
% 4.60/4.78 tff(4605,plain,
% 4.60/4.78 (mult(mult(b, a), mult(b, a)) = mult(mult(mult(b, a), a), b)),
% 4.60/4.78 inference(symmetry,[status(thm)],[4604])).
% 4.60/4.78 tff(4606,plain,
% 4.60/4.78 (mult(mult(b, a), mult(b, a)) = mult(mult(b, mult(a, a)), b)),
% 4.60/4.78 inference(transitivity,[status(thm)],[4605, 4603])).
% 4.60/4.78 tff(4607,plain,
% 4.60/4.78 (mult(a, mult(mult(b, a), mult(b, a))) = mult(a, mult(mult(b, mult(a, a)), b))),
% 4.60/4.78 inference(monotonicity,[status(thm)],[4606])).
% 4.60/4.78 tff(4608,plain,
% 4.60/4.78 (mult(a, mult(mult(b, mult(a, a)), b)) = mult(a, mult(mult(b, a), mult(b, a)))),
% 4.60/4.78 inference(symmetry,[status(thm)],[4607])).
% 4.60/4.78 tff(4609,plain,
% 4.60/4.78 ((~![C: $i, B: $i, A: $i] : (mult(mult(mult(A, B), C), B) = mult(A, mult(mult(B, C), B)))) | (mult(mult(mult(a, b), mult(a, a)), b) = mult(a, mult(mult(b, mult(a, a)), b)))),
% 4.60/4.78 inference(quant_inst,[status(thm)],[])).
% 4.60/4.78 tff(4610,plain,
% 4.60/4.78 (mult(mult(mult(a, b), mult(a, a)), b) = mult(a, mult(mult(b, mult(a, a)), b))),
% 4.60/4.78 inference(unit_resolution,[status(thm)],[4609, 860])).
% 4.60/4.78 tff(4611,plain,
% 4.60/4.78 (((~![X0: $i, X1: $i, X2: $i] : ((~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X2, X1)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X1, X2)))))) | (~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X1, X2)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X2, X1)))))))) | (mult(mult(mult(a, b), a), a) = mult(mult(a, b), mult(a, a)))) <=> ((~![X0: $i, X1: $i, X2: $i] : ((~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X2, X1)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X1, X2)))))) | (~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X1, X2)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X2, X1)))))))) | (mult(mult(mult(a, b), a), a) = mult(mult(a, b), mult(a, a))))),
% 4.60/4.78 inference(rewrite,[status(thm)],[])).
% 4.60/4.78 tff(4612,plain,
% 4.60/4.78 (((mult(mult(mult(a, b), a), a) = mult(mult(a, b), mult(a, a))) | (mult(mult(mult(a, b), a), a) = mult(mult(a, b), mult(a, a)))) <=> (mult(mult(mult(a, b), a), a) = mult(mult(a, b), mult(a, a)))),
% 4.60/4.78 inference(rewrite,[status(thm)],[])).
% 4.60/4.78 tff(4613,plain,
% 4.60/4.78 ((~(~(mult(mult(mult(a, b), a), a) = mult(mult(a, b), mult(a, a))))) <=> (mult(mult(mult(a, b), a), a) = mult(mult(a, b), mult(a, a)))),
% 4.60/4.78 inference(rewrite,[status(thm)],[])).
% 4.60/4.78 tff(4614,plain,
% 4.60/4.78 (((~(mult(mult(mult(a, b), a), a) = mult(mult(a, b), mult(a, a)))) | (~(mult(mult(mult(a, b), a), a) = mult(mult(a, b), mult(a, a))))) <=> (~(mult(mult(mult(a, b), a), a) = mult(mult(a, b), mult(a, a))))),
% 4.60/4.78 inference(rewrite,[status(thm)],[])).
% 4.60/4.78 tff(4615,plain,
% 4.60/4.78 ((~((~(mult(mult(mult(a, b), a), a) = mult(mult(a, b), mult(a, a)))) | (~(mult(mult(mult(a, b), a), a) = mult(mult(a, b), mult(a, a)))))) <=> (~(~(mult(mult(mult(a, b), a), a) = mult(mult(a, b), mult(a, a)))))),
% 4.60/4.78 inference(monotonicity,[status(thm)],[4614])).
% 4.60/4.78 tff(4616,plain,
% 4.60/4.78 ((~((~(mult(mult(mult(a, b), a), a) = mult(mult(a, b), mult(a, a)))) | (~(mult(mult(mult(a, b), a), a) = mult(mult(a, b), mult(a, a)))))) <=> (mult(mult(mult(a, b), a), a) = mult(mult(a, b), mult(a, a)))),
% 4.60/4.78 inference(transitivity,[status(thm)],[4615, 4613])).
% 4.60/4.78 tff(4617,plain,
% 4.60/4.78 (((~((~(mult(mult(mult(a, b), a), a) = mult(mult(a, b), mult(a, a)))) | (~(mult(mult(mult(a, b), a), a) = mult(mult(a, b), mult(a, a)))))) | (~((~(mult(mult(mult(a, b), a), a) = mult(mult(a, b), mult(a, a)))) | (~(mult(mult(mult(a, b), a), a) = mult(mult(a, b), mult(a, a))))))) <=> ((mult(mult(mult(a, b), a), a) = mult(mult(a, b), mult(a, a))) | (mult(mult(mult(a, b), a), a) = mult(mult(a, b), mult(a, a))))),
% 4.60/4.78 inference(monotonicity,[status(thm)],[4616, 4616])).
% 4.60/4.78 tff(4618,plain,
% 4.60/4.78 (((~((~(mult(mult(mult(a, b), a), a) = mult(mult(a, b), mult(a, a)))) | (~(mult(mult(mult(a, b), a), a) = mult(mult(a, b), mult(a, a)))))) | (~((~(mult(mult(mult(a, b), a), a) = mult(mult(a, b), mult(a, a)))) | (~(mult(mult(mult(a, b), a), a) = mult(mult(a, b), mult(a, a))))))) <=> (mult(mult(mult(a, b), a), a) = mult(mult(a, b), mult(a, a)))),
% 4.60/4.78 inference(transitivity,[status(thm)],[4617, 4612])).
% 4.60/4.78 tff(4619,plain,
% 4.60/4.78 (((~![X0: $i, X1: $i, X2: $i] : ((~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X2, X1)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X1, X2)))))) | (~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X1, X2)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X2, X1)))))))) | ((~((~(mult(mult(mult(a, b), a), a) = mult(mult(a, b), mult(a, a)))) | (~(mult(mult(mult(a, b), a), a) = mult(mult(a, b), mult(a, a)))))) | (~((~(mult(mult(mult(a, b), a), a) = mult(mult(a, b), mult(a, a)))) | (~(mult(mult(mult(a, b), a), a) = mult(mult(a, b), mult(a, a)))))))) <=> ((~![X0: $i, X1: $i, X2: $i] : ((~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X2, X1)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X1, X2)))))) | (~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X1, X2)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X2, X1)))))))) | (mult(mult(mult(a, b), a), a) = mult(mult(a, b), mult(a, a))))),
% 4.60/4.78 inference(monotonicity,[status(thm)],[4618])).
% 4.60/4.78 tff(4620,plain,
% 4.60/4.78 (((~![X0: $i, X1: $i, X2: $i] : ((~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X2, X1)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X1, X2)))))) | (~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X1, X2)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X2, X1)))))))) | ((~((~(mult(mult(mult(a, b), a), a) = mult(mult(a, b), mult(a, a)))) | (~(mult(mult(mult(a, b), a), a) = mult(mult(a, b), mult(a, a)))))) | (~((~(mult(mult(mult(a, b), a), a) = mult(mult(a, b), mult(a, a)))) | (~(mult(mult(mult(a, b), a), a) = mult(mult(a, b), mult(a, a)))))))) <=> ((~![X0: $i, X1: $i, X2: $i] : ((~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X2, X1)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X1, X2)))))) | (~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X1, X2)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X2, X1)))))))) | (mult(mult(mult(a, b), a), a) = mult(mult(a, b), mult(a, a))))),
% 4.60/4.78 inference(transitivity,[status(thm)],[4619, 4611])).
% 4.60/4.78 tff(4621,plain,
% 4.60/4.78 ((~![X0: $i, X1: $i, X2: $i] : ((~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X2, X1)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X1, X2)))))) | (~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X1, X2)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X2, X1)))))))) | ((~((~(mult(mult(mult(a, b), a), a) = mult(mult(a, b), mult(a, a)))) | (~(mult(mult(mult(a, b), a), a) = mult(mult(a, b), mult(a, a)))))) | (~((~(mult(mult(mult(a, b), a), a) = mult(mult(a, b), mult(a, a)))) | (~(mult(mult(mult(a, b), a), a) = mult(mult(a, b), mult(a, a)))))))),
% 4.60/4.78 inference(quant_inst,[status(thm)],[])).
% 4.60/4.78 tff(4622,plain,
% 4.60/4.78 ((~![X0: $i, X1: $i, X2: $i] : ((~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X2, X1)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X1, X2)))))) | (~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X1, X2)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X2, X1)))))))) | (mult(mult(mult(a, b), a), a) = mult(mult(a, b), mult(a, a)))),
% 4.60/4.78 inference(modus_ponens,[status(thm)],[4621, 4620])).
% 4.60/4.78 tff(4623,plain,
% 4.60/4.78 (mult(mult(mult(a, b), a), a) = mult(mult(a, b), mult(a, a))),
% 4.60/4.78 inference(unit_resolution,[status(thm)],[4622, 30])).
% 4.60/4.78 tff(4624,plain,
% 4.60/4.78 (mult(mult(a, b), mult(a, a)) = mult(mult(mult(a, b), a), a)),
% 4.60/4.78 inference(symmetry,[status(thm)],[4623])).
% 4.60/4.78 tff(4625,plain,
% 4.60/4.78 (mult(mult(mult(a, b), mult(a, a)), b) = mult(mult(mult(mult(a, b), a), a), b)),
% 4.60/4.78 inference(monotonicity,[status(thm)],[4624])).
% 4.60/4.78 tff(4626,plain,
% 4.60/4.78 (mult(mult(mult(mult(a, b), a), a), b) = mult(mult(mult(a, b), mult(a, a)), b)),
% 4.60/4.78 inference(symmetry,[status(thm)],[4625])).
% 4.60/4.78 tff(4627,plain,
% 4.60/4.78 (((~(mult(mult(mult(mult(a, b), a), a), b) = mult(mult(mult(a, b), a), mult(a, b)))) | (~(mult(mult(mult(mult(a, b), a), b), a) = mult(mult(mult(a, b), a), mult(b, a))))) | (mult(mult(mult(mult(a, b), a), a), b) = mult(mult(mult(a, b), a), mult(a, b)))),
% 4.60/4.78 inference(tautology,[status(thm)],[])).
% 4.60/4.78 tff(4628,plain,
% 4.60/4.78 (mult(mult(mult(mult(a, b), a), a), b) = mult(mult(mult(a, b), a), mult(a, b))),
% 4.60/4.78 inference(unit_resolution,[status(thm)],[4627, 4570])).
% 4.60/4.78 tff(4629,plain,
% 4.60/4.78 (mult(mult(mult(a, b), a), mult(a, b)) = mult(mult(mult(mult(a, b), a), a), b)),
% 4.60/4.78 inference(symmetry,[status(thm)],[4628])).
% 4.60/4.78 tff(4630,plain,
% 4.60/4.78 (mult(mult(mult(a, b), a), mult(a, b)) = mult(mult(a, b), mult(mult(a, b), a))),
% 4.60/4.78 inference(transitivity,[status(thm)],[4629, 4626, 4610, 4608, 4589, 4575, 4573, 4272])).
% 4.60/4.78 tff(4631,plain,
% 4.60/4.78 ($false),
% 4.60/4.78 inference(unit_resolution,[status(thm)],[4559, 4630])).
% 4.60/4.78 tff(4632,plain,((~(mult(mult(mult(b, a), a), b) = mult(mult(b, a), mult(b, a)))) | (mult(mult(mult(a, b), a), mult(a, b)) = mult(mult(a, b), mult(mult(a, b), a)))), inference(lemma,lemma(discharge,[]))).
% 4.60/4.78 tff(4633,plain,
% 4.60/4.78 (~(mult(mult(mult(b, a), a), b) = mult(mult(b, a), mult(b, a)))),
% 4.60/4.78 inference(unit_resolution,[status(thm)],[4632, 4553])).
% 4.60/4.78 tff(4634,plain,
% 4.60/4.78 (((~(mult(mult(mult(b, a), a), b) = mult(mult(b, a), mult(b, a)))) | (~(mult(mult(mult(b, a), b), a) = mult(mult(b, a), mult(a, b))))) | (mult(mult(mult(b, a), a), b) = mult(mult(b, a), mult(b, a)))),
% 4.60/4.78 inference(tautology,[status(thm)],[])).
% 4.60/4.78 tff(4635,plain,
% 4.60/4.78 ((~(mult(mult(mult(b, a), a), b) = mult(mult(b, a), mult(b, a)))) | (~(mult(mult(mult(b, a), b), a) = mult(mult(b, a), mult(a, b))))),
% 4.60/4.78 inference(unit_resolution,[status(thm)],[4634, 4633])).
% 4.60/4.78 tff(4636,plain,
% 4.60/4.78 (((~![X0: $i, X1: $i, X2: $i] : ((~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X2, X1)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X1, X2)))))) | (~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X1, X2)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X2, X1)))))))) | ((~((~(mult(mult(mult(b, a), a), b) = mult(mult(b, a), mult(b, a)))) | (~(mult(mult(mult(b, a), b), a) = mult(mult(b, a), mult(a, b)))))) | (~((~(mult(mult(mult(b, a), a), b) = mult(mult(b, a), mult(a, b)))) | (~(mult(mult(mult(b, a), b), a) = mult(mult(b, a), mult(b, a)))))))) <=> ((~![X0: $i, X1: $i, X2: $i] : ((~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X2, X1)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X1, X2)))))) | (~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X1, X2)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X2, X1)))))))) | (~((~(mult(mult(mult(b, a), a), b) = mult(mult(b, a), mult(b, a)))) | (~(mult(mult(mult(b, a), b), a) = mult(mult(b, a), mult(a, b)))))) | (~((~(mult(mult(mult(b, a), a), b) = mult(mult(b, a), mult(a, b)))) | (~(mult(mult(mult(b, a), b), a) = mult(mult(b, a), mult(b, a)))))))),
% 4.60/4.78 inference(rewrite,[status(thm)],[])).
% 4.60/4.78 tff(4637,plain,
% 4.60/4.78 (((~((~(mult(mult(mult(b, a), a), b) = mult(mult(b, a), mult(b, a)))) | (~(mult(mult(mult(b, a), b), a) = mult(mult(b, a), mult(a, b)))))) | (~((~(mult(mult(mult(b, a), a), b) = mult(mult(b, a), mult(a, b)))) | (~(mult(mult(mult(b, a), b), a) = mult(mult(b, a), mult(b, a))))))) <=> ((~((~(mult(mult(mult(b, a), a), b) = mult(mult(b, a), mult(b, a)))) | (~(mult(mult(mult(b, a), b), a) = mult(mult(b, a), mult(a, b)))))) | (~((~(mult(mult(mult(b, a), a), b) = mult(mult(b, a), mult(a, b)))) | (~(mult(mult(mult(b, a), b), a) = mult(mult(b, a), mult(b, a)))))))),
% 4.60/4.78 inference(rewrite,[status(thm)],[])).
% 4.60/4.78 tff(4638,plain,
% 4.60/4.78 ((~((~(mult(mult(mult(b, a), b), a) = mult(mult(b, a), mult(b, a)))) | (~(mult(mult(mult(b, a), a), b) = mult(mult(b, a), mult(a, b)))))) <=> (~((~(mult(mult(mult(b, a), a), b) = mult(mult(b, a), mult(a, b)))) | (~(mult(mult(mult(b, a), b), a) = mult(mult(b, a), mult(b, a))))))),
% 4.60/4.78 inference(rewrite,[status(thm)],[])).
% 4.60/4.78 tff(4639,plain,
% 4.60/4.78 ((~((~(mult(mult(mult(b, a), b), a) = mult(mult(b, a), mult(a, b)))) | (~(mult(mult(mult(b, a), a), b) = mult(mult(b, a), mult(b, a)))))) <=> (~((~(mult(mult(mult(b, a), a), b) = mult(mult(b, a), mult(b, a)))) | (~(mult(mult(mult(b, a), b), a) = mult(mult(b, a), mult(a, b))))))),
% 4.60/4.78 inference(rewrite,[status(thm)],[])).
% 4.60/4.78 tff(4640,plain,
% 4.60/4.78 (((~((~(mult(mult(mult(b, a), b), a) = mult(mult(b, a), mult(a, b)))) | (~(mult(mult(mult(b, a), a), b) = mult(mult(b, a), mult(b, a)))))) | (~((~(mult(mult(mult(b, a), b), a) = mult(mult(b, a), mult(b, a)))) | (~(mult(mult(mult(b, a), a), b) = mult(mult(b, a), mult(a, b))))))) <=> ((~((~(mult(mult(mult(b, a), a), b) = mult(mult(b, a), mult(b, a)))) | (~(mult(mult(mult(b, a), b), a) = mult(mult(b, a), mult(a, b)))))) | (~((~(mult(mult(mult(b, a), a), b) = mult(mult(b, a), mult(a, b)))) | (~(mult(mult(mult(b, a), b), a) = mult(mult(b, a), mult(b, a)))))))),
% 4.60/4.78 inference(monotonicity,[status(thm)],[4639, 4638])).
% 4.60/4.78 tff(4641,plain,
% 4.60/4.78 (((~((~(mult(mult(mult(b, a), b), a) = mult(mult(b, a), mult(a, b)))) | (~(mult(mult(mult(b, a), a), b) = mult(mult(b, a), mult(b, a)))))) | (~((~(mult(mult(mult(b, a), b), a) = mult(mult(b, a), mult(b, a)))) | (~(mult(mult(mult(b, a), a), b) = mult(mult(b, a), mult(a, b))))))) <=> ((~((~(mult(mult(mult(b, a), a), b) = mult(mult(b, a), mult(b, a)))) | (~(mult(mult(mult(b, a), b), a) = mult(mult(b, a), mult(a, b)))))) | (~((~(mult(mult(mult(b, a), a), b) = mult(mult(b, a), mult(a, b)))) | (~(mult(mult(mult(b, a), b), a) = mult(mult(b, a), mult(b, a)))))))),
% 4.60/4.79 inference(transitivity,[status(thm)],[4640, 4637])).
% 4.60/4.79 tff(4642,plain,
% 4.60/4.79 (((~![X0: $i, X1: $i, X2: $i] : ((~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X2, X1)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X1, X2)))))) | (~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X1, X2)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X2, X1)))))))) | ((~((~(mult(mult(mult(b, a), b), a) = mult(mult(b, a), mult(a, b)))) | (~(mult(mult(mult(b, a), a), b) = mult(mult(b, a), mult(b, a)))))) | (~((~(mult(mult(mult(b, a), b), a) = mult(mult(b, a), mult(b, a)))) | (~(mult(mult(mult(b, a), a), b) = mult(mult(b, a), mult(a, b)))))))) <=> ((~![X0: $i, X1: $i, X2: $i] : ((~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X2, X1)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X1, X2)))))) | (~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X1, X2)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X2, X1)))))))) | ((~((~(mult(mult(mult(b, a), a), b) = mult(mult(b, a), mult(b, a)))) | (~(mult(mult(mult(b, a), b), a) = mult(mult(b, a), mult(a, b)))))) | (~((~(mult(mult(mult(b, a), a), b) = mult(mult(b, a), mult(a, b)))) | (~(mult(mult(mult(b, a), b), a) = mult(mult(b, a), mult(b, a))))))))),
% 4.60/4.79 inference(monotonicity,[status(thm)],[4641])).
% 4.60/4.79 tff(4643,plain,
% 4.60/4.79 (((~![X0: $i, X1: $i, X2: $i] : ((~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X2, X1)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X1, X2)))))) | (~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X1, X2)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X2, X1)))))))) | ((~((~(mult(mult(mult(b, a), b), a) = mult(mult(b, a), mult(a, b)))) | (~(mult(mult(mult(b, a), a), b) = mult(mult(b, a), mult(b, a)))))) | (~((~(mult(mult(mult(b, a), b), a) = mult(mult(b, a), mult(b, a)))) | (~(mult(mult(mult(b, a), a), b) = mult(mult(b, a), mult(a, b)))))))) <=> ((~![X0: $i, X1: $i, X2: $i] : ((~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X2, X1)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X1, X2)))))) | (~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X1, X2)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X2, X1)))))))) | (~((~(mult(mult(mult(b, a), a), b) = mult(mult(b, a), mult(b, a)))) | (~(mult(mult(mult(b, a), b), a) = mult(mult(b, a), mult(a, b)))))) | (~((~(mult(mult(mult(b, a), a), b) = mult(mult(b, a), mult(a, b)))) | (~(mult(mult(mult(b, a), b), a) = mult(mult(b, a), mult(b, a)))))))),
% 4.60/4.79 inference(transitivity,[status(thm)],[4642, 4636])).
% 4.60/4.79 tff(4644,plain,
% 4.60/4.79 ((~![X0: $i, X1: $i, X2: $i] : ((~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X2, X1)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X1, X2)))))) | (~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X1, X2)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X2, X1)))))))) | ((~((~(mult(mult(mult(b, a), b), a) = mult(mult(b, a), mult(a, b)))) | (~(mult(mult(mult(b, a), a), b) = mult(mult(b, a), mult(b, a)))))) | (~((~(mult(mult(mult(b, a), b), a) = mult(mult(b, a), mult(b, a)))) | (~(mult(mult(mult(b, a), a), b) = mult(mult(b, a), mult(a, b)))))))),
% 4.60/4.79 inference(quant_inst,[status(thm)],[])).
% 4.60/4.79 tff(4645,plain,
% 4.60/4.79 ((~![X0: $i, X1: $i, X2: $i] : ((~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X2, X1)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X1, X2)))))) | (~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X1, X2)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X2, X1)))))))) | (~((~(mult(mult(mult(b, a), a), b) = mult(mult(b, a), mult(b, a)))) | (~(mult(mult(mult(b, a), b), a) = mult(mult(b, a), mult(a, b)))))) | (~((~(mult(mult(mult(b, a), a), b) = mult(mult(b, a), mult(a, b)))) | (~(mult(mult(mult(b, a), b), a) = mult(mult(b, a), mult(b, a))))))),
% 4.60/4.79 inference(modus_ponens,[status(thm)],[4644, 4643])).
% 4.60/4.79 tff(4646,plain,
% 4.60/4.79 ((~((~(mult(mult(mult(b, a), a), b) = mult(mult(b, a), mult(b, a)))) | (~(mult(mult(mult(b, a), b), a) = mult(mult(b, a), mult(a, b)))))) | (~((~(mult(mult(mult(b, a), a), b) = mult(mult(b, a), mult(a, b)))) | (~(mult(mult(mult(b, a), b), a) = mult(mult(b, a), mult(b, a))))))),
% 4.60/4.79 inference(unit_resolution,[status(thm)],[4645, 30])).
% 4.60/4.79 tff(4647,plain,
% 4.60/4.79 (~((~(mult(mult(mult(b, a), a), b) = mult(mult(b, a), mult(a, b)))) | (~(mult(mult(mult(b, a), b), a) = mult(mult(b, a), mult(b, a)))))),
% 4.60/4.79 inference(unit_resolution,[status(thm)],[4646, 4635])).
% 4.60/4.79 tff(4648,plain,
% 4.60/4.79 (((~(mult(mult(mult(b, a), a), b) = mult(mult(b, a), mult(a, b)))) | (~(mult(mult(mult(b, a), b), a) = mult(mult(b, a), mult(b, a))))) | (mult(mult(mult(b, a), a), b) = mult(mult(b, a), mult(a, b)))),
% 4.60/4.79 inference(tautology,[status(thm)],[])).
% 4.60/4.79 tff(4649,plain,
% 4.60/4.79 (mult(mult(mult(b, a), a), b) = mult(mult(b, a), mult(a, b))),
% 4.60/4.79 inference(unit_resolution,[status(thm)],[4648, 4647])).
% 4.60/4.79 tff(4650,plain,
% 4.60/4.79 (mult(mult(b, a), mult(a, c)) = mult(mult(mult(b, a), c), a)),
% 4.60/4.79 inference(symmetry,[status(thm)],[3530])).
% 4.60/4.79 tff(4651,plain,
% 4.60/4.79 (mult(mult(b, a), mult(a, c)) = mult(b, mult(mult(a, c), a))),
% 4.60/4.79 inference(transitivity,[status(thm)],[4650, 862])).
% 4.60/4.79 tff(4652,plain,
% 4.60/4.79 ((~(mult(mult(a, mult(a, b)), c) = mult(a, mult(mult(a, b), c)))) | (~(mult(mult(a, c), mult(a, b)) = mult(a, mult(c, mult(a, b)))))),
% 4.60/4.79 inference(unit_resolution,[status(thm)],[266, 1994])).
% 4.60/4.79 tff(4653,plain,
% 4.60/4.79 (~((~(mult(mult(a, mult(a, b)), c) = mult(a, mult(c, mult(a, b))))) | (~(mult(mult(a, c), mult(a, b)) = mult(a, mult(mult(a, b), c)))))),
% 4.60/4.79 inference(unit_resolution,[status(thm)],[292, 4652])).
% 4.60/4.79 tff(4654,plain,
% 4.60/4.79 (mult(mult(a, c), mult(a, b)) = mult(a, mult(mult(a, b), c))),
% 4.60/4.79 inference(unit_resolution,[status(thm)],[601, 4653])).
% 4.60/4.79 tff(4655,assumption,(mult(mult(b, a), mult(a, c)) = mult(b, mult(mult(a, c), a))), introduced(assumption)).
% 4.60/4.79 tff(4656,plain,
% 4.60/4.79 (mult(mult(mult(b, a), c), a) = mult(mult(b, mult(c, a)), a)),
% 4.60/4.79 inference(monotonicity,[status(thm)],[3427])).
% 4.60/4.79 tff(4657,plain,
% 4.60/4.79 (mult(mult(b, mult(c, a)), a) = mult(mult(mult(b, a), c), a)),
% 4.60/4.79 inference(symmetry,[status(thm)],[4656])).
% 4.60/4.79 tff(4658,plain,
% 4.60/4.79 (mult(b, mult(a, mult(c, a))) = mult(mult(b, a), mult(c, a))),
% 4.60/4.79 inference(symmetry,[status(thm)],[3482])).
% 4.60/4.79 tff(4659,plain,
% 4.60/4.79 ((mult(mult(b, mult(c, a)), a) = mult(b, mult(a, mult(c, a)))) <=> (mult(mult(mult(b, a), c), a) = mult(mult(b, a), mult(c, a)))),
% 4.60/4.79 inference(monotonicity,[status(thm)],[4657, 4658])).
% 4.60/4.79 tff(4660,plain,
% 4.60/4.79 ((~(mult(mult(b, mult(c, a)), a) = mult(b, mult(a, mult(c, a))))) <=> (~(mult(mult(mult(b, a), c), a) = mult(mult(b, a), mult(c, a))))),
% 4.60/4.79 inference(monotonicity,[status(thm)],[4659])).
% 4.60/4.79 tff(4661,plain,
% 4.60/4.79 (~(mult(mult(mult(b, a), c), a) = mult(mult(b, a), mult(c, a)))),
% 4.60/4.79 inference(modus_ponens,[status(thm)],[3476, 4660])).
% 4.60/4.79 tff(4662,plain,
% 4.60/4.79 ((~(mult(mult(mult(b, a), a), c) = mult(mult(b, a), mult(a, c)))) | (~(mult(mult(mult(b, a), c), a) = mult(mult(b, a), mult(c, a))))),
% 4.60/4.79 inference(unit_resolution,[status(thm)],[3442, 4661])).
% 4.60/4.79 tff(4663,plain,
% 4.60/4.79 (~((~(mult(mult(b, a), mult(c, a)) = mult(b, mult(a, mult(c, a))))) | (~(mult(mult(b, mult(c, a)), a) = mult(b, mult(mult(c, a), a)))))),
% 4.60/4.79 inference(unit_resolution,[status(thm)],[3488, 3476])).
% 4.60/4.79 tff(4664,plain,
% 4.60/4.79 (((~(mult(mult(b, a), mult(c, a)) = mult(b, mult(a, mult(c, a))))) | (~(mult(mult(b, mult(c, a)), a) = mult(b, mult(mult(c, a), a))))) | (mult(mult(b, c), a) = mult(b, mult(c, a))) | (~(mult(mult(b, c), a) = mult(b, mult(a, c))))),
% 4.60/4.79 inference(unit_resolution,[status(thm)],[3473, 3427])).
% 4.60/4.79 tff(4665,plain,
% 4.60/4.79 (mult(mult(b, c), a) = mult(b, mult(c, a))),
% 4.60/4.79 inference(unit_resolution,[status(thm)],[4664, 4663, 3433])).
% 4.60/4.79 tff(4666,plain,
% 4.60/4.79 (mult(b, mult(c, a)) = mult(mult(b, c), a)),
% 4.60/4.79 inference(symmetry,[status(thm)],[4665])).
% 4.60/4.79 tff(4667,plain,
% 4.60/4.79 (mult(b, mult(c, a)) = mult(b, mult(a, c))),
% 4.60/4.79 inference(transitivity,[status(thm)],[4666, 3433])).
% 4.60/4.79 tff(4668,plain,
% 4.60/4.79 (ld(b, mult(b, mult(c, a))) = ld(b, mult(b, mult(a, c)))),
% 4.60/4.79 inference(monotonicity,[status(thm)],[4667])).
% 4.60/4.79 tff(4669,plain,
% 4.60/4.79 (mult(c, a) = mult(a, c)),
% 4.60/4.79 inference(transitivity,[status(thm)],[4154, 4668, 3523])).
% 4.60/4.79 tff(4670,plain,
% 4.60/4.79 (mult(mult(b, a), mult(c, a)) = mult(mult(b, a), mult(a, c))),
% 4.60/4.79 inference(monotonicity,[status(thm)],[4669])).
% 4.60/4.79 tff(4671,plain,
% 4.60/4.79 (mult(mult(b, a), mult(a, c)) = mult(mult(b, a), mult(c, a))),
% 4.60/4.79 inference(symmetry,[status(thm)],[4670])).
% 4.60/4.79 tff(4672,plain,
% 4.60/4.79 (mult(mult(b, a), mult(a, c)) = mult(b, mult(a, mult(c, a)))),
% 4.60/4.79 inference(transitivity,[status(thm)],[4671, 3482])).
% 4.60/4.79 tff(4673,plain,
% 4.60/4.79 ((mult(mult(mult(b, a), c), a) = mult(mult(b, a), mult(a, c))) <=> (mult(mult(b, mult(c, a)), a) = mult(b, mult(a, mult(c, a))))),
% 4.60/4.79 inference(monotonicity,[status(thm)],[4656, 4672])).
% 4.60/4.79 tff(4674,plain,
% 4.60/4.79 ((mult(mult(b, mult(c, a)), a) = mult(b, mult(a, mult(c, a)))) <=> (mult(mult(mult(b, a), c), a) = mult(mult(b, a), mult(a, c)))),
% 4.60/4.79 inference(symmetry,[status(thm)],[4673])).
% 4.60/4.79 tff(4675,plain,
% 4.60/4.79 ((~(mult(mult(b, mult(c, a)), a) = mult(b, mult(a, mult(c, a))))) <=> (~(mult(mult(mult(b, a), c), a) = mult(mult(b, a), mult(a, c))))),
% 4.60/4.79 inference(monotonicity,[status(thm)],[4674])).
% 4.60/4.79 tff(4676,plain,
% 4.60/4.79 (~(mult(mult(mult(b, a), c), a) = mult(mult(b, a), mult(a, c)))),
% 4.60/4.79 inference(modus_ponens,[status(thm)],[3476, 4675])).
% 4.60/4.79 tff(4677,plain,
% 4.60/4.79 ((~(mult(mult(mult(b, a), a), c) = mult(mult(b, a), mult(c, a)))) | (~(mult(mult(mult(b, a), c), a) = mult(mult(b, a), mult(a, c))))),
% 4.60/4.79 inference(unit_resolution,[status(thm)],[3435, 4676])).
% 4.60/4.79 tff(4678,plain,
% 4.60/4.79 ($false),
% 4.60/4.79 inference(unit_resolution,[status(thm)],[3440, 4677, 4662])).
% 4.60/4.79 tff(4679,plain,(mult(mult(b, mult(c, a)), a) = mult(b, mult(a, mult(c, a)))), inference(lemma,lemma(discharge,[]))).
% 4.60/4.79 tff(4680,plain,
% 4.60/4.79 (mult(b, mult(a, mult(c, a))) = mult(mult(b, mult(c, a)), a)),
% 4.60/4.79 inference(symmetry,[status(thm)],[4679])).
% 4.60/4.79 tff(4681,plain,
% 4.60/4.79 (mult(b, mult(a, mult(c, a))) = mult(b, mult(mult(a, c), a))),
% 4.60/4.79 inference(transitivity,[status(thm)],[4680, 4657, 3530, 4655])).
% 4.60/4.79 tff(4682,plain,
% 4.60/4.79 (ld(b, mult(b, mult(a, mult(c, a)))) = ld(b, mult(b, mult(mult(a, c), a)))),
% 4.60/4.79 inference(monotonicity,[status(thm)],[4681])).
% 4.60/4.79 tff(4683,plain,
% 4.60/4.79 (mult(a, mult(c, a)) = mult(mult(a, c), a)),
% 4.60/4.79 inference(transitivity,[status(thm)],[3780, 4682, 3447])).
% 4.60/4.79 tff(4684,plain,
% 4.60/4.79 (mult(mult(a, mult(c, a)), b) = mult(mult(mult(a, c), a), b)),
% 4.60/4.79 inference(monotonicity,[status(thm)],[4683])).
% 4.60/4.79 tff(4685,plain,
% 4.60/4.79 (mult(mult(mult(a, c), b), a) = mult(mult(a, c), mult(b, a))),
% 4.60/4.79 inference(unit_resolution,[status(thm)],[577, 2235])).
% 4.60/4.79 tff(4686,plain,
% 4.60/4.79 (mult(mult(mult(a, c), mult(b, a)), b) = mult(mult(a, c), mult(mult(b, a), b))),
% 4.60/4.79 inference(unit_resolution,[status(thm)],[3557, 4685])).
% 4.60/4.79 tff(4687,plain,
% 4.60/4.79 ((~(mult(mult(mult(a, c), b), a) = mult(mult(a, c), mult(a, b)))) <=> (~(mult(mult(a, c), mult(a, b)) = mult(mult(a, c), mult(b, a))))),
% 4.60/4.79 inference(monotonicity,[status(thm)],[3584])).
% 4.60/4.79 tff(4688,plain,
% 4.60/4.79 (~(mult(mult(a, c), mult(a, b)) = mult(mult(a, c), mult(b, a)))),
% 4.60/4.79 inference(modus_ponens,[status(thm)],[1226, 4687])).
% 4.60/4.79 tff(4689,plain,
% 4.60/4.79 ((~(mult(mult(a, mult(c, a)), b) = mult(a, mult(b, mult(c, a))))) | (mult(a, b) = mult(b, a)) | (~(mult(mult(a, c), mult(a, b)) = mult(a, mult(mult(a, b), c)))) | (~(mult(mult(mult(a, c), a), b) = mult(mult(a, c), mult(a, b)))) | (~(mult(mult(b, mult(c, a)), a) = mult(b, mult(a, mult(c, a)))))),
% 4.60/4.79 inference(unit_resolution,[status(thm)],[4061, 3427])).
% 4.60/4.79 tff(4690,plain,
% 4.60/4.79 (mult(a, b) = mult(b, a)),
% 4.60/4.79 inference(unit_resolution,[status(thm)],[4689, 2236, 3635, 1736, 593])).
% 4.60/4.79 tff(4691,plain,
% 4.60/4.79 (mult(mult(a, c), mult(a, b)) = mult(mult(a, c), mult(b, a))),
% 4.60/4.79 inference(unit_resolution,[status(thm)],[3997, 4690])).
% 4.60/4.79 tff(4692,plain,
% 4.60/4.79 ($false),
% 4.60/4.79 inference(unit_resolution,[status(thm)],[4691, 4688])).
% 4.60/4.79 tff(4693,plain,((mult(mult(mult(a, c), b), a) = mult(mult(a, c), mult(a, b))) | (~(mult(mult(mult(a, c), mult(b, a)), b) = mult(mult(a, c), mult(mult(b, a), b)))) | (~(mult(mult(b, mult(c, a)), a) = mult(b, mult(a, mult(c, a))))) | (~(mult(mult(a, mult(c, a)), b) = mult(a, mult(b, mult(c, a))))) | (~(mult(mult(a, c), mult(a, b)) = mult(a, mult(mult(a, b), c))))), inference(lemma,lemma(discharge,[]))).
% 4.60/4.79 tff(4694,plain,
% 4.60/4.79 ((mult(mult(mult(a, c), b), a) = mult(mult(a, c), mult(a, b))) | (~(mult(mult(mult(a, c), mult(b, a)), b) = mult(mult(a, c), mult(mult(b, a), b)))) | (~(mult(mult(a, mult(c, a)), b) = mult(a, mult(b, mult(c, a))))) | (~(mult(mult(a, c), mult(a, b)) = mult(a, mult(mult(a, b), c))))),
% 4.60/4.79 inference(unit_resolution,[status(thm)],[4693, 4679])).
% 4.60/4.79 tff(4695,plain,
% 4.60/4.79 (~(mult(mult(a, mult(c, a)), b) = mult(a, mult(b, mult(c, a))))),
% 4.60/4.79 inference(unit_resolution,[status(thm)],[4694, 4654, 4686, 1226])).
% 4.60/4.79 tff(4696,plain,
% 4.60/4.79 ((~(mult(mult(a, b), mult(c, a)) = mult(a, mult(mult(c, a), b)))) | (~(mult(mult(a, mult(c, a)), b) = mult(a, mult(b, mult(c, a)))))),
% 4.60/4.79 inference(unit_resolution,[status(thm)],[735, 4695])).
% 4.60/4.79 tff(4697,plain,
% 4.60/4.79 (~((~(mult(mult(a, b), mult(c, a)) = mult(a, mult(b, mult(c, a))))) | (~(mult(mult(a, mult(c, a)), b) = mult(a, mult(mult(c, a), b)))))),
% 4.60/4.79 inference(unit_resolution,[status(thm)],[201, 4696])).
% 4.60/4.79 tff(4698,plain,
% 4.60/4.79 (mult(mult(a, mult(c, a)), b) = mult(a, mult(mult(c, a), b))),
% 4.60/4.79 inference(unit_resolution,[status(thm)],[739, 4697])).
% 4.60/4.79 tff(4699,plain,
% 4.60/4.79 (mult(a, mult(mult(c, a), b)) = mult(mult(a, mult(c, a)), b)),
% 4.60/4.79 inference(symmetry,[status(thm)],[4698])).
% 4.60/4.79 tff(4700,plain,
% 4.60/4.79 (~(mult(mult(mult(a, c), a), b) = mult(mult(a, c), mult(b, a)))),
% 4.60/4.79 inference(unit_resolution,[status(thm)],[3589, 4686, 1226])).
% 4.60/4.79 tff(4701,plain,
% 4.60/4.79 ((mult(mult(a, mult(c, a)), b) = mult(a, mult(b, mult(c, a)))) | (~(mult(mult(b, mult(c, a)), a) = mult(b, mult(a, mult(c, a))))) | (mult(mult(mult(a, c), a), b) = mult(mult(a, c), mult(b, a))) | (~(mult(mult(c, a), b) = mult(c, mult(b, a))))),
% 4.60/4.79 inference(unit_resolution,[status(thm)],[4124, 3427])).
% 4.60/4.79 tff(4702,plain,
% 4.60/4.79 ((mult(mult(a, mult(c, a)), b) = mult(a, mult(b, mult(c, a)))) | (mult(mult(mult(a, c), a), b) = mult(mult(a, c), mult(b, a))) | (~(mult(mult(c, a), b) = mult(c, mult(b, a))))),
% 4.60/4.79 inference(unit_resolution,[status(thm)],[4701, 4679])).
% 4.60/4.79 tff(4703,plain,
% 4.60/4.79 (~(mult(mult(c, a), b) = mult(c, mult(b, a)))),
% 4.60/4.79 inference(unit_resolution,[status(thm)],[4702, 4695, 4700])).
% 4.60/4.79 tff(4704,plain,
% 4.60/4.79 ((~(mult(mult(c, b), a) = mult(c, mult(a, b)))) | (~(mult(mult(c, a), b) = mult(c, mult(b, a))))),
% 4.60/4.79 inference(unit_resolution,[status(thm)],[303, 4703])).
% 4.60/4.79 tff(4705,plain,
% 4.60/4.79 (~((~(mult(mult(c, b), a) = mult(c, mult(b, a)))) | (~(mult(mult(c, a), b) = mult(c, mult(a, b)))))),
% 4.60/4.79 inference(unit_resolution,[status(thm)],[301, 4704])).
% 4.60/4.79 tff(4706,plain,
% 4.60/4.79 (mult(mult(c, a), b) = mult(c, mult(a, b))),
% 4.60/4.79 inference(unit_resolution,[status(thm)],[296, 4705])).
% 4.60/4.79 tff(4707,plain,
% 4.60/4.79 (mult(c, mult(a, b)) = mult(mult(c, a), b)),
% 4.60/4.79 inference(symmetry,[status(thm)],[4706])).
% 4.60/4.79 tff(4708,plain,
% 4.60/4.79 (mult(a, mult(c, mult(a, b))) = mult(a, mult(mult(c, a), b))),
% 4.60/4.79 inference(monotonicity,[status(thm)],[4707])).
% 4.60/4.79 tff(4709,plain,
% 4.60/4.79 (mult(mult(a, mult(a, b)), c) = mult(a, mult(c, mult(a, b)))),
% 4.60/4.79 inference(unit_resolution,[status(thm)],[287, 4653])).
% 4.60/4.79 tff(4710,plain,
% 4.60/4.79 (mult(mult(a, mult(a, b)), c) = mult(a, mult(mult(a, b), c))),
% 4.60/4.79 inference(transitivity,[status(thm)],[4709, 4708, 4699, 4684, 2236, 4654])).
% 4.60/4.79 tff(4711,plain,
% 4.60/4.79 ($false),
% 4.60/4.79 inference(unit_resolution,[status(thm)],[1994, 4710])).
% 4.60/4.79 tff(4712,plain,((mult(mult(a, mult(a, b)), c) = mult(a, mult(mult(a, b), c))) | (~(mult(mult(b, a), mult(a, c)) = mult(b, mult(mult(a, c), a)))) | (mult(mult(mult(a, c), b), a) = mult(mult(a, c), mult(a, b)))), inference(lemma,lemma(discharge,[]))).
% 4.60/4.79 tff(4713,plain,
% 4.60/4.79 ((mult(mult(a, mult(a, b)), c) = mult(a, mult(mult(a, b), c))) | (mult(mult(mult(a, c), b), a) = mult(mult(a, c), mult(a, b)))),
% 4.60/4.79 inference(unit_resolution,[status(thm)],[4712, 4651])).
% 4.60/4.79 tff(4714,plain,
% 4.60/4.79 (mult(mult(mult(a, c), b), a) = mult(mult(a, c), mult(a, b))),
% 4.60/4.79 inference(unit_resolution,[status(thm)],[4713, 1994])).
% 4.60/4.79 tff(4715,plain,
% 4.60/4.79 ((~![B: $i, A: $i] : (ld(A, mult(A, B)) = B)) | (ld(a, mult(a, mult(mult(b, c), a))) = mult(mult(b, c), a))),
% 4.60/4.79 inference(quant_inst,[status(thm)],[])).
% 4.60/4.79 tff(4716,plain,
% 4.60/4.79 (ld(a, mult(a, mult(mult(b, c), a))) = mult(mult(b, c), a)),
% 4.60/4.79 inference(unit_resolution,[status(thm)],[4715, 9])).
% 4.60/4.79 tff(4717,plain,
% 4.60/4.79 ((mult(a, mult(a, mult(b, c))) = mult(mult(a, mult(b, c)), a)) <=> (mult(mult(a, mult(b, c)), a) = mult(a, mult(a, mult(b, c))))),
% 4.60/4.80 inference(commutativity,[status(thm)],[])).
% 4.60/4.80 tff(4718,plain,
% 4.60/4.80 (mult(a, mult(mult(a, b), c)) = mult(a, mult(a, mult(c, b)))),
% 4.60/4.80 inference(monotonicity,[status(thm)],[91])).
% 4.60/4.80 tff(4719,plain,
% 4.60/4.80 (mult(a, mult(a, mult(c, b))) = mult(a, mult(mult(a, b), c))),
% 4.60/4.80 inference(symmetry,[status(thm)],[4718])).
% 4.60/4.80 tff(4720,plain,
% 4.60/4.80 ((~![B: $i, A: $i] : (rd(mult(A, B), B) = A)) | (rd(mult(mult(mult(a, mult(c, b)), a), a), a) = mult(mult(a, mult(c, b)), a))),
% 4.60/4.80 inference(quant_inst,[status(thm)],[])).
% 4.60/4.80 tff(4721,plain,
% 4.60/4.80 (rd(mult(mult(mult(a, mult(c, b)), a), a), a) = mult(mult(a, mult(c, b)), a)),
% 4.60/4.80 inference(unit_resolution,[status(thm)],[4720, 72])).
% 4.60/4.80 tff(4722,plain,
% 4.60/4.80 (mult(mult(mult(a, mult(c, b)), a), a) = mult(mult(mult(mult(a, b), c), a), a)),
% 4.60/4.80 inference(monotonicity,[status(thm)],[609])).
% 4.60/4.80 tff(4723,plain,
% 4.60/4.80 (mult(mult(mult(mult(a, b), c), a), a) = mult(mult(mult(a, mult(c, b)), a), a)),
% 4.60/4.80 inference(symmetry,[status(thm)],[4722])).
% 4.60/4.80 tff(4724,plain,
% 4.60/4.80 (mult(mult(mult(a, b), c), a) = mult(a, mult(a, mult(c, b)))),
% 4.60/4.80 inference(transitivity,[status(thm)],[608, 89])).
% 4.60/4.80 tff(4725,plain,
% 4.60/4.80 (mult(mult(mult(mult(a, b), c), a), a) = mult(mult(a, mult(a, mult(c, b))), a)),
% 4.60/4.80 inference(monotonicity,[status(thm)],[4724])).
% 4.60/4.80 tff(4726,plain,
% 4.60/4.80 (mult(mult(a, mult(a, mult(c, b))), a) = mult(mult(mult(mult(a, b), c), a), a)),
% 4.60/4.80 inference(symmetry,[status(thm)],[4725])).
% 4.60/4.80 tff(4727,plain,
% 4.60/4.80 (mult(a, mult(a, mult(a, mult(c, b)))) = mult(a, mult(mult(a, mult(c, b)), a))),
% 4.60/4.80 inference(monotonicity,[status(thm)],[369])).
% 4.60/4.80 tff(4728,plain,
% 4.60/4.80 ((mult(mult(a, mult(a, mult(c, b))), a) = mult(a, mult(a, mult(a, mult(c, b))))) <=> (mult(mult(a, mult(a, mult(c, b))), a) = mult(a, mult(mult(a, mult(c, b)), a)))),
% 4.60/4.80 inference(monotonicity,[status(thm)],[4727])).
% 4.60/4.80 tff(4729,plain,
% 4.60/4.80 ((mult(mult(a, mult(a, mult(c, b))), a) = mult(a, mult(mult(a, mult(c, b)), a))) <=> (mult(mult(a, mult(a, mult(c, b))), a) = mult(a, mult(a, mult(a, mult(c, b)))))),
% 4.60/4.80 inference(symmetry,[status(thm)],[4728])).
% 4.60/4.80 tff(4730,assumption,(~(mult(mult(a, mult(a, mult(c, b))), a) = mult(a, mult(a, mult(a, mult(c, b)))))), introduced(assumption)).
% 4.60/4.80 tff(4731,plain,
% 4.60/4.80 (((~(mult(mult(a, a), mult(a, mult(c, b))) = mult(a, mult(mult(a, mult(c, b)), a)))) | (~(mult(mult(a, mult(a, mult(c, b))), a) = mult(a, mult(a, mult(a, mult(c, b))))))) | (mult(mult(a, mult(a, mult(c, b))), a) = mult(a, mult(a, mult(a, mult(c, b)))))),
% 4.60/4.80 inference(tautology,[status(thm)],[])).
% 4.60/4.80 tff(4732,plain,
% 4.60/4.80 ((~(mult(mult(a, a), mult(a, mult(c, b))) = mult(a, mult(mult(a, mult(c, b)), a)))) | (~(mult(mult(a, mult(a, mult(c, b))), a) = mult(a, mult(a, mult(a, mult(c, b))))))),
% 4.60/4.80 inference(unit_resolution,[status(thm)],[4731, 4730])).
% 4.60/4.80 tff(4733,plain,
% 4.60/4.80 (((~![X0: $i, X1: $i, X2: $i] : ((~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X2, X1)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X1, X2)))))) | (~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X1, X2)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X2, X1)))))))) | ((~((~(mult(mult(a, a), mult(a, mult(c, b))) = mult(a, mult(mult(a, mult(c, b)), a)))) | (~(mult(mult(a, mult(a, mult(c, b))), a) = mult(a, mult(a, mult(a, mult(c, b)))))))) | (~((~(mult(mult(a, a), mult(a, mult(c, b))) = mult(a, mult(a, mult(a, mult(c, b)))))) | (~(mult(mult(a, mult(a, mult(c, b))), a) = mult(a, mult(mult(a, mult(c, b)), a)))))))) <=> ((~![X0: $i, X1: $i, X2: $i] : ((~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X2, X1)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X1, X2)))))) | (~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X1, X2)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X2, X1)))))))) | (~((~(mult(mult(a, a), mult(a, mult(c, b))) = mult(a, mult(mult(a, mult(c, b)), a)))) | (~(mult(mult(a, mult(a, mult(c, b))), a) = mult(a, mult(a, mult(a, mult(c, b)))))))) | (~((~(mult(mult(a, a), mult(a, mult(c, b))) = mult(a, mult(a, mult(a, mult(c, b)))))) | (~(mult(mult(a, mult(a, mult(c, b))), a) = mult(a, mult(mult(a, mult(c, b)), a)))))))),
% 4.60/4.80 inference(rewrite,[status(thm)],[])).
% 4.60/4.80 tff(4734,plain,
% 4.60/4.80 (((~((~(mult(mult(a, a), mult(a, mult(c, b))) = mult(a, mult(mult(a, mult(c, b)), a)))) | (~(mult(mult(a, mult(a, mult(c, b))), a) = mult(a, mult(a, mult(a, mult(c, b)))))))) | (~((~(mult(mult(a, a), mult(a, mult(c, b))) = mult(a, mult(a, mult(a, mult(c, b)))))) | (~(mult(mult(a, mult(a, mult(c, b))), a) = mult(a, mult(mult(a, mult(c, b)), a))))))) <=> ((~((~(mult(mult(a, a), mult(a, mult(c, b))) = mult(a, mult(mult(a, mult(c, b)), a)))) | (~(mult(mult(a, mult(a, mult(c, b))), a) = mult(a, mult(a, mult(a, mult(c, b)))))))) | (~((~(mult(mult(a, a), mult(a, mult(c, b))) = mult(a, mult(a, mult(a, mult(c, b)))))) | (~(mult(mult(a, mult(a, mult(c, b))), a) = mult(a, mult(mult(a, mult(c, b)), a)))))))),
% 4.60/4.80 inference(rewrite,[status(thm)],[])).
% 4.60/4.80 tff(4735,plain,
% 4.60/4.80 ((~((~(mult(mult(a, mult(a, mult(c, b))), a) = mult(a, mult(mult(a, mult(c, b)), a)))) | (~(mult(mult(a, a), mult(a, mult(c, b))) = mult(a, mult(a, mult(a, mult(c, b)))))))) <=> (~((~(mult(mult(a, a), mult(a, mult(c, b))) = mult(a, mult(a, mult(a, mult(c, b)))))) | (~(mult(mult(a, mult(a, mult(c, b))), a) = mult(a, mult(mult(a, mult(c, b)), a))))))),
% 4.60/4.80 inference(rewrite,[status(thm)],[])).
% 4.60/4.80 tff(4736,plain,
% 4.60/4.80 ((~((~(mult(mult(a, mult(a, mult(c, b))), a) = mult(a, mult(a, mult(a, mult(c, b)))))) | (~(mult(mult(a, a), mult(a, mult(c, b))) = mult(a, mult(mult(a, mult(c, b)), a)))))) <=> (~((~(mult(mult(a, a), mult(a, mult(c, b))) = mult(a, mult(mult(a, mult(c, b)), a)))) | (~(mult(mult(a, mult(a, mult(c, b))), a) = mult(a, mult(a, mult(a, mult(c, b))))))))),
% 4.60/4.80 inference(rewrite,[status(thm)],[])).
% 4.60/4.80 tff(4737,plain,
% 4.60/4.80 (((~((~(mult(mult(a, mult(a, mult(c, b))), a) = mult(a, mult(a, mult(a, mult(c, b)))))) | (~(mult(mult(a, a), mult(a, mult(c, b))) = mult(a, mult(mult(a, mult(c, b)), a)))))) | (~((~(mult(mult(a, mult(a, mult(c, b))), a) = mult(a, mult(mult(a, mult(c, b)), a)))) | (~(mult(mult(a, a), mult(a, mult(c, b))) = mult(a, mult(a, mult(a, mult(c, b))))))))) <=> ((~((~(mult(mult(a, a), mult(a, mult(c, b))) = mult(a, mult(mult(a, mult(c, b)), a)))) | (~(mult(mult(a, mult(a, mult(c, b))), a) = mult(a, mult(a, mult(a, mult(c, b)))))))) | (~((~(mult(mult(a, a), mult(a, mult(c, b))) = mult(a, mult(a, mult(a, mult(c, b)))))) | (~(mult(mult(a, mult(a, mult(c, b))), a) = mult(a, mult(mult(a, mult(c, b)), a)))))))),
% 4.60/4.80 inference(monotonicity,[status(thm)],[4736, 4735])).
% 4.60/4.80 tff(4738,plain,
% 4.60/4.80 (((~((~(mult(mult(a, mult(a, mult(c, b))), a) = mult(a, mult(a, mult(a, mult(c, b)))))) | (~(mult(mult(a, a), mult(a, mult(c, b))) = mult(a, mult(mult(a, mult(c, b)), a)))))) | (~((~(mult(mult(a, mult(a, mult(c, b))), a) = mult(a, mult(mult(a, mult(c, b)), a)))) | (~(mult(mult(a, a), mult(a, mult(c, b))) = mult(a, mult(a, mult(a, mult(c, b))))))))) <=> ((~((~(mult(mult(a, a), mult(a, mult(c, b))) = mult(a, mult(mult(a, mult(c, b)), a)))) | (~(mult(mult(a, mult(a, mult(c, b))), a) = mult(a, mult(a, mult(a, mult(c, b)))))))) | (~((~(mult(mult(a, a), mult(a, mult(c, b))) = mult(a, mult(a, mult(a, mult(c, b)))))) | (~(mult(mult(a, mult(a, mult(c, b))), a) = mult(a, mult(mult(a, mult(c, b)), a)))))))),
% 4.60/4.80 inference(transitivity,[status(thm)],[4737, 4734])).
% 4.60/4.80 tff(4739,plain,
% 4.60/4.80 (((~![X0: $i, X1: $i, X2: $i] : ((~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X2, X1)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X1, X2)))))) | (~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X1, X2)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X2, X1)))))))) | ((~((~(mult(mult(a, mult(a, mult(c, b))), a) = mult(a, mult(a, mult(a, mult(c, b)))))) | (~(mult(mult(a, a), mult(a, mult(c, b))) = mult(a, mult(mult(a, mult(c, b)), a)))))) | (~((~(mult(mult(a, mult(a, mult(c, b))), a) = mult(a, mult(mult(a, mult(c, b)), a)))) | (~(mult(mult(a, a), mult(a, mult(c, b))) = mult(a, mult(a, mult(a, mult(c, b)))))))))) <=> ((~![X0: $i, X1: $i, X2: $i] : ((~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X2, X1)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X1, X2)))))) | (~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X1, X2)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X2, X1)))))))) | ((~((~(mult(mult(a, a), mult(a, mult(c, b))) = mult(a, mult(mult(a, mult(c, b)), a)))) | (~(mult(mult(a, mult(a, mult(c, b))), a) = mult(a, mult(a, mult(a, mult(c, b)))))))) | (~((~(mult(mult(a, a), mult(a, mult(c, b))) = mult(a, mult(a, mult(a, mult(c, b)))))) | (~(mult(mult(a, mult(a, mult(c, b))), a) = mult(a, mult(mult(a, mult(c, b)), a))))))))),
% 4.60/4.80 inference(monotonicity,[status(thm)],[4738])).
% 4.60/4.80 tff(4740,plain,
% 4.60/4.80 (((~![X0: $i, X1: $i, X2: $i] : ((~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X2, X1)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X1, X2)))))) | (~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X1, X2)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X2, X1)))))))) | ((~((~(mult(mult(a, mult(a, mult(c, b))), a) = mult(a, mult(a, mult(a, mult(c, b)))))) | (~(mult(mult(a, a), mult(a, mult(c, b))) = mult(a, mult(mult(a, mult(c, b)), a)))))) | (~((~(mult(mult(a, mult(a, mult(c, b))), a) = mult(a, mult(mult(a, mult(c, b)), a)))) | (~(mult(mult(a, a), mult(a, mult(c, b))) = mult(a, mult(a, mult(a, mult(c, b)))))))))) <=> ((~![X0: $i, X1: $i, X2: $i] : ((~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X2, X1)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X1, X2)))))) | (~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X1, X2)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X2, X1)))))))) | (~((~(mult(mult(a, a), mult(a, mult(c, b))) = mult(a, mult(mult(a, mult(c, b)), a)))) | (~(mult(mult(a, mult(a, mult(c, b))), a) = mult(a, mult(a, mult(a, mult(c, b)))))))) | (~((~(mult(mult(a, a), mult(a, mult(c, b))) = mult(a, mult(a, mult(a, mult(c, b)))))) | (~(mult(mult(a, mult(a, mult(c, b))), a) = mult(a, mult(mult(a, mult(c, b)), a)))))))),
% 4.60/4.80 inference(transitivity,[status(thm)],[4739, 4733])).
% 4.60/4.80 tff(4741,plain,
% 4.60/4.80 ((~![X0: $i, X1: $i, X2: $i] : ((~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X2, X1)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X1, X2)))))) | (~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X1, X2)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X2, X1)))))))) | ((~((~(mult(mult(a, mult(a, mult(c, b))), a) = mult(a, mult(a, mult(a, mult(c, b)))))) | (~(mult(mult(a, a), mult(a, mult(c, b))) = mult(a, mult(mult(a, mult(c, b)), a)))))) | (~((~(mult(mult(a, mult(a, mult(c, b))), a) = mult(a, mult(mult(a, mult(c, b)), a)))) | (~(mult(mult(a, a), mult(a, mult(c, b))) = mult(a, mult(a, mult(a, mult(c, b)))))))))),
% 4.60/4.80 inference(quant_inst,[status(thm)],[])).
% 4.60/4.80 tff(4742,plain,
% 4.60/4.80 ((~![X0: $i, X1: $i, X2: $i] : ((~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X2, X1)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X1, X2)))))) | (~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X1, X2)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X2, X1)))))))) | (~((~(mult(mult(a, a), mult(a, mult(c, b))) = mult(a, mult(mult(a, mult(c, b)), a)))) | (~(mult(mult(a, mult(a, mult(c, b))), a) = mult(a, mult(a, mult(a, mult(c, b)))))))) | (~((~(mult(mult(a, a), mult(a, mult(c, b))) = mult(a, mult(a, mult(a, mult(c, b)))))) | (~(mult(mult(a, mult(a, mult(c, b))), a) = mult(a, mult(mult(a, mult(c, b)), a))))))),
% 4.60/4.80 inference(modus_ponens,[status(thm)],[4741, 4740])).
% 4.60/4.80 tff(4743,plain,
% 4.60/4.80 ((~((~(mult(mult(a, a), mult(a, mult(c, b))) = mult(a, mult(mult(a, mult(c, b)), a)))) | (~(mult(mult(a, mult(a, mult(c, b))), a) = mult(a, mult(a, mult(a, mult(c, b)))))))) | (~((~(mult(mult(a, a), mult(a, mult(c, b))) = mult(a, mult(a, mult(a, mult(c, b)))))) | (~(mult(mult(a, mult(a, mult(c, b))), a) = mult(a, mult(mult(a, mult(c, b)), a))))))),
% 4.60/4.80 inference(unit_resolution,[status(thm)],[4742, 30])).
% 4.60/4.80 tff(4744,plain,
% 4.60/4.80 (~((~(mult(mult(a, a), mult(a, mult(c, b))) = mult(a, mult(a, mult(a, mult(c, b)))))) | (~(mult(mult(a, mult(a, mult(c, b))), a) = mult(a, mult(mult(a, mult(c, b)), a)))))),
% 4.60/4.80 inference(unit_resolution,[status(thm)],[4743, 4732])).
% 4.60/4.80 tff(4745,plain,
% 4.60/4.80 (((~(mult(mult(a, a), mult(a, mult(c, b))) = mult(a, mult(a, mult(a, mult(c, b)))))) | (~(mult(mult(a, mult(a, mult(c, b))), a) = mult(a, mult(mult(a, mult(c, b)), a))))) | (mult(mult(a, mult(a, mult(c, b))), a) = mult(a, mult(mult(a, mult(c, b)), a)))),
% 4.60/4.80 inference(tautology,[status(thm)],[])).
% 4.60/4.80 tff(4746,plain,
% 4.60/4.80 (mult(mult(a, mult(a, mult(c, b))), a) = mult(a, mult(mult(a, mult(c, b)), a))),
% 4.60/4.80 inference(unit_resolution,[status(thm)],[4745, 4744])).
% 4.60/4.80 tff(4747,plain,
% 4.60/4.80 (mult(mult(a, mult(a, mult(c, b))), a) = mult(a, mult(a, mult(a, mult(c, b))))),
% 4.60/4.80 inference(modus_ponens,[status(thm)],[4746, 4729])).
% 4.60/4.80 tff(4748,plain,
% 4.60/4.80 ($false),
% 4.60/4.80 inference(unit_resolution,[status(thm)],[4730, 4747])).
% 4.60/4.80 tff(4749,plain,((mult(mult(a, mult(a, mult(c, b))), a) = mult(a, mult(a, mult(a, mult(c, b))))) | (~(mult(mult(a, mult(c, b)), a) = mult(a, mult(a, mult(c, b)))))), inference(lemma,lemma(discharge,[]))).
% 4.60/4.80 tff(4750,plain,
% 4.60/4.80 (mult(mult(a, mult(a, mult(c, b))), a) = mult(a, mult(a, mult(a, mult(c, b))))),
% 4.60/4.80 inference(unit_resolution,[status(thm)],[4749, 89])).
% 4.60/4.80 tff(4751,plain,
% 4.60/4.80 (mult(a, mult(a, mult(a, mult(c, b)))) = mult(mult(a, mult(a, mult(c, b))), a)),
% 4.60/4.80 inference(symmetry,[status(thm)],[4750])).
% 4.60/4.80 tff(4752,plain,
% 4.60/4.80 (mult(a, mult(a, mult(a, mult(c, b)))) = mult(a, mult(mult(a, mult(c, b)), a))),
% 4.60/4.80 inference(monotonicity,[status(thm)],[109])).
% 4.60/4.80 tff(4753,plain,
% 4.60/4.80 (mult(a, mult(mult(a, mult(c, b)), a)) = mult(a, mult(a, mult(a, mult(c, b))))),
% 4.60/4.80 inference(symmetry,[status(thm)],[4752])).
% 4.60/4.80 tff(4754,assumption,(~(mult(mult(mult(a, a), mult(c, b)), a) = mult(a, mult(mult(a, mult(c, b)), a)))), introduced(assumption)).
% 4.60/4.80 tff(4755,plain,
% 4.60/4.80 ((~![C: $i, B: $i, A: $i] : (mult(mult(mult(A, B), C), B) = mult(A, mult(mult(B, C), B)))) | (mult(mult(mult(a, a), mult(c, b)), a) = mult(a, mult(mult(a, mult(c, b)), a)))),
% 4.60/4.80 inference(quant_inst,[status(thm)],[])).
% 4.60/4.80 tff(4756,plain,
% 4.60/4.80 ($false),
% 4.60/4.80 inference(unit_resolution,[status(thm)],[4755, 860, 4754])).
% 4.60/4.80 tff(4757,plain,(mult(mult(mult(a, a), mult(c, b)), a) = mult(a, mult(mult(a, mult(c, b)), a))), inference(lemma,lemma(discharge,[]))).
% 4.60/4.80 tff(4758,plain,
% 4.60/4.80 (mult(mult(mult(a, a), mult(c, b)), a) = mult(mult(mult(a, mult(c, b)), a), a)),
% 4.60/4.80 inference(transitivity,[status(thm)],[4757, 4753, 4751, 4726, 4723])).
% 4.60/4.80 tff(4759,plain,
% 4.60/4.80 (rd(mult(mult(mult(a, a), mult(c, b)), a), a) = rd(mult(mult(mult(a, mult(c, b)), a), a), a)),
% 4.60/4.80 inference(monotonicity,[status(thm)],[4758])).
% 4.60/4.80 tff(4760,plain,
% 4.60/4.80 ((~![B: $i, A: $i] : (rd(mult(A, B), B) = A)) | (rd(mult(mult(mult(a, a), mult(c, b)), a), a) = mult(mult(a, a), mult(c, b)))),
% 4.60/4.80 inference(quant_inst,[status(thm)],[])).
% 4.60/4.80 tff(4761,plain,
% 4.60/4.80 (rd(mult(mult(mult(a, a), mult(c, b)), a), a) = mult(mult(a, a), mult(c, b))),
% 4.60/4.80 inference(unit_resolution,[status(thm)],[4760, 72])).
% 4.60/4.80 tff(4762,plain,
% 4.60/4.80 (mult(mult(a, a), mult(c, b)) = rd(mult(mult(mult(a, a), mult(c, b)), a), a)),
% 4.60/4.80 inference(symmetry,[status(thm)],[4761])).
% 4.60/4.80 tff(4763,plain,
% 4.60/4.80 (~(mult(mult(a, c), mult(a, b)) = mult(a, mult(mult(a, b), c)))),
% 4.60/4.80 inference(unit_resolution,[status(thm)],[599, 89, 41, 91, 971])).
% 4.60/4.80 tff(4764,plain,
% 4.60/4.80 ((mult(a, mult(a, mult(c, b))) = mult(mult(a, a), mult(c, b))) <=> (mult(mult(a, a), mult(c, b)) = mult(a, mult(a, mult(c, b))))),
% 4.60/4.80 inference(commutativity,[status(thm)],[])).
% 4.60/4.80 tff(4765,plain,
% 4.60/4.80 ((~(mult(mult(a, mult(a, b)), c) = mult(a, mult(c, mult(a, b))))) | (~(mult(mult(a, c), mult(a, b)) = mult(a, mult(mult(a, b), c))))),
% 4.60/4.80 inference(unit_resolution,[status(thm)],[601, 4763])).
% 4.60/4.80 tff(4766,plain,
% 4.60/4.80 (~((~(mult(mult(a, mult(a, b)), c) = mult(a, mult(mult(a, b), c)))) | (~(mult(mult(a, c), mult(a, b)) = mult(a, mult(c, mult(a, b))))))),
% 4.60/4.80 inference(unit_resolution,[status(thm)],[292, 4765])).
% 4.60/4.80 tff(4767,plain,
% 4.60/4.80 (mult(mult(a, mult(a, b)), c) = mult(a, mult(mult(a, b), c))),
% 4.60/4.80 inference(unit_resolution,[status(thm)],[266, 4766])).
% 4.60/4.80 tff(4768,plain,
% 4.60/4.80 (mult(mult(mult(a, a), b), c) = mult(a, mult(a, mult(c, b)))),
% 4.60/4.80 inference(transitivity,[status(thm)],[2169, 4767, 4718])).
% 4.60/4.80 tff(4769,plain,
% 4.60/4.80 ((mult(mult(mult(a, a), b), c) = mult(mult(a, a), mult(c, b))) <=> (mult(a, mult(a, mult(c, b))) = mult(mult(a, a), mult(c, b)))),
% 4.60/4.80 inference(monotonicity,[status(thm)],[4768])).
% 4.60/4.80 tff(4770,plain,
% 4.60/4.80 ((mult(mult(mult(a, a), b), c) = mult(mult(a, a), mult(c, b))) <=> (mult(mult(a, a), mult(c, b)) = mult(a, mult(a, mult(c, b))))),
% 4.60/4.80 inference(transitivity,[status(thm)],[4769, 4764])).
% 4.60/4.80 tff(4771,plain,
% 4.60/4.80 ((mult(mult(a, a), mult(c, b)) = mult(a, mult(a, mult(c, b)))) <=> (mult(mult(mult(a, a), b), c) = mult(mult(a, a), mult(c, b)))),
% 4.60/4.81 inference(symmetry,[status(thm)],[4770])).
% 4.60/4.81 tff(4772,plain,
% 4.60/4.81 ((~(mult(mult(a, a), mult(c, b)) = mult(a, mult(a, mult(c, b))))) <=> (~(mult(mult(mult(a, a), b), c) = mult(mult(a, a), mult(c, b))))),
% 4.60/4.81 inference(monotonicity,[status(thm)],[4771])).
% 4.60/4.81 tff(4773,plain,
% 4.60/4.81 ((mult(mult(a, mult(c, b)), a) = mult(a, mult(mult(c, b), a))) <=> (mult(a, mult(a, mult(c, b))) = mult(mult(a, a), mult(c, b)))),
% 4.60/4.81 inference(monotonicity,[status(thm)],[89, 3205])).
% 4.60/4.81 tff(4774,plain,
% 4.60/4.81 ((mult(mult(a, mult(c, b)), a) = mult(a, mult(mult(c, b), a))) <=> (mult(mult(a, a), mult(c, b)) = mult(a, mult(a, mult(c, b))))),
% 4.60/4.81 inference(transitivity,[status(thm)],[4773, 4764])).
% 4.60/4.81 tff(4775,plain,
% 4.60/4.81 ((~(mult(mult(a, mult(c, b)), a) = mult(a, mult(mult(c, b), a)))) <=> (~(mult(mult(a, a), mult(c, b)) = mult(a, mult(a, mult(c, b)))))),
% 4.60/4.81 inference(monotonicity,[status(thm)],[4774])).
% 4.60/4.81 tff(4776,plain,
% 4.60/4.81 (~(mult(mult(a, a), mult(c, b)) = mult(a, mult(a, mult(c, b))))),
% 4.60/4.81 inference(modus_ponens,[status(thm)],[78, 4775])).
% 4.60/4.81 tff(4777,plain,
% 4.60/4.81 (~(mult(mult(mult(a, a), b), c) = mult(mult(a, a), mult(c, b)))),
% 4.60/4.81 inference(modus_ponens,[status(thm)],[4776, 4772])).
% 4.60/4.81 tff(4778,plain,
% 4.60/4.81 ((~(mult(mult(mult(a, a), b), c) = mult(mult(a, a), mult(c, b)))) | (~(mult(mult(mult(a, a), c), b) = mult(mult(a, a), mult(b, c))))),
% 4.60/4.81 inference(unit_resolution,[status(thm)],[326, 4777])).
% 4.60/4.81 tff(4779,plain,
% 4.60/4.81 (~((~(mult(mult(mult(a, a), b), c) = mult(mult(a, a), mult(b, c)))) | (~(mult(mult(mult(a, a), c), b) = mult(mult(a, a), mult(c, b)))))),
% 4.60/4.81 inference(unit_resolution,[status(thm)],[338, 4778])).
% 4.60/4.81 tff(4780,plain,
% 4.60/4.81 (mult(mult(mult(a, a), b), c) = mult(mult(a, a), mult(b, c))),
% 4.60/4.81 inference(unit_resolution,[status(thm)],[317, 4779])).
% 4.60/4.81 tff(4781,plain,
% 4.60/4.81 (mult(mult(mult(a, a), c), b) = mult(mult(a, a), mult(c, b))),
% 4.60/4.81 inference(unit_resolution,[status(thm)],[1006, 4779])).
% 4.60/4.81 tff(4782,plain,
% 4.60/4.81 (mult(mult(a, mult(a, b)), c) = mult(mult(mult(a, a), b), c)),
% 4.60/4.81 inference(symmetry,[status(thm)],[2169])).
% 4.60/4.81 tff(4783,plain,
% 4.60/4.81 (mult(mult(a, mult(a, b)), c) = mult(a, mult(mult(a, b), c))),
% 4.60/4.81 inference(unit_resolution,[status(thm)],[266, 688])).
% 4.60/4.81 tff(4784,plain,
% 4.60/4.81 (mult(a, mult(mult(a, b), c)) = mult(mult(a, mult(a, b)), c)),
% 4.60/4.81 inference(symmetry,[status(thm)],[4783])).
% 4.60/4.81 tff(4785,plain,
% 4.60/4.81 (~(mult(mult(mult(a, b), c), a) = mult(mult(a, b), mult(c, a)))),
% 4.60/4.81 inference(unit_resolution,[status(thm)],[692, 421, 106, 249, 686])).
% 4.60/4.81 tff(4786,plain,
% 4.60/4.81 ((~(mult(mult(mult(a, b), a), c) = mult(mult(a, b), mult(a, c)))) | (~(mult(mult(mult(a, b), c), a) = mult(mult(a, b), mult(c, a))))),
% 4.60/4.81 inference(unit_resolution,[status(thm)],[185, 4785])).
% 4.60/4.81 tff(4787,plain,
% 4.60/4.81 (~((~(mult(mult(mult(a, b), a), c) = mult(mult(a, b), mult(c, a)))) | (~(mult(mult(mult(a, b), c), a) = mult(mult(a, b), mult(a, c)))))),
% 4.60/4.81 inference(unit_resolution,[status(thm)],[183, 4786])).
% 4.60/4.81 tff(4788,plain,
% 4.60/4.81 (mult(mult(mult(a, b), c), a) = mult(mult(a, b), mult(a, c))),
% 4.60/4.81 inference(unit_resolution,[status(thm)],[178, 4787])).
% 4.60/4.81 tff(4789,plain,
% 4.60/4.81 (mult(mult(a, b), mult(a, c)) = mult(mult(mult(a, b), c), a)),
% 4.60/4.81 inference(symmetry,[status(thm)],[4788])).
% 4.60/4.81 tff(4790,plain,
% 4.60/4.81 (mult(mult(a, b), mult(a, c)) = mult(mult(a, a), mult(b, c))),
% 4.60/4.81 inference(transitivity,[status(thm)],[4789, 107, 249, 259, 4784, 4782, 2629])).
% 4.60/4.81 tff(4791,plain,
% 4.60/4.81 ((mult(mult(a, b), mult(a, c)) = mult(a, mult(mult(a, c), b))) <=> (mult(mult(a, a), mult(b, c)) = mult(a, mult(a, mult(b, c))))),
% 4.60/4.81 inference(monotonicity,[status(thm)],[4790, 150])).
% 4.60/4.81 tff(4792,plain,
% 4.60/4.81 ((~(mult(mult(a, b), mult(a, c)) = mult(a, mult(mult(a, c), b)))) <=> (~(mult(mult(a, a), mult(b, c)) = mult(a, mult(a, mult(b, c)))))),
% 4.60/4.81 inference(monotonicity,[status(thm)],[4791])).
% 4.60/4.81 tff(4793,plain,
% 4.60/4.81 (~(mult(mult(a, b), mult(a, c)) = mult(a, mult(mult(a, c), b)))),
% 4.60/4.81 inference(unit_resolution,[status(thm)],[564, 4788, 106, 115, 117, 249])).
% 4.60/4.81 tff(4794,plain,
% 4.60/4.81 (~(mult(mult(a, a), mult(b, c)) = mult(a, mult(a, mult(b, c))))),
% 4.60/4.81 inference(modus_ponens,[status(thm)],[4793, 4792])).
% 4.60/4.81 tff(4795,plain,
% 4.60/4.81 ((~(mult(mult(a, a), mult(b, c)) = mult(a, mult(a, mult(b, c))))) | (~(mult(mult(a, mult(b, c)), a) = mult(a, mult(mult(b, c), a))))),
% 4.60/4.81 inference(unit_resolution,[status(thm)],[2627, 4794])).
% 4.60/4.81 tff(4796,plain,
% 4.60/4.81 (~((~(mult(mult(a, a), mult(b, c)) = mult(a, mult(mult(b, c), a)))) | (~(mult(mult(a, mult(b, c)), a) = mult(a, mult(a, mult(b, c))))))),
% 4.60/4.81 inference(unit_resolution,[status(thm)],[504, 4795])).
% 4.60/4.81 tff(4797,plain,
% 4.60/4.81 (mult(mult(a, mult(b, c)), a) = mult(a, mult(a, mult(b, c)))),
% 4.60/4.81 inference(unit_resolution,[status(thm)],[95, 4796])).
% 4.60/4.81 tff(4798,plain,
% 4.60/4.81 (mult(a, mult(a, mult(b, c))) = mult(mult(a, mult(b, c)), a)),
% 4.60/4.81 inference(symmetry,[status(thm)],[4797])).
% 4.60/4.81 tff(4799,plain,
% 4.60/4.81 ((~(mult(mult(a, mult(a, c)), b) = mult(a, mult(b, mult(a, c))))) | (~(mult(mult(a, b), mult(a, c)) = mult(a, mult(mult(a, c), b))))),
% 4.60/4.81 inference(unit_resolution,[status(thm)],[138, 4793])).
% 4.60/4.81 tff(4800,plain,
% 4.60/4.81 (~((~(mult(mult(a, mult(a, c)), b) = mult(a, mult(mult(a, c), b)))) | (~(mult(mult(a, b), mult(a, c)) = mult(a, mult(b, mult(a, c))))))),
% 4.60/4.81 inference(unit_resolution,[status(thm)],[142, 30, 4799])).
% 4.60/4.81 tff(4801,plain,
% 4.60/4.81 (mult(mult(a, mult(a, c)), b) = mult(a, mult(mult(a, c), b))),
% 4.60/4.81 inference(unit_resolution,[status(thm)],[899, 4800])).
% 4.60/4.81 tff(4802,plain,
% 4.60/4.81 (~(mult(mult(a, c), a) = mult(a, mult(a, c)))),
% 4.60/4.81 inference(unit_resolution,[status(thm)],[1082, 4797, 614, 117, 4801])).
% 4.60/4.81 tff(4803,plain,
% 4.60/4.81 ((~(mult(mult(a, a), c) = mult(a, mult(c, a)))) | (~(mult(mult(a, c), a) = mult(a, mult(a, c))))),
% 4.60/4.81 inference(unit_resolution,[status(thm)],[1725, 4802])).
% 4.60/4.81 tff(4804,plain,
% 4.60/4.81 (~((~(mult(mult(a, a), c) = mult(a, mult(a, c)))) | (~(mult(mult(a, c), a) = mult(a, mult(c, a)))))),
% 4.60/4.81 inference(unit_resolution,[status(thm)],[1730, 4803])).
% 4.60/4.81 tff(4805,plain,
% 4.60/4.81 (((~(mult(mult(a, a), c) = mult(a, mult(a, c)))) | (~(mult(mult(a, c), a) = mult(a, mult(c, a))))) | (mult(mult(a, a), c) = mult(a, mult(a, c)))),
% 4.60/4.81 inference(tautology,[status(thm)],[])).
% 4.60/4.81 tff(4806,plain,
% 4.60/4.81 (mult(mult(a, a), c) = mult(a, mult(a, c))),
% 4.60/4.81 inference(unit_resolution,[status(thm)],[4805, 4804])).
% 4.60/4.81 tff(4807,plain,
% 4.60/4.81 (mult(mult(mult(a, a), c), b) = mult(mult(a, mult(a, c)), b)),
% 4.60/4.81 inference(monotonicity,[status(thm)],[4806])).
% 4.60/4.81 tff(4808,plain,
% 4.60/4.81 (mult(a, mult(mult(c, b), a)) = mult(a, mult(c, mult(a, b)))),
% 4.60/4.81 inference(transitivity,[status(thm)],[1884, 910, 4807, 4801, 150, 4798, 215, 971, 689])).
% 4.60/4.81 tff(4809,plain,
% 4.60/4.81 (ld(a, mult(a, mult(mult(c, b), a))) = ld(a, mult(a, mult(c, mult(a, b))))),
% 4.60/4.81 inference(monotonicity,[status(thm)],[4808])).
% 4.60/4.81 tff(4810,plain,
% 4.60/4.81 (mult(mult(c, b), a) = mult(c, mult(a, b))),
% 4.60/4.81 inference(transitivity,[status(thm)],[713, 4809, 667])).
% 4.60/4.81 tff(4811,plain,
% 4.60/4.81 ($false),
% 4.60/4.81 inference(unit_resolution,[status(thm)],[1278, 4810])).
% 4.60/4.81 tff(4812,plain,((mult(mult(c, a), b) = mult(c, mult(b, a))) | (~(mult(mult(a, a), mult(c, b)) = mult(a, mult(mult(c, b), a)))) | (~(mult(mult(mult(a, a), c), b) = mult(mult(a, a), mult(c, b)))) | (~(mult(mult(a, c), b) = mult(a, mult(b, c)))) | (mult(mult(mult(a, c), b), a) = mult(mult(a, c), mult(b, a))) | (~(mult(mult(mult(a, a), b), c) = mult(mult(a, a), mult(b, c)))) | (~(mult(mult(a, mult(c, b)), a) = mult(a, mult(a, mult(c, b))))) | (~(mult(mult(a, b), c) = mult(a, mult(c, b)))) | (mult(mult(a, b), c) = mult(a, mult(b, c))) | (mult(mult(a, c), mult(a, b)) = mult(a, mult(mult(a, b), c)))), inference(lemma,lemma(discharge,[]))).
% 4.60/4.81 tff(4813,plain,
% 4.60/4.81 (mult(mult(c, a), b) = mult(c, mult(b, a))),
% 4.60/4.81 inference(unit_resolution,[status(thm)],[4812, 320, 4781, 97, 614, 4780, 89, 91, 65, 4763])).
% 4.60/4.81 tff(4814,plain,
% 4.60/4.81 (mult(mult(c, b), a) = mult(c, mult(a, b))),
% 4.60/4.81 inference(unit_resolution,[status(thm)],[2109, 4813])).
% 4.60/4.81 tff(4815,plain,
% 4.60/4.81 (mult(c, mult(a, b)) = mult(mult(c, b), a)),
% 4.60/4.81 inference(symmetry,[status(thm)],[4814])).
% 4.60/4.81 tff(4816,plain,
% 4.60/4.81 (mult(a, mult(c, mult(a, b))) = mult(a, mult(mult(c, b), a))),
% 4.60/4.81 inference(monotonicity,[status(thm)],[4815])).
% 4.60/4.81 tff(4817,plain,
% 4.60/4.81 (mult(mult(a, c), mult(a, b)) = mult(a, mult(c, mult(a, b)))),
% 4.60/4.81 inference(unit_resolution,[status(thm)],[604, 4766])).
% 4.60/4.81 tff(4818,plain,
% 4.60/4.81 (mult(mult(a, c), mult(a, b)) = mult(a, mult(mult(a, b), c))),
% 4.60/4.81 inference(transitivity,[status(thm)],[4817, 4816, 3205, 4762, 4759, 4721, 89, 4719])).
% 4.60/4.81 tff(4819,plain,
% 4.60/4.81 ($false),
% 4.60/4.81 inference(unit_resolution,[status(thm)],[4763, 4818])).
% 4.60/4.81 tff(4820,plain,((mult(mult(a, mult(c, b)), a) = mult(a, mult(mult(c, b), a))) | (mult(mult(mult(a, c), b), a) = mult(mult(a, c), mult(b, a))) | (mult(mult(a, c), b) = mult(a, mult(c, b)))), inference(lemma,lemma(discharge,[]))).
% 4.60/4.81 tff(4821,plain,
% 4.60/4.81 (mult(mult(a, mult(c, b)), a) = mult(a, mult(mult(c, b), a))),
% 4.60/4.81 inference(unit_resolution,[status(thm)],[4820, 614, 41])).
% 4.60/4.81 tff(4822,plain,
% 4.60/4.81 (mult(a, mult(mult(c, b), a)) = mult(mult(a, mult(c, b)), a)),
% 4.60/4.81 inference(symmetry,[status(thm)],[4821])).
% 4.60/4.81 tff(4823,plain,
% 4.60/4.81 (mult(mult(a, mult(c, b)), a) = mult(a, mult(mult(c, b), a))),
% 4.60/4.81 inference(unit_resolution,[status(thm)],[4820, 41, 614])).
% 4.60/4.81 tff(4824,plain,
% 4.60/4.81 (~(mult(mult(mult(a, b), c), a) = mult(mult(a, b), mult(c, a)))),
% 4.60/4.81 inference(unit_resolution,[status(thm)],[1609, 91, 614, 4823])).
% 4.60/4.81 tff(4825,plain,
% 4.60/4.81 ((~(mult(mult(mult(a, b), a), c) = mult(mult(a, b), mult(a, c)))) | (~(mult(mult(mult(a, b), c), a) = mult(mult(a, b), mult(c, a))))),
% 4.60/4.81 inference(unit_resolution,[status(thm)],[185, 4824])).
% 4.60/4.81 tff(4826,plain,
% 4.60/4.81 (~((~(mult(mult(mult(a, b), a), c) = mult(mult(a, b), mult(c, a)))) | (~(mult(mult(mult(a, b), c), a) = mult(mult(a, b), mult(a, c)))))),
% 4.60/4.81 inference(unit_resolution,[status(thm)],[183, 4825])).
% 4.60/4.81 tff(4827,plain,
% 4.60/4.81 (mult(mult(mult(a, b), a), c) = mult(mult(a, b), mult(c, a))),
% 4.60/4.81 inference(unit_resolution,[status(thm)],[1690, 4826])).
% 4.60/4.81 tff(4828,plain,
% 4.60/4.81 (mult(mult(a, b), mult(c, a)) = mult(mult(mult(a, b), a), c)),
% 4.60/4.81 inference(symmetry,[status(thm)],[4827])).
% 4.60/4.81 tff(4829,plain,
% 4.60/4.81 (mult(mult(mult(a, b), c), a) = mult(mult(a, b), mult(a, c))),
% 4.60/4.81 inference(unit_resolution,[status(thm)],[178, 4826])).
% 4.60/4.81 tff(4830,plain,
% 4.60/4.81 ((mult(mult(mult(a, b), c), a) = mult(mult(a, b), mult(c, a))) <=> (mult(mult(a, b), mult(a, c)) = mult(mult(mult(a, b), a), c))),
% 4.60/4.81 inference(monotonicity,[status(thm)],[4829, 4828])).
% 4.60/4.81 tff(4831,plain,
% 4.60/4.81 ((mult(mult(mult(a, b), c), a) = mult(mult(a, b), mult(c, a))) <=> (mult(mult(mult(a, b), a), c) = mult(mult(a, b), mult(a, c)))),
% 4.60/4.81 inference(transitivity,[status(thm)],[4830, 3592])).
% 4.60/4.81 tff(4832,plain,
% 4.60/4.81 ((mult(mult(mult(a, b), a), c) = mult(mult(a, b), mult(a, c))) <=> (mult(mult(mult(a, b), c), a) = mult(mult(a, b), mult(c, a)))),
% 4.60/4.81 inference(symmetry,[status(thm)],[4831])).
% 4.60/4.81 tff(4833,assumption,(mult(mult(b, mult(c, a)), a) = mult(b, mult(mult(c, a), a))), introduced(assumption)).
% 4.60/4.81 tff(4834,plain,
% 4.60/4.81 (mult(b, mult(mult(a, c), a)) = mult(b, mult(mult(c, a), a))),
% 4.60/4.81 inference(transitivity,[status(thm)],[863, 3490, 4833])).
% 4.60/4.81 tff(4835,plain,
% 4.60/4.81 (ld(b, mult(b, mult(mult(a, c), a))) = ld(b, mult(b, mult(mult(c, a), a)))),
% 4.60/4.81 inference(monotonicity,[status(thm)],[4834])).
% 4.60/4.81 tff(4836,plain,
% 4.60/4.81 (ld(b, mult(b, mult(mult(c, a), a))) = ld(b, mult(b, mult(mult(a, c), a)))),
% 4.60/4.81 inference(symmetry,[status(thm)],[4835])).
% 4.60/4.81 tff(4837,plain,
% 4.60/4.81 (mult(mult(c, a), a) = mult(mult(a, c), a)),
% 4.60/4.81 inference(transitivity,[status(thm)],[3464, 4836, 3447])).
% 4.60/4.81 tff(4838,plain,
% 4.60/4.81 (rd(mult(mult(c, a), a), a) = rd(mult(mult(a, c), a), a)),
% 4.60/4.81 inference(monotonicity,[status(thm)],[4837])).
% 4.60/4.81 tff(4839,plain,
% 4.60/4.81 (mult(c, a) = mult(a, c)),
% 4.60/4.81 inference(transitivity,[status(thm)],[3508, 4838, 3445])).
% 4.60/4.81 tff(4840,plain,
% 4.60/4.81 (mult(mult(a, b), mult(c, a)) = mult(mult(a, b), mult(a, c))),
% 4.60/4.81 inference(monotonicity,[status(thm)],[4839])).
% 4.60/4.81 tff(4841,plain,
% 4.60/4.81 (mult(mult(a, b), mult(a, c)) = mult(mult(a, b), mult(c, a))),
% 4.60/4.81 inference(symmetry,[status(thm)],[4840])).
% 4.60/4.81 tff(4842,plain,
% 4.60/4.81 (mult(mult(mult(a, b), c), a) = mult(mult(a, b), mult(c, a))),
% 4.60/4.81 inference(transitivity,[status(thm)],[1708, 4841])).
% 4.60/4.81 tff(4843,plain,
% 4.60/4.81 ($false),
% 4.60/4.81 inference(unit_resolution,[status(thm)],[1687, 4842])).
% 4.60/4.81 tff(4844,plain,((~(mult(mult(b, mult(c, a)), a) = mult(b, mult(mult(c, a), a)))) | (mult(mult(mult(a, b), c), a) = mult(mult(a, b), mult(c, a))) | (~(mult(mult(b, a), c) = mult(b, mult(c, a))))), inference(lemma,lemma(discharge,[]))).
% 4.60/4.81 tff(4845,plain,
% 4.60/4.81 ((~(mult(mult(b, mult(c, a)), a) = mult(b, mult(mult(c, a), a)))) | (mult(mult(mult(a, b), c), a) = mult(mult(a, b), mult(c, a)))),
% 4.60/4.81 inference(unit_resolution,[status(thm)],[4844, 3427])).
% 4.60/4.81 tff(4846,plain,
% 4.60/4.81 (~(mult(mult(b, mult(c, a)), a) = mult(b, mult(mult(c, a), a)))),
% 4.60/4.81 inference(unit_resolution,[status(thm)],[4845, 4824])).
% 4.60/4.81 tff(4847,plain,
% 4.60/4.81 ((~(mult(mult(b, a), mult(c, a)) = mult(b, mult(a, mult(c, a))))) | (~(mult(mult(b, mult(c, a)), a) = mult(b, mult(mult(c, a), a))))),
% 4.60/4.81 inference(unit_resolution,[status(thm)],[3454, 4846])).
% 4.60/4.81 tff(4848,plain,
% 4.60/4.81 (mult(mult(b, mult(c, a)), a) = mult(b, mult(a, mult(c, a)))),
% 4.60/4.81 inference(unit_resolution,[status(thm)],[3488, 4847])).
% 4.60/4.81 tff(4849,plain,
% 4.60/4.81 (mult(a, mult(c, mult(b, a))) = mult(mult(a, b), mult(a, c))),
% 4.60/4.81 inference(transitivity,[status(thm)],[1055, 708, 108, 168])).
% 4.60/4.81 tff(4850,plain,
% 4.60/4.81 ((mult(mult(a, mult(b, a)), c) = mult(a, mult(c, mult(b, a)))) <=> (mult(mult(mult(a, b), a), c) = mult(mult(a, b), mult(a, c)))),
% 4.60/4.81 inference(monotonicity,[status(thm)],[1692, 4849])).
% 4.60/4.81 tff(4851,plain,
% 4.60/4.81 ((mult(mult(mult(a, b), a), c) = mult(mult(a, b), mult(a, c))) <=> (mult(mult(a, mult(b, a)), c) = mult(a, mult(c, mult(b, a))))),
% 4.60/4.81 inference(symmetry,[status(thm)],[4850])).
% 4.60/4.81 tff(4852,plain,
% 4.60/4.81 ((~(mult(mult(mult(a, b), a), c) = mult(mult(a, b), mult(a, c)))) <=> (~(mult(mult(a, mult(b, a)), c) = mult(a, mult(c, mult(b, a)))))),
% 4.60/4.81 inference(monotonicity,[status(thm)],[4851])).
% 4.60/4.81 tff(4853,plain,
% 4.60/4.81 (~(mult(mult(a, mult(b, a)), c) = mult(a, mult(c, mult(b, a))))),
% 4.60/4.81 inference(modus_ponens,[status(thm)],[2880, 4852])).
% 4.60/4.81 tff(4854,plain,
% 4.60/4.81 ((~(mult(mult(a, c), mult(b, a)) = mult(a, mult(mult(b, a), c)))) | (~(mult(mult(a, mult(b, a)), c) = mult(a, mult(c, mult(b, a)))))),
% 4.60/4.81 inference(unit_resolution,[status(thm)],[217, 4853])).
% 4.60/4.81 tff(4855,plain,
% 4.60/4.81 (~((~(mult(mult(a, c), mult(b, a)) = mult(a, mult(c, mult(b, a))))) | (~(mult(mult(a, mult(b, a)), c) = mult(a, mult(mult(b, a), c)))))),
% 4.60/4.81 inference(unit_resolution,[status(thm)],[132, 4854])).
% 4.60/4.81 tff(4856,plain,
% 4.60/4.81 (mult(mult(a, c), mult(b, a)) = mult(a, mult(c, mult(b, a)))),
% 4.60/4.81 inference(unit_resolution,[status(thm)],[120, 4855])).
% 4.60/4.81 tff(4857,plain,
% 4.60/4.81 (mult(b, mult(a, mult(c, a))) = mult(mult(b, mult(c, a)), a)),
% 4.60/4.81 inference(symmetry,[status(thm)],[3635])).
% 4.60/4.81 tff(4858,plain,
% 4.60/4.81 (mult(b, mult(a, mult(c, a))) = mult(b, mult(mult(a, c), a))),
% 4.60/4.81 inference(transitivity,[status(thm)],[4857, 4657, 862])).
% 4.60/4.81 tff(4859,plain,
% 4.60/4.81 (ld(b, mult(b, mult(a, mult(c, a)))) = ld(b, mult(b, mult(mult(a, c), a)))),
% 4.60/4.81 inference(monotonicity,[status(thm)],[4858])).
% 4.60/4.81 tff(4860,plain,
% 4.60/4.81 (mult(a, mult(c, a)) = mult(mult(a, c), a)),
% 4.60/4.81 inference(transitivity,[status(thm)],[3780, 4859, 3447])).
% 4.60/4.81 tff(4861,plain,
% 4.60/4.81 (mult(mult(a, mult(c, a)), b) = mult(mult(mult(a, c), a), b)),
% 4.60/4.81 inference(monotonicity,[status(thm)],[4860])).
% 4.60/4.81 tff(4862,plain,
% 4.60/4.81 (mult(a, mult(c, mult(b, a))) = mult(a, mult(mult(c, a), b))),
% 4.60/4.81 inference(transitivity,[status(thm)],[527, 1720, 3817, 742])).
% 4.60/4.81 tff(4863,plain,
% 4.60/4.81 (ld(a, mult(a, mult(c, mult(b, a)))) = ld(a, mult(a, mult(mult(c, a), b)))),
% 4.60/4.81 inference(monotonicity,[status(thm)],[4862])).
% 4.60/4.81 tff(4864,plain,
% 4.60/4.81 (ld(a, mult(a, mult(mult(c, a), b))) = ld(a, mult(a, mult(c, mult(b, a))))),
% 4.60/4.81 inference(symmetry,[status(thm)],[4863])).
% 4.60/4.81 tff(4865,plain,
% 4.60/4.81 (mult(c, mult(a, b)) = mult(mult(c, a), b)),
% 4.60/4.81 inference(symmetry,[status(thm)],[2102])).
% 4.60/4.81 tff(4866,plain,
% 4.60/4.81 (mult(c, mult(a, b)) = mult(c, mult(b, a))),
% 4.60/4.81 inference(transitivity,[status(thm)],[4865, 210, 4864, 531])).
% 4.60/4.81 tff(4867,plain,
% 4.60/4.81 ((mult(mult(c, b), a) = mult(c, mult(a, b))) <=> (mult(mult(c, b), a) = mult(c, mult(b, a)))),
% 4.60/4.81 inference(monotonicity,[status(thm)],[4866])).
% 4.60/4.81 tff(4868,plain,
% 4.60/4.81 ((mult(mult(c, b), a) = mult(c, mult(b, a))) <=> (mult(mult(c, b), a) = mult(c, mult(a, b)))),
% 4.60/4.81 inference(symmetry,[status(thm)],[4867])).
% 4.60/4.81 tff(4869,plain,
% 4.60/4.81 (mult(mult(c, b), a) = mult(c, mult(a, b))),
% 4.60/4.81 inference(modus_ponens,[status(thm)],[2100, 4868])).
% 4.60/4.81 tff(4870,plain,
% 4.60/4.81 ($false),
% 4.60/4.81 inference(unit_resolution,[status(thm)],[2097, 4869])).
% 4.60/4.81 tff(4871,plain,((mult(mult(c, b), a) = mult(c, mult(a, b))) | (~(mult(mult(a, mult(c, a)), b) = mult(a, mult(mult(c, a), b)))) | (~(mult(mult(mult(a, c), a), b) = mult(mult(a, c), mult(b, a)))) | (~(mult(mult(a, c), mult(b, a)) = mult(a, mult(c, mult(b, a))))) | (~(mult(mult(b, mult(c, a)), a) = mult(b, mult(a, mult(c, a))))) | (~(mult(mult(b, a), c) = mult(b, mult(c, a))))), inference(lemma,lemma(discharge,[]))).
% 4.60/4.81 tff(4872,plain,
% 4.60/4.81 ((mult(mult(c, b), a) = mult(c, mult(a, b))) | (~(mult(mult(a, mult(c, a)), b) = mult(a, mult(mult(c, a), b)))) | (~(mult(mult(mult(a, c), a), b) = mult(mult(a, c), mult(b, a)))) | (~(mult(mult(a, c), mult(b, a)) = mult(a, mult(c, mult(b, a))))) | (~(mult(mult(b, mult(c, a)), a) = mult(b, mult(a, mult(c, a)))))),
% 4.60/4.81 inference(unit_resolution,[status(thm)],[4871, 3427])).
% 4.60/4.81 tff(4873,plain,
% 4.60/4.81 (~(mult(mult(a, mult(c, a)), b) = mult(a, mult(mult(c, a), b)))),
% 4.60/4.81 inference(unit_resolution,[status(thm)],[4872, 4856, 3635, 1278, 1362])).
% 4.60/4.81 tff(4874,plain,
% 4.60/4.81 ((~(mult(mult(a, b), mult(c, a)) = mult(a, mult(b, mult(c, a))))) | (~(mult(mult(a, mult(c, a)), b) = mult(a, mult(mult(c, a), b))))),
% 4.60/4.81 inference(unit_resolution,[status(thm)],[739, 4873])).
% 4.60/4.81 tff(4875,plain,
% 4.60/4.81 (~((~(mult(mult(a, b), mult(c, a)) = mult(a, mult(mult(c, a), b)))) | (~(mult(mult(a, mult(c, a)), b) = mult(a, mult(b, mult(c, a))))))),
% 4.60/4.81 inference(unit_resolution,[status(thm)],[201, 4874])).
% 4.60/4.81 tff(4876,plain,
% 4.60/4.81 (mult(mult(a, mult(c, a)), b) = mult(a, mult(b, mult(c, a)))),
% 4.60/4.81 inference(unit_resolution,[status(thm)],[735, 4875])).
% 4.60/4.81 tff(4877,plain,
% 4.60/4.81 (mult(a, mult(b, mult(c, a))) = mult(mult(a, mult(c, a)), b)),
% 4.60/4.81 inference(symmetry,[status(thm)],[4876])).
% 4.60/4.81 tff(4878,plain,
% 4.60/4.81 (mult(a, mult(mult(b, a), c)) = mult(a, mult(b, mult(c, a)))),
% 4.60/4.81 inference(monotonicity,[status(thm)],[3427])).
% 4.60/4.81 tff(4879,plain,
% 4.60/4.81 (mult(mult(a, mult(b, a)), c) = mult(a, mult(mult(b, a), c))),
% 4.60/4.81 inference(unit_resolution,[status(thm)],[1395, 4855])).
% 4.60/4.81 tff(4880,plain,
% 4.60/4.81 (mult(mult(mult(a, b), a), c) = mult(mult(a, b), mult(a, c))),
% 4.60/4.81 inference(transitivity,[status(thm)],[220, 4879, 4878, 4877, 4861, 1362, 4856, 1055, 708, 108, 168])).
% 4.60/4.81 tff(4881,plain,
% 4.60/4.81 ($false),
% 4.60/4.81 inference(unit_resolution,[status(thm)],[2880, 4880])).
% 4.60/4.81 tff(4882,plain,((mult(mult(c, a), b) = mult(c, mult(b, a))) | (mult(mult(mult(a, b), a), c) = mult(mult(a, b), mult(a, c))) | (~(mult(mult(mult(a, c), a), b) = mult(mult(a, c), mult(b, a)))) | (~(mult(mult(a, mult(c, b)), a) = mult(a, mult(mult(c, b), a)))) | (~(mult(mult(mult(a, b), c), a) = mult(mult(a, b), mult(a, c)))) | (~(mult(mult(a, b), c) = mult(a, mult(c, b)))) | (~(mult(mult(b, mult(c, a)), a) = mult(b, mult(a, mult(c, a))))) | (~(mult(mult(a, b), a) = mult(a, mult(b, a))))), inference(lemma,lemma(discharge,[]))).
% 4.60/4.81 tff(4883,plain,
% 4.60/4.81 (mult(mult(mult(a, b), a), c) = mult(mult(a, b), mult(a, c))),
% 4.60/4.81 inference(unit_resolution,[status(thm)],[4882, 4829, 1526, 40, 4823, 91, 4848, 1568])).
% 4.60/4.81 tff(4884,plain,
% 4.60/4.81 (mult(mult(mult(a, b), c), a) = mult(mult(a, b), mult(c, a))),
% 4.60/4.81 inference(modus_ponens,[status(thm)],[4883, 4832])).
% 4.60/4.81 tff(4885,plain,
% 4.60/4.81 ($false),
% 4.60/4.81 inference(unit_resolution,[status(thm)],[4824, 4884])).
% 4.60/4.81 tff(4886,plain,((mult(mult(a, c), b) = mult(a, mult(c, b))) | (mult(mult(c, a), b) = mult(c, mult(b, a))) | (mult(mult(mult(a, c), b), a) = mult(mult(a, c), mult(b, a)))), inference(lemma,lemma(discharge,[]))).
% 4.60/4.81 tff(4887,plain,
% 4.60/4.81 (mult(mult(a, c), b) = mult(a, mult(c, b))),
% 4.60/4.81 inference(unit_resolution,[status(thm)],[4886, 40, 614])).
% 4.60/4.81 tff(4888,plain,
% 4.60/4.81 ($false),
% 4.60/4.81 inference(unit_resolution,[status(thm)],[614, 3582])).
% 4.60/4.81 tff(4889,plain,((~(mult(mult(mult(a, c), mult(b, a)), b) = mult(mult(a, c), mult(mult(b, a), b)))) | (mult(mult(mult(a, c), b), a) = mult(mult(a, c), mult(b, a)))), inference(lemma,lemma(discharge,[]))).
% 4.60/4.81 tff(4890,plain,
% 4.60/4.81 (~(mult(mult(mult(a, c), mult(b, a)), b) = mult(mult(a, c), mult(mult(b, a), b)))),
% 4.60/4.81 inference(unit_resolution,[status(thm)],[4889, 614])).
% 4.60/4.82 tff(4891,plain,
% 4.60/4.82 ((mult(c, mult(b, a)) = mult(mult(c, a), b)) <=> (mult(mult(c, a), b) = mult(c, mult(b, a)))),
% 4.60/4.82 inference(commutativity,[status(thm)],[])).
% 4.60/4.82 tff(4892,plain,
% 4.60/4.82 ((mult(mult(c, b), a) = mult(c, mult(a, b))) <=> (mult(c, mult(b, a)) = mult(mult(c, a), b))),
% 4.60/4.82 inference(monotonicity,[status(thm)],[716, 481])).
% 4.60/4.82 tff(4893,plain,
% 4.60/4.82 ((mult(mult(c, b), a) = mult(c, mult(a, b))) <=> (mult(mult(c, a), b) = mult(c, mult(b, a)))),
% 4.60/4.82 inference(transitivity,[status(thm)],[4892, 4891])).
% 4.60/4.82 tff(4894,plain,
% 4.60/4.82 ((mult(mult(c, a), b) = mult(c, mult(b, a))) <=> (mult(mult(c, b), a) = mult(c, mult(a, b)))),
% 4.60/4.82 inference(symmetry,[status(thm)],[4893])).
% 4.60/4.82 tff(4895,plain,
% 4.60/4.82 ((~(mult(mult(c, a), b) = mult(c, mult(b, a)))) <=> (~(mult(mult(c, b), a) = mult(c, mult(a, b))))),
% 4.60/4.82 inference(monotonicity,[status(thm)],[4894])).
% 4.60/4.82 tff(4896,plain,
% 4.60/4.82 (~(mult(mult(c, b), a) = mult(c, mult(a, b)))),
% 4.60/4.82 inference(modus_ponens,[status(thm)],[40, 4895])).
% 4.60/4.82 tff(4897,plain,
% 4.60/4.82 ((mult(a, mult(b, c)) = mult(mult(a, c), b)) <=> (mult(mult(a, c), b) = mult(a, mult(b, c)))),
% 4.60/4.82 inference(commutativity,[status(thm)],[])).
% 4.60/4.82 tff(4898,plain,
% 4.60/4.82 (mult(a, mult(c, b)) = mult(mult(a, c), b)),
% 4.60/4.82 inference(symmetry,[status(thm)],[4887])).
% 4.60/4.82 tff(4899,plain,
% 4.60/4.82 ((mult(mult(a, b), c) = mult(a, mult(c, b))) <=> (mult(a, mult(b, c)) = mult(mult(a, c), b))),
% 4.60/4.82 inference(monotonicity,[status(thm)],[1790, 4898])).
% 4.60/4.82 tff(4900,plain,
% 4.60/4.82 ((mult(mult(a, b), c) = mult(a, mult(c, b))) <=> (mult(mult(a, c), b) = mult(a, mult(b, c)))),
% 4.60/4.82 inference(transitivity,[status(thm)],[4899, 4897])).
% 4.60/4.82 tff(4901,plain,
% 4.60/4.82 ((~(mult(mult(a, b), c) = mult(a, mult(c, b)))) <=> (~(mult(mult(a, c), b) = mult(a, mult(b, c))))),
% 4.60/4.82 inference(monotonicity,[status(thm)],[4900])).
% 4.60/4.82 tff(4902,plain,
% 4.60/4.82 (~(mult(mult(a, c), b) = mult(a, mult(b, c)))),
% 4.60/4.82 inference(modus_ponens,[status(thm)],[1787, 4901])).
% 4.60/4.82 tff(4903,assumption,(~((~(mult(mult(b, c), a) = mult(b, mult(c, a)))) | (~(mult(mult(b, a), c) = mult(b, mult(a, c)))))), introduced(assumption)).
% 4.60/4.82 tff(4904,plain,
% 4.60/4.82 (mult(mult(b, c), a) = mult(b, mult(c, a))),
% 4.60/4.82 inference(unit_resolution,[status(thm)],[36, 4903])).
% 4.60/4.82 tff(4905,plain,
% 4.60/4.82 (mult(mult(b, a), c) = mult(b, mult(a, c))),
% 4.60/4.82 inference(unit_resolution,[status(thm)],[98, 4903])).
% 4.60/4.82 tff(4906,plain,
% 4.60/4.82 ($false),
% 4.60/4.82 inference(unit_resolution,[status(thm)],[1920, 4905, 4904, 40, 788, 1787])).
% 4.60/4.82 tff(4907,plain,(((~(mult(mult(b, c), a) = mult(b, mult(c, a)))) | (~(mult(mult(b, a), c) = mult(b, mult(a, c))))) | (mult(mult(c, a), b) = mult(c, mult(b, a))) | (~(mult(mult(a, c), b) = mult(a, mult(c, b)))) | (mult(mult(a, b), c) = mult(a, mult(c, b)))), inference(lemma,lemma(discharge,[]))).
% 4.60/4.82 tff(4908,plain,
% 4.60/4.82 ((~(mult(mult(b, c), a) = mult(b, mult(c, a)))) | (~(mult(mult(b, a), c) = mult(b, mult(a, c))))),
% 4.60/4.82 inference(unit_resolution,[status(thm)],[4907, 1787, 4887, 40])).
% 4.60/4.82 tff(4909,plain,
% 4.60/4.82 (~((~(mult(mult(b, c), a) = mult(b, mult(a, c)))) | (~(mult(mult(b, a), c) = mult(b, mult(c, a)))))),
% 4.60/4.82 inference(unit_resolution,[status(thm)],[34, 4908])).
% 4.60/4.82 tff(4910,plain,
% 4.60/4.82 (mult(mult(b, c), a) = mult(b, mult(a, c))),
% 4.60/4.82 inference(unit_resolution,[status(thm)],[744, 4909])).
% 4.60/4.82 tff(4911,plain,
% 4.60/4.82 ((mult(mult(b, a), c) = mult(b, mult(a, c))) <=> (mult(b, mult(c, a)) = mult(b, mult(a, c)))),
% 4.60/4.82 inference(monotonicity,[status(thm)],[3427])).
% 4.60/4.82 tff(4912,plain,
% 4.60/4.82 ((mult(b, mult(c, a)) = mult(b, mult(a, c))) <=> (mult(mult(b, a), c) = mult(b, mult(a, c)))),
% 4.60/4.82 inference(symmetry,[status(thm)],[4911])).
% 4.60/4.82 tff(4913,plain,
% 4.60/4.82 ((~(mult(mult(b, c), a) = mult(b, mult(c, a)))) | (~(mult(mult(b, a), c) = mult(b, mult(a, c))))),
% 4.60/4.82 inference(unit_resolution,[status(thm)],[4907, 1787, 788, 40])).
% 4.60/4.82 tff(4914,plain,
% 4.60/4.82 (~((~(mult(mult(b, c), a) = mult(b, mult(a, c)))) | (~(mult(mult(b, a), c) = mult(b, mult(c, a)))))),
% 4.60/4.82 inference(unit_resolution,[status(thm)],[34, 4913])).
% 4.60/4.82 tff(4915,plain,
% 4.60/4.82 (mult(mult(b, c), a) = mult(b, mult(a, c))),
% 4.60/4.82 inference(unit_resolution,[status(thm)],[744, 4914])).
% 4.60/4.82 tff(4916,plain,
% 4.60/4.82 ((mult(mult(b, c), a) = mult(b, mult(c, a))) <=> (mult(b, mult(a, c)) = mult(b, mult(c, a)))),
% 4.60/4.82 inference(monotonicity,[status(thm)],[4915])).
% 4.60/4.82 tff(4917,plain,
% 4.60/4.82 ((mult(mult(b, c), a) = mult(b, mult(c, a))) <=> (mult(b, mult(c, a)) = mult(b, mult(a, c)))),
% 4.60/4.82 inference(transitivity,[status(thm)],[4916, 727])).
% 4.60/4.82 tff(4918,plain,
% 4.60/4.82 ((mult(mult(b, c), a) = mult(b, mult(c, a))) <=> (mult(mult(b, a), c) = mult(b, mult(a, c)))),
% 4.60/4.82 inference(transitivity,[status(thm)],[4917, 4912])).
% 4.60/4.82 tff(4919,plain,
% 4.60/4.82 (mult(mult(b, a), c) = mult(b, mult(a, c))),
% 4.60/4.82 inference(modus_ponens,[status(thm)],[102, 4918])).
% 4.60/4.82 tff(4920,plain,
% 4.60/4.82 (~(mult(mult(b, a), c) = mult(b, mult(a, c)))),
% 4.60/4.82 inference(unit_resolution,[status(thm)],[1920, 102, 40, 788, 1787])).
% 4.60/4.82 tff(4921,plain,
% 4.60/4.82 ($false),
% 4.60/4.82 inference(unit_resolution,[status(thm)],[4920, 4919])).
% 4.60/4.82 tff(4922,plain,((~(mult(mult(b, c), a) = mult(b, mult(c, a)))) | (mult(mult(c, a), b) = mult(c, mult(b, a))) | (~(mult(mult(a, c), b) = mult(a, mult(c, b)))) | (mult(mult(a, b), c) = mult(a, mult(c, b)))), inference(lemma,lemma(discharge,[]))).
% 4.60/4.82 tff(4923,plain,
% 4.60/4.82 (~(mult(mult(b, c), a) = mult(b, mult(c, a)))),
% 4.60/4.82 inference(unit_resolution,[status(thm)],[4922, 1787, 4887, 40])).
% 4.60/4.82 tff(4924,plain,
% 4.60/4.82 ((~(mult(mult(b, a), mult(c, a)) = mult(b, mult(a, mult(c, a))))) | (~(mult(mult(b, mult(c, a)), a) = mult(b, mult(mult(c, a), a))))),
% 4.60/4.82 inference(unit_resolution,[status(thm)],[4664, 4923, 4910])).
% 4.60/4.82 tff(4925,plain,
% 4.60/4.82 (mult(mult(b, mult(c, a)), a) = mult(b, mult(a, mult(c, a)))),
% 4.60/4.82 inference(unit_resolution,[status(thm)],[3488, 4924])).
% 4.60/4.82 tff(4926,plain,
% 4.60/4.82 ((mult(mult(a, b), mult(c, a)) = mult(a, mult(b, mult(c, a)))) <=> (mult(mult(mult(a, b), c), a) = mult(a, mult(b, mult(c, a))))),
% 4.60/4.82 inference(monotonicity,[status(thm)],[1873])).
% 4.60/4.82 tff(4927,plain,
% 4.60/4.82 ((mult(mult(a, b), mult(c, a)) = mult(a, mult(b, mult(c, a)))) <=> (mult(a, mult(b, mult(c, a))) = mult(mult(mult(a, b), c), a))),
% 4.60/4.82 inference(transitivity,[status(thm)],[4926, 15])).
% 4.60/4.82 tff(4928,plain,
% 4.60/4.82 ((mult(a, mult(b, mult(c, a))) = mult(mult(mult(a, b), c), a)) <=> (mult(mult(a, b), mult(c, a)) = mult(a, mult(b, mult(c, a))))),
% 4.60/4.82 inference(symmetry,[status(thm)],[4927])).
% 4.60/4.82 tff(4929,plain,
% 4.60/4.82 ((~(mult(a, mult(b, mult(c, a))) = mult(mult(mult(a, b), c), a))) <=> (~(mult(mult(a, b), mult(c, a)) = mult(a, mult(b, mult(c, a)))))),
% 4.60/4.82 inference(monotonicity,[status(thm)],[4928])).
% 4.60/4.82 tff(4930,plain,
% 4.60/4.82 (~(mult(mult(a, b), mult(c, a)) = mult(a, mult(b, mult(c, a))))),
% 4.60/4.82 inference(modus_ponens,[status(thm)],[194, 4929])).
% 4.60/4.82 tff(4931,plain,
% 4.60/4.82 ((~(mult(mult(a, b), mult(c, a)) = mult(a, mult(b, mult(c, a))))) | (~(mult(mult(a, mult(c, a)), b) = mult(a, mult(mult(c, a), b))))),
% 4.60/4.82 inference(unit_resolution,[status(thm)],[196, 4930])).
% 4.60/4.82 tff(4932,plain,
% 4.60/4.82 (~((~(mult(mult(a, b), mult(c, a)) = mult(a, mult(mult(c, a), b)))) | (~(mult(mult(a, mult(c, a)), b) = mult(a, mult(b, mult(c, a))))))),
% 4.60/4.82 inference(unit_resolution,[status(thm)],[201, 4931])).
% 4.60/4.82 tff(4933,plain,
% 4.60/4.82 (mult(mult(a, b), mult(c, a)) = mult(a, mult(mult(c, a), b))),
% 4.60/4.82 inference(unit_resolution,[status(thm)],[203, 4932])).
% 4.60/4.82 tff(4934,plain,
% 4.60/4.82 (mult(a, mult(mult(c, a), b)) = mult(mult(a, b), mult(c, a))),
% 4.60/4.82 inference(symmetry,[status(thm)],[4933])).
% 4.60/4.82 tff(4935,plain,
% 4.60/4.82 (~(mult(mult(a, mult(b, a)), c) = mult(a, mult(c, mult(b, a))))),
% 4.60/4.82 inference(unit_resolution,[status(thm)],[2153, 342, 219, 248])).
% 4.60/4.82 tff(4936,plain,
% 4.60/4.82 ((~(mult(mult(a, c), mult(b, a)) = mult(a, mult(mult(b, a), c)))) | (~(mult(mult(a, mult(b, a)), c) = mult(a, mult(c, mult(b, a)))))),
% 4.60/4.82 inference(unit_resolution,[status(thm)],[217, 4935])).
% 4.60/4.82 tff(4937,plain,
% 4.60/4.82 (~((~(mult(mult(a, c), mult(b, a)) = mult(a, mult(c, mult(b, a))))) | (~(mult(mult(a, mult(b, a)), c) = mult(a, mult(mult(b, a), c)))))),
% 4.60/4.82 inference(unit_resolution,[status(thm)],[132, 4936])).
% 4.60/4.82 tff(4938,plain,
% 4.60/4.82 (mult(mult(a, c), mult(b, a)) = mult(a, mult(c, mult(b, a)))),
% 4.60/4.82 inference(unit_resolution,[status(thm)],[120, 4937])).
% 4.60/4.82 tff(4939,plain,
% 4.60/4.82 (mult(mult(a, mult(c, a)), b) = mult(a, mult(b, mult(c, a)))),
% 4.60/4.82 inference(unit_resolution,[status(thm)],[735, 4932])).
% 4.60/4.82 tff(4940,plain,
% 4.60/4.82 (mult(a, mult(b, mult(c, a))) = mult(mult(a, mult(c, a)), b)),
% 4.60/4.82 inference(symmetry,[status(thm)],[4939])).
% 4.60/4.82 tff(4941,plain,
% 4.60/4.82 (mult(a, mult(b, mult(c, a))) = mult(mult(mult(a, b), c), a)),
% 4.60/4.82 inference(transitivity,[status(thm)],[4940, 3782, 1362, 4938, 2096, 4934, 1873])).
% 4.60/4.82 tff(4942,plain,
% 4.60/4.82 ($false),
% 4.60/4.82 inference(unit_resolution,[status(thm)],[194, 4941])).
% 4.60/4.82 tff(4943,plain,((~(mult(mult(c, a), b) = mult(c, mult(b, a)))) | (~(mult(mult(mult(a, c), a), b) = mult(mult(a, c), mult(b, a)))) | (~(mult(mult(b, mult(c, a)), a) = mult(b, mult(a, mult(c, a))))) | (~(mult(mult(b, a), c) = mult(b, mult(c, a)))) | (~(mult(mult(a, b), a) = mult(a, mult(b, a)))) | (mult(mult(mult(a, b), c), a) = mult(mult(a, b), mult(a, c)))), inference(lemma,lemma(discharge,[]))).
% 4.60/4.82 tff(4944,plain,
% 4.60/4.82 (~(mult(mult(c, a), b) = mult(c, mult(b, a)))),
% 4.60/4.82 inference(unit_resolution,[status(thm)],[4943, 248, 3635, 3448, 1568, 1526])).
% 4.60/4.82 tff(4945,plain,
% 4.60/4.82 ((~(mult(mult(c, b), a) = mult(c, mult(a, b)))) | (~(mult(mult(c, a), b) = mult(c, mult(b, a))))),
% 4.60/4.82 inference(unit_resolution,[status(thm)],[303, 4944])).
% 4.60/4.82 tff(4946,plain,
% 4.60/4.82 (~((~(mult(mult(c, b), a) = mult(c, mult(b, a)))) | (~(mult(mult(c, a), b) = mult(c, mult(a, b)))))),
% 4.60/4.82 inference(unit_resolution,[status(thm)],[301, 4945])).
% 4.60/4.82 tff(4947,plain,
% 4.60/4.82 (mult(mult(c, a), b) = mult(c, mult(a, b))),
% 4.60/4.82 inference(unit_resolution,[status(thm)],[296, 4946])).
% 4.60/4.82 tff(4948,plain,
% 4.60/4.82 (mult(c, mult(a, b)) = mult(mult(c, a), b)),
% 4.60/4.82 inference(symmetry,[status(thm)],[4947])).
% 4.60/4.82 tff(4949,plain,
% 4.60/4.82 (mult(a, mult(c, mult(a, b))) = mult(a, mult(mult(c, a), b))),
% 4.60/4.82 inference(monotonicity,[status(thm)],[4948])).
% 4.60/4.82 tff(4950,plain,
% 4.60/4.82 (mult(a, mult(c, mult(a, b))) = mult(mult(a, b), mult(c, a))),
% 4.60/4.82 inference(transitivity,[status(thm)],[4949, 4934])).
% 4.60/4.82 tff(4951,plain,
% 4.60/4.82 (mult(mult(mult(a, b), a), c) = mult(mult(a, mult(b, a)), c)),
% 4.60/4.82 inference(monotonicity,[status(thm)],[1568])).
% 4.60/4.82 tff(4952,plain,
% 4.60/4.82 (mult(mult(a, mult(b, a)), c) = mult(mult(mult(a, b), a), c)),
% 4.60/4.82 inference(symmetry,[status(thm)],[4951])).
% 4.60/4.82 tff(4953,plain,
% 4.60/4.82 ((mult(mult(a, b), mult(c, a)) = mult(mult(mult(a, b), a), c)) <=> (mult(mult(mult(a, b), a), c) = mult(mult(a, b), mult(c, a)))),
% 4.60/4.82 inference(commutativity,[status(thm)],[])).
% 4.60/4.82 tff(4954,plain,
% 4.60/4.82 ((mult(mult(mult(a, b), c), a) = mult(mult(a, b), mult(a, c))) <=> (mult(mult(a, b), mult(c, a)) = mult(mult(mult(a, b), a), c))),
% 4.60/4.82 inference(monotonicity,[status(thm)],[275, 3186])).
% 4.60/4.82 tff(4955,plain,
% 4.60/4.82 ((mult(mult(mult(a, b), c), a) = mult(mult(a, b), mult(a, c))) <=> (mult(mult(mult(a, b), a), c) = mult(mult(a, b), mult(c, a)))),
% 4.60/4.82 inference(transitivity,[status(thm)],[4954, 4953])).
% 4.60/4.82 tff(4956,plain,
% 4.60/4.82 ((~(mult(mult(mult(a, b), c), a) = mult(mult(a, b), mult(a, c)))) <=> (~(mult(mult(mult(a, b), a), c) = mult(mult(a, b), mult(c, a))))),
% 4.60/4.82 inference(monotonicity,[status(thm)],[4955])).
% 4.60/4.82 tff(4957,plain,
% 4.60/4.82 (~(mult(mult(mult(a, b), a), c) = mult(mult(a, b), mult(c, a)))),
% 4.60/4.82 inference(modus_ponens,[status(thm)],[248, 4956])).
% 4.60/4.82 tff(4958,plain,
% 4.60/4.82 (mult(mult(c, b), a) = mult(c, mult(b, a))),
% 4.60/4.82 inference(unit_resolution,[status(thm)],[543, 4946])).
% 4.60/4.82 tff(4959,plain,
% 4.60/4.82 (mult(a, mult(c, mult(a, b))) = mult(mult(a, b), mult(c, a))),
% 4.60/4.82 inference(transitivity,[status(thm)],[272, 680])).
% 4.60/4.82 tff(4960,plain,
% 4.60/4.82 (mult(a, mult(c, mult(b, a))) = mult(mult(mult(a, c), b), a)),
% 4.60/4.82 inference(transitivity,[status(thm)],[1063, 2845, 2195])).
% 4.60/4.82 tff(4961,plain,
% 4.60/4.82 ((mult(mult(a, c), mult(b, a)) = mult(a, mult(c, mult(b, a)))) <=> (mult(mult(a, c), mult(b, a)) = mult(mult(mult(a, c), b), a))),
% 4.60/4.82 inference(monotonicity,[status(thm)],[4960])).
% 4.60/4.82 tff(4962,plain,
% 4.60/4.82 ((mult(mult(a, c), mult(b, a)) = mult(a, mult(c, mult(b, a)))) <=> (mult(mult(mult(a, c), b), a) = mult(mult(a, c), mult(b, a)))),
% 4.60/4.82 inference(transitivity,[status(thm)],[4961, 2594])).
% 4.60/4.82 tff(4963,plain,
% 4.60/4.82 ((mult(mult(mult(a, c), b), a) = mult(mult(a, c), mult(b, a))) <=> (mult(mult(a, c), mult(b, a)) = mult(a, mult(c, mult(b, a))))),
% 4.60/4.82 inference(symmetry,[status(thm)],[4962])).
% 4.60/4.82 tff(4964,plain,
% 4.60/4.82 ((~(mult(mult(mult(a, c), b), a) = mult(mult(a, c), mult(b, a)))) <=> (~(mult(mult(a, c), mult(b, a)) = mult(a, mult(c, mult(b, a)))))),
% 4.60/4.82 inference(monotonicity,[status(thm)],[4963])).
% 4.60/4.82 tff(4965,plain,
% 4.60/4.82 (~(mult(mult(a, c), mult(b, a)) = mult(a, mult(c, mult(b, a))))),
% 4.60/4.82 inference(modus_ponens,[status(thm)],[614, 4964])).
% 4.60/4.82 tff(4966,plain,
% 4.60/4.82 ((~(mult(mult(a, c), mult(b, a)) = mult(a, mult(c, mult(b, a))))) | (~(mult(mult(a, mult(b, a)), c) = mult(a, mult(mult(b, a), c))))),
% 4.60/4.82 inference(unit_resolution,[status(thm)],[120, 4965])).
% 4.60/4.82 tff(4967,plain,
% 4.60/4.82 (~((~(mult(mult(a, c), mult(b, a)) = mult(a, mult(mult(b, a), c)))) | (~(mult(mult(a, mult(b, a)), c) = mult(a, mult(c, mult(b, a))))))),
% 4.60/4.82 inference(unit_resolution,[status(thm)],[132, 4966])).
% 4.60/4.82 tff(4968,plain,
% 4.60/4.82 (mult(mult(a, mult(b, a)), c) = mult(a, mult(c, mult(b, a)))),
% 4.60/4.82 inference(unit_resolution,[status(thm)],[217, 4967])).
% 4.60/4.82 tff(4969,plain,
% 4.60/4.82 (mult(a, mult(c, mult(b, a))) = mult(mult(a, mult(b, a)), c)),
% 4.60/4.82 inference(symmetry,[status(thm)],[4968])).
% 4.60/4.82 tff(4970,plain,
% 4.60/4.82 (mult(mult(a, c), mult(a, b)) = mult(mult(mult(a, b), a), c)),
% 4.60/4.82 inference(transitivity,[status(thm)],[2160, 2196, 2842, 1583, 4969, 4952])).
% 4.60/4.82 tff(4971,plain,
% 4.60/4.82 ((mult(mult(a, c), mult(a, b)) = mult(a, mult(c, mult(a, b)))) <=> (mult(mult(mult(a, b), a), c) = mult(mult(a, b), mult(c, a)))),
% 4.60/4.82 inference(monotonicity,[status(thm)],[4970, 4959])).
% 4.60/4.82 tff(4972,plain,
% 4.60/4.82 ((mult(mult(mult(a, b), a), c) = mult(mult(a, b), mult(c, a))) <=> (mult(mult(a, c), mult(a, b)) = mult(a, mult(c, mult(a, b))))),
% 4.60/4.82 inference(symmetry,[status(thm)],[4971])).
% 4.60/4.82 tff(4973,plain,
% 4.60/4.82 ((~(mult(mult(mult(a, b), a), c) = mult(mult(a, b), mult(c, a)))) <=> (~(mult(mult(a, c), mult(a, b)) = mult(a, mult(c, mult(a, b)))))),
% 4.60/4.82 inference(monotonicity,[status(thm)],[4972])).
% 4.60/4.82 tff(4974,assumption,(~(mult(mult(mult(a, b), a), c) = mult(mult(a, b), mult(c, a)))), introduced(assumption)).
% 4.60/4.82 tff(4975,plain,
% 4.60/4.82 (~(mult(mult(a, c), mult(a, b)) = mult(a, mult(c, mult(a, b))))),
% 4.60/4.82 inference(modus_ponens,[status(thm)],[4974, 4973])).
% 4.60/4.82 tff(4976,plain,
% 4.60/4.82 ((~(mult(mult(a, mult(a, b)), c) = mult(a, mult(mult(a, b), c)))) | (~(mult(mult(a, c), mult(a, b)) = mult(a, mult(c, mult(a, b)))))),
% 4.60/4.82 inference(unit_resolution,[status(thm)],[604, 4975])).
% 4.60/4.82 tff(4977,plain,
% 4.60/4.82 (~((~(mult(mult(a, mult(a, b)), c) = mult(a, mult(c, mult(a, b))))) | (~(mult(mult(a, c), mult(a, b)) = mult(a, mult(mult(a, b), c)))))),
% 4.60/4.82 inference(unit_resolution,[status(thm)],[292, 4976])).
% 4.60/4.82 tff(4978,plain,
% 4.60/4.82 (mult(mult(a, c), mult(a, b)) = mult(a, mult(mult(a, b), c))),
% 4.60/4.82 inference(unit_resolution,[status(thm)],[601, 4977])).
% 4.60/4.82 tff(4979,plain,
% 4.60/4.82 (mult(a, mult(mult(a, b), c)) = mult(mult(a, c), mult(a, b))),
% 4.60/4.82 inference(symmetry,[status(thm)],[4978])).
% 4.60/4.82 tff(4980,plain,
% 4.60/4.82 (mult(a, mult(a, mult(b, c))) = mult(mult(a, c), mult(a, b))),
% 4.60/4.82 inference(transitivity,[status(thm)],[2381, 4979])).
% 4.60/4.82 tff(4981,plain,
% 4.60/4.82 (mult(mult(a, mult(b, c)), a) = mult(a, mult(c, mult(a, b)))),
% 4.60/4.82 inference(transitivity,[status(thm)],[778, 370, 679, 273])).
% 4.60/4.82 tff(4982,plain,
% 4.60/4.82 ((mult(mult(a, mult(b, c)), a) = mult(a, mult(a, mult(b, c)))) <=> (mult(a, mult(c, mult(a, b))) = mult(mult(a, c), mult(a, b)))),
% 4.60/4.82 inference(monotonicity,[status(thm)],[4981, 4980])).
% 4.60/4.82 tff(4983,plain,
% 4.60/4.82 ((mult(mult(a, mult(b, c)), a) = mult(a, mult(a, mult(b, c)))) <=> (mult(mult(a, c), mult(a, b)) = mult(a, mult(c, mult(a, b))))),
% 4.60/4.82 inference(transitivity,[status(thm)],[4982, 2605])).
% 4.60/4.82 tff(4984,plain,
% 4.60/4.82 ((mult(mult(a, c), mult(a, b)) = mult(a, mult(c, mult(a, b)))) <=> (mult(mult(a, mult(b, c)), a) = mult(a, mult(a, mult(b, c))))),
% 4.60/4.82 inference(symmetry,[status(thm)],[4983])).
% 4.60/4.82 tff(4985,plain,
% 4.60/4.82 ((~(mult(mult(a, c), mult(a, b)) = mult(a, mult(c, mult(a, b))))) <=> (~(mult(mult(a, mult(b, c)), a) = mult(a, mult(a, mult(b, c)))))),
% 4.60/4.82 inference(monotonicity,[status(thm)],[4984])).
% 4.60/4.82 tff(4986,plain,
% 4.60/4.82 (~(mult(mult(a, mult(b, c)), a) = mult(a, mult(a, mult(b, c))))),
% 4.60/4.82 inference(modus_ponens,[status(thm)],[4975, 4985])).
% 4.60/4.82 tff(4987,plain,
% 4.60/4.82 ((~(mult(mult(a, a), mult(b, c)) = mult(a, mult(mult(b, c), a)))) | (~(mult(mult(a, mult(b, c)), a) = mult(a, mult(a, mult(b, c)))))),
% 4.60/4.83 inference(unit_resolution,[status(thm)],[95, 4986])).
% 4.60/4.83 tff(4988,plain,
% 4.60/4.83 (mult(mult(a, b), mult(a, c)) = mult(mult(a, mult(c, b)), a)),
% 4.60/4.83 inference(transitivity,[status(thm)],[222, 4951, 4968, 1063, 2845])).
% 4.60/4.83 tff(4989,plain,
% 4.60/4.83 ((mult(mult(a, b), mult(a, c)) = mult(a, mult(mult(a, c), b))) <=> (mult(mult(a, mult(c, b)), a) = mult(a, mult(a, mult(c, b))))),
% 4.60/4.83 inference(monotonicity,[status(thm)],[4988, 1804])).
% 4.60/4.83 tff(4990,plain,
% 4.60/4.83 ((mult(mult(a, mult(c, b)), a) = mult(a, mult(a, mult(c, b)))) <=> (mult(mult(a, b), mult(a, c)) = mult(a, mult(mult(a, c), b)))),
% 4.60/4.83 inference(symmetry,[status(thm)],[4989])).
% 4.60/4.83 tff(4991,plain,
% 4.60/4.83 ((~(mult(mult(a, mult(c, b)), a) = mult(a, mult(a, mult(c, b))))) <=> (~(mult(mult(a, b), mult(a, c)) = mult(a, mult(mult(a, c), b))))),
% 4.60/4.83 inference(monotonicity,[status(thm)],[4990])).
% 4.60/4.83 tff(4992,plain,
% 4.60/4.83 (~(mult(mult(a, b), mult(a, c)) = mult(a, mult(mult(a, c), b)))),
% 4.60/4.83 inference(modus_ponens,[status(thm)],[2409, 4991])).
% 4.60/4.83 tff(4993,plain,
% 4.60/4.83 ((~(mult(mult(a, mult(a, c)), b) = mult(a, mult(b, mult(a, c))))) | (~(mult(mult(a, b), mult(a, c)) = mult(a, mult(mult(a, c), b))))),
% 4.60/4.83 inference(unit_resolution,[status(thm)],[138, 4992])).
% 4.60/4.83 tff(4994,plain,
% 4.60/4.83 (~((~(mult(mult(a, mult(a, c)), b) = mult(a, mult(mult(a, c), b)))) | (~(mult(mult(a, b), mult(a, c)) = mult(a, mult(b, mult(a, c))))))),
% 4.60/4.83 inference(unit_resolution,[status(thm)],[143, 4993])).
% 4.60/4.83 tff(4995,plain,
% 4.60/4.83 (mult(mult(a, b), mult(a, c)) = mult(a, mult(b, mult(a, c)))),
% 4.60/4.83 inference(unit_resolution,[status(thm)],[145, 4994])).
% 4.60/4.83 tff(4996,plain,
% 4.60/4.83 (mult(a, mult(b, mult(a, c))) = mult(mult(a, b), mult(a, c))),
% 4.60/4.83 inference(symmetry,[status(thm)],[4995])).
% 4.60/4.83 tff(4997,plain,
% 4.60/4.83 (mult(a, mult(mult(b, c), a)) = mult(mult(a, c), mult(a, b))),
% 4.60/4.83 inference(transitivity,[status(thm)],[3892, 4996, 222, 4951, 4968, 1063, 2845, 2195, 971])).
% 4.60/4.83 tff(4998,plain,
% 4.60/4.83 ((mult(mult(a, mult(b, c)), a) = mult(a, mult(mult(b, c), a))) <=> (mult(a, mult(c, mult(a, b))) = mult(mult(a, c), mult(a, b)))),
% 4.60/4.83 inference(monotonicity,[status(thm)],[4981, 4997])).
% 4.60/4.83 tff(4999,plain,
% 4.60/4.83 ((mult(mult(a, mult(b, c)), a) = mult(a, mult(mult(b, c), a))) <=> (mult(mult(a, c), mult(a, b)) = mult(a, mult(c, mult(a, b))))),
% 4.60/4.83 inference(transitivity,[status(thm)],[4998, 2605])).
% 4.60/4.83 tff(5000,plain,
% 4.60/4.83 ((mult(mult(a, c), mult(a, b)) = mult(a, mult(c, mult(a, b)))) <=> (mult(mult(a, mult(b, c)), a) = mult(a, mult(mult(b, c), a)))),
% 4.60/4.83 inference(symmetry,[status(thm)],[4999])).
% 4.60/4.83 tff(5001,plain,
% 4.60/4.83 ((~(mult(mult(a, c), mult(a, b)) = mult(a, mult(c, mult(a, b))))) <=> (~(mult(mult(a, mult(b, c)), a) = mult(a, mult(mult(b, c), a))))),
% 4.60/4.83 inference(monotonicity,[status(thm)],[5000])).
% 4.60/4.83 tff(5002,plain,
% 4.60/4.83 (~(mult(mult(a, mult(b, c)), a) = mult(a, mult(mult(b, c), a)))),
% 4.60/4.83 inference(modus_ponens,[status(thm)],[4975, 5001])).
% 4.60/4.83 tff(5003,plain,
% 4.60/4.83 ((~(mult(mult(a, a), mult(b, c)) = mult(a, mult(a, mult(b, c))))) | (~(mult(mult(a, mult(b, c)), a) = mult(a, mult(mult(b, c), a))))),
% 4.60/4.83 inference(unit_resolution,[status(thm)],[506, 5002])).
% 4.60/4.83 tff(5004,plain,
% 4.60/4.83 ($false),
% 4.60/4.83 inference(unit_resolution,[status(thm)],[504, 5003, 4987])).
% 4.60/4.83 tff(5005,plain,((mult(mult(a, mult(c, b)), a) = mult(a, mult(a, mult(c, b)))) | (~(mult(mult(mult(a, b), a), c) = mult(mult(a, b), mult(a, c)))) | (~(mult(mult(a, c), b) = mult(a, mult(c, b)))) | (~(mult(mult(c, b), a) = mult(c, mult(b, a)))) | (~(mult(mult(b, c), a) = mult(b, mult(a, c)))) | (~(mult(mult(mult(a, b), c), a) = mult(mult(a, b), mult(c, a)))) | (~(mult(mult(c, a), b) = mult(c, mult(a, b)))) | (~(mult(mult(a, b), c) = mult(a, mult(b, c)))) | (mult(mult(mult(a, b), a), c) = mult(mult(a, b), mult(c, a))) | (mult(mult(mult(a, c), b), a) = mult(mult(a, c), mult(b, a)))), inference(lemma,lemma(discharge,[]))).
% 4.60/4.83 tff(5006,plain,
% 4.60/4.83 (mult(mult(a, mult(c, b)), a) = mult(a, mult(a, mult(c, b)))),
% 4.60/4.83 inference(unit_resolution,[status(thm)],[5005, 253, 788, 4958, 3449, 275, 4947, 59, 4957, 614])).
% 4.60/4.83 tff(5007,plain,
% 4.60/4.83 (mult(a, mult(a, mult(c, b))) = mult(mult(a, mult(c, b)), a)),
% 4.60/4.83 inference(symmetry,[status(thm)],[5006])).
% 4.60/4.83 tff(5008,plain,
% 4.60/4.83 (~(mult(mult(a, mult(c, b)), a) = mult(a, mult(mult(c, b), a)))),
% 4.60/4.83 inference(unit_resolution,[status(thm)],[1580, 1569])).
% 4.60/4.83 tff(5009,plain,
% 4.60/4.83 (~(mult(mult(c, b), a) = mult(c, mult(a, b)))),
% 4.60/4.83 inference(unit_resolution,[status(thm)],[2217, 5008, 59, 788, 594, 2215])).
% 4.60/4.83 tff(5010,plain,
% 4.60/4.83 ((~(mult(mult(c, b), a) = mult(c, mult(a, b)))) | (~(mult(mult(c, a), b) = mult(c, mult(b, a))))),
% 4.60/4.83 inference(unit_resolution,[status(thm)],[546, 5009])).
% 4.60/4.83 tff(5011,plain,
% 4.60/4.83 (~((~(mult(mult(c, b), a) = mult(c, mult(b, a)))) | (~(mult(mult(c, a), b) = mult(c, mult(a, b)))))),
% 4.60/4.83 inference(unit_resolution,[status(thm)],[301, 5010])).
% 4.60/4.83 tff(5012,plain,
% 4.60/4.83 (mult(mult(c, b), a) = mult(c, mult(b, a))),
% 4.60/4.83 inference(unit_resolution,[status(thm)],[543, 5011])).
% 4.60/4.83 tff(5013,plain,
% 4.60/4.83 (mult(mult(c, a), b) = mult(c, mult(a, b))),
% 4.60/4.83 inference(unit_resolution,[status(thm)],[296, 5011])).
% 4.60/4.83 tff(5014,plain,
% 4.60/4.83 (mult(c, mult(a, b)) = mult(mult(c, a), b)),
% 4.60/4.83 inference(symmetry,[status(thm)],[5013])).
% 4.60/4.83 tff(5015,plain,
% 4.60/4.83 ((mult(mult(c, b), a) = mult(c, mult(a, b))) <=> (mult(c, mult(b, a)) = mult(mult(c, a), b))),
% 4.60/4.83 inference(monotonicity,[status(thm)],[5012, 5014])).
% 4.60/4.83 tff(5016,plain,
% 4.60/4.83 ((mult(mult(c, b), a) = mult(c, mult(a, b))) <=> (mult(mult(c, a), b) = mult(c, mult(b, a)))),
% 4.60/4.83 inference(transitivity,[status(thm)],[5015, 4891])).
% 4.60/4.83 tff(5017,plain,
% 4.60/4.83 ((~(mult(mult(c, b), a) = mult(c, mult(a, b)))) <=> (~(mult(mult(c, a), b) = mult(c, mult(b, a))))),
% 4.60/4.83 inference(monotonicity,[status(thm)],[5016])).
% 4.60/4.83 tff(5018,plain,
% 4.60/4.83 (~(mult(mult(c, a), b) = mult(c, mult(b, a)))),
% 4.60/4.83 inference(modus_ponens,[status(thm)],[5009, 5017])).
% 4.60/4.83 tff(5019,plain,
% 4.60/4.83 (mult(mult(a, mult(b, c)), a) = mult(a, mult(mult(b, c), a))),
% 4.60/4.83 inference(unit_resolution,[status(thm)],[1890, 5018, 1574, 5013, 5012, 439, 59, 248])).
% 4.60/4.83 tff(5020,plain,
% 4.60/4.83 (mult(a, mult(mult(b, c), a)) = mult(mult(a, mult(b, c)), a)),
% 4.60/4.83 inference(symmetry,[status(thm)],[5019])).
% 4.60/4.83 tff(5021,plain,
% 4.60/4.83 (mult(b, mult(a, c)) = mult(mult(b, c), a)),
% 4.60/4.83 inference(symmetry,[status(thm)],[3449])).
% 4.60/4.83 tff(5022,plain,
% 4.60/4.83 (mult(a, mult(b, mult(a, c))) = mult(a, mult(mult(b, c), a))),
% 4.60/4.83 inference(monotonicity,[status(thm)],[5021])).
% 4.60/4.83 tff(5023,plain,
% 4.60/4.83 (mult(a, mult(b, mult(a, c))) = mult(mult(mult(a, b), c), a)),
% 4.60/4.83 inference(transitivity,[status(thm)],[5022, 5020, 778])).
% 4.60/4.83 tff(5024,plain,
% 4.60/4.83 ((mult(mult(a, b), mult(a, c)) = mult(a, mult(b, mult(a, c)))) <=> (mult(mult(a, b), mult(a, c)) = mult(mult(mult(a, b), c), a))),
% 4.60/4.83 inference(monotonicity,[status(thm)],[5023])).
% 4.60/4.83 tff(5025,plain,
% 4.60/4.83 ((mult(mult(a, b), mult(a, c)) = mult(a, mult(b, mult(a, c)))) <=> (mult(mult(mult(a, b), c), a) = mult(mult(a, b), mult(a, c)))),
% 4.60/4.83 inference(transitivity,[status(thm)],[5024, 2325])).
% 4.60/4.83 tff(5026,plain,
% 4.60/4.83 ((mult(mult(mult(a, b), c), a) = mult(mult(a, b), mult(a, c))) <=> (mult(mult(a, b), mult(a, c)) = mult(a, mult(b, mult(a, c))))),
% 4.60/4.83 inference(symmetry,[status(thm)],[5025])).
% 4.60/4.83 tff(5027,plain,
% 4.60/4.83 ((~(mult(mult(mult(a, b), c), a) = mult(mult(a, b), mult(a, c)))) <=> (~(mult(mult(a, b), mult(a, c)) = mult(a, mult(b, mult(a, c)))))),
% 4.60/4.83 inference(monotonicity,[status(thm)],[5026])).
% 4.60/4.83 tff(5028,plain,
% 4.60/4.83 (~(mult(mult(a, b), mult(a, c)) = mult(a, mult(b, mult(a, c))))),
% 4.60/4.83 inference(modus_ponens,[status(thm)],[248, 5027])).
% 4.60/4.83 tff(5029,plain,
% 4.60/4.83 (mult(a, mult(c, mult(a, b))) = mult(mult(mult(a, b), c), a)),
% 4.60/4.83 inference(transitivity,[status(thm)],[272, 458, 1873])).
% 4.60/4.83 tff(5030,plain,
% 4.60/4.83 (mult(mult(a, c), mult(a, b)) = mult(mult(a, b), mult(a, c))),
% 4.60/4.83 inference(transitivity,[status(thm)],[1106, 2196, 249, 2058, 1170])).
% 4.60/4.83 tff(5031,plain,
% 4.60/4.83 ((mult(mult(a, c), mult(a, b)) = mult(a, mult(c, mult(a, b)))) <=> (mult(mult(a, b), mult(a, c)) = mult(mult(mult(a, b), c), a))),
% 4.60/4.83 inference(monotonicity,[status(thm)],[5030, 5029])).
% 4.60/4.83 tff(5032,plain,
% 4.60/4.83 ((mult(mult(a, c), mult(a, b)) = mult(a, mult(c, mult(a, b)))) <=> (mult(mult(mult(a, b), c), a) = mult(mult(a, b), mult(a, c)))),
% 4.60/4.83 inference(transitivity,[status(thm)],[5031, 2325])).
% 4.60/4.83 tff(5033,plain,
% 4.60/4.83 ((mult(mult(mult(a, b), c), a) = mult(mult(a, b), mult(a, c))) <=> (mult(mult(a, c), mult(a, b)) = mult(a, mult(c, mult(a, b))))),
% 4.60/4.83 inference(symmetry,[status(thm)],[5032])).
% 4.60/4.83 tff(5034,plain,
% 4.60/4.83 ((~(mult(mult(mult(a, b), c), a) = mult(mult(a, b), mult(a, c)))) <=> (~(mult(mult(a, c), mult(a, b)) = mult(a, mult(c, mult(a, b)))))),
% 4.60/4.83 inference(monotonicity,[status(thm)],[5033])).
% 4.60/4.83 tff(5035,plain,
% 4.60/4.83 (~(mult(mult(a, c), mult(a, b)) = mult(a, mult(c, mult(a, b))))),
% 4.60/4.83 inference(modus_ponens,[status(thm)],[248, 5034])).
% 4.60/4.83 tff(5036,plain,
% 4.60/4.83 ((~(mult(mult(a, mult(a, b)), c) = mult(a, mult(mult(a, b), c)))) | (~(mult(mult(a, c), mult(a, b)) = mult(a, mult(c, mult(a, b)))))),
% 4.60/4.83 inference(unit_resolution,[status(thm)],[604, 5035])).
% 4.60/4.83 tff(5037,plain,
% 4.60/4.83 (~((~(mult(mult(a, mult(a, b)), c) = mult(a, mult(c, mult(a, b))))) | (~(mult(mult(a, c), mult(a, b)) = mult(a, mult(mult(a, b), c)))))),
% 4.60/4.83 inference(unit_resolution,[status(thm)],[292, 5036])).
% 4.60/4.83 tff(5038,plain,
% 4.60/4.83 (mult(mult(a, c), mult(a, b)) = mult(a, mult(mult(a, b), c))),
% 4.60/4.83 inference(unit_resolution,[status(thm)],[601, 5037])).
% 4.60/4.83 tff(5039,plain,
% 4.60/4.83 (mult(a, mult(mult(a, b), c)) = mult(mult(a, c), mult(a, b))),
% 4.60/4.83 inference(symmetry,[status(thm)],[5038])).
% 4.60/4.83 tff(5040,plain,
% 4.60/4.83 (mult(a, mult(mult(a, b), c)) = mult(a, mult(mult(a, c), b))),
% 4.60/4.83 inference(transitivity,[status(thm)],[5039, 1106, 2196, 249, 2058])).
% 4.60/4.83 tff(5041,plain,
% 4.60/4.83 (ld(a, mult(a, mult(mult(a, b), c))) = ld(a, mult(a, mult(mult(a, c), b)))),
% 4.60/4.83 inference(monotonicity,[status(thm)],[5040])).
% 4.60/4.83 tff(5042,plain,
% 4.60/4.83 (ld(a, mult(a, mult(mult(a, c), b))) = ld(a, mult(a, mult(mult(a, b), c)))),
% 4.60/4.83 inference(symmetry,[status(thm)],[5041])).
% 4.60/4.83 tff(5043,plain,
% 4.60/4.83 (mult(mult(a, c), b) = mult(a, mult(b, c))),
% 4.60/4.83 inference(transitivity,[status(thm)],[2213, 5042, 114, 59])).
% 4.60/4.83 tff(5044,plain,
% 4.60/4.83 ($false),
% 4.60/4.83 inference(unit_resolution,[status(thm)],[2215, 5043])).
% 4.60/4.83 tff(5045,plain,((mult(mult(a, b), mult(a, c)) = mult(a, mult(b, mult(a, c)))) | (mult(mult(a, c), b) = mult(a, mult(b, c))) | (~(mult(mult(a, b), c) = mult(a, mult(b, c)))) | (~(mult(mult(a, mult(c, b)), a) = mult(a, mult(a, mult(c, b))))) | (~(mult(mult(mult(a, c), b), a) = mult(mult(a, c), mult(a, b)))) | (~(mult(mult(a, c), b) = mult(a, mult(c, b)))) | (mult(mult(mult(a, b), c), a) = mult(mult(a, b), mult(a, c))) | (~(mult(mult(a, b), mult(c, a)) = mult(a, mult(mult(c, a), b)))) | (~(mult(mult(c, a), b) = mult(c, mult(a, b))))), inference(lemma,lemma(discharge,[]))).
% 4.60/4.83 tff(5046,plain,
% 4.60/4.83 (mult(mult(a, b), mult(a, c)) = mult(a, mult(b, mult(a, c)))),
% 4.60/4.83 inference(unit_resolution,[status(thm)],[5045, 1572, 59, 2215, 594, 788, 248, 439, 5013])).
% 4.60/4.83 tff(5047,plain,
% 4.60/4.83 ($false),
% 4.60/4.83 inference(unit_resolution,[status(thm)],[5046, 5028])).
% 4.60/4.83 tff(5048,plain,((mult(mult(a, a), mult(c, b)) = mult(a, mult(a, mult(c, b)))) | (mult(mult(mult(a, b), c), a) = mult(mult(a, b), mult(a, c))) | (~(mult(mult(a, b), c) = mult(a, mult(b, c)))) | (~(mult(mult(b, c), a) = mult(b, mult(a, c)))) | (mult(mult(a, c), b) = mult(a, mult(b, c))) | (~(mult(mult(mult(a, c), b), a) = mult(mult(a, c), mult(a, b)))) | (~(mult(mult(a, c), b) = mult(a, mult(c, b)))) | (~(mult(mult(a, b), mult(c, a)) = mult(a, mult(mult(c, a), b))))), inference(lemma,lemma(discharge,[]))).
% 4.60/4.83 tff(5049,plain,
% 4.60/4.83 (mult(mult(a, a), mult(c, b)) = mult(a, mult(a, mult(c, b)))),
% 4.60/4.83 inference(unit_resolution,[status(thm)],[5048, 4933, 59, 3449, 2215, 971, 788, 248])).
% 4.60/4.83 tff(5050,assumption,(~(mult(mult(a, a), mult(c, b)) = mult(a, mult(mult(c, b), a)))), introduced(assumption)).
% 4.60/4.83 tff(5051,plain,
% 4.60/4.83 ((~(mult(mult(a, a), mult(c, b)) = mult(a, mult(mult(c, b), a)))) | (~(mult(mult(a, mult(c, b)), a) = mult(a, mult(a, mult(c, b)))))),
% 4.60/4.83 inference(unit_resolution,[status(thm)],[319, 5050])).
% 4.60/4.83 tff(5052,plain,
% 4.60/4.83 (mult(mult(a, mult(c, b)), a) = mult(a, mult(mult(c, b), a))),
% 4.60/4.83 inference(unit_resolution,[status(thm)],[86, 5051])).
% 4.60/4.83 tff(5053,plain,
% 4.60/4.83 (mult(a, mult(mult(c, b), a)) = mult(mult(a, mult(c, b)), a)),
% 4.60/4.83 inference(symmetry,[status(thm)],[5052])).
% 4.60/4.83 tff(5054,plain,
% 4.60/4.83 ((mult(mult(a, a), mult(c, b)) = mult(a, mult(mult(c, b), a))) <=> (mult(a, mult(a, mult(c, b))) = mult(mult(a, mult(c, b)), a))),
% 4.60/4.83 inference(monotonicity,[status(thm)],[911, 5053])).
% 4.60/4.83 tff(5055,plain,
% 4.60/4.83 ((mult(mult(a, a), mult(c, b)) = mult(a, mult(mult(c, b), a))) <=> (mult(mult(a, mult(c, b)), a) = mult(a, mult(a, mult(c, b))))),
% 4.60/4.83 inference(transitivity,[status(thm)],[5054, 2847])).
% 4.60/4.83 tff(5056,plain,
% 4.60/4.83 ((mult(mult(a, mult(c, b)), a) = mult(a, mult(a, mult(c, b)))) <=> (mult(mult(a, a), mult(c, b)) = mult(a, mult(mult(c, b), a)))),
% 4.60/4.83 inference(symmetry,[status(thm)],[5055])).
% 4.60/4.83 tff(5057,plain,
% 4.60/4.83 (mult(mult(a, a), mult(c, b)) = mult(a, mult(mult(c, b), a))),
% 4.60/4.83 inference(modus_ponens,[status(thm)],[249, 5056])).
% 4.60/4.83 tff(5058,plain,
% 4.60/4.83 ($false),
% 4.60/4.83 inference(unit_resolution,[status(thm)],[5050, 5057])).
% 4.60/4.83 tff(5059,plain,((mult(mult(a, a), mult(c, b)) = mult(a, mult(mult(c, b), a))) | (~(mult(mult(a, mult(c, b)), a) = mult(a, mult(a, mult(c, b))))) | (~(mult(mult(a, a), mult(c, b)) = mult(a, mult(a, mult(c, b)))))), inference(lemma,lemma(discharge,[]))).
% 4.60/4.83 tff(5060,plain,
% 4.60/4.83 (mult(mult(a, a), mult(c, b)) = mult(a, mult(mult(c, b), a))),
% 4.60/4.83 inference(unit_resolution,[status(thm)],[5059, 5006, 5049])).
% 4.60/4.83 tff(5061,plain,
% 4.60/4.83 (mult(a, mult(mult(c, b), a)) = mult(mult(a, a), mult(c, b))),
% 4.60/4.83 inference(symmetry,[status(thm)],[5060])).
% 4.60/4.83 tff(5062,plain,
% 4.60/4.83 (mult(c, mult(b, a)) = mult(mult(c, b), a)),
% 4.60/4.83 inference(symmetry,[status(thm)],[4958])).
% 4.60/4.83 tff(5063,plain,
% 4.60/4.83 (mult(a, mult(c, mult(b, a))) = mult(a, mult(mult(c, b), a))),
% 4.60/4.83 inference(monotonicity,[status(thm)],[5062])).
% 4.60/4.83 tff(5064,plain,
% 4.60/4.83 (mult(a, mult(c, mult(b, a))) = mult(mult(mult(a, c), b), a)),
% 4.60/4.83 inference(transitivity,[status(thm)],[5063, 5061, 5049, 5007, 2195])).
% 4.60/4.83 tff(5065,plain,
% 4.60/4.83 ((mult(mult(a, c), mult(b, a)) = mult(a, mult(c, mult(b, a)))) <=> (mult(mult(a, c), mult(b, a)) = mult(mult(mult(a, c), b), a))),
% 4.60/4.83 inference(monotonicity,[status(thm)],[5064])).
% 4.60/4.83 tff(5066,plain,
% 4.60/4.83 ((mult(mult(a, c), mult(b, a)) = mult(a, mult(c, mult(b, a)))) <=> (mult(mult(mult(a, c), b), a) = mult(mult(a, c), mult(b, a)))),
% 4.60/4.83 inference(transitivity,[status(thm)],[5065, 2594])).
% 4.60/4.83 tff(5067,plain,
% 4.60/4.83 ((mult(mult(mult(a, c), b), a) = mult(mult(a, c), mult(b, a))) <=> (mult(mult(a, c), mult(b, a)) = mult(a, mult(c, mult(b, a))))),
% 4.60/4.83 inference(symmetry,[status(thm)],[5066])).
% 4.60/4.83 tff(5068,plain,
% 4.60/4.83 ((~(mult(mult(mult(a, c), b), a) = mult(mult(a, c), mult(b, a)))) <=> (~(mult(mult(a, c), mult(b, a)) = mult(a, mult(c, mult(b, a)))))),
% 4.60/4.83 inference(monotonicity,[status(thm)],[5067])).
% 4.60/4.83 tff(5069,plain,
% 4.60/4.83 (~(mult(mult(a, c), mult(b, a)) = mult(a, mult(c, mult(b, a))))),
% 4.60/4.83 inference(modus_ponens,[status(thm)],[614, 5068])).
% 4.60/4.83 tff(5070,plain,
% 4.60/4.83 ((~(mult(mult(a, c), mult(b, a)) = mult(a, mult(c, mult(b, a))))) | (~(mult(mult(a, mult(b, a)), c) = mult(a, mult(mult(b, a), c))))),
% 4.60/4.83 inference(unit_resolution,[status(thm)],[120, 5069])).
% 4.60/4.83 tff(5071,plain,
% 4.60/4.83 (~((~(mult(mult(a, c), mult(b, a)) = mult(a, mult(mult(b, a), c)))) | (~(mult(mult(a, mult(b, a)), c) = mult(a, mult(c, mult(b, a))))))),
% 4.60/4.83 inference(unit_resolution,[status(thm)],[132, 5070])).
% 4.60/4.83 tff(5072,plain,
% 4.60/4.83 (mult(mult(a, mult(b, a)), c) = mult(a, mult(c, mult(b, a)))),
% 4.60/4.83 inference(unit_resolution,[status(thm)],[217, 5071])).
% 4.60/4.83 tff(5073,plain,
% 4.60/4.83 (mult(a, mult(c, mult(b, a))) = mult(mult(a, mult(b, a)), c)),
% 4.60/4.83 inference(symmetry,[status(thm)],[5072])).
% 4.60/4.83 tff(5074,plain,
% 4.60/4.83 (mult(a, mult(mult(c, b), a)) = mult(a, mult(c, mult(b, a)))),
% 4.60/4.83 inference(symmetry,[status(thm)],[5063])).
% 4.60/4.83 tff(5075,plain,
% 4.60/4.83 (mult(a, mult(a, mult(c, b))) = mult(mult(a, a), mult(c, b))),
% 4.60/4.83 inference(symmetry,[status(thm)],[5049])).
% 4.60/4.83 tff(5076,plain,
% 4.60/4.83 (mult(mult(a, c), mult(a, b)) = mult(mult(mult(a, b), a), c)),
% 4.60/4.83 inference(transitivity,[status(thm)],[2160, 2196, 5006, 5075, 5060, 5074, 5073, 4952])).
% 4.60/4.83 tff(5077,plain,
% 4.60/4.83 ((mult(mult(a, c), mult(a, b)) = mult(a, mult(c, mult(a, b)))) <=> (mult(mult(mult(a, b), a), c) = mult(mult(a, b), mult(c, a)))),
% 4.60/4.83 inference(monotonicity,[status(thm)],[5076, 4950])).
% 4.60/4.83 tff(5078,plain,
% 4.60/4.83 ((mult(mult(mult(a, b), a), c) = mult(mult(a, b), mult(c, a))) <=> (mult(mult(a, c), mult(a, b)) = mult(a, mult(c, mult(a, b))))),
% 4.67/4.83 inference(symmetry,[status(thm)],[5077])).
% 4.67/4.83 tff(5079,plain,
% 4.67/4.83 ((~(mult(mult(mult(a, b), a), c) = mult(mult(a, b), mult(c, a)))) <=> (~(mult(mult(a, c), mult(a, b)) = mult(a, mult(c, mult(a, b)))))),
% 4.67/4.83 inference(monotonicity,[status(thm)],[5078])).
% 4.67/4.83 tff(5080,plain,
% 4.67/4.83 (~(mult(mult(a, c), mult(a, b)) = mult(a, mult(c, mult(a, b))))),
% 4.67/4.83 inference(modus_ponens,[status(thm)],[4957, 5079])).
% 4.67/4.83 tff(5081,plain,
% 4.67/4.83 ((~(mult(mult(a, mult(a, b)), c) = mult(a, mult(mult(a, b), c)))) | (~(mult(mult(a, c), mult(a, b)) = mult(a, mult(c, mult(a, b)))))),
% 4.67/4.83 inference(unit_resolution,[status(thm)],[604, 5080])).
% 4.67/4.83 tff(5082,plain,
% 4.67/4.83 (~((~(mult(mult(a, mult(a, b)), c) = mult(a, mult(c, mult(a, b))))) | (~(mult(mult(a, c), mult(a, b)) = mult(a, mult(mult(a, b), c)))))),
% 4.67/4.83 inference(unit_resolution,[status(thm)],[292, 5081])).
% 4.67/4.83 tff(5083,plain,
% 4.67/4.83 (mult(mult(a, c), mult(a, b)) = mult(a, mult(mult(a, b), c))),
% 4.67/4.83 inference(unit_resolution,[status(thm)],[601, 5082])).
% 4.67/4.83 tff(5084,plain,
% 4.67/4.83 (mult(a, mult(mult(a, b), c)) = mult(mult(a, c), mult(a, b))),
% 4.67/4.83 inference(symmetry,[status(thm)],[5083])).
% 4.67/4.83 tff(5085,plain,
% 4.67/4.83 (mult(a, mult(a, mult(b, c))) = mult(mult(a, c), mult(a, b))),
% 4.67/4.83 inference(transitivity,[status(thm)],[2381, 5084])).
% 4.67/4.83 tff(5086,plain,
% 4.67/4.83 (mult(a, mult(mult(c, a), b)) = mult(a, mult(c, mult(a, b)))),
% 4.67/4.83 inference(symmetry,[status(thm)],[4949])).
% 4.67/4.83 tff(5087,plain,
% 4.67/4.83 (mult(mult(a, mult(b, c)), a) = mult(a, mult(c, mult(a, b)))),
% 4.67/4.83 inference(transitivity,[status(thm)],[778, 275, 4933, 5086])).
% 4.67/4.83 tff(5088,plain,
% 4.67/4.83 ((mult(mult(a, mult(b, c)), a) = mult(a, mult(a, mult(b, c)))) <=> (mult(a, mult(c, mult(a, b))) = mult(mult(a, c), mult(a, b)))),
% 4.67/4.83 inference(monotonicity,[status(thm)],[5087, 5085])).
% 4.67/4.83 tff(5089,plain,
% 4.67/4.83 ((mult(mult(a, mult(b, c)), a) = mult(a, mult(a, mult(b, c)))) <=> (mult(mult(a, c), mult(a, b)) = mult(a, mult(c, mult(a, b))))),
% 4.67/4.83 inference(transitivity,[status(thm)],[5088, 2605])).
% 4.67/4.83 tff(5090,plain,
% 4.67/4.83 ((mult(mult(a, c), mult(a, b)) = mult(a, mult(c, mult(a, b)))) <=> (mult(mult(a, mult(b, c)), a) = mult(a, mult(a, mult(b, c))))),
% 4.67/4.83 inference(symmetry,[status(thm)],[5089])).
% 4.67/4.83 tff(5091,plain,
% 4.67/4.83 ((~(mult(mult(a, c), mult(a, b)) = mult(a, mult(c, mult(a, b))))) <=> (~(mult(mult(a, mult(b, c)), a) = mult(a, mult(a, mult(b, c)))))),
% 4.67/4.83 inference(monotonicity,[status(thm)],[5090])).
% 4.67/4.83 tff(5092,plain,
% 4.67/4.83 (~(mult(mult(a, mult(b, c)), a) = mult(a, mult(a, mult(b, c))))),
% 4.67/4.83 inference(modus_ponens,[status(thm)],[5080, 5091])).
% 4.67/4.83 tff(5093,plain,
% 4.67/4.83 ((~(mult(mult(a, a), mult(b, c)) = mult(a, mult(mult(b, c), a)))) | (~(mult(mult(a, mult(b, c)), a) = mult(a, mult(a, mult(b, c)))))),
% 4.67/4.83 inference(unit_resolution,[status(thm)],[95, 5092])).
% 4.67/4.83 tff(5094,plain,
% 4.67/4.83 (~((~(mult(mult(a, a), mult(b, c)) = mult(a, mult(a, mult(b, c))))) | (~(mult(mult(a, mult(b, c)), a) = mult(a, mult(mult(b, c), a)))))),
% 4.67/4.83 inference(unit_resolution,[status(thm)],[504, 5093])).
% 4.67/4.83 tff(5095,plain,
% 4.67/4.83 (mult(mult(a, a), mult(b, c)) = mult(a, mult(a, mult(b, c)))),
% 4.67/4.83 inference(unit_resolution,[status(thm)],[2627, 5094])).
% 4.67/4.83 tff(5096,plain,
% 4.67/4.84 (mult(mult(a, a), mult(c, b)) = mult(mult(a, c), mult(a, b))),
% 4.67/4.84 inference(transitivity,[status(thm)],[5049, 5007, 2195, 971])).
% 4.67/4.84 tff(5097,plain,
% 4.67/4.84 (mult(mult(a, mult(a, b)), c) = mult(a, mult(c, mult(a, b)))),
% 4.67/4.84 inference(unit_resolution,[status(thm)],[287, 5082])).
% 4.67/4.84 tff(5098,plain,
% 4.67/4.84 (mult(mult(mult(a, a), b), c) = mult(a, mult(c, mult(a, b)))),
% 4.67/4.84 inference(transitivity,[status(thm)],[2169, 5097])).
% 4.67/4.84 tff(5099,plain,
% 4.67/4.84 ((mult(mult(mult(a, a), b), c) = mult(mult(a, a), mult(c, b))) <=> (mult(a, mult(c, mult(a, b))) = mult(mult(a, c), mult(a, b)))),
% 4.67/4.84 inference(monotonicity,[status(thm)],[5098, 5096])).
% 4.67/4.84 tff(5100,plain,
% 4.67/4.84 ((mult(mult(mult(a, a), b), c) = mult(mult(a, a), mult(c, b))) <=> (mult(mult(a, c), mult(a, b)) = mult(a, mult(c, mult(a, b))))),
% 4.67/4.84 inference(transitivity,[status(thm)],[5099, 2605])).
% 4.67/4.84 tff(5101,plain,
% 4.67/4.84 ((mult(mult(a, c), mult(a, b)) = mult(a, mult(c, mult(a, b)))) <=> (mult(mult(mult(a, a), b), c) = mult(mult(a, a), mult(c, b)))),
% 4.67/4.84 inference(symmetry,[status(thm)],[5100])).
% 4.67/4.84 tff(5102,plain,
% 4.67/4.84 ((~(mult(mult(a, c), mult(a, b)) = mult(a, mult(c, mult(a, b))))) <=> (~(mult(mult(mult(a, a), b), c) = mult(mult(a, a), mult(c, b))))),
% 4.67/4.84 inference(monotonicity,[status(thm)],[5101])).
% 4.67/4.84 tff(5103,plain,
% 4.67/4.84 (~(mult(mult(mult(a, a), b), c) = mult(mult(a, a), mult(c, b)))),
% 4.67/4.84 inference(modus_ponens,[status(thm)],[5080, 5102])).
% 4.67/4.84 tff(5104,plain,
% 4.67/4.84 ((~(mult(mult(mult(a, a), b), c) = mult(mult(a, a), mult(c, b)))) | (~(mult(mult(mult(a, a), c), b) = mult(mult(a, a), mult(b, c))))),
% 4.67/4.84 inference(unit_resolution,[status(thm)],[326, 5103])).
% 4.67/4.84 tff(5105,plain,
% 4.67/4.84 (~((~(mult(mult(mult(a, a), b), c) = mult(mult(a, a), mult(b, c)))) | (~(mult(mult(mult(a, a), c), b) = mult(mult(a, a), mult(c, b)))))),
% 4.67/4.84 inference(unit_resolution,[status(thm)],[338, 5104])).
% 4.67/4.84 tff(5106,plain,
% 4.67/4.84 (mult(mult(mult(a, a), b), c) = mult(mult(a, a), mult(b, c))),
% 4.67/4.84 inference(unit_resolution,[status(thm)],[317, 5105])).
% 4.67/4.84 tff(5107,assumption,(~(mult(mult(a, c), mult(a, b)) = mult(a, mult(c, mult(a, b))))), introduced(assumption)).
% 4.67/4.84 tff(5108,plain,
% 4.67/4.84 ((~(mult(mult(a, mult(a, b)), c) = mult(a, mult(mult(a, b), c)))) | (~(mult(mult(a, c), mult(a, b)) = mult(a, mult(c, mult(a, b)))))),
% 4.67/4.84 inference(unit_resolution,[status(thm)],[604, 5107])).
% 4.67/4.84 tff(5109,plain,
% 4.67/4.84 (~((~(mult(mult(a, mult(a, b)), c) = mult(a, mult(c, mult(a, b))))) | (~(mult(mult(a, c), mult(a, b)) = mult(a, mult(mult(a, b), c)))))),
% 4.67/4.84 inference(unit_resolution,[status(thm)],[292, 5108])).
% 4.67/4.84 tff(5110,plain,
% 4.67/4.84 (mult(mult(a, c), mult(a, b)) = mult(a, mult(mult(a, b), c))),
% 4.67/4.84 inference(unit_resolution,[status(thm)],[601, 5109])).
% 4.67/4.84 tff(5111,plain,
% 4.67/4.84 (mult(a, mult(mult(a, b), c)) = mult(mult(a, c), mult(a, b))),
% 4.67/4.84 inference(symmetry,[status(thm)],[5110])).
% 4.67/4.84 tff(5112,plain,
% 4.67/4.84 (mult(mult(a, mult(a, b)), c) = mult(mult(a, c), mult(a, b))),
% 4.67/4.84 inference(transitivity,[status(thm)],[450, 2629, 1154, 2381, 5111])).
% 4.67/4.84 tff(5113,plain,
% 4.67/4.84 ((mult(mult(a, mult(a, b)), c) = mult(a, mult(c, mult(a, b)))) <=> (mult(mult(a, c), mult(a, b)) = mult(a, mult(c, mult(a, b))))),
% 4.67/4.84 inference(monotonicity,[status(thm)],[5112])).
% 4.67/4.84 tff(5114,plain,
% 4.67/4.84 ((mult(mult(a, c), mult(a, b)) = mult(a, mult(c, mult(a, b)))) <=> (mult(mult(a, mult(a, b)), c) = mult(a, mult(c, mult(a, b))))),
% 4.67/4.84 inference(symmetry,[status(thm)],[5113])).
% 4.67/4.84 tff(5115,plain,
% 4.67/4.84 ((~(mult(mult(a, c), mult(a, b)) = mult(a, mult(c, mult(a, b))))) <=> (~(mult(mult(a, mult(a, b)), c) = mult(a, mult(c, mult(a, b)))))),
% 4.67/4.84 inference(monotonicity,[status(thm)],[5114])).
% 4.67/4.84 tff(5116,plain,
% 4.67/4.84 (~(mult(mult(a, mult(a, b)), c) = mult(a, mult(c, mult(a, b))))),
% 4.67/4.84 inference(modus_ponens,[status(thm)],[5107, 5115])).
% 4.67/4.84 tff(5117,plain,
% 4.67/4.84 (mult(mult(a, mult(a, b)), c) = mult(a, mult(c, mult(a, b)))),
% 4.67/4.84 inference(unit_resolution,[status(thm)],[287, 5109])).
% 4.67/4.84 tff(5118,plain,
% 4.67/4.84 ($false),
% 4.67/4.84 inference(unit_resolution,[status(thm)],[5117, 5116])).
% 4.67/4.84 tff(5119,plain,((mult(mult(a, c), mult(a, b)) = mult(a, mult(c, mult(a, b)))) | (~(mult(mult(mult(a, a), b), c) = mult(mult(a, a), mult(b, c)))) | (~(mult(mult(a, a), mult(b, c)) = mult(a, mult(a, mult(b, c))))) | (~(mult(mult(a, b), c) = mult(a, mult(b, c)))) | (~(mult(mult(a, a), b) = mult(a, mult(a, b))))), inference(lemma,lemma(discharge,[]))).
% 4.67/4.84 tff(5120,plain,
% 4.67/4.84 ($false),
% 4.67/4.84 inference(unit_resolution,[status(thm)],[5119, 5106, 5095, 59, 2168, 5080])).
% 4.67/4.84 tff(5121,plain,((mult(mult(mult(a, b), c), a) = mult(mult(a, b), mult(a, c))) | (~(mult(mult(a, b), c) = mult(a, mult(b, c)))) | (~(mult(mult(a, c), b) = mult(a, mult(c, b)))) | (mult(mult(mult(a, c), b), a) = mult(mult(a, c), mult(b, a))) | (~(mult(mult(b, c), a) = mult(b, mult(a, c)))) | (~(mult(mult(b, mult(c, a)), a) = mult(b, mult(a, mult(c, a))))) | (~(mult(mult(b, a), c) = mult(b, mult(c, a)))) | (mult(mult(a, c), b) = mult(a, mult(b, c)))), inference(lemma,lemma(discharge,[]))).
% 4.67/4.84 tff(5122,plain,
% 4.67/4.84 ((mult(mult(mult(a, b), c), a) = mult(mult(a, b), mult(a, c))) | (~(mult(mult(a, b), c) = mult(a, mult(b, c)))) | (~(mult(mult(a, c), b) = mult(a, mult(c, b)))) | (mult(mult(mult(a, c), b), a) = mult(mult(a, c), mult(b, a))) | (~(mult(mult(b, c), a) = mult(b, mult(a, c)))) | (~(mult(mult(b, mult(c, a)), a) = mult(b, mult(a, mult(c, a))))) | (mult(mult(a, c), b) = mult(a, mult(b, c)))),
% 4.67/4.84 inference(unit_resolution,[status(thm)],[5121, 3427])).
% 4.67/4.84 tff(5123,plain,
% 4.67/4.84 (mult(mult(mult(a, b), c), a) = mult(mult(a, b), mult(a, c))),
% 4.67/4.84 inference(unit_resolution,[status(thm)],[5122, 4925, 4887, 1790, 614, 4910, 4902])).
% 4.67/4.84 tff(5124,plain,
% 4.67/4.84 (mult(mult(a, mult(b, c)), a) = mult(mult(a, b), mult(a, c))),
% 4.67/4.84 inference(transitivity,[status(thm)],[778, 168])).
% 4.67/4.84 tff(5125,plain,
% 4.67/4.84 ((mult(mult(a, mult(b, c)), a) = mult(a, mult(mult(b, c), a))) <=> (mult(mult(a, b), mult(a, c)) = mult(a, mult(b, mult(a, c))))),
% 4.67/4.84 inference(monotonicity,[status(thm)],[5124, 3892])).
% 4.67/4.84 tff(5126,plain,
% 4.67/4.84 (mult(mult(a, b), mult(a, c)) = mult(a, mult(b, mult(a, c)))),
% 4.67/4.84 inference(modus_ponens,[status(thm)],[510, 5125])).
% 4.67/4.84 tff(5127,plain,
% 4.67/4.84 ($false),
% 4.67/4.84 inference(unit_resolution,[status(thm)],[1159, 5126])).
% 4.67/4.84 tff(5128,plain,((~(mult(mult(a, mult(b, c)), a) = mult(a, mult(mult(b, c), a)))) | (mult(mult(a, b), mult(a, c)) = mult(a, mult(b, mult(a, c)))) | (~(mult(mult(b, c), a) = mult(b, mult(a, c)))) | (~(mult(mult(mult(a, b), c), a) = mult(mult(a, b), mult(a, c)))) | (~(mult(mult(a, b), c) = mult(a, mult(b, c))))), inference(lemma,lemma(discharge,[]))).
% 4.67/4.84 tff(5129,plain,
% 4.67/4.84 (~(mult(mult(a, mult(b, c)), a) = mult(a, mult(mult(b, c), a)))),
% 4.67/4.84 inference(unit_resolution,[status(thm)],[5128, 1159, 3449, 168, 59])).
% 4.67/4.84 tff(5130,plain,
% 4.67/4.84 ((~(mult(mult(a, a), mult(b, c)) = mult(a, mult(a, mult(b, c))))) | (~(mult(mult(a, mult(b, c)), a) = mult(a, mult(mult(b, c), a))))),
% 4.67/4.84 inference(unit_resolution,[status(thm)],[506, 5129])).
% 4.67/4.84 tff(5131,plain,
% 4.67/4.84 (~((~(mult(mult(a, a), mult(b, c)) = mult(a, mult(mult(b, c), a)))) | (~(mult(mult(a, mult(b, c)), a) = mult(a, mult(a, mult(b, c))))))),
% 4.67/4.84 inference(unit_resolution,[status(thm)],[504, 5130])).
% 4.67/4.84 tff(5132,plain,
% 4.67/4.84 (mult(mult(a, mult(b, c)), a) = mult(a, mult(a, mult(b, c)))),
% 4.67/4.84 inference(unit_resolution,[status(thm)],[95, 5131])).
% 4.67/4.84 tff(5133,plain,
% 4.67/4.84 (mult(a, mult(a, mult(c, b))) = mult(a, mult(mult(a, b), c))),
% 4.67/4.84 inference(transitivity,[status(thm)],[798, 1170, 403, 793, 5132, 792])).
% 4.67/4.84 tff(5134,plain,
% 4.67/4.84 (ld(a, mult(a, mult(a, mult(c, b)))) = ld(a, mult(a, mult(mult(a, b), c)))),
% 4.67/4.84 inference(monotonicity,[status(thm)],[5133])).
% 4.67/4.84 tff(5135,plain,
% 4.67/4.84 (ld(a, mult(a, mult(mult(a, b), c))) = ld(a, mult(a, mult(a, mult(c, b))))),
% 4.67/4.84 inference(symmetry,[status(thm)],[5134])).
% 4.67/4.84 tff(5136,plain,
% 4.67/4.84 (mult(mult(a, b), c) = mult(a, mult(c, b))),
% 4.67/4.84 inference(transitivity,[status(thm)],[561, 5135, 802])).
% 4.67/4.84 tff(5137,plain,
% 4.67/4.84 ($false),
% 4.67/4.84 inference(unit_resolution,[status(thm)],[1787, 5136])).
% 4.67/4.84 tff(5138,plain,((mult(mult(a, b), mult(a, c)) = mult(a, mult(b, mult(a, c)))) | (mult(mult(a, b), c) = mult(a, mult(c, b))) | (~(mult(mult(mult(a, b), c), a) = mult(mult(a, b), mult(a, c)))) | (~(mult(mult(a, c), b) = mult(a, mult(c, b)))) | (~(mult(mult(a, b), c) = mult(a, mult(b, c)))) | (~(mult(mult(b, c), a) = mult(b, mult(a, c))))), inference(lemma,lemma(discharge,[]))).
% 4.67/4.84 tff(5139,plain,
% 4.67/4.84 (mult(mult(a, b), mult(a, c)) = mult(a, mult(b, mult(a, c)))),
% 4.67/4.84 inference(unit_resolution,[status(thm)],[5138, 5123, 4887, 4910, 1790, 1787])).
% 4.67/4.84 tff(5140,plain,
% 4.67/4.84 ((~(mult(mult(a, a), mult(b, c)) = mult(a, mult(a, mult(b, c))))) | (~(mult(mult(a, mult(b, c)), a) = mult(a, mult(mult(b, c), a))))),
% 4.67/4.84 inference(unit_resolution,[status(thm)],[2627, 3404])).
% 4.67/4.84 tff(5141,plain,
% 4.67/4.84 (~((~(mult(mult(a, a), mult(b, c)) = mult(a, mult(mult(b, c), a)))) | (~(mult(mult(a, mult(b, c)), a) = mult(a, mult(a, mult(b, c))))))),
% 4.67/4.84 inference(unit_resolution,[status(thm)],[504, 5140])).
% 4.67/4.84 tff(5142,plain,
% 4.67/4.84 (mult(mult(a, mult(b, c)), a) = mult(a, mult(a, mult(b, c)))),
% 4.67/4.84 inference(unit_resolution,[status(thm)],[95, 5141])).
% 4.67/4.84 tff(5143,plain,
% 4.67/4.84 (mult(a, mult(mult(b, c), a)) = mult(a, mult(a, mult(b, c)))),
% 4.67/4.84 inference(transitivity,[status(thm)],[3892, 405, 403, 793, 5142])).
% 4.67/4.84 tff(5144,plain,
% 4.67/4.84 ((mult(mult(a, a), mult(b, c)) = mult(a, mult(mult(b, c), a))) <=> (mult(mult(a, a), mult(b, c)) = mult(a, mult(a, mult(b, c))))),
% 4.67/4.84 inference(monotonicity,[status(thm)],[5143])).
% 4.67/4.84 tff(5145,plain,
% 4.67/4.84 ((mult(mult(a, a), mult(b, c)) = mult(a, mult(a, mult(b, c)))) <=> (mult(mult(a, a), mult(b, c)) = mult(a, mult(mult(b, c), a)))),
% 4.67/4.84 inference(symmetry,[status(thm)],[5144])).
% 4.67/4.84 tff(5146,plain,
% 4.67/4.84 ((~(mult(mult(a, a), mult(b, c)) = mult(a, mult(a, mult(b, c))))) <=> (~(mult(mult(a, a), mult(b, c)) = mult(a, mult(mult(b, c), a))))),
% 4.67/4.84 inference(monotonicity,[status(thm)],[5145])).
% 4.67/4.84 tff(5147,plain,
% 4.67/4.84 (~(mult(mult(a, a), mult(b, c)) = mult(a, mult(mult(b, c), a)))),
% 4.67/4.84 inference(modus_ponens,[status(thm)],[3404, 5146])).
% 4.67/4.84 tff(5148,plain,
% 4.67/4.84 (mult(mult(a, a), mult(b, c)) = mult(a, mult(mult(b, c), a))),
% 4.67/4.84 inference(unit_resolution,[status(thm)],[100, 5141])).
% 4.67/4.84 tff(5149,plain,
% 4.67/4.84 ($false),
% 4.67/4.84 inference(unit_resolution,[status(thm)],[5148, 5147])).
% 4.67/4.84 tff(5150,plain,((mult(mult(a, a), mult(b, c)) = mult(a, mult(a, mult(b, c)))) | (~(mult(mult(mult(a, b), c), a) = mult(mult(a, b), mult(a, c)))) | (~(mult(mult(a, b), mult(a, c)) = mult(a, mult(b, mult(a, c))))) | (~(mult(mult(b, c), a) = mult(b, mult(a, c)))) | (~(mult(mult(a, b), c) = mult(a, mult(b, c))))), inference(lemma,lemma(discharge,[]))).
% 4.67/4.84 tff(5151,plain,
% 4.67/4.84 (mult(mult(a, a), mult(b, c)) = mult(a, mult(a, mult(b, c)))),
% 4.67/4.84 inference(unit_resolution,[status(thm)],[5150, 5139, 1790, 4910, 5123])).
% 4.67/4.84 tff(5152,plain,
% 4.67/4.84 ((mult(mult(b, c), a) = mult(b, mult(c, a))) <=> (mult(b, mult(a, c)) = mult(b, mult(c, a)))),
% 4.67/4.84 inference(monotonicity,[status(thm)],[4910])).
% 4.67/4.84 tff(5153,plain,
% 4.67/4.84 ((mult(mult(b, c), a) = mult(b, mult(c, a))) <=> (mult(b, mult(c, a)) = mult(b, mult(a, c)))),
% 4.67/4.84 inference(transitivity,[status(thm)],[5152, 727])).
% 4.67/4.84 tff(5154,plain,
% 4.67/4.84 ((~(mult(mult(b, c), a) = mult(b, mult(c, a)))) <=> (~(mult(b, mult(c, a)) = mult(b, mult(a, c))))),
% 4.67/4.84 inference(monotonicity,[status(thm)],[5153])).
% 4.67/4.84 tff(5155,plain,
% 4.67/4.84 (~(mult(b, mult(c, a)) = mult(b, mult(a, c)))),
% 4.67/4.84 inference(modus_ponens,[status(thm)],[4923, 5154])).
% 4.67/4.84 tff(5156,plain,
% 4.67/4.84 (~(mult(c, a) = mult(a, c))),
% 4.67/4.84 inference(unit_resolution,[status(thm)],[2459, 5155])).
% 4.67/4.84 tff(5157,plain,
% 4.67/4.84 (mult(a, mult(mult(c, a), b)) = mult(a, mult(a, mult(c, b)))),
% 4.67/4.84 inference(transitivity,[status(thm)],[2024, 989, 1106, 2196, 249])).
% 4.67/4.84 tff(5158,plain,
% 4.67/4.84 (ld(a, mult(a, mult(mult(c, a), b))) = ld(a, mult(a, mult(a, mult(c, b))))),
% 4.67/4.84 inference(monotonicity,[status(thm)],[5157])).
% 4.67/4.84 tff(5159,plain,
% 4.67/4.84 (mult(mult(c, a), b) = mult(mult(a, c), b)),
% 4.67/4.84 inference(transitivity,[status(thm)],[210, 5158, 802, 797])).
% 4.67/4.84 tff(5160,plain,
% 4.67/4.84 (rd(mult(mult(c, a), b), b) = rd(mult(mult(a, c), b), b)),
% 4.67/4.84 inference(monotonicity,[status(thm)],[5159])).
% 4.67/4.84 tff(5161,plain,
% 4.67/4.84 (mult(c, a) = mult(a, c)),
% 4.67/4.84 inference(transitivity,[status(thm)],[359, 5160, 344])).
% 4.67/4.84 tff(5162,plain,
% 4.67/4.84 ($false),
% 4.67/4.84 inference(unit_resolution,[status(thm)],[2466, 5161])).
% 4.67/4.84 tff(5163,plain,((~(mult(mult(a, c), mult(a, b)) = mult(a, mult(c, mult(a, b))))) | (mult(c, a) = mult(a, c)) | (~(mult(mult(a, c), b) = mult(a, mult(c, b)))) | (~(mult(mult(a, mult(c, b)), a) = mult(a, mult(a, mult(c, b))))) | (~(mult(mult(mult(a, c), b), a) = mult(mult(a, c), mult(a, b)))) | (~(mult(mult(c, a), b) = mult(c, mult(a, b))))), inference(lemma,lemma(discharge,[]))).
% 4.67/4.84 tff(5164,plain,
% 4.67/4.84 (~(mult(mult(a, c), mult(a, b)) = mult(a, mult(c, mult(a, b))))),
% 4.67/4.84 inference(unit_resolution,[status(thm)],[5163, 5156, 4887, 249, 971, 421])).
% 4.67/4.84 tff(5165,plain,
% 4.67/4.84 (~(mult(mult(mult(a, a), b), c) = mult(mult(a, a), mult(b, c)))),
% 4.67/4.84 inference(unit_resolution,[status(thm)],[5119, 5164, 1790, 2168, 5151])).
% 4.67/4.84 tff(5166,plain,
% 4.67/4.84 ((~(mult(mult(mult(a, a), b), c) = mult(mult(a, a), mult(b, c)))) | (~(mult(mult(mult(a, a), c), b) = mult(mult(a, a), mult(c, b))))),
% 4.67/4.84 inference(unit_resolution,[status(thm)],[317, 5165])).
% 4.67/4.84 tff(5167,plain,
% 4.67/4.84 (~((~(mult(mult(mult(a, a), b), c) = mult(mult(a, a), mult(c, b)))) | (~(mult(mult(mult(a, a), c), b) = mult(mult(a, a), mult(b, c)))))),
% 4.67/4.84 inference(unit_resolution,[status(thm)],[338, 5166])).
% 4.67/4.84 tff(5168,plain,
% 4.67/4.84 (mult(mult(mult(a, a), b), c) = mult(mult(a, a), mult(c, b))),
% 4.67/4.84 inference(unit_resolution,[status(thm)],[326, 5167])).
% 4.67/4.84 tff(5169,plain,
% 4.67/4.84 (~(mult(mult(a, mult(b, a)), c) = mult(a, mult(c, mult(b, a))))),
% 4.67/4.84 inference(unit_resolution,[status(thm)],[2019, 5168, 1565, 716, 1883])).
% 4.67/4.84 tff(5170,plain,
% 4.67/4.84 ((~(mult(mult(a, c), mult(b, a)) = mult(a, mult(mult(b, a), c)))) | (~(mult(mult(a, mult(b, a)), c) = mult(a, mult(c, mult(b, a)))))),
% 4.67/4.84 inference(unit_resolution,[status(thm)],[217, 5169])).
% 4.67/4.84 tff(5171,plain,
% 4.67/4.84 (~((~(mult(mult(a, c), mult(b, a)) = mult(a, mult(c, mult(b, a))))) | (~(mult(mult(a, mult(b, a)), c) = mult(a, mult(mult(b, a), c)))))),
% 4.67/4.84 inference(unit_resolution,[status(thm)],[132, 5170])).
% 4.67/4.84 tff(5172,plain,
% 4.67/4.84 (mult(mult(a, c), mult(b, a)) = mult(a, mult(c, mult(b, a)))),
% 4.67/4.84 inference(unit_resolution,[status(thm)],[120, 5171])).
% 4.67/4.84 tff(5173,plain,
% 4.67/4.84 (mult(mult(mult(b, c), a), a) = mult(mult(b, mult(a, c)), a)),
% 4.67/4.84 inference(monotonicity,[status(thm)],[3449])).
% 4.67/4.84 tff(5174,plain,
% 4.67/4.84 (mult(mult(b, mult(a, c)), a) = mult(mult(mult(b, c), a), a)),
% 4.67/4.84 inference(symmetry,[status(thm)],[5173])).
% 4.67/4.84 tff(5175,assumption,(mult(mult(b, mult(a, c)), a) = mult(b, mult(mult(a, c), a))), introduced(assumption)).
% 4.67/4.84 tff(5176,plain,
% 4.67/4.84 (mult(b, mult(mult(a, c), a)) = mult(mult(b, mult(a, c)), a)),
% 4.67/4.84 inference(symmetry,[status(thm)],[5175])).
% 4.67/4.84 tff(5177,plain,
% 4.67/4.84 (mult(mult(b, mult(c, a)), a) = mult(mult(mult(b, a), c), a)),
% 4.67/4.84 inference(symmetry,[status(thm)],[3490])).
% 4.67/4.84 tff(5178,plain,
% 4.67/4.84 (mult(mult(b, mult(c, a)), a) = mult(mult(mult(b, c), a), a)),
% 4.67/4.84 inference(transitivity,[status(thm)],[5177, 862, 5176, 5174])).
% 4.67/4.84 tff(5179,plain,
% 4.67/4.84 (rd(mult(mult(b, mult(c, a)), a), a) = rd(mult(mult(mult(b, c), a), a), a)),
% 4.67/4.84 inference(monotonicity,[status(thm)],[5178])).
% 4.67/4.84 tff(5180,plain,
% 4.67/4.84 (rd(mult(mult(mult(b, c), a), a), a) = rd(mult(mult(b, mult(c, a)), a), a)),
% 4.67/4.84 inference(symmetry,[status(thm)],[5179])).
% 4.67/4.84 tff(5181,plain,
% 4.67/4.84 ((~![B: $i, A: $i] : (rd(mult(A, B), B) = A)) | (rd(mult(mult(mult(b, c), a), a), a) = mult(mult(b, c), a))),
% 4.67/4.84 inference(quant_inst,[status(thm)],[])).
% 4.67/4.84 tff(5182,plain,
% 4.67/4.84 (rd(mult(mult(mult(b, c), a), a), a) = mult(mult(b, c), a)),
% 4.67/4.84 inference(unit_resolution,[status(thm)],[5181, 72])).
% 4.67/4.84 tff(5183,plain,
% 4.67/4.84 (mult(mult(b, c), a) = rd(mult(mult(mult(b, c), a), a), a)),
% 4.67/4.84 inference(symmetry,[status(thm)],[5182])).
% 4.67/4.84 tff(5184,plain,
% 4.67/4.84 (mult(mult(b, c), a) = mult(b, mult(c, a))),
% 4.67/4.84 inference(transitivity,[status(thm)],[5183, 5180, 848])).
% 4.67/4.84 tff(5185,plain,
% 4.67/4.84 ($false),
% 4.67/4.84 inference(unit_resolution,[status(thm)],[3450, 5184])).
% 4.67/4.84 tff(5186,plain,((~(mult(mult(b, mult(a, c)), a) = mult(b, mult(mult(a, c), a)))) | (mult(mult(b, c), a) = mult(b, mult(c, a))) | (~(mult(mult(b, a), c) = mult(b, mult(c, a)))) | (~(mult(mult(b, c), a) = mult(b, mult(a, c))))), inference(lemma,lemma(discharge,[]))).
% 4.67/4.84 tff(5187,plain,
% 4.67/4.84 ((~(mult(mult(b, mult(a, c)), a) = mult(b, mult(mult(a, c), a)))) | (mult(mult(b, c), a) = mult(b, mult(c, a))) | (~(mult(mult(b, c), a) = mult(b, mult(a, c))))),
% 4.67/4.84 inference(unit_resolution,[status(thm)],[5186, 3427])).
% 4.67/4.84 tff(5188,plain,
% 4.67/4.84 (~(mult(mult(b, mult(a, c)), a) = mult(b, mult(mult(a, c), a)))),
% 4.67/4.84 inference(unit_resolution,[status(thm)],[5187, 4923, 4910])).
% 4.67/4.84 tff(5189,plain,
% 4.67/4.84 (((~(mult(mult(b, a), mult(a, c)) = mult(b, mult(a, mult(a, c))))) | (~(mult(mult(b, mult(a, c)), a) = mult(b, mult(mult(a, c), a))))) | (mult(mult(b, mult(a, c)), a) = mult(b, mult(mult(a, c), a)))),
% 4.67/4.84 inference(tautology,[status(thm)],[])).
% 4.67/4.84 tff(5190,plain,
% 4.67/4.84 ((~(mult(mult(b, a), mult(a, c)) = mult(b, mult(a, mult(a, c))))) | (~(mult(mult(b, mult(a, c)), a) = mult(b, mult(mult(a, c), a))))),
% 4.67/4.84 inference(unit_resolution,[status(thm)],[5189, 5188])).
% 4.67/4.84 tff(5191,plain,
% 4.67/4.84 (((~![X0: $i, X1: $i, X2: $i] : ((~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X2, X1)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X1, X2)))))) | (~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X1, X2)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X2, X1)))))))) | ((~((~(mult(mult(b, a), mult(a, c)) = mult(b, mult(mult(a, c), a)))) | (~(mult(mult(b, mult(a, c)), a) = mult(b, mult(a, mult(a, c))))))) | (~((~(mult(mult(b, a), mult(a, c)) = mult(b, mult(a, mult(a, c))))) | (~(mult(mult(b, mult(a, c)), a) = mult(b, mult(mult(a, c), a)))))))) <=> ((~![X0: $i, X1: $i, X2: $i] : ((~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X2, X1)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X1, X2)))))) | (~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X1, X2)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X2, X1)))))))) | (~((~(mult(mult(b, a), mult(a, c)) = mult(b, mult(mult(a, c), a)))) | (~(mult(mult(b, mult(a, c)), a) = mult(b, mult(a, mult(a, c))))))) | (~((~(mult(mult(b, a), mult(a, c)) = mult(b, mult(a, mult(a, c))))) | (~(mult(mult(b, mult(a, c)), a) = mult(b, mult(mult(a, c), a)))))))),
% 4.67/4.85 inference(rewrite,[status(thm)],[])).
% 4.67/4.85 tff(5192,plain,
% 4.67/4.85 (((~((~(mult(mult(b, a), mult(a, c)) = mult(b, mult(mult(a, c), a)))) | (~(mult(mult(b, mult(a, c)), a) = mult(b, mult(a, mult(a, c))))))) | (~((~(mult(mult(b, a), mult(a, c)) = mult(b, mult(a, mult(a, c))))) | (~(mult(mult(b, mult(a, c)), a) = mult(b, mult(mult(a, c), a))))))) <=> ((~((~(mult(mult(b, a), mult(a, c)) = mult(b, mult(mult(a, c), a)))) | (~(mult(mult(b, mult(a, c)), a) = mult(b, mult(a, mult(a, c))))))) | (~((~(mult(mult(b, a), mult(a, c)) = mult(b, mult(a, mult(a, c))))) | (~(mult(mult(b, mult(a, c)), a) = mult(b, mult(mult(a, c), a)))))))),
% 4.67/4.85 inference(rewrite,[status(thm)],[])).
% 4.67/4.85 tff(5193,plain,
% 4.67/4.85 ((~((~(mult(mult(b, mult(a, c)), a) = mult(b, mult(mult(a, c), a)))) | (~(mult(mult(b, a), mult(a, c)) = mult(b, mult(a, mult(a, c))))))) <=> (~((~(mult(mult(b, a), mult(a, c)) = mult(b, mult(a, mult(a, c))))) | (~(mult(mult(b, mult(a, c)), a) = mult(b, mult(mult(a, c), a))))))),
% 4.67/4.85 inference(rewrite,[status(thm)],[])).
% 4.67/4.85 tff(5194,plain,
% 4.67/4.85 ((~((~(mult(mult(b, mult(a, c)), a) = mult(b, mult(a, mult(a, c))))) | (~(mult(mult(b, a), mult(a, c)) = mult(b, mult(mult(a, c), a)))))) <=> (~((~(mult(mult(b, a), mult(a, c)) = mult(b, mult(mult(a, c), a)))) | (~(mult(mult(b, mult(a, c)), a) = mult(b, mult(a, mult(a, c)))))))),
% 4.67/4.85 inference(rewrite,[status(thm)],[])).
% 4.67/4.85 tff(5195,plain,
% 4.67/4.85 (((~((~(mult(mult(b, mult(a, c)), a) = mult(b, mult(a, mult(a, c))))) | (~(mult(mult(b, a), mult(a, c)) = mult(b, mult(mult(a, c), a)))))) | (~((~(mult(mult(b, mult(a, c)), a) = mult(b, mult(mult(a, c), a)))) | (~(mult(mult(b, a), mult(a, c)) = mult(b, mult(a, mult(a, c)))))))) <=> ((~((~(mult(mult(b, a), mult(a, c)) = mult(b, mult(mult(a, c), a)))) | (~(mult(mult(b, mult(a, c)), a) = mult(b, mult(a, mult(a, c))))))) | (~((~(mult(mult(b, a), mult(a, c)) = mult(b, mult(a, mult(a, c))))) | (~(mult(mult(b, mult(a, c)), a) = mult(b, mult(mult(a, c), a)))))))),
% 4.67/4.85 inference(monotonicity,[status(thm)],[5194, 5193])).
% 4.67/4.85 tff(5196,plain,
% 4.67/4.85 (((~((~(mult(mult(b, mult(a, c)), a) = mult(b, mult(a, mult(a, c))))) | (~(mult(mult(b, a), mult(a, c)) = mult(b, mult(mult(a, c), a)))))) | (~((~(mult(mult(b, mult(a, c)), a) = mult(b, mult(mult(a, c), a)))) | (~(mult(mult(b, a), mult(a, c)) = mult(b, mult(a, mult(a, c)))))))) <=> ((~((~(mult(mult(b, a), mult(a, c)) = mult(b, mult(mult(a, c), a)))) | (~(mult(mult(b, mult(a, c)), a) = mult(b, mult(a, mult(a, c))))))) | (~((~(mult(mult(b, a), mult(a, c)) = mult(b, mult(a, mult(a, c))))) | (~(mult(mult(b, mult(a, c)), a) = mult(b, mult(mult(a, c), a)))))))),
% 4.67/4.85 inference(transitivity,[status(thm)],[5195, 5192])).
% 4.67/4.85 tff(5197,plain,
% 4.67/4.85 (((~![X0: $i, X1: $i, X2: $i] : ((~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X2, X1)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X1, X2)))))) | (~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X1, X2)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X2, X1)))))))) | ((~((~(mult(mult(b, mult(a, c)), a) = mult(b, mult(a, mult(a, c))))) | (~(mult(mult(b, a), mult(a, c)) = mult(b, mult(mult(a, c), a)))))) | (~((~(mult(mult(b, mult(a, c)), a) = mult(b, mult(mult(a, c), a)))) | (~(mult(mult(b, a), mult(a, c)) = mult(b, mult(a, mult(a, c))))))))) <=> ((~![X0: $i, X1: $i, X2: $i] : ((~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X2, X1)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X1, X2)))))) | (~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X1, X2)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X2, X1)))))))) | ((~((~(mult(mult(b, a), mult(a, c)) = mult(b, mult(mult(a, c), a)))) | (~(mult(mult(b, mult(a, c)), a) = mult(b, mult(a, mult(a, c))))))) | (~((~(mult(mult(b, a), mult(a, c)) = mult(b, mult(a, mult(a, c))))) | (~(mult(mult(b, mult(a, c)), a) = mult(b, mult(mult(a, c), a))))))))),
% 4.67/4.85 inference(monotonicity,[status(thm)],[5196])).
% 4.67/4.85 tff(5198,plain,
% 4.67/4.85 (((~![X0: $i, X1: $i, X2: $i] : ((~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X2, X1)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X1, X2)))))) | (~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X1, X2)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X2, X1)))))))) | ((~((~(mult(mult(b, mult(a, c)), a) = mult(b, mult(a, mult(a, c))))) | (~(mult(mult(b, a), mult(a, c)) = mult(b, mult(mult(a, c), a)))))) | (~((~(mult(mult(b, mult(a, c)), a) = mult(b, mult(mult(a, c), a)))) | (~(mult(mult(b, a), mult(a, c)) = mult(b, mult(a, mult(a, c))))))))) <=> ((~![X0: $i, X1: $i, X2: $i] : ((~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X2, X1)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X1, X2)))))) | (~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X1, X2)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X2, X1)))))))) | (~((~(mult(mult(b, a), mult(a, c)) = mult(b, mult(mult(a, c), a)))) | (~(mult(mult(b, mult(a, c)), a) = mult(b, mult(a, mult(a, c))))))) | (~((~(mult(mult(b, a), mult(a, c)) = mult(b, mult(a, mult(a, c))))) | (~(mult(mult(b, mult(a, c)), a) = mult(b, mult(mult(a, c), a)))))))),
% 4.67/4.85 inference(transitivity,[status(thm)],[5197, 5191])).
% 4.67/4.85 tff(5199,plain,
% 4.67/4.85 ((~![X0: $i, X1: $i, X2: $i] : ((~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X2, X1)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X1, X2)))))) | (~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X1, X2)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X2, X1)))))))) | ((~((~(mult(mult(b, mult(a, c)), a) = mult(b, mult(a, mult(a, c))))) | (~(mult(mult(b, a), mult(a, c)) = mult(b, mult(mult(a, c), a)))))) | (~((~(mult(mult(b, mult(a, c)), a) = mult(b, mult(mult(a, c), a)))) | (~(mult(mult(b, a), mult(a, c)) = mult(b, mult(a, mult(a, c))))))))),
% 4.67/4.85 inference(quant_inst,[status(thm)],[])).
% 4.67/4.85 tff(5200,plain,
% 4.67/4.85 ((~![X0: $i, X1: $i, X2: $i] : ((~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X2, X1)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X1, X2)))))) | (~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X1, X2)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X2, X1)))))))) | (~((~(mult(mult(b, a), mult(a, c)) = mult(b, mult(mult(a, c), a)))) | (~(mult(mult(b, mult(a, c)), a) = mult(b, mult(a, mult(a, c))))))) | (~((~(mult(mult(b, a), mult(a, c)) = mult(b, mult(a, mult(a, c))))) | (~(mult(mult(b, mult(a, c)), a) = mult(b, mult(mult(a, c), a))))))),
% 4.67/4.85 inference(modus_ponens,[status(thm)],[5199, 5198])).
% 4.67/4.85 tff(5201,plain,
% 4.67/4.85 ((~((~(mult(mult(b, a), mult(a, c)) = mult(b, mult(mult(a, c), a)))) | (~(mult(mult(b, mult(a, c)), a) = mult(b, mult(a, mult(a, c))))))) | (~((~(mult(mult(b, a), mult(a, c)) = mult(b, mult(a, mult(a, c))))) | (~(mult(mult(b, mult(a, c)), a) = mult(b, mult(mult(a, c), a))))))),
% 4.67/4.85 inference(unit_resolution,[status(thm)],[5200, 30])).
% 4.67/4.85 tff(5202,plain,
% 4.67/4.85 (~((~(mult(mult(b, a), mult(a, c)) = mult(b, mult(mult(a, c), a)))) | (~(mult(mult(b, mult(a, c)), a) = mult(b, mult(a, mult(a, c))))))),
% 4.67/4.85 inference(unit_resolution,[status(thm)],[5201, 5190])).
% 4.67/4.85 tff(5203,plain,
% 4.67/4.85 (((~(mult(mult(b, a), mult(a, c)) = mult(b, mult(mult(a, c), a)))) | (~(mult(mult(b, mult(a, c)), a) = mult(b, mult(a, mult(a, c)))))) | (mult(mult(b, a), mult(a, c)) = mult(b, mult(mult(a, c), a)))),
% 4.67/4.85 inference(tautology,[status(thm)],[])).
% 4.67/4.85 tff(5204,plain,
% 4.67/4.85 (mult(mult(b, a), mult(a, c)) = mult(b, mult(mult(a, c), a))),
% 4.67/4.85 inference(unit_resolution,[status(thm)],[5203, 5202])).
% 4.67/4.85 tff(5205,plain,
% 4.67/4.85 (~(mult(mult(mult(b, a), c), a) = mult(mult(b, a), mult(c, a)))),
% 4.67/4.85 inference(unit_resolution,[status(thm)],[3515, 4923, 4910])).
% 4.67/4.85 tff(5206,plain,
% 4.67/4.85 ((~(mult(mult(mult(b, a), a), c) = mult(mult(b, a), mult(a, c)))) | (~(mult(mult(mult(b, a), c), a) = mult(mult(b, a), mult(c, a))))),
% 4.67/4.85 inference(unit_resolution,[status(thm)],[3442, 5205])).
% 4.67/4.85 tff(5207,plain,
% 4.67/4.85 (~((~(mult(mult(mult(b, a), a), c) = mult(mult(b, a), mult(c, a)))) | (~(mult(mult(mult(b, a), c), a) = mult(mult(b, a), mult(a, c)))))),
% 4.67/4.85 inference(unit_resolution,[status(thm)],[3440, 5206])).
% 4.67/4.85 tff(5208,plain,
% 4.67/4.85 (mult(mult(mult(b, a), c), a) = mult(mult(b, a), mult(a, c))),
% 4.67/4.85 inference(unit_resolution,[status(thm)],[3435, 5207])).
% 4.67/4.85 tff(5209,plain,
% 4.67/4.85 (mult(b, mult(a, mult(c, a))) = mult(mult(b, mult(c, a)), a)),
% 4.67/4.85 inference(symmetry,[status(thm)],[4925])).
% 4.67/4.85 tff(5210,plain,
% 4.67/4.85 (mult(b, mult(a, mult(c, a))) = mult(b, mult(mult(a, c), a))),
% 4.67/4.85 inference(transitivity,[status(thm)],[5209, 4657, 5208, 5204])).
% 4.67/4.85 tff(5211,plain,
% 4.67/4.85 (ld(b, mult(b, mult(a, mult(c, a)))) = ld(b, mult(b, mult(mult(a, c), a)))),
% 4.67/4.85 inference(monotonicity,[status(thm)],[5210])).
% 4.67/4.85 tff(5212,plain,
% 4.67/4.85 (mult(a, mult(c, a)) = mult(mult(a, c), a)),
% 4.67/4.85 inference(transitivity,[status(thm)],[3780, 5211, 3447])).
% 4.67/4.85 tff(5213,plain,
% 4.67/4.85 (mult(mult(a, mult(c, a)), b) = mult(mult(mult(a, c), a), b)),
% 4.67/4.85 inference(monotonicity,[status(thm)],[5212])).
% 4.67/4.85 tff(5214,plain,
% 4.67/4.85 (~(mult(mult(a, mult(c, a)), b) = mult(a, mult(mult(c, a), b)))),
% 4.67/4.85 inference(unit_resolution,[status(thm)],[4872, 5172, 4925, 4896, 1526])).
% 4.67/4.85 tff(5215,plain,
% 4.67/4.85 ((~(mult(mult(a, b), mult(c, a)) = mult(a, mult(b, mult(c, a))))) | (~(mult(mult(a, mult(c, a)), b) = mult(a, mult(mult(c, a), b))))),
% 4.67/4.85 inference(unit_resolution,[status(thm)],[739, 5214])).
% 4.67/4.85 tff(5216,plain,
% 4.67/4.85 (~((~(mult(mult(a, b), mult(c, a)) = mult(a, mult(mult(c, a), b)))) | (~(mult(mult(a, mult(c, a)), b) = mult(a, mult(b, mult(c, a))))))),
% 4.67/4.85 inference(unit_resolution,[status(thm)],[201, 5215])).
% 4.67/4.85 tff(5217,plain,
% 4.67/4.85 (mult(mult(a, mult(c, a)), b) = mult(a, mult(b, mult(c, a)))),
% 4.67/4.85 inference(unit_resolution,[status(thm)],[735, 5216])).
% 4.67/4.85 tff(5218,plain,
% 4.67/4.85 (mult(a, mult(b, mult(c, a))) = mult(mult(a, mult(c, a)), b)),
% 4.67/4.85 inference(symmetry,[status(thm)],[5217])).
% 4.67/4.85 tff(5219,plain,
% 4.67/4.85 (mult(mult(a, mult(b, a)), c) = mult(a, mult(mult(b, a), c))),
% 4.67/4.85 inference(unit_resolution,[status(thm)],[1395, 5171])).
% 4.67/4.85 tff(5220,plain,
% 4.67/4.85 (mult(mult(a, mult(b, a)), c) = mult(a, mult(c, mult(b, a)))),
% 4.67/4.85 inference(transitivity,[status(thm)],[5219, 4878, 5218, 5213, 1526, 5172])).
% 4.67/4.85 tff(5221,plain,
% 4.67/4.85 ($false),
% 4.67/4.85 inference(unit_resolution,[status(thm)],[5169, 5220])).
% 4.67/4.85 tff(5222,plain,((mult(mult(a, b), c) = mult(a, mult(c, b))) | (~(mult(mult(a, a), mult(c, b)) = mult(a, mult(mult(c, b), a)))) | (~(mult(mult(a, mult(c, b)), a) = mult(a, mult(a, mult(c, b))))) | (mult(mult(mult(a, c), b), a) = mult(mult(a, c), mult(b, a))) | (mult(mult(c, a), b) = mult(c, mult(b, a)))), inference(lemma,lemma(discharge,[]))).
% 4.67/4.85 tff(5223,plain,
% 4.67/4.85 (mult(mult(a, b), c) = mult(a, mult(c, b))),
% 4.67/4.85 inference(unit_resolution,[status(thm)],[5222, 320, 89, 614, 40])).
% 4.67/4.85 tff(5224,plain,
% 4.67/4.85 (mult(mult(a, b), c) = mult(a, mult(b, c))),
% 4.67/4.85 inference(unit_resolution,[status(thm)],[1930, 5223, 4887])).
% 4.67/4.85 tff(5225,plain,
% 4.67/4.85 (mult(mult(mult(a, a), b), c) = mult(mult(a, a), mult(c, b))),
% 4.67/4.85 inference(unit_resolution,[status(thm)],[1975, 5223, 5224])).
% 4.67/4.85 tff(5226,plain,
% 4.67/4.85 (~(mult(mult(a, mult(b, a)), c) = mult(a, mult(c, mult(b, a))))),
% 4.67/4.85 inference(unit_resolution,[status(thm)],[2019, 5225, 1565, 716, 320])).
% 4.67/4.85 tff(5227,plain,
% 4.67/4.85 ((~(mult(mult(a, c), mult(b, a)) = mult(a, mult(mult(b, a), c)))) | (~(mult(mult(a, mult(b, a)), c) = mult(a, mult(c, mult(b, a)))))),
% 4.67/4.85 inference(unit_resolution,[status(thm)],[217, 5226])).
% 4.67/4.85 tff(5228,plain,
% 4.67/4.85 (~((~(mult(mult(a, c), mult(b, a)) = mult(a, mult(c, mult(b, a))))) | (~(mult(mult(a, mult(b, a)), c) = mult(a, mult(mult(b, a), c)))))),
% 4.67/4.85 inference(unit_resolution,[status(thm)],[132, 5227])).
% 4.67/4.85 tff(5229,plain,
% 4.67/4.85 (mult(mult(a, c), mult(b, a)) = mult(a, mult(c, mult(b, a)))),
% 4.67/4.85 inference(unit_resolution,[status(thm)],[120, 5228])).
% 4.67/4.85 tff(5230,plain,
% 4.67/4.85 (~(mult(mult(b, c), a) = mult(b, mult(c, a)))),
% 4.67/4.85 inference(unit_resolution,[status(thm)],[2033, 5223, 1565, 5224, 716, 421])).
% 4.67/4.85 tff(5231,plain,
% 4.67/4.85 ((~(mult(mult(b, c), a) = mult(b, mult(c, a)))) | (~(mult(mult(b, a), c) = mult(b, mult(a, c))))),
% 4.67/4.85 inference(unit_resolution,[status(thm)],[36, 5230])).
% 4.67/4.85 tff(5232,plain,
% 4.67/4.85 (~((~(mult(mult(b, c), a) = mult(b, mult(a, c)))) | (~(mult(mult(b, a), c) = mult(b, mult(c, a)))))),
% 4.67/4.85 inference(unit_resolution,[status(thm)],[34, 5231])).
% 4.67/4.85 tff(5233,plain,
% 4.67/4.85 (mult(mult(b, c), a) = mult(b, mult(a, c))),
% 4.67/4.85 inference(unit_resolution,[status(thm)],[744, 5232])).
% 4.67/4.85 tff(5234,plain,
% 4.67/4.85 ((~(mult(mult(b, a), mult(c, a)) = mult(b, mult(a, mult(c, a))))) | (~(mult(mult(b, mult(c, a)), a) = mult(b, mult(mult(c, a), a))))),
% 4.67/4.85 inference(unit_resolution,[status(thm)],[4664, 5233, 5230])).
% 4.67/4.85 tff(5235,plain,
% 4.67/4.85 (mult(mult(b, mult(c, a)), a) = mult(b, mult(a, mult(c, a)))),
% 4.67/4.85 inference(unit_resolution,[status(thm)],[3488, 5234])).
% 4.67/4.85 tff(5236,plain,
% 4.67/4.85 (~(mult(mult(a, mult(c, a)), b) = mult(a, mult(mult(c, a), b)))),
% 4.67/4.85 inference(unit_resolution,[status(thm)],[4872, 5235, 5229, 4896, 1526])).
% 4.67/4.85 tff(5237,plain,
% 4.67/4.85 ((~(mult(mult(a, b), mult(c, a)) = mult(a, mult(b, mult(c, a))))) | (~(mult(mult(a, mult(c, a)), b) = mult(a, mult(mult(c, a), b))))),
% 4.67/4.85 inference(unit_resolution,[status(thm)],[739, 5236])).
% 4.67/4.85 tff(5238,plain,
% 4.67/4.85 (~((~(mult(mult(a, b), mult(c, a)) = mult(a, mult(mult(c, a), b)))) | (~(mult(mult(a, mult(c, a)), b) = mult(a, mult(b, mult(c, a))))))),
% 4.67/4.85 inference(unit_resolution,[status(thm)],[201, 5237])).
% 4.67/4.85 tff(5239,plain,
% 4.67/4.85 (mult(mult(a, b), mult(c, a)) = mult(a, mult(mult(c, a), b))),
% 4.67/4.85 inference(unit_resolution,[status(thm)],[203, 5238])).
% 4.67/4.85 tff(5240,plain,
% 4.67/4.85 (~(mult(mult(mult(a, b), c), a) = mult(mult(a, b), mult(c, a)))),
% 4.67/4.85 inference(unit_resolution,[status(thm)],[467, 5239, 2168, 5223, 78, 421, 5225])).
% 4.67/4.85 tff(5241,plain,
% 4.67/4.85 ((~(mult(mult(mult(a, b), a), c) = mult(mult(a, b), mult(a, c)))) | (~(mult(mult(mult(a, b), c), a) = mult(mult(a, b), mult(c, a))))),
% 4.67/4.85 inference(unit_resolution,[status(thm)],[185, 5240])).
% 4.67/4.85 tff(5242,plain,
% 4.67/4.85 (~((~(mult(mult(mult(a, b), a), c) = mult(mult(a, b), mult(c, a)))) | (~(mult(mult(mult(a, b), c), a) = mult(mult(a, b), mult(a, c)))))),
% 4.67/4.85 inference(unit_resolution,[status(thm)],[183, 5241])).
% 4.67/4.85 tff(5243,plain,
% 4.67/4.85 (mult(mult(mult(a, b), a), c) = mult(mult(a, b), mult(c, a))),
% 4.67/4.85 inference(unit_resolution,[status(thm)],[1690, 5242])).
% 4.67/4.85 tff(5244,plain,
% 4.67/4.85 (mult(mult(a, mult(b, a)), c) = mult(a, mult(mult(b, a), c))),
% 4.67/4.85 inference(unit_resolution,[status(thm)],[1395, 5228])).
% 4.67/4.85 tff(5245,plain,
% 4.67/4.85 (mult(a, mult(mult(b, a), c)) = mult(mult(a, mult(b, a)), c)),
% 4.67/4.85 inference(symmetry,[status(thm)],[5244])).
% 4.67/4.85 tff(5246,plain,
% 4.67/4.85 (mult(a, mult(b, mult(c, a))) = mult(a, mult(mult(b, a), c))),
% 4.67/4.85 inference(symmetry,[status(thm)],[4878])).
% 4.67/4.85 tff(5247,plain,
% 4.67/4.85 (mult(mult(a, mult(c, a)), b) = mult(a, mult(b, mult(c, a)))),
% 4.67/4.85 inference(unit_resolution,[status(thm)],[735, 5238])).
% 4.67/4.85 tff(5248,plain,
% 4.67/4.85 (mult(mult(a, mult(c, a)), b) = mult(a, mult(mult(c, a), b))),
% 4.67/4.85 inference(transitivity,[status(thm)],[5247, 5246, 5245, 4952, 5243, 5239])).
% 4.67/4.85 tff(5249,plain,
% 4.67/4.85 ($false),
% 4.67/4.85 inference(unit_resolution,[status(thm)],[5236, 5248])).
% 4.67/4.85 tff(5250,plain,((mult(mult(a, mult(c, b)), a) = mult(a, mult(mult(c, b), a))) | (mult(mult(mult(a, c), b), a) = mult(mult(a, c), mult(b, a))) | (mult(mult(c, a), b) = mult(c, mult(b, a)))), inference(lemma,lemma(discharge,[]))).
% 4.67/4.85 tff(5251,plain,
% 4.67/4.85 (mult(mult(a, mult(c, b)), a) = mult(a, mult(mult(c, b), a))),
% 4.67/4.85 inference(unit_resolution,[status(thm)],[5250, 40, 614])).
% 4.67/4.85 tff(5252,plain,
% 4.67/4.85 (mult(mult(mult(a, c), b), a) = mult(mult(a, c), mult(b, a))),
% 4.67/4.85 inference(transitivity,[status(thm)],[958, 707, 1694, 527])).
% 4.67/4.85 tff(5253,plain,
% 4.67/4.85 (mult(mult(mult(mult(a, c), b), a), b) = mult(mult(mult(a, c), mult(b, a)), b)),
% 4.67/4.85 inference(monotonicity,[status(thm)],[5252])).
% 4.67/4.85 tff(5254,plain,
% 4.67/4.85 (mult(mult(mult(a, c), mult(b, a)), b) = mult(mult(mult(mult(a, c), b), a), b)),
% 4.67/4.85 inference(symmetry,[status(thm)],[5253])).
% 4.67/4.85 tff(5255,plain,
% 4.67/4.85 (mult(mult(mult(a, c), mult(b, a)), b) = mult(mult(a, c), mult(mult(b, a), b))),
% 4.67/4.85 inference(transitivity,[status(thm)],[5254, 3551])).
% 4.67/4.85 tff(5256,plain,
% 4.67/4.85 ($false),
% 4.67/4.85 inference(unit_resolution,[status(thm)],[3555, 5255])).
% 4.67/4.86 tff(5257,plain,((mult(mult(mult(a, c), mult(b, a)), b) = mult(mult(a, c), mult(mult(b, a), b))) | (~(mult(mult(a, c), mult(b, a)) = mult(a, mult(c, mult(b, a))))) | (~(mult(mult(a, mult(c, b)), a) = mult(a, mult(mult(c, b), a)))) | (~(mult(mult(c, b), a) = mult(c, mult(b, a)))) | (~(mult(mult(a, c), b) = mult(a, mult(c, b))))), inference(lemma,lemma(discharge,[]))).
% 4.67/4.86 tff(5258,plain,
% 4.67/4.86 (~(mult(mult(a, c), mult(b, a)) = mult(a, mult(c, mult(b, a))))),
% 4.67/4.86 inference(unit_resolution,[status(thm)],[5257, 5251, 4890, 716, 4887])).
% 4.67/4.86 tff(5259,plain,
% 4.67/4.86 ((~(mult(mult(b, a), mult(c, a)) = mult(b, mult(a, mult(c, a))))) | (~(mult(mult(b, mult(c, a)), a) = mult(b, mult(mult(c, a), a))))),
% 4.67/4.86 inference(unit_resolution,[status(thm)],[4664, 4910, 4923])).
% 4.67/4.86 tff(5260,plain,
% 4.67/4.86 (mult(mult(b, mult(c, a)), a) = mult(b, mult(a, mult(c, a)))),
% 4.67/4.86 inference(unit_resolution,[status(thm)],[3488, 5259])).
% 4.67/4.86 tff(5261,plain,
% 4.67/4.86 ((mult(mult(a, c), mult(b, a)) = mult(a, mult(c, mult(b, a)))) | (mult(mult(a, b), mult(c, a)) = mult(a, mult(mult(c, a), b))) | (~(mult(mult(mult(a, b), a), c) = mult(mult(a, b), mult(c, a)))) | (~(mult(mult(b, mult(c, a)), a) = mult(b, mult(a, mult(c, a)))))),
% 4.67/4.86 inference(unit_resolution,[status(thm)],[3873, 3427])).
% 4.67/4.86 tff(5262,plain,
% 4.67/4.86 (mult(mult(a, b), mult(c, a)) = mult(a, mult(mult(c, a), b))),
% 4.67/4.86 inference(unit_resolution,[status(thm)],[5261, 2431, 119, 3635])).
% 4.67/4.86 tff(5263,plain,
% 4.67/4.86 (mult(a, mult(c, mult(b, a))) = mult(a, mult(mult(c, a), b))),
% 4.67/4.86 inference(transitivity,[status(thm)],[3830, 1692, 2431, 5262])).
% 4.67/4.86 tff(5264,plain,
% 4.67/4.86 (ld(a, mult(a, mult(c, mult(b, a)))) = ld(a, mult(a, mult(mult(c, a), b)))),
% 4.67/4.86 inference(monotonicity,[status(thm)],[5263])).
% 4.67/4.86 tff(5265,plain,
% 4.67/4.86 (ld(a, mult(a, mult(mult(c, a), b))) = ld(a, mult(a, mult(c, mult(b, a))))),
% 4.67/4.86 inference(symmetry,[status(thm)],[5264])).
% 4.67/4.86 tff(5266,plain,
% 4.67/4.86 (mult(mult(c, a), b) = mult(c, mult(b, a))),
% 4.67/4.86 inference(transitivity,[status(thm)],[210, 5265, 531])).
% 4.67/4.86 tff(5267,plain,
% 4.67/4.86 ($false),
% 4.67/4.86 inference(unit_resolution,[status(thm)],[40, 5266])).
% 4.67/4.86 tff(5268,plain,((~(mult(mult(mult(a, b), a), c) = mult(mult(a, b), mult(c, a)))) | (mult(mult(c, a), b) = mult(c, mult(b, a))) | (~(mult(mult(a, b), a) = mult(a, mult(b, a)))) | (mult(mult(a, c), mult(b, a)) = mult(a, mult(c, mult(b, a)))) | (~(mult(mult(b, mult(c, a)), a) = mult(b, mult(a, mult(c, a)))))), inference(lemma,lemma(discharge,[]))).
% 4.67/4.86 tff(5269,plain,
% 4.67/4.86 (~(mult(mult(mult(a, b), a), c) = mult(mult(a, b), mult(c, a)))),
% 4.67/4.86 inference(unit_resolution,[status(thm)],[5268, 5260, 1568, 5258, 40])).
% 4.67/4.86 tff(5270,plain,
% 4.67/4.86 ((~(mult(mult(mult(a, b), a), c) = mult(mult(a, b), mult(c, a)))) | (~(mult(mult(mult(a, b), c), a) = mult(mult(a, b), mult(a, c))))),
% 4.67/4.86 inference(unit_resolution,[status(thm)],[1690, 5269])).
% 4.67/4.86 tff(5271,plain,
% 4.67/4.86 (~((~(mult(mult(mult(a, b), a), c) = mult(mult(a, b), mult(a, c)))) | (~(mult(mult(mult(a, b), c), a) = mult(mult(a, b), mult(c, a)))))),
% 4.67/4.86 inference(unit_resolution,[status(thm)],[183, 5270])).
% 4.67/4.86 tff(5272,plain,
% 4.67/4.86 (mult(mult(mult(a, b), c), a) = mult(mult(a, b), mult(c, a))),
% 4.67/4.86 inference(unit_resolution,[status(thm)],[185, 5271])).
% 4.67/4.86 tff(5273,plain,
% 4.67/4.86 (mult(mult(mult(a, b), a), c) = mult(mult(a, b), mult(a, c))),
% 4.67/4.86 inference(unit_resolution,[status(thm)],[211, 5271])).
% 4.67/4.86 tff(5274,plain,
% 4.67/4.86 (mult(mult(a, mult(c, b)), a) = mult(a, mult(a, mult(c, b)))),
% 4.67/4.86 inference(unit_resolution,[status(thm)],[5005, 5273, 4887, 716, 614, 4910, 421, 1790, 5269, 5272])).
% 4.67/4.86 tff(5275,plain,
% 4.67/4.86 (mult(mult(a, a), mult(c, b)) = mult(a, mult(a, mult(c, b)))),
% 4.67/4.86 inference(unit_resolution,[status(thm)],[1580, 5251])).
% 4.67/4.86 tff(5276,plain,
% 4.67/4.86 (mult(mult(a, a), mult(c, b)) = mult(a, mult(mult(c, b), a))),
% 4.67/4.86 inference(unit_resolution,[status(thm)],[5059, 5274, 5275])).
% 4.67/4.86 tff(5277,plain,
% 4.67/4.86 ($false),
% 4.67/4.86 inference(unit_resolution,[status(thm)],[5222, 5276, 5274, 1787, 614, 40])).
% 4.67/4.86 tff(5278,plain,((mult(mult(a, b), c) = mult(a, mult(c, b))) | (mult(mult(mult(a, c), b), a) = mult(mult(a, c), mult(b, a))) | (mult(mult(c, a), b) = mult(c, mult(b, a)))), inference(lemma,lemma(discharge,[]))).
% 4.67/4.86 tff(5279,plain,
% 4.67/4.86 (mult(mult(a, b), c) = mult(a, mult(c, b))),
% 4.67/4.86 inference(unit_resolution,[status(thm)],[5278, 40, 614])).
% 4.67/4.86 tff(5280,plain,
% 4.67/4.86 (~(mult(mult(mult(a, b), c), a) = mult(mult(a, b), mult(c, a)))),
% 4.67/4.86 inference(unit_resolution,[status(thm)],[1609, 5279, 614, 5251])).
% 4.67/4.86 tff(5281,plain,
% 4.67/4.86 ((~(mult(mult(mult(a, b), a), c) = mult(mult(a, b), mult(a, c)))) | (~(mult(mult(mult(a, b), c), a) = mult(mult(a, b), mult(c, a))))),
% 4.67/4.86 inference(unit_resolution,[status(thm)],[185, 5280])).
% 4.67/4.86 tff(5282,plain,
% 4.67/4.86 (~((~(mult(mult(mult(a, b), a), c) = mult(mult(a, b), mult(c, a)))) | (~(mult(mult(mult(a, b), c), a) = mult(mult(a, b), mult(a, c)))))),
% 4.67/4.86 inference(unit_resolution,[status(thm)],[183, 5281])).
% 4.67/4.86 tff(5283,plain,
% 4.67/4.86 (mult(mult(mult(a, b), a), c) = mult(mult(a, b), mult(c, a))),
% 4.67/4.86 inference(unit_resolution,[status(thm)],[1690, 5282])).
% 4.67/4.86 tff(5284,plain,
% 4.67/4.86 (~(mult(mult(b, mult(c, a)), a) = mult(b, mult(mult(c, a), a)))),
% 4.67/4.86 inference(unit_resolution,[status(thm)],[4845, 5280])).
% 4.67/4.86 tff(5285,plain,
% 4.67/4.86 ((~(mult(mult(b, a), mult(c, a)) = mult(b, mult(a, mult(c, a))))) | (~(mult(mult(b, mult(c, a)), a) = mult(b, mult(mult(c, a), a))))),
% 4.67/4.86 inference(unit_resolution,[status(thm)],[3454, 5284])).
% 4.67/4.86 tff(5286,plain,
% 4.67/4.86 (mult(mult(b, mult(c, a)), a) = mult(b, mult(a, mult(c, a)))),
% 4.67/4.86 inference(unit_resolution,[status(thm)],[3488, 5285])).
% 4.67/4.86 tff(5287,plain,
% 4.67/4.86 ($false),
% 4.67/4.86 inference(unit_resolution,[status(thm)],[5268, 5286, 5283, 1568, 5258, 40])).
% 4.67/4.86 tff(5288,plain,((mult(mult(c, a), b) = mult(c, mult(b, a))) | (mult(mult(mult(a, c), b), a) = mult(mult(a, c), mult(b, a)))), inference(lemma,lemma(discharge,[]))).
% 4.67/4.86 tff(5289,plain,
% 4.67/4.86 (mult(mult(c, a), b) = mult(c, mult(b, a))),
% 4.67/4.86 inference(unit_resolution,[status(thm)],[5288, 614])).
% 4.67/4.86 tff(5290,plain,
% 4.67/4.86 (mult(mult(c, b), a) = mult(c, mult(a, b))),
% 4.67/4.86 inference(unit_resolution,[status(thm)],[2109, 5289])).
% 4.67/4.86 tff(5291,plain,
% 4.67/4.86 (mult(c, mult(a, b)) = mult(mult(c, b), a)),
% 4.67/4.86 inference(symmetry,[status(thm)],[5290])).
% 4.67/4.86 tff(5292,plain,
% 4.67/4.86 (mult(a, mult(c, mult(a, b))) = mult(a, mult(mult(c, b), a))),
% 4.67/4.86 inference(monotonicity,[status(thm)],[5291])).
% 4.67/4.86 tff(5293,plain,
% 4.67/4.86 (mult(a, mult(c, mult(a, b))) = mult(mult(a, mult(c, b)), a)),
% 4.67/4.86 inference(transitivity,[status(thm)],[5292, 4822])).
% 4.67/4.86 tff(5294,plain,
% 4.67/4.86 ((~![B: $i, A: $i] : (rd(mult(A, B), B) = A)) | (rd(mult(mult(b, a), mult(mult(a, mult(c, b)), a)), mult(mult(a, mult(c, b)), a)) = mult(b, a))),
% 4.67/4.86 inference(quant_inst,[status(thm)],[])).
% 4.67/4.86 tff(5295,plain,
% 4.67/4.86 (rd(mult(mult(b, a), mult(mult(a, mult(c, b)), a)), mult(mult(a, mult(c, b)), a)) = mult(b, a)),
% 4.67/4.86 inference(unit_resolution,[status(thm)],[5294, 72])).
% 4.67/4.86 tff(5296,plain,
% 4.67/4.86 (mult(a, mult(c, mult(a, b))) = mult(mult(mult(a, b), c), a)),
% 4.67/4.86 inference(transitivity,[status(thm)],[5292, 4822, 609])).
% 4.67/4.86 tff(5297,plain,
% 4.67/4.86 (mult(mult(a, mult(c, mult(a, b))), b) = mult(mult(mult(mult(a, b), c), a), b)),
% 4.67/4.86 inference(monotonicity,[status(thm)],[5296])).
% 4.67/4.86 tff(5298,plain,
% 4.67/4.86 (mult(mult(mult(mult(a, b), c), a), b) = mult(mult(a, mult(c, mult(a, b))), b)),
% 4.67/4.86 inference(symmetry,[status(thm)],[5297])).
% 4.67/4.86 tff(5299,plain,
% 4.67/4.86 (mult(mult(mult(a, mult(c, b)), a), b) = mult(mult(mult(mult(a, b), c), a), b)),
% 4.67/4.86 inference(monotonicity,[status(thm)],[609])).
% 4.67/4.86 tff(5300,plain,
% 4.67/4.86 (mult(mult(mult(a, mult(c, b)), a), b) = mult(mult(a, mult(c, mult(a, b))), b)),
% 4.67/4.86 inference(transitivity,[status(thm)],[5299, 5298])).
% 4.67/4.86 tff(5301,plain,
% 4.67/4.86 (mult(a, mult(mult(mult(a, mult(c, b)), a), b)) = mult(a, mult(mult(a, mult(c, mult(a, b))), b))),
% 4.67/4.86 inference(monotonicity,[status(thm)],[5300])).
% 4.67/4.86 tff(5302,plain,
% 4.67/4.86 (mult(a, mult(mult(a, mult(c, mult(a, b))), b)) = mult(a, mult(mult(mult(a, mult(c, b)), a), b))),
% 4.67/4.86 inference(symmetry,[status(thm)],[5301])).
% 4.67/4.86 tff(5303,plain,
% 4.67/4.86 ((~(mult(mult(c, a), b) = mult(c, mult(b, a)))) | (~(mult(mult(mult(a, c), a), b) = mult(mult(a, c), mult(b, a)))) | (~(mult(mult(b, mult(c, a)), a) = mult(b, mult(a, mult(c, a))))) | (~(mult(mult(a, b), a) = mult(a, mult(b, a)))) | (mult(mult(mult(a, b), c), a) = mult(mult(a, b), mult(a, c)))),
% 4.67/4.86 inference(unit_resolution,[status(thm)],[4943, 3427])).
% 4.67/4.86 tff(5304,plain,
% 4.67/4.86 ((~(mult(mult(c, a), b) = mult(c, mult(b, a)))) | (~(mult(mult(mult(a, c), a), b) = mult(mult(a, c), mult(b, a)))) | (~(mult(mult(a, b), a) = mult(a, mult(b, a)))) | (mult(mult(mult(a, b), c), a) = mult(mult(a, b), mult(a, c)))),
% 4.67/4.86 inference(unit_resolution,[status(thm)],[5303, 4679])).
% 4.67/4.86 tff(5305,plain,
% 4.67/4.86 (mult(mult(mult(a, b), c), a) = mult(mult(a, b), mult(a, c))),
% 4.67/4.86 inference(unit_resolution,[status(thm)],[5304, 1526, 5289, 4193])).
% 4.67/4.86 tff(5306,plain,
% 4.67/4.86 (~(mult(mult(a, mult(b, c)), a) = mult(a, mult(a, mult(b, c))))),
% 4.67/4.86 inference(unit_resolution,[status(thm)],[1129, 5305, 91, 4821, 5290, 97, 971, 65])).
% 4.67/4.86 tff(5307,plain,
% 4.67/4.86 ((~(mult(mult(a, a), mult(b, c)) = mult(a, mult(mult(b, c), a)))) | (~(mult(mult(a, mult(b, c)), a) = mult(a, mult(a, mult(b, c)))))),
% 4.67/4.86 inference(unit_resolution,[status(thm)],[95, 5306])).
% 4.67/4.86 tff(5308,plain,
% 4.67/4.86 (~((~(mult(mult(a, a), mult(b, c)) = mult(a, mult(a, mult(b, c))))) | (~(mult(mult(a, mult(b, c)), a) = mult(a, mult(mult(b, c), a)))))),
% 4.67/4.86 inference(unit_resolution,[status(thm)],[503, 30, 5307])).
% 4.67/4.86 tff(5309,plain,
% 4.67/4.86 (mult(mult(a, mult(b, c)), a) = mult(a, mult(mult(b, c), a))),
% 4.67/4.86 inference(unit_resolution,[status(thm)],[506, 5308])).
% 4.67/4.86 tff(5310,plain,
% 4.67/4.86 (mult(a, mult(mult(a, b), c)) = mult(mult(a, c), mult(a, b))),
% 4.67/4.86 inference(symmetry,[status(thm)],[4654])).
% 4.67/4.86 tff(5311,plain,
% 4.67/4.86 (mult(a, mult(a, mult(c, b))) = mult(a, mult(mult(b, c), a))),
% 4.67/4.86 inference(transitivity,[status(thm)],[611, 5310, 2160, 2720, 5309])).
% 4.67/4.86 tff(5312,plain,
% 4.67/4.86 (ld(a, mult(a, mult(a, mult(c, b)))) = ld(a, mult(a, mult(mult(b, c), a)))),
% 4.67/4.86 inference(monotonicity,[status(thm)],[5311])).
% 4.67/4.86 tff(5313,plain,
% 4.67/4.86 (ld(a, mult(a, mult(mult(b, c), a))) = ld(a, mult(a, mult(a, mult(c, b))))),
% 4.67/4.86 inference(symmetry,[status(thm)],[5312])).
% 4.67/4.86 tff(5314,plain,
% 4.67/4.86 (mult(mult(b, c), a) = ld(a, mult(a, mult(mult(b, c), a)))),
% 4.67/4.86 inference(symmetry,[status(thm)],[4716])).
% 4.67/4.86 tff(5315,plain,
% 4.67/4.86 (mult(mult(b, c), a) = mult(a, mult(c, b))),
% 4.67/4.86 inference(transitivity,[status(thm)],[5314, 5313, 802])).
% 4.67/4.86 tff(5316,plain,
% 4.67/4.86 (mult(mult(mult(b, c), a), a) = mult(mult(a, mult(c, b)), a)),
% 4.67/4.86 inference(monotonicity,[status(thm)],[5315])).
% 4.67/4.86 tff(5317,plain,
% 4.67/4.86 (mult(b, mult(a, c)) = mult(mult(b, c), a)),
% 4.67/4.86 inference(symmetry,[status(thm)],[3433])).
% 4.67/4.86 tff(5318,plain,
% 4.67/4.86 (mult(mult(b, mult(a, c)), a) = mult(mult(mult(b, c), a), a)),
% 4.67/4.86 inference(monotonicity,[status(thm)],[5317])).
% 4.67/4.86 tff(5319,assumption,(~(mult(mult(b, mult(a, c)), a) = mult(b, mult(a, mult(a, c))))), introduced(assumption)).
% 4.67/4.86 tff(5320,plain,
% 4.67/4.86 (((~(mult(mult(b, a), mult(a, c)) = mult(b, mult(mult(a, c), a)))) | (~(mult(mult(b, mult(a, c)), a) = mult(b, mult(a, mult(a, c)))))) | (mult(mult(b, mult(a, c)), a) = mult(b, mult(a, mult(a, c))))),
% 4.67/4.86 inference(tautology,[status(thm)],[])).
% 4.67/4.86 tff(5321,plain,
% 4.67/4.86 ((~(mult(mult(b, a), mult(a, c)) = mult(b, mult(mult(a, c), a)))) | (~(mult(mult(b, mult(a, c)), a) = mult(b, mult(a, mult(a, c)))))),
% 4.67/4.86 inference(unit_resolution,[status(thm)],[5320, 5319])).
% 4.67/4.86 tff(5322,plain,
% 4.67/4.86 (~((~(mult(mult(b, a), mult(a, c)) = mult(b, mult(a, mult(a, c))))) | (~(mult(mult(b, mult(a, c)), a) = mult(b, mult(mult(a, c), a)))))),
% 4.67/4.86 inference(unit_resolution,[status(thm)],[5201, 5321])).
% 4.67/4.86 tff(5323,plain,
% 4.67/4.86 (((~(mult(mult(b, a), mult(a, c)) = mult(b, mult(a, mult(a, c))))) | (~(mult(mult(b, mult(a, c)), a) = mult(b, mult(mult(a, c), a))))) | (mult(mult(b, a), mult(a, c)) = mult(b, mult(a, mult(a, c))))),
% 4.67/4.86 inference(tautology,[status(thm)],[])).
% 4.67/4.86 tff(5324,plain,
% 4.67/4.86 (mult(mult(b, a), mult(a, c)) = mult(b, mult(a, mult(a, c)))),
% 4.67/4.86 inference(unit_resolution,[status(thm)],[5323, 5322])).
% 4.67/4.86 tff(5325,plain,
% 4.67/4.86 (mult(mult(b, mult(a, c)), a) = mult(b, mult(mult(a, c), a))),
% 4.67/4.86 inference(unit_resolution,[status(thm)],[5189, 5322])).
% 4.67/4.86 tff(5326,plain,
% 4.67/4.86 (mult(mult(b, mult(a, c)), a) = mult(b, mult(a, mult(a, c)))),
% 4.67/4.86 inference(transitivity,[status(thm)],[5325, 863, 3530, 5324])).
% 4.67/4.86 tff(5327,plain,
% 4.67/4.86 ($false),
% 4.67/4.86 inference(unit_resolution,[status(thm)],[5319, 5326])).
% 4.67/4.86 tff(5328,plain,(mult(mult(b, mult(a, c)), a) = mult(b, mult(a, mult(a, c)))), inference(lemma,lemma(discharge,[]))).
% 4.67/4.86 tff(5329,plain,
% 4.67/4.86 (mult(b, mult(a, mult(a, c))) = mult(mult(b, mult(a, c)), a)),
% 4.67/4.86 inference(symmetry,[status(thm)],[5328])).
% 4.67/4.86 tff(5330,plain,
% 4.67/4.86 (mult(b, mult(a, mult(a, c))) = mult(mult(mult(a, b), c), a)),
% 4.67/4.86 inference(transitivity,[status(thm)],[5329, 5318, 5316, 609])).
% 4.67/4.86 tff(5331,plain,
% 4.67/4.86 (mult(mult(b, mult(a, mult(a, c))), b) = mult(mult(mult(mult(a, b), c), a), b)),
% 4.67/4.86 inference(monotonicity,[status(thm)],[5330])).
% 4.67/4.86 tff(5332,plain,
% 4.67/4.86 (mult(mult(b, mult(a, mult(a, c))), b) = mult(mult(a, mult(c, mult(a, b))), b)),
% 4.67/4.86 inference(transitivity,[status(thm)],[5331, 5298])).
% 4.67/4.86 tff(5333,plain,
% 4.67/4.86 (mult(a, mult(mult(b, mult(a, mult(a, c))), b)) = mult(a, mult(mult(a, mult(c, mult(a, b))), b))),
% 4.67/4.86 inference(monotonicity,[status(thm)],[5332])).
% 4.67/4.86 tff(5334,plain,
% 4.67/4.86 ((~![C: $i, B: $i, A: $i] : (mult(mult(mult(A, B), C), B) = mult(A, mult(mult(B, C), B)))) | (mult(mult(mult(a, b), mult(a, mult(a, c))), b) = mult(a, mult(mult(b, mult(a, mult(a, c))), b)))),
% 4.67/4.86 inference(quant_inst,[status(thm)],[])).
% 4.67/4.86 tff(5335,plain,
% 4.67/4.86 (mult(mult(mult(a, b), mult(a, mult(a, c))), b) = mult(a, mult(mult(b, mult(a, mult(a, c))), b))),
% 4.67/4.86 inference(unit_resolution,[status(thm)],[5334, 860])).
% 4.67/4.86 tff(5336,plain,
% 4.67/4.86 (~(mult(mult(mult(a, b), c), a) = mult(mult(a, b), mult(c, a)))),
% 4.67/4.86 inference(unit_resolution,[status(thm)],[1609, 4821, 91, 614])).
% 4.67/4.86 tff(5337,plain,
% 4.67/4.86 ((~(mult(mult(mult(a, b), a), c) = mult(mult(a, b), mult(a, c)))) | (~(mult(mult(mult(a, b), c), a) = mult(mult(a, b), mult(c, a))))),
% 4.67/4.86 inference(unit_resolution,[status(thm)],[185, 5336])).
% 4.67/4.86 tff(5338,plain,
% 4.67/4.86 (~((~(mult(mult(mult(a, b), a), c) = mult(mult(a, b), mult(c, a)))) | (~(mult(mult(mult(a, b), c), a) = mult(mult(a, b), mult(a, c)))))),
% 4.67/4.86 inference(unit_resolution,[status(thm)],[183, 5337])).
% 4.67/4.86 tff(5339,plain,
% 4.67/4.86 (mult(mult(mult(a, b), a), c) = mult(mult(a, b), mult(c, a))),
% 4.67/4.86 inference(unit_resolution,[status(thm)],[1690, 5338])).
% 4.67/4.86 tff(5340,plain,
% 4.67/4.86 (mult(mult(a, b), mult(c, a)) = mult(mult(mult(a, b), a), c)),
% 4.67/4.86 inference(symmetry,[status(thm)],[5339])).
% 4.67/4.86 tff(5341,plain,
% 4.67/4.86 ((mult(mult(mult(a, b), c), a) = mult(mult(a, b), mult(c, a))) <=> (mult(mult(a, b), mult(a, c)) = mult(mult(mult(a, b), a), c))),
% 4.67/4.86 inference(monotonicity,[status(thm)],[5305, 5340])).
% 4.67/4.86 tff(5342,plain,
% 4.67/4.86 ((mult(mult(mult(a, b), c), a) = mult(mult(a, b), mult(c, a))) <=> (mult(mult(mult(a, b), a), c) = mult(mult(a, b), mult(a, c)))),
% 4.67/4.86 inference(transitivity,[status(thm)],[5341, 3592])).
% 4.67/4.86 tff(5343,plain,
% 4.67/4.86 ((~(mult(mult(mult(a, b), c), a) = mult(mult(a, b), mult(c, a)))) <=> (~(mult(mult(mult(a, b), a), c) = mult(mult(a, b), mult(a, c))))),
% 4.67/4.86 inference(monotonicity,[status(thm)],[5342])).
% 4.67/4.86 tff(5344,plain,
% 4.67/4.86 (~(mult(mult(mult(a, b), a), c) = mult(mult(a, b), mult(a, c)))),
% 4.67/4.86 inference(modus_ponens,[status(thm)],[5336, 5343])).
% 4.67/4.86 tff(5345,plain,
% 4.67/4.86 (mult(mult(a, a), mult(c, b)) = mult(a, mult(a, mult(c, b)))),
% 4.67/4.86 inference(unit_resolution,[status(thm)],[1580, 4821])).
% 4.67/4.86 tff(5346,plain,
% 4.67/4.86 (mult(mult(a, a), mult(c, b)) = mult(a, mult(mult(a, b), c))),
% 4.67/4.86 inference(transitivity,[status(thm)],[911, 111])).
% 4.67/4.86 tff(5347,plain,
% 4.67/4.86 (mult(mult(mult(a, a), b), c) = mult(mult(a, mult(a, b)), c)),
% 4.67/4.86 inference(monotonicity,[status(thm)],[4190])).
% 4.67/4.86 tff(5348,plain,
% 4.67/4.86 ((mult(mult(mult(a, a), b), c) = mult(mult(a, a), mult(c, b))) <=> (mult(mult(a, mult(a, b)), c) = mult(a, mult(mult(a, b), c)))),
% 4.67/4.86 inference(monotonicity,[status(thm)],[5347, 5346])).
% 4.67/4.86 tff(5349,plain,
% 4.67/4.86 (mult(mult(a, mult(a, b)), c) = mult(a, mult(mult(a, b), c))),
% 4.67/4.86 inference(modus_ponens,[status(thm)],[447, 5348])).
% 4.67/4.86 tff(5350,plain,
% 4.67/4.86 ($false),
% 4.67/4.86 inference(unit_resolution,[status(thm)],[1994, 5349])).
% 4.67/4.86 tff(5351,plain,((~(mult(mult(mult(a, a), b), c) = mult(mult(a, a), mult(c, b)))) | (mult(mult(a, mult(a, b)), c) = mult(a, mult(mult(a, b), c))) | (~(mult(mult(a, a), mult(c, b)) = mult(a, mult(a, mult(c, b))))) | (~(mult(mult(a, b), c) = mult(a, mult(c, b))))), inference(lemma,lemma(discharge,[]))).
% 4.67/4.86 tff(5352,plain,
% 4.70/4.86 (~(mult(mult(mult(a, a), b), c) = mult(mult(a, a), mult(c, b)))),
% 4.70/4.86 inference(unit_resolution,[status(thm)],[5351, 1994, 5345, 91])).
% 4.70/4.86 tff(5353,plain,
% 4.70/4.86 ((~(mult(mult(mult(a, a), b), c) = mult(mult(a, a), mult(c, b)))) | (~(mult(mult(mult(a, a), c), b) = mult(mult(a, a), mult(b, c))))),
% 4.70/4.86 inference(unit_resolution,[status(thm)],[326, 5352])).
% 4.70/4.86 tff(5354,plain,
% 4.70/4.86 (~((~(mult(mult(mult(a, a), b), c) = mult(mult(a, a), mult(b, c)))) | (~(mult(mult(mult(a, a), c), b) = mult(mult(a, a), mult(c, b)))))),
% 4.70/4.86 inference(unit_resolution,[status(thm)],[338, 5353])).
% 4.70/4.86 tff(5355,plain,
% 4.70/4.86 (mult(mult(mult(a, a), c), b) = mult(mult(a, a), mult(c, b))),
% 4.70/4.86 inference(unit_resolution,[status(thm)],[1006, 5354])).
% 4.70/4.86 tff(5356,plain,
% 4.70/4.86 (mult(a, mult(mult(b, c), a)) = mult(mult(a, mult(b, c)), a)),
% 4.70/4.86 inference(symmetry,[status(thm)],[5309])).
% 4.70/4.86 tff(5357,plain,
% 4.70/4.86 (mult(a, mult(b, mult(a, c))) = mult(a, mult(mult(b, c), a))),
% 4.70/4.86 inference(monotonicity,[status(thm)],[5317])).
% 4.70/4.86 tff(5358,plain,
% 4.70/4.86 (mult(a, mult(b, mult(a, c))) = mult(mult(a, c), mult(a, b))),
% 4.70/4.86 inference(transitivity,[status(thm)],[5357, 5356, 607, 971])).
% 4.70/4.86 tff(5359,plain,
% 4.70/4.86 (mult(a, mult(mult(c, b), a)) = mult(a, mult(c, mult(a, b)))),
% 4.70/4.86 inference(symmetry,[status(thm)],[5292])).
% 4.70/4.86 tff(5360,plain,
% 4.70/4.86 (mult(mult(a, b), mult(a, c)) = mult(mult(mult(a, b), c), a)),
% 4.70/4.86 inference(symmetry,[status(thm)],[5305])).
% 4.70/4.86 tff(5361,plain,
% 4.70/4.86 (mult(mult(a, b), mult(a, c)) = mult(a, mult(c, mult(a, b)))),
% 4.70/4.86 inference(transitivity,[status(thm)],[5360, 608, 4821, 5359])).
% 4.70/4.86 tff(5362,plain,
% 4.70/4.86 ((mult(mult(a, b), mult(a, c)) = mult(a, mult(b, mult(a, c)))) <=> (mult(a, mult(c, mult(a, b))) = mult(mult(a, c), mult(a, b)))),
% 4.70/4.86 inference(monotonicity,[status(thm)],[5361, 5358])).
% 4.70/4.86 tff(5363,plain,
% 4.70/4.86 ((mult(mult(a, b), mult(a, c)) = mult(a, mult(b, mult(a, c)))) <=> (mult(mult(a, c), mult(a, b)) = mult(a, mult(c, mult(a, b))))),
% 4.70/4.86 inference(transitivity,[status(thm)],[5362, 2605])).
% 4.70/4.86 tff(5364,plain,
% 4.70/4.86 ((mult(mult(a, c), mult(a, b)) = mult(a, mult(c, mult(a, b)))) <=> (mult(mult(a, b), mult(a, c)) = mult(a, mult(b, mult(a, c))))),
% 4.70/4.86 inference(symmetry,[status(thm)],[5363])).
% 4.70/4.86 tff(5365,plain,
% 4.70/4.86 (mult(a, mult(a, mult(c, b))) = mult(mult(a, c), mult(a, b))),
% 4.70/4.86 inference(transitivity,[status(thm)],[611, 5310])).
% 4.70/4.86 tff(5366,plain,
% 4.70/4.86 (mult(mult(a, mult(c, b)), a) = mult(a, mult(c, mult(a, b)))),
% 4.70/4.86 inference(transitivity,[status(thm)],[4821, 5359])).
% 4.70/4.86 tff(5367,plain,
% 4.70/4.86 ((mult(mult(a, mult(c, b)), a) = mult(a, mult(a, mult(c, b)))) <=> (mult(a, mult(c, mult(a, b))) = mult(mult(a, c), mult(a, b)))),
% 4.70/4.86 inference(monotonicity,[status(thm)],[5366, 5365])).
% 4.70/4.86 tff(5368,plain,
% 4.70/4.86 ((mult(mult(a, mult(c, b)), a) = mult(a, mult(a, mult(c, b)))) <=> (mult(mult(a, c), mult(a, b)) = mult(a, mult(c, mult(a, b))))),
% 4.70/4.86 inference(transitivity,[status(thm)],[5367, 2605])).
% 4.70/4.86 tff(5369,plain,
% 4.70/4.86 ((mult(mult(a, mult(c, b)), a) = mult(a, mult(a, mult(c, b)))) <=> (mult(mult(a, b), mult(a, c)) = mult(a, mult(b, mult(a, c))))),
% 4.70/4.86 inference(transitivity,[status(thm)],[5368, 5364])).
% 4.70/4.86 tff(5370,plain,
% 4.70/4.86 ((~(mult(mult(a, mult(c, b)), a) = mult(a, mult(a, mult(c, b))))) <=> (~(mult(mult(a, b), mult(a, c)) = mult(a, mult(b, mult(a, c)))))),
% 4.70/4.86 inference(monotonicity,[status(thm)],[5369])).
% 4.70/4.86 tff(5371,plain,
% 4.70/4.86 (~(mult(mult(a, mult(c, b)), a) = mult(a, mult(a, mult(c, b))))),
% 4.70/4.86 inference(unit_resolution,[status(thm)],[599, 4654, 41, 91, 971])).
% 4.70/4.86 tff(5372,plain,
% 4.70/4.86 (~(mult(mult(a, b), mult(a, c)) = mult(a, mult(b, mult(a, c))))),
% 4.70/4.86 inference(modus_ponens,[status(thm)],[5371, 5370])).
% 4.70/4.86 tff(5373,plain,
% 4.70/4.86 ((~(mult(mult(a, mult(a, c)), b) = mult(a, mult(mult(a, c), b)))) | (~(mult(mult(a, b), mult(a, c)) = mult(a, mult(b, mult(a, c)))))),
% 4.70/4.86 inference(unit_resolution,[status(thm)],[145, 5372])).
% 4.70/4.86 tff(5374,plain,
% 4.70/4.86 (~((~(mult(mult(a, mult(a, c)), b) = mult(a, mult(b, mult(a, c))))) | (~(mult(mult(a, b), mult(a, c)) = mult(a, mult(mult(a, c), b)))))),
% 4.70/4.86 inference(unit_resolution,[status(thm)],[143, 5373])).
% 4.70/4.86 tff(5375,plain,
% 4.70/4.86 (mult(mult(a, mult(a, c)), b) = mult(a, mult(b, mult(a, c)))),
% 4.70/4.86 inference(unit_resolution,[status(thm)],[836, 5374])).
% 4.70/4.87 tff(5376,plain,
% 4.70/4.87 ((mult(mult(a, a), mult(a, c)) = mult(mult(mult(a, a), c), a)) <=> (mult(mult(mult(a, a), c), a) = mult(mult(a, a), mult(a, c)))),
% 4.70/4.87 inference(commutativity,[status(thm)],[])).
% 4.70/4.87 tff(5377,plain,
% 4.70/4.87 (mult(a, mult(mult(b, c), a)) = mult(a, mult(b, mult(a, c)))),
% 4.70/4.87 inference(symmetry,[status(thm)],[5357])).
% 4.70/4.87 tff(5378,plain,
% 4.70/4.87 (mult(mult(mult(a, a), c), b) = mult(mult(a, mult(a, c)), b)),
% 4.70/4.87 inference(transitivity,[status(thm)],[789, 911, 111, 948, 1106, 511, 510, 5377, 1631])).
% 4.70/4.87 tff(5379,plain,
% 4.70/4.87 (rd(mult(mult(mult(a, a), c), b), b) = rd(mult(mult(a, mult(a, c)), b), b)),
% 4.70/4.87 inference(monotonicity,[status(thm)],[5378])).
% 4.70/4.87 tff(5380,plain,
% 4.70/4.87 (mult(mult(a, a), c) = rd(mult(mult(mult(a, a), c), b), b)),
% 4.70/4.87 inference(symmetry,[status(thm)],[2650])).
% 4.70/4.87 tff(5381,plain,
% 4.70/4.87 (mult(mult(a, a), c) = mult(a, mult(a, c))),
% 4.70/4.87 inference(transitivity,[status(thm)],[5380, 5379, 908])).
% 4.70/4.87 tff(5382,plain,
% 4.70/4.87 (mult(mult(mult(a, a), c), a) = mult(mult(a, mult(a, c)), a)),
% 4.70/4.87 inference(monotonicity,[status(thm)],[5381])).
% 4.70/4.87 tff(5383,plain,
% 4.70/4.87 (mult(mult(a, mult(a, c)), a) = mult(mult(mult(a, a), c), a)),
% 4.70/4.87 inference(symmetry,[status(thm)],[5382])).
% 4.70/4.87 tff(5384,assumption,(~(mult(mult(a, a), mult(a, c)) = mult(a, mult(a, mult(a, c))))), introduced(assumption)).
% 4.70/4.87 tff(5385,plain,
% 4.70/4.87 (((~(mult(mult(a, a), mult(a, c)) = mult(a, mult(a, mult(a, c))))) | (~(mult(mult(a, mult(a, c)), a) = mult(a, mult(mult(a, c), a))))) | (mult(mult(a, a), mult(a, c)) = mult(a, mult(a, mult(a, c))))),
% 4.70/4.87 inference(tautology,[status(thm)],[])).
% 4.70/4.87 tff(5386,plain,
% 4.70/4.87 ((~(mult(mult(a, a), mult(a, c)) = mult(a, mult(a, mult(a, c))))) | (~(mult(mult(a, mult(a, c)), a) = mult(a, mult(mult(a, c), a))))),
% 4.70/4.87 inference(unit_resolution,[status(thm)],[5385, 5384])).
% 4.70/4.87 tff(5387,plain,
% 4.70/4.87 (~((~(mult(mult(a, a), mult(a, c)) = mult(a, mult(mult(a, c), a)))) | (~(mult(mult(a, mult(a, c)), a) = mult(a, mult(a, mult(a, c))))))),
% 4.70/4.87 inference(unit_resolution,[status(thm)],[1649, 5386])).
% 4.70/4.87 tff(5388,plain,
% 4.70/4.87 (mult(mult(a, mult(a, c)), a) = mult(a, mult(a, mult(a, c)))),
% 4.70/4.87 inference(unit_resolution,[status(thm)],[1651, 5387])).
% 4.70/4.87 tff(5389,plain,
% 4.70/4.87 (mult(a, mult(a, mult(a, c))) = mult(mult(a, mult(a, c)), a)),
% 4.70/4.87 inference(symmetry,[status(thm)],[5388])).
% 4.70/4.87 tff(5390,plain,
% 4.70/4.87 (mult(a, mult(a, mult(a, c))) = mult(mult(mult(a, a), c), a)),
% 4.70/4.87 inference(transitivity,[status(thm)],[5389, 5383])).
% 4.70/4.87 tff(5391,plain,
% 4.70/4.87 ((mult(mult(a, a), mult(a, c)) = mult(a, mult(a, mult(a, c)))) <=> (mult(mult(a, a), mult(a, c)) = mult(mult(mult(a, a), c), a))),
% 4.70/4.87 inference(monotonicity,[status(thm)],[5390])).
% 4.70/4.87 tff(5392,plain,
% 4.70/4.87 ((mult(mult(a, a), mult(a, c)) = mult(a, mult(a, mult(a, c)))) <=> (mult(mult(mult(a, a), c), a) = mult(mult(a, a), mult(a, c)))),
% 4.70/4.87 inference(transitivity,[status(thm)],[5391, 5376])).
% 4.70/4.87 tff(5393,plain,
% 4.70/4.87 ((mult(mult(mult(a, a), c), a) = mult(mult(a, a), mult(a, c))) <=> (mult(mult(a, a), mult(a, c)) = mult(a, mult(a, mult(a, c))))),
% 4.70/4.87 inference(symmetry,[status(thm)],[5392])).
% 4.70/4.87 tff(5394,plain,
% 4.70/4.87 (mult(a, mult(mult(a, c), a)) = mult(mult(mult(a, a), c), a)),
% 4.70/4.87 inference(symmetry,[status(thm)],[1658])).
% 4.70/4.87 tff(5395,plain,
% 4.70/4.87 ((mult(mult(a, a), mult(a, c)) = mult(a, mult(mult(a, c), a))) <=> (mult(mult(a, a), mult(a, c)) = mult(mult(mult(a, a), c), a))),
% 4.70/4.87 inference(monotonicity,[status(thm)],[5394])).
% 4.70/4.87 tff(5396,plain,
% 4.70/4.87 ((mult(mult(a, a), mult(a, c)) = mult(a, mult(mult(a, c), a))) <=> (mult(mult(mult(a, a), c), a) = mult(mult(a, a), mult(a, c)))),
% 4.70/4.87 inference(transitivity,[status(thm)],[5395, 5376])).
% 4.70/4.87 tff(5397,plain,
% 4.70/4.87 (((~(mult(mult(a, a), mult(a, c)) = mult(a, mult(mult(a, c), a)))) | (~(mult(mult(a, mult(a, c)), a) = mult(a, mult(a, mult(a, c)))))) | (mult(mult(a, a), mult(a, c)) = mult(a, mult(mult(a, c), a)))),
% 4.70/4.87 inference(tautology,[status(thm)],[])).
% 4.70/4.87 tff(5398,plain,
% 4.70/4.87 (mult(mult(a, a), mult(a, c)) = mult(a, mult(mult(a, c), a))),
% 4.70/4.87 inference(unit_resolution,[status(thm)],[5397, 5387])).
% 4.70/4.87 tff(5399,plain,
% 4.70/4.87 (mult(mult(mult(a, a), c), a) = mult(mult(a, a), mult(a, c))),
% 4.70/4.87 inference(modus_ponens,[status(thm)],[5398, 5396])).
% 4.70/4.87 tff(5400,plain,
% 4.70/4.87 (mult(mult(a, a), mult(a, c)) = mult(a, mult(a, mult(a, c)))),
% 4.70/4.87 inference(modus_ponens,[status(thm)],[5399, 5393])).
% 4.70/4.87 tff(5401,plain,
% 4.70/4.87 ($false),
% 4.70/4.87 inference(unit_resolution,[status(thm)],[5384, 5400])).
% 4.70/4.87 tff(5402,plain,((mult(mult(a, a), mult(a, c)) = mult(a, mult(a, mult(a, c)))) | (~(mult(mult(a, mult(a, c)), b) = mult(a, mult(b, mult(a, c))))) | (~(mult(mult(a, mult(b, c)), a) = mult(a, mult(mult(b, c), a)))) | (~(mult(mult(mult(a, a), c), b) = mult(mult(a, a), mult(c, b)))) | (~(mult(mult(a, a), mult(c, b)) = mult(a, mult(a, mult(c, b))))) | (~(mult(mult(a, c), mult(a, b)) = mult(a, mult(mult(a, b), c)))) | (~(mult(mult(mult(a, c), b), a) = mult(mult(a, c), mult(a, b)))) | (~(mult(mult(a, b), c) = mult(a, mult(c, b)))) | (~(mult(mult(a, c), b) = mult(a, mult(b, c))))), inference(lemma,lemma(discharge,[]))).
% 4.70/4.87 tff(5403,plain,
% 4.70/4.87 (mult(mult(a, a), mult(a, c)) = mult(a, mult(a, mult(a, c)))),
% 4.70/4.87 inference(unit_resolution,[status(thm)],[5402, 5375, 5309, 5355, 5345, 4654, 971, 91, 97])).
% 4.70/4.87 tff(5404,plain,
% 4.70/4.87 ((~(mult(mult(a, mult(c, b)), a) = mult(a, mult(a, mult(c, b))))) <=> (~(mult(mult(a, c), mult(a, b)) = mult(a, mult(c, mult(a, b)))))),
% 4.70/4.87 inference(monotonicity,[status(thm)],[5368])).
% 4.70/4.87 tff(5405,plain,
% 4.70/4.87 (~(mult(mult(a, c), mult(a, b)) = mult(a, mult(c, mult(a, b))))),
% 4.70/4.87 inference(modus_ponens,[status(thm)],[5371, 5404])).
% 4.70/4.87 tff(5406,plain,
% 4.70/4.87 ((~![B: $i, A: $i] : (ld(A, mult(A, B)) = B)) | (ld(a, mult(a, mult(mult(a, mult(c, b)), a))) = mult(mult(a, mult(c, b)), a))),
% 4.70/4.87 inference(quant_inst,[status(thm)],[])).
% 4.70/4.87 tff(5407,plain,
% 4.70/4.87 (ld(a, mult(a, mult(mult(a, mult(c, b)), a))) = mult(mult(a, mult(c, b)), a)),
% 4.70/4.87 inference(unit_resolution,[status(thm)],[5406, 9])).
% 4.70/4.87 tff(5408,plain,
% 4.70/4.87 (mult(mult(mult(a, a), mult(c, b)), a) = mult(mult(a, mult(a, mult(c, b))), a)),
% 4.70/4.87 inference(monotonicity,[status(thm)],[1581])).
% 4.70/4.87 tff(5409,plain,
% 4.70/4.87 (mult(mult(a, mult(a, mult(c, b))), a) = mult(mult(mult(a, a), mult(c, b)), a)),
% 4.70/4.87 inference(symmetry,[status(thm)],[5408])).
% 4.70/4.87 tff(5410,assumption,(mult(mult(a, mult(a, mult(c, b))), a) = mult(a, mult(a, mult(a, mult(c, b))))), introduced(assumption)).
% 4.70/4.87 tff(5411,plain,
% 4.70/4.87 (mult(a, mult(a, mult(a, mult(c, b)))) = mult(mult(a, mult(a, mult(c, b))), a)),
% 4.70/4.87 inference(symmetry,[status(thm)],[5410])).
% 4.70/4.87 tff(5412,plain,
% 4.70/4.87 (mult(a, mult(a, mult(c, b))) = mult(mult(a, c), mult(a, b))),
% 4.70/4.87 inference(transitivity,[status(thm)],[111, 5111])).
% 4.70/4.87 tff(5413,plain,
% 4.70/4.87 (mult(a, mult(a, mult(a, mult(c, b)))) = mult(a, mult(mult(a, c), mult(a, b)))),
% 4.70/4.87 inference(monotonicity,[status(thm)],[5412])).
% 4.70/4.87 tff(5414,plain,
% 4.70/4.87 (mult(a, mult(mult(a, c), mult(a, b))) = mult(a, mult(a, mult(a, mult(c, b))))),
% 4.70/4.87 inference(symmetry,[status(thm)],[5413])).
% 4.70/4.87 tff(5415,plain,
% 4.70/4.87 (mult(a, mult(mult(a, c), mult(a, b))) = mult(a, mult(mult(a, mult(c, b)), a))),
% 4.70/4.87 inference(transitivity,[status(thm)],[5414, 5411, 5409, 4757])).
% 4.70/4.87 tff(5416,plain,
% 4.70/4.87 (ld(a, mult(a, mult(mult(a, c), mult(a, b)))) = ld(a, mult(a, mult(mult(a, mult(c, b)), a)))),
% 4.70/4.87 inference(monotonicity,[status(thm)],[5415])).
% 4.70/4.87 tff(5417,plain,
% 4.70/4.87 ((~![B: $i, A: $i] : (ld(A, mult(A, B)) = B)) | (ld(a, mult(a, mult(mult(a, c), mult(a, b)))) = mult(mult(a, c), mult(a, b)))),
% 4.70/4.87 inference(quant_inst,[status(thm)],[])).
% 4.70/4.87 tff(5418,plain,
% 4.70/4.87 (ld(a, mult(a, mult(mult(a, c), mult(a, b)))) = mult(mult(a, c), mult(a, b))),
% 4.70/4.87 inference(unit_resolution,[status(thm)],[5417, 9])).
% 4.70/4.87 tff(5419,plain,
% 4.70/4.87 (mult(mult(a, c), mult(a, b)) = ld(a, mult(a, mult(mult(a, c), mult(a, b))))),
% 4.70/4.87 inference(symmetry,[status(thm)],[5418])).
% 4.70/4.87 tff(5420,plain,
% 4.70/4.87 (mult(mult(a, c), mult(a, b)) = mult(a, mult(c, mult(a, b)))),
% 4.70/4.87 inference(transitivity,[status(thm)],[5419, 5416, 5407, 707, 2197])).
% 4.70/4.87 tff(5421,plain,
% 4.70/4.87 ($false),
% 4.70/4.87 inference(unit_resolution,[status(thm)],[5107, 5420])).
% 4.70/4.87 tff(5422,plain,((~(mult(mult(a, mult(a, mult(c, b))), a) = mult(a, mult(a, mult(a, mult(c, b)))))) | (mult(mult(a, c), mult(a, b)) = mult(a, mult(c, mult(a, b)))) | (~(mult(mult(a, mult(c, b)), a) = mult(a, mult(mult(c, b), a)))) | (~(mult(mult(c, b), a) = mult(c, mult(a, b)))) | (~(mult(mult(a, b), c) = mult(a, mult(c, b))))), inference(lemma,lemma(discharge,[]))).
% 4.70/4.87 tff(5423,plain,
% 4.70/4.87 (~(mult(mult(a, mult(a, mult(c, b))), a) = mult(a, mult(a, mult(a, mult(c, b)))))),
% 4.70/4.87 inference(unit_resolution,[status(thm)],[5422, 5405, 4821, 5290, 91])).
% 4.70/4.87 tff(5424,plain,
% 4.70/4.87 (mult(a, mult(mult(b, c), a)) = mult(mult(a, c), mult(a, b))),
% 4.70/4.87 inference(transitivity,[status(thm)],[1424, 215, 594])).
% 4.70/4.87 tff(5425,plain,
% 4.70/4.87 (mult(a, mult(a, mult(mult(b, c), a))) = mult(a, mult(mult(a, c), mult(a, b)))),
% 4.70/4.87 inference(monotonicity,[status(thm)],[5424])).
% 4.70/4.87 tff(5426,plain,
% 4.70/4.87 (mult(a, mult(mult(a, c), mult(a, b))) = mult(a, mult(a, mult(mult(b, c), a)))),
% 4.70/4.87 inference(symmetry,[status(thm)],[5425])).
% 4.70/4.87 tff(5427,plain,
% 4.70/4.87 (mult(mult(a, c), mult(a, b)) = mult(a, mult(a, mult(c, b)))),
% 4.70/4.87 inference(transitivity,[status(thm)],[593, 112])).
% 4.70/4.87 tff(5428,plain,
% 4.70/4.87 (mult(a, mult(mult(a, c), mult(a, b))) = mult(a, mult(a, mult(a, mult(c, b))))),
% 4.70/4.87 inference(monotonicity,[status(thm)],[5427])).
% 4.70/4.87 tff(5429,plain,
% 4.70/4.87 (mult(a, mult(a, mult(a, mult(c, b)))) = mult(a, mult(mult(a, c), mult(a, b)))),
% 4.70/4.87 inference(symmetry,[status(thm)],[5428])).
% 4.70/4.87 tff(5430,plain,
% 4.70/4.87 (mult(a, mult(a, mult(a, mult(c, b)))) = mult(a, mult(a, mult(mult(b, c), a)))),
% 4.70/4.87 inference(transitivity,[status(thm)],[5429, 5426])).
% 4.70/4.87 tff(5431,plain,
% 4.70/4.87 (mult(mult(a, mult(mult(b, c), a)), a) = mult(mult(mult(a, c), mult(a, b)), a)),
% 4.70/4.87 inference(monotonicity,[status(thm)],[5424])).
% 4.70/4.87 tff(5432,plain,
% 4.70/4.87 (mult(mult(mult(a, c), mult(a, b)), a) = mult(mult(a, mult(mult(b, c), a)), a)),
% 4.70/4.87 inference(symmetry,[status(thm)],[5431])).
% 4.70/4.87 tff(5433,plain,
% 4.70/4.87 (mult(mult(mult(a, c), mult(a, b)), a) = mult(mult(a, mult(a, mult(c, b))), a)),
% 4.70/4.87 inference(monotonicity,[status(thm)],[5427])).
% 4.70/4.87 tff(5434,plain,
% 4.70/4.87 (mult(mult(a, mult(a, mult(c, b))), a) = mult(mult(mult(a, c), mult(a, b)), a)),
% 4.70/4.87 inference(symmetry,[status(thm)],[5433])).
% 4.70/4.87 tff(5435,plain,
% 4.70/4.87 (mult(mult(a, mult(a, mult(c, b))), a) = mult(mult(a, mult(mult(b, c), a)), a)),
% 4.70/4.87 inference(transitivity,[status(thm)],[5434, 5432])).
% 4.70/4.87 tff(5436,plain,
% 4.70/4.87 ((mult(mult(a, mult(a, mult(c, b))), a) = mult(a, mult(a, mult(a, mult(c, b))))) <=> (mult(mult(a, mult(mult(b, c), a)), a) = mult(a, mult(a, mult(mult(b, c), a))))),
% 4.70/4.87 inference(monotonicity,[status(thm)],[5435, 5430])).
% 4.70/4.87 tff(5437,plain,
% 4.70/4.87 ((mult(mult(a, mult(mult(b, c), a)), a) = mult(a, mult(a, mult(mult(b, c), a)))) <=> (mult(mult(a, mult(a, mult(c, b))), a) = mult(a, mult(a, mult(a, mult(c, b)))))),
% 4.70/4.87 inference(symmetry,[status(thm)],[5436])).
% 4.70/4.87 tff(5438,plain,
% 4.70/4.87 ((mult(a, mult(mult(a, mult(c, b)), a)) = mult(mult(a, a), mult(a, mult(c, b)))) <=> (mult(mult(a, a), mult(a, mult(c, b))) = mult(a, mult(mult(a, mult(c, b)), a)))),
% 4.70/4.87 inference(commutativity,[status(thm)],[])).
% 4.70/4.87 tff(5439,plain,
% 4.70/4.87 (((~(mult(mult(a, a), mult(a, mult(c, b))) = mult(a, mult(a, mult(a, mult(c, b)))))) | (~(mult(mult(a, mult(a, mult(c, b))), a) = mult(a, mult(mult(a, mult(c, b)), a))))) | (mult(mult(a, a), mult(a, mult(c, b))) = mult(a, mult(a, mult(a, mult(c, b)))))),
% 4.70/4.87 inference(tautology,[status(thm)],[])).
% 4.70/4.87 tff(5440,plain,
% 4.70/4.87 (mult(mult(a, a), mult(a, mult(c, b))) = mult(a, mult(a, mult(a, mult(c, b))))),
% 4.70/4.87 inference(unit_resolution,[status(thm)],[5439, 4744])).
% 4.70/4.87 tff(5441,plain,
% 4.70/4.87 (mult(a, mult(a, mult(a, mult(c, b)))) = mult(mult(a, a), mult(a, mult(c, b)))),
% 4.70/4.87 inference(symmetry,[status(thm)],[5440])).
% 4.70/4.87 tff(5442,plain,
% 4.70/4.87 (mult(a, mult(a, mult(mult(b, c), a))) = mult(mult(a, a), mult(a, mult(c, b)))),
% 4.70/4.87 inference(transitivity,[status(thm)],[5425, 5428, 5441])).
% 4.70/4.87 tff(5443,plain,
% 4.70/4.87 (mult(mult(a, mult(a, mult(c, b))), a) = mult(mult(mult(a, a), mult(c, b)), a)),
% 4.70/4.87 inference(monotonicity,[status(thm)],[912])).
% 4.70/4.87 tff(5444,plain,
% 4.70/4.87 (mult(mult(a, mult(mult(b, c), a)), a) = mult(a, mult(mult(a, mult(c, b)), a))),
% 4.70/4.87 inference(transitivity,[status(thm)],[5431, 5433, 5443, 4757])).
% 4.70/4.87 tff(5445,plain,
% 4.70/4.87 ((mult(mult(a, mult(mult(b, c), a)), a) = mult(a, mult(a, mult(mult(b, c), a)))) <=> (mult(a, mult(mult(a, mult(c, b)), a)) = mult(mult(a, a), mult(a, mult(c, b))))),
% 4.70/4.87 inference(monotonicity,[status(thm)],[5444, 5442])).
% 4.70/4.87 tff(5446,plain,
% 4.70/4.87 ((mult(mult(a, mult(mult(b, c), a)), a) = mult(a, mult(a, mult(mult(b, c), a)))) <=> (mult(mult(a, a), mult(a, mult(c, b))) = mult(a, mult(mult(a, mult(c, b)), a)))),
% 4.70/4.87 inference(transitivity,[status(thm)],[5445, 5438])).
% 4.70/4.87 tff(5447,plain,
% 4.70/4.87 ((mult(mult(a, a), mult(a, mult(c, b))) = mult(a, mult(mult(a, mult(c, b)), a))) <=> (mult(mult(a, mult(mult(b, c), a)), a) = mult(a, mult(a, mult(mult(b, c), a))))),
% 4.70/4.87 inference(symmetry,[status(thm)],[5446])).
% 4.70/4.87 tff(5448,plain,
% 4.70/4.87 ((mult(mult(mult(a, a), mult(c, b)), a) = mult(mult(a, a), mult(a, mult(c, b)))) <=> (mult(a, mult(mult(a, mult(c, b)), a)) = mult(mult(a, a), mult(a, mult(c, b))))),
% 4.70/4.87 inference(monotonicity,[status(thm)],[4757])).
% 4.70/4.87 tff(5449,plain,
% 4.70/4.87 ((mult(mult(mult(a, a), mult(c, b)), a) = mult(mult(a, a), mult(a, mult(c, b)))) <=> (mult(mult(a, a), mult(a, mult(c, b))) = mult(a, mult(mult(a, mult(c, b)), a)))),
% 4.70/4.87 inference(transitivity,[status(thm)],[5448, 5438])).
% 4.70/4.87 tff(5450,plain,
% 4.70/4.87 ((mult(mult(mult(a, a), mult(c, b)), a) = mult(mult(a, a), mult(a, mult(c, b)))) <=> (mult(mult(a, mult(a, mult(c, b))), a) = mult(a, mult(a, mult(a, mult(c, b)))))),
% 4.70/4.87 inference(transitivity,[status(thm)],[5449, 5447, 5437])).
% 4.70/4.87 tff(5451,assumption,(mult(mult(mult(a, a), mult(c, b)), a) = mult(mult(a, a), mult(a, mult(c, b)))), introduced(assumption)).
% 4.70/4.87 tff(5452,plain,
% 4.70/4.87 (mult(mult(a, mult(a, mult(c, b))), a) = mult(a, mult(a, mult(a, mult(c, b))))),
% 4.70/4.87 inference(modus_ponens,[status(thm)],[5451, 5450])).
% 4.70/4.87 tff(5453,plain,
% 4.70/4.87 ($false),
% 4.70/4.87 inference(unit_resolution,[status(thm)],[4730, 5452])).
% 4.70/4.87 tff(5454,plain,((~(mult(mult(mult(a, a), mult(c, b)), a) = mult(mult(a, a), mult(a, mult(c, b))))) | (mult(mult(a, mult(a, mult(c, b))), a) = mult(a, mult(a, mult(a, mult(c, b))))) | (~(mult(mult(a, c), mult(a, b)) = mult(a, mult(mult(a, b), c)))) | (~(mult(mult(a, b), c) = mult(a, mult(c, b)))) | (~(mult(mult(a, mult(b, c)), a) = mult(a, mult(mult(b, c), a)))) | (~(mult(mult(mult(a, c), b), a) = mult(mult(a, c), mult(a, b)))) | (~(mult(mult(a, c), b) = mult(a, mult(b, c)))) | (~(mult(mult(a, a), mult(c, b)) = mult(a, mult(a, mult(c, b)))))), inference(lemma,lemma(discharge,[]))).
% 4.70/4.87 tff(5455,plain,
% 4.70/4.87 (~(mult(mult(mult(a, a), mult(c, b)), a) = mult(mult(a, a), mult(a, mult(c, b))))),
% 4.70/4.87 inference(unit_resolution,[status(thm)],[5454, 5423, 4654, 91, 5309, 971, 97, 5345])).
% 4.70/4.87 tff(5456,plain,
% 4.70/4.87 (((~(mult(mult(mult(a, a), a), mult(c, b)) = mult(mult(a, a), mult(mult(c, b), a)))) | (~(mult(mult(mult(a, a), mult(c, b)), a) = mult(mult(a, a), mult(a, mult(c, b)))))) | (mult(mult(mult(a, a), mult(c, b)), a) = mult(mult(a, a), mult(a, mult(c, b))))),
% 4.70/4.87 inference(tautology,[status(thm)],[])).
% 4.70/4.87 tff(5457,plain,
% 4.70/4.87 ((~(mult(mult(mult(a, a), a), mult(c, b)) = mult(mult(a, a), mult(mult(c, b), a)))) | (~(mult(mult(mult(a, a), mult(c, b)), a) = mult(mult(a, a), mult(a, mult(c, b)))))),
% 4.70/4.87 inference(unit_resolution,[status(thm)],[5456, 5455])).
% 4.70/4.87 tff(5458,plain,
% 4.70/4.87 (((~![X0: $i, X1: $i, X2: $i] : ((~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X2, X1)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X1, X2)))))) | (~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X1, X2)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X2, X1)))))))) | ((~((~(mult(mult(mult(a, a), a), mult(c, b)) = mult(mult(a, a), mult(mult(c, b), a)))) | (~(mult(mult(mult(a, a), mult(c, b)), a) = mult(mult(a, a), mult(a, mult(c, b))))))) | (~((~(mult(mult(mult(a, a), a), mult(c, b)) = mult(mult(a, a), mult(a, mult(c, b))))) | (~(mult(mult(mult(a, a), mult(c, b)), a) = mult(mult(a, a), mult(mult(c, b), a)))))))) <=> ((~![X0: $i, X1: $i, X2: $i] : ((~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X2, X1)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X1, X2)))))) | (~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X1, X2)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X2, X1)))))))) | (~((~(mult(mult(mult(a, a), a), mult(c, b)) = mult(mult(a, a), mult(mult(c, b), a)))) | (~(mult(mult(mult(a, a), mult(c, b)), a) = mult(mult(a, a), mult(a, mult(c, b))))))) | (~((~(mult(mult(mult(a, a), a), mult(c, b)) = mult(mult(a, a), mult(a, mult(c, b))))) | (~(mult(mult(mult(a, a), mult(c, b)), a) = mult(mult(a, a), mult(mult(c, b), a)))))))),
% 4.70/4.88 inference(rewrite,[status(thm)],[])).
% 4.70/4.88 tff(5459,plain,
% 4.70/4.88 ((~![X0: $i, X1: $i, X2: $i] : ((~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X2, X1)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X1, X2)))))) | (~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X1, X2)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X2, X1)))))))) | ((~((~(mult(mult(mult(a, a), a), mult(c, b)) = mult(mult(a, a), mult(mult(c, b), a)))) | (~(mult(mult(mult(a, a), mult(c, b)), a) = mult(mult(a, a), mult(a, mult(c, b))))))) | (~((~(mult(mult(mult(a, a), a), mult(c, b)) = mult(mult(a, a), mult(a, mult(c, b))))) | (~(mult(mult(mult(a, a), mult(c, b)), a) = mult(mult(a, a), mult(mult(c, b), a)))))))),
% 4.70/4.88 inference(quant_inst,[status(thm)],[])).
% 4.70/4.88 tff(5460,plain,
% 4.70/4.88 ((~![X0: $i, X1: $i, X2: $i] : ((~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X2, X1)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X1, X2)))))) | (~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X1, X2)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X2, X1)))))))) | (~((~(mult(mult(mult(a, a), a), mult(c, b)) = mult(mult(a, a), mult(mult(c, b), a)))) | (~(mult(mult(mult(a, a), mult(c, b)), a) = mult(mult(a, a), mult(a, mult(c, b))))))) | (~((~(mult(mult(mult(a, a), a), mult(c, b)) = mult(mult(a, a), mult(a, mult(c, b))))) | (~(mult(mult(mult(a, a), mult(c, b)), a) = mult(mult(a, a), mult(mult(c, b), a))))))),
% 4.70/4.88 inference(modus_ponens,[status(thm)],[5459, 5458])).
% 4.70/4.88 tff(5461,plain,
% 4.70/4.88 ((~((~(mult(mult(mult(a, a), a), mult(c, b)) = mult(mult(a, a), mult(mult(c, b), a)))) | (~(mult(mult(mult(a, a), mult(c, b)), a) = mult(mult(a, a), mult(a, mult(c, b))))))) | (~((~(mult(mult(mult(a, a), a), mult(c, b)) = mult(mult(a, a), mult(a, mult(c, b))))) | (~(mult(mult(mult(a, a), mult(c, b)), a) = mult(mult(a, a), mult(mult(c, b), a))))))),
% 4.70/4.88 inference(unit_resolution,[status(thm)],[5460, 30])).
% 4.70/4.88 tff(5462,plain,
% 4.70/4.88 (~((~(mult(mult(mult(a, a), a), mult(c, b)) = mult(mult(a, a), mult(a, mult(c, b))))) | (~(mult(mult(mult(a, a), mult(c, b)), a) = mult(mult(a, a), mult(mult(c, b), a)))))),
% 4.70/4.88 inference(unit_resolution,[status(thm)],[5461, 5457])).
% 4.70/4.88 tff(5463,plain,
% 4.70/4.88 (((~(mult(mult(mult(a, a), a), mult(c, b)) = mult(mult(a, a), mult(a, mult(c, b))))) | (~(mult(mult(mult(a, a), mult(c, b)), a) = mult(mult(a, a), mult(mult(c, b), a))))) | (mult(mult(mult(a, a), mult(c, b)), a) = mult(mult(a, a), mult(mult(c, b), a)))),
% 4.70/4.88 inference(tautology,[status(thm)],[])).
% 4.70/4.88 tff(5464,plain,
% 4.70/4.88 (mult(mult(mult(a, a), mult(c, b)), a) = mult(mult(a, a), mult(mult(c, b), a))),
% 4.70/4.88 inference(unit_resolution,[status(thm)],[5463, 5462])).
% 4.70/4.88 tff(5465,plain,
% 4.70/4.88 ((~(mult(mult(a, a), mult(a, mult(c, b))) = mult(a, mult(mult(a, mult(c, b)), a)))) | (~(mult(mult(a, mult(a, mult(c, b))), a) = mult(a, mult(a, mult(a, mult(c, b))))))),
% 4.70/4.88 inference(unit_resolution,[status(thm)],[4731, 5423])).
% 4.70/4.88 tff(5466,plain,
% 4.70/4.88 (~((~(mult(mult(a, a), mult(a, mult(c, b))) = mult(a, mult(a, mult(a, mult(c, b)))))) | (~(mult(mult(a, mult(a, mult(c, b))), a) = mult(a, mult(mult(a, mult(c, b)), a)))))),
% 4.70/4.88 inference(unit_resolution,[status(thm)],[4743, 5465])).
% 4.70/4.88 tff(5467,plain,
% 4.70/4.88 (mult(mult(a, a), mult(a, mult(c, b))) = mult(a, mult(a, mult(a, mult(c, b))))),
% 4.70/4.88 inference(unit_resolution,[status(thm)],[5439, 5466])).
% 4.70/4.88 tff(5468,plain,
% 4.70/4.88 (mult(a, mult(a, mult(a, mult(c, b)))) = mult(mult(a, a), mult(a, mult(c, b)))),
% 4.70/4.88 inference(symmetry,[status(thm)],[5467])).
% 4.70/4.88 tff(5469,plain,
% 4.70/4.88 (mult(mult(a, c), mult(a, b)) = mult(a, mult(a, mult(c, b)))),
% 4.70/4.88 inference(transitivity,[status(thm)],[4654, 612])).
% 4.70/4.88 tff(5470,plain,
% 4.70/4.88 (mult(a, mult(mult(a, c), mult(a, b))) = mult(a, mult(a, mult(a, mult(c, b))))),
% 4.70/4.88 inference(monotonicity,[status(thm)],[5469])).
% 4.70/4.88 tff(5471,plain,
% 4.70/4.88 (mult(a, mult(mult(b, c), a)) = mult(mult(a, c), mult(a, b))),
% 4.70/4.88 inference(transitivity,[status(thm)],[5356, 607, 971])).
% 4.70/4.88 tff(5472,plain,
% 4.70/4.88 (mult(a, mult(a, mult(mult(b, c), a))) = mult(a, mult(mult(a, c), mult(a, b)))),
% 4.70/4.88 inference(monotonicity,[status(thm)],[5471])).
% 4.70/4.88 tff(5473,plain,
% 4.70/4.88 (mult(a, mult(a, mult(mult(b, c), a))) = mult(mult(a, a), mult(a, mult(c, b)))),
% 4.70/4.88 inference(transitivity,[status(thm)],[5472, 5470, 5468])).
% 4.70/4.88 tff(5474,plain,
% 4.70/4.88 (mult(a, mult(a, mult(c, b))) = mult(mult(a, a), mult(c, b))),
% 4.70/4.88 inference(symmetry,[status(thm)],[5345])).
% 4.70/4.88 tff(5475,plain,
% 4.70/4.88 (mult(mult(a, mult(a, mult(c, b))), a) = mult(mult(mult(a, a), mult(c, b)), a)),
% 4.70/4.88 inference(monotonicity,[status(thm)],[5474])).
% 4.70/4.88 tff(5476,plain,
% 4.70/4.88 (mult(mult(mult(a, c), mult(a, b)), a) = mult(mult(a, mult(a, mult(c, b))), a)),
% 4.70/4.88 inference(monotonicity,[status(thm)],[5469])).
% 4.70/4.88 tff(5477,plain,
% 4.70/4.88 (mult(mult(a, mult(mult(b, c), a)), a) = mult(mult(mult(a, c), mult(a, b)), a)),
% 4.70/4.88 inference(monotonicity,[status(thm)],[5471])).
% 4.70/4.88 tff(5478,plain,
% 4.70/4.88 (mult(mult(a, mult(mult(b, c), a)), a) = mult(a, mult(mult(a, mult(c, b)), a))),
% 4.70/4.88 inference(transitivity,[status(thm)],[5477, 5476, 5475, 4757])).
% 4.70/4.88 tff(5479,plain,
% 4.70/4.88 ((mult(mult(a, mult(mult(b, c), a)), a) = mult(a, mult(a, mult(mult(b, c), a)))) <=> (mult(a, mult(mult(a, mult(c, b)), a)) = mult(mult(a, a), mult(a, mult(c, b))))),
% 4.70/4.88 inference(monotonicity,[status(thm)],[5478, 5473])).
% 4.70/4.88 tff(5480,plain,
% 4.70/4.88 ((mult(mult(a, mult(mult(b, c), a)), a) = mult(a, mult(a, mult(mult(b, c), a)))) <=> (mult(mult(a, a), mult(a, mult(c, b))) = mult(a, mult(mult(a, mult(c, b)), a)))),
% 4.70/4.88 inference(transitivity,[status(thm)],[5479, 5438])).
% 4.70/4.88 tff(5481,plain,
% 4.70/4.88 (mult(a, mult(mult(a, c), mult(a, b))) = mult(a, mult(a, mult(mult(b, c), a)))),
% 4.70/4.88 inference(symmetry,[status(thm)],[5472])).
% 4.70/4.88 tff(5482,plain,
% 4.70/4.88 (mult(a, mult(a, mult(a, mult(c, b)))) = mult(a, mult(mult(a, c), mult(a, b)))),
% 4.70/4.88 inference(symmetry,[status(thm)],[5470])).
% 4.70/4.88 tff(5483,plain,
% 4.70/4.88 (mult(a, mult(a, mult(a, mult(c, b)))) = mult(a, mult(a, mult(mult(b, c), a)))),
% 4.70/4.88 inference(transitivity,[status(thm)],[5482, 5481])).
% 4.70/4.88 tff(5484,plain,
% 4.70/4.88 (mult(mult(mult(a, c), mult(a, b)), a) = mult(mult(a, mult(mult(b, c), a)), a)),
% 4.70/4.88 inference(symmetry,[status(thm)],[5477])).
% 4.70/4.88 tff(5485,plain,
% 4.70/4.88 (mult(mult(a, mult(a, mult(c, b))), a) = mult(mult(mult(a, c), mult(a, b)), a)),
% 4.70/4.88 inference(symmetry,[status(thm)],[5476])).
% 4.70/4.88 tff(5486,plain,
% 4.70/4.88 (mult(mult(a, mult(a, mult(c, b))), a) = mult(mult(a, mult(mult(b, c), a)), a)),
% 4.70/4.88 inference(transitivity,[status(thm)],[5485, 5484])).
% 4.70/4.88 tff(5487,plain,
% 4.70/4.88 ((mult(mult(a, mult(a, mult(c, b))), a) = mult(a, mult(a, mult(a, mult(c, b))))) <=> (mult(mult(a, mult(mult(b, c), a)), a) = mult(a, mult(a, mult(mult(b, c), a))))),
% 4.70/4.88 inference(monotonicity,[status(thm)],[5486, 5483])).
% 4.70/4.88 tff(5488,plain,
% 4.70/4.88 ((mult(mult(a, mult(a, mult(c, b))), a) = mult(a, mult(a, mult(a, mult(c, b))))) <=> (mult(mult(a, a), mult(a, mult(c, b))) = mult(a, mult(mult(a, mult(c, b)), a)))),
% 4.70/4.88 inference(transitivity,[status(thm)],[5487, 5480])).
% 4.70/4.88 tff(5489,plain,
% 4.70/4.88 ((~(mult(mult(a, mult(a, mult(c, b))), a) = mult(a, mult(a, mult(a, mult(c, b)))))) <=> (~(mult(mult(a, a), mult(a, mult(c, b))) = mult(a, mult(mult(a, mult(c, b)), a))))),
% 4.70/4.88 inference(monotonicity,[status(thm)],[5488])).
% 4.70/4.88 tff(5490,plain,
% 4.70/4.88 (~(mult(mult(a, a), mult(a, mult(c, b))) = mult(a, mult(mult(a, mult(c, b)), a)))),
% 4.70/4.88 inference(modus_ponens,[status(thm)],[5423, 5489])).
% 4.70/4.88 tff(5491,plain,
% 4.70/4.88 (mult(mult(a, b), mult(a, c)) = mult(a, mult(mult(a, c), b))),
% 4.70/4.88 inference(unit_resolution,[status(thm)],[138, 5374])).
% 4.70/4.88 tff(5492,plain,
% 4.70/4.88 (mult(mult(a, a), mult(b, c)) = mult(a, mult(a, mult(b, c)))),
% 4.70/4.88 inference(unit_resolution,[status(thm)],[2627, 5308])).
% 4.70/4.88 tff(5493,plain,
% 4.70/4.88 ((mult(a, mult(mult(a, mult(a, c)), b)) = mult(mult(a, b), mult(a, mult(a, c)))) <=> (mult(mult(a, b), mult(a, mult(a, c))) = mult(a, mult(mult(a, mult(a, c)), b)))),
% 4.70/4.88 inference(commutativity,[status(thm)],[])).
% 4.70/4.88 tff(5494,plain,
% 4.70/4.88 (mult(mult(a, mult(a, c)), b) = mult(mult(a, c), mult(a, b))),
% 4.70/4.88 inference(transitivity,[status(thm)],[1220, 5357, 1424, 215, 594])).
% 4.70/4.88 tff(5495,plain,
% 4.70/4.88 (mult(a, mult(mult(a, mult(a, c)), b)) = mult(a, mult(mult(a, c), mult(a, b)))),
% 4.70/4.88 inference(monotonicity,[status(thm)],[5494])).
% 4.70/4.88 tff(5496,plain,
% 4.70/4.88 (mult(a, mult(mult(a, c), mult(a, b))) = mult(a, mult(mult(a, mult(a, c)), b))),
% 4.70/4.88 inference(symmetry,[status(thm)],[5495])).
% 4.70/4.88 tff(5497,plain,
% 4.70/4.88 (mult(mult(a, mult(b, c)), a) = mult(mult(a, c), mult(a, b))),
% 4.70/4.88 inference(transitivity,[status(thm)],[215, 594])).
% 4.70/4.88 tff(5498,plain,
% 4.70/4.88 (mult(a, mult(mult(a, mult(b, c)), a)) = mult(a, mult(mult(a, c), mult(a, b)))),
% 4.70/4.88 inference(monotonicity,[status(thm)],[5497])).
% 4.70/4.88 tff(5499,plain,
% 4.70/4.88 ((~![C: $i, B: $i, A: $i] : (mult(mult(mult(A, B), C), B) = mult(A, mult(mult(B, C), B)))) | (mult(mult(mult(a, a), mult(b, c)), a) = mult(a, mult(mult(a, mult(b, c)), a)))),
% 4.70/4.88 inference(quant_inst,[status(thm)],[])).
% 4.70/4.88 tff(5500,plain,
% 4.70/4.88 (mult(mult(mult(a, a), mult(b, c)), a) = mult(a, mult(mult(a, mult(b, c)), a))),
% 4.70/4.88 inference(unit_resolution,[status(thm)],[5499, 860])).
% 4.70/4.88 tff(5501,plain,
% 4.70/4.88 (mult(a, mult(mult(a, c), b)) = mult(a, mult(a, mult(b, c)))),
% 4.70/4.88 inference(symmetry,[status(thm)],[1620])).
% 4.70/4.88 tff(5502,plain,
% 4.70/4.88 (mult(mult(mult(a, b), c), a) = mult(mult(a, a), mult(b, c))),
% 4.70/4.88 inference(transitivity,[status(thm)],[168, 167, 5501, 1194])).
% 4.70/4.88 tff(5503,plain,
% 4.70/4.88 (mult(mult(mult(mult(a, b), c), a), a) = mult(mult(mult(a, a), mult(b, c)), a)),
% 4.70/4.88 inference(monotonicity,[status(thm)],[5502])).
% 4.70/4.88 tff(5504,plain,
% 4.70/4.88 (mult(mult(mult(a, b), mult(a, c)), a) = mult(mult(mult(mult(a, b), c), a), a)),
% 4.70/4.88 inference(monotonicity,[status(thm)],[403])).
% 4.70/4.88 tff(5505,plain,
% 4.70/4.88 (mult(mult(mult(a, b), mult(a, c)), a) = mult(a, mult(mult(a, mult(a, c)), b))),
% 4.70/4.88 inference(transitivity,[status(thm)],[5504, 5503, 5500, 5498, 5496])).
% 4.70/4.88 tff(5506,plain,
% 4.70/4.88 ((mult(mult(mult(a, b), mult(a, c)), a) = mult(mult(a, b), mult(a, mult(a, c)))) <=> (mult(a, mult(mult(a, mult(a, c)), b)) = mult(mult(a, b), mult(a, mult(a, c))))),
% 4.70/4.88 inference(monotonicity,[status(thm)],[5505])).
% 4.70/4.88 tff(5507,plain,
% 4.70/4.88 ((mult(mult(mult(a, b), mult(a, c)), a) = mult(mult(a, b), mult(a, mult(a, c)))) <=> (mult(mult(a, b), mult(a, mult(a, c))) = mult(a, mult(mult(a, mult(a, c)), b)))),
% 4.70/4.88 inference(transitivity,[status(thm)],[5506, 5493])).
% 4.70/4.88 tff(5508,plain,
% 4.70/4.88 ((mult(mult(a, b), mult(a, mult(a, c))) = mult(a, mult(mult(a, mult(a, c)), b))) <=> (mult(mult(mult(a, b), mult(a, c)), a) = mult(mult(a, b), mult(a, mult(a, c))))),
% 4.70/4.88 inference(symmetry,[status(thm)],[5507])).
% 4.70/4.88 tff(5509,assumption,(mult(mult(a, a), mult(a, mult(c, b))) = mult(a, mult(a, mult(a, mult(c, b))))), introduced(assumption)).
% 4.70/4.88 tff(5510,plain,
% 4.70/4.88 (mult(a, mult(a, mult(a, mult(c, b)))) = mult(mult(a, a), mult(a, mult(c, b)))),
% 4.70/4.88 inference(symmetry,[status(thm)],[5509])).
% 4.70/4.88 tff(5511,plain,
% 4.70/4.88 (mult(a, mult(mult(a, mult(a, c)), b)) = mult(mult(a, a), mult(a, mult(c, b)))),
% 4.70/4.88 inference(transitivity,[status(thm)],[5495, 5428, 5510])).
% 4.70/4.88 tff(5512,assumption,(mult(mult(mult(a, a), mult(c, b)), a) = mult(mult(a, a), mult(mult(c, b), a))), introduced(assumption)).
% 4.70/4.88 tff(5513,plain,
% 4.70/4.88 (mult(mult(a, a), mult(mult(c, b), a)) = mult(mult(mult(a, a), mult(c, b)), a)),
% 4.70/4.88 inference(symmetry,[status(thm)],[5512])).
% 4.70/4.88 tff(5514,plain,
% 4.70/4.88 (mult(a, mult(c, mult(a, b))) = mult(a, mult(mult(a, c), b))),
% 4.70/4.88 inference(transitivity,[status(thm)],[1414, 708, 108, 168, 167])).
% 4.70/4.88 tff(5515,plain,
% 4.70/4.88 (ld(a, mult(a, mult(c, mult(a, b)))) = ld(a, mult(a, mult(mult(a, c), b)))),
% 4.70/4.88 inference(monotonicity,[status(thm)],[5514])).
% 4.70/4.88 tff(5516,plain,
% 4.70/4.88 (ld(a, mult(a, mult(mult(a, c), b))) = ld(a, mult(a, mult(c, mult(a, b))))),
% 4.70/4.88 inference(symmetry,[status(thm)],[5515])).
% 4.70/4.88 tff(5517,plain,
% 4.70/4.88 (mult(mult(a, c), b) = mult(mult(c, b), a)),
% 4.70/4.88 inference(transitivity,[status(thm)],[2213, 5516, 667, 1111])).
% 4.70/4.88 tff(5518,plain,
% 4.70/4.88 (mult(mult(a, a), mult(mult(a, c), b)) = mult(mult(a, a), mult(mult(c, b), a))),
% 4.70/4.88 inference(monotonicity,[status(thm)],[5517])).
% 4.70/4.88 tff(5519,plain,
% 4.70/4.88 (mult(a, mult(a, mult(c, b))) = mult(a, mult(mult(b, c), a))),
% 4.70/4.88 inference(transitivity,[status(thm)],[111, 948, 1106, 511, 510])).
% 4.70/4.88 tff(5520,plain,
% 4.70/4.88 (ld(a, mult(a, mult(a, mult(c, b)))) = ld(a, mult(a, mult(mult(b, c), a)))),
% 4.70/4.88 inference(monotonicity,[status(thm)],[5519])).
% 4.70/4.88 tff(5521,plain,
% 4.70/4.88 (mult(a, mult(c, b)) = mult(mult(b, c), a)),
% 4.70/4.88 inference(transitivity,[status(thm)],[803, 5520, 4716])).
% 4.70/4.88 tff(5522,plain,
% 4.70/4.88 (mult(mult(a, a), mult(a, mult(c, b))) = mult(mult(a, a), mult(mult(b, c), a))),
% 4.70/4.88 inference(monotonicity,[status(thm)],[5521])).
% 4.70/4.88 tff(5523,plain,
% 4.70/4.88 ((mult(mult(a, a), mult(a, mult(c, b))) = mult(a, mult(a, mult(a, mult(c, b))))) <=> (mult(mult(a, a), mult(mult(b, c), a)) = mult(a, mult(a, mult(mult(b, c), a))))),
% 4.70/4.88 inference(monotonicity,[status(thm)],[5522, 5430])).
% 4.70/4.88 tff(5524,plain,
% 4.70/4.88 (mult(mult(a, a), mult(mult(b, c), a)) = mult(a, mult(a, mult(mult(b, c), a)))),
% 4.70/4.88 inference(modus_ponens,[status(thm)],[5509, 5523])).
% 4.70/4.88 tff(5525,plain,
% 4.70/4.88 (mult(mult(a, a), mult(b, c)) = mult(a, mult(mult(a, c), b))),
% 4.70/4.88 inference(transitivity,[status(thm)],[1154, 1620])).
% 4.70/4.88 tff(5526,plain,
% 4.70/4.88 (mult(mult(mult(a, a), b), c) = mult(mult(a, b), mult(a, c))),
% 4.70/4.88 inference(transitivity,[status(thm)],[5347, 269, 1414, 708, 108, 168])).
% 4.70/4.88 tff(5527,plain,
% 4.70/4.88 ((mult(mult(mult(a, a), b), c) = mult(mult(a, a), mult(b, c))) <=> (mult(mult(a, b), mult(a, c)) = mult(a, mult(mult(a, c), b)))),
% 4.70/4.88 inference(monotonicity,[status(thm)],[5526, 5525])).
% 4.70/4.88 tff(5528,plain,
% 4.70/4.88 ((mult(mult(a, b), mult(a, c)) = mult(a, mult(mult(a, c), b))) <=> (mult(mult(mult(a, a), b), c) = mult(mult(a, a), mult(b, c)))),
% 4.70/4.88 inference(symmetry,[status(thm)],[5527])).
% 4.70/4.88 tff(5529,plain,
% 4.70/4.88 (mult(mult(mult(a, a), b), c) = mult(mult(a, a), mult(b, c))),
% 4.70/4.88 inference(modus_ponens,[status(thm)],[167, 5528])).
% 4.70/4.88 tff(5530,plain,
% 4.70/4.88 (mult(mult(mult(a, a), b), mult(a, c)) = mult(mult(a, mult(a, b)), mult(a, c))),
% 4.70/4.88 inference(monotonicity,[status(thm)],[4190])).
% 4.70/4.88 tff(5531,plain,
% 4.70/4.88 (mult(mult(a, mult(a, b)), mult(a, c)) = mult(mult(mult(a, a), b), mult(a, c))),
% 4.70/4.88 inference(symmetry,[status(thm)],[5530])).
% 4.70/4.88 tff(5532,plain,
% 4.70/4.88 (mult(mult(a, mult(a, b)), c) = mult(mult(mult(a, a), b), c)),
% 4.70/4.88 inference(symmetry,[status(thm)],[5347])).
% 4.70/4.88 tff(5533,plain,
% 4.70/4.88 (mult(mult(mult(a, mult(a, b)), c), a) = mult(mult(mult(mult(a, a), b), c), a)),
% 4.70/4.88 inference(monotonicity,[status(thm)],[5532])).
% 4.70/4.88 tff(5534,plain,
% 4.70/4.88 ((mult(mult(mult(a, mult(a, b)), c), a) = mult(mult(a, mult(a, b)), mult(a, c))) <=> (mult(mult(mult(mult(a, a), b), c), a) = mult(mult(mult(a, a), b), mult(a, c)))),
% 4.70/4.88 inference(monotonicity,[status(thm)],[5533, 5531])).
% 4.70/4.88 tff(5535,plain,
% 4.70/4.88 ((mult(mult(mult(mult(a, a), b), c), a) = mult(mult(mult(a, a), b), mult(a, c))) <=> (mult(mult(mult(a, mult(a, b)), c), a) = mult(mult(a, mult(a, b)), mult(a, c)))),
% 4.70/4.88 inference(symmetry,[status(thm)],[5534])).
% 4.70/4.88 tff(5536,plain,
% 4.70/4.88 ((mult(a, mult(mult(a, c), mult(a, b))) = mult(mult(a, mult(a, b)), mult(a, c))) <=> (mult(mult(a, mult(a, b)), mult(a, c)) = mult(a, mult(mult(a, c), mult(a, b))))),
% 4.70/4.88 inference(commutativity,[status(thm)],[])).
% 4.70/4.88 tff(5537,plain,
% 4.70/4.88 (mult(mult(mult(a, a), b), c) = mult(mult(mult(a, b), c), a)),
% 4.70/4.88 inference(transitivity,[status(thm)],[5347, 269, 1414, 708, 108])).
% 4.70/4.88 tff(5538,plain,
% 4.70/4.88 (mult(mult(mult(mult(a, a), b), c), a) = mult(mult(mult(mult(a, b), c), a), a)),
% 4.70/4.88 inference(monotonicity,[status(thm)],[5537])).
% 4.70/4.88 tff(5539,plain,
% 4.70/4.88 (mult(mult(mult(mult(a, a), b), c), a) = mult(a, mult(mult(a, c), mult(a, b)))),
% 4.70/4.88 inference(transitivity,[status(thm)],[5538, 5503, 5500, 5498])).
% 4.70/4.88 tff(5540,plain,
% 4.70/4.88 ((mult(mult(mult(mult(a, a), b), c), a) = mult(mult(mult(a, a), b), mult(a, c))) <=> (mult(a, mult(mult(a, c), mult(a, b))) = mult(mult(a, mult(a, b)), mult(a, c)))),
% 4.70/4.88 inference(monotonicity,[status(thm)],[5539, 5530])).
% 4.70/4.88 tff(5541,plain,
% 4.70/4.88 ((mult(mult(mult(mult(a, a), b), c), a) = mult(mult(mult(a, a), b), mult(a, c))) <=> (mult(mult(a, mult(a, b)), mult(a, c)) = mult(a, mult(mult(a, c), mult(a, b))))),
% 4.70/4.88 inference(transitivity,[status(thm)],[5540, 5536])).
% 4.70/4.88 tff(5542,plain,
% 4.70/4.88 ((mult(mult(a, mult(a, b)), mult(a, c)) = mult(a, mult(mult(a, c), mult(a, b)))) <=> (mult(mult(mult(mult(a, a), b), c), a) = mult(mult(mult(a, a), b), mult(a, c)))),
% 4.70/4.88 inference(symmetry,[status(thm)],[5541])).
% 4.70/4.88 tff(5543,plain,
% 4.70/4.88 ((mult(mult(a, mult(a, b)), mult(a, c)) = mult(a, mult(mult(a, c), mult(a, b)))) <=> (mult(mult(mult(a, mult(a, b)), c), a) = mult(mult(a, mult(a, b)), mult(a, c)))),
% 4.70/4.89 inference(transitivity,[status(thm)],[5542, 5535])).
% 4.70/4.89 tff(5544,assumption,(mult(mult(a, a), mult(a, c)) = mult(a, mult(a, mult(a, c)))), introduced(assumption)).
% 4.70/4.89 tff(5545,assumption,(~(mult(mult(a, a), mult(a, mult(c, b))) = mult(a, mult(mult(a, mult(c, b)), a)))), introduced(assumption)).
% 4.70/4.89 tff(5546,assumption,(~(mult(mult(mult(a, b), mult(a, c)), a) = mult(mult(a, b), mult(a, mult(a, c))))), introduced(assumption)).
% 4.70/4.89 tff(5547,plain,
% 4.70/4.89 (((~(mult(mult(mult(a, b), a), mult(a, c)) = mult(mult(a, b), mult(mult(a, c), a)))) | (~(mult(mult(mult(a, b), mult(a, c)), a) = mult(mult(a, b), mult(a, mult(a, c)))))) | (mult(mult(mult(a, b), mult(a, c)), a) = mult(mult(a, b), mult(a, mult(a, c))))),
% 4.70/4.89 inference(tautology,[status(thm)],[])).
% 4.70/4.89 tff(5548,plain,
% 4.70/4.89 ((~(mult(mult(mult(a, b), a), mult(a, c)) = mult(mult(a, b), mult(mult(a, c), a)))) | (~(mult(mult(mult(a, b), mult(a, c)), a) = mult(mult(a, b), mult(a, mult(a, c)))))),
% 4.70/4.89 inference(unit_resolution,[status(thm)],[5547, 5546])).
% 4.70/4.89 tff(5549,plain,
% 4.70/4.89 (((~![X0: $i, X1: $i, X2: $i] : ((~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X2, X1)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X1, X2)))))) | (~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X1, X2)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X2, X1)))))))) | ((~((~(mult(mult(mult(a, b), a), mult(a, c)) = mult(mult(a, b), mult(a, mult(a, c))))) | (~(mult(mult(mult(a, b), mult(a, c)), a) = mult(mult(a, b), mult(mult(a, c), a)))))) | (~((~(mult(mult(mult(a, b), a), mult(a, c)) = mult(mult(a, b), mult(mult(a, c), a)))) | (~(mult(mult(mult(a, b), mult(a, c)), a) = mult(mult(a, b), mult(a, mult(a, c))))))))) <=> ((~![X0: $i, X1: $i, X2: $i] : ((~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X2, X1)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X1, X2)))))) | (~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X1, X2)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X2, X1)))))))) | (~((~(mult(mult(mult(a, b), a), mult(a, c)) = mult(mult(a, b), mult(a, mult(a, c))))) | (~(mult(mult(mult(a, b), mult(a, c)), a) = mult(mult(a, b), mult(mult(a, c), a)))))) | (~((~(mult(mult(mult(a, b), a), mult(a, c)) = mult(mult(a, b), mult(mult(a, c), a)))) | (~(mult(mult(mult(a, b), mult(a, c)), a) = mult(mult(a, b), mult(a, mult(a, c))))))))),
% 4.70/4.89 inference(rewrite,[status(thm)],[])).
% 4.70/4.89 tff(5550,plain,
% 4.70/4.89 (((~((~(mult(mult(mult(a, b), a), mult(a, c)) = mult(mult(a, b), mult(mult(a, c), a)))) | (~(mult(mult(mult(a, b), mult(a, c)), a) = mult(mult(a, b), mult(a, mult(a, c))))))) | (~((~(mult(mult(mult(a, b), a), mult(a, c)) = mult(mult(a, b), mult(a, mult(a, c))))) | (~(mult(mult(mult(a, b), mult(a, c)), a) = mult(mult(a, b), mult(mult(a, c), a))))))) <=> ((~((~(mult(mult(mult(a, b), a), mult(a, c)) = mult(mult(a, b), mult(a, mult(a, c))))) | (~(mult(mult(mult(a, b), mult(a, c)), a) = mult(mult(a, b), mult(mult(a, c), a)))))) | (~((~(mult(mult(mult(a, b), a), mult(a, c)) = mult(mult(a, b), mult(mult(a, c), a)))) | (~(mult(mult(mult(a, b), mult(a, c)), a) = mult(mult(a, b), mult(a, mult(a, c))))))))),
% 4.70/4.89 inference(rewrite,[status(thm)],[])).
% 4.70/4.89 tff(5551,plain,
% 4.70/4.89 (((~![X0: $i, X1: $i, X2: $i] : ((~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X2, X1)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X1, X2)))))) | (~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X1, X2)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X2, X1)))))))) | ((~((~(mult(mult(mult(a, b), a), mult(a, c)) = mult(mult(a, b), mult(mult(a, c), a)))) | (~(mult(mult(mult(a, b), mult(a, c)), a) = mult(mult(a, b), mult(a, mult(a, c))))))) | (~((~(mult(mult(mult(a, b), a), mult(a, c)) = mult(mult(a, b), mult(a, mult(a, c))))) | (~(mult(mult(mult(a, b), mult(a, c)), a) = mult(mult(a, b), mult(mult(a, c), a)))))))) <=> ((~![X0: $i, X1: $i, X2: $i] : ((~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X2, X1)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X1, X2)))))) | (~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X1, X2)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X2, X1)))))))) | ((~((~(mult(mult(mult(a, b), a), mult(a, c)) = mult(mult(a, b), mult(a, mult(a, c))))) | (~(mult(mult(mult(a, b), mult(a, c)), a) = mult(mult(a, b), mult(mult(a, c), a)))))) | (~((~(mult(mult(mult(a, b), a), mult(a, c)) = mult(mult(a, b), mult(mult(a, c), a)))) | (~(mult(mult(mult(a, b), mult(a, c)), a) = mult(mult(a, b), mult(a, mult(a, c)))))))))),
% 4.70/4.89 inference(monotonicity,[status(thm)],[5550])).
% 4.70/4.89 tff(5552,plain,
% 4.70/4.89 (((~![X0: $i, X1: $i, X2: $i] : ((~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X2, X1)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X1, X2)))))) | (~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X1, X2)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X2, X1)))))))) | ((~((~(mult(mult(mult(a, b), a), mult(a, c)) = mult(mult(a, b), mult(mult(a, c), a)))) | (~(mult(mult(mult(a, b), mult(a, c)), a) = mult(mult(a, b), mult(a, mult(a, c))))))) | (~((~(mult(mult(mult(a, b), a), mult(a, c)) = mult(mult(a, b), mult(a, mult(a, c))))) | (~(mult(mult(mult(a, b), mult(a, c)), a) = mult(mult(a, b), mult(mult(a, c), a)))))))) <=> ((~![X0: $i, X1: $i, X2: $i] : ((~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X2, X1)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X1, X2)))))) | (~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X1, X2)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X2, X1)))))))) | (~((~(mult(mult(mult(a, b), a), mult(a, c)) = mult(mult(a, b), mult(a, mult(a, c))))) | (~(mult(mult(mult(a, b), mult(a, c)), a) = mult(mult(a, b), mult(mult(a, c), a)))))) | (~((~(mult(mult(mult(a, b), a), mult(a, c)) = mult(mult(a, b), mult(mult(a, c), a)))) | (~(mult(mult(mult(a, b), mult(a, c)), a) = mult(mult(a, b), mult(a, mult(a, c))))))))),
% 4.70/4.89 inference(transitivity,[status(thm)],[5551, 5549])).
% 4.70/4.89 tff(5553,plain,
% 4.70/4.89 ((~![X0: $i, X1: $i, X2: $i] : ((~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X2, X1)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X1, X2)))))) | (~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X1, X2)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X2, X1)))))))) | ((~((~(mult(mult(mult(a, b), a), mult(a, c)) = mult(mult(a, b), mult(mult(a, c), a)))) | (~(mult(mult(mult(a, b), mult(a, c)), a) = mult(mult(a, b), mult(a, mult(a, c))))))) | (~((~(mult(mult(mult(a, b), a), mult(a, c)) = mult(mult(a, b), mult(a, mult(a, c))))) | (~(mult(mult(mult(a, b), mult(a, c)), a) = mult(mult(a, b), mult(mult(a, c), a)))))))),
% 4.70/4.89 inference(quant_inst,[status(thm)],[])).
% 4.70/4.89 tff(5554,plain,
% 4.70/4.89 ((~![X0: $i, X1: $i, X2: $i] : ((~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X2, X1)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X1, X2)))))) | (~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X1, X2)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X2, X1)))))))) | (~((~(mult(mult(mult(a, b), a), mult(a, c)) = mult(mult(a, b), mult(a, mult(a, c))))) | (~(mult(mult(mult(a, b), mult(a, c)), a) = mult(mult(a, b), mult(mult(a, c), a)))))) | (~((~(mult(mult(mult(a, b), a), mult(a, c)) = mult(mult(a, b), mult(mult(a, c), a)))) | (~(mult(mult(mult(a, b), mult(a, c)), a) = mult(mult(a, b), mult(a, mult(a, c)))))))),
% 4.70/4.89 inference(modus_ponens,[status(thm)],[5553, 5552])).
% 4.70/4.89 tff(5555,plain,
% 4.70/4.89 ((~((~(mult(mult(mult(a, b), a), mult(a, c)) = mult(mult(a, b), mult(a, mult(a, c))))) | (~(mult(mult(mult(a, b), mult(a, c)), a) = mult(mult(a, b), mult(mult(a, c), a)))))) | (~((~(mult(mult(mult(a, b), a), mult(a, c)) = mult(mult(a, b), mult(mult(a, c), a)))) | (~(mult(mult(mult(a, b), mult(a, c)), a) = mult(mult(a, b), mult(a, mult(a, c)))))))),
% 4.70/4.89 inference(unit_resolution,[status(thm)],[5554, 30])).
% 4.70/4.89 tff(5556,plain,
% 4.70/4.89 (~((~(mult(mult(mult(a, b), a), mult(a, c)) = mult(mult(a, b), mult(a, mult(a, c))))) | (~(mult(mult(mult(a, b), mult(a, c)), a) = mult(mult(a, b), mult(mult(a, c), a)))))),
% 4.70/4.89 inference(unit_resolution,[status(thm)],[5555, 5548])).
% 4.70/4.89 tff(5557,plain,
% 4.70/4.89 (((~(mult(mult(mult(a, b), a), mult(a, c)) = mult(mult(a, b), mult(a, mult(a, c))))) | (~(mult(mult(mult(a, b), mult(a, c)), a) = mult(mult(a, b), mult(mult(a, c), a))))) | (mult(mult(mult(a, b), a), mult(a, c)) = mult(mult(a, b), mult(a, mult(a, c))))),
% 4.70/4.89 inference(tautology,[status(thm)],[])).
% 4.70/4.89 tff(5558,plain,
% 4.70/4.89 (mult(mult(mult(a, b), a), mult(a, c)) = mult(mult(a, b), mult(a, mult(a, c)))),
% 4.70/4.89 inference(unit_resolution,[status(thm)],[5557, 5556])).
% 4.70/4.89 tff(5559,plain,
% 4.70/4.89 ((~![B: $i, A: $i] : (rd(mult(A, B), B) = A)) | (rd(mult(mult(mult(a, a), b), mult(a, c)), mult(a, c)) = mult(mult(a, a), b))),
% 4.70/4.89 inference(quant_inst,[status(thm)],[])).
% 4.70/4.89 tff(5560,plain,
% 4.70/4.89 (rd(mult(mult(mult(a, a), b), mult(a, c)), mult(a, c)) = mult(mult(a, a), b)),
% 4.70/4.89 inference(unit_resolution,[status(thm)],[5559, 72])).
% 4.70/4.89 tff(5561,assumption,(mult(mult(a, mult(a, b)), mult(a, c)) = mult(a, mult(mult(a, b), mult(a, c)))), introduced(assumption)).
% 4.70/4.89 tff(5562,plain,
% 4.70/4.89 (mult(a, mult(mult(a, b), mult(a, c))) = mult(mult(a, mult(a, b)), mult(a, c))),
% 4.70/4.89 inference(symmetry,[status(thm)],[5561])).
% 4.70/4.89 tff(5563,plain,
% 4.70/4.89 (mult(mult(a, b), mult(a, c)) = mult(mult(a, mult(c, b)), a)),
% 4.70/4.89 inference(transitivity,[status(thm)],[403, 107])).
% 4.70/4.89 tff(5564,plain,
% 4.70/4.89 (mult(a, mult(mult(a, b), mult(a, c))) = mult(a, mult(mult(a, mult(c, b)), a))),
% 4.70/4.89 inference(monotonicity,[status(thm)],[5563])).
% 4.70/4.89 tff(5565,plain,
% 4.70/4.89 (mult(a, mult(mult(a, mult(c, b)), a)) = mult(a, mult(mult(a, b), mult(a, c)))),
% 4.70/4.89 inference(symmetry,[status(thm)],[5564])).
% 4.70/4.89 tff(5566,plain,
% 4.70/4.89 (ld(a, mult(a, mult(mult(b, c), a))) = ld(a, mult(a, mult(a, mult(c, b))))),
% 4.70/4.89 inference(symmetry,[status(thm)],[5520])).
% 4.70/4.89 tff(5567,plain,
% 4.70/4.89 (mult(mult(b, c), a) = mult(a, mult(c, b))),
% 4.70/4.89 inference(transitivity,[status(thm)],[5314, 5566, 802])).
% 4.70/4.89 tff(5568,plain,
% 4.70/4.89 (mult(mult(mult(b, c), a), a) = mult(mult(a, mult(c, b)), a)),
% 4.70/4.89 inference(monotonicity,[status(thm)],[5567])).
% 4.70/4.89 tff(5569,plain,
% 4.70/4.89 (mult(b, mult(a, mult(a, c))) = mult(mult(a, mult(c, b)), a)),
% 4.70/4.89 inference(transitivity,[status(thm)],[5329, 5318, 5568])).
% 4.70/4.89 tff(5570,plain,
% 4.70/4.89 (mult(a, mult(b, mult(a, mult(a, c)))) = mult(a, mult(mult(a, mult(c, b)), a))),
% 4.70/4.89 inference(monotonicity,[status(thm)],[5569])).
% 4.70/4.89 tff(5571,plain,
% 4.70/4.89 (mult(mult(a, a), mult(mult(b, c), a)) = mult(mult(a, a), mult(a, mult(c, b)))),
% 4.70/4.89 inference(symmetry,[status(thm)],[5522])).
% 4.70/4.89 tff(5572,plain,
% 4.70/4.89 (mult(mult(a, a), mult(b, mult(a, c))) = mult(mult(a, a), mult(mult(b, c), a))),
% 4.70/4.89 inference(monotonicity,[status(thm)],[5317])).
% 4.70/4.89 tff(5573,plain,
% 4.70/4.89 (mult(mult(a, a), mult(b, mult(a, c))) = mult(a, mult(mult(a, c), mult(a, b)))),
% 4.70/4.89 inference(transitivity,[status(thm)],[5572, 5571, 5509, 5429])).
% 4.70/4.89 tff(5574,plain,
% 4.70/4.89 ((mult(mult(mult(a, a), b), mult(a, c)) = mult(mult(a, a), mult(b, mult(a, c)))) <=> (mult(mult(a, mult(a, b)), mult(a, c)) = mult(a, mult(mult(a, c), mult(a, b))))),
% 4.70/4.89 inference(monotonicity,[status(thm)],[5530, 5573])).
% 4.70/4.89 tff(5575,plain,
% 4.70/4.89 ((mult(mult(a, mult(a, b)), mult(a, c)) = mult(a, mult(mult(a, c), mult(a, b)))) <=> (mult(mult(mult(a, a), b), mult(a, c)) = mult(mult(a, a), mult(b, mult(a, c))))),
% 4.70/4.89 inference(symmetry,[status(thm)],[5574])).
% 4.70/4.89 tff(5576,plain,
% 4.70/4.89 (mult(a, mult(mult(a, c), mult(a, b))) = mult(mult(a, a), mult(a, mult(c, b)))),
% 4.70/4.89 inference(transitivity,[status(thm)],[5428, 5510])).
% 4.70/4.89 tff(5577,plain,
% 4.70/4.89 (mult(mult(a, mult(a, b)), mult(a, c)) = mult(a, mult(mult(a, mult(c, b)), a))),
% 4.70/4.89 inference(transitivity,[status(thm)],[5561, 5564])).
% 4.70/4.89 tff(5578,plain,
% 4.70/4.89 ((mult(mult(a, mult(a, b)), mult(a, c)) = mult(a, mult(mult(a, c), mult(a, b)))) <=> (mult(a, mult(mult(a, mult(c, b)), a)) = mult(mult(a, a), mult(a, mult(c, b))))),
% 4.70/4.89 inference(monotonicity,[status(thm)],[5577, 5576])).
% 4.70/4.89 tff(5579,plain,
% 4.70/4.89 ((mult(mult(a, mult(a, b)), mult(a, c)) = mult(a, mult(mult(a, c), mult(a, b)))) <=> (mult(mult(a, a), mult(a, mult(c, b))) = mult(a, mult(mult(a, mult(c, b)), a)))),
% 4.70/4.89 inference(transitivity,[status(thm)],[5578, 5438])).
% 4.70/4.89 tff(5580,plain,
% 4.70/4.89 ((mult(mult(a, a), mult(a, mult(c, b))) = mult(a, mult(mult(a, mult(c, b)), a))) <=> (mult(mult(a, mult(a, b)), mult(a, c)) = mult(a, mult(mult(a, c), mult(a, b))))),
% 4.70/4.89 inference(symmetry,[status(thm)],[5579])).
% 4.70/4.89 tff(5581,plain,
% 4.70/4.89 ((mult(mult(a, a), mult(a, mult(c, b))) = mult(a, mult(mult(a, mult(c, b)), a))) <=> (mult(mult(mult(a, a), b), mult(a, c)) = mult(mult(a, a), mult(b, mult(a, c))))),
% 4.70/4.89 inference(transitivity,[status(thm)],[5580, 5575])).
% 4.70/4.89 tff(5582,plain,
% 4.70/4.89 ((~(mult(mult(a, a), mult(a, mult(c, b))) = mult(a, mult(mult(a, mult(c, b)), a)))) <=> (~(mult(mult(mult(a, a), b), mult(a, c)) = mult(mult(a, a), mult(b, mult(a, c)))))),
% 4.70/4.89 inference(monotonicity,[status(thm)],[5581])).
% 4.70/4.89 tff(5583,plain,
% 4.70/4.89 (~(mult(mult(mult(a, a), b), mult(a, c)) = mult(mult(a, a), mult(b, mult(a, c))))),
% 4.70/4.89 inference(modus_ponens,[status(thm)],[5545, 5582])).
% 4.70/4.89 tff(5584,plain,
% 4.70/4.89 (((~(mult(mult(mult(a, a), b), mult(a, c)) = mult(mult(a, a), mult(b, mult(a, c))))) | (~(mult(mult(mult(a, a), mult(a, c)), b) = mult(mult(a, a), mult(mult(a, c), b))))) | (mult(mult(mult(a, a), b), mult(a, c)) = mult(mult(a, a), mult(b, mult(a, c))))),
% 4.70/4.89 inference(tautology,[status(thm)],[])).
% 4.70/4.89 tff(5585,plain,
% 4.70/4.89 ((~(mult(mult(mult(a, a), b), mult(a, c)) = mult(mult(a, a), mult(b, mult(a, c))))) | (~(mult(mult(mult(a, a), mult(a, c)), b) = mult(mult(a, a), mult(mult(a, c), b))))),
% 4.70/4.89 inference(unit_resolution,[status(thm)],[5584, 5583])).
% 4.70/4.89 tff(5586,plain,
% 4.70/4.89 (((~![X0: $i, X1: $i, X2: $i] : ((~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X2, X1)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X1, X2)))))) | (~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X1, X2)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X2, X1)))))))) | ((~((~(mult(mult(mult(a, a), b), mult(a, c)) = mult(mult(a, a), mult(mult(a, c), b)))) | (~(mult(mult(mult(a, a), mult(a, c)), b) = mult(mult(a, a), mult(b, mult(a, c))))))) | (~((~(mult(mult(mult(a, a), b), mult(a, c)) = mult(mult(a, a), mult(b, mult(a, c))))) | (~(mult(mult(mult(a, a), mult(a, c)), b) = mult(mult(a, a), mult(mult(a, c), b)))))))) <=> ((~![X0: $i, X1: $i, X2: $i] : ((~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X2, X1)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X1, X2)))))) | (~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X1, X2)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X2, X1)))))))) | (~((~(mult(mult(mult(a, a), b), mult(a, c)) = mult(mult(a, a), mult(mult(a, c), b)))) | (~(mult(mult(mult(a, a), mult(a, c)), b) = mult(mult(a, a), mult(b, mult(a, c))))))) | (~((~(mult(mult(mult(a, a), b), mult(a, c)) = mult(mult(a, a), mult(b, mult(a, c))))) | (~(mult(mult(mult(a, a), mult(a, c)), b) = mult(mult(a, a), mult(mult(a, c), b)))))))),
% 4.70/4.89 inference(rewrite,[status(thm)],[])).
% 4.70/4.89 tff(5587,plain,
% 4.70/4.89 ((~![X0: $i, X1: $i, X2: $i] : ((~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X2, X1)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X1, X2)))))) | (~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X1, X2)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X2, X1)))))))) | ((~((~(mult(mult(mult(a, a), b), mult(a, c)) = mult(mult(a, a), mult(mult(a, c), b)))) | (~(mult(mult(mult(a, a), mult(a, c)), b) = mult(mult(a, a), mult(b, mult(a, c))))))) | (~((~(mult(mult(mult(a, a), b), mult(a, c)) = mult(mult(a, a), mult(b, mult(a, c))))) | (~(mult(mult(mult(a, a), mult(a, c)), b) = mult(mult(a, a), mult(mult(a, c), b)))))))),
% 4.70/4.89 inference(quant_inst,[status(thm)],[])).
% 4.70/4.89 tff(5588,plain,
% 4.70/4.89 ((~![X0: $i, X1: $i, X2: $i] : ((~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X2, X1)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X1, X2)))))) | (~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X1, X2)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X2, X1)))))))) | (~((~(mult(mult(mult(a, a), b), mult(a, c)) = mult(mult(a, a), mult(mult(a, c), b)))) | (~(mult(mult(mult(a, a), mult(a, c)), b) = mult(mult(a, a), mult(b, mult(a, c))))))) | (~((~(mult(mult(mult(a, a), b), mult(a, c)) = mult(mult(a, a), mult(b, mult(a, c))))) | (~(mult(mult(mult(a, a), mult(a, c)), b) = mult(mult(a, a), mult(mult(a, c), b))))))),
% 4.70/4.89 inference(modus_ponens,[status(thm)],[5587, 5586])).
% 4.70/4.89 tff(5589,plain,
% 4.70/4.89 ((~((~(mult(mult(mult(a, a), b), mult(a, c)) = mult(mult(a, a), mult(mult(a, c), b)))) | (~(mult(mult(mult(a, a), mult(a, c)), b) = mult(mult(a, a), mult(b, mult(a, c))))))) | (~((~(mult(mult(mult(a, a), b), mult(a, c)) = mult(mult(a, a), mult(b, mult(a, c))))) | (~(mult(mult(mult(a, a), mult(a, c)), b) = mult(mult(a, a), mult(mult(a, c), b))))))),
% 4.70/4.89 inference(unit_resolution,[status(thm)],[5588, 30])).
% 4.70/4.89 tff(5590,plain,
% 4.70/4.89 (~((~(mult(mult(mult(a, a), b), mult(a, c)) = mult(mult(a, a), mult(mult(a, c), b)))) | (~(mult(mult(mult(a, a), mult(a, c)), b) = mult(mult(a, a), mult(b, mult(a, c))))))),
% 4.70/4.90 inference(unit_resolution,[status(thm)],[5589, 5585])).
% 4.70/4.90 tff(5591,plain,
% 4.70/4.90 (((~(mult(mult(mult(a, a), b), mult(a, c)) = mult(mult(a, a), mult(mult(a, c), b)))) | (~(mult(mult(mult(a, a), mult(a, c)), b) = mult(mult(a, a), mult(b, mult(a, c)))))) | (mult(mult(mult(a, a), mult(a, c)), b) = mult(mult(a, a), mult(b, mult(a, c))))),
% 4.70/4.90 inference(tautology,[status(thm)],[])).
% 4.70/4.90 tff(5592,plain,
% 4.70/4.90 (mult(mult(mult(a, a), mult(a, c)), b) = mult(mult(a, a), mult(b, mult(a, c)))),
% 4.70/4.90 inference(unit_resolution,[status(thm)],[5591, 5590])).
% 4.70/4.90 tff(5593,plain,
% 4.70/4.90 (mult(a, mult(a, mult(a, c))) = mult(mult(a, a), mult(a, c))),
% 4.70/4.90 inference(symmetry,[status(thm)],[5544])).
% 4.70/4.90 tff(5594,plain,
% 4.70/4.90 (mult(mult(a, mult(a, mult(a, c))), b) = mult(mult(mult(a, a), mult(a, c)), b)),
% 4.70/4.90 inference(monotonicity,[status(thm)],[5593])).
% 4.70/4.90 tff(5595,plain,
% 4.70/4.90 (mult(mult(a, mult(a, mult(a, c))), b) = mult(mult(a, a), mult(a, mult(c, b)))),
% 4.70/4.90 inference(transitivity,[status(thm)],[5594, 5592, 5572, 5571])).
% 4.70/4.90 tff(5596,plain,
% 4.70/4.90 ((mult(mult(a, mult(a, mult(a, c))), b) = mult(a, mult(b, mult(a, mult(a, c))))) <=> (mult(mult(a, a), mult(a, mult(c, b))) = mult(a, mult(mult(a, mult(c, b)), a)))),
% 4.70/4.90 inference(monotonicity,[status(thm)],[5595, 5570])).
% 4.70/4.90 tff(5597,plain,
% 4.70/4.90 ((mult(mult(a, a), mult(a, mult(c, b))) = mult(a, mult(mult(a, mult(c, b)), a))) <=> (mult(mult(a, mult(a, mult(a, c))), b) = mult(a, mult(b, mult(a, mult(a, c)))))),
% 4.70/4.90 inference(symmetry,[status(thm)],[5596])).
% 4.70/4.90 tff(5598,plain,
% 4.70/4.90 ((~(mult(mult(a, a), mult(a, mult(c, b))) = mult(a, mult(mult(a, mult(c, b)), a)))) <=> (~(mult(mult(a, mult(a, mult(a, c))), b) = mult(a, mult(b, mult(a, mult(a, c))))))),
% 4.70/4.90 inference(monotonicity,[status(thm)],[5597])).
% 4.70/4.90 tff(5599,plain,
% 4.70/4.90 (~(mult(mult(a, mult(a, mult(a, c))), b) = mult(a, mult(b, mult(a, mult(a, c)))))),
% 4.70/4.90 inference(modus_ponens,[status(thm)],[5545, 5598])).
% 4.70/4.90 tff(5600,plain,
% 4.70/4.90 (((~(mult(mult(a, b), mult(a, mult(a, c))) = mult(a, mult(mult(a, mult(a, c)), b)))) | (~(mult(mult(a, mult(a, mult(a, c))), b) = mult(a, mult(b, mult(a, mult(a, c))))))) | (mult(mult(a, mult(a, mult(a, c))), b) = mult(a, mult(b, mult(a, mult(a, c)))))),
% 4.70/4.90 inference(tautology,[status(thm)],[])).
% 4.70/4.90 tff(5601,plain,
% 4.70/4.90 ((~(mult(mult(a, b), mult(a, mult(a, c))) = mult(a, mult(mult(a, mult(a, c)), b)))) | (~(mult(mult(a, mult(a, mult(a, c))), b) = mult(a, mult(b, mult(a, mult(a, c))))))),
% 4.70/4.90 inference(unit_resolution,[status(thm)],[5600, 5599])).
% 4.70/4.90 tff(5602,plain,
% 4.70/4.90 (((~![X0: $i, X1: $i, X2: $i] : ((~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X2, X1)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X1, X2)))))) | (~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X1, X2)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X2, X1)))))))) | ((~((~(mult(mult(a, b), mult(a, mult(a, c))) = mult(a, mult(mult(a, mult(a, c)), b)))) | (~(mult(mult(a, mult(a, mult(a, c))), b) = mult(a, mult(b, mult(a, mult(a, c)))))))) | (~((~(mult(mult(a, b), mult(a, mult(a, c))) = mult(a, mult(b, mult(a, mult(a, c)))))) | (~(mult(mult(a, mult(a, mult(a, c))), b) = mult(a, mult(mult(a, mult(a, c)), b)))))))) <=> ((~![X0: $i, X1: $i, X2: $i] : ((~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X2, X1)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X1, X2)))))) | (~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X1, X2)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X2, X1)))))))) | (~((~(mult(mult(a, b), mult(a, mult(a, c))) = mult(a, mult(mult(a, mult(a, c)), b)))) | (~(mult(mult(a, mult(a, mult(a, c))), b) = mult(a, mult(b, mult(a, mult(a, c)))))))) | (~((~(mult(mult(a, b), mult(a, mult(a, c))) = mult(a, mult(b, mult(a, mult(a, c)))))) | (~(mult(mult(a, mult(a, mult(a, c))), b) = mult(a, mult(mult(a, mult(a, c)), b)))))))),
% 4.70/4.90 inference(rewrite,[status(thm)],[])).
% 4.70/4.90 tff(5603,plain,
% 4.70/4.90 ((~![X0: $i, X1: $i, X2: $i] : ((~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X2, X1)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X1, X2)))))) | (~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X1, X2)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X2, X1)))))))) | ((~((~(mult(mult(a, b), mult(a, mult(a, c))) = mult(a, mult(mult(a, mult(a, c)), b)))) | (~(mult(mult(a, mult(a, mult(a, c))), b) = mult(a, mult(b, mult(a, mult(a, c)))))))) | (~((~(mult(mult(a, b), mult(a, mult(a, c))) = mult(a, mult(b, mult(a, mult(a, c)))))) | (~(mult(mult(a, mult(a, mult(a, c))), b) = mult(a, mult(mult(a, mult(a, c)), b)))))))),
% 4.70/4.90 inference(quant_inst,[status(thm)],[])).
% 4.70/4.90 tff(5604,plain,
% 4.70/4.90 ((~![X0: $i, X1: $i, X2: $i] : ((~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X2, X1)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X1, X2)))))) | (~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X1, X2)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X2, X1)))))))) | (~((~(mult(mult(a, b), mult(a, mult(a, c))) = mult(a, mult(mult(a, mult(a, c)), b)))) | (~(mult(mult(a, mult(a, mult(a, c))), b) = mult(a, mult(b, mult(a, mult(a, c)))))))) | (~((~(mult(mult(a, b), mult(a, mult(a, c))) = mult(a, mult(b, mult(a, mult(a, c)))))) | (~(mult(mult(a, mult(a, mult(a, c))), b) = mult(a, mult(mult(a, mult(a, c)), b))))))),
% 4.70/4.90 inference(modus_ponens,[status(thm)],[5603, 5602])).
% 4.70/4.90 tff(5605,plain,
% 4.70/4.90 ((~((~(mult(mult(a, b), mult(a, mult(a, c))) = mult(a, mult(mult(a, mult(a, c)), b)))) | (~(mult(mult(a, mult(a, mult(a, c))), b) = mult(a, mult(b, mult(a, mult(a, c)))))))) | (~((~(mult(mult(a, b), mult(a, mult(a, c))) = mult(a, mult(b, mult(a, mult(a, c)))))) | (~(mult(mult(a, mult(a, mult(a, c))), b) = mult(a, mult(mult(a, mult(a, c)), b))))))),
% 4.70/4.90 inference(unit_resolution,[status(thm)],[5604, 30])).
% 4.70/4.90 tff(5606,plain,
% 4.70/4.90 (~((~(mult(mult(a, b), mult(a, mult(a, c))) = mult(a, mult(b, mult(a, mult(a, c)))))) | (~(mult(mult(a, mult(a, mult(a, c))), b) = mult(a, mult(mult(a, mult(a, c)), b)))))),
% 4.70/4.90 inference(unit_resolution,[status(thm)],[5605, 5601])).
% 4.70/4.90 tff(5607,plain,
% 4.70/4.90 (((~(mult(mult(a, b), mult(a, mult(a, c))) = mult(a, mult(b, mult(a, mult(a, c)))))) | (~(mult(mult(a, mult(a, mult(a, c))), b) = mult(a, mult(mult(a, mult(a, c)), b))))) | (mult(mult(a, b), mult(a, mult(a, c))) = mult(a, mult(b, mult(a, mult(a, c)))))),
% 4.70/4.90 inference(tautology,[status(thm)],[])).
% 4.70/4.90 tff(5608,plain,
% 4.70/4.90 (mult(mult(a, b), mult(a, mult(a, c))) = mult(a, mult(b, mult(a, mult(a, c))))),
% 4.70/4.90 inference(unit_resolution,[status(thm)],[5607, 5606])).
% 4.70/4.90 tff(5609,assumption,(mult(mult(mult(a, b), a), mult(a, c)) = mult(mult(a, b), mult(a, mult(a, c)))), introduced(assumption)).
% 4.70/4.90 tff(5610,plain,
% 4.70/4.90 (mult(mult(mult(a, b), a), mult(a, c)) = mult(mult(mult(a, a), b), mult(a, c))),
% 4.70/4.90 inference(transitivity,[status(thm)],[5609, 5608, 5570, 5565, 5562, 5531])).
% 4.70/4.90 tff(5611,plain,
% 4.70/4.90 (rd(mult(mult(mult(a, b), a), mult(a, c)), mult(a, c)) = rd(mult(mult(mult(a, a), b), mult(a, c)), mult(a, c))),
% 4.70/4.90 inference(monotonicity,[status(thm)],[5610])).
% 4.70/4.90 tff(5612,plain,
% 4.70/4.90 ((~![B: $i, A: $i] : (rd(mult(A, B), B) = A)) | (rd(mult(mult(mult(a, b), a), mult(a, c)), mult(a, c)) = mult(mult(a, b), a))),
% 4.70/4.90 inference(quant_inst,[status(thm)],[])).
% 4.70/4.90 tff(5613,plain,
% 4.70/4.90 (rd(mult(mult(mult(a, b), a), mult(a, c)), mult(a, c)) = mult(mult(a, b), a)),
% 4.70/4.90 inference(unit_resolution,[status(thm)],[5612, 72])).
% 4.70/4.90 tff(5614,plain,
% 4.70/4.90 (mult(mult(a, b), a) = rd(mult(mult(mult(a, b), a), mult(a, c)), mult(a, c))),
% 4.70/4.90 inference(symmetry,[status(thm)],[5613])).
% 4.70/4.90 tff(5615,plain,
% 4.70/4.90 (mult(mult(a, b), a) = mult(mult(a, a), b)),
% 4.70/4.90 inference(transitivity,[status(thm)],[5614, 5611, 5560])).
% 4.70/4.90 tff(5616,plain,
% 4.70/4.90 (mult(mult(mult(a, b), a), c) = mult(mult(mult(a, a), b), c)),
% 4.70/4.90 inference(monotonicity,[status(thm)],[5615])).
% 4.70/4.90 tff(5617,plain,
% 4.70/4.90 (mult(mult(mult(a, b), a), c) = mult(mult(a, b), mult(a, c))),
% 4.70/4.90 inference(transitivity,[status(thm)],[5616, 5347, 269, 1414, 708, 108, 168])).
% 4.70/4.90 tff(5618,plain,
% 4.70/4.90 ($false),
% 4.70/4.90 inference(unit_resolution,[status(thm)],[2880, 5617])).
% 4.70/4.90 tff(5619,plain,((~(mult(mult(a, mult(a, b)), mult(a, c)) = mult(a, mult(mult(a, b), mult(a, c))))) | (mult(mult(mult(a, b), a), c) = mult(mult(a, b), mult(a, c))) | (~(mult(mult(a, mult(a, b)), c) = mult(a, mult(c, mult(a, b))))) | (~(mult(mult(a, mult(c, b)), a) = mult(a, mult(mult(c, b), a)))) | (~(mult(mult(mult(a, b), c), a) = mult(mult(a, b), mult(a, c)))) | (~(mult(mult(a, b), c) = mult(a, mult(c, b)))) | (~(mult(mult(c, b), a) = mult(c, mult(a, b)))) | (~(mult(mult(mult(a, b), a), mult(a, c)) = mult(mult(a, b), mult(a, mult(a, c))))) | (~(mult(mult(a, mult(b, c)), a) = mult(a, mult(mult(b, c), a)))) | (~(mult(mult(a, c), mult(a, b)) = mult(a, mult(mult(a, b), c)))) | (~(mult(mult(mult(a, c), b), a) = mult(mult(a, c), mult(a, b)))) | (~(mult(mult(a, c), b) = mult(a, mult(b, c)))) | (mult(mult(a, a), mult(a, mult(c, b))) = mult(a, mult(mult(a, mult(c, b)), a))) | (~(mult(mult(a, a), mult(a, c)) = mult(a, mult(a, mult(a, c))))) | (~(mult(mult(a, a), mult(a, mult(c, b))) = mult(a, mult(a, mult(a, mult(c, b))))))), inference(lemma,lemma(discharge,[]))).
% 4.70/4.90 tff(5620,plain,
% 4.70/4.90 (~(mult(mult(a, mult(a, b)), mult(a, c)) = mult(a, mult(mult(a, b), mult(a, c))))),
% 4.70/4.90 inference(unit_resolution,[status(thm)],[5619, 5558, 269, 707, 168, 106, 1110, 2880, 510, 593, 594, 117, 5545, 5544, 5509])).
% 4.70/4.90 tff(5621,plain,
% 4.70/4.90 (((~(mult(mult(a, mult(a, b)), mult(a, c)) = mult(a, mult(mult(a, b), mult(a, c))))) | (~(mult(mult(a, mult(a, c)), mult(a, b)) = mult(a, mult(mult(a, c), mult(a, b)))))) | (mult(mult(a, mult(a, b)), mult(a, c)) = mult(a, mult(mult(a, b), mult(a, c))))),
% 4.70/4.90 inference(tautology,[status(thm)],[])).
% 4.70/4.90 tff(5622,plain,
% 4.70/4.90 ((~(mult(mult(a, mult(a, b)), mult(a, c)) = mult(a, mult(mult(a, b), mult(a, c))))) | (~(mult(mult(a, mult(a, c)), mult(a, b)) = mult(a, mult(mult(a, c), mult(a, b)))))),
% 4.70/4.90 inference(unit_resolution,[status(thm)],[5621, 5620])).
% 4.70/4.90 tff(5623,plain,
% 4.70/4.90 (((~![X0: $i, X1: $i, X2: $i] : ((~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X2, X1)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X1, X2)))))) | (~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X1, X2)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X2, X1)))))))) | ((~((~(mult(mult(a, mult(a, b)), mult(a, c)) = mult(a, mult(mult(a, c), mult(a, b))))) | (~(mult(mult(a, mult(a, c)), mult(a, b)) = mult(a, mult(mult(a, b), mult(a, c))))))) | (~((~(mult(mult(a, mult(a, b)), mult(a, c)) = mult(a, mult(mult(a, b), mult(a, c))))) | (~(mult(mult(a, mult(a, c)), mult(a, b)) = mult(a, mult(mult(a, c), mult(a, b))))))))) <=> ((~![X0: $i, X1: $i, X2: $i] : ((~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X2, X1)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X1, X2)))))) | (~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X1, X2)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X2, X1)))))))) | (~((~(mult(mult(a, mult(a, b)), mult(a, c)) = mult(a, mult(mult(a, c), mult(a, b))))) | (~(mult(mult(a, mult(a, c)), mult(a, b)) = mult(a, mult(mult(a, b), mult(a, c))))))) | (~((~(mult(mult(a, mult(a, b)), mult(a, c)) = mult(a, mult(mult(a, b), mult(a, c))))) | (~(mult(mult(a, mult(a, c)), mult(a, b)) = mult(a, mult(mult(a, c), mult(a, b))))))))),
% 4.70/4.90 inference(rewrite,[status(thm)],[])).
% 4.70/4.90 tff(5624,plain,
% 4.70/4.90 ((~![X0: $i, X1: $i, X2: $i] : ((~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X2, X1)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X1, X2)))))) | (~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X1, X2)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X2, X1)))))))) | ((~((~(mult(mult(a, mult(a, b)), mult(a, c)) = mult(a, mult(mult(a, c), mult(a, b))))) | (~(mult(mult(a, mult(a, c)), mult(a, b)) = mult(a, mult(mult(a, b), mult(a, c))))))) | (~((~(mult(mult(a, mult(a, b)), mult(a, c)) = mult(a, mult(mult(a, b), mult(a, c))))) | (~(mult(mult(a, mult(a, c)), mult(a, b)) = mult(a, mult(mult(a, c), mult(a, b))))))))),
% 4.70/4.90 inference(quant_inst,[status(thm)],[])).
% 4.70/4.90 tff(5625,plain,
% 4.70/4.90 ((~![X0: $i, X1: $i, X2: $i] : ((~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X2, X1)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X1, X2)))))) | (~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X1, X2)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X2, X1)))))))) | (~((~(mult(mult(a, mult(a, b)), mult(a, c)) = mult(a, mult(mult(a, c), mult(a, b))))) | (~(mult(mult(a, mult(a, c)), mult(a, b)) = mult(a, mult(mult(a, b), mult(a, c))))))) | (~((~(mult(mult(a, mult(a, b)), mult(a, c)) = mult(a, mult(mult(a, b), mult(a, c))))) | (~(mult(mult(a, mult(a, c)), mult(a, b)) = mult(a, mult(mult(a, c), mult(a, b)))))))),
% 4.70/4.90 inference(modus_ponens,[status(thm)],[5624, 5623])).
% 4.70/4.90 tff(5626,plain,
% 4.70/4.90 ((~((~(mult(mult(a, mult(a, b)), mult(a, c)) = mult(a, mult(mult(a, c), mult(a, b))))) | (~(mult(mult(a, mult(a, c)), mult(a, b)) = mult(a, mult(mult(a, b), mult(a, c))))))) | (~((~(mult(mult(a, mult(a, b)), mult(a, c)) = mult(a, mult(mult(a, b), mult(a, c))))) | (~(mult(mult(a, mult(a, c)), mult(a, b)) = mult(a, mult(mult(a, c), mult(a, b)))))))),
% 4.70/4.90 inference(unit_resolution,[status(thm)],[5625, 30])).
% 4.70/4.90 tff(5627,plain,
% 4.70/4.90 (~((~(mult(mult(a, mult(a, b)), mult(a, c)) = mult(a, mult(mult(a, c), mult(a, b))))) | (~(mult(mult(a, mult(a, c)), mult(a, b)) = mult(a, mult(mult(a, b), mult(a, c))))))),
% 4.70/4.90 inference(unit_resolution,[status(thm)],[5626, 5622])).
% 4.70/4.90 tff(5628,plain,
% 4.70/4.90 (((~(mult(mult(a, mult(a, b)), mult(a, c)) = mult(a, mult(mult(a, c), mult(a, b))))) | (~(mult(mult(a, mult(a, c)), mult(a, b)) = mult(a, mult(mult(a, b), mult(a, c)))))) | (mult(mult(a, mult(a, b)), mult(a, c)) = mult(a, mult(mult(a, c), mult(a, b))))),
% 4.70/4.90 inference(tautology,[status(thm)],[])).
% 4.70/4.90 tff(5629,plain,
% 4.70/4.90 (mult(mult(a, mult(a, b)), mult(a, c)) = mult(a, mult(mult(a, c), mult(a, b)))),
% 4.70/4.90 inference(unit_resolution,[status(thm)],[5628, 5627])).
% 4.70/4.90 tff(5630,plain,
% 4.70/4.90 (mult(mult(mult(a, mult(a, b)), c), a) = mult(mult(a, mult(a, b)), mult(a, c))),
% 4.70/4.90 inference(modus_ponens,[status(thm)],[5629, 5543])).
% 4.70/4.90 tff(5631,plain,
% 4.70/4.90 (mult(mult(mult(a, a), b), mult(a, c)) = mult(mult(a, mult(a, b)), mult(a, c))),
% 4.70/4.90 inference(monotonicity,[status(thm)],[448])).
% 4.70/4.90 tff(5632,plain,
% 4.70/4.90 (mult(mult(a, mult(a, b)), mult(a, c)) = mult(mult(mult(a, a), b), mult(a, c))),
% 4.70/4.90 inference(symmetry,[status(thm)],[5631])).
% 4.70/4.90 tff(5633,assumption,(mult(mult(mult(a, mult(a, b)), c), a) = mult(mult(a, mult(a, b)), mult(a, c))), introduced(assumption)).
% 4.70/4.90 tff(5634,plain,
% 4.70/4.90 (mult(mult(mult(a, a), b), c) = mult(mult(a, mult(a, b)), c)),
% 4.70/4.90 inference(symmetry,[status(thm)],[450])).
% 4.70/4.90 tff(5635,plain,
% 4.70/4.90 (mult(mult(a, a), mult(b, c)) = mult(mult(a, mult(a, b)), c)),
% 4.70/4.90 inference(transitivity,[status(thm)],[2901, 5634])).
% 4.70/4.90 tff(5636,plain,
% 4.70/4.90 (mult(mult(mult(a, a), mult(b, c)), a) = mult(mult(mult(a, mult(a, b)), c), a)),
% 4.70/4.90 inference(monotonicity,[status(thm)],[5635])).
% 4.70/4.90 tff(5637,plain,
% 4.70/4.90 (mult(a, mult(mult(a, mult(b, c)), a)) = mult(mult(mult(a, a), mult(b, c)), a)),
% 4.70/4.90 inference(symmetry,[status(thm)],[5500])).
% 4.70/4.90 tff(5638,plain,
% 4.70/4.90 (mult(a, mult(a, mult(mult(b, c), a))) = mult(a, mult(mult(a, mult(b, c)), a))),
% 4.70/4.90 inference(monotonicity,[status(thm)],[1424])).
% 4.70/4.90 tff(5639,assumption,(mult(mult(a, a), mult(mult(b, c), a)) = mult(a, mult(a, mult(mult(b, c), a)))), introduced(assumption)).
% 4.70/4.90 tff(5640,plain,
% 4.70/4.90 (mult(mult(a, a), mult(b, mult(a, c))) = mult(mult(a, a), mult(mult(b, c), a))),
% 4.70/4.90 inference(monotonicity,[status(thm)],[5021])).
% 4.70/4.90 tff(5641,assumption,(~(mult(mult(mult(a, a), mult(a, c)), b) = mult(mult(a, a), mult(mult(a, c), b)))), introduced(assumption)).
% 4.70/4.90 tff(5642,plain,
% 4.70/4.90 (((~(mult(mult(mult(a, a), b), mult(a, c)) = mult(mult(a, a), mult(b, mult(a, c))))) | (~(mult(mult(mult(a, a), mult(a, c)), b) = mult(mult(a, a), mult(mult(a, c), b))))) | (mult(mult(mult(a, a), mult(a, c)), b) = mult(mult(a, a), mult(mult(a, c), b)))),
% 4.70/4.90 inference(tautology,[status(thm)],[])).
% 4.70/4.90 tff(5643,plain,
% 4.70/4.90 ((~(mult(mult(mult(a, a), b), mult(a, c)) = mult(mult(a, a), mult(b, mult(a, c))))) | (~(mult(mult(mult(a, a), mult(a, c)), b) = mult(mult(a, a), mult(mult(a, c), b))))),
% 4.70/4.90 inference(unit_resolution,[status(thm)],[5642, 5641])).
% 4.70/4.90 tff(5644,plain,
% 4.70/4.90 (((~((~(mult(mult(mult(a, a), b), mult(a, c)) = mult(mult(a, a), mult(mult(a, c), b)))) | (~(mult(mult(mult(a, a), mult(a, c)), b) = mult(mult(a, a), mult(b, mult(a, c))))))) | (~((~(mult(mult(mult(a, a), b), mult(a, c)) = mult(mult(a, a), mult(b, mult(a, c))))) | (~(mult(mult(mult(a, a), mult(a, c)), b) = mult(mult(a, a), mult(mult(a, c), b))))))) <=> ((~((~(mult(mult(mult(a, a), b), mult(a, c)) = mult(mult(a, a), mult(mult(a, c), b)))) | (~(mult(mult(mult(a, a), mult(a, c)), b) = mult(mult(a, a), mult(b, mult(a, c))))))) | (~((~(mult(mult(mult(a, a), b), mult(a, c)) = mult(mult(a, a), mult(b, mult(a, c))))) | (~(mult(mult(mult(a, a), mult(a, c)), b) = mult(mult(a, a), mult(mult(a, c), b)))))))),
% 4.70/4.91 inference(rewrite,[status(thm)],[])).
% 4.70/4.91 tff(5645,plain,
% 4.70/4.91 ((~((~(mult(mult(mult(a, a), mult(a, c)), b) = mult(mult(a, a), mult(mult(a, c), b)))) | (~(mult(mult(mult(a, a), b), mult(a, c)) = mult(mult(a, a), mult(b, mult(a, c))))))) <=> (~((~(mult(mult(mult(a, a), b), mult(a, c)) = mult(mult(a, a), mult(b, mult(a, c))))) | (~(mult(mult(mult(a, a), mult(a, c)), b) = mult(mult(a, a), mult(mult(a, c), b))))))),
% 4.70/4.91 inference(rewrite,[status(thm)],[])).
% 4.70/4.91 tff(5646,plain,
% 4.70/4.91 ((~((~(mult(mult(mult(a, a), mult(a, c)), b) = mult(mult(a, a), mult(b, mult(a, c))))) | (~(mult(mult(mult(a, a), b), mult(a, c)) = mult(mult(a, a), mult(mult(a, c), b)))))) <=> (~((~(mult(mult(mult(a, a), b), mult(a, c)) = mult(mult(a, a), mult(mult(a, c), b)))) | (~(mult(mult(mult(a, a), mult(a, c)), b) = mult(mult(a, a), mult(b, mult(a, c)))))))),
% 4.70/4.91 inference(rewrite,[status(thm)],[])).
% 4.70/4.91 tff(5647,plain,
% 4.70/4.91 (((~((~(mult(mult(mult(a, a), mult(a, c)), b) = mult(mult(a, a), mult(b, mult(a, c))))) | (~(mult(mult(mult(a, a), b), mult(a, c)) = mult(mult(a, a), mult(mult(a, c), b)))))) | (~((~(mult(mult(mult(a, a), mult(a, c)), b) = mult(mult(a, a), mult(mult(a, c), b)))) | (~(mult(mult(mult(a, a), b), mult(a, c)) = mult(mult(a, a), mult(b, mult(a, c)))))))) <=> ((~((~(mult(mult(mult(a, a), b), mult(a, c)) = mult(mult(a, a), mult(mult(a, c), b)))) | (~(mult(mult(mult(a, a), mult(a, c)), b) = mult(mult(a, a), mult(b, mult(a, c))))))) | (~((~(mult(mult(mult(a, a), b), mult(a, c)) = mult(mult(a, a), mult(b, mult(a, c))))) | (~(mult(mult(mult(a, a), mult(a, c)), b) = mult(mult(a, a), mult(mult(a, c), b)))))))),
% 4.70/4.91 inference(monotonicity,[status(thm)],[5646, 5645])).
% 4.70/4.91 tff(5648,plain,
% 4.70/4.91 (((~((~(mult(mult(mult(a, a), mult(a, c)), b) = mult(mult(a, a), mult(b, mult(a, c))))) | (~(mult(mult(mult(a, a), b), mult(a, c)) = mult(mult(a, a), mult(mult(a, c), b)))))) | (~((~(mult(mult(mult(a, a), mult(a, c)), b) = mult(mult(a, a), mult(mult(a, c), b)))) | (~(mult(mult(mult(a, a), b), mult(a, c)) = mult(mult(a, a), mult(b, mult(a, c)))))))) <=> ((~((~(mult(mult(mult(a, a), b), mult(a, c)) = mult(mult(a, a), mult(mult(a, c), b)))) | (~(mult(mult(mult(a, a), mult(a, c)), b) = mult(mult(a, a), mult(b, mult(a, c))))))) | (~((~(mult(mult(mult(a, a), b), mult(a, c)) = mult(mult(a, a), mult(b, mult(a, c))))) | (~(mult(mult(mult(a, a), mult(a, c)), b) = mult(mult(a, a), mult(mult(a, c), b)))))))),
% 4.70/4.91 inference(transitivity,[status(thm)],[5647, 5644])).
% 4.70/4.91 tff(5649,plain,
% 4.70/4.91 (((~![X0: $i, X1: $i, X2: $i] : ((~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X2, X1)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X1, X2)))))) | (~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X1, X2)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X2, X1)))))))) | ((~((~(mult(mult(mult(a, a), mult(a, c)), b) = mult(mult(a, a), mult(b, mult(a, c))))) | (~(mult(mult(mult(a, a), b), mult(a, c)) = mult(mult(a, a), mult(mult(a, c), b)))))) | (~((~(mult(mult(mult(a, a), mult(a, c)), b) = mult(mult(a, a), mult(mult(a, c), b)))) | (~(mult(mult(mult(a, a), b), mult(a, c)) = mult(mult(a, a), mult(b, mult(a, c))))))))) <=> ((~![X0: $i, X1: $i, X2: $i] : ((~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X2, X1)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X1, X2)))))) | (~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X1, X2)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X2, X1)))))))) | ((~((~(mult(mult(mult(a, a), b), mult(a, c)) = mult(mult(a, a), mult(mult(a, c), b)))) | (~(mult(mult(mult(a, a), mult(a, c)), b) = mult(mult(a, a), mult(b, mult(a, c))))))) | (~((~(mult(mult(mult(a, a), b), mult(a, c)) = mult(mult(a, a), mult(b, mult(a, c))))) | (~(mult(mult(mult(a, a), mult(a, c)), b) = mult(mult(a, a), mult(mult(a, c), b))))))))),
% 4.70/4.91 inference(monotonicity,[status(thm)],[5648])).
% 4.70/4.91 tff(5650,plain,
% 4.70/4.91 (((~![X0: $i, X1: $i, X2: $i] : ((~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X2, X1)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X1, X2)))))) | (~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X1, X2)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X2, X1)))))))) | ((~((~(mult(mult(mult(a, a), mult(a, c)), b) = mult(mult(a, a), mult(b, mult(a, c))))) | (~(mult(mult(mult(a, a), b), mult(a, c)) = mult(mult(a, a), mult(mult(a, c), b)))))) | (~((~(mult(mult(mult(a, a), mult(a, c)), b) = mult(mult(a, a), mult(mult(a, c), b)))) | (~(mult(mult(mult(a, a), b), mult(a, c)) = mult(mult(a, a), mult(b, mult(a, c))))))))) <=> ((~![X0: $i, X1: $i, X2: $i] : ((~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X2, X1)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X1, X2)))))) | (~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X1, X2)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X2, X1)))))))) | (~((~(mult(mult(mult(a, a), b), mult(a, c)) = mult(mult(a, a), mult(mult(a, c), b)))) | (~(mult(mult(mult(a, a), mult(a, c)), b) = mult(mult(a, a), mult(b, mult(a, c))))))) | (~((~(mult(mult(mult(a, a), b), mult(a, c)) = mult(mult(a, a), mult(b, mult(a, c))))) | (~(mult(mult(mult(a, a), mult(a, c)), b) = mult(mult(a, a), mult(mult(a, c), b)))))))),
% 4.70/4.91 inference(transitivity,[status(thm)],[5649, 5586])).
% 4.70/4.91 tff(5651,plain,
% 4.70/4.91 ((~![X0: $i, X1: $i, X2: $i] : ((~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X2, X1)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X1, X2)))))) | (~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X1, X2)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X2, X1)))))))) | ((~((~(mult(mult(mult(a, a), mult(a, c)), b) = mult(mult(a, a), mult(b, mult(a, c))))) | (~(mult(mult(mult(a, a), b), mult(a, c)) = mult(mult(a, a), mult(mult(a, c), b)))))) | (~((~(mult(mult(mult(a, a), mult(a, c)), b) = mult(mult(a, a), mult(mult(a, c), b)))) | (~(mult(mult(mult(a, a), b), mult(a, c)) = mult(mult(a, a), mult(b, mult(a, c))))))))),
% 4.70/4.91 inference(quant_inst,[status(thm)],[])).
% 4.70/4.91 tff(5652,plain,
% 4.70/4.91 ((~![X0: $i, X1: $i, X2: $i] : ((~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X2, X1)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X1, X2)))))) | (~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X1, X2)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X2, X1)))))))) | (~((~(mult(mult(mult(a, a), b), mult(a, c)) = mult(mult(a, a), mult(mult(a, c), b)))) | (~(mult(mult(mult(a, a), mult(a, c)), b) = mult(mult(a, a), mult(b, mult(a, c))))))) | (~((~(mult(mult(mult(a, a), b), mult(a, c)) = mult(mult(a, a), mult(b, mult(a, c))))) | (~(mult(mult(mult(a, a), mult(a, c)), b) = mult(mult(a, a), mult(mult(a, c), b))))))),
% 4.70/4.91 inference(modus_ponens,[status(thm)],[5651, 5650])).
% 4.70/4.91 tff(5653,plain,
% 4.70/4.91 ((~((~(mult(mult(mult(a, a), b), mult(a, c)) = mult(mult(a, a), mult(mult(a, c), b)))) | (~(mult(mult(mult(a, a), mult(a, c)), b) = mult(mult(a, a), mult(b, mult(a, c))))))) | (~((~(mult(mult(mult(a, a), b), mult(a, c)) = mult(mult(a, a), mult(b, mult(a, c))))) | (~(mult(mult(mult(a, a), mult(a, c)), b) = mult(mult(a, a), mult(mult(a, c), b))))))),
% 4.70/4.91 inference(unit_resolution,[status(thm)],[5652, 30])).
% 4.70/4.91 tff(5654,plain,
% 4.70/4.91 (~((~(mult(mult(mult(a, a), b), mult(a, c)) = mult(mult(a, a), mult(mult(a, c), b)))) | (~(mult(mult(mult(a, a), mult(a, c)), b) = mult(mult(a, a), mult(b, mult(a, c))))))),
% 4.70/4.91 inference(unit_resolution,[status(thm)],[5653, 5643])).
% 4.70/4.91 tff(5655,plain,
% 4.70/4.91 (mult(mult(mult(a, a), mult(a, c)), b) = mult(mult(a, a), mult(b, mult(a, c)))),
% 4.70/4.91 inference(unit_resolution,[status(thm)],[5591, 5654])).
% 4.70/4.91 tff(5656,plain,
% 4.70/4.91 (mult(mult(mult(a, a), mult(a, c)), b) = mult(mult(mult(a, a), b), mult(a, c))),
% 4.70/4.91 inference(transitivity,[status(thm)],[5655, 5640, 5639, 5638, 5637, 5636, 5633, 5632])).
% 4.70/4.91 tff(5657,plain,
% 4.70/4.91 ((mult(mult(mult(a, a), mult(a, c)), b) = mult(mult(a, a), mult(mult(a, c), b))) <=> (mult(mult(mult(a, a), b), mult(a, c)) = mult(mult(a, a), mult(mult(a, c), b)))),
% 4.70/4.91 inference(monotonicity,[status(thm)],[5656])).
% 4.70/4.91 tff(5658,plain,
% 4.70/4.91 ((mult(mult(mult(a, a), b), mult(a, c)) = mult(mult(a, a), mult(mult(a, c), b))) <=> (mult(mult(mult(a, a), mult(a, c)), b) = mult(mult(a, a), mult(mult(a, c), b)))),
% 4.70/4.91 inference(symmetry,[status(thm)],[5657])).
% 4.70/4.91 tff(5659,plain,
% 4.70/4.91 (((~(mult(mult(mult(a, a), b), mult(a, c)) = mult(mult(a, a), mult(mult(a, c), b)))) | (~(mult(mult(mult(a, a), mult(a, c)), b) = mult(mult(a, a), mult(b, mult(a, c)))))) | (mult(mult(mult(a, a), b), mult(a, c)) = mult(mult(a, a), mult(mult(a, c), b)))),
% 4.70/4.91 inference(tautology,[status(thm)],[])).
% 4.70/4.91 tff(5660,plain,
% 4.70/4.91 (mult(mult(mult(a, a), b), mult(a, c)) = mult(mult(a, a), mult(mult(a, c), b))),
% 4.70/4.91 inference(unit_resolution,[status(thm)],[5659, 5654])).
% 4.70/4.91 tff(5661,plain,
% 4.70/4.91 (mult(mult(mult(a, a), mult(a, c)), b) = mult(mult(a, a), mult(mult(a, c), b))),
% 4.70/4.91 inference(modus_ponens,[status(thm)],[5660, 5658])).
% 4.70/4.91 tff(5662,plain,
% 4.70/4.91 ($false),
% 4.70/4.91 inference(unit_resolution,[status(thm)],[5641, 5661])).
% 4.70/4.91 tff(5663,plain,((mult(mult(mult(a, a), mult(a, c)), b) = mult(mult(a, a), mult(mult(a, c), b))) | (~(mult(mult(a, a), mult(mult(b, c), a)) = mult(a, mult(a, mult(mult(b, c), a))))) | (~(mult(mult(mult(a, mult(a, b)), c), a) = mult(mult(a, mult(a, b)), mult(a, c)))) | (~(mult(mult(mult(a, a), b), c) = mult(mult(a, a), mult(b, c)))) | (~(mult(mult(a, mult(b, c)), a) = mult(a, mult(mult(b, c), a)))) | (~(mult(mult(b, c), a) = mult(b, mult(a, c)))) | (~(mult(mult(a, a), b) = mult(a, mult(a, b))))), inference(lemma,lemma(discharge,[]))).
% 4.70/4.91 tff(5664,plain,
% 4.70/4.91 ((mult(mult(mult(a, a), mult(a, c)), b) = mult(mult(a, a), mult(mult(a, c), b))) | (~(mult(mult(a, a), mult(mult(b, c), a)) = mult(a, mult(a, mult(mult(b, c), a))))) | (~(mult(mult(mult(a, mult(a, b)), c), a) = mult(mult(a, mult(a, b)), mult(a, c)))) | (~(mult(mult(mult(a, a), b), c) = mult(mult(a, a), mult(b, c)))) | (~(mult(mult(a, mult(b, c)), a) = mult(a, mult(mult(b, c), a))))),
% 4.70/4.91 inference(unit_resolution,[status(thm)],[5663, 4190, 3433])).
% 4.70/4.91 tff(5665,plain,
% 4.70/4.91 (mult(mult(mult(a, a), mult(a, c)), b) = mult(mult(a, a), mult(mult(a, c), b))),
% 4.70/4.91 inference(unit_resolution,[status(thm)],[5664, 5630, 5529, 510, 5524])).
% 4.70/4.91 tff(5666,plain,
% 4.70/4.91 (mult(mult(a, mult(a, mult(a, c))), b) = mult(a, mult(mult(a, mult(c, b)), a))),
% 4.70/4.91 inference(transitivity,[status(thm)],[5594, 5665, 5518, 5513, 4757])).
% 4.70/4.91 tff(5667,plain,
% 4.70/4.91 ((mult(mult(a, mult(a, mult(a, c))), b) = mult(a, mult(mult(a, mult(a, c)), b))) <=> (mult(a, mult(mult(a, mult(c, b)), a)) = mult(mult(a, a), mult(a, mult(c, b))))),
% 4.70/4.91 inference(monotonicity,[status(thm)],[5666, 5511])).
% 4.70/4.91 tff(5668,plain,
% 4.70/4.91 ((mult(mult(a, mult(a, mult(a, c))), b) = mult(a, mult(mult(a, mult(a, c)), b))) <=> (mult(mult(a, a), mult(a, mult(c, b))) = mult(a, mult(mult(a, mult(c, b)), a)))),
% 4.70/4.91 inference(transitivity,[status(thm)],[5667, 5438])).
% 4.70/4.91 tff(5669,plain,
% 4.70/4.91 ((mult(mult(a, a), mult(a, mult(c, b))) = mult(a, mult(mult(a, mult(c, b)), a))) <=> (mult(mult(a, mult(a, mult(a, c))), b) = mult(a, mult(mult(a, mult(a, c)), b)))),
% 4.70/4.91 inference(symmetry,[status(thm)],[5668])).
% 4.70/4.91 tff(5670,plain,
% 4.70/4.91 ((~(mult(mult(a, a), mult(a, mult(c, b))) = mult(a, mult(mult(a, mult(c, b)), a)))) <=> (~(mult(mult(a, mult(a, mult(a, c))), b) = mult(a, mult(mult(a, mult(a, c)), b))))),
% 4.70/4.91 inference(monotonicity,[status(thm)],[5669])).
% 4.70/4.91 tff(5671,plain,
% 4.70/4.91 (~(mult(mult(a, mult(a, mult(a, c))), b) = mult(a, mult(mult(a, mult(a, c)), b)))),
% 4.70/4.91 inference(modus_ponens,[status(thm)],[5545, 5670])).
% 4.70/4.91 tff(5672,plain,
% 4.70/4.91 (((~(mult(mult(a, b), mult(a, mult(a, c))) = mult(a, mult(b, mult(a, mult(a, c)))))) | (~(mult(mult(a, mult(a, mult(a, c))), b) = mult(a, mult(mult(a, mult(a, c)), b))))) | (mult(mult(a, mult(a, mult(a, c))), b) = mult(a, mult(mult(a, mult(a, c)), b)))),
% 4.70/4.91 inference(tautology,[status(thm)],[])).
% 4.70/4.91 tff(5673,plain,
% 4.70/4.91 ((~(mult(mult(a, b), mult(a, mult(a, c))) = mult(a, mult(b, mult(a, mult(a, c)))))) | (~(mult(mult(a, mult(a, mult(a, c))), b) = mult(a, mult(mult(a, mult(a, c)), b))))),
% 4.70/4.91 inference(unit_resolution,[status(thm)],[5672, 5671])).
% 4.70/4.91 tff(5674,plain,
% 4.70/4.91 (~((~(mult(mult(a, b), mult(a, mult(a, c))) = mult(a, mult(mult(a, mult(a, c)), b)))) | (~(mult(mult(a, mult(a, mult(a, c))), b) = mult(a, mult(b, mult(a, mult(a, c)))))))),
% 4.70/4.91 inference(unit_resolution,[status(thm)],[5605, 5673])).
% 4.70/4.91 tff(5675,plain,
% 4.70/4.91 (((~(mult(mult(a, b), mult(a, mult(a, c))) = mult(a, mult(mult(a, mult(a, c)), b)))) | (~(mult(mult(a, mult(a, mult(a, c))), b) = mult(a, mult(b, mult(a, mult(a, c))))))) | (mult(mult(a, b), mult(a, mult(a, c))) = mult(a, mult(mult(a, mult(a, c)), b)))),
% 4.70/4.91 inference(tautology,[status(thm)],[])).
% 4.70/4.91 tff(5676,plain,
% 4.70/4.91 (mult(mult(a, b), mult(a, mult(a, c))) = mult(a, mult(mult(a, mult(a, c)), b))),
% 4.70/4.91 inference(unit_resolution,[status(thm)],[5675, 5674])).
% 4.70/4.91 tff(5677,plain,
% 4.70/4.91 (mult(mult(mult(a, b), mult(a, c)), a) = mult(mult(a, b), mult(a, mult(a, c)))),
% 4.70/4.91 inference(modus_ponens,[status(thm)],[5676, 5508])).
% 4.70/4.91 tff(5678,plain,
% 4.70/4.91 ($false),
% 4.70/4.91 inference(unit_resolution,[status(thm)],[5546, 5677])).
% 4.70/4.91 tff(5679,plain,((mult(mult(mult(a, b), mult(a, c)), a) = mult(mult(a, b), mult(a, mult(a, c)))) | (~(mult(mult(a, mult(a, c)), b) = mult(a, mult(b, mult(a, c))))) | (~(mult(mult(a, mult(b, c)), a) = mult(a, mult(mult(b, c), a)))) | (~(mult(mult(mult(a, c), b), a) = mult(mult(a, c), mult(a, b)))) | (~(mult(mult(a, c), b) = mult(a, mult(b, c)))) | (~(mult(mult(a, a), mult(b, c)) = mult(a, mult(a, mult(b, c))))) | (~(mult(mult(a, b), mult(a, c)) = mult(a, mult(mult(a, c), b)))) | (~(mult(mult(mult(a, b), c), a) = mult(mult(a, b), mult(a, c)))) | (mult(mult(a, a), mult(a, mult(c, b))) = mult(a, mult(mult(a, mult(c, b)), a))) | (~(mult(mult(a, a), mult(a, mult(c, b))) = mult(a, mult(a, mult(a, mult(c, b)))))) | (~(mult(mult(a, c), mult(a, b)) = mult(a, mult(mult(a, b), c)))) | (~(mult(mult(a, b), c) = mult(a, mult(c, b)))) | (~(mult(mult(mult(a, a), mult(c, b)), a) = mult(mult(a, a), mult(mult(c, b), a)))) | (~(mult(mult(c, b), a) = mult(c, mult(a, b)))) | (~(mult(mult(a, mult(c, b)), a) = mult(a, mult(mult(c, b), a)))) | (~(mult(mult(a, a), mult(a, c)) = mult(a, mult(a, mult(a, c))))) | (~(mult(mult(a, mult(a, b)), c) = mult(a, mult(c, mult(a, b))))) | (mult(mult(mult(a, b), a), c) = mult(mult(a, b), mult(a, c)))), inference(lemma,lemma(discharge,[]))).
% 4.70/4.91 tff(5680,plain,
% 4.70/4.91 (mult(mult(mult(a, b), mult(a, c)), a) = mult(mult(a, b), mult(a, mult(a, c)))),
% 4.70/4.91 inference(unit_resolution,[status(thm)],[5679, 5375, 5309, 971, 97, 5492, 5491, 5305, 5490, 5467, 4654, 91, 5464, 5290, 4821, 5403, 4709, 5344])).
% 4.70/4.91 tff(5681,plain,
% 4.70/4.91 (mult(mult(mult(a, b), mult(a, c)), a) = mult(mult(mult(mult(a, b), c), a), a)),
% 4.70/4.91 inference(monotonicity,[status(thm)],[5360])).
% 4.70/4.91 tff(5682,plain,
% 4.70/4.91 (mult(mult(mult(mult(a, b), c), a), a) = mult(mult(mult(a, b), mult(a, c)), a)),
% 4.70/4.91 inference(symmetry,[status(thm)],[5681])).
% 4.70/4.91 tff(5683,plain,
% 4.70/4.91 (mult(mult(mult(mult(a, b), c), a), a) = mult(mult(a, b), mult(a, mult(a, c)))),
% 4.70/4.91 inference(transitivity,[status(thm)],[5682, 5680])).
% 4.70/4.91 tff(5684,plain,
% 4.70/4.91 (mult(mult(mult(mult(mult(a, b), c), a), a), b) = mult(mult(mult(a, b), mult(a, mult(a, c))), b)),
% 4.70/4.91 inference(monotonicity,[status(thm)],[5683])).
% 4.70/4.91 tff(5685,plain,
% 4.70/4.91 (mult(a, mult(a, mult(b, c))) = mult(mult(a, a), mult(b, c))),
% 4.70/4.91 inference(symmetry,[status(thm)],[5492])).
% 4.70/4.91 tff(5686,plain,
% 4.70/4.91 (mult(a, mult(a, mult(b, c))) = mult(a, mult(mult(a, c), b))),
% 4.70/4.91 inference(monotonicity,[status(thm)],[606])).
% 4.70/4.91 tff(5687,plain,
% 4.70/4.91 (mult(a, mult(mult(a, c), b)) = mult(a, mult(a, mult(b, c)))),
% 4.70/4.91 inference(symmetry,[status(thm)],[5686])).
% 4.70/4.91 tff(5688,plain,
% 4.70/4.91 (mult(mult(mult(a, b), c), a) = mult(mult(a, a), mult(b, c))),
% 4.70/4.91 inference(transitivity,[status(thm)],[5305, 5491, 5687, 5685])).
% 4.70/4.91 tff(5689,plain,
% 4.70/4.91 (mult(mult(mult(mult(a, b), c), a), a) = mult(mult(mult(a, a), mult(b, c)), a)),
% 4.70/4.91 inference(monotonicity,[status(thm)],[5688])).
% 4.70/4.91 tff(5690,plain,
% 4.70/4.91 (mult(mult(mult(a, a), mult(b, c)), a) = mult(mult(mult(mult(a, b), c), a), a)),
% 4.70/4.91 inference(symmetry,[status(thm)],[5689])).
% 4.70/4.91 tff(5691,plain,
% 4.70/4.91 (mult(mult(a, mult(b, c)), a) = mult(mult(a, c), mult(a, b))),
% 4.70/4.91 inference(transitivity,[status(thm)],[607, 971])).
% 4.70/4.91 tff(5692,plain,
% 4.70/4.91 (mult(a, mult(mult(a, mult(b, c)), a)) = mult(a, mult(mult(a, c), mult(a, b)))),
% 4.70/4.91 inference(monotonicity,[status(thm)],[5691])).
% 4.70/4.91 tff(5693,plain,
% 4.70/4.91 (mult(a, mult(mult(a, c), mult(a, b))) = mult(a, mult(mult(a, mult(b, c)), a))),
% 4.70/4.91 inference(symmetry,[status(thm)],[5692])).
% 4.70/4.92 tff(5694,plain,
% 4.70/4.92 (((~(mult(mult(mult(a, a), a), mult(c, b)) = mult(mult(a, a), mult(a, mult(c, b))))) | (~(mult(mult(mult(a, a), mult(c, b)), a) = mult(mult(a, a), mult(mult(c, b), a))))) | (mult(mult(mult(a, a), a), mult(c, b)) = mult(mult(a, a), mult(a, mult(c, b))))),
% 4.70/4.92 inference(tautology,[status(thm)],[])).
% 4.70/4.92 tff(5695,plain,
% 4.70/4.92 (mult(mult(mult(a, a), a), mult(c, b)) = mult(mult(a, a), mult(a, mult(c, b)))),
% 4.70/4.92 inference(unit_resolution,[status(thm)],[5694, 5462])).
% 4.70/4.92 tff(5696,plain,
% 4.70/4.92 (((~![X0: $i, X1: $i, X2: $i] : ((~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X2, X1)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X1, X2)))))) | (~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X1, X2)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X2, X1)))))))) | (mult(mult(a, a), a) = mult(a, mult(a, a)))) <=> ((~![X0: $i, X1: $i, X2: $i] : ((~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X2, X1)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X1, X2)))))) | (~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X1, X2)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X2, X1)))))))) | (mult(mult(a, a), a) = mult(a, mult(a, a))))),
% 4.70/4.92 inference(rewrite,[status(thm)],[])).
% 4.70/4.92 tff(5697,plain,
% 4.70/4.92 (((mult(mult(a, a), a) = mult(a, mult(a, a))) | (mult(mult(a, a), a) = mult(a, mult(a, a)))) <=> (mult(mult(a, a), a) = mult(a, mult(a, a)))),
% 4.70/4.92 inference(rewrite,[status(thm)],[])).
% 4.70/4.92 tff(5698,plain,
% 4.70/4.92 ((~(~(mult(mult(a, a), a) = mult(a, mult(a, a))))) <=> (mult(mult(a, a), a) = mult(a, mult(a, a)))),
% 4.70/4.92 inference(rewrite,[status(thm)],[])).
% 4.70/4.92 tff(5699,plain,
% 4.70/4.92 (((~(mult(mult(a, a), a) = mult(a, mult(a, a)))) | (~(mult(mult(a, a), a) = mult(a, mult(a, a))))) <=> (~(mult(mult(a, a), a) = mult(a, mult(a, a))))),
% 4.70/4.92 inference(rewrite,[status(thm)],[])).
% 4.70/4.92 tff(5700,plain,
% 4.70/4.92 ((~((~(mult(mult(a, a), a) = mult(a, mult(a, a)))) | (~(mult(mult(a, a), a) = mult(a, mult(a, a)))))) <=> (~(~(mult(mult(a, a), a) = mult(a, mult(a, a)))))),
% 4.70/4.92 inference(monotonicity,[status(thm)],[5699])).
% 4.70/4.92 tff(5701,plain,
% 4.70/4.92 ((~((~(mult(mult(a, a), a) = mult(a, mult(a, a)))) | (~(mult(mult(a, a), a) = mult(a, mult(a, a)))))) <=> (mult(mult(a, a), a) = mult(a, mult(a, a)))),
% 4.70/4.92 inference(transitivity,[status(thm)],[5700, 5698])).
% 4.70/4.92 tff(5702,plain,
% 4.70/4.92 (((~((~(mult(mult(a, a), a) = mult(a, mult(a, a)))) | (~(mult(mult(a, a), a) = mult(a, mult(a, a)))))) | (~((~(mult(mult(a, a), a) = mult(a, mult(a, a)))) | (~(mult(mult(a, a), a) = mult(a, mult(a, a))))))) <=> ((mult(mult(a, a), a) = mult(a, mult(a, a))) | (mult(mult(a, a), a) = mult(a, mult(a, a))))),
% 4.70/4.92 inference(monotonicity,[status(thm)],[5701, 5701])).
% 4.70/4.92 tff(5703,plain,
% 4.70/4.92 (((~((~(mult(mult(a, a), a) = mult(a, mult(a, a)))) | (~(mult(mult(a, a), a) = mult(a, mult(a, a)))))) | (~((~(mult(mult(a, a), a) = mult(a, mult(a, a)))) | (~(mult(mult(a, a), a) = mult(a, mult(a, a))))))) <=> (mult(mult(a, a), a) = mult(a, mult(a, a)))),
% 4.70/4.92 inference(transitivity,[status(thm)],[5702, 5697])).
% 4.70/4.92 tff(5704,plain,
% 4.70/4.92 (((~![X0: $i, X1: $i, X2: $i] : ((~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X2, X1)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X1, X2)))))) | (~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X1, X2)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X2, X1)))))))) | ((~((~(mult(mult(a, a), a) = mult(a, mult(a, a)))) | (~(mult(mult(a, a), a) = mult(a, mult(a, a)))))) | (~((~(mult(mult(a, a), a) = mult(a, mult(a, a)))) | (~(mult(mult(a, a), a) = mult(a, mult(a, a)))))))) <=> ((~![X0: $i, X1: $i, X2: $i] : ((~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X2, X1)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X1, X2)))))) | (~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X1, X2)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X2, X1)))))))) | (mult(mult(a, a), a) = mult(a, mult(a, a))))),
% 4.70/4.92 inference(monotonicity,[status(thm)],[5703])).
% 4.70/4.92 tff(5705,plain,
% 4.70/4.92 (((~![X0: $i, X1: $i, X2: $i] : ((~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X2, X1)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X1, X2)))))) | (~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X1, X2)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X2, X1)))))))) | ((~((~(mult(mult(a, a), a) = mult(a, mult(a, a)))) | (~(mult(mult(a, a), a) = mult(a, mult(a, a)))))) | (~((~(mult(mult(a, a), a) = mult(a, mult(a, a)))) | (~(mult(mult(a, a), a) = mult(a, mult(a, a)))))))) <=> ((~![X0: $i, X1: $i, X2: $i] : ((~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X2, X1)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X1, X2)))))) | (~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X1, X2)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X2, X1)))))))) | (mult(mult(a, a), a) = mult(a, mult(a, a))))),
% 4.70/4.92 inference(transitivity,[status(thm)],[5704, 5696])).
% 4.70/4.92 tff(5706,plain,
% 4.70/4.92 ((~![X0: $i, X1: $i, X2: $i] : ((~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X2, X1)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X1, X2)))))) | (~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X1, X2)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X2, X1)))))))) | ((~((~(mult(mult(a, a), a) = mult(a, mult(a, a)))) | (~(mult(mult(a, a), a) = mult(a, mult(a, a)))))) | (~((~(mult(mult(a, a), a) = mult(a, mult(a, a)))) | (~(mult(mult(a, a), a) = mult(a, mult(a, a)))))))),
% 4.70/4.92 inference(quant_inst,[status(thm)],[])).
% 4.70/4.92 tff(5707,plain,
% 4.70/4.92 ((~![X0: $i, X1: $i, X2: $i] : ((~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X2, X1)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X1, X2)))))) | (~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X1, X2)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X2, X1)))))))) | (mult(mult(a, a), a) = mult(a, mult(a, a)))),
% 4.70/4.92 inference(modus_ponens,[status(thm)],[5706, 5705])).
% 4.70/4.92 tff(5708,plain,
% 4.70/4.92 (mult(mult(a, a), a) = mult(a, mult(a, a))),
% 4.70/4.92 inference(unit_resolution,[status(thm)],[5707, 30])).
% 4.70/4.92 tff(5709,plain,
% 4.70/4.92 (mult(a, mult(a, a)) = mult(mult(a, a), a)),
% 4.70/4.92 inference(symmetry,[status(thm)],[5708])).
% 4.70/4.92 tff(5710,plain,
% 4.70/4.92 (mult(mult(a, mult(a, a)), mult(c, b)) = mult(mult(mult(a, a), a), mult(c, b))),
% 4.70/4.92 inference(monotonicity,[status(thm)],[5709])).
% 4.70/4.92 tff(5711,plain,
% 4.70/4.92 ((mult(mult(a, c), mult(a, b)) = mult(mult(a, c), mult(b, a))) <=> (mult(mult(mult(a, c), b), a) = mult(mult(a, c), mult(b, a)))),
% 4.70/4.92 inference(monotonicity,[status(thm)],[2160])).
% 4.70/4.92 tff(5712,plain,
% 4.70/4.92 ((mult(mult(mult(a, c), b), a) = mult(mult(a, c), mult(b, a))) <=> (mult(mult(a, c), mult(a, b)) = mult(mult(a, c), mult(b, a)))),
% 4.70/4.92 inference(symmetry,[status(thm)],[5711])).
% 4.70/4.92 tff(5713,plain,
% 4.70/4.92 ((~(mult(mult(mult(a, c), b), a) = mult(mult(a, c), mult(b, a)))) <=> (~(mult(mult(a, c), mult(a, b)) = mult(mult(a, c), mult(b, a))))),
% 4.70/4.92 inference(monotonicity,[status(thm)],[5712])).
% 4.70/4.92 tff(5714,plain,
% 4.70/4.92 (~(mult(mult(a, c), mult(a, b)) = mult(mult(a, c), mult(b, a)))),
% 4.70/4.92 inference(modus_ponens,[status(thm)],[614, 5713])).
% 4.70/4.92 tff(5715,plain,
% 4.70/4.92 (~(mult(a, b) = mult(b, a))),
% 4.70/4.92 inference(unit_resolution,[status(thm)],[3997, 5714])).
% 4.70/4.92 tff(5716,plain,
% 4.70/4.92 (mult(mult(b, a), c) = mult(mult(a, b), c)),
% 4.70/4.92 inference(transitivity,[status(thm)],[3427, 526, 5314, 5566, 802, 110])).
% 4.70/4.92 tff(5717,plain,
% 4.70/4.92 (rd(mult(mult(b, a), c), c) = rd(mult(mult(a, b), c), c)),
% 4.70/4.92 inference(monotonicity,[status(thm)],[5716])).
% 4.70/4.92 tff(5718,plain,
% 4.70/4.92 (rd(mult(mult(a, b), c), c) = rd(mult(mult(b, a), c), c)),
% 4.70/4.92 inference(symmetry,[status(thm)],[5717])).
% 4.70/4.92 tff(5719,plain,
% 4.70/4.92 (mult(a, b) = mult(b, a)),
% 4.70/4.92 inference(transitivity,[status(thm)],[985, 5718, 414])).
% 4.70/4.92 tff(5720,plain,
% 4.70/4.92 ($false),
% 4.70/4.92 inference(unit_resolution,[status(thm)],[1, 5719])).
% 4.70/4.92 tff(5721,plain,((~(mult(mult(b, c), a) = mult(b, mult(c, a)))) | (mult(a, b) = mult(b, a)) | (~(mult(mult(a, b), c) = mult(a, mult(c, b)))) | (~(mult(mult(a, mult(b, c)), a) = mult(a, mult(mult(b, c), a)))) | (~(mult(mult(a, c), mult(a, b)) = mult(a, mult(mult(a, b), c)))) | (~(mult(mult(mult(a, c), b), a) = mult(mult(a, c), mult(a, b)))) | (~(mult(mult(a, c), b) = mult(a, mult(b, c))))), inference(lemma,lemma(discharge,[]))).
% 4.70/4.92 tff(5722,plain,
% 4.70/4.92 (~(mult(mult(b, c), a) = mult(b, mult(c, a)))),
% 4.70/4.92 inference(unit_resolution,[status(thm)],[5721, 4654, 91, 5309, 5715, 971, 97])).
% 4.70/4.92 tff(5723,plain,
% 4.70/4.92 ((~(mult(mult(b, mult(a, c)), a) = mult(b, mult(mult(a, c), a)))) | (mult(mult(b, c), a) = mult(b, mult(c, a)))),
% 4.70/4.92 inference(unit_resolution,[status(thm)],[5187, 3433])).
% 4.70/4.92 tff(5724,plain,
% 4.70/4.92 (~(mult(mult(b, mult(a, c)), a) = mult(b, mult(mult(a, c), a)))),
% 4.70/4.92 inference(unit_resolution,[status(thm)],[5723, 5722])).
% 4.70/4.92 tff(5725,plain,
% 4.70/4.92 ((mult(b, mult(mult(a, c), a)) = mult(mult(b, mult(a, c)), a)) <=> (mult(mult(b, mult(a, c)), a) = mult(b, mult(mult(a, c), a)))),
% 4.70/4.92 inference(commutativity,[status(thm)],[])).
% 4.70/4.92 tff(5726,assumption,(~(mult(mult(b, mult(a, c)), a) = mult(b, mult(mult(a, c), a)))), introduced(assumption)).
% 4.70/4.92 tff(5727,plain,
% 4.70/4.92 ((~(mult(mult(b, a), mult(a, c)) = mult(b, mult(a, mult(a, c))))) | (~(mult(mult(b, mult(a, c)), a) = mult(b, mult(mult(a, c), a))))),
% 4.70/4.92 inference(unit_resolution,[status(thm)],[5189, 5726])).
% 4.70/4.92 tff(5728,plain,
% 4.70/4.92 (~((~(mult(mult(b, a), mult(a, c)) = mult(b, mult(mult(a, c), a)))) | (~(mult(mult(b, mult(a, c)), a) = mult(b, mult(a, mult(a, c))))))),
% 4.70/4.92 inference(unit_resolution,[status(thm)],[5201, 5727])).
% 4.70/4.92 tff(5729,plain,
% 4.70/4.92 (mult(mult(b, mult(a, c)), a) = mult(b, mult(a, mult(a, c)))),
% 4.70/4.92 inference(unit_resolution,[status(thm)],[5320, 5728])).
% 4.70/4.92 tff(5730,plain,
% 4.70/4.92 (mult(b, mult(a, mult(a, c))) = mult(mult(b, mult(a, c)), a)),
% 4.70/4.92 inference(symmetry,[status(thm)],[5729])).
% 4.70/4.92 tff(5731,assumption,(mult(mult(mult(b, a), c), a) = mult(mult(b, a), mult(a, c))), introduced(assumption)).
% 4.70/4.92 tff(5732,plain,
% 4.70/4.92 (mult(mult(b, a), mult(a, c)) = mult(mult(mult(b, a), c), a)),
% 4.70/4.92 inference(symmetry,[status(thm)],[5731])).
% 4.70/4.92 tff(5733,plain,
% 4.70/4.92 (mult(mult(b, a), mult(a, c)) = mult(b, mult(mult(a, c), a))),
% 4.70/4.92 inference(transitivity,[status(thm)],[5732, 862])).
% 4.70/4.92 tff(5734,plain,
% 4.70/4.92 ((mult(mult(b, a), mult(a, c)) = mult(b, mult(a, mult(a, c)))) <=> (mult(b, mult(mult(a, c), a)) = mult(mult(b, mult(a, c)), a))),
% 4.70/4.92 inference(monotonicity,[status(thm)],[5733, 5730])).
% 4.70/4.92 tff(5735,plain,
% 4.70/4.92 ((mult(mult(b, a), mult(a, c)) = mult(b, mult(a, mult(a, c)))) <=> (mult(mult(b, mult(a, c)), a) = mult(b, mult(mult(a, c), a)))),
% 4.70/4.92 inference(transitivity,[status(thm)],[5734, 5725])).
% 4.70/4.92 tff(5736,plain,
% 4.70/4.92 ((mult(mult(b, mult(a, c)), a) = mult(b, mult(mult(a, c), a))) <=> (mult(mult(b, a), mult(a, c)) = mult(b, mult(a, mult(a, c))))),
% 4.70/4.92 inference(symmetry,[status(thm)],[5735])).
% 4.70/4.92 tff(5737,plain,
% 4.70/4.92 ((~(mult(mult(b, mult(a, c)), a) = mult(b, mult(mult(a, c), a)))) <=> (~(mult(mult(b, a), mult(a, c)) = mult(b, mult(a, mult(a, c)))))),
% 4.70/4.92 inference(monotonicity,[status(thm)],[5736])).
% 4.70/4.92 tff(5738,plain,
% 4.70/4.92 (~(mult(mult(b, a), mult(a, c)) = mult(b, mult(a, mult(a, c))))),
% 4.70/4.92 inference(modus_ponens,[status(thm)],[5726, 5737])).
% 4.70/4.92 tff(5739,assumption,(mult(mult(b, a), mult(a, c)) = mult(b, mult(a, mult(a, c)))), introduced(assumption)).
% 4.70/4.92 tff(5740,plain,
% 4.70/4.92 ($false),
% 4.70/4.92 inference(unit_resolution,[status(thm)],[5739, 5738])).
% 4.70/4.92 tff(5741,plain,((mult(mult(b, mult(a, c)), a) = mult(b, mult(mult(a, c), a))) | (~(mult(mult(b, a), mult(a, c)) = mult(b, mult(a, mult(a, c))))) | (~(mult(mult(mult(b, a), c), a) = mult(mult(b, a), mult(a, c))))), inference(lemma,lemma(discharge,[]))).
% 4.70/4.92 tff(5742,plain,
% 4.70/4.92 (~(mult(mult(b, a), mult(a, c)) = mult(b, mult(a, mult(a, c))))),
% 4.70/4.92 inference(unit_resolution,[status(thm)],[5741, 5724, 3530])).
% 4.70/4.92 tff(5743,plain,
% 4.70/4.92 ((~![B: $i, A: $i] : (ld(A, mult(A, B)) = B)) | (ld(a, mult(a, mult(a, mult(a, c)))) = mult(a, mult(a, c)))),
% 4.70/4.92 inference(quant_inst,[status(thm)],[])).
% 4.70/4.92 tff(5744,plain,
% 4.70/4.92 (ld(a, mult(a, mult(a, mult(a, c)))) = mult(a, mult(a, c))),
% 4.70/4.92 inference(unit_resolution,[status(thm)],[5743, 9])).
% 4.70/4.92 tff(5745,assumption,(mult(mult(mult(a, a), c), a) = mult(mult(a, a), mult(a, c))), introduced(assumption)).
% 4.70/4.92 tff(5746,plain,
% 4.70/4.92 (mult(a, mult(a, mult(c, a))) = mult(a, mult(mult(a, c), a))),
% 4.70/4.92 inference(monotonicity,[status(thm)],[3781])).
% 4.70/4.92 tff(5747,plain,
% 4.70/4.92 (mult(a, mult(a, mult(c, a))) = mult(a, mult(a, mult(a, c)))),
% 4.70/4.92 inference(transitivity,[status(thm)],[5746, 5394, 5745, 5544])).
% 4.70/4.92 tff(5748,plain,
% 4.70/4.92 (ld(a, mult(a, mult(a, mult(c, a)))) = ld(a, mult(a, mult(a, mult(a, c))))),
% 4.70/4.92 inference(monotonicity,[status(thm)],[5747])).
% 4.70/4.92 tff(5749,plain,
% 4.70/4.92 ((~![B: $i, A: $i] : (ld(A, mult(A, B)) = B)) | (ld(a, mult(a, mult(a, mult(c, a)))) = mult(a, mult(c, a)))),
% 4.70/4.92 inference(quant_inst,[status(thm)],[])).
% 4.70/4.92 tff(5750,plain,
% 4.70/4.92 (ld(a, mult(a, mult(a, mult(c, a)))) = mult(a, mult(c, a))),
% 4.70/4.92 inference(unit_resolution,[status(thm)],[5749, 9])).
% 4.70/4.92 tff(5751,plain,
% 4.70/4.92 (mult(a, mult(c, a)) = ld(a, mult(a, mult(a, mult(c, a))))),
% 4.70/4.92 inference(symmetry,[status(thm)],[5750])).
% 4.70/4.92 tff(5752,plain,
% 4.70/4.92 (mult(a, mult(c, a)) = mult(a, mult(a, c))),
% 4.70/4.92 inference(transitivity,[status(thm)],[5751, 5748, 5744])).
% 4.70/4.92 tff(5753,plain,
% 4.70/4.92 (mult(b, mult(a, mult(c, a))) = mult(b, mult(a, mult(a, c)))),
% 4.70/4.92 inference(monotonicity,[status(thm)],[5752])).
% 4.70/4.92 tff(5754,plain,
% 4.70/4.92 (mult(mult(b, a), mult(a, c)) = mult(b, mult(a, mult(a, c)))),
% 4.70/4.92 inference(transitivity,[status(thm)],[5732, 3490, 3635, 5753])).
% 4.70/4.92 tff(5755,assumption,(~(mult(mult(b, a), mult(a, c)) = mult(b, mult(a, mult(a, c))))), introduced(assumption)).
% 4.70/4.92 tff(5756,plain,
% 4.70/4.92 ($false),
% 4.70/4.92 inference(unit_resolution,[status(thm)],[5755, 5754])).
% 4.70/4.92 tff(5757,plain,((~(mult(mult(mult(a, a), c), a) = mult(mult(a, a), mult(a, c)))) | (mult(mult(b, a), mult(a, c)) = mult(b, mult(a, mult(a, c)))) | (~(mult(mult(mult(b, a), c), a) = mult(mult(b, a), mult(a, c)))) | (~(mult(mult(b, mult(c, a)), a) = mult(b, mult(a, mult(c, a))))) | (~(mult(mult(a, a), mult(a, c)) = mult(a, mult(a, mult(a, c))))) | (~(mult(mult(b, a), c) = mult(b, mult(c, a))))), inference(lemma,lemma(discharge,[]))).
% 4.70/4.92 tff(5758,plain,
% 4.70/4.92 ((~(mult(mult(mult(a, a), c), a) = mult(mult(a, a), mult(a, c)))) | (mult(mult(b, a), mult(a, c)) = mult(b, mult(a, mult(a, c)))) | (~(mult(mult(mult(b, a), c), a) = mult(mult(b, a), mult(a, c)))) | (~(mult(mult(b, mult(c, a)), a) = mult(b, mult(a, mult(c, a))))) | (~(mult(mult(a, a), mult(a, c)) = mult(a, mult(a, mult(a, c)))))),
% 4.70/4.92 inference(unit_resolution,[status(thm)],[5757, 3427])).
% 4.70/4.92 tff(5759,plain,
% 4.70/4.92 ((~(mult(mult(mult(a, a), c), a) = mult(mult(a, a), mult(a, c)))) | (mult(mult(b, a), mult(a, c)) = mult(b, mult(a, mult(a, c)))) | (~(mult(mult(mult(b, a), c), a) = mult(mult(b, a), mult(a, c)))) | (~(mult(mult(a, a), mult(a, c)) = mult(a, mult(a, mult(a, c)))))),
% 4.70/4.92 inference(unit_resolution,[status(thm)],[5758, 4679])).
% 4.70/4.92 tff(5760,plain,
% 4.70/4.92 (~(mult(mult(mult(a, a), c), a) = mult(mult(a, a), mult(a, c)))),
% 4.70/4.92 inference(unit_resolution,[status(thm)],[5759, 5742, 3530, 5403])).
% 4.70/4.92 tff(5761,plain,
% 4.70/4.92 (((~(mult(mult(mult(a, a), a), c) = mult(mult(a, a), mult(c, a)))) | (~(mult(mult(mult(a, a), c), a) = mult(mult(a, a), mult(a, c))))) | (mult(mult(mult(a, a), c), a) = mult(mult(a, a), mult(a, c)))),
% 4.70/4.92 inference(tautology,[status(thm)],[])).
% 4.70/4.92 tff(5762,plain,
% 4.70/4.92 ((~(mult(mult(mult(a, a), a), c) = mult(mult(a, a), mult(c, a)))) | (~(mult(mult(mult(a, a), c), a) = mult(mult(a, a), mult(a, c))))),
% 4.70/4.92 inference(unit_resolution,[status(thm)],[5761, 5760])).
% 4.70/4.92 tff(5763,plain,
% 4.70/4.92 (((~![X0: $i, X1: $i, X2: $i] : ((~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X2, X1)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X1, X2)))))) | (~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X1, X2)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X2, X1)))))))) | ((~((~(mult(mult(mult(a, a), a), c) = mult(mult(a, a), mult(a, c)))) | (~(mult(mult(mult(a, a), c), a) = mult(mult(a, a), mult(c, a)))))) | (~((~(mult(mult(mult(a, a), a), c) = mult(mult(a, a), mult(c, a)))) | (~(mult(mult(mult(a, a), c), a) = mult(mult(a, a), mult(a, c)))))))) <=> ((~![X0: $i, X1: $i, X2: $i] : ((~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X2, X1)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X1, X2)))))) | (~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X1, X2)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X2, X1)))))))) | (~((~(mult(mult(mult(a, a), a), c) = mult(mult(a, a), mult(a, c)))) | (~(mult(mult(mult(a, a), c), a) = mult(mult(a, a), mult(c, a)))))) | (~((~(mult(mult(mult(a, a), a), c) = mult(mult(a, a), mult(c, a)))) | (~(mult(mult(mult(a, a), c), a) = mult(mult(a, a), mult(a, c)))))))),
% 4.70/4.92 inference(rewrite,[status(thm)],[])).
% 4.70/4.92 tff(5764,plain,
% 4.70/4.92 (((~((~(mult(mult(mult(a, a), a), c) = mult(mult(a, a), mult(c, a)))) | (~(mult(mult(mult(a, a), c), a) = mult(mult(a, a), mult(a, c)))))) | (~((~(mult(mult(mult(a, a), a), c) = mult(mult(a, a), mult(a, c)))) | (~(mult(mult(mult(a, a), c), a) = mult(mult(a, a), mult(c, a))))))) <=> ((~((~(mult(mult(mult(a, a), a), c) = mult(mult(a, a), mult(a, c)))) | (~(mult(mult(mult(a, a), c), a) = mult(mult(a, a), mult(c, a)))))) | (~((~(mult(mult(mult(a, a), a), c) = mult(mult(a, a), mult(c, a)))) | (~(mult(mult(mult(a, a), c), a) = mult(mult(a, a), mult(a, c)))))))),
% 4.76/4.92 inference(rewrite,[status(thm)],[])).
% 4.76/4.92 tff(5765,plain,
% 4.76/4.92 (((~![X0: $i, X1: $i, X2: $i] : ((~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X2, X1)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X1, X2)))))) | (~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X1, X2)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X2, X1)))))))) | ((~((~(mult(mult(mult(a, a), a), c) = mult(mult(a, a), mult(c, a)))) | (~(mult(mult(mult(a, a), c), a) = mult(mult(a, a), mult(a, c)))))) | (~((~(mult(mult(mult(a, a), a), c) = mult(mult(a, a), mult(a, c)))) | (~(mult(mult(mult(a, a), c), a) = mult(mult(a, a), mult(c, a)))))))) <=> ((~![X0: $i, X1: $i, X2: $i] : ((~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X2, X1)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X1, X2)))))) | (~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X1, X2)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X2, X1)))))))) | ((~((~(mult(mult(mult(a, a), a), c) = mult(mult(a, a), mult(a, c)))) | (~(mult(mult(mult(a, a), c), a) = mult(mult(a, a), mult(c, a)))))) | (~((~(mult(mult(mult(a, a), a), c) = mult(mult(a, a), mult(c, a)))) | (~(mult(mult(mult(a, a), c), a) = mult(mult(a, a), mult(a, c))))))))),
% 4.76/4.92 inference(monotonicity,[status(thm)],[5764])).
% 4.76/4.92 tff(5766,plain,
% 4.76/4.92 (((~![X0: $i, X1: $i, X2: $i] : ((~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X2, X1)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X1, X2)))))) | (~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X1, X2)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X2, X1)))))))) | ((~((~(mult(mult(mult(a, a), a), c) = mult(mult(a, a), mult(c, a)))) | (~(mult(mult(mult(a, a), c), a) = mult(mult(a, a), mult(a, c)))))) | (~((~(mult(mult(mult(a, a), a), c) = mult(mult(a, a), mult(a, c)))) | (~(mult(mult(mult(a, a), c), a) = mult(mult(a, a), mult(c, a)))))))) <=> ((~![X0: $i, X1: $i, X2: $i] : ((~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X2, X1)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X1, X2)))))) | (~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X1, X2)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X2, X1)))))))) | (~((~(mult(mult(mult(a, a), a), c) = mult(mult(a, a), mult(a, c)))) | (~(mult(mult(mult(a, a), c), a) = mult(mult(a, a), mult(c, a)))))) | (~((~(mult(mult(mult(a, a), a), c) = mult(mult(a, a), mult(c, a)))) | (~(mult(mult(mult(a, a), c), a) = mult(mult(a, a), mult(a, c)))))))),
% 4.76/4.92 inference(transitivity,[status(thm)],[5765, 5763])).
% 4.76/4.92 tff(5767,plain,
% 4.76/4.92 ((~![X0: $i, X1: $i, X2: $i] : ((~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X2, X1)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X1, X2)))))) | (~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X1, X2)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X2, X1)))))))) | ((~((~(mult(mult(mult(a, a), a), c) = mult(mult(a, a), mult(c, a)))) | (~(mult(mult(mult(a, a), c), a) = mult(mult(a, a), mult(a, c)))))) | (~((~(mult(mult(mult(a, a), a), c) = mult(mult(a, a), mult(a, c)))) | (~(mult(mult(mult(a, a), c), a) = mult(mult(a, a), mult(c, a)))))))),
% 4.76/4.92 inference(quant_inst,[status(thm)],[])).
% 4.76/4.92 tff(5768,plain,
% 4.76/4.92 ((~![X0: $i, X1: $i, X2: $i] : ((~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X2, X1)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X1, X2)))))) | (~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X1, X2)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X2, X1)))))))) | (~((~(mult(mult(mult(a, a), a), c) = mult(mult(a, a), mult(a, c)))) | (~(mult(mult(mult(a, a), c), a) = mult(mult(a, a), mult(c, a)))))) | (~((~(mult(mult(mult(a, a), a), c) = mult(mult(a, a), mult(c, a)))) | (~(mult(mult(mult(a, a), c), a) = mult(mult(a, a), mult(a, c))))))),
% 4.76/4.92 inference(modus_ponens,[status(thm)],[5767, 5766])).
% 4.76/4.92 tff(5769,plain,
% 4.76/4.92 ((~((~(mult(mult(mult(a, a), a), c) = mult(mult(a, a), mult(a, c)))) | (~(mult(mult(mult(a, a), c), a) = mult(mult(a, a), mult(c, a)))))) | (~((~(mult(mult(mult(a, a), a), c) = mult(mult(a, a), mult(c, a)))) | (~(mult(mult(mult(a, a), c), a) = mult(mult(a, a), mult(a, c))))))),
% 4.76/4.93 inference(unit_resolution,[status(thm)],[5768, 30])).
% 4.76/4.93 tff(5770,plain,
% 4.76/4.93 (~((~(mult(mult(mult(a, a), a), c) = mult(mult(a, a), mult(a, c)))) | (~(mult(mult(mult(a, a), c), a) = mult(mult(a, a), mult(c, a)))))),
% 4.76/4.93 inference(unit_resolution,[status(thm)],[5769, 5762])).
% 4.76/4.93 tff(5771,plain,
% 4.76/4.93 (((~(mult(mult(mult(a, a), a), c) = mult(mult(a, a), mult(a, c)))) | (~(mult(mult(mult(a, a), c), a) = mult(mult(a, a), mult(c, a))))) | (mult(mult(mult(a, a), a), c) = mult(mult(a, a), mult(a, c)))),
% 4.76/4.93 inference(tautology,[status(thm)],[])).
% 4.76/4.93 tff(5772,plain,
% 4.76/4.93 (mult(mult(mult(a, a), a), c) = mult(mult(a, a), mult(a, c))),
% 4.76/4.93 inference(unit_resolution,[status(thm)],[5771, 5770])).
% 4.76/4.93 tff(5773,plain,
% 4.76/4.93 (mult(b, mult(a, mult(a, c))) = mult(mult(a, mult(c, b)), a)),
% 4.76/4.93 inference(transitivity,[status(thm)],[5329, 5318, 5316])).
% 4.76/4.93 tff(5774,plain,
% 4.76/4.93 (mult(a, mult(b, mult(a, mult(a, c)))) = mult(a, mult(mult(a, mult(c, b)), a))),
% 4.76/4.93 inference(monotonicity,[status(thm)],[5773])).
% 4.76/4.93 tff(5775,plain,
% 4.76/4.93 (mult(mult(a, b), mult(a, mult(a, c))) = mult(mult(mult(a, b), mult(a, c)), a)),
% 4.76/4.93 inference(symmetry,[status(thm)],[5680])).
% 4.76/4.93 tff(5776,plain,
% 4.76/4.93 (mult(mult(a, b), mult(a, mult(a, c))) = mult(mult(a, a), mult(a, mult(c, b)))),
% 4.76/4.93 inference(transitivity,[status(thm)],[5775, 5681, 5689, 5500, 5692, 5470, 5468])).
% 4.76/4.93 tff(5777,plain,
% 4.76/4.93 ((mult(mult(a, b), mult(a, mult(a, c))) = mult(a, mult(b, mult(a, mult(a, c))))) <=> (mult(mult(a, a), mult(a, mult(c, b))) = mult(a, mult(mult(a, mult(c, b)), a)))),
% 4.76/4.93 inference(monotonicity,[status(thm)],[5776, 5774])).
% 4.76/4.93 tff(5778,plain,
% 4.76/4.93 ((mult(mult(a, a), mult(a, mult(c, b))) = mult(a, mult(mult(a, mult(c, b)), a))) <=> (mult(mult(a, b), mult(a, mult(a, c))) = mult(a, mult(b, mult(a, mult(a, c)))))),
% 4.76/4.93 inference(symmetry,[status(thm)],[5777])).
% 4.76/4.93 tff(5779,plain,
% 4.76/4.93 ((~(mult(mult(a, a), mult(a, mult(c, b))) = mult(a, mult(mult(a, mult(c, b)), a)))) <=> (~(mult(mult(a, b), mult(a, mult(a, c))) = mult(a, mult(b, mult(a, mult(a, c))))))),
% 4.76/4.93 inference(monotonicity,[status(thm)],[5778])).
% 4.76/4.93 tff(5780,plain,
% 4.76/4.93 (~(mult(mult(a, b), mult(a, mult(a, c))) = mult(a, mult(b, mult(a, mult(a, c)))))),
% 4.76/4.93 inference(modus_ponens,[status(thm)],[5490, 5779])).
% 4.76/4.93 tff(5781,plain,
% 4.76/4.93 ((~(mult(mult(a, b), mult(a, mult(a, c))) = mult(a, mult(b, mult(a, mult(a, c)))))) | (~(mult(mult(a, mult(a, mult(a, c))), b) = mult(a, mult(mult(a, mult(a, c)), b))))),
% 4.76/4.93 inference(unit_resolution,[status(thm)],[5607, 5780])).
% 4.76/4.93 tff(5782,plain,
% 4.76/4.93 (~((~(mult(mult(a, b), mult(a, mult(a, c))) = mult(a, mult(mult(a, mult(a, c)), b)))) | (~(mult(mult(a, mult(a, mult(a, c))), b) = mult(a, mult(b, mult(a, mult(a, c)))))))),
% 4.76/4.93 inference(unit_resolution,[status(thm)],[5605, 5781])).
% 4.76/4.93 tff(5783,plain,
% 4.76/4.93 (mult(mult(a, mult(a, mult(a, c))), b) = mult(a, mult(b, mult(a, mult(a, c))))),
% 4.76/4.93 inference(unit_resolution,[status(thm)],[5600, 5782])).
% 4.76/4.93 tff(5784,plain,
% 4.76/4.93 (mult(mult(mult(b, c), a), a) = mult(mult(b, mult(a, c)), a)),
% 4.76/4.93 inference(symmetry,[status(thm)],[5318])).
% 4.76/4.93 tff(5785,plain,
% 4.76/4.93 (mult(mult(a, mult(c, b)), a) = mult(mult(mult(b, c), a), a)),
% 4.76/4.93 inference(symmetry,[status(thm)],[5568])).
% 4.76/4.93 tff(5786,plain,
% 4.76/4.93 (mult(mult(a, mult(c, b)), a) = mult(b, mult(a, mult(a, c)))),
% 4.76/4.93 inference(transitivity,[status(thm)],[5785, 5784, 5328])).
% 4.76/4.93 tff(5787,plain,
% 4.76/4.93 (mult(a, mult(mult(a, mult(c, b)), a)) = mult(a, mult(b, mult(a, mult(a, c))))),
% 4.76/4.93 inference(monotonicity,[status(thm)],[5786])).
% 4.76/4.93 tff(5788,plain,
% 4.76/4.93 (mult(a, mult(b, mult(a, mult(a, c)))) = mult(a, mult(mult(a, mult(c, b)), a))),
% 4.76/4.93 inference(symmetry,[status(thm)],[5787])).
% 4.76/4.93 tff(5789,assumption,(mult(mult(a, mult(a, mult(a, c))), b) = mult(a, mult(b, mult(a, mult(a, c))))), introduced(assumption)).
% 4.76/4.93 tff(5790,plain,
% 4.76/4.93 (mult(mult(a, mult(a, a)), c) = mult(mult(mult(a, a), a), c)),
% 4.76/4.93 inference(monotonicity,[status(thm)],[5709])).
% 4.76/4.93 tff(5791,plain,
% 4.76/4.93 (mult(mult(mult(a, a), a), c) = mult(mult(a, mult(a, a)), c)),
% 4.76/4.93 inference(symmetry,[status(thm)],[5790])).
% 4.76/4.93 tff(5792,assumption,(mult(mult(mult(a, a), a), c) = mult(mult(a, a), mult(a, c))), introduced(assumption)).
% 4.76/4.93 tff(5793,plain,
% 4.76/4.93 (mult(mult(a, a), mult(a, c)) = mult(mult(mult(a, a), a), c)),
% 4.76/4.93 inference(symmetry,[status(thm)],[5792])).
% 4.76/4.93 tff(5794,plain,
% 4.76/4.93 (mult(a, mult(a, mult(a, c))) = mult(mult(a, mult(a, a)), c)),
% 4.76/4.93 inference(transitivity,[status(thm)],[5593, 5793, 5791])).
% 4.76/4.93 tff(5795,plain,
% 4.76/4.93 (mult(mult(a, mult(a, mult(a, c))), b) = mult(mult(mult(a, mult(a, a)), c), b)),
% 4.76/4.93 inference(monotonicity,[status(thm)],[5794])).
% 4.76/4.93 tff(5796,plain,
% 4.76/4.93 (mult(mult(mult(a, mult(a, a)), c), b) = mult(mult(a, mult(a, mult(a, c))), b)),
% 4.76/4.93 inference(symmetry,[status(thm)],[5795])).
% 4.76/4.93 tff(5797,assumption,(mult(mult(mult(a, mult(a, a)), c), b) = mult(mult(a, mult(a, a)), mult(c, b))), introduced(assumption)).
% 4.76/4.93 tff(5798,plain,
% 4.76/4.93 (mult(mult(a, mult(a, a)), mult(c, b)) = mult(mult(mult(a, mult(a, a)), c), b)),
% 4.76/4.93 inference(symmetry,[status(thm)],[5797])).
% 4.76/4.93 tff(5799,plain,
% 4.76/4.93 (mult(mult(mult(a, a), a), mult(c, b)) = mult(mult(a, mult(a, a)), mult(c, b))),
% 4.76/4.93 inference(symmetry,[status(thm)],[5710])).
% 4.76/4.93 tff(5800,assumption,(mult(mult(mult(a, a), a), mult(c, b)) = mult(mult(a, a), mult(a, mult(c, b)))), introduced(assumption)).
% 4.76/4.93 tff(5801,plain,
% 4.76/4.93 (mult(mult(a, a), mult(a, mult(c, b))) = mult(mult(mult(a, a), a), mult(c, b))),
% 4.76/4.93 inference(symmetry,[status(thm)],[5800])).
% 4.76/4.93 tff(5802,plain,
% 4.76/4.93 (mult(mult(a, a), mult(a, mult(c, b))) = mult(a, mult(mult(a, mult(c, b)), a))),
% 4.76/4.93 inference(transitivity,[status(thm)],[5801, 5799, 5798, 5796, 5789, 5788])).
% 4.76/4.93 tff(5803,plain,
% 4.76/4.93 ($false),
% 4.76/4.93 inference(unit_resolution,[status(thm)],[5545, 5802])).
% 4.76/4.93 tff(5804,plain,((~(mult(mult(mult(a, a), a), c) = mult(mult(a, a), mult(a, c)))) | (mult(mult(a, a), mult(a, mult(c, b))) = mult(a, mult(mult(a, mult(c, b)), a))) | (~(mult(mult(a, mult(a, mult(a, c))), b) = mult(a, mult(b, mult(a, mult(a, c)))))) | (~(mult(mult(mult(a, mult(a, a)), c), b) = mult(mult(a, mult(a, a)), mult(c, b)))) | (~(mult(mult(mult(a, a), a), mult(c, b)) = mult(mult(a, a), mult(a, mult(c, b))))) | (~(mult(mult(a, a), mult(a, c)) = mult(a, mult(a, mult(a, c))))) | (~(mult(mult(a, mult(b, c)), a) = mult(a, mult(mult(b, c), a)))) | (~(mult(mult(a, c), mult(a, b)) = mult(a, mult(mult(a, b), c)))) | (~(mult(mult(mult(a, c), b), a) = mult(mult(a, c), mult(a, b)))) | (~(mult(mult(a, b), c) = mult(a, mult(c, b)))) | (~(mult(mult(a, c), b) = mult(a, mult(b, c))))), inference(lemma,lemma(discharge,[]))).
% 4.76/4.93 tff(5805,plain,
% 4.76/4.93 (~(mult(mult(mult(a, mult(a, a)), c), b) = mult(mult(a, mult(a, a)), mult(c, b)))),
% 4.76/4.93 inference(unit_resolution,[status(thm)],[5804, 5783, 5772, 5490, 5695, 5403, 5309, 4654, 971, 91, 97])).
% 4.76/4.93 tff(5806,plain,
% 4.76/4.93 (((~(mult(mult(mult(a, mult(a, a)), c), b) = mult(mult(a, mult(a, a)), mult(c, b)))) | (~(mult(mult(mult(a, mult(a, a)), b), c) = mult(mult(a, mult(a, a)), mult(b, c))))) | (mult(mult(mult(a, mult(a, a)), c), b) = mult(mult(a, mult(a, a)), mult(c, b)))),
% 4.76/4.93 inference(tautology,[status(thm)],[])).
% 4.76/4.93 tff(5807,plain,
% 4.76/4.93 ((~(mult(mult(mult(a, mult(a, a)), c), b) = mult(mult(a, mult(a, a)), mult(c, b)))) | (~(mult(mult(mult(a, mult(a, a)), b), c) = mult(mult(a, mult(a, a)), mult(b, c))))),
% 4.76/4.93 inference(unit_resolution,[status(thm)],[5806, 5805])).
% 4.76/4.93 tff(5808,plain,
% 4.76/4.93 (((~![X0: $i, X1: $i, X2: $i] : ((~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X2, X1)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X1, X2)))))) | (~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X1, X2)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X2, X1)))))))) | ((~((~(mult(mult(mult(a, mult(a, a)), b), c) = mult(mult(a, mult(a, a)), mult(c, b)))) | (~(mult(mult(mult(a, mult(a, a)), c), b) = mult(mult(a, mult(a, a)), mult(b, c)))))) | (~((~(mult(mult(mult(a, mult(a, a)), c), b) = mult(mult(a, mult(a, a)), mult(c, b)))) | (~(mult(mult(mult(a, mult(a, a)), b), c) = mult(mult(a, mult(a, a)), mult(b, c)))))))) <=> ((~![X0: $i, X1: $i, X2: $i] : ((~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X2, X1)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X1, X2)))))) | (~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X1, X2)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X2, X1)))))))) | (~((~(mult(mult(mult(a, mult(a, a)), b), c) = mult(mult(a, mult(a, a)), mult(c, b)))) | (~(mult(mult(mult(a, mult(a, a)), c), b) = mult(mult(a, mult(a, a)), mult(b, c)))))) | (~((~(mult(mult(mult(a, mult(a, a)), c), b) = mult(mult(a, mult(a, a)), mult(c, b)))) | (~(mult(mult(mult(a, mult(a, a)), b), c) = mult(mult(a, mult(a, a)), mult(b, c)))))))),
% 4.76/4.93 inference(rewrite,[status(thm)],[])).
% 4.76/4.93 tff(5809,plain,
% 4.76/4.93 (((~((~(mult(mult(mult(a, mult(a, a)), c), b) = mult(mult(a, mult(a, a)), mult(b, c)))) | (~(mult(mult(mult(a, mult(a, a)), b), c) = mult(mult(a, mult(a, a)), mult(c, b)))))) | (~((~(mult(mult(mult(a, mult(a, a)), c), b) = mult(mult(a, mult(a, a)), mult(c, b)))) | (~(mult(mult(mult(a, mult(a, a)), b), c) = mult(mult(a, mult(a, a)), mult(b, c))))))) <=> ((~((~(mult(mult(mult(a, mult(a, a)), b), c) = mult(mult(a, mult(a, a)), mult(c, b)))) | (~(mult(mult(mult(a, mult(a, a)), c), b) = mult(mult(a, mult(a, a)), mult(b, c)))))) | (~((~(mult(mult(mult(a, mult(a, a)), c), b) = mult(mult(a, mult(a, a)), mult(c, b)))) | (~(mult(mult(mult(a, mult(a, a)), b), c) = mult(mult(a, mult(a, a)), mult(b, c)))))))),
% 4.76/4.93 inference(rewrite,[status(thm)],[])).
% 4.76/4.93 tff(5810,plain,
% 4.76/4.93 (((~![X0: $i, X1: $i, X2: $i] : ((~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X2, X1)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X1, X2)))))) | (~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X1, X2)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X2, X1)))))))) | ((~((~(mult(mult(mult(a, mult(a, a)), c), b) = mult(mult(a, mult(a, a)), mult(b, c)))) | (~(mult(mult(mult(a, mult(a, a)), b), c) = mult(mult(a, mult(a, a)), mult(c, b)))))) | (~((~(mult(mult(mult(a, mult(a, a)), c), b) = mult(mult(a, mult(a, a)), mult(c, b)))) | (~(mult(mult(mult(a, mult(a, a)), b), c) = mult(mult(a, mult(a, a)), mult(b, c)))))))) <=> ((~![X0: $i, X1: $i, X2: $i] : ((~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X2, X1)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X1, X2)))))) | (~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X1, X2)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X2, X1)))))))) | ((~((~(mult(mult(mult(a, mult(a, a)), b), c) = mult(mult(a, mult(a, a)), mult(c, b)))) | (~(mult(mult(mult(a, mult(a, a)), c), b) = mult(mult(a, mult(a, a)), mult(b, c)))))) | (~((~(mult(mult(mult(a, mult(a, a)), c), b) = mult(mult(a, mult(a, a)), mult(c, b)))) | (~(mult(mult(mult(a, mult(a, a)), b), c) = mult(mult(a, mult(a, a)), mult(b, c))))))))),
% 4.76/4.93 inference(monotonicity,[status(thm)],[5809])).
% 4.76/4.93 tff(5811,plain,
% 4.76/4.93 (((~![X0: $i, X1: $i, X2: $i] : ((~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X2, X1)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X1, X2)))))) | (~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X1, X2)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X2, X1)))))))) | ((~((~(mult(mult(mult(a, mult(a, a)), c), b) = mult(mult(a, mult(a, a)), mult(b, c)))) | (~(mult(mult(mult(a, mult(a, a)), b), c) = mult(mult(a, mult(a, a)), mult(c, b)))))) | (~((~(mult(mult(mult(a, mult(a, a)), c), b) = mult(mult(a, mult(a, a)), mult(c, b)))) | (~(mult(mult(mult(a, mult(a, a)), b), c) = mult(mult(a, mult(a, a)), mult(b, c)))))))) <=> ((~![X0: $i, X1: $i, X2: $i] : ((~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X2, X1)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X1, X2)))))) | (~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X1, X2)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X2, X1)))))))) | (~((~(mult(mult(mult(a, mult(a, a)), b), c) = mult(mult(a, mult(a, a)), mult(c, b)))) | (~(mult(mult(mult(a, mult(a, a)), c), b) = mult(mult(a, mult(a, a)), mult(b, c)))))) | (~((~(mult(mult(mult(a, mult(a, a)), c), b) = mult(mult(a, mult(a, a)), mult(c, b)))) | (~(mult(mult(mult(a, mult(a, a)), b), c) = mult(mult(a, mult(a, a)), mult(b, c)))))))),
% 4.76/4.93 inference(transitivity,[status(thm)],[5810, 5808])).
% 4.76/4.93 tff(5812,plain,
% 4.76/4.93 ((~![X0: $i, X1: $i, X2: $i] : ((~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X2, X1)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X1, X2)))))) | (~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X1, X2)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X2, X1)))))))) | ((~((~(mult(mult(mult(a, mult(a, a)), c), b) = mult(mult(a, mult(a, a)), mult(b, c)))) | (~(mult(mult(mult(a, mult(a, a)), b), c) = mult(mult(a, mult(a, a)), mult(c, b)))))) | (~((~(mult(mult(mult(a, mult(a, a)), c), b) = mult(mult(a, mult(a, a)), mult(c, b)))) | (~(mult(mult(mult(a, mult(a, a)), b), c) = mult(mult(a, mult(a, a)), mult(b, c)))))))),
% 4.76/4.93 inference(quant_inst,[status(thm)],[])).
% 4.76/4.93 tff(5813,plain,
% 4.76/4.93 ((~![X0: $i, X1: $i, X2: $i] : ((~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X2, X1)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X1, X2)))))) | (~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X1, X2)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X2, X1)))))))) | (~((~(mult(mult(mult(a, mult(a, a)), b), c) = mult(mult(a, mult(a, a)), mult(c, b)))) | (~(mult(mult(mult(a, mult(a, a)), c), b) = mult(mult(a, mult(a, a)), mult(b, c)))))) | (~((~(mult(mult(mult(a, mult(a, a)), c), b) = mult(mult(a, mult(a, a)), mult(c, b)))) | (~(mult(mult(mult(a, mult(a, a)), b), c) = mult(mult(a, mult(a, a)), mult(b, c))))))),
% 4.76/4.93 inference(modus_ponens,[status(thm)],[5812, 5811])).
% 4.76/4.93 tff(5814,plain,
% 4.76/4.93 ((~((~(mult(mult(mult(a, mult(a, a)), b), c) = mult(mult(a, mult(a, a)), mult(c, b)))) | (~(mult(mult(mult(a, mult(a, a)), c), b) = mult(mult(a, mult(a, a)), mult(b, c)))))) | (~((~(mult(mult(mult(a, mult(a, a)), c), b) = mult(mult(a, mult(a, a)), mult(c, b)))) | (~(mult(mult(mult(a, mult(a, a)), b), c) = mult(mult(a, mult(a, a)), mult(b, c))))))),
% 4.76/4.93 inference(unit_resolution,[status(thm)],[5813, 30])).
% 4.76/4.93 tff(5815,plain,
% 4.76/4.93 (~((~(mult(mult(mult(a, mult(a, a)), b), c) = mult(mult(a, mult(a, a)), mult(c, b)))) | (~(mult(mult(mult(a, mult(a, a)), c), b) = mult(mult(a, mult(a, a)), mult(b, c)))))),
% 4.76/4.93 inference(unit_resolution,[status(thm)],[5814, 5807])).
% 4.76/4.93 tff(5816,plain,
% 4.76/4.93 (((~(mult(mult(mult(a, mult(a, a)), b), c) = mult(mult(a, mult(a, a)), mult(c, b)))) | (~(mult(mult(mult(a, mult(a, a)), c), b) = mult(mult(a, mult(a, a)), mult(b, c))))) | (mult(mult(mult(a, mult(a, a)), b), c) = mult(mult(a, mult(a, a)), mult(c, b)))),
% 4.76/4.93 inference(tautology,[status(thm)],[])).
% 4.76/4.93 tff(5817,plain,
% 4.76/4.93 (mult(mult(mult(a, mult(a, a)), b), c) = mult(mult(a, mult(a, a)), mult(c, b))),
% 4.76/4.93 inference(unit_resolution,[status(thm)],[5816, 5815])).
% 4.76/4.93 tff(5818,plain,
% 4.76/4.93 (mult(mult(mult(a, mult(a, a)), b), c) = mult(mult(mult(mult(a, b), c), a), a)),
% 4.76/4.93 inference(transitivity,[status(thm)],[5817, 5710, 5695, 5467, 5482, 5693, 5637, 5690])).
% 4.76/4.93 tff(5819,plain,
% 4.76/4.93 (mult(mult(mult(mult(a, mult(a, a)), b), c), b) = mult(mult(mult(mult(mult(a, b), c), a), a), b)),
% 4.76/4.93 inference(monotonicity,[status(thm)],[5818])).
% 4.76/4.93 tff(5820,plain,
% 4.76/4.93 ((~![C: $i, B: $i, A: $i] : (mult(mult(mult(A, B), C), B) = mult(A, mult(mult(B, C), B)))) | (mult(mult(mult(mult(a, mult(a, a)), b), c), b) = mult(mult(a, mult(a, a)), mult(mult(b, c), b)))),
% 4.76/4.93 inference(quant_inst,[status(thm)],[])).
% 4.76/4.93 tff(5821,plain,
% 4.76/4.93 (mult(mult(mult(mult(a, mult(a, a)), b), c), b) = mult(mult(a, mult(a, a)), mult(mult(b, c), b))),
% 4.76/4.93 inference(unit_resolution,[status(thm)],[5820, 860])).
% 4.76/4.93 tff(5822,plain,
% 4.76/4.93 (mult(mult(a, mult(a, a)), mult(mult(b, c), b)) = mult(mult(mult(mult(a, mult(a, a)), b), c), b)),
% 4.76/4.93 inference(symmetry,[status(thm)],[5821])).
% 4.76/4.93 tff(5823,plain,
% 4.76/4.93 (mult(mult(a, mult(a, a)), mult(mult(b, c), b)) = mult(a, mult(mult(mult(a, mult(c, b)), a), b))),
% 4.76/4.93 inference(transitivity,[status(thm)],[5822, 5819, 5684, 5335, 5333, 5302])).
% 4.76/4.93 tff(5824,plain,
% 4.76/4.93 (mult(mult(a, mult(a, a)), mult(b, c)) = mult(mult(mult(a, a), a), mult(b, c))),
% 4.76/4.93 inference(monotonicity,[status(thm)],[5709])).
% 4.76/4.93 tff(5825,plain,
% 4.76/4.93 (mult(mult(mult(a, a), a), mult(b, c)) = mult(mult(a, mult(a, a)), mult(b, c))),
% 4.76/4.93 inference(symmetry,[status(thm)],[5824])).
% 4.76/4.93 tff(5826,plain,
% 4.76/4.93 ((mult(a, mult(mult(c, mult(a, b)), a)) = mult(mult(a, a), mult(c, mult(a, b)))) <=> (mult(mult(a, a), mult(c, mult(a, b))) = mult(a, mult(mult(c, mult(a, b)), a)))),
% 4.76/4.93 inference(commutativity,[status(thm)],[])).
% 4.76/4.94 tff(5827,plain,
% 4.76/4.94 (mult(mult(a, a), mult(c, mult(a, b))) = mult(mult(a, a), mult(mult(c, b), a))),
% 4.76/4.94 inference(monotonicity,[status(thm)],[5291])).
% 4.76/4.94 tff(5828,plain,
% 4.76/4.94 (mult(mult(a, a), mult(mult(c, b), a)) = mult(mult(a, a), mult(c, mult(a, b)))),
% 4.76/4.94 inference(symmetry,[status(thm)],[5827])).
% 4.76/4.94 tff(5829,plain,
% 4.76/4.94 (mult(a, mult(c, mult(a, b))) = mult(a, mult(mult(a, c), b))),
% 4.76/4.94 inference(transitivity,[status(thm)],[5292, 4822, 609, 5305, 5491])).
% 4.76/4.94 tff(5830,plain,
% 4.76/4.94 (ld(a, mult(a, mult(c, mult(a, b)))) = ld(a, mult(a, mult(mult(a, c), b)))),
% 4.76/4.94 inference(monotonicity,[status(thm)],[5829])).
% 4.76/4.94 tff(5831,plain,
% 4.76/4.94 (ld(a, mult(a, mult(mult(a, c), b))) = ld(a, mult(a, mult(c, mult(a, b))))),
% 4.76/4.94 inference(symmetry,[status(thm)],[5830])).
% 4.76/4.94 tff(5832,plain,
% 4.76/4.94 (mult(mult(a, c), b) = mult(mult(c, b), a)),
% 4.76/4.94 inference(transitivity,[status(thm)],[2213, 5831, 667, 5291])).
% 4.76/4.94 tff(5833,plain,
% 4.76/4.94 (mult(mult(a, a), mult(mult(a, c), b)) = mult(mult(a, a), mult(mult(c, b), a))),
% 4.76/4.94 inference(monotonicity,[status(thm)],[5832])).
% 4.76/4.94 tff(5834,plain,
% 4.76/4.94 (mult(mult(a, a), mult(a, mult(b, c))) = mult(mult(a, a), mult(mult(a, c), b))),
% 4.76/4.94 inference(monotonicity,[status(thm)],[606])).
% 4.76/4.94 tff(5835,plain,
% 4.76/4.94 (mult(mult(a, a), mult(a, mult(b, c))) = mult(mult(a, a), mult(c, mult(a, b)))),
% 4.76/4.94 inference(transitivity,[status(thm)],[5834, 5833, 5828])).
% 4.76/4.94 tff(5836,plain,
% 4.76/4.94 (mult(c, mult(a, b)) = mult(mult(a, c), b)),
% 4.76/4.94 inference(transitivity,[status(thm)],[668, 5830, 2212])).
% 4.76/4.94 tff(5837,plain,
% 4.76/4.94 (mult(mult(c, mult(a, b)), a) = mult(mult(mult(a, c), b), a)),
% 4.76/4.94 inference(monotonicity,[status(thm)],[5836])).
% 4.76/4.94 tff(5838,plain,
% 4.76/4.94 (mult(mult(c, mult(a, b)), a) = mult(mult(a, c), mult(a, b))),
% 4.76/4.94 inference(transitivity,[status(thm)],[5837, 971])).
% 4.76/4.94 tff(5839,plain,
% 4.76/4.94 (mult(a, mult(mult(c, mult(a, b)), a)) = mult(a, mult(mult(a, c), mult(a, b)))),
% 4.76/4.94 inference(monotonicity,[status(thm)],[5838])).
% 4.76/4.94 tff(5840,plain,
% 4.76/4.94 (mult(a, mult(mult(a, c), mult(a, b))) = mult(a, mult(mult(c, mult(a, b)), a))),
% 4.76/4.94 inference(symmetry,[status(thm)],[5839])).
% 4.76/4.94 tff(5841,plain,
% 4.76/4.94 (mult(mult(mult(a, a), mult(b, c)), a) = mult(a, mult(mult(c, mult(a, b)), a))),
% 4.76/4.94 inference(transitivity,[status(thm)],[5500, 5692, 5840])).
% 4.76/4.94 tff(5842,plain,
% 4.76/4.94 ((mult(mult(mult(a, a), mult(b, c)), a) = mult(mult(a, a), mult(a, mult(b, c)))) <=> (mult(a, mult(mult(c, mult(a, b)), a)) = mult(mult(a, a), mult(c, mult(a, b))))),
% 4.76/4.94 inference(monotonicity,[status(thm)],[5841, 5835])).
% 4.76/4.94 tff(5843,plain,
% 4.76/4.94 ((mult(mult(mult(a, a), mult(b, c)), a) = mult(mult(a, a), mult(a, mult(b, c)))) <=> (mult(mult(a, a), mult(c, mult(a, b))) = mult(a, mult(mult(c, mult(a, b)), a)))),
% 4.76/4.94 inference(transitivity,[status(thm)],[5842, 5826])).
% 4.76/4.94 tff(5844,plain,
% 4.76/4.94 ((mult(mult(a, a), mult(c, mult(a, b))) = mult(a, mult(mult(c, mult(a, b)), a))) <=> (mult(mult(mult(a, a), mult(b, c)), a) = mult(mult(a, a), mult(a, mult(b, c))))),
% 4.76/4.94 inference(symmetry,[status(thm)],[5843])).
% 4.76/4.94 tff(5845,plain,
% 4.76/4.94 (mult(a, mult(mult(c, mult(a, b)), a)) = mult(mult(a, a), mult(a, mult(c, b)))),
% 4.76/4.94 inference(transitivity,[status(thm)],[5839, 5470, 5468])).
% 4.76/4.94 tff(5846,plain,
% 4.76/4.94 (mult(mult(a, a), mult(mult(c, b), a)) = mult(mult(mult(a, a), mult(c, b)), a)),
% 4.76/4.94 inference(symmetry,[status(thm)],[5464])).
% 4.76/4.94 tff(5847,plain,
% 4.76/4.94 (mult(mult(a, a), mult(c, mult(a, b))) = mult(a, mult(mult(a, mult(c, b)), a))),
% 4.76/4.94 inference(transitivity,[status(thm)],[5827, 5846, 4757])).
% 4.76/4.94 tff(5848,plain,
% 4.76/4.94 ((mult(mult(a, a), mult(c, mult(a, b))) = mult(a, mult(mult(c, mult(a, b)), a))) <=> (mult(a, mult(mult(a, mult(c, b)), a)) = mult(mult(a, a), mult(a, mult(c, b))))),
% 4.76/4.94 inference(monotonicity,[status(thm)],[5847, 5845])).
% 4.76/4.94 tff(5849,plain,
% 4.76/4.94 ((mult(mult(a, a), mult(c, mult(a, b))) = mult(a, mult(mult(c, mult(a, b)), a))) <=> (mult(mult(a, a), mult(a, mult(c, b))) = mult(a, mult(mult(a, mult(c, b)), a)))),
% 4.76/4.94 inference(transitivity,[status(thm)],[5848, 5438])).
% 4.76/4.94 tff(5850,plain,
% 4.76/4.94 ((mult(mult(a, a), mult(a, mult(c, b))) = mult(a, mult(mult(a, mult(c, b)), a))) <=> (mult(mult(a, a), mult(c, mult(a, b))) = mult(a, mult(mult(c, mult(a, b)), a)))),
% 4.76/4.94 inference(symmetry,[status(thm)],[5849])).
% 4.76/4.94 tff(5851,plain,
% 4.76/4.94 ((mult(mult(a, a), mult(a, mult(c, b))) = mult(a, mult(mult(a, mult(c, b)), a))) <=> (mult(mult(mult(a, a), mult(b, c)), a) = mult(mult(a, a), mult(a, mult(b, c))))),
% 4.76/4.94 inference(transitivity,[status(thm)],[5850, 5844])).
% 4.76/4.94 tff(5852,plain,
% 4.76/4.94 ((~(mult(mult(a, a), mult(a, mult(c, b))) = mult(a, mult(mult(a, mult(c, b)), a)))) <=> (~(mult(mult(mult(a, a), mult(b, c)), a) = mult(mult(a, a), mult(a, mult(b, c)))))),
% 4.76/4.94 inference(monotonicity,[status(thm)],[5851])).
% 4.76/4.94 tff(5853,plain,
% 4.76/4.94 (~(mult(mult(mult(a, a), mult(b, c)), a) = mult(mult(a, a), mult(a, mult(b, c))))),
% 4.76/4.94 inference(modus_ponens,[status(thm)],[5490, 5852])).
% 4.76/4.94 tff(5854,plain,
% 4.76/4.94 (((~(mult(mult(mult(a, a), mult(b, c)), a) = mult(mult(a, a), mult(a, mult(b, c))))) | (~(mult(mult(mult(a, a), a), mult(b, c)) = mult(mult(a, a), mult(mult(b, c), a))))) | (mult(mult(mult(a, a), mult(b, c)), a) = mult(mult(a, a), mult(a, mult(b, c))))),
% 4.76/4.94 inference(tautology,[status(thm)],[])).
% 4.76/4.94 tff(5855,plain,
% 4.76/4.94 ((~(mult(mult(mult(a, a), mult(b, c)), a) = mult(mult(a, a), mult(a, mult(b, c))))) | (~(mult(mult(mult(a, a), a), mult(b, c)) = mult(mult(a, a), mult(mult(b, c), a))))),
% 4.76/4.94 inference(unit_resolution,[status(thm)],[5854, 5853])).
% 4.76/4.94 tff(5856,plain,
% 4.76/4.94 (((~![X0: $i, X1: $i, X2: $i] : ((~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X2, X1)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X1, X2)))))) | (~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X1, X2)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X2, X1)))))))) | ((~((~(mult(mult(mult(a, a), a), mult(b, c)) = mult(mult(a, a), mult(a, mult(b, c))))) | (~(mult(mult(mult(a, a), mult(b, c)), a) = mult(mult(a, a), mult(mult(b, c), a)))))) | (~((~(mult(mult(mult(a, a), mult(b, c)), a) = mult(mult(a, a), mult(a, mult(b, c))))) | (~(mult(mult(mult(a, a), a), mult(b, c)) = mult(mult(a, a), mult(mult(b, c), a)))))))) <=> ((~![X0: $i, X1: $i, X2: $i] : ((~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X2, X1)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X1, X2)))))) | (~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X1, X2)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X2, X1)))))))) | (~((~(mult(mult(mult(a, a), a), mult(b, c)) = mult(mult(a, a), mult(a, mult(b, c))))) | (~(mult(mult(mult(a, a), mult(b, c)), a) = mult(mult(a, a), mult(mult(b, c), a)))))) | (~((~(mult(mult(mult(a, a), mult(b, c)), a) = mult(mult(a, a), mult(a, mult(b, c))))) | (~(mult(mult(mult(a, a), a), mult(b, c)) = mult(mult(a, a), mult(mult(b, c), a)))))))),
% 4.76/4.94 inference(rewrite,[status(thm)],[])).
% 4.76/4.94 tff(5857,plain,
% 4.76/4.94 (((~((~(mult(mult(mult(a, a), mult(b, c)), a) = mult(mult(a, a), mult(a, mult(b, c))))) | (~(mult(mult(mult(a, a), a), mult(b, c)) = mult(mult(a, a), mult(mult(b, c), a)))))) | (~((~(mult(mult(mult(a, a), a), mult(b, c)) = mult(mult(a, a), mult(a, mult(b, c))))) | (~(mult(mult(mult(a, a), mult(b, c)), a) = mult(mult(a, a), mult(mult(b, c), a))))))) <=> ((~((~(mult(mult(mult(a, a), a), mult(b, c)) = mult(mult(a, a), mult(a, mult(b, c))))) | (~(mult(mult(mult(a, a), mult(b, c)), a) = mult(mult(a, a), mult(mult(b, c), a)))))) | (~((~(mult(mult(mult(a, a), mult(b, c)), a) = mult(mult(a, a), mult(a, mult(b, c))))) | (~(mult(mult(mult(a, a), a), mult(b, c)) = mult(mult(a, a), mult(mult(b, c), a)))))))),
% 4.76/4.94 inference(rewrite,[status(thm)],[])).
% 4.76/4.94 tff(5858,plain,
% 4.76/4.94 ((~((~(mult(mult(mult(a, a), mult(b, c)), a) = mult(mult(a, a), mult(mult(b, c), a)))) | (~(mult(mult(mult(a, a), a), mult(b, c)) = mult(mult(a, a), mult(a, mult(b, c))))))) <=> (~((~(mult(mult(mult(a, a), a), mult(b, c)) = mult(mult(a, a), mult(a, mult(b, c))))) | (~(mult(mult(mult(a, a), mult(b, c)), a) = mult(mult(a, a), mult(mult(b, c), a))))))),
% 4.76/4.94 inference(rewrite,[status(thm)],[])).
% 4.76/4.94 tff(5859,plain,
% 4.76/4.94 ((~((~(mult(mult(mult(a, a), mult(b, c)), a) = mult(mult(a, a), mult(a, mult(b, c))))) | (~(mult(mult(mult(a, a), a), mult(b, c)) = mult(mult(a, a), mult(mult(b, c), a)))))) <=> (~((~(mult(mult(mult(a, a), mult(b, c)), a) = mult(mult(a, a), mult(a, mult(b, c))))) | (~(mult(mult(mult(a, a), a), mult(b, c)) = mult(mult(a, a), mult(mult(b, c), a))))))),
% 4.76/4.94 inference(rewrite,[status(thm)],[])).
% 4.76/4.94 tff(5860,plain,
% 4.76/4.94 (((~((~(mult(mult(mult(a, a), mult(b, c)), a) = mult(mult(a, a), mult(a, mult(b, c))))) | (~(mult(mult(mult(a, a), a), mult(b, c)) = mult(mult(a, a), mult(mult(b, c), a)))))) | (~((~(mult(mult(mult(a, a), mult(b, c)), a) = mult(mult(a, a), mult(mult(b, c), a)))) | (~(mult(mult(mult(a, a), a), mult(b, c)) = mult(mult(a, a), mult(a, mult(b, c)))))))) <=> ((~((~(mult(mult(mult(a, a), mult(b, c)), a) = mult(mult(a, a), mult(a, mult(b, c))))) | (~(mult(mult(mult(a, a), a), mult(b, c)) = mult(mult(a, a), mult(mult(b, c), a)))))) | (~((~(mult(mult(mult(a, a), a), mult(b, c)) = mult(mult(a, a), mult(a, mult(b, c))))) | (~(mult(mult(mult(a, a), mult(b, c)), a) = mult(mult(a, a), mult(mult(b, c), a)))))))),
% 4.76/4.94 inference(monotonicity,[status(thm)],[5859, 5858])).
% 4.76/4.94 tff(5861,plain,
% 4.76/4.94 (((~((~(mult(mult(mult(a, a), mult(b, c)), a) = mult(mult(a, a), mult(a, mult(b, c))))) | (~(mult(mult(mult(a, a), a), mult(b, c)) = mult(mult(a, a), mult(mult(b, c), a)))))) | (~((~(mult(mult(mult(a, a), mult(b, c)), a) = mult(mult(a, a), mult(mult(b, c), a)))) | (~(mult(mult(mult(a, a), a), mult(b, c)) = mult(mult(a, a), mult(a, mult(b, c)))))))) <=> ((~((~(mult(mult(mult(a, a), a), mult(b, c)) = mult(mult(a, a), mult(a, mult(b, c))))) | (~(mult(mult(mult(a, a), mult(b, c)), a) = mult(mult(a, a), mult(mult(b, c), a)))))) | (~((~(mult(mult(mult(a, a), mult(b, c)), a) = mult(mult(a, a), mult(a, mult(b, c))))) | (~(mult(mult(mult(a, a), a), mult(b, c)) = mult(mult(a, a), mult(mult(b, c), a)))))))),
% 4.76/4.94 inference(transitivity,[status(thm)],[5860, 5857])).
% 4.76/4.94 tff(5862,plain,
% 4.76/4.94 (((~![X0: $i, X1: $i, X2: $i] : ((~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X2, X1)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X1, X2)))))) | (~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X1, X2)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X2, X1)))))))) | ((~((~(mult(mult(mult(a, a), mult(b, c)), a) = mult(mult(a, a), mult(a, mult(b, c))))) | (~(mult(mult(mult(a, a), a), mult(b, c)) = mult(mult(a, a), mult(mult(b, c), a)))))) | (~((~(mult(mult(mult(a, a), mult(b, c)), a) = mult(mult(a, a), mult(mult(b, c), a)))) | (~(mult(mult(mult(a, a), a), mult(b, c)) = mult(mult(a, a), mult(a, mult(b, c))))))))) <=> ((~![X0: $i, X1: $i, X2: $i] : ((~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X2, X1)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X1, X2)))))) | (~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X1, X2)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X2, X1)))))))) | ((~((~(mult(mult(mult(a, a), a), mult(b, c)) = mult(mult(a, a), mult(a, mult(b, c))))) | (~(mult(mult(mult(a, a), mult(b, c)), a) = mult(mult(a, a), mult(mult(b, c), a)))))) | (~((~(mult(mult(mult(a, a), mult(b, c)), a) = mult(mult(a, a), mult(a, mult(b, c))))) | (~(mult(mult(mult(a, a), a), mult(b, c)) = mult(mult(a, a), mult(mult(b, c), a))))))))),
% 4.76/4.94 inference(monotonicity,[status(thm)],[5861])).
% 4.76/4.94 tff(5863,plain,
% 4.76/4.94 (((~![X0: $i, X1: $i, X2: $i] : ((~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X2, X1)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X1, X2)))))) | (~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X1, X2)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X2, X1)))))))) | ((~((~(mult(mult(mult(a, a), mult(b, c)), a) = mult(mult(a, a), mult(a, mult(b, c))))) | (~(mult(mult(mult(a, a), a), mult(b, c)) = mult(mult(a, a), mult(mult(b, c), a)))))) | (~((~(mult(mult(mult(a, a), mult(b, c)), a) = mult(mult(a, a), mult(mult(b, c), a)))) | (~(mult(mult(mult(a, a), a), mult(b, c)) = mult(mult(a, a), mult(a, mult(b, c))))))))) <=> ((~![X0: $i, X1: $i, X2: $i] : ((~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X2, X1)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X1, X2)))))) | (~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X1, X2)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X2, X1)))))))) | (~((~(mult(mult(mult(a, a), a), mult(b, c)) = mult(mult(a, a), mult(a, mult(b, c))))) | (~(mult(mult(mult(a, a), mult(b, c)), a) = mult(mult(a, a), mult(mult(b, c), a)))))) | (~((~(mult(mult(mult(a, a), mult(b, c)), a) = mult(mult(a, a), mult(a, mult(b, c))))) | (~(mult(mult(mult(a, a), a), mult(b, c)) = mult(mult(a, a), mult(mult(b, c), a)))))))),
% 4.76/4.94 inference(transitivity,[status(thm)],[5862, 5856])).
% 4.76/4.94 tff(5864,plain,
% 4.76/4.94 ((~![X0: $i, X1: $i, X2: $i] : ((~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X2, X1)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X1, X2)))))) | (~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X1, X2)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X2, X1)))))))) | ((~((~(mult(mult(mult(a, a), mult(b, c)), a) = mult(mult(a, a), mult(a, mult(b, c))))) | (~(mult(mult(mult(a, a), a), mult(b, c)) = mult(mult(a, a), mult(mult(b, c), a)))))) | (~((~(mult(mult(mult(a, a), mult(b, c)), a) = mult(mult(a, a), mult(mult(b, c), a)))) | (~(mult(mult(mult(a, a), a), mult(b, c)) = mult(mult(a, a), mult(a, mult(b, c))))))))),
% 4.76/4.94 inference(quant_inst,[status(thm)],[])).
% 4.76/4.94 tff(5865,plain,
% 4.76/4.94 ((~![X0: $i, X1: $i, X2: $i] : ((~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X2, X1)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X1, X2)))))) | (~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X1, X2)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X2, X1)))))))) | (~((~(mult(mult(mult(a, a), a), mult(b, c)) = mult(mult(a, a), mult(a, mult(b, c))))) | (~(mult(mult(mult(a, a), mult(b, c)), a) = mult(mult(a, a), mult(mult(b, c), a)))))) | (~((~(mult(mult(mult(a, a), mult(b, c)), a) = mult(mult(a, a), mult(a, mult(b, c))))) | (~(mult(mult(mult(a, a), a), mult(b, c)) = mult(mult(a, a), mult(mult(b, c), a))))))),
% 4.76/4.94 inference(modus_ponens,[status(thm)],[5864, 5863])).
% 4.76/4.94 tff(5866,plain,
% 4.76/4.94 ((~((~(mult(mult(mult(a, a), a), mult(b, c)) = mult(mult(a, a), mult(a, mult(b, c))))) | (~(mult(mult(mult(a, a), mult(b, c)), a) = mult(mult(a, a), mult(mult(b, c), a)))))) | (~((~(mult(mult(mult(a, a), mult(b, c)), a) = mult(mult(a, a), mult(a, mult(b, c))))) | (~(mult(mult(mult(a, a), a), mult(b, c)) = mult(mult(a, a), mult(mult(b, c), a))))))),
% 4.76/4.94 inference(unit_resolution,[status(thm)],[5865, 30])).
% 4.76/4.94 tff(5867,plain,
% 4.76/4.94 (~((~(mult(mult(mult(a, a), a), mult(b, c)) = mult(mult(a, a), mult(a, mult(b, c))))) | (~(mult(mult(mult(a, a), mult(b, c)), a) = mult(mult(a, a), mult(mult(b, c), a)))))),
% 4.76/4.94 inference(unit_resolution,[status(thm)],[5866, 5855])).
% 4.76/4.94 tff(5868,plain,
% 4.76/4.94 (((~(mult(mult(mult(a, a), a), mult(b, c)) = mult(mult(a, a), mult(a, mult(b, c))))) | (~(mult(mult(mult(a, a), mult(b, c)), a) = mult(mult(a, a), mult(mult(b, c), a))))) | (mult(mult(mult(a, a), a), mult(b, c)) = mult(mult(a, a), mult(a, mult(b, c))))),
% 4.76/4.94 inference(tautology,[status(thm)],[])).
% 4.76/4.94 tff(5869,plain,
% 4.76/4.94 (mult(mult(mult(a, a), a), mult(b, c)) = mult(mult(a, a), mult(a, mult(b, c)))),
% 4.76/4.94 inference(unit_resolution,[status(thm)],[5868, 5867])).
% 4.76/4.94 tff(5870,plain,
% 4.76/4.94 (mult(mult(a, a), mult(a, mult(b, c))) = mult(mult(mult(a, a), a), mult(b, c))),
% 4.76/4.94 inference(symmetry,[status(thm)],[5869])).
% 4.76/4.94 tff(5871,plain,
% 4.76/4.94 (mult(mult(a, a), mult(mult(a, c), b)) = mult(mult(a, a), mult(a, mult(b, c)))),
% 4.76/4.94 inference(symmetry,[status(thm)],[5834])).
% 4.76/4.94 tff(5872,plain,
% 4.76/4.94 (mult(mult(a, a), mult(mult(c, b), a)) = mult(mult(a, a), mult(mult(a, c), b))),
% 4.76/4.94 inference(symmetry,[status(thm)],[5833])).
% 4.76/4.94 tff(5873,plain,
% 4.76/4.94 (mult(a, mult(mult(a, mult(c, b)), a)) = mult(mult(mult(a, a), mult(c, b)), a)),
% 4.76/4.94 inference(symmetry,[status(thm)],[4757])).
% 4.76/4.94 tff(5874,plain,
% 4.76/4.94 (mult(a, mult(mult(a, mult(c, b)), a)) = mult(mult(a, mult(a, a)), mult(b, c))),
% 4.76/4.94 inference(transitivity,[status(thm)],[5873, 5464, 5872, 5871, 5870, 5825])).
% 4.76/4.94 tff(5875,plain,
% 4.76/4.94 (mult(mult(a, mult(mult(a, mult(c, b)), a)), b) = mult(mult(mult(a, mult(a, a)), mult(b, c)), b)),
% 4.76/4.94 inference(monotonicity,[status(thm)],[5874])).
% 4.76/4.94 tff(5876,plain,
% 4.76/4.94 (mult(mult(mult(a, mult(a, a)), mult(b, c)), b) = mult(mult(a, mult(mult(a, mult(c, b)), a)), b)),
% 4.76/4.94 inference(symmetry,[status(thm)],[5875])).
% 4.76/4.94 tff(5877,plain,
% 4.76/4.94 ((mult(mult(mult(a, mult(a, a)), mult(b, c)), b) = mult(mult(a, mult(a, a)), mult(mult(b, c), b))) <=> (mult(mult(a, mult(mult(a, mult(c, b)), a)), b) = mult(a, mult(mult(mult(a, mult(c, b)), a), b)))),
% 4.76/4.94 inference(monotonicity,[status(thm)],[5876, 5823])).
% 4.76/4.94 tff(5878,plain,
% 4.76/4.94 ((~(mult(mult(mult(a, mult(a, a)), mult(b, c)), b) = mult(mult(a, mult(a, a)), mult(mult(b, c), b)))) <=> (~(mult(mult(a, mult(mult(a, mult(c, b)), a)), b) = mult(a, mult(mult(mult(a, mult(c, b)), a), b))))),
% 4.76/4.95 inference(monotonicity,[status(thm)],[5877])).
% 4.76/4.95 tff(5879,plain,
% 4.76/4.95 ((~(mult(mult(a, mult(a, mult(c, b))), a) = mult(a, mult(a, mult(a, mult(c, b)))))) <=> (~(mult(mult(a, mult(mult(b, c), a)), a) = mult(a, mult(a, mult(mult(b, c), a)))))),
% 4.76/4.95 inference(monotonicity,[status(thm)],[5487])).
% 4.76/4.95 tff(5880,plain,
% 4.76/4.95 (~(mult(mult(a, mult(mult(b, c), a)), a) = mult(a, mult(a, mult(mult(b, c), a))))),
% 4.76/4.95 inference(modus_ponens,[status(thm)],[5423, 5879])).
% 4.76/4.95 tff(5881,plain,
% 4.76/4.95 (mult(mult(a, a), mult(b, c)) = mult(a, mult(mult(a, c), b))),
% 4.76/4.95 inference(transitivity,[status(thm)],[5492, 5686])).
% 4.76/4.95 tff(5882,plain,
% 4.76/4.95 (mult(mult(mult(a, a), b), c) = mult(mult(a, b), mult(a, c))),
% 4.76/4.95 inference(transitivity,[status(thm)],[5347, 4709, 5292, 4822, 609, 5305])).
% 4.76/4.95 tff(5883,plain,
% 4.76/4.95 ((mult(mult(mult(a, a), b), c) = mult(mult(a, a), mult(b, c))) <=> (mult(mult(a, b), mult(a, c)) = mult(a, mult(mult(a, c), b)))),
% 4.76/4.95 inference(monotonicity,[status(thm)],[5882, 5881])).
% 4.76/4.95 tff(5884,plain,
% 4.76/4.95 ((mult(mult(a, b), mult(a, c)) = mult(a, mult(mult(a, c), b))) <=> (mult(mult(mult(a, a), b), c) = mult(mult(a, a), mult(b, c)))),
% 4.76/4.95 inference(symmetry,[status(thm)],[5883])).
% 4.76/4.95 tff(5885,plain,
% 4.76/4.95 (mult(mult(mult(a, a), b), c) = mult(mult(a, a), mult(b, c))),
% 4.76/4.95 inference(modus_ponens,[status(thm)],[5491, 5884])).
% 4.76/4.95 tff(5886,plain,
% 4.76/4.95 ((~![B: $i, A: $i] : (rd(mult(A, B), B) = A)) | (rd(mult(mult(a, mult(mult(a, c), mult(a, b))), b), b) = mult(a, mult(mult(a, c), mult(a, b))))),
% 4.76/4.95 inference(quant_inst,[status(thm)],[])).
% 4.76/4.95 tff(5887,plain,
% 4.76/4.95 (rd(mult(mult(a, mult(mult(a, c), mult(a, b))), b), b) = mult(a, mult(mult(a, c), mult(a, b)))),
% 4.76/4.95 inference(unit_resolution,[status(thm)],[5886, 72])).
% 4.76/4.95 tff(5888,plain,
% 4.76/4.95 (mult(mult(mult(a, b), c), a) = mult(mult(a, a), mult(b, c))),
% 4.76/4.95 inference(transitivity,[status(thm)],[107, 707, 2197, 270, 2630, 2629])).
% 4.76/4.95 tff(5889,plain,
% 4.76/4.95 (mult(mult(mult(mult(a, b), c), a), a) = mult(mult(mult(a, a), mult(b, c)), a)),
% 4.76/4.95 inference(monotonicity,[status(thm)],[5888])).
% 4.76/4.95 tff(5890,plain,
% 4.76/4.95 (mult(mult(mult(a, a), mult(b, c)), a) = mult(mult(mult(mult(a, b), c), a), a)),
% 4.76/4.95 inference(symmetry,[status(thm)],[5889])).
% 4.76/4.95 tff(5891,plain,
% 4.76/4.95 (mult(a, mult(mult(a, c), mult(a, b))) = mult(a, mult(mult(a, mult(b, c)), a))),
% 4.76/4.95 inference(symmetry,[status(thm)],[5498])).
% 4.76/4.95 tff(5892,plain,
% 4.76/4.95 (mult(a, mult(mult(a, c), mult(a, b))) = mult(mult(mult(mult(a, b), c), a), a)),
% 4.76/4.95 inference(transitivity,[status(thm)],[5891, 5637, 5890])).
% 4.76/4.95 tff(5893,plain,
% 4.76/4.95 (mult(mult(a, mult(mult(a, c), mult(a, b))), b) = mult(mult(mult(mult(mult(a, b), c), a), a), b)),
% 4.76/4.95 inference(monotonicity,[status(thm)],[5892])).
% 4.76/4.95 tff(5894,plain,
% 4.76/4.95 (mult(mult(mult(mult(mult(a, b), c), a), a), b) = mult(mult(a, mult(mult(a, c), mult(a, b))), b)),
% 4.76/4.95 inference(symmetry,[status(thm)],[5893])).
% 4.76/4.95 tff(5895,plain,
% 4.76/4.95 (mult(a, mult(a, mult(c, b))) = mult(mult(a, c), mult(a, b))),
% 4.76/4.95 inference(transitivity,[status(thm)],[111, 948])).
% 4.76/4.95 tff(5896,plain,
% 4.76/4.95 (mult(a, mult(a, mult(a, mult(c, b)))) = mult(a, mult(mult(a, c), mult(a, b)))),
% 4.76/4.95 inference(monotonicity,[status(thm)],[5895])).
% 4.76/4.95 tff(5897,plain,
% 4.76/4.95 ((mult(mult(a, a), mult(a, mult(c, b))) = mult(a, mult(mult(a, mult(c, b)), a))) <=> (mult(mult(mult(a, a), mult(c, b)), a) = mult(mult(a, a), mult(a, mult(c, b))))),
% 4.76/4.95 inference(symmetry,[status(thm)],[5449])).
% 4.76/4.95 tff(5898,plain,
% 4.76/4.95 ((mult(a, mult(a, mult(mult(b, c), a))) = mult(mult(a, mult(mult(b, c), a)), a)) <=> (mult(mult(a, mult(mult(b, c), a)), a) = mult(a, mult(a, mult(mult(b, c), a))))),
% 4.76/4.95 inference(commutativity,[status(thm)],[])).
% 4.76/4.95 tff(5899,plain,
% 4.76/4.95 (mult(a, mult(a, mult(c, b))) = mult(mult(a, a), mult(c, b))),
% 4.76/4.95 inference(symmetry,[status(thm)],[1581])).
% 4.76/4.95 tff(5900,plain,
% 4.76/4.95 (mult(mult(a, c), mult(a, b)) = mult(mult(a, a), mult(c, b))),
% 4.76/4.95 inference(transitivity,[status(thm)],[593, 112, 5899])).
% 4.76/4.95 tff(5901,plain,
% 4.76/4.95 (mult(mult(mult(a, c), mult(a, b)), a) = mult(mult(mult(a, a), mult(c, b)), a)),
% 4.76/4.95 inference(monotonicity,[status(thm)],[5900])).
% 4.76/4.95 tff(5902,plain,
% 4.76/4.95 (mult(mult(mult(a, a), mult(c, b)), a) = mult(mult(mult(a, c), mult(a, b)), a)),
% 4.76/4.95 inference(symmetry,[status(thm)],[5901])).
% 4.76/4.95 tff(5903,plain,
% 4.76/4.95 (mult(a, mult(mult(a, mult(c, b)), a)) = mult(mult(a, mult(mult(b, c), a)), a)),
% 4.76/4.95 inference(transitivity,[status(thm)],[5873, 5902, 5432])).
% 4.76/4.95 tff(5904,plain,
% 4.76/4.95 (mult(mult(a, a), mult(a, mult(c, b))) = mult(a, mult(a, mult(mult(b, c), a)))),
% 4.76/4.95 inference(transitivity,[status(thm)],[5509, 5896, 5426])).
% 4.76/4.95 tff(5905,plain,
% 4.76/4.95 ((mult(mult(a, a), mult(a, mult(c, b))) = mult(a, mult(mult(a, mult(c, b)), a))) <=> (mult(a, mult(a, mult(mult(b, c), a))) = mult(mult(a, mult(mult(b, c), a)), a))),
% 4.76/4.95 inference(monotonicity,[status(thm)],[5904, 5903])).
% 4.76/4.95 tff(5906,plain,
% 4.76/4.95 ((mult(mult(a, a), mult(a, mult(c, b))) = mult(a, mult(mult(a, mult(c, b)), a))) <=> (mult(mult(a, mult(mult(b, c), a)), a) = mult(a, mult(a, mult(mult(b, c), a))))),
% 4.76/4.95 inference(transitivity,[status(thm)],[5905, 5898])).
% 4.76/4.95 tff(5907,plain,
% 4.76/4.95 ((mult(mult(a, mult(mult(b, c), a)), a) = mult(a, mult(a, mult(mult(b, c), a)))) <=> (mult(mult(a, a), mult(a, mult(c, b))) = mult(a, mult(mult(a, mult(c, b)), a)))),
% 4.76/4.95 inference(symmetry,[status(thm)],[5906])).
% 4.76/4.95 tff(5908,plain,
% 4.76/4.95 ((mult(mult(a, mult(mult(b, c), a)), a) = mult(a, mult(a, mult(mult(b, c), a)))) <=> (mult(mult(mult(a, a), mult(c, b)), a) = mult(mult(a, a), mult(a, mult(c, b))))),
% 4.76/4.95 inference(transitivity,[status(thm)],[5907, 5897])).
% 4.76/4.95 tff(5909,plain,
% 4.76/4.95 ((~(mult(mult(a, mult(mult(b, c), a)), a) = mult(a, mult(a, mult(mult(b, c), a))))) <=> (~(mult(mult(mult(a, a), mult(c, b)), a) = mult(mult(a, a), mult(a, mult(c, b)))))),
% 4.76/4.95 inference(monotonicity,[status(thm)],[5908])).
% 4.76/4.95 tff(5910,assumption,(~(mult(mult(a, mult(mult(b, c), a)), a) = mult(a, mult(a, mult(mult(b, c), a))))), introduced(assumption)).
% 4.76/4.95 tff(5911,plain,
% 4.76/4.95 (~(mult(mult(mult(a, a), mult(c, b)), a) = mult(mult(a, a), mult(a, mult(c, b))))),
% 4.76/4.95 inference(modus_ponens,[status(thm)],[5910, 5909])).
% 4.76/4.95 tff(5912,plain,
% 4.76/4.95 ((~(mult(mult(mult(a, a), a), mult(c, b)) = mult(mult(a, a), mult(mult(c, b), a)))) | (~(mult(mult(mult(a, a), mult(c, b)), a) = mult(mult(a, a), mult(a, mult(c, b)))))),
% 4.76/4.95 inference(unit_resolution,[status(thm)],[5456, 5911])).
% 4.76/4.95 tff(5913,plain,
% 4.76/4.95 (~((~(mult(mult(mult(a, a), a), mult(c, b)) = mult(mult(a, a), mult(a, mult(c, b))))) | (~(mult(mult(mult(a, a), mult(c, b)), a) = mult(mult(a, a), mult(mult(c, b), a)))))),
% 4.76/4.95 inference(unit_resolution,[status(thm)],[5461, 5912])).
% 4.76/4.95 tff(5914,plain,
% 4.76/4.95 (mult(mult(mult(a, a), a), mult(c, b)) = mult(mult(a, a), mult(a, mult(c, b)))),
% 4.76/4.95 inference(unit_resolution,[status(thm)],[5694, 5913])).
% 4.76/4.95 tff(5915,assumption,(mult(mult(mult(a, mult(a, a)), b), c) = mult(mult(a, mult(a, a)), mult(c, b))), introduced(assumption)).
% 4.76/4.95 tff(5916,plain,
% 4.76/4.95 (mult(mult(mult(a, mult(a, a)), b), c) = mult(mult(mult(mult(a, b), c), a), a)),
% 4.76/4.95 inference(transitivity,[status(thm)],[5915, 5710, 5914, 5509, 5896, 5891, 5637, 5890])).
% 4.76/4.95 tff(5917,plain,
% 4.76/4.95 (mult(mult(mult(mult(a, mult(a, a)), b), c), b) = mult(mult(mult(mult(mult(a, b), c), a), a), b)),
% 4.76/4.95 inference(monotonicity,[status(thm)],[5916])).
% 4.76/4.95 tff(5918,assumption,(mult(mult(mult(a, mult(a, a)), mult(b, c)), b) = mult(mult(a, mult(a, a)), mult(mult(b, c), b))), introduced(assumption)).
% 4.76/4.95 tff(5919,plain,
% 4.76/4.95 (mult(mult(mult(a, a), mult(c, b)), a) = mult(mult(a, a), mult(mult(c, b), a))),
% 4.76/4.95 inference(unit_resolution,[status(thm)],[5463, 5913])).
% 4.76/4.95 tff(5920,plain,
% 4.76/4.95 (mult(mult(a, a), mult(mult(c, b), a)) = mult(mult(mult(a, a), mult(c, b)), a)),
% 4.76/4.95 inference(symmetry,[status(thm)],[5919])).
% 4.76/4.95 tff(5921,plain,
% 4.76/4.95 (mult(a, mult(c, mult(a, b))) = mult(a, mult(mult(a, c), b))),
% 4.76/4.95 inference(transitivity,[status(thm)],[270, 2630, 2629, 1154, 151])).
% 4.76/4.95 tff(5922,plain,
% 4.76/4.95 (ld(a, mult(a, mult(c, mult(a, b)))) = ld(a, mult(a, mult(mult(a, c), b)))),
% 4.76/4.95 inference(monotonicity,[status(thm)],[5921])).
% 4.76/4.95 tff(5923,plain,
% 4.76/4.95 (ld(a, mult(a, mult(mult(a, c), b))) = ld(a, mult(a, mult(c, mult(a, b))))),
% 4.76/4.95 inference(symmetry,[status(thm)],[5922])).
% 4.76/4.95 tff(5924,plain,
% 4.76/4.95 (mult(mult(a, c), b) = mult(mult(c, b), a)),
% 4.76/4.95 inference(transitivity,[status(thm)],[2213, 5923, 667, 1111])).
% 4.76/4.95 tff(5925,plain,
% 4.76/4.95 (mult(mult(a, a), mult(mult(a, c), b)) = mult(mult(a, a), mult(mult(c, b), a))),
% 4.76/4.95 inference(monotonicity,[status(thm)],[5924])).
% 4.76/4.95 tff(5926,plain,
% 4.76/4.95 (mult(mult(a, a), mult(a, mult(b, c))) = mult(mult(a, a), mult(mult(a, c), b))),
% 4.76/4.95 inference(monotonicity,[status(thm)],[214])).
% 4.76/4.95 tff(5927,plain,
% 4.76/4.95 (mult(mult(a, a), mult(a, mult(b, c))) = mult(mult(a, mult(mult(b, c), a)), a)),
% 4.76/4.95 inference(transitivity,[status(thm)],[5926, 5925, 5920, 5902, 5432])).
% 4.76/4.95 tff(5928,plain,
% 4.76/4.95 (mult(mult(mult(a, a), mult(b, c)), a) = mult(a, mult(a, mult(mult(b, c), a)))),
% 4.76/4.95 inference(transitivity,[status(thm)],[5500, 5498, 5426])).
% 4.76/4.95 tff(5929,plain,
% 4.76/4.95 ((mult(mult(mult(a, a), mult(b, c)), a) = mult(mult(a, a), mult(a, mult(b, c)))) <=> (mult(a, mult(a, mult(mult(b, c), a))) = mult(mult(a, mult(mult(b, c), a)), a))),
% 4.76/4.95 inference(monotonicity,[status(thm)],[5928, 5927])).
% 4.76/4.95 tff(5930,plain,
% 4.76/4.95 ((mult(mult(mult(a, a), mult(b, c)), a) = mult(mult(a, a), mult(a, mult(b, c)))) <=> (mult(mult(a, mult(mult(b, c), a)), a) = mult(a, mult(a, mult(mult(b, c), a))))),
% 4.76/4.95 inference(transitivity,[status(thm)],[5929, 5898])).
% 4.76/4.95 tff(5931,plain,
% 4.76/4.95 ((mult(mult(a, mult(mult(b, c), a)), a) = mult(a, mult(a, mult(mult(b, c), a)))) <=> (mult(mult(mult(a, a), mult(b, c)), a) = mult(mult(a, a), mult(a, mult(b, c))))),
% 4.76/4.95 inference(symmetry,[status(thm)],[5930])).
% 4.76/4.95 tff(5932,plain,
% 4.76/4.95 ((~(mult(mult(a, mult(mult(b, c), a)), a) = mult(a, mult(a, mult(mult(b, c), a))))) <=> (~(mult(mult(mult(a, a), mult(b, c)), a) = mult(mult(a, a), mult(a, mult(b, c)))))),
% 4.76/4.95 inference(monotonicity,[status(thm)],[5931])).
% 4.76/4.95 tff(5933,plain,
% 4.76/4.95 (~(mult(mult(mult(a, a), mult(b, c)), a) = mult(mult(a, a), mult(a, mult(b, c))))),
% 4.76/4.95 inference(modus_ponens,[status(thm)],[5910, 5932])).
% 4.76/4.95 tff(5934,plain,
% 4.76/4.95 ((~(mult(mult(mult(a, a), mult(b, c)), a) = mult(mult(a, a), mult(a, mult(b, c))))) | (~(mult(mult(mult(a, a), a), mult(b, c)) = mult(mult(a, a), mult(mult(b, c), a))))),
% 4.76/4.95 inference(unit_resolution,[status(thm)],[5854, 5933])).
% 4.76/4.95 tff(5935,plain,
% 4.76/4.95 (~((~(mult(mult(mult(a, a), a), mult(b, c)) = mult(mult(a, a), mult(a, mult(b, c))))) | (~(mult(mult(mult(a, a), mult(b, c)), a) = mult(mult(a, a), mult(mult(b, c), a)))))),
% 4.76/4.95 inference(unit_resolution,[status(thm)],[5866, 5934])).
% 4.76/4.95 tff(5936,plain,
% 4.76/4.95 (mult(mult(mult(a, a), a), mult(b, c)) = mult(mult(a, a), mult(a, mult(b, c)))),
% 4.76/4.95 inference(unit_resolution,[status(thm)],[5868, 5935])).
% 4.76/4.95 tff(5937,plain,
% 4.76/4.95 (mult(mult(a, a), mult(a, mult(b, c))) = mult(mult(mult(a, a), a), mult(b, c))),
% 4.76/4.95 inference(symmetry,[status(thm)],[5936])).
% 4.76/4.95 tff(5938,plain,
% 4.76/4.95 (mult(mult(a, a), mult(mult(a, c), b)) = mult(mult(a, a), mult(a, mult(b, c)))),
% 4.76/4.95 inference(symmetry,[status(thm)],[5926])).
% 4.76/4.95 tff(5939,plain,
% 4.76/4.95 (mult(mult(a, a), mult(mult(c, b), a)) = mult(mult(a, a), mult(mult(a, c), b))),
% 4.76/4.95 inference(symmetry,[status(thm)],[5925])).
% 4.76/4.95 tff(5940,plain,
% 4.76/4.95 (mult(mult(mult(a, c), mult(a, b)), a) = mult(mult(a, mult(a, a)), mult(b, c))),
% 4.76/4.95 inference(transitivity,[status(thm)],[5901, 5919, 5939, 5938, 5937, 5825])).
% 4.76/4.95 tff(5941,plain,
% 4.76/4.95 (mult(mult(mult(mult(a, c), mult(a, b)), a), b) = mult(mult(mult(a, mult(a, a)), mult(b, c)), b)),
% 4.76/4.95 inference(monotonicity,[status(thm)],[5940])).
% 4.76/4.95 tff(5942,plain,
% 4.76/4.95 (mult(a, mult(mult(a, mult(c, b)), a)) = mult(mult(mult(a, c), mult(a, b)), a)),
% 4.76/4.95 inference(transitivity,[status(thm)],[5873, 5902])).
% 4.76/4.95 tff(5943,plain,
% 4.76/4.95 (mult(mult(a, mult(mult(a, mult(c, b)), a)), b) = mult(mult(mult(mult(a, c), mult(a, b)), a), b)),
% 4.76/4.95 inference(monotonicity,[status(thm)],[5942])).
% 4.76/4.95 tff(5944,plain,
% 4.76/4.95 (mult(mult(a, mult(mult(a, mult(c, b)), a)), b) = mult(mult(a, mult(mult(a, c), mult(a, b))), b)),
% 4.76/4.95 inference(transitivity,[status(thm)],[5943, 5941, 5918, 5822, 5917, 5894])).
% 4.76/4.95 tff(5945,plain,
% 4.76/4.95 (rd(mult(mult(a, mult(mult(a, mult(c, b)), a)), b), b) = rd(mult(mult(a, mult(mult(a, c), mult(a, b))), b), b)),
% 4.76/4.95 inference(monotonicity,[status(thm)],[5944])).
% 4.76/4.95 tff(5946,plain,
% 4.76/4.95 ((~![B: $i, A: $i] : (rd(mult(A, B), B) = A)) | (rd(mult(mult(a, mult(mult(a, mult(c, b)), a)), b), b) = mult(a, mult(mult(a, mult(c, b)), a)))),
% 4.76/4.95 inference(quant_inst,[status(thm)],[])).
% 4.76/4.95 tff(5947,plain,
% 4.76/4.95 (rd(mult(mult(a, mult(mult(a, mult(c, b)), a)), b), b) = mult(a, mult(mult(a, mult(c, b)), a))),
% 4.76/4.95 inference(unit_resolution,[status(thm)],[5946, 72])).
% 4.76/4.95 tff(5948,plain,
% 4.76/4.95 (mult(a, mult(mult(a, mult(c, b)), a)) = rd(mult(mult(a, mult(mult(a, mult(c, b)), a)), b), b)),
% 4.76/4.95 inference(symmetry,[status(thm)],[5947])).
% 4.76/4.95 tff(5949,plain,
% 4.76/4.95 (mult(mult(a, mult(mult(b, c), a)), a) = mult(a, mult(a, mult(mult(b, c), a)))),
% 4.76/4.95 inference(transitivity,[status(thm)],[5431, 5901, 4757, 5948, 5945, 5887, 5426])).
% 4.76/4.95 tff(5950,plain,
% 4.76/4.95 ($false),
% 4.76/4.95 inference(unit_resolution,[status(thm)],[5910, 5949])).
% 4.76/4.95 tff(5951,plain,((~(mult(mult(mult(a, mult(a, a)), mult(b, c)), b) = mult(mult(a, mult(a, a)), mult(mult(b, c), b)))) | (mult(mult(a, mult(mult(b, c), a)), a) = mult(a, mult(a, mult(mult(b, c), a)))) | (~(mult(mult(mult(a, mult(a, a)), b), c) = mult(mult(a, mult(a, a)), mult(c, b)))) | (~(mult(mult(a, a), mult(a, mult(c, b))) = mult(a, mult(a, mult(a, mult(c, b)))))) | (~(mult(mult(a, c), mult(a, b)) = mult(a, mult(mult(a, b), c)))) | (~(mult(mult(a, b), c) = mult(a, mult(c, b)))) | (~(mult(mult(mult(a, c), b), a) = mult(mult(a, c), mult(a, b)))) | (~(mult(mult(a, c), b) = mult(a, mult(b, c)))) | (~(mult(mult(a, mult(c, b)), a) = mult(a, mult(mult(c, b), a)))) | (~(mult(mult(mult(a, a), b), c) = mult(mult(a, a), mult(b, c)))) | (~(mult(mult(a, mult(a, b)), c) = mult(a, mult(c, mult(a, b))))) | (~(mult(mult(a, a), b) = mult(a, mult(a, b)))) | (~(mult(mult(c, b), a) = mult(c, mult(a, b)))) | (~(mult(mult(a, a), mult(b, c)) = mult(a, mult(a, mult(b, c))))) | (~(mult(mult(a, mult(b, c)), a) = mult(a, mult(mult(b, c), a))))), inference(lemma,lemma(discharge,[]))).
% 4.76/4.95 tff(5952,plain,
% 4.76/4.95 ((~(mult(mult(mult(a, mult(a, a)), mult(b, c)), b) = mult(mult(a, mult(a, a)), mult(mult(b, c), b)))) | (mult(mult(a, mult(mult(b, c), a)), a) = mult(a, mult(a, mult(mult(b, c), a)))) | (~(mult(mult(mult(a, mult(a, a)), b), c) = mult(mult(a, mult(a, a)), mult(c, b)))) | (~(mult(mult(a, a), mult(a, mult(c, b))) = mult(a, mult(a, mult(a, mult(c, b)))))) | (~(mult(mult(a, c), mult(a, b)) = mult(a, mult(mult(a, b), c)))) | (~(mult(mult(a, b), c) = mult(a, mult(c, b)))) | (~(mult(mult(mult(a, c), b), a) = mult(mult(a, c), mult(a, b)))) | (~(mult(mult(a, c), b) = mult(a, mult(b, c)))) | (~(mult(mult(a, mult(c, b)), a) = mult(a, mult(mult(c, b), a)))) | (~(mult(mult(mult(a, a), b), c) = mult(mult(a, a), mult(b, c)))) | (~(mult(mult(a, mult(a, b)), c) = mult(a, mult(c, mult(a, b))))) | (~(mult(mult(c, b), a) = mult(c, mult(a, b)))) | (~(mult(mult(a, a), mult(b, c)) = mult(a, mult(a, mult(b, c))))) | (~(mult(mult(a, mult(b, c)), a) = mult(a, mult(mult(b, c), a))))),
% 4.76/4.95 inference(unit_resolution,[status(thm)],[5951, 4190])).
% 4.76/4.95 tff(5953,plain,
% 4.76/4.95 (~(mult(mult(mult(a, mult(a, a)), mult(b, c)), b) = mult(mult(a, mult(a, a)), mult(mult(b, c), b)))),
% 4.76/4.95 inference(unit_resolution,[status(thm)],[5952, 5817, 5309, 5467, 4654, 91, 971, 97, 4821, 5885, 4709, 5290, 5492, 5880])).
% 4.76/4.95 tff(5954,plain,
% 4.76/4.95 (~(mult(mult(a, mult(mult(a, mult(c, b)), a)), b) = mult(a, mult(mult(mult(a, mult(c, b)), a), b)))),
% 4.76/4.95 inference(modus_ponens,[status(thm)],[5953, 5878])).
% 4.76/4.95 tff(5955,plain,
% 4.76/4.95 (((~(mult(mult(a, mult(mult(a, mult(c, b)), a)), b) = mult(a, mult(mult(mult(a, mult(c, b)), a), b)))) | (~(mult(mult(a, b), mult(mult(a, mult(c, b)), a)) = mult(a, mult(b, mult(mult(a, mult(c, b)), a)))))) | (mult(mult(a, mult(mult(a, mult(c, b)), a)), b) = mult(a, mult(mult(mult(a, mult(c, b)), a), b)))),
% 4.76/4.95 inference(tautology,[status(thm)],[])).
% 4.76/4.95 tff(5956,plain,
% 4.76/4.95 ((~(mult(mult(a, mult(mult(a, mult(c, b)), a)), b) = mult(a, mult(mult(mult(a, mult(c, b)), a), b)))) | (~(mult(mult(a, b), mult(mult(a, mult(c, b)), a)) = mult(a, mult(b, mult(mult(a, mult(c, b)), a)))))),
% 4.76/4.95 inference(unit_resolution,[status(thm)],[5955, 5954])).
% 4.76/4.95 tff(5957,plain,
% 4.76/4.95 (((~![X0: $i, X1: $i, X2: $i] : ((~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X2, X1)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X1, X2)))))) | (~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X1, X2)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X2, X1)))))))) | ((~((~(mult(mult(a, b), mult(mult(a, mult(c, b)), a)) = mult(a, mult(mult(mult(a, mult(c, b)), a), b)))) | (~(mult(mult(a, mult(mult(a, mult(c, b)), a)), b) = mult(a, mult(b, mult(mult(a, mult(c, b)), a))))))) | (~((~(mult(mult(a, mult(mult(a, mult(c, b)), a)), b) = mult(a, mult(mult(mult(a, mult(c, b)), a), b)))) | (~(mult(mult(a, b), mult(mult(a, mult(c, b)), a)) = mult(a, mult(b, mult(mult(a, mult(c, b)), a))))))))) <=> ((~![X0: $i, X1: $i, X2: $i] : ((~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X2, X1)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X1, X2)))))) | (~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X1, X2)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X2, X1)))))))) | (~((~(mult(mult(a, b), mult(mult(a, mult(c, b)), a)) = mult(a, mult(mult(mult(a, mult(c, b)), a), b)))) | (~(mult(mult(a, mult(mult(a, mult(c, b)), a)), b) = mult(a, mult(b, mult(mult(a, mult(c, b)), a))))))) | (~((~(mult(mult(a, mult(mult(a, mult(c, b)), a)), b) = mult(a, mult(mult(mult(a, mult(c, b)), a), b)))) | (~(mult(mult(a, b), mult(mult(a, mult(c, b)), a)) = mult(a, mult(b, mult(mult(a, mult(c, b)), a))))))))),
% 4.76/4.96 inference(rewrite,[status(thm)],[])).
% 4.76/4.96 tff(5958,plain,
% 4.76/4.96 (((~((~(mult(mult(a, mult(mult(a, mult(c, b)), a)), b) = mult(a, mult(b, mult(mult(a, mult(c, b)), a))))) | (~(mult(mult(a, b), mult(mult(a, mult(c, b)), a)) = mult(a, mult(mult(mult(a, mult(c, b)), a), b)))))) | (~((~(mult(mult(a, mult(mult(a, mult(c, b)), a)), b) = mult(a, mult(mult(mult(a, mult(c, b)), a), b)))) | (~(mult(mult(a, b), mult(mult(a, mult(c, b)), a)) = mult(a, mult(b, mult(mult(a, mult(c, b)), a)))))))) <=> ((~((~(mult(mult(a, b), mult(mult(a, mult(c, b)), a)) = mult(a, mult(mult(mult(a, mult(c, b)), a), b)))) | (~(mult(mult(a, mult(mult(a, mult(c, b)), a)), b) = mult(a, mult(b, mult(mult(a, mult(c, b)), a))))))) | (~((~(mult(mult(a, mult(mult(a, mult(c, b)), a)), b) = mult(a, mult(mult(mult(a, mult(c, b)), a), b)))) | (~(mult(mult(a, b), mult(mult(a, mult(c, b)), a)) = mult(a, mult(b, mult(mult(a, mult(c, b)), a))))))))),
% 4.76/4.96 inference(rewrite,[status(thm)],[])).
% 4.76/4.96 tff(5959,plain,
% 4.76/4.96 (((~![X0: $i, X1: $i, X2: $i] : ((~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X2, X1)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X1, X2)))))) | (~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X1, X2)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X2, X1)))))))) | ((~((~(mult(mult(a, mult(mult(a, mult(c, b)), a)), b) = mult(a, mult(b, mult(mult(a, mult(c, b)), a))))) | (~(mult(mult(a, b), mult(mult(a, mult(c, b)), a)) = mult(a, mult(mult(mult(a, mult(c, b)), a), b)))))) | (~((~(mult(mult(a, mult(mult(a, mult(c, b)), a)), b) = mult(a, mult(mult(mult(a, mult(c, b)), a), b)))) | (~(mult(mult(a, b), mult(mult(a, mult(c, b)), a)) = mult(a, mult(b, mult(mult(a, mult(c, b)), a))))))))) <=> ((~![X0: $i, X1: $i, X2: $i] : ((~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X2, X1)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X1, X2)))))) | (~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X1, X2)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X2, X1)))))))) | ((~((~(mult(mult(a, b), mult(mult(a, mult(c, b)), a)) = mult(a, mult(mult(mult(a, mult(c, b)), a), b)))) | (~(mult(mult(a, mult(mult(a, mult(c, b)), a)), b) = mult(a, mult(b, mult(mult(a, mult(c, b)), a))))))) | (~((~(mult(mult(a, mult(mult(a, mult(c, b)), a)), b) = mult(a, mult(mult(mult(a, mult(c, b)), a), b)))) | (~(mult(mult(a, b), mult(mult(a, mult(c, b)), a)) = mult(a, mult(b, mult(mult(a, mult(c, b)), a)))))))))),
% 4.76/4.96 inference(monotonicity,[status(thm)],[5958])).
% 4.76/4.96 tff(5960,plain,
% 4.76/4.96 (((~![X0: $i, X1: $i, X2: $i] : ((~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X2, X1)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X1, X2)))))) | (~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X1, X2)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X2, X1)))))))) | ((~((~(mult(mult(a, mult(mult(a, mult(c, b)), a)), b) = mult(a, mult(b, mult(mult(a, mult(c, b)), a))))) | (~(mult(mult(a, b), mult(mult(a, mult(c, b)), a)) = mult(a, mult(mult(mult(a, mult(c, b)), a), b)))))) | (~((~(mult(mult(a, mult(mult(a, mult(c, b)), a)), b) = mult(a, mult(mult(mult(a, mult(c, b)), a), b)))) | (~(mult(mult(a, b), mult(mult(a, mult(c, b)), a)) = mult(a, mult(b, mult(mult(a, mult(c, b)), a))))))))) <=> ((~![X0: $i, X1: $i, X2: $i] : ((~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X2, X1)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X1, X2)))))) | (~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X1, X2)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X2, X1)))))))) | (~((~(mult(mult(a, b), mult(mult(a, mult(c, b)), a)) = mult(a, mult(mult(mult(a, mult(c, b)), a), b)))) | (~(mult(mult(a, mult(mult(a, mult(c, b)), a)), b) = mult(a, mult(b, mult(mult(a, mult(c, b)), a))))))) | (~((~(mult(mult(a, mult(mult(a, mult(c, b)), a)), b) = mult(a, mult(mult(mult(a, mult(c, b)), a), b)))) | (~(mult(mult(a, b), mult(mult(a, mult(c, b)), a)) = mult(a, mult(b, mult(mult(a, mult(c, b)), a))))))))),
% 4.79/4.96 inference(transitivity,[status(thm)],[5959, 5957])).
% 4.79/4.96 tff(5961,plain,
% 4.79/4.96 ((~![X0: $i, X1: $i, X2: $i] : ((~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X2, X1)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X1, X2)))))) | (~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X1, X2)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X2, X1)))))))) | ((~((~(mult(mult(a, mult(mult(a, mult(c, b)), a)), b) = mult(a, mult(b, mult(mult(a, mult(c, b)), a))))) | (~(mult(mult(a, b), mult(mult(a, mult(c, b)), a)) = mult(a, mult(mult(mult(a, mult(c, b)), a), b)))))) | (~((~(mult(mult(a, mult(mult(a, mult(c, b)), a)), b) = mult(a, mult(mult(mult(a, mult(c, b)), a), b)))) | (~(mult(mult(a, b), mult(mult(a, mult(c, b)), a)) = mult(a, mult(b, mult(mult(a, mult(c, b)), a))))))))),
% 4.79/4.96 inference(quant_inst,[status(thm)],[])).
% 4.79/4.96 tff(5962,plain,
% 4.79/4.96 ((~![X0: $i, X1: $i, X2: $i] : ((~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X2, X1)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X1, X2)))))) | (~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X1, X2)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X2, X1)))))))) | (~((~(mult(mult(a, b), mult(mult(a, mult(c, b)), a)) = mult(a, mult(mult(mult(a, mult(c, b)), a), b)))) | (~(mult(mult(a, mult(mult(a, mult(c, b)), a)), b) = mult(a, mult(b, mult(mult(a, mult(c, b)), a))))))) | (~((~(mult(mult(a, mult(mult(a, mult(c, b)), a)), b) = mult(a, mult(mult(mult(a, mult(c, b)), a), b)))) | (~(mult(mult(a, b), mult(mult(a, mult(c, b)), a)) = mult(a, mult(b, mult(mult(a, mult(c, b)), a)))))))),
% 4.79/4.96 inference(modus_ponens,[status(thm)],[5961, 5960])).
% 4.79/4.96 tff(5963,plain,
% 4.79/4.96 ((~((~(mult(mult(a, b), mult(mult(a, mult(c, b)), a)) = mult(a, mult(mult(mult(a, mult(c, b)), a), b)))) | (~(mult(mult(a, mult(mult(a, mult(c, b)), a)), b) = mult(a, mult(b, mult(mult(a, mult(c, b)), a))))))) | (~((~(mult(mult(a, mult(mult(a, mult(c, b)), a)), b) = mult(a, mult(mult(mult(a, mult(c, b)), a), b)))) | (~(mult(mult(a, b), mult(mult(a, mult(c, b)), a)) = mult(a, mult(b, mult(mult(a, mult(c, b)), a)))))))),
% 4.79/4.96 inference(unit_resolution,[status(thm)],[5962, 30])).
% 4.79/4.96 tff(5964,plain,
% 4.79/4.96 (~((~(mult(mult(a, b), mult(mult(a, mult(c, b)), a)) = mult(a, mult(mult(mult(a, mult(c, b)), a), b)))) | (~(mult(mult(a, mult(mult(a, mult(c, b)), a)), b) = mult(a, mult(b, mult(mult(a, mult(c, b)), a))))))),
% 4.79/4.96 inference(unit_resolution,[status(thm)],[5963, 5956])).
% 4.79/4.96 tff(5965,plain,
% 4.79/4.96 (((~(mult(mult(a, b), mult(mult(a, mult(c, b)), a)) = mult(a, mult(mult(mult(a, mult(c, b)), a), b)))) | (~(mult(mult(a, mult(mult(a, mult(c, b)), a)), b) = mult(a, mult(b, mult(mult(a, mult(c, b)), a)))))) | (mult(mult(a, b), mult(mult(a, mult(c, b)), a)) = mult(a, mult(mult(mult(a, mult(c, b)), a), b)))),
% 4.79/4.96 inference(tautology,[status(thm)],[])).
% 4.79/4.96 tff(5966,plain,
% 4.79/4.96 (mult(mult(a, b), mult(mult(a, mult(c, b)), a)) = mult(a, mult(mult(mult(a, mult(c, b)), a), b))),
% 4.79/4.96 inference(unit_resolution,[status(thm)],[5965, 5964])).
% 4.79/4.96 tff(5967,plain,
% 4.79/4.96 (mult(a, mult(mult(mult(a, mult(c, b)), a), b)) = mult(mult(a, b), mult(mult(a, mult(c, b)), a))),
% 4.79/4.96 inference(symmetry,[status(thm)],[5966])).
% 4.79/4.96 tff(5968,plain,
% 4.79/4.96 (mult(mult(mult(mult(a, mult(c, b)), a), a), b) = mult(mult(mult(mult(mult(a, b), c), a), a), b)),
% 4.79/4.96 inference(monotonicity,[status(thm)],[4722])).
% 4.79/4.96 tff(5969,plain,
% 4.79/4.96 ((mult(mult(mult(a, mult(c, b)), a), mult(a, b)) = mult(mult(mult(mult(a, mult(c, b)), a), a), b)) <=> (mult(mult(mult(mult(a, mult(c, b)), a), a), b) = mult(mult(mult(a, mult(c, b)), a), mult(a, b)))),
% 4.79/4.96 inference(commutativity,[status(thm)],[])).
% 4.79/4.96 tff(5970,plain,
% 4.79/4.96 (mult(mult(mult(mult(mult(a, b), c), a), a), b) = mult(mult(mult(mult(a, mult(c, b)), a), a), b)),
% 4.79/4.96 inference(symmetry,[status(thm)],[5968])).
% 4.79/4.96 tff(5971,plain,
% 4.79/4.96 (mult(mult(mult(a, b), mult(a, mult(a, c))), b) = mult(mult(mult(mult(mult(a, b), c), a), a), b)),
% 4.79/4.96 inference(symmetry,[status(thm)],[5684])).
% 4.79/4.96 tff(5972,plain,
% 4.79/4.96 (mult(a, mult(mult(b, mult(a, mult(a, c))), b)) = mult(mult(mult(a, b), mult(a, mult(a, c))), b)),
% 4.79/4.96 inference(symmetry,[status(thm)],[5335])).
% 4.79/4.96 tff(5973,plain,
% 4.79/4.96 (mult(a, mult(mult(a, mult(c, mult(a, b))), b)) = mult(a, mult(mult(b, mult(a, mult(a, c))), b))),
% 4.79/4.96 inference(symmetry,[status(thm)],[5333])).
% 4.79/4.96 tff(5974,plain,
% 4.79/4.96 (mult(mult(a, b), mult(a, mult(c, mult(a, b)))) = mult(mult(a, b), mult(mult(a, mult(c, b)), a))),
% 4.79/4.96 inference(monotonicity,[status(thm)],[5293])).
% 4.79/4.96 tff(5975,plain,
% 4.79/4.96 (mult(mult(a, b), mult(mult(a, b), mult(a, c))) = mult(mult(a, b), mult(a, mult(c, mult(a, b))))),
% 4.79/4.96 inference(monotonicity,[status(thm)],[5361])).
% 4.79/4.96 tff(5976,plain,
% 4.79/4.96 (mult(mult(a, b), mult(mult(a, b), mult(a, c))) = mult(mult(mult(mult(a, mult(c, b)), a), a), b)),
% 4.79/4.96 inference(transitivity,[status(thm)],[5975, 5974, 5966, 5301, 5973, 5972, 5971, 5970])).
% 4.79/4.96 tff(5977,plain,
% 4.79/4.96 (mult(mult(mult(a, mult(c, b)), a), mult(a, b)) = mult(mult(mult(mult(a, b), c), a), mult(a, b))),
% 4.79/4.96 inference(monotonicity,[status(thm)],[609])).
% 4.79/4.96 tff(5978,plain,
% 4.79/4.96 (mult(mult(mult(mult(a, b), c), a), mult(a, b)) = mult(mult(mult(a, mult(c, b)), a), mult(a, b))),
% 4.79/4.96 inference(symmetry,[status(thm)],[5977])).
% 4.79/4.96 tff(5979,plain,
% 4.79/4.96 (mult(mult(mult(a, b), mult(a, c)), mult(a, b)) = mult(mult(mult(mult(a, b), c), a), mult(a, b))),
% 4.79/4.96 inference(monotonicity,[status(thm)],[5360])).
% 4.79/4.96 tff(5980,plain,
% 4.79/4.96 (mult(mult(mult(a, b), mult(a, c)), mult(a, b)) = mult(mult(mult(a, mult(c, b)), a), mult(a, b))),
% 4.79/4.96 inference(transitivity,[status(thm)],[5979, 5978])).
% 4.79/4.96 tff(5981,plain,
% 4.79/4.96 ((mult(mult(mult(a, b), mult(a, c)), mult(a, b)) = mult(mult(a, b), mult(mult(a, b), mult(a, c)))) <=> (mult(mult(mult(a, mult(c, b)), a), mult(a, b)) = mult(mult(mult(mult(a, mult(c, b)), a), a), b))),
% 4.79/4.96 inference(monotonicity,[status(thm)],[5980, 5976])).
% 4.79/4.96 tff(5982,plain,
% 4.79/4.96 ((mult(mult(mult(a, b), mult(a, c)), mult(a, b)) = mult(mult(a, b), mult(mult(a, b), mult(a, c)))) <=> (mult(mult(mult(mult(a, mult(c, b)), a), a), b) = mult(mult(mult(a, mult(c, b)), a), mult(a, b)))),
% 4.79/4.96 inference(transitivity,[status(thm)],[5981, 5969])).
% 4.79/4.96 tff(5983,plain,
% 4.79/4.96 ((~(mult(mult(mult(a, b), mult(a, c)), mult(a, b)) = mult(mult(a, b), mult(mult(a, b), mult(a, c))))) <=> (~(mult(mult(mult(mult(a, mult(c, b)), a), a), b) = mult(mult(mult(a, mult(c, b)), a), mult(a, b))))),
% 4.79/4.96 inference(monotonicity,[status(thm)],[5982])).
% 4.79/4.96 tff(5984,plain,
% 4.79/4.96 ((mult(mult(b, c), a) = mult(b, mult(c, a))) <=> (mult(b, mult(a, c)) = mult(b, mult(c, a)))),
% 4.79/4.96 inference(monotonicity,[status(thm)],[3433])).
% 4.79/4.96 tff(5985,plain,
% 4.79/4.96 ((mult(mult(b, c), a) = mult(b, mult(c, a))) <=> (mult(b, mult(c, a)) = mult(b, mult(a, c)))),
% 4.79/4.96 inference(transitivity,[status(thm)],[5984, 727])).
% 4.79/4.96 tff(5986,plain,
% 4.79/4.96 ((~(mult(mult(b, c), a) = mult(b, mult(c, a)))) <=> (~(mult(b, mult(c, a)) = mult(b, mult(a, c))))),
% 4.79/4.96 inference(monotonicity,[status(thm)],[5985])).
% 4.79/4.96 tff(5987,plain,
% 4.79/4.96 (~(mult(b, mult(c, a)) = mult(b, mult(a, c)))),
% 4.79/4.96 inference(modus_ponens,[status(thm)],[5722, 5986])).
% 4.79/4.96 tff(5988,plain,
% 4.79/4.96 (~(mult(c, a) = mult(a, c))),
% 4.79/4.96 inference(unit_resolution,[status(thm)],[2459, 5987])).
% 4.79/4.96 tff(5989,plain,
% 4.79/4.96 (mult(c, mult(a, b)) = mult(mult(a, c), b)),
% 4.79/4.96 inference(transitivity,[status(thm)],[668, 5515, 2212])).
% 4.79/4.96 tff(5990,plain,
% 4.79/4.96 (mult(mult(c, mult(a, b)), a) = mult(mult(mult(a, c), b), a)),
% 4.79/4.96 inference(monotonicity,[status(thm)],[5989])).
% 4.79/4.96 tff(5991,assumption,(mult(mult(c, mult(a, b)), a) = mult(c, mult(mult(a, b), a))), introduced(assumption)).
% 4.79/4.96 tff(5992,plain,
% 4.79/4.96 (mult(c, mult(mult(a, b), a)) = mult(mult(c, mult(a, b)), a)),
% 4.79/4.96 inference(symmetry,[status(thm)],[5991])).
% 4.79/4.96 tff(5993,plain,
% 4.79/4.96 (mult(mult(mult(c, a), b), a) = mult(mult(mult(a, c), b), a)),
% 4.79/4.96 inference(transitivity,[status(thm)],[2807, 5992, 5990])).
% 4.79/4.96 tff(5994,plain,
% 4.79/4.96 (rd(mult(mult(mult(c, a), b), a), a) = rd(mult(mult(mult(a, c), b), a), a)),
% 4.79/4.96 inference(monotonicity,[status(thm)],[5993])).
% 4.79/4.96 tff(5995,plain,
% 4.79/4.96 (mult(mult(c, a), b) = rd(mult(mult(mult(c, a), b), a), a)),
% 4.79/4.96 inference(symmetry,[status(thm)],[3844])).
% 4.79/4.96 tff(5996,plain,
% 4.79/4.96 (mult(mult(c, a), b) = mult(mult(a, c), b)),
% 4.79/4.96 inference(transitivity,[status(thm)],[5995, 5994, 388])).
% 4.79/4.96 tff(5997,plain,
% 4.79/4.96 (rd(mult(mult(c, a), b), b) = rd(mult(mult(a, c), b), b)),
% 4.79/4.96 inference(monotonicity,[status(thm)],[5996])).
% 4.79/4.96 tff(5998,plain,
% 4.79/4.96 (mult(c, a) = mult(a, c)),
% 4.79/4.96 inference(transitivity,[status(thm)],[359, 5997, 344])).
% 4.79/4.96 tff(5999,plain,
% 4.79/4.96 ($false),
% 4.79/4.96 inference(unit_resolution,[status(thm)],[2466, 5998])).
% 4.79/4.96 tff(6000,plain,((~(mult(mult(c, mult(a, b)), a) = mult(c, mult(mult(a, b), a)))) | (mult(c, a) = mult(a, c)) | (~(mult(mult(a, b), mult(a, c)) = mult(a, mult(mult(a, c), b)))) | (~(mult(mult(mult(a, b), c), a) = mult(mult(a, b), mult(a, c)))) | (~(mult(mult(a, mult(c, b)), a) = mult(a, mult(mult(c, b), a)))) | (~(mult(mult(c, b), a) = mult(c, mult(a, b)))) | (~(mult(mult(a, b), c) = mult(a, mult(c, b))))), inference(lemma,lemma(discharge,[]))).
% 4.79/4.96 tff(6001,plain,
% 4.79/4.96 (~(mult(mult(c, mult(a, b)), a) = mult(c, mult(mult(a, b), a)))),
% 4.79/4.96 inference(unit_resolution,[status(thm)],[6000, 5988, 5491, 5305, 4821, 5290, 91])).
% 4.79/4.96 tff(6002,plain,
% 4.79/4.96 ((~(mult(mult(c, a), mult(a, b)) = mult(c, mult(a, mult(a, b))))) | (~(mult(mult(c, mult(a, b)), a) = mult(c, mult(mult(a, b), a))))),
% 4.79/4.96 inference(unit_resolution,[status(thm)],[2920, 6001])).
% 4.79/4.96 tff(6003,plain,
% 4.79/4.96 (~((~(mult(mult(c, a), mult(a, b)) = mult(c, mult(mult(a, b), a)))) | (~(mult(mult(c, mult(a, b)), a) = mult(c, mult(a, mult(a, b))))))),
% 4.79/4.96 inference(unit_resolution,[status(thm)],[4188, 6002])).
% 4.79/4.96 tff(6004,plain,
% 4.79/4.96 (mult(mult(c, mult(a, b)), a) = mult(c, mult(a, mult(a, b)))),
% 4.79/4.96 inference(unit_resolution,[status(thm)],[2927, 6003])).
% 4.79/4.96 tff(6005,plain,
% 4.79/4.96 (mult(c, mult(a, mult(a, b))) = mult(mult(c, mult(a, b)), a)),
% 4.79/4.96 inference(symmetry,[status(thm)],[6004])).
% 4.79/4.96 tff(6006,plain,
% 4.79/4.96 (mult(c, mult(mult(a, a), b)) = mult(c, mult(a, mult(a, b)))),
% 4.79/4.96 inference(monotonicity,[status(thm)],[4190])).
% 4.79/4.96 tff(6007,plain,
% 4.79/4.96 (mult(c, mult(mult(a, a), b)) = mult(mult(a, c), mult(a, b))),
% 4.79/4.96 inference(transitivity,[status(thm)],[6006, 6005, 5837, 971])).
% 4.79/4.96 tff(6008,plain,
% 4.79/4.96 (mult(a, mult(c, mult(mult(a, a), b))) = mult(a, mult(mult(a, c), mult(a, b)))),
% 4.79/4.96 inference(monotonicity,[status(thm)],[6007])).
% 4.79/4.96 tff(6009,plain,
% 4.79/4.96 (mult(a, mult(c, mult(mult(a, a), b))) = mult(mult(a, a), mult(a, mult(c, b)))),
% 4.79/4.96 inference(transitivity,[status(thm)],[6008, 5470, 5468])).
% 4.79/4.96 tff(6010,plain,
% 4.79/4.96 ((~(mult(mult(mult(a, c), a), mult(a, b)) = mult(mult(a, c), mult(a, mult(a, b))))) | (~(mult(mult(mult(a, c), mult(a, b)), a) = mult(mult(a, c), mult(mult(a, b), a))))),
% 4.79/4.96 inference(unit_resolution,[status(thm)],[1547, 1543])).
% 4.79/4.96 tff(6011,plain,
% 4.79/4.96 (((~![X0: $i, X1: $i, X2: $i] : ((~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X2, X1)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X1, X2)))))) | (~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X1, X2)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X2, X1)))))))) | ((~((~(mult(mult(mult(a, c), a), mult(a, b)) = mult(mult(a, c), mult(mult(a, b), a)))) | (~(mult(mult(mult(a, c), mult(a, b)), a) = mult(mult(a, c), mult(a, mult(a, b))))))) | (~((~(mult(mult(mult(a, c), a), mult(a, b)) = mult(mult(a, c), mult(a, mult(a, b))))) | (~(mult(mult(mult(a, c), mult(a, b)), a) = mult(mult(a, c), mult(mult(a, b), a)))))))) <=> ((~![X0: $i, X1: $i, X2: $i] : ((~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X2, X1)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X1, X2)))))) | (~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X1, X2)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X2, X1)))))))) | (~((~(mult(mult(mult(a, c), a), mult(a, b)) = mult(mult(a, c), mult(mult(a, b), a)))) | (~(mult(mult(mult(a, c), mult(a, b)), a) = mult(mult(a, c), mult(a, mult(a, b))))))) | (~((~(mult(mult(mult(a, c), a), mult(a, b)) = mult(mult(a, c), mult(a, mult(a, b))))) | (~(mult(mult(mult(a, c), mult(a, b)), a) = mult(mult(a, c), mult(mult(a, b), a)))))))),
% 4.79/4.97 inference(rewrite,[status(thm)],[])).
% 4.79/4.97 tff(6012,plain,
% 4.79/4.97 ((~![X0: $i, X1: $i, X2: $i] : ((~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X2, X1)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X1, X2)))))) | (~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X1, X2)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X2, X1)))))))) | ((~((~(mult(mult(mult(a, c), a), mult(a, b)) = mult(mult(a, c), mult(mult(a, b), a)))) | (~(mult(mult(mult(a, c), mult(a, b)), a) = mult(mult(a, c), mult(a, mult(a, b))))))) | (~((~(mult(mult(mult(a, c), a), mult(a, b)) = mult(mult(a, c), mult(a, mult(a, b))))) | (~(mult(mult(mult(a, c), mult(a, b)), a) = mult(mult(a, c), mult(mult(a, b), a)))))))),
% 4.79/4.97 inference(quant_inst,[status(thm)],[])).
% 4.79/4.97 tff(6013,plain,
% 4.79/4.97 ((~![X0: $i, X1: $i, X2: $i] : ((~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X2, X1)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X1, X2)))))) | (~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X1, X2)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X2, X1)))))))) | (~((~(mult(mult(mult(a, c), a), mult(a, b)) = mult(mult(a, c), mult(mult(a, b), a)))) | (~(mult(mult(mult(a, c), mult(a, b)), a) = mult(mult(a, c), mult(a, mult(a, b))))))) | (~((~(mult(mult(mult(a, c), a), mult(a, b)) = mult(mult(a, c), mult(a, mult(a, b))))) | (~(mult(mult(mult(a, c), mult(a, b)), a) = mult(mult(a, c), mult(mult(a, b), a))))))),
% 4.79/4.97 inference(modus_ponens,[status(thm)],[6012, 6011])).
% 4.79/4.97 tff(6014,plain,
% 4.79/4.97 (~((~(mult(mult(mult(a, c), a), mult(a, b)) = mult(mult(a, c), mult(mult(a, b), a)))) | (~(mult(mult(mult(a, c), mult(a, b)), a) = mult(mult(a, c), mult(a, mult(a, b))))))),
% 4.79/4.97 inference(unit_resolution,[status(thm)],[6013, 30, 6010])).
% 4.79/4.97 tff(6015,plain,
% 4.79/4.97 (((~(mult(mult(mult(a, c), a), mult(a, b)) = mult(mult(a, c), mult(mult(a, b), a)))) | (~(mult(mult(mult(a, c), mult(a, b)), a) = mult(mult(a, c), mult(a, mult(a, b)))))) | (mult(mult(mult(a, c), mult(a, b)), a) = mult(mult(a, c), mult(a, mult(a, b))))),
% 4.79/4.97 inference(tautology,[status(thm)],[])).
% 4.79/4.97 tff(6016,plain,
% 4.79/4.97 (mult(mult(mult(a, c), mult(a, b)), a) = mult(mult(a, c), mult(a, mult(a, b)))),
% 4.79/4.97 inference(unit_resolution,[status(thm)],[6015, 6014])).
% 4.79/4.97 tff(6017,plain,
% 4.79/4.97 (mult(mult(a, c), mult(a, mult(a, b))) = mult(mult(mult(a, c), mult(a, b)), a)),
% 4.79/4.97 inference(symmetry,[status(thm)],[6016])).
% 4.79/4.97 tff(6018,plain,
% 4.79/4.97 (mult(mult(a, c), mult(mult(a, a), b)) = mult(mult(a, c), mult(a, mult(a, b)))),
% 4.79/4.97 inference(monotonicity,[status(thm)],[4190])).
% 4.79/4.97 tff(6019,plain,
% 4.79/4.97 (mult(mult(a, c), mult(mult(a, a), b)) = mult(a, mult(mult(a, mult(c, b)), a))),
% 4.79/4.97 inference(transitivity,[status(thm)],[6018, 6017, 5476, 5475, 4757])).
% 4.79/4.97 tff(6020,plain,
% 4.79/4.97 ((mult(mult(a, c), mult(mult(a, a), b)) = mult(a, mult(c, mult(mult(a, a), b)))) <=> (mult(a, mult(mult(a, mult(c, b)), a)) = mult(mult(a, a), mult(a, mult(c, b))))),
% 4.79/4.97 inference(monotonicity,[status(thm)],[6019, 6009])).
% 4.79/4.97 tff(6021,plain,
% 4.79/4.97 ((mult(mult(a, c), mult(mult(a, a), b)) = mult(a, mult(c, mult(mult(a, a), b)))) <=> (mult(mult(a, a), mult(a, mult(c, b))) = mult(a, mult(mult(a, mult(c, b)), a)))),
% 4.79/4.97 inference(transitivity,[status(thm)],[6020, 5438])).
% 4.79/4.97 tff(6022,plain,
% 4.79/4.97 ((mult(mult(a, a), mult(a, mult(c, b))) = mult(a, mult(mult(a, mult(c, b)), a))) <=> (mult(mult(a, c), mult(mult(a, a), b)) = mult(a, mult(c, mult(mult(a, a), b))))),
% 4.79/4.97 inference(symmetry,[status(thm)],[6021])).
% 4.79/4.97 tff(6023,plain,
% 4.79/4.97 ((~(mult(mult(a, a), mult(a, mult(c, b))) = mult(a, mult(mult(a, mult(c, b)), a)))) <=> (~(mult(mult(a, c), mult(mult(a, a), b)) = mult(a, mult(c, mult(mult(a, a), b)))))),
% 4.79/4.97 inference(monotonicity,[status(thm)],[6022])).
% 4.79/4.97 tff(6024,plain,
% 4.79/4.97 (~(mult(mult(a, c), mult(mult(a, a), b)) = mult(a, mult(c, mult(mult(a, a), b))))),
% 4.79/4.97 inference(modus_ponens,[status(thm)],[5490, 6023])).
% 4.79/4.97 tff(6025,plain,
% 4.79/4.97 (((~(mult(mult(a, mult(mult(a, a), b)), c) = mult(a, mult(mult(mult(a, a), b), c)))) | (~(mult(mult(a, c), mult(mult(a, a), b)) = mult(a, mult(c, mult(mult(a, a), b)))))) | (mult(mult(a, c), mult(mult(a, a), b)) = mult(a, mult(c, mult(mult(a, a), b))))),
% 4.79/4.97 inference(tautology,[status(thm)],[])).
% 4.79/4.97 tff(6026,plain,
% 4.79/4.97 ((~(mult(mult(a, mult(mult(a, a), b)), c) = mult(a, mult(mult(mult(a, a), b), c)))) | (~(mult(mult(a, c), mult(mult(a, a), b)) = mult(a, mult(c, mult(mult(a, a), b)))))),
% 4.79/4.97 inference(unit_resolution,[status(thm)],[6025, 6024])).
% 4.79/4.97 tff(6027,plain,
% 4.79/4.97 (((~![X0: $i, X1: $i, X2: $i] : ((~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X2, X1)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X1, X2)))))) | (~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X1, X2)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X2, X1)))))))) | ((~((~(mult(mult(a, mult(mult(a, a), b)), c) = mult(a, mult(c, mult(mult(a, a), b))))) | (~(mult(mult(a, c), mult(mult(a, a), b)) = mult(a, mult(mult(mult(a, a), b), c)))))) | (~((~(mult(mult(a, mult(mult(a, a), b)), c) = mult(a, mult(mult(mult(a, a), b), c)))) | (~(mult(mult(a, c), mult(mult(a, a), b)) = mult(a, mult(c, mult(mult(a, a), b))))))))) <=> ((~![X0: $i, X1: $i, X2: $i] : ((~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X2, X1)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X1, X2)))))) | (~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X1, X2)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X2, X1)))))))) | (~((~(mult(mult(a, mult(mult(a, a), b)), c) = mult(a, mult(c, mult(mult(a, a), b))))) | (~(mult(mult(a, c), mult(mult(a, a), b)) = mult(a, mult(mult(mult(a, a), b), c)))))) | (~((~(mult(mult(a, mult(mult(a, a), b)), c) = mult(a, mult(mult(mult(a, a), b), c)))) | (~(mult(mult(a, c), mult(mult(a, a), b)) = mult(a, mult(c, mult(mult(a, a), b))))))))),
% 4.79/4.97 inference(rewrite,[status(thm)],[])).
% 4.79/4.97 tff(6028,plain,
% 4.79/4.97 ((~![X0: $i, X1: $i, X2: $i] : ((~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X2, X1)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X1, X2)))))) | (~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X1, X2)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X2, X1)))))))) | ((~((~(mult(mult(a, mult(mult(a, a), b)), c) = mult(a, mult(c, mult(mult(a, a), b))))) | (~(mult(mult(a, c), mult(mult(a, a), b)) = mult(a, mult(mult(mult(a, a), b), c)))))) | (~((~(mult(mult(a, mult(mult(a, a), b)), c) = mult(a, mult(mult(mult(a, a), b), c)))) | (~(mult(mult(a, c), mult(mult(a, a), b)) = mult(a, mult(c, mult(mult(a, a), b))))))))),
% 4.79/4.97 inference(quant_inst,[status(thm)],[])).
% 4.79/4.97 tff(6029,plain,
% 4.79/4.97 ((~![X0: $i, X1: $i, X2: $i] : ((~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X2, X1)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X1, X2)))))) | (~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X1, X2)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X2, X1)))))))) | (~((~(mult(mult(a, mult(mult(a, a), b)), c) = mult(a, mult(c, mult(mult(a, a), b))))) | (~(mult(mult(a, c), mult(mult(a, a), b)) = mult(a, mult(mult(mult(a, a), b), c)))))) | (~((~(mult(mult(a, mult(mult(a, a), b)), c) = mult(a, mult(mult(mult(a, a), b), c)))) | (~(mult(mult(a, c), mult(mult(a, a), b)) = mult(a, mult(c, mult(mult(a, a), b)))))))),
% 4.79/4.97 inference(modus_ponens,[status(thm)],[6028, 6027])).
% 4.79/4.97 tff(6030,plain,
% 4.79/4.97 ((~((~(mult(mult(a, mult(mult(a, a), b)), c) = mult(a, mult(c, mult(mult(a, a), b))))) | (~(mult(mult(a, c), mult(mult(a, a), b)) = mult(a, mult(mult(mult(a, a), b), c)))))) | (~((~(mult(mult(a, mult(mult(a, a), b)), c) = mult(a, mult(mult(mult(a, a), b), c)))) | (~(mult(mult(a, c), mult(mult(a, a), b)) = mult(a, mult(c, mult(mult(a, a), b)))))))),
% 4.79/4.97 inference(unit_resolution,[status(thm)],[6029, 30])).
% 4.79/4.97 tff(6031,plain,
% 4.79/4.97 (~((~(mult(mult(a, mult(mult(a, a), b)), c) = mult(a, mult(c, mult(mult(a, a), b))))) | (~(mult(mult(a, c), mult(mult(a, a), b)) = mult(a, mult(mult(mult(a, a), b), c)))))),
% 4.79/4.97 inference(unit_resolution,[status(thm)],[6030, 6026])).
% 4.79/4.97 tff(6032,plain,
% 4.79/4.97 (((~(mult(mult(a, mult(mult(a, a), b)), c) = mult(a, mult(c, mult(mult(a, a), b))))) | (~(mult(mult(a, c), mult(mult(a, a), b)) = mult(a, mult(mult(mult(a, a), b), c))))) | (mult(mult(a, mult(mult(a, a), b)), c) = mult(a, mult(c, mult(mult(a, a), b))))),
% 4.79/4.97 inference(tautology,[status(thm)],[])).
% 4.79/4.97 tff(6033,plain,
% 4.79/4.97 (mult(mult(a, mult(mult(a, a), b)), c) = mult(a, mult(c, mult(mult(a, a), b)))),
% 4.79/4.97 inference(unit_resolution,[status(thm)],[6032, 6031])).
% 4.79/4.97 tff(6034,plain,
% 4.79/4.97 ((mult(mult(mult(mult(a, b), c), a), mult(a, b)) = mult(mult(mult(mult(mult(a, b), c), a), b), a)) <=> (mult(mult(mult(mult(mult(a, b), c), a), b), a) = mult(mult(mult(mult(a, b), c), a), mult(a, b)))),
% 4.79/4.97 inference(commutativity,[status(thm)],[])).
% 4.79/4.97 tff(6035,plain,
% 4.79/4.97 (~(mult(mult(a, mult(b, c)), a) = mult(a, mult(a, mult(b, c))))),
% 4.79/4.97 inference(unit_resolution,[status(thm)],[1129, 168, 91, 707, 1110, 97, 594, 65])).
% 4.79/4.97 tff(6036,plain,
% 4.79/4.97 ((~(mult(mult(a, a), mult(b, c)) = mult(a, mult(mult(b, c), a)))) | (~(mult(mult(a, mult(b, c)), a) = mult(a, mult(a, mult(b, c)))))),
% 4.79/4.97 inference(unit_resolution,[status(thm)],[95, 6035])).
% 4.79/4.97 tff(6037,plain,
% 4.79/4.97 (~((~(mult(mult(a, a), mult(b, c)) = mult(a, mult(a, mult(b, c))))) | (~(mult(mult(a, mult(b, c)), a) = mult(a, mult(mult(b, c), a)))))),
% 4.79/4.97 inference(unit_resolution,[status(thm)],[503, 30, 6036])).
% 4.79/4.97 tff(6038,plain,
% 4.79/4.97 (mult(mult(a, mult(b, c)), a) = mult(a, mult(mult(b, c), a))),
% 4.79/4.97 inference(unit_resolution,[status(thm)],[506, 6037])).
% 4.79/4.97 tff(6039,plain,
% 4.79/4.97 (mult(a, mult(a, mult(c, b))) = mult(a, mult(mult(b, c), a))),
% 4.79/4.97 inference(transitivity,[status(thm)],[611, 948, 1106, 2720, 6038])).
% 4.79/4.97 tff(6040,plain,
% 4.79/4.97 (ld(a, mult(a, mult(a, mult(c, b)))) = ld(a, mult(a, mult(mult(b, c), a)))),
% 4.79/4.97 inference(monotonicity,[status(thm)],[6039])).
% 4.79/4.97 tff(6041,plain,
% 4.79/4.97 (ld(a, mult(a, mult(mult(b, c), a))) = ld(a, mult(a, mult(a, mult(c, b))))),
% 4.79/4.97 inference(symmetry,[status(thm)],[6040])).
% 4.79/4.97 tff(6042,plain,
% 4.79/4.97 (mult(mult(b, c), a) = mult(a, mult(c, b))),
% 4.79/4.97 inference(transitivity,[status(thm)],[5314, 6041, 802])).
% 4.79/4.97 tff(6043,plain,
% 4.79/4.97 (mult(mult(mult(b, c), a), a) = mult(mult(a, mult(c, b)), a)),
% 4.79/4.97 inference(monotonicity,[status(thm)],[6042])).
% 4.79/4.97 tff(6044,plain,
% 4.79/4.97 (mult(mult(mult(b, c), a), a) = mult(mult(mult(a, b), c), a)),
% 4.79/4.97 inference(transitivity,[status(thm)],[6043, 609])).
% 4.79/4.97 tff(6045,plain,
% 4.79/4.97 (mult(mult(mult(mult(b, c), a), a), b) = mult(mult(mult(mult(a, b), c), a), b)),
% 4.79/4.97 inference(monotonicity,[status(thm)],[6044])).
% 4.79/4.97 tff(6046,plain,
% 4.79/4.97 (mult(mult(mult(mult(mult(b, c), a), a), b), a) = mult(mult(mult(mult(mult(a, b), c), a), b), a)),
% 4.79/4.97 inference(monotonicity,[status(thm)],[6045])).
% 4.79/4.97 tff(6047,plain,
% 4.79/4.97 ((~![C: $i, B: $i, A: $i] : (mult(mult(mult(A, B), C), B) = mult(A, mult(mult(B, C), B)))) | (mult(mult(mult(mult(mult(b, c), a), a), b), a) = mult(mult(mult(b, c), a), mult(mult(a, b), a)))),
% 4.79/4.97 inference(quant_inst,[status(thm)],[])).
% 4.79/4.97 tff(6048,plain,
% 4.79/4.97 (mult(mult(mult(mult(mult(b, c), a), a), b), a) = mult(mult(mult(b, c), a), mult(mult(a, b), a))),
% 4.79/4.97 inference(unit_resolution,[status(thm)],[6047, 860])).
% 4.79/4.97 tff(6049,plain,
% 4.79/4.97 (mult(mult(mult(b, c), a), mult(mult(a, b), a)) = mult(mult(mult(mult(mult(b, c), a), a), b), a)),
% 4.79/4.97 inference(symmetry,[status(thm)],[6048])).
% 4.79/4.97 tff(6050,plain,
% 4.79/4.97 (mult(mult(mult(b, c), a), mult(mult(a, b), a)) = mult(mult(mult(mult(mult(a, b), c), a), b), a)),
% 4.79/4.97 inference(transitivity,[status(thm)],[6049, 6046])).
% 4.79/4.97 tff(6051,plain,
% 4.79/4.97 (mult(mult(mult(mult(b, c), a), a), mult(a, b)) = mult(mult(mult(mult(a, b), c), a), mult(a, b))),
% 4.79/4.97 inference(monotonicity,[status(thm)],[6044])).
% 4.79/4.97 tff(6052,plain,
% 4.79/4.97 ((mult(mult(mult(mult(b, c), a), a), mult(a, b)) = mult(mult(mult(b, c), a), mult(mult(a, b), a))) <=> (mult(mult(mult(mult(a, b), c), a), mult(a, b)) = mult(mult(mult(mult(mult(a, b), c), a), b), a))),
% 4.79/4.97 inference(monotonicity,[status(thm)],[6051, 6050])).
% 4.79/4.97 tff(6053,plain,
% 4.79/4.97 ((mult(mult(mult(mult(b, c), a), a), mult(a, b)) = mult(mult(mult(b, c), a), mult(mult(a, b), a))) <=> (mult(mult(mult(mult(mult(a, b), c), a), b), a) = mult(mult(mult(mult(a, b), c), a), mult(a, b)))),
% 4.79/4.97 inference(transitivity,[status(thm)],[6052, 6034])).
% 4.79/4.97 tff(6054,plain,
% 4.79/4.97 ((mult(mult(mult(mult(mult(a, b), c), a), b), a) = mult(mult(mult(mult(a, b), c), a), mult(a, b))) <=> (mult(mult(mult(mult(b, c), a), a), mult(a, b)) = mult(mult(mult(b, c), a), mult(mult(a, b), a)))),
% 4.79/4.97 inference(symmetry,[status(thm)],[6053])).
% 4.79/4.97 tff(6055,assumption,(mult(mult(a, mult(mult(a, a), b)), c) = mult(a, mult(c, mult(mult(a, a), b)))), introduced(assumption)).
% 4.79/4.97 tff(6056,assumption,(mult(mult(c, mult(a, b)), a) = mult(c, mult(a, mult(a, b)))), introduced(assumption)).
% 4.79/4.97 tff(6057,assumption,(~(mult(mult(mult(mult(b, c), a), a), mult(a, b)) = mult(mult(mult(b, c), a), mult(mult(a, b), a)))), introduced(assumption)).
% 4.79/4.97 tff(6058,plain,
% 4.79/4.97 (mult(mult(a, mult(c, b)), a) = mult(mult(a, b), mult(a, c))),
% 4.79/4.97 inference(transitivity,[status(thm)],[609, 168])).
% 4.79/4.97 tff(6059,plain,
% 4.79/4.97 (mult(a, mult(mult(a, mult(c, b)), a)) = mult(a, mult(mult(a, b), mult(a, c)))),
% 4.79/4.97 inference(monotonicity,[status(thm)],[6058])).
% 4.79/4.97 tff(6060,plain,
% 4.79/4.97 (mult(a, mult(mult(a, b), mult(a, c))) = mult(a, mult(mult(a, mult(c, b)), a))),
% 4.79/4.97 inference(symmetry,[status(thm)],[6059])).
% 4.79/4.97 tff(6061,plain,
% 4.79/4.97 (mult(a, mult(c, b)) = mult(mult(b, c), a)),
% 4.79/4.97 inference(transitivity,[status(thm)],[803, 6040, 4716])).
% 4.79/4.97 tff(6062,plain,
% 4.79/4.97 (mult(mult(a, a), mult(a, mult(c, b))) = mult(mult(a, a), mult(mult(b, c), a))),
% 4.79/4.97 inference(monotonicity,[status(thm)],[6061])).
% 4.79/4.97 tff(6063,plain,
% 4.79/4.97 (mult(mult(a, a), mult(mult(b, c), a)) = mult(mult(a, a), mult(a, mult(c, b)))),
% 4.79/4.97 inference(symmetry,[status(thm)],[6062])).
% 4.79/4.97 tff(6064,plain,
% 4.79/4.97 ((~![B: $i, A: $i] : (rd(mult(A, B), B) = A)) | (rd(mult(mult(mult(a, a), mult(mult(b, c), a)), b), b) = mult(mult(a, a), mult(mult(b, c), a)))),
% 4.79/4.97 inference(quant_inst,[status(thm)],[])).
% 4.79/4.97 tff(6065,plain,
% 4.79/4.97 (rd(mult(mult(mult(a, a), mult(mult(b, c), a)), b), b) = mult(mult(a, a), mult(mult(b, c), a))),
% 4.79/4.97 inference(unit_resolution,[status(thm)],[6064, 72])).
% 4.79/4.97 tff(6066,plain,
% 4.79/4.97 (mult(mult(a, a), mult(b, c)) = mult(a, mult(a, mult(b, c)))),
% 4.79/4.97 inference(unit_resolution,[status(thm)],[2627, 6037])).
% 4.79/4.97 tff(6067,plain,
% 4.79/4.97 (mult(a, mult(a, mult(b, c))) = mult(mult(a, a), mult(b, c))),
% 4.79/4.97 inference(symmetry,[status(thm)],[6066])).
% 4.79/4.97 tff(6068,plain,
% 4.79/4.97 (mult(a, mult(mult(b, c), a)) = mult(mult(a, mult(b, c)), a)),
% 4.79/4.97 inference(symmetry,[status(thm)],[6038])).
% 4.79/4.97 tff(6069,plain,
% 4.79/4.97 (mult(a, mult(b, mult(a, c))) = mult(mult(a, c), mult(a, b))),
% 4.79/4.97 inference(transitivity,[status(thm)],[5357, 6068, 607, 594])).
% 4.79/4.97 tff(6070,plain,
% 4.79/4.97 (mult(mult(a, b), mult(a, c)) = mult(a, mult(c, mult(a, b)))),
% 4.79/4.97 inference(transitivity,[status(thm)],[403, 608, 707, 1434])).
% 4.79/4.97 tff(6071,plain,
% 4.79/4.97 ((mult(mult(a, b), mult(a, c)) = mult(a, mult(b, mult(a, c)))) <=> (mult(a, mult(c, mult(a, b))) = mult(mult(a, c), mult(a, b)))),
% 4.79/4.97 inference(monotonicity,[status(thm)],[6070, 6069])).
% 4.79/4.97 tff(6072,plain,
% 4.79/4.97 ((mult(mult(a, b), mult(a, c)) = mult(a, mult(b, mult(a, c)))) <=> (mult(mult(a, c), mult(a, b)) = mult(a, mult(c, mult(a, b))))),
% 4.79/4.97 inference(transitivity,[status(thm)],[6071, 2605])).
% 4.79/4.97 tff(6073,plain,
% 4.79/4.97 ((mult(mult(a, c), mult(a, b)) = mult(a, mult(c, mult(a, b)))) <=> (mult(mult(a, b), mult(a, c)) = mult(a, mult(b, mult(a, c))))),
% 4.79/4.97 inference(symmetry,[status(thm)],[6072])).
% 4.79/4.97 tff(6074,plain,
% 4.79/4.97 (mult(a, mult(a, mult(c, b))) = mult(mult(a, c), mult(a, b))),
% 4.79/4.97 inference(transitivity,[status(thm)],[611, 948])).
% 4.79/4.97 tff(6075,plain,
% 4.79/4.97 (mult(mult(a, mult(c, b)), a) = mult(a, mult(c, mult(a, b)))),
% 4.79/4.97 inference(transitivity,[status(thm)],[707, 1434])).
% 4.79/4.97 tff(6076,plain,
% 4.79/4.97 ((mult(mult(a, mult(c, b)), a) = mult(a, mult(a, mult(c, b)))) <=> (mult(a, mult(c, mult(a, b))) = mult(mult(a, c), mult(a, b)))),
% 4.79/4.97 inference(monotonicity,[status(thm)],[6075, 6074])).
% 4.79/4.97 tff(6077,plain,
% 4.79/4.97 ((mult(mult(a, mult(c, b)), a) = mult(a, mult(a, mult(c, b)))) <=> (mult(mult(a, c), mult(a, b)) = mult(a, mult(c, mult(a, b))))),
% 4.79/4.97 inference(transitivity,[status(thm)],[6076, 2605])).
% 4.79/4.97 tff(6078,plain,
% 4.79/4.97 ((mult(mult(a, mult(c, b)), a) = mult(a, mult(a, mult(c, b)))) <=> (mult(mult(a, b), mult(a, c)) = mult(a, mult(b, mult(a, c))))),
% 4.79/4.98 inference(transitivity,[status(thm)],[6077, 6073])).
% 4.79/4.98 tff(6079,plain,
% 4.79/4.98 ((~(mult(mult(a, mult(c, b)), a) = mult(a, mult(a, mult(c, b))))) <=> (~(mult(mult(a, b), mult(a, c)) = mult(a, mult(b, mult(a, c)))))),
% 4.79/4.98 inference(monotonicity,[status(thm)],[6078])).
% 4.79/4.98 tff(6080,plain,
% 4.79/4.98 (~(mult(mult(a, mult(c, b)), a) = mult(a, mult(a, mult(c, b))))),
% 4.79/4.98 inference(unit_resolution,[status(thm)],[599, 593, 41, 91, 594])).
% 4.79/4.98 tff(6081,plain,
% 4.79/4.98 (~(mult(mult(a, b), mult(a, c)) = mult(a, mult(b, mult(a, c))))),
% 4.79/4.98 inference(modus_ponens,[status(thm)],[6080, 6079])).
% 4.79/4.98 tff(6082,plain,
% 4.79/4.98 ((~(mult(mult(a, mult(a, c)), b) = mult(a, mult(mult(a, c), b)))) | (~(mult(mult(a, b), mult(a, c)) = mult(a, mult(b, mult(a, c)))))),
% 4.79/4.98 inference(unit_resolution,[status(thm)],[145, 6081])).
% 4.79/4.98 tff(6083,plain,
% 4.79/4.98 (~((~(mult(mult(a, mult(a, c)), b) = mult(a, mult(b, mult(a, c))))) | (~(mult(mult(a, b), mult(a, c)) = mult(a, mult(mult(a, c), b)))))),
% 4.79/4.98 inference(unit_resolution,[status(thm)],[143, 6082])).
% 4.79/4.98 tff(6084,plain,
% 4.79/4.98 (mult(mult(a, b), mult(a, c)) = mult(a, mult(mult(a, c), b))),
% 4.79/4.98 inference(unit_resolution,[status(thm)],[138, 6083])).
% 4.79/4.98 tff(6085,plain,
% 4.79/4.98 (mult(mult(mult(a, b), c), a) = mult(mult(a, a), mult(b, c))),
% 4.79/4.98 inference(transitivity,[status(thm)],[168, 6084, 5687, 6067])).
% 4.79/4.98 tff(6086,plain,
% 4.79/4.98 (mult(mult(mult(mult(a, b), c), a), a) = mult(mult(mult(a, a), mult(b, c)), a)),
% 4.79/4.98 inference(monotonicity,[status(thm)],[6085])).
% 4.79/4.98 tff(6087,plain,
% 4.79/4.98 (mult(mult(mult(a, a), mult(b, c)), a) = mult(mult(mult(mult(a, b), c), a), a)),
% 4.79/4.98 inference(symmetry,[status(thm)],[6086])).
% 4.79/4.98 tff(6088,plain,
% 4.79/4.98 (mult(mult(a, mult(b, c)), a) = mult(mult(a, c), mult(a, b))),
% 4.79/4.98 inference(transitivity,[status(thm)],[607, 594])).
% 4.79/4.98 tff(6089,plain,
% 4.79/4.98 (mult(a, mult(mult(a, mult(b, c)), a)) = mult(a, mult(mult(a, c), mult(a, b)))),
% 4.79/4.98 inference(monotonicity,[status(thm)],[6088])).
% 4.79/4.98 tff(6090,plain,
% 4.79/4.98 (mult(a, mult(mult(a, c), mult(a, b))) = mult(a, mult(mult(a, mult(b, c)), a))),
% 4.79/4.98 inference(symmetry,[status(thm)],[6089])).
% 4.79/4.98 tff(6091,plain,
% 4.79/4.98 (mult(mult(a, c), mult(a, b)) = mult(a, mult(a, mult(c, b)))),
% 4.79/4.98 inference(transitivity,[status(thm)],[593, 612])).
% 4.79/4.98 tff(6092,plain,
% 4.79/4.98 (mult(a, mult(mult(a, c), mult(a, b))) = mult(a, mult(a, mult(a, mult(c, b))))),
% 4.79/4.98 inference(monotonicity,[status(thm)],[6091])).
% 4.79/4.98 tff(6093,plain,
% 4.79/4.98 (mult(a, mult(a, mult(a, mult(c, b)))) = mult(a, mult(mult(a, c), mult(a, b)))),
% 4.79/4.98 inference(symmetry,[status(thm)],[6092])).
% 4.79/4.98 tff(6094,plain,
% 4.79/4.98 ((~(mult(mult(a, mult(c, b)), a) = mult(a, mult(a, mult(c, b))))) <=> (~(mult(mult(a, c), mult(a, b)) = mult(a, mult(c, mult(a, b)))))),
% 4.79/4.98 inference(monotonicity,[status(thm)],[6077])).
% 4.79/4.98 tff(6095,plain,
% 4.79/4.98 (~(mult(mult(a, c), mult(a, b)) = mult(a, mult(c, mult(a, b))))),
% 4.79/4.98 inference(modus_ponens,[status(thm)],[6080, 6094])).
% 4.79/4.98 tff(6096,plain,
% 4.79/4.98 (~(mult(mult(a, mult(a, mult(c, b))), a) = mult(a, mult(a, mult(a, mult(c, b)))))),
% 4.79/4.98 inference(unit_resolution,[status(thm)],[5422, 6095, 707, 1110, 91])).
% 4.79/4.98 tff(6097,plain,
% 4.79/4.98 ((~(mult(mult(a, a), mult(a, mult(c, b))) = mult(a, mult(mult(a, mult(c, b)), a)))) | (~(mult(mult(a, mult(a, mult(c, b))), a) = mult(a, mult(a, mult(a, mult(c, b))))))),
% 4.79/4.98 inference(unit_resolution,[status(thm)],[4731, 6096])).
% 4.79/4.98 tff(6098,plain,
% 4.79/4.98 (~((~(mult(mult(a, a), mult(a, mult(c, b))) = mult(a, mult(a, mult(a, mult(c, b)))))) | (~(mult(mult(a, mult(a, mult(c, b))), a) = mult(a, mult(mult(a, mult(c, b)), a)))))),
% 4.79/4.98 inference(unit_resolution,[status(thm)],[4743, 6097])).
% 4.79/4.98 tff(6099,plain,
% 4.79/4.98 (mult(mult(a, a), mult(a, mult(c, b))) = mult(a, mult(a, mult(a, mult(c, b))))),
% 4.79/4.98 inference(unit_resolution,[status(thm)],[5439, 6098])).
% 4.79/4.98 tff(6100,plain,
% 4.79/4.98 (mult(mult(a, a), mult(mult(b, c), a)) = mult(mult(mult(mult(a, b), c), a), a)),
% 4.79/4.98 inference(transitivity,[status(thm)],[6063, 6099, 6093, 6090, 5637, 6087])).
% 4.79/4.98 tff(6101,plain,
% 4.79/4.98 (mult(mult(mult(a, a), mult(mult(b, c), a)), b) = mult(mult(mult(mult(mult(a, b), c), a), a), b)),
% 4.79/4.98 inference(monotonicity,[status(thm)],[6100])).
% 4.79/4.98 tff(6102,plain,
% 4.79/4.98 (mult(mult(mult(mult(mult(a, b), c), a), a), b) = mult(mult(mult(a, a), mult(mult(b, c), a)), b)),
% 4.79/4.98 inference(symmetry,[status(thm)],[6101])).
% 4.79/4.98 tff(6103,plain,
% 4.79/4.98 (mult(mult(mult(mult(mult(a, b), c), a), a), b) = mult(mult(mult(mult(a, mult(c, b)), a), a), b)),
% 4.79/4.98 inference(monotonicity,[status(thm)],[4723])).
% 4.79/4.98 tff(6104,plain,
% 4.79/4.98 (mult(mult(mult(mult(a, mult(c, b)), a), a), b) = mult(mult(mult(mult(mult(a, b), c), a), a), b)),
% 4.79/4.98 inference(symmetry,[status(thm)],[6103])).
% 4.79/4.98 tff(6105,plain,
% 4.79/4.98 (mult(mult(mult(mult(a, mult(c, b)), a), b), a) = mult(mult(mult(mult(mult(a, b), c), a), b), a)),
% 4.79/4.98 inference(monotonicity,[status(thm)],[5299])).
% 4.79/4.98 tff(6106,plain,
% 4.79/4.98 ((mult(mult(mult(mult(a, mult(c, b)), a), b), a) = mult(mult(mult(a, mult(c, b)), a), mult(a, b))) <=> (mult(mult(mult(mult(mult(a, b), c), a), b), a) = mult(mult(mult(mult(a, b), c), a), mult(a, b)))),
% 4.79/4.98 inference(monotonicity,[status(thm)],[6105, 5977])).
% 4.79/4.98 tff(6107,plain,
% 4.79/4.98 ((mult(mult(mult(mult(mult(a, b), c), a), b), a) = mult(mult(mult(mult(a, b), c), a), mult(a, b))) <=> (mult(mult(mult(mult(a, mult(c, b)), a), b), a) = mult(mult(mult(a, mult(c, b)), a), mult(a, b)))),
% 4.79/4.98 inference(symmetry,[status(thm)],[6106])).
% 4.79/4.98 tff(6108,plain,
% 4.79/4.98 ((~(mult(mult(mult(mult(mult(a, b), c), a), b), a) = mult(mult(mult(mult(a, b), c), a), mult(a, b)))) <=> (~(mult(mult(mult(mult(a, mult(c, b)), a), b), a) = mult(mult(mult(a, mult(c, b)), a), mult(a, b))))),
% 4.79/4.98 inference(monotonicity,[status(thm)],[6107])).
% 4.79/4.98 tff(6109,assumption,(~(mult(mult(mult(mult(mult(a, b), c), a), b), a) = mult(mult(mult(mult(a, b), c), a), mult(a, b)))), introduced(assumption)).
% 4.79/4.98 tff(6110,plain,
% 4.79/4.98 (~(mult(mult(mult(mult(a, mult(c, b)), a), b), a) = mult(mult(mult(a, mult(c, b)), a), mult(a, b)))),
% 4.79/4.98 inference(modus_ponens,[status(thm)],[6109, 6108])).
% 4.79/4.98 tff(6111,plain,
% 4.79/4.98 (((~(mult(mult(mult(mult(a, mult(c, b)), a), a), b) = mult(mult(mult(a, mult(c, b)), a), mult(b, a)))) | (~(mult(mult(mult(mult(a, mult(c, b)), a), b), a) = mult(mult(mult(a, mult(c, b)), a), mult(a, b))))) | (mult(mult(mult(mult(a, mult(c, b)), a), b), a) = mult(mult(mult(a, mult(c, b)), a), mult(a, b)))),
% 4.79/4.98 inference(tautology,[status(thm)],[])).
% 4.79/4.98 tff(6112,plain,
% 4.79/4.98 ((~(mult(mult(mult(mult(a, mult(c, b)), a), a), b) = mult(mult(mult(a, mult(c, b)), a), mult(b, a)))) | (~(mult(mult(mult(mult(a, mult(c, b)), a), b), a) = mult(mult(mult(a, mult(c, b)), a), mult(a, b))))),
% 4.79/4.98 inference(unit_resolution,[status(thm)],[6111, 6110])).
% 4.79/4.98 tff(6113,plain,
% 4.79/4.98 (((~![X0: $i, X1: $i, X2: $i] : ((~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X2, X1)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X1, X2)))))) | (~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X1, X2)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X2, X1)))))))) | ((~((~(mult(mult(mult(mult(a, mult(c, b)), a), a), b) = mult(mult(mult(a, mult(c, b)), a), mult(a, b)))) | (~(mult(mult(mult(mult(a, mult(c, b)), a), b), a) = mult(mult(mult(a, mult(c, b)), a), mult(b, a)))))) | (~((~(mult(mult(mult(mult(a, mult(c, b)), a), a), b) = mult(mult(mult(a, mult(c, b)), a), mult(b, a)))) | (~(mult(mult(mult(mult(a, mult(c, b)), a), b), a) = mult(mult(mult(a, mult(c, b)), a), mult(a, b)))))))) <=> ((~![X0: $i, X1: $i, X2: $i] : ((~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X2, X1)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X1, X2)))))) | (~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X1, X2)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X2, X1)))))))) | (~((~(mult(mult(mult(mult(a, mult(c, b)), a), a), b) = mult(mult(mult(a, mult(c, b)), a), mult(a, b)))) | (~(mult(mult(mult(mult(a, mult(c, b)), a), b), a) = mult(mult(mult(a, mult(c, b)), a), mult(b, a)))))) | (~((~(mult(mult(mult(mult(a, mult(c, b)), a), a), b) = mult(mult(mult(a, mult(c, b)), a), mult(b, a)))) | (~(mult(mult(mult(mult(a, mult(c, b)), a), b), a) = mult(mult(mult(a, mult(c, b)), a), mult(a, b)))))))),
% 4.79/4.98 inference(rewrite,[status(thm)],[])).
% 4.79/4.98 tff(6114,plain,
% 4.79/4.98 (((~((~(mult(mult(mult(mult(a, mult(c, b)), a), a), b) = mult(mult(mult(a, mult(c, b)), a), mult(b, a)))) | (~(mult(mult(mult(mult(a, mult(c, b)), a), b), a) = mult(mult(mult(a, mult(c, b)), a), mult(a, b)))))) | (~((~(mult(mult(mult(mult(a, mult(c, b)), a), a), b) = mult(mult(mult(a, mult(c, b)), a), mult(a, b)))) | (~(mult(mult(mult(mult(a, mult(c, b)), a), b), a) = mult(mult(mult(a, mult(c, b)), a), mult(b, a))))))) <=> ((~((~(mult(mult(mult(mult(a, mult(c, b)), a), a), b) = mult(mult(mult(a, mult(c, b)), a), mult(a, b)))) | (~(mult(mult(mult(mult(a, mult(c, b)), a), b), a) = mult(mult(mult(a, mult(c, b)), a), mult(b, a)))))) | (~((~(mult(mult(mult(mult(a, mult(c, b)), a), a), b) = mult(mult(mult(a, mult(c, b)), a), mult(b, a)))) | (~(mult(mult(mult(mult(a, mult(c, b)), a), b), a) = mult(mult(mult(a, mult(c, b)), a), mult(a, b)))))))),
% 4.79/4.98 inference(rewrite,[status(thm)],[])).
% 4.79/4.98 tff(6115,plain,
% 4.79/4.98 (((~![X0: $i, X1: $i, X2: $i] : ((~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X2, X1)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X1, X2)))))) | (~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X1, X2)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X2, X1)))))))) | ((~((~(mult(mult(mult(mult(a, mult(c, b)), a), a), b) = mult(mult(mult(a, mult(c, b)), a), mult(b, a)))) | (~(mult(mult(mult(mult(a, mult(c, b)), a), b), a) = mult(mult(mult(a, mult(c, b)), a), mult(a, b)))))) | (~((~(mult(mult(mult(mult(a, mult(c, b)), a), a), b) = mult(mult(mult(a, mult(c, b)), a), mult(a, b)))) | (~(mult(mult(mult(mult(a, mult(c, b)), a), b), a) = mult(mult(mult(a, mult(c, b)), a), mult(b, a)))))))) <=> ((~![X0: $i, X1: $i, X2: $i] : ((~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X2, X1)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X1, X2)))))) | (~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X1, X2)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X2, X1)))))))) | ((~((~(mult(mult(mult(mult(a, mult(c, b)), a), a), b) = mult(mult(mult(a, mult(c, b)), a), mult(a, b)))) | (~(mult(mult(mult(mult(a, mult(c, b)), a), b), a) = mult(mult(mult(a, mult(c, b)), a), mult(b, a)))))) | (~((~(mult(mult(mult(mult(a, mult(c, b)), a), a), b) = mult(mult(mult(a, mult(c, b)), a), mult(b, a)))) | (~(mult(mult(mult(mult(a, mult(c, b)), a), b), a) = mult(mult(mult(a, mult(c, b)), a), mult(a, b))))))))),
% 4.79/4.98 inference(monotonicity,[status(thm)],[6114])).
% 4.79/4.98 tff(6116,plain,
% 4.79/4.98 (((~![X0: $i, X1: $i, X2: $i] : ((~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X2, X1)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X1, X2)))))) | (~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X1, X2)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X2, X1)))))))) | ((~((~(mult(mult(mult(mult(a, mult(c, b)), a), a), b) = mult(mult(mult(a, mult(c, b)), a), mult(b, a)))) | (~(mult(mult(mult(mult(a, mult(c, b)), a), b), a) = mult(mult(mult(a, mult(c, b)), a), mult(a, b)))))) | (~((~(mult(mult(mult(mult(a, mult(c, b)), a), a), b) = mult(mult(mult(a, mult(c, b)), a), mult(a, b)))) | (~(mult(mult(mult(mult(a, mult(c, b)), a), b), a) = mult(mult(mult(a, mult(c, b)), a), mult(b, a)))))))) <=> ((~![X0: $i, X1: $i, X2: $i] : ((~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X2, X1)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X1, X2)))))) | (~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X1, X2)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X2, X1)))))))) | (~((~(mult(mult(mult(mult(a, mult(c, b)), a), a), b) = mult(mult(mult(a, mult(c, b)), a), mult(a, b)))) | (~(mult(mult(mult(mult(a, mult(c, b)), a), b), a) = mult(mult(mult(a, mult(c, b)), a), mult(b, a)))))) | (~((~(mult(mult(mult(mult(a, mult(c, b)), a), a), b) = mult(mult(mult(a, mult(c, b)), a), mult(b, a)))) | (~(mult(mult(mult(mult(a, mult(c, b)), a), b), a) = mult(mult(mult(a, mult(c, b)), a), mult(a, b)))))))),
% 4.79/4.98 inference(transitivity,[status(thm)],[6115, 6113])).
% 4.79/4.98 tff(6117,plain,
% 4.79/4.98 ((~![X0: $i, X1: $i, X2: $i] : ((~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X2, X1)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X1, X2)))))) | (~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X1, X2)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X2, X1)))))))) | ((~((~(mult(mult(mult(mult(a, mult(c, b)), a), a), b) = mult(mult(mult(a, mult(c, b)), a), mult(b, a)))) | (~(mult(mult(mult(mult(a, mult(c, b)), a), b), a) = mult(mult(mult(a, mult(c, b)), a), mult(a, b)))))) | (~((~(mult(mult(mult(mult(a, mult(c, b)), a), a), b) = mult(mult(mult(a, mult(c, b)), a), mult(a, b)))) | (~(mult(mult(mult(mult(a, mult(c, b)), a), b), a) = mult(mult(mult(a, mult(c, b)), a), mult(b, a)))))))),
% 4.79/4.98 inference(quant_inst,[status(thm)],[])).
% 4.79/4.98 tff(6118,plain,
% 4.79/4.98 ((~![X0: $i, X1: $i, X2: $i] : ((~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X2, X1)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X1, X2)))))) | (~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X1, X2)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X2, X1)))))))) | (~((~(mult(mult(mult(mult(a, mult(c, b)), a), a), b) = mult(mult(mult(a, mult(c, b)), a), mult(a, b)))) | (~(mult(mult(mult(mult(a, mult(c, b)), a), b), a) = mult(mult(mult(a, mult(c, b)), a), mult(b, a)))))) | (~((~(mult(mult(mult(mult(a, mult(c, b)), a), a), b) = mult(mult(mult(a, mult(c, b)), a), mult(b, a)))) | (~(mult(mult(mult(mult(a, mult(c, b)), a), b), a) = mult(mult(mult(a, mult(c, b)), a), mult(a, b))))))),
% 4.79/4.98 inference(modus_ponens,[status(thm)],[6117, 6116])).
% 4.79/4.98 tff(6119,plain,
% 4.79/4.98 ((~((~(mult(mult(mult(mult(a, mult(c, b)), a), a), b) = mult(mult(mult(a, mult(c, b)), a), mult(a, b)))) | (~(mult(mult(mult(mult(a, mult(c, b)), a), b), a) = mult(mult(mult(a, mult(c, b)), a), mult(b, a)))))) | (~((~(mult(mult(mult(mult(a, mult(c, b)), a), a), b) = mult(mult(mult(a, mult(c, b)), a), mult(b, a)))) | (~(mult(mult(mult(mult(a, mult(c, b)), a), b), a) = mult(mult(mult(a, mult(c, b)), a), mult(a, b))))))),
% 4.79/4.98 inference(unit_resolution,[status(thm)],[6118, 30])).
% 4.79/4.98 tff(6120,plain,
% 4.79/4.98 (~((~(mult(mult(mult(mult(a, mult(c, b)), a), a), b) = mult(mult(mult(a, mult(c, b)), a), mult(a, b)))) | (~(mult(mult(mult(mult(a, mult(c, b)), a), b), a) = mult(mult(mult(a, mult(c, b)), a), mult(b, a)))))),
% 4.79/4.98 inference(unit_resolution,[status(thm)],[6119, 6112])).
% 4.79/4.98 tff(6121,plain,
% 4.79/4.98 (((~(mult(mult(mult(mult(a, mult(c, b)), a), a), b) = mult(mult(mult(a, mult(c, b)), a), mult(a, b)))) | (~(mult(mult(mult(mult(a, mult(c, b)), a), b), a) = mult(mult(mult(a, mult(c, b)), a), mult(b, a))))) | (mult(mult(mult(mult(a, mult(c, b)), a), a), b) = mult(mult(mult(a, mult(c, b)), a), mult(a, b)))),
% 4.79/4.98 inference(tautology,[status(thm)],[])).
% 4.79/4.98 tff(6122,plain,
% 4.79/4.98 (mult(mult(mult(mult(a, mult(c, b)), a), a), b) = mult(mult(mult(a, mult(c, b)), a), mult(a, b))),
% 4.79/4.98 inference(unit_resolution,[status(thm)],[6121, 6120])).
% 4.79/4.98 tff(6123,plain,
% 4.79/4.98 (mult(mult(mult(a, mult(c, b)), a), mult(a, b)) = mult(mult(mult(mult(a, mult(c, b)), a), a), b)),
% 4.79/4.98 inference(symmetry,[status(thm)],[6122])).
% 4.79/4.98 tff(6124,plain,
% 4.79/4.98 (mult(mult(a, mult(a, b)), c) = mult(mult(mult(a, b), c), a)),
% 4.79/4.98 inference(transitivity,[status(thm)],[269, 1414, 708, 609])).
% 4.79/4.98 tff(6125,plain,
% 4.79/4.98 (mult(mult(mult(a, mult(a, b)), c), mult(a, b)) = mult(mult(mult(mult(a, b), c), a), mult(a, b))),
% 4.79/4.98 inference(monotonicity,[status(thm)],[6124])).
% 4.79/4.98 tff(6126,plain,
% 4.79/4.98 ((~![C: $i, B: $i, A: $i] : (mult(mult(mult(A, B), C), B) = mult(A, mult(mult(B, C), B)))) | (mult(mult(mult(a, mult(a, b)), c), mult(a, b)) = mult(a, mult(mult(mult(a, b), c), mult(a, b))))),
% 4.79/4.98 inference(quant_inst,[status(thm)],[])).
% 4.79/4.98 tff(6127,plain,
% 4.79/4.98 (mult(mult(mult(a, mult(a, b)), c), mult(a, b)) = mult(a, mult(mult(mult(a, b), c), mult(a, b)))),
% 4.79/4.98 inference(unit_resolution,[status(thm)],[6126, 860])).
% 4.79/4.98 tff(6128,plain,
% 4.79/4.98 (mult(a, mult(mult(mult(a, b), c), mult(a, b))) = mult(mult(mult(a, mult(a, b)), c), mult(a, b))),
% 4.79/4.98 inference(symmetry,[status(thm)],[6127])).
% 4.79/4.98 tff(6129,plain,
% 4.79/4.98 (mult(mult(a, b), c) = mult(mult(b, c), a)),
% 4.79/4.98 inference(transitivity,[status(thm)],[91, 803, 6040, 4716])).
% 4.79/4.98 tff(6130,plain,
% 4.79/4.98 (mult(mult(mult(a, b), c), mult(a, b)) = mult(mult(mult(b, c), a), mult(a, b))),
% 4.79/4.98 inference(monotonicity,[status(thm)],[6129])).
% 4.79/4.98 tff(6131,plain,
% 4.79/4.98 (mult(mult(mult(b, c), a), mult(a, b)) = mult(mult(mult(a, b), c), mult(a, b))),
% 4.79/4.98 inference(symmetry,[status(thm)],[6130])).
% 4.79/4.98 tff(6132,plain,
% 4.79/4.98 (mult(a, mult(mult(mult(b, c), a), mult(a, b))) = mult(a, mult(mult(mult(a, b), c), mult(a, b)))),
% 4.79/4.99 inference(monotonicity,[status(thm)],[6131])).
% 4.79/4.99 tff(6133,plain,
% 4.79/4.99 ((~![B: $i, A: $i] : (rd(mult(A, B), B) = A)) | (rd(mult(mult(mult(mult(b, c), a), mult(a, b)), a), a) = mult(mult(mult(b, c), a), mult(a, b)))),
% 4.79/4.99 inference(quant_inst,[status(thm)],[])).
% 4.79/4.99 tff(6134,plain,
% 4.79/4.99 (rd(mult(mult(mult(mult(b, c), a), mult(a, b)), a), a) = mult(mult(mult(b, c), a), mult(a, b))),
% 4.79/4.99 inference(unit_resolution,[status(thm)],[6133, 72])).
% 4.79/4.99 tff(6135,plain,
% 4.79/4.99 (mult(mult(mult(a, b), mult(a, c)), b) = mult(mult(mult(mult(a, b), c), a), b)),
% 4.79/4.99 inference(monotonicity,[status(thm)],[403])).
% 4.79/4.99 tff(6136,plain,
% 4.79/4.99 ((~![C: $i, B: $i, A: $i] : (mult(mult(mult(A, B), C), B) = mult(A, mult(mult(B, C), B)))) | (mult(mult(mult(a, b), mult(a, c)), b) = mult(a, mult(mult(b, mult(a, c)), b)))),
% 4.79/4.99 inference(quant_inst,[status(thm)],[])).
% 4.79/4.99 tff(6137,plain,
% 4.79/4.99 (mult(mult(mult(a, b), mult(a, c)), b) = mult(a, mult(mult(b, mult(a, c)), b))),
% 4.79/4.99 inference(unit_resolution,[status(thm)],[6136, 860])).
% 4.79/4.99 tff(6138,plain,
% 4.79/4.99 (mult(a, mult(mult(b, mult(a, c)), b)) = mult(mult(mult(a, b), mult(a, c)), b)),
% 4.79/4.99 inference(symmetry,[status(thm)],[6137])).
% 4.79/4.99 tff(6139,plain,
% 4.79/4.99 (mult(mult(b, mult(a, c)), b) = mult(mult(mult(b, c), a), b)),
% 4.79/4.99 inference(monotonicity,[status(thm)],[5317])).
% 4.79/4.99 tff(6140,plain,
% 4.79/4.99 (mult(mult(mult(b, c), a), b) = mult(mult(b, mult(a, c)), b)),
% 4.79/4.99 inference(symmetry,[status(thm)],[6139])).
% 4.79/4.99 tff(6141,plain,
% 4.79/4.99 (mult(a, mult(mult(mult(b, c), a), b)) = mult(a, mult(mult(b, mult(a, c)), b))),
% 4.79/4.99 inference(monotonicity,[status(thm)],[6140])).
% 4.79/4.99 tff(6142,plain,
% 4.79/4.99 (mult(a, mult(mult(mult(b, c), a), b)) = mult(mult(mult(mult(a, b), c), a), b)),
% 4.79/4.99 inference(transitivity,[status(thm)],[6141, 6138, 6135])).
% 4.79/4.99 tff(6143,plain,
% 4.79/4.99 (mult(mult(a, mult(mult(mult(b, c), a), b)), a) = mult(mult(mult(mult(mult(a, b), c), a), b), a)),
% 4.79/4.99 inference(monotonicity,[status(thm)],[6142])).
% 4.79/4.99 tff(6144,plain,
% 4.79/4.99 (mult(mult(mult(mult(mult(a, b), c), a), b), a) = mult(mult(a, mult(mult(mult(b, c), a), b)), a)),
% 4.79/4.99 inference(symmetry,[status(thm)],[6143])).
% 4.79/4.99 tff(6145,plain,
% 4.79/4.99 (((~(mult(mult(mult(mult(b, c), a), mult(a, b)), a) = mult(mult(mult(b, c), a), mult(a, mult(a, b))))) | (~(mult(mult(mult(mult(b, c), a), a), mult(a, b)) = mult(mult(mult(b, c), a), mult(mult(a, b), a))))) | (mult(mult(mult(mult(b, c), a), a), mult(a, b)) = mult(mult(mult(b, c), a), mult(mult(a, b), a)))),
% 4.79/4.99 inference(tautology,[status(thm)],[])).
% 4.79/4.99 tff(6146,plain,
% 4.79/4.99 ((~(mult(mult(mult(mult(b, c), a), mult(a, b)), a) = mult(mult(mult(b, c), a), mult(a, mult(a, b))))) | (~(mult(mult(mult(mult(b, c), a), a), mult(a, b)) = mult(mult(mult(b, c), a), mult(mult(a, b), a))))),
% 4.79/4.99 inference(unit_resolution,[status(thm)],[6145, 6057])).
% 4.79/4.99 tff(6147,plain,
% 4.79/4.99 (((~![X0: $i, X1: $i, X2: $i] : ((~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X2, X1)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X1, X2)))))) | (~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X1, X2)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X2, X1)))))))) | ((~((~(mult(mult(mult(mult(b, c), a), mult(a, b)), a) = mult(mult(mult(b, c), a), mult(a, mult(a, b))))) | (~(mult(mult(mult(mult(b, c), a), a), mult(a, b)) = mult(mult(mult(b, c), a), mult(mult(a, b), a)))))) | (~((~(mult(mult(mult(mult(b, c), a), mult(a, b)), a) = mult(mult(mult(b, c), a), mult(mult(a, b), a)))) | (~(mult(mult(mult(mult(b, c), a), a), mult(a, b)) = mult(mult(mult(b, c), a), mult(a, mult(a, b))))))))) <=> ((~![X0: $i, X1: $i, X2: $i] : ((~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X2, X1)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X1, X2)))))) | (~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X1, X2)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X2, X1)))))))) | (~((~(mult(mult(mult(mult(b, c), a), mult(a, b)), a) = mult(mult(mult(b, c), a), mult(a, mult(a, b))))) | (~(mult(mult(mult(mult(b, c), a), a), mult(a, b)) = mult(mult(mult(b, c), a), mult(mult(a, b), a)))))) | (~((~(mult(mult(mult(mult(b, c), a), mult(a, b)), a) = mult(mult(mult(b, c), a), mult(mult(a, b), a)))) | (~(mult(mult(mult(mult(b, c), a), a), mult(a, b)) = mult(mult(mult(b, c), a), mult(a, mult(a, b))))))))),
% 4.79/4.99 inference(rewrite,[status(thm)],[])).
% 4.79/4.99 tff(6148,plain,
% 4.79/4.99 ((~![X0: $i, X1: $i, X2: $i] : ((~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X2, X1)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X1, X2)))))) | (~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X1, X2)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X2, X1)))))))) | ((~((~(mult(mult(mult(mult(b, c), a), mult(a, b)), a) = mult(mult(mult(b, c), a), mult(a, mult(a, b))))) | (~(mult(mult(mult(mult(b, c), a), a), mult(a, b)) = mult(mult(mult(b, c), a), mult(mult(a, b), a)))))) | (~((~(mult(mult(mult(mult(b, c), a), mult(a, b)), a) = mult(mult(mult(b, c), a), mult(mult(a, b), a)))) | (~(mult(mult(mult(mult(b, c), a), a), mult(a, b)) = mult(mult(mult(b, c), a), mult(a, mult(a, b))))))))),
% 4.79/4.99 inference(quant_inst,[status(thm)],[])).
% 4.79/4.99 tff(6149,plain,
% 4.79/4.99 ((~![X0: $i, X1: $i, X2: $i] : ((~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X2, X1)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X1, X2)))))) | (~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X1, X2)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X2, X1)))))))) | (~((~(mult(mult(mult(mult(b, c), a), mult(a, b)), a) = mult(mult(mult(b, c), a), mult(a, mult(a, b))))) | (~(mult(mult(mult(mult(b, c), a), a), mult(a, b)) = mult(mult(mult(b, c), a), mult(mult(a, b), a)))))) | (~((~(mult(mult(mult(mult(b, c), a), mult(a, b)), a) = mult(mult(mult(b, c), a), mult(mult(a, b), a)))) | (~(mult(mult(mult(mult(b, c), a), a), mult(a, b)) = mult(mult(mult(b, c), a), mult(a, mult(a, b)))))))),
% 4.79/4.99 inference(modus_ponens,[status(thm)],[6148, 6147])).
% 4.79/4.99 tff(6150,plain,
% 4.79/4.99 (~((~(mult(mult(mult(mult(b, c), a), mult(a, b)), a) = mult(mult(mult(b, c), a), mult(mult(a, b), a)))) | (~(mult(mult(mult(mult(b, c), a), a), mult(a, b)) = mult(mult(mult(b, c), a), mult(a, mult(a, b))))))),
% 4.79/4.99 inference(unit_resolution,[status(thm)],[6149, 30, 6146])).
% 4.79/4.99 tff(6151,plain,
% 4.79/4.99 (((~(mult(mult(mult(mult(b, c), a), mult(a, b)), a) = mult(mult(mult(b, c), a), mult(mult(a, b), a)))) | (~(mult(mult(mult(mult(b, c), a), a), mult(a, b)) = mult(mult(mult(b, c), a), mult(a, mult(a, b)))))) | (mult(mult(mult(mult(b, c), a), mult(a, b)), a) = mult(mult(mult(b, c), a), mult(mult(a, b), a)))),
% 4.79/4.99 inference(tautology,[status(thm)],[])).
% 4.79/4.99 tff(6152,plain,
% 4.79/4.99 (mult(mult(mult(mult(b, c), a), mult(a, b)), a) = mult(mult(mult(b, c), a), mult(mult(a, b), a))),
% 4.79/4.99 inference(unit_resolution,[status(thm)],[6151, 6150])).
% 4.79/4.99 tff(6153,plain,
% 4.79/4.99 (mult(mult(mult(mult(b, c), a), mult(a, b)), a) = mult(mult(a, mult(mult(mult(b, c), a), b)), a)),
% 4.79/4.99 inference(transitivity,[status(thm)],[6152, 6049, 6046, 6144])).
% 4.79/4.99 tff(6154,plain,
% 4.79/4.99 (rd(mult(mult(mult(mult(b, c), a), mult(a, b)), a), a) = rd(mult(mult(a, mult(mult(mult(b, c), a), b)), a), a)),
% 4.79/4.99 inference(monotonicity,[status(thm)],[6153])).
% 4.79/4.99 tff(6155,plain,
% 4.79/4.99 (rd(mult(mult(a, mult(mult(mult(b, c), a), b)), a), a) = rd(mult(mult(mult(mult(b, c), a), mult(a, b)), a), a)),
% 4.79/4.99 inference(symmetry,[status(thm)],[6154])).
% 4.79/4.99 tff(6156,plain,
% 4.79/4.99 ((~![B: $i, A: $i] : (rd(mult(A, B), B) = A)) | (rd(mult(mult(a, mult(mult(mult(b, c), a), b)), a), a) = mult(a, mult(mult(mult(b, c), a), b)))),
% 4.79/4.99 inference(quant_inst,[status(thm)],[])).
% 4.79/4.99 tff(6157,plain,
% 4.79/4.99 (rd(mult(mult(a, mult(mult(mult(b, c), a), b)), a), a) = mult(a, mult(mult(mult(b, c), a), b))),
% 4.79/4.99 inference(unit_resolution,[status(thm)],[6156, 72])).
% 4.79/4.99 tff(6158,plain,
% 4.79/4.99 (mult(a, mult(mult(mult(b, c), a), b)) = rd(mult(mult(a, mult(mult(mult(b, c), a), b)), a), a)),
% 4.79/4.99 inference(symmetry,[status(thm)],[6157])).
% 4.79/4.99 tff(6159,plain,
% 4.79/4.99 (mult(a, mult(mult(b, mult(a, c)), b)) = mult(a, mult(mult(mult(b, c), a), b))),
% 4.79/4.99 inference(symmetry,[status(thm)],[6141])).
% 4.79/4.99 tff(6160,plain,
% 4.79/4.99 (mult(mult(mult(mult(a, b), c), a), b) = mult(mult(mult(a, b), mult(a, c)), b)),
% 4.79/4.99 inference(symmetry,[status(thm)],[6135])).
% 4.79/4.99 tff(6161,plain,
% 4.79/4.99 (mult(a, mult(c, mult(a, b))) = mult(mult(mult(a, b), c), a)),
% 4.79/4.99 inference(transitivity,[status(thm)],[1414, 708, 609])).
% 4.79/4.99 tff(6162,plain,
% 4.79/4.99 (mult(mult(a, mult(c, mult(a, b))), b) = mult(mult(mult(mult(a, b), c), a), b)),
% 4.79/4.99 inference(monotonicity,[status(thm)],[6161])).
% 4.79/4.99 tff(6163,plain,
% 4.79/4.99 (mult(mult(a, mult(c, mult(a, b))), b) = mult(mult(mult(b, c), a), mult(a, b))),
% 4.79/4.99 inference(transitivity,[status(thm)],[6162, 6160, 6137, 6159, 6158, 6155, 6134])).
% 4.79/4.99 tff(6164,plain,
% 4.79/4.99 (mult(a, mult(mult(a, mult(c, mult(a, b))), b)) = mult(a, mult(mult(mult(b, c), a), mult(a, b)))),
% 4.79/4.99 inference(monotonicity,[status(thm)],[6163])).
% 4.79/4.99 tff(6165,plain,
% 4.79/4.99 (mult(mult(mult(mult(a, b), c), a), b) = mult(mult(a, mult(c, mult(a, b))), b)),
% 4.79/4.99 inference(symmetry,[status(thm)],[6162])).
% 4.79/4.99 tff(6166,plain,
% 4.79/4.99 (mult(a, mult(mult(mult(b, c), a), b)) = mult(mult(a, mult(c, mult(a, b))), b)),
% 4.79/4.99 inference(transitivity,[status(thm)],[6141, 6138, 6135, 6165])).
% 4.79/4.99 tff(6167,plain,
% 4.79/4.99 (mult(a, mult(a, mult(mult(mult(b, c), a), b))) = mult(a, mult(mult(a, mult(c, mult(a, b))), b))),
% 4.79/4.99 inference(monotonicity,[status(thm)],[6166])).
% 4.79/4.99 tff(6168,plain,
% 4.79/4.99 (mult(a, mult(a, mult(mult(mult(b, c), a), b))) = mult(mult(mult(mult(a, b), c), a), mult(a, b))),
% 4.79/4.99 inference(transitivity,[status(thm)],[6167, 6164, 6132, 6128, 6125])).
% 4.79/4.99 tff(6169,plain,
% 4.79/4.99 ((mult(mult(a, mult(mult(mult(b, c), a), b)), a) = mult(a, mult(a, mult(mult(mult(b, c), a), b)))) <=> (mult(mult(mult(mult(mult(a, b), c), a), b), a) = mult(mult(mult(mult(a, b), c), a), mult(a, b)))),
% 4.79/4.99 inference(monotonicity,[status(thm)],[6143, 6168])).
% 4.79/4.99 tff(6170,plain,
% 4.79/4.99 ((mult(mult(mult(mult(mult(a, b), c), a), b), a) = mult(mult(mult(mult(a, b), c), a), mult(a, b))) <=> (mult(mult(a, mult(mult(mult(b, c), a), b)), a) = mult(a, mult(a, mult(mult(mult(b, c), a), b))))),
% 4.79/4.99 inference(symmetry,[status(thm)],[6169])).
% 4.79/4.99 tff(6171,plain,
% 4.79/4.99 ((~(mult(mult(mult(mult(mult(a, b), c), a), b), a) = mult(mult(mult(mult(a, b), c), a), mult(a, b)))) <=> (~(mult(mult(a, mult(mult(mult(b, c), a), b)), a) = mult(a, mult(a, mult(mult(mult(b, c), a), b)))))),
% 4.79/4.99 inference(monotonicity,[status(thm)],[6170])).
% 4.79/4.99 tff(6172,plain,
% 4.79/4.99 (~(mult(mult(a, mult(mult(mult(b, c), a), b)), a) = mult(a, mult(a, mult(mult(mult(b, c), a), b))))),
% 4.79/4.99 inference(modus_ponens,[status(thm)],[6109, 6171])).
% 4.79/4.99 tff(6173,plain,
% 4.79/4.99 (((~(mult(mult(a, a), mult(mult(mult(b, c), a), b)) = mult(a, mult(mult(mult(mult(b, c), a), b), a)))) | (~(mult(mult(a, mult(mult(mult(b, c), a), b)), a) = mult(a, mult(a, mult(mult(mult(b, c), a), b)))))) | (mult(mult(a, mult(mult(mult(b, c), a), b)), a) = mult(a, mult(a, mult(mult(mult(b, c), a), b))))),
% 4.79/4.99 inference(tautology,[status(thm)],[])).
% 4.79/4.99 tff(6174,plain,
% 4.79/4.99 ((~(mult(mult(a, a), mult(mult(mult(b, c), a), b)) = mult(a, mult(mult(mult(mult(b, c), a), b), a)))) | (~(mult(mult(a, mult(mult(mult(b, c), a), b)), a) = mult(a, mult(a, mult(mult(mult(b, c), a), b)))))),
% 4.79/4.99 inference(unit_resolution,[status(thm)],[6173, 6172])).
% 4.79/4.99 tff(6175,plain,
% 4.79/4.99 (((~![X0: $i, X1: $i, X2: $i] : ((~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X2, X1)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X1, X2)))))) | (~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X1, X2)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X2, X1)))))))) | ((~((~(mult(mult(a, a), mult(mult(mult(b, c), a), b)) = mult(a, mult(a, mult(mult(mult(b, c), a), b))))) | (~(mult(mult(a, mult(mult(mult(b, c), a), b)), a) = mult(a, mult(mult(mult(mult(b, c), a), b), a)))))) | (~((~(mult(mult(a, a), mult(mult(mult(b, c), a), b)) = mult(a, mult(mult(mult(mult(b, c), a), b), a)))) | (~(mult(mult(a, mult(mult(mult(b, c), a), b)), a) = mult(a, mult(a, mult(mult(mult(b, c), a), b))))))))) <=> ((~![X0: $i, X1: $i, X2: $i] : ((~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X2, X1)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X1, X2)))))) | (~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X1, X2)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X2, X1)))))))) | (~((~(mult(mult(a, a), mult(mult(mult(b, c), a), b)) = mult(a, mult(a, mult(mult(mult(b, c), a), b))))) | (~(mult(mult(a, mult(mult(mult(b, c), a), b)), a) = mult(a, mult(mult(mult(mult(b, c), a), b), a)))))) | (~((~(mult(mult(a, a), mult(mult(mult(b, c), a), b)) = mult(a, mult(mult(mult(mult(b, c), a), b), a)))) | (~(mult(mult(a, mult(mult(mult(b, c), a), b)), a) = mult(a, mult(a, mult(mult(mult(b, c), a), b))))))))),
% 4.79/4.99 inference(rewrite,[status(thm)],[])).
% 4.79/4.99 tff(6176,plain,
% 4.79/4.99 (((~((~(mult(mult(a, a), mult(mult(mult(b, c), a), b)) = mult(a, mult(mult(mult(mult(b, c), a), b), a)))) | (~(mult(mult(a, mult(mult(mult(b, c), a), b)), a) = mult(a, mult(a, mult(mult(mult(b, c), a), b))))))) | (~((~(mult(mult(a, a), mult(mult(mult(b, c), a), b)) = mult(a, mult(a, mult(mult(mult(b, c), a), b))))) | (~(mult(mult(a, mult(mult(mult(b, c), a), b)), a) = mult(a, mult(mult(mult(mult(b, c), a), b), a))))))) <=> ((~((~(mult(mult(a, a), mult(mult(mult(b, c), a), b)) = mult(a, mult(a, mult(mult(mult(b, c), a), b))))) | (~(mult(mult(a, mult(mult(mult(b, c), a), b)), a) = mult(a, mult(mult(mult(mult(b, c), a), b), a)))))) | (~((~(mult(mult(a, a), mult(mult(mult(b, c), a), b)) = mult(a, mult(mult(mult(mult(b, c), a), b), a)))) | (~(mult(mult(a, mult(mult(mult(b, c), a), b)), a) = mult(a, mult(a, mult(mult(mult(b, c), a), b))))))))),
% 4.79/4.99 inference(rewrite,[status(thm)],[])).
% 4.79/4.99 tff(6177,plain,
% 4.79/4.99 (((~![X0: $i, X1: $i, X2: $i] : ((~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X2, X1)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X1, X2)))))) | (~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X1, X2)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X2, X1)))))))) | ((~((~(mult(mult(a, a), mult(mult(mult(b, c), a), b)) = mult(a, mult(mult(mult(mult(b, c), a), b), a)))) | (~(mult(mult(a, mult(mult(mult(b, c), a), b)), a) = mult(a, mult(a, mult(mult(mult(b, c), a), b))))))) | (~((~(mult(mult(a, a), mult(mult(mult(b, c), a), b)) = mult(a, mult(a, mult(mult(mult(b, c), a), b))))) | (~(mult(mult(a, mult(mult(mult(b, c), a), b)), a) = mult(a, mult(mult(mult(mult(b, c), a), b), a)))))))) <=> ((~![X0: $i, X1: $i, X2: $i] : ((~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X2, X1)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X1, X2)))))) | (~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X1, X2)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X2, X1)))))))) | ((~((~(mult(mult(a, a), mult(mult(mult(b, c), a), b)) = mult(a, mult(a, mult(mult(mult(b, c), a), b))))) | (~(mult(mult(a, mult(mult(mult(b, c), a), b)), a) = mult(a, mult(mult(mult(mult(b, c), a), b), a)))))) | (~((~(mult(mult(a, a), mult(mult(mult(b, c), a), b)) = mult(a, mult(mult(mult(mult(b, c), a), b), a)))) | (~(mult(mult(a, mult(mult(mult(b, c), a), b)), a) = mult(a, mult(a, mult(mult(mult(b, c), a), b)))))))))),
% 4.79/4.99 inference(monotonicity,[status(thm)],[6176])).
% 4.79/4.99 tff(6178,plain,
% 4.79/4.99 (((~![X0: $i, X1: $i, X2: $i] : ((~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X2, X1)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X1, X2)))))) | (~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X1, X2)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X2, X1)))))))) | ((~((~(mult(mult(a, a), mult(mult(mult(b, c), a), b)) = mult(a, mult(mult(mult(mult(b, c), a), b), a)))) | (~(mult(mult(a, mult(mult(mult(b, c), a), b)), a) = mult(a, mult(a, mult(mult(mult(b, c), a), b))))))) | (~((~(mult(mult(a, a), mult(mult(mult(b, c), a), b)) = mult(a, mult(a, mult(mult(mult(b, c), a), b))))) | (~(mult(mult(a, mult(mult(mult(b, c), a), b)), a) = mult(a, mult(mult(mult(mult(b, c), a), b), a)))))))) <=> ((~![X0: $i, X1: $i, X2: $i] : ((~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X2, X1)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X1, X2)))))) | (~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X1, X2)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X2, X1)))))))) | (~((~(mult(mult(a, a), mult(mult(mult(b, c), a), b)) = mult(a, mult(a, mult(mult(mult(b, c), a), b))))) | (~(mult(mult(a, mult(mult(mult(b, c), a), b)), a) = mult(a, mult(mult(mult(mult(b, c), a), b), a)))))) | (~((~(mult(mult(a, a), mult(mult(mult(b, c), a), b)) = mult(a, mult(mult(mult(mult(b, c), a), b), a)))) | (~(mult(mult(a, mult(mult(mult(b, c), a), b)), a) = mult(a, mult(a, mult(mult(mult(b, c), a), b))))))))),
% 4.79/4.99 inference(transitivity,[status(thm)],[6177, 6175])).
% 4.79/4.99 tff(6179,plain,
% 4.79/4.99 ((~![X0: $i, X1: $i, X2: $i] : ((~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X2, X1)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X1, X2)))))) | (~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X1, X2)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X2, X1)))))))) | ((~((~(mult(mult(a, a), mult(mult(mult(b, c), a), b)) = mult(a, mult(mult(mult(mult(b, c), a), b), a)))) | (~(mult(mult(a, mult(mult(mult(b, c), a), b)), a) = mult(a, mult(a, mult(mult(mult(b, c), a), b))))))) | (~((~(mult(mult(a, a), mult(mult(mult(b, c), a), b)) = mult(a, mult(a, mult(mult(mult(b, c), a), b))))) | (~(mult(mult(a, mult(mult(mult(b, c), a), b)), a) = mult(a, mult(mult(mult(mult(b, c), a), b), a)))))))),
% 4.79/5.00 inference(quant_inst,[status(thm)],[])).
% 4.79/5.00 tff(6180,plain,
% 4.79/5.00 ((~![X0: $i, X1: $i, X2: $i] : ((~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X2, X1)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X1, X2)))))) | (~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X1, X2)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X2, X1)))))))) | (~((~(mult(mult(a, a), mult(mult(mult(b, c), a), b)) = mult(a, mult(a, mult(mult(mult(b, c), a), b))))) | (~(mult(mult(a, mult(mult(mult(b, c), a), b)), a) = mult(a, mult(mult(mult(mult(b, c), a), b), a)))))) | (~((~(mult(mult(a, a), mult(mult(mult(b, c), a), b)) = mult(a, mult(mult(mult(mult(b, c), a), b), a)))) | (~(mult(mult(a, mult(mult(mult(b, c), a), b)), a) = mult(a, mult(a, mult(mult(mult(b, c), a), b)))))))),
% 4.79/5.00 inference(modus_ponens,[status(thm)],[6179, 6178])).
% 4.79/5.00 tff(6181,plain,
% 4.79/5.00 ((~((~(mult(mult(a, a), mult(mult(mult(b, c), a), b)) = mult(a, mult(a, mult(mult(mult(b, c), a), b))))) | (~(mult(mult(a, mult(mult(mult(b, c), a), b)), a) = mult(a, mult(mult(mult(mult(b, c), a), b), a)))))) | (~((~(mult(mult(a, a), mult(mult(mult(b, c), a), b)) = mult(a, mult(mult(mult(mult(b, c), a), b), a)))) | (~(mult(mult(a, mult(mult(mult(b, c), a), b)), a) = mult(a, mult(a, mult(mult(mult(b, c), a), b)))))))),
% 4.79/5.00 inference(unit_resolution,[status(thm)],[6180, 30])).
% 4.79/5.00 tff(6182,plain,
% 4.79/5.00 (~((~(mult(mult(a, a), mult(mult(mult(b, c), a), b)) = mult(a, mult(a, mult(mult(mult(b, c), a), b))))) | (~(mult(mult(a, mult(mult(mult(b, c), a), b)), a) = mult(a, mult(mult(mult(mult(b, c), a), b), a)))))),
% 4.79/5.00 inference(unit_resolution,[status(thm)],[6181, 6174])).
% 4.79/5.00 tff(6183,plain,
% 4.79/5.00 (((~(mult(mult(a, a), mult(mult(mult(b, c), a), b)) = mult(a, mult(a, mult(mult(mult(b, c), a), b))))) | (~(mult(mult(a, mult(mult(mult(b, c), a), b)), a) = mult(a, mult(mult(mult(mult(b, c), a), b), a))))) | (mult(mult(a, a), mult(mult(mult(b, c), a), b)) = mult(a, mult(a, mult(mult(mult(b, c), a), b))))),
% 4.79/5.00 inference(tautology,[status(thm)],[])).
% 4.79/5.00 tff(6184,plain,
% 4.79/5.00 (mult(mult(a, a), mult(mult(mult(b, c), a), b)) = mult(a, mult(a, mult(mult(mult(b, c), a), b)))),
% 4.79/5.00 inference(unit_resolution,[status(thm)],[6183, 6182])).
% 4.79/5.00 tff(6185,plain,
% 4.79/5.00 (mult(mult(a, a), mult(mult(b, mult(a, c)), b)) = mult(mult(a, a), mult(mult(mult(b, c), a), b))),
% 4.79/5.00 inference(monotonicity,[status(thm)],[6139])).
% 4.79/5.00 tff(6186,plain,
% 4.79/5.00 ((~![C: $i, B: $i, A: $i] : (mult(mult(mult(A, B), C), B) = mult(A, mult(mult(B, C), B)))) | (mult(mult(mult(mult(a, a), b), mult(a, c)), b) = mult(mult(a, a), mult(mult(b, mult(a, c)), b)))),
% 4.79/5.00 inference(quant_inst,[status(thm)],[])).
% 4.79/5.00 tff(6187,plain,
% 4.79/5.00 (mult(mult(mult(mult(a, a), b), mult(a, c)), b) = mult(mult(a, a), mult(mult(b, mult(a, c)), b))),
% 4.79/5.00 inference(unit_resolution,[status(thm)],[6186, 860])).
% 4.79/5.00 tff(6188,plain,
% 4.79/5.00 (mult(mult(mult(mult(a, a), b), mult(a, c)), b) = mult(mult(mult(a, a), mult(mult(b, c), a)), b)),
% 4.79/5.00 inference(transitivity,[status(thm)],[6187, 6185, 6184, 6167, 6164, 6132, 6128, 6125, 5978, 6123, 6104, 6102])).
% 4.79/5.00 tff(6189,plain,
% 4.79/5.00 (rd(mult(mult(mult(mult(a, a), b), mult(a, c)), b), b) = rd(mult(mult(mult(a, a), mult(mult(b, c), a)), b), b)),
% 4.79/5.00 inference(monotonicity,[status(thm)],[6188])).
% 4.79/5.00 tff(6190,plain,
% 4.79/5.00 ((~![B: $i, A: $i] : (rd(mult(A, B), B) = A)) | (rd(mult(mult(mult(mult(a, a), b), mult(a, c)), b), b) = mult(mult(mult(a, a), b), mult(a, c)))),
% 4.79/5.00 inference(quant_inst,[status(thm)],[])).
% 4.79/5.00 tff(6191,plain,
% 4.79/5.00 (rd(mult(mult(mult(mult(a, a), b), mult(a, c)), b), b) = mult(mult(mult(a, a), b), mult(a, c))),
% 4.79/5.00 inference(unit_resolution,[status(thm)],[6190, 72])).
% 4.79/5.00 tff(6192,plain,
% 4.79/5.00 (mult(mult(mult(a, a), b), mult(a, c)) = rd(mult(mult(mult(mult(a, a), b), mult(a, c)), b), b)),
% 4.79/5.00 inference(symmetry,[status(thm)],[6191])).
% 4.79/5.00 tff(6193,plain,
% 4.79/5.00 (mult(a, mult(a, b)) = mult(mult(a, a), b)),
% 4.79/5.00 inference(symmetry,[status(thm)],[4190])).
% 4.79/5.00 tff(6194,plain,
% 4.79/5.00 (mult(mult(a, mult(a, b)), mult(a, c)) = mult(mult(mult(a, a), b), mult(a, c))),
% 4.79/5.00 inference(monotonicity,[status(thm)],[6193])).
% 4.79/5.00 tff(6195,plain,
% 4.79/5.00 (mult(mult(a, mult(a, b)), mult(a, c)) = mult(mult(a, a), mult(a, mult(c, b)))),
% 4.79/5.00 inference(transitivity,[status(thm)],[6194, 6192, 6189, 6065, 6063])).
% 4.79/5.00 tff(6196,plain,
% 4.79/5.00 ((mult(mult(a, mult(a, b)), mult(a, c)) = mult(a, mult(mult(a, b), mult(a, c)))) <=> (mult(mult(a, a), mult(a, mult(c, b))) = mult(a, mult(mult(a, mult(c, b)), a)))),
% 4.79/5.00 inference(monotonicity,[status(thm)],[6195, 6060])).
% 4.79/5.00 tff(6197,plain,
% 4.79/5.00 ((mult(mult(a, a), mult(a, mult(c, b))) = mult(a, mult(mult(a, mult(c, b)), a))) <=> (mult(mult(a, mult(a, b)), mult(a, c)) = mult(a, mult(mult(a, b), mult(a, c))))),
% 4.79/5.00 inference(symmetry,[status(thm)],[6196])).
% 4.79/5.00 tff(6198,plain,
% 4.79/5.00 ((~(mult(mult(a, a), mult(a, mult(c, b))) = mult(a, mult(mult(a, mult(c, b)), a)))) <=> (~(mult(mult(a, mult(a, b)), mult(a, c)) = mult(a, mult(mult(a, b), mult(a, c)))))),
% 4.79/5.00 inference(monotonicity,[status(thm)],[6197])).
% 4.79/5.00 tff(6199,plain,
% 4.79/5.00 (mult(a, mult(a, mult(a, mult(c, b)))) = mult(mult(a, a), mult(a, mult(c, b)))),
% 4.79/5.00 inference(symmetry,[status(thm)],[6099])).
% 4.79/5.00 tff(6200,plain,
% 4.79/5.00 (mult(a, mult(mult(b, c), a)) = mult(mult(a, c), mult(a, b))),
% 4.79/5.00 inference(transitivity,[status(thm)],[6068, 607, 594])).
% 4.79/5.00 tff(6201,plain,
% 4.79/5.00 (mult(a, mult(a, mult(mult(b, c), a))) = mult(a, mult(mult(a, c), mult(a, b)))),
% 4.79/5.00 inference(monotonicity,[status(thm)],[6200])).
% 4.79/5.00 tff(6202,plain,
% 4.79/5.00 (mult(a, mult(a, mult(mult(b, c), a))) = mult(mult(a, a), mult(a, mult(c, b)))),
% 4.79/5.00 inference(transitivity,[status(thm)],[6201, 6092, 6199])).
% 4.79/5.00 tff(6203,plain,
% 4.79/5.00 (mult(mult(a, mult(a, mult(c, b))), a) = mult(mult(mult(a, a), mult(c, b)), a)),
% 4.79/5.00 inference(monotonicity,[status(thm)],[5899])).
% 4.79/5.00 tff(6204,plain,
% 4.79/5.00 (mult(mult(mult(a, c), mult(a, b)), a) = mult(mult(a, mult(a, mult(c, b))), a)),
% 4.79/5.00 inference(monotonicity,[status(thm)],[6091])).
% 4.79/5.00 tff(6205,plain,
% 4.79/5.00 (mult(mult(a, mult(mult(b, c), a)), a) = mult(mult(mult(a, c), mult(a, b)), a)),
% 4.79/5.00 inference(monotonicity,[status(thm)],[6200])).
% 4.79/5.00 tff(6206,plain,
% 4.79/5.00 (mult(mult(a, mult(mult(b, c), a)), a) = mult(a, mult(mult(a, mult(c, b)), a))),
% 4.79/5.00 inference(transitivity,[status(thm)],[6205, 6204, 6203, 4757])).
% 4.79/5.00 tff(6207,plain,
% 4.79/5.00 ((mult(mult(a, mult(mult(b, c), a)), a) = mult(a, mult(a, mult(mult(b, c), a)))) <=> (mult(a, mult(mult(a, mult(c, b)), a)) = mult(mult(a, a), mult(a, mult(c, b))))),
% 4.79/5.00 inference(monotonicity,[status(thm)],[6206, 6202])).
% 4.79/5.00 tff(6208,plain,
% 4.79/5.00 ((mult(mult(a, mult(mult(b, c), a)), a) = mult(a, mult(a, mult(mult(b, c), a)))) <=> (mult(mult(a, a), mult(a, mult(c, b))) = mult(a, mult(mult(a, mult(c, b)), a)))),
% 4.79/5.00 inference(transitivity,[status(thm)],[6207, 5438])).
% 4.79/5.00 tff(6209,plain,
% 4.79/5.00 (mult(a, mult(mult(a, c), mult(a, b))) = mult(a, mult(a, mult(mult(b, c), a)))),
% 4.79/5.00 inference(symmetry,[status(thm)],[6201])).
% 4.79/5.00 tff(6210,plain,
% 4.79/5.00 (mult(a, mult(a, mult(a, mult(c, b)))) = mult(a, mult(a, mult(mult(b, c), a)))),
% 4.79/5.00 inference(transitivity,[status(thm)],[6093, 6209])).
% 4.79/5.00 tff(6211,plain,
% 4.79/5.00 (mult(mult(mult(a, c), mult(a, b)), a) = mult(mult(a, mult(mult(b, c), a)), a)),
% 4.79/5.00 inference(symmetry,[status(thm)],[6205])).
% 4.79/5.00 tff(6212,plain,
% 4.79/5.00 (mult(mult(a, mult(a, mult(c, b))), a) = mult(mult(mult(a, c), mult(a, b)), a)),
% 4.79/5.00 inference(symmetry,[status(thm)],[6204])).
% 4.79/5.00 tff(6213,plain,
% 4.79/5.00 (mult(mult(a, mult(a, mult(c, b))), a) = mult(mult(a, mult(mult(b, c), a)), a)),
% 4.79/5.00 inference(transitivity,[status(thm)],[6212, 6211])).
% 4.79/5.00 tff(6214,plain,
% 4.79/5.00 ((mult(mult(a, mult(a, mult(c, b))), a) = mult(a, mult(a, mult(a, mult(c, b))))) <=> (mult(mult(a, mult(mult(b, c), a)), a) = mult(a, mult(a, mult(mult(b, c), a))))),
% 4.79/5.00 inference(monotonicity,[status(thm)],[6213, 6210])).
% 4.79/5.00 tff(6215,plain,
% 4.79/5.00 ((mult(mult(a, mult(a, mult(c, b))), a) = mult(a, mult(a, mult(a, mult(c, b))))) <=> (mult(mult(a, a), mult(a, mult(c, b))) = mult(a, mult(mult(a, mult(c, b)), a)))),
% 4.79/5.00 inference(transitivity,[status(thm)],[6214, 6208])).
% 4.79/5.00 tff(6216,plain,
% 4.79/5.00 ((~(mult(mult(a, mult(a, mult(c, b))), a) = mult(a, mult(a, mult(a, mult(c, b)))))) <=> (~(mult(mult(a, a), mult(a, mult(c, b))) = mult(a, mult(mult(a, mult(c, b)), a))))),
% 4.79/5.00 inference(monotonicity,[status(thm)],[6215])).
% 4.79/5.00 tff(6217,plain,
% 4.79/5.00 (~(mult(mult(a, a), mult(a, mult(c, b))) = mult(a, mult(mult(a, mult(c, b)), a)))),
% 4.79/5.00 inference(modus_ponens,[status(thm)],[6096, 6216])).
% 4.79/5.00 tff(6218,plain,
% 4.79/5.00 (~(mult(mult(a, mult(a, b)), mult(a, c)) = mult(a, mult(mult(a, b), mult(a, c))))),
% 4.79/5.00 inference(modus_ponens,[status(thm)],[6217, 6198])).
% 4.79/5.00 tff(6219,plain,
% 4.79/5.00 ((~(mult(mult(a, mult(a, b)), mult(a, c)) = mult(a, mult(mult(a, b), mult(a, c))))) | (~(mult(mult(a, mult(a, c)), mult(a, b)) = mult(a, mult(mult(a, c), mult(a, b)))))),
% 4.79/5.00 inference(unit_resolution,[status(thm)],[5621, 6218])).
% 4.79/5.00 tff(6220,plain,
% 4.79/5.00 (~((~(mult(mult(a, mult(a, b)), mult(a, c)) = mult(a, mult(mult(a, c), mult(a, b))))) | (~(mult(mult(a, mult(a, c)), mult(a, b)) = mult(a, mult(mult(a, b), mult(a, c))))))),
% 4.79/5.00 inference(unit_resolution,[status(thm)],[5626, 6219])).
% 4.79/5.00 tff(6221,plain,
% 4.79/5.00 (((~(mult(mult(a, mult(a, b)), mult(a, c)) = mult(a, mult(mult(a, c), mult(a, b))))) | (~(mult(mult(a, mult(a, c)), mult(a, b)) = mult(a, mult(mult(a, b), mult(a, c)))))) | (mult(mult(a, mult(a, c)), mult(a, b)) = mult(a, mult(mult(a, b), mult(a, c))))),
% 4.79/5.00 inference(tautology,[status(thm)],[])).
% 4.79/5.00 tff(6222,plain,
% 4.79/5.00 (mult(mult(a, mult(a, c)), mult(a, b)) = mult(a, mult(mult(a, b), mult(a, c)))),
% 4.79/5.00 inference(unit_resolution,[status(thm)],[6221, 6220])).
% 4.79/5.00 tff(6223,plain,
% 4.79/5.00 (mult(mult(a, mult(a, c)), b) = mult(a, mult(b, mult(a, c)))),
% 4.79/5.00 inference(unit_resolution,[status(thm)],[836, 6083])).
% 4.79/5.00 tff(6224,plain,
% 4.79/5.00 (mult(a, mult(b, mult(a, c))) = mult(mult(a, mult(a, c)), b)),
% 4.79/5.00 inference(symmetry,[status(thm)],[6223])).
% 4.79/5.00 tff(6225,plain,
% 4.79/5.00 (mult(mult(mult(a, a), c), b) = mult(mult(a, mult(a, c)), b)),
% 4.79/5.00 inference(transitivity,[status(thm)],[789, 1581, 611, 948, 1106, 2720, 6038, 5377, 6224])).
% 4.79/5.00 tff(6226,plain,
% 4.79/5.00 (rd(mult(mult(mult(a, a), c), b), b) = rd(mult(mult(a, mult(a, c)), b), b)),
% 4.79/5.00 inference(monotonicity,[status(thm)],[6225])).
% 4.79/5.00 tff(6227,plain,
% 4.79/5.00 (rd(mult(mult(a, mult(a, c)), b), b) = rd(mult(mult(mult(a, a), c), b), b)),
% 4.79/5.00 inference(symmetry,[status(thm)],[6226])).
% 4.79/5.00 tff(6228,plain,
% 4.79/5.00 (mult(a, mult(a, c)) = rd(mult(mult(a, mult(a, c)), b), b)),
% 4.79/5.00 inference(symmetry,[status(thm)],[908])).
% 4.79/5.00 tff(6229,plain,
% 4.79/5.00 (mult(a, mult(a, c)) = mult(mult(a, a), c)),
% 4.79/5.00 inference(transitivity,[status(thm)],[6228, 6227, 2650])).
% 4.79/5.00 tff(6230,plain,
% 4.79/5.00 (mult(mult(a, mult(a, c)), mult(a, b)) = mult(mult(mult(a, a), c), mult(a, b))),
% 4.79/5.00 inference(monotonicity,[status(thm)],[6229])).
% 4.79/5.00 tff(6231,plain,
% 4.79/5.00 (mult(mult(mult(a, a), c), mult(a, b)) = mult(mult(a, mult(a, c)), mult(a, b))),
% 4.79/5.00 inference(symmetry,[status(thm)],[6230])).
% 4.79/5.00 tff(6232,plain,
% 4.79/5.00 (mult(mult(a, mult(a, c)), b) = mult(mult(a, c), mult(a, b))),
% 4.79/5.00 inference(transitivity,[status(thm)],[6223, 5357, 6068, 607, 594])).
% 4.79/5.00 tff(6233,plain,
% 4.79/5.00 (mult(a, mult(mult(a, mult(a, c)), b)) = mult(a, mult(mult(a, c), mult(a, b)))),
% 4.79/5.00 inference(monotonicity,[status(thm)],[6232])).
% 4.79/5.00 tff(6234,plain,
% 4.79/5.00 (mult(a, mult(mult(a, c), mult(a, b))) = mult(a, mult(mult(a, mult(a, c)), b))),
% 4.79/5.00 inference(symmetry,[status(thm)],[6233])).
% 4.79/5.00 tff(6235,plain,
% 4.79/5.00 (mult(mult(mult(a, b), mult(a, c)), a) = mult(a, mult(mult(a, mult(a, c)), b))),
% 4.79/5.00 inference(transitivity,[status(thm)],[5504, 6086, 5500, 6089, 6234])).
% 4.79/5.00 tff(6236,plain,
% 4.79/5.00 ((mult(mult(mult(a, b), mult(a, c)), a) = mult(mult(a, b), mult(a, mult(a, c)))) <=> (mult(a, mult(mult(a, mult(a, c)), b)) = mult(mult(a, b), mult(a, mult(a, c))))),
% 4.79/5.00 inference(monotonicity,[status(thm)],[6235])).
% 4.79/5.00 tff(6237,plain,
% 4.79/5.00 ((mult(mult(mult(a, b), mult(a, c)), a) = mult(mult(a, b), mult(a, mult(a, c)))) <=> (mult(mult(a, b), mult(a, mult(a, c))) = mult(a, mult(mult(a, mult(a, c)), b)))),
% 4.79/5.00 inference(transitivity,[status(thm)],[6236, 5493])).
% 4.79/5.00 tff(6238,plain,
% 4.79/5.00 ((mult(mult(a, b), mult(a, mult(a, c))) = mult(a, mult(mult(a, mult(a, c)), b))) <=> (mult(mult(mult(a, b), mult(a, c)), a) = mult(mult(a, b), mult(a, mult(a, c))))),
% 4.79/5.00 inference(symmetry,[status(thm)],[6237])).
% 4.79/5.00 tff(6239,plain,
% 4.79/5.00 (mult(b, mult(a, mult(a, c))) = mult(mult(mult(a, b), c), a)),
% 4.79/5.00 inference(transitivity,[status(thm)],[5329, 5318, 6043, 609])).
% 4.79/5.00 tff(6240,plain,
% 4.79/5.00 (mult(mult(b, mult(a, mult(a, c))), b) = mult(mult(mult(mult(a, b), c), a), b)),
% 4.79/5.00 inference(monotonicity,[status(thm)],[6239])).
% 4.79/5.00 tff(6241,plain,
% 4.79/5.00 (mult(mult(b, mult(a, mult(a, c))), b) = mult(mult(a, mult(c, mult(a, b))), b)),
% 4.79/5.00 inference(transitivity,[status(thm)],[6240, 6165])).
% 4.79/5.00 tff(6242,plain,
% 4.79/5.00 (mult(a, mult(mult(b, mult(a, mult(a, c))), b)) = mult(a, mult(mult(a, mult(c, mult(a, b))), b))),
% 4.79/5.00 inference(monotonicity,[status(thm)],[6241])).
% 4.79/5.00 tff(6243,plain,
% 4.79/5.00 (mult(mult(mult(a, b), mult(a, mult(a, c))), b) = mult(mult(mult(a, a), mult(mult(b, c), a)), b)),
% 4.79/5.00 inference(transitivity,[status(thm)],[5335, 6242, 6164, 6132, 6128, 6125, 5978, 6123, 6104, 6102])).
% 4.79/5.00 tff(6244,plain,
% 4.79/5.00 (rd(mult(mult(mult(a, b), mult(a, mult(a, c))), b), b) = rd(mult(mult(mult(a, a), mult(mult(b, c), a)), b), b)),
% 4.79/5.00 inference(monotonicity,[status(thm)],[6243])).
% 4.79/5.00 tff(6245,plain,
% 4.79/5.00 ((~![B: $i, A: $i] : (rd(mult(A, B), B) = A)) | (rd(mult(mult(mult(a, b), mult(a, mult(a, c))), b), b) = mult(mult(a, b), mult(a, mult(a, c))))),
% 4.79/5.00 inference(quant_inst,[status(thm)],[])).
% 4.79/5.00 tff(6246,plain,
% 4.79/5.00 (rd(mult(mult(mult(a, b), mult(a, mult(a, c))), b), b) = mult(mult(a, b), mult(a, mult(a, c)))),
% 4.79/5.00 inference(unit_resolution,[status(thm)],[6245, 72])).
% 4.79/5.00 tff(6247,plain,
% 4.79/5.00 (mult(mult(a, b), mult(a, mult(a, c))) = rd(mult(mult(mult(a, b), mult(a, mult(a, c))), b), b)),
% 4.79/5.00 inference(symmetry,[status(thm)],[6246])).
% 4.79/5.00 tff(6248,plain,
% 4.79/5.00 (mult(mult(a, b), mult(a, mult(a, c))) = mult(a, mult(mult(a, mult(a, c)), b))),
% 4.79/5.00 inference(transitivity,[status(thm)],[6247, 6244, 6065, 6063, 6099, 6093, 6234])).
% 4.79/5.00 tff(6249,plain,
% 4.79/5.00 (mult(mult(mult(a, b), mult(a, c)), a) = mult(mult(a, b), mult(a, mult(a, c)))),
% 4.79/5.00 inference(modus_ponens,[status(thm)],[6248, 6238])).
% 4.79/5.00 tff(6250,plain,
% 4.79/5.00 (mult(mult(a, a), mult(b, mult(a, c))) = mult(a, mult(mult(a, mult(a, c)), b))),
% 4.79/5.00 inference(transitivity,[status(thm)],[5572, 6063, 6099, 6093, 6234])).
% 4.79/5.00 tff(6251,plain,
% 4.79/5.00 (mult(mult(a, a), mult(a, c)) = mult(a, mult(a, mult(a, c)))),
% 4.79/5.00 inference(unit_resolution,[status(thm)],[5402, 6223, 6038, 789, 1581, 593, 594, 91, 97])).
% 4.79/5.00 tff(6252,plain,
% 4.79/5.00 (mult(mult(mult(a, a), mult(a, c)), b) = mult(mult(a, mult(a, mult(a, c))), b)),
% 4.79/5.00 inference(monotonicity,[status(thm)],[6251])).
% 4.79/5.00 tff(6253,plain,
% 4.79/5.00 ((mult(mult(mult(a, a), mult(a, c)), b) = mult(mult(a, a), mult(b, mult(a, c)))) <=> (mult(mult(a, mult(a, mult(a, c))), b) = mult(a, mult(mult(a, mult(a, c)), b)))),
% 4.79/5.00 inference(monotonicity,[status(thm)],[6252, 6250])).
% 4.79/5.00 tff(6254,plain,
% 4.79/5.00 ((mult(mult(a, mult(a, mult(a, c))), b) = mult(a, mult(mult(a, mult(a, c)), b))) <=> (mult(mult(mult(a, a), mult(a, c)), b) = mult(mult(a, a), mult(b, mult(a, c))))),
% 4.79/5.00 inference(symmetry,[status(thm)],[6253])).
% 4.79/5.00 tff(6255,plain,
% 4.79/5.00 (mult(a, mult(mult(a, mult(a, c)), b)) = mult(mult(a, a), mult(a, mult(c, b)))),
% 4.79/5.00 inference(transitivity,[status(thm)],[6233, 6092, 6199])).
% 4.79/5.00 tff(6256,plain,
% 4.79/5.00 (mult(b, mult(a, mult(a, c))) = mult(mult(a, mult(c, b)), a)),
% 4.79/5.00 inference(transitivity,[status(thm)],[5329, 5318, 6043])).
% 4.79/5.00 tff(6257,plain,
% 4.79/5.00 (mult(a, mult(b, mult(a, mult(a, c)))) = mult(a, mult(mult(a, mult(c, b)), a))),
% 4.79/5.00 inference(monotonicity,[status(thm)],[6256])).
% 4.79/5.00 tff(6258,plain,
% 4.79/5.00 (mult(mult(a, b), mult(a, mult(a, c))) = mult(mult(a, a), mult(a, mult(c, b)))),
% 4.79/5.00 inference(transitivity,[status(thm)],[6247, 6244, 6065, 6063])).
% 4.79/5.00 tff(6259,plain,
% 4.79/5.00 ((mult(mult(a, b), mult(a, mult(a, c))) = mult(a, mult(b, mult(a, mult(a, c))))) <=> (mult(mult(a, a), mult(a, mult(c, b))) = mult(a, mult(mult(a, mult(c, b)), a)))),
% 4.79/5.00 inference(monotonicity,[status(thm)],[6258, 6257])).
% 4.79/5.00 tff(6260,plain,
% 4.79/5.00 ((mult(mult(a, a), mult(a, mult(c, b))) = mult(a, mult(mult(a, mult(c, b)), a))) <=> (mult(mult(a, b), mult(a, mult(a, c))) = mult(a, mult(b, mult(a, mult(a, c)))))),
% 4.79/5.01 inference(symmetry,[status(thm)],[6259])).
% 4.79/5.01 tff(6261,plain,
% 4.79/5.01 ((~(mult(mult(a, a), mult(a, mult(c, b))) = mult(a, mult(mult(a, mult(c, b)), a)))) <=> (~(mult(mult(a, b), mult(a, mult(a, c))) = mult(a, mult(b, mult(a, mult(a, c))))))),
% 4.79/5.01 inference(monotonicity,[status(thm)],[6260])).
% 4.79/5.01 tff(6262,plain,
% 4.79/5.01 (~(mult(mult(a, b), mult(a, mult(a, c))) = mult(a, mult(b, mult(a, mult(a, c)))))),
% 4.79/5.01 inference(modus_ponens,[status(thm)],[6217, 6261])).
% 4.79/5.01 tff(6263,plain,
% 4.79/5.01 ((~(mult(mult(a, b), mult(a, mult(a, c))) = mult(a, mult(b, mult(a, mult(a, c)))))) | (~(mult(mult(a, mult(a, mult(a, c))), b) = mult(a, mult(mult(a, mult(a, c)), b))))),
% 4.79/5.01 inference(unit_resolution,[status(thm)],[5607, 6262])).
% 4.79/5.01 tff(6264,plain,
% 4.79/5.01 (~((~(mult(mult(a, b), mult(a, mult(a, c))) = mult(a, mult(mult(a, mult(a, c)), b)))) | (~(mult(mult(a, mult(a, mult(a, c))), b) = mult(a, mult(b, mult(a, mult(a, c)))))))),
% 4.79/5.01 inference(unit_resolution,[status(thm)],[5605, 6263])).
% 4.79/5.01 tff(6265,plain,
% 4.79/5.01 (mult(mult(a, mult(a, mult(a, c))), b) = mult(a, mult(b, mult(a, mult(a, c))))),
% 4.79/5.01 inference(unit_resolution,[status(thm)],[5600, 6264])).
% 4.79/5.01 tff(6266,plain,
% 4.79/5.01 (mult(mult(a, mult(a, mult(a, c))), b) = mult(a, mult(mult(a, mult(c, b)), a))),
% 4.79/5.01 inference(transitivity,[status(thm)],[6265, 6257])).
% 4.79/5.01 tff(6267,plain,
% 4.79/5.01 ((mult(mult(a, mult(a, mult(a, c))), b) = mult(a, mult(mult(a, mult(a, c)), b))) <=> (mult(a, mult(mult(a, mult(c, b)), a)) = mult(mult(a, a), mult(a, mult(c, b))))),
% 4.79/5.01 inference(monotonicity,[status(thm)],[6266, 6255])).
% 4.79/5.01 tff(6268,plain,
% 4.79/5.01 ((mult(mult(a, mult(a, mult(a, c))), b) = mult(a, mult(mult(a, mult(a, c)), b))) <=> (mult(mult(a, a), mult(a, mult(c, b))) = mult(a, mult(mult(a, mult(c, b)), a)))),
% 4.79/5.01 inference(transitivity,[status(thm)],[6267, 5438])).
% 4.79/5.01 tff(6269,plain,
% 4.79/5.01 ((mult(mult(a, a), mult(a, mult(c, b))) = mult(a, mult(mult(a, mult(c, b)), a))) <=> (mult(mult(a, mult(a, mult(a, c))), b) = mult(a, mult(mult(a, mult(a, c)), b)))),
% 4.79/5.01 inference(symmetry,[status(thm)],[6268])).
% 4.79/5.01 tff(6270,plain,
% 4.79/5.01 ((mult(mult(a, a), mult(a, mult(c, b))) = mult(a, mult(mult(a, mult(c, b)), a))) <=> (mult(mult(mult(a, a), mult(a, c)), b) = mult(mult(a, a), mult(b, mult(a, c))))),
% 4.79/5.01 inference(transitivity,[status(thm)],[6269, 6254])).
% 4.79/5.01 tff(6271,plain,
% 4.79/5.01 ((~(mult(mult(a, a), mult(a, mult(c, b))) = mult(a, mult(mult(a, mult(c, b)), a)))) <=> (~(mult(mult(mult(a, a), mult(a, c)), b) = mult(mult(a, a), mult(b, mult(a, c)))))),
% 4.79/5.01 inference(monotonicity,[status(thm)],[6270])).
% 4.79/5.01 tff(6272,plain,
% 4.79/5.01 (~(mult(mult(mult(a, a), mult(a, c)), b) = mult(mult(a, a), mult(b, mult(a, c))))),
% 4.79/5.01 inference(modus_ponens,[status(thm)],[6217, 6271])).
% 4.79/5.01 tff(6273,plain,
% 4.79/5.01 ((~(mult(mult(mult(a, a), b), mult(a, c)) = mult(mult(a, a), mult(mult(a, c), b)))) | (~(mult(mult(mult(a, a), mult(a, c)), b) = mult(mult(a, a), mult(b, mult(a, c)))))),
% 4.79/5.01 inference(unit_resolution,[status(thm)],[5591, 6272])).
% 4.79/5.01 tff(6274,plain,
% 4.79/5.01 (~((~(mult(mult(mult(a, a), b), mult(a, c)) = mult(mult(a, a), mult(b, mult(a, c))))) | (~(mult(mult(mult(a, a), mult(a, c)), b) = mult(mult(a, a), mult(mult(a, c), b)))))),
% 4.79/5.01 inference(unit_resolution,[status(thm)],[5589, 6273])).
% 4.79/5.01 tff(6275,plain,
% 4.79/5.01 (mult(mult(mult(a, a), b), mult(a, c)) = mult(mult(a, a), mult(b, mult(a, c)))),
% 4.79/5.01 inference(unit_resolution,[status(thm)],[5584, 6274])).
% 4.79/5.01 tff(6276,assumption,(mult(mult(mult(a, a), b), mult(a, c)) = mult(mult(a, a), mult(b, mult(a, c)))), introduced(assumption)).
% 4.79/5.01 tff(6277,plain,
% 4.79/5.01 (mult(mult(mult(a, a), b), mult(a, c)) = mult(mult(mult(mult(a, b), c), a), a)),
% 4.79/5.01 inference(transitivity,[status(thm)],[6276, 5572, 6063, 6099, 6093, 6090, 5637, 6087])).
% 4.79/5.01 tff(6278,plain,
% 4.79/5.01 (mult(mult(mult(mult(a, a), b), mult(a, c)), b) = mult(mult(mult(mult(mult(a, b), c), a), a), b)),
% 4.79/5.01 inference(monotonicity,[status(thm)],[6277])).
% 4.79/5.01 tff(6279,plain,
% 4.79/5.01 (mult(mult(a, a), mult(mult(b, mult(a, c)), b)) = mult(mult(mult(mult(a, a), b), mult(a, c)), b)),
% 4.79/5.01 inference(symmetry,[status(thm)],[6187])).
% 4.79/5.01 tff(6280,plain,
% 4.79/5.01 (mult(mult(a, a), mult(mult(mult(b, c), a), b)) = mult(mult(a, a), mult(mult(b, mult(a, c)), b))),
% 4.79/5.01 inference(monotonicity,[status(thm)],[6140])).
% 4.79/5.01 tff(6281,plain,
% 4.79/5.01 (mult(mult(mult(a, b), c), b) = mult(mult(mult(b, c), a), b)),
% 4.79/5.01 inference(monotonicity,[status(thm)],[6129])).
% 4.79/5.01 tff(6282,plain,
% 4.79/5.01 ((~![C: $i, B: $i, A: $i] : (mult(mult(mult(A, B), C), B) = mult(A, mult(mult(B, C), B)))) | (mult(mult(mult(a, b), c), b) = mult(a, mult(mult(b, c), b)))),
% 4.79/5.01 inference(quant_inst,[status(thm)],[])).
% 4.79/5.01 tff(6283,plain,
% 4.79/5.01 (mult(mult(mult(a, b), c), b) = mult(a, mult(mult(b, c), b))),
% 4.79/5.01 inference(unit_resolution,[status(thm)],[6282, 860])).
% 4.79/5.01 tff(6284,plain,
% 4.79/5.01 (mult(a, mult(mult(b, c), b)) = mult(mult(mult(a, b), c), b)),
% 4.79/5.01 inference(symmetry,[status(thm)],[6283])).
% 4.79/5.01 tff(6285,plain,
% 4.79/5.01 (mult(a, mult(mult(b, c), b)) = mult(mult(mult(b, c), a), b)),
% 4.79/5.01 inference(transitivity,[status(thm)],[6284, 6281])).
% 4.79/5.01 tff(6286,plain,
% 4.79/5.01 (mult(mult(a, a), mult(a, mult(mult(b, c), b))) = mult(mult(a, a), mult(mult(mult(b, c), a), b))),
% 4.79/5.01 inference(monotonicity,[status(thm)],[6285])).
% 4.79/5.01 tff(6287,plain,
% 4.79/5.01 (mult(mult(a, a), mult(a, mult(mult(b, c), b))) = mult(mult(mult(mult(a, b), c), a), mult(a, b))),
% 4.79/5.01 inference(transitivity,[status(thm)],[6286, 6280, 6279, 6278, 6103, 6122, 5977])).
% 4.79/5.01 tff(6288,plain,
% 4.79/5.01 (mult(mult(mult(a, a), b), c) = mult(mult(mult(a, b), c), a)),
% 4.79/5.01 inference(transitivity,[status(thm)],[5347, 269, 1414, 708, 609])).
% 4.79/5.01 tff(6289,plain,
% 4.79/5.01 (mult(mult(mult(mult(a, a), b), c), b) = mult(mult(mult(mult(a, b), c), a), b)),
% 4.79/5.01 inference(monotonicity,[status(thm)],[6288])).
% 4.79/5.01 tff(6290,plain,
% 4.79/5.01 ((~![C: $i, B: $i, A: $i] : (mult(mult(mult(A, B), C), B) = mult(A, mult(mult(B, C), B)))) | (mult(mult(mult(mult(a, a), b), c), b) = mult(mult(a, a), mult(mult(b, c), b)))),
% 4.79/5.01 inference(quant_inst,[status(thm)],[])).
% 4.79/5.01 tff(6291,plain,
% 4.79/5.01 (mult(mult(mult(mult(a, a), b), c), b) = mult(mult(a, a), mult(mult(b, c), b))),
% 4.79/5.01 inference(unit_resolution,[status(thm)],[6290, 860])).
% 4.79/5.01 tff(6292,plain,
% 4.79/5.01 (mult(mult(a, a), mult(mult(b, c), b)) = mult(mult(mult(mult(a, a), b), c), b)),
% 4.79/5.01 inference(symmetry,[status(thm)],[6291])).
% 4.79/5.01 tff(6293,plain,
% 4.79/5.01 (mult(mult(a, a), mult(mult(b, c), b)) = mult(mult(mult(mult(a, b), c), a), b)),
% 4.79/5.01 inference(transitivity,[status(thm)],[6292, 6289])).
% 4.79/5.01 tff(6294,plain,
% 4.79/5.01 (mult(mult(mult(a, a), mult(mult(b, c), b)), a) = mult(mult(mult(mult(mult(a, b), c), a), b), a)),
% 4.79/5.01 inference(monotonicity,[status(thm)],[6293])).
% 4.79/5.01 tff(6295,plain,
% 4.79/5.01 ((mult(mult(mult(a, a), mult(mult(b, c), b)), a) = mult(mult(a, a), mult(a, mult(mult(b, c), b)))) <=> (mult(mult(mult(mult(mult(a, b), c), a), b), a) = mult(mult(mult(mult(a, b), c), a), mult(a, b)))),
% 4.79/5.01 inference(monotonicity,[status(thm)],[6294, 6287])).
% 4.79/5.01 tff(6296,plain,
% 4.79/5.01 ((mult(mult(mult(mult(mult(a, b), c), a), b), a) = mult(mult(mult(mult(a, b), c), a), mult(a, b))) <=> (mult(mult(mult(a, a), mult(mult(b, c), b)), a) = mult(mult(a, a), mult(a, mult(mult(b, c), b))))),
% 4.79/5.01 inference(symmetry,[status(thm)],[6295])).
% 4.79/5.01 tff(6297,plain,
% 4.79/5.01 ((~(mult(mult(mult(mult(mult(a, b), c), a), b), a) = mult(mult(mult(mult(a, b), c), a), mult(a, b)))) <=> (~(mult(mult(mult(a, a), mult(mult(b, c), b)), a) = mult(mult(a, a), mult(a, mult(mult(b, c), b)))))),
% 4.79/5.01 inference(monotonicity,[status(thm)],[6296])).
% 4.79/5.01 tff(6298,plain,
% 4.79/5.01 (~(mult(mult(mult(a, a), mult(mult(b, c), b)), a) = mult(mult(a, a), mult(a, mult(mult(b, c), b))))),
% 4.79/5.01 inference(modus_ponens,[status(thm)],[6109, 6297])).
% 4.79/5.01 tff(6299,plain,
% 4.79/5.01 (((~(mult(mult(mult(a, a), a), mult(mult(b, c), b)) = mult(mult(a, a), mult(mult(mult(b, c), b), a)))) | (~(mult(mult(mult(a, a), mult(mult(b, c), b)), a) = mult(mult(a, a), mult(a, mult(mult(b, c), b)))))) | (mult(mult(mult(a, a), mult(mult(b, c), b)), a) = mult(mult(a, a), mult(a, mult(mult(b, c), b))))),
% 4.79/5.01 inference(tautology,[status(thm)],[])).
% 4.79/5.01 tff(6300,plain,
% 4.79/5.01 ((~(mult(mult(mult(a, a), a), mult(mult(b, c), b)) = mult(mult(a, a), mult(mult(mult(b, c), b), a)))) | (~(mult(mult(mult(a, a), mult(mult(b, c), b)), a) = mult(mult(a, a), mult(a, mult(mult(b, c), b)))))),
% 4.79/5.01 inference(unit_resolution,[status(thm)],[6299, 6298])).
% 4.79/5.01 tff(6301,plain,
% 4.79/5.01 (((~![X0: $i, X1: $i, X2: $i] : ((~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X2, X1)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X1, X2)))))) | (~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X1, X2)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X2, X1)))))))) | ((~((~(mult(mult(mult(a, a), a), mult(mult(b, c), b)) = mult(mult(a, a), mult(mult(mult(b, c), b), a)))) | (~(mult(mult(mult(a, a), mult(mult(b, c), b)), a) = mult(mult(a, a), mult(a, mult(mult(b, c), b))))))) | (~((~(mult(mult(mult(a, a), a), mult(mult(b, c), b)) = mult(mult(a, a), mult(a, mult(mult(b, c), b))))) | (~(mult(mult(mult(a, a), mult(mult(b, c), b)), a) = mult(mult(a, a), mult(mult(mult(b, c), b), a)))))))) <=> ((~![X0: $i, X1: $i, X2: $i] : ((~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X2, X1)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X1, X2)))))) | (~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X1, X2)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X2, X1)))))))) | (~((~(mult(mult(mult(a, a), a), mult(mult(b, c), b)) = mult(mult(a, a), mult(mult(mult(b, c), b), a)))) | (~(mult(mult(mult(a, a), mult(mult(b, c), b)), a) = mult(mult(a, a), mult(a, mult(mult(b, c), b))))))) | (~((~(mult(mult(mult(a, a), a), mult(mult(b, c), b)) = mult(mult(a, a), mult(a, mult(mult(b, c), b))))) | (~(mult(mult(mult(a, a), mult(mult(b, c), b)), a) = mult(mult(a, a), mult(mult(mult(b, c), b), a)))))))),
% 4.79/5.01 inference(rewrite,[status(thm)],[])).
% 4.79/5.01 tff(6302,plain,
% 4.79/5.01 ((~![X0: $i, X1: $i, X2: $i] : ((~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X2, X1)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X1, X2)))))) | (~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X1, X2)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X2, X1)))))))) | ((~((~(mult(mult(mult(a, a), a), mult(mult(b, c), b)) = mult(mult(a, a), mult(mult(mult(b, c), b), a)))) | (~(mult(mult(mult(a, a), mult(mult(b, c), b)), a) = mult(mult(a, a), mult(a, mult(mult(b, c), b))))))) | (~((~(mult(mult(mult(a, a), a), mult(mult(b, c), b)) = mult(mult(a, a), mult(a, mult(mult(b, c), b))))) | (~(mult(mult(mult(a, a), mult(mult(b, c), b)), a) = mult(mult(a, a), mult(mult(mult(b, c), b), a)))))))),
% 4.79/5.01 inference(quant_inst,[status(thm)],[])).
% 4.79/5.01 tff(6303,plain,
% 4.79/5.01 ((~![X0: $i, X1: $i, X2: $i] : ((~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X2, X1)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X1, X2)))))) | (~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X1, X2)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X2, X1)))))))) | (~((~(mult(mult(mult(a, a), a), mult(mult(b, c), b)) = mult(mult(a, a), mult(mult(mult(b, c), b), a)))) | (~(mult(mult(mult(a, a), mult(mult(b, c), b)), a) = mult(mult(a, a), mult(a, mult(mult(b, c), b))))))) | (~((~(mult(mult(mult(a, a), a), mult(mult(b, c), b)) = mult(mult(a, a), mult(a, mult(mult(b, c), b))))) | (~(mult(mult(mult(a, a), mult(mult(b, c), b)), a) = mult(mult(a, a), mult(mult(mult(b, c), b), a))))))),
% 4.79/5.01 inference(modus_ponens,[status(thm)],[6302, 6301])).
% 4.79/5.01 tff(6304,plain,
% 4.79/5.01 ((~((~(mult(mult(mult(a, a), a), mult(mult(b, c), b)) = mult(mult(a, a), mult(mult(mult(b, c), b), a)))) | (~(mult(mult(mult(a, a), mult(mult(b, c), b)), a) = mult(mult(a, a), mult(a, mult(mult(b, c), b))))))) | (~((~(mult(mult(mult(a, a), a), mult(mult(b, c), b)) = mult(mult(a, a), mult(a, mult(mult(b, c), b))))) | (~(mult(mult(mult(a, a), mult(mult(b, c), b)), a) = mult(mult(a, a), mult(mult(mult(b, c), b), a))))))),
% 4.79/5.01 inference(unit_resolution,[status(thm)],[6303, 30])).
% 4.79/5.01 tff(6305,plain,
% 4.79/5.01 (~((~(mult(mult(mult(a, a), a), mult(mult(b, c), b)) = mult(mult(a, a), mult(a, mult(mult(b, c), b))))) | (~(mult(mult(mult(a, a), mult(mult(b, c), b)), a) = mult(mult(a, a), mult(mult(mult(b, c), b), a)))))),
% 4.79/5.01 inference(unit_resolution,[status(thm)],[6304, 6300])).
% 4.79/5.01 tff(6306,plain,
% 4.79/5.01 (((~(mult(mult(mult(a, a), a), mult(mult(b, c), b)) = mult(mult(a, a), mult(a, mult(mult(b, c), b))))) | (~(mult(mult(mult(a, a), mult(mult(b, c), b)), a) = mult(mult(a, a), mult(mult(mult(b, c), b), a))))) | (mult(mult(mult(a, a), a), mult(mult(b, c), b)) = mult(mult(a, a), mult(a, mult(mult(b, c), b))))),
% 4.79/5.01 inference(tautology,[status(thm)],[])).
% 4.79/5.01 tff(6307,plain,
% 4.79/5.01 (mult(mult(mult(a, a), a), mult(mult(b, c), b)) = mult(mult(a, a), mult(a, mult(mult(b, c), b)))),
% 4.79/5.01 inference(unit_resolution,[status(thm)],[6306, 6305])).
% 4.79/5.01 tff(6308,plain,
% 4.79/5.01 (mult(mult(a, mult(a, a)), mult(mult(b, c), b)) = mult(mult(mult(a, a), a), mult(mult(b, c), b))),
% 4.79/5.01 inference(monotonicity,[status(thm)],[5709])).
% 4.79/5.01 tff(6309,assumption,(mult(mult(mult(a, b), mult(a, c)), a) = mult(mult(a, b), mult(a, mult(a, c)))), introduced(assumption)).
% 4.79/5.01 tff(6310,plain,
% 4.79/5.01 (mult(mult(mult(a, a), b), mult(a, c)) = mult(mult(a, mult(a, b)), mult(a, c))),
% 4.79/5.01 inference(symmetry,[status(thm)],[6194])).
% 4.79/5.01 tff(6311,plain,
% 4.79/5.01 (mult(mult(mult(mult(a, a), b), c), a) = mult(mult(mult(mult(a, b), c), a), a)),
% 4.79/5.01 inference(monotonicity,[status(thm)],[6288])).
% 4.79/5.01 tff(6312,plain,
% 4.79/5.01 (mult(mult(mult(mult(a, a), b), c), a) = mult(a, mult(mult(a, c), mult(a, b)))),
% 4.79/5.01 inference(transitivity,[status(thm)],[6311, 6086, 5500, 6089])).
% 4.79/5.01 tff(6313,plain,
% 4.79/5.01 ((mult(mult(mult(mult(a, a), b), c), a) = mult(mult(mult(a, a), b), mult(a, c))) <=> (mult(a, mult(mult(a, c), mult(a, b))) = mult(mult(a, mult(a, b)), mult(a, c)))),
% 4.79/5.01 inference(monotonicity,[status(thm)],[6312, 6310])).
% 4.79/5.01 tff(6314,plain,
% 4.79/5.01 ((mult(mult(mult(mult(a, a), b), c), a) = mult(mult(mult(a, a), b), mult(a, c))) <=> (mult(mult(a, mult(a, b)), mult(a, c)) = mult(a, mult(mult(a, c), mult(a, b))))),
% 4.79/5.01 inference(transitivity,[status(thm)],[6313, 5536])).
% 4.79/5.01 tff(6315,plain,
% 4.79/5.01 ((mult(mult(a, mult(a, b)), mult(a, c)) = mult(a, mult(mult(a, c), mult(a, b)))) <=> (mult(mult(mult(mult(a, a), b), c), a) = mult(mult(mult(a, a), b), mult(a, c)))),
% 4.79/5.01 inference(symmetry,[status(thm)],[6314])).
% 4.79/5.01 tff(6316,plain,
% 4.79/5.01 (mult(mult(a, a), mult(b, mult(a, c))) = mult(a, mult(mult(a, c), mult(a, b)))),
% 4.79/5.01 inference(transitivity,[status(thm)],[5572, 6063, 6099, 6093])).
% 4.79/5.01 tff(6317,plain,
% 4.79/5.01 ((mult(mult(mult(a, a), b), mult(a, c)) = mult(mult(a, a), mult(b, mult(a, c)))) <=> (mult(mult(a, mult(a, b)), mult(a, c)) = mult(a, mult(mult(a, c), mult(a, b))))),
% 4.79/5.01 inference(monotonicity,[status(thm)],[6310, 6316])).
% 4.79/5.01 tff(6318,plain,
% 4.79/5.01 ((mult(mult(mult(a, a), b), mult(a, c)) = mult(mult(a, a), mult(b, mult(a, c)))) <=> (mult(mult(mult(mult(a, a), b), c), a) = mult(mult(mult(a, a), b), mult(a, c)))),
% 4.79/5.01 inference(transitivity,[status(thm)],[6317, 6315])).
% 4.79/5.01 tff(6319,plain,
% 4.79/5.01 (mult(mult(mult(mult(a, a), b), c), a) = mult(mult(mult(a, a), b), mult(a, c))),
% 4.79/5.01 inference(modus_ponens,[status(thm)],[6276, 6318])).
% 4.79/5.01 tff(6320,assumption,(mult(mult(mult(a, a), mult(a, b)), c) = mult(mult(a, a), mult(mult(a, b), c))), introduced(assumption)).
% 4.79/5.01 tff(6321,assumption,(mult(mult(mult(mult(a, a), b), c), a) = mult(mult(mult(a, a), b), mult(a, c))), introduced(assumption)).
% 4.79/5.01 tff(6322,plain,
% 4.79/5.01 (mult(mult(a, a), mult(b, c)) = mult(a, mult(mult(a, c), b))),
% 4.79/5.01 inference(transitivity,[status(thm)],[6066, 5686])).
% 4.79/5.01 tff(6323,plain,
% 4.79/5.01 (mult(mult(mult(a, a), b), c) = mult(mult(a, b), mult(a, c))),
% 4.79/5.01 inference(transitivity,[status(thm)],[5347, 269, 1414, 708, 609, 168])).
% 4.79/5.01 tff(6324,plain,
% 4.79/5.01 ((mult(mult(mult(a, a), b), c) = mult(mult(a, a), mult(b, c))) <=> (mult(mult(a, b), mult(a, c)) = mult(a, mult(mult(a, c), b)))),
% 4.79/5.01 inference(monotonicity,[status(thm)],[6323, 6322])).
% 4.79/5.01 tff(6325,plain,
% 4.79/5.01 ((mult(mult(a, b), mult(a, c)) = mult(a, mult(mult(a, c), b))) <=> (mult(mult(mult(a, a), b), c) = mult(mult(a, a), mult(b, c)))),
% 4.79/5.01 inference(symmetry,[status(thm)],[6324])).
% 4.79/5.01 tff(6326,plain,
% 4.79/5.01 (mult(mult(mult(a, a), b), c) = mult(mult(a, a), mult(b, c))),
% 4.79/5.01 inference(modus_ponens,[status(thm)],[6084, 6325])).
% 4.79/5.01 tff(6327,plain,
% 4.79/5.01 (~(mult(mult(mult(a, a), mult(c, b)), a) = mult(mult(a, a), mult(a, mult(c, b))))),
% 4.79/5.01 inference(unit_resolution,[status(thm)],[5454, 6096, 593, 91, 6038, 594, 97, 1581])).
% 4.79/5.01 tff(6328,plain,
% 4.79/5.01 ((~(mult(mult(mult(a, a), a), mult(c, b)) = mult(mult(a, a), mult(mult(c, b), a)))) | (~(mult(mult(mult(a, a), mult(c, b)), a) = mult(mult(a, a), mult(a, mult(c, b)))))),
% 4.79/5.01 inference(unit_resolution,[status(thm)],[5456, 6327])).
% 4.79/5.01 tff(6329,plain,
% 4.79/5.01 (~((~(mult(mult(mult(a, a), a), mult(c, b)) = mult(mult(a, a), mult(a, mult(c, b))))) | (~(mult(mult(mult(a, a), mult(c, b)), a) = mult(mult(a, a), mult(mult(c, b), a)))))),
% 4.79/5.01 inference(unit_resolution,[status(thm)],[5461, 6328])).
% 4.79/5.01 tff(6330,plain,
% 4.79/5.01 (mult(mult(mult(a, a), a), mult(c, b)) = mult(mult(a, a), mult(a, mult(c, b)))),
% 4.79/5.01 inference(unit_resolution,[status(thm)],[5694, 6329])).
% 4.79/5.01 tff(6331,plain,
% 4.79/5.01 ((~![B: $i, A: $i] : (rd(mult(A, B), B) = A)) | (rd(mult(mult(mult(a, mult(a, a)), b), c), c) = mult(mult(a, mult(a, a)), b))),
% 4.79/5.01 inference(quant_inst,[status(thm)],[])).
% 4.79/5.01 tff(6332,plain,
% 4.79/5.01 (rd(mult(mult(mult(a, mult(a, a)), b), c), c) = mult(mult(a, mult(a, a)), b)),
% 4.79/5.01 inference(unit_resolution,[status(thm)],[6331, 72])).
% 4.79/5.01 tff(6333,plain,
% 4.79/5.01 (mult(a, mult(mult(a, a), b)) = mult(a, mult(a, mult(a, b)))),
% 4.79/5.01 inference(monotonicity,[status(thm)],[448])).
% 4.79/5.01 tff(6334,plain,
% 4.79/5.01 (mult(a, mult(a, mult(a, b))) = mult(a, mult(mult(a, a), b))),
% 4.79/5.01 inference(symmetry,[status(thm)],[6333])).
% 4.79/5.01 tff(6335,plain,
% 4.79/5.01 (mult(mult(a, mult(a, mult(a, b))), c) = mult(mult(a, mult(mult(a, a), b)), c)),
% 4.79/5.01 inference(monotonicity,[status(thm)],[6334])).
% 4.79/5.01 tff(6336,plain,
% 4.79/5.01 (mult(mult(a, mult(mult(a, a), b)), c) = mult(mult(a, mult(a, mult(a, b))), c)),
% 4.79/5.01 inference(symmetry,[status(thm)],[6335])).
% 4.79/5.01 tff(6337,plain,
% 4.79/5.01 (mult(a, mult(c, mult(mult(a, a), b))) = mult(mult(a, mult(mult(a, a), b)), c)),
% 4.79/5.01 inference(symmetry,[status(thm)],[6055])).
% 4.79/5.01 tff(6338,plain,
% 4.79/5.01 (~(mult(mult(a, mult(b, c)), a) = mult(a, mult(a, mult(b, c))))),
% 4.79/5.01 inference(unit_resolution,[status(thm)],[1129, 168, 1110, 707, 91, 97, 594, 65])).
% 4.79/5.01 tff(6339,plain,
% 4.79/5.01 ((~(mult(mult(a, a), mult(b, c)) = mult(a, mult(mult(b, c), a)))) | (~(mult(mult(a, mult(b, c)), a) = mult(a, mult(a, mult(b, c)))))),
% 4.79/5.01 inference(unit_resolution,[status(thm)],[95, 6338])).
% 4.79/5.01 tff(6340,plain,
% 4.79/5.01 (~((~(mult(mult(a, a), mult(b, c)) = mult(a, mult(a, mult(b, c))))) | (~(mult(mult(a, mult(b, c)), a) = mult(a, mult(mult(b, c), a)))))),
% 4.79/5.02 inference(unit_resolution,[status(thm)],[503, 30, 6339])).
% 4.79/5.02 tff(6341,plain,
% 4.79/5.02 (mult(mult(a, a), mult(b, c)) = mult(a, mult(a, mult(b, c)))),
% 4.79/5.02 inference(unit_resolution,[status(thm)],[2627, 6340])).
% 4.79/5.02 tff(6342,plain,
% 4.79/5.02 (mult(a, mult(c, mult(a, b))) = mult(a, mult(mult(a, c), b))),
% 4.79/5.02 inference(transitivity,[status(thm)],[270, 2630, 2629, 6341, 2719])).
% 4.79/5.02 tff(6343,plain,
% 4.79/5.02 (ld(a, mult(a, mult(c, mult(a, b)))) = ld(a, mult(a, mult(mult(a, c), b)))),
% 4.79/5.02 inference(monotonicity,[status(thm)],[6342])).
% 4.79/5.02 tff(6344,plain,
% 4.79/5.02 (mult(c, mult(a, b)) = mult(mult(a, c), b)),
% 4.79/5.02 inference(transitivity,[status(thm)],[668, 6343, 2212])).
% 4.79/5.02 tff(6345,plain,
% 4.79/5.02 (mult(mult(c, mult(a, b)), a) = mult(mult(mult(a, c), b), a)),
% 4.79/5.02 inference(monotonicity,[status(thm)],[6344])).
% 4.79/5.02 tff(6346,plain,
% 4.79/5.02 (mult(c, mult(a, mult(a, b))) = mult(mult(c, mult(a, b)), a)),
% 4.79/5.02 inference(symmetry,[status(thm)],[6056])).
% 4.79/5.02 tff(6347,plain,
% 4.79/5.02 (mult(c, mult(mult(a, a), b)) = mult(c, mult(a, mult(a, b)))),
% 4.79/5.02 inference(monotonicity,[status(thm)],[448])).
% 4.79/5.02 tff(6348,plain,
% 4.79/5.02 (mult(c, mult(mult(a, a), b)) = mult(mult(a, c), mult(a, b))),
% 4.79/5.02 inference(transitivity,[status(thm)],[6347, 6346, 6345, 594])).
% 4.79/5.02 tff(6349,plain,
% 4.79/5.02 (mult(a, mult(c, mult(mult(a, a), b))) = mult(a, mult(mult(a, c), mult(a, b)))),
% 4.79/5.02 inference(monotonicity,[status(thm)],[6348])).
% 4.79/5.02 tff(6350,plain,
% 4.79/5.02 (mult(a, mult(mult(a, c), mult(a, b))) = mult(a, mult(c, mult(mult(a, a), b)))),
% 4.79/5.02 inference(symmetry,[status(thm)],[6349])).
% 4.79/5.02 tff(6351,plain,
% 4.79/5.02 (mult(a, mult(a, mult(a, mult(c, b)))) = mult(a, mult(mult(a, c), mult(a, b)))),
% 4.79/5.02 inference(monotonicity,[status(thm)],[6074])).
% 4.79/5.02 tff(6352,plain,
% 4.79/5.02 (mult(mult(mult(a, mult(a, a)), b), c) = mult(mult(a, mult(a, mult(a, b))), c)),
% 4.79/5.02 inference(transitivity,[status(thm)],[5915, 5710, 5800, 5509, 6351, 6350, 6337, 6336])).
% 4.79/5.02 tff(6353,plain,
% 4.79/5.02 (rd(mult(mult(mult(a, mult(a, a)), b), c), c) = rd(mult(mult(a, mult(a, mult(a, b))), c), c)),
% 4.79/5.02 inference(monotonicity,[status(thm)],[6352])).
% 4.79/5.02 tff(6354,plain,
% 4.79/5.02 (rd(mult(mult(a, mult(a, mult(a, b))), c), c) = rd(mult(mult(mult(a, mult(a, a)), b), c), c)),
% 4.79/5.02 inference(symmetry,[status(thm)],[6353])).
% 4.79/5.02 tff(6355,plain,
% 4.79/5.02 (mult(mult(a, mult(b, c)), a) = mult(a, mult(mult(b, c), a))),
% 4.79/5.02 inference(unit_resolution,[status(thm)],[506, 6340])).
% 4.79/5.02 tff(6356,plain,
% 4.79/5.02 (mult(a, mult(a, mult(c, b))) = mult(a, mult(mult(b, c), a))),
% 4.79/5.02 inference(transitivity,[status(thm)],[611, 948, 1106, 2720, 6355])).
% 4.79/5.02 tff(6357,plain,
% 4.79/5.02 (ld(a, mult(a, mult(a, mult(c, b)))) = ld(a, mult(a, mult(mult(b, c), a)))),
% 4.79/5.02 inference(monotonicity,[status(thm)],[6356])).
% 4.79/5.02 tff(6358,plain,
% 4.79/5.02 (ld(a, mult(a, mult(mult(b, c), a))) = ld(a, mult(a, mult(a, mult(c, b))))),
% 4.79/5.02 inference(symmetry,[status(thm)],[6357])).
% 4.79/5.02 tff(6359,plain,
% 4.79/5.02 (mult(mult(b, c), a) = mult(a, mult(c, b))),
% 4.79/5.02 inference(transitivity,[status(thm)],[5314, 6358, 802])).
% 4.79/5.02 tff(6360,plain,
% 4.79/5.02 (mult(mult(a, a), mult(mult(b, c), a)) = mult(mult(a, a), mult(a, mult(c, b)))),
% 4.79/5.02 inference(monotonicity,[status(thm)],[6359])).
% 4.79/5.02 tff(6361,plain,
% 4.79/5.02 (mult(mult(a, b), c) = mult(mult(b, c), a)),
% 4.79/5.02 inference(transitivity,[status(thm)],[91, 803, 6357, 4716])).
% 4.79/5.02 tff(6362,plain,
% 4.79/5.02 (mult(mult(a, a), mult(mult(a, b), c)) = mult(mult(a, a), mult(mult(b, c), a))),
% 4.79/5.02 inference(monotonicity,[status(thm)],[6361])).
% 4.79/5.02 tff(6363,plain,
% 4.79/5.02 (mult(mult(mult(a, a), mult(a, b)), c) = mult(mult(a, mult(a, mult(a, b))), c)),
% 4.79/5.02 inference(transitivity,[status(thm)],[6320, 6362, 6360, 5509, 6351, 6350, 6337, 6336])).
% 4.79/5.02 tff(6364,plain,
% 4.79/5.02 (rd(mult(mult(mult(a, a), mult(a, b)), c), c) = rd(mult(mult(a, mult(a, mult(a, b))), c), c)),
% 4.79/5.02 inference(monotonicity,[status(thm)],[6363])).
% 4.79/5.02 tff(6365,plain,
% 4.79/5.02 ((~![B: $i, A: $i] : (rd(mult(A, B), B) = A)) | (rd(mult(mult(mult(a, a), mult(a, b)), c), c) = mult(mult(a, a), mult(a, b)))),
% 4.79/5.02 inference(quant_inst,[status(thm)],[])).
% 4.79/5.02 tff(6366,plain,
% 4.79/5.02 (rd(mult(mult(mult(a, a), mult(a, b)), c), c) = mult(mult(a, a), mult(a, b))),
% 4.79/5.02 inference(unit_resolution,[status(thm)],[6365, 72])).
% 4.79/5.02 tff(6367,plain,
% 4.79/5.02 (mult(mult(a, a), mult(a, b)) = rd(mult(mult(mult(a, a), mult(a, b)), c), c)),
% 4.79/5.02 inference(symmetry,[status(thm)],[6366])).
% 4.79/5.02 tff(6368,plain,
% 4.79/5.02 (mult(mult(a, a), mult(a, b)) = mult(mult(a, mult(a, a)), b)),
% 4.79/5.02 inference(transitivity,[status(thm)],[6367, 6364, 6354, 6332])).
% 4.79/5.02 tff(6369,plain,
% 4.79/5.02 (mult(mult(mult(a, a), mult(a, b)), mult(b, c)) = mult(mult(mult(a, mult(a, a)), b), mult(b, c))),
% 4.79/5.02 inference(monotonicity,[status(thm)],[6368])).
% 4.79/5.02 tff(6370,plain,
% 4.79/5.02 (mult(mult(mult(a, mult(a, a)), b), mult(b, c)) = mult(mult(mult(a, a), mult(a, b)), mult(b, c))),
% 4.79/5.02 inference(symmetry,[status(thm)],[6369])).
% 4.79/5.02 tff(6371,assumption,(mult(mult(mult(a, mult(a, a)), b), mult(b, c)) = mult(mult(a, mult(a, a)), mult(mult(b, c), b))), introduced(assumption)).
% 4.79/5.02 tff(6372,plain,
% 4.79/5.02 (mult(mult(a, mult(a, a)), mult(mult(b, c), b)) = mult(mult(mult(a, mult(a, a)), b), mult(b, c))),
% 4.79/5.02 inference(symmetry,[status(thm)],[6371])).
% 4.79/5.02 tff(6373,plain,
% 4.79/5.02 (mult(mult(a, mult(a, a)), mult(c, b)) = mult(mult(mult(a, mult(a, a)), b), c)),
% 4.79/5.02 inference(symmetry,[status(thm)],[5915])).
% 4.79/5.02 tff(6374,plain,
% 4.79/5.02 (mult(a, mult(mult(a, c), mult(a, b))) = mult(a, mult(a, mult(a, mult(c, b))))),
% 4.79/5.02 inference(symmetry,[status(thm)],[6351])).
% 4.79/5.02 tff(6375,plain,
% 4.79/5.02 (mult(mult(mult(a, b), c), a) = mult(mult(a, a), mult(b, c))),
% 4.79/5.02 inference(transitivity,[status(thm)],[608, 707, 2197, 270, 2630, 2629])).
% 4.79/5.02 tff(6376,plain,
% 4.79/5.02 (mult(mult(mult(mult(a, b), c), a), a) = mult(mult(mult(a, a), mult(b, c)), a)),
% 4.79/5.02 inference(monotonicity,[status(thm)],[6375])).
% 4.79/5.02 tff(6377,plain,
% 4.79/5.02 (mult(mult(mult(mult(a, b), c), a), a) = mult(mult(mult(a, mult(a, a)), b), c)),
% 4.79/5.02 inference(transitivity,[status(thm)],[6376, 5500, 6089, 6374, 5510, 5801, 5799, 6373])).
% 4.79/5.02 tff(6378,plain,
% 4.79/5.02 (mult(mult(mult(mult(mult(a, b), c), a), a), b) = mult(mult(mult(mult(a, mult(a, a)), b), c), b)),
% 4.79/5.02 inference(monotonicity,[status(thm)],[6377])).
% 4.79/5.02 tff(6379,plain,
% 4.79/5.02 (mult(mult(a, b), mult(a, mult(a, c))) = mult(mult(mult(a, b), mult(a, c)), a)),
% 4.79/5.02 inference(symmetry,[status(thm)],[6309])).
% 4.79/5.02 tff(6380,plain,
% 4.79/5.02 (mult(mult(a, b), mult(a, mult(a, c))) = mult(mult(mult(mult(a, b), c), a), a)),
% 4.79/5.02 inference(transitivity,[status(thm)],[6379, 5504])).
% 4.79/5.02 tff(6381,plain,
% 4.79/5.02 (mult(mult(mult(a, b), mult(a, mult(a, c))), b) = mult(mult(mult(mult(mult(a, b), c), a), a), b)),
% 4.79/5.02 inference(monotonicity,[status(thm)],[6380])).
% 4.79/5.02 tff(6382,plain,
% 4.79/5.02 (mult(mult(mult(b, c), a), a) = mult(mult(a, mult(c, b)), a)),
% 4.79/5.02 inference(monotonicity,[status(thm)],[6359])).
% 4.79/5.02 tff(6383,plain,
% 4.79/5.02 (mult(mult(b, mult(a, c)), a) = mult(mult(mult(b, c), a), a)),
% 4.79/5.02 inference(monotonicity,[status(thm)],[5021])).
% 4.79/5.02 tff(6384,assumption,(mult(mult(b, mult(a, c)), a) = mult(b, mult(a, mult(a, c)))), introduced(assumption)).
% 4.79/5.02 tff(6385,plain,
% 4.79/5.02 (mult(b, mult(a, mult(a, c))) = mult(mult(b, mult(a, c)), a)),
% 4.79/5.02 inference(symmetry,[status(thm)],[6384])).
% 4.79/5.02 tff(6386,plain,
% 4.79/5.02 (mult(b, mult(a, mult(a, c))) = mult(mult(mult(a, b), c), a)),
% 4.79/5.02 inference(transitivity,[status(thm)],[6385, 6383, 6382, 609])).
% 4.79/5.02 tff(6387,plain,
% 4.79/5.02 (mult(mult(b, mult(a, mult(a, c))), b) = mult(mult(mult(mult(a, b), c), a), b)),
% 4.79/5.02 inference(monotonicity,[status(thm)],[6386])).
% 4.79/5.02 tff(6388,plain,
% 4.79/5.02 (mult(mult(mult(mult(a, b), c), a), b) = mult(mult(b, mult(a, mult(a, c))), b)),
% 4.79/5.02 inference(symmetry,[status(thm)],[6387])).
% 4.79/5.02 tff(6389,plain,
% 4.79/5.02 (mult(a, mult(c, mult(a, b))) = mult(mult(mult(a, b), c), a)),
% 4.79/5.02 inference(transitivity,[status(thm)],[2198, 708, 609])).
% 4.79/5.02 tff(6390,plain,
% 4.79/5.02 (mult(mult(a, mult(c, mult(a, b))), b) = mult(mult(mult(mult(a, b), c), a), b)),
% 4.79/5.02 inference(monotonicity,[status(thm)],[6389])).
% 4.79/5.02 tff(6391,plain,
% 4.79/5.02 (mult(mult(a, mult(c, mult(a, b))), b) = mult(mult(b, mult(a, mult(a, c))), b)),
% 4.79/5.02 inference(transitivity,[status(thm)],[6390, 6388])).
% 4.79/5.02 tff(6392,plain,
% 4.79/5.02 (mult(a, mult(mult(a, mult(c, mult(a, b))), b)) = mult(a, mult(mult(b, mult(a, mult(a, c))), b))),
% 4.79/5.02 inference(monotonicity,[status(thm)],[6391])).
% 4.79/5.02 tff(6393,plain,
% 4.79/5.02 (mult(mult(mult(mult(a, b), c), a), b) = mult(mult(a, mult(c, mult(a, b))), b)),
% 4.79/5.02 inference(symmetry,[status(thm)],[6390])).
% 4.79/5.02 tff(6394,plain,
% 4.79/5.02 ((~![B: $i, A: $i] : (rd(mult(A, B), B) = A)) | (rd(mult(mult(mult(mult(mult(a, b), c), a), b), a), a) = mult(mult(mult(mult(a, b), c), a), b))),
% 4.79/5.02 inference(quant_inst,[status(thm)],[])).
% 4.79/5.02 tff(6395,plain,
% 4.79/5.02 (rd(mult(mult(mult(mult(mult(a, b), c), a), b), a), a) = mult(mult(mult(mult(a, b), c), a), b)),
% 4.79/5.02 inference(unit_resolution,[status(thm)],[6394, 72])).
% 4.79/5.02 tff(6396,plain,
% 4.79/5.02 (mult(mult(mult(b, c), a), a) = mult(mult(mult(a, b), c), a)),
% 4.79/5.02 inference(transitivity,[status(thm)],[6382, 609])).
% 4.79/5.02 tff(6397,plain,
% 4.79/5.02 (mult(mult(mult(mult(b, c), a), a), b) = mult(mult(mult(mult(a, b), c), a), b)),
% 4.79/5.02 inference(monotonicity,[status(thm)],[6396])).
% 4.79/5.02 tff(6398,plain,
% 4.79/5.02 (mult(mult(mult(mult(mult(b, c), a), a), b), a) = mult(mult(mult(mult(mult(a, b), c), a), b), a)),
% 4.79/5.02 inference(monotonicity,[status(thm)],[6397])).
% 4.79/5.02 tff(6399,plain,
% 4.79/5.02 (mult(mult(mult(b, c), a), mult(mult(a, b), a)) = mult(mult(mult(mult(mult(a, b), c), a), b), a)),
% 4.79/5.02 inference(transitivity,[status(thm)],[6049, 6398])).
% 4.79/5.02 tff(6400,plain,
% 4.79/5.02 (mult(mult(mult(mult(b, c), a), a), mult(a, b)) = mult(mult(mult(mult(a, b), c), a), mult(a, b))),
% 4.79/5.02 inference(monotonicity,[status(thm)],[6396])).
% 4.79/5.02 tff(6401,plain,
% 4.79/5.02 ((mult(mult(mult(mult(b, c), a), a), mult(a, b)) = mult(mult(mult(b, c), a), mult(mult(a, b), a))) <=> (mult(mult(mult(mult(a, b), c), a), mult(a, b)) = mult(mult(mult(mult(mult(a, b), c), a), b), a))),
% 4.79/5.02 inference(monotonicity,[status(thm)],[6400, 6399])).
% 4.79/5.02 tff(6402,plain,
% 4.79/5.02 ((mult(mult(mult(mult(b, c), a), a), mult(a, b)) = mult(mult(mult(b, c), a), mult(mult(a, b), a))) <=> (mult(mult(mult(mult(mult(a, b), c), a), b), a) = mult(mult(mult(mult(a, b), c), a), mult(a, b)))),
% 4.79/5.02 inference(transitivity,[status(thm)],[6401, 6034])).
% 4.79/5.02 tff(6403,plain,
% 4.79/5.02 ((mult(mult(mult(mult(mult(a, b), c), a), b), a) = mult(mult(mult(mult(a, b), c), a), mult(a, b))) <=> (mult(mult(mult(mult(b, c), a), a), mult(a, b)) = mult(mult(mult(b, c), a), mult(mult(a, b), a)))),
% 4.79/5.02 inference(symmetry,[status(thm)],[6402])).
% 4.79/5.02 tff(6404,plain,
% 4.79/5.02 ((~(mult(mult(mult(mult(mult(a, b), c), a), b), a) = mult(mult(mult(mult(a, b), c), a), mult(a, b)))) <=> (~(mult(mult(mult(mult(b, c), a), a), mult(a, b)) = mult(mult(mult(b, c), a), mult(mult(a, b), a))))),
% 4.79/5.02 inference(monotonicity,[status(thm)],[6403])).
% 4.79/5.02 tff(6405,plain,
% 4.79/5.02 (~(mult(mult(mult(mult(b, c), a), a), mult(a, b)) = mult(mult(mult(b, c), a), mult(mult(a, b), a)))),
% 4.79/5.02 inference(modus_ponens,[status(thm)],[6109, 6404])).
% 4.79/5.02 tff(6406,plain,
% 4.79/5.02 ((~(mult(mult(mult(mult(b, c), a), mult(a, b)), a) = mult(mult(mult(b, c), a), mult(a, mult(a, b))))) | (~(mult(mult(mult(mult(b, c), a), a), mult(a, b)) = mult(mult(mult(b, c), a), mult(mult(a, b), a))))),
% 4.79/5.02 inference(unit_resolution,[status(thm)],[6145, 6405])).
% 4.79/5.02 tff(6407,plain,
% 4.79/5.02 ((~((~(mult(mult(mult(mult(b, c), a), mult(a, b)), a) = mult(mult(mult(b, c), a), mult(a, mult(a, b))))) | (~(mult(mult(mult(mult(b, c), a), a), mult(a, b)) = mult(mult(mult(b, c), a), mult(mult(a, b), a)))))) | (~((~(mult(mult(mult(mult(b, c), a), mult(a, b)), a) = mult(mult(mult(b, c), a), mult(mult(a, b), a)))) | (~(mult(mult(mult(mult(b, c), a), a), mult(a, b)) = mult(mult(mult(b, c), a), mult(a, mult(a, b)))))))),
% 4.79/5.02 inference(unit_resolution,[status(thm)],[6149, 30])).
% 4.79/5.02 tff(6408,plain,
% 4.79/5.02 (~((~(mult(mult(mult(mult(b, c), a), mult(a, b)), a) = mult(mult(mult(b, c), a), mult(mult(a, b), a)))) | (~(mult(mult(mult(mult(b, c), a), a), mult(a, b)) = mult(mult(mult(b, c), a), mult(a, mult(a, b))))))),
% 4.79/5.02 inference(unit_resolution,[status(thm)],[6407, 6406])).
% 4.79/5.02 tff(6409,plain,
% 4.79/5.02 (mult(mult(mult(mult(b, c), a), mult(a, b)), a) = mult(mult(mult(b, c), a), mult(mult(a, b), a))),
% 4.79/5.02 inference(unit_resolution,[status(thm)],[6151, 6408])).
% 4.79/5.02 tff(6410,plain,
% 4.79/5.02 (mult(mult(mult(mult(b, c), a), mult(a, b)), a) = mult(mult(mult(mult(mult(a, b), c), a), b), a)),
% 4.79/5.02 inference(transitivity,[status(thm)],[6409, 6049, 6398])).
% 4.79/5.02 tff(6411,plain,
% 4.79/5.02 (rd(mult(mult(mult(mult(b, c), a), mult(a, b)), a), a) = rd(mult(mult(mult(mult(mult(a, b), c), a), b), a), a)),
% 4.79/5.02 inference(monotonicity,[status(thm)],[6410])).
% 4.79/5.02 tff(6412,plain,
% 4.79/5.02 (mult(mult(mult(b, c), a), mult(a, b)) = rd(mult(mult(mult(mult(b, c), a), mult(a, b)), a), a)),
% 4.79/5.02 inference(symmetry,[status(thm)],[6134])).
% 4.79/5.02 tff(6413,plain,
% 4.79/5.02 (mult(mult(mult(b, c), a), mult(a, b)) = mult(mult(a, mult(c, mult(a, b))), b)),
% 4.79/5.02 inference(transitivity,[status(thm)],[6412, 6411, 6395, 6393])).
% 4.79/5.02 tff(6414,plain,
% 4.79/5.02 (mult(a, mult(mult(mult(b, c), a), mult(a, b))) = mult(a, mult(mult(a, mult(c, mult(a, b))), b))),
% 4.79/5.02 inference(monotonicity,[status(thm)],[6413])).
% 4.79/5.02 tff(6415,plain,
% 4.79/5.02 (mult(mult(mult(a, b), c), mult(a, b)) = mult(mult(mult(b, c), a), mult(a, b))),
% 4.79/5.02 inference(monotonicity,[status(thm)],[6361])).
% 4.79/5.02 tff(6416,plain,
% 4.79/5.02 (mult(a, mult(mult(mult(a, b), c), mult(a, b))) = mult(a, mult(mult(mult(b, c), a), mult(a, b)))),
% 4.79/5.02 inference(monotonicity,[status(thm)],[6415])).
% 4.79/5.02 tff(6417,plain,
% 4.79/5.02 (mult(mult(mult(a, b), c), a) = mult(mult(a, mult(a, b)), c)),
% 4.79/5.02 inference(transitivity,[status(thm)],[608, 707, 2197, 270])).
% 4.79/5.02 tff(6418,plain,
% 4.79/5.02 (mult(mult(mult(mult(a, b), c), a), mult(a, b)) = mult(mult(mult(a, mult(a, b)), c), mult(a, b))),
% 4.79/5.02 inference(monotonicity,[status(thm)],[6417])).
% 4.79/5.02 tff(6419,plain,
% 4.79/5.02 (mult(mult(a, a), mult(b, c)) = mult(mult(mult(a, b), c), a)),
% 4.79/5.02 inference(transitivity,[status(thm)],[2901, 1896, 269, 2198, 708, 609])).
% 4.79/5.02 tff(6420,plain,
% 4.79/5.02 (mult(mult(mult(a, a), mult(b, c)), mult(a, b)) = mult(mult(mult(mult(a, b), c), a), mult(a, b))),
% 4.79/5.02 inference(monotonicity,[status(thm)],[6419])).
% 4.79/5.02 tff(6421,plain,
% 4.79/5.02 (mult(mult(mult(a, a), mult(b, c)), mult(a, b)) = mult(mult(mult(a, a), mult(a, b)), mult(b, c))),
% 4.79/5.02 inference(transitivity,[status(thm)],[6420, 6418, 6127, 6416, 6414, 6392, 5972, 6381, 6378, 5821, 6372, 6370])).
% 4.79/5.02 tff(6422,plain,
% 4.79/5.02 ((mult(mult(mult(a, a), mult(b, c)), mult(a, b)) = mult(mult(a, a), mult(mult(a, b), mult(b, c)))) <=> (mult(mult(mult(a, a), mult(a, b)), mult(b, c)) = mult(mult(a, a), mult(mult(a, b), mult(b, c))))),
% 4.79/5.02 inference(monotonicity,[status(thm)],[6421])).
% 4.79/5.02 tff(6423,plain,
% 4.79/5.02 ((~(mult(mult(mult(a, a), mult(b, c)), mult(a, b)) = mult(mult(a, a), mult(mult(a, b), mult(b, c))))) <=> (~(mult(mult(mult(a, a), mult(a, b)), mult(b, c)) = mult(mult(a, a), mult(mult(a, b), mult(b, c)))))),
% 4.79/5.02 inference(monotonicity,[status(thm)],[6422])).
% 4.79/5.02 tff(6424,plain,
% 4.79/5.02 (mult(c, mult(a, b)) = mult(mult(a, c), b)),
% 4.79/5.02 inference(transitivity,[status(thm)],[668, 5922, 2212])).
% 4.79/5.02 tff(6425,plain,
% 4.79/5.02 (mult(mult(c, mult(a, b)), a) = mult(mult(mult(a, c), b), a)),
% 4.79/5.02 inference(monotonicity,[status(thm)],[6424])).
% 4.79/5.02 tff(6426,plain,
% 4.79/5.02 (mult(c, mult(mult(a, a), b)) = mult(mult(a, c), mult(a, b))),
% 4.79/5.02 inference(transitivity,[status(thm)],[6347, 6346, 6425, 594])).
% 4.79/5.02 tff(6427,plain,
% 4.79/5.02 (mult(a, mult(c, mult(mult(a, a), b))) = mult(a, mult(mult(a, c), mult(a, b)))),
% 4.79/5.02 inference(monotonicity,[status(thm)],[6426])).
% 4.79/5.02 tff(6428,plain,
% 4.79/5.02 (mult(a, mult(mult(a, c), mult(a, b))) = mult(a, mult(c, mult(mult(a, a), b)))),
% 4.79/5.02 inference(symmetry,[status(thm)],[6427])).
% 4.79/5.02 tff(6429,plain,
% 4.79/5.02 (mult(mult(mult(a, mult(a, a)), b), c) = mult(mult(a, mult(a, mult(a, b))), c)),
% 4.79/5.02 inference(transitivity,[status(thm)],[5915, 5710, 5800, 5509, 5896, 6428, 6337, 6336])).
% 4.79/5.02 tff(6430,plain,
% 4.79/5.02 (rd(mult(mult(mult(a, mult(a, a)), b), c), c) = rd(mult(mult(a, mult(a, mult(a, b))), c), c)),
% 4.79/5.02 inference(monotonicity,[status(thm)],[6429])).
% 4.79/5.02 tff(6431,plain,
% 4.79/5.02 (rd(mult(mult(a, mult(a, mult(a, b))), c), c) = rd(mult(mult(mult(a, mult(a, a)), b), c), c)),
% 4.79/5.02 inference(symmetry,[status(thm)],[6430])).
% 4.79/5.02 tff(6432,plain,
% 4.79/5.02 (mult(mult(a, a), mult(mult(b, c), a)) = mult(mult(a, a), mult(a, mult(c, b)))),
% 4.79/5.02 inference(monotonicity,[status(thm)],[5567])).
% 4.79/5.02 tff(6433,plain,
% 4.79/5.02 (mult(mult(a, b), c) = mult(mult(b, c), a)),
% 4.79/5.02 inference(transitivity,[status(thm)],[106, 803, 5520, 4716])).
% 4.79/5.02 tff(6434,plain,
% 4.79/5.02 (mult(mult(a, a), mult(mult(a, b), c)) = mult(mult(a, a), mult(mult(b, c), a))),
% 4.79/5.02 inference(monotonicity,[status(thm)],[6433])).
% 4.79/5.02 tff(6435,plain,
% 4.79/5.02 (mult(mult(mult(a, a), mult(a, b)), c) = mult(mult(a, mult(a, mult(a, b))), c)),
% 4.79/5.02 inference(transitivity,[status(thm)],[6320, 6434, 6432, 5509, 5896, 6428, 6337, 6336])).
% 4.79/5.02 tff(6436,plain,
% 4.79/5.02 (rd(mult(mult(mult(a, a), mult(a, b)), c), c) = rd(mult(mult(a, mult(a, mult(a, b))), c), c)),
% 4.79/5.02 inference(monotonicity,[status(thm)],[6435])).
% 4.79/5.02 tff(6437,plain,
% 4.79/5.02 (mult(mult(a, a), mult(a, b)) = mult(mult(a, mult(a, a)), b)),
% 4.79/5.02 inference(transitivity,[status(thm)],[6367, 6436, 6431, 6332])).
% 4.79/5.02 tff(6438,plain,
% 4.79/5.02 (mult(mult(mult(a, a), mult(a, b)), mult(b, c)) = mult(mult(mult(a, mult(a, a)), b), mult(b, c))),
% 4.79/5.02 inference(monotonicity,[status(thm)],[6437])).
% 4.79/5.02 tff(6439,plain,
% 4.79/5.02 (mult(mult(mult(a, mult(a, a)), b), mult(b, c)) = mult(mult(mult(a, a), mult(a, b)), mult(b, c))),
% 4.79/5.02 inference(symmetry,[status(thm)],[6438])).
% 4.79/5.02 tff(6440,plain,
% 4.79/5.02 (mult(a, mult(mult(a, c), mult(a, b))) = mult(a, mult(a, mult(a, mult(c, b))))),
% 4.79/5.02 inference(symmetry,[status(thm)],[5896])).
% 4.79/5.02 tff(6441,plain,
% 4.79/5.02 (mult(mult(mult(mult(a, b), c), a), a) = mult(mult(mult(a, mult(a, a)), b), c)),
% 4.79/5.02 inference(transitivity,[status(thm)],[5889, 5500, 5498, 6440, 5510, 5801, 5799, 6373])).
% 4.79/5.02 tff(6442,plain,
% 4.79/5.02 (mult(mult(mult(mult(mult(a, b), c), a), a), b) = mult(mult(mult(mult(a, mult(a, a)), b), c), b)),
% 4.79/5.02 inference(monotonicity,[status(thm)],[6441])).
% 4.79/5.02 tff(6443,plain,
% 4.79/5.02 (mult(b, mult(a, mult(a, c))) = mult(mult(mult(a, b), c), a)),
% 4.79/5.02 inference(transitivity,[status(thm)],[6385, 6383, 5568, 108])).
% 4.79/5.02 tff(6444,plain,
% 4.79/5.02 (mult(mult(b, mult(a, mult(a, c))), b) = mult(mult(mult(mult(a, b), c), a), b)),
% 4.79/5.02 inference(monotonicity,[status(thm)],[6443])).
% 4.79/5.02 tff(6445,plain,
% 4.79/5.02 (mult(mult(mult(mult(a, b), c), a), b) = mult(mult(b, mult(a, mult(a, c))), b)),
% 4.79/5.02 inference(symmetry,[status(thm)],[6444])).
% 4.79/5.02 tff(6446,plain,
% 4.79/5.02 (mult(a, mult(c, mult(a, b))) = mult(mult(mult(a, b), c), a)),
% 4.79/5.02 inference(transitivity,[status(thm)],[2198, 708, 108])).
% 4.79/5.02 tff(6447,plain,
% 4.79/5.02 (mult(mult(a, mult(c, mult(a, b))), b) = mult(mult(mult(mult(a, b), c), a), b)),
% 4.79/5.02 inference(monotonicity,[status(thm)],[6446])).
% 4.79/5.02 tff(6448,plain,
% 4.79/5.02 (mult(mult(a, mult(c, mult(a, b))), b) = mult(mult(b, mult(a, mult(a, c))), b)),
% 4.79/5.02 inference(transitivity,[status(thm)],[6447, 6445])).
% 4.79/5.03 tff(6449,plain,
% 4.79/5.03 (mult(a, mult(mult(a, mult(c, mult(a, b))), b)) = mult(a, mult(mult(b, mult(a, mult(a, c))), b))),
% 4.79/5.03 inference(monotonicity,[status(thm)],[6448])).
% 4.79/5.03 tff(6450,plain,
% 4.79/5.03 (mult(mult(mult(mult(a, b), c), a), b) = mult(mult(a, mult(c, mult(a, b))), b)),
% 4.79/5.03 inference(symmetry,[status(thm)],[6447])).
% 4.79/5.03 tff(6451,plain,
% 4.79/5.03 (mult(mult(mult(b, c), a), a) = mult(mult(mult(a, b), c), a)),
% 4.79/5.03 inference(transitivity,[status(thm)],[5568, 108])).
% 4.79/5.03 tff(6452,plain,
% 4.79/5.03 (mult(mult(mult(mult(b, c), a), a), b) = mult(mult(mult(mult(a, b), c), a), b)),
% 4.79/5.03 inference(monotonicity,[status(thm)],[6451])).
% 4.79/5.03 tff(6453,plain,
% 4.79/5.03 (mult(mult(mult(mult(mult(b, c), a), a), b), a) = mult(mult(mult(mult(mult(a, b), c), a), b), a)),
% 4.79/5.03 inference(monotonicity,[status(thm)],[6452])).
% 4.79/5.03 tff(6454,assumption,(mult(mult(mult(mult(b, c), a), mult(a, b)), a) = mult(mult(mult(b, c), a), mult(mult(a, b), a))), introduced(assumption)).
% 4.79/5.03 tff(6455,plain,
% 4.79/5.03 (mult(mult(mult(mult(b, c), a), mult(a, b)), a) = mult(mult(mult(mult(mult(a, b), c), a), b), a)),
% 4.79/5.03 inference(transitivity,[status(thm)],[6454, 6049, 6453])).
% 4.79/5.03 tff(6456,plain,
% 4.79/5.03 (rd(mult(mult(mult(mult(b, c), a), mult(a, b)), a), a) = rd(mult(mult(mult(mult(mult(a, b), c), a), b), a), a)),
% 4.79/5.03 inference(monotonicity,[status(thm)],[6455])).
% 4.79/5.03 tff(6457,plain,
% 4.79/5.03 (mult(mult(mult(b, c), a), mult(a, b)) = mult(mult(a, mult(c, mult(a, b))), b)),
% 4.79/5.03 inference(transitivity,[status(thm)],[6412, 6456, 6395, 6450])).
% 4.79/5.03 tff(6458,plain,
% 4.79/5.03 (mult(a, mult(mult(mult(b, c), a), mult(a, b))) = mult(a, mult(mult(a, mult(c, mult(a, b))), b))),
% 4.79/5.03 inference(monotonicity,[status(thm)],[6457])).
% 4.79/5.03 tff(6459,plain,
% 4.79/5.03 (mult(mult(mult(a, b), c), mult(a, b)) = mult(mult(mult(b, c), a), mult(a, b))),
% 4.79/5.03 inference(monotonicity,[status(thm)],[6433])).
% 4.79/5.03 tff(6460,plain,
% 4.79/5.03 (mult(a, mult(mult(mult(a, b), c), mult(a, b))) = mult(a, mult(mult(mult(b, c), a), mult(a, b)))),
% 4.79/5.03 inference(monotonicity,[status(thm)],[6459])).
% 4.79/5.03 tff(6461,plain,
% 4.79/5.03 (mult(mult(mult(a, b), c), a) = mult(mult(a, mult(a, b)), c)),
% 4.79/5.03 inference(transitivity,[status(thm)],[107, 707, 2197, 270])).
% 4.79/5.03 tff(6462,plain,
% 4.79/5.03 (mult(mult(mult(mult(a, b), c), a), mult(a, b)) = mult(mult(mult(a, mult(a, b)), c), mult(a, b))),
% 4.79/5.03 inference(monotonicity,[status(thm)],[6461])).
% 4.79/5.03 tff(6463,plain,
% 4.79/5.03 (mult(mult(a, a), mult(b, c)) = mult(mult(mult(a, b), c), a)),
% 4.79/5.03 inference(transitivity,[status(thm)],[2901, 1896, 269, 2198, 708, 108])).
% 4.79/5.03 tff(6464,plain,
% 4.79/5.03 (mult(mult(mult(a, a), mult(b, c)), mult(a, b)) = mult(mult(mult(mult(a, b), c), a), mult(a, b))),
% 4.79/5.03 inference(monotonicity,[status(thm)],[6463])).
% 4.79/5.03 tff(6465,plain,
% 4.79/5.03 (mult(mult(mult(a, a), mult(b, c)), mult(a, b)) = mult(mult(mult(a, a), mult(a, b)), mult(b, c))),
% 4.79/5.03 inference(transitivity,[status(thm)],[6464, 6462, 6127, 6460, 6458, 6449, 5972, 6381, 6442, 5821, 6372, 6439])).
% 4.79/5.03 tff(6466,plain,
% 4.79/5.03 ((mult(mult(mult(a, a), mult(b, c)), mult(a, b)) = mult(mult(a, a), mult(mult(b, c), mult(a, b)))) <=> (mult(mult(mult(a, a), mult(a, b)), mult(b, c)) = mult(mult(a, a), mult(mult(b, c), mult(a, b))))),
% 4.79/5.03 inference(monotonicity,[status(thm)],[6465])).
% 4.79/5.03 tff(6467,assumption,(~(mult(mult(mult(a, a), mult(a, b)), mult(b, c)) = mult(mult(a, a), mult(mult(b, c), mult(a, b))))), introduced(assumption)).
% 4.79/5.03 tff(6468,plain,
% 4.79/5.03 (((~(mult(mult(mult(a, a), mult(a, b)), mult(b, c)) = mult(mult(a, a), mult(mult(b, c), mult(a, b))))) | (~(mult(mult(mult(a, a), mult(b, c)), mult(a, b)) = mult(mult(a, a), mult(mult(a, b), mult(b, c)))))) | (mult(mult(mult(a, a), mult(a, b)), mult(b, c)) = mult(mult(a, a), mult(mult(b, c), mult(a, b))))),
% 4.79/5.03 inference(tautology,[status(thm)],[])).
% 4.79/5.03 tff(6469,plain,
% 4.79/5.03 ((~(mult(mult(mult(a, a), mult(a, b)), mult(b, c)) = mult(mult(a, a), mult(mult(b, c), mult(a, b))))) | (~(mult(mult(mult(a, a), mult(b, c)), mult(a, b)) = mult(mult(a, a), mult(mult(a, b), mult(b, c)))))),
% 4.79/5.03 inference(unit_resolution,[status(thm)],[6468, 6467])).
% 4.79/5.03 tff(6470,plain,
% 4.79/5.03 (((~![X0: $i, X1: $i, X2: $i] : ((~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X2, X1)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X1, X2)))))) | (~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X1, X2)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X2, X1)))))))) | ((~((~(mult(mult(mult(a, a), mult(a, b)), mult(b, c)) = mult(mult(a, a), mult(mult(b, c), mult(a, b))))) | (~(mult(mult(mult(a, a), mult(b, c)), mult(a, b)) = mult(mult(a, a), mult(mult(a, b), mult(b, c))))))) | (~((~(mult(mult(mult(a, a), mult(a, b)), mult(b, c)) = mult(mult(a, a), mult(mult(a, b), mult(b, c))))) | (~(mult(mult(mult(a, a), mult(b, c)), mult(a, b)) = mult(mult(a, a), mult(mult(b, c), mult(a, b))))))))) <=> ((~![X0: $i, X1: $i, X2: $i] : ((~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X2, X1)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X1, X2)))))) | (~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X1, X2)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X2, X1)))))))) | (~((~(mult(mult(mult(a, a), mult(a, b)), mult(b, c)) = mult(mult(a, a), mult(mult(b, c), mult(a, b))))) | (~(mult(mult(mult(a, a), mult(b, c)), mult(a, b)) = mult(mult(a, a), mult(mult(a, b), mult(b, c))))))) | (~((~(mult(mult(mult(a, a), mult(a, b)), mult(b, c)) = mult(mult(a, a), mult(mult(a, b), mult(b, c))))) | (~(mult(mult(mult(a, a), mult(b, c)), mult(a, b)) = mult(mult(a, a), mult(mult(b, c), mult(a, b))))))))),
% 4.86/5.03 inference(rewrite,[status(thm)],[])).
% 4.86/5.03 tff(6471,plain,
% 4.86/5.03 ((~![X0: $i, X1: $i, X2: $i] : ((~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X2, X1)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X1, X2)))))) | (~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X1, X2)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X2, X1)))))))) | ((~((~(mult(mult(mult(a, a), mult(a, b)), mult(b, c)) = mult(mult(a, a), mult(mult(b, c), mult(a, b))))) | (~(mult(mult(mult(a, a), mult(b, c)), mult(a, b)) = mult(mult(a, a), mult(mult(a, b), mult(b, c))))))) | (~((~(mult(mult(mult(a, a), mult(a, b)), mult(b, c)) = mult(mult(a, a), mult(mult(a, b), mult(b, c))))) | (~(mult(mult(mult(a, a), mult(b, c)), mult(a, b)) = mult(mult(a, a), mult(mult(b, c), mult(a, b))))))))),
% 4.86/5.03 inference(quant_inst,[status(thm)],[])).
% 4.86/5.03 tff(6472,plain,
% 4.86/5.03 ((~![X0: $i, X1: $i, X2: $i] : ((~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X2, X1)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X1, X2)))))) | (~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X1, X2)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X2, X1)))))))) | (~((~(mult(mult(mult(a, a), mult(a, b)), mult(b, c)) = mult(mult(a, a), mult(mult(b, c), mult(a, b))))) | (~(mult(mult(mult(a, a), mult(b, c)), mult(a, b)) = mult(mult(a, a), mult(mult(a, b), mult(b, c))))))) | (~((~(mult(mult(mult(a, a), mult(a, b)), mult(b, c)) = mult(mult(a, a), mult(mult(a, b), mult(b, c))))) | (~(mult(mult(mult(a, a), mult(b, c)), mult(a, b)) = mult(mult(a, a), mult(mult(b, c), mult(a, b)))))))),
% 4.86/5.03 inference(modus_ponens,[status(thm)],[6471, 6470])).
% 4.86/5.03 tff(6473,plain,
% 4.86/5.03 ((~((~(mult(mult(mult(a, a), mult(a, b)), mult(b, c)) = mult(mult(a, a), mult(mult(b, c), mult(a, b))))) | (~(mult(mult(mult(a, a), mult(b, c)), mult(a, b)) = mult(mult(a, a), mult(mult(a, b), mult(b, c))))))) | (~((~(mult(mult(mult(a, a), mult(a, b)), mult(b, c)) = mult(mult(a, a), mult(mult(a, b), mult(b, c))))) | (~(mult(mult(mult(a, a), mult(b, c)), mult(a, b)) = mult(mult(a, a), mult(mult(b, c), mult(a, b)))))))),
% 4.86/5.03 inference(unit_resolution,[status(thm)],[6472, 30])).
% 4.86/5.03 tff(6474,plain,
% 4.86/5.03 (~((~(mult(mult(mult(a, a), mult(a, b)), mult(b, c)) = mult(mult(a, a), mult(mult(a, b), mult(b, c))))) | (~(mult(mult(mult(a, a), mult(b, c)), mult(a, b)) = mult(mult(a, a), mult(mult(b, c), mult(a, b))))))),
% 4.86/5.03 inference(unit_resolution,[status(thm)],[6473, 6469])).
% 4.86/5.03 tff(6475,plain,
% 4.86/5.03 (((~(mult(mult(mult(a, a), mult(a, b)), mult(b, c)) = mult(mult(a, a), mult(mult(a, b), mult(b, c))))) | (~(mult(mult(mult(a, a), mult(b, c)), mult(a, b)) = mult(mult(a, a), mult(mult(b, c), mult(a, b)))))) | (mult(mult(mult(a, a), mult(b, c)), mult(a, b)) = mult(mult(a, a), mult(mult(b, c), mult(a, b))))),
% 4.86/5.03 inference(tautology,[status(thm)],[])).
% 4.86/5.03 tff(6476,plain,
% 4.86/5.03 (mult(mult(mult(a, a), mult(b, c)), mult(a, b)) = mult(mult(a, a), mult(mult(b, c), mult(a, b)))),
% 4.86/5.03 inference(unit_resolution,[status(thm)],[6475, 6474])).
% 4.86/5.03 tff(6477,plain,
% 4.86/5.03 (mult(mult(mult(a, a), mult(a, b)), mult(b, c)) = mult(mult(a, a), mult(mult(b, c), mult(a, b)))),
% 4.86/5.03 inference(modus_ponens,[status(thm)],[6476, 6466])).
% 4.86/5.03 tff(6478,plain,
% 4.86/5.03 ($false),
% 4.86/5.03 inference(unit_resolution,[status(thm)],[6467, 6477])).
% 4.86/5.03 tff(6479,plain,((mult(mult(mult(a, a), mult(a, b)), mult(b, c)) = mult(mult(a, a), mult(mult(b, c), mult(a, b)))) | (~(mult(mult(mult(a, mult(a, a)), b), mult(b, c)) = mult(mult(a, mult(a, a)), mult(mult(b, c), b)))) | (~(mult(mult(mult(a, mult(a, a)), b), c) = mult(mult(a, mult(a, a)), mult(c, b)))) | (~(mult(mult(mult(a, a), a), mult(c, b)) = mult(mult(a, a), mult(a, mult(c, b))))) | (~(mult(mult(a, a), mult(a, mult(c, b))) = mult(a, mult(a, mult(a, mult(c, b)))))) | (~(mult(mult(a, c), mult(a, b)) = mult(a, mult(mult(a, b), c)))) | (~(mult(mult(a, b), c) = mult(a, mult(c, b)))) | (~(mult(mult(mult(a, c), b), a) = mult(mult(a, c), mult(a, b)))) | (~(mult(mult(a, c), b) = mult(a, mult(b, c)))) | (~(mult(mult(mult(a, b), mult(a, c)), a) = mult(mult(a, b), mult(a, mult(a, c))))) | (~(mult(mult(mult(a, b), c), a) = mult(mult(a, b), mult(a, c)))) | (~(mult(mult(a, mult(c, b)), a) = mult(a, mult(mult(c, b), a)))) | (~(mult(mult(c, b), a) = mult(c, mult(a, b)))) | (~(mult(mult(b, mult(a, c)), a) = mult(b, mult(a, mult(a, c))))) | (~(mult(mult(a, mult(b, c)), a) = mult(a, mult(mult(b, c), a)))) | (~(mult(mult(b, c), a) = mult(b, mult(a, c)))) | (~(mult(mult(mult(mult(b, c), a), mult(a, b)), a) = mult(mult(mult(b, c), a), mult(mult(a, b), a)))) | (~(mult(mult(a, mult(a, b)), c) = mult(a, mult(c, mult(a, b))))) | (~(mult(mult(mult(a, a), b), c) = mult(mult(a, a), mult(b, c)))) | (~(mult(mult(a, a), b) = mult(a, mult(a, b)))) | (~(mult(mult(a, mult(mult(a, a), b)), c) = mult(a, mult(c, mult(mult(a, a), b))))) | (~(mult(mult(c, mult(a, b)), a) = mult(c, mult(a, mult(a, b))))) | (~(mult(mult(a, a), mult(b, c)) = mult(a, mult(a, mult(b, c))))) | (~(mult(mult(mult(a, a), mult(a, b)), c) = mult(mult(a, a), mult(mult(a, b), c))))), inference(lemma,lemma(discharge,[]))).
% 4.86/5.03 tff(6480,plain,
% 4.86/5.03 (mult(mult(mult(a, a), mult(a, b)), mult(b, c)) = mult(mult(a, a), mult(mult(b, c), mult(a, b)))),
% 4.86/5.03 inference(unit_resolution,[status(thm)],[6479, 6409, 5915, 5800, 5509, 593, 91, 594, 97, 6309, 168, 707, 1110, 6384, 6355, 3449, 6371, 269, 2629, 448, 6055, 6056, 6341, 6320])).
% 4.86/5.03 tff(6481,plain,
% 4.86/5.03 ((~![B: $i, A: $i] : (rd(mult(A, B), B) = A)) | (rd(mult(mult(mult(b, c), a), mult(a, b)), mult(a, b)) = mult(mult(b, c), a))),
% 4.86/5.03 inference(quant_inst,[status(thm)],[])).
% 4.86/5.03 tff(6482,plain,
% 4.86/5.03 (rd(mult(mult(mult(b, c), a), mult(a, b)), mult(a, b)) = mult(mult(b, c), a)),
% 4.86/5.03 inference(unit_resolution,[status(thm)],[6481, 72])).
% 4.86/5.03 tff(6483,plain,
% 4.86/5.03 (mult(mult(mult(mult(b, c), a), mult(a, b)), a) = mult(mult(mult(mult(mult(a, b), c), a), b), a)),
% 4.86/5.03 inference(transitivity,[status(thm)],[6454, 6049, 6398])).
% 4.86/5.03 tff(6484,plain,
% 4.86/5.03 (rd(mult(mult(mult(mult(b, c), a), mult(a, b)), a), a) = rd(mult(mult(mult(mult(mult(a, b), c), a), b), a), a)),
% 4.86/5.03 inference(monotonicity,[status(thm)],[6483])).
% 4.86/5.03 tff(6485,plain,
% 4.86/5.03 (rd(mult(mult(mult(mult(mult(a, b), c), a), b), a), a) = rd(mult(mult(mult(mult(b, c), a), mult(a, b)), a), a)),
% 4.86/5.03 inference(symmetry,[status(thm)],[6484])).
% 4.86/5.03 tff(6486,plain,
% 4.86/5.03 (mult(mult(mult(mult(a, b), c), a), b) = rd(mult(mult(mult(mult(mult(a, b), c), a), b), a), a)),
% 4.86/5.03 inference(symmetry,[status(thm)],[6395])).
% 4.86/5.03 tff(6487,plain,
% 4.86/5.03 (mult(mult(b, mult(a, c)), b) = mult(mult(mult(b, c), a), b)),
% 4.86/5.03 inference(monotonicity,[status(thm)],[5021])).
% 4.86/5.03 tff(6488,plain,
% 4.86/5.03 (mult(mult(mult(b, c), a), b) = mult(mult(b, mult(a, c)), b)),
% 4.86/5.03 inference(symmetry,[status(thm)],[6487])).
% 4.86/5.03 tff(6489,plain,
% 4.86/5.03 (mult(a, mult(mult(mult(b, c), a), b)) = mult(a, mult(mult(b, mult(a, c)), b))),
% 4.86/5.03 inference(monotonicity,[status(thm)],[6488])).
% 4.86/5.03 tff(6490,plain,
% 4.86/5.03 ((~![B: $i, A: $i] : (ld(A, mult(A, B)) = B)) | (ld(mult(a, a), mult(mult(a, a), mult(mult(mult(b, c), a), b))) = mult(mult(mult(b, c), a), b))),
% 4.86/5.03 inference(quant_inst,[status(thm)],[])).
% 4.86/5.03 tff(6491,plain,
% 4.86/5.03 (ld(mult(a, a), mult(mult(a, a), mult(mult(mult(b, c), a), b))) = mult(mult(mult(b, c), a), b)),
% 4.86/5.03 inference(unit_resolution,[status(thm)],[6490, 9])).
% 4.86/5.03 tff(6492,plain,
% 4.86/5.03 (mult(mult(a, a), mult(mult(mult(b, c), a), b)) = mult(mult(a, a), mult(mult(b, mult(a, c)), b))),
% 4.86/5.03 inference(monotonicity,[status(thm)],[6488])).
% 4.86/5.03 tff(6493,plain,
% 4.86/5.03 (mult(mult(a, a), mult(mult(b, mult(a, c)), b)) = mult(mult(a, a), mult(mult(mult(b, c), a), b))),
% 4.86/5.03 inference(symmetry,[status(thm)],[6492])).
% 4.86/5.03 tff(6494,plain,
% 4.86/5.03 (mult(mult(mult(a, a), b), c) = mult(mult(mult(a, b), c), a)),
% 4.86/5.03 inference(transitivity,[status(thm)],[1896, 269, 2198, 708, 609])).
% 4.86/5.03 tff(6495,plain,
% 4.86/5.03 (mult(mult(mult(mult(a, a), b), c), a) = mult(mult(mult(mult(a, b), c), a), a)),
% 4.86/5.03 inference(monotonicity,[status(thm)],[6494])).
% 4.86/5.03 tff(6496,plain,
% 4.86/5.03 (mult(mult(mult(a, a), b), mult(a, c)) = mult(mult(mult(mult(a, a), b), c), a)),
% 4.86/5.03 inference(symmetry,[status(thm)],[6321])).
% 4.86/5.03 tff(6497,plain,
% 4.86/5.03 (mult(mult(mult(a, a), b), mult(a, c)) = mult(mult(mult(mult(a, b), c), a), a)),
% 4.86/5.03 inference(transitivity,[status(thm)],[6496, 6495])).
% 4.86/5.03 tff(6498,plain,
% 4.86/5.03 (mult(mult(mult(mult(a, a), b), mult(a, c)), b) = mult(mult(mult(mult(mult(a, b), c), a), a), b)),
% 4.86/5.03 inference(monotonicity,[status(thm)],[6497])).
% 4.86/5.03 tff(6499,plain,
% 4.86/5.03 (mult(mult(mult(mult(mult(a, b), c), a), a), b) = mult(mult(mult(mult(a, a), b), mult(a, c)), b)),
% 4.86/5.03 inference(symmetry,[status(thm)],[6498])).
% 4.86/5.03 tff(6500,plain,
% 4.86/5.03 (mult(mult(mult(mult(a, mult(a, a)), b), c), b) = mult(mult(mult(mult(mult(a, b), c), a), a), b)),
% 4.86/5.03 inference(symmetry,[status(thm)],[6378])).
% 4.86/5.03 tff(6501,assumption,(mult(mult(mult(a, a), mult(a, b)), mult(b, c)) = mult(mult(a, a), mult(mult(b, c), mult(a, b)))), introduced(assumption)).
% 4.86/5.03 tff(6502,plain,
% 4.86/5.03 (mult(mult(a, a), mult(mult(b, c), mult(a, b))) = mult(mult(mult(a, a), mult(a, b)), mult(b, c))),
% 4.86/5.03 inference(symmetry,[status(thm)],[6501])).
% 4.86/5.03 tff(6503,plain,
% 4.86/5.03 (mult(mult(a, a), mult(mult(b, c), mult(a, b))) = mult(mult(a, a), mult(mult(mult(b, c), a), b))),
% 4.86/5.03 inference(transitivity,[status(thm)],[6502, 6369, 6371, 5822, 6500, 6499, 6187, 6493])).
% 4.86/5.03 tff(6504,plain,
% 4.86/5.03 (ld(mult(a, a), mult(mult(a, a), mult(mult(b, c), mult(a, b)))) = ld(mult(a, a), mult(mult(a, a), mult(mult(mult(b, c), a), b)))),
% 4.86/5.03 inference(monotonicity,[status(thm)],[6503])).
% 4.86/5.03 tff(6505,plain,
% 4.86/5.03 ((~![B: $i, A: $i] : (ld(A, mult(A, B)) = B)) | (ld(mult(a, a), mult(mult(a, a), mult(mult(b, c), mult(a, b)))) = mult(mult(b, c), mult(a, b)))),
% 4.86/5.03 inference(quant_inst,[status(thm)],[])).
% 4.86/5.03 tff(6506,plain,
% 4.86/5.03 (ld(mult(a, a), mult(mult(a, a), mult(mult(b, c), mult(a, b)))) = mult(mult(b, c), mult(a, b))),
% 4.86/5.03 inference(unit_resolution,[status(thm)],[6505, 9])).
% 4.86/5.03 tff(6507,plain,
% 4.86/5.03 (mult(mult(b, c), mult(a, b)) = ld(mult(a, a), mult(mult(a, a), mult(mult(b, c), mult(a, b))))),
% 4.86/5.03 inference(symmetry,[status(thm)],[6506])).
% 4.86/5.03 tff(6508,plain,
% 4.86/5.03 (mult(mult(b, c), mult(a, b)) = mult(mult(mult(b, c), a), b)),
% 4.86/5.03 inference(transitivity,[status(thm)],[6507, 6504, 6491])).
% 4.86/5.03 tff(6509,plain,
% 4.86/5.03 (mult(a, mult(mult(b, c), mult(a, b))) = mult(a, mult(mult(mult(b, c), a), b))),
% 4.86/5.03 inference(monotonicity,[status(thm)],[6508])).
% 4.86/5.03 tff(6510,assumption,(mult(mult(a, mult(b, c)), mult(a, b)) = mult(a, mult(mult(b, c), mult(a, b)))), introduced(assumption)).
% 4.86/5.03 tff(6511,plain,
% 4.86/5.03 (mult(mult(mult(a, c), b), mult(a, b)) = mult(mult(a, mult(b, c)), mult(a, b))),
% 4.86/5.03 inference(monotonicity,[status(thm)],[97])).
% 4.86/5.03 tff(6512,plain,
% 4.86/5.03 (mult(mult(mult(a, c), b), mult(a, b)) = mult(mult(mult(b, c), a), mult(a, b))),
% 4.86/5.03 inference(transitivity,[status(thm)],[6511, 6510, 6509, 6489, 6138, 6135, 6486, 6485, 6134])).
% 4.86/5.03 tff(6513,plain,
% 4.86/5.03 (rd(mult(mult(mult(a, c), b), mult(a, b)), mult(a, b)) = rd(mult(mult(mult(b, c), a), mult(a, b)), mult(a, b))),
% 4.86/5.03 inference(monotonicity,[status(thm)],[6512])).
% 4.86/5.03 tff(6514,plain,
% 4.86/5.03 ((~![B: $i, A: $i] : (rd(mult(A, B), B) = A)) | (rd(mult(mult(mult(a, c), b), mult(a, b)), mult(a, b)) = mult(mult(a, c), b))),
% 4.86/5.03 inference(quant_inst,[status(thm)],[])).
% 4.86/5.03 tff(6515,plain,
% 4.86/5.03 (rd(mult(mult(mult(a, c), b), mult(a, b)), mult(a, b)) = mult(mult(a, c), b)),
% 4.86/5.04 inference(unit_resolution,[status(thm)],[6514, 72])).
% 4.86/5.04 tff(6516,plain,
% 4.86/5.04 (mult(mult(a, c), b) = rd(mult(mult(mult(a, c), b), mult(a, b)), mult(a, b))),
% 4.86/5.04 inference(symmetry,[status(thm)],[6515])).
% 4.86/5.04 tff(6517,plain,
% 4.86/5.04 (mult(mult(a, c), b) = mult(a, mult(c, b))),
% 4.86/5.04 inference(transitivity,[status(thm)],[6516, 6513, 6482, 5314, 6358, 802])).
% 4.86/5.04 tff(6518,plain,
% 4.86/5.04 ($false),
% 4.86/5.04 inference(unit_resolution,[status(thm)],[41, 6517])).
% 4.86/5.04 tff(6519,plain,((~(mult(mult(a, mult(b, c)), mult(a, b)) = mult(a, mult(mult(b, c), mult(a, b))))) | (mult(mult(a, c), b) = mult(a, mult(c, b))) | (~(mult(mult(mult(a, c), b), a) = mult(mult(a, c), mult(a, b)))) | (~(mult(mult(a, c), mult(a, b)) = mult(a, mult(mult(a, b), c)))) | (~(mult(mult(mult(a, b), c), a) = mult(mult(a, b), mult(a, c)))) | (~(mult(mult(b, c), a) = mult(b, mult(a, c)))) | (~(mult(mult(mult(a, a), mult(a, b)), mult(b, c)) = mult(mult(a, a), mult(mult(b, c), mult(a, b))))) | (~(mult(mult(mult(a, mult(a, a)), b), mult(b, c)) = mult(mult(a, mult(a, a)), mult(mult(b, c), b)))) | (~(mult(mult(a, mult(mult(a, a), b)), c) = mult(a, mult(c, mult(mult(a, a), b))))) | (~(mult(mult(mult(a, mult(a, a)), b), c) = mult(mult(a, mult(a, a)), mult(c, b)))) | (~(mult(mult(mult(a, a), a), mult(c, b)) = mult(mult(a, a), mult(a, mult(c, b))))) | (~(mult(mult(a, a), mult(a, mult(c, b))) = mult(a, mult(a, mult(a, mult(c, b)))))) | (~(mult(mult(c, mult(a, b)), a) = mult(c, mult(a, mult(a, b))))) | (~(mult(mult(mult(a, a), b), c) = mult(mult(a, a), mult(b, c)))) | (~(mult(mult(a, mult(a, b)), c) = mult(a, mult(c, mult(a, b))))) | (~(mult(mult(a, a), b) = mult(a, mult(a, b)))) | (~(mult(mult(mult(a, a), mult(a, b)), c) = mult(mult(a, a), mult(mult(a, b), c)))) | (~(mult(mult(a, mult(c, b)), a) = mult(a, mult(mult(c, b), a)))) | (~(mult(mult(c, b), a) = mult(c, mult(a, b)))) | (~(mult(mult(mult(mult(a, a), b), c), a) = mult(mult(mult(a, a), b), mult(a, c)))) | (~(mult(mult(mult(mult(b, c), a), mult(a, b)), a) = mult(mult(mult(b, c), a), mult(mult(a, b), a))))), inference(lemma,lemma(discharge,[]))).
% 4.86/5.04 tff(6520,plain,
% 4.86/5.04 (~(mult(mult(a, mult(b, c)), mult(a, b)) = mult(a, mult(mult(b, c), mult(a, b))))),
% 4.86/5.04 inference(unit_resolution,[status(thm)],[6519, 6480, 594, 593, 168, 3449, 41, 6371, 6055, 5915, 5800, 5509, 6056, 2629, 269, 448, 6320, 707, 1110, 6321, 6409])).
% 4.86/5.04 tff(6521,plain,
% 4.86/5.04 (mult(mult(mult(a, a), b), c) = mult(mult(mult(a, b), c), a)),
% 4.86/5.04 inference(transitivity,[status(thm)],[1896, 269, 2198, 708, 108])).
% 4.86/5.04 tff(6522,plain,
% 4.86/5.04 (mult(mult(mult(mult(a, a), b), c), a) = mult(mult(mult(mult(a, b), c), a), a)),
% 4.86/5.04 inference(monotonicity,[status(thm)],[6521])).
% 4.86/5.04 tff(6523,plain,
% 4.86/5.04 (mult(mult(mult(a, a), b), mult(a, c)) = mult(mult(mult(mult(a, b), c), a), a)),
% 4.86/5.04 inference(transitivity,[status(thm)],[6496, 6522])).
% 4.86/5.04 tff(6524,plain,
% 4.86/5.04 (mult(mult(mult(mult(a, a), b), mult(a, c)), b) = mult(mult(mult(mult(mult(a, b), c), a), a), b)),
% 4.86/5.04 inference(monotonicity,[status(thm)],[6523])).
% 4.86/5.04 tff(6525,plain,
% 4.86/5.04 (mult(mult(mult(mult(mult(a, b), c), a), a), b) = mult(mult(mult(mult(a, a), b), mult(a, c)), b)),
% 4.86/5.04 inference(symmetry,[status(thm)],[6524])).
% 4.86/5.04 tff(6526,plain,
% 4.86/5.04 (mult(mult(mult(mult(a, mult(a, a)), b), c), b) = mult(mult(mult(mult(mult(a, b), c), a), a), b)),
% 4.86/5.04 inference(symmetry,[status(thm)],[6442])).
% 4.86/5.04 tff(6527,plain,
% 4.86/5.04 (mult(mult(mult(a, a), mult(a, b)), mult(b, c)) = mult(mult(a, a), mult(mult(b, c), mult(a, b)))),
% 4.86/5.04 inference(unit_resolution,[status(thm)],[6479, 6454, 5915, 5800, 5509, 593, 106, 594, 117, 6309, 168, 707, 1110, 6384, 510, 3449, 6371, 269, 2629, 448, 6055, 6056, 1154, 6320])).
% 4.86/5.04 tff(6528,plain,
% 4.86/5.04 (mult(mult(a, a), mult(mult(b, c), mult(a, b))) = mult(mult(mult(a, a), mult(a, b)), mult(b, c))),
% 4.86/5.04 inference(symmetry,[status(thm)],[6527])).
% 4.86/5.04 tff(6529,plain,
% 4.86/5.04 (mult(mult(a, a), mult(mult(b, c), mult(a, b))) = mult(mult(a, a), mult(mult(mult(b, c), a), b))),
% 4.86/5.04 inference(transitivity,[status(thm)],[6528, 6438, 6371, 5822, 6526, 6525, 6187, 6493])).
% 4.86/5.04 tff(6530,plain,
% 4.86/5.04 (ld(mult(a, a), mult(mult(a, a), mult(mult(b, c), mult(a, b)))) = ld(mult(a, a), mult(mult(a, a), mult(mult(mult(b, c), a), b)))),
% 4.86/5.04 inference(monotonicity,[status(thm)],[6529])).
% 4.86/5.04 tff(6531,plain,
% 4.86/5.04 (mult(mult(b, c), mult(a, b)) = mult(mult(mult(b, c), a), b)),
% 4.86/5.04 inference(transitivity,[status(thm)],[6507, 6530, 6491])).
% 4.86/5.04 tff(6532,plain,
% 4.86/5.04 (mult(a, mult(mult(b, c), mult(a, b))) = mult(a, mult(mult(mult(b, c), a), b))),
% 4.86/5.04 inference(monotonicity,[status(thm)],[6531])).
% 4.86/5.04 tff(6533,plain,
% 4.86/5.04 (mult(a, mult(mult(mult(b, c), a), b)) = mult(a, mult(mult(b, c), mult(a, b)))),
% 4.86/5.04 inference(symmetry,[status(thm)],[6532])).
% 4.86/5.04 tff(6534,assumption,(mult(mult(mult(a, a), mult(b, c)), mult(a, b)) = mult(mult(a, a), mult(mult(a, b), mult(b, c)))), introduced(assumption)).
% 4.86/5.04 tff(6535,plain,
% 4.86/5.04 (mult(mult(a, a), mult(mult(a, b), mult(b, c))) = mult(mult(mult(a, a), mult(b, c)), mult(a, b))),
% 4.86/5.04 inference(symmetry,[status(thm)],[6534])).
% 4.86/5.04 tff(6536,plain,
% 4.86/5.04 (mult(mult(a, a), mult(mult(a, b), mult(b, c))) = mult(mult(a, a), mult(mult(mult(b, c), a), b))),
% 4.86/5.04 inference(transitivity,[status(thm)],[6535, 6464, 6462, 6127, 6460, 6458, 6449, 5972, 6381, 6525, 6187, 6493])).
% 4.86/5.04 tff(6537,plain,
% 4.86/5.04 (ld(mult(a, a), mult(mult(a, a), mult(mult(a, b), mult(b, c)))) = ld(mult(a, a), mult(mult(a, a), mult(mult(mult(b, c), a), b)))),
% 4.86/5.04 inference(monotonicity,[status(thm)],[6536])).
% 4.86/5.04 tff(6538,plain,
% 4.86/5.04 ((~![B: $i, A: $i] : (ld(A, mult(A, B)) = B)) | (ld(mult(a, a), mult(mult(a, a), mult(mult(a, b), mult(b, c)))) = mult(mult(a, b), mult(b, c)))),
% 4.86/5.04 inference(quant_inst,[status(thm)],[])).
% 4.86/5.04 tff(6539,plain,
% 4.86/5.04 (ld(mult(a, a), mult(mult(a, a), mult(mult(a, b), mult(b, c)))) = mult(mult(a, b), mult(b, c))),
% 4.86/5.04 inference(unit_resolution,[status(thm)],[6538, 9])).
% 4.86/5.04 tff(6540,plain,
% 4.86/5.04 (mult(mult(a, b), mult(b, c)) = ld(mult(a, a), mult(mult(a, a), mult(mult(a, b), mult(b, c))))),
% 4.86/5.04 inference(symmetry,[status(thm)],[6539])).
% 4.86/5.04 tff(6541,plain,
% 4.86/5.04 (mult(mult(a, b), mult(b, c)) = mult(mult(mult(b, c), a), b)),
% 4.86/5.04 inference(transitivity,[status(thm)],[6540, 6537, 6491])).
% 4.86/5.04 tff(6542,plain,
% 4.86/5.04 (mult(a, mult(mult(a, b), mult(b, c))) = mult(a, mult(mult(mult(b, c), a), b))),
% 4.86/5.04 inference(monotonicity,[status(thm)],[6541])).
% 4.86/5.04 tff(6543,assumption,(~(mult(mult(a, mult(b, c)), mult(a, b)) = mult(a, mult(mult(b, c), mult(a, b))))), introduced(assumption)).
% 4.86/5.04 tff(6544,plain,
% 4.86/5.04 (((~(mult(mult(a, mult(a, b)), mult(b, c)) = mult(a, mult(mult(a, b), mult(b, c))))) | (~(mult(mult(a, mult(b, c)), mult(a, b)) = mult(a, mult(mult(b, c), mult(a, b)))))) | (mult(mult(a, mult(b, c)), mult(a, b)) = mult(a, mult(mult(b, c), mult(a, b))))),
% 4.86/5.04 inference(tautology,[status(thm)],[])).
% 4.86/5.04 tff(6545,plain,
% 4.86/5.04 ((~(mult(mult(a, mult(a, b)), mult(b, c)) = mult(a, mult(mult(a, b), mult(b, c))))) | (~(mult(mult(a, mult(b, c)), mult(a, b)) = mult(a, mult(mult(b, c), mult(a, b)))))),
% 4.86/5.04 inference(unit_resolution,[status(thm)],[6544, 6543])).
% 4.86/5.04 tff(6546,plain,
% 4.86/5.04 (((~![X0: $i, X1: $i, X2: $i] : ((~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X2, X1)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X1, X2)))))) | (~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X1, X2)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X2, X1)))))))) | ((~((~(mult(mult(a, mult(a, b)), mult(b, c)) = mult(a, mult(mult(b, c), mult(a, b))))) | (~(mult(mult(a, mult(b, c)), mult(a, b)) = mult(a, mult(mult(a, b), mult(b, c))))))) | (~((~(mult(mult(a, mult(a, b)), mult(b, c)) = mult(a, mult(mult(a, b), mult(b, c))))) | (~(mult(mult(a, mult(b, c)), mult(a, b)) = mult(a, mult(mult(b, c), mult(a, b))))))))) <=> ((~![X0: $i, X1: $i, X2: $i] : ((~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X2, X1)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X1, X2)))))) | (~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X1, X2)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X2, X1)))))))) | (~((~(mult(mult(a, mult(a, b)), mult(b, c)) = mult(a, mult(mult(b, c), mult(a, b))))) | (~(mult(mult(a, mult(b, c)), mult(a, b)) = mult(a, mult(mult(a, b), mult(b, c))))))) | (~((~(mult(mult(a, mult(a, b)), mult(b, c)) = mult(a, mult(mult(a, b), mult(b, c))))) | (~(mult(mult(a, mult(b, c)), mult(a, b)) = mult(a, mult(mult(b, c), mult(a, b))))))))),
% 4.86/5.04 inference(rewrite,[status(thm)],[])).
% 4.86/5.04 tff(6547,plain,
% 4.86/5.04 ((~![X0: $i, X1: $i, X2: $i] : ((~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X2, X1)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X1, X2)))))) | (~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X1, X2)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X2, X1)))))))) | ((~((~(mult(mult(a, mult(a, b)), mult(b, c)) = mult(a, mult(mult(b, c), mult(a, b))))) | (~(mult(mult(a, mult(b, c)), mult(a, b)) = mult(a, mult(mult(a, b), mult(b, c))))))) | (~((~(mult(mult(a, mult(a, b)), mult(b, c)) = mult(a, mult(mult(a, b), mult(b, c))))) | (~(mult(mult(a, mult(b, c)), mult(a, b)) = mult(a, mult(mult(b, c), mult(a, b))))))))),
% 4.86/5.04 inference(quant_inst,[status(thm)],[])).
% 4.86/5.04 tff(6548,plain,
% 4.86/5.04 ((~![X0: $i, X1: $i, X2: $i] : ((~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X2, X1)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X1, X2)))))) | (~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X1, X2)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X2, X1)))))))) | (~((~(mult(mult(a, mult(a, b)), mult(b, c)) = mult(a, mult(mult(b, c), mult(a, b))))) | (~(mult(mult(a, mult(b, c)), mult(a, b)) = mult(a, mult(mult(a, b), mult(b, c))))))) | (~((~(mult(mult(a, mult(a, b)), mult(b, c)) = mult(a, mult(mult(a, b), mult(b, c))))) | (~(mult(mult(a, mult(b, c)), mult(a, b)) = mult(a, mult(mult(b, c), mult(a, b)))))))),
% 4.86/5.04 inference(modus_ponens,[status(thm)],[6547, 6546])).
% 4.86/5.04 tff(6549,plain,
% 4.86/5.04 ((~((~(mult(mult(a, mult(a, b)), mult(b, c)) = mult(a, mult(mult(b, c), mult(a, b))))) | (~(mult(mult(a, mult(b, c)), mult(a, b)) = mult(a, mult(mult(a, b), mult(b, c))))))) | (~((~(mult(mult(a, mult(a, b)), mult(b, c)) = mult(a, mult(mult(a, b), mult(b, c))))) | (~(mult(mult(a, mult(b, c)), mult(a, b)) = mult(a, mult(mult(b, c), mult(a, b)))))))),
% 4.86/5.04 inference(unit_resolution,[status(thm)],[6548, 30])).
% 4.86/5.04 tff(6550,plain,
% 4.86/5.04 (~((~(mult(mult(a, mult(a, b)), mult(b, c)) = mult(a, mult(mult(b, c), mult(a, b))))) | (~(mult(mult(a, mult(b, c)), mult(a, b)) = mult(a, mult(mult(a, b), mult(b, c))))))),
% 4.86/5.04 inference(unit_resolution,[status(thm)],[6549, 6545])).
% 4.86/5.04 tff(6551,plain,
% 4.86/5.04 (((~(mult(mult(a, mult(a, b)), mult(b, c)) = mult(a, mult(mult(b, c), mult(a, b))))) | (~(mult(mult(a, mult(b, c)), mult(a, b)) = mult(a, mult(mult(a, b), mult(b, c)))))) | (mult(mult(a, mult(b, c)), mult(a, b)) = mult(a, mult(mult(a, b), mult(b, c))))),
% 4.86/5.04 inference(tautology,[status(thm)],[])).
% 4.86/5.04 tff(6552,plain,
% 4.86/5.04 (mult(mult(a, mult(b, c)), mult(a, b)) = mult(a, mult(mult(a, b), mult(b, c)))),
% 4.86/5.04 inference(unit_resolution,[status(thm)],[6551, 6550])).
% 4.86/5.04 tff(6553,plain,
% 4.86/5.04 (mult(mult(a, mult(b, c)), mult(a, b)) = mult(a, mult(mult(b, c), mult(a, b)))),
% 4.86/5.04 inference(transitivity,[status(thm)],[6552, 6542, 6533])).
% 4.86/5.04 tff(6554,plain,
% 4.86/5.04 ($false),
% 4.86/5.04 inference(unit_resolution,[status(thm)],[6543, 6553])).
% 4.86/5.04 tff(6555,plain,((~(mult(mult(mult(a, a), mult(b, c)), mult(a, b)) = mult(mult(a, a), mult(mult(a, b), mult(b, c))))) | (mult(mult(a, mult(b, c)), mult(a, b)) = mult(a, mult(mult(b, c), mult(a, b)))) | (~(mult(mult(mult(a, mult(a, a)), b), mult(b, c)) = mult(mult(a, mult(a, a)), mult(mult(b, c), b)))) | (~(mult(mult(a, mult(mult(a, a), b)), c) = mult(a, mult(c, mult(mult(a, a), b))))) | (~(mult(mult(mult(a, mult(a, a)), b), c) = mult(mult(a, mult(a, a)), mult(c, b)))) | (~(mult(mult(mult(a, a), a), mult(c, b)) = mult(mult(a, a), mult(a, mult(c, b))))) | (~(mult(mult(a, a), mult(a, mult(c, b))) = mult(a, mult(a, mult(a, mult(c, b)))))) | (~(mult(mult(a, c), mult(a, b)) = mult(a, mult(mult(a, b), c)))) | (~(mult(mult(a, b), c) = mult(a, mult(c, b)))) | (~(mult(mult(c, mult(a, b)), a) = mult(c, mult(a, mult(a, b))))) | (~(mult(mult(mult(a, c), b), a) = mult(mult(a, c), mult(a, b)))) | (~(mult(mult(a, a), mult(b, c)) = mult(a, mult(a, mult(b, c))))) | (~(mult(mult(mult(a, a), b), c) = mult(mult(a, a), mult(b, c)))) | (~(mult(mult(a, mult(a, b)), c) = mult(a, mult(c, mult(a, b))))) | (~(mult(mult(a, c), b) = mult(a, mult(b, c)))) | (~(mult(mult(a, a), b) = mult(a, mult(a, b)))) | (~(mult(mult(mult(a, a), mult(a, b)), c) = mult(mult(a, a), mult(mult(a, b), c)))) | (~(mult(mult(a, mult(b, c)), a) = mult(a, mult(mult(b, c), a)))) | (~(mult(mult(a, mult(c, b)), a) = mult(a, mult(mult(c, b), a)))) | (~(mult(mult(c, b), a) = mult(c, mult(a, b)))) | (~(mult(mult(mult(mult(a, a), b), c), a) = mult(mult(mult(a, a), b), mult(a, c)))) | (~(mult(mult(b, c), a) = mult(b, mult(a, c)))) | (~(mult(mult(mult(a, b), mult(a, c)), a) = mult(mult(a, b), mult(a, mult(a, c))))) | (~(mult(mult(mult(a, b), c), a) = mult(mult(a, b), mult(a, c)))) | (~(mult(mult(b, mult(a, c)), a) = mult(b, mult(a, mult(a, c))))) | (~(mult(mult(mult(mult(b, c), a), mult(a, b)), a) = mult(mult(mult(b, c), a), mult(mult(a, b), a))))), inference(lemma,lemma(discharge,[]))).
% 4.86/5.04 tff(6556,plain,
% 4.86/5.04 (~(mult(mult(mult(a, a), mult(b, c)), mult(a, b)) = mult(mult(a, a), mult(mult(a, b), mult(b, c))))),
% 4.86/5.04 inference(unit_resolution,[status(thm)],[6555, 6520, 6371, 6055, 5915, 5800, 5509, 593, 91, 6056, 594, 6341, 2629, 269, 97, 448, 6320, 6355, 707, 1110, 6321, 3449, 6309, 168, 6384, 6409])).
% 4.86/5.04 tff(6557,plain,
% 4.86/5.04 (~(mult(mult(mult(a, a), mult(a, b)), mult(b, c)) = mult(mult(a, a), mult(mult(a, b), mult(b, c))))),
% 4.86/5.04 inference(modus_ponens,[status(thm)],[6556, 6423])).
% 4.86/5.04 tff(6558,plain,
% 4.86/5.04 (((~(mult(mult(mult(a, a), mult(a, b)), mult(b, c)) = mult(mult(a, a), mult(mult(b, c), mult(a, b))))) | (~(mult(mult(mult(a, a), mult(b, c)), mult(a, b)) = mult(mult(a, a), mult(mult(a, b), mult(b, c)))))) | (mult(mult(mult(a, a), mult(b, c)), mult(a, b)) = mult(mult(a, a), mult(mult(a, b), mult(b, c))))),
% 4.86/5.04 inference(tautology,[status(thm)],[])).
% 4.86/5.04 tff(6559,plain,
% 4.86/5.04 ((~(mult(mult(mult(a, a), mult(a, b)), mult(b, c)) = mult(mult(a, a), mult(mult(b, c), mult(a, b))))) | (~(mult(mult(mult(a, a), mult(b, c)), mult(a, b)) = mult(mult(a, a), mult(mult(a, b), mult(b, c)))))),
% 4.86/5.04 inference(unit_resolution,[status(thm)],[6558, 6556])).
% 4.86/5.04 tff(6560,plain,
% 4.86/5.04 (~((~(mult(mult(mult(a, a), mult(a, b)), mult(b, c)) = mult(mult(a, a), mult(mult(a, b), mult(b, c))))) | (~(mult(mult(mult(a, a), mult(b, c)), mult(a, b)) = mult(mult(a, a), mult(mult(b, c), mult(a, b))))))),
% 4.86/5.04 inference(unit_resolution,[status(thm)],[6473, 6559])).
% 4.86/5.04 tff(6561,plain,
% 4.86/5.04 (((~(mult(mult(mult(a, a), mult(a, b)), mult(b, c)) = mult(mult(a, a), mult(mult(a, b), mult(b, c))))) | (~(mult(mult(mult(a, a), mult(b, c)), mult(a, b)) = mult(mult(a, a), mult(mult(b, c), mult(a, b)))))) | (mult(mult(mult(a, a), mult(a, b)), mult(b, c)) = mult(mult(a, a), mult(mult(a, b), mult(b, c))))),
% 4.86/5.04 inference(tautology,[status(thm)],[])).
% 4.86/5.04 tff(6562,plain,
% 4.86/5.04 (mult(mult(mult(a, a), mult(a, b)), mult(b, c)) = mult(mult(a, a), mult(mult(a, b), mult(b, c)))),
% 4.86/5.04 inference(unit_resolution,[status(thm)],[6561, 6560])).
% 4.86/5.04 tff(6563,plain,
% 4.86/5.04 ($false),
% 4.86/5.04 inference(unit_resolution,[status(thm)],[6562, 6557])).
% 4.86/5.04 tff(6564,plain,((mult(mult(mult(mult(mult(a, b), c), a), b), a) = mult(mult(mult(mult(a, b), c), a), mult(a, b))) | (~(mult(mult(mult(a, mult(a, a)), b), mult(b, c)) = mult(mult(a, mult(a, a)), mult(mult(b, c), b)))) | (~(mult(mult(mult(a, mult(a, a)), b), c) = mult(mult(a, mult(a, a)), mult(c, b)))) | (~(mult(mult(mult(a, a), a), mult(c, b)) = mult(mult(a, a), mult(a, mult(c, b))))) | (~(mult(mult(a, a), mult(a, mult(c, b))) = mult(a, mult(a, mult(a, mult(c, b)))))) | (~(mult(mult(a, c), mult(a, b)) = mult(a, mult(mult(a, b), c)))) | (~(mult(mult(mult(a, c), b), a) = mult(mult(a, c), mult(a, b)))) | (~(mult(mult(mult(a, b), mult(a, c)), a) = mult(mult(a, b), mult(a, mult(a, c))))) | (~(mult(mult(mult(a, b), c), a) = mult(mult(a, b), mult(a, c)))) | (~(mult(mult(a, mult(c, b)), a) = mult(a, mult(mult(c, b), a)))) | (~(mult(mult(c, b), a) = mult(c, mult(a, b)))) | (~(mult(mult(b, mult(a, c)), a) = mult(b, mult(a, mult(a, c))))) | (~(mult(mult(b, c), a) = mult(b, mult(a, c)))) | (~(mult(mult(a, mult(a, b)), c) = mult(a, mult(c, mult(a, b))))) | (~(mult(mult(mult(a, a), b), c) = mult(mult(a, a), mult(b, c)))) | (~(mult(mult(a, a), b) = mult(a, mult(a, b)))) | (~(mult(mult(a, mult(mult(a, a), b)), c) = mult(a, mult(c, mult(mult(a, a), b))))) | (~(mult(mult(c, mult(a, b)), a) = mult(c, mult(a, mult(a, b))))) | (~(mult(mult(mult(a, a), mult(a, b)), c) = mult(mult(a, a), mult(mult(a, b), c)))) | (~(mult(mult(mult(mult(a, a), b), c), a) = mult(mult(mult(a, a), b), mult(a, c)))) | (mult(mult(a, c), b) = mult(a, mult(c, b)))), inference(lemma,lemma(discharge,[]))).
% 4.86/5.05 tff(6565,plain,
% 4.86/5.05 ((mult(mult(mult(mult(mult(a, b), c), a), b), a) = mult(mult(mult(mult(a, b), c), a), mult(a, b))) | (~(mult(mult(mult(a, mult(a, a)), b), mult(b, c)) = mult(mult(a, mult(a, a)), mult(mult(b, c), b)))) | (~(mult(mult(mult(a, mult(a, a)), b), c) = mult(mult(a, mult(a, a)), mult(c, b)))) | (~(mult(mult(mult(a, a), a), mult(c, b)) = mult(mult(a, a), mult(a, mult(c, b))))) | (~(mult(mult(a, a), mult(a, mult(c, b))) = mult(a, mult(a, mult(a, mult(c, b)))))) | (~(mult(mult(a, c), mult(a, b)) = mult(a, mult(mult(a, b), c)))) | (~(mult(mult(mult(a, c), b), a) = mult(mult(a, c), mult(a, b)))) | (~(mult(mult(mult(a, b), mult(a, c)), a) = mult(mult(a, b), mult(a, mult(a, c))))) | (~(mult(mult(mult(a, b), c), a) = mult(mult(a, b), mult(a, c)))) | (~(mult(mult(a, mult(c, b)), a) = mult(a, mult(mult(c, b), a)))) | (~(mult(mult(c, b), a) = mult(c, mult(a, b)))) | (~(mult(mult(b, mult(a, c)), a) = mult(b, mult(a, mult(a, c))))) | (~(mult(mult(a, mult(a, b)), c) = mult(a, mult(c, mult(a, b))))) | (~(mult(mult(mult(a, a), b), c) = mult(mult(a, a), mult(b, c)))) | (~(mult(mult(a, mult(mult(a, a), b)), c) = mult(a, mult(c, mult(mult(a, a), b))))) | (~(mult(mult(c, mult(a, b)), a) = mult(c, mult(a, mult(a, b))))) | (~(mult(mult(mult(a, a), mult(a, b)), c) = mult(mult(a, a), mult(mult(a, b), c)))) | (~(mult(mult(mult(mult(a, a), b), c), a) = mult(mult(mult(a, a), b), mult(a, c)))) | (mult(mult(a, c), b) = mult(a, mult(c, b)))),
% 4.86/5.05 inference(unit_resolution,[status(thm)],[6564, 3433, 4190])).
% 4.86/5.05 tff(6566,plain,
% 4.86/5.05 (~(mult(mult(mult(a, mult(a, a)), b), mult(b, c)) = mult(mult(a, mult(a, a)), mult(mult(b, c), b)))),
% 4.86/5.05 inference(unit_resolution,[status(thm)],[6565, 5915, 41, 6330, 6099, 593, 594, 6109, 168, 707, 1110, 5328, 269, 6326, 6055, 6056, 6320, 6321, 6309])).
% 4.86/5.05 tff(6567,plain,
% 4.86/5.05 ((~(mult(mult(a, mult(a, mult(c, b))), a) = mult(a, mult(a, mult(a, mult(c, b)))))) <=> (~(mult(mult(a, mult(mult(b, c), a)), a) = mult(a, mult(a, mult(mult(b, c), a)))))),
% 4.86/5.05 inference(monotonicity,[status(thm)],[6214])).
% 4.86/5.05 tff(6568,plain,
% 4.86/5.05 (~(mult(mult(a, mult(mult(b, c), a)), a) = mult(a, mult(a, mult(mult(b, c), a))))),
% 4.86/5.05 inference(modus_ponens,[status(thm)],[6096, 6567])).
% 4.86/5.05 tff(6569,plain,
% 4.86/5.05 (~(mult(mult(mult(a, mult(a, a)), mult(b, c)), b) = mult(mult(a, mult(a, a)), mult(mult(b, c), b)))),
% 4.86/5.05 inference(unit_resolution,[status(thm)],[5952, 5915, 6038, 6099, 593, 91, 594, 97, 707, 6326, 269, 1110, 6066, 6568])).
% 4.86/5.05 tff(6570,assumption,(~(mult(mult(mult(a, mult(a, a)), mult(b, c)), b) = mult(mult(a, mult(a, a)), mult(mult(b, c), b)))), introduced(assumption)).
% 4.86/5.05 tff(6571,plain,
% 4.86/5.05 (((~(mult(mult(mult(a, mult(a, a)), mult(b, c)), b) = mult(mult(a, mult(a, a)), mult(mult(b, c), b)))) | (~(mult(mult(mult(a, mult(a, a)), b), mult(b, c)) = mult(mult(a, mult(a, a)), mult(b, mult(b, c)))))) | (mult(mult(mult(a, mult(a, a)), mult(b, c)), b) = mult(mult(a, mult(a, a)), mult(mult(b, c), b)))),
% 4.86/5.05 inference(tautology,[status(thm)],[])).
% 4.86/5.05 tff(6572,plain,
% 4.86/5.05 ((~(mult(mult(mult(a, mult(a, a)), mult(b, c)), b) = mult(mult(a, mult(a, a)), mult(mult(b, c), b)))) | (~(mult(mult(mult(a, mult(a, a)), b), mult(b, c)) = mult(mult(a, mult(a, a)), mult(b, mult(b, c)))))),
% 4.86/5.05 inference(unit_resolution,[status(thm)],[6571, 6570])).
% 4.86/5.05 tff(6573,assumption,((~(mult(mult(mult(a, mult(a, a)), mult(b, c)), b) = mult(mult(a, mult(a, a)), mult(b, mult(b, c))))) | (~(mult(mult(mult(a, mult(a, a)), b), mult(b, c)) = mult(mult(a, mult(a, a)), mult(mult(b, c), b))))), introduced(assumption)).
% 4.86/5.05 tff(6574,plain,
% 4.86/5.05 (((~![X0: $i, X1: $i, X2: $i] : ((~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X2, X1)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X1, X2)))))) | (~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X1, X2)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X2, X1)))))))) | ((~((~(mult(mult(mult(a, mult(a, a)), mult(b, c)), b) = mult(mult(a, mult(a, a)), mult(b, mult(b, c))))) | (~(mult(mult(mult(a, mult(a, a)), b), mult(b, c)) = mult(mult(a, mult(a, a)), mult(mult(b, c), b)))))) | (~((~(mult(mult(mult(a, mult(a, a)), mult(b, c)), b) = mult(mult(a, mult(a, a)), mult(mult(b, c), b)))) | (~(mult(mult(mult(a, mult(a, a)), b), mult(b, c)) = mult(mult(a, mult(a, a)), mult(b, mult(b, c))))))))) <=> ((~![X0: $i, X1: $i, X2: $i] : ((~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X2, X1)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X1, X2)))))) | (~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X1, X2)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X2, X1)))))))) | (~((~(mult(mult(mult(a, mult(a, a)), mult(b, c)), b) = mult(mult(a, mult(a, a)), mult(b, mult(b, c))))) | (~(mult(mult(mult(a, mult(a, a)), b), mult(b, c)) = mult(mult(a, mult(a, a)), mult(mult(b, c), b)))))) | (~((~(mult(mult(mult(a, mult(a, a)), mult(b, c)), b) = mult(mult(a, mult(a, a)), mult(mult(b, c), b)))) | (~(mult(mult(mult(a, mult(a, a)), b), mult(b, c)) = mult(mult(a, mult(a, a)), mult(b, mult(b, c))))))))),
% 4.86/5.05 inference(rewrite,[status(thm)],[])).
% 4.86/5.05 tff(6575,plain,
% 4.86/5.05 ((~![X0: $i, X1: $i, X2: $i] : ((~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X2, X1)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X1, X2)))))) | (~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X1, X2)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X2, X1)))))))) | ((~((~(mult(mult(mult(a, mult(a, a)), mult(b, c)), b) = mult(mult(a, mult(a, a)), mult(b, mult(b, c))))) | (~(mult(mult(mult(a, mult(a, a)), b), mult(b, c)) = mult(mult(a, mult(a, a)), mult(mult(b, c), b)))))) | (~((~(mult(mult(mult(a, mult(a, a)), mult(b, c)), b) = mult(mult(a, mult(a, a)), mult(mult(b, c), b)))) | (~(mult(mult(mult(a, mult(a, a)), b), mult(b, c)) = mult(mult(a, mult(a, a)), mult(b, mult(b, c))))))))),
% 4.86/5.05 inference(quant_inst,[status(thm)],[])).
% 4.86/5.05 tff(6576,plain,
% 4.86/5.05 ((~![X0: $i, X1: $i, X2: $i] : ((~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X2, X1)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X1, X2)))))) | (~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X1, X2)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X2, X1)))))))) | (~((~(mult(mult(mult(a, mult(a, a)), mult(b, c)), b) = mult(mult(a, mult(a, a)), mult(b, mult(b, c))))) | (~(mult(mult(mult(a, mult(a, a)), b), mult(b, c)) = mult(mult(a, mult(a, a)), mult(mult(b, c), b)))))) | (~((~(mult(mult(mult(a, mult(a, a)), mult(b, c)), b) = mult(mult(a, mult(a, a)), mult(mult(b, c), b)))) | (~(mult(mult(mult(a, mult(a, a)), b), mult(b, c)) = mult(mult(a, mult(a, a)), mult(b, mult(b, c)))))))),
% 4.86/5.05 inference(modus_ponens,[status(thm)],[6575, 6574])).
% 4.86/5.05 tff(6577,plain,
% 4.86/5.05 ($false),
% 4.86/5.05 inference(unit_resolution,[status(thm)],[6576, 30, 6573, 6572])).
% 4.86/5.05 tff(6578,plain,((~((~(mult(mult(mult(a, mult(a, a)), mult(b, c)), b) = mult(mult(a, mult(a, a)), mult(b, mult(b, c))))) | (~(mult(mult(mult(a, mult(a, a)), b), mult(b, c)) = mult(mult(a, mult(a, a)), mult(mult(b, c), b)))))) | (mult(mult(mult(a, mult(a, a)), mult(b, c)), b) = mult(mult(a, mult(a, a)), mult(mult(b, c), b)))), inference(lemma,lemma(discharge,[]))).
% 4.86/5.05 tff(6579,plain,
% 4.86/5.05 (~((~(mult(mult(mult(a, mult(a, a)), mult(b, c)), b) = mult(mult(a, mult(a, a)), mult(b, mult(b, c))))) | (~(mult(mult(mult(a, mult(a, a)), b), mult(b, c)) = mult(mult(a, mult(a, a)), mult(mult(b, c), b)))))),
% 4.86/5.05 inference(unit_resolution,[status(thm)],[6578, 6569])).
% 4.86/5.05 tff(6580,plain,
% 4.86/5.05 (((~(mult(mult(mult(a, mult(a, a)), mult(b, c)), b) = mult(mult(a, mult(a, a)), mult(b, mult(b, c))))) | (~(mult(mult(mult(a, mult(a, a)), b), mult(b, c)) = mult(mult(a, mult(a, a)), mult(mult(b, c), b))))) | (mult(mult(mult(a, mult(a, a)), b), mult(b, c)) = mult(mult(a, mult(a, a)), mult(mult(b, c), b)))),
% 4.86/5.05 inference(tautology,[status(thm)],[])).
% 4.86/5.05 tff(6581,plain,
% 4.86/5.05 ($false),
% 4.86/5.05 inference(unit_resolution,[status(thm)],[6580, 6579, 6566])).
% 4.86/5.05 tff(6582,plain,((~(mult(mult(mult(a, mult(a, a)), b), c) = mult(mult(a, mult(a, a)), mult(c, b)))) | (mult(mult(a, c), b) = mult(a, mult(c, b))) | (~(mult(mult(a, c), mult(a, b)) = mult(a, mult(mult(a, b), c)))) | (~(mult(mult(mult(a, c), b), a) = mult(mult(a, c), mult(a, b)))) | (mult(mult(mult(mult(mult(a, b), c), a), b), a) = mult(mult(mult(mult(a, b), c), a), mult(a, b))) | (~(mult(mult(mult(a, b), c), a) = mult(mult(a, b), mult(a, c)))) | (~(mult(mult(a, mult(c, b)), a) = mult(a, mult(mult(c, b), a)))) | (~(mult(mult(c, b), a) = mult(c, mult(a, b)))) | (~(mult(mult(a, mult(a, b)), c) = mult(a, mult(c, mult(a, b))))) | (~(mult(mult(a, mult(mult(a, a), b)), c) = mult(a, mult(c, mult(mult(a, a), b))))) | (~(mult(mult(c, mult(a, b)), a) = mult(c, mult(a, mult(a, b))))) | (~(mult(mult(mult(a, a), mult(a, b)), c) = mult(mult(a, a), mult(mult(a, b), c)))) | (~(mult(mult(mult(mult(a, a), b), c), a) = mult(mult(mult(a, a), b), mult(a, c)))) | (~(mult(mult(mult(a, b), mult(a, c)), a) = mult(mult(a, b), mult(a, mult(a, c)))))), inference(lemma,lemma(discharge,[]))).
% 4.86/5.05 tff(6583,plain,
% 4.86/5.05 (~(mult(mult(mult(a, mult(a, a)), b), c) = mult(mult(a, mult(a, a)), mult(c, b)))),
% 4.86/5.05 inference(unit_resolution,[status(thm)],[6582, 6109, 593, 594, 41, 168, 707, 1110, 269, 6055, 6056, 6320, 6319, 6309])).
% 4.86/5.05 tff(6584,plain,
% 4.86/5.05 ((~(mult(mult(mult(a, mult(a, a)), b), c) = mult(mult(a, mult(a, a)), mult(c, b)))) | (~(mult(mult(mult(a, mult(a, a)), c), b) = mult(mult(a, mult(a, a)), mult(b, c))))),
% 4.86/5.05 inference(unit_resolution,[status(thm)],[5816, 6583])).
% 4.86/5.05 tff(6585,plain,
% 4.86/5.05 (~((~(mult(mult(mult(a, mult(a, a)), c), b) = mult(mult(a, mult(a, a)), mult(c, b)))) | (~(mult(mult(mult(a, mult(a, a)), b), c) = mult(mult(a, mult(a, a)), mult(b, c)))))),
% 4.86/5.05 inference(unit_resolution,[status(thm)],[5814, 6584])).
% 4.86/5.05 tff(6586,plain,
% 4.86/5.05 (((~(mult(mult(mult(a, mult(a, a)), c), b) = mult(mult(a, mult(a, a)), mult(c, b)))) | (~(mult(mult(mult(a, mult(a, a)), b), c) = mult(mult(a, mult(a, a)), mult(b, c))))) | (mult(mult(mult(a, mult(a, a)), b), c) = mult(mult(a, mult(a, a)), mult(b, c)))),
% 4.86/5.05 inference(tautology,[status(thm)],[])).
% 4.86/5.05 tff(6587,plain,
% 4.86/5.05 (mult(mult(mult(a, mult(a, a)), b), c) = mult(mult(a, mult(a, a)), mult(b, c))),
% 4.86/5.05 inference(unit_resolution,[status(thm)],[6586, 6585])).
% 4.86/5.05 tff(6588,plain,
% 4.86/5.05 (mult(mult(a, mult(a, a)), mult(b, c)) = mult(mult(mult(a, mult(a, a)), b), c)),
% 4.86/5.05 inference(symmetry,[status(thm)],[6587])).
% 4.86/5.05 tff(6589,plain,
% 4.86/5.05 (mult(mult(mult(a, mult(a, a)), mult(b, c)), b) = mult(mult(mult(mult(a, mult(a, a)), b), c), b)),
% 4.86/5.05 inference(monotonicity,[status(thm)],[6588])).
% 4.86/5.05 tff(6590,plain,
% 4.86/5.05 (mult(mult(a, a), mult(c, mult(a, b))) = mult(mult(a, a), mult(mult(c, b), a))),
% 4.86/5.05 inference(monotonicity,[status(thm)],[1111])).
% 4.86/5.05 tff(6591,plain,
% 4.86/5.05 (mult(mult(a, a), mult(mult(c, b), a)) = mult(mult(a, a), mult(c, mult(a, b)))),
% 4.86/5.05 inference(symmetry,[status(thm)],[6590])).
% 4.86/5.05 tff(6592,plain,
% 4.86/5.05 (mult(a, mult(c, mult(a, b))) = mult(a, mult(mult(a, c), b))),
% 4.86/5.05 inference(transitivity,[status(thm)],[1414, 708, 609, 168, 6084])).
% 4.86/5.05 tff(6593,plain,
% 4.86/5.05 (ld(a, mult(a, mult(c, mult(a, b)))) = ld(a, mult(a, mult(mult(a, c), b)))),
% 4.86/5.05 inference(monotonicity,[status(thm)],[6592])).
% 4.86/5.05 tff(6594,plain,
% 4.86/5.05 (ld(a, mult(a, mult(mult(a, c), b))) = ld(a, mult(a, mult(c, mult(a, b))))),
% 4.86/5.05 inference(symmetry,[status(thm)],[6593])).
% 4.86/5.05 tff(6595,plain,
% 4.86/5.05 (mult(mult(a, c), b) = mult(mult(c, b), a)),
% 4.86/5.05 inference(transitivity,[status(thm)],[2213, 6594, 667, 1111])).
% 4.86/5.05 tff(6596,plain,
% 4.86/5.05 (mult(mult(a, a), mult(mult(a, c), b)) = mult(mult(a, a), mult(mult(c, b), a))),
% 4.86/5.05 inference(monotonicity,[status(thm)],[6595])).
% 4.86/5.05 tff(6597,plain,
% 4.86/5.05 (mult(mult(a, a), mult(a, mult(b, c))) = mult(mult(a, a), mult(c, mult(a, b)))),
% 4.86/5.05 inference(transitivity,[status(thm)],[5834, 6596, 6591])).
% 4.86/5.05 tff(6598,plain,
% 4.86/5.05 (mult(c, mult(a, b)) = mult(mult(a, c), b)),
% 4.86/5.05 inference(transitivity,[status(thm)],[668, 6593, 2212])).
% 4.86/5.05 tff(6599,plain,
% 4.86/5.05 (mult(mult(c, mult(a, b)), a) = mult(mult(mult(a, c), b), a)),
% 4.86/5.05 inference(monotonicity,[status(thm)],[6598])).
% 4.86/5.05 tff(6600,plain,
% 4.86/5.05 (mult(mult(c, mult(a, b)), a) = mult(mult(a, c), mult(a, b))),
% 4.86/5.05 inference(transitivity,[status(thm)],[6599, 594])).
% 4.86/5.05 tff(6601,plain,
% 4.86/5.05 (mult(a, mult(mult(c, mult(a, b)), a)) = mult(a, mult(mult(a, c), mult(a, b)))),
% 4.86/5.05 inference(monotonicity,[status(thm)],[6600])).
% 4.86/5.05 tff(6602,plain,
% 4.86/5.05 (mult(a, mult(mult(a, c), mult(a, b))) = mult(a, mult(mult(c, mult(a, b)), a))),
% 4.86/5.05 inference(symmetry,[status(thm)],[6601])).
% 4.86/5.05 tff(6603,plain,
% 4.86/5.05 (mult(mult(mult(a, a), mult(b, c)), a) = mult(a, mult(mult(c, mult(a, b)), a))),
% 4.86/5.05 inference(transitivity,[status(thm)],[5500, 6089, 6602])).
% 4.86/5.05 tff(6604,plain,
% 4.86/5.05 ((mult(mult(mult(a, a), mult(b, c)), a) = mult(mult(a, a), mult(a, mult(b, c)))) <=> (mult(a, mult(mult(c, mult(a, b)), a)) = mult(mult(a, a), mult(c, mult(a, b))))),
% 4.86/5.05 inference(monotonicity,[status(thm)],[6603, 6597])).
% 4.86/5.05 tff(6605,plain,
% 4.86/5.05 ((mult(mult(mult(a, a), mult(b, c)), a) = mult(mult(a, a), mult(a, mult(b, c)))) <=> (mult(mult(a, a), mult(c, mult(a, b))) = mult(a, mult(mult(c, mult(a, b)), a)))),
% 4.86/5.05 inference(transitivity,[status(thm)],[6604, 5826])).
% 4.86/5.05 tff(6606,plain,
% 4.86/5.05 ((mult(mult(a, a), mult(c, mult(a, b))) = mult(a, mult(mult(c, mult(a, b)), a))) <=> (mult(mult(mult(a, a), mult(b, c)), a) = mult(mult(a, a), mult(a, mult(b, c))))),
% 4.86/5.05 inference(symmetry,[status(thm)],[6605])).
% 4.86/5.05 tff(6607,plain,
% 4.86/5.05 (mult(a, mult(mult(c, mult(a, b)), a)) = mult(mult(a, a), mult(a, mult(c, b)))),
% 4.86/5.05 inference(transitivity,[status(thm)],[6601, 6092, 6199])).
% 4.86/5.05 tff(6608,plain,
% 4.86/5.05 (mult(mult(mult(a, a), mult(c, b)), a) = mult(mult(a, a), mult(mult(c, b), a))),
% 4.86/5.05 inference(unit_resolution,[status(thm)],[5463, 6329])).
% 4.86/5.05 tff(6609,plain,
% 4.86/5.05 (mult(mult(a, a), mult(mult(c, b), a)) = mult(mult(mult(a, a), mult(c, b)), a)),
% 4.86/5.05 inference(symmetry,[status(thm)],[6608])).
% 4.86/5.05 tff(6610,plain,
% 4.86/5.05 (mult(mult(a, a), mult(c, mult(a, b))) = mult(a, mult(mult(a, mult(c, b)), a))),
% 4.86/5.05 inference(transitivity,[status(thm)],[6590, 6609, 4757])).
% 4.86/5.05 tff(6611,plain,
% 4.86/5.05 ((mult(mult(a, a), mult(c, mult(a, b))) = mult(a, mult(mult(c, mult(a, b)), a))) <=> (mult(a, mult(mult(a, mult(c, b)), a)) = mult(mult(a, a), mult(a, mult(c, b))))),
% 4.86/5.05 inference(monotonicity,[status(thm)],[6610, 6607])).
% 4.86/5.05 tff(6612,plain,
% 4.86/5.05 ((mult(mult(a, a), mult(c, mult(a, b))) = mult(a, mult(mult(c, mult(a, b)), a))) <=> (mult(mult(a, a), mult(a, mult(c, b))) = mult(a, mult(mult(a, mult(c, b)), a)))),
% 4.86/5.05 inference(transitivity,[status(thm)],[6611, 5438])).
% 4.86/5.05 tff(6613,plain,
% 4.86/5.05 ((mult(mult(a, a), mult(a, mult(c, b))) = mult(a, mult(mult(a, mult(c, b)), a))) <=> (mult(mult(a, a), mult(c, mult(a, b))) = mult(a, mult(mult(c, mult(a, b)), a)))),
% 4.86/5.05 inference(symmetry,[status(thm)],[6612])).
% 4.86/5.05 tff(6614,plain,
% 4.86/5.05 ((mult(mult(a, a), mult(a, mult(c, b))) = mult(a, mult(mult(a, mult(c, b)), a))) <=> (mult(mult(mult(a, a), mult(b, c)), a) = mult(mult(a, a), mult(a, mult(b, c))))),
% 4.86/5.05 inference(transitivity,[status(thm)],[6613, 6606])).
% 4.86/5.05 tff(6615,plain,
% 4.86/5.05 ((~(mult(mult(a, a), mult(a, mult(c, b))) = mult(a, mult(mult(a, mult(c, b)), a)))) <=> (~(mult(mult(mult(a, a), mult(b, c)), a) = mult(mult(a, a), mult(a, mult(b, c)))))),
% 4.86/5.05 inference(monotonicity,[status(thm)],[6614])).
% 4.86/5.05 tff(6616,plain,
% 4.86/5.05 (~(mult(mult(mult(a, a), mult(b, c)), a) = mult(mult(a, a), mult(a, mult(b, c))))),
% 4.86/5.05 inference(modus_ponens,[status(thm)],[6217, 6615])).
% 4.86/5.05 tff(6617,plain,
% 4.86/5.05 ((~(mult(mult(mult(a, a), mult(b, c)), a) = mult(mult(a, a), mult(a, mult(b, c))))) | (~(mult(mult(mult(a, a), a), mult(b, c)) = mult(mult(a, a), mult(mult(b, c), a))))),
% 4.86/5.05 inference(unit_resolution,[status(thm)],[5854, 6616])).
% 4.86/5.05 tff(6618,plain,
% 4.86/5.05 (~((~(mult(mult(mult(a, a), a), mult(b, c)) = mult(mult(a, a), mult(a, mult(b, c))))) | (~(mult(mult(mult(a, a), mult(b, c)), a) = mult(mult(a, a), mult(mult(b, c), a)))))),
% 4.86/5.05 inference(unit_resolution,[status(thm)],[5866, 6617])).
% 4.86/5.05 tff(6619,plain,
% 4.86/5.05 (mult(mult(mult(a, a), a), mult(b, c)) = mult(mult(a, a), mult(a, mult(b, c)))),
% 4.86/5.05 inference(unit_resolution,[status(thm)],[5868, 6618])).
% 4.86/5.05 tff(6620,plain,
% 4.86/5.05 (mult(mult(a, a), mult(a, mult(b, c))) = mult(mult(mult(a, a), a), mult(b, c))),
% 4.86/5.05 inference(symmetry,[status(thm)],[6619])).
% 4.86/5.05 tff(6621,plain,
% 4.86/5.05 (mult(mult(a, a), mult(mult(c, b), a)) = mult(mult(a, a), mult(mult(a, c), b))),
% 4.86/5.05 inference(symmetry,[status(thm)],[6596])).
% 4.86/5.05 tff(6622,plain,
% 4.86/5.05 (mult(a, mult(mult(a, mult(c, b)), a)) = mult(mult(a, mult(a, a)), mult(b, c))),
% 4.86/5.06 inference(transitivity,[status(thm)],[5873, 6608, 6621, 5871, 6620, 5825])).
% 4.86/5.06 tff(6623,plain,
% 4.86/5.06 (mult(mult(a, mult(mult(a, mult(c, b)), a)), b) = mult(mult(mult(a, mult(a, a)), mult(b, c)), b)),
% 4.86/5.06 inference(monotonicity,[status(thm)],[6622])).
% 4.86/5.06 tff(6624,plain,
% 4.86/5.06 (mult(mult(a, mult(mult(a, mult(c, b)), a)), b) = mult(mult(mult(a, a), mult(mult(b, c), a)), b)),
% 4.86/5.06 inference(transitivity,[status(thm)],[6623, 6589, 5821, 6308, 6307, 6286, 6280, 6279, 6278, 6102])).
% 4.86/5.06 tff(6625,plain,
% 4.86/5.06 (rd(mult(mult(a, mult(mult(a, mult(c, b)), a)), b), b) = rd(mult(mult(mult(a, a), mult(mult(b, c), a)), b), b)),
% 4.86/5.06 inference(monotonicity,[status(thm)],[6624])).
% 4.86/5.06 tff(6626,plain,
% 4.86/5.06 (rd(mult(mult(mult(a, a), mult(mult(b, c), a)), b), b) = rd(mult(mult(a, mult(mult(a, mult(c, b)), a)), b), b)),
% 4.86/5.06 inference(symmetry,[status(thm)],[6625])).
% 4.86/5.06 tff(6627,plain,
% 4.86/5.06 (mult(mult(a, a), mult(mult(b, c), a)) = rd(mult(mult(mult(a, a), mult(mult(b, c), a)), b), b)),
% 4.86/5.06 inference(symmetry,[status(thm)],[6065])).
% 4.86/5.06 tff(6628,plain,
% 4.86/5.06 (mult(mult(a, a), mult(a, mult(c, b))) = mult(a, mult(mult(a, mult(c, b)), a))),
% 4.86/5.06 inference(transitivity,[status(thm)],[6062, 6627, 6626, 5947])).
% 4.86/5.06 tff(6629,plain,
% 4.86/5.06 ($false),
% 4.86/5.06 inference(unit_resolution,[status(thm)],[6217, 6628])).
% 4.86/5.06 tff(6630,plain,((mult(mult(mult(mult(mult(a, b), c), a), b), a) = mult(mult(mult(mult(a, b), c), a), mult(a, b))) | (~(mult(mult(mult(a, a), b), mult(a, c)) = mult(mult(a, a), mult(b, mult(a, c))))) | (~(mult(mult(a, c), mult(a, b)) = mult(a, mult(mult(a, b), c)))) | (~(mult(mult(mult(a, c), b), a) = mult(mult(a, c), mult(a, b)))) | (~(mult(mult(mult(a, b), c), a) = mult(mult(a, b), mult(a, c)))) | (~(mult(mult(c, b), a) = mult(c, mult(a, b)))) | (~(mult(mult(a, mult(c, b)), a) = mult(a, mult(mult(c, b), a)))) | (mult(mult(a, c), b) = mult(a, mult(c, b))) | (~(mult(mult(a, mult(a, b)), c) = mult(a, mult(c, mult(a, b))))) | (~(mult(mult(a, mult(mult(a, a), b)), c) = mult(a, mult(c, mult(mult(a, a), b))))) | (~(mult(mult(c, mult(a, b)), a) = mult(c, mult(a, mult(a, b))))) | (~(mult(mult(mult(a, a), mult(a, b)), c) = mult(mult(a, a), mult(mult(a, b), c)))) | (~(mult(mult(mult(a, b), mult(a, c)), a) = mult(mult(a, b), mult(a, mult(a, c)))))), inference(lemma,lemma(discharge,[]))).
% 4.86/5.06 tff(6631,plain,
% 4.86/5.06 (~(mult(mult(mult(a, a), mult(a, b)), c) = mult(mult(a, a), mult(mult(a, b), c)))),
% 4.86/5.06 inference(unit_resolution,[status(thm)],[6630, 6275, 593, 594, 168, 1110, 707, 41, 269, 6056, 6055, 6109, 6249])).
% 4.86/5.06 tff(6632,plain,
% 4.86/5.06 (((~(mult(mult(mult(a, a), c), mult(a, b)) = mult(mult(a, a), mult(c, mult(a, b))))) | (~(mult(mult(mult(a, a), mult(a, b)), c) = mult(mult(a, a), mult(mult(a, b), c))))) | (mult(mult(mult(a, a), mult(a, b)), c) = mult(mult(a, a), mult(mult(a, b), c)))),
% 4.86/5.06 inference(tautology,[status(thm)],[])).
% 4.86/5.06 tff(6633,plain,
% 4.86/5.06 ((~(mult(mult(mult(a, a), c), mult(a, b)) = mult(mult(a, a), mult(c, mult(a, b))))) | (~(mult(mult(mult(a, a), mult(a, b)), c) = mult(mult(a, a), mult(mult(a, b), c))))),
% 4.86/5.06 inference(unit_resolution,[status(thm)],[6632, 6631])).
% 4.86/5.06 tff(6634,plain,
% 4.86/5.06 (((~![X0: $i, X1: $i, X2: $i] : ((~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X2, X1)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X1, X2)))))) | (~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X1, X2)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X2, X1)))))))) | ((~((~(mult(mult(mult(a, a), c), mult(a, b)) = mult(mult(a, a), mult(c, mult(a, b))))) | (~(mult(mult(mult(a, a), mult(a, b)), c) = mult(mult(a, a), mult(mult(a, b), c)))))) | (~((~(mult(mult(mult(a, a), mult(a, b)), c) = mult(mult(a, a), mult(c, mult(a, b))))) | (~(mult(mult(mult(a, a), c), mult(a, b)) = mult(mult(a, a), mult(mult(a, b), c)))))))) <=> ((~![X0: $i, X1: $i, X2: $i] : ((~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X2, X1)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X1, X2)))))) | (~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X1, X2)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X2, X1)))))))) | (~((~(mult(mult(mult(a, a), c), mult(a, b)) = mult(mult(a, a), mult(c, mult(a, b))))) | (~(mult(mult(mult(a, a), mult(a, b)), c) = mult(mult(a, a), mult(mult(a, b), c)))))) | (~((~(mult(mult(mult(a, a), mult(a, b)), c) = mult(mult(a, a), mult(c, mult(a, b))))) | (~(mult(mult(mult(a, a), c), mult(a, b)) = mult(mult(a, a), mult(mult(a, b), c)))))))),
% 4.86/5.06 inference(rewrite,[status(thm)],[])).
% 4.86/5.06 tff(6635,plain,
% 4.86/5.06 (((~((~(mult(mult(mult(a, a), mult(a, b)), c) = mult(mult(a, a), mult(c, mult(a, b))))) | (~(mult(mult(mult(a, a), c), mult(a, b)) = mult(mult(a, a), mult(mult(a, b), c)))))) | (~((~(mult(mult(mult(a, a), c), mult(a, b)) = mult(mult(a, a), mult(c, mult(a, b))))) | (~(mult(mult(mult(a, a), mult(a, b)), c) = mult(mult(a, a), mult(mult(a, b), c))))))) <=> ((~((~(mult(mult(mult(a, a), c), mult(a, b)) = mult(mult(a, a), mult(c, mult(a, b))))) | (~(mult(mult(mult(a, a), mult(a, b)), c) = mult(mult(a, a), mult(mult(a, b), c)))))) | (~((~(mult(mult(mult(a, a), mult(a, b)), c) = mult(mult(a, a), mult(c, mult(a, b))))) | (~(mult(mult(mult(a, a), c), mult(a, b)) = mult(mult(a, a), mult(mult(a, b), c)))))))),
% 4.86/5.06 inference(rewrite,[status(thm)],[])).
% 4.86/5.06 tff(6636,plain,
% 4.86/5.06 ((~((~(mult(mult(mult(a, a), mult(a, b)), c) = mult(mult(a, a), mult(mult(a, b), c)))) | (~(mult(mult(mult(a, a), c), mult(a, b)) = mult(mult(a, a), mult(c, mult(a, b))))))) <=> (~((~(mult(mult(mult(a, a), c), mult(a, b)) = mult(mult(a, a), mult(c, mult(a, b))))) | (~(mult(mult(mult(a, a), mult(a, b)), c) = mult(mult(a, a), mult(mult(a, b), c))))))),
% 4.86/5.06 inference(rewrite,[status(thm)],[])).
% 4.86/5.06 tff(6637,plain,
% 4.86/5.06 ((~((~(mult(mult(mult(a, a), mult(a, b)), c) = mult(mult(a, a), mult(c, mult(a, b))))) | (~(mult(mult(mult(a, a), c), mult(a, b)) = mult(mult(a, a), mult(mult(a, b), c)))))) <=> (~((~(mult(mult(mult(a, a), mult(a, b)), c) = mult(mult(a, a), mult(c, mult(a, b))))) | (~(mult(mult(mult(a, a), c), mult(a, b)) = mult(mult(a, a), mult(mult(a, b), c))))))),
% 4.86/5.06 inference(rewrite,[status(thm)],[])).
% 4.86/5.06 tff(6638,plain,
% 4.86/5.06 (((~((~(mult(mult(mult(a, a), mult(a, b)), c) = mult(mult(a, a), mult(c, mult(a, b))))) | (~(mult(mult(mult(a, a), c), mult(a, b)) = mult(mult(a, a), mult(mult(a, b), c)))))) | (~((~(mult(mult(mult(a, a), mult(a, b)), c) = mult(mult(a, a), mult(mult(a, b), c)))) | (~(mult(mult(mult(a, a), c), mult(a, b)) = mult(mult(a, a), mult(c, mult(a, b)))))))) <=> ((~((~(mult(mult(mult(a, a), mult(a, b)), c) = mult(mult(a, a), mult(c, mult(a, b))))) | (~(mult(mult(mult(a, a), c), mult(a, b)) = mult(mult(a, a), mult(mult(a, b), c)))))) | (~((~(mult(mult(mult(a, a), c), mult(a, b)) = mult(mult(a, a), mult(c, mult(a, b))))) | (~(mult(mult(mult(a, a), mult(a, b)), c) = mult(mult(a, a), mult(mult(a, b), c)))))))),
% 4.86/5.06 inference(monotonicity,[status(thm)],[6637, 6636])).
% 4.86/5.06 tff(6639,plain,
% 4.86/5.06 (((~((~(mult(mult(mult(a, a), mult(a, b)), c) = mult(mult(a, a), mult(c, mult(a, b))))) | (~(mult(mult(mult(a, a), c), mult(a, b)) = mult(mult(a, a), mult(mult(a, b), c)))))) | (~((~(mult(mult(mult(a, a), mult(a, b)), c) = mult(mult(a, a), mult(mult(a, b), c)))) | (~(mult(mult(mult(a, a), c), mult(a, b)) = mult(mult(a, a), mult(c, mult(a, b)))))))) <=> ((~((~(mult(mult(mult(a, a), c), mult(a, b)) = mult(mult(a, a), mult(c, mult(a, b))))) | (~(mult(mult(mult(a, a), mult(a, b)), c) = mult(mult(a, a), mult(mult(a, b), c)))))) | (~((~(mult(mult(mult(a, a), mult(a, b)), c) = mult(mult(a, a), mult(c, mult(a, b))))) | (~(mult(mult(mult(a, a), c), mult(a, b)) = mult(mult(a, a), mult(mult(a, b), c)))))))),
% 4.86/5.06 inference(transitivity,[status(thm)],[6638, 6635])).
% 4.86/5.06 tff(6640,plain,
% 4.86/5.06 (((~![X0: $i, X1: $i, X2: $i] : ((~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X2, X1)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X1, X2)))))) | (~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X1, X2)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X2, X1)))))))) | ((~((~(mult(mult(mult(a, a), mult(a, b)), c) = mult(mult(a, a), mult(c, mult(a, b))))) | (~(mult(mult(mult(a, a), c), mult(a, b)) = mult(mult(a, a), mult(mult(a, b), c)))))) | (~((~(mult(mult(mult(a, a), mult(a, b)), c) = mult(mult(a, a), mult(mult(a, b), c)))) | (~(mult(mult(mult(a, a), c), mult(a, b)) = mult(mult(a, a), mult(c, mult(a, b))))))))) <=> ((~![X0: $i, X1: $i, X2: $i] : ((~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X2, X1)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X1, X2)))))) | (~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X1, X2)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X2, X1)))))))) | ((~((~(mult(mult(mult(a, a), c), mult(a, b)) = mult(mult(a, a), mult(c, mult(a, b))))) | (~(mult(mult(mult(a, a), mult(a, b)), c) = mult(mult(a, a), mult(mult(a, b), c)))))) | (~((~(mult(mult(mult(a, a), mult(a, b)), c) = mult(mult(a, a), mult(c, mult(a, b))))) | (~(mult(mult(mult(a, a), c), mult(a, b)) = mult(mult(a, a), mult(mult(a, b), c))))))))),
% 4.86/5.06 inference(monotonicity,[status(thm)],[6639])).
% 4.86/5.06 tff(6641,plain,
% 4.86/5.06 (((~![X0: $i, X1: $i, X2: $i] : ((~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X2, X1)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X1, X2)))))) | (~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X1, X2)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X2, X1)))))))) | ((~((~(mult(mult(mult(a, a), mult(a, b)), c) = mult(mult(a, a), mult(c, mult(a, b))))) | (~(mult(mult(mult(a, a), c), mult(a, b)) = mult(mult(a, a), mult(mult(a, b), c)))))) | (~((~(mult(mult(mult(a, a), mult(a, b)), c) = mult(mult(a, a), mult(mult(a, b), c)))) | (~(mult(mult(mult(a, a), c), mult(a, b)) = mult(mult(a, a), mult(c, mult(a, b))))))))) <=> ((~![X0: $i, X1: $i, X2: $i] : ((~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X2, X1)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X1, X2)))))) | (~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X1, X2)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X2, X1)))))))) | (~((~(mult(mult(mult(a, a), c), mult(a, b)) = mult(mult(a, a), mult(c, mult(a, b))))) | (~(mult(mult(mult(a, a), mult(a, b)), c) = mult(mult(a, a), mult(mult(a, b), c)))))) | (~((~(mult(mult(mult(a, a), mult(a, b)), c) = mult(mult(a, a), mult(c, mult(a, b))))) | (~(mult(mult(mult(a, a), c), mult(a, b)) = mult(mult(a, a), mult(mult(a, b), c)))))))),
% 4.86/5.06 inference(transitivity,[status(thm)],[6640, 6634])).
% 4.86/5.06 tff(6642,plain,
% 4.86/5.06 ((~![X0: $i, X1: $i, X2: $i] : ((~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X2, X1)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X1, X2)))))) | (~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X1, X2)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X2, X1)))))))) | ((~((~(mult(mult(mult(a, a), mult(a, b)), c) = mult(mult(a, a), mult(c, mult(a, b))))) | (~(mult(mult(mult(a, a), c), mult(a, b)) = mult(mult(a, a), mult(mult(a, b), c)))))) | (~((~(mult(mult(mult(a, a), mult(a, b)), c) = mult(mult(a, a), mult(mult(a, b), c)))) | (~(mult(mult(mult(a, a), c), mult(a, b)) = mult(mult(a, a), mult(c, mult(a, b))))))))),
% 4.86/5.06 inference(quant_inst,[status(thm)],[])).
% 4.86/5.06 tff(6643,plain,
% 4.86/5.06 ((~![X0: $i, X1: $i, X2: $i] : ((~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X2, X1)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X1, X2)))))) | (~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X1, X2)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X2, X1)))))))) | (~((~(mult(mult(mult(a, a), c), mult(a, b)) = mult(mult(a, a), mult(c, mult(a, b))))) | (~(mult(mult(mult(a, a), mult(a, b)), c) = mult(mult(a, a), mult(mult(a, b), c)))))) | (~((~(mult(mult(mult(a, a), mult(a, b)), c) = mult(mult(a, a), mult(c, mult(a, b))))) | (~(mult(mult(mult(a, a), c), mult(a, b)) = mult(mult(a, a), mult(mult(a, b), c))))))),
% 4.86/5.06 inference(modus_ponens,[status(thm)],[6642, 6641])).
% 4.86/5.06 tff(6644,plain,
% 4.86/5.06 ((~((~(mult(mult(mult(a, a), c), mult(a, b)) = mult(mult(a, a), mult(c, mult(a, b))))) | (~(mult(mult(mult(a, a), mult(a, b)), c) = mult(mult(a, a), mult(mult(a, b), c)))))) | (~((~(mult(mult(mult(a, a), mult(a, b)), c) = mult(mult(a, a), mult(c, mult(a, b))))) | (~(mult(mult(mult(a, a), c), mult(a, b)) = mult(mult(a, a), mult(mult(a, b), c))))))),
% 4.86/5.06 inference(unit_resolution,[status(thm)],[6643, 30])).
% 4.86/5.06 tff(6645,plain,
% 4.86/5.06 (~((~(mult(mult(mult(a, a), mult(a, b)), c) = mult(mult(a, a), mult(c, mult(a, b))))) | (~(mult(mult(mult(a, a), c), mult(a, b)) = mult(mult(a, a), mult(mult(a, b), c)))))),
% 4.86/5.06 inference(unit_resolution,[status(thm)],[6644, 6633])).
% 4.86/5.06 tff(6646,plain,
% 4.86/5.06 (((~(mult(mult(mult(a, a), mult(a, b)), c) = mult(mult(a, a), mult(c, mult(a, b))))) | (~(mult(mult(mult(a, a), c), mult(a, b)) = mult(mult(a, a), mult(mult(a, b), c))))) | (mult(mult(mult(a, a), c), mult(a, b)) = mult(mult(a, a), mult(mult(a, b), c)))),
% 4.86/5.07 inference(tautology,[status(thm)],[])).
% 4.86/5.07 tff(6647,plain,
% 4.86/5.07 (mult(mult(mult(a, a), c), mult(a, b)) = mult(mult(a, a), mult(mult(a, b), c))),
% 4.86/5.07 inference(unit_resolution,[status(thm)],[6646, 6645])).
% 4.86/5.07 tff(6648,plain,
% 4.86/5.07 (mult(mult(a, a), mult(mult(a, b), c)) = mult(mult(mult(a, a), c), mult(a, b))),
% 4.86/5.07 inference(symmetry,[status(thm)],[6647])).
% 4.86/5.07 tff(6649,plain,
% 4.86/5.07 (mult(mult(a, a), mult(mult(a, b), c)) = mult(mult(a, a), mult(a, mult(c, b)))),
% 4.86/5.07 inference(monotonicity,[status(thm)],[91])).
% 4.86/5.07 tff(6650,plain,
% 4.86/5.07 (mult(mult(a, a), mult(a, mult(c, b))) = mult(mult(a, a), mult(mult(a, b), c))),
% 4.86/5.07 inference(symmetry,[status(thm)],[6649])).
% 4.86/5.07 tff(6651,plain,
% 4.86/5.07 (mult(mult(a, a), mult(a, mult(c, b))) = mult(a, mult(mult(a, mult(c, b)), a))),
% 4.86/5.07 inference(transitivity,[status(thm)],[6650, 6648, 6231, 6222, 6060])).
% 4.86/5.07 tff(6652,plain,
% 4.86/5.07 ($false),
% 4.86/5.07 inference(unit_resolution,[status(thm)],[6217, 6651])).
% 4.86/5.07 tff(6653,plain,((mult(mult(mult(mult(mult(a, b), c), a), b), a) = mult(mult(mult(mult(a, b), c), a), mult(a, b))) | (~(mult(mult(mult(a, a), c), b) = mult(mult(a, a), mult(c, b)))) | (~(mult(mult(a, c), mult(a, b)) = mult(a, mult(mult(a, b), c)))) | (~(mult(mult(mult(a, c), b), a) = mult(mult(a, c), mult(a, b)))) | (~(mult(mult(mult(a, b), c), a) = mult(mult(a, b), mult(a, c)))) | (~(mult(mult(c, b), a) = mult(c, mult(a, b)))) | (~(mult(mult(a, mult(c, b)), a) = mult(a, mult(mult(c, b), a)))) | (mult(mult(a, c), b) = mult(a, mult(c, b))) | (~(mult(mult(a, mult(a, b)), c) = mult(a, mult(c, mult(a, b))))) | (~(mult(mult(c, mult(a, b)), a) = mult(c, mult(a, mult(a, b))))) | (~(mult(mult(a, mult(mult(a, a), b)), c) = mult(a, mult(c, mult(mult(a, a), b))))) | (mult(mult(mult(mult(b, c), a), a), mult(a, b)) = mult(mult(mult(b, c), a), mult(mult(a, b), a)))), inference(lemma,lemma(discharge,[]))).
% 4.86/5.07 tff(6654,plain,
% 4.86/5.07 (mult(mult(mult(mult(mult(a, b), c), a), b), a) = mult(mult(mult(mult(a, b), c), a), mult(a, b))),
% 4.86/5.07 inference(unit_resolution,[status(thm)],[6653, 6057, 593, 594, 168, 1110, 707, 41, 269, 6056, 6055, 789])).
% 4.86/5.07 tff(6655,plain,
% 4.86/5.07 (mult(mult(mult(mult(b, c), a), a), mult(a, b)) = mult(mult(mult(b, c), a), mult(mult(a, b), a))),
% 4.86/5.07 inference(modus_ponens,[status(thm)],[6654, 6054])).
% 4.86/5.07 tff(6656,plain,
% 4.86/5.07 ($false),
% 4.86/5.07 inference(unit_resolution,[status(thm)],[6057, 6655])).
% 4.86/5.07 tff(6657,plain,((mult(mult(mult(mult(b, c), a), a), mult(a, b)) = mult(mult(mult(b, c), a), mult(mult(a, b), a))) | (~(mult(mult(a, c), mult(a, b)) = mult(a, mult(mult(a, b), c)))) | (~(mult(mult(mult(a, c), b), a) = mult(mult(a, c), mult(a, b)))) | (~(mult(mult(mult(a, b), c), a) = mult(mult(a, b), mult(a, c)))) | (~(mult(mult(c, b), a) = mult(c, mult(a, b)))) | (~(mult(mult(a, mult(c, b)), a) = mult(a, mult(mult(c, b), a)))) | (mult(mult(a, c), b) = mult(a, mult(c, b))) | (~(mult(mult(a, mult(a, b)), c) = mult(a, mult(c, mult(a, b))))) | (~(mult(mult(c, mult(a, b)), a) = mult(c, mult(a, mult(a, b))))) | (~(mult(mult(a, mult(mult(a, a), b)), c) = mult(a, mult(c, mult(mult(a, a), b))))) | (~(mult(mult(mult(a, a), c), b) = mult(mult(a, a), mult(c, b))))), inference(lemma,lemma(discharge,[]))).
% 4.86/5.07 tff(6658,plain,
% 4.86/5.07 (mult(mult(mult(mult(b, c), a), a), mult(a, b)) = mult(mult(mult(b, c), a), mult(mult(a, b), a))),
% 4.86/5.07 inference(unit_resolution,[status(thm)],[6657, 4654, 971, 5305, 5290, 4821, 41, 4709, 6004, 6033, 5355])).
% 4.86/5.07 tff(6659,plain,
% 4.86/5.07 (mult(mult(mult(b, c), a), mult(mult(a, b), a)) = mult(mult(mult(mult(mult(a, b), c), a), b), a)),
% 4.86/5.07 inference(transitivity,[status(thm)],[6049, 6453])).
% 4.86/5.07 tff(6660,plain,
% 4.86/5.07 (mult(mult(mult(mult(b, c), a), a), mult(a, b)) = mult(mult(mult(mult(a, b), c), a), mult(a, b))),
% 4.86/5.07 inference(monotonicity,[status(thm)],[6451])).
% 4.86/5.07 tff(6661,plain,
% 4.86/5.07 ((mult(mult(mult(mult(b, c), a), a), mult(a, b)) = mult(mult(mult(b, c), a), mult(mult(a, b), a))) <=> (mult(mult(mult(mult(a, b), c), a), mult(a, b)) = mult(mult(mult(mult(mult(a, b), c), a), b), a))),
% 4.90/5.07 inference(monotonicity,[status(thm)],[6660, 6659])).
% 4.90/5.07 tff(6662,plain,
% 4.90/5.07 ((mult(mult(mult(mult(b, c), a), a), mult(a, b)) = mult(mult(mult(b, c), a), mult(mult(a, b), a))) <=> (mult(mult(mult(mult(mult(a, b), c), a), b), a) = mult(mult(mult(mult(a, b), c), a), mult(a, b)))),
% 4.90/5.07 inference(transitivity,[status(thm)],[6661, 6034])).
% 4.90/5.07 tff(6663,plain,
% 4.90/5.07 ((mult(mult(mult(mult(mult(a, b), c), a), b), a) = mult(mult(mult(mult(a, b), c), a), mult(a, b))) <=> (mult(mult(mult(mult(b, c), a), a), mult(a, b)) = mult(mult(mult(b, c), a), mult(mult(a, b), a)))),
% 4.90/5.07 inference(symmetry,[status(thm)],[6662])).
% 4.90/5.07 tff(6664,plain,
% 4.90/5.07 ((~(mult(mult(mult(mult(mult(a, b), c), a), b), a) = mult(mult(mult(mult(a, b), c), a), mult(a, b)))) <=> (~(mult(mult(mult(mult(b, c), a), a), mult(a, b)) = mult(mult(mult(b, c), a), mult(mult(a, b), a))))),
% 4.90/5.07 inference(monotonicity,[status(thm)],[6663])).
% 4.90/5.07 tff(6665,plain,
% 4.90/5.07 (~(mult(mult(mult(mult(b, c), a), a), mult(a, b)) = mult(mult(mult(b, c), a), mult(mult(a, b), a)))),
% 4.90/5.07 inference(modus_ponens,[status(thm)],[6109, 6664])).
% 4.90/5.07 tff(6666,assumption,(mult(mult(mult(mult(b, c), a), a), mult(a, b)) = mult(mult(mult(b, c), a), mult(mult(a, b), a))), introduced(assumption)).
% 4.90/5.07 tff(6667,plain,
% 4.90/5.07 ($false),
% 4.90/5.07 inference(unit_resolution,[status(thm)],[6666, 6665])).
% 4.90/5.07 tff(6668,plain,((mult(mult(mult(mult(mult(a, b), c), a), b), a) = mult(mult(mult(mult(a, b), c), a), mult(a, b))) | (~(mult(mult(mult(mult(b, c), a), a), mult(a, b)) = mult(mult(mult(b, c), a), mult(mult(a, b), a)))) | (~(mult(mult(a, mult(b, c)), a) = mult(a, mult(mult(b, c), a)))) | (~(mult(mult(a, c), mult(a, b)) = mult(a, mult(mult(a, b), c)))) | (~(mult(mult(mult(a, c), b), a) = mult(mult(a, c), mult(a, b)))) | (~(mult(mult(a, c), b) = mult(a, mult(b, c)))) | (~(mult(mult(a, b), c) = mult(a, mult(c, b))))), inference(lemma,lemma(discharge,[]))).
% 4.90/5.07 tff(6669,plain,
% 4.90/5.07 (mult(mult(mult(mult(mult(a, b), c), a), b), a) = mult(mult(mult(mult(a, b), c), a), mult(a, b))),
% 4.90/5.07 inference(unit_resolution,[status(thm)],[6668, 6658, 5309, 4654, 971, 97, 91])).
% 4.90/5.07 tff(6670,plain,
% 4.90/5.07 ((~![B: $i, A: $i] : (rd(mult(A, B), B) = A)) | (rd(mult(mult(mult(a, c), mult(b, a)), mult(a, c)), mult(a, c)) = mult(mult(a, c), mult(b, a)))),
% 4.90/5.07 inference(quant_inst,[status(thm)],[])).
% 4.90/5.07 tff(6671,plain,
% 4.90/5.07 (rd(mult(mult(mult(a, c), mult(b, a)), mult(a, c)), mult(a, c)) = mult(mult(a, c), mult(b, a))),
% 4.90/5.07 inference(unit_resolution,[status(thm)],[6670, 72])).
% 4.90/5.07 tff(6672,plain,
% 4.90/5.07 ((~![B: $i, A: $i] : (rd(mult(A, B), B) = A)) | (rd(mult(mult(mult(mult(a, c), mult(b, a)), mult(a, c)), mult(a, b)), mult(a, b)) = mult(mult(mult(a, c), mult(b, a)), mult(a, c)))),
% 4.90/5.07 inference(quant_inst,[status(thm)],[])).
% 4.90/5.07 tff(6673,plain,
% 4.90/5.07 (rd(mult(mult(mult(mult(a, c), mult(b, a)), mult(a, c)), mult(a, b)), mult(a, b)) = mult(mult(mult(a, c), mult(b, a)), mult(a, c))),
% 4.90/5.07 inference(unit_resolution,[status(thm)],[6672, 72])).
% 4.90/5.07 tff(6674,assumption,(mult(mult(mult(mult(mult(a, c), mult(b, a)), mult(a, c)), b), a) = mult(mult(mult(mult(a, c), mult(b, a)), mult(a, c)), mult(a, b))), introduced(assumption)).
% 4.90/5.07 tff(6675,plain,
% 4.90/5.07 (mult(mult(a, mult(c, a)), b) = mult(mult(a, c), mult(b, a))),
% 4.90/5.07 inference(transitivity,[status(thm)],[3782, 1526])).
% 4.90/5.07 tff(6676,plain,
% 4.90/5.07 (mult(mult(mult(a, mult(c, a)), b), mult(a, c)) = mult(mult(mult(a, c), mult(b, a)), mult(a, c))),
% 4.90/5.07 inference(monotonicity,[status(thm)],[6675])).
% 4.90/5.07 tff(6677,plain,
% 4.90/5.07 (mult(mult(mult(mult(a, mult(c, a)), b), mult(a, c)), b) = mult(mult(mult(mult(a, c), mult(b, a)), mult(a, c)), b)),
% 4.90/5.07 inference(monotonicity,[status(thm)],[6676])).
% 4.90/5.07 tff(6678,plain,
% 4.90/5.07 ((~![C: $i, B: $i, A: $i] : (mult(mult(mult(A, B), C), B) = mult(A, mult(mult(B, C), B)))) | (mult(mult(mult(mult(a, mult(c, a)), b), mult(a, c)), b) = mult(mult(a, mult(c, a)), mult(mult(b, mult(a, c)), b)))),
% 4.90/5.07 inference(quant_inst,[status(thm)],[])).
% 4.90/5.07 tff(6679,plain,
% 4.90/5.07 (mult(mult(mult(mult(a, mult(c, a)), b), mult(a, c)), b) = mult(mult(a, mult(c, a)), mult(mult(b, mult(a, c)), b))),
% 4.90/5.07 inference(unit_resolution,[status(thm)],[6678, 860])).
% 4.90/5.07 tff(6680,plain,
% 4.90/5.07 (mult(mult(a, mult(c, a)), mult(mult(b, mult(a, c)), b)) = mult(mult(mult(mult(a, mult(c, a)), b), mult(a, c)), b)),
% 4.90/5.07 inference(symmetry,[status(thm)],[6679])).
% 4.90/5.07 tff(6681,plain,
% 4.90/5.07 (mult(mult(a, mult(c, a)), mult(mult(mult(b, c), a), b)) = mult(mult(a, mult(c, a)), mult(mult(b, mult(a, c)), b))),
% 4.90/5.07 inference(monotonicity,[status(thm)],[6488])).
% 4.90/5.07 tff(6682,plain,
% 4.90/5.07 (mult(mult(mult(a, c), a), mult(mult(mult(b, c), a), b)) = mult(mult(a, mult(c, a)), mult(mult(mult(b, c), a), b))),
% 4.90/5.07 inference(monotonicity,[status(thm)],[3701])).
% 4.90/5.07 tff(6683,plain,
% 4.90/5.07 (mult(mult(mult(a, c), a), mult(mult(mult(b, c), a), b)) = mult(mult(mult(mult(a, c), mult(b, a)), mult(a, c)), b)),
% 4.90/5.07 inference(transitivity,[status(thm)],[6682, 6681, 6680, 6677])).
% 4.90/5.07 tff(6684,plain,
% 4.90/5.07 (mult(mult(mult(mult(a, c), a), mult(mult(mult(b, c), a), b)), a) = mult(mult(mult(mult(mult(a, c), mult(b, a)), mult(a, c)), b), a)),
% 4.90/5.07 inference(monotonicity,[status(thm)],[6683])).
% 4.90/5.07 tff(6685,plain,
% 4.90/5.07 ((~![C: $i, B: $i, A: $i] : (mult(mult(mult(A, B), C), B) = mult(A, mult(mult(B, C), B)))) | (mult(mult(mult(mult(a, c), a), mult(mult(mult(b, c), a), b)), a) = mult(mult(a, c), mult(mult(a, mult(mult(mult(b, c), a), b)), a)))),
% 4.90/5.07 inference(quant_inst,[status(thm)],[])).
% 4.90/5.07 tff(6686,plain,
% 4.90/5.07 (mult(mult(mult(mult(a, c), a), mult(mult(mult(b, c), a), b)), a) = mult(mult(a, c), mult(mult(a, mult(mult(mult(b, c), a), b)), a))),
% 4.90/5.07 inference(unit_resolution,[status(thm)],[6685, 860])).
% 4.90/5.07 tff(6687,plain,
% 4.90/5.07 (mult(mult(a, c), mult(mult(a, mult(mult(mult(b, c), a), b)), a)) = mult(mult(mult(mult(a, c), a), mult(mult(mult(b, c), a), b)), a)),
% 4.90/5.07 inference(symmetry,[status(thm)],[6686])).
% 4.90/5.07 tff(6688,plain,
% 4.90/5.07 (mult(a, mult(mult(b, mult(a, c)), b)) = mult(a, mult(mult(mult(b, c), a), b))),
% 4.90/5.07 inference(symmetry,[status(thm)],[6489])).
% 4.90/5.07 tff(6689,plain,
% 4.90/5.07 (mult(mult(mult(mult(a, b), c), a), b) = mult(a, mult(mult(mult(b, c), a), b))),
% 4.90/5.07 inference(transitivity,[status(thm)],[6160, 6137, 6688])).
% 4.90/5.07 tff(6690,plain,
% 4.90/5.07 (mult(mult(mult(mult(mult(a, b), c), a), b), a) = mult(mult(a, mult(mult(mult(b, c), a), b)), a)),
% 4.90/5.07 inference(monotonicity,[status(thm)],[6689])).
% 4.90/5.07 tff(6691,assumption,(mult(mult(mult(mult(mult(a, b), c), a), b), a) = mult(mult(mult(mult(a, b), c), a), mult(a, b))), introduced(assumption)).
% 4.90/5.07 tff(6692,plain,
% 4.90/5.07 (mult(mult(mult(mult(a, b), c), a), mult(a, b)) = mult(mult(mult(mult(mult(a, b), c), a), b), a)),
% 4.90/5.07 inference(symmetry,[status(thm)],[6691])).
% 4.90/5.07 tff(6693,plain,
% 4.90/5.07 (mult(mult(mult(a, b), mult(a, c)), mult(a, b)) = mult(mult(mult(mult(a, b), c), a), mult(a, b))),
% 4.90/5.07 inference(monotonicity,[status(thm)],[403])).
% 4.90/5.07 tff(6694,plain,
% 4.90/5.07 (mult(mult(mult(a, b), mult(a, c)), mult(a, b)) = mult(mult(a, mult(mult(mult(b, c), a), b)), a)),
% 4.90/5.07 inference(transitivity,[status(thm)],[6693, 6692, 6690])).
% 4.90/5.07 tff(6695,plain,
% 4.90/5.07 (mult(mult(a, c), mult(mult(mult(a, b), mult(a, c)), mult(a, b))) = mult(mult(a, c), mult(mult(a, mult(mult(mult(b, c), a), b)), a))),
% 4.90/5.07 inference(monotonicity,[status(thm)],[6694])).
% 4.90/5.07 tff(6696,plain,
% 4.90/5.07 ((~![C: $i, B: $i, A: $i] : (mult(mult(mult(A, B), C), B) = mult(A, mult(mult(B, C), B)))) | (mult(mult(mult(mult(a, c), mult(a, b)), mult(a, c)), mult(a, b)) = mult(mult(a, c), mult(mult(mult(a, b), mult(a, c)), mult(a, b))))),
% 4.90/5.07 inference(quant_inst,[status(thm)],[])).
% 4.90/5.07 tff(6697,plain,
% 4.90/5.07 (mult(mult(mult(mult(a, c), mult(a, b)), mult(a, c)), mult(a, b)) = mult(mult(a, c), mult(mult(mult(a, b), mult(a, c)), mult(a, b)))),
% 4.90/5.07 inference(unit_resolution,[status(thm)],[6696, 860])).
% 4.90/5.07 tff(6698,plain,
% 4.90/5.07 (mult(mult(mult(a, c), mult(a, b)), mult(a, c)) = mult(mult(mult(mult(a, c), b), a), mult(a, c))),
% 4.90/5.07 inference(monotonicity,[status(thm)],[2160])).
% 4.90/5.07 tff(6699,plain,
% 4.90/5.07 (mult(mult(mult(mult(a, c), b), a), mult(a, c)) = mult(mult(mult(a, c), mult(a, b)), mult(a, c))),
% 4.90/5.07 inference(symmetry,[status(thm)],[6698])).
% 4.90/5.07 tff(6700,plain,
% 4.90/5.07 (mult(mult(mult(mult(mult(a, c), b), a), mult(a, c)), mult(a, b)) = mult(mult(mult(mult(a, c), mult(a, b)), mult(a, c)), mult(a, b))),
% 4.90/5.07 inference(monotonicity,[status(thm)],[6699])).
% 4.90/5.07 tff(6701,plain,
% 4.90/5.07 (mult(mult(mult(mult(mult(a, c), b), a), mult(a, c)), mult(a, b)) = mult(mult(mult(mult(a, c), mult(b, a)), mult(a, c)), mult(a, b))),
% 4.90/5.07 inference(transitivity,[status(thm)],[6700, 6697, 6695, 6687, 6684, 6674])).
% 4.90/5.07 tff(6702,plain,
% 4.90/5.07 (rd(mult(mult(mult(mult(mult(a, c), b), a), mult(a, c)), mult(a, b)), mult(a, b)) = rd(mult(mult(mult(mult(a, c), mult(b, a)), mult(a, c)), mult(a, b)), mult(a, b))),
% 4.90/5.07 inference(monotonicity,[status(thm)],[6701])).
% 4.90/5.07 tff(6703,plain,
% 4.90/5.07 ((~![B: $i, A: $i] : (rd(mult(A, B), B) = A)) | (rd(mult(mult(mult(mult(mult(a, c), b), a), mult(a, c)), mult(a, b)), mult(a, b)) = mult(mult(mult(mult(a, c), b), a), mult(a, c)))),
% 4.90/5.07 inference(quant_inst,[status(thm)],[])).
% 4.90/5.07 tff(6704,plain,
% 4.90/5.07 (rd(mult(mult(mult(mult(mult(a, c), b), a), mult(a, c)), mult(a, b)), mult(a, b)) = mult(mult(mult(mult(a, c), b), a), mult(a, c))),
% 4.90/5.07 inference(unit_resolution,[status(thm)],[6703, 72])).
% 4.90/5.07 tff(6705,plain,
% 4.90/5.07 (mult(mult(mult(mult(a, c), b), a), mult(a, c)) = rd(mult(mult(mult(mult(mult(a, c), b), a), mult(a, c)), mult(a, b)), mult(a, b))),
% 4.90/5.07 inference(symmetry,[status(thm)],[6704])).
% 4.90/5.07 tff(6706,plain,
% 4.90/5.07 (mult(mult(mult(mult(a, c), b), a), mult(a, c)) = mult(mult(mult(a, c), mult(b, a)), mult(a, c))),
% 4.90/5.07 inference(transitivity,[status(thm)],[6705, 6702, 6673])).
% 4.90/5.07 tff(6707,plain,
% 4.90/5.07 (rd(mult(mult(mult(mult(a, c), b), a), mult(a, c)), mult(a, c)) = rd(mult(mult(mult(a, c), mult(b, a)), mult(a, c)), mult(a, c))),
% 4.90/5.07 inference(monotonicity,[status(thm)],[6706])).
% 4.90/5.07 tff(6708,plain,
% 4.90/5.07 ((~![B: $i, A: $i] : (rd(mult(A, B), B) = A)) | (rd(mult(mult(mult(mult(a, c), b), a), mult(a, c)), mult(a, c)) = mult(mult(mult(a, c), b), a))),
% 4.90/5.07 inference(quant_inst,[status(thm)],[])).
% 4.90/5.07 tff(6709,plain,
% 4.90/5.07 (rd(mult(mult(mult(mult(a, c), b), a), mult(a, c)), mult(a, c)) = mult(mult(mult(a, c), b), a)),
% 4.90/5.07 inference(unit_resolution,[status(thm)],[6708, 72])).
% 4.90/5.07 tff(6710,plain,
% 4.90/5.07 (mult(mult(mult(a, c), b), a) = rd(mult(mult(mult(mult(a, c), b), a), mult(a, c)), mult(a, c))),
% 4.90/5.07 inference(symmetry,[status(thm)],[6709])).
% 4.90/5.07 tff(6711,plain,
% 4.90/5.07 (mult(mult(mult(a, c), b), a) = mult(mult(a, c), mult(b, a))),
% 4.90/5.07 inference(transitivity,[status(thm)],[6710, 6707, 6671])).
% 4.90/5.07 tff(6712,plain,
% 4.90/5.07 ($false),
% 4.90/5.07 inference(unit_resolution,[status(thm)],[614, 6711])).
% 4.90/5.07 tff(6713,plain,((~(mult(mult(mult(mult(mult(a, b), c), a), b), a) = mult(mult(mult(mult(a, b), c), a), mult(a, b)))) | (mult(mult(mult(a, c), b), a) = mult(mult(a, c), mult(b, a))) | (~(mult(mult(mult(mult(mult(a, c), mult(b, a)), mult(a, c)), b), a) = mult(mult(mult(mult(a, c), mult(b, a)), mult(a, c)), mult(a, b)))) | (~(mult(mult(b, c), a) = mult(b, mult(a, c)))) | (~(mult(mult(b, mult(c, a)), a) = mult(b, mult(a, mult(c, a))))) | (~(mult(mult(b, a), c) = mult(b, mult(c, a)))) | (~(mult(mult(mult(a, b), c), a) = mult(mult(a, b), mult(a, c))))), inference(lemma,lemma(discharge,[]))).
% 4.90/5.07 tff(6714,plain,
% 4.90/5.07 ((~(mult(mult(mult(mult(mult(a, b), c), a), b), a) = mult(mult(mult(mult(a, b), c), a), mult(a, b)))) | (mult(mult(mult(a, c), b), a) = mult(mult(a, c), mult(b, a))) | (~(mult(mult(mult(mult(mult(a, c), mult(b, a)), mult(a, c)), b), a) = mult(mult(mult(mult(a, c), mult(b, a)), mult(a, c)), mult(a, b)))) | (~(mult(mult(b, c), a) = mult(b, mult(a, c)))) | (~(mult(mult(b, mult(c, a)), a) = mult(b, mult(a, mult(c, a))))) | (~(mult(mult(mult(a, b), c), a) = mult(mult(a, b), mult(a, c))))),
% 4.90/5.07 inference(unit_resolution,[status(thm)],[6713, 3427])).
% 4.90/5.07 tff(6715,plain,
% 4.90/5.07 ((~(mult(mult(mult(mult(mult(a, b), c), a), b), a) = mult(mult(mult(mult(a, b), c), a), mult(a, b)))) | (mult(mult(mult(a, c), b), a) = mult(mult(a, c), mult(b, a))) | (~(mult(mult(mult(mult(mult(a, c), mult(b, a)), mult(a, c)), b), a) = mult(mult(mult(mult(a, c), mult(b, a)), mult(a, c)), mult(a, b)))) | (~(mult(mult(mult(a, b), c), a) = mult(mult(a, b), mult(a, c))))),
% 4.90/5.07 inference(unit_resolution,[status(thm)],[6714, 3433, 4679])).
% 4.90/5.07 tff(6716,plain,
% 4.90/5.07 (~(mult(mult(mult(mult(mult(a, c), mult(b, a)), mult(a, c)), b), a) = mult(mult(mult(mult(a, c), mult(b, a)), mult(a, c)), mult(a, b)))),
% 4.90/5.08 inference(unit_resolution,[status(thm)],[6715, 6669, 614, 5305])).
% 4.90/5.08 tff(6717,plain,
% 4.90/5.08 (((~(mult(mult(mult(mult(mult(a, c), mult(b, a)), mult(a, c)), b), a) = mult(mult(mult(mult(a, c), mult(b, a)), mult(a, c)), mult(a, b)))) | (~(mult(mult(mult(mult(mult(a, c), mult(b, a)), mult(a, c)), a), b) = mult(mult(mult(mult(a, c), mult(b, a)), mult(a, c)), mult(b, a))))) | (mult(mult(mult(mult(mult(a, c), mult(b, a)), mult(a, c)), b), a) = mult(mult(mult(mult(a, c), mult(b, a)), mult(a, c)), mult(a, b)))),
% 4.90/5.08 inference(tautology,[status(thm)],[])).
% 4.90/5.08 tff(6718,plain,
% 4.90/5.08 ((~(mult(mult(mult(mult(mult(a, c), mult(b, a)), mult(a, c)), b), a) = mult(mult(mult(mult(a, c), mult(b, a)), mult(a, c)), mult(a, b)))) | (~(mult(mult(mult(mult(mult(a, c), mult(b, a)), mult(a, c)), a), b) = mult(mult(mult(mult(a, c), mult(b, a)), mult(a, c)), mult(b, a))))),
% 4.90/5.08 inference(unit_resolution,[status(thm)],[6717, 6716])).
% 4.90/5.08 tff(6719,plain,
% 4.90/5.08 (((~![X0: $i, X1: $i, X2: $i] : ((~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X2, X1)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X1, X2)))))) | (~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X1, X2)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X2, X1)))))))) | ((~((~(mult(mult(mult(mult(mult(a, c), mult(b, a)), mult(a, c)), b), a) = mult(mult(mult(mult(a, c), mult(b, a)), mult(a, c)), mult(a, b)))) | (~(mult(mult(mult(mult(mult(a, c), mult(b, a)), mult(a, c)), a), b) = mult(mult(mult(mult(a, c), mult(b, a)), mult(a, c)), mult(b, a)))))) | (~((~(mult(mult(mult(mult(mult(a, c), mult(b, a)), mult(a, c)), b), a) = mult(mult(mult(mult(a, c), mult(b, a)), mult(a, c)), mult(b, a)))) | (~(mult(mult(mult(mult(mult(a, c), mult(b, a)), mult(a, c)), a), b) = mult(mult(mult(mult(a, c), mult(b, a)), mult(a, c)), mult(a, b)))))))) <=> ((~![X0: $i, X1: $i, X2: $i] : ((~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X2, X1)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X1, X2)))))) | (~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X1, X2)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X2, X1)))))))) | (~((~(mult(mult(mult(mult(mult(a, c), mult(b, a)), mult(a, c)), b), a) = mult(mult(mult(mult(a, c), mult(b, a)), mult(a, c)), mult(a, b)))) | (~(mult(mult(mult(mult(mult(a, c), mult(b, a)), mult(a, c)), a), b) = mult(mult(mult(mult(a, c), mult(b, a)), mult(a, c)), mult(b, a)))))) | (~((~(mult(mult(mult(mult(mult(a, c), mult(b, a)), mult(a, c)), b), a) = mult(mult(mult(mult(a, c), mult(b, a)), mult(a, c)), mult(b, a)))) | (~(mult(mult(mult(mult(mult(a, c), mult(b, a)), mult(a, c)), a), b) = mult(mult(mult(mult(a, c), mult(b, a)), mult(a, c)), mult(a, b)))))))),
% 4.90/5.08 inference(rewrite,[status(thm)],[])).
% 4.90/5.08 tff(6720,plain,
% 4.90/5.08 ((~![X0: $i, X1: $i, X2: $i] : ((~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X2, X1)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X1, X2)))))) | (~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X1, X2)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X2, X1)))))))) | ((~((~(mult(mult(mult(mult(mult(a, c), mult(b, a)), mult(a, c)), b), a) = mult(mult(mult(mult(a, c), mult(b, a)), mult(a, c)), mult(a, b)))) | (~(mult(mult(mult(mult(mult(a, c), mult(b, a)), mult(a, c)), a), b) = mult(mult(mult(mult(a, c), mult(b, a)), mult(a, c)), mult(b, a)))))) | (~((~(mult(mult(mult(mult(mult(a, c), mult(b, a)), mult(a, c)), b), a) = mult(mult(mult(mult(a, c), mult(b, a)), mult(a, c)), mult(b, a)))) | (~(mult(mult(mult(mult(mult(a, c), mult(b, a)), mult(a, c)), a), b) = mult(mult(mult(mult(a, c), mult(b, a)), mult(a, c)), mult(a, b)))))))),
% 4.90/5.08 inference(quant_inst,[status(thm)],[])).
% 4.90/5.08 tff(6721,plain,
% 4.90/5.08 ((~![X0: $i, X1: $i, X2: $i] : ((~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X2, X1)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X1, X2)))))) | (~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X1, X2)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X2, X1)))))))) | (~((~(mult(mult(mult(mult(mult(a, c), mult(b, a)), mult(a, c)), b), a) = mult(mult(mult(mult(a, c), mult(b, a)), mult(a, c)), mult(a, b)))) | (~(mult(mult(mult(mult(mult(a, c), mult(b, a)), mult(a, c)), a), b) = mult(mult(mult(mult(a, c), mult(b, a)), mult(a, c)), mult(b, a)))))) | (~((~(mult(mult(mult(mult(mult(a, c), mult(b, a)), mult(a, c)), b), a) = mult(mult(mult(mult(a, c), mult(b, a)), mult(a, c)), mult(b, a)))) | (~(mult(mult(mult(mult(mult(a, c), mult(b, a)), mult(a, c)), a), b) = mult(mult(mult(mult(a, c), mult(b, a)), mult(a, c)), mult(a, b))))))),
% 4.90/5.08 inference(modus_ponens,[status(thm)],[6720, 6719])).
% 4.90/5.08 tff(6722,plain,
% 4.90/5.08 ((~((~(mult(mult(mult(mult(mult(a, c), mult(b, a)), mult(a, c)), b), a) = mult(mult(mult(mult(a, c), mult(b, a)), mult(a, c)), mult(a, b)))) | (~(mult(mult(mult(mult(mult(a, c), mult(b, a)), mult(a, c)), a), b) = mult(mult(mult(mult(a, c), mult(b, a)), mult(a, c)), mult(b, a)))))) | (~((~(mult(mult(mult(mult(mult(a, c), mult(b, a)), mult(a, c)), b), a) = mult(mult(mult(mult(a, c), mult(b, a)), mult(a, c)), mult(b, a)))) | (~(mult(mult(mult(mult(mult(a, c), mult(b, a)), mult(a, c)), a), b) = mult(mult(mult(mult(a, c), mult(b, a)), mult(a, c)), mult(a, b))))))),
% 4.90/5.08 inference(unit_resolution,[status(thm)],[6721, 30])).
% 4.90/5.08 tff(6723,plain,
% 4.90/5.08 (~((~(mult(mult(mult(mult(mult(a, c), mult(b, a)), mult(a, c)), b), a) = mult(mult(mult(mult(a, c), mult(b, a)), mult(a, c)), mult(b, a)))) | (~(mult(mult(mult(mult(mult(a, c), mult(b, a)), mult(a, c)), a), b) = mult(mult(mult(mult(a, c), mult(b, a)), mult(a, c)), mult(a, b)))))),
% 4.90/5.08 inference(unit_resolution,[status(thm)],[6722, 6718])).
% 4.90/5.08 tff(6724,plain,
% 4.90/5.08 (((~(mult(mult(mult(mult(mult(a, c), mult(b, a)), mult(a, c)), b), a) = mult(mult(mult(mult(a, c), mult(b, a)), mult(a, c)), mult(b, a)))) | (~(mult(mult(mult(mult(mult(a, c), mult(b, a)), mult(a, c)), a), b) = mult(mult(mult(mult(a, c), mult(b, a)), mult(a, c)), mult(a, b))))) | (mult(mult(mult(mult(mult(a, c), mult(b, a)), mult(a, c)), b), a) = mult(mult(mult(mult(a, c), mult(b, a)), mult(a, c)), mult(b, a)))),
% 4.90/5.08 inference(tautology,[status(thm)],[])).
% 4.90/5.08 tff(6725,plain,
% 4.90/5.08 (mult(mult(mult(mult(mult(a, c), mult(b, a)), mult(a, c)), b), a) = mult(mult(mult(mult(a, c), mult(b, a)), mult(a, c)), mult(b, a))),
% 4.90/5.08 inference(unit_resolution,[status(thm)],[6724, 6723])).
% 4.90/5.08 tff(6726,plain,
% 4.90/5.08 ((mult(c, mult(mult(a, b), a)) = mult(mult(c, mult(a, b)), a)) <=> (mult(mult(c, mult(a, b)), a) = mult(c, mult(mult(a, b), a)))),
% 4.90/5.08 inference(commutativity,[status(thm)],[])).
% 4.90/5.08 tff(6727,plain,
% 4.90/5.08 (mult(mult(c, a), mult(a, b)) = mult(c, mult(mult(a, b), a))),
% 4.90/5.08 inference(unit_resolution,[status(thm)],[4169, 6003])).
% 4.90/5.08 tff(6728,plain,
% 4.90/5.08 ((mult(mult(c, a), mult(a, b)) = mult(c, mult(a, mult(a, b)))) <=> (mult(c, mult(mult(a, b), a)) = mult(mult(c, mult(a, b)), a))),
% 4.90/5.08 inference(monotonicity,[status(thm)],[6727, 6005])).
% 4.90/5.08 tff(6729,plain,
% 4.90/5.08 ((mult(mult(c, a), mult(a, b)) = mult(c, mult(a, mult(a, b)))) <=> (mult(mult(c, mult(a, b)), a) = mult(c, mult(mult(a, b), a)))),
% 4.90/5.08 inference(transitivity,[status(thm)],[6728, 6726])).
% 4.90/5.08 tff(6730,plain,
% 4.90/5.08 ((mult(mult(c, mult(a, b)), a) = mult(c, mult(mult(a, b), a))) <=> (mult(mult(c, a), mult(a, b)) = mult(c, mult(a, mult(a, b))))),
% 4.90/5.08 inference(symmetry,[status(thm)],[6729])).
% 4.90/5.08 tff(6731,plain,
% 4.90/5.08 ((~(mult(mult(c, mult(a, b)), a) = mult(c, mult(mult(a, b), a)))) <=> (~(mult(mult(c, a), mult(a, b)) = mult(c, mult(a, mult(a, b)))))),
% 4.90/5.08 inference(monotonicity,[status(thm)],[6730])).
% 4.90/5.08 tff(6732,plain,
% 4.90/5.08 (~(mult(mult(c, a), mult(a, b)) = mult(c, mult(a, mult(a, b))))),
% 4.90/5.08 inference(modus_ponens,[status(thm)],[6001, 6731])).
% 4.90/5.08 tff(6733,plain,
% 4.90/5.08 (mult(mult(c, mult(a, b)), a) = mult(mult(mult(c, a), b), a)),
% 4.90/5.08 inference(monotonicity,[status(thm)],[271])).
% 4.90/5.08 tff(6734,assumption,(~(mult(mult(c, a), mult(a, b)) = mult(c, mult(a, mult(a, b))))), introduced(assumption)).
% 4.90/5.08 tff(6735,plain,
% 4.90/5.08 ((~(mult(mult(c, a), mult(a, b)) = mult(c, mult(a, mult(a, b))))) | (~(mult(mult(c, mult(a, b)), a) = mult(c, mult(mult(a, b), a))))),
% 4.90/5.08 inference(unit_resolution,[status(thm)],[4177, 6734])).
% 4.90/5.08 tff(6736,plain,
% 4.90/5.08 (~((~(mult(mult(c, a), mult(a, b)) = mult(c, mult(mult(a, b), a)))) | (~(mult(mult(c, mult(a, b)), a) = mult(c, mult(a, mult(a, b))))))),
% 4.90/5.08 inference(unit_resolution,[status(thm)],[4188, 6735])).
% 4.90/5.08 tff(6737,plain,
% 4.90/5.08 (mult(mult(c, mult(a, b)), a) = mult(c, mult(a, mult(a, b)))),
% 4.90/5.08 inference(unit_resolution,[status(thm)],[2927, 6736])).
% 4.90/5.08 tff(6738,plain,
% 4.90/5.08 (mult(c, mult(a, mult(a, b))) = mult(mult(c, mult(a, b)), a)),
% 4.90/5.08 inference(symmetry,[status(thm)],[6737])).
% 4.90/5.08 tff(6739,plain,
% 4.90/5.08 (mult(c, mult(a, mult(a, b))) = mult(c, mult(mult(a, b), a))),
% 4.90/5.08 inference(transitivity,[status(thm)],[6738, 6733, 2807])).
% 4.90/5.08 tff(6740,plain,
% 4.90/5.08 ((mult(mult(c, a), mult(a, b)) = mult(c, mult(a, mult(a, b)))) <=> (mult(mult(c, a), mult(a, b)) = mult(c, mult(mult(a, b), a)))),
% 4.90/5.08 inference(monotonicity,[status(thm)],[6739])).
% 4.90/5.08 tff(6741,plain,
% 4.90/5.08 ((mult(mult(c, a), mult(a, b)) = mult(c, mult(mult(a, b), a))) <=> (mult(mult(c, a), mult(a, b)) = mult(c, mult(a, mult(a, b))))),
% 4.90/5.08 inference(symmetry,[status(thm)],[6740])).
% 4.90/5.08 tff(6742,plain,
% 4.90/5.08 (mult(mult(c, a), mult(a, b)) = mult(c, mult(mult(a, b), a))),
% 4.90/5.08 inference(unit_resolution,[status(thm)],[4169, 6736])).
% 4.90/5.08 tff(6743,plain,
% 4.90/5.08 (mult(mult(c, a), mult(a, b)) = mult(c, mult(a, mult(a, b)))),
% 4.90/5.08 inference(modus_ponens,[status(thm)],[6742, 6741])).
% 4.90/5.08 tff(6744,plain,
% 4.90/5.08 ($false),
% 4.90/5.08 inference(unit_resolution,[status(thm)],[6734, 6743])).
% 4.90/5.08 tff(6745,plain,((mult(mult(c, a), mult(a, b)) = mult(c, mult(a, mult(a, b)))) | (~(mult(mult(c, a), b) = mult(c, mult(a, b))))), inference(lemma,lemma(discharge,[]))).
% 4.90/5.08 tff(6746,plain,
% 4.90/5.08 (~(mult(mult(c, a), b) = mult(c, mult(a, b)))),
% 4.90/5.08 inference(unit_resolution,[status(thm)],[6745, 6732])).
% 4.90/5.08 tff(6747,plain,
% 4.90/5.08 ((~![B: $i, A: $i] : (ld(A, mult(A, B)) = B)) | (ld(mult(mult(a, c), mult(b, a)), mult(mult(mult(a, c), mult(b, a)), mult(mult(a, mult(c, b)), a))) = mult(mult(a, mult(c, b)), a))),
% 4.90/5.08 inference(quant_inst,[status(thm)],[])).
% 4.90/5.08 tff(6748,plain,
% 4.90/5.08 (ld(mult(mult(a, c), mult(b, a)), mult(mult(mult(a, c), mult(b, a)), mult(mult(a, mult(c, b)), a))) = mult(mult(a, mult(c, b)), a)),
% 4.90/5.08 inference(unit_resolution,[status(thm)],[6747, 9])).
% 4.90/5.08 tff(6749,plain,
% 4.90/5.08 (mult(mult(a, mult(c, b)), a) = mult(mult(a, b), mult(a, c))),
% 4.90/5.08 inference(transitivity,[status(thm)],[108, 5305])).
% 4.90/5.08 tff(6750,plain,
% 4.90/5.08 (mult(mult(mult(a, c), mult(b, a)), mult(mult(a, mult(c, b)), a)) = mult(mult(mult(a, c), mult(b, a)), mult(mult(a, b), mult(a, c)))),
% 4.90/5.08 inference(monotonicity,[status(thm)],[6749])).
% 4.90/5.08 tff(6751,plain,
% 4.90/5.08 (mult(mult(mult(a, c), mult(b, a)), mult(mult(a, b), mult(a, c))) = mult(mult(mult(a, c), mult(b, a)), mult(mult(a, mult(c, b)), a))),
% 4.90/5.08 inference(symmetry,[status(thm)],[6750])).
% 4.90/5.08 tff(6752,plain,
% 4.90/5.08 (mult(a, mult(a, mult(c, b))) = mult(a, mult(mult(b, c), a))),
% 4.90/5.08 inference(transitivity,[status(thm)],[111, 948, 2160, 511, 510])).
% 4.90/5.08 tff(6753,plain,
% 4.90/5.08 (ld(a, mult(a, mult(a, mult(c, b)))) = ld(a, mult(a, mult(mult(b, c), a)))),
% 4.90/5.08 inference(monotonicity,[status(thm)],[6752])).
% 4.90/5.08 tff(6754,plain,
% 4.90/5.08 (ld(a, mult(a, mult(mult(b, c), a))) = ld(a, mult(a, mult(a, mult(c, b))))),
% 4.90/5.08 inference(symmetry,[status(thm)],[6753])).
% 4.90/5.08 tff(6755,plain,
% 4.90/5.08 (mult(mult(b, c), a) = mult(a, mult(c, b))),
% 4.90/5.08 inference(transitivity,[status(thm)],[5314, 6754, 802])).
% 4.90/5.08 tff(6756,plain,
% 4.90/5.08 (mult(mult(mult(b, c), a), a) = mult(mult(a, mult(c, b)), a)),
% 4.90/5.08 inference(monotonicity,[status(thm)],[6755])).
% 4.90/5.08 tff(6757,plain,
% 4.90/5.08 (mult(mult(a, mult(c, b)), a) = mult(mult(mult(b, c), a), a)),
% 4.90/5.08 inference(symmetry,[status(thm)],[6756])).
% 4.90/5.08 tff(6758,plain,
% 4.90/5.08 (mult(mult(a, b), mult(a, c)) = mult(b, mult(a, mult(a, c)))),
% 4.90/5.08 inference(transitivity,[status(thm)],[5360, 107, 6757, 5784, 5328])).
% 4.90/5.08 tff(6759,plain,
% 4.90/5.08 (mult(mult(mult(a, c), mult(b, a)), mult(mult(a, b), mult(a, c))) = mult(mult(mult(a, c), mult(b, a)), mult(b, mult(a, mult(a, c))))),
% 4.90/5.08 inference(monotonicity,[status(thm)],[6758])).
% 4.90/5.08 tff(6760,plain,
% 4.90/5.08 (mult(mult(mult(a, c), mult(b, a)), mult(b, mult(a, mult(a, c)))) = mult(mult(mult(a, c), mult(b, a)), mult(mult(a, b), mult(a, c)))),
% 4.90/5.08 inference(symmetry,[status(thm)],[6759])).
% 4.90/5.08 tff(6761,assumption,(mult(mult(mult(mult(a, c), a), mult(mult(mult(b, c), a), b)), a) = mult(mult(mult(a, c), a), mult(a, mult(mult(mult(b, c), a), b)))), introduced(assumption)).
% 4.90/5.08 tff(6762,plain,
% 4.90/5.08 (mult(mult(mult(mult(mult(a, b), c), a), b), a) = mult(mult(mult(mult(a, b), c), a), mult(a, b))),
% 4.90/5.08 inference(unit_resolution,[status(thm)],[6668, 6666, 510, 593, 971, 117, 106])).
% 4.90/5.08 tff(6763,plain,
% 4.90/5.08 (~(mult(mult(mult(mult(mult(a, c), mult(b, a)), mult(a, c)), b), a) = mult(mult(mult(mult(a, c), mult(b, a)), mult(a, c)), mult(a, b)))),
% 4.90/5.08 inference(unit_resolution,[status(thm)],[6715, 6762, 614, 5305])).
% 4.90/5.08 tff(6764,plain,
% 4.90/5.08 ((~(mult(mult(mult(mult(mult(a, c), mult(b, a)), mult(a, c)), b), a) = mult(mult(mult(mult(a, c), mult(b, a)), mult(a, c)), mult(a, b)))) | (~(mult(mult(mult(mult(mult(a, c), mult(b, a)), mult(a, c)), a), b) = mult(mult(mult(mult(a, c), mult(b, a)), mult(a, c)), mult(b, a))))),
% 4.90/5.08 inference(unit_resolution,[status(thm)],[6717, 6763])).
% 4.90/5.08 tff(6765,plain,
% 4.90/5.08 (~((~(mult(mult(mult(mult(mult(a, c), mult(b, a)), mult(a, c)), b), a) = mult(mult(mult(mult(a, c), mult(b, a)), mult(a, c)), mult(b, a)))) | (~(mult(mult(mult(mult(mult(a, c), mult(b, a)), mult(a, c)), a), b) = mult(mult(mult(mult(a, c), mult(b, a)), mult(a, c)), mult(a, b)))))),
% 4.90/5.08 inference(unit_resolution,[status(thm)],[6722, 6764])).
% 4.90/5.08 tff(6766,plain,
% 4.90/5.08 (mult(mult(mult(mult(mult(a, c), mult(b, a)), mult(a, c)), b), a) = mult(mult(mult(mult(a, c), mult(b, a)), mult(a, c)), mult(b, a))),
% 4.90/5.08 inference(unit_resolution,[status(thm)],[6724, 6765])).
% 4.90/5.08 tff(6767,plain,
% 4.90/5.08 ((~![B: $i, A: $i] : (rd(mult(A, B), B) = A)) | (rd(mult(mult(mult(mult(a, c), mult(b, a)), mult(a, c)), a), a) = mult(mult(mult(a, c), mult(b, a)), mult(a, c)))),
% 4.90/5.08 inference(quant_inst,[status(thm)],[])).
% 4.90/5.08 tff(6768,plain,
% 4.90/5.08 (rd(mult(mult(mult(mult(a, c), mult(b, a)), mult(a, c)), a), a) = mult(mult(mult(a, c), mult(b, a)), mult(a, c))),
% 4.90/5.08 inference(unit_resolution,[status(thm)],[6767, 72])).
% 4.90/5.08 tff(6769,plain,
% 4.90/5.08 (((~(mult(mult(mult(mult(mult(a, c), mult(b, a)), mult(a, c)), b), a) = mult(mult(mult(mult(a, c), mult(b, a)), mult(a, c)), mult(b, a)))) | (~(mult(mult(mult(mult(mult(a, c), mult(b, a)), mult(a, c)), a), b) = mult(mult(mult(mult(a, c), mult(b, a)), mult(a, c)), mult(a, b))))) | (mult(mult(mult(mult(mult(a, c), mult(b, a)), mult(a, c)), a), b) = mult(mult(mult(mult(a, c), mult(b, a)), mult(a, c)), mult(a, b)))),
% 4.90/5.08 inference(tautology,[status(thm)],[])).
% 4.90/5.08 tff(6770,plain,
% 4.90/5.08 (mult(mult(mult(mult(mult(a, c), mult(b, a)), mult(a, c)), a), b) = mult(mult(mult(mult(a, c), mult(b, a)), mult(a, c)), mult(a, b))),
% 4.90/5.08 inference(unit_resolution,[status(thm)],[6769, 6765])).
% 4.90/5.08 tff(6771,plain,
% 4.90/5.08 ((~![B: $i, A: $i] : (ld(A, mult(A, B)) = B)) | (ld(mult(mult(mult(a, c), mult(b, a)), mult(a, c)), mult(mult(mult(mult(a, c), mult(b, a)), mult(a, c)), mult(b, a))) = mult(b, a))),
% 4.90/5.08 inference(quant_inst,[status(thm)],[])).
% 4.90/5.08 tff(6772,plain,
% 4.90/5.08 (ld(mult(mult(mult(a, c), mult(b, a)), mult(a, c)), mult(mult(mult(mult(a, c), mult(b, a)), mult(a, c)), mult(b, a))) = mult(b, a)),
% 4.90/5.08 inference(unit_resolution,[status(thm)],[6771, 9])).
% 4.90/5.08 tff(6773,assumption,(mult(mult(mult(mult(mult(a, c), mult(b, a)), mult(a, c)), a), b) = mult(mult(mult(mult(a, c), mult(b, a)), mult(a, c)), mult(b, a))), introduced(assumption)).
% 4.90/5.08 tff(6774,assumption,(mult(mult(mult(mult(mult(a, c), mult(b, a)), mult(a, c)), a), b) = mult(mult(mult(mult(a, c), mult(b, a)), mult(a, c)), mult(a, b))), introduced(assumption)).
% 4.90/5.08 tff(6775,plain,
% 4.90/5.08 (mult(mult(mult(mult(a, c), mult(b, a)), mult(a, c)), mult(a, b)) = mult(mult(mult(mult(mult(a, c), mult(b, a)), mult(a, c)), a), b)),
% 4.90/5.08 inference(symmetry,[status(thm)],[6774])).
% 4.90/5.08 tff(6776,plain,
% 4.90/5.08 (mult(mult(mult(mult(a, c), mult(b, a)), mult(a, c)), mult(a, b)) = mult(mult(mult(mult(a, c), mult(b, a)), mult(a, c)), mult(b, a))),
% 4.90/5.08 inference(transitivity,[status(thm)],[6775, 6773])).
% 4.90/5.08 tff(6777,plain,
% 4.90/5.08 (ld(mult(mult(mult(a, c), mult(b, a)), mult(a, c)), mult(mult(mult(mult(a, c), mult(b, a)), mult(a, c)), mult(a, b))) = ld(mult(mult(mult(a, c), mult(b, a)), mult(a, c)), mult(mult(mult(mult(a, c), mult(b, a)), mult(a, c)), mult(b, a)))),
% 4.90/5.08 inference(monotonicity,[status(thm)],[6776])).
% 4.90/5.08 tff(6778,plain,
% 4.90/5.08 ((~![B: $i, A: $i] : (ld(A, mult(A, B)) = B)) | (ld(mult(mult(mult(a, c), mult(b, a)), mult(a, c)), mult(mult(mult(mult(a, c), mult(b, a)), mult(a, c)), mult(a, b))) = mult(a, b))),
% 4.90/5.09 inference(quant_inst,[status(thm)],[])).
% 4.90/5.09 tff(6779,plain,
% 4.90/5.09 (ld(mult(mult(mult(a, c), mult(b, a)), mult(a, c)), mult(mult(mult(mult(a, c), mult(b, a)), mult(a, c)), mult(a, b))) = mult(a, b)),
% 4.90/5.09 inference(unit_resolution,[status(thm)],[6778, 9])).
% 4.90/5.09 tff(6780,plain,
% 4.90/5.09 (mult(a, b) = ld(mult(mult(mult(a, c), mult(b, a)), mult(a, c)), mult(mult(mult(mult(a, c), mult(b, a)), mult(a, c)), mult(a, b)))),
% 4.90/5.09 inference(symmetry,[status(thm)],[6779])).
% 4.90/5.09 tff(6781,plain,
% 4.90/5.09 (mult(a, b) = mult(b, a)),
% 4.90/5.09 inference(transitivity,[status(thm)],[6780, 6777, 6772])).
% 4.90/5.09 tff(6782,plain,
% 4.90/5.09 ($false),
% 4.90/5.09 inference(unit_resolution,[status(thm)],[1, 6781])).
% 4.90/5.09 tff(6783,plain,((~(mult(mult(mult(mult(mult(a, c), mult(b, a)), mult(a, c)), a), b) = mult(mult(mult(mult(a, c), mult(b, a)), mult(a, c)), mult(b, a)))) | (mult(a, b) = mult(b, a)) | (~(mult(mult(mult(mult(mult(a, c), mult(b, a)), mult(a, c)), a), b) = mult(mult(mult(mult(a, c), mult(b, a)), mult(a, c)), mult(a, b))))), inference(lemma,lemma(discharge,[]))).
% 4.90/5.09 tff(6784,plain,
% 4.90/5.09 (~(mult(mult(mult(mult(mult(a, c), mult(b, a)), mult(a, c)), a), b) = mult(mult(mult(mult(a, c), mult(b, a)), mult(a, c)), mult(b, a)))),
% 4.90/5.09 inference(unit_resolution,[status(thm)],[6783, 6770, 5715])).
% 4.90/5.09 tff(6785,assumption,(mult(mult(mult(mult(mult(a, c), mult(b, a)), mult(a, c)), b), a) = mult(mult(mult(mult(a, c), mult(b, a)), mult(a, c)), mult(b, a))), introduced(assumption)).
% 4.90/5.09 tff(6786,plain,
% 4.90/5.09 (mult(mult(mult(mult(a, c), a), b), mult(a, c)) = mult(mult(mult(a, c), mult(b, a)), mult(a, c))),
% 4.90/5.09 inference(monotonicity,[status(thm)],[1362])).
% 4.90/5.09 tff(6787,plain,
% 4.90/5.09 (mult(mult(mult(mult(mult(a, c), a), b), mult(a, c)), b) = mult(mult(mult(mult(a, c), mult(b, a)), mult(a, c)), b)),
% 4.90/5.09 inference(monotonicity,[status(thm)],[6786])).
% 4.90/5.09 tff(6788,plain,
% 4.90/5.09 ((~![C: $i, B: $i, A: $i] : (mult(mult(mult(A, B), C), B) = mult(A, mult(mult(B, C), B)))) | (mult(mult(mult(mult(mult(a, c), a), b), mult(a, c)), b) = mult(mult(mult(a, c), a), mult(mult(b, mult(a, c)), b)))),
% 4.90/5.09 inference(quant_inst,[status(thm)],[])).
% 4.90/5.09 tff(6789,plain,
% 4.90/5.09 (mult(mult(mult(mult(mult(a, c), a), b), mult(a, c)), b) = mult(mult(mult(a, c), a), mult(mult(b, mult(a, c)), b))),
% 4.90/5.09 inference(unit_resolution,[status(thm)],[6788, 860])).
% 4.90/5.09 tff(6790,plain,
% 4.90/5.09 (mult(mult(mult(a, c), a), mult(mult(b, mult(a, c)), b)) = mult(mult(mult(mult(mult(a, c), a), b), mult(a, c)), b)),
% 4.90/5.09 inference(symmetry,[status(thm)],[6789])).
% 4.90/5.09 tff(6791,plain,
% 4.90/5.09 (mult(mult(mult(a, c), a), mult(mult(mult(b, c), a), b)) = mult(mult(mult(a, c), a), mult(mult(b, mult(a, c)), b))),
% 4.90/5.09 inference(monotonicity,[status(thm)],[6140])).
% 4.90/5.09 tff(6792,plain,
% 4.90/5.09 (mult(mult(mult(a, c), a), mult(mult(mult(b, c), a), b)) = mult(mult(mult(mult(a, c), mult(b, a)), mult(a, c)), b)),
% 4.90/5.09 inference(transitivity,[status(thm)],[6791, 6790, 6787])).
% 4.90/5.09 tff(6793,plain,
% 4.90/5.09 (mult(mult(mult(mult(a, c), a), mult(mult(mult(b, c), a), b)), a) = mult(mult(mult(mult(mult(a, c), mult(b, a)), mult(a, c)), b), a)),
% 4.90/5.09 inference(monotonicity,[status(thm)],[6792])).
% 4.90/5.09 tff(6794,plain,
% 4.90/5.09 (mult(mult(mult(a, c), a), mult(a, mult(mult(mult(b, c), a), b))) = mult(mult(mult(mult(a, c), a), mult(mult(mult(b, c), a), b)), a)),
% 4.90/5.09 inference(symmetry,[status(thm)],[6761])).
% 4.90/5.09 tff(6795,plain,
% 4.90/5.09 (mult(mult(mult(mult(a, b), c), a), b) = mult(a, mult(mult(mult(b, c), a), b))),
% 4.90/5.09 inference(transitivity,[status(thm)],[6160, 6137, 6159])).
% 4.90/5.09 tff(6796,plain,
% 4.90/5.09 (mult(mult(mult(a, c), a), mult(mult(mult(mult(a, b), c), a), b)) = mult(mult(mult(a, c), a), mult(a, mult(mult(mult(b, c), a), b)))),
% 4.90/5.09 inference(monotonicity,[status(thm)],[6795])).
% 4.90/5.09 tff(6797,plain,
% 4.90/5.09 (mult(b, mult(a, mult(a, c))) = mult(mult(mult(a, b), c), a)),
% 4.90/5.09 inference(transitivity,[status(thm)],[5329, 5318, 5568, 108])).
% 4.90/5.09 tff(6798,plain,
% 4.90/5.09 (mult(mult(b, mult(a, mult(a, c))), b) = mult(mult(mult(mult(a, b), c), a), b)),
% 4.90/5.09 inference(monotonicity,[status(thm)],[6797])).
% 4.90/5.09 tff(6799,plain,
% 4.90/5.09 (mult(mult(mult(a, c), a), mult(mult(b, mult(a, mult(a, c))), b)) = mult(mult(mult(a, c), a), mult(mult(mult(mult(a, b), c), a), b))),
% 4.90/5.09 inference(monotonicity,[status(thm)],[6798])).
% 4.90/5.09 tff(6800,plain,
% 4.90/5.09 ((~![C: $i, B: $i, A: $i] : (mult(mult(mult(A, B), C), B) = mult(A, mult(mult(B, C), B)))) | (mult(mult(mult(mult(mult(a, c), a), b), mult(a, mult(a, c))), b) = mult(mult(mult(a, c), a), mult(mult(b, mult(a, mult(a, c))), b)))),
% 4.90/5.09 inference(quant_inst,[status(thm)],[])).
% 4.90/5.09 tff(6801,plain,
% 4.90/5.09 (mult(mult(mult(mult(mult(a, c), a), b), mult(a, mult(a, c))), b) = mult(mult(mult(a, c), a), mult(mult(b, mult(a, mult(a, c))), b))),
% 4.90/5.09 inference(unit_resolution,[status(thm)],[6800, 860])).
% 4.90/5.09 tff(6802,plain,
% 4.90/5.09 (mult(mult(mult(mult(a, c), a), b), mult(a, mult(a, c))) = mult(mult(mult(a, c), mult(b, a)), mult(a, mult(a, c)))),
% 4.90/5.09 inference(monotonicity,[status(thm)],[1362])).
% 4.90/5.09 tff(6803,plain,
% 4.90/5.09 (mult(mult(mult(a, c), mult(b, a)), mult(a, mult(a, c))) = mult(mult(mult(mult(a, c), a), b), mult(a, mult(a, c)))),
% 4.90/5.09 inference(symmetry,[status(thm)],[6802])).
% 4.90/5.09 tff(6804,plain,
% 4.90/5.09 (mult(mult(mult(mult(a, c), mult(b, a)), mult(a, mult(a, c))), b) = mult(mult(mult(mult(mult(a, c), a), b), mult(a, mult(a, c))), b)),
% 4.90/5.09 inference(monotonicity,[status(thm)],[6803])).
% 4.90/5.09 tff(6805,assumption,(mult(mult(mult(mult(a, c), mult(b, a)), mult(a, c)), a) = mult(mult(mult(a, c), mult(b, a)), mult(a, mult(a, c)))), introduced(assumption)).
% 4.90/5.09 tff(6806,plain,
% 4.90/5.09 (mult(mult(mult(mult(mult(a, c), mult(b, a)), mult(a, c)), a), b) = mult(mult(mult(mult(a, c), mult(b, a)), mult(a, mult(a, c))), b)),
% 4.90/5.09 inference(monotonicity,[status(thm)],[6805])).
% 4.90/5.09 tff(6807,plain,
% 4.90/5.09 (mult(mult(mult(mult(mult(a, c), mult(b, a)), mult(a, c)), a), b) = mult(mult(mult(mult(a, c), mult(b, a)), mult(a, c)), mult(b, a))),
% 4.90/5.09 inference(transitivity,[status(thm)],[6806, 6804, 6801, 6799, 6796, 6794, 6793, 6785])).
% 4.90/5.09 tff(6808,assumption,(~(mult(mult(mult(mult(mult(a, c), mult(b, a)), mult(a, c)), a), b) = mult(mult(mult(mult(a, c), mult(b, a)), mult(a, c)), mult(b, a)))), introduced(assumption)).
% 4.90/5.09 tff(6809,plain,
% 4.90/5.09 ($false),
% 4.90/5.09 inference(unit_resolution,[status(thm)],[6808, 6807])).
% 4.90/5.09 tff(6810,plain,((~(mult(mult(mult(mult(a, c), mult(b, a)), mult(a, c)), a) = mult(mult(mult(a, c), mult(b, a)), mult(a, mult(a, c))))) | (mult(mult(mult(mult(mult(a, c), mult(b, a)), mult(a, c)), a), b) = mult(mult(mult(mult(a, c), mult(b, a)), mult(a, c)), mult(b, a))) | (~(mult(mult(mult(mult(a, c), a), mult(mult(mult(b, c), a), b)), a) = mult(mult(mult(a, c), a), mult(a, mult(mult(mult(b, c), a), b))))) | (~(mult(mult(mult(mult(mult(a, c), mult(b, a)), mult(a, c)), b), a) = mult(mult(mult(mult(a, c), mult(b, a)), mult(a, c)), mult(b, a)))) | (~(mult(mult(mult(a, c), a), b) = mult(mult(a, c), mult(b, a)))) | (~(mult(mult(mult(a, b), c), a) = mult(mult(a, b), mult(a, c)))) | (~(mult(mult(a, mult(b, c)), a) = mult(a, mult(mult(b, c), a)))) | (~(mult(mult(a, c), mult(a, b)) = mult(a, mult(mult(a, b), c)))) | (~(mult(mult(mult(a, c), b), a) = mult(mult(a, c), mult(a, b)))) | (~(mult(mult(a, c), b) = mult(a, mult(b, c)))) | (~(mult(mult(a, b), c) = mult(a, mult(c, b))))), inference(lemma,lemma(discharge,[]))).
% 4.90/5.09 tff(6811,plain,
% 4.90/5.09 (~(mult(mult(mult(mult(a, c), mult(b, a)), mult(a, c)), a) = mult(mult(mult(a, c), mult(b, a)), mult(a, mult(a, c))))),
% 4.90/5.09 inference(unit_resolution,[status(thm)],[6810, 6761, 6784, 6766, 1526, 5305, 510, 593, 971, 117, 106])).
% 4.90/5.09 tff(6812,assumption,(~(mult(mult(mult(mult(a, c), mult(b, a)), mult(a, c)), a) = mult(mult(mult(a, c), mult(b, a)), mult(a, mult(a, c))))), introduced(assumption)).
% 4.90/5.09 tff(6813,plain,
% 4.90/5.09 (((~(mult(mult(mult(mult(a, c), mult(b, a)), a), mult(a, c)) = mult(mult(mult(a, c), mult(b, a)), mult(mult(a, c), a)))) | (~(mult(mult(mult(mult(a, c), mult(b, a)), mult(a, c)), a) = mult(mult(mult(a, c), mult(b, a)), mult(a, mult(a, c)))))) | (mult(mult(mult(mult(a, c), mult(b, a)), mult(a, c)), a) = mult(mult(mult(a, c), mult(b, a)), mult(a, mult(a, c))))),
% 4.90/5.09 inference(tautology,[status(thm)],[])).
% 4.90/5.09 tff(6814,plain,
% 4.90/5.09 ((~(mult(mult(mult(mult(a, c), mult(b, a)), a), mult(a, c)) = mult(mult(mult(a, c), mult(b, a)), mult(mult(a, c), a)))) | (~(mult(mult(mult(mult(a, c), mult(b, a)), mult(a, c)), a) = mult(mult(mult(a, c), mult(b, a)), mult(a, mult(a, c)))))),
% 4.90/5.09 inference(unit_resolution,[status(thm)],[6813, 6812])).
% 4.90/5.09 tff(6815,assumption,((~(mult(mult(mult(mult(a, c), mult(b, a)), a), mult(a, c)) = mult(mult(mult(a, c), mult(b, a)), mult(a, mult(a, c))))) | (~(mult(mult(mult(mult(a, c), mult(b, a)), mult(a, c)), a) = mult(mult(mult(a, c), mult(b, a)), mult(mult(a, c), a))))), introduced(assumption)).
% 4.90/5.09 tff(6816,plain,
% 4.90/5.09 (((~![X0: $i, X1: $i, X2: $i] : ((~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X2, X1)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X1, X2)))))) | (~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X1, X2)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X2, X1)))))))) | ((~((~(mult(mult(mult(mult(a, c), mult(b, a)), a), mult(a, c)) = mult(mult(mult(a, c), mult(b, a)), mult(a, mult(a, c))))) | (~(mult(mult(mult(mult(a, c), mult(b, a)), mult(a, c)), a) = mult(mult(mult(a, c), mult(b, a)), mult(mult(a, c), a)))))) | (~((~(mult(mult(mult(mult(a, c), mult(b, a)), a), mult(a, c)) = mult(mult(mult(a, c), mult(b, a)), mult(mult(a, c), a)))) | (~(mult(mult(mult(mult(a, c), mult(b, a)), mult(a, c)), a) = mult(mult(mult(a, c), mult(b, a)), mult(a, mult(a, c))))))))) <=> ((~![X0: $i, X1: $i, X2: $i] : ((~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X2, X1)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X1, X2)))))) | (~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X1, X2)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X2, X1)))))))) | (~((~(mult(mult(mult(mult(a, c), mult(b, a)), a), mult(a, c)) = mult(mult(mult(a, c), mult(b, a)), mult(a, mult(a, c))))) | (~(mult(mult(mult(mult(a, c), mult(b, a)), mult(a, c)), a) = mult(mult(mult(a, c), mult(b, a)), mult(mult(a, c), a)))))) | (~((~(mult(mult(mult(mult(a, c), mult(b, a)), a), mult(a, c)) = mult(mult(mult(a, c), mult(b, a)), mult(mult(a, c), a)))) | (~(mult(mult(mult(mult(a, c), mult(b, a)), mult(a, c)), a) = mult(mult(mult(a, c), mult(b, a)), mult(a, mult(a, c))))))))),
% 4.90/5.09 inference(rewrite,[status(thm)],[])).
% 4.90/5.09 tff(6817,plain,
% 4.90/5.09 (((~((~(mult(mult(mult(mult(a, c), mult(b, a)), a), mult(a, c)) = mult(mult(mult(a, c), mult(b, a)), mult(mult(a, c), a)))) | (~(mult(mult(mult(mult(a, c), mult(b, a)), mult(a, c)), a) = mult(mult(mult(a, c), mult(b, a)), mult(a, mult(a, c))))))) | (~((~(mult(mult(mult(mult(a, c), mult(b, a)), a), mult(a, c)) = mult(mult(mult(a, c), mult(b, a)), mult(a, mult(a, c))))) | (~(mult(mult(mult(mult(a, c), mult(b, a)), mult(a, c)), a) = mult(mult(mult(a, c), mult(b, a)), mult(mult(a, c), a))))))) <=> ((~((~(mult(mult(mult(mult(a, c), mult(b, a)), a), mult(a, c)) = mult(mult(mult(a, c), mult(b, a)), mult(a, mult(a, c))))) | (~(mult(mult(mult(mult(a, c), mult(b, a)), mult(a, c)), a) = mult(mult(mult(a, c), mult(b, a)), mult(mult(a, c), a)))))) | (~((~(mult(mult(mult(mult(a, c), mult(b, a)), a), mult(a, c)) = mult(mult(mult(a, c), mult(b, a)), mult(mult(a, c), a)))) | (~(mult(mult(mult(mult(a, c), mult(b, a)), mult(a, c)), a) = mult(mult(mult(a, c), mult(b, a)), mult(a, mult(a, c))))))))),
% 4.90/5.09 inference(rewrite,[status(thm)],[])).
% 4.90/5.09 tff(6818,plain,
% 4.90/5.09 (((~![X0: $i, X1: $i, X2: $i] : ((~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X2, X1)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X1, X2)))))) | (~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X1, X2)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X2, X1)))))))) | ((~((~(mult(mult(mult(mult(a, c), mult(b, a)), a), mult(a, c)) = mult(mult(mult(a, c), mult(b, a)), mult(mult(a, c), a)))) | (~(mult(mult(mult(mult(a, c), mult(b, a)), mult(a, c)), a) = mult(mult(mult(a, c), mult(b, a)), mult(a, mult(a, c))))))) | (~((~(mult(mult(mult(mult(a, c), mult(b, a)), a), mult(a, c)) = mult(mult(mult(a, c), mult(b, a)), mult(a, mult(a, c))))) | (~(mult(mult(mult(mult(a, c), mult(b, a)), mult(a, c)), a) = mult(mult(mult(a, c), mult(b, a)), mult(mult(a, c), a)))))))) <=> ((~![X0: $i, X1: $i, X2: $i] : ((~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X2, X1)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X1, X2)))))) | (~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X1, X2)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X2, X1)))))))) | ((~((~(mult(mult(mult(mult(a, c), mult(b, a)), a), mult(a, c)) = mult(mult(mult(a, c), mult(b, a)), mult(a, mult(a, c))))) | (~(mult(mult(mult(mult(a, c), mult(b, a)), mult(a, c)), a) = mult(mult(mult(a, c), mult(b, a)), mult(mult(a, c), a)))))) | (~((~(mult(mult(mult(mult(a, c), mult(b, a)), a), mult(a, c)) = mult(mult(mult(a, c), mult(b, a)), mult(mult(a, c), a)))) | (~(mult(mult(mult(mult(a, c), mult(b, a)), mult(a, c)), a) = mult(mult(mult(a, c), mult(b, a)), mult(a, mult(a, c)))))))))),
% 4.90/5.09 inference(monotonicity,[status(thm)],[6817])).
% 4.90/5.09 tff(6819,plain,
% 4.90/5.09 (((~![X0: $i, X1: $i, X2: $i] : ((~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X2, X1)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X1, X2)))))) | (~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X1, X2)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X2, X1)))))))) | ((~((~(mult(mult(mult(mult(a, c), mult(b, a)), a), mult(a, c)) = mult(mult(mult(a, c), mult(b, a)), mult(mult(a, c), a)))) | (~(mult(mult(mult(mult(a, c), mult(b, a)), mult(a, c)), a) = mult(mult(mult(a, c), mult(b, a)), mult(a, mult(a, c))))))) | (~((~(mult(mult(mult(mult(a, c), mult(b, a)), a), mult(a, c)) = mult(mult(mult(a, c), mult(b, a)), mult(a, mult(a, c))))) | (~(mult(mult(mult(mult(a, c), mult(b, a)), mult(a, c)), a) = mult(mult(mult(a, c), mult(b, a)), mult(mult(a, c), a)))))))) <=> ((~![X0: $i, X1: $i, X2: $i] : ((~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X2, X1)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X1, X2)))))) | (~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X1, X2)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X2, X1)))))))) | (~((~(mult(mult(mult(mult(a, c), mult(b, a)), a), mult(a, c)) = mult(mult(mult(a, c), mult(b, a)), mult(a, mult(a, c))))) | (~(mult(mult(mult(mult(a, c), mult(b, a)), mult(a, c)), a) = mult(mult(mult(a, c), mult(b, a)), mult(mult(a, c), a)))))) | (~((~(mult(mult(mult(mult(a, c), mult(b, a)), a), mult(a, c)) = mult(mult(mult(a, c), mult(b, a)), mult(mult(a, c), a)))) | (~(mult(mult(mult(mult(a, c), mult(b, a)), mult(a, c)), a) = mult(mult(mult(a, c), mult(b, a)), mult(a, mult(a, c))))))))),
% 4.90/5.09 inference(transitivity,[status(thm)],[6818, 6816])).
% 4.90/5.09 tff(6820,plain,
% 4.90/5.09 ((~![X0: $i, X1: $i, X2: $i] : ((~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X2, X1)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X1, X2)))))) | (~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X1, X2)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X2, X1)))))))) | ((~((~(mult(mult(mult(mult(a, c), mult(b, a)), a), mult(a, c)) = mult(mult(mult(a, c), mult(b, a)), mult(mult(a, c), a)))) | (~(mult(mult(mult(mult(a, c), mult(b, a)), mult(a, c)), a) = mult(mult(mult(a, c), mult(b, a)), mult(a, mult(a, c))))))) | (~((~(mult(mult(mult(mult(a, c), mult(b, a)), a), mult(a, c)) = mult(mult(mult(a, c), mult(b, a)), mult(a, mult(a, c))))) | (~(mult(mult(mult(mult(a, c), mult(b, a)), mult(a, c)), a) = mult(mult(mult(a, c), mult(b, a)), mult(mult(a, c), a)))))))),
% 4.90/5.09 inference(quant_inst,[status(thm)],[])).
% 4.90/5.09 tff(6821,plain,
% 4.90/5.09 ((~![X0: $i, X1: $i, X2: $i] : ((~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X2, X1)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X1, X2)))))) | (~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X1, X2)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X2, X1)))))))) | (~((~(mult(mult(mult(mult(a, c), mult(b, a)), a), mult(a, c)) = mult(mult(mult(a, c), mult(b, a)), mult(a, mult(a, c))))) | (~(mult(mult(mult(mult(a, c), mult(b, a)), mult(a, c)), a) = mult(mult(mult(a, c), mult(b, a)), mult(mult(a, c), a)))))) | (~((~(mult(mult(mult(mult(a, c), mult(b, a)), a), mult(a, c)) = mult(mult(mult(a, c), mult(b, a)), mult(mult(a, c), a)))) | (~(mult(mult(mult(mult(a, c), mult(b, a)), mult(a, c)), a) = mult(mult(mult(a, c), mult(b, a)), mult(a, mult(a, c)))))))),
% 4.90/5.09 inference(modus_ponens,[status(thm)],[6820, 6819])).
% 4.90/5.09 tff(6822,plain,
% 4.90/5.09 ($false),
% 4.90/5.09 inference(unit_resolution,[status(thm)],[6821, 30, 6815, 6814])).
% 4.90/5.09 tff(6823,plain,((~((~(mult(mult(mult(mult(a, c), mult(b, a)), a), mult(a, c)) = mult(mult(mult(a, c), mult(b, a)), mult(a, mult(a, c))))) | (~(mult(mult(mult(mult(a, c), mult(b, a)), mult(a, c)), a) = mult(mult(mult(a, c), mult(b, a)), mult(mult(a, c), a)))))) | (mult(mult(mult(mult(a, c), mult(b, a)), mult(a, c)), a) = mult(mult(mult(a, c), mult(b, a)), mult(a, mult(a, c))))), inference(lemma,lemma(discharge,[]))).
% 4.90/5.10 tff(6824,plain,
% 4.90/5.10 (~((~(mult(mult(mult(mult(a, c), mult(b, a)), a), mult(a, c)) = mult(mult(mult(a, c), mult(b, a)), mult(a, mult(a, c))))) | (~(mult(mult(mult(mult(a, c), mult(b, a)), mult(a, c)), a) = mult(mult(mult(a, c), mult(b, a)), mult(mult(a, c), a)))))),
% 4.90/5.10 inference(unit_resolution,[status(thm)],[6823, 6811])).
% 4.90/5.10 tff(6825,plain,
% 4.90/5.10 (((~(mult(mult(mult(mult(a, c), mult(b, a)), a), mult(a, c)) = mult(mult(mult(a, c), mult(b, a)), mult(a, mult(a, c))))) | (~(mult(mult(mult(mult(a, c), mult(b, a)), mult(a, c)), a) = mult(mult(mult(a, c), mult(b, a)), mult(mult(a, c), a))))) | (mult(mult(mult(mult(a, c), mult(b, a)), mult(a, c)), a) = mult(mult(mult(a, c), mult(b, a)), mult(mult(a, c), a)))),
% 4.90/5.10 inference(tautology,[status(thm)],[])).
% 4.90/5.10 tff(6826,plain,
% 4.90/5.10 (mult(mult(mult(mult(a, c), mult(b, a)), mult(a, c)), a) = mult(mult(mult(a, c), mult(b, a)), mult(mult(a, c), a))),
% 4.90/5.10 inference(unit_resolution,[status(thm)],[6825, 6824])).
% 4.90/5.10 tff(6827,plain,
% 4.90/5.10 (mult(mult(mult(a, c), mult(b, a)), mult(mult(a, c), a)) = mult(mult(mult(mult(a, c), mult(b, a)), mult(a, c)), a)),
% 4.90/5.10 inference(symmetry,[status(thm)],[6826])).
% 4.90/5.10 tff(6828,plain,
% 4.90/5.10 ((~![C: $i, B: $i, A: $i] : (mult(mult(mult(A, B), C), B) = mult(A, mult(mult(B, C), B)))) | (mult(mult(mult(mult(mult(a, c), mult(b, a)), a), c), a) = mult(mult(mult(a, c), mult(b, a)), mult(mult(a, c), a)))),
% 4.90/5.10 inference(quant_inst,[status(thm)],[])).
% 4.90/5.10 tff(6829,plain,
% 4.90/5.10 (mult(mult(mult(mult(mult(a, c), mult(b, a)), a), c), a) = mult(mult(mult(a, c), mult(b, a)), mult(mult(a, c), a))),
% 4.90/5.10 inference(unit_resolution,[status(thm)],[6828, 860])).
% 4.90/5.10 tff(6830,plain,
% 4.90/5.10 (mult(mult(mult(a, c), mult(b, a)), a) = mult(mult(mult(mult(a, c), a), b), a)),
% 4.90/5.10 inference(symmetry,[status(thm)],[1529])).
% 4.90/5.10 tff(6831,plain,
% 4.90/5.10 (mult(mult(mult(a, c), mult(b, a)), a) = mult(mult(a, c), mult(mult(a, b), a))),
% 4.90/5.10 inference(transitivity,[status(thm)],[6830, 1531])).
% 4.90/5.10 tff(6832,plain,
% 4.90/5.10 (mult(mult(mult(mult(a, c), mult(b, a)), a), c) = mult(mult(mult(a, c), mult(mult(a, b), a)), c)),
% 4.90/5.10 inference(monotonicity,[status(thm)],[6831])).
% 4.90/5.10 tff(6833,plain,
% 4.90/5.10 (mult(mult(mult(a, c), mult(mult(a, b), a)), c) = mult(mult(mult(mult(a, c), mult(b, a)), a), c)),
% 4.90/5.10 inference(symmetry,[status(thm)],[6832])).
% 4.90/5.10 tff(6834,plain,
% 4.90/5.10 (mult(mult(mult(mult(a, c), mult(mult(a, b), a)), c), a) = mult(mult(mult(mult(mult(a, c), mult(b, a)), a), c), a)),
% 4.90/5.10 inference(monotonicity,[status(thm)],[6833])).
% 4.90/5.10 tff(6835,plain,
% 4.90/5.10 (mult(mult(mult(mult(a, c), mult(mult(a, b), a)), c), a) = mult(mult(mult(mult(a, c), mult(b, a)), mult(a, c)), a)),
% 4.90/5.10 inference(transitivity,[status(thm)],[6834, 6829, 6827])).
% 4.90/5.10 tff(6836,plain,
% 4.90/5.10 (rd(mult(mult(mult(mult(a, c), mult(mult(a, b), a)), c), a), a) = rd(mult(mult(mult(mult(a, c), mult(b, a)), mult(a, c)), a), a)),
% 4.90/5.10 inference(monotonicity,[status(thm)],[6835])).
% 4.90/5.10 tff(6837,plain,
% 4.90/5.10 ((~![B: $i, A: $i] : (rd(mult(A, B), B) = A)) | (rd(mult(mult(mult(mult(a, c), mult(mult(a, b), a)), c), a), a) = mult(mult(mult(a, c), mult(mult(a, b), a)), c))),
% 4.90/5.10 inference(quant_inst,[status(thm)],[])).
% 4.90/5.10 tff(6838,plain,
% 4.90/5.10 (rd(mult(mult(mult(mult(a, c), mult(mult(a, b), a)), c), a), a) = mult(mult(mult(a, c), mult(mult(a, b), a)), c)),
% 4.90/5.10 inference(unit_resolution,[status(thm)],[6837, 72])).
% 4.90/5.10 tff(6839,plain,
% 4.90/5.10 (mult(mult(mult(a, c), mult(mult(a, b), a)), c) = rd(mult(mult(mult(mult(a, c), mult(mult(a, b), a)), c), a), a)),
% 4.90/5.10 inference(symmetry,[status(thm)],[6838])).
% 4.90/5.10 tff(6840,plain,
% 4.90/5.10 (mult(mult(mult(mult(a, c), mult(b, a)), a), c) = mult(mult(mult(a, c), mult(b, a)), mult(a, c))),
% 4.90/5.10 inference(transitivity,[status(thm)],[6832, 6839, 6836, 6768])).
% 4.90/5.10 tff(6841,plain,
% 4.90/5.10 ((mult(mult(mult(mult(a, c), mult(b, a)), mult(a, c)), mult(b, a)) = mult(mult(mult(mult(mult(a, c), mult(b, a)), mult(a, c)), a), b)) <=> (mult(mult(mult(mult(mult(a, c), mult(b, a)), mult(a, c)), a), b) = mult(mult(mult(mult(a, c), mult(b, a)), mult(a, c)), mult(b, a)))),
% 4.90/5.10 inference(commutativity,[status(thm)],[])).
% 4.90/5.10 tff(6842,assumption,(mult(mult(mult(mult(a, c), mult(b, a)), a), c) = mult(mult(mult(a, c), mult(b, a)), mult(a, c))), introduced(assumption)).
% 4.90/5.10 tff(6843,plain,
% 4.90/5.10 (mult(mult(a, c), mult(b, a)) = mult(mult(mult(a, c), a), b)),
% 4.90/5.10 inference(symmetry,[status(thm)],[1526])).
% 4.90/5.10 tff(6844,plain,
% 4.90/5.10 (mult(mult(mult(a, c), mult(b, a)), a) = mult(mult(mult(mult(a, c), a), b), a)),
% 4.90/5.10 inference(monotonicity,[status(thm)],[6843])).
% 4.90/5.10 tff(6845,plain,
% 4.90/5.10 (mult(mult(mult(mult(a, c), a), b), a) = mult(mult(mult(a, c), mult(b, a)), a)),
% 4.90/5.10 inference(symmetry,[status(thm)],[6844])).
% 4.90/5.10 tff(6846,plain,
% 4.90/5.10 (mult(mult(a, c), mult(mult(a, b), a)) = mult(mult(mult(a, c), mult(b, a)), a)),
% 4.90/5.10 inference(transitivity,[status(thm)],[1532, 6845])).
% 4.90/5.10 tff(6847,plain,
% 4.90/5.10 (mult(mult(mult(a, c), mult(mult(a, b), a)), c) = mult(mult(mult(mult(a, c), mult(b, a)), a), c)),
% 4.90/5.10 inference(monotonicity,[status(thm)],[6846])).
% 4.90/5.10 tff(6848,assumption,(~(mult(mult(mult(a, c), a), mult(a, b)) = mult(mult(a, c), mult(mult(a, b), a)))), introduced(assumption)).
% 4.90/5.10 tff(6849,plain,
% 4.90/5.10 (((~(mult(mult(mult(a, c), mult(a, b)), a) = mult(mult(a, c), mult(a, mult(a, b))))) | (~(mult(mult(mult(a, c), a), mult(a, b)) = mult(mult(a, c), mult(mult(a, b), a))))) | (mult(mult(mult(a, c), a), mult(a, b)) = mult(mult(a, c), mult(mult(a, b), a)))),
% 4.90/5.10 inference(tautology,[status(thm)],[])).
% 4.90/5.10 tff(6850,plain,
% 4.90/5.10 ((~(mult(mult(mult(a, c), mult(a, b)), a) = mult(mult(a, c), mult(a, mult(a, b))))) | (~(mult(mult(mult(a, c), a), mult(a, b)) = mult(mult(a, c), mult(mult(a, b), a))))),
% 4.90/5.10 inference(unit_resolution,[status(thm)],[6849, 6848])).
% 4.90/5.10 tff(6851,assumption,((~(mult(mult(mult(a, c), a), mult(a, b)) = mult(mult(a, c), mult(a, mult(a, b))))) | (~(mult(mult(mult(a, c), mult(a, b)), a) = mult(mult(a, c), mult(mult(a, b), a))))), introduced(assumption)).
% 4.90/5.10 tff(6852,plain,
% 4.90/5.10 ($false),
% 4.90/5.10 inference(unit_resolution,[status(thm)],[1558, 30, 6851, 6850])).
% 4.90/5.10 tff(6853,plain,((~((~(mult(mult(mult(a, c), a), mult(a, b)) = mult(mult(a, c), mult(a, mult(a, b))))) | (~(mult(mult(mult(a, c), mult(a, b)), a) = mult(mult(a, c), mult(mult(a, b), a)))))) | (mult(mult(mult(a, c), a), mult(a, b)) = mult(mult(a, c), mult(mult(a, b), a)))), inference(lemma,lemma(discharge,[]))).
% 4.90/5.10 tff(6854,plain,
% 4.90/5.10 (mult(mult(mult(a, c), a), mult(a, b)) = mult(mult(a, c), mult(mult(a, b), a))),
% 4.90/5.10 inference(unit_resolution,[status(thm)],[6853, 6010])).
% 4.90/5.10 tff(6855,plain,
% 4.90/5.10 (mult(mult(mult(mult(a, c), a), mult(a, b)), c) = mult(mult(mult(a, c), mult(mult(a, b), a)), c)),
% 4.90/5.10 inference(monotonicity,[status(thm)],[6854])).
% 4.90/5.10 tff(6856,plain,
% 4.90/5.10 (mult(mult(mult(mult(a, c), a), mult(a, b)), c) = mult(mult(mult(a, c), mult(b, a)), mult(a, c))),
% 4.90/5.10 inference(transitivity,[status(thm)],[6855, 6847, 6842])).
% 4.90/5.10 tff(6857,plain,
% 4.90/5.10 (mult(mult(mult(mult(mult(a, c), a), mult(a, b)), c), mult(a, b)) = mult(mult(mult(mult(a, c), mult(b, a)), mult(a, c)), mult(a, b))),
% 4.90/5.10 inference(monotonicity,[status(thm)],[6856])).
% 4.90/5.10 tff(6858,plain,
% 4.90/5.10 ((~![C: $i, B: $i, A: $i] : (mult(mult(mult(A, B), C), B) = mult(A, mult(mult(B, C), B)))) | (mult(mult(mult(mult(mult(a, c), a), mult(a, b)), c), mult(a, b)) = mult(mult(mult(a, c), a), mult(mult(mult(a, b), c), mult(a, b))))),
% 4.90/5.10 inference(quant_inst,[status(thm)],[])).
% 4.90/5.10 tff(6859,plain,
% 4.90/5.10 (mult(mult(mult(mult(mult(a, c), a), mult(a, b)), c), mult(a, b)) = mult(mult(mult(a, c), a), mult(mult(mult(a, b), c), mult(a, b)))),
% 4.90/5.10 inference(unit_resolution,[status(thm)],[6858, 860])).
% 4.90/5.10 tff(6860,plain,
% 4.90/5.10 (mult(mult(mult(a, c), a), mult(mult(mult(a, b), c), mult(a, b))) = mult(mult(mult(mult(mult(a, c), a), mult(a, b)), c), mult(a, b))),
% 4.90/5.10 inference(symmetry,[status(thm)],[6859])).
% 4.90/5.10 tff(6861,plain,
% 4.90/5.10 (mult(mult(a, b), c) = mult(mult(b, c), a)),
% 4.90/5.10 inference(transitivity,[status(thm)],[106, 803, 6753, 4716])).
% 4.90/5.10 tff(6862,plain,
% 4.90/5.10 (mult(mult(mult(a, b), c), mult(a, b)) = mult(mult(mult(b, c), a), mult(a, b))),
% 4.90/5.10 inference(monotonicity,[status(thm)],[6861])).
% 4.90/5.10 tff(6863,plain,
% 4.90/5.10 (mult(mult(mult(b, c), a), mult(a, b)) = mult(mult(mult(a, b), c), mult(a, b))),
% 4.90/5.10 inference(symmetry,[status(thm)],[6862])).
% 4.90/5.10 tff(6864,plain,
% 4.90/5.10 ((~![B: $i, A: $i] : (ld(A, mult(A, B)) = B)) | (ld(a, mult(a, mult(mult(mult(b, c), a), mult(a, b)))) = mult(mult(mult(b, c), a), mult(a, b)))),
% 4.90/5.10 inference(quant_inst,[status(thm)],[])).
% 4.90/5.10 tff(6865,plain,
% 4.90/5.10 (ld(a, mult(a, mult(mult(mult(b, c), a), mult(a, b)))) = mult(mult(mult(b, c), a), mult(a, b))),
% 4.90/5.10 inference(unit_resolution,[status(thm)],[6864, 9])).
% 4.90/5.10 tff(6866,plain,
% 4.90/5.10 (mult(a, mult(mult(mult(b, c), a), mult(a, b))) = mult(a, mult(mult(mult(a, b), c), mult(a, b)))),
% 4.90/5.10 inference(monotonicity,[status(thm)],[6863])).
% 4.90/5.10 tff(6867,plain,
% 4.90/5.10 (mult(a, mult(mult(mult(a, b), c), mult(a, b))) = mult(a, mult(mult(mult(b, c), a), mult(a, b)))),
% 4.90/5.10 inference(symmetry,[status(thm)],[6866])).
% 4.90/5.10 tff(6868,plain,
% 4.90/5.10 (mult(mult(a, mult(a, b)), c) = mult(mult(mult(a, b), c), a)),
% 4.90/5.10 inference(transitivity,[status(thm)],[269, 5292, 708, 108])).
% 4.90/5.10 tff(6869,plain,
% 4.90/5.10 (mult(mult(mult(a, mult(a, b)), c), mult(a, b)) = mult(mult(mult(mult(a, b), c), a), mult(a, b))),
% 4.90/5.10 inference(monotonicity,[status(thm)],[6868])).
% 4.90/5.10 tff(6870,plain,
% 4.90/5.10 (mult(mult(mult(mult(a, b), c), a), mult(a, b)) = mult(mult(mult(a, mult(a, b)), c), mult(a, b))),
% 4.90/5.10 inference(symmetry,[status(thm)],[6869])).
% 4.90/5.10 tff(6871,plain,
% 4.90/5.10 (mult(mult(mult(a, b), c), a) = mult(mult(mult(b, c), a), a)),
% 4.90/5.10 inference(transitivity,[status(thm)],[107, 6757])).
% 4.90/5.10 tff(6872,plain,
% 4.90/5.10 (mult(mult(mult(mult(a, b), c), a), mult(a, b)) = mult(mult(mult(mult(b, c), a), a), mult(a, b))),
% 4.90/5.10 inference(monotonicity,[status(thm)],[6871])).
% 4.90/5.10 tff(6873,plain,
% 4.90/5.10 (mult(mult(mult(mult(b, c), a), a), mult(a, b)) = mult(mult(mult(mult(a, b), c), a), mult(a, b))),
% 4.90/5.10 inference(symmetry,[status(thm)],[6872])).
% 4.90/5.10 tff(6874,plain,
% 4.90/5.10 (mult(mult(mult(b, c), a), mult(mult(a, b), a)) = mult(mult(mult(mult(b, c), a), a), mult(a, b))),
% 4.90/5.10 inference(symmetry,[status(thm)],[6666])).
% 4.90/5.10 tff(6875,plain,
% 4.90/5.10 (mult(mult(mult(b, c), a), a) = mult(mult(mult(a, b), c), a)),
% 4.90/5.10 inference(transitivity,[status(thm)],[6756, 108])).
% 4.90/5.10 tff(6876,plain,
% 4.90/5.10 (mult(mult(mult(mult(b, c), a), a), b) = mult(mult(mult(mult(a, b), c), a), b)),
% 4.90/5.10 inference(monotonicity,[status(thm)],[6875])).
% 4.90/5.10 tff(6877,plain,
% 4.90/5.10 (mult(mult(mult(mult(mult(b, c), a), a), b), a) = mult(mult(mult(mult(mult(a, b), c), a), b), a)),
% 4.90/5.10 inference(monotonicity,[status(thm)],[6876])).
% 4.90/5.10 tff(6878,plain,
% 4.90/5.10 (mult(mult(mult(mult(mult(a, b), c), a), b), a) = mult(mult(mult(mult(mult(b, c), a), a), b), a)),
% 4.90/5.10 inference(symmetry,[status(thm)],[6877])).
% 4.90/5.10 tff(6879,plain,
% 4.90/5.10 (mult(mult(mult(a, a), b), c) = mult(mult(mult(a, b), c), a)),
% 4.90/5.10 inference(transitivity,[status(thm)],[5347, 269, 5292, 708, 108])).
% 4.90/5.10 tff(6880,plain,
% 4.90/5.10 (mult(mult(mult(mult(a, a), b), c), b) = mult(mult(mult(mult(a, b), c), a), b)),
% 4.90/5.10 inference(monotonicity,[status(thm)],[6879])).
% 4.90/5.10 tff(6881,plain,
% 4.90/5.10 (mult(mult(a, a), mult(mult(b, c), b)) = mult(mult(mult(mult(a, b), c), a), b)),
% 4.90/5.10 inference(transitivity,[status(thm)],[6292, 6880])).
% 4.90/5.10 tff(6882,plain,
% 4.90/5.10 (mult(mult(mult(a, a), mult(mult(b, c), b)), a) = mult(mult(mult(mult(mult(a, b), c), a), b), a)),
% 4.90/5.10 inference(monotonicity,[status(thm)],[6881])).
% 4.90/5.10 tff(6883,plain,
% 4.90/5.10 ((~![C: $i, B: $i, A: $i] : (mult(mult(mult(A, B), C), B) = mult(A, mult(mult(B, C), B)))) | (mult(mult(mult(a, a), mult(mult(b, c), b)), a) = mult(a, mult(mult(a, mult(mult(b, c), b)), a)))),
% 4.90/5.10 inference(quant_inst,[status(thm)],[])).
% 4.90/5.10 tff(6884,plain,
% 4.90/5.10 (mult(mult(mult(a, a), mult(mult(b, c), b)), a) = mult(a, mult(mult(a, mult(mult(b, c), b)), a))),
% 4.90/5.10 inference(unit_resolution,[status(thm)],[6883, 860])).
% 4.90/5.10 tff(6885,plain,
% 4.90/5.10 (mult(a, mult(mult(a, mult(mult(b, c), b)), a)) = mult(mult(mult(a, a), mult(mult(b, c), b)), a)),
% 4.90/5.10 inference(symmetry,[status(thm)],[6884])).
% 4.90/5.10 tff(6886,plain,
% 4.90/5.10 (mult(mult(mult(a, b), c), b) = mult(mult(mult(b, c), a), b)),
% 4.90/5.10 inference(monotonicity,[status(thm)],[6861])).
% 4.90/5.10 tff(6887,plain,
% 4.90/5.10 (mult(a, mult(mult(b, c), b)) = mult(mult(mult(b, c), a), b)),
% 4.90/5.10 inference(transitivity,[status(thm)],[6284, 6886])).
% 4.90/5.10 tff(6888,plain,
% 4.90/5.10 (mult(mult(a, mult(mult(b, c), b)), a) = mult(mult(mult(mult(b, c), a), b), a)),
% 4.90/5.10 inference(monotonicity,[status(thm)],[6887])).
% 4.90/5.10 tff(6889,plain,
% 4.90/5.10 (mult(mult(mult(mult(b, c), a), b), a) = mult(mult(a, mult(mult(b, c), b)), a)),
% 4.90/5.10 inference(symmetry,[status(thm)],[6888])).
% 4.90/5.10 tff(6890,plain,
% 4.90/5.10 (mult(a, mult(mult(mult(mult(b, c), a), b), a)) = mult(a, mult(mult(a, mult(mult(b, c), b)), a))),
% 4.90/5.10 inference(monotonicity,[status(thm)],[6889])).
% 4.90/5.10 tff(6891,plain,
% 4.90/5.10 (mult(a, mult(mult(mult(mult(b, c), a), b), a)) = mult(a, mult(mult(mult(b, c), a), mult(a, b)))),
% 4.90/5.10 inference(transitivity,[status(thm)],[6890, 6885, 6882, 6878, 6048, 6874, 6873, 6870, 6127, 6867])).
% 4.90/5.10 tff(6892,plain,
% 4.90/5.10 (ld(a, mult(a, mult(mult(mult(mult(b, c), a), b), a))) = ld(a, mult(a, mult(mult(mult(b, c), a), mult(a, b))))),
% 4.90/5.10 inference(monotonicity,[status(thm)],[6891])).
% 4.90/5.10 tff(6893,plain,
% 4.90/5.10 ((~![B: $i, A: $i] : (ld(A, mult(A, B)) = B)) | (ld(a, mult(a, mult(mult(mult(mult(b, c), a), b), a))) = mult(mult(mult(mult(b, c), a), b), a))),
% 4.90/5.10 inference(quant_inst,[status(thm)],[])).
% 4.90/5.10 tff(6894,plain,
% 4.90/5.10 (ld(a, mult(a, mult(mult(mult(mult(b, c), a), b), a))) = mult(mult(mult(mult(b, c), a), b), a)),
% 4.90/5.10 inference(unit_resolution,[status(thm)],[6893, 9])).
% 4.90/5.10 tff(6895,plain,
% 4.90/5.10 (mult(mult(mult(mult(b, c), a), b), a) = ld(a, mult(a, mult(mult(mult(mult(b, c), a), b), a)))),
% 4.90/5.10 inference(symmetry,[status(thm)],[6894])).
% 4.90/5.10 tff(6896,plain,
% 4.90/5.10 (mult(mult(mult(mult(b, c), a), b), a) = mult(mult(mult(a, b), c), mult(a, b))),
% 4.90/5.10 inference(transitivity,[status(thm)],[6895, 6892, 6865, 6863])).
% 4.90/5.10 tff(6897,plain,
% 4.90/5.10 (mult(mult(mult(a, c), a), mult(mult(mult(mult(b, c), a), b), a)) = mult(mult(mult(a, c), a), mult(mult(mult(a, b), c), mult(a, b)))),
% 4.90/5.10 inference(monotonicity,[status(thm)],[6896])).
% 4.90/5.10 tff(6898,plain,
% 4.90/5.10 (mult(mult(mult(a, c), a), mult(mult(mult(mult(b, c), a), b), a)) = mult(mult(mult(mult(mult(a, c), mult(b, a)), mult(a, c)), a), b)),
% 4.90/5.10 inference(transitivity,[status(thm)],[6897, 6860, 6857, 6775])).
% 4.90/5.10 tff(6899,plain,
% 4.90/5.10 (mult(mult(mult(mult(a, c), a), b), mult(a, c)) = mult(mult(mult(a, c), mult(b, a)), mult(a, c))),
% 4.90/5.10 inference(monotonicity,[status(thm)],[1526])).
% 4.90/5.10 tff(6900,plain,
% 4.90/5.10 (mult(mult(mult(mult(mult(a, c), a), b), mult(a, c)), b) = mult(mult(mult(mult(a, c), mult(b, a)), mult(a, c)), b)),
% 4.90/5.10 inference(monotonicity,[status(thm)],[6899])).
% 4.90/5.10 tff(6901,plain,
% 4.90/5.10 (mult(mult(mult(a, c), a), mult(mult(mult(b, c), a), b)) = mult(mult(mult(mult(a, c), mult(b, a)), mult(a, c)), b)),
% 4.90/5.10 inference(transitivity,[status(thm)],[6791, 6790, 6900])).
% 4.90/5.10 tff(6902,plain,
% 4.90/5.10 (mult(mult(mult(mult(a, c), a), mult(mult(mult(b, c), a), b)), a) = mult(mult(mult(mult(mult(a, c), mult(b, a)), mult(a, c)), b), a)),
% 4.90/5.10 inference(monotonicity,[status(thm)],[6901])).
% 4.90/5.10 tff(6903,plain,
% 4.90/5.10 (mult(mult(mult(mult(a, c), a), mult(mult(mult(b, c), a), b)), a) = mult(mult(mult(mult(a, c), mult(b, a)), mult(a, c)), mult(b, a))),
% 4.90/5.10 inference(transitivity,[status(thm)],[6902, 6785])).
% 4.90/5.10 tff(6904,plain,
% 4.90/5.10 ((mult(mult(mult(mult(a, c), a), mult(mult(mult(b, c), a), b)), a) = mult(mult(mult(a, c), a), mult(mult(mult(mult(b, c), a), b), a))) <=> (mult(mult(mult(mult(a, c), mult(b, a)), mult(a, c)), mult(b, a)) = mult(mult(mult(mult(mult(a, c), mult(b, a)), mult(a, c)), a), b))),
% 4.90/5.10 inference(monotonicity,[status(thm)],[6903, 6898])).
% 4.90/5.10 tff(6905,plain,
% 4.90/5.10 ((mult(mult(mult(mult(a, c), a), mult(mult(mult(b, c), a), b)), a) = mult(mult(mult(a, c), a), mult(mult(mult(mult(b, c), a), b), a))) <=> (mult(mult(mult(mult(mult(a, c), mult(b, a)), mult(a, c)), a), b) = mult(mult(mult(mult(a, c), mult(b, a)), mult(a, c)), mult(b, a)))),
% 4.90/5.10 inference(transitivity,[status(thm)],[6904, 6841])).
% 4.90/5.10 tff(6906,plain,
% 4.90/5.10 ((mult(mult(mult(mult(mult(a, c), mult(b, a)), mult(a, c)), a), b) = mult(mult(mult(mult(a, c), mult(b, a)), mult(a, c)), mult(b, a))) <=> (mult(mult(mult(mult(a, c), a), mult(mult(mult(b, c), a), b)), a) = mult(mult(mult(a, c), a), mult(mult(mult(mult(b, c), a), b), a)))),
% 4.90/5.10 inference(symmetry,[status(thm)],[6905])).
% 4.90/5.10 tff(6907,plain,
% 4.90/5.10 ((~(mult(mult(mult(mult(mult(a, c), mult(b, a)), mult(a, c)), a), b) = mult(mult(mult(mult(a, c), mult(b, a)), mult(a, c)), mult(b, a)))) <=> (~(mult(mult(mult(mult(a, c), a), mult(mult(mult(b, c), a), b)), a) = mult(mult(mult(a, c), a), mult(mult(mult(mult(b, c), a), b), a))))),
% 4.90/5.11 inference(monotonicity,[status(thm)],[6906])).
% 4.90/5.11 tff(6908,plain,
% 4.90/5.11 (~(mult(mult(mult(mult(mult(a, c), mult(b, a)), mult(a, c)), a), b) = mult(mult(mult(mult(a, c), mult(b, a)), mult(a, c)), mult(b, a)))),
% 4.90/5.11 inference(unit_resolution,[status(thm)],[6783, 6774, 5715])).
% 4.90/5.11 tff(6909,plain,
% 4.90/5.11 (~(mult(mult(mult(mult(a, c), a), mult(mult(mult(b, c), a), b)), a) = mult(mult(mult(a, c), a), mult(mult(mult(mult(b, c), a), b), a)))),
% 4.90/5.11 inference(modus_ponens,[status(thm)],[6908, 6907])).
% 4.90/5.11 tff(6910,plain,
% 4.90/5.11 (((~(mult(mult(mult(mult(a, c), a), a), mult(mult(mult(b, c), a), b)) = mult(mult(mult(a, c), a), mult(a, mult(mult(mult(b, c), a), b))))) | (~(mult(mult(mult(mult(a, c), a), mult(mult(mult(b, c), a), b)), a) = mult(mult(mult(a, c), a), mult(mult(mult(mult(b, c), a), b), a))))) | (mult(mult(mult(mult(a, c), a), mult(mult(mult(b, c), a), b)), a) = mult(mult(mult(a, c), a), mult(mult(mult(mult(b, c), a), b), a)))),
% 4.90/5.11 inference(tautology,[status(thm)],[])).
% 4.90/5.11 tff(6911,plain,
% 4.90/5.11 ((~(mult(mult(mult(mult(a, c), a), a), mult(mult(mult(b, c), a), b)) = mult(mult(mult(a, c), a), mult(a, mult(mult(mult(b, c), a), b))))) | (~(mult(mult(mult(mult(a, c), a), mult(mult(mult(b, c), a), b)), a) = mult(mult(mult(a, c), a), mult(mult(mult(mult(b, c), a), b), a))))),
% 4.90/5.11 inference(unit_resolution,[status(thm)],[6910, 6909])).
% 4.90/5.11 tff(6912,plain,
% 4.90/5.11 (((~![X0: $i, X1: $i, X2: $i] : ((~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X2, X1)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X1, X2)))))) | (~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X1, X2)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X2, X1)))))))) | ((~((~(mult(mult(mult(mult(a, c), a), a), mult(mult(mult(b, c), a), b)) = mult(mult(mult(a, c), a), mult(mult(mult(mult(b, c), a), b), a)))) | (~(mult(mult(mult(mult(a, c), a), mult(mult(mult(b, c), a), b)), a) = mult(mult(mult(a, c), a), mult(a, mult(mult(mult(b, c), a), b))))))) | (~((~(mult(mult(mult(mult(a, c), a), a), mult(mult(mult(b, c), a), b)) = mult(mult(mult(a, c), a), mult(a, mult(mult(mult(b, c), a), b))))) | (~(mult(mult(mult(mult(a, c), a), mult(mult(mult(b, c), a), b)), a) = mult(mult(mult(a, c), a), mult(mult(mult(mult(b, c), a), b), a)))))))) <=> ((~![X0: $i, X1: $i, X2: $i] : ((~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X2, X1)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X1, X2)))))) | (~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X1, X2)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X2, X1)))))))) | (~((~(mult(mult(mult(mult(a, c), a), a), mult(mult(mult(b, c), a), b)) = mult(mult(mult(a, c), a), mult(mult(mult(mult(b, c), a), b), a)))) | (~(mult(mult(mult(mult(a, c), a), mult(mult(mult(b, c), a), b)), a) = mult(mult(mult(a, c), a), mult(a, mult(mult(mult(b, c), a), b))))))) | (~((~(mult(mult(mult(mult(a, c), a), a), mult(mult(mult(b, c), a), b)) = mult(mult(mult(a, c), a), mult(a, mult(mult(mult(b, c), a), b))))) | (~(mult(mult(mult(mult(a, c), a), mult(mult(mult(b, c), a), b)), a) = mult(mult(mult(a, c), a), mult(mult(mult(mult(b, c), a), b), a)))))))),
% 4.90/5.11 inference(rewrite,[status(thm)],[])).
% 4.90/5.11 tff(6913,plain,
% 4.90/5.11 ((~![X0: $i, X1: $i, X2: $i] : ((~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X2, X1)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X1, X2)))))) | (~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X1, X2)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X2, X1)))))))) | ((~((~(mult(mult(mult(mult(a, c), a), a), mult(mult(mult(b, c), a), b)) = mult(mult(mult(a, c), a), mult(mult(mult(mult(b, c), a), b), a)))) | (~(mult(mult(mult(mult(a, c), a), mult(mult(mult(b, c), a), b)), a) = mult(mult(mult(a, c), a), mult(a, mult(mult(mult(b, c), a), b))))))) | (~((~(mult(mult(mult(mult(a, c), a), a), mult(mult(mult(b, c), a), b)) = mult(mult(mult(a, c), a), mult(a, mult(mult(mult(b, c), a), b))))) | (~(mult(mult(mult(mult(a, c), a), mult(mult(mult(b, c), a), b)), a) = mult(mult(mult(a, c), a), mult(mult(mult(mult(b, c), a), b), a)))))))),
% 4.90/5.11 inference(quant_inst,[status(thm)],[])).
% 4.90/5.11 tff(6914,plain,
% 4.90/5.11 ((~![X0: $i, X1: $i, X2: $i] : ((~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X2, X1)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X1, X2)))))) | (~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X1, X2)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X2, X1)))))))) | (~((~(mult(mult(mult(mult(a, c), a), a), mult(mult(mult(b, c), a), b)) = mult(mult(mult(a, c), a), mult(mult(mult(mult(b, c), a), b), a)))) | (~(mult(mult(mult(mult(a, c), a), mult(mult(mult(b, c), a), b)), a) = mult(mult(mult(a, c), a), mult(a, mult(mult(mult(b, c), a), b))))))) | (~((~(mult(mult(mult(mult(a, c), a), a), mult(mult(mult(b, c), a), b)) = mult(mult(mult(a, c), a), mult(a, mult(mult(mult(b, c), a), b))))) | (~(mult(mult(mult(mult(a, c), a), mult(mult(mult(b, c), a), b)), a) = mult(mult(mult(a, c), a), mult(mult(mult(mult(b, c), a), b), a))))))),
% 4.90/5.11 inference(modus_ponens,[status(thm)],[6913, 6912])).
% 4.90/5.11 tff(6915,plain,
% 4.90/5.11 ((~((~(mult(mult(mult(mult(a, c), a), a), mult(mult(mult(b, c), a), b)) = mult(mult(mult(a, c), a), mult(mult(mult(mult(b, c), a), b), a)))) | (~(mult(mult(mult(mult(a, c), a), mult(mult(mult(b, c), a), b)), a) = mult(mult(mult(a, c), a), mult(a, mult(mult(mult(b, c), a), b))))))) | (~((~(mult(mult(mult(mult(a, c), a), a), mult(mult(mult(b, c), a), b)) = mult(mult(mult(a, c), a), mult(a, mult(mult(mult(b, c), a), b))))) | (~(mult(mult(mult(mult(a, c), a), mult(mult(mult(b, c), a), b)), a) = mult(mult(mult(a, c), a), mult(mult(mult(mult(b, c), a), b), a))))))),
% 4.90/5.11 inference(unit_resolution,[status(thm)],[6914, 30])).
% 4.90/5.11 tff(6916,plain,
% 4.90/5.11 (~((~(mult(mult(mult(mult(a, c), a), a), mult(mult(mult(b, c), a), b)) = mult(mult(mult(a, c), a), mult(mult(mult(mult(b, c), a), b), a)))) | (~(mult(mult(mult(mult(a, c), a), mult(mult(mult(b, c), a), b)), a) = mult(mult(mult(a, c), a), mult(a, mult(mult(mult(b, c), a), b))))))),
% 4.90/5.11 inference(unit_resolution,[status(thm)],[6915, 6911])).
% 4.90/5.11 tff(6917,plain,
% 4.90/5.11 (((~(mult(mult(mult(mult(a, c), a), a), mult(mult(mult(b, c), a), b)) = mult(mult(mult(a, c), a), mult(mult(mult(mult(b, c), a), b), a)))) | (~(mult(mult(mult(mult(a, c), a), mult(mult(mult(b, c), a), b)), a) = mult(mult(mult(a, c), a), mult(a, mult(mult(mult(b, c), a), b)))))) | (mult(mult(mult(mult(a, c), a), mult(mult(mult(b, c), a), b)), a) = mult(mult(mult(a, c), a), mult(a, mult(mult(mult(b, c), a), b))))),
% 4.90/5.11 inference(tautology,[status(thm)],[])).
% 4.90/5.11 tff(6918,plain,
% 4.90/5.11 (mult(mult(mult(mult(a, c), a), mult(mult(mult(b, c), a), b)), a) = mult(mult(mult(a, c), a), mult(a, mult(mult(mult(b, c), a), b)))),
% 4.90/5.11 inference(unit_resolution,[status(thm)],[6917, 6916])).
% 4.90/5.11 tff(6919,plain,
% 4.90/5.11 (mult(mult(mult(mult(mult(a, c), mult(b, a)), a), c), a) = mult(mult(mult(mult(a, c), mult(b, a)), mult(a, c)), a)),
% 4.90/5.11 inference(monotonicity,[status(thm)],[6842])).
% 4.90/5.11 tff(6920,plain,
% 4.90/5.11 (mult(mult(mult(mult(a, c), mult(b, a)), mult(a, c)), a) = mult(mult(mult(mult(mult(a, c), mult(b, a)), a), c), a)),
% 4.90/5.11 inference(symmetry,[status(thm)],[6919])).
% 4.90/5.11 tff(6921,plain,
% 4.90/5.11 (mult(mult(mult(mult(a, c), mult(b, a)), mult(a, c)), a) = mult(mult(mult(a, c), mult(b, a)), mult(mult(a, c), a))),
% 4.90/5.11 inference(transitivity,[status(thm)],[6920, 6829])).
% 4.90/5.11 tff(6922,plain,
% 4.90/5.11 (mult(b, mult(a, mult(c, a))) = mult(b, mult(mult(a, c), a))),
% 4.90/5.11 inference(transitivity,[status(thm)],[4680, 4657, 862])).
% 4.90/5.11 tff(6923,plain,
% 4.90/5.11 (ld(b, mult(b, mult(a, mult(c, a)))) = ld(b, mult(b, mult(mult(a, c), a)))),
% 4.90/5.11 inference(monotonicity,[status(thm)],[6922])).
% 4.90/5.11 tff(6924,plain,
% 4.90/5.11 (mult(a, mult(c, a)) = mult(mult(a, c), a)),
% 4.90/5.11 inference(transitivity,[status(thm)],[3780, 6923, 3447])).
% 4.90/5.11 tff(6925,plain,
% 4.90/5.11 (mult(mult(a, mult(c, a)), b) = mult(mult(mult(a, c), a), b)),
% 4.90/5.11 inference(monotonicity,[status(thm)],[6924])).
% 4.90/5.11 tff(6926,plain,
% 4.90/5.11 (mult(mult(a, mult(c, a)), b) = mult(mult(a, c), mult(b, a))),
% 4.90/5.11 inference(transitivity,[status(thm)],[6925, 1526])).
% 4.90/5.11 tff(6927,plain,
% 4.90/5.11 (mult(mult(mult(a, c), mult(b, a)), mult(mult(a, mult(c, a)), b)) = mult(mult(mult(a, c), mult(b, a)), mult(mult(a, c), mult(b, a)))),
% 4.90/5.11 inference(monotonicity,[status(thm)],[6926])).
% 4.90/5.11 tff(6928,plain,
% 4.90/5.11 (mult(mult(mult(a, c), mult(b, a)), mult(mult(a, c), mult(b, a))) = mult(mult(mult(a, c), mult(b, a)), mult(mult(a, mult(c, a)), b))),
% 4.90/5.11 inference(symmetry,[status(thm)],[6927])).
% 4.90/5.11 tff(6929,plain,
% 4.90/5.11 (mult(mult(mult(a, c), mult(b, a)), mult(mult(a, c), mult(b, a))) = mult(mult(mult(a, c), mult(b, a)), mult(mult(mult(a, c), a), b))),
% 4.90/5.11 inference(monotonicity,[status(thm)],[6843])).
% 4.90/5.11 tff(6930,plain,
% 4.90/5.11 (mult(mult(mult(a, c), mult(b, a)), mult(mult(mult(a, c), a), b)) = mult(mult(mult(a, c), mult(b, a)), mult(mult(a, c), mult(b, a)))),
% 4.90/5.11 inference(symmetry,[status(thm)],[6929])).
% 4.90/5.11 tff(6931,plain,
% 4.90/5.11 (mult(mult(mult(a, c), mult(b, a)), mult(mult(mult(a, c), a), b)) = mult(mult(mult(a, c), mult(b, a)), mult(mult(a, mult(c, a)), b))),
% 4.90/5.11 inference(transitivity,[status(thm)],[6930, 6928])).
% 4.90/5.11 tff(6932,plain,
% 4.90/5.11 (mult(mult(mult(a, c), mult(b, a)), mult(a, mult(c, a))) = mult(mult(mult(a, c), mult(b, a)), mult(mult(a, c), a))),
% 4.90/5.11 inference(monotonicity,[status(thm)],[6924])).
% 4.90/5.11 tff(6933,plain,
% 4.90/5.11 (mult(mult(mult(a, c), mult(b, a)), mult(mult(a, c), a)) = mult(mult(mult(a, c), mult(b, a)), mult(a, mult(c, a)))),
% 4.90/5.11 inference(symmetry,[status(thm)],[6932])).
% 4.90/5.11 tff(6934,plain,
% 4.90/5.11 (mult(mult(mult(mult(a, c), mult(b, a)), mult(mult(a, c), a)), b) = mult(mult(mult(mult(a, c), mult(b, a)), mult(a, mult(c, a))), b)),
% 4.90/5.11 inference(monotonicity,[status(thm)],[6933])).
% 4.90/5.11 tff(6935,plain,
% 4.90/5.11 ((mult(mult(mult(mult(a, c), mult(b, a)), mult(mult(a, c), a)), b) = mult(mult(mult(a, c), mult(b, a)), mult(mult(mult(a, c), a), b))) <=> (mult(mult(mult(mult(a, c), mult(b, a)), mult(a, mult(c, a))), b) = mult(mult(mult(a, c), mult(b, a)), mult(mult(a, mult(c, a)), b)))),
% 4.90/5.11 inference(monotonicity,[status(thm)],[6934, 6931])).
% 4.90/5.11 tff(6936,assumption,(mult(mult(mult(mult(a, c), mult(b, a)), mult(mult(a, c), a)), b) = mult(mult(mult(a, c), mult(b, a)), mult(mult(mult(a, c), a), b))), introduced(assumption)).
% 4.90/5.11 tff(6937,plain,
% 4.90/5.11 (mult(mult(mult(mult(a, c), mult(b, a)), mult(a, mult(c, a))), b) = mult(mult(mult(a, c), mult(b, a)), mult(mult(a, mult(c, a)), b))),
% 4.90/5.11 inference(modus_ponens,[status(thm)],[6936, 6935])).
% 4.90/5.11 tff(6938,plain,
% 4.90/5.11 ((~![B: $i, A: $i] : (ld(A, mult(A, B)) = B)) | (ld(mult(mult(a, c), mult(b, a)), mult(mult(mult(a, c), mult(b, a)), mult(mult(a, c), mult(b, a)))) = mult(mult(a, c), mult(b, a)))),
% 4.90/5.11 inference(quant_inst,[status(thm)],[])).
% 4.90/5.11 tff(6939,plain,
% 4.90/5.11 (ld(mult(mult(a, c), mult(b, a)), mult(mult(mult(a, c), mult(b, a)), mult(mult(a, c), mult(b, a)))) = mult(mult(a, c), mult(b, a))),
% 4.90/5.11 inference(unit_resolution,[status(thm)],[6938, 9])).
% 4.90/5.11 tff(6940,plain,
% 4.90/5.11 (mult(mult(a, c), mult(b, a)) = mult(mult(a, mult(c, a)), b)),
% 4.90/5.11 inference(transitivity,[status(thm)],[6843, 3817])).
% 4.90/5.11 tff(6941,plain,
% 4.90/5.11 (mult(mult(mult(a, c), mult(b, a)), mult(mult(a, c), mult(b, a))) = mult(mult(mult(a, c), mult(b, a)), mult(mult(a, mult(c, a)), b))),
% 4.90/5.11 inference(monotonicity,[status(thm)],[6940])).
% 4.90/5.11 tff(6942,plain,
% 4.90/5.11 (mult(mult(mult(a, c), mult(b, a)), mult(mult(a, mult(c, a)), b)) = mult(mult(mult(a, c), mult(b, a)), mult(mult(a, c), mult(b, a)))),
% 4.90/5.11 inference(symmetry,[status(thm)],[6941])).
% 4.90/5.11 tff(6943,assumption,(mult(mult(mult(mult(a, c), mult(b, a)), mult(a, mult(c, a))), b) = mult(mult(mult(a, c), mult(b, a)), mult(mult(a, mult(c, a)), b))), introduced(assumption)).
% 4.90/5.11 tff(6944,plain,
% 4.90/5.11 (mult(mult(mult(a, c), mult(b, a)), mult(mult(a, c), a)) = mult(mult(mult(mult(mult(a, c), mult(b, a)), a), c), a)),
% 4.90/5.11 inference(symmetry,[status(thm)],[6829])).
% 4.90/5.11 tff(6945,plain,
% 4.90/5.11 (mult(mult(mult(a, c), mult(b, a)), mult(a, mult(c, a))) = mult(mult(mult(a, c), mult(b, a)), mult(mult(a, c), a))),
% 4.90/5.11 inference(monotonicity,[status(thm)],[3781])).
% 4.90/5.11 tff(6946,plain,
% 4.90/5.11 (mult(mult(mult(a, c), mult(b, a)), mult(a, mult(c, a))) = mult(mult(mult(mult(a, c), mult(b, a)), mult(a, c)), a)),
% 4.90/5.11 inference(transitivity,[status(thm)],[6945, 6944, 6919])).
% 4.90/5.11 tff(6947,plain,
% 4.90/5.11 (mult(mult(mult(mult(a, c), mult(b, a)), mult(a, mult(c, a))), b) = mult(mult(mult(mult(mult(a, c), mult(b, a)), mult(a, c)), a), b)),
% 4.90/5.11 inference(monotonicity,[status(thm)],[6946])).
% 4.90/5.11 tff(6948,plain,
% 4.90/5.11 (mult(mult(mult(mult(mult(a, c), mult(b, a)), mult(a, c)), a), b) = mult(mult(mult(mult(a, c), mult(b, a)), mult(a, mult(c, a))), b)),
% 4.90/5.11 inference(symmetry,[status(thm)],[6947])).
% 4.90/5.11 tff(6949,assumption,(mult(mult(mult(mult(a, c), mult(b, a)), mult(a, c)), mult(a, b)) = mult(mult(mult(a, c), mult(b, a)), mult(mult(a, c), mult(a, b)))), introduced(assumption)).
% 4.90/5.11 tff(6950,plain,
% 4.90/5.11 (mult(mult(mult(a, c), mult(b, a)), mult(mult(a, c), mult(a, b))) = mult(mult(mult(mult(a, c), mult(b, a)), mult(a, c)), mult(a, b))),
% 4.90/5.11 inference(symmetry,[status(thm)],[6949])).
% 4.90/5.11 tff(6951,plain,
% 4.90/5.11 (mult(mult(mult(a, c), mult(b, a)), mult(mult(mult(a, c), b), a)) = mult(mult(mult(a, c), mult(b, a)), mult(mult(a, c), mult(a, b)))),
% 4.90/5.11 inference(monotonicity,[status(thm)],[971])).
% 4.90/5.11 tff(6952,plain,
% 4.90/5.11 (mult(mult(mult(a, c), mult(b, a)), mult(mult(mult(a, c), b), a)) = mult(mult(mult(a, c), mult(b, a)), mult(mult(a, c), mult(b, a)))),
% 4.90/5.11 inference(transitivity,[status(thm)],[6951, 6950, 6775, 6948, 6943, 6942])).
% 4.90/5.11 tff(6953,plain,
% 4.90/5.11 (ld(mult(mult(a, c), mult(b, a)), mult(mult(mult(a, c), mult(b, a)), mult(mult(mult(a, c), b), a))) = ld(mult(mult(a, c), mult(b, a)), mult(mult(mult(a, c), mult(b, a)), mult(mult(a, c), mult(b, a))))),
% 4.90/5.11 inference(monotonicity,[status(thm)],[6952])).
% 4.90/5.11 tff(6954,plain,
% 4.90/5.11 ((~![B: $i, A: $i] : (ld(A, mult(A, B)) = B)) | (ld(mult(mult(a, c), mult(b, a)), mult(mult(mult(a, c), mult(b, a)), mult(mult(mult(a, c), b), a))) = mult(mult(mult(a, c), b), a))),
% 4.90/5.11 inference(quant_inst,[status(thm)],[])).
% 4.90/5.11 tff(6955,plain,
% 4.90/5.11 (ld(mult(mult(a, c), mult(b, a)), mult(mult(mult(a, c), mult(b, a)), mult(mult(mult(a, c), b), a))) = mult(mult(mult(a, c), b), a)),
% 4.90/5.11 inference(unit_resolution,[status(thm)],[6954, 9])).
% 4.90/5.11 tff(6956,plain,
% 4.90/5.11 (mult(mult(mult(a, c), b), a) = ld(mult(mult(a, c), mult(b, a)), mult(mult(mult(a, c), mult(b, a)), mult(mult(mult(a, c), b), a)))),
% 4.90/5.11 inference(symmetry,[status(thm)],[6955])).
% 4.90/5.11 tff(6957,plain,
% 4.90/5.11 (mult(mult(mult(a, c), b), a) = mult(mult(a, c), mult(b, a))),
% 4.90/5.11 inference(transitivity,[status(thm)],[6956, 6953, 6939])).
% 4.90/5.11 tff(6958,plain,
% 4.90/5.11 ($false),
% 4.90/5.11 inference(unit_resolution,[status(thm)],[614, 6957])).
% 4.90/5.11 tff(6959,plain,((~(mult(mult(mult(mult(a, c), mult(b, a)), mult(a, c)), mult(a, b)) = mult(mult(mult(a, c), mult(b, a)), mult(mult(a, c), mult(a, b))))) | (mult(mult(mult(a, c), b), a) = mult(mult(a, c), mult(b, a))) | (~(mult(mult(mult(mult(a, c), mult(b, a)), mult(a, mult(c, a))), b) = mult(mult(mult(a, c), mult(b, a)), mult(mult(a, mult(c, a)), b)))) | (~(mult(mult(mult(mult(mult(a, c), mult(b, a)), mult(a, c)), a), b) = mult(mult(mult(mult(a, c), mult(b, a)), mult(a, c)), mult(a, b)))) | (~(mult(mult(mult(mult(a, c), mult(b, a)), a), c) = mult(mult(mult(a, c), mult(b, a)), mult(a, c)))) | (~(mult(mult(b, mult(c, a)), a) = mult(b, mult(a, mult(c, a))))) | (~(mult(mult(b, a), c) = mult(b, mult(c, a))))), inference(lemma,lemma(discharge,[]))).
% 4.90/5.11 tff(6960,plain,
% 4.90/5.11 ((~(mult(mult(mult(mult(a, c), mult(b, a)), mult(a, c)), mult(a, b)) = mult(mult(mult(a, c), mult(b, a)), mult(mult(a, c), mult(a, b))))) | (mult(mult(mult(a, c), b), a) = mult(mult(a, c), mult(b, a))) | (~(mult(mult(mult(mult(a, c), mult(b, a)), mult(a, mult(c, a))), b) = mult(mult(mult(a, c), mult(b, a)), mult(mult(a, mult(c, a)), b)))) | (~(mult(mult(mult(mult(mult(a, c), mult(b, a)), mult(a, c)), a), b) = mult(mult(mult(mult(a, c), mult(b, a)), mult(a, c)), mult(a, b)))) | (~(mult(mult(mult(mult(a, c), mult(b, a)), a), c) = mult(mult(mult(a, c), mult(b, a)), mult(a, c)))) | (~(mult(mult(b, mult(c, a)), a) = mult(b, mult(a, mult(c, a)))))),
% 4.90/5.11 inference(unit_resolution,[status(thm)],[6959, 3427])).
% 4.90/5.11 tff(6961,plain,
% 4.90/5.11 ((~(mult(mult(mult(mult(a, c), mult(b, a)), mult(a, c)), mult(a, b)) = mult(mult(mult(a, c), mult(b, a)), mult(mult(a, c), mult(a, b))))) | (mult(mult(mult(a, c), b), a) = mult(mult(a, c), mult(b, a))) | (~(mult(mult(mult(mult(a, c), mult(b, a)), mult(a, mult(c, a))), b) = mult(mult(mult(a, c), mult(b, a)), mult(mult(a, mult(c, a)), b)))) | (~(mult(mult(mult(mult(mult(a, c), mult(b, a)), mult(a, c)), a), b) = mult(mult(mult(mult(a, c), mult(b, a)), mult(a, c)), mult(a, b)))) | (~(mult(mult(mult(mult(a, c), mult(b, a)), a), c) = mult(mult(mult(a, c), mult(b, a)), mult(a, c))))),
% 4.90/5.12 inference(unit_resolution,[status(thm)],[6960, 4679])).
% 4.90/5.12 tff(6962,plain,
% 4.90/5.12 (~(mult(mult(mult(mult(a, c), mult(b, a)), mult(a, c)), mult(a, b)) = mult(mult(mult(a, c), mult(b, a)), mult(mult(a, c), mult(a, b))))),
% 4.90/5.12 inference(unit_resolution,[status(thm)],[6961, 6937, 6774, 6842, 614])).
% 4.90/5.12 tff(6963,plain,
% 4.90/5.12 (((~(mult(mult(mult(mult(a, c), mult(b, a)), mult(a, b)), mult(a, c)) = mult(mult(mult(a, c), mult(b, a)), mult(mult(a, b), mult(a, c))))) | (~(mult(mult(mult(mult(a, c), mult(b, a)), mult(a, c)), mult(a, b)) = mult(mult(mult(a, c), mult(b, a)), mult(mult(a, c), mult(a, b)))))) | (mult(mult(mult(mult(a, c), mult(b, a)), mult(a, c)), mult(a, b)) = mult(mult(mult(a, c), mult(b, a)), mult(mult(a, c), mult(a, b))))),
% 4.90/5.12 inference(tautology,[status(thm)],[])).
% 4.90/5.12 tff(6964,plain,
% 4.90/5.12 ((~(mult(mult(mult(mult(a, c), mult(b, a)), mult(a, b)), mult(a, c)) = mult(mult(mult(a, c), mult(b, a)), mult(mult(a, b), mult(a, c))))) | (~(mult(mult(mult(mult(a, c), mult(b, a)), mult(a, c)), mult(a, b)) = mult(mult(mult(a, c), mult(b, a)), mult(mult(a, c), mult(a, b)))))),
% 4.90/5.12 inference(unit_resolution,[status(thm)],[6963, 6962])).
% 4.90/5.12 tff(6965,plain,
% 4.90/5.12 (((~![X0: $i, X1: $i, X2: $i] : ((~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X2, X1)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X1, X2)))))) | (~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X1, X2)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X2, X1)))))))) | ((~((~(mult(mult(mult(mult(a, c), mult(b, a)), mult(a, b)), mult(a, c)) = mult(mult(mult(a, c), mult(b, a)), mult(mult(a, c), mult(a, b))))) | (~(mult(mult(mult(mult(a, c), mult(b, a)), mult(a, c)), mult(a, b)) = mult(mult(mult(a, c), mult(b, a)), mult(mult(a, b), mult(a, c))))))) | (~((~(mult(mult(mult(mult(a, c), mult(b, a)), mult(a, b)), mult(a, c)) = mult(mult(mult(a, c), mult(b, a)), mult(mult(a, b), mult(a, c))))) | (~(mult(mult(mult(mult(a, c), mult(b, a)), mult(a, c)), mult(a, b)) = mult(mult(mult(a, c), mult(b, a)), mult(mult(a, c), mult(a, b))))))))) <=> ((~![X0: $i, X1: $i, X2: $i] : ((~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X2, X1)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X1, X2)))))) | (~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X1, X2)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X2, X1)))))))) | (~((~(mult(mult(mult(mult(a, c), mult(b, a)), mult(a, b)), mult(a, c)) = mult(mult(mult(a, c), mult(b, a)), mult(mult(a, c), mult(a, b))))) | (~(mult(mult(mult(mult(a, c), mult(b, a)), mult(a, c)), mult(a, b)) = mult(mult(mult(a, c), mult(b, a)), mult(mult(a, b), mult(a, c))))))) | (~((~(mult(mult(mult(mult(a, c), mult(b, a)), mult(a, b)), mult(a, c)) = mult(mult(mult(a, c), mult(b, a)), mult(mult(a, b), mult(a, c))))) | (~(mult(mult(mult(mult(a, c), mult(b, a)), mult(a, c)), mult(a, b)) = mult(mult(mult(a, c), mult(b, a)), mult(mult(a, c), mult(a, b))))))))),
% 4.90/5.12 inference(rewrite,[status(thm)],[])).
% 4.90/5.12 tff(6966,plain,
% 4.90/5.12 ((~![X0: $i, X1: $i, X2: $i] : ((~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X2, X1)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X1, X2)))))) | (~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X1, X2)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X2, X1)))))))) | ((~((~(mult(mult(mult(mult(a, c), mult(b, a)), mult(a, b)), mult(a, c)) = mult(mult(mult(a, c), mult(b, a)), mult(mult(a, c), mult(a, b))))) | (~(mult(mult(mult(mult(a, c), mult(b, a)), mult(a, c)), mult(a, b)) = mult(mult(mult(a, c), mult(b, a)), mult(mult(a, b), mult(a, c))))))) | (~((~(mult(mult(mult(mult(a, c), mult(b, a)), mult(a, b)), mult(a, c)) = mult(mult(mult(a, c), mult(b, a)), mult(mult(a, b), mult(a, c))))) | (~(mult(mult(mult(mult(a, c), mult(b, a)), mult(a, c)), mult(a, b)) = mult(mult(mult(a, c), mult(b, a)), mult(mult(a, c), mult(a, b))))))))),
% 4.90/5.12 inference(quant_inst,[status(thm)],[])).
% 4.90/5.12 tff(6967,plain,
% 4.90/5.12 ((~![X0: $i, X1: $i, X2: $i] : ((~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X2, X1)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X1, X2)))))) | (~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X1, X2)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X2, X1)))))))) | (~((~(mult(mult(mult(mult(a, c), mult(b, a)), mult(a, b)), mult(a, c)) = mult(mult(mult(a, c), mult(b, a)), mult(mult(a, c), mult(a, b))))) | (~(mult(mult(mult(mult(a, c), mult(b, a)), mult(a, c)), mult(a, b)) = mult(mult(mult(a, c), mult(b, a)), mult(mult(a, b), mult(a, c))))))) | (~((~(mult(mult(mult(mult(a, c), mult(b, a)), mult(a, b)), mult(a, c)) = mult(mult(mult(a, c), mult(b, a)), mult(mult(a, b), mult(a, c))))) | (~(mult(mult(mult(mult(a, c), mult(b, a)), mult(a, c)), mult(a, b)) = mult(mult(mult(a, c), mult(b, a)), mult(mult(a, c), mult(a, b)))))))),
% 4.90/5.12 inference(modus_ponens,[status(thm)],[6966, 6965])).
% 4.90/5.12 tff(6968,plain,
% 4.90/5.12 ((~((~(mult(mult(mult(mult(a, c), mult(b, a)), mult(a, b)), mult(a, c)) = mult(mult(mult(a, c), mult(b, a)), mult(mult(a, c), mult(a, b))))) | (~(mult(mult(mult(mult(a, c), mult(b, a)), mult(a, c)), mult(a, b)) = mult(mult(mult(a, c), mult(b, a)), mult(mult(a, b), mult(a, c))))))) | (~((~(mult(mult(mult(mult(a, c), mult(b, a)), mult(a, b)), mult(a, c)) = mult(mult(mult(a, c), mult(b, a)), mult(mult(a, b), mult(a, c))))) | (~(mult(mult(mult(mult(a, c), mult(b, a)), mult(a, c)), mult(a, b)) = mult(mult(mult(a, c), mult(b, a)), mult(mult(a, c), mult(a, b)))))))),
% 4.90/5.12 inference(unit_resolution,[status(thm)],[6967, 30])).
% 4.90/5.12 tff(6969,plain,
% 4.90/5.12 (~((~(mult(mult(mult(mult(a, c), mult(b, a)), mult(a, b)), mult(a, c)) = mult(mult(mult(a, c), mult(b, a)), mult(mult(a, c), mult(a, b))))) | (~(mult(mult(mult(mult(a, c), mult(b, a)), mult(a, c)), mult(a, b)) = mult(mult(mult(a, c), mult(b, a)), mult(mult(a, b), mult(a, c))))))),
% 4.90/5.12 inference(unit_resolution,[status(thm)],[6968, 6964])).
% 4.90/5.12 tff(6970,plain,
% 4.90/5.12 (((~(mult(mult(mult(mult(a, c), mult(b, a)), mult(a, b)), mult(a, c)) = mult(mult(mult(a, c), mult(b, a)), mult(mult(a, c), mult(a, b))))) | (~(mult(mult(mult(mult(a, c), mult(b, a)), mult(a, c)), mult(a, b)) = mult(mult(mult(a, c), mult(b, a)), mult(mult(a, b), mult(a, c)))))) | (mult(mult(mult(mult(a, c), mult(b, a)), mult(a, c)), mult(a, b)) = mult(mult(mult(a, c), mult(b, a)), mult(mult(a, b), mult(a, c))))),
% 4.90/5.12 inference(tautology,[status(thm)],[])).
% 4.90/5.12 tff(6971,plain,
% 4.90/5.12 (mult(mult(mult(mult(a, c), mult(b, a)), mult(a, c)), mult(a, b)) = mult(mult(mult(a, c), mult(b, a)), mult(mult(a, b), mult(a, c)))),
% 4.90/5.12 inference(unit_resolution,[status(thm)],[6970, 6969])).
% 4.90/5.12 tff(6972,plain,
% 4.90/5.12 (mult(mult(mult(a, c), mult(b, a)), mult(a, mult(c, a))) = mult(mult(mult(mult(a, c), mult(b, a)), mult(a, c)), a)),
% 4.90/5.12 inference(transitivity,[status(thm)],[6932, 6944, 6919])).
% 4.90/5.12 tff(6973,plain,
% 4.90/5.12 (mult(mult(mult(mult(a, c), mult(b, a)), mult(a, mult(c, a))), b) = mult(mult(mult(mult(mult(a, c), mult(b, a)), mult(a, c)), a), b)),
% 4.90/5.12 inference(monotonicity,[status(thm)],[6972])).
% 4.90/5.12 tff(6974,plain,
% 4.90/5.12 (mult(mult(mult(a, c), mult(b, a)), mult(mult(mult(a, c), a), b)) = mult(mult(mult(mult(a, c), mult(b, a)), mult(mult(a, c), a)), b)),
% 4.90/5.12 inference(symmetry,[status(thm)],[6936])).
% 4.90/5.12 tff(6975,plain,
% 4.90/5.12 (mult(mult(mult(a, c), mult(b, a)), mult(mult(a, c), mult(b, a))) = mult(mult(mult(a, c), mult(b, a)), mult(mult(a, mult(c, b)), a))),
% 4.90/5.12 inference(transitivity,[status(thm)],[6929, 6974, 6934, 6973, 6774, 6971, 6751])).
% 4.90/5.12 tff(6976,plain,
% 4.90/5.12 (ld(mult(mult(a, c), mult(b, a)), mult(mult(mult(a, c), mult(b, a)), mult(mult(a, c), mult(b, a)))) = ld(mult(mult(a, c), mult(b, a)), mult(mult(mult(a, c), mult(b, a)), mult(mult(a, mult(c, b)), a)))),
% 4.90/5.12 inference(monotonicity,[status(thm)],[6975])).
% 4.90/5.12 tff(6977,plain,
% 4.90/5.12 (mult(mult(a, c), mult(b, a)) = ld(mult(mult(a, c), mult(b, a)), mult(mult(mult(a, c), mult(b, a)), mult(mult(a, c), mult(b, a))))),
% 4.90/5.12 inference(symmetry,[status(thm)],[6939])).
% 4.90/5.12 tff(6978,plain,
% 4.90/5.12 (mult(a, mult(b, mult(c, a))) = mult(mult(mult(a, b), c), a)),
% 4.90/5.12 inference(transitivity,[status(thm)],[1737, 6925, 1526, 6977, 6976, 6748, 108])).
% 4.90/5.12 tff(6979,plain,
% 4.90/5.12 ($false),
% 4.90/5.12 inference(unit_resolution,[status(thm)],[194, 6978])).
% 4.90/5.12 tff(6980,plain,((~(mult(mult(mult(mult(a, c), mult(b, a)), mult(mult(a, c), a)), b) = mult(mult(mult(a, c), mult(b, a)), mult(mult(mult(a, c), a), b)))) | (~(mult(mult(a, mult(c, a)), b) = mult(a, mult(b, mult(c, a))))) | (~(mult(mult(a, b), c) = mult(a, mult(c, b)))) | (~(mult(mult(mult(mult(mult(a, c), mult(b, a)), mult(a, c)), a), b) = mult(mult(mult(mult(a, c), mult(b, a)), mult(a, c)), mult(a, b)))) | (~(mult(mult(mult(mult(a, c), mult(b, a)), a), c) = mult(mult(mult(a, c), mult(b, a)), mult(a, c)))) | (mult(mult(mult(a, c), b), a) = mult(mult(a, c), mult(b, a)))), inference(lemma,lemma(discharge,[]))).
% 4.90/5.12 tff(6981,plain,
% 4.90/5.12 (~(mult(mult(mult(mult(a, c), mult(b, a)), mult(mult(a, c), a)), b) = mult(mult(mult(a, c), mult(b, a)), mult(mult(mult(a, c), a), b)))),
% 4.90/5.12 inference(unit_resolution,[status(thm)],[6980, 1736, 106, 6774, 6842, 614])).
% 4.90/5.12 tff(6982,plain,
% 4.90/5.12 (((~(mult(mult(mult(mult(a, c), mult(b, a)), b), mult(mult(a, c), a)) = mult(mult(mult(a, c), mult(b, a)), mult(b, mult(mult(a, c), a))))) | (~(mult(mult(mult(mult(a, c), mult(b, a)), mult(mult(a, c), a)), b) = mult(mult(mult(a, c), mult(b, a)), mult(mult(mult(a, c), a), b))))) | (mult(mult(mult(mult(a, c), mult(b, a)), mult(mult(a, c), a)), b) = mult(mult(mult(a, c), mult(b, a)), mult(mult(mult(a, c), a), b)))),
% 4.90/5.12 inference(tautology,[status(thm)],[])).
% 4.90/5.12 tff(6983,plain,
% 4.90/5.12 ((~(mult(mult(mult(mult(a, c), mult(b, a)), b), mult(mult(a, c), a)) = mult(mult(mult(a, c), mult(b, a)), mult(b, mult(mult(a, c), a))))) | (~(mult(mult(mult(mult(a, c), mult(b, a)), mult(mult(a, c), a)), b) = mult(mult(mult(a, c), mult(b, a)), mult(mult(mult(a, c), a), b))))),
% 4.90/5.12 inference(unit_resolution,[status(thm)],[6982, 6981])).
% 4.90/5.12 tff(6984,plain,
% 4.90/5.12 (((~![X0: $i, X1: $i, X2: $i] : ((~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X2, X1)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X1, X2)))))) | (~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X1, X2)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X2, X1)))))))) | ((~((~(mult(mult(mult(mult(a, c), mult(b, a)), b), mult(mult(a, c), a)) = mult(mult(mult(a, c), mult(b, a)), mult(b, mult(mult(a, c), a))))) | (~(mult(mult(mult(mult(a, c), mult(b, a)), mult(mult(a, c), a)), b) = mult(mult(mult(a, c), mult(b, a)), mult(mult(mult(a, c), a), b)))))) | (~((~(mult(mult(mult(mult(a, c), mult(b, a)), b), mult(mult(a, c), a)) = mult(mult(mult(a, c), mult(b, a)), mult(mult(mult(a, c), a), b)))) | (~(mult(mult(mult(mult(a, c), mult(b, a)), mult(mult(a, c), a)), b) = mult(mult(mult(a, c), mult(b, a)), mult(b, mult(mult(a, c), a))))))))) <=> ((~![X0: $i, X1: $i, X2: $i] : ((~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X2, X1)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X1, X2)))))) | (~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X1, X2)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X2, X1)))))))) | (~((~(mult(mult(mult(mult(a, c), mult(b, a)), b), mult(mult(a, c), a)) = mult(mult(mult(a, c), mult(b, a)), mult(b, mult(mult(a, c), a))))) | (~(mult(mult(mult(mult(a, c), mult(b, a)), mult(mult(a, c), a)), b) = mult(mult(mult(a, c), mult(b, a)), mult(mult(mult(a, c), a), b)))))) | (~((~(mult(mult(mult(mult(a, c), mult(b, a)), b), mult(mult(a, c), a)) = mult(mult(mult(a, c), mult(b, a)), mult(mult(mult(a, c), a), b)))) | (~(mult(mult(mult(mult(a, c), mult(b, a)), mult(mult(a, c), a)), b) = mult(mult(mult(a, c), mult(b, a)), mult(b, mult(mult(a, c), a))))))))),
% 4.90/5.12 inference(rewrite,[status(thm)],[])).
% 4.90/5.12 tff(6985,plain,
% 4.90/5.12 (((~((~(mult(mult(mult(mult(a, c), mult(b, a)), b), mult(mult(a, c), a)) = mult(mult(mult(a, c), mult(b, a)), mult(mult(mult(a, c), a), b)))) | (~(mult(mult(mult(mult(a, c), mult(b, a)), mult(mult(a, c), a)), b) = mult(mult(mult(a, c), mult(b, a)), mult(b, mult(mult(a, c), a))))))) | (~((~(mult(mult(mult(mult(a, c), mult(b, a)), b), mult(mult(a, c), a)) = mult(mult(mult(a, c), mult(b, a)), mult(b, mult(mult(a, c), a))))) | (~(mult(mult(mult(mult(a, c), mult(b, a)), mult(mult(a, c), a)), b) = mult(mult(mult(a, c), mult(b, a)), mult(mult(mult(a, c), a), b))))))) <=> ((~((~(mult(mult(mult(mult(a, c), mult(b, a)), b), mult(mult(a, c), a)) = mult(mult(mult(a, c), mult(b, a)), mult(b, mult(mult(a, c), a))))) | (~(mult(mult(mult(mult(a, c), mult(b, a)), mult(mult(a, c), a)), b) = mult(mult(mult(a, c), mult(b, a)), mult(mult(mult(a, c), a), b)))))) | (~((~(mult(mult(mult(mult(a, c), mult(b, a)), b), mult(mult(a, c), a)) = mult(mult(mult(a, c), mult(b, a)), mult(mult(mult(a, c), a), b)))) | (~(mult(mult(mult(mult(a, c), mult(b, a)), mult(mult(a, c), a)), b) = mult(mult(mult(a, c), mult(b, a)), mult(b, mult(mult(a, c), a))))))))),
% 4.90/5.13 inference(rewrite,[status(thm)],[])).
% 4.90/5.13 tff(6986,plain,
% 4.90/5.13 (((~![X0: $i, X1: $i, X2: $i] : ((~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X2, X1)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X1, X2)))))) | (~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X1, X2)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X2, X1)))))))) | ((~((~(mult(mult(mult(mult(a, c), mult(b, a)), b), mult(mult(a, c), a)) = mult(mult(mult(a, c), mult(b, a)), mult(mult(mult(a, c), a), b)))) | (~(mult(mult(mult(mult(a, c), mult(b, a)), mult(mult(a, c), a)), b) = mult(mult(mult(a, c), mult(b, a)), mult(b, mult(mult(a, c), a))))))) | (~((~(mult(mult(mult(mult(a, c), mult(b, a)), b), mult(mult(a, c), a)) = mult(mult(mult(a, c), mult(b, a)), mult(b, mult(mult(a, c), a))))) | (~(mult(mult(mult(mult(a, c), mult(b, a)), mult(mult(a, c), a)), b) = mult(mult(mult(a, c), mult(b, a)), mult(mult(mult(a, c), a), b)))))))) <=> ((~![X0: $i, X1: $i, X2: $i] : ((~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X2, X1)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X1, X2)))))) | (~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X1, X2)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X2, X1)))))))) | ((~((~(mult(mult(mult(mult(a, c), mult(b, a)), b), mult(mult(a, c), a)) = mult(mult(mult(a, c), mult(b, a)), mult(b, mult(mult(a, c), a))))) | (~(mult(mult(mult(mult(a, c), mult(b, a)), mult(mult(a, c), a)), b) = mult(mult(mult(a, c), mult(b, a)), mult(mult(mult(a, c), a), b)))))) | (~((~(mult(mult(mult(mult(a, c), mult(b, a)), b), mult(mult(a, c), a)) = mult(mult(mult(a, c), mult(b, a)), mult(mult(mult(a, c), a), b)))) | (~(mult(mult(mult(mult(a, c), mult(b, a)), mult(mult(a, c), a)), b) = mult(mult(mult(a, c), mult(b, a)), mult(b, mult(mult(a, c), a)))))))))),
% 4.90/5.13 inference(monotonicity,[status(thm)],[6985])).
% 4.90/5.13 tff(6987,plain,
% 4.90/5.13 (((~![X0: $i, X1: $i, X2: $i] : ((~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X2, X1)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X1, X2)))))) | (~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X1, X2)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X2, X1)))))))) | ((~((~(mult(mult(mult(mult(a, c), mult(b, a)), b), mult(mult(a, c), a)) = mult(mult(mult(a, c), mult(b, a)), mult(mult(mult(a, c), a), b)))) | (~(mult(mult(mult(mult(a, c), mult(b, a)), mult(mult(a, c), a)), b) = mult(mult(mult(a, c), mult(b, a)), mult(b, mult(mult(a, c), a))))))) | (~((~(mult(mult(mult(mult(a, c), mult(b, a)), b), mult(mult(a, c), a)) = mult(mult(mult(a, c), mult(b, a)), mult(b, mult(mult(a, c), a))))) | (~(mult(mult(mult(mult(a, c), mult(b, a)), mult(mult(a, c), a)), b) = mult(mult(mult(a, c), mult(b, a)), mult(mult(mult(a, c), a), b)))))))) <=> ((~![X0: $i, X1: $i, X2: $i] : ((~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X2, X1)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X1, X2)))))) | (~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X1, X2)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X2, X1)))))))) | (~((~(mult(mult(mult(mult(a, c), mult(b, a)), b), mult(mult(a, c), a)) = mult(mult(mult(a, c), mult(b, a)), mult(b, mult(mult(a, c), a))))) | (~(mult(mult(mult(mult(a, c), mult(b, a)), mult(mult(a, c), a)), b) = mult(mult(mult(a, c), mult(b, a)), mult(mult(mult(a, c), a), b)))))) | (~((~(mult(mult(mult(mult(a, c), mult(b, a)), b), mult(mult(a, c), a)) = mult(mult(mult(a, c), mult(b, a)), mult(mult(mult(a, c), a), b)))) | (~(mult(mult(mult(mult(a, c), mult(b, a)), mult(mult(a, c), a)), b) = mult(mult(mult(a, c), mult(b, a)), mult(b, mult(mult(a, c), a))))))))),
% 4.90/5.13 inference(transitivity,[status(thm)],[6986, 6984])).
% 4.90/5.13 tff(6988,plain,
% 4.90/5.13 ((~![X0: $i, X1: $i, X2: $i] : ((~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X2, X1)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X1, X2)))))) | (~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X1, X2)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X2, X1)))))))) | ((~((~(mult(mult(mult(mult(a, c), mult(b, a)), b), mult(mult(a, c), a)) = mult(mult(mult(a, c), mult(b, a)), mult(mult(mult(a, c), a), b)))) | (~(mult(mult(mult(mult(a, c), mult(b, a)), mult(mult(a, c), a)), b) = mult(mult(mult(a, c), mult(b, a)), mult(b, mult(mult(a, c), a))))))) | (~((~(mult(mult(mult(mult(a, c), mult(b, a)), b), mult(mult(a, c), a)) = mult(mult(mult(a, c), mult(b, a)), mult(b, mult(mult(a, c), a))))) | (~(mult(mult(mult(mult(a, c), mult(b, a)), mult(mult(a, c), a)), b) = mult(mult(mult(a, c), mult(b, a)), mult(mult(mult(a, c), a), b)))))))),
% 4.90/5.13 inference(quant_inst,[status(thm)],[])).
% 4.90/5.13 tff(6989,plain,
% 4.90/5.13 ((~![X0: $i, X1: $i, X2: $i] : ((~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X2, X1)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X1, X2)))))) | (~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X1, X2)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X2, X1)))))))) | (~((~(mult(mult(mult(mult(a, c), mult(b, a)), b), mult(mult(a, c), a)) = mult(mult(mult(a, c), mult(b, a)), mult(b, mult(mult(a, c), a))))) | (~(mult(mult(mult(mult(a, c), mult(b, a)), mult(mult(a, c), a)), b) = mult(mult(mult(a, c), mult(b, a)), mult(mult(mult(a, c), a), b)))))) | (~((~(mult(mult(mult(mult(a, c), mult(b, a)), b), mult(mult(a, c), a)) = mult(mult(mult(a, c), mult(b, a)), mult(mult(mult(a, c), a), b)))) | (~(mult(mult(mult(mult(a, c), mult(b, a)), mult(mult(a, c), a)), b) = mult(mult(mult(a, c), mult(b, a)), mult(b, mult(mult(a, c), a)))))))),
% 4.90/5.13 inference(modus_ponens,[status(thm)],[6988, 6987])).
% 4.90/5.13 tff(6990,plain,
% 4.90/5.13 ((~((~(mult(mult(mult(mult(a, c), mult(b, a)), b), mult(mult(a, c), a)) = mult(mult(mult(a, c), mult(b, a)), mult(b, mult(mult(a, c), a))))) | (~(mult(mult(mult(mult(a, c), mult(b, a)), mult(mult(a, c), a)), b) = mult(mult(mult(a, c), mult(b, a)), mult(mult(mult(a, c), a), b)))))) | (~((~(mult(mult(mult(mult(a, c), mult(b, a)), b), mult(mult(a, c), a)) = mult(mult(mult(a, c), mult(b, a)), mult(mult(mult(a, c), a), b)))) | (~(mult(mult(mult(mult(a, c), mult(b, a)), mult(mult(a, c), a)), b) = mult(mult(mult(a, c), mult(b, a)), mult(b, mult(mult(a, c), a)))))))),
% 4.90/5.13 inference(unit_resolution,[status(thm)],[6989, 30])).
% 4.90/5.13 tff(6991,plain,
% 4.90/5.13 (~((~(mult(mult(mult(mult(a, c), mult(b, a)), b), mult(mult(a, c), a)) = mult(mult(mult(a, c), mult(b, a)), mult(mult(mult(a, c), a), b)))) | (~(mult(mult(mult(mult(a, c), mult(b, a)), mult(mult(a, c), a)), b) = mult(mult(mult(a, c), mult(b, a)), mult(b, mult(mult(a, c), a))))))),
% 4.90/5.13 inference(unit_resolution,[status(thm)],[6990, 6983])).
% 4.90/5.13 tff(6992,plain,
% 4.90/5.13 (((~(mult(mult(mult(mult(a, c), mult(b, a)), b), mult(mult(a, c), a)) = mult(mult(mult(a, c), mult(b, a)), mult(mult(mult(a, c), a), b)))) | (~(mult(mult(mult(mult(a, c), mult(b, a)), mult(mult(a, c), a)), b) = mult(mult(mult(a, c), mult(b, a)), mult(b, mult(mult(a, c), a)))))) | (mult(mult(mult(mult(a, c), mult(b, a)), mult(mult(a, c), a)), b) = mult(mult(mult(a, c), mult(b, a)), mult(b, mult(mult(a, c), a))))),
% 4.90/5.13 inference(tautology,[status(thm)],[])).
% 4.90/5.13 tff(6993,plain,
% 4.90/5.13 (mult(mult(mult(mult(a, c), mult(b, a)), mult(mult(a, c), a)), b) = mult(mult(mult(a, c), mult(b, a)), mult(b, mult(mult(a, c), a)))),
% 4.90/5.13 inference(unit_resolution,[status(thm)],[6992, 6991])).
% 4.90/5.13 tff(6994,plain,
% 4.90/5.13 (mult(b, mult(mult(a, c), a)) = mult(b, mult(a, mult(c, a)))),
% 4.90/5.13 inference(transitivity,[status(thm)],[863, 4656, 4679])).
% 4.90/5.13 tff(6995,plain,
% 4.90/5.13 (mult(mult(mult(a, c), mult(b, a)), mult(b, mult(mult(a, c), a))) = mult(mult(mult(a, c), mult(b, a)), mult(b, mult(a, mult(c, a))))),
% 4.90/5.13 inference(monotonicity,[status(thm)],[6994])).
% 4.90/5.13 tff(6996,plain,
% 4.90/5.13 (mult(mult(mult(a, c), mult(b, a)), a) = mult(mult(mult(mult(a, c), a), b), a)),
% 4.90/5.13 inference(monotonicity,[status(thm)],[1720])).
% 4.90/5.13 tff(6997,plain,
% 4.90/5.13 (mult(mult(mult(mult(a, c), a), b), a) = mult(mult(mult(a, c), mult(b, a)), a)),
% 4.90/5.13 inference(symmetry,[status(thm)],[6996])).
% 4.90/5.13 tff(6998,plain,
% 4.90/5.13 (mult(mult(a, c), mult(mult(a, b), a)) = mult(mult(mult(a, c), mult(b, a)), a)),
% 4.90/5.13 inference(transitivity,[status(thm)],[1532, 6997])).
% 4.90/5.13 tff(6999,plain,
% 4.90/5.13 (mult(mult(mult(a, c), mult(mult(a, b), a)), c) = mult(mult(mult(mult(a, c), mult(b, a)), a), c)),
% 4.90/5.13 inference(monotonicity,[status(thm)],[6998])).
% 4.90/5.13 tff(7000,plain,
% 4.90/5.13 (mult(mult(mult(mult(a, c), mult(b, a)), a), c) = mult(mult(mult(a, c), mult(mult(a, b), a)), c)),
% 4.90/5.13 inference(symmetry,[status(thm)],[6999])).
% 4.90/5.13 tff(7001,plain,
% 4.90/5.13 (mult(mult(mult(a, c), mult(b, a)), mult(a, c)) = mult(mult(mult(mult(a, c), mult(b, a)), a), c)),
% 4.90/5.13 inference(symmetry,[status(thm)],[6842])).
% 4.90/5.13 tff(7002,plain,
% 4.90/5.13 (mult(mult(mult(a, c), mult(b, a)), mult(a, c)) = mult(mult(mult(a, c), mult(mult(a, b), a)), c)),
% 4.90/5.13 inference(transitivity,[status(thm)],[7001, 7000])).
% 4.90/5.13 tff(7003,plain,
% 4.90/5.13 (mult(mult(mult(mult(a, c), mult(b, a)), mult(a, c)), a) = mult(mult(mult(mult(a, c), mult(mult(a, b), a)), c), a)),
% 4.90/5.13 inference(monotonicity,[status(thm)],[7002])).
% 4.90/5.13 tff(7004,assumption,(mult(mult(mult(mult(a, c), mult(b, a)), mult(a, c)), a) = mult(mult(mult(a, c), mult(b, a)), mult(mult(a, c), a))), introduced(assumption)).
% 4.90/5.13 tff(7005,plain,
% 4.90/5.13 (mult(mult(mult(a, c), mult(b, a)), mult(mult(a, c), a)) = mult(mult(mult(mult(a, c), mult(b, a)), mult(a, c)), a)),
% 4.90/5.13 inference(symmetry,[status(thm)],[7004])).
% 4.90/5.13 tff(7006,plain,
% 4.90/5.13 (mult(mult(mult(a, c), mult(b, a)), mult(a, mult(c, a))) = mult(mult(mult(mult(a, c), mult(mult(a, b), a)), c), a)),
% 4.90/5.13 inference(transitivity,[status(thm)],[6932, 7005, 7003])).
% 4.90/5.13 tff(7007,plain,
% 4.90/5.13 (mult(mult(mult(mult(a, c), mult(b, a)), mult(a, mult(c, a))), b) = mult(mult(mult(mult(mult(a, c), mult(mult(a, b), a)), c), a), b)),
% 4.90/5.13 inference(monotonicity,[status(thm)],[7006])).
% 4.90/5.13 tff(7008,plain,
% 4.90/5.13 (mult(mult(mult(mult(mult(a, c), mult(mult(a, b), a)), c), a), b) = mult(mult(mult(mult(a, c), mult(b, a)), mult(a, mult(c, a))), b)),
% 4.90/5.13 inference(symmetry,[status(thm)],[7007])).
% 4.90/5.13 tff(7009,plain,
% 4.90/5.13 (mult(mult(mult(a, c), mult(b, a)), mult(mult(a, c), a)) = mult(mult(mult(mult(a, c), mult(mult(a, b), a)), c), a)),
% 4.90/5.13 inference(transitivity,[status(thm)],[7005, 7003])).
% 4.90/5.13 tff(7010,plain,
% 4.90/5.13 (mult(mult(mult(mult(a, c), mult(b, a)), mult(mult(a, c), a)), b) = mult(mult(mult(mult(mult(a, c), mult(mult(a, b), a)), c), a), b)),
% 4.90/5.13 inference(monotonicity,[status(thm)],[7009])).
% 4.90/5.13 tff(7011,plain,
% 4.90/5.13 (mult(mult(mult(mult(a, c), mult(b, a)), mult(mult(a, c), a)), b) = mult(mult(mult(mult(a, c), mult(b, a)), mult(a, mult(c, a))), b)),
% 4.90/5.13 inference(transitivity,[status(thm)],[7010, 7008])).
% 4.90/5.13 tff(7012,plain,
% 4.90/5.13 ((mult(mult(mult(mult(a, c), mult(b, a)), mult(mult(a, c), a)), b) = mult(mult(mult(a, c), mult(b, a)), mult(b, mult(mult(a, c), a)))) <=> (mult(mult(mult(mult(a, c), mult(b, a)), mult(a, mult(c, a))), b) = mult(mult(mult(a, c), mult(b, a)), mult(b, mult(a, mult(c, a)))))),
% 4.90/5.13 inference(monotonicity,[status(thm)],[7011, 6995])).
% 4.90/5.13 tff(7013,plain,
% 4.90/5.13 ((mult(mult(mult(mult(a, c), mult(b, a)), mult(a, mult(c, a))), b) = mult(mult(mult(a, c), mult(b, a)), mult(b, mult(a, mult(c, a))))) <=> (mult(mult(mult(mult(a, c), mult(b, a)), mult(mult(a, c), a)), b) = mult(mult(mult(a, c), mult(b, a)), mult(b, mult(mult(a, c), a))))),
% 4.90/5.13 inference(symmetry,[status(thm)],[7012])).
% 4.90/5.13 tff(7014,plain,
% 4.90/5.13 (mult(b, mult(a, mult(c, a))) = mult(mult(b, a), mult(a, c))),
% 4.90/5.13 inference(transitivity,[status(thm)],[4680, 4657, 3530])).
% 4.90/5.13 tff(7015,plain,
% 4.90/5.13 (mult(mult(mult(a, c), mult(b, a)), mult(b, mult(a, mult(c, a)))) = mult(mult(mult(a, c), mult(b, a)), mult(mult(b, a), mult(a, c)))),
% 4.90/5.13 inference(monotonicity,[status(thm)],[7014])).
% 4.90/5.13 tff(7016,plain,
% 4.90/5.13 (mult(mult(mult(a, c), mult(b, a)), mult(mult(b, a), mult(a, c))) = mult(mult(mult(a, c), mult(b, a)), mult(b, mult(a, mult(c, a))))),
% 4.90/5.13 inference(symmetry,[status(thm)],[7015])).
% 4.90/5.13 tff(7017,assumption,(mult(mult(mult(mult(a, c), mult(b, a)), mult(a, c)), mult(b, a)) = mult(mult(mult(a, c), mult(b, a)), mult(mult(b, a), mult(a, c)))), introduced(assumption)).
% 4.90/5.13 tff(7018,plain,
% 4.90/5.13 (mult(mult(mult(mult(a, c), mult(b, a)), mult(a, c)), mult(b, a)) = mult(mult(mult(a, c), mult(b, a)), mult(b, mult(a, mult(c, a))))),
% 4.90/5.13 inference(transitivity,[status(thm)],[7017, 7016])).
% 4.90/5.13 tff(7019,plain,
% 4.90/5.13 (mult(mult(mult(mult(a, c), mult(mult(a, b), a)), c), a) = mult(mult(mult(mult(a, c), mult(b, a)), mult(a, c)), a)),
% 4.90/5.13 inference(symmetry,[status(thm)],[7003])).
% 4.90/5.13 tff(7020,plain,
% 4.90/5.13 (mult(mult(mult(mult(mult(a, c), mult(mult(a, b), a)), c), a), b) = mult(mult(mult(mult(mult(a, c), mult(b, a)), mult(a, c)), a), b)),
% 4.90/5.13 inference(monotonicity,[status(thm)],[7019])).
% 4.90/5.13 tff(7021,plain,
% 4.90/5.13 (mult(mult(mult(mult(mult(a, c), mult(b, a)), mult(a, c)), a), b) = mult(mult(mult(mult(mult(a, c), mult(mult(a, b), a)), c), a), b)),
% 4.90/5.13 inference(symmetry,[status(thm)],[7020])).
% 4.90/5.13 tff(7022,plain,
% 4.90/5.13 (mult(mult(mult(mult(mult(a, c), mult(b, a)), mult(a, c)), a), b) = mult(mult(mult(mult(a, c), mult(b, a)), mult(a, mult(c, a))), b)),
% 4.90/5.13 inference(transitivity,[status(thm)],[7021, 7008])).
% 4.90/5.13 tff(7023,plain,
% 4.90/5.13 ((mult(mult(mult(mult(mult(a, c), mult(b, a)), mult(a, c)), a), b) = mult(mult(mult(mult(a, c), mult(b, a)), mult(a, c)), mult(b, a))) <=> (mult(mult(mult(mult(a, c), mult(b, a)), mult(a, mult(c, a))), b) = mult(mult(mult(a, c), mult(b, a)), mult(b, mult(a, mult(c, a)))))),
% 4.90/5.13 inference(monotonicity,[status(thm)],[7022, 7018])).
% 4.90/5.13 tff(7024,plain,
% 4.90/5.13 ((mult(mult(mult(mult(mult(a, c), mult(b, a)), mult(a, c)), a), b) = mult(mult(mult(mult(a, c), mult(b, a)), mult(a, c)), mult(b, a))) <=> (mult(mult(mult(mult(a, c), mult(b, a)), mult(mult(a, c), a)), b) = mult(mult(mult(a, c), mult(b, a)), mult(b, mult(mult(a, c), a))))),
% 4.90/5.13 inference(transitivity,[status(thm)],[7023, 7013])).
% 4.90/5.13 tff(7025,plain,
% 4.90/5.13 ((~(mult(mult(mult(mult(mult(a, c), mult(b, a)), mult(a, c)), a), b) = mult(mult(mult(mult(a, c), mult(b, a)), mult(a, c)), mult(b, a)))) <=> (~(mult(mult(mult(mult(a, c), mult(b, a)), mult(mult(a, c), a)), b) = mult(mult(mult(a, c), mult(b, a)), mult(b, mult(mult(a, c), a)))))),
% 4.90/5.13 inference(monotonicity,[status(thm)],[7024])).
% 4.90/5.13 tff(7026,plain,
% 4.90/5.13 (~(mult(mult(mult(mult(a, c), mult(b, a)), mult(mult(a, c), a)), b) = mult(mult(mult(a, c), mult(b, a)), mult(b, mult(mult(a, c), a))))),
% 4.90/5.13 inference(modus_ponens,[status(thm)],[6808, 7025])).
% 4.90/5.13 tff(7027,assumption,(mult(mult(mult(mult(a, c), mult(b, a)), mult(mult(a, c), a)), b) = mult(mult(mult(a, c), mult(b, a)), mult(b, mult(mult(a, c), a)))), introduced(assumption)).
% 4.90/5.13 tff(7028,plain,
% 4.90/5.13 ($false),
% 4.90/5.13 inference(unit_resolution,[status(thm)],[7027, 7026])).
% 4.90/5.13 tff(7029,plain,((~(mult(mult(mult(mult(a, c), mult(b, a)), mult(a, c)), mult(b, a)) = mult(mult(mult(a, c), mult(b, a)), mult(mult(b, a), mult(a, c))))) | (~(mult(mult(mult(mult(a, c), mult(b, a)), mult(mult(a, c), a)), b) = mult(mult(mult(a, c), mult(b, a)), mult(b, mult(mult(a, c), a))))) | (mult(mult(mult(mult(mult(a, c), mult(b, a)), mult(a, c)), a), b) = mult(mult(mult(mult(a, c), mult(b, a)), mult(a, c)), mult(b, a))) | (~(mult(mult(mult(mult(a, c), mult(b, a)), mult(a, c)), a) = mult(mult(mult(a, c), mult(b, a)), mult(mult(a, c), a)))) | (~(mult(mult(mult(mult(a, c), mult(b, a)), a), c) = mult(mult(mult(a, c), mult(b, a)), mult(a, c)))) | (~(mult(mult(mult(a, c), a), b) = mult(mult(a, c), mult(b, a))))), inference(lemma,lemma(discharge,[]))).
% 4.90/5.13 tff(7030,plain,
% 4.90/5.13 (~(mult(mult(mult(mult(a, c), mult(b, a)), mult(a, c)), mult(b, a)) = mult(mult(mult(a, c), mult(b, a)), mult(mult(b, a), mult(a, c))))),
% 4.90/5.13 inference(unit_resolution,[status(thm)],[7029, 6993, 6908, 6842, 6921, 1526])).
% 4.90/5.13 tff(7031,plain,
% 4.90/5.13 (((~(mult(mult(mult(mult(a, c), mult(b, a)), mult(b, a)), mult(a, c)) = mult(mult(mult(a, c), mult(b, a)), mult(mult(a, c), mult(b, a))))) | (~(mult(mult(mult(mult(a, c), mult(b, a)), mult(a, c)), mult(b, a)) = mult(mult(mult(a, c), mult(b, a)), mult(mult(b, a), mult(a, c)))))) | (mult(mult(mult(mult(a, c), mult(b, a)), mult(a, c)), mult(b, a)) = mult(mult(mult(a, c), mult(b, a)), mult(mult(b, a), mult(a, c))))),
% 4.90/5.13 inference(tautology,[status(thm)],[])).
% 4.90/5.13 tff(7032,plain,
% 4.90/5.13 ((~(mult(mult(mult(mult(a, c), mult(b, a)), mult(b, a)), mult(a, c)) = mult(mult(mult(a, c), mult(b, a)), mult(mult(a, c), mult(b, a))))) | (~(mult(mult(mult(mult(a, c), mult(b, a)), mult(a, c)), mult(b, a)) = mult(mult(mult(a, c), mult(b, a)), mult(mult(b, a), mult(a, c)))))),
% 4.90/5.14 inference(unit_resolution,[status(thm)],[7031, 7030])).
% 4.90/5.14 tff(7033,plain,
% 4.90/5.14 (((~![X0: $i, X1: $i, X2: $i] : ((~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X2, X1)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X1, X2)))))) | (~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X1, X2)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X2, X1)))))))) | ((~((~(mult(mult(mult(mult(a, c), mult(b, a)), mult(b, a)), mult(a, c)) = mult(mult(mult(a, c), mult(b, a)), mult(mult(a, c), mult(b, a))))) | (~(mult(mult(mult(mult(a, c), mult(b, a)), mult(a, c)), mult(b, a)) = mult(mult(mult(a, c), mult(b, a)), mult(mult(b, a), mult(a, c))))))) | (~((~(mult(mult(mult(mult(a, c), mult(b, a)), mult(a, c)), mult(b, a)) = mult(mult(mult(a, c), mult(b, a)), mult(mult(a, c), mult(b, a))))) | (~(mult(mult(mult(mult(a, c), mult(b, a)), mult(b, a)), mult(a, c)) = mult(mult(mult(a, c), mult(b, a)), mult(mult(b, a), mult(a, c))))))))) <=> ((~![X0: $i, X1: $i, X2: $i] : ((~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X2, X1)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X1, X2)))))) | (~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X1, X2)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X2, X1)))))))) | (~((~(mult(mult(mult(mult(a, c), mult(b, a)), mult(b, a)), mult(a, c)) = mult(mult(mult(a, c), mult(b, a)), mult(mult(a, c), mult(b, a))))) | (~(mult(mult(mult(mult(a, c), mult(b, a)), mult(a, c)), mult(b, a)) = mult(mult(mult(a, c), mult(b, a)), mult(mult(b, a), mult(a, c))))))) | (~((~(mult(mult(mult(mult(a, c), mult(b, a)), mult(a, c)), mult(b, a)) = mult(mult(mult(a, c), mult(b, a)), mult(mult(a, c), mult(b, a))))) | (~(mult(mult(mult(mult(a, c), mult(b, a)), mult(b, a)), mult(a, c)) = mult(mult(mult(a, c), mult(b, a)), mult(mult(b, a), mult(a, c))))))))),
% 4.90/5.14 inference(rewrite,[status(thm)],[])).
% 4.90/5.14 tff(7034,plain,
% 4.90/5.14 (((~((~(mult(mult(mult(mult(a, c), mult(b, a)), mult(b, a)), mult(a, c)) = mult(mult(mult(a, c), mult(b, a)), mult(mult(a, c), mult(b, a))))) | (~(mult(mult(mult(mult(a, c), mult(b, a)), mult(a, c)), mult(b, a)) = mult(mult(mult(a, c), mult(b, a)), mult(mult(b, a), mult(a, c))))))) | (~((~(mult(mult(mult(mult(a, c), mult(b, a)), mult(a, c)), mult(b, a)) = mult(mult(mult(a, c), mult(b, a)), mult(mult(a, c), mult(b, a))))) | (~(mult(mult(mult(mult(a, c), mult(b, a)), mult(b, a)), mult(a, c)) = mult(mult(mult(a, c), mult(b, a)), mult(mult(b, a), mult(a, c)))))))) <=> ((~((~(mult(mult(mult(mult(a, c), mult(b, a)), mult(b, a)), mult(a, c)) = mult(mult(mult(a, c), mult(b, a)), mult(mult(a, c), mult(b, a))))) | (~(mult(mult(mult(mult(a, c), mult(b, a)), mult(a, c)), mult(b, a)) = mult(mult(mult(a, c), mult(b, a)), mult(mult(b, a), mult(a, c))))))) | (~((~(mult(mult(mult(mult(a, c), mult(b, a)), mult(a, c)), mult(b, a)) = mult(mult(mult(a, c), mult(b, a)), mult(mult(a, c), mult(b, a))))) | (~(mult(mult(mult(mult(a, c), mult(b, a)), mult(b, a)), mult(a, c)) = mult(mult(mult(a, c), mult(b, a)), mult(mult(b, a), mult(a, c))))))))),
% 4.90/5.14 inference(rewrite,[status(thm)],[])).
% 4.90/5.14 tff(7035,plain,
% 4.90/5.14 ((~((~(mult(mult(mult(mult(a, c), mult(b, a)), mult(b, a)), mult(a, c)) = mult(mult(mult(a, c), mult(b, a)), mult(mult(b, a), mult(a, c))))) | (~(mult(mult(mult(mult(a, c), mult(b, a)), mult(a, c)), mult(b, a)) = mult(mult(mult(a, c), mult(b, a)), mult(mult(a, c), mult(b, a))))))) <=> (~((~(mult(mult(mult(mult(a, c), mult(b, a)), mult(a, c)), mult(b, a)) = mult(mult(mult(a, c), mult(b, a)), mult(mult(a, c), mult(b, a))))) | (~(mult(mult(mult(mult(a, c), mult(b, a)), mult(b, a)), mult(a, c)) = mult(mult(mult(a, c), mult(b, a)), mult(mult(b, a), mult(a, c)))))))),
% 4.90/5.14 inference(rewrite,[status(thm)],[])).
% 4.90/5.14 tff(7036,plain,
% 4.90/5.14 ((~((~(mult(mult(mult(mult(a, c), mult(b, a)), mult(b, a)), mult(a, c)) = mult(mult(mult(a, c), mult(b, a)), mult(mult(a, c), mult(b, a))))) | (~(mult(mult(mult(mult(a, c), mult(b, a)), mult(a, c)), mult(b, a)) = mult(mult(mult(a, c), mult(b, a)), mult(mult(b, a), mult(a, c))))))) <=> (~((~(mult(mult(mult(mult(a, c), mult(b, a)), mult(b, a)), mult(a, c)) = mult(mult(mult(a, c), mult(b, a)), mult(mult(a, c), mult(b, a))))) | (~(mult(mult(mult(mult(a, c), mult(b, a)), mult(a, c)), mult(b, a)) = mult(mult(mult(a, c), mult(b, a)), mult(mult(b, a), mult(a, c)))))))),
% 4.90/5.14 inference(rewrite,[status(thm)],[])).
% 4.90/5.14 tff(7037,plain,
% 4.90/5.14 (((~((~(mult(mult(mult(mult(a, c), mult(b, a)), mult(b, a)), mult(a, c)) = mult(mult(mult(a, c), mult(b, a)), mult(mult(a, c), mult(b, a))))) | (~(mult(mult(mult(mult(a, c), mult(b, a)), mult(a, c)), mult(b, a)) = mult(mult(mult(a, c), mult(b, a)), mult(mult(b, a), mult(a, c))))))) | (~((~(mult(mult(mult(mult(a, c), mult(b, a)), mult(b, a)), mult(a, c)) = mult(mult(mult(a, c), mult(b, a)), mult(mult(b, a), mult(a, c))))) | (~(mult(mult(mult(mult(a, c), mult(b, a)), mult(a, c)), mult(b, a)) = mult(mult(mult(a, c), mult(b, a)), mult(mult(a, c), mult(b, a)))))))) <=> ((~((~(mult(mult(mult(mult(a, c), mult(b, a)), mult(b, a)), mult(a, c)) = mult(mult(mult(a, c), mult(b, a)), mult(mult(a, c), mult(b, a))))) | (~(mult(mult(mult(mult(a, c), mult(b, a)), mult(a, c)), mult(b, a)) = mult(mult(mult(a, c), mult(b, a)), mult(mult(b, a), mult(a, c))))))) | (~((~(mult(mult(mult(mult(a, c), mult(b, a)), mult(a, c)), mult(b, a)) = mult(mult(mult(a, c), mult(b, a)), mult(mult(a, c), mult(b, a))))) | (~(mult(mult(mult(mult(a, c), mult(b, a)), mult(b, a)), mult(a, c)) = mult(mult(mult(a, c), mult(b, a)), mult(mult(b, a), mult(a, c))))))))),
% 4.90/5.14 inference(monotonicity,[status(thm)],[7036, 7035])).
% 4.90/5.14 tff(7038,plain,
% 4.90/5.14 (((~((~(mult(mult(mult(mult(a, c), mult(b, a)), mult(b, a)), mult(a, c)) = mult(mult(mult(a, c), mult(b, a)), mult(mult(a, c), mult(b, a))))) | (~(mult(mult(mult(mult(a, c), mult(b, a)), mult(a, c)), mult(b, a)) = mult(mult(mult(a, c), mult(b, a)), mult(mult(b, a), mult(a, c))))))) | (~((~(mult(mult(mult(mult(a, c), mult(b, a)), mult(b, a)), mult(a, c)) = mult(mult(mult(a, c), mult(b, a)), mult(mult(b, a), mult(a, c))))) | (~(mult(mult(mult(mult(a, c), mult(b, a)), mult(a, c)), mult(b, a)) = mult(mult(mult(a, c), mult(b, a)), mult(mult(a, c), mult(b, a)))))))) <=> ((~((~(mult(mult(mult(mult(a, c), mult(b, a)), mult(b, a)), mult(a, c)) = mult(mult(mult(a, c), mult(b, a)), mult(mult(a, c), mult(b, a))))) | (~(mult(mult(mult(mult(a, c), mult(b, a)), mult(a, c)), mult(b, a)) = mult(mult(mult(a, c), mult(b, a)), mult(mult(b, a), mult(a, c))))))) | (~((~(mult(mult(mult(mult(a, c), mult(b, a)), mult(a, c)), mult(b, a)) = mult(mult(mult(a, c), mult(b, a)), mult(mult(a, c), mult(b, a))))) | (~(mult(mult(mult(mult(a, c), mult(b, a)), mult(b, a)), mult(a, c)) = mult(mult(mult(a, c), mult(b, a)), mult(mult(b, a), mult(a, c))))))))),
% 4.90/5.14 inference(transitivity,[status(thm)],[7037, 7034])).
% 4.90/5.14 tff(7039,plain,
% 4.90/5.14 (((~![X0: $i, X1: $i, X2: $i] : ((~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X2, X1)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X1, X2)))))) | (~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X1, X2)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X2, X1)))))))) | ((~((~(mult(mult(mult(mult(a, c), mult(b, a)), mult(b, a)), mult(a, c)) = mult(mult(mult(a, c), mult(b, a)), mult(mult(a, c), mult(b, a))))) | (~(mult(mult(mult(mult(a, c), mult(b, a)), mult(a, c)), mult(b, a)) = mult(mult(mult(a, c), mult(b, a)), mult(mult(b, a), mult(a, c))))))) | (~((~(mult(mult(mult(mult(a, c), mult(b, a)), mult(b, a)), mult(a, c)) = mult(mult(mult(a, c), mult(b, a)), mult(mult(b, a), mult(a, c))))) | (~(mult(mult(mult(mult(a, c), mult(b, a)), mult(a, c)), mult(b, a)) = mult(mult(mult(a, c), mult(b, a)), mult(mult(a, c), mult(b, a))))))))) <=> ((~![X0: $i, X1: $i, X2: $i] : ((~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X2, X1)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X1, X2)))))) | (~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X1, X2)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X2, X1)))))))) | ((~((~(mult(mult(mult(mult(a, c), mult(b, a)), mult(b, a)), mult(a, c)) = mult(mult(mult(a, c), mult(b, a)), mult(mult(a, c), mult(b, a))))) | (~(mult(mult(mult(mult(a, c), mult(b, a)), mult(a, c)), mult(b, a)) = mult(mult(mult(a, c), mult(b, a)), mult(mult(b, a), mult(a, c))))))) | (~((~(mult(mult(mult(mult(a, c), mult(b, a)), mult(a, c)), mult(b, a)) = mult(mult(mult(a, c), mult(b, a)), mult(mult(a, c), mult(b, a))))) | (~(mult(mult(mult(mult(a, c), mult(b, a)), mult(b, a)), mult(a, c)) = mult(mult(mult(a, c), mult(b, a)), mult(mult(b, a), mult(a, c)))))))))),
% 4.90/5.14 inference(monotonicity,[status(thm)],[7038])).
% 4.90/5.14 tff(7040,plain,
% 4.90/5.14 (((~![X0: $i, X1: $i, X2: $i] : ((~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X2, X1)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X1, X2)))))) | (~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X1, X2)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X2, X1)))))))) | ((~((~(mult(mult(mult(mult(a, c), mult(b, a)), mult(b, a)), mult(a, c)) = mult(mult(mult(a, c), mult(b, a)), mult(mult(a, c), mult(b, a))))) | (~(mult(mult(mult(mult(a, c), mult(b, a)), mult(a, c)), mult(b, a)) = mult(mult(mult(a, c), mult(b, a)), mult(mult(b, a), mult(a, c))))))) | (~((~(mult(mult(mult(mult(a, c), mult(b, a)), mult(b, a)), mult(a, c)) = mult(mult(mult(a, c), mult(b, a)), mult(mult(b, a), mult(a, c))))) | (~(mult(mult(mult(mult(a, c), mult(b, a)), mult(a, c)), mult(b, a)) = mult(mult(mult(a, c), mult(b, a)), mult(mult(a, c), mult(b, a))))))))) <=> ((~![X0: $i, X1: $i, X2: $i] : ((~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X2, X1)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X1, X2)))))) | (~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X1, X2)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X2, X1)))))))) | (~((~(mult(mult(mult(mult(a, c), mult(b, a)), mult(b, a)), mult(a, c)) = mult(mult(mult(a, c), mult(b, a)), mult(mult(a, c), mult(b, a))))) | (~(mult(mult(mult(mult(a, c), mult(b, a)), mult(a, c)), mult(b, a)) = mult(mult(mult(a, c), mult(b, a)), mult(mult(b, a), mult(a, c))))))) | (~((~(mult(mult(mult(mult(a, c), mult(b, a)), mult(a, c)), mult(b, a)) = mult(mult(mult(a, c), mult(b, a)), mult(mult(a, c), mult(b, a))))) | (~(mult(mult(mult(mult(a, c), mult(b, a)), mult(b, a)), mult(a, c)) = mult(mult(mult(a, c), mult(b, a)), mult(mult(b, a), mult(a, c))))))))),
% 4.90/5.14 inference(transitivity,[status(thm)],[7039, 7033])).
% 4.90/5.14 tff(7041,plain,
% 4.90/5.14 ((~![X0: $i, X1: $i, X2: $i] : ((~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X2, X1)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X1, X2)))))) | (~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X1, X2)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X2, X1)))))))) | ((~((~(mult(mult(mult(mult(a, c), mult(b, a)), mult(b, a)), mult(a, c)) = mult(mult(mult(a, c), mult(b, a)), mult(mult(a, c), mult(b, a))))) | (~(mult(mult(mult(mult(a, c), mult(b, a)), mult(a, c)), mult(b, a)) = mult(mult(mult(a, c), mult(b, a)), mult(mult(b, a), mult(a, c))))))) | (~((~(mult(mult(mult(mult(a, c), mult(b, a)), mult(b, a)), mult(a, c)) = mult(mult(mult(a, c), mult(b, a)), mult(mult(b, a), mult(a, c))))) | (~(mult(mult(mult(mult(a, c), mult(b, a)), mult(a, c)), mult(b, a)) = mult(mult(mult(a, c), mult(b, a)), mult(mult(a, c), mult(b, a))))))))),
% 4.90/5.14 inference(quant_inst,[status(thm)],[])).
% 4.90/5.14 tff(7042,plain,
% 4.90/5.14 ((~![X0: $i, X1: $i, X2: $i] : ((~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X2, X1)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X1, X2)))))) | (~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X1, X2)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X2, X1)))))))) | (~((~(mult(mult(mult(mult(a, c), mult(b, a)), mult(b, a)), mult(a, c)) = mult(mult(mult(a, c), mult(b, a)), mult(mult(a, c), mult(b, a))))) | (~(mult(mult(mult(mult(a, c), mult(b, a)), mult(a, c)), mult(b, a)) = mult(mult(mult(a, c), mult(b, a)), mult(mult(b, a), mult(a, c))))))) | (~((~(mult(mult(mult(mult(a, c), mult(b, a)), mult(a, c)), mult(b, a)) = mult(mult(mult(a, c), mult(b, a)), mult(mult(a, c), mult(b, a))))) | (~(mult(mult(mult(mult(a, c), mult(b, a)), mult(b, a)), mult(a, c)) = mult(mult(mult(a, c), mult(b, a)), mult(mult(b, a), mult(a, c)))))))),
% 4.90/5.14 inference(modus_ponens,[status(thm)],[7041, 7040])).
% 4.90/5.14 tff(7043,plain,
% 4.90/5.14 ((~((~(mult(mult(mult(mult(a, c), mult(b, a)), mult(b, a)), mult(a, c)) = mult(mult(mult(a, c), mult(b, a)), mult(mult(a, c), mult(b, a))))) | (~(mult(mult(mult(mult(a, c), mult(b, a)), mult(a, c)), mult(b, a)) = mult(mult(mult(a, c), mult(b, a)), mult(mult(b, a), mult(a, c))))))) | (~((~(mult(mult(mult(mult(a, c), mult(b, a)), mult(a, c)), mult(b, a)) = mult(mult(mult(a, c), mult(b, a)), mult(mult(a, c), mult(b, a))))) | (~(mult(mult(mult(mult(a, c), mult(b, a)), mult(b, a)), mult(a, c)) = mult(mult(mult(a, c), mult(b, a)), mult(mult(b, a), mult(a, c)))))))),
% 4.90/5.15 inference(unit_resolution,[status(thm)],[7042, 30])).
% 4.90/5.15 tff(7044,plain,
% 4.90/5.15 (~((~(mult(mult(mult(mult(a, c), mult(b, a)), mult(a, c)), mult(b, a)) = mult(mult(mult(a, c), mult(b, a)), mult(mult(a, c), mult(b, a))))) | (~(mult(mult(mult(mult(a, c), mult(b, a)), mult(b, a)), mult(a, c)) = mult(mult(mult(a, c), mult(b, a)), mult(mult(b, a), mult(a, c))))))),
% 4.90/5.15 inference(unit_resolution,[status(thm)],[7043, 7032])).
% 4.90/5.15 tff(7045,plain,
% 4.90/5.15 (((~(mult(mult(mult(mult(a, c), mult(b, a)), mult(a, c)), mult(b, a)) = mult(mult(mult(a, c), mult(b, a)), mult(mult(a, c), mult(b, a))))) | (~(mult(mult(mult(mult(a, c), mult(b, a)), mult(b, a)), mult(a, c)) = mult(mult(mult(a, c), mult(b, a)), mult(mult(b, a), mult(a, c)))))) | (mult(mult(mult(mult(a, c), mult(b, a)), mult(a, c)), mult(b, a)) = mult(mult(mult(a, c), mult(b, a)), mult(mult(a, c), mult(b, a))))),
% 4.90/5.15 inference(tautology,[status(thm)],[])).
% 4.90/5.15 tff(7046,plain,
% 4.90/5.15 (mult(mult(mult(mult(a, c), mult(b, a)), mult(a, c)), mult(b, a)) = mult(mult(mult(a, c), mult(b, a)), mult(mult(a, c), mult(b, a)))),
% 4.90/5.15 inference(unit_resolution,[status(thm)],[7045, 7044])).
% 4.90/5.15 tff(7047,plain,
% 4.90/5.15 (mult(mult(mult(a, c), mult(b, a)), mult(mult(a, c), mult(a, b))) = mult(mult(mult(a, c), mult(b, a)), mult(mult(mult(a, c), b), a))),
% 4.90/5.15 inference(symmetry,[status(thm)],[6951])).
% 4.90/5.15 tff(7048,plain,
% 4.90/5.15 (mult(mult(a, c), mult(a, b)) = mult(mult(a, mult(a, c)), b)),
% 4.90/5.15 inference(transitivity,[status(thm)],[2160, 511, 510, 5377, 1631])).
% 4.90/5.15 tff(7049,plain,
% 4.90/5.15 (mult(mult(mult(a, c), mult(b, a)), mult(mult(a, c), mult(a, b))) = mult(mult(mult(a, c), mult(b, a)), mult(mult(a, mult(a, c)), b))),
% 4.90/5.15 inference(monotonicity,[status(thm)],[7048])).
% 4.90/5.15 tff(7050,plain,
% 4.90/5.15 (mult(mult(mult(a, c), mult(b, a)), mult(mult(a, mult(a, c)), b)) = mult(mult(mult(a, c), mult(b, a)), mult(mult(a, c), mult(a, b)))),
% 4.90/5.15 inference(symmetry,[status(thm)],[7049])).
% 4.90/5.15 tff(7051,assumption,(mult(mult(mult(mult(a, c), mult(b, a)), mult(a, mult(a, c))), b) = mult(mult(mult(a, c), mult(b, a)), mult(mult(a, mult(a, c)), b))), introduced(assumption)).
% 4.90/5.15 tff(7052,plain,
% 4.90/5.15 (mult(mult(mult(mult(a, c), a), b), mult(a, mult(a, c))) = mult(mult(mult(a, c), mult(b, a)), mult(a, mult(a, c)))),
% 4.90/5.15 inference(monotonicity,[status(thm)],[1526])).
% 4.90/5.15 tff(7053,plain,
% 4.90/5.15 (mult(mult(mult(a, c), mult(b, a)), mult(a, mult(a, c))) = mult(mult(mult(mult(a, c), a), b), mult(a, mult(a, c)))),
% 4.90/5.15 inference(symmetry,[status(thm)],[7052])).
% 4.90/5.15 tff(7054,plain,
% 4.90/5.15 (mult(mult(mult(mult(a, c), mult(b, a)), mult(a, mult(a, c))), b) = mult(mult(mult(mult(mult(a, c), a), b), mult(a, mult(a, c))), b)),
% 4.90/5.15 inference(monotonicity,[status(thm)],[7053])).
% 4.90/5.15 tff(7055,plain,
% 4.90/5.15 (mult(mult(mult(mult(mult(a, c), a), b), mult(a, mult(a, c))), b) = mult(mult(mult(mult(a, c), mult(b, a)), mult(a, mult(a, c))), b)),
% 4.90/5.15 inference(symmetry,[status(thm)],[7054])).
% 4.90/5.15 tff(7056,plain,
% 4.90/5.15 (mult(mult(mult(a, c), a), mult(mult(b, mult(a, mult(a, c))), b)) = mult(mult(mult(mult(mult(a, c), a), b), mult(a, mult(a, c))), b)),
% 4.90/5.15 inference(symmetry,[status(thm)],[6801])).
% 4.90/5.15 tff(7057,plain,
% 4.90/5.15 (mult(mult(mult(a, mult(c, b)), a), b) = mult(mult(mult(mult(a, b), c), a), b)),
% 4.90/5.15 inference(monotonicity,[status(thm)],[108])).
% 4.90/5.15 tff(7058,plain,
% 4.90/5.15 (mult(mult(mult(mult(a, b), c), a), b) = mult(mult(mult(a, mult(c, b)), a), b)),
% 4.90/5.15 inference(symmetry,[status(thm)],[7057])).
% 4.90/5.15 tff(7059,plain,
% 4.90/5.15 (mult(b, mult(a, mult(a, c))) = mult(mult(mult(a, b), c), a)),
% 4.90/5.15 inference(transitivity,[status(thm)],[5329, 5318, 6756, 108])).
% 4.90/5.15 tff(7060,plain,
% 4.90/5.15 (mult(mult(b, mult(a, mult(a, c))), b) = mult(mult(mult(mult(a, b), c), a), b)),
% 4.90/5.15 inference(monotonicity,[status(thm)],[7059])).
% 4.90/5.15 tff(7061,plain,
% 4.90/5.15 (mult(mult(b, mult(a, mult(a, c))), b) = mult(mult(mult(a, mult(c, b)), a), b)),
% 4.90/5.15 inference(transitivity,[status(thm)],[7060, 7058])).
% 4.90/5.15 tff(7062,plain,
% 4.90/5.15 (mult(mult(mult(a, c), a), mult(mult(b, mult(a, mult(a, c))), b)) = mult(mult(mult(a, c), a), mult(mult(mult(a, mult(c, b)), a), b))),
% 4.90/5.15 inference(monotonicity,[status(thm)],[7061])).
% 4.90/5.15 tff(7063,plain,
% 4.90/5.15 (mult(mult(mult(a, c), a), mult(mult(mult(a, mult(c, b)), a), b)) = mult(mult(mult(a, c), a), mult(mult(b, mult(a, mult(a, c))), b))),
% 4.90/5.15 inference(symmetry,[status(thm)],[7062])).
% 4.90/5.15 tff(7064,plain,
% 4.90/5.15 (mult(mult(mult(a, b), mult(a, c)), b) = mult(mult(mult(mult(a, b), c), a), b)),
% 4.90/5.15 inference(monotonicity,[status(thm)],[5360])).
% 4.90/5.15 tff(7065,plain,
% 4.90/5.15 (mult(mult(mult(mult(a, b), c), a), b) = mult(mult(mult(a, b), mult(a, c)), b)),
% 4.90/5.15 inference(symmetry,[status(thm)],[7064])).
% 4.90/5.15 tff(7066,plain,
% 4.90/5.15 (mult(mult(mult(a, mult(c, b)), a), b) = mult(a, mult(mult(mult(b, c), a), b))),
% 4.90/5.15 inference(transitivity,[status(thm)],[7057, 7065, 6137, 6159])).
% 4.90/5.15 tff(7067,plain,
% 4.90/5.15 (mult(mult(mult(a, c), a), mult(mult(mult(a, mult(c, b)), a), b)) = mult(mult(mult(a, c), a), mult(a, mult(mult(mult(b, c), a), b)))),
% 4.90/5.15 inference(monotonicity,[status(thm)],[7066])).
% 4.90/5.15 tff(7068,plain,
% 4.90/5.15 (mult(mult(mult(a, c), a), mult(a, mult(mult(mult(b, c), a), b))) = mult(mult(mult(a, c), a), mult(mult(mult(a, mult(c, b)), a), b))),
% 4.90/5.15 inference(symmetry,[status(thm)],[7067])).
% 4.90/5.15 tff(7069,plain,
% 4.90/5.15 (mult(mult(mult(mult(mult(a, c), mult(b, a)), mult(a, c)), b), a) = mult(mult(mult(mult(a, c), a), mult(mult(mult(b, c), a), b)), a)),
% 4.90/5.15 inference(symmetry,[status(thm)],[6902])).
% 4.90/5.15 tff(7070,plain,
% 4.90/5.15 (mult(mult(mult(mult(a, c), mult(b, a)), mult(a, c)), mult(b, a)) = mult(mult(mult(mult(mult(a, c), mult(b, a)), mult(a, c)), b), a)),
% 4.90/5.15 inference(symmetry,[status(thm)],[6785])).
% 4.90/5.15 tff(7071,assumption,(mult(mult(mult(mult(a, c), mult(b, a)), mult(a, c)), mult(b, a)) = mult(mult(mult(a, c), mult(b, a)), mult(mult(a, c), mult(b, a)))), introduced(assumption)).
% 4.90/5.15 tff(7072,plain,
% 4.90/5.15 (mult(mult(mult(a, c), mult(b, a)), mult(mult(a, c), mult(b, a))) = mult(mult(mult(mult(a, c), mult(b, a)), mult(a, c)), mult(b, a))),
% 4.90/5.15 inference(symmetry,[status(thm)],[7071])).
% 4.90/5.15 tff(7073,plain,
% 4.90/5.15 (mult(mult(mult(a, c), mult(b, a)), mult(mult(a, c), mult(b, a))) = mult(mult(mult(a, c), mult(b, a)), mult(mult(mult(a, c), b), a))),
% 4.90/5.15 inference(transitivity,[status(thm)],[7072, 7070, 7069, 6761, 7068, 7063, 7056, 7055, 7051, 7050, 7047])).
% 4.90/5.15 tff(7074,plain,
% 4.90/5.15 (ld(mult(mult(a, c), mult(b, a)), mult(mult(mult(a, c), mult(b, a)), mult(mult(a, c), mult(b, a)))) = ld(mult(mult(a, c), mult(b, a)), mult(mult(mult(a, c), mult(b, a)), mult(mult(mult(a, c), b), a)))),
% 4.90/5.15 inference(monotonicity,[status(thm)],[7073])).
% 4.90/5.15 tff(7075,plain,
% 4.90/5.15 (ld(mult(mult(a, c), mult(b, a)), mult(mult(mult(a, c), mult(b, a)), mult(mult(mult(a, c), b), a))) = ld(mult(mult(a, c), mult(b, a)), mult(mult(mult(a, c), mult(b, a)), mult(mult(a, c), mult(b, a))))),
% 4.90/5.15 inference(symmetry,[status(thm)],[7074])).
% 4.90/5.15 tff(7076,plain,
% 4.90/5.15 (mult(mult(mult(a, c), b), a) = mult(mult(a, c), mult(b, a))),
% 4.90/5.15 inference(transitivity,[status(thm)],[6956, 7075, 6939])).
% 4.90/5.15 tff(7077,plain,
% 4.90/5.15 ($false),
% 4.90/5.15 inference(unit_resolution,[status(thm)],[614, 7076])).
% 4.90/5.15 tff(7078,plain,((~(mult(mult(mult(mult(a, c), mult(b, a)), mult(a, c)), mult(b, a)) = mult(mult(mult(a, c), mult(b, a)), mult(mult(a, c), mult(b, a))))) | (mult(mult(mult(a, c), b), a) = mult(mult(a, c), mult(b, a))) | (~(mult(mult(mult(mult(a, c), mult(b, a)), mult(a, mult(a, c))), b) = mult(mult(mult(a, c), mult(b, a)), mult(mult(a, mult(a, c)), b)))) | (~(mult(mult(mult(mult(a, c), a), mult(mult(mult(b, c), a), b)), a) = mult(mult(mult(a, c), a), mult(a, mult(mult(mult(b, c), a), b))))) | (~(mult(mult(mult(mult(mult(a, c), mult(b, a)), mult(a, c)), b), a) = mult(mult(mult(mult(a, c), mult(b, a)), mult(a, c)), mult(b, a)))) | (~(mult(mult(a, b), c) = mult(a, mult(c, b)))) | (~(mult(mult(a, mult(b, c)), a) = mult(a, mult(mult(b, c), a)))) | (~(mult(mult(a, c), mult(a, b)) = mult(a, mult(mult(a, b), c)))) | (~(mult(mult(a, c), b) = mult(a, mult(b, c)))) | (~(mult(mult(a, mult(a, c)), b) = mult(a, mult(b, mult(a, c)))))), inference(lemma,lemma(discharge,[]))).
% 4.99/5.15 tff(7079,plain,
% 4.99/5.15 (~(mult(mult(mult(mult(a, c), mult(b, a)), mult(a, mult(a, c))), b) = mult(mult(mult(a, c), mult(b, a)), mult(mult(a, mult(a, c)), b)))),
% 4.99/5.15 inference(unit_resolution,[status(thm)],[7078, 7046, 6785, 6918, 614, 106, 510, 593, 117, 1220])).
% 4.99/5.15 tff(7080,plain,
% 4.99/5.15 (((~(mult(mult(mult(mult(a, c), mult(b, a)), b), mult(a, mult(a, c))) = mult(mult(mult(a, c), mult(b, a)), mult(b, mult(a, mult(a, c)))))) | (~(mult(mult(mult(mult(a, c), mult(b, a)), mult(a, mult(a, c))), b) = mult(mult(mult(a, c), mult(b, a)), mult(mult(a, mult(a, c)), b))))) | (mult(mult(mult(mult(a, c), mult(b, a)), mult(a, mult(a, c))), b) = mult(mult(mult(a, c), mult(b, a)), mult(mult(a, mult(a, c)), b)))),
% 4.99/5.15 inference(tautology,[status(thm)],[])).
% 4.99/5.15 tff(7081,plain,
% 4.99/5.15 ((~(mult(mult(mult(mult(a, c), mult(b, a)), b), mult(a, mult(a, c))) = mult(mult(mult(a, c), mult(b, a)), mult(b, mult(a, mult(a, c)))))) | (~(mult(mult(mult(mult(a, c), mult(b, a)), mult(a, mult(a, c))), b) = mult(mult(mult(a, c), mult(b, a)), mult(mult(a, mult(a, c)), b))))),
% 4.99/5.15 inference(unit_resolution,[status(thm)],[7080, 7079])).
% 4.99/5.15 tff(7082,plain,
% 4.99/5.15 (((~![X0: $i, X1: $i, X2: $i] : ((~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X2, X1)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X1, X2)))))) | (~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X1, X2)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X2, X1)))))))) | ((~((~(mult(mult(mult(mult(a, c), mult(b, a)), b), mult(a, mult(a, c))) = mult(mult(mult(a, c), mult(b, a)), mult(b, mult(a, mult(a, c)))))) | (~(mult(mult(mult(mult(a, c), mult(b, a)), mult(a, mult(a, c))), b) = mult(mult(mult(a, c), mult(b, a)), mult(mult(a, mult(a, c)), b)))))) | (~((~(mult(mult(mult(mult(a, c), mult(b, a)), b), mult(a, mult(a, c))) = mult(mult(mult(a, c), mult(b, a)), mult(mult(a, mult(a, c)), b)))) | (~(mult(mult(mult(mult(a, c), mult(b, a)), mult(a, mult(a, c))), b) = mult(mult(mult(a, c), mult(b, a)), mult(b, mult(a, mult(a, c)))))))))) <=> ((~![X0: $i, X1: $i, X2: $i] : ((~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X2, X1)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X1, X2)))))) | (~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X1, X2)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X2, X1)))))))) | (~((~(mult(mult(mult(mult(a, c), mult(b, a)), b), mult(a, mult(a, c))) = mult(mult(mult(a, c), mult(b, a)), mult(b, mult(a, mult(a, c)))))) | (~(mult(mult(mult(mult(a, c), mult(b, a)), mult(a, mult(a, c))), b) = mult(mult(mult(a, c), mult(b, a)), mult(mult(a, mult(a, c)), b)))))) | (~((~(mult(mult(mult(mult(a, c), mult(b, a)), b), mult(a, mult(a, c))) = mult(mult(mult(a, c), mult(b, a)), mult(mult(a, mult(a, c)), b)))) | (~(mult(mult(mult(mult(a, c), mult(b, a)), mult(a, mult(a, c))), b) = mult(mult(mult(a, c), mult(b, a)), mult(b, mult(a, mult(a, c)))))))))),
% 4.99/5.15 inference(rewrite,[status(thm)],[])).
% 4.99/5.15 tff(7083,plain,
% 4.99/5.15 (((~((~(mult(mult(mult(mult(a, c), mult(b, a)), b), mult(a, mult(a, c))) = mult(mult(mult(a, c), mult(b, a)), mult(mult(a, mult(a, c)), b)))) | (~(mult(mult(mult(mult(a, c), mult(b, a)), mult(a, mult(a, c))), b) = mult(mult(mult(a, c), mult(b, a)), mult(b, mult(a, mult(a, c)))))))) | (~((~(mult(mult(mult(mult(a, c), mult(b, a)), b), mult(a, mult(a, c))) = mult(mult(mult(a, c), mult(b, a)), mult(b, mult(a, mult(a, c)))))) | (~(mult(mult(mult(mult(a, c), mult(b, a)), mult(a, mult(a, c))), b) = mult(mult(mult(a, c), mult(b, a)), mult(mult(a, mult(a, c)), b))))))) <=> ((~((~(mult(mult(mult(mult(a, c), mult(b, a)), b), mult(a, mult(a, c))) = mult(mult(mult(a, c), mult(b, a)), mult(b, mult(a, mult(a, c)))))) | (~(mult(mult(mult(mult(a, c), mult(b, a)), mult(a, mult(a, c))), b) = mult(mult(mult(a, c), mult(b, a)), mult(mult(a, mult(a, c)), b)))))) | (~((~(mult(mult(mult(mult(a, c), mult(b, a)), b), mult(a, mult(a, c))) = mult(mult(mult(a, c), mult(b, a)), mult(mult(a, mult(a, c)), b)))) | (~(mult(mult(mult(mult(a, c), mult(b, a)), mult(a, mult(a, c))), b) = mult(mult(mult(a, c), mult(b, a)), mult(b, mult(a, mult(a, c)))))))))),
% 4.99/5.15 inference(rewrite,[status(thm)],[])).
% 4.99/5.15 tff(7084,plain,
% 4.99/5.15 (((~![X0: $i, X1: $i, X2: $i] : ((~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X2, X1)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X1, X2)))))) | (~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X1, X2)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X2, X1)))))))) | ((~((~(mult(mult(mult(mult(a, c), mult(b, a)), b), mult(a, mult(a, c))) = mult(mult(mult(a, c), mult(b, a)), mult(mult(a, mult(a, c)), b)))) | (~(mult(mult(mult(mult(a, c), mult(b, a)), mult(a, mult(a, c))), b) = mult(mult(mult(a, c), mult(b, a)), mult(b, mult(a, mult(a, c)))))))) | (~((~(mult(mult(mult(mult(a, c), mult(b, a)), b), mult(a, mult(a, c))) = mult(mult(mult(a, c), mult(b, a)), mult(b, mult(a, mult(a, c)))))) | (~(mult(mult(mult(mult(a, c), mult(b, a)), mult(a, mult(a, c))), b) = mult(mult(mult(a, c), mult(b, a)), mult(mult(a, mult(a, c)), b)))))))) <=> ((~![X0: $i, X1: $i, X2: $i] : ((~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X2, X1)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X1, X2)))))) | (~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X1, X2)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X2, X1)))))))) | ((~((~(mult(mult(mult(mult(a, c), mult(b, a)), b), mult(a, mult(a, c))) = mult(mult(mult(a, c), mult(b, a)), mult(b, mult(a, mult(a, c)))))) | (~(mult(mult(mult(mult(a, c), mult(b, a)), mult(a, mult(a, c))), b) = mult(mult(mult(a, c), mult(b, a)), mult(mult(a, mult(a, c)), b)))))) | (~((~(mult(mult(mult(mult(a, c), mult(b, a)), b), mult(a, mult(a, c))) = mult(mult(mult(a, c), mult(b, a)), mult(mult(a, mult(a, c)), b)))) | (~(mult(mult(mult(mult(a, c), mult(b, a)), mult(a, mult(a, c))), b) = mult(mult(mult(a, c), mult(b, a)), mult(b, mult(a, mult(a, c))))))))))),
% 4.99/5.15 inference(monotonicity,[status(thm)],[7083])).
% 4.99/5.15 tff(7085,plain,
% 4.99/5.15 (((~![X0: $i, X1: $i, X2: $i] : ((~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X2, X1)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X1, X2)))))) | (~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X1, X2)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X2, X1)))))))) | ((~((~(mult(mult(mult(mult(a, c), mult(b, a)), b), mult(a, mult(a, c))) = mult(mult(mult(a, c), mult(b, a)), mult(mult(a, mult(a, c)), b)))) | (~(mult(mult(mult(mult(a, c), mult(b, a)), mult(a, mult(a, c))), b) = mult(mult(mult(a, c), mult(b, a)), mult(b, mult(a, mult(a, c)))))))) | (~((~(mult(mult(mult(mult(a, c), mult(b, a)), b), mult(a, mult(a, c))) = mult(mult(mult(a, c), mult(b, a)), mult(b, mult(a, mult(a, c)))))) | (~(mult(mult(mult(mult(a, c), mult(b, a)), mult(a, mult(a, c))), b) = mult(mult(mult(a, c), mult(b, a)), mult(mult(a, mult(a, c)), b)))))))) <=> ((~![X0: $i, X1: $i, X2: $i] : ((~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X2, X1)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X1, X2)))))) | (~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X1, X2)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X2, X1)))))))) | (~((~(mult(mult(mult(mult(a, c), mult(b, a)), b), mult(a, mult(a, c))) = mult(mult(mult(a, c), mult(b, a)), mult(b, mult(a, mult(a, c)))))) | (~(mult(mult(mult(mult(a, c), mult(b, a)), mult(a, mult(a, c))), b) = mult(mult(mult(a, c), mult(b, a)), mult(mult(a, mult(a, c)), b)))))) | (~((~(mult(mult(mult(mult(a, c), mult(b, a)), b), mult(a, mult(a, c))) = mult(mult(mult(a, c), mult(b, a)), mult(mult(a, mult(a, c)), b)))) | (~(mult(mult(mult(mult(a, c), mult(b, a)), mult(a, mult(a, c))), b) = mult(mult(mult(a, c), mult(b, a)), mult(b, mult(a, mult(a, c)))))))))),
% 4.99/5.15 inference(transitivity,[status(thm)],[7084, 7082])).
% 4.99/5.15 tff(7086,plain,
% 4.99/5.15 ((~![X0: $i, X1: $i, X2: $i] : ((~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X2, X1)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X1, X2)))))) | (~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X1, X2)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X2, X1)))))))) | ((~((~(mult(mult(mult(mult(a, c), mult(b, a)), b), mult(a, mult(a, c))) = mult(mult(mult(a, c), mult(b, a)), mult(mult(a, mult(a, c)), b)))) | (~(mult(mult(mult(mult(a, c), mult(b, a)), mult(a, mult(a, c))), b) = mult(mult(mult(a, c), mult(b, a)), mult(b, mult(a, mult(a, c)))))))) | (~((~(mult(mult(mult(mult(a, c), mult(b, a)), b), mult(a, mult(a, c))) = mult(mult(mult(a, c), mult(b, a)), mult(b, mult(a, mult(a, c)))))) | (~(mult(mult(mult(mult(a, c), mult(b, a)), mult(a, mult(a, c))), b) = mult(mult(mult(a, c), mult(b, a)), mult(mult(a, mult(a, c)), b)))))))),
% 4.99/5.16 inference(quant_inst,[status(thm)],[])).
% 4.99/5.16 tff(7087,plain,
% 4.99/5.16 ((~![X0: $i, X1: $i, X2: $i] : ((~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X2, X1)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X1, X2)))))) | (~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X1, X2)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X2, X1)))))))) | (~((~(mult(mult(mult(mult(a, c), mult(b, a)), b), mult(a, mult(a, c))) = mult(mult(mult(a, c), mult(b, a)), mult(b, mult(a, mult(a, c)))))) | (~(mult(mult(mult(mult(a, c), mult(b, a)), mult(a, mult(a, c))), b) = mult(mult(mult(a, c), mult(b, a)), mult(mult(a, mult(a, c)), b)))))) | (~((~(mult(mult(mult(mult(a, c), mult(b, a)), b), mult(a, mult(a, c))) = mult(mult(mult(a, c), mult(b, a)), mult(mult(a, mult(a, c)), b)))) | (~(mult(mult(mult(mult(a, c), mult(b, a)), mult(a, mult(a, c))), b) = mult(mult(mult(a, c), mult(b, a)), mult(b, mult(a, mult(a, c))))))))),
% 4.99/5.16 inference(modus_ponens,[status(thm)],[7086, 7085])).
% 4.99/5.16 tff(7088,plain,
% 4.99/5.16 ((~((~(mult(mult(mult(mult(a, c), mult(b, a)), b), mult(a, mult(a, c))) = mult(mult(mult(a, c), mult(b, a)), mult(b, mult(a, mult(a, c)))))) | (~(mult(mult(mult(mult(a, c), mult(b, a)), mult(a, mult(a, c))), b) = mult(mult(mult(a, c), mult(b, a)), mult(mult(a, mult(a, c)), b)))))) | (~((~(mult(mult(mult(mult(a, c), mult(b, a)), b), mult(a, mult(a, c))) = mult(mult(mult(a, c), mult(b, a)), mult(mult(a, mult(a, c)), b)))) | (~(mult(mult(mult(mult(a, c), mult(b, a)), mult(a, mult(a, c))), b) = mult(mult(mult(a, c), mult(b, a)), mult(b, mult(a, mult(a, c))))))))),
% 4.99/5.16 inference(unit_resolution,[status(thm)],[7087, 30])).
% 4.99/5.16 tff(7089,plain,
% 4.99/5.16 (~((~(mult(mult(mult(mult(a, c), mult(b, a)), b), mult(a, mult(a, c))) = mult(mult(mult(a, c), mult(b, a)), mult(mult(a, mult(a, c)), b)))) | (~(mult(mult(mult(mult(a, c), mult(b, a)), mult(a, mult(a, c))), b) = mult(mult(mult(a, c), mult(b, a)), mult(b, mult(a, mult(a, c)))))))),
% 4.99/5.16 inference(unit_resolution,[status(thm)],[7088, 7081])).
% 4.99/5.16 tff(7090,plain,
% 4.99/5.16 (((~(mult(mult(mult(mult(a, c), mult(b, a)), b), mult(a, mult(a, c))) = mult(mult(mult(a, c), mult(b, a)), mult(mult(a, mult(a, c)), b)))) | (~(mult(mult(mult(mult(a, c), mult(b, a)), mult(a, mult(a, c))), b) = mult(mult(mult(a, c), mult(b, a)), mult(b, mult(a, mult(a, c))))))) | (mult(mult(mult(mult(a, c), mult(b, a)), mult(a, mult(a, c))), b) = mult(mult(mult(a, c), mult(b, a)), mult(b, mult(a, mult(a, c)))))),
% 4.99/5.16 inference(tautology,[status(thm)],[])).
% 4.99/5.16 tff(7091,plain,
% 4.99/5.16 (mult(mult(mult(mult(a, c), mult(b, a)), mult(a, mult(a, c))), b) = mult(mult(mult(a, c), mult(b, a)), mult(b, mult(a, mult(a, c))))),
% 4.99/5.16 inference(unit_resolution,[status(thm)],[7090, 7089])).
% 4.99/5.16 tff(7092,plain,
% 4.99/5.16 (mult(mult(b, mult(a, mult(a, c))), b) = mult(a, mult(mult(mult(b, c), a), b))),
% 4.99/5.16 inference(transitivity,[status(thm)],[7060, 7065, 6137, 6159])).
% 4.99/5.16 tff(7093,plain,
% 4.99/5.16 (mult(mult(mult(a, c), a), mult(mult(b, mult(a, mult(a, c))), b)) = mult(mult(mult(a, c), a), mult(a, mult(mult(mult(b, c), a), b)))),
% 4.99/5.16 inference(monotonicity,[status(thm)],[7092])).
% 4.99/5.16 tff(7094,plain,
% 4.99/5.16 (mult(mult(mult(a, c), a), mult(a, mult(mult(mult(b, c), a), b))) = mult(mult(mult(a, c), a), mult(mult(b, mult(a, mult(a, c))), b))),
% 4.99/5.16 inference(symmetry,[status(thm)],[7093])).
% 4.99/5.16 tff(7095,plain,
% 4.99/5.16 (mult(mult(mult(a, c), mult(b, a)), mult(mult(a, c), mult(b, a))) = mult(mult(mult(mult(a, c), mult(b, a)), mult(a, c)), mult(b, a))),
% 4.99/5.16 inference(symmetry,[status(thm)],[7046])).
% 4.99/5.16 tff(7096,plain,
% 4.99/5.16 (mult(mult(mult(a, c), mult(b, a)), mult(mult(a, c), mult(b, a))) = mult(mult(mult(a, c), mult(b, a)), mult(mult(a, mult(c, b)), a))),
% 4.99/5.16 inference(transitivity,[status(thm)],[7095, 7070, 7069, 6918, 7094, 7056, 7055, 7091, 6760, 6751])).
% 4.99/5.16 tff(7097,plain,
% 4.99/5.16 (ld(mult(mult(a, c), mult(b, a)), mult(mult(mult(a, c), mult(b, a)), mult(mult(a, c), mult(b, a)))) = ld(mult(mult(a, c), mult(b, a)), mult(mult(mult(a, c), mult(b, a)), mult(mult(a, mult(c, b)), a)))),
% 4.99/5.16 inference(monotonicity,[status(thm)],[7096])).
% 4.99/5.16 tff(7098,plain,
% 4.99/5.16 (mult(a, mult(b, mult(c, a))) = mult(mult(mult(a, b), c), a)),
% 4.99/5.16 inference(transitivity,[status(thm)],[1737, 6925, 1526, 6977, 7097, 6748, 108])).
% 4.99/5.16 tff(7099,plain,
% 4.99/5.16 ($false),
% 4.99/5.16 inference(unit_resolution,[status(thm)],[194, 7098])).
% 4.99/5.16 tff(7100,plain,((~(mult(mult(a, mult(c, a)), b) = mult(a, mult(b, mult(c, a))))) | (~(mult(mult(a, b), c) = mult(a, mult(c, b)))) | (~(mult(mult(mult(mult(mult(a, c), mult(b, a)), mult(a, c)), b), a) = mult(mult(mult(mult(a, c), mult(b, a)), mult(a, c)), mult(b, a)))) | (~(mult(mult(a, mult(b, c)), a) = mult(a, mult(mult(b, c), a)))) | (~(mult(mult(a, c), mult(a, b)) = mult(a, mult(mult(a, b), c)))) | (~(mult(mult(a, c), b) = mult(a, mult(b, c)))) | (mult(mult(mult(a, c), b), a) = mult(mult(a, c), mult(b, a))) | (~(mult(mult(a, mult(a, c)), b) = mult(a, mult(b, mult(a, c))))) | (~(mult(mult(mult(mult(a, c), mult(b, a)), a), c) = mult(mult(mult(a, c), mult(b, a)), mult(a, c)))) | (~(mult(mult(mult(mult(mult(a, c), mult(b, a)), mult(a, c)), a), b) = mult(mult(mult(mult(a, c), mult(b, a)), mult(a, c)), mult(a, b)))) | (~(mult(mult(mult(mult(b, c), a), a), mult(a, b)) = mult(mult(mult(b, c), a), mult(mult(a, b), a)))) | (~(mult(mult(a, mult(a, b)), c) = mult(a, mult(c, mult(a, b))))) | (~(mult(mult(a, mult(c, b)), a) = mult(a, mult(mult(c, b), a))))), inference(lemma,lemma(discharge,[]))).
% 4.99/5.16 tff(7101,plain,
% 4.99/5.16 (~(mult(mult(a, mult(c, a)), b) = mult(a, mult(b, mult(c, a))))),
% 4.99/5.16 inference(unit_resolution,[status(thm)],[7100, 6840, 106, 510, 593, 117, 614, 1220, 6766, 6770, 6666, 269, 707])).
% 4.99/5.16 tff(7102,plain,
% 4.99/5.16 ((~(mult(mult(a, b), mult(c, a)) = mult(a, mult(mult(c, a), b)))) | (~(mult(mult(a, mult(c, a)), b) = mult(a, mult(b, mult(c, a)))))),
% 4.99/5.16 inference(unit_resolution,[status(thm)],[735, 7101])).
% 4.99/5.16 tff(7103,plain,
% 4.99/5.16 (~((~(mult(mult(a, b), mult(c, a)) = mult(a, mult(b, mult(c, a))))) | (~(mult(mult(a, mult(c, a)), b) = mult(a, mult(mult(c, a), b)))))),
% 4.99/5.16 inference(unit_resolution,[status(thm)],[201, 7102])).
% 4.99/5.16 tff(7104,plain,
% 4.99/5.16 (mult(mult(a, mult(c, a)), b) = mult(a, mult(mult(c, a), b))),
% 4.99/5.16 inference(unit_resolution,[status(thm)],[739, 7103])).
% 4.99/5.16 tff(7105,plain,
% 4.99/5.16 (mult(mult(a, c), mult(mult(a, b), a)) = mult(mult(mult(a, c), mult(b, a)), a)),
% 4.99/5.16 inference(transitivity,[status(thm)],[1532, 1529])).
% 4.99/5.16 tff(7106,plain,
% 4.99/5.16 (mult(mult(mult(a, c), mult(mult(a, b), a)), c) = mult(mult(mult(mult(a, c), mult(b, a)), a), c)),
% 4.99/5.16 inference(monotonicity,[status(thm)],[7105])).
% 4.99/5.16 tff(7107,plain,
% 4.99/5.16 (mult(mult(mult(mult(a, c), mult(b, a)), a), c) = mult(mult(mult(a, c), mult(mult(a, b), a)), c)),
% 4.99/5.16 inference(symmetry,[status(thm)],[7106])).
% 4.99/5.16 tff(7108,plain,
% 4.99/5.16 (mult(mult(mult(a, c), mult(b, a)), mult(a, c)) = mult(mult(mult(a, c), mult(mult(a, b), a)), c)),
% 4.99/5.16 inference(transitivity,[status(thm)],[7001, 7107])).
% 4.99/5.16 tff(7109,plain,
% 4.99/5.16 (mult(mult(mult(mult(a, c), mult(b, a)), mult(a, c)), a) = mult(mult(mult(mult(a, c), mult(mult(a, b), a)), c), a)),
% 4.99/5.16 inference(monotonicity,[status(thm)],[7108])).
% 4.99/5.16 tff(7110,plain,
% 4.99/5.16 (mult(mult(mult(a, c), mult(b, a)), mult(a, mult(c, a))) = mult(mult(mult(mult(a, c), mult(mult(a, b), a)), c), a)),
% 4.99/5.16 inference(transitivity,[status(thm)],[6932, 7005, 7109])).
% 4.99/5.16 tff(7111,plain,
% 4.99/5.16 (mult(mult(mult(mult(a, c), mult(b, a)), mult(a, mult(c, a))), b) = mult(mult(mult(mult(mult(a, c), mult(mult(a, b), a)), c), a), b)),
% 4.99/5.16 inference(monotonicity,[status(thm)],[7110])).
% 4.99/5.16 tff(7112,plain,
% 4.99/5.16 (mult(mult(mult(mult(mult(a, c), mult(mult(a, b), a)), c), a), b) = mult(mult(mult(mult(a, c), mult(b, a)), mult(a, mult(c, a))), b)),
% 4.99/5.16 inference(symmetry,[status(thm)],[7111])).
% 4.99/5.16 tff(7113,plain,
% 4.99/5.16 (mult(mult(mult(a, c), mult(b, a)), mult(mult(a, c), a)) = mult(mult(mult(mult(a, c), mult(mult(a, b), a)), c), a)),
% 4.99/5.16 inference(transitivity,[status(thm)],[7005, 7109])).
% 4.99/5.16 tff(7114,plain,
% 4.99/5.16 (mult(mult(mult(mult(a, c), mult(b, a)), mult(mult(a, c), a)), b) = mult(mult(mult(mult(mult(a, c), mult(mult(a, b), a)), c), a), b)),
% 4.99/5.16 inference(monotonicity,[status(thm)],[7113])).
% 4.99/5.16 tff(7115,plain,
% 4.99/5.16 (mult(mult(mult(mult(a, c), mult(b, a)), mult(mult(a, c), a)), b) = mult(mult(mult(mult(a, c), mult(b, a)), mult(a, mult(c, a))), b)),
% 4.99/5.16 inference(transitivity,[status(thm)],[7114, 7112])).
% 4.99/5.16 tff(7116,plain,
% 4.99/5.16 ((mult(mult(mult(mult(a, c), mult(b, a)), mult(mult(a, c), a)), b) = mult(mult(mult(a, c), mult(b, a)), mult(mult(mult(a, c), a), b))) <=> (mult(mult(mult(mult(a, c), mult(b, a)), mult(a, mult(c, a))), b) = mult(mult(mult(a, c), mult(b, a)), mult(mult(a, mult(c, a)), b)))),
% 4.99/5.16 inference(monotonicity,[status(thm)],[7115, 6931])).
% 4.99/5.16 tff(7117,assumption,(~(mult(mult(mult(mult(a, c), mult(b, a)), mult(mult(a, c), a)), b) = mult(mult(mult(a, c), mult(b, a)), mult(b, mult(mult(a, c), a))))), introduced(assumption)).
% 4.99/5.16 tff(7118,plain,
% 4.99/5.16 ((~(mult(mult(mult(mult(a, c), mult(b, a)), b), mult(mult(a, c), a)) = mult(mult(mult(a, c), mult(b, a)), mult(mult(mult(a, c), a), b)))) | (~(mult(mult(mult(mult(a, c), mult(b, a)), mult(mult(a, c), a)), b) = mult(mult(mult(a, c), mult(b, a)), mult(b, mult(mult(a, c), a)))))),
% 4.99/5.16 inference(unit_resolution,[status(thm)],[6992, 7117])).
% 4.99/5.16 tff(7119,plain,
% 4.99/5.16 (~((~(mult(mult(mult(mult(a, c), mult(b, a)), b), mult(mult(a, c), a)) = mult(mult(mult(a, c), mult(b, a)), mult(b, mult(mult(a, c), a))))) | (~(mult(mult(mult(mult(a, c), mult(b, a)), mult(mult(a, c), a)), b) = mult(mult(mult(a, c), mult(b, a)), mult(mult(mult(a, c), a), b)))))),
% 4.99/5.16 inference(unit_resolution,[status(thm)],[6990, 7118])).
% 4.99/5.16 tff(7120,plain,
% 4.99/5.16 (mult(mult(mult(mult(a, c), mult(b, a)), mult(mult(a, c), a)), b) = mult(mult(mult(a, c), mult(b, a)), mult(mult(mult(a, c), a), b))),
% 4.99/5.16 inference(unit_resolution,[status(thm)],[6982, 7119])).
% 4.99/5.16 tff(7121,plain,
% 4.99/5.16 (mult(mult(mult(mult(a, c), mult(b, a)), mult(a, mult(c, a))), b) = mult(mult(mult(a, c), mult(b, a)), mult(mult(a, mult(c, a)), b))),
% 4.99/5.16 inference(modus_ponens,[status(thm)],[7120, 7116])).
% 4.99/5.16 tff(7122,plain,
% 4.99/5.16 (~(mult(mult(mult(mult(a, c), mult(b, a)), mult(a, c)), mult(a, b)) = mult(mult(mult(a, c), mult(b, a)), mult(mult(a, c), mult(a, b))))),
% 4.99/5.16 inference(unit_resolution,[status(thm)],[6961, 7121, 6842, 6774, 614])).
% 4.99/5.16 tff(7123,plain,
% 4.99/5.16 ((~(mult(mult(mult(mult(a, c), mult(b, a)), mult(a, b)), mult(a, c)) = mult(mult(mult(a, c), mult(b, a)), mult(mult(a, b), mult(a, c))))) | (~(mult(mult(mult(mult(a, c), mult(b, a)), mult(a, c)), mult(a, b)) = mult(mult(mult(a, c), mult(b, a)), mult(mult(a, c), mult(a, b)))))),
% 4.99/5.16 inference(unit_resolution,[status(thm)],[6963, 7122])).
% 4.99/5.16 tff(7124,plain,
% 4.99/5.16 (~((~(mult(mult(mult(mult(a, c), mult(b, a)), mult(a, b)), mult(a, c)) = mult(mult(mult(a, c), mult(b, a)), mult(mult(a, c), mult(a, b))))) | (~(mult(mult(mult(mult(a, c), mult(b, a)), mult(a, c)), mult(a, b)) = mult(mult(mult(a, c), mult(b, a)), mult(mult(a, b), mult(a, c))))))),
% 4.99/5.16 inference(unit_resolution,[status(thm)],[6968, 7123])).
% 4.99/5.16 tff(7125,plain,
% 4.99/5.16 (mult(mult(mult(mult(a, c), mult(b, a)), mult(a, c)), mult(a, b)) = mult(mult(mult(a, c), mult(b, a)), mult(mult(a, b), mult(a, c)))),
% 4.99/5.16 inference(unit_resolution,[status(thm)],[6970, 7124])).
% 4.99/5.16 tff(7126,plain,
% 4.99/5.16 (mult(mult(mult(mult(a, c), mult(mult(a, b), a)), c), a) = mult(mult(mult(mult(a, c), mult(b, a)), mult(a, c)), a)),
% 4.99/5.16 inference(symmetry,[status(thm)],[7109])).
% 4.99/5.16 tff(7127,plain,
% 4.99/5.16 (mult(mult(mult(mult(mult(a, c), mult(mult(a, b), a)), c), a), b) = mult(mult(mult(mult(mult(a, c), mult(b, a)), mult(a, c)), a), b)),
% 4.99/5.16 inference(monotonicity,[status(thm)],[7126])).
% 4.99/5.16 tff(7128,plain,
% 4.99/5.16 (mult(mult(mult(a, c), mult(b, a)), mult(mult(mult(a, c), a), b)) = mult(mult(mult(mult(a, c), mult(b, a)), mult(mult(a, c), a)), b)),
% 4.99/5.16 inference(symmetry,[status(thm)],[7120])).
% 4.99/5.16 tff(7129,plain,
% 4.99/5.16 (mult(mult(mult(a, c), mult(b, a)), mult(mult(a, c), mult(b, a))) = mult(mult(mult(a, c), mult(b, a)), mult(mult(a, mult(c, b)), a))),
% 4.99/5.16 inference(transitivity,[status(thm)],[6929, 7128, 7114, 7127, 6774, 7125, 6751])).
% 4.99/5.16 tff(7130,plain,
% 4.99/5.16 (ld(mult(mult(a, c), mult(b, a)), mult(mult(mult(a, c), mult(b, a)), mult(mult(a, c), mult(b, a)))) = ld(mult(mult(a, c), mult(b, a)), mult(mult(mult(a, c), mult(b, a)), mult(mult(a, mult(c, b)), a)))),
% 4.99/5.16 inference(monotonicity,[status(thm)],[7129])).
% 4.99/5.16 tff(7131,plain,
% 4.99/5.16 (mult(a, mult(mult(c, a), b)) = mult(a, mult(c, mult(a, b)))),
% 4.99/5.16 inference(transitivity,[status(thm)],[983, 6925, 1526, 6977, 7130, 6748, 707, 5359])).
% 4.99/5.16 tff(7132,plain,
% 4.99/5.16 (ld(a, mult(a, mult(mult(c, a), b))) = ld(a, mult(a, mult(c, mult(a, b))))),
% 4.99/5.16 inference(monotonicity,[status(thm)],[7131])).
% 4.99/5.16 tff(7133,plain,
% 4.99/5.16 (mult(mult(c, a), b) = mult(c, mult(a, b))),
% 4.99/5.16 inference(transitivity,[status(thm)],[210, 7132, 667])).
% 4.99/5.16 tff(7134,plain,
% 4.99/5.16 ($false),
% 4.99/5.16 inference(unit_resolution,[status(thm)],[570, 7133])).
% 4.99/5.16 tff(7135,plain,((mult(mult(mult(mult(a, c), mult(b, a)), mult(mult(a, c), a)), b) = mult(mult(mult(a, c), mult(b, a)), mult(b, mult(mult(a, c), a)))) | (mult(mult(c, a), b) = mult(c, mult(a, b))) | (~(mult(mult(a, mult(c, a)), b) = mult(a, mult(mult(c, a), b)))) | (~(mult(mult(a, mult(c, b)), a) = mult(a, mult(mult(c, b), a)))) | (~(mult(mult(mult(mult(mult(a, c), mult(b, a)), mult(a, c)), a), b) = mult(mult(mult(mult(a, c), mult(b, a)), mult(a, c)), mult(a, b)))) | (~(mult(mult(a, b), c) = mult(a, mult(c, b)))) | (~(mult(mult(mult(mult(a, c), mult(b, a)), a), c) = mult(mult(mult(a, c), mult(b, a)), mult(a, c)))) | (~(mult(mult(mult(mult(a, c), mult(b, a)), mult(a, c)), a) = mult(mult(mult(a, c), mult(b, a)), mult(mult(a, c), a)))) | (mult(mult(mult(a, c), b), a) = mult(mult(a, c), mult(b, a)))), inference(lemma,lemma(discharge,[]))).
% 4.99/5.16 tff(7136,plain,
% 4.99/5.16 (mult(mult(mult(mult(a, c), mult(b, a)), mult(mult(a, c), a)), b) = mult(mult(mult(a, c), mult(b, a)), mult(b, mult(mult(a, c), a)))),
% 4.99/5.16 inference(unit_resolution,[status(thm)],[7135, 7104, 6826, 707, 6770, 106, 6840, 570, 614])).
% 4.99/5.16 tff(7137,plain,
% 4.99/5.16 (~(mult(mult(mult(mult(a, c), mult(b, a)), mult(a, c)), mult(b, a)) = mult(mult(mult(a, c), mult(b, a)), mult(mult(b, a), mult(a, c))))),
% 4.99/5.16 inference(unit_resolution,[status(thm)],[7029, 7136, 6784, 6826, 6840, 1526])).
% 4.99/5.16 tff(7138,plain,
% 4.99/5.16 ((~(mult(mult(mult(mult(a, c), mult(b, a)), mult(b, a)), mult(a, c)) = mult(mult(mult(a, c), mult(b, a)), mult(mult(a, c), mult(b, a))))) | (~(mult(mult(mult(mult(a, c), mult(b, a)), mult(a, c)), mult(b, a)) = mult(mult(mult(a, c), mult(b, a)), mult(mult(b, a), mult(a, c)))))),
% 4.99/5.16 inference(unit_resolution,[status(thm)],[7031, 7137])).
% 4.99/5.16 tff(7139,plain,
% 4.99/5.16 (~((~(mult(mult(mult(mult(a, c), mult(b, a)), mult(a, c)), mult(b, a)) = mult(mult(mult(a, c), mult(b, a)), mult(mult(a, c), mult(b, a))))) | (~(mult(mult(mult(mult(a, c), mult(b, a)), mult(b, a)), mult(a, c)) = mult(mult(mult(a, c), mult(b, a)), mult(mult(b, a), mult(a, c))))))),
% 4.99/5.16 inference(unit_resolution,[status(thm)],[7043, 7138])).
% 4.99/5.16 tff(7140,plain,
% 4.99/5.16 (mult(mult(mult(mult(a, c), mult(b, a)), mult(a, c)), mult(b, a)) = mult(mult(mult(a, c), mult(b, a)), mult(mult(a, c), mult(b, a)))),
% 4.99/5.16 inference(unit_resolution,[status(thm)],[7045, 7139])).
% 4.99/5.16 tff(7141,plain,
% 4.99/5.16 (~(mult(mult(mult(mult(a, c), mult(b, a)), mult(a, mult(a, c))), b) = mult(mult(mult(a, c), mult(b, a)), mult(mult(a, mult(a, c)), b)))),
% 4.99/5.16 inference(unit_resolution,[status(thm)],[7078, 7140, 6766, 6761, 614, 106, 510, 593, 117, 1220])).
% 4.99/5.16 tff(7142,plain,
% 4.99/5.16 ((~(mult(mult(mult(mult(a, c), mult(b, a)), b), mult(a, mult(a, c))) = mult(mult(mult(a, c), mult(b, a)), mult(b, mult(a, mult(a, c)))))) | (~(mult(mult(mult(mult(a, c), mult(b, a)), mult(a, mult(a, c))), b) = mult(mult(mult(a, c), mult(b, a)), mult(mult(a, mult(a, c)), b))))),
% 4.99/5.16 inference(unit_resolution,[status(thm)],[7080, 7141])).
% 4.99/5.16 tff(7143,plain,
% 4.99/5.16 (~((~(mult(mult(mult(mult(a, c), mult(b, a)), b), mult(a, mult(a, c))) = mult(mult(mult(a, c), mult(b, a)), mult(mult(a, mult(a, c)), b)))) | (~(mult(mult(mult(mult(a, c), mult(b, a)), mult(a, mult(a, c))), b) = mult(mult(mult(a, c), mult(b, a)), mult(b, mult(a, mult(a, c)))))))),
% 4.99/5.16 inference(unit_resolution,[status(thm)],[7088, 7142])).
% 4.99/5.16 tff(7144,plain,
% 4.99/5.16 (mult(mult(mult(mult(a, c), mult(b, a)), mult(a, mult(a, c))), b) = mult(mult(mult(a, c), mult(b, a)), mult(b, mult(a, mult(a, c))))),
% 4.99/5.17 inference(unit_resolution,[status(thm)],[7090, 7143])).
% 4.99/5.17 tff(7145,plain,
% 4.99/5.17 (mult(mult(mult(a, c), a), mult(mult(b, mult(a, mult(a, c))), b)) = mult(mult(mult(a, c), a), mult(mult(mult(mult(a, b), c), a), b))),
% 4.99/5.17 inference(monotonicity,[status(thm)],[7060])).
% 4.99/5.17 tff(7146,plain,
% 4.99/5.17 (mult(mult(mult(a, c), a), mult(mult(mult(mult(a, b), c), a), b)) = mult(mult(mult(a, c), a), mult(mult(b, mult(a, mult(a, c))), b))),
% 4.99/5.17 inference(symmetry,[status(thm)],[7145])).
% 4.99/5.17 tff(7147,plain,
% 4.99/5.17 (mult(mult(mult(mult(a, b), c), a), b) = mult(a, mult(mult(mult(b, c), a), b))),
% 4.99/5.17 inference(transitivity,[status(thm)],[7065, 6137, 6159])).
% 4.99/5.17 tff(7148,plain,
% 4.99/5.17 (mult(mult(mult(a, c), a), mult(mult(mult(mult(a, b), c), a), b)) = mult(mult(mult(a, c), a), mult(a, mult(mult(mult(b, c), a), b)))),
% 4.99/5.17 inference(monotonicity,[status(thm)],[7147])).
% 4.99/5.17 tff(7149,plain,
% 4.99/5.17 (mult(mult(mult(a, c), a), mult(a, mult(mult(mult(b, c), a), b))) = mult(mult(mult(a, c), a), mult(mult(mult(mult(a, b), c), a), b))),
% 4.99/5.17 inference(symmetry,[status(thm)],[7148])).
% 4.99/5.17 tff(7150,plain,
% 4.99/5.17 (mult(mult(mult(mult(a, c), mult(b, a)), mult(a, c)), mult(b, a)) = mult(mult(mult(mult(mult(a, c), mult(b, a)), mult(a, c)), b), a)),
% 4.99/5.17 inference(symmetry,[status(thm)],[6766])).
% 4.99/5.17 tff(7151,plain,
% 4.99/5.17 (mult(mult(mult(a, c), mult(b, a)), mult(mult(a, c), mult(b, a))) = mult(mult(mult(mult(a, c), mult(b, a)), mult(a, c)), mult(b, a))),
% 4.99/5.17 inference(symmetry,[status(thm)],[7140])).
% 4.99/5.17 tff(7152,plain,
% 4.99/5.17 (mult(mult(mult(a, c), mult(b, a)), mult(mult(a, c), mult(b, a))) = mult(mult(mult(a, c), mult(b, a)), mult(mult(a, mult(c, b)), a))),
% 4.99/5.17 inference(transitivity,[status(thm)],[7151, 7150, 7069, 6761, 7149, 7146, 7056, 7055, 7144, 6760, 6751])).
% 4.99/5.17 tff(7153,plain,
% 4.99/5.17 (ld(mult(mult(a, c), mult(b, a)), mult(mult(mult(a, c), mult(b, a)), mult(mult(a, c), mult(b, a)))) = ld(mult(mult(a, c), mult(b, a)), mult(mult(mult(a, c), mult(b, a)), mult(mult(a, mult(c, b)), a)))),
% 4.99/5.17 inference(monotonicity,[status(thm)],[7152])).
% 4.99/5.17 tff(7154,plain,
% 4.99/5.17 (mult(a, mult(mult(c, a), b)) = mult(mult(a, mult(c, a)), b)),
% 4.99/5.17 inference(symmetry,[status(thm)],[7104])).
% 4.99/5.17 tff(7155,plain,
% 4.99/5.17 (mult(a, mult(mult(c, a), b)) = mult(a, mult(c, mult(a, b)))),
% 4.99/5.17 inference(transitivity,[status(thm)],[7154, 6925, 1526, 6977, 7153, 6748, 707, 5359])).
% 4.99/5.17 tff(7156,plain,
% 4.99/5.17 (ld(a, mult(a, mult(mult(c, a), b))) = ld(a, mult(a, mult(c, mult(a, b))))),
% 4.99/5.17 inference(monotonicity,[status(thm)],[7155])).
% 4.99/5.17 tff(7157,plain,
% 4.99/5.17 (mult(mult(c, a), b) = mult(c, mult(a, b))),
% 4.99/5.17 inference(transitivity,[status(thm)],[210, 7156, 667])).
% 4.99/5.17 tff(7158,plain,
% 4.99/5.17 ($false),
% 4.99/5.17 inference(unit_resolution,[status(thm)],[570, 7157])).
% 4.99/5.17 tff(7159,plain,((~(mult(mult(mult(mult(a, c), a), mult(mult(mult(b, c), a), b)), a) = mult(mult(mult(a, c), a), mult(a, mult(mult(mult(b, c), a), b))))) | (mult(mult(c, a), b) = mult(c, mult(a, b))) | (~(mult(mult(a, mult(c, b)), a) = mult(a, mult(mult(c, b), a)))) | (~(mult(mult(a, mult(b, c)), a) = mult(a, mult(mult(b, c), a)))) | (~(mult(mult(a, c), mult(a, b)) = mult(a, mult(mult(a, b), c)))) | (~(mult(mult(a, c), b) = mult(a, mult(b, c)))) | (~(mult(mult(a, b), c) = mult(a, mult(c, b)))) | (mult(mult(mult(a, c), b), a) = mult(mult(a, c), mult(b, a))) | (~(mult(mult(a, mult(a, c)), b) = mult(a, mult(b, mult(a, c))))) | (~(mult(mult(mult(mult(b, c), a), a), mult(a, b)) = mult(mult(mult(b, c), a), mult(mult(a, b), a)))) | (~(mult(mult(a, mult(a, b)), c) = mult(a, mult(c, mult(a, b)))))), inference(lemma,lemma(discharge,[]))).
% 4.99/5.17 tff(7160,plain,
% 4.99/5.17 (~(mult(mult(mult(mult(a, c), a), mult(mult(mult(b, c), a), b)), a) = mult(mult(mult(a, c), a), mult(a, mult(mult(mult(b, c), a), b))))),
% 4.99/5.17 inference(unit_resolution,[status(thm)],[7159, 6658, 4821, 5309, 4654, 97, 91, 614, 5375, 6746, 4709])).
% 4.99/5.17 tff(7161,plain,
% 4.99/5.17 ((mult(mult(mult(a, c), a), mult(a, mult(mult(mult(b, c), a), b))) = mult(mult(mult(mult(a, c), a), mult(mult(mult(b, c), a), b)), a)) <=> (mult(mult(mult(mult(a, c), a), mult(mult(mult(b, c), a), b)), a) = mult(mult(mult(a, c), a), mult(a, mult(mult(mult(b, c), a), b))))),
% 4.99/5.17 inference(commutativity,[status(thm)],[])).
% 4.99/5.17 tff(7162,plain,
% 4.99/5.17 ((mult(mult(mult(a, c), a), mult(a, mult(mult(mult(b, c), a), b))) = mult(mult(a, c), mult(mult(a, mult(mult(mult(b, c), a), b)), a))) <=> (mult(mult(mult(a, c), a), mult(a, mult(mult(mult(b, c), a), b))) = mult(mult(mult(mult(a, c), a), mult(mult(mult(b, c), a), b)), a))),
% 4.99/5.17 inference(monotonicity,[status(thm)],[6687])).
% 4.99/5.17 tff(7163,plain,
% 4.99/5.17 ((mult(mult(mult(a, c), a), mult(a, mult(mult(mult(b, c), a), b))) = mult(mult(a, c), mult(mult(a, mult(mult(mult(b, c), a), b)), a))) <=> (mult(mult(mult(mult(a, c), a), mult(mult(mult(b, c), a), b)), a) = mult(mult(mult(a, c), a), mult(a, mult(mult(mult(b, c), a), b))))),
% 4.99/5.17 inference(transitivity,[status(thm)],[7162, 7161])).
% 4.99/5.17 tff(7164,plain,
% 4.99/5.17 ((mult(mult(mult(mult(a, c), a), mult(mult(mult(b, c), a), b)), a) = mult(mult(mult(a, c), a), mult(a, mult(mult(mult(b, c), a), b)))) <=> (mult(mult(mult(a, c), a), mult(a, mult(mult(mult(b, c), a), b))) = mult(mult(a, c), mult(mult(a, mult(mult(mult(b, c), a), b)), a)))),
% 4.99/5.17 inference(symmetry,[status(thm)],[7163])).
% 4.99/5.17 tff(7165,plain,
% 4.99/5.17 ((~(mult(mult(mult(mult(a, c), a), mult(mult(mult(b, c), a), b)), a) = mult(mult(mult(a, c), a), mult(a, mult(mult(mult(b, c), a), b))))) <=> (~(mult(mult(mult(a, c), a), mult(a, mult(mult(mult(b, c), a), b))) = mult(mult(a, c), mult(mult(a, mult(mult(mult(b, c), a), b)), a))))),
% 4.99/5.17 inference(monotonicity,[status(thm)],[7164])).
% 4.99/5.17 tff(7166,assumption,(~(mult(mult(mult(mult(a, c), a), mult(mult(mult(b, c), a), b)), a) = mult(mult(mult(a, c), a), mult(a, mult(mult(mult(b, c), a), b))))), introduced(assumption)).
% 4.99/5.17 tff(7167,plain,
% 4.99/5.17 (~(mult(mult(mult(a, c), a), mult(a, mult(mult(mult(b, c), a), b))) = mult(mult(a, c), mult(mult(a, mult(mult(mult(b, c), a), b)), a)))),
% 4.99/5.17 inference(modus_ponens,[status(thm)],[7166, 7165])).
% 4.99/5.17 tff(7168,plain,
% 4.99/5.17 (((~(mult(mult(mult(a, c), mult(a, mult(mult(mult(b, c), a), b))), a) = mult(mult(a, c), mult(a, mult(a, mult(mult(mult(b, c), a), b)))))) | (~(mult(mult(mult(a, c), a), mult(a, mult(mult(mult(b, c), a), b))) = mult(mult(a, c), mult(mult(a, mult(mult(mult(b, c), a), b)), a))))) | (mult(mult(mult(a, c), a), mult(a, mult(mult(mult(b, c), a), b))) = mult(mult(a, c), mult(mult(a, mult(mult(mult(b, c), a), b)), a)))),
% 4.99/5.17 inference(tautology,[status(thm)],[])).
% 4.99/5.17 tff(7169,plain,
% 4.99/5.17 ((~(mult(mult(mult(a, c), mult(a, mult(mult(mult(b, c), a), b))), a) = mult(mult(a, c), mult(a, mult(a, mult(mult(mult(b, c), a), b)))))) | (~(mult(mult(mult(a, c), a), mult(a, mult(mult(mult(b, c), a), b))) = mult(mult(a, c), mult(mult(a, mult(mult(mult(b, c), a), b)), a))))),
% 4.99/5.17 inference(unit_resolution,[status(thm)],[7168, 7167])).
% 4.99/5.17 tff(7170,plain,
% 4.99/5.17 (((~![X0: $i, X1: $i, X2: $i] : ((~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X2, X1)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X1, X2)))))) | (~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X1, X2)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X2, X1)))))))) | ((~((~(mult(mult(mult(a, c), a), mult(a, mult(mult(mult(b, c), a), b))) = mult(mult(a, c), mult(a, mult(a, mult(mult(mult(b, c), a), b)))))) | (~(mult(mult(mult(a, c), mult(a, mult(mult(mult(b, c), a), b))), a) = mult(mult(a, c), mult(mult(a, mult(mult(mult(b, c), a), b)), a)))))) | (~((~(mult(mult(mult(a, c), mult(a, mult(mult(mult(b, c), a), b))), a) = mult(mult(a, c), mult(a, mult(a, mult(mult(mult(b, c), a), b)))))) | (~(mult(mult(mult(a, c), a), mult(a, mult(mult(mult(b, c), a), b))) = mult(mult(a, c), mult(mult(a, mult(mult(mult(b, c), a), b)), a)))))))) <=> ((~![X0: $i, X1: $i, X2: $i] : ((~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X2, X1)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X1, X2)))))) | (~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X1, X2)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X2, X1)))))))) | (~((~(mult(mult(mult(a, c), a), mult(a, mult(mult(mult(b, c), a), b))) = mult(mult(a, c), mult(a, mult(a, mult(mult(mult(b, c), a), b)))))) | (~(mult(mult(mult(a, c), mult(a, mult(mult(mult(b, c), a), b))), a) = mult(mult(a, c), mult(mult(a, mult(mult(mult(b, c), a), b)), a)))))) | (~((~(mult(mult(mult(a, c), mult(a, mult(mult(mult(b, c), a), b))), a) = mult(mult(a, c), mult(a, mult(a, mult(mult(mult(b, c), a), b)))))) | (~(mult(mult(mult(a, c), a), mult(a, mult(mult(mult(b, c), a), b))) = mult(mult(a, c), mult(mult(a, mult(mult(mult(b, c), a), b)), a)))))))),
% 4.99/5.17 inference(rewrite,[status(thm)],[])).
% 4.99/5.17 tff(7171,plain,
% 4.99/5.17 (((~((~(mult(mult(mult(a, c), mult(a, mult(mult(mult(b, c), a), b))), a) = mult(mult(a, c), mult(a, mult(a, mult(mult(mult(b, c), a), b)))))) | (~(mult(mult(mult(a, c), a), mult(a, mult(mult(mult(b, c), a), b))) = mult(mult(a, c), mult(mult(a, mult(mult(mult(b, c), a), b)), a)))))) | (~((~(mult(mult(mult(a, c), a), mult(a, mult(mult(mult(b, c), a), b))) = mult(mult(a, c), mult(a, mult(a, mult(mult(mult(b, c), a), b)))))) | (~(mult(mult(mult(a, c), mult(a, mult(mult(mult(b, c), a), b))), a) = mult(mult(a, c), mult(mult(a, mult(mult(mult(b, c), a), b)), a))))))) <=> ((~((~(mult(mult(mult(a, c), a), mult(a, mult(mult(mult(b, c), a), b))) = mult(mult(a, c), mult(a, mult(a, mult(mult(mult(b, c), a), b)))))) | (~(mult(mult(mult(a, c), mult(a, mult(mult(mult(b, c), a), b))), a) = mult(mult(a, c), mult(mult(a, mult(mult(mult(b, c), a), b)), a)))))) | (~((~(mult(mult(mult(a, c), mult(a, mult(mult(mult(b, c), a), b))), a) = mult(mult(a, c), mult(a, mult(a, mult(mult(mult(b, c), a), b)))))) | (~(mult(mult(mult(a, c), a), mult(a, mult(mult(mult(b, c), a), b))) = mult(mult(a, c), mult(mult(a, mult(mult(mult(b, c), a), b)), a)))))))),
% 4.99/5.17 inference(rewrite,[status(thm)],[])).
% 4.99/5.17 tff(7172,plain,
% 4.99/5.17 ((~((~(mult(mult(mult(a, c), mult(a, mult(mult(mult(b, c), a), b))), a) = mult(mult(a, c), mult(mult(a, mult(mult(mult(b, c), a), b)), a)))) | (~(mult(mult(mult(a, c), a), mult(a, mult(mult(mult(b, c), a), b))) = mult(mult(a, c), mult(a, mult(a, mult(mult(mult(b, c), a), b)))))))) <=> (~((~(mult(mult(mult(a, c), a), mult(a, mult(mult(mult(b, c), a), b))) = mult(mult(a, c), mult(a, mult(a, mult(mult(mult(b, c), a), b)))))) | (~(mult(mult(mult(a, c), mult(a, mult(mult(mult(b, c), a), b))), a) = mult(mult(a, c), mult(mult(a, mult(mult(mult(b, c), a), b)), a))))))),
% 4.99/5.17 inference(rewrite,[status(thm)],[])).
% 4.99/5.17 tff(7173,plain,
% 4.99/5.17 ((~((~(mult(mult(mult(a, c), mult(a, mult(mult(mult(b, c), a), b))), a) = mult(mult(a, c), mult(a, mult(a, mult(mult(mult(b, c), a), b)))))) | (~(mult(mult(mult(a, c), a), mult(a, mult(mult(mult(b, c), a), b))) = mult(mult(a, c), mult(mult(a, mult(mult(mult(b, c), a), b)), a)))))) <=> (~((~(mult(mult(mult(a, c), mult(a, mult(mult(mult(b, c), a), b))), a) = mult(mult(a, c), mult(a, mult(a, mult(mult(mult(b, c), a), b)))))) | (~(mult(mult(mult(a, c), a), mult(a, mult(mult(mult(b, c), a), b))) = mult(mult(a, c), mult(mult(a, mult(mult(mult(b, c), a), b)), a))))))),
% 4.99/5.17 inference(rewrite,[status(thm)],[])).
% 4.99/5.17 tff(7174,plain,
% 4.99/5.17 (((~((~(mult(mult(mult(a, c), mult(a, mult(mult(mult(b, c), a), b))), a) = mult(mult(a, c), mult(a, mult(a, mult(mult(mult(b, c), a), b)))))) | (~(mult(mult(mult(a, c), a), mult(a, mult(mult(mult(b, c), a), b))) = mult(mult(a, c), mult(mult(a, mult(mult(mult(b, c), a), b)), a)))))) | (~((~(mult(mult(mult(a, c), mult(a, mult(mult(mult(b, c), a), b))), a) = mult(mult(a, c), mult(mult(a, mult(mult(mult(b, c), a), b)), a)))) | (~(mult(mult(mult(a, c), a), mult(a, mult(mult(mult(b, c), a), b))) = mult(mult(a, c), mult(a, mult(a, mult(mult(mult(b, c), a), b))))))))) <=> ((~((~(mult(mult(mult(a, c), mult(a, mult(mult(mult(b, c), a), b))), a) = mult(mult(a, c), mult(a, mult(a, mult(mult(mult(b, c), a), b)))))) | (~(mult(mult(mult(a, c), a), mult(a, mult(mult(mult(b, c), a), b))) = mult(mult(a, c), mult(mult(a, mult(mult(mult(b, c), a), b)), a)))))) | (~((~(mult(mult(mult(a, c), a), mult(a, mult(mult(mult(b, c), a), b))) = mult(mult(a, c), mult(a, mult(a, mult(mult(mult(b, c), a), b)))))) | (~(mult(mult(mult(a, c), mult(a, mult(mult(mult(b, c), a), b))), a) = mult(mult(a, c), mult(mult(a, mult(mult(mult(b, c), a), b)), a)))))))),
% 4.99/5.17 inference(monotonicity,[status(thm)],[7173, 7172])).
% 4.99/5.17 tff(7175,plain,
% 4.99/5.17 (((~((~(mult(mult(mult(a, c), mult(a, mult(mult(mult(b, c), a), b))), a) = mult(mult(a, c), mult(a, mult(a, mult(mult(mult(b, c), a), b)))))) | (~(mult(mult(mult(a, c), a), mult(a, mult(mult(mult(b, c), a), b))) = mult(mult(a, c), mult(mult(a, mult(mult(mult(b, c), a), b)), a)))))) | (~((~(mult(mult(mult(a, c), mult(a, mult(mult(mult(b, c), a), b))), a) = mult(mult(a, c), mult(mult(a, mult(mult(mult(b, c), a), b)), a)))) | (~(mult(mult(mult(a, c), a), mult(a, mult(mult(mult(b, c), a), b))) = mult(mult(a, c), mult(a, mult(a, mult(mult(mult(b, c), a), b))))))))) <=> ((~((~(mult(mult(mult(a, c), a), mult(a, mult(mult(mult(b, c), a), b))) = mult(mult(a, c), mult(a, mult(a, mult(mult(mult(b, c), a), b)))))) | (~(mult(mult(mult(a, c), mult(a, mult(mult(mult(b, c), a), b))), a) = mult(mult(a, c), mult(mult(a, mult(mult(mult(b, c), a), b)), a)))))) | (~((~(mult(mult(mult(a, c), mult(a, mult(mult(mult(b, c), a), b))), a) = mult(mult(a, c), mult(a, mult(a, mult(mult(mult(b, c), a), b)))))) | (~(mult(mult(mult(a, c), a), mult(a, mult(mult(mult(b, c), a), b))) = mult(mult(a, c), mult(mult(a, mult(mult(mult(b, c), a), b)), a)))))))),
% 4.99/5.18 inference(transitivity,[status(thm)],[7174, 7171])).
% 4.99/5.18 tff(7176,plain,
% 4.99/5.18 (((~![X0: $i, X1: $i, X2: $i] : ((~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X2, X1)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X1, X2)))))) | (~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X1, X2)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X2, X1)))))))) | ((~((~(mult(mult(mult(a, c), mult(a, mult(mult(mult(b, c), a), b))), a) = mult(mult(a, c), mult(a, mult(a, mult(mult(mult(b, c), a), b)))))) | (~(mult(mult(mult(a, c), a), mult(a, mult(mult(mult(b, c), a), b))) = mult(mult(a, c), mult(mult(a, mult(mult(mult(b, c), a), b)), a)))))) | (~((~(mult(mult(mult(a, c), mult(a, mult(mult(mult(b, c), a), b))), a) = mult(mult(a, c), mult(mult(a, mult(mult(mult(b, c), a), b)), a)))) | (~(mult(mult(mult(a, c), a), mult(a, mult(mult(mult(b, c), a), b))) = mult(mult(a, c), mult(a, mult(a, mult(mult(mult(b, c), a), b)))))))))) <=> ((~![X0: $i, X1: $i, X2: $i] : ((~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X2, X1)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X1, X2)))))) | (~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X1, X2)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X2, X1)))))))) | ((~((~(mult(mult(mult(a, c), a), mult(a, mult(mult(mult(b, c), a), b))) = mult(mult(a, c), mult(a, mult(a, mult(mult(mult(b, c), a), b)))))) | (~(mult(mult(mult(a, c), mult(a, mult(mult(mult(b, c), a), b))), a) = mult(mult(a, c), mult(mult(a, mult(mult(mult(b, c), a), b)), a)))))) | (~((~(mult(mult(mult(a, c), mult(a, mult(mult(mult(b, c), a), b))), a) = mult(mult(a, c), mult(a, mult(a, mult(mult(mult(b, c), a), b)))))) | (~(mult(mult(mult(a, c), a), mult(a, mult(mult(mult(b, c), a), b))) = mult(mult(a, c), mult(mult(a, mult(mult(mult(b, c), a), b)), a))))))))),
% 4.99/5.18 inference(monotonicity,[status(thm)],[7175])).
% 4.99/5.18 tff(7177,plain,
% 4.99/5.18 (((~![X0: $i, X1: $i, X2: $i] : ((~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X2, X1)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X1, X2)))))) | (~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X1, X2)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X2, X1)))))))) | ((~((~(mult(mult(mult(a, c), mult(a, mult(mult(mult(b, c), a), b))), a) = mult(mult(a, c), mult(a, mult(a, mult(mult(mult(b, c), a), b)))))) | (~(mult(mult(mult(a, c), a), mult(a, mult(mult(mult(b, c), a), b))) = mult(mult(a, c), mult(mult(a, mult(mult(mult(b, c), a), b)), a)))))) | (~((~(mult(mult(mult(a, c), mult(a, mult(mult(mult(b, c), a), b))), a) = mult(mult(a, c), mult(mult(a, mult(mult(mult(b, c), a), b)), a)))) | (~(mult(mult(mult(a, c), a), mult(a, mult(mult(mult(b, c), a), b))) = mult(mult(a, c), mult(a, mult(a, mult(mult(mult(b, c), a), b)))))))))) <=> ((~![X0: $i, X1: $i, X2: $i] : ((~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X2, X1)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X1, X2)))))) | (~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X1, X2)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X2, X1)))))))) | (~((~(mult(mult(mult(a, c), a), mult(a, mult(mult(mult(b, c), a), b))) = mult(mult(a, c), mult(a, mult(a, mult(mult(mult(b, c), a), b)))))) | (~(mult(mult(mult(a, c), mult(a, mult(mult(mult(b, c), a), b))), a) = mult(mult(a, c), mult(mult(a, mult(mult(mult(b, c), a), b)), a)))))) | (~((~(mult(mult(mult(a, c), mult(a, mult(mult(mult(b, c), a), b))), a) = mult(mult(a, c), mult(a, mult(a, mult(mult(mult(b, c), a), b)))))) | (~(mult(mult(mult(a, c), a), mult(a, mult(mult(mult(b, c), a), b))) = mult(mult(a, c), mult(mult(a, mult(mult(mult(b, c), a), b)), a)))))))),
% 4.99/5.18 inference(transitivity,[status(thm)],[7176, 7170])).
% 4.99/5.18 tff(7178,plain,
% 4.99/5.18 ((~![X0: $i, X1: $i, X2: $i] : ((~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X2, X1)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X1, X2)))))) | (~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X1, X2)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X2, X1)))))))) | ((~((~(mult(mult(mult(a, c), mult(a, mult(mult(mult(b, c), a), b))), a) = mult(mult(a, c), mult(a, mult(a, mult(mult(mult(b, c), a), b)))))) | (~(mult(mult(mult(a, c), a), mult(a, mult(mult(mult(b, c), a), b))) = mult(mult(a, c), mult(mult(a, mult(mult(mult(b, c), a), b)), a)))))) | (~((~(mult(mult(mult(a, c), mult(a, mult(mult(mult(b, c), a), b))), a) = mult(mult(a, c), mult(mult(a, mult(mult(mult(b, c), a), b)), a)))) | (~(mult(mult(mult(a, c), a), mult(a, mult(mult(mult(b, c), a), b))) = mult(mult(a, c), mult(a, mult(a, mult(mult(mult(b, c), a), b)))))))))),
% 4.99/5.18 inference(quant_inst,[status(thm)],[])).
% 4.99/5.18 tff(7179,plain,
% 4.99/5.18 ((~![X0: $i, X1: $i, X2: $i] : ((~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X2, X1)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X1, X2)))))) | (~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X1, X2)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X2, X1)))))))) | (~((~(mult(mult(mult(a, c), a), mult(a, mult(mult(mult(b, c), a), b))) = mult(mult(a, c), mult(a, mult(a, mult(mult(mult(b, c), a), b)))))) | (~(mult(mult(mult(a, c), mult(a, mult(mult(mult(b, c), a), b))), a) = mult(mult(a, c), mult(mult(a, mult(mult(mult(b, c), a), b)), a)))))) | (~((~(mult(mult(mult(a, c), mult(a, mult(mult(mult(b, c), a), b))), a) = mult(mult(a, c), mult(a, mult(a, mult(mult(mult(b, c), a), b)))))) | (~(mult(mult(mult(a, c), a), mult(a, mult(mult(mult(b, c), a), b))) = mult(mult(a, c), mult(mult(a, mult(mult(mult(b, c), a), b)), a))))))),
% 4.99/5.18 inference(modus_ponens,[status(thm)],[7178, 7177])).
% 4.99/5.18 tff(7180,plain,
% 4.99/5.18 ((~((~(mult(mult(mult(a, c), a), mult(a, mult(mult(mult(b, c), a), b))) = mult(mult(a, c), mult(a, mult(a, mult(mult(mult(b, c), a), b)))))) | (~(mult(mult(mult(a, c), mult(a, mult(mult(mult(b, c), a), b))), a) = mult(mult(a, c), mult(mult(a, mult(mult(mult(b, c), a), b)), a)))))) | (~((~(mult(mult(mult(a, c), mult(a, mult(mult(mult(b, c), a), b))), a) = mult(mult(a, c), mult(a, mult(a, mult(mult(mult(b, c), a), b)))))) | (~(mult(mult(mult(a, c), a), mult(a, mult(mult(mult(b, c), a), b))) = mult(mult(a, c), mult(mult(a, mult(mult(mult(b, c), a), b)), a))))))),
% 4.99/5.18 inference(unit_resolution,[status(thm)],[7179, 30])).
% 4.99/5.18 tff(7181,plain,
% 4.99/5.18 (~((~(mult(mult(mult(a, c), a), mult(a, mult(mult(mult(b, c), a), b))) = mult(mult(a, c), mult(a, mult(a, mult(mult(mult(b, c), a), b)))))) | (~(mult(mult(mult(a, c), mult(a, mult(mult(mult(b, c), a), b))), a) = mult(mult(a, c), mult(mult(a, mult(mult(mult(b, c), a), b)), a)))))),
% 4.99/5.18 inference(unit_resolution,[status(thm)],[7180, 7169])).
% 4.99/5.18 tff(7182,plain,
% 4.99/5.18 (((~(mult(mult(mult(a, c), a), mult(a, mult(mult(mult(b, c), a), b))) = mult(mult(a, c), mult(a, mult(a, mult(mult(mult(b, c), a), b)))))) | (~(mult(mult(mult(a, c), mult(a, mult(mult(mult(b, c), a), b))), a) = mult(mult(a, c), mult(mult(a, mult(mult(mult(b, c), a), b)), a))))) | (mult(mult(mult(a, c), a), mult(a, mult(mult(mult(b, c), a), b))) = mult(mult(a, c), mult(a, mult(a, mult(mult(mult(b, c), a), b)))))),
% 4.99/5.18 inference(tautology,[status(thm)],[])).
% 4.99/5.18 tff(7183,plain,
% 4.99/5.18 (mult(mult(mult(a, c), a), mult(a, mult(mult(mult(b, c), a), b))) = mult(mult(a, c), mult(a, mult(a, mult(mult(mult(b, c), a), b))))),
% 4.99/5.18 inference(unit_resolution,[status(thm)],[7182, 7181])).
% 4.99/5.18 tff(7184,plain,
% 4.99/5.18 (mult(mult(a, c), mult(a, mult(a, mult(mult(mult(b, c), a), b)))) = mult(mult(mult(a, c), a), mult(a, mult(mult(mult(b, c), a), b)))),
% 5.02/5.18 inference(symmetry,[status(thm)],[7183])).
% 5.02/5.18 tff(7185,plain,
% 5.02/5.18 (mult(a, mult(c, mult(a, b))) = mult(mult(mult(a, b), c), a)),
% 5.02/5.18 inference(transitivity,[status(thm)],[1414, 708, 108])).
% 5.02/5.18 tff(7186,plain,
% 5.02/5.18 (mult(mult(a, mult(c, mult(a, b))), b) = mult(mult(mult(mult(a, b), c), a), b)),
% 5.02/5.18 inference(monotonicity,[status(thm)],[7185])).
% 5.02/5.18 tff(7187,plain,
% 5.02/5.18 (mult(mult(mult(mult(a, b), c), a), b) = mult(mult(a, mult(c, mult(a, b))), b)),
% 5.02/5.18 inference(symmetry,[status(thm)],[7186])).
% 5.02/5.18 tff(7188,plain,
% 5.02/5.18 (mult(a, mult(mult(mult(mult(a, b), c), a), b)) = mult(a, mult(mult(a, mult(c, mult(a, b))), b))),
% 5.02/5.18 inference(monotonicity,[status(thm)],[7187])).
% 5.02/5.18 tff(7189,plain,
% 5.02/5.18 (mult(a, mult(mult(a, mult(c, mult(a, b))), b)) = mult(a, mult(mult(mult(mult(a, b), c), a), b))),
% 5.02/5.18 inference(symmetry,[status(thm)],[7188])).
% 5.02/5.18 tff(7190,plain,
% 5.02/5.18 (mult(a, mult(mult(mult(b, c), a), b)) = mult(mult(a, mult(c, mult(a, b))), b)),
% 5.02/5.18 inference(transitivity,[status(thm)],[6141, 6138, 6135, 7187])).
% 5.02/5.18 tff(7191,plain,
% 5.02/5.18 (mult(a, mult(a, mult(mult(mult(b, c), a), b))) = mult(a, mult(mult(a, mult(c, mult(a, b))), b))),
% 5.02/5.18 inference(monotonicity,[status(thm)],[7190])).
% 5.02/5.18 tff(7192,plain,
% 5.02/5.18 (mult(a, mult(a, mult(mult(mult(b, c), a), b))) = mult(a, mult(mult(mult(mult(a, b), c), a), b))),
% 5.02/5.18 inference(transitivity,[status(thm)],[7191, 7189])).
% 5.02/5.18 tff(7193,plain,
% 5.02/5.18 (mult(mult(a, c), mult(a, mult(a, mult(mult(mult(b, c), a), b)))) = mult(mult(a, c), mult(a, mult(mult(mult(mult(a, b), c), a), b)))),
% 5.02/5.18 inference(monotonicity,[status(thm)],[7192])).
% 5.02/5.18 tff(7194,plain,
% 5.02/5.18 (mult(mult(a, c), mult(a, mult(mult(mult(mult(a, b), c), a), b))) = mult(mult(a, c), mult(a, mult(a, mult(mult(mult(b, c), a), b))))),
% 5.02/5.18 inference(symmetry,[status(thm)],[7193])).
% 5.02/5.18 tff(7195,plain,
% 5.02/5.18 ((~![B: $i, A: $i] : (ld(A, mult(A, B)) = B)) | (ld(mult(a, c), mult(mult(a, c), mult(mult(mult(b, a), mult(a, c)), mult(b, a)))) = mult(mult(mult(b, a), mult(a, c)), mult(b, a)))),
% 5.02/5.18 inference(quant_inst,[status(thm)],[])).
% 5.02/5.18 tff(7196,plain,
% 5.02/5.18 (ld(mult(a, c), mult(mult(a, c), mult(mult(mult(b, a), mult(a, c)), mult(b, a)))) = mult(mult(mult(b, a), mult(a, c)), mult(b, a))),
% 5.02/5.18 inference(unit_resolution,[status(thm)],[7195, 9])).
% 5.02/5.18 tff(7197,plain,
% 5.02/5.18 ((~![C: $i, B: $i, A: $i] : (mult(mult(mult(A, B), C), B) = mult(A, mult(mult(B, C), B)))) | (mult(mult(mult(mult(a, c), mult(b, a)), mult(a, c)), mult(b, a)) = mult(mult(a, c), mult(mult(mult(b, a), mult(a, c)), mult(b, a))))),
% 5.02/5.18 inference(quant_inst,[status(thm)],[])).
% 5.02/5.18 tff(7198,plain,
% 5.02/5.18 (mult(mult(mult(mult(a, c), mult(b, a)), mult(a, c)), mult(b, a)) = mult(mult(a, c), mult(mult(mult(b, a), mult(a, c)), mult(b, a)))),
% 5.02/5.18 inference(unit_resolution,[status(thm)],[7197, 860])).
% 5.02/5.18 tff(7199,plain,
% 5.02/5.18 (mult(mult(a, c), mult(mult(a, mult(mult(mult(b, c), a), b)), a)) = mult(mult(a, c), mult(mult(mult(b, a), mult(a, c)), mult(b, a)))),
% 5.02/5.18 inference(transitivity,[status(thm)],[6687, 6793, 6785, 7198])).
% 5.02/5.18 tff(7200,plain,
% 5.02/5.18 (ld(mult(a, c), mult(mult(a, c), mult(mult(a, mult(mult(mult(b, c), a), b)), a))) = ld(mult(a, c), mult(mult(a, c), mult(mult(mult(b, a), mult(a, c)), mult(b, a))))),
% 5.02/5.18 inference(monotonicity,[status(thm)],[7199])).
% 5.02/5.18 tff(7201,plain,
% 5.02/5.18 ((~![B: $i, A: $i] : (ld(A, mult(A, B)) = B)) | (ld(mult(a, c), mult(mult(a, c), mult(mult(a, mult(mult(mult(b, c), a), b)), a))) = mult(mult(a, mult(mult(mult(b, c), a), b)), a))),
% 5.02/5.18 inference(quant_inst,[status(thm)],[])).
% 5.02/5.18 tff(7202,plain,
% 5.02/5.18 (ld(mult(a, c), mult(mult(a, c), mult(mult(a, mult(mult(mult(b, c), a), b)), a))) = mult(mult(a, mult(mult(mult(b, c), a), b)), a)),
% 5.02/5.18 inference(unit_resolution,[status(thm)],[7201, 9])).
% 5.02/5.18 tff(7203,plain,
% 5.02/5.18 (mult(mult(a, mult(mult(mult(b, c), a), b)), a) = ld(mult(a, c), mult(mult(a, c), mult(mult(a, mult(mult(mult(b, c), a), b)), a)))),
% 5.02/5.18 inference(symmetry,[status(thm)],[7202])).
% 5.02/5.18 tff(7204,plain,
% 5.02/5.18 (mult(mult(mult(mult(mult(a, b), c), a), b), a) = mult(mult(a, mult(mult(mult(b, c), a), b)), a)),
% 5.02/5.18 inference(monotonicity,[status(thm)],[6795])).
% 5.02/5.18 tff(7205,plain,
% 5.02/5.18 (mult(mult(mult(a, b), c), a) = mult(mult(mult(b, c), a), a)),
% 5.02/5.18 inference(transitivity,[status(thm)],[107, 5785])).
% 5.02/5.18 tff(7206,plain,
% 5.02/5.18 (mult(mult(mult(mult(a, b), c), a), mult(a, b)) = mult(mult(mult(mult(b, c), a), a), mult(a, b))),
% 5.02/5.18 inference(monotonicity,[status(thm)],[7205])).
% 5.02/5.18 tff(7207,assumption,(mult(mult(mult(a, b), mult(a, c)), mult(a, b)) = mult(mult(a, b), mult(mult(a, b), mult(a, c)))), introduced(assumption)).
% 5.02/5.18 tff(7208,plain,
% 5.02/5.18 (mult(mult(a, b), mult(mult(a, b), mult(a, c))) = mult(mult(mult(a, b), mult(a, c)), mult(a, b))),
% 5.02/5.18 inference(symmetry,[status(thm)],[7207])).
% 5.02/5.18 tff(7209,plain,
% 5.02/5.18 (mult(a, mult(c, mult(a, b))) = mult(mult(a, b), mult(a, c))),
% 5.02/5.18 inference(transitivity,[status(thm)],[1414, 708, 108, 168])).
% 5.02/5.18 tff(7210,plain,
% 5.02/5.18 (mult(mult(a, b), mult(a, mult(c, mult(a, b)))) = mult(mult(a, b), mult(mult(a, b), mult(a, c)))),
% 5.02/5.18 inference(monotonicity,[status(thm)],[7209])).
% 5.02/5.18 tff(7211,plain,
% 5.02/5.18 (mult(mult(a, b), mult(mult(a, mult(c, b)), a)) = mult(mult(a, b), mult(a, mult(c, mult(a, b))))),
% 5.02/5.18 inference(monotonicity,[status(thm)],[6075])).
% 5.02/5.18 tff(7212,assumption,(mult(mult(a, b), mult(mult(a, mult(c, b)), a)) = mult(a, mult(mult(mult(a, mult(c, b)), a), b))), introduced(assumption)).
% 5.02/5.18 tff(7213,plain,
% 5.02/5.18 (mult(a, mult(mult(mult(a, mult(c, b)), a), b)) = mult(mult(a, b), mult(mult(a, mult(c, b)), a))),
% 5.02/5.18 inference(symmetry,[status(thm)],[7212])).
% 5.02/5.18 tff(7214,plain,
% 5.02/5.18 (mult(mult(a, mult(c, mult(a, b))), b) = mult(mult(mult(a, mult(c, b)), a), b)),
% 5.02/5.18 inference(transitivity,[status(thm)],[7186, 7058])).
% 5.02/5.18 tff(7215,plain,
% 5.02/5.18 (mult(a, mult(mult(a, mult(c, mult(a, b))), b)) = mult(a, mult(mult(mult(a, mult(c, b)), a), b))),
% 5.02/5.18 inference(monotonicity,[status(thm)],[7214])).
% 5.02/5.18 tff(7216,plain,
% 5.02/5.18 (mult(a, mult(mult(mult(mult(a, b), c), a), b)) = mult(mult(mult(b, a), mult(a, c)), mult(b, a))),
% 5.02/5.18 inference(transitivity,[status(thm)],[7188, 7215, 7213, 7211, 7210, 7208, 6693, 7206, 6666, 6049, 6453, 7204, 7203, 7200, 7196])).
% 5.02/5.18 tff(7217,plain,
% 5.02/5.18 (mult(mult(a, c), mult(a, mult(mult(mult(mult(a, b), c), a), b))) = mult(mult(a, c), mult(mult(mult(b, a), mult(a, c)), mult(b, a)))),
% 5.02/5.18 inference(monotonicity,[status(thm)],[7216])).
% 5.02/5.18 tff(7218,plain,
% 5.02/5.18 (mult(mult(a, c), mult(mult(mult(b, a), mult(a, c)), mult(b, a))) = mult(mult(a, c), mult(a, mult(mult(mult(mult(a, b), c), a), b)))),
% 5.02/5.18 inference(symmetry,[status(thm)],[7217])).
% 5.02/5.18 tff(7219,plain,
% 5.02/5.18 (mult(mult(mult(mult(a, c), a), mult(mult(mult(b, c), a), b)), a) = mult(mult(mult(a, c), a), mult(a, mult(mult(mult(b, c), a), b)))),
% 5.02/5.18 inference(transitivity,[status(thm)],[6793, 6785, 7198, 7218, 7194, 7184])).
% 5.02/5.18 tff(7220,plain,
% 5.02/5.18 ($false),
% 5.02/5.18 inference(unit_resolution,[status(thm)],[7166, 7219])).
% 5.02/5.18 tff(7221,plain,((~(mult(mult(mult(a, b), mult(a, c)), mult(a, b)) = mult(mult(a, b), mult(mult(a, b), mult(a, c))))) | (mult(mult(mult(mult(a, c), a), mult(mult(mult(b, c), a), b)), a) = mult(mult(mult(a, c), a), mult(a, mult(mult(mult(b, c), a), b)))) | (~(mult(mult(mult(mult(mult(a, c), mult(b, a)), mult(a, c)), b), a) = mult(mult(mult(mult(a, c), mult(b, a)), mult(a, c)), mult(b, a)))) | (~(mult(mult(a, b), mult(mult(a, mult(c, b)), a)) = mult(a, mult(mult(mult(a, mult(c, b)), a), b)))) | (~(mult(mult(mult(mult(b, c), a), a), mult(a, b)) = mult(mult(mult(b, c), a), mult(mult(a, b), a)))) | (~(mult(mult(a, mult(b, c)), a) = mult(a, mult(mult(b, c), a)))) | (~(mult(mult(a, c), mult(a, b)) = mult(a, mult(mult(a, b), c)))) | (~(mult(mult(mult(a, c), b), a) = mult(mult(a, c), mult(a, b)))) | (~(mult(mult(a, c), b) = mult(a, mult(b, c)))) | (~(mult(mult(a, b), c) = mult(a, mult(c, b)))) | (~(mult(mult(mult(a, b), c), a) = mult(mult(a, b), mult(a, c)))) | (~(mult(mult(a, mult(c, b)), a) = mult(a, mult(mult(c, b), a)))) | (~(mult(mult(c, b), a) = mult(c, mult(a, b)))) | (~(mult(mult(mult(a, c), a), b) = mult(mult(a, c), mult(b, a))))), inference(lemma,lemma(discharge,[]))).
% 5.02/5.18 tff(7222,plain,
% 5.02/5.18 (~(mult(mult(mult(a, b), mult(a, c)), mult(a, b)) = mult(mult(a, b), mult(mult(a, b), mult(a, c))))),
% 5.02/5.18 inference(unit_resolution,[status(thm)],[7221, 7160, 6725, 5966, 6658, 5309, 4654, 971, 97, 91, 5305, 4821, 5290, 1526])).
% 5.02/5.19 tff(7223,plain,
% 5.02/5.19 (~(mult(mult(mult(mult(a, mult(c, b)), a), a), b) = mult(mult(mult(a, mult(c, b)), a), mult(a, b)))),
% 5.02/5.19 inference(modus_ponens,[status(thm)],[7222, 5983])).
% 5.02/5.19 tff(7224,plain,
% 5.02/5.19 ((~(mult(mult(mult(mult(a, mult(c, b)), a), a), b) = mult(mult(mult(a, mult(c, b)), a), mult(a, b)))) | (~(mult(mult(mult(mult(a, mult(c, b)), a), b), a) = mult(mult(mult(a, mult(c, b)), a), mult(b, a))))),
% 5.02/5.19 inference(unit_resolution,[status(thm)],[6121, 7223])).
% 5.02/5.19 tff(7225,plain,
% 5.02/5.19 (~((~(mult(mult(mult(mult(a, mult(c, b)), a), a), b) = mult(mult(mult(a, mult(c, b)), a), mult(b, a)))) | (~(mult(mult(mult(mult(a, mult(c, b)), a), b), a) = mult(mult(mult(a, mult(c, b)), a), mult(a, b)))))),
% 5.02/5.19 inference(unit_resolution,[status(thm)],[6119, 7224])).
% 5.02/5.19 tff(7226,plain,
% 5.02/5.19 (((~(mult(mult(mult(mult(a, mult(c, b)), a), a), b) = mult(mult(mult(a, mult(c, b)), a), mult(b, a)))) | (~(mult(mult(mult(mult(a, mult(c, b)), a), b), a) = mult(mult(mult(a, mult(c, b)), a), mult(a, b))))) | (mult(mult(mult(mult(a, mult(c, b)), a), a), b) = mult(mult(mult(a, mult(c, b)), a), mult(b, a)))),
% 5.02/5.19 inference(tautology,[status(thm)],[])).
% 5.02/5.19 tff(7227,plain,
% 5.02/5.19 (mult(mult(mult(mult(a, mult(c, b)), a), a), b) = mult(mult(mult(a, mult(c, b)), a), mult(b, a))),
% 5.02/5.19 inference(unit_resolution,[status(thm)],[7226, 7225])).
% 5.02/5.19 tff(7228,plain,
% 5.02/5.19 (mult(mult(mult(a, mult(c, b)), a), mult(b, a)) = mult(mult(mult(mult(a, mult(c, b)), a), a), b)),
% 5.02/5.19 inference(symmetry,[status(thm)],[7227])).
% 5.02/5.19 tff(7229,plain,
% 5.02/5.19 (mult(mult(mult(mult(a, b), c), a), mult(b, a)) = mult(mult(mult(a, mult(c, b)), a), mult(b, a))),
% 5.02/5.19 inference(monotonicity,[status(thm)],[608])).
% 5.02/5.19 tff(7230,plain,
% 5.02/5.19 ((~![B: $i, A: $i] : (ld(A, mult(A, B)) = B)) | (ld(mult(mult(b, c), a), mult(mult(mult(b, c), a), mult(mult(a, a), b))) = mult(mult(a, a), b))),
% 5.02/5.19 inference(quant_inst,[status(thm)],[])).
% 5.02/5.19 tff(7231,plain,
% 5.02/5.19 (ld(mult(mult(b, c), a), mult(mult(mult(b, c), a), mult(mult(a, a), b))) = mult(mult(a, a), b)),
% 5.02/5.19 inference(unit_resolution,[status(thm)],[7230, 9])).
% 5.02/5.19 tff(7232,plain,
% 5.02/5.19 (mult(mult(mult(b, c), a), mult(mult(a, a), b)) = mult(mult(mult(b, c), a), mult(a, mult(a, b)))),
% 5.02/5.19 inference(monotonicity,[status(thm)],[4190])).
% 5.02/5.19 tff(7233,plain,
% 5.02/5.19 (mult(mult(mult(b, c), a), mult(a, mult(a, b))) = mult(mult(mult(b, c), a), mult(mult(a, a), b))),
% 5.02/5.19 inference(symmetry,[status(thm)],[7232])).
% 5.02/5.19 tff(7234,plain,
% 5.02/5.19 (mult(mult(b, c), a) = mult(mult(a, b), c)),
% 5.02/5.19 inference(transitivity,[status(thm)],[5314, 5313, 802, 610])).
% 5.02/5.19 tff(7235,plain,
% 5.02/5.19 (mult(mult(mult(b, c), a), mult(a, mult(a, b))) = mult(mult(mult(a, b), c), mult(mult(a, a), b))),
% 5.02/5.19 inference(monotonicity,[status(thm)],[7234, 6193])).
% 5.02/5.19 tff(7236,plain,
% 5.02/5.19 (mult(mult(mult(a, b), c), mult(mult(a, a), b)) = mult(mult(mult(b, c), a), mult(a, mult(a, b)))),
% 5.02/5.19 inference(symmetry,[status(thm)],[7235])).
% 5.02/5.19 tff(7237,plain,
% 5.02/5.19 ((mult(mult(mult(b, c), a), mult(a, mult(a, b))) = mult(mult(mult(mult(b, c), a), a), mult(a, b))) <=> (mult(mult(mult(mult(b, c), a), a), mult(a, b)) = mult(mult(mult(b, c), a), mult(a, mult(a, b))))),
% 5.02/5.19 inference(commutativity,[status(thm)],[])).
% 5.02/5.19 tff(7238,plain,
% 5.02/5.19 (mult(mult(a, mult(c, b)), a) = mult(mult(mult(b, c), a), a)),
% 5.02/5.19 inference(symmetry,[status(thm)],[5316])).
% 5.02/5.19 tff(7239,plain,
% 5.02/5.19 (mult(mult(mult(a, b), c), a) = mult(mult(mult(b, c), a), a)),
% 5.02/5.19 inference(transitivity,[status(thm)],[608, 7238])).
% 5.02/5.19 tff(7240,plain,
% 5.02/5.19 (mult(mult(mult(mult(a, b), c), a), mult(a, b)) = mult(mult(mult(mult(b, c), a), a), mult(a, b))),
% 5.02/5.19 inference(monotonicity,[status(thm)],[7239])).
% 5.02/5.19 tff(7241,plain,
% 5.02/5.19 (((~(mult(mult(mult(a, b), mult(a, b)), mult(a, c)) = mult(mult(a, b), mult(mult(a, c), mult(a, b))))) | (~(mult(mult(mult(a, b), mult(a, c)), mult(a, b)) = mult(mult(a, b), mult(mult(a, b), mult(a, c)))))) | (mult(mult(mult(a, b), mult(a, c)), mult(a, b)) = mult(mult(a, b), mult(mult(a, b), mult(a, c))))),
% 5.02/5.19 inference(tautology,[status(thm)],[])).
% 5.02/5.19 tff(7242,plain,
% 5.02/5.19 ((~(mult(mult(mult(a, b), mult(a, b)), mult(a, c)) = mult(mult(a, b), mult(mult(a, c), mult(a, b))))) | (~(mult(mult(mult(a, b), mult(a, c)), mult(a, b)) = mult(mult(a, b), mult(mult(a, b), mult(a, c)))))),
% 5.02/5.19 inference(unit_resolution,[status(thm)],[7241, 7222])).
% 5.02/5.19 tff(7243,plain,
% 5.02/5.19 (((~![X0: $i, X1: $i, X2: $i] : ((~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X2, X1)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X1, X2)))))) | (~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X1, X2)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X2, X1)))))))) | ((~((~(mult(mult(mult(a, b), mult(a, b)), mult(a, c)) = mult(mult(a, b), mult(mult(a, c), mult(a, b))))) | (~(mult(mult(mult(a, b), mult(a, c)), mult(a, b)) = mult(mult(a, b), mult(mult(a, b), mult(a, c))))))) | (~((~(mult(mult(mult(a, b), mult(a, b)), mult(a, c)) = mult(mult(a, b), mult(mult(a, b), mult(a, c))))) | (~(mult(mult(mult(a, b), mult(a, c)), mult(a, b)) = mult(mult(a, b), mult(mult(a, c), mult(a, b))))))))) <=> ((~![X0: $i, X1: $i, X2: $i] : ((~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X2, X1)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X1, X2)))))) | (~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X1, X2)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X2, X1)))))))) | (~((~(mult(mult(mult(a, b), mult(a, b)), mult(a, c)) = mult(mult(a, b), mult(mult(a, c), mult(a, b))))) | (~(mult(mult(mult(a, b), mult(a, c)), mult(a, b)) = mult(mult(a, b), mult(mult(a, b), mult(a, c))))))) | (~((~(mult(mult(mult(a, b), mult(a, b)), mult(a, c)) = mult(mult(a, b), mult(mult(a, b), mult(a, c))))) | (~(mult(mult(mult(a, b), mult(a, c)), mult(a, b)) = mult(mult(a, b), mult(mult(a, c), mult(a, b))))))))),
% 5.02/5.19 inference(rewrite,[status(thm)],[])).
% 5.02/5.19 tff(7244,plain,
% 5.02/5.19 ((~![X0: $i, X1: $i, X2: $i] : ((~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X2, X1)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X1, X2)))))) | (~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X1, X2)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X2, X1)))))))) | ((~((~(mult(mult(mult(a, b), mult(a, b)), mult(a, c)) = mult(mult(a, b), mult(mult(a, c), mult(a, b))))) | (~(mult(mult(mult(a, b), mult(a, c)), mult(a, b)) = mult(mult(a, b), mult(mult(a, b), mult(a, c))))))) | (~((~(mult(mult(mult(a, b), mult(a, b)), mult(a, c)) = mult(mult(a, b), mult(mult(a, b), mult(a, c))))) | (~(mult(mult(mult(a, b), mult(a, c)), mult(a, b)) = mult(mult(a, b), mult(mult(a, c), mult(a, b))))))))),
% 5.02/5.19 inference(quant_inst,[status(thm)],[])).
% 5.02/5.19 tff(7245,plain,
% 5.02/5.19 ((~![X0: $i, X1: $i, X2: $i] : ((~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X2, X1)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X1, X2)))))) | (~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X1, X2)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X2, X1)))))))) | (~((~(mult(mult(mult(a, b), mult(a, b)), mult(a, c)) = mult(mult(a, b), mult(mult(a, c), mult(a, b))))) | (~(mult(mult(mult(a, b), mult(a, c)), mult(a, b)) = mult(mult(a, b), mult(mult(a, b), mult(a, c))))))) | (~((~(mult(mult(mult(a, b), mult(a, b)), mult(a, c)) = mult(mult(a, b), mult(mult(a, b), mult(a, c))))) | (~(mult(mult(mult(a, b), mult(a, c)), mult(a, b)) = mult(mult(a, b), mult(mult(a, c), mult(a, b)))))))),
% 5.02/5.19 inference(modus_ponens,[status(thm)],[7244, 7243])).
% 5.02/5.19 tff(7246,plain,
% 5.02/5.19 ((~((~(mult(mult(mult(a, b), mult(a, b)), mult(a, c)) = mult(mult(a, b), mult(mult(a, c), mult(a, b))))) | (~(mult(mult(mult(a, b), mult(a, c)), mult(a, b)) = mult(mult(a, b), mult(mult(a, b), mult(a, c))))))) | (~((~(mult(mult(mult(a, b), mult(a, b)), mult(a, c)) = mult(mult(a, b), mult(mult(a, b), mult(a, c))))) | (~(mult(mult(mult(a, b), mult(a, c)), mult(a, b)) = mult(mult(a, b), mult(mult(a, c), mult(a, b)))))))),
% 5.02/5.19 inference(unit_resolution,[status(thm)],[7245, 30])).
% 5.02/5.19 tff(7247,plain,
% 5.02/5.19 (~((~(mult(mult(mult(a, b), mult(a, b)), mult(a, c)) = mult(mult(a, b), mult(mult(a, b), mult(a, c))))) | (~(mult(mult(mult(a, b), mult(a, c)), mult(a, b)) = mult(mult(a, b), mult(mult(a, c), mult(a, b))))))),
% 5.02/5.19 inference(unit_resolution,[status(thm)],[7246, 7242])).
% 5.02/5.19 tff(7248,plain,
% 5.02/5.19 (((~(mult(mult(mult(a, b), mult(a, b)), mult(a, c)) = mult(mult(a, b), mult(mult(a, b), mult(a, c))))) | (~(mult(mult(mult(a, b), mult(a, c)), mult(a, b)) = mult(mult(a, b), mult(mult(a, c), mult(a, b)))))) | (mult(mult(mult(a, b), mult(a, c)), mult(a, b)) = mult(mult(a, b), mult(mult(a, c), mult(a, b))))),
% 5.02/5.19 inference(tautology,[status(thm)],[])).
% 5.02/5.19 tff(7249,plain,
% 5.02/5.19 (mult(mult(mult(a, b), mult(a, c)), mult(a, b)) = mult(mult(a, b), mult(mult(a, c), mult(a, b)))),
% 5.02/5.19 inference(unit_resolution,[status(thm)],[7248, 7247])).
% 5.02/5.19 tff(7250,plain,
% 5.02/5.19 (mult(mult(a, b), mult(mult(a, c), mult(a, b))) = mult(mult(mult(a, b), mult(a, c)), mult(a, b))),
% 5.02/5.19 inference(symmetry,[status(thm)],[7249])).
% 5.02/5.19 tff(7251,plain,
% 5.02/5.19 (mult(mult(a, b), mult(c, mult(mult(a, a), b))) = mult(mult(a, b), mult(mult(a, c), mult(a, b)))),
% 5.02/5.19 inference(monotonicity,[status(thm)],[6007])).
% 5.02/5.19 tff(7252,plain,
% 5.02/5.19 (mult(mult(a, b), mult(c, mult(mult(a, a), b))) = mult(mult(mult(mult(b, c), a), a), mult(a, b))),
% 5.02/5.19 inference(transitivity,[status(thm)],[7251, 7250, 5979, 7240])).
% 5.02/5.19 tff(7253,plain,
% 5.02/5.19 ((mult(mult(mult(a, b), c), mult(mult(a, a), b)) = mult(mult(a, b), mult(c, mult(mult(a, a), b)))) <=> (mult(mult(mult(b, c), a), mult(a, mult(a, b))) = mult(mult(mult(mult(b, c), a), a), mult(a, b)))),
% 5.02/5.19 inference(monotonicity,[status(thm)],[7236, 7252])).
% 5.02/5.19 tff(7254,plain,
% 5.02/5.19 ((mult(mult(mult(a, b), c), mult(mult(a, a), b)) = mult(mult(a, b), mult(c, mult(mult(a, a), b)))) <=> (mult(mult(mult(mult(b, c), a), a), mult(a, b)) = mult(mult(mult(b, c), a), mult(a, mult(a, b))))),
% 5.02/5.19 inference(transitivity,[status(thm)],[7253, 7237])).
% 5.02/5.19 tff(7255,plain,
% 5.02/5.19 ((mult(mult(mult(mult(b, c), a), a), mult(a, b)) = mult(mult(mult(b, c), a), mult(a, mult(a, b)))) <=> (mult(mult(mult(a, b), c), mult(mult(a, a), b)) = mult(mult(a, b), mult(c, mult(mult(a, a), b))))),
% 5.02/5.19 inference(symmetry,[status(thm)],[7254])).
% 5.02/5.19 tff(7256,plain,
% 5.02/5.19 ((~(mult(mult(mult(mult(b, c), a), a), mult(a, b)) = mult(mult(mult(b, c), a), mult(a, mult(a, b))))) <=> (~(mult(mult(mult(a, b), c), mult(mult(a, a), b)) = mult(mult(a, b), mult(c, mult(mult(a, a), b)))))),
% 5.02/5.19 inference(monotonicity,[status(thm)],[7255])).
% 5.02/5.19 tff(7257,plain,
% 5.02/5.19 (mult(mult(a, a), mult(mult(a, b), c)) = mult(a, mult(mult(a, c), mult(a, b)))),
% 5.02/5.19 inference(transitivity,[status(thm)],[6649, 5467, 5482])).
% 5.02/5.19 tff(7258,plain,
% 5.02/5.19 (mult(a, mult(b, mult(a, c))) = mult(mult(a, mult(a, c)), b)),
% 5.02/5.19 inference(symmetry,[status(thm)],[5375])).
% 5.02/5.19 tff(7259,plain,
% 5.02/5.19 (mult(mult(mult(a, a), c), b) = mult(mult(a, mult(a, c)), b)),
% 5.02/5.19 inference(transitivity,[status(thm)],[5355, 5345, 611, 5310, 2160, 2720, 5309, 5377, 7258])).
% 5.02/5.19 tff(7260,plain,
% 5.02/5.19 (rd(mult(mult(mult(a, a), c), b), b) = rd(mult(mult(a, mult(a, c)), b), b)),
% 5.02/5.19 inference(monotonicity,[status(thm)],[7259])).
% 5.02/5.19 tff(7261,plain,
% 5.02/5.19 (mult(mult(a, a), c) = mult(a, mult(a, c))),
% 5.02/5.19 inference(transitivity,[status(thm)],[5380, 7260, 908])).
% 5.02/5.19 tff(7262,plain,
% 5.02/5.19 (mult(mult(mult(a, a), c), mult(a, b)) = mult(mult(a, mult(a, c)), mult(a, b))),
% 5.02/5.19 inference(monotonicity,[status(thm)],[7261])).
% 5.02/5.19 tff(7263,plain,
% 5.02/5.19 ((mult(mult(mult(a, a), c), mult(a, b)) = mult(mult(a, a), mult(mult(a, b), c))) <=> (mult(mult(a, mult(a, c)), mult(a, b)) = mult(a, mult(mult(a, c), mult(a, b))))),
% 5.02/5.19 inference(monotonicity,[status(thm)],[7262, 7257])).
% 5.02/5.19 tff(7264,plain,
% 5.02/5.19 ((mult(mult(a, mult(a, c)), mult(a, b)) = mult(a, mult(mult(a, c), mult(a, b)))) <=> (mult(mult(mult(a, a), c), mult(a, b)) = mult(mult(a, a), mult(mult(a, b), c)))),
% 5.02/5.19 inference(symmetry,[status(thm)],[7263])).
% 5.02/5.19 tff(7265,plain,
% 5.02/5.19 (mult(a, mult(mult(a, c), mult(a, b))) = mult(mult(a, a), mult(a, mult(c, b)))),
% 5.02/5.19 inference(transitivity,[status(thm)],[5470, 5468])).
% 5.02/5.19 tff(7266,plain,
% 5.02/5.19 (mult(mult(a, b), mult(a, c)) = mult(mult(a, mult(c, b)), a)),
% 5.02/5.19 inference(transitivity,[status(thm)],[5360, 608])).
% 5.02/5.19 tff(7267,plain,
% 5.02/5.19 (mult(a, mult(mult(a, b), mult(a, c))) = mult(a, mult(mult(a, mult(c, b)), a))),
% 5.02/5.19 inference(monotonicity,[status(thm)],[7266])).
% 5.02/5.19 tff(7268,plain,
% 5.02/5.19 (mult(a, mult(c, b)) = mult(mult(b, c), a)),
% 5.02/5.19 inference(transitivity,[status(thm)],[803, 5312, 4716])).
% 5.02/5.19 tff(7269,plain,
% 5.02/5.19 (mult(mult(a, a), mult(a, mult(c, b))) = mult(mult(a, a), mult(mult(b, c), a))),
% 5.02/5.19 inference(monotonicity,[status(thm)],[7268])).
% 5.02/5.19 tff(7270,plain,
% 5.02/5.19 (mult(mult(a, a), mult(mult(b, c), a)) = mult(mult(a, a), mult(a, mult(c, b)))),
% 5.02/5.19 inference(symmetry,[status(thm)],[7269])).
% 5.02/5.19 tff(7271,plain,
% 5.02/5.19 (mult(mult(a, mult(a, c)), b) = mult(mult(a, c), mult(a, b))),
% 5.02/5.19 inference(transitivity,[status(thm)],[5375, 5357, 5356, 607, 971])).
% 5.02/5.19 tff(7272,plain,
% 5.02/5.19 (mult(a, mult(mult(a, mult(a, c)), b)) = mult(a, mult(mult(a, c), mult(a, b)))),
% 5.02/5.19 inference(monotonicity,[status(thm)],[7271])).
% 5.02/5.19 tff(7273,plain,
% 5.02/5.19 (mult(a, mult(mult(a, c), mult(a, b))) = mult(a, mult(mult(a, mult(a, c)), b))),
% 5.02/5.19 inference(symmetry,[status(thm)],[7272])).
% 5.02/5.19 tff(7274,plain,
% 5.02/5.19 (mult(mult(a, a), mult(b, mult(a, c))) = mult(a, mult(mult(a, mult(a, c)), b))),
% 5.02/5.19 inference(transitivity,[status(thm)],[5572, 7270, 5467, 5482, 7273])).
% 5.02/5.19 tff(7275,plain,
% 5.02/5.19 (mult(mult(mult(a, a), mult(a, c)), b) = mult(mult(a, mult(a, mult(a, c))), b)),
% 5.02/5.19 inference(monotonicity,[status(thm)],[5403])).
% 5.02/5.19 tff(7276,plain,
% 5.02/5.19 ((mult(mult(mult(a, a), mult(a, c)), b) = mult(mult(a, a), mult(b, mult(a, c)))) <=> (mult(mult(a, mult(a, mult(a, c))), b) = mult(a, mult(mult(a, mult(a, c)), b)))),
% 5.02/5.19 inference(monotonicity,[status(thm)],[7275, 7274])).
% 5.02/5.19 tff(7277,plain,
% 5.02/5.19 ((mult(mult(a, mult(a, mult(a, c))), b) = mult(a, mult(mult(a, mult(a, c)), b))) <=> (mult(mult(mult(a, a), mult(a, c)), b) = mult(mult(a, a), mult(b, mult(a, c))))),
% 5.02/5.19 inference(symmetry,[status(thm)],[7276])).
% 5.02/5.19 tff(7278,plain,
% 5.02/5.19 (mult(a, mult(mult(a, mult(a, c)), b)) = mult(mult(a, a), mult(a, mult(c, b)))),
% 5.02/5.19 inference(transitivity,[status(thm)],[7272, 5470, 5468])).
% 5.02/5.19 tff(7279,plain,
% 5.02/5.19 (mult(mult(a, mult(a, mult(a, c))), b) = mult(a, mult(mult(a, mult(c, b)), a))),
% 5.02/5.19 inference(transitivity,[status(thm)],[5783, 5774])).
% 5.02/5.19 tff(7280,plain,
% 5.02/5.19 ((mult(mult(a, mult(a, mult(a, c))), b) = mult(a, mult(mult(a, mult(a, c)), b))) <=> (mult(a, mult(mult(a, mult(c, b)), a)) = mult(mult(a, a), mult(a, mult(c, b))))),
% 5.02/5.19 inference(monotonicity,[status(thm)],[7279, 7278])).
% 5.02/5.19 tff(7281,plain,
% 5.02/5.19 ((mult(mult(a, mult(a, mult(a, c))), b) = mult(a, mult(mult(a, mult(a, c)), b))) <=> (mult(mult(a, a), mult(a, mult(c, b))) = mult(a, mult(mult(a, mult(c, b)), a)))),
% 5.02/5.19 inference(transitivity,[status(thm)],[7280, 5438])).
% 5.02/5.19 tff(7282,plain,
% 5.02/5.19 ((mult(mult(a, a), mult(a, mult(c, b))) = mult(a, mult(mult(a, mult(c, b)), a))) <=> (mult(mult(a, mult(a, mult(a, c))), b) = mult(a, mult(mult(a, mult(a, c)), b)))),
% 5.02/5.19 inference(symmetry,[status(thm)],[7281])).
% 5.02/5.19 tff(7283,plain,
% 5.02/5.19 ((mult(mult(a, a), mult(a, mult(c, b))) = mult(a, mult(mult(a, mult(c, b)), a))) <=> (mult(mult(mult(a, a), mult(a, c)), b) = mult(mult(a, a), mult(b, mult(a, c))))),
% 5.02/5.19 inference(transitivity,[status(thm)],[7282, 7277])).
% 5.02/5.19 tff(7284,plain,
% 5.02/5.19 ((~(mult(mult(a, a), mult(a, mult(c, b))) = mult(a, mult(mult(a, mult(c, b)), a)))) <=> (~(mult(mult(mult(a, a), mult(a, c)), b) = mult(mult(a, a), mult(b, mult(a, c)))))),
% 5.02/5.19 inference(monotonicity,[status(thm)],[7283])).
% 5.02/5.19 tff(7285,plain,
% 5.02/5.19 (~(mult(mult(mult(a, a), mult(a, c)), b) = mult(mult(a, a), mult(b, mult(a, c))))),
% 5.02/5.19 inference(modus_ponens,[status(thm)],[5490, 7284])).
% 5.02/5.19 tff(7286,plain,
% 5.02/5.19 ((~(mult(mult(mult(a, a), b), mult(a, c)) = mult(mult(a, a), mult(mult(a, c), b)))) | (~(mult(mult(mult(a, a), mult(a, c)), b) = mult(mult(a, a), mult(b, mult(a, c)))))),
% 5.02/5.19 inference(unit_resolution,[status(thm)],[5591, 7285])).
% 5.02/5.19 tff(7287,plain,
% 5.02/5.19 (~((~(mult(mult(mult(a, a), b), mult(a, c)) = mult(mult(a, a), mult(b, mult(a, c))))) | (~(mult(mult(mult(a, a), mult(a, c)), b) = mult(mult(a, a), mult(mult(a, c), b)))))),
% 5.02/5.19 inference(unit_resolution,[status(thm)],[5589, 7286])).
% 5.02/5.19 tff(7288,plain,
% 5.02/5.19 (mult(mult(mult(a, a), b), mult(a, c)) = mult(mult(a, a), mult(b, mult(a, c)))),
% 5.02/5.19 inference(unit_resolution,[status(thm)],[5584, 7287])).
% 5.02/5.19 tff(7289,plain,
% 5.02/5.19 (mult(mult(a, mult(a, b)), mult(a, c)) = mult(mult(a, a), mult(a, mult(c, b)))),
% 5.02/5.19 inference(transitivity,[status(thm)],[6194, 7288, 5572, 7270])).
% 5.02/5.19 tff(7290,plain,
% 5.02/5.19 ((mult(mult(a, mult(a, b)), mult(a, c)) = mult(a, mult(mult(a, b), mult(a, c)))) <=> (mult(mult(a, a), mult(a, mult(c, b))) = mult(a, mult(mult(a, mult(c, b)), a)))),
% 5.02/5.20 inference(monotonicity,[status(thm)],[7289, 7267])).
% 5.02/5.20 tff(7291,plain,
% 5.02/5.20 ((mult(mult(a, a), mult(a, mult(c, b))) = mult(a, mult(mult(a, mult(c, b)), a))) <=> (mult(mult(a, mult(a, b)), mult(a, c)) = mult(a, mult(mult(a, b), mult(a, c))))),
% 5.02/5.20 inference(symmetry,[status(thm)],[7290])).
% 5.02/5.20 tff(7292,plain,
% 5.02/5.20 ((~(mult(mult(a, a), mult(a, mult(c, b))) = mult(a, mult(mult(a, mult(c, b)), a)))) <=> (~(mult(mult(a, mult(a, b)), mult(a, c)) = mult(a, mult(mult(a, b), mult(a, c)))))),
% 5.02/5.20 inference(monotonicity,[status(thm)],[7291])).
% 5.02/5.20 tff(7293,plain,
% 5.02/5.20 (~(mult(mult(a, mult(a, b)), mult(a, c)) = mult(a, mult(mult(a, b), mult(a, c))))),
% 5.02/5.20 inference(modus_ponens,[status(thm)],[5490, 7292])).
% 5.02/5.20 tff(7294,plain,
% 5.02/5.20 ((~(mult(mult(a, mult(a, b)), mult(a, c)) = mult(a, mult(mult(a, b), mult(a, c))))) | (~(mult(mult(a, mult(a, c)), mult(a, b)) = mult(a, mult(mult(a, c), mult(a, b)))))),
% 5.02/5.20 inference(unit_resolution,[status(thm)],[5621, 7293])).
% 5.02/5.20 tff(7295,plain,
% 5.02/5.20 (~((~(mult(mult(a, mult(a, b)), mult(a, c)) = mult(a, mult(mult(a, c), mult(a, b))))) | (~(mult(mult(a, mult(a, c)), mult(a, b)) = mult(a, mult(mult(a, b), mult(a, c))))))),
% 5.02/5.20 inference(unit_resolution,[status(thm)],[5626, 7294])).
% 5.02/5.20 tff(7296,plain,
% 5.02/5.20 (mult(mult(a, mult(a, c)), mult(a, b)) = mult(a, mult(mult(a, b), mult(a, c)))),
% 5.02/5.20 inference(unit_resolution,[status(thm)],[6221, 7295])).
% 5.02/5.20 tff(7297,plain,
% 5.02/5.20 (mult(mult(a, mult(a, c)), mult(a, b)) = mult(a, mult(mult(a, mult(c, b)), a))),
% 5.02/5.20 inference(transitivity,[status(thm)],[7296, 7267])).
% 5.02/5.20 tff(7298,plain,
% 5.02/5.20 ((mult(mult(a, mult(a, c)), mult(a, b)) = mult(a, mult(mult(a, c), mult(a, b)))) <=> (mult(a, mult(mult(a, mult(c, b)), a)) = mult(mult(a, a), mult(a, mult(c, b))))),
% 5.02/5.20 inference(monotonicity,[status(thm)],[7297, 7265])).
% 5.02/5.20 tff(7299,plain,
% 5.02/5.20 ((mult(mult(a, mult(a, c)), mult(a, b)) = mult(a, mult(mult(a, c), mult(a, b)))) <=> (mult(mult(a, a), mult(a, mult(c, b))) = mult(a, mult(mult(a, mult(c, b)), a)))),
% 5.02/5.20 inference(transitivity,[status(thm)],[7298, 5438])).
% 5.02/5.20 tff(7300,plain,
% 5.02/5.20 ((mult(mult(a, a), mult(a, mult(c, b))) = mult(a, mult(mult(a, mult(c, b)), a))) <=> (mult(mult(a, mult(a, c)), mult(a, b)) = mult(a, mult(mult(a, c), mult(a, b))))),
% 5.02/5.20 inference(symmetry,[status(thm)],[7299])).
% 5.02/5.20 tff(7301,plain,
% 5.02/5.20 ((mult(mult(a, a), mult(a, mult(c, b))) = mult(a, mult(mult(a, mult(c, b)), a))) <=> (mult(mult(mult(a, a), c), mult(a, b)) = mult(mult(a, a), mult(mult(a, b), c)))),
% 5.02/5.20 inference(transitivity,[status(thm)],[7300, 7264])).
% 5.02/5.20 tff(7302,plain,
% 5.02/5.20 ((~(mult(mult(a, a), mult(a, mult(c, b))) = mult(a, mult(mult(a, mult(c, b)), a)))) <=> (~(mult(mult(mult(a, a), c), mult(a, b)) = mult(mult(a, a), mult(mult(a, b), c))))),
% 5.02/5.20 inference(monotonicity,[status(thm)],[7301])).
% 5.02/5.20 tff(7303,plain,
% 5.02/5.20 (~(mult(mult(mult(a, a), c), mult(a, b)) = mult(mult(a, a), mult(mult(a, b), c)))),
% 5.02/5.20 inference(modus_ponens,[status(thm)],[5490, 7302])).
% 5.02/5.20 tff(7304,plain,
% 5.02/5.20 ((~(mult(mult(mult(a, a), mult(a, b)), c) = mult(mult(a, a), mult(c, mult(a, b))))) | (~(mult(mult(mult(a, a), c), mult(a, b)) = mult(mult(a, a), mult(mult(a, b), c))))),
% 5.02/5.20 inference(unit_resolution,[status(thm)],[6646, 7303])).
% 5.02/5.20 tff(7305,plain,
% 5.02/5.20 (~((~(mult(mult(mult(a, a), c), mult(a, b)) = mult(mult(a, a), mult(c, mult(a, b))))) | (~(mult(mult(mult(a, a), mult(a, b)), c) = mult(mult(a, a), mult(mult(a, b), c)))))),
% 5.02/5.20 inference(unit_resolution,[status(thm)],[6644, 7304])).
% 5.02/5.20 tff(7306,plain,
% 5.02/5.20 (mult(mult(mult(a, a), mult(a, b)), c) = mult(mult(a, a), mult(mult(a, b), c))),
% 5.02/5.20 inference(unit_resolution,[status(thm)],[6632, 7305])).
% 5.02/5.20 tff(7307,plain,
% 5.02/5.20 (mult(mult(mult(a, a), b), c) = mult(mult(mult(a, b), c), a)),
% 5.02/5.20 inference(transitivity,[status(thm)],[5347, 4709, 5292, 4822, 609])).
% 5.02/5.20 tff(7308,plain,
% 5.02/5.20 (mult(mult(mult(mult(a, a), b), c), a) = mult(mult(mult(mult(a, b), c), a), a)),
% 5.02/5.20 inference(monotonicity,[status(thm)],[7307])).
% 5.02/5.20 tff(7309,plain,
% 5.02/5.20 (mult(mult(mult(mult(a, a), b), c), a) = mult(a, mult(mult(a, c), mult(a, b)))),
% 5.02/5.20 inference(transitivity,[status(thm)],[7308, 5689, 5500, 5692])).
% 5.02/5.20 tff(7310,plain,
% 5.02/5.20 ((mult(mult(mult(mult(a, a), b), c), a) = mult(mult(mult(a, a), b), mult(a, c))) <=> (mult(a, mult(mult(a, c), mult(a, b))) = mult(mult(a, mult(a, b)), mult(a, c)))),
% 5.02/5.20 inference(monotonicity,[status(thm)],[7309, 6310])).
% 5.02/5.20 tff(7311,plain,
% 5.02/5.20 ((mult(mult(mult(mult(a, a), b), c), a) = mult(mult(mult(a, a), b), mult(a, c))) <=> (mult(mult(a, mult(a, b)), mult(a, c)) = mult(a, mult(mult(a, c), mult(a, b))))),
% 5.02/5.20 inference(transitivity,[status(thm)],[7310, 5536])).
% 5.02/5.20 tff(7312,plain,
% 5.02/5.20 ((mult(mult(a, mult(a, b)), mult(a, c)) = mult(a, mult(mult(a, c), mult(a, b)))) <=> (mult(mult(mult(mult(a, a), b), c), a) = mult(mult(mult(a, a), b), mult(a, c)))),
% 5.02/5.20 inference(symmetry,[status(thm)],[7311])).
% 5.02/5.20 tff(7313,plain,
% 5.02/5.20 (mult(mult(a, a), mult(b, mult(a, c))) = mult(a, mult(mult(a, c), mult(a, b)))),
% 5.02/5.20 inference(transitivity,[status(thm)],[5572, 7270, 5467, 5482])).
% 5.02/5.20 tff(7314,plain,
% 5.02/5.20 ((mult(mult(mult(a, a), b), mult(a, c)) = mult(mult(a, a), mult(b, mult(a, c)))) <=> (mult(mult(a, mult(a, b)), mult(a, c)) = mult(a, mult(mult(a, c), mult(a, b))))),
% 5.02/5.20 inference(monotonicity,[status(thm)],[6310, 7313])).
% 5.02/5.20 tff(7315,plain,
% 5.02/5.20 ((mult(mult(mult(a, a), b), mult(a, c)) = mult(mult(a, a), mult(b, mult(a, c)))) <=> (mult(mult(mult(mult(a, a), b), c), a) = mult(mult(mult(a, a), b), mult(a, c)))),
% 5.02/5.20 inference(transitivity,[status(thm)],[7314, 7312])).
% 5.02/5.20 tff(7316,plain,
% 5.02/5.20 (mult(mult(mult(mult(a, a), b), c), a) = mult(mult(mult(a, a), b), mult(a, c))),
% 5.02/5.20 inference(modus_ponens,[status(thm)],[7288, 7315])).
% 5.02/5.20 tff(7317,plain,
% 5.02/5.20 ((mult(a, mult(a, mult(a, b))) = mult(mult(a, a), mult(a, b))) <=> (mult(mult(a, a), mult(a, b)) = mult(a, mult(a, mult(a, b))))),
% 5.02/5.20 inference(commutativity,[status(thm)],[])).
% 5.02/5.20 tff(7318,plain,
% 5.02/5.20 (mult(a, mult(a, mult(a, b))) = mult(a, mult(mult(a, a), b))),
% 5.02/5.20 inference(monotonicity,[status(thm)],[6193])).
% 5.02/5.20 tff(7319,plain,
% 5.02/5.20 (mult(a, mult(mult(a, a), b)) = mult(a, mult(a, mult(a, b)))),
% 5.02/5.20 inference(symmetry,[status(thm)],[7318])).
% 5.02/5.20 tff(7320,plain,
% 5.02/5.20 ((~![B: $i, A: $i] : (rd(mult(A, B), B) = A)) | (rd(mult(mult(a, mult(mult(a, a), b)), c), c) = mult(a, mult(mult(a, a), b)))),
% 5.02/5.20 inference(quant_inst,[status(thm)],[])).
% 5.02/5.20 tff(7321,plain,
% 5.02/5.20 (rd(mult(mult(a, mult(mult(a, a), b)), c), c) = mult(a, mult(mult(a, a), b))),
% 5.02/5.20 inference(unit_resolution,[status(thm)],[7320, 72])).
% 5.02/5.20 tff(7322,plain,
% 5.02/5.20 (mult(a, mult(c, mult(mult(a, a), b))) = mult(mult(a, mult(mult(a, a), b)), c)),
% 5.02/5.20 inference(symmetry,[status(thm)],[6033])).
% 5.02/5.20 tff(7323,plain,
% 5.02/5.20 (mult(a, mult(mult(a, c), mult(a, b))) = mult(a, mult(c, mult(mult(a, a), b)))),
% 5.02/5.20 inference(symmetry,[status(thm)],[6008])).
% 5.02/5.20 tff(7324,plain,
% 5.02/5.20 (mult(mult(mult(a, mult(a, a)), b), c) = mult(mult(a, mult(mult(a, a), b)), c)),
% 5.02/5.20 inference(transitivity,[status(thm)],[5817, 5710, 5695, 5467, 5482, 7323, 7322])).
% 5.02/5.20 tff(7325,plain,
% 5.02/5.20 (rd(mult(mult(mult(a, mult(a, a)), b), c), c) = rd(mult(mult(a, mult(mult(a, a), b)), c), c)),
% 5.02/5.20 inference(monotonicity,[status(thm)],[7324])).
% 5.02/5.20 tff(7326,plain,
% 5.02/5.20 (mult(mult(a, mult(a, a)), b) = rd(mult(mult(mult(a, mult(a, a)), b), c), c)),
% 5.02/5.20 inference(symmetry,[status(thm)],[6332])).
% 5.02/5.20 tff(7327,plain,
% 5.02/5.20 (mult(mult(mult(a, a), a), b) = mult(mult(a, mult(a, a)), b)),
% 5.02/5.20 inference(monotonicity,[status(thm)],[5708])).
% 5.02/5.20 tff(7328,plain,
% 5.02/5.20 (mult(mult(mult(a, a), a), b) = mult(a, mult(a, mult(a, b)))),
% 5.02/5.20 inference(transitivity,[status(thm)],[7327, 7326, 7325, 7321, 7319])).
% 5.02/5.20 tff(7329,plain,
% 5.02/5.20 ((mult(mult(mult(a, a), a), b) = mult(mult(a, a), mult(a, b))) <=> (mult(a, mult(a, mult(a, b))) = mult(mult(a, a), mult(a, b)))),
% 5.02/5.20 inference(monotonicity,[status(thm)],[7328])).
% 5.02/5.20 tff(7330,plain,
% 5.02/5.20 ((mult(mult(mult(a, a), a), b) = mult(mult(a, a), mult(a, b))) <=> (mult(mult(a, a), mult(a, b)) = mult(a, mult(a, mult(a, b))))),
% 5.02/5.20 inference(transitivity,[status(thm)],[7329, 7317])).
% 5.02/5.20 tff(7331,plain,
% 5.02/5.20 ((mult(mult(a, a), mult(a, b)) = mult(a, mult(a, mult(a, b)))) <=> (mult(mult(mult(a, a), a), b) = mult(mult(a, a), mult(a, b)))),
% 5.02/5.20 inference(symmetry,[status(thm)],[7330])).
% 5.02/5.20 tff(7332,plain,
% 5.02/5.20 (mult(mult(mult(a, a), mult(a, b)), c) = mult(mult(a, mult(mult(a, a), b)), c)),
% 5.02/5.20 inference(transitivity,[status(thm)],[7306, 6649, 5467, 5482, 7323, 7322])).
% 5.02/5.20 tff(7333,plain,
% 5.02/5.20 (rd(mult(mult(mult(a, a), mult(a, b)), c), c) = rd(mult(mult(a, mult(mult(a, a), b)), c), c)),
% 5.02/5.20 inference(monotonicity,[status(thm)],[7332])).
% 5.02/5.20 tff(7334,plain,
% 5.02/5.20 (mult(mult(a, a), mult(a, b)) = mult(a, mult(a, mult(a, b)))),
% 5.02/5.20 inference(transitivity,[status(thm)],[6367, 7333, 7321, 7319])).
% 5.02/5.20 tff(7335,plain,
% 5.02/5.20 (mult(mult(mult(a, a), a), b) = mult(mult(a, a), mult(a, b))),
% 5.02/5.20 inference(modus_ponens,[status(thm)],[7334, 7331])).
% 5.02/5.20 tff(7336,assumption,(~((~(mult(mult(mult(mult(b, c), a), mult(a, b)), a) = mult(mult(mult(b, c), a), mult(mult(a, b), a)))) | (~(mult(mult(mult(mult(b, c), a), a), mult(a, b)) = mult(mult(mult(b, c), a), mult(a, mult(a, b))))))), introduced(assumption)).
% 5.02/5.20 tff(7337,plain,
% 5.02/5.20 (mult(mult(mult(mult(b, c), a), mult(a, b)), a) = mult(mult(mult(b, c), a), mult(mult(a, b), a))),
% 5.02/5.20 inference(unit_resolution,[status(thm)],[6151, 7336])).
% 5.02/5.20 tff(7338,plain,
% 5.02/5.20 (mult(mult(a, a), mult(a, mult(c, b))) = mult(mult(mult(a, a), a), mult(c, b))),
% 5.02/5.20 inference(symmetry,[status(thm)],[6330])).
% 5.02/5.20 tff(7339,plain,
% 5.02/5.20 (mult(c, mult(mult(a, a), b)) = mult(mult(a, c), mult(a, b))),
% 5.02/5.20 inference(transitivity,[status(thm)],[6006, 6346, 6599, 594])).
% 5.02/5.20 tff(7340,plain,
% 5.02/5.20 (mult(a, mult(c, mult(mult(a, a), b))) = mult(a, mult(mult(a, c), mult(a, b)))),
% 5.02/5.20 inference(monotonicity,[status(thm)],[7339])).
% 5.02/5.20 tff(7341,plain,
% 5.02/5.20 (mult(a, mult(mult(a, c), mult(a, b))) = mult(a, mult(c, mult(mult(a, a), b)))),
% 5.02/5.20 inference(symmetry,[status(thm)],[7340])).
% 5.02/5.20 tff(7342,plain,
% 5.02/5.20 (mult(mult(mult(a, a), mult(a, b)), c) = mult(mult(a, mult(mult(a, a), b)), c)),
% 5.02/5.20 inference(transitivity,[status(thm)],[6320, 6649, 6099, 6093, 7341, 6337])).
% 5.02/5.20 tff(7343,plain,
% 5.02/5.20 (rd(mult(mult(mult(a, a), mult(a, b)), c), c) = rd(mult(mult(a, mult(mult(a, a), b)), c), c)),
% 5.02/5.20 inference(monotonicity,[status(thm)],[7342])).
% 5.02/5.20 tff(7344,assumption,(mult(mult(mult(a, a), a), b) = mult(mult(a, a), mult(a, b))), introduced(assumption)).
% 5.02/5.20 tff(7345,plain,
% 5.02/5.20 (mult(mult(a, mult(a, a)), b) = mult(mult(mult(a, a), a), b)),
% 5.02/5.20 inference(monotonicity,[status(thm)],[5709])).
% 5.02/5.20 tff(7346,plain,
% 5.02/5.20 (mult(mult(a, mult(a, a)), b) = mult(a, mult(mult(a, a), b))),
% 5.02/5.20 inference(transitivity,[status(thm)],[7345, 7344, 6367, 7343, 7321])).
% 5.02/5.20 tff(7347,plain,
% 5.02/5.20 (mult(mult(mult(a, mult(a, a)), b), c) = mult(mult(a, mult(mult(a, a), b)), c)),
% 5.02/5.20 inference(monotonicity,[status(thm)],[7346])).
% 5.02/5.20 tff(7348,plain,
% 5.02/5.20 (mult(mult(mult(a, mult(a, a)), b), c) = mult(mult(a, mult(a, a)), mult(c, b))),
% 5.02/5.20 inference(transitivity,[status(thm)],[7347, 6055, 7340, 6092, 6199, 7338, 5799])).
% 5.02/5.20 tff(7349,plain,
% 5.02/5.20 (~(mult(mult(mult(a, mult(a, a)), mult(b, c)), b) = mult(mult(a, mult(a, a)), mult(mult(b, c), b)))),
% 5.02/5.20 inference(unit_resolution,[status(thm)],[5952, 7348, 6038, 6099, 593, 91, 594, 97, 707, 6326, 269, 1110, 6066, 6568])).
% 5.02/5.20 tff(7350,plain,
% 5.02/5.20 (~((~(mult(mult(mult(a, mult(a, a)), mult(b, c)), b) = mult(mult(a, mult(a, a)), mult(b, mult(b, c))))) | (~(mult(mult(mult(a, mult(a, a)), b), mult(b, c)) = mult(mult(a, mult(a, a)), mult(mult(b, c), b)))))),
% 5.02/5.20 inference(unit_resolution,[status(thm)],[6578, 7349])).
% 5.02/5.20 tff(7351,plain,
% 5.02/5.20 (mult(mult(mult(a, mult(a, a)), b), mult(b, c)) = mult(mult(a, mult(a, a)), mult(mult(b, c), b))),
% 5.02/5.20 inference(unit_resolution,[status(thm)],[6580, 7350])).
% 5.02/5.20 tff(7352,plain,
% 5.02/5.20 ((mult(mult(mult(a, a), mult(a, b)), mult(b, c)) = mult(mult(a, a), mult(mult(b, c), mult(a, b)))) | (~(mult(mult(mult(a, mult(a, a)), b), mult(b, c)) = mult(mult(a, mult(a, a)), mult(mult(b, c), b)))) | (~(mult(mult(mult(a, mult(a, a)), b), c) = mult(mult(a, mult(a, a)), mult(c, b)))) | (~(mult(mult(mult(a, a), a), mult(c, b)) = mult(mult(a, a), mult(a, mult(c, b))))) | (~(mult(mult(a, a), mult(a, mult(c, b))) = mult(a, mult(a, mult(a, mult(c, b)))))) | (~(mult(mult(a, c), mult(a, b)) = mult(a, mult(mult(a, b), c)))) | (~(mult(mult(a, b), c) = mult(a, mult(c, b)))) | (~(mult(mult(mult(a, c), b), a) = mult(mult(a, c), mult(a, b)))) | (~(mult(mult(a, c), b) = mult(a, mult(b, c)))) | (~(mult(mult(mult(a, b), mult(a, c)), a) = mult(mult(a, b), mult(a, mult(a, c))))) | (~(mult(mult(mult(a, b), c), a) = mult(mult(a, b), mult(a, c)))) | (~(mult(mult(a, mult(c, b)), a) = mult(a, mult(mult(c, b), a)))) | (~(mult(mult(c, b), a) = mult(c, mult(a, b)))) | (~(mult(mult(b, mult(a, c)), a) = mult(b, mult(a, mult(a, c))))) | (~(mult(mult(a, mult(b, c)), a) = mult(a, mult(mult(b, c), a)))) | (~(mult(mult(mult(mult(b, c), a), mult(a, b)), a) = mult(mult(mult(b, c), a), mult(mult(a, b), a)))) | (~(mult(mult(a, mult(a, b)), c) = mult(a, mult(c, mult(a, b))))) | (~(mult(mult(mult(a, a), b), c) = mult(mult(a, a), mult(b, c)))) | (~(mult(mult(a, mult(mult(a, a), b)), c) = mult(a, mult(c, mult(mult(a, a), b))))) | (~(mult(mult(c, mult(a, b)), a) = mult(c, mult(a, mult(a, b))))) | (~(mult(mult(a, a), mult(b, c)) = mult(a, mult(a, mult(b, c))))) | (~(mult(mult(mult(a, a), mult(a, b)), c) = mult(mult(a, a), mult(mult(a, b), c))))),
% 5.02/5.20 inference(unit_resolution,[status(thm)],[6479, 3433, 4190])).
% 5.02/5.20 tff(7353,plain,
% 5.02/5.20 (mult(mult(mult(a, a), mult(a, b)), mult(b, c)) = mult(mult(a, a), mult(mult(b, c), mult(a, b)))),
% 5.02/5.20 inference(unit_resolution,[status(thm)],[7352, 7337, 6320, 6330, 6099, 593, 91, 594, 97, 7351, 168, 707, 1110, 5328, 6038, 6309, 269, 6326, 6055, 6056, 6066, 7348])).
% 5.02/5.20 tff(7354,plain,
% 5.02/5.20 ((~(mult(mult(a, mult(b, c)), mult(a, b)) = mult(a, mult(mult(b, c), mult(a, b))))) | (mult(mult(a, c), b) = mult(a, mult(c, b))) | (~(mult(mult(mult(a, c), b), a) = mult(mult(a, c), mult(a, b)))) | (~(mult(mult(a, c), mult(a, b)) = mult(a, mult(mult(a, b), c)))) | (~(mult(mult(mult(a, b), c), a) = mult(mult(a, b), mult(a, c)))) | (~(mult(mult(mult(a, a), mult(a, b)), mult(b, c)) = mult(mult(a, a), mult(mult(b, c), mult(a, b))))) | (~(mult(mult(mult(a, mult(a, a)), b), mult(b, c)) = mult(mult(a, mult(a, a)), mult(mult(b, c), b)))) | (~(mult(mult(a, mult(mult(a, a), b)), c) = mult(a, mult(c, mult(mult(a, a), b))))) | (~(mult(mult(mult(a, mult(a, a)), b), c) = mult(mult(a, mult(a, a)), mult(c, b)))) | (~(mult(mult(mult(a, a), a), mult(c, b)) = mult(mult(a, a), mult(a, mult(c, b))))) | (~(mult(mult(a, a), mult(a, mult(c, b))) = mult(a, mult(a, mult(a, mult(c, b)))))) | (~(mult(mult(c, mult(a, b)), a) = mult(c, mult(a, mult(a, b))))) | (~(mult(mult(mult(a, a), b), c) = mult(mult(a, a), mult(b, c)))) | (~(mult(mult(a, mult(a, b)), c) = mult(a, mult(c, mult(a, b))))) | (~(mult(mult(mult(a, a), mult(a, b)), c) = mult(mult(a, a), mult(mult(a, b), c)))) | (~(mult(mult(a, mult(c, b)), a) = mult(a, mult(mult(c, b), a)))) | (~(mult(mult(c, b), a) = mult(c, mult(a, b)))) | (~(mult(mult(mult(mult(a, a), b), c), a) = mult(mult(mult(a, a), b), mult(a, c)))) | (~(mult(mult(mult(mult(b, c), a), mult(a, b)), a) = mult(mult(mult(b, c), a), mult(mult(a, b), a))))),
% 5.02/5.20 inference(unit_resolution,[status(thm)],[6519, 3433, 4190])).
% 5.02/5.20 tff(7355,plain,
% 5.02/5.20 (~(mult(mult(a, mult(b, c)), mult(a, b)) = mult(a, mult(mult(b, c), mult(a, b))))),
% 5.02/5.20 inference(unit_resolution,[status(thm)],[7354, 7353, 594, 593, 168, 7337, 7351, 6055, 7348, 6330, 6099, 6056, 6326, 269, 6320, 707, 1110, 6321, 41])).
% 5.02/5.20 tff(7356,plain,
% 5.02/5.20 ((~(mult(mult(mult(a, a), mult(b, c)), mult(a, b)) = mult(mult(a, a), mult(mult(a, b), mult(b, c))))) | (mult(mult(a, mult(b, c)), mult(a, b)) = mult(a, mult(mult(b, c), mult(a, b)))) | (~(mult(mult(mult(a, mult(a, a)), b), mult(b, c)) = mult(mult(a, mult(a, a)), mult(mult(b, c), b)))) | (~(mult(mult(a, mult(mult(a, a), b)), c) = mult(a, mult(c, mult(mult(a, a), b))))) | (~(mult(mult(mult(a, mult(a, a)), b), c) = mult(mult(a, mult(a, a)), mult(c, b)))) | (~(mult(mult(mult(a, a), a), mult(c, b)) = mult(mult(a, a), mult(a, mult(c, b))))) | (~(mult(mult(a, a), mult(a, mult(c, b))) = mult(a, mult(a, mult(a, mult(c, b)))))) | (~(mult(mult(a, c), mult(a, b)) = mult(a, mult(mult(a, b), c)))) | (~(mult(mult(a, b), c) = mult(a, mult(c, b)))) | (~(mult(mult(c, mult(a, b)), a) = mult(c, mult(a, mult(a, b))))) | (~(mult(mult(mult(a, c), b), a) = mult(mult(a, c), mult(a, b)))) | (~(mult(mult(a, a), mult(b, c)) = mult(a, mult(a, mult(b, c))))) | (~(mult(mult(mult(a, a), b), c) = mult(mult(a, a), mult(b, c)))) | (~(mult(mult(a, mult(a, b)), c) = mult(a, mult(c, mult(a, b))))) | (~(mult(mult(a, c), b) = mult(a, mult(b, c)))) | (~(mult(mult(mult(a, a), mult(a, b)), c) = mult(mult(a, a), mult(mult(a, b), c)))) | (~(mult(mult(a, mult(b, c)), a) = mult(a, mult(mult(b, c), a)))) | (~(mult(mult(a, mult(c, b)), a) = mult(a, mult(mult(c, b), a)))) | (~(mult(mult(c, b), a) = mult(c, mult(a, b)))) | (~(mult(mult(mult(mult(a, a), b), c), a) = mult(mult(mult(a, a), b), mult(a, c)))) | (~(mult(mult(mult(a, b), mult(a, c)), a) = mult(mult(a, b), mult(a, mult(a, c))))) | (~(mult(mult(mult(a, b), c), a) = mult(mult(a, b), mult(a, c)))) | (~(mult(mult(b, mult(a, c)), a) = mult(b, mult(a, mult(a, c))))) | (~(mult(mult(mult(mult(b, c), a), mult(a, b)), a) = mult(mult(mult(b, c), a), mult(mult(a, b), a))))),
% 5.02/5.21 inference(unit_resolution,[status(thm)],[6555, 4190, 3433])).
% 5.02/5.21 tff(7357,plain,
% 5.02/5.21 (~(mult(mult(mult(a, a), mult(b, c)), mult(a, b)) = mult(mult(a, a), mult(mult(a, b), mult(b, c))))),
% 5.02/5.21 inference(unit_resolution,[status(thm)],[7356, 7355, 7351, 6055, 7348, 6330, 6099, 593, 91, 6056, 594, 6066, 6326, 269, 97, 6320, 6038, 707, 1110, 6321, 6309, 168, 5328, 7337])).
% 5.02/5.21 tff(7358,plain,
% 5.02/5.21 ((~(mult(mult(mult(a, a), mult(a, b)), mult(b, c)) = mult(mult(a, a), mult(mult(b, c), mult(a, b))))) | (~(mult(mult(mult(a, a), mult(b, c)), mult(a, b)) = mult(mult(a, a), mult(mult(a, b), mult(b, c)))))),
% 5.02/5.21 inference(unit_resolution,[status(thm)],[6558, 7357])).
% 5.02/5.21 tff(7359,plain,
% 5.02/5.21 (((~((~(mult(mult(mult(a, a), mult(a, b)), mult(b, c)) = mult(mult(a, a), mult(mult(b, c), mult(a, b))))) | (~(mult(mult(mult(a, a), mult(b, c)), mult(a, b)) = mult(mult(a, a), mult(mult(a, b), mult(b, c))))))) | (~((~(mult(mult(mult(a, a), mult(a, b)), mult(b, c)) = mult(mult(a, a), mult(mult(a, b), mult(b, c))))) | (~(mult(mult(mult(a, a), mult(b, c)), mult(a, b)) = mult(mult(a, a), mult(mult(b, c), mult(a, b)))))))) <=> ((~((~(mult(mult(mult(a, a), mult(a, b)), mult(b, c)) = mult(mult(a, a), mult(mult(b, c), mult(a, b))))) | (~(mult(mult(mult(a, a), mult(b, c)), mult(a, b)) = mult(mult(a, a), mult(mult(a, b), mult(b, c))))))) | (~((~(mult(mult(mult(a, a), mult(a, b)), mult(b, c)) = mult(mult(a, a), mult(mult(a, b), mult(b, c))))) | (~(mult(mult(mult(a, a), mult(b, c)), mult(a, b)) = mult(mult(a, a), mult(mult(b, c), mult(a, b))))))))),
% 5.02/5.21 inference(rewrite,[status(thm)],[])).
% 5.02/5.21 tff(7360,plain,
% 5.02/5.21 ((~((~(mult(mult(mult(a, a), mult(b, c)), mult(a, b)) = mult(mult(a, a), mult(mult(b, c), mult(a, b))))) | (~(mult(mult(mult(a, a), mult(a, b)), mult(b, c)) = mult(mult(a, a), mult(mult(a, b), mult(b, c))))))) <=> (~((~(mult(mult(mult(a, a), mult(a, b)), mult(b, c)) = mult(mult(a, a), mult(mult(a, b), mult(b, c))))) | (~(mult(mult(mult(a, a), mult(b, c)), mult(a, b)) = mult(mult(a, a), mult(mult(b, c), mult(a, b)))))))),
% 5.02/5.21 inference(rewrite,[status(thm)],[])).
% 5.02/5.21 tff(7361,plain,
% 5.02/5.21 ((~((~(mult(mult(mult(a, a), mult(b, c)), mult(a, b)) = mult(mult(a, a), mult(mult(a, b), mult(b, c))))) | (~(mult(mult(mult(a, a), mult(a, b)), mult(b, c)) = mult(mult(a, a), mult(mult(b, c), mult(a, b))))))) <=> (~((~(mult(mult(mult(a, a), mult(a, b)), mult(b, c)) = mult(mult(a, a), mult(mult(b, c), mult(a, b))))) | (~(mult(mult(mult(a, a), mult(b, c)), mult(a, b)) = mult(mult(a, a), mult(mult(a, b), mult(b, c)))))))),
% 5.02/5.21 inference(rewrite,[status(thm)],[])).
% 5.02/5.21 tff(7362,plain,
% 5.02/5.21 (((~((~(mult(mult(mult(a, a), mult(b, c)), mult(a, b)) = mult(mult(a, a), mult(mult(a, b), mult(b, c))))) | (~(mult(mult(mult(a, a), mult(a, b)), mult(b, c)) = mult(mult(a, a), mult(mult(b, c), mult(a, b))))))) | (~((~(mult(mult(mult(a, a), mult(b, c)), mult(a, b)) = mult(mult(a, a), mult(mult(b, c), mult(a, b))))) | (~(mult(mult(mult(a, a), mult(a, b)), mult(b, c)) = mult(mult(a, a), mult(mult(a, b), mult(b, c)))))))) <=> ((~((~(mult(mult(mult(a, a), mult(a, b)), mult(b, c)) = mult(mult(a, a), mult(mult(b, c), mult(a, b))))) | (~(mult(mult(mult(a, a), mult(b, c)), mult(a, b)) = mult(mult(a, a), mult(mult(a, b), mult(b, c))))))) | (~((~(mult(mult(mult(a, a), mult(a, b)), mult(b, c)) = mult(mult(a, a), mult(mult(a, b), mult(b, c))))) | (~(mult(mult(mult(a, a), mult(b, c)), mult(a, b)) = mult(mult(a, a), mult(mult(b, c), mult(a, b))))))))),
% 5.02/5.21 inference(monotonicity,[status(thm)],[7361, 7360])).
% 5.02/5.21 tff(7363,plain,
% 5.02/5.21 (((~((~(mult(mult(mult(a, a), mult(b, c)), mult(a, b)) = mult(mult(a, a), mult(mult(a, b), mult(b, c))))) | (~(mult(mult(mult(a, a), mult(a, b)), mult(b, c)) = mult(mult(a, a), mult(mult(b, c), mult(a, b))))))) | (~((~(mult(mult(mult(a, a), mult(b, c)), mult(a, b)) = mult(mult(a, a), mult(mult(b, c), mult(a, b))))) | (~(mult(mult(mult(a, a), mult(a, b)), mult(b, c)) = mult(mult(a, a), mult(mult(a, b), mult(b, c)))))))) <=> ((~((~(mult(mult(mult(a, a), mult(a, b)), mult(b, c)) = mult(mult(a, a), mult(mult(b, c), mult(a, b))))) | (~(mult(mult(mult(a, a), mult(b, c)), mult(a, b)) = mult(mult(a, a), mult(mult(a, b), mult(b, c))))))) | (~((~(mult(mult(mult(a, a), mult(a, b)), mult(b, c)) = mult(mult(a, a), mult(mult(a, b), mult(b, c))))) | (~(mult(mult(mult(a, a), mult(b, c)), mult(a, b)) = mult(mult(a, a), mult(mult(b, c), mult(a, b))))))))),
% 5.02/5.21 inference(transitivity,[status(thm)],[7362, 7359])).
% 5.02/5.21 tff(7364,plain,
% 5.02/5.21 (((~![X0: $i, X1: $i, X2: $i] : ((~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X2, X1)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X1, X2)))))) | (~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X1, X2)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X2, X1)))))))) | ((~((~(mult(mult(mult(a, a), mult(b, c)), mult(a, b)) = mult(mult(a, a), mult(mult(a, b), mult(b, c))))) | (~(mult(mult(mult(a, a), mult(a, b)), mult(b, c)) = mult(mult(a, a), mult(mult(b, c), mult(a, b))))))) | (~((~(mult(mult(mult(a, a), mult(b, c)), mult(a, b)) = mult(mult(a, a), mult(mult(b, c), mult(a, b))))) | (~(mult(mult(mult(a, a), mult(a, b)), mult(b, c)) = mult(mult(a, a), mult(mult(a, b), mult(b, c))))))))) <=> ((~![X0: $i, X1: $i, X2: $i] : ((~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X2, X1)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X1, X2)))))) | (~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X1, X2)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X2, X1)))))))) | ((~((~(mult(mult(mult(a, a), mult(a, b)), mult(b, c)) = mult(mult(a, a), mult(mult(b, c), mult(a, b))))) | (~(mult(mult(mult(a, a), mult(b, c)), mult(a, b)) = mult(mult(a, a), mult(mult(a, b), mult(b, c))))))) | (~((~(mult(mult(mult(a, a), mult(a, b)), mult(b, c)) = mult(mult(a, a), mult(mult(a, b), mult(b, c))))) | (~(mult(mult(mult(a, a), mult(b, c)), mult(a, b)) = mult(mult(a, a), mult(mult(b, c), mult(a, b)))))))))),
% 5.02/5.21 inference(monotonicity,[status(thm)],[7363])).
% 5.02/5.21 tff(7365,plain,
% 5.02/5.21 (((~![X0: $i, X1: $i, X2: $i] : ((~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X2, X1)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X1, X2)))))) | (~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X1, X2)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X2, X1)))))))) | ((~((~(mult(mult(mult(a, a), mult(b, c)), mult(a, b)) = mult(mult(a, a), mult(mult(a, b), mult(b, c))))) | (~(mult(mult(mult(a, a), mult(a, b)), mult(b, c)) = mult(mult(a, a), mult(mult(b, c), mult(a, b))))))) | (~((~(mult(mult(mult(a, a), mult(b, c)), mult(a, b)) = mult(mult(a, a), mult(mult(b, c), mult(a, b))))) | (~(mult(mult(mult(a, a), mult(a, b)), mult(b, c)) = mult(mult(a, a), mult(mult(a, b), mult(b, c))))))))) <=> ((~![X0: $i, X1: $i, X2: $i] : ((~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X2, X1)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X1, X2)))))) | (~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X1, X2)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X2, X1)))))))) | (~((~(mult(mult(mult(a, a), mult(a, b)), mult(b, c)) = mult(mult(a, a), mult(mult(b, c), mult(a, b))))) | (~(mult(mult(mult(a, a), mult(b, c)), mult(a, b)) = mult(mult(a, a), mult(mult(a, b), mult(b, c))))))) | (~((~(mult(mult(mult(a, a), mult(a, b)), mult(b, c)) = mult(mult(a, a), mult(mult(a, b), mult(b, c))))) | (~(mult(mult(mult(a, a), mult(b, c)), mult(a, b)) = mult(mult(a, a), mult(mult(b, c), mult(a, b))))))))),
% 5.02/5.21 inference(transitivity,[status(thm)],[7364, 6470])).
% 5.02/5.21 tff(7366,plain,
% 5.02/5.21 ((~![X0: $i, X1: $i, X2: $i] : ((~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X2, X1)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X1, X2)))))) | (~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X1, X2)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X2, X1)))))))) | ((~((~(mult(mult(mult(a, a), mult(b, c)), mult(a, b)) = mult(mult(a, a), mult(mult(a, b), mult(b, c))))) | (~(mult(mult(mult(a, a), mult(a, b)), mult(b, c)) = mult(mult(a, a), mult(mult(b, c), mult(a, b))))))) | (~((~(mult(mult(mult(a, a), mult(b, c)), mult(a, b)) = mult(mult(a, a), mult(mult(b, c), mult(a, b))))) | (~(mult(mult(mult(a, a), mult(a, b)), mult(b, c)) = mult(mult(a, a), mult(mult(a, b), mult(b, c))))))))),
% 5.02/5.21 inference(quant_inst,[status(thm)],[])).
% 5.02/5.21 tff(7367,plain,
% 5.02/5.21 ((~![X0: $i, X1: $i, X2: $i] : ((~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X2, X1)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X1, X2)))))) | (~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X1, X2)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X2, X1)))))))) | (~((~(mult(mult(mult(a, a), mult(a, b)), mult(b, c)) = mult(mult(a, a), mult(mult(b, c), mult(a, b))))) | (~(mult(mult(mult(a, a), mult(b, c)), mult(a, b)) = mult(mult(a, a), mult(mult(a, b), mult(b, c))))))) | (~((~(mult(mult(mult(a, a), mult(a, b)), mult(b, c)) = mult(mult(a, a), mult(mult(a, b), mult(b, c))))) | (~(mult(mult(mult(a, a), mult(b, c)), mult(a, b)) = mult(mult(a, a), mult(mult(b, c), mult(a, b)))))))),
% 5.02/5.21 inference(modus_ponens,[status(thm)],[7366, 7365])).
% 5.02/5.21 tff(7368,plain,
% 5.02/5.21 ((~((~(mult(mult(mult(a, a), mult(a, b)), mult(b, c)) = mult(mult(a, a), mult(mult(b, c), mult(a, b))))) | (~(mult(mult(mult(a, a), mult(b, c)), mult(a, b)) = mult(mult(a, a), mult(mult(a, b), mult(b, c))))))) | (~((~(mult(mult(mult(a, a), mult(a, b)), mult(b, c)) = mult(mult(a, a), mult(mult(a, b), mult(b, c))))) | (~(mult(mult(mult(a, a), mult(b, c)), mult(a, b)) = mult(mult(a, a), mult(mult(b, c), mult(a, b)))))))),
% 5.02/5.21 inference(unit_resolution,[status(thm)],[7367, 30])).
% 5.02/5.21 tff(7369,plain,
% 5.02/5.21 (~((~(mult(mult(mult(a, a), mult(a, b)), mult(b, c)) = mult(mult(a, a), mult(mult(a, b), mult(b, c))))) | (~(mult(mult(mult(a, a), mult(b, c)), mult(a, b)) = mult(mult(a, a), mult(mult(b, c), mult(a, b))))))),
% 5.02/5.21 inference(unit_resolution,[status(thm)],[7368, 7358])).
% 5.02/5.21 tff(7370,plain,
% 5.02/5.21 (mult(mult(mult(a, a), mult(a, b)), mult(b, c)) = mult(mult(a, a), mult(mult(a, b), mult(b, c)))),
% 5.02/5.21 inference(unit_resolution,[status(thm)],[6561, 7369])).
% 5.02/5.21 tff(7371,plain,
% 5.02/5.21 (mult(mult(mult(a, a), a), b) = mult(mult(a, mult(a, a)), b)),
% 5.02/5.21 inference(symmetry,[status(thm)],[7345])).
% 5.02/5.21 tff(7372,plain,
% 5.02/5.21 (mult(mult(a, a), mult(a, b)) = mult(mult(mult(a, a), a), b)),
% 5.02/5.21 inference(symmetry,[status(thm)],[7344])).
% 5.02/5.21 tff(7373,plain,
% 5.02/5.21 (mult(mult(a, a), mult(a, b)) = mult(mult(a, mult(a, a)), b)),
% 5.02/5.21 inference(transitivity,[status(thm)],[7372, 7371])).
% 5.02/5.21 tff(7374,plain,
% 5.02/5.21 (mult(mult(mult(a, a), mult(a, b)), mult(b, c)) = mult(mult(mult(a, mult(a, a)), b), mult(b, c))),
% 5.02/5.21 inference(monotonicity,[status(thm)],[7373])).
% 5.02/5.21 tff(7375,plain,
% 5.02/5.21 (mult(mult(mult(a, mult(a, a)), b), mult(b, c)) = mult(mult(mult(a, a), mult(a, b)), mult(b, c))),
% 5.02/5.21 inference(symmetry,[status(thm)],[7374])).
% 5.02/5.21 tff(7376,plain,
% 5.02/5.21 (mult(mult(a, mult(a, a)), mult(mult(b, c), b)) = mult(mult(mult(a, mult(a, a)), b), mult(b, c))),
% 5.02/5.21 inference(symmetry,[status(thm)],[7351])).
% 5.02/5.21 tff(7377,plain,
% 5.02/5.21 (mult(mult(mult(a, mult(a, a)), b), c) = mult(mult(mult(mult(a, b), c), a), a)),
% 5.02/5.21 inference(transitivity,[status(thm)],[7347, 6055, 7340, 6090, 5637, 6087])).
% 5.02/5.21 tff(7378,plain,
% 5.02/5.21 (mult(mult(mult(mult(a, mult(a, a)), b), c), b) = mult(mult(mult(mult(mult(a, b), c), a), a), b)),
% 5.02/5.21 inference(monotonicity,[status(thm)],[7377])).
% 5.02/5.21 tff(7379,plain,
% 5.02/5.21 (mult(mult(mult(mult(mult(a, b), c), a), a), b) = mult(mult(mult(mult(a, mult(a, a)), b), c), b)),
% 5.02/5.21 inference(symmetry,[status(thm)],[7378])).
% 5.02/5.21 tff(7380,plain,
% 5.02/5.21 (mult(mult(mult(mult(a, b), c), a), a) = mult(mult(mult(a, b), mult(a, c)), a)),
% 5.02/5.21 inference(symmetry,[status(thm)],[5504])).
% 5.02/5.21 tff(7381,plain,
% 5.02/5.21 (mult(mult(mult(mult(a, b), c), a), a) = mult(mult(a, b), mult(a, mult(a, c)))),
% 5.02/5.21 inference(transitivity,[status(thm)],[7380, 6309])).
% 5.02/5.21 tff(7382,plain,
% 5.02/5.21 (mult(mult(mult(mult(mult(a, b), c), a), a), b) = mult(mult(mult(a, b), mult(a, mult(a, c))), b)),
% 5.02/5.21 inference(monotonicity,[status(thm)],[7381])).
% 5.02/5.21 tff(7383,plain,
% 5.02/5.21 (mult(mult(mult(a, b), mult(a, mult(a, c))), b) = mult(mult(mult(mult(mult(a, b), c), a), a), b)),
% 5.02/5.21 inference(symmetry,[status(thm)],[7382])).
% 5.02/5.21 tff(7384,plain,
% 5.02/5.21 (mult(a, mult(mult(a, mult(c, mult(a, b))), b)) = mult(a, mult(mult(b, mult(a, mult(a, c))), b))),
% 5.02/5.21 inference(symmetry,[status(thm)],[6242])).
% 5.02/5.21 tff(7385,plain,
% 5.02/5.21 (mult(mult(mult(mult(a, b), c), a), b) = mult(mult(mult(a, mult(c, b)), a), b)),
% 5.02/5.21 inference(symmetry,[status(thm)],[5299])).
% 5.02/5.21 tff(7386,plain,
% 5.02/5.21 (mult(mult(a, mult(c, mult(a, b))), b) = mult(mult(mult(a, mult(c, b)), a), b)),
% 5.02/5.21 inference(transitivity,[status(thm)],[6162, 7385])).
% 5.02/5.21 tff(7387,plain,
% 5.02/5.21 (mult(a, mult(mult(a, mult(c, mult(a, b))), b)) = mult(a, mult(mult(mult(a, mult(c, b)), a), b))),
% 5.02/5.21 inference(monotonicity,[status(thm)],[7386])).
% 5.02/5.21 tff(7388,plain,
% 5.02/5.21 (mult(a, mult(mult(mult(a, mult(c, b)), a), b)) = mult(a, mult(mult(a, mult(c, mult(a, b))), b))),
% 5.02/5.21 inference(symmetry,[status(thm)],[7387])).
% 5.02/5.21 tff(7389,plain,
% 5.02/5.21 (mult(mult(a, mult(a, a)), mult(mult(b, c), b)) = mult(a, mult(mult(mult(a, mult(c, b)), a), b))),
% 5.02/5.21 inference(transitivity,[status(thm)],[5822, 7378, 7382, 5335, 6242, 7387])).
% 5.02/5.21 tff(7390,plain,
% 5.02/5.21 (mult(mult(mult(a, mult(a, a)), mult(b, c)), b) = mult(mult(a, mult(mult(a, mult(c, b)), a)), b)),
% 5.02/5.21 inference(symmetry,[status(thm)],[6623])).
% 5.02/5.21 tff(7391,plain,
% 5.02/5.21 ((mult(mult(mult(a, mult(a, a)), mult(b, c)), b) = mult(mult(a, mult(a, a)), mult(mult(b, c), b))) <=> (mult(mult(a, mult(mult(a, mult(c, b)), a)), b) = mult(a, mult(mult(mult(a, mult(c, b)), a), b)))),
% 5.02/5.21 inference(monotonicity,[status(thm)],[7390, 7389])).
% 5.02/5.21 tff(7392,plain,
% 5.02/5.21 ((~(mult(mult(mult(a, mult(a, a)), mult(b, c)), b) = mult(mult(a, mult(a, a)), mult(mult(b, c), b)))) <=> (~(mult(mult(a, mult(mult(a, mult(c, b)), a)), b) = mult(a, mult(mult(mult(a, mult(c, b)), a), b))))),
% 5.02/5.21 inference(monotonicity,[status(thm)],[7391])).
% 5.02/5.21 tff(7393,plain,
% 5.02/5.21 (~(mult(mult(a, mult(mult(a, mult(c, b)), a)), b) = mult(a, mult(mult(mult(a, mult(c, b)), a), b)))),
% 5.02/5.21 inference(modus_ponens,[status(thm)],[7349, 7392])).
% 5.02/5.21 tff(7394,plain,
% 5.02/5.21 ((~(mult(mult(a, mult(mult(a, mult(c, b)), a)), b) = mult(a, mult(mult(mult(a, mult(c, b)), a), b)))) | (~(mult(mult(a, b), mult(mult(a, mult(c, b)), a)) = mult(a, mult(b, mult(mult(a, mult(c, b)), a)))))),
% 5.02/5.21 inference(unit_resolution,[status(thm)],[5955, 7393])).
% 5.02/5.21 tff(7395,plain,
% 5.02/5.21 (~((~(mult(mult(a, b), mult(mult(a, mult(c, b)), a)) = mult(a, mult(mult(mult(a, mult(c, b)), a), b)))) | (~(mult(mult(a, mult(mult(a, mult(c, b)), a)), b) = mult(a, mult(b, mult(mult(a, mult(c, b)), a))))))),
% 5.02/5.21 inference(unit_resolution,[status(thm)],[5963, 7394])).
% 5.02/5.21 tff(7396,plain,
% 5.02/5.21 (mult(mult(a, b), mult(mult(a, mult(c, b)), a)) = mult(a, mult(mult(mult(a, mult(c, b)), a), b))),
% 5.02/5.21 inference(unit_resolution,[status(thm)],[5965, 7395])).
% 5.02/5.21 tff(7397,plain,
% 5.02/5.21 (mult(mult(a, b), mult(a, mult(c, mult(a, b)))) = mult(mult(a, b), mult(mult(a, mult(c, b)), a))),
% 5.02/5.21 inference(symmetry,[status(thm)],[7211])).
% 5.02/5.21 tff(7398,plain,
% 5.02/5.21 (mult(a, mult(c, mult(a, b))) = mult(mult(mult(a, a), b), c)),
% 5.02/5.21 inference(transitivity,[status(thm)],[270, 5532])).
% 5.02/5.21 tff(7399,plain,
% 5.02/5.21 (mult(mult(a, b), mult(a, mult(c, mult(a, b)))) = mult(mult(a, b), mult(mult(mult(a, a), b), c))),
% 5.02/5.21 inference(monotonicity,[status(thm)],[7398])).
% 5.02/5.21 tff(7400,plain,
% 5.02/5.21 (mult(mult(a, b), mult(mult(mult(a, a), b), c)) = mult(mult(a, b), mult(a, mult(c, mult(a, b))))),
% 5.02/5.21 inference(symmetry,[status(thm)],[7399])).
% 5.02/5.21 tff(7401,plain,
% 5.02/5.21 ((mult(mult(a, b), mult(mult(a, mult(c, b)), a)) = mult(a, mult(mult(mult(a, mult(c, b)), a), b))) <=> (mult(mult(a, b), mult(a, mult(c, mult(a, b)))) = mult(a, mult(mult(a, mult(c, mult(a, b))), b)))),
% 5.02/5.21 inference(monotonicity,[status(thm)],[7211, 7388])).
% 5.02/5.21 tff(7402,plain,
% 5.02/5.21 (mult(mult(a, b), mult(a, mult(c, mult(a, b)))) = mult(a, mult(mult(a, mult(c, mult(a, b))), b))),
% 5.02/5.22 inference(modus_ponens,[status(thm)],[7396, 7401])).
% 5.02/5.22 tff(7403,plain,
% 5.02/5.22 (((~(mult(mult(mult(mult(b, c), a), mult(a, b)), a) = mult(mult(mult(b, c), a), mult(mult(a, b), a)))) | (~(mult(mult(mult(mult(b, c), a), a), mult(a, b)) = mult(mult(mult(b, c), a), mult(a, mult(a, b)))))) | (mult(mult(mult(mult(b, c), a), a), mult(a, b)) = mult(mult(mult(b, c), a), mult(a, mult(a, b))))),
% 5.02/5.22 inference(tautology,[status(thm)],[])).
% 5.02/5.22 tff(7404,plain,
% 5.02/5.22 (mult(mult(mult(mult(b, c), a), a), mult(a, b)) = mult(mult(mult(b, c), a), mult(a, mult(a, b)))),
% 5.02/5.22 inference(unit_resolution,[status(thm)],[7403, 7336])).
% 5.02/5.22 tff(7405,plain,
% 5.02/5.22 ((~![B: $i, A: $i] : (ld(A, mult(A, B)) = B)) | (ld(mult(a, b), mult(mult(a, b), mult(a, mult(c, mult(a, b))))) = mult(a, mult(c, mult(a, b))))),
% 5.02/5.22 inference(quant_inst,[status(thm)],[])).
% 5.02/5.22 tff(7406,plain,
% 5.02/5.22 (ld(mult(a, b), mult(mult(a, b), mult(a, mult(c, mult(a, b))))) = mult(a, mult(c, mult(a, b)))),
% 5.02/5.22 inference(unit_resolution,[status(thm)],[7405, 9])).
% 5.02/5.22 tff(7407,assumption,(mult(mult(a, b), mult(a, mult(c, mult(a, b)))) = mult(a, mult(mult(a, mult(c, mult(a, b))), b))), introduced(assumption)).
% 5.02/5.22 tff(7408,plain,
% 5.02/5.22 (mult(a, mult(mult(a, mult(c, mult(a, b))), b)) = mult(mult(a, b), mult(a, mult(c, mult(a, b))))),
% 5.02/5.22 inference(symmetry,[status(thm)],[7407])).
% 5.02/5.22 tff(7409,plain,
% 5.02/5.22 (mult(a, mult(a, mult(c, b))) = mult(a, mult(mult(b, c), a))),
% 5.02/5.22 inference(transitivity,[status(thm)],[111, 5111, 1106, 511, 510])).
% 5.02/5.22 tff(7410,plain,
% 5.02/5.22 (ld(a, mult(a, mult(a, mult(c, b)))) = ld(a, mult(a, mult(mult(b, c), a)))),
% 5.02/5.22 inference(monotonicity,[status(thm)],[7409])).
% 5.02/5.22 tff(7411,plain,
% 5.02/5.22 (ld(a, mult(a, mult(mult(b, c), a))) = ld(a, mult(a, mult(a, mult(c, b))))),
% 5.02/5.22 inference(symmetry,[status(thm)],[7410])).
% 5.02/5.22 tff(7412,plain,
% 5.02/5.22 (mult(mult(b, c), a) = mult(a, mult(c, b))),
% 5.02/5.22 inference(transitivity,[status(thm)],[5314, 7411, 802])).
% 5.02/5.22 tff(7413,plain,
% 5.02/5.22 (mult(mult(mult(b, c), a), a) = mult(mult(a, mult(c, b)), a)),
% 5.02/5.22 inference(monotonicity,[status(thm)],[7412])).
% 5.02/5.22 tff(7414,plain,
% 5.02/5.22 (mult(mult(mult(b, c), a), a) = mult(mult(mult(a, b), c), a)),
% 5.02/5.22 inference(transitivity,[status(thm)],[7413, 108])).
% 5.02/5.22 tff(7415,plain,
% 5.02/5.22 (mult(mult(mult(mult(b, c), a), a), b) = mult(mult(mult(mult(a, b), c), a), b)),
% 5.02/5.22 inference(monotonicity,[status(thm)],[7414])).
% 5.02/5.22 tff(7416,plain,
% 5.02/5.22 (mult(mult(mult(mult(mult(b, c), a), a), b), a) = mult(mult(mult(mult(mult(a, b), c), a), b), a)),
% 5.02/5.22 inference(monotonicity,[status(thm)],[7415])).
% 5.02/5.22 tff(7417,plain,
% 5.02/5.22 (mult(mult(mult(mult(b, c), a), mult(a, b)), a) = mult(mult(mult(mult(mult(a, b), c), a), b), a)),
% 5.02/5.22 inference(transitivity,[status(thm)],[6454, 6049, 7416])).
% 5.02/5.22 tff(7418,plain,
% 5.02/5.22 (rd(mult(mult(mult(mult(b, c), a), mult(a, b)), a), a) = rd(mult(mult(mult(mult(mult(a, b), c), a), b), a), a)),
% 5.02/5.22 inference(monotonicity,[status(thm)],[7417])).
% 5.02/5.22 tff(7419,plain,
% 5.02/5.22 (mult(mult(mult(b, c), a), mult(a, b)) = mult(mult(a, mult(c, mult(a, b))), b)),
% 5.02/5.22 inference(transitivity,[status(thm)],[6412, 7418, 6395, 6450])).
% 5.02/5.22 tff(7420,plain,
% 5.02/5.22 (mult(a, mult(mult(mult(b, c), a), mult(a, b))) = mult(a, mult(mult(a, mult(c, mult(a, b))), b))),
% 5.02/5.22 inference(monotonicity,[status(thm)],[7419])).
% 5.02/5.22 tff(7421,plain,
% 5.02/5.22 (mult(mult(a, b), c) = mult(mult(b, c), a)),
% 5.02/5.22 inference(transitivity,[status(thm)],[106, 803, 7410, 4716])).
% 5.02/5.22 tff(7422,plain,
% 5.02/5.22 (mult(mult(mult(a, b), c), mult(a, b)) = mult(mult(mult(b, c), a), mult(a, b))),
% 5.02/5.22 inference(monotonicity,[status(thm)],[7421])).
% 5.02/5.22 tff(7423,plain,
% 5.02/5.22 (mult(a, mult(mult(mult(a, b), c), mult(a, b))) = mult(a, mult(mult(mult(b, c), a), mult(a, b)))),
% 5.02/5.22 inference(monotonicity,[status(thm)],[7422])).
% 5.02/5.22 tff(7424,plain,
% 5.02/5.22 (mult(a, mult(c, mult(a, b))) = mult(mult(a, mult(a, b)), c)),
% 5.02/5.22 inference(symmetry,[status(thm)],[5117])).
% 5.02/5.22 tff(7425,plain,
% 5.02/5.22 (mult(mult(mult(a, b), c), a) = mult(mult(a, mult(a, b)), c)),
% 5.02/5.22 inference(transitivity,[status(thm)],[107, 707, 2197, 7424])).
% 5.02/5.22 tff(7426,plain,
% 5.02/5.22 (mult(mult(mult(mult(a, b), c), a), mult(a, b)) = mult(mult(mult(a, mult(a, b)), c), mult(a, b))),
% 5.02/5.22 inference(monotonicity,[status(thm)],[7425])).
% 5.02/5.22 tff(7427,plain,
% 5.02/5.22 (mult(mult(mult(mult(b, c), a), a), mult(a, b)) = mult(mult(mult(mult(a, b), c), a), mult(a, b))),
% 5.02/5.22 inference(monotonicity,[status(thm)],[7414])).
% 5.02/5.22 tff(7428,assumption,(mult(mult(mult(mult(b, c), a), a), mult(a, b)) = mult(mult(mult(b, c), a), mult(a, mult(a, b)))), introduced(assumption)).
% 5.02/5.22 tff(7429,plain,
% 5.02/5.22 (mult(mult(mult(b, c), a), mult(a, mult(a, b))) = mult(mult(mult(mult(b, c), a), a), mult(a, b))),
% 5.02/5.22 inference(symmetry,[status(thm)],[7428])).
% 5.02/5.22 tff(7430,plain,
% 5.02/5.22 (mult(mult(mult(a, b), c), mult(mult(a, a), b)) = mult(mult(mult(b, c), a), mult(a, mult(a, b)))),
% 5.02/5.22 inference(monotonicity,[status(thm)],[7421, 448])).
% 5.02/5.22 tff(7431,assumption,(mult(mult(mult(a, b), c), mult(mult(a, a), b)) = mult(mult(a, b), mult(c, mult(mult(a, a), b)))), introduced(assumption)).
% 5.02/5.22 tff(7432,plain,
% 5.02/5.22 (mult(mult(a, b), mult(c, mult(mult(a, a), b))) = mult(mult(mult(a, b), c), mult(mult(a, a), b))),
% 5.02/5.22 inference(symmetry,[status(thm)],[7431])).
% 5.02/5.22 tff(7433,plain,
% 5.02/5.22 (mult(c, mult(a, mult(a, b))) = mult(c, mult(mult(a, a), b))),
% 5.02/5.22 inference(symmetry,[status(thm)],[6347])).
% 5.02/5.22 tff(7434,plain,
% 5.02/5.22 (mult(a, mult(c, mult(a, b))) = mult(a, mult(mult(a, c), b))),
% 5.02/5.22 inference(transitivity,[status(thm)],[7424, 2630, 2629, 1154, 151])).
% 5.02/5.22 tff(7435,plain,
% 5.02/5.22 (ld(a, mult(a, mult(c, mult(a, b)))) = ld(a, mult(a, mult(mult(a, c), b)))),
% 5.02/5.22 inference(monotonicity,[status(thm)],[7434])).
% 5.02/5.22 tff(7436,plain,
% 5.02/5.22 (mult(c, mult(a, b)) = mult(mult(a, c), b)),
% 5.02/5.22 inference(transitivity,[status(thm)],[668, 7435, 2212])).
% 5.02/5.22 tff(7437,plain,
% 5.02/5.22 (mult(mult(c, mult(a, b)), a) = mult(mult(mult(a, c), b), a)),
% 5.02/5.22 inference(monotonicity,[status(thm)],[7436])).
% 5.02/5.22 tff(7438,plain,
% 5.02/5.22 (mult(mult(mult(a, c), b), a) = mult(mult(c, mult(a, b)), a)),
% 5.02/5.22 inference(symmetry,[status(thm)],[7437])).
% 5.02/5.22 tff(7439,plain,
% 5.02/5.22 (mult(mult(a, c), mult(a, b)) = mult(c, mult(mult(a, a), b))),
% 5.02/5.22 inference(transitivity,[status(thm)],[1106, 7438, 6056, 7433])).
% 5.02/5.22 tff(7440,plain,
% 5.02/5.22 (mult(mult(a, b), mult(mult(a, c), mult(a, b))) = mult(mult(a, b), mult(c, mult(mult(a, a), b)))),
% 5.02/5.22 inference(monotonicity,[status(thm)],[7439])).
% 5.02/5.22 tff(7441,plain,
% 5.02/5.22 (mult(mult(a, b), mult(mult(a, c), mult(a, b))) = mult(mult(a, b), mult(a, mult(c, mult(a, b))))),
% 5.02/5.22 inference(transitivity,[status(thm)],[7440, 7432, 7430, 7429, 7427, 7426, 6127, 7423, 7420, 7408])).
% 5.02/5.22 tff(7442,plain,
% 5.02/5.22 (ld(mult(a, b), mult(mult(a, b), mult(mult(a, c), mult(a, b)))) = ld(mult(a, b), mult(mult(a, b), mult(a, mult(c, mult(a, b)))))),
% 5.02/5.22 inference(monotonicity,[status(thm)],[7441])).
% 5.02/5.22 tff(7443,plain,
% 5.02/5.22 ((~![B: $i, A: $i] : (ld(A, mult(A, B)) = B)) | (ld(mult(a, b), mult(mult(a, b), mult(mult(a, c), mult(a, b)))) = mult(mult(a, c), mult(a, b)))),
% 5.02/5.22 inference(quant_inst,[status(thm)],[])).
% 5.02/5.22 tff(7444,plain,
% 5.02/5.22 (ld(mult(a, b), mult(mult(a, b), mult(mult(a, c), mult(a, b)))) = mult(mult(a, c), mult(a, b))),
% 5.02/5.22 inference(unit_resolution,[status(thm)],[7443, 9])).
% 5.02/5.22 tff(7445,plain,
% 5.02/5.22 (mult(mult(a, c), mult(a, b)) = ld(mult(a, b), mult(mult(a, b), mult(mult(a, c), mult(a, b))))),
% 5.02/5.22 inference(symmetry,[status(thm)],[7444])).
% 5.02/5.22 tff(7446,plain,
% 5.02/5.22 (mult(mult(a, c), mult(a, b)) = mult(a, mult(c, mult(a, b)))),
% 5.02/5.22 inference(transitivity,[status(thm)],[7445, 7442, 7406])).
% 5.02/5.22 tff(7447,plain,
% 5.02/5.22 ($false),
% 5.02/5.22 inference(unit_resolution,[status(thm)],[5107, 7446])).
% 5.02/5.22 tff(7448,plain,((~(mult(mult(mult(a, b), c), mult(mult(a, a), b)) = mult(mult(a, b), mult(c, mult(mult(a, a), b))))) | (mult(mult(a, c), mult(a, b)) = mult(a, mult(c, mult(a, b)))) | (~(mult(mult(mult(mult(b, c), a), a), mult(a, b)) = mult(mult(mult(b, c), a), mult(a, mult(a, b))))) | (~(mult(mult(a, b), mult(a, mult(c, mult(a, b)))) = mult(a, mult(mult(a, mult(c, mult(a, b))), b)))) | (~(mult(mult(a, mult(c, b)), a) = mult(a, mult(mult(c, b), a)))) | (~(mult(mult(c, b), a) = mult(c, mult(a, b)))) | (~(mult(mult(a, b), c) = mult(a, mult(c, b)))) | (~(mult(mult(mult(mult(b, c), a), mult(a, b)), a) = mult(mult(mult(b, c), a), mult(mult(a, b), a)))) | (~(mult(mult(a, mult(b, c)), a) = mult(a, mult(mult(b, c), a)))) | (~(mult(mult(mult(a, c), b), a) = mult(mult(a, c), mult(a, b)))) | (~(mult(mult(a, c), b) = mult(a, mult(b, c)))) | (~(mult(mult(a, a), b) = mult(a, mult(a, b)))) | (~(mult(mult(c, mult(a, b)), a) = mult(c, mult(a, mult(a, b))))) | (~(mult(mult(a, a), mult(b, c)) = mult(a, mult(a, mult(b, c))))) | (~(mult(mult(mult(a, a), b), c) = mult(mult(a, a), mult(b, c))))), inference(lemma,lemma(discharge,[]))).
% 5.02/5.22 tff(7449,plain,
% 5.02/5.22 ((~(mult(mult(mult(a, b), c), mult(mult(a, a), b)) = mult(mult(a, b), mult(c, mult(mult(a, a), b))))) | (mult(mult(a, c), mult(a, b)) = mult(a, mult(c, mult(a, b)))) | (~(mult(mult(mult(mult(b, c), a), a), mult(a, b)) = mult(mult(mult(b, c), a), mult(a, mult(a, b))))) | (~(mult(mult(a, b), mult(a, mult(c, mult(a, b)))) = mult(a, mult(mult(a, mult(c, mult(a, b))), b)))) | (~(mult(mult(a, mult(c, b)), a) = mult(a, mult(mult(c, b), a)))) | (~(mult(mult(c, b), a) = mult(c, mult(a, b)))) | (~(mult(mult(a, b), c) = mult(a, mult(c, b)))) | (~(mult(mult(mult(mult(b, c), a), mult(a, b)), a) = mult(mult(mult(b, c), a), mult(mult(a, b), a)))) | (~(mult(mult(a, mult(b, c)), a) = mult(a, mult(mult(b, c), a)))) | (~(mult(mult(mult(a, c), b), a) = mult(mult(a, c), mult(a, b)))) | (~(mult(mult(a, c), b) = mult(a, mult(b, c)))) | (~(mult(mult(c, mult(a, b)), a) = mult(c, mult(a, mult(a, b))))) | (~(mult(mult(a, a), mult(b, c)) = mult(a, mult(a, mult(b, c))))) | (~(mult(mult(mult(a, a), b), c) = mult(mult(a, a), mult(b, c))))),
% 5.02/5.22 inference(unit_resolution,[status(thm)],[7448, 4190])).
% 5.02/5.22 tff(7450,plain,
% 5.02/5.22 (~(mult(mult(mult(a, b), c), mult(mult(a, a), b)) = mult(mult(a, b), mult(c, mult(mult(a, a), b))))),
% 5.02/5.22 inference(unit_resolution,[status(thm)],[7449, 7404, 6326, 7402, 707, 1110, 91, 7337, 6038, 594, 97, 6056, 6066, 6095])).
% 5.02/5.22 tff(7451,plain,
% 5.02/5.22 (((~(mult(mult(mult(a, b), c), mult(mult(a, a), b)) = mult(mult(a, b), mult(c, mult(mult(a, a), b))))) | (~(mult(mult(mult(a, b), mult(mult(a, a), b)), c) = mult(mult(a, b), mult(mult(mult(a, a), b), c))))) | (mult(mult(mult(a, b), c), mult(mult(a, a), b)) = mult(mult(a, b), mult(c, mult(mult(a, a), b))))),
% 5.02/5.22 inference(tautology,[status(thm)],[])).
% 5.02/5.22 tff(7452,plain,
% 5.02/5.22 ((~(mult(mult(mult(a, b), c), mult(mult(a, a), b)) = mult(mult(a, b), mult(c, mult(mult(a, a), b))))) | (~(mult(mult(mult(a, b), mult(mult(a, a), b)), c) = mult(mult(a, b), mult(mult(mult(a, a), b), c))))),
% 5.02/5.22 inference(unit_resolution,[status(thm)],[7451, 7450])).
% 5.02/5.22 tff(7453,plain,
% 5.02/5.22 (((~![X0: $i, X1: $i, X2: $i] : ((~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X2, X1)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X1, X2)))))) | (~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X1, X2)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X2, X1)))))))) | ((~((~(mult(mult(mult(a, b), c), mult(mult(a, a), b)) = mult(mult(a, b), mult(c, mult(mult(a, a), b))))) | (~(mult(mult(mult(a, b), mult(mult(a, a), b)), c) = mult(mult(a, b), mult(mult(mult(a, a), b), c)))))) | (~((~(mult(mult(mult(a, b), mult(mult(a, a), b)), c) = mult(mult(a, b), mult(c, mult(mult(a, a), b))))) | (~(mult(mult(mult(a, b), c), mult(mult(a, a), b)) = mult(mult(a, b), mult(mult(mult(a, a), b), c)))))))) <=> ((~![X0: $i, X1: $i, X2: $i] : ((~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X2, X1)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X1, X2)))))) | (~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X1, X2)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X2, X1)))))))) | (~((~(mult(mult(mult(a, b), c), mult(mult(a, a), b)) = mult(mult(a, b), mult(c, mult(mult(a, a), b))))) | (~(mult(mult(mult(a, b), mult(mult(a, a), b)), c) = mult(mult(a, b), mult(mult(mult(a, a), b), c)))))) | (~((~(mult(mult(mult(a, b), mult(mult(a, a), b)), c) = mult(mult(a, b), mult(c, mult(mult(a, a), b))))) | (~(mult(mult(mult(a, b), c), mult(mult(a, a), b)) = mult(mult(a, b), mult(mult(mult(a, a), b), c)))))))),
% 5.02/5.22 inference(rewrite,[status(thm)],[])).
% 5.02/5.22 tff(7454,plain,
% 5.02/5.22 (((~((~(mult(mult(mult(a, b), mult(mult(a, a), b)), c) = mult(mult(a, b), mult(c, mult(mult(a, a), b))))) | (~(mult(mult(mult(a, b), c), mult(mult(a, a), b)) = mult(mult(a, b), mult(mult(mult(a, a), b), c)))))) | (~((~(mult(mult(mult(a, b), c), mult(mult(a, a), b)) = mult(mult(a, b), mult(c, mult(mult(a, a), b))))) | (~(mult(mult(mult(a, b), mult(mult(a, a), b)), c) = mult(mult(a, b), mult(mult(mult(a, a), b), c))))))) <=> ((~((~(mult(mult(mult(a, b), c), mult(mult(a, a), b)) = mult(mult(a, b), mult(c, mult(mult(a, a), b))))) | (~(mult(mult(mult(a, b), mult(mult(a, a), b)), c) = mult(mult(a, b), mult(mult(mult(a, a), b), c)))))) | (~((~(mult(mult(mult(a, b), mult(mult(a, a), b)), c) = mult(mult(a, b), mult(c, mult(mult(a, a), b))))) | (~(mult(mult(mult(a, b), c), mult(mult(a, a), b)) = mult(mult(a, b), mult(mult(mult(a, a), b), c)))))))),
% 5.02/5.23 inference(rewrite,[status(thm)],[])).
% 5.02/5.23 tff(7455,plain,
% 5.02/5.23 ((~((~(mult(mult(mult(a, b), mult(mult(a, a), b)), c) = mult(mult(a, b), mult(mult(mult(a, a), b), c)))) | (~(mult(mult(mult(a, b), c), mult(mult(a, a), b)) = mult(mult(a, b), mult(c, mult(mult(a, a), b))))))) <=> (~((~(mult(mult(mult(a, b), c), mult(mult(a, a), b)) = mult(mult(a, b), mult(c, mult(mult(a, a), b))))) | (~(mult(mult(mult(a, b), mult(mult(a, a), b)), c) = mult(mult(a, b), mult(mult(mult(a, a), b), c))))))),
% 5.02/5.23 inference(rewrite,[status(thm)],[])).
% 5.02/5.23 tff(7456,plain,
% 5.02/5.23 ((~((~(mult(mult(mult(a, b), mult(mult(a, a), b)), c) = mult(mult(a, b), mult(c, mult(mult(a, a), b))))) | (~(mult(mult(mult(a, b), c), mult(mult(a, a), b)) = mult(mult(a, b), mult(mult(mult(a, a), b), c)))))) <=> (~((~(mult(mult(mult(a, b), mult(mult(a, a), b)), c) = mult(mult(a, b), mult(c, mult(mult(a, a), b))))) | (~(mult(mult(mult(a, b), c), mult(mult(a, a), b)) = mult(mult(a, b), mult(mult(mult(a, a), b), c))))))),
% 5.02/5.23 inference(rewrite,[status(thm)],[])).
% 5.02/5.23 tff(7457,plain,
% 5.02/5.23 (((~((~(mult(mult(mult(a, b), mult(mult(a, a), b)), c) = mult(mult(a, b), mult(c, mult(mult(a, a), b))))) | (~(mult(mult(mult(a, b), c), mult(mult(a, a), b)) = mult(mult(a, b), mult(mult(mult(a, a), b), c)))))) | (~((~(mult(mult(mult(a, b), mult(mult(a, a), b)), c) = mult(mult(a, b), mult(mult(mult(a, a), b), c)))) | (~(mult(mult(mult(a, b), c), mult(mult(a, a), b)) = mult(mult(a, b), mult(c, mult(mult(a, a), b)))))))) <=> ((~((~(mult(mult(mult(a, b), mult(mult(a, a), b)), c) = mult(mult(a, b), mult(c, mult(mult(a, a), b))))) | (~(mult(mult(mult(a, b), c), mult(mult(a, a), b)) = mult(mult(a, b), mult(mult(mult(a, a), b), c)))))) | (~((~(mult(mult(mult(a, b), c), mult(mult(a, a), b)) = mult(mult(a, b), mult(c, mult(mult(a, a), b))))) | (~(mult(mult(mult(a, b), mult(mult(a, a), b)), c) = mult(mult(a, b), mult(mult(mult(a, a), b), c)))))))),
% 5.02/5.23 inference(monotonicity,[status(thm)],[7456, 7455])).
% 5.02/5.23 tff(7458,plain,
% 5.02/5.23 (((~((~(mult(mult(mult(a, b), mult(mult(a, a), b)), c) = mult(mult(a, b), mult(c, mult(mult(a, a), b))))) | (~(mult(mult(mult(a, b), c), mult(mult(a, a), b)) = mult(mult(a, b), mult(mult(mult(a, a), b), c)))))) | (~((~(mult(mult(mult(a, b), mult(mult(a, a), b)), c) = mult(mult(a, b), mult(mult(mult(a, a), b), c)))) | (~(mult(mult(mult(a, b), c), mult(mult(a, a), b)) = mult(mult(a, b), mult(c, mult(mult(a, a), b)))))))) <=> ((~((~(mult(mult(mult(a, b), c), mult(mult(a, a), b)) = mult(mult(a, b), mult(c, mult(mult(a, a), b))))) | (~(mult(mult(mult(a, b), mult(mult(a, a), b)), c) = mult(mult(a, b), mult(mult(mult(a, a), b), c)))))) | (~((~(mult(mult(mult(a, b), mult(mult(a, a), b)), c) = mult(mult(a, b), mult(c, mult(mult(a, a), b))))) | (~(mult(mult(mult(a, b), c), mult(mult(a, a), b)) = mult(mult(a, b), mult(mult(mult(a, a), b), c)))))))),
% 5.02/5.23 inference(transitivity,[status(thm)],[7457, 7454])).
% 5.02/5.23 tff(7459,plain,
% 5.02/5.23 (((~![X0: $i, X1: $i, X2: $i] : ((~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X2, X1)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X1, X2)))))) | (~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X1, X2)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X2, X1)))))))) | ((~((~(mult(mult(mult(a, b), mult(mult(a, a), b)), c) = mult(mult(a, b), mult(c, mult(mult(a, a), b))))) | (~(mult(mult(mult(a, b), c), mult(mult(a, a), b)) = mult(mult(a, b), mult(mult(mult(a, a), b), c)))))) | (~((~(mult(mult(mult(a, b), mult(mult(a, a), b)), c) = mult(mult(a, b), mult(mult(mult(a, a), b), c)))) | (~(mult(mult(mult(a, b), c), mult(mult(a, a), b)) = mult(mult(a, b), mult(c, mult(mult(a, a), b))))))))) <=> ((~![X0: $i, X1: $i, X2: $i] : ((~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X2, X1)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X1, X2)))))) | (~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X1, X2)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X2, X1)))))))) | ((~((~(mult(mult(mult(a, b), c), mult(mult(a, a), b)) = mult(mult(a, b), mult(c, mult(mult(a, a), b))))) | (~(mult(mult(mult(a, b), mult(mult(a, a), b)), c) = mult(mult(a, b), mult(mult(mult(a, a), b), c)))))) | (~((~(mult(mult(mult(a, b), mult(mult(a, a), b)), c) = mult(mult(a, b), mult(c, mult(mult(a, a), b))))) | (~(mult(mult(mult(a, b), c), mult(mult(a, a), b)) = mult(mult(a, b), mult(mult(mult(a, a), b), c))))))))),
% 5.02/5.23 inference(monotonicity,[status(thm)],[7458])).
% 5.02/5.23 tff(7460,plain,
% 5.02/5.23 (((~![X0: $i, X1: $i, X2: $i] : ((~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X2, X1)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X1, X2)))))) | (~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X1, X2)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X2, X1)))))))) | ((~((~(mult(mult(mult(a, b), mult(mult(a, a), b)), c) = mult(mult(a, b), mult(c, mult(mult(a, a), b))))) | (~(mult(mult(mult(a, b), c), mult(mult(a, a), b)) = mult(mult(a, b), mult(mult(mult(a, a), b), c)))))) | (~((~(mult(mult(mult(a, b), mult(mult(a, a), b)), c) = mult(mult(a, b), mult(mult(mult(a, a), b), c)))) | (~(mult(mult(mult(a, b), c), mult(mult(a, a), b)) = mult(mult(a, b), mult(c, mult(mult(a, a), b))))))))) <=> ((~![X0: $i, X1: $i, X2: $i] : ((~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X2, X1)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X1, X2)))))) | (~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X1, X2)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X2, X1)))))))) | (~((~(mult(mult(mult(a, b), c), mult(mult(a, a), b)) = mult(mult(a, b), mult(c, mult(mult(a, a), b))))) | (~(mult(mult(mult(a, b), mult(mult(a, a), b)), c) = mult(mult(a, b), mult(mult(mult(a, a), b), c)))))) | (~((~(mult(mult(mult(a, b), mult(mult(a, a), b)), c) = mult(mult(a, b), mult(c, mult(mult(a, a), b))))) | (~(mult(mult(mult(a, b), c), mult(mult(a, a), b)) = mult(mult(a, b), mult(mult(mult(a, a), b), c)))))))),
% 5.02/5.23 inference(transitivity,[status(thm)],[7459, 7453])).
% 5.02/5.23 tff(7461,plain,
% 5.02/5.23 ((~![X0: $i, X1: $i, X2: $i] : ((~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X2, X1)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X1, X2)))))) | (~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X1, X2)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X2, X1)))))))) | ((~((~(mult(mult(mult(a, b), mult(mult(a, a), b)), c) = mult(mult(a, b), mult(c, mult(mult(a, a), b))))) | (~(mult(mult(mult(a, b), c), mult(mult(a, a), b)) = mult(mult(a, b), mult(mult(mult(a, a), b), c)))))) | (~((~(mult(mult(mult(a, b), mult(mult(a, a), b)), c) = mult(mult(a, b), mult(mult(mult(a, a), b), c)))) | (~(mult(mult(mult(a, b), c), mult(mult(a, a), b)) = mult(mult(a, b), mult(c, mult(mult(a, a), b))))))))),
% 5.02/5.23 inference(quant_inst,[status(thm)],[])).
% 5.02/5.23 tff(7462,plain,
% 5.02/5.23 ((~![X0: $i, X1: $i, X2: $i] : ((~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X2, X1)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X1, X2)))))) | (~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X1, X2)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X2, X1)))))))) | (~((~(mult(mult(mult(a, b), c), mult(mult(a, a), b)) = mult(mult(a, b), mult(c, mult(mult(a, a), b))))) | (~(mult(mult(mult(a, b), mult(mult(a, a), b)), c) = mult(mult(a, b), mult(mult(mult(a, a), b), c)))))) | (~((~(mult(mult(mult(a, b), mult(mult(a, a), b)), c) = mult(mult(a, b), mult(c, mult(mult(a, a), b))))) | (~(mult(mult(mult(a, b), c), mult(mult(a, a), b)) = mult(mult(a, b), mult(mult(mult(a, a), b), c))))))),
% 5.02/5.23 inference(modus_ponens,[status(thm)],[7461, 7460])).
% 5.02/5.23 tff(7463,plain,
% 5.02/5.23 ((~((~(mult(mult(mult(a, b), c), mult(mult(a, a), b)) = mult(mult(a, b), mult(c, mult(mult(a, a), b))))) | (~(mult(mult(mult(a, b), mult(mult(a, a), b)), c) = mult(mult(a, b), mult(mult(mult(a, a), b), c)))))) | (~((~(mult(mult(mult(a, b), mult(mult(a, a), b)), c) = mult(mult(a, b), mult(c, mult(mult(a, a), b))))) | (~(mult(mult(mult(a, b), c), mult(mult(a, a), b)) = mult(mult(a, b), mult(mult(mult(a, a), b), c))))))),
% 5.02/5.23 inference(unit_resolution,[status(thm)],[7462, 30])).
% 5.02/5.23 tff(7464,plain,
% 5.02/5.23 (~((~(mult(mult(mult(a, b), mult(mult(a, a), b)), c) = mult(mult(a, b), mult(c, mult(mult(a, a), b))))) | (~(mult(mult(mult(a, b), c), mult(mult(a, a), b)) = mult(mult(a, b), mult(mult(mult(a, a), b), c)))))),
% 5.02/5.23 inference(unit_resolution,[status(thm)],[7463, 7452])).
% 5.02/5.23 tff(7465,plain,
% 5.02/5.23 (((~(mult(mult(mult(a, b), mult(mult(a, a), b)), c) = mult(mult(a, b), mult(c, mult(mult(a, a), b))))) | (~(mult(mult(mult(a, b), c), mult(mult(a, a), b)) = mult(mult(a, b), mult(mult(mult(a, a), b), c))))) | (mult(mult(mult(a, b), c), mult(mult(a, a), b)) = mult(mult(a, b), mult(mult(mult(a, a), b), c)))),
% 5.02/5.23 inference(tautology,[status(thm)],[])).
% 5.02/5.23 tff(7466,plain,
% 5.02/5.23 (mult(mult(mult(a, b), c), mult(mult(a, a), b)) = mult(mult(a, b), mult(mult(mult(a, a), b), c))),
% 5.02/5.23 inference(unit_resolution,[status(thm)],[7465, 7464])).
% 5.02/5.23 tff(7467,plain,
% 5.02/5.23 (mult(mult(mult(a, b), c), mult(mult(a, a), b)) = mult(mult(mult(b, c), a), mult(a, mult(a, b)))),
% 5.02/5.23 inference(monotonicity,[status(thm)],[6129, 4190])).
% 5.02/5.23 tff(7468,plain,
% 5.02/5.23 (mult(mult(mult(b, c), a), mult(a, mult(a, b))) = mult(mult(mult(a, b), c), mult(mult(a, a), b))),
% 5.02/5.23 inference(symmetry,[status(thm)],[7467])).
% 5.02/5.23 tff(7469,plain,
% 5.02/5.23 (mult(mult(a, mult(c, b)), a) = mult(mult(mult(b, c), a), a)),
% 5.02/5.23 inference(symmetry,[status(thm)],[6043])).
% 5.02/5.23 tff(7470,plain,
% 5.02/5.23 (mult(mult(mult(a, b), c), a) = mult(mult(mult(b, c), a), a)),
% 5.02/5.23 inference(transitivity,[status(thm)],[608, 7469])).
% 5.02/5.23 tff(7471,plain,
% 5.02/5.23 (mult(mult(mult(mult(a, b), c), a), mult(a, b)) = mult(mult(mult(mult(b, c), a), a), mult(a, b))),
% 5.02/5.23 inference(monotonicity,[status(thm)],[7470])).
% 5.02/5.23 tff(7472,plain,
% 5.02/5.23 (mult(a, mult(mult(a, c), b)) = mult(mult(a, b), mult(a, c))),
% 5.02/5.23 inference(symmetry,[status(thm)],[6084])).
% 5.02/5.23 tff(7473,plain,
% 5.02/5.23 (mult(mult(a, a), mult(b, c)) = mult(mult(mult(a, b), c), a)),
% 5.02/5.23 inference(transitivity,[status(thm)],[6066, 5686, 7472, 403])).
% 5.02/5.23 tff(7474,plain,
% 5.02/5.23 (mult(mult(mult(a, a), mult(b, c)), mult(a, b)) = mult(mult(mult(mult(a, b), c), a), mult(a, b))),
% 5.02/5.23 inference(monotonicity,[status(thm)],[7473])).
% 5.02/5.23 tff(7475,plain,
% 5.02/5.23 (mult(mult(mult(a, a), mult(b, c)), mult(a, b)) = mult(mult(a, a), mult(mult(a, b), mult(b, c)))),
% 5.02/5.23 inference(transitivity,[status(thm)],[7474, 7471, 7404, 7468, 7466, 7400, 7397, 7396, 7388, 7384, 5972, 7383, 7379, 5821, 7376, 7375, 7370])).
% 5.02/5.23 tff(7476,plain,
% 5.02/5.23 ($false),
% 5.02/5.23 inference(unit_resolution,[status(thm)],[7357, 7475])).
% 5.02/5.23 tff(7477,plain,(((~(mult(mult(mult(mult(b, c), a), mult(a, b)), a) = mult(mult(mult(b, c), a), mult(mult(a, b), a)))) | (~(mult(mult(mult(mult(b, c), a), a), mult(a, b)) = mult(mult(mult(b, c), a), mult(a, mult(a, b)))))) | (~(mult(mult(a, c), mult(a, b)) = mult(a, mult(mult(a, b), c)))) | (~(mult(mult(mult(a, c), b), a) = mult(mult(a, c), mult(a, b)))) | (~(mult(mult(mult(a, b), c), a) = mult(mult(a, b), mult(a, c)))) | (~(mult(mult(a, mult(a, b)), c) = mult(a, mult(c, mult(a, b))))) | (~(mult(mult(a, mult(c, b)), a) = mult(a, mult(mult(c, b), a)))) | (~(mult(mult(c, b), a) = mult(c, mult(a, b)))) | (~(mult(mult(mult(a, b), mult(a, c)), a) = mult(mult(a, b), mult(a, mult(a, c))))) | (~(mult(mult(a, mult(mult(a, a), b)), c) = mult(a, mult(c, mult(mult(a, a), b))))) | (~(mult(mult(c, mult(a, b)), a) = mult(c, mult(a, mult(a, b))))) | (~(mult(mult(mult(a, a), a), b) = mult(mult(a, a), mult(a, b)))) | (~(mult(mult(mult(a, a), mult(a, b)), c) = mult(mult(a, a), mult(mult(a, b), c)))) | (~(mult(mult(mult(mult(a, a), b), c), a) = mult(mult(mult(a, a), b), mult(a, c)))) | (mult(mult(a, c), b) = mult(a, mult(c, b)))), inference(lemma,lemma(discharge,[]))).
% 5.02/5.23 tff(7478,plain,
% 5.02/5.23 ((~(mult(mult(mult(mult(b, c), a), mult(a, b)), a) = mult(mult(mult(b, c), a), mult(mult(a, b), a)))) | (~(mult(mult(mult(mult(b, c), a), a), mult(a, b)) = mult(mult(mult(b, c), a), mult(a, mult(a, b)))))),
% 5.02/5.23 inference(unit_resolution,[status(thm)],[7477, 7335, 971, 5305, 4709, 4821, 5290, 6004, 6033, 7316, 5680, 7306, 4654, 41])).
% 5.02/5.23 tff(7479,assumption,((~(mult(mult(mult(mult(b, c), a), mult(a, b)), a) = mult(mult(mult(b, c), a), mult(mult(a, b), a)))) | (~(mult(mult(mult(mult(b, c), a), a), mult(a, b)) = mult(mult(mult(b, c), a), mult(a, mult(a, b)))))), introduced(assumption)).
% 5.02/5.23 tff(7480,plain,
% 5.02/5.23 (~((~(mult(mult(mult(mult(b, c), a), mult(a, b)), a) = mult(mult(mult(b, c), a), mult(a, mult(a, b))))) | (~(mult(mult(mult(mult(b, c), a), a), mult(a, b)) = mult(mult(mult(b, c), a), mult(mult(a, b), a)))))),
% 5.02/5.23 inference(unit_resolution,[status(thm)],[6407, 7479])).
% 5.02/5.23 tff(7481,plain,
% 5.02/5.23 (((~(mult(mult(mult(mult(b, c), a), mult(a, b)), a) = mult(mult(mult(b, c), a), mult(a, mult(a, b))))) | (~(mult(mult(mult(mult(b, c), a), a), mult(a, b)) = mult(mult(mult(b, c), a), mult(mult(a, b), a))))) | (mult(mult(mult(mult(b, c), a), mult(a, b)), a) = mult(mult(mult(b, c), a), mult(a, mult(a, b))))),
% 5.02/5.23 inference(tautology,[status(thm)],[])).
% 5.02/5.23 tff(7482,plain,
% 5.02/5.23 (mult(mult(mult(mult(b, c), a), mult(a, b)), a) = mult(mult(mult(b, c), a), mult(a, mult(a, b)))),
% 5.02/5.23 inference(unit_resolution,[status(thm)],[7481, 7480])).
% 5.02/5.23 tff(7483,plain,
% 5.02/5.23 ((mult(mult(mult(mult(b, c), a), mult(a, b)), a) = mult(mult(mult(b, c), a), mult(mult(a, b), a))) <=> (mult(mult(mult(b, c), a), mult(a, mult(a, b))) = mult(mult(mult(mult(b, c), a), a), mult(a, b)))),
% 5.02/5.23 inference(monotonicity,[status(thm)],[7482, 6874])).
% 5.02/5.23 tff(7484,plain,
% 5.02/5.23 ((mult(mult(mult(mult(b, c), a), mult(a, b)), a) = mult(mult(mult(b, c), a), mult(mult(a, b), a))) <=> (mult(mult(mult(mult(b, c), a), a), mult(a, b)) = mult(mult(mult(b, c), a), mult(a, mult(a, b))))),
% 5.02/5.23 inference(transitivity,[status(thm)],[7483, 7237])).
% 5.02/5.23 tff(7485,plain,
% 5.02/5.23 ((~(mult(mult(mult(mult(b, c), a), mult(a, b)), a) = mult(mult(mult(b, c), a), mult(mult(a, b), a)))) <=> (~(mult(mult(mult(mult(b, c), a), a), mult(a, b)) = mult(mult(mult(b, c), a), mult(a, mult(a, b)))))),
% 5.02/5.23 inference(monotonicity,[status(thm)],[7484])).
% 5.02/5.23 tff(7486,plain,
% 5.02/5.23 ((~((~(mult(mult(mult(mult(b, c), a), mult(a, b)), a) = mult(mult(mult(b, c), a), mult(mult(a, b), a)))) | (~(mult(mult(mult(mult(b, c), a), a), mult(a, b)) = mult(mult(mult(b, c), a), mult(a, mult(a, b))))))) | (~(mult(mult(mult(mult(b, c), a), mult(a, b)), a) = mult(mult(mult(b, c), a), mult(mult(a, b), a)))) | (~(mult(mult(mult(mult(b, c), a), a), mult(a, b)) = mult(mult(mult(b, c), a), mult(a, mult(a, b)))))),
% 5.02/5.23 inference(tautology,[status(thm)],[])).
% 5.02/5.23 tff(7487,plain,
% 5.02/5.23 (~(mult(mult(mult(mult(b, c), a), mult(a, b)), a) = mult(mult(mult(b, c), a), mult(mult(a, b), a)))),
% 5.02/5.23 inference(unit_resolution,[status(thm)],[7486, 7428, 7479])).
% 5.02/5.23 tff(7488,plain,
% 5.02/5.23 (~(mult(mult(mult(mult(b, c), a), a), mult(a, b)) = mult(mult(mult(b, c), a), mult(a, mult(a, b))))),
% 5.02/5.23 inference(modus_ponens,[status(thm)],[7487, 7485])).
% 5.02/5.23 tff(7489,plain,
% 5.02/5.23 ($false),
% 5.02/5.23 inference(unit_resolution,[status(thm)],[7428, 7488])).
% 5.02/5.23 tff(7490,plain,((~(mult(mult(mult(mult(b, c), a), a), mult(a, b)) = mult(mult(mult(b, c), a), mult(a, mult(a, b))))) | (~(mult(mult(mult(mult(b, c), a), a), mult(a, b)) = mult(mult(mult(b, c), a), mult(mult(a, b), a)))) | (~((~(mult(mult(mult(mult(b, c), a), mult(a, b)), a) = mult(mult(mult(b, c), a), mult(mult(a, b), a)))) | (~(mult(mult(mult(mult(b, c), a), a), mult(a, b)) = mult(mult(mult(b, c), a), mult(a, mult(a, b)))))))), inference(lemma,lemma(discharge,[]))).
% 5.02/5.23 tff(7491,plain,
% 5.02/5.23 (~(mult(mult(mult(mult(b, c), a), a), mult(a, b)) = mult(mult(mult(b, c), a), mult(a, mult(a, b))))),
% 5.02/5.23 inference(unit_resolution,[status(thm)],[7490, 7478, 6658])).
% 5.02/5.23 tff(7492,plain,
% 5.02/5.23 (~(mult(mult(mult(a, b), c), mult(mult(a, a), b)) = mult(mult(a, b), mult(c, mult(mult(a, a), b))))),
% 5.02/5.23 inference(modus_ponens,[status(thm)],[7491, 7256])).
% 5.02/5.23 tff(7493,plain,
% 5.02/5.23 ((~(mult(mult(mult(a, b), c), mult(mult(a, a), b)) = mult(mult(a, b), mult(c, mult(mult(a, a), b))))) | (~(mult(mult(mult(a, b), mult(mult(a, a), b)), c) = mult(mult(a, b), mult(mult(mult(a, a), b), c))))),
% 5.02/5.23 inference(unit_resolution,[status(thm)],[7451, 7492])).
% 5.02/5.24 tff(7494,plain,
% 5.02/5.24 (~((~(mult(mult(mult(a, b), mult(mult(a, a), b)), c) = mult(mult(a, b), mult(c, mult(mult(a, a), b))))) | (~(mult(mult(mult(a, b), c), mult(mult(a, a), b)) = mult(mult(a, b), mult(mult(mult(a, a), b), c)))))),
% 5.02/5.24 inference(unit_resolution,[status(thm)],[7463, 7493])).
% 5.02/5.24 tff(7495,plain,
% 5.02/5.24 (mult(mult(mult(a, b), c), mult(mult(a, a), b)) = mult(mult(a, b), mult(mult(mult(a, a), b), c))),
% 5.02/5.24 inference(unit_resolution,[status(thm)],[7465, 7494])).
% 5.02/5.24 tff(7496,plain,
% 5.02/5.24 (mult(mult(a, b), mult(mult(mult(a, a), b), c)) = mult(mult(mult(a, b), c), mult(mult(a, a), b))),
% 5.02/5.24 inference(symmetry,[status(thm)],[7495])).
% 5.02/5.24 tff(7497,plain,
% 5.02/5.24 (mult(mult(mult(a, a), b), c) = mult(a, mult(c, mult(a, b)))),
% 5.02/5.24 inference(transitivity,[status(thm)],[5347, 4709])).
% 5.02/5.24 tff(7498,plain,
% 5.02/5.24 (mult(mult(a, b), mult(mult(mult(a, a), b), c)) = mult(mult(a, b), mult(a, mult(c, mult(a, b))))),
% 5.02/5.24 inference(monotonicity,[status(thm)],[7497])).
% 5.02/5.24 tff(7499,plain,
% 5.02/5.24 (mult(mult(a, b), mult(a, mult(c, mult(a, b)))) = mult(mult(a, b), mult(mult(mult(a, a), b), c))),
% 5.02/5.24 inference(symmetry,[status(thm)],[7498])).
% 5.02/5.24 tff(7500,plain,
% 5.02/5.24 (mult(mult(a, b), mult(mult(a, mult(c, b)), a)) = mult(mult(a, b), mult(a, mult(c, mult(a, b))))),
% 5.02/5.24 inference(symmetry,[status(thm)],[5974])).
% 5.02/5.24 tff(7501,plain,
% 5.02/5.24 (mult(mult(mult(b, c), a), a) = mult(mult(mult(a, b), c), a)),
% 5.02/5.24 inference(transitivity,[status(thm)],[5316, 609])).
% 5.02/5.24 tff(7502,plain,
% 5.02/5.24 (mult(mult(mult(mult(b, c), a), a), mult(b, a)) = mult(mult(mult(mult(a, b), c), a), mult(b, a))),
% 5.02/5.24 inference(monotonicity,[status(thm)],[7501])).
% 5.02/5.24 tff(7503,plain,
% 5.02/5.24 ((mult(mult(mult(mult(a, b), c), a), mult(b, a)) = mult(mult(mult(mult(mult(a, b), c), a), b), a)) <=> (mult(mult(mult(mult(mult(a, b), c), a), b), a) = mult(mult(mult(mult(a, b), c), a), mult(b, a)))),
% 5.02/5.24 inference(commutativity,[status(thm)],[])).
% 5.02/5.24 tff(7504,plain,
% 5.02/5.24 (mult(mult(mult(mult(b, c), a), a), b) = mult(mult(mult(mult(a, b), c), a), b)),
% 5.02/5.24 inference(monotonicity,[status(thm)],[7501])).
% 5.02/5.24 tff(7505,plain,
% 5.02/5.24 (mult(mult(mult(mult(mult(b, c), a), a), b), a) = mult(mult(mult(mult(mult(a, b), c), a), b), a)),
% 5.02/5.24 inference(monotonicity,[status(thm)],[7504])).
% 5.02/5.24 tff(7506,plain,
% 5.02/5.24 (mult(mult(mult(b, c), a), mult(a, mult(b, a))) = mult(mult(mult(b, c), a), mult(mult(a, b), a))),
% 5.02/5.24 inference(monotonicity,[status(thm)],[4194])).
% 5.02/5.24 tff(7507,plain,
% 5.02/5.24 (mult(mult(mult(b, c), a), mult(a, mult(b, a))) = mult(mult(mult(mult(mult(a, b), c), a), b), a)),
% 5.02/5.24 inference(transitivity,[status(thm)],[7506, 6049, 7505])).
% 5.02/5.24 tff(7508,plain,
% 5.02/5.24 ((mult(mult(mult(mult(b, c), a), a), mult(b, a)) = mult(mult(mult(b, c), a), mult(a, mult(b, a)))) <=> (mult(mult(mult(mult(a, b), c), a), mult(b, a)) = mult(mult(mult(mult(mult(a, b), c), a), b), a))),
% 5.02/5.24 inference(monotonicity,[status(thm)],[7502, 7507])).
% 5.02/5.24 tff(7509,plain,
% 5.02/5.24 ((mult(mult(mult(mult(b, c), a), a), mult(b, a)) = mult(mult(mult(b, c), a), mult(a, mult(b, a)))) <=> (mult(mult(mult(mult(mult(a, b), c), a), b), a) = mult(mult(mult(mult(a, b), c), a), mult(b, a)))),
% 5.02/5.24 inference(transitivity,[status(thm)],[7508, 7503])).
% 5.02/5.24 tff(7510,plain,
% 5.02/5.24 ((mult(mult(mult(mult(mult(a, b), c), a), b), a) = mult(mult(mult(mult(a, b), c), a), mult(b, a))) <=> (mult(mult(mult(mult(b, c), a), a), mult(b, a)) = mult(mult(mult(b, c), a), mult(a, mult(b, a))))),
% 5.02/5.24 inference(symmetry,[status(thm)],[7509])).
% 5.02/5.24 tff(7511,plain,
% 5.02/5.24 (mult(a, mult(mult(mult(b, c), a), b)) = mult(mult(a, mult(c, mult(a, b))), b)),
% 5.02/5.24 inference(transitivity,[status(thm)],[6141, 6138, 7064, 5298])).
% 5.02/5.24 tff(7512,plain,
% 5.02/5.24 (mult(a, mult(a, mult(mult(mult(b, c), a), b))) = mult(a, mult(mult(a, mult(c, mult(a, b))), b))),
% 5.02/5.24 inference(monotonicity,[status(thm)],[7511])).
% 5.02/5.24 tff(7513,plain,
% 5.02/5.24 (mult(a, mult(mult(a, mult(c, mult(a, b))), b)) = mult(a, mult(a, mult(mult(mult(b, c), a), b)))),
% 5.02/5.24 inference(symmetry,[status(thm)],[7512])).
% 5.02/5.24 tff(7514,plain,
% 5.02/5.24 (mult(mult(mult(mult(a, b), c), a), mult(b, a)) = mult(a, mult(a, mult(mult(mult(b, c), a), b)))),
% 5.02/5.24 inference(transitivity,[status(thm)],[7229, 7228, 5968, 5684, 5335, 5333, 7513])).
% 5.02/5.24 tff(7515,plain,
% 5.02/5.24 (mult(mult(mult(mult(mult(a, b), c), a), b), a) = mult(mult(a, mult(mult(mult(b, c), a), b)), a)),
% 5.02/5.24 inference(monotonicity,[status(thm)],[7147])).
% 5.02/5.24 tff(7516,plain,
% 5.02/5.24 ((mult(mult(mult(mult(mult(a, b), c), a), b), a) = mult(mult(mult(mult(a, b), c), a), mult(b, a))) <=> (mult(mult(a, mult(mult(mult(b, c), a), b)), a) = mult(a, mult(a, mult(mult(mult(b, c), a), b))))),
% 5.02/5.24 inference(monotonicity,[status(thm)],[7515, 7514])).
% 5.02/5.24 tff(7517,plain,
% 5.02/5.24 ((mult(mult(a, mult(mult(mult(b, c), a), b)), a) = mult(a, mult(a, mult(mult(mult(b, c), a), b)))) <=> (mult(mult(mult(mult(mult(a, b), c), a), b), a) = mult(mult(mult(mult(a, b), c), a), mult(b, a)))),
% 5.02/5.24 inference(symmetry,[status(thm)],[7516])).
% 5.02/5.24 tff(7518,plain,
% 5.02/5.24 ((mult(mult(a, mult(mult(mult(b, c), a), b)), a) = mult(a, mult(a, mult(mult(mult(b, c), a), b)))) <=> (mult(mult(mult(mult(b, c), a), a), mult(b, a)) = mult(mult(mult(b, c), a), mult(a, mult(b, a))))),
% 5.02/5.24 inference(transitivity,[status(thm)],[7517, 7510])).
% 5.02/5.24 tff(7519,plain,
% 5.02/5.24 ((~(mult(mult(a, mult(mult(mult(b, c), a), b)), a) = mult(a, mult(a, mult(mult(mult(b, c), a), b))))) <=> (~(mult(mult(mult(mult(b, c), a), a), mult(b, a)) = mult(mult(mult(b, c), a), mult(a, mult(b, a)))))),
% 5.02/5.24 inference(monotonicity,[status(thm)],[7518])).
% 5.02/5.24 tff(7520,plain,
% 5.02/5.24 (mult(a, mult(a, mult(mult(mult(b, c), a), b))) = mult(mult(mult(mult(a, mult(c, b)), a), a), b)),
% 5.02/5.24 inference(transitivity,[status(thm)],[7512, 5973, 5972, 5971, 5970])).
% 5.02/5.24 tff(7521,plain,
% 5.02/5.24 (mult(mult(mult(mult(b, c), a), a), mult(a, b)) = mult(mult(mult(mult(a, b), c), a), mult(a, b))),
% 5.02/5.24 inference(symmetry,[status(thm)],[7240])).
% 5.02/5.24 tff(7522,plain,
% 5.02/5.24 (mult(mult(mult(b, c), a), mult(mult(a, b), a)) = mult(mult(mult(mult(b, c), a), a), mult(a, b))),
% 5.02/5.24 inference(symmetry,[status(thm)],[6658])).
% 5.02/5.24 tff(7523,plain,
% 5.02/5.24 (mult(mult(mult(mult(mult(a, b), c), a), b), a) = mult(mult(mult(mult(mult(b, c), a), a), b), a)),
% 5.02/5.24 inference(symmetry,[status(thm)],[7505])).
% 5.02/5.24 tff(7524,plain,
% 5.02/5.24 (mult(mult(a, mult(mult(mult(b, c), a), b)), a) = mult(mult(mult(mult(mult(a, b), c), a), b), a)),
% 5.02/5.24 inference(symmetry,[status(thm)],[7515])).
% 5.02/5.24 tff(7525,plain,
% 5.02/5.24 (mult(mult(a, mult(mult(mult(b, c), a), b)), a) = mult(mult(mult(a, mult(c, b)), a), mult(a, b))),
% 5.02/5.24 inference(transitivity,[status(thm)],[7524, 7523, 6048, 7522, 7521, 5978])).
% 5.02/5.24 tff(7526,plain,
% 5.02/5.24 ((mult(mult(a, mult(mult(mult(b, c), a), b)), a) = mult(a, mult(a, mult(mult(mult(b, c), a), b)))) <=> (mult(mult(mult(a, mult(c, b)), a), mult(a, b)) = mult(mult(mult(mult(a, mult(c, b)), a), a), b))),
% 5.02/5.24 inference(monotonicity,[status(thm)],[7525, 7520])).
% 5.02/5.24 tff(7527,plain,
% 5.02/5.24 ((mult(mult(a, mult(mult(mult(b, c), a), b)), a) = mult(a, mult(a, mult(mult(mult(b, c), a), b)))) <=> (mult(mult(mult(mult(a, mult(c, b)), a), a), b) = mult(mult(mult(a, mult(c, b)), a), mult(a, b)))),
% 5.02/5.24 inference(transitivity,[status(thm)],[7526, 5969])).
% 5.02/5.24 tff(7528,plain,
% 5.02/5.24 ((mult(mult(mult(mult(a, mult(c, b)), a), a), b) = mult(mult(mult(a, mult(c, b)), a), mult(a, b))) <=> (mult(mult(a, mult(mult(mult(b, c), a), b)), a) = mult(a, mult(a, mult(mult(mult(b, c), a), b))))),
% 5.02/5.24 inference(symmetry,[status(thm)],[7527])).
% 5.02/5.24 tff(7529,plain,
% 5.02/5.24 ((mult(mult(mult(a, b), mult(a, c)), mult(a, b)) = mult(mult(a, b), mult(mult(a, b), mult(a, c)))) <=> (mult(mult(a, mult(mult(mult(b, c), a), b)), a) = mult(a, mult(a, mult(mult(mult(b, c), a), b))))),
% 5.02/5.24 inference(transitivity,[status(thm)],[5982, 7528])).
% 5.02/5.24 tff(7530,plain,
% 5.02/5.24 ((~(mult(mult(mult(a, b), mult(a, c)), mult(a, b)) = mult(mult(a, b), mult(mult(a, b), mult(a, c))))) <=> (~(mult(mult(a, mult(mult(mult(b, c), a), b)), a) = mult(a, mult(a, mult(mult(mult(b, c), a), b)))))),
% 5.02/5.24 inference(monotonicity,[status(thm)],[7529])).
% 5.02/5.24 tff(7531,plain,
% 5.02/5.24 (~(mult(mult(a, mult(mult(mult(b, c), a), b)), a) = mult(a, mult(a, mult(mult(mult(b, c), a), b))))),
% 5.02/5.24 inference(modus_ponens,[status(thm)],[7222, 7530])).
% 5.02/5.24 tff(7532,plain,
% 5.02/5.24 (~(mult(mult(mult(mult(b, c), a), a), mult(b, a)) = mult(mult(mult(b, c), a), mult(a, mult(b, a))))),
% 5.02/5.24 inference(modus_ponens,[status(thm)],[7531, 7519])).
% 5.02/5.24 tff(7533,plain,
% 5.02/5.24 (((~(mult(mult(mult(mult(b, c), a), a), mult(b, a)) = mult(mult(mult(b, c), a), mult(a, mult(b, a))))) | (~(mult(mult(mult(mult(b, c), a), mult(b, a)), a) = mult(mult(mult(b, c), a), mult(mult(b, a), a))))) | (mult(mult(mult(mult(b, c), a), a), mult(b, a)) = mult(mult(mult(b, c), a), mult(a, mult(b, a))))),
% 5.02/5.24 inference(tautology,[status(thm)],[])).
% 5.02/5.24 tff(7534,plain,
% 5.02/5.24 ((~(mult(mult(mult(mult(b, c), a), a), mult(b, a)) = mult(mult(mult(b, c), a), mult(a, mult(b, a))))) | (~(mult(mult(mult(mult(b, c), a), mult(b, a)), a) = mult(mult(mult(b, c), a), mult(mult(b, a), a))))),
% 5.02/5.24 inference(unit_resolution,[status(thm)],[7533, 7532])).
% 5.02/5.24 tff(7535,plain,
% 5.02/5.24 (((~![X0: $i, X1: $i, X2: $i] : ((~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X2, X1)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X1, X2)))))) | (~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X1, X2)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X2, X1)))))))) | ((~((~(mult(mult(mult(mult(b, c), a), a), mult(b, a)) = mult(mult(mult(b, c), a), mult(a, mult(b, a))))) | (~(mult(mult(mult(mult(b, c), a), mult(b, a)), a) = mult(mult(mult(b, c), a), mult(mult(b, a), a)))))) | (~((~(mult(mult(mult(mult(b, c), a), a), mult(b, a)) = mult(mult(mult(b, c), a), mult(mult(b, a), a)))) | (~(mult(mult(mult(mult(b, c), a), mult(b, a)), a) = mult(mult(mult(b, c), a), mult(a, mult(b, a))))))))) <=> ((~![X0: $i, X1: $i, X2: $i] : ((~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X2, X1)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X1, X2)))))) | (~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X1, X2)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X2, X1)))))))) | (~((~(mult(mult(mult(mult(b, c), a), a), mult(b, a)) = mult(mult(mult(b, c), a), mult(a, mult(b, a))))) | (~(mult(mult(mult(mult(b, c), a), mult(b, a)), a) = mult(mult(mult(b, c), a), mult(mult(b, a), a)))))) | (~((~(mult(mult(mult(mult(b, c), a), a), mult(b, a)) = mult(mult(mult(b, c), a), mult(mult(b, a), a)))) | (~(mult(mult(mult(mult(b, c), a), mult(b, a)), a) = mult(mult(mult(b, c), a), mult(a, mult(b, a))))))))),
% 5.02/5.24 inference(rewrite,[status(thm)],[])).
% 5.02/5.24 tff(7536,plain,
% 5.02/5.24 (((~((~(mult(mult(mult(mult(b, c), a), a), mult(b, a)) = mult(mult(mult(b, c), a), mult(mult(b, a), a)))) | (~(mult(mult(mult(mult(b, c), a), mult(b, a)), a) = mult(mult(mult(b, c), a), mult(a, mult(b, a))))))) | (~((~(mult(mult(mult(mult(b, c), a), a), mult(b, a)) = mult(mult(mult(b, c), a), mult(a, mult(b, a))))) | (~(mult(mult(mult(mult(b, c), a), mult(b, a)), a) = mult(mult(mult(b, c), a), mult(mult(b, a), a))))))) <=> ((~((~(mult(mult(mult(mult(b, c), a), a), mult(b, a)) = mult(mult(mult(b, c), a), mult(a, mult(b, a))))) | (~(mult(mult(mult(mult(b, c), a), mult(b, a)), a) = mult(mult(mult(b, c), a), mult(mult(b, a), a)))))) | (~((~(mult(mult(mult(mult(b, c), a), a), mult(b, a)) = mult(mult(mult(b, c), a), mult(mult(b, a), a)))) | (~(mult(mult(mult(mult(b, c), a), mult(b, a)), a) = mult(mult(mult(b, c), a), mult(a, mult(b, a))))))))),
% 5.02/5.24 inference(rewrite,[status(thm)],[])).
% 5.02/5.24 tff(7537,plain,
% 5.02/5.24 (((~![X0: $i, X1: $i, X2: $i] : ((~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X2, X1)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X1, X2)))))) | (~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X1, X2)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X2, X1)))))))) | ((~((~(mult(mult(mult(mult(b, c), a), a), mult(b, a)) = mult(mult(mult(b, c), a), mult(mult(b, a), a)))) | (~(mult(mult(mult(mult(b, c), a), mult(b, a)), a) = mult(mult(mult(b, c), a), mult(a, mult(b, a))))))) | (~((~(mult(mult(mult(mult(b, c), a), a), mult(b, a)) = mult(mult(mult(b, c), a), mult(a, mult(b, a))))) | (~(mult(mult(mult(mult(b, c), a), mult(b, a)), a) = mult(mult(mult(b, c), a), mult(mult(b, a), a)))))))) <=> ((~![X0: $i, X1: $i, X2: $i] : ((~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X2, X1)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X1, X2)))))) | (~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X1, X2)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X2, X1)))))))) | ((~((~(mult(mult(mult(mult(b, c), a), a), mult(b, a)) = mult(mult(mult(b, c), a), mult(a, mult(b, a))))) | (~(mult(mult(mult(mult(b, c), a), mult(b, a)), a) = mult(mult(mult(b, c), a), mult(mult(b, a), a)))))) | (~((~(mult(mult(mult(mult(b, c), a), a), mult(b, a)) = mult(mult(mult(b, c), a), mult(mult(b, a), a)))) | (~(mult(mult(mult(mult(b, c), a), mult(b, a)), a) = mult(mult(mult(b, c), a), mult(a, mult(b, a)))))))))),
% 5.08/5.24 inference(monotonicity,[status(thm)],[7536])).
% 5.08/5.24 tff(7538,plain,
% 5.08/5.24 (((~![X0: $i, X1: $i, X2: $i] : ((~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X2, X1)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X1, X2)))))) | (~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X1, X2)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X2, X1)))))))) | ((~((~(mult(mult(mult(mult(b, c), a), a), mult(b, a)) = mult(mult(mult(b, c), a), mult(mult(b, a), a)))) | (~(mult(mult(mult(mult(b, c), a), mult(b, a)), a) = mult(mult(mult(b, c), a), mult(a, mult(b, a))))))) | (~((~(mult(mult(mult(mult(b, c), a), a), mult(b, a)) = mult(mult(mult(b, c), a), mult(a, mult(b, a))))) | (~(mult(mult(mult(mult(b, c), a), mult(b, a)), a) = mult(mult(mult(b, c), a), mult(mult(b, a), a)))))))) <=> ((~![X0: $i, X1: $i, X2: $i] : ((~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X2, X1)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X1, X2)))))) | (~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X1, X2)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X2, X1)))))))) | (~((~(mult(mult(mult(mult(b, c), a), a), mult(b, a)) = mult(mult(mult(b, c), a), mult(a, mult(b, a))))) | (~(mult(mult(mult(mult(b, c), a), mult(b, a)), a) = mult(mult(mult(b, c), a), mult(mult(b, a), a)))))) | (~((~(mult(mult(mult(mult(b, c), a), a), mult(b, a)) = mult(mult(mult(b, c), a), mult(mult(b, a), a)))) | (~(mult(mult(mult(mult(b, c), a), mult(b, a)), a) = mult(mult(mult(b, c), a), mult(a, mult(b, a))))))))),
% 5.08/5.24 inference(transitivity,[status(thm)],[7537, 7535])).
% 5.08/5.24 tff(7539,plain,
% 5.08/5.24 ((~![X0: $i, X1: $i, X2: $i] : ((~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X2, X1)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X1, X2)))))) | (~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X1, X2)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X2, X1)))))))) | ((~((~(mult(mult(mult(mult(b, c), a), a), mult(b, a)) = mult(mult(mult(b, c), a), mult(mult(b, a), a)))) | (~(mult(mult(mult(mult(b, c), a), mult(b, a)), a) = mult(mult(mult(b, c), a), mult(a, mult(b, a))))))) | (~((~(mult(mult(mult(mult(b, c), a), a), mult(b, a)) = mult(mult(mult(b, c), a), mult(a, mult(b, a))))) | (~(mult(mult(mult(mult(b, c), a), mult(b, a)), a) = mult(mult(mult(b, c), a), mult(mult(b, a), a)))))))),
% 5.08/5.24 inference(quant_inst,[status(thm)],[])).
% 5.08/5.24 tff(7540,plain,
% 5.08/5.24 ((~![X0: $i, X1: $i, X2: $i] : ((~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X2, X1)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X1, X2)))))) | (~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X1, X2)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X2, X1)))))))) | (~((~(mult(mult(mult(mult(b, c), a), a), mult(b, a)) = mult(mult(mult(b, c), a), mult(a, mult(b, a))))) | (~(mult(mult(mult(mult(b, c), a), mult(b, a)), a) = mult(mult(mult(b, c), a), mult(mult(b, a), a)))))) | (~((~(mult(mult(mult(mult(b, c), a), a), mult(b, a)) = mult(mult(mult(b, c), a), mult(mult(b, a), a)))) | (~(mult(mult(mult(mult(b, c), a), mult(b, a)), a) = mult(mult(mult(b, c), a), mult(a, mult(b, a)))))))),
% 5.08/5.24 inference(modus_ponens,[status(thm)],[7539, 7538])).
% 5.08/5.24 tff(7541,plain,
% 5.08/5.24 ((~((~(mult(mult(mult(mult(b, c), a), a), mult(b, a)) = mult(mult(mult(b, c), a), mult(a, mult(b, a))))) | (~(mult(mult(mult(mult(b, c), a), mult(b, a)), a) = mult(mult(mult(b, c), a), mult(mult(b, a), a)))))) | (~((~(mult(mult(mult(mult(b, c), a), a), mult(b, a)) = mult(mult(mult(b, c), a), mult(mult(b, a), a)))) | (~(mult(mult(mult(mult(b, c), a), mult(b, a)), a) = mult(mult(mult(b, c), a), mult(a, mult(b, a)))))))),
% 5.08/5.24 inference(unit_resolution,[status(thm)],[7540, 30])).
% 5.08/5.24 tff(7542,plain,
% 5.08/5.24 (~((~(mult(mult(mult(mult(b, c), a), a), mult(b, a)) = mult(mult(mult(b, c), a), mult(mult(b, a), a)))) | (~(mult(mult(mult(mult(b, c), a), mult(b, a)), a) = mult(mult(mult(b, c), a), mult(a, mult(b, a))))))),
% 5.08/5.24 inference(unit_resolution,[status(thm)],[7541, 7534])).
% 5.08/5.25 tff(7543,plain,
% 5.08/5.25 (((~(mult(mult(mult(mult(b, c), a), a), mult(b, a)) = mult(mult(mult(b, c), a), mult(mult(b, a), a)))) | (~(mult(mult(mult(mult(b, c), a), mult(b, a)), a) = mult(mult(mult(b, c), a), mult(a, mult(b, a)))))) | (mult(mult(mult(mult(b, c), a), a), mult(b, a)) = mult(mult(mult(b, c), a), mult(mult(b, a), a)))),
% 5.08/5.25 inference(tautology,[status(thm)],[])).
% 5.08/5.25 tff(7544,plain,
% 5.08/5.25 (mult(mult(mult(mult(b, c), a), a), mult(b, a)) = mult(mult(mult(b, c), a), mult(mult(b, a), a))),
% 5.08/5.25 inference(unit_resolution,[status(thm)],[7543, 7542])).
% 5.08/5.25 tff(7545,plain,
% 5.08/5.25 (mult(mult(mult(b, c), a), mult(mult(b, a), a)) = mult(mult(mult(mult(b, c), a), a), mult(b, a))),
% 5.08/5.25 inference(symmetry,[status(thm)],[7544])).
% 5.08/5.25 tff(7546,plain,
% 5.08/5.25 (mult(mult(mult(b, c), a), mult(mult(b, a), a)) = mult(mult(mult(b, c), a), mult(mult(a, a), b))),
% 5.08/5.25 inference(transitivity,[status(thm)],[7545, 7502, 7229, 7228, 5968, 5684, 5335, 5333, 5302, 5967, 7500, 7499, 7496, 7236, 7233])).
% 5.08/5.25 tff(7547,plain,
% 5.08/5.25 (ld(mult(mult(b, c), a), mult(mult(mult(b, c), a), mult(mult(b, a), a))) = ld(mult(mult(b, c), a), mult(mult(mult(b, c), a), mult(mult(a, a), b)))),
% 5.08/5.25 inference(monotonicity,[status(thm)],[7546])).
% 5.08/5.25 tff(7548,plain,
% 5.08/5.25 ((~![B: $i, A: $i] : (ld(A, mult(A, B)) = B)) | (ld(mult(mult(b, c), a), mult(mult(mult(b, c), a), mult(mult(b, a), a))) = mult(mult(b, a), a))),
% 5.08/5.25 inference(quant_inst,[status(thm)],[])).
% 5.08/5.25 tff(7549,plain,
% 5.08/5.25 (ld(mult(mult(b, c), a), mult(mult(mult(b, c), a), mult(mult(b, a), a))) = mult(mult(b, a), a)),
% 5.08/5.25 inference(unit_resolution,[status(thm)],[7548, 9])).
% 5.08/5.25 tff(7550,plain,
% 5.08/5.25 (mult(mult(b, a), a) = ld(mult(mult(b, c), a), mult(mult(mult(b, c), a), mult(mult(b, a), a)))),
% 5.08/5.25 inference(symmetry,[status(thm)],[7549])).
% 5.08/5.25 tff(7551,plain,
% 5.08/5.25 (mult(mult(b, a), a) = mult(mult(a, a), b)),
% 5.08/5.25 inference(transitivity,[status(thm)],[7550, 7547, 7231])).
% 5.08/5.25 tff(7552,plain,
% 5.08/5.25 (mult(mult(mult(b, a), a), c) = mult(mult(mult(a, a), b), c)),
% 5.08/5.25 inference(monotonicity,[status(thm)],[7551])).
% 5.08/5.25 tff(7553,plain,
% 5.08/5.25 (~(mult(mult(b, mult(c, a)), a) = mult(b, mult(mult(c, a), a)))),
% 5.08/5.25 inference(unit_resolution,[status(thm)],[4845, 5336])).
% 5.08/5.25 tff(7554,plain,
% 5.08/5.25 ((~(mult(mult(b, a), mult(c, a)) = mult(b, mult(a, mult(c, a))))) | (~(mult(mult(b, mult(c, a)), a) = mult(b, mult(mult(c, a), a))))),
% 5.08/5.25 inference(unit_resolution,[status(thm)],[3454, 7553])).
% 5.08/5.25 tff(7555,plain,
% 5.08/5.25 (~((~(mult(mult(b, a), mult(c, a)) = mult(b, mult(mult(c, a), a)))) | (~(mult(mult(b, mult(c, a)), a) = mult(b, mult(a, mult(c, a))))))),
% 5.08/5.25 inference(unit_resolution,[status(thm)],[3499, 7554])).
% 5.08/5.25 tff(7556,plain,
% 5.08/5.25 (mult(mult(b, a), mult(c, a)) = mult(b, mult(mult(c, a), a))),
% 5.08/5.25 inference(unit_resolution,[status(thm)],[3501, 7555])).
% 5.08/5.25 tff(7557,plain,
% 5.08/5.25 (mult(b, mult(mult(c, a), a)) = mult(mult(b, a), mult(c, a))),
% 5.08/5.25 inference(symmetry,[status(thm)],[7556])).
% 5.08/5.25 tff(7558,plain,
% 5.08/5.25 ((mult(mult(b, mult(c, a)), a) = mult(b, mult(mult(c, a), a))) <=> (mult(mult(mult(b, a), c), a) = mult(mult(b, a), mult(c, a)))),
% 5.08/5.25 inference(monotonicity,[status(thm)],[4657, 7557])).
% 5.08/5.25 tff(7559,plain,
% 5.08/5.25 ((~(mult(mult(b, mult(c, a)), a) = mult(b, mult(mult(c, a), a)))) <=> (~(mult(mult(mult(b, a), c), a) = mult(mult(b, a), mult(c, a))))),
% 5.08/5.25 inference(monotonicity,[status(thm)],[7558])).
% 5.08/5.25 tff(7560,plain,
% 5.08/5.25 (~(mult(mult(mult(b, a), c), a) = mult(mult(b, a), mult(c, a)))),
% 5.08/5.25 inference(modus_ponens,[status(thm)],[7553, 7559])).
% 5.08/5.25 tff(7561,plain,
% 5.08/5.25 ((~(mult(mult(mult(b, a), a), c) = mult(mult(b, a), mult(a, c)))) | (~(mult(mult(mult(b, a), c), a) = mult(mult(b, a), mult(c, a))))),
% 5.08/5.25 inference(unit_resolution,[status(thm)],[3442, 7560])).
% 5.08/5.25 tff(7562,plain,
% 5.08/5.25 (~((~(mult(mult(mult(b, a), a), c) = mult(mult(b, a), mult(c, a)))) | (~(mult(mult(mult(b, a), c), a) = mult(mult(b, a), mult(a, c)))))),
% 5.08/5.25 inference(unit_resolution,[status(thm)],[3440, 7561])).
% 5.08/5.25 tff(7563,plain,
% 5.08/5.25 (((~(mult(mult(mult(b, a), a), c) = mult(mult(b, a), mult(c, a)))) | (~(mult(mult(mult(b, a), c), a) = mult(mult(b, a), mult(a, c))))) | (mult(mult(mult(b, a), a), c) = mult(mult(b, a), mult(c, a)))),
% 5.08/5.25 inference(tautology,[status(thm)],[])).
% 5.08/5.25 tff(7564,plain,
% 5.08/5.25 (mult(mult(mult(b, a), a), c) = mult(mult(b, a), mult(c, a))),
% 5.08/5.25 inference(unit_resolution,[status(thm)],[7563, 7562])).
% 5.08/5.25 tff(7565,plain,
% 5.08/5.25 (mult(mult(b, a), mult(c, a)) = mult(mult(mult(b, a), a), c)),
% 5.08/5.25 inference(symmetry,[status(thm)],[7564])).
% 5.08/5.25 tff(7566,plain,
% 5.08/5.25 (mult(mult(b, a), mult(c, a)) = mult(mult(mult(a, b), c), a)),
% 5.08/5.25 inference(transitivity,[status(thm)],[7565, 7552, 5347, 4709, 5292, 4822, 609])).
% 5.08/5.25 tff(7567,plain,
% 5.08/5.25 (mult(mult(mult(b, a), mult(c, a)), mult(b, a)) = mult(mult(mult(mult(a, b), c), a), mult(b, a))),
% 5.08/5.25 inference(monotonicity,[status(thm)],[7566])).
% 5.08/5.25 tff(7568,plain,
% 5.08/5.25 ((mult(a, mult(a, mult(mult(mult(b, c), a), b))) = mult(mult(a, mult(mult(mult(b, c), a), b)), a)) <=> (mult(mult(a, mult(mult(mult(b, c), a), b)), a) = mult(a, mult(a, mult(mult(mult(b, c), a), b))))),
% 5.08/5.25 inference(commutativity,[status(thm)],[])).
% 5.08/5.25 tff(7569,plain,
% 5.08/5.25 (mult(mult(a, a), mult(mult(b, mult(a, c)), b)) = mult(mult(a, a), mult(mult(mult(b, c), a), b))),
% 5.08/5.25 inference(symmetry,[status(thm)],[6280])).
% 5.08/5.25 tff(7570,plain,
% 5.08/5.25 (mult(mult(mult(a, a), b), mult(a, c)) = mult(mult(mult(mult(a, b), c), a), a)),
% 5.08/5.25 inference(transitivity,[status(thm)],[7288, 5572, 7270, 5467, 5482, 5693, 5637, 5690])).
% 5.08/5.25 tff(7571,plain,
% 5.08/5.25 (mult(mult(mult(mult(a, a), b), mult(a, c)), b) = mult(mult(mult(mult(mult(a, b), c), a), a), b)),
% 5.08/5.25 inference(monotonicity,[status(thm)],[7570])).
% 5.08/5.25 tff(7572,plain,
% 5.08/5.25 (mult(mult(mult(mult(mult(a, b), c), a), a), b) = mult(mult(mult(mult(a, a), b), mult(a, c)), b)),
% 5.08/5.25 inference(symmetry,[status(thm)],[7571])).
% 5.08/5.25 tff(7573,plain,
% 5.08/5.25 (~((~(mult(mult(mult(a, mult(a, a)), mult(b, c)), b) = mult(mult(a, mult(a, a)), mult(b, mult(b, c))))) | (~(mult(mult(mult(a, mult(a, a)), b), mult(b, c)) = mult(mult(a, mult(a, a)), mult(mult(b, c), b)))))),
% 5.08/5.25 inference(unit_resolution,[status(thm)],[6578, 5953])).
% 5.08/5.25 tff(7574,plain,
% 5.08/5.25 (mult(mult(mult(a, mult(a, a)), b), mult(b, c)) = mult(mult(a, mult(a, a)), mult(mult(b, c), b))),
% 5.08/5.25 inference(unit_resolution,[status(thm)],[6580, 7573])).
% 5.08/5.25 tff(7575,plain,
% 5.08/5.25 (rd(mult(mult(a, mult(mult(a, a), b)), c), c) = rd(mult(mult(mult(a, mult(a, a)), b), c), c)),
% 5.08/5.25 inference(symmetry,[status(thm)],[7325])).
% 5.08/5.25 tff(7576,plain,
% 5.08/5.25 (mult(a, mult(mult(a, a), b)) = rd(mult(mult(a, mult(mult(a, a), b)), c), c)),
% 5.08/5.25 inference(symmetry,[status(thm)],[7321])).
% 5.08/5.25 tff(7577,plain,
% 5.08/5.25 (mult(a, mult(mult(a, a), b)) = mult(mult(a, mult(a, a)), b)),
% 5.08/5.25 inference(transitivity,[status(thm)],[7576, 7575, 6332])).
% 5.08/5.25 tff(7578,plain,
% 5.08/5.25 (mult(mult(a, mult(mult(a, a), b)), mult(b, c)) = mult(mult(mult(a, mult(a, a)), b), mult(b, c))),
% 5.08/5.25 inference(monotonicity,[status(thm)],[7577])).
% 5.08/5.25 tff(7579,plain,
% 5.08/5.25 (mult(mult(a, a), mult(a, b)) = mult(a, mult(mult(a, a), b))),
% 5.08/5.25 inference(transitivity,[status(thm)],[6367, 7333, 7321])).
% 5.08/5.25 tff(7580,plain,
% 5.08/5.25 (mult(mult(mult(a, a), mult(a, b)), mult(b, c)) = mult(mult(a, mult(mult(a, a), b)), mult(b, c))),
% 5.08/5.25 inference(monotonicity,[status(thm)],[7579])).
% 5.08/5.25 tff(7581,plain,
% 5.08/5.25 (mult(c, mult(mult(b, a), a)) = mult(c, mult(mult(a, a), b))),
% 5.08/5.25 inference(monotonicity,[status(thm)],[7551])).
% 5.08/5.25 tff(7582,plain,
% 5.08/5.25 (mult(c, mult(mult(b, a), a)) = mult(mult(c, mult(a, b)), a)),
% 5.08/5.25 inference(transitivity,[status(thm)],[7581, 6006, 6005])).
% 5.08/5.25 tff(7583,plain,
% 5.08/5.25 (mult(c, mult(b, a)) = mult(mult(c, a), b)),
% 5.08/5.25 inference(symmetry,[status(thm)],[5289])).
% 5.08/5.25 tff(7584,plain,
% 5.08/5.25 (mult(mult(c, mult(b, a)), a) = mult(mult(mult(c, a), b), a)),
% 5.08/5.25 inference(monotonicity,[status(thm)],[7583])).
% 5.08/5.25 tff(7585,plain,
% 5.08/5.25 (mult(mult(c, mult(b, a)), a) = mult(c, mult(mult(a, b), a))),
% 5.08/5.25 inference(transitivity,[status(thm)],[7584, 2807])).
% 5.08/5.25 tff(7586,plain,
% 5.08/5.25 ((mult(mult(c, mult(b, a)), a) = mult(c, mult(mult(b, a), a))) <=> (mult(c, mult(mult(a, b), a)) = mult(mult(c, mult(a, b)), a))),
% 5.08/5.25 inference(monotonicity,[status(thm)],[7585, 7582])).
% 5.08/5.25 tff(7587,plain,
% 5.08/5.25 ((mult(mult(c, mult(b, a)), a) = mult(c, mult(mult(b, a), a))) <=> (mult(mult(c, mult(a, b)), a) = mult(c, mult(mult(a, b), a)))),
% 5.08/5.25 inference(transitivity,[status(thm)],[7586, 6726])).
% 5.08/5.25 tff(7588,plain,
% 5.08/5.25 ((mult(mult(c, mult(a, b)), a) = mult(c, mult(mult(a, b), a))) <=> (mult(mult(c, mult(b, a)), a) = mult(c, mult(mult(b, a), a)))),
% 5.08/5.25 inference(symmetry,[status(thm)],[7587])).
% 5.08/5.25 tff(7589,plain,
% 5.08/5.25 ((~(mult(mult(c, mult(a, b)), a) = mult(c, mult(mult(a, b), a)))) <=> (~(mult(mult(c, mult(b, a)), a) = mult(c, mult(mult(b, a), a))))),
% 5.08/5.25 inference(monotonicity,[status(thm)],[7588])).
% 5.08/5.25 tff(7590,plain,
% 5.08/5.25 (~(mult(mult(c, mult(b, a)), a) = mult(c, mult(mult(b, a), a)))),
% 5.08/5.25 inference(modus_ponens,[status(thm)],[6001, 7589])).
% 5.08/5.25 tff(7591,plain,
% 5.08/5.25 (((~(mult(mult(c, a), mult(b, a)) = mult(c, mult(a, mult(b, a))))) | (~(mult(mult(c, mult(b, a)), a) = mult(c, mult(mult(b, a), a))))) | (mult(mult(c, mult(b, a)), a) = mult(c, mult(mult(b, a), a)))),
% 5.08/5.25 inference(tautology,[status(thm)],[])).
% 5.08/5.25 tff(7592,plain,
% 5.08/5.25 ((~(mult(mult(c, a), mult(b, a)) = mult(c, mult(a, mult(b, a))))) | (~(mult(mult(c, mult(b, a)), a) = mult(c, mult(mult(b, a), a))))),
% 5.08/5.25 inference(unit_resolution,[status(thm)],[7591, 7590])).
% 5.08/5.25 tff(7593,plain,
% 5.08/5.25 (~((~(mult(mult(c, a), mult(b, a)) = mult(c, mult(mult(b, a), a)))) | (~(mult(mult(c, mult(b, a)), a) = mult(c, mult(a, mult(b, a))))))),
% 5.08/5.25 inference(unit_resolution,[status(thm)],[4534, 7592])).
% 5.08/5.25 tff(7594,plain,
% 5.08/5.25 (mult(mult(c, a), mult(b, a)) = mult(c, mult(mult(b, a), a))),
% 5.08/5.25 inference(unit_resolution,[status(thm)],[4536, 7593])).
% 5.08/5.25 tff(7595,plain,
% 5.08/5.25 ((~![B: $i, A: $i] : (rd(mult(A, B), B) = A)) | (rd(mult(mult(c, mult(mult(a, b), a)), a), a) = mult(c, mult(mult(a, b), a)))),
% 5.08/5.25 inference(quant_inst,[status(thm)],[])).
% 5.08/5.25 tff(7596,plain,
% 5.08/5.25 (rd(mult(mult(c, mult(mult(a, b), a)), a), a) = mult(c, mult(mult(a, b), a))),
% 5.08/5.25 inference(unit_resolution,[status(thm)],[7595, 72])).
% 5.08/5.25 tff(7597,plain,
% 5.08/5.25 (mult(mult(a, c), mult(a, b)) = mult(mult(a, a), mult(c, b))),
% 5.08/5.25 inference(transitivity,[status(thm)],[593, 112, 912])).
% 5.08/5.25 tff(7598,plain,
% 5.08/5.25 (mult(mult(mult(a, c), mult(a, b)), a) = mult(mult(mult(a, a), mult(c, b)), a)),
% 5.08/5.25 inference(monotonicity,[status(thm)],[7597])).
% 5.08/5.25 tff(7599,plain,
% 5.08/5.25 (mult(mult(c, mult(mult(a, a), b)), a) = mult(mult(mult(a, c), mult(a, b)), a)),
% 5.08/5.25 inference(monotonicity,[status(thm)],[6426])).
% 5.08/5.25 tff(7600,assumption,(mult(mult(c, mult(mult(a, a), b)), a) = mult(c, mult(mult(mult(a, a), b), a))), introduced(assumption)).
% 5.08/5.25 tff(7601,plain,
% 5.08/5.25 (mult(c, mult(mult(mult(a, a), b), a)) = mult(mult(c, mult(mult(a, a), b)), a)),
% 5.08/5.25 inference(symmetry,[status(thm)],[7600])).
% 5.08/5.25 tff(7602,plain,
% 5.08/5.25 (mult(mult(a, mult(a, b)), a) = mult(mult(mult(a, a), b), a)),
% 5.08/5.25 inference(monotonicity,[status(thm)],[449])).
% 5.08/5.25 tff(7603,plain,
% 5.08/5.25 (mult(c, mult(mult(a, mult(a, b)), a)) = mult(c, mult(mult(mult(a, a), b), a))),
% 5.08/5.25 inference(monotonicity,[status(thm)],[7602])).
% 5.08/5.25 tff(7604,plain,
% 5.08/5.25 ((~![C: $i, B: $i, A: $i] : (mult(mult(mult(A, B), C), B) = mult(A, mult(mult(B, C), B)))) | (mult(mult(mult(c, a), mult(a, b)), a) = mult(c, mult(mult(a, mult(a, b)), a)))),
% 5.08/5.25 inference(quant_inst,[status(thm)],[])).
% 5.08/5.25 tff(7605,plain,
% 5.08/5.25 (mult(mult(mult(c, a), mult(a, b)), a) = mult(c, mult(mult(a, mult(a, b)), a))),
% 5.08/5.25 inference(unit_resolution,[status(thm)],[7604, 860])).
% 5.08/5.25 tff(7606,plain,
% 5.08/5.25 (~((~(mult(mult(c, a), mult(a, b)) = mult(c, mult(mult(a, b), a)))) | (~(mult(mult(c, mult(a, b)), a) = mult(c, mult(a, mult(a, b))))))),
% 5.08/5.25 inference(unit_resolution,[status(thm)],[4188, 2921])).
% 5.08/5.25 tff(7607,plain,
% 5.08/5.25 (mult(mult(c, a), mult(a, b)) = mult(c, mult(mult(a, b), a))),
% 5.08/5.25 inference(unit_resolution,[status(thm)],[4169, 7606])).
% 5.08/5.25 tff(7608,plain,
% 5.08/5.25 (mult(c, mult(mult(a, b), a)) = mult(mult(c, a), mult(a, b))),
% 5.08/5.25 inference(symmetry,[status(thm)],[7607])).
% 5.08/5.25 tff(7609,plain,
% 5.08/5.25 (mult(mult(c, mult(mult(a, b), a)), a) = mult(mult(mult(c, a), mult(a, b)), a)),
% 5.08/5.25 inference(monotonicity,[status(thm)],[7608])).
% 5.08/5.25 tff(7610,plain,
% 5.08/5.25 (mult(mult(c, mult(mult(a, b), a)), a) = mult(mult(mult(a, a), mult(c, b)), a)),
% 5.08/5.25 inference(transitivity,[status(thm)],[7609, 7605, 7603, 7601, 7599, 7598])).
% 5.08/5.25 tff(7611,plain,
% 5.08/5.25 (rd(mult(mult(c, mult(mult(a, b), a)), a), a) = rd(mult(mult(mult(a, a), mult(c, b)), a), a)),
% 5.08/5.25 inference(monotonicity,[status(thm)],[7610])).
% 5.08/5.25 tff(7612,plain,
% 5.08/5.25 (rd(mult(mult(mult(a, a), mult(c, b)), a), a) = rd(mult(mult(c, mult(mult(a, b), a)), a), a)),
% 5.08/5.25 inference(symmetry,[status(thm)],[7611])).
% 5.08/5.25 tff(7613,plain,
% 5.08/5.25 (mult(mult(c, mult(a, b)), a) = mult(c, mult(mult(a, b), a))),
% 5.08/5.25 inference(transitivity,[status(thm)],[6425, 594, 593, 112, 912, 4762, 7612, 7596])).
% 5.08/5.25 tff(7614,plain,
% 5.08/5.25 ($false),
% 5.08/5.25 inference(unit_resolution,[status(thm)],[2919, 7613])).
% 5.08/5.25 tff(7615,plain,((~(mult(mult(c, mult(mult(a, a), b)), a) = mult(c, mult(mult(mult(a, a), b), a)))) | (mult(mult(c, mult(a, b)), a) = mult(c, mult(mult(a, b), a))) | (~(mult(mult(a, a), mult(c, b)) = mult(a, mult(a, mult(c, b))))) | (~(mult(mult(a, c), mult(a, b)) = mult(a, mult(mult(a, b), c)))) | (~(mult(mult(mult(a, c), b), a) = mult(mult(a, c), mult(a, b)))) | (~(mult(mult(a, a), mult(b, c)) = mult(a, mult(a, mult(b, c))))) | (~(mult(mult(mult(a, a), b), c) = mult(mult(a, a), mult(b, c)))) | (~(mult(mult(a, mult(a, b)), c) = mult(a, mult(c, mult(a, b))))) | (~(mult(mult(a, a), b) = mult(a, mult(a, b)))) | (~(mult(mult(a, c), b) = mult(a, mult(b, c)))) | (~(mult(mult(a, b), c) = mult(a, mult(c, b)))) | (~(mult(mult(c, mult(a, b)), a) = mult(c, mult(a, mult(a, b)))))), inference(lemma,lemma(discharge,[]))).
% 5.08/5.25 tff(7616,plain,
% 5.08/5.25 ((~(mult(mult(c, mult(mult(a, a), b)), a) = mult(c, mult(mult(mult(a, a), b), a)))) | (mult(mult(c, mult(a, b)), a) = mult(c, mult(mult(a, b), a))) | (~(mult(mult(a, a), mult(c, b)) = mult(a, mult(a, mult(c, b))))) | (~(mult(mult(a, c), mult(a, b)) = mult(a, mult(mult(a, b), c)))) | (~(mult(mult(mult(a, c), b), a) = mult(mult(a, c), mult(a, b)))) | (~(mult(mult(a, a), mult(b, c)) = mult(a, mult(a, mult(b, c))))) | (~(mult(mult(mult(a, a), b), c) = mult(mult(a, a), mult(b, c)))) | (~(mult(mult(a, mult(a, b)), c) = mult(a, mult(c, mult(a, b))))) | (~(mult(mult(a, c), b) = mult(a, mult(b, c)))) | (~(mult(mult(a, b), c) = mult(a, mult(c, b)))) | (~(mult(mult(c, mult(a, b)), a) = mult(c, mult(a, mult(a, b)))))),
% 5.08/5.25 inference(unit_resolution,[status(thm)],[7615, 4190])).
% 5.08/5.25 tff(7617,plain,
% 5.08/5.25 (~(mult(mult(c, mult(mult(a, a), b)), a) = mult(c, mult(mult(mult(a, a), b), a)))),
% 5.08/5.25 inference(unit_resolution,[status(thm)],[7616, 6004, 4654, 5492, 971, 5345, 5885, 4709, 97, 91, 6001])).
% 5.08/5.25 tff(7618,plain,
% 5.08/5.25 (mult(mult(mult(a, b), a), a) = mult(mult(a, mult(b, a)), a)),
% 5.08/5.25 inference(monotonicity,[status(thm)],[4193])).
% 5.08/5.25 tff(7619,plain,
% 5.08/5.25 (mult(mult(a, mult(b, a)), a) = mult(mult(mult(a, b), a), a)),
% 5.08/5.25 inference(symmetry,[status(thm)],[7618])).
% 5.08/5.25 tff(7620,assumption,(mult(mult(a, mult(b, a)), a) = mult(a, mult(a, mult(b, a)))), introduced(assumption)).
% 5.08/5.25 tff(7621,plain,
% 5.08/5.25 (mult(a, mult(a, mult(b, a))) = mult(mult(a, mult(b, a)), a)),
% 5.08/5.25 inference(symmetry,[status(thm)],[7620])).
% 5.08/5.25 tff(7622,plain,
% 5.08/5.25 (mult(a, mult(a, mult(b, a))) = mult(a, mult(mult(a, b), a))),
% 5.08/5.25 inference(monotonicity,[status(thm)],[4194])).
% 5.08/5.25 tff(7623,plain,
% 5.08/5.25 (mult(a, mult(mult(a, b), a)) = mult(a, mult(a, mult(b, a)))),
% 5.08/5.25 inference(symmetry,[status(thm)],[7622])).
% 5.08/5.25 tff(7624,plain,
% 5.08/5.25 ((~![C: $i, B: $i, A: $i] : (mult(mult(mult(A, B), C), B) = mult(A, mult(mult(B, C), B)))) | (mult(mult(mult(a, a), b), a) = mult(a, mult(mult(a, b), a)))),
% 5.08/5.25 inference(quant_inst,[status(thm)],[])).
% 5.08/5.25 tff(7625,plain,
% 5.08/5.25 (mult(mult(mult(a, a), b), a) = mult(a, mult(mult(a, b), a))),
% 5.08/5.25 inference(unit_resolution,[status(thm)],[7624, 860])).
% 5.08/5.25 tff(7626,plain,
% 5.08/5.25 (mult(mult(mult(a, a), b), a) = mult(mult(mult(a, b), a), a)),
% 5.08/5.25 inference(transitivity,[status(thm)],[7625, 7623, 7621, 7619])).
% 5.08/5.25 tff(7627,plain,
% 5.08/5.25 (mult(c, mult(mult(mult(a, a), b), a)) = mult(c, mult(mult(mult(a, b), a), a))),
% 5.08/5.25 inference(monotonicity,[status(thm)],[7626])).
% 5.08/5.25 tff(7628,plain,
% 5.08/5.25 (mult(c, mult(mult(mult(a, b), a), a)) = mult(c, mult(mult(mult(a, a), b), a))),
% 5.08/5.25 inference(symmetry,[status(thm)],[7627])).
% 5.08/5.25 tff(7629,plain,
% 5.08/5.25 (mult(c, mult(mult(mult(a, b), a), a)) = mult(c, mult(mult(a, mult(b, a)), a))),
% 5.08/5.25 inference(monotonicity,[status(thm)],[7618])).
% 5.08/5.25 tff(7630,plain,
% 5.08/5.25 (mult(c, mult(mult(a, mult(b, a)), a)) = mult(c, mult(mult(mult(a, b), a), a))),
% 5.08/5.26 inference(symmetry,[status(thm)],[7629])).
% 5.08/5.26 tff(7631,plain,
% 5.08/5.26 ((~![C: $i, B: $i, A: $i] : (mult(mult(mult(A, B), C), B) = mult(A, mult(mult(B, C), B)))) | (mult(mult(mult(c, a), mult(b, a)), a) = mult(c, mult(mult(a, mult(b, a)), a)))),
% 5.08/5.26 inference(quant_inst,[status(thm)],[])).
% 5.08/5.26 tff(7632,plain,
% 5.08/5.26 (mult(mult(mult(c, a), mult(b, a)), a) = mult(c, mult(mult(a, mult(b, a)), a))),
% 5.08/5.26 inference(unit_resolution,[status(thm)],[7631, 860])).
% 5.08/5.26 tff(7633,plain,
% 5.08/5.26 (mult(mult(b, c), a) = mult(mult(a, b), c)),
% 5.08/5.26 inference(transitivity,[status(thm)],[5314, 5566, 802, 110])).
% 5.08/5.26 tff(7634,plain,
% 5.08/5.26 (mult(mult(mult(b, c), a), mult(a, mult(a, b))) = mult(mult(mult(a, b), c), mult(mult(a, a), b))),
% 5.08/5.26 inference(monotonicity,[status(thm)],[7633, 6193])).
% 5.08/5.26 tff(7635,plain,
% 5.08/5.26 (mult(mult(mult(a, b), c), mult(mult(a, a), b)) = mult(mult(mult(b, c), a), mult(a, mult(a, b)))),
% 5.08/5.26 inference(symmetry,[status(thm)],[7634])).
% 5.08/5.26 tff(7636,assumption,(mult(mult(mult(a, b), c), mult(mult(a, a), b)) = mult(mult(a, b), mult(mult(mult(a, a), b), c))), introduced(assumption)).
% 5.08/5.26 tff(7637,plain,
% 5.08/5.26 (mult(mult(a, b), mult(mult(mult(a, a), b), c)) = mult(mult(mult(a, b), c), mult(mult(a, a), b))),
% 5.08/5.26 inference(symmetry,[status(thm)],[7636])).
% 5.08/5.26 tff(7638,plain,
% 5.08/5.26 (mult(mult(mult(a, a), b), c) = mult(a, mult(c, mult(a, b)))),
% 5.08/5.26 inference(transitivity,[status(thm)],[5347, 269])).
% 5.08/5.26 tff(7639,plain,
% 5.08/5.26 (mult(mult(a, b), mult(mult(mult(a, a), b), c)) = mult(mult(a, b), mult(a, mult(c, mult(a, b))))),
% 5.08/5.26 inference(monotonicity,[status(thm)],[7638])).
% 5.08/5.26 tff(7640,plain,
% 5.08/5.26 (mult(mult(a, b), mult(a, mult(c, mult(a, b)))) = mult(mult(a, b), mult(mult(mult(a, a), b), c))),
% 5.08/5.26 inference(symmetry,[status(thm)],[7639])).
% 5.08/5.26 tff(7641,plain,
% 5.08/5.26 (mult(a, mult(c, mult(a, b))) = mult(mult(a, mult(c, b)), a)),
% 5.08/5.26 inference(transitivity,[status(thm)],[1414, 708])).
% 5.08/5.26 tff(7642,plain,
% 5.08/5.26 (mult(mult(a, b), mult(a, mult(c, mult(a, b)))) = mult(mult(a, b), mult(mult(a, mult(c, b)), a))),
% 5.08/5.26 inference(monotonicity,[status(thm)],[7641])).
% 5.08/5.26 tff(7643,plain,
% 5.08/5.26 (mult(mult(a, b), mult(mult(a, mult(c, b)), a)) = mult(mult(a, b), mult(a, mult(c, mult(a, b))))),
% 5.08/5.26 inference(symmetry,[status(thm)],[7642])).
% 5.08/5.26 tff(7644,plain,
% 5.08/5.26 (mult(mult(mult(a, mult(c, b)), a), b) = mult(mult(a, mult(c, mult(a, b))), b)),
% 5.08/5.26 inference(transitivity,[status(thm)],[7057, 7187])).
% 5.08/5.26 tff(7645,plain,
% 5.08/5.26 (mult(a, mult(mult(mult(a, mult(c, b)), a), b)) = mult(a, mult(mult(a, mult(c, mult(a, b))), b))),
% 5.08/5.26 inference(monotonicity,[status(thm)],[7644])).
% 5.08/5.26 tff(7646,plain,
% 5.08/5.26 (mult(a, mult(mult(a, mult(c, mult(a, b))), b)) = mult(a, mult(mult(mult(a, mult(c, b)), a), b))),
% 5.08/5.26 inference(symmetry,[status(thm)],[7645])).
% 5.08/5.26 tff(7647,plain,
% 5.08/5.26 (mult(mult(b, mult(a, mult(a, c))), b) = mult(mult(a, mult(c, mult(a, b))), b)),
% 5.08/5.26 inference(transitivity,[status(thm)],[6798, 7187])).
% 5.08/5.26 tff(7648,plain,
% 5.08/5.26 (mult(a, mult(mult(b, mult(a, mult(a, c))), b)) = mult(a, mult(mult(a, mult(c, mult(a, b))), b))),
% 5.08/5.26 inference(monotonicity,[status(thm)],[7647])).
% 5.08/5.26 tff(7649,plain,
% 5.08/5.26 (mult(mult(mult(a, mult(c, b)), a), a) = mult(mult(mult(mult(a, b), c), a), a)),
% 5.08/5.26 inference(monotonicity,[status(thm)],[108])).
% 5.08/5.26 tff(7650,plain,
% 5.08/5.26 (mult(mult(mult(mult(a, mult(c, b)), a), a), b) = mult(mult(mult(mult(mult(a, b), c), a), a), b)),
% 5.08/5.26 inference(monotonicity,[status(thm)],[7649])).
% 5.08/5.26 tff(7651,assumption,(mult(mult(mult(mult(a, mult(c, b)), a), a), b) = mult(mult(mult(a, mult(c, b)), a), mult(b, a))), introduced(assumption)).
% 5.08/5.26 tff(7652,plain,
% 5.08/5.26 (mult(mult(mult(a, mult(c, b)), a), mult(b, a)) = mult(mult(mult(mult(a, mult(c, b)), a), a), b)),
% 5.08/5.26 inference(symmetry,[status(thm)],[7651])).
% 5.08/5.26 tff(7653,plain,
% 5.08/5.26 (mult(mult(mult(mult(a, b), c), a), mult(b, a)) = mult(mult(mult(a, mult(c, b)), a), mult(b, a))),
% 5.08/5.26 inference(monotonicity,[status(thm)],[107])).
% 5.08/5.26 tff(7654,plain,
% 5.08/5.26 (mult(mult(mult(mult(b, c), a), a), mult(b, a)) = mult(mult(mult(mult(a, b), c), a), mult(b, a))),
% 5.08/5.26 inference(monotonicity,[status(thm)],[6451])).
% 5.08/5.26 tff(7655,assumption,(mult(mult(mult(mult(b, c), a), a), mult(b, a)) = mult(mult(mult(b, c), a), mult(mult(b, a), a))), introduced(assumption)).
% 5.09/5.26 tff(7656,plain,
% 5.09/5.26 (mult(mult(mult(b, c), a), mult(mult(b, a), a)) = mult(mult(mult(mult(b, c), a), a), mult(b, a))),
% 5.09/5.26 inference(symmetry,[status(thm)],[7655])).
% 5.09/5.26 tff(7657,plain,
% 5.09/5.26 (mult(mult(mult(b, c), a), mult(mult(b, a), a)) = mult(mult(mult(b, c), a), mult(mult(a, a), b))),
% 5.09/5.26 inference(transitivity,[status(thm)],[7656, 7654, 7653, 7652, 7650, 7382, 5335, 7648, 7646, 7213, 7643, 7640, 7637, 7635, 7233])).
% 5.09/5.26 tff(7658,plain,
% 5.09/5.26 (ld(mult(mult(b, c), a), mult(mult(mult(b, c), a), mult(mult(b, a), a))) = ld(mult(mult(b, c), a), mult(mult(mult(b, c), a), mult(mult(a, a), b)))),
% 5.09/5.26 inference(monotonicity,[status(thm)],[7657])).
% 5.09/5.26 tff(7659,plain,
% 5.09/5.26 (mult(mult(b, a), a) = mult(mult(a, a), b)),
% 5.09/5.26 inference(transitivity,[status(thm)],[7550, 7658, 7231])).
% 5.09/5.26 tff(7660,plain,
% 5.09/5.26 (mult(c, mult(mult(b, a), a)) = mult(c, mult(mult(a, a), b))),
% 5.09/5.26 inference(monotonicity,[status(thm)],[7659])).
% 5.09/5.26 tff(7661,assumption,(mult(mult(c, a), mult(b, a)) = mult(c, mult(mult(b, a), a))), introduced(assumption)).
% 5.09/5.26 tff(7662,plain,
% 5.09/5.26 (mult(mult(c, a), mult(b, a)) = mult(mult(a, c), mult(a, b))),
% 5.09/5.26 inference(transitivity,[status(thm)],[7661, 7660, 6006, 6346, 5990, 594])).
% 5.09/5.26 tff(7663,plain,
% 5.09/5.26 (mult(mult(mult(c, a), mult(b, a)), a) = mult(mult(mult(a, c), mult(a, b)), a)),
% 5.09/5.26 inference(monotonicity,[status(thm)],[7662])).
% 5.09/5.26 tff(7664,plain,
% 5.09/5.26 (mult(mult(mult(a, c), mult(a, b)), a) = mult(mult(mult(c, a), mult(b, a)), a)),
% 5.09/5.26 inference(symmetry,[status(thm)],[7663])).
% 5.09/5.26 tff(7665,plain,
% 5.09/5.26 (mult(c, mult(mult(a, a), b)) = mult(mult(a, c), mult(a, b))),
% 5.09/5.26 inference(transitivity,[status(thm)],[6006, 6346, 5990, 594])).
% 5.09/5.26 tff(7666,plain,
% 5.09/5.26 (mult(mult(c, mult(mult(a, a), b)), a) = mult(mult(mult(a, c), mult(a, b)), a)),
% 5.09/5.26 inference(monotonicity,[status(thm)],[7665])).
% 5.09/5.26 tff(7667,plain,
% 5.09/5.26 (mult(mult(c, mult(mult(a, a), b)), a) = mult(c, mult(mult(mult(a, a), b), a))),
% 5.09/5.26 inference(transitivity,[status(thm)],[7666, 7664, 7632, 7630, 7628])).
% 5.09/5.26 tff(7668,assumption,(~(mult(mult(c, mult(mult(a, a), b)), a) = mult(c, mult(mult(mult(a, a), b), a)))), introduced(assumption)).
% 5.09/5.26 tff(7669,plain,
% 5.09/5.26 ($false),
% 5.09/5.26 inference(unit_resolution,[status(thm)],[7668, 7667])).
% 5.09/5.26 tff(7670,plain,((~(mult(mult(a, mult(b, a)), a) = mult(a, mult(a, mult(b, a))))) | (mult(mult(c, mult(mult(a, a), b)), a) = mult(c, mult(mult(mult(a, a), b), a))) | (~(mult(mult(mult(a, c), b), a) = mult(mult(a, c), mult(a, b)))) | (~(mult(mult(c, a), mult(b, a)) = mult(c, mult(mult(b, a), a)))) | (~(mult(mult(c, mult(a, b)), a) = mult(c, mult(a, mult(a, b))))) | (~(mult(mult(a, b), mult(a, c)) = mult(a, mult(mult(a, c), b)))) | (~(mult(mult(mult(a, b), c), a) = mult(mult(a, b), mult(a, c)))) | (~(mult(mult(a, mult(c, b)), a) = mult(a, mult(mult(c, b), a)))) | (~(mult(mult(c, b), a) = mult(c, mult(a, b)))) | (~(mult(mult(a, b), c) = mult(a, mult(c, b)))) | (~(mult(mult(mult(a, b), c), mult(mult(a, a), b)) = mult(mult(a, b), mult(mult(mult(a, a), b), c)))) | (~(mult(mult(a, b), mult(mult(a, mult(c, b)), a)) = mult(a, mult(mult(mult(a, mult(c, b)), a), b)))) | (~(mult(mult(mult(mult(b, c), a), a), mult(b, a)) = mult(mult(mult(b, c), a), mult(mult(b, a), a)))) | (~(mult(mult(mult(mult(a, mult(c, b)), a), a), b) = mult(mult(mult(a, mult(c, b)), a), mult(b, a)))) | (~(mult(mult(a, mult(b, c)), a) = mult(a, mult(mult(b, c), a)))) | (~(mult(mult(a, c), mult(a, b)) = mult(a, mult(mult(a, b), c)))) | (~(mult(mult(a, c), b) = mult(a, mult(b, c)))) | (~(mult(mult(mult(a, b), mult(a, c)), a) = mult(mult(a, b), mult(a, mult(a, c))))) | (~(mult(mult(a, mult(a, b)), c) = mult(a, mult(c, mult(a, b)))))), inference(lemma,lemma(discharge,[]))).
% 5.09/5.26 tff(7671,plain,
% 5.09/5.26 (~(mult(mult(a, mult(b, a)), a) = mult(a, mult(a, mult(b, a))))),
% 5.09/5.26 inference(unit_resolution,[status(thm)],[7670, 7617, 971, 7594, 6004, 5491, 5305, 4821, 5290, 91, 7495, 5966, 7544, 7227, 5309, 4654, 97, 5680, 4709])).
% 5.09/5.26 tff(7672,plain,
% 5.09/5.26 (((~(mult(mult(a, a), mult(b, a)) = mult(a, mult(mult(b, a), a)))) | (~(mult(mult(a, mult(b, a)), a) = mult(a, mult(a, mult(b, a)))))) | (mult(mult(a, mult(b, a)), a) = mult(a, mult(a, mult(b, a))))),
% 5.09/5.26 inference(tautology,[status(thm)],[])).
% 5.09/5.26 tff(7673,plain,
% 5.09/5.26 ((~(mult(mult(a, a), mult(b, a)) = mult(a, mult(mult(b, a), a)))) | (~(mult(mult(a, mult(b, a)), a) = mult(a, mult(a, mult(b, a)))))),
% 5.09/5.26 inference(unit_resolution,[status(thm)],[7672, 7671])).
% 5.09/5.26 tff(7674,plain,
% 5.09/5.26 (((~![X0: $i, X1: $i, X2: $i] : ((~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X2, X1)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X1, X2)))))) | (~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X1, X2)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X2, X1)))))))) | ((~((~(mult(mult(a, a), mult(b, a)) = mult(a, mult(mult(b, a), a)))) | (~(mult(mult(a, mult(b, a)), a) = mult(a, mult(a, mult(b, a))))))) | (~((~(mult(mult(a, a), mult(b, a)) = mult(a, mult(a, mult(b, a))))) | (~(mult(mult(a, mult(b, a)), a) = mult(a, mult(mult(b, a), a)))))))) <=> ((~![X0: $i, X1: $i, X2: $i] : ((~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X2, X1)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X1, X2)))))) | (~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X1, X2)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X2, X1)))))))) | (~((~(mult(mult(a, a), mult(b, a)) = mult(a, mult(mult(b, a), a)))) | (~(mult(mult(a, mult(b, a)), a) = mult(a, mult(a, mult(b, a))))))) | (~((~(mult(mult(a, a), mult(b, a)) = mult(a, mult(a, mult(b, a))))) | (~(mult(mult(a, mult(b, a)), a) = mult(a, mult(mult(b, a), a)))))))),
% 5.09/5.26 inference(rewrite,[status(thm)],[])).
% 5.09/5.26 tff(7675,plain,
% 5.09/5.26 ((~![X0: $i, X1: $i, X2: $i] : ((~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X2, X1)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X1, X2)))))) | (~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X1, X2)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X2, X1)))))))) | ((~((~(mult(mult(a, a), mult(b, a)) = mult(a, mult(mult(b, a), a)))) | (~(mult(mult(a, mult(b, a)), a) = mult(a, mult(a, mult(b, a))))))) | (~((~(mult(mult(a, a), mult(b, a)) = mult(a, mult(a, mult(b, a))))) | (~(mult(mult(a, mult(b, a)), a) = mult(a, mult(mult(b, a), a)))))))),
% 5.09/5.26 inference(quant_inst,[status(thm)],[])).
% 5.09/5.26 tff(7676,plain,
% 5.09/5.26 ((~![X0: $i, X1: $i, X2: $i] : ((~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X2, X1)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X1, X2)))))) | (~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X1, X2)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X2, X1)))))))) | (~((~(mult(mult(a, a), mult(b, a)) = mult(a, mult(mult(b, a), a)))) | (~(mult(mult(a, mult(b, a)), a) = mult(a, mult(a, mult(b, a))))))) | (~((~(mult(mult(a, a), mult(b, a)) = mult(a, mult(a, mult(b, a))))) | (~(mult(mult(a, mult(b, a)), a) = mult(a, mult(mult(b, a), a))))))),
% 5.09/5.26 inference(modus_ponens,[status(thm)],[7675, 7674])).
% 5.09/5.26 tff(7677,plain,
% 5.09/5.26 ((~((~(mult(mult(a, a), mult(b, a)) = mult(a, mult(mult(b, a), a)))) | (~(mult(mult(a, mult(b, a)), a) = mult(a, mult(a, mult(b, a))))))) | (~((~(mult(mult(a, a), mult(b, a)) = mult(a, mult(a, mult(b, a))))) | (~(mult(mult(a, mult(b, a)), a) = mult(a, mult(mult(b, a), a))))))),
% 5.09/5.26 inference(unit_resolution,[status(thm)],[7676, 30])).
% 5.09/5.26 tff(7678,plain,
% 5.09/5.26 (~((~(mult(mult(a, a), mult(b, a)) = mult(a, mult(a, mult(b, a))))) | (~(mult(mult(a, mult(b, a)), a) = mult(a, mult(mult(b, a), a)))))),
% 5.09/5.26 inference(unit_resolution,[status(thm)],[7677, 7673])).
% 5.09/5.26 tff(7679,plain,
% 5.09/5.26 (((~(mult(mult(a, a), mult(b, a)) = mult(a, mult(a, mult(b, a))))) | (~(mult(mult(a, mult(b, a)), a) = mult(a, mult(mult(b, a), a))))) | (mult(mult(a, mult(b, a)), a) = mult(a, mult(mult(b, a), a)))),
% 5.09/5.26 inference(tautology,[status(thm)],[])).
% 5.09/5.26 tff(7680,plain,
% 5.09/5.26 (mult(mult(a, mult(b, a)), a) = mult(a, mult(mult(b, a), a))),
% 5.09/5.26 inference(unit_resolution,[status(thm)],[7679, 7678])).
% 5.09/5.26 tff(7681,plain,
% 5.09/5.26 (~((~(mult(mult(mult(mult(b, c), a), mult(a, b)), a) = mult(mult(mult(b, c), a), mult(a, mult(a, b))))) | (~(mult(mult(mult(mult(b, c), a), a), mult(a, b)) = mult(mult(mult(b, c), a), mult(mult(a, b), a)))))),
% 5.09/5.26 inference(unit_resolution,[status(thm)],[6407, 7478])).
% 5.09/5.26 tff(7682,plain,
% 5.09/5.26 (mult(mult(mult(mult(b, c), a), mult(a, b)), a) = mult(mult(mult(b, c), a), mult(a, mult(a, b)))),
% 5.09/5.26 inference(unit_resolution,[status(thm)],[7481, 7681])).
% 5.09/5.26 tff(7683,plain,
% 5.09/5.26 ((~![C: $i, B: $i, A: $i] : (mult(mult(mult(A, B), C), B) = mult(A, mult(mult(B, C), B)))) | (mult(mult(mult(mult(b, c), a), mult(a, b)), a) = mult(mult(b, c), mult(mult(a, mult(a, b)), a)))),
% 5.09/5.26 inference(quant_inst,[status(thm)],[])).
% 5.09/5.26 tff(7684,plain,
% 5.09/5.26 (mult(mult(mult(mult(b, c), a), mult(a, b)), a) = mult(mult(b, c), mult(mult(a, mult(a, b)), a))),
% 5.09/5.26 inference(unit_resolution,[status(thm)],[7683, 860])).
% 5.09/5.26 tff(7685,plain,
% 5.09/5.26 (mult(mult(b, c), mult(mult(a, mult(a, b)), a)) = mult(mult(mult(mult(b, c), a), mult(a, b)), a)),
% 5.09/5.26 inference(symmetry,[status(thm)],[7684])).
% 5.09/5.26 tff(7686,plain,
% 5.09/5.26 (mult(mult(a, mult(a, b)), a) = mult(mult(mult(a, a), b), a)),
% 5.09/5.26 inference(monotonicity,[status(thm)],[6193])).
% 5.09/5.26 tff(7687,plain,
% 5.09/5.26 (mult(mult(mult(a, a), b), a) = mult(mult(a, mult(a, b)), a)),
% 5.09/5.26 inference(symmetry,[status(thm)],[7686])).
% 5.09/5.26 tff(7688,plain,
% 5.09/5.26 (mult(a, mult(mult(a, b), a)) = mult(mult(mult(a, a), b), a)),
% 5.09/5.26 inference(symmetry,[status(thm)],[7625])).
% 5.09/5.26 tff(7689,plain,
% 5.09/5.26 (mult(a, mult(mult(a, b), a)) = mult(mult(a, mult(a, b)), a)),
% 5.09/5.26 inference(transitivity,[status(thm)],[7688, 7687])).
% 5.09/5.26 tff(7690,plain,
% 5.09/5.26 (mult(mult(b, c), mult(a, mult(mult(a, b), a))) = mult(mult(b, c), mult(mult(a, mult(a, b)), a))),
% 5.09/5.26 inference(monotonicity,[status(thm)],[7689])).
% 5.09/5.26 tff(7691,plain,
% 5.09/5.26 (mult(mult(b, c), mult(a, mult(mult(a, b), a))) = mult(mult(mult(b, c), a), mult(a, mult(a, b)))),
% 5.09/5.26 inference(transitivity,[status(thm)],[7690, 7685, 7682])).
% 5.09/5.26 tff(7692,plain,
% 5.09/5.26 ((mult(mult(mult(b, c), a), mult(mult(a, b), a)) = mult(mult(b, c), mult(a, mult(mult(a, b), a)))) <=> (mult(mult(mult(mult(b, c), a), a), mult(a, b)) = mult(mult(mult(b, c), a), mult(a, mult(a, b))))),
% 5.09/5.26 inference(monotonicity,[status(thm)],[7522, 7691])).
% 5.09/5.26 tff(7693,plain,
% 5.09/5.26 ((mult(mult(mult(mult(b, c), a), a), mult(a, b)) = mult(mult(mult(b, c), a), mult(a, mult(a, b)))) <=> (mult(mult(mult(b, c), a), mult(mult(a, b), a)) = mult(mult(b, c), mult(a, mult(mult(a, b), a))))),
% 5.09/5.26 inference(symmetry,[status(thm)],[7692])).
% 5.09/5.26 tff(7694,plain,
% 5.09/5.26 ((~(mult(mult(mult(mult(b, c), a), a), mult(a, b)) = mult(mult(mult(b, c), a), mult(a, mult(a, b))))) <=> (~(mult(mult(mult(b, c), a), mult(mult(a, b), a)) = mult(mult(b, c), mult(a, mult(mult(a, b), a)))))),
% 5.09/5.26 inference(monotonicity,[status(thm)],[7693])).
% 5.09/5.26 tff(7695,plain,
% 5.09/5.26 (~(mult(mult(mult(b, c), a), mult(mult(a, b), a)) = mult(mult(b, c), mult(a, mult(mult(a, b), a))))),
% 5.09/5.26 inference(modus_ponens,[status(thm)],[7491, 7694])).
% 5.09/5.26 tff(7696,plain,
% 5.09/5.26 (((~(mult(mult(mult(b, c), mult(mult(a, b), a)), a) = mult(mult(b, c), mult(mult(mult(a, b), a), a)))) | (~(mult(mult(mult(b, c), a), mult(mult(a, b), a)) = mult(mult(b, c), mult(a, mult(mult(a, b), a)))))) | (mult(mult(mult(b, c), a), mult(mult(a, b), a)) = mult(mult(b, c), mult(a, mult(mult(a, b), a))))),
% 5.09/5.26 inference(tautology,[status(thm)],[])).
% 5.09/5.26 tff(7697,plain,
% 5.09/5.26 ((~(mult(mult(mult(b, c), mult(mult(a, b), a)), a) = mult(mult(b, c), mult(mult(mult(a, b), a), a)))) | (~(mult(mult(mult(b, c), a), mult(mult(a, b), a)) = mult(mult(b, c), mult(a, mult(mult(a, b), a)))))),
% 5.09/5.26 inference(unit_resolution,[status(thm)],[7696, 7695])).
% 5.09/5.26 tff(7698,plain,
% 5.09/5.26 (((~![X0: $i, X1: $i, X2: $i] : ((~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X2, X1)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X1, X2)))))) | (~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X1, X2)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X2, X1)))))))) | ((~((~(mult(mult(mult(b, c), a), mult(mult(a, b), a)) = mult(mult(b, c), mult(mult(mult(a, b), a), a)))) | (~(mult(mult(mult(b, c), mult(mult(a, b), a)), a) = mult(mult(b, c), mult(a, mult(mult(a, b), a))))))) | (~((~(mult(mult(mult(b, c), mult(mult(a, b), a)), a) = mult(mult(b, c), mult(mult(mult(a, b), a), a)))) | (~(mult(mult(mult(b, c), a), mult(mult(a, b), a)) = mult(mult(b, c), mult(a, mult(mult(a, b), a))))))))) <=> ((~![X0: $i, X1: $i, X2: $i] : ((~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X2, X1)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X1, X2)))))) | (~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X1, X2)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X2, X1)))))))) | (~((~(mult(mult(mult(b, c), a), mult(mult(a, b), a)) = mult(mult(b, c), mult(mult(mult(a, b), a), a)))) | (~(mult(mult(mult(b, c), mult(mult(a, b), a)), a) = mult(mult(b, c), mult(a, mult(mult(a, b), a))))))) | (~((~(mult(mult(mult(b, c), mult(mult(a, b), a)), a) = mult(mult(b, c), mult(mult(mult(a, b), a), a)))) | (~(mult(mult(mult(b, c), a), mult(mult(a, b), a)) = mult(mult(b, c), mult(a, mult(mult(a, b), a))))))))),
% 5.09/5.27 inference(rewrite,[status(thm)],[])).
% 5.09/5.27 tff(7699,plain,
% 5.09/5.27 (((~((~(mult(mult(mult(b, c), mult(mult(a, b), a)), a) = mult(mult(b, c), mult(a, mult(mult(a, b), a))))) | (~(mult(mult(mult(b, c), a), mult(mult(a, b), a)) = mult(mult(b, c), mult(mult(mult(a, b), a), a)))))) | (~((~(mult(mult(mult(b, c), mult(mult(a, b), a)), a) = mult(mult(b, c), mult(mult(mult(a, b), a), a)))) | (~(mult(mult(mult(b, c), a), mult(mult(a, b), a)) = mult(mult(b, c), mult(a, mult(mult(a, b), a)))))))) <=> ((~((~(mult(mult(mult(b, c), a), mult(mult(a, b), a)) = mult(mult(b, c), mult(mult(mult(a, b), a), a)))) | (~(mult(mult(mult(b, c), mult(mult(a, b), a)), a) = mult(mult(b, c), mult(a, mult(mult(a, b), a))))))) | (~((~(mult(mult(mult(b, c), mult(mult(a, b), a)), a) = mult(mult(b, c), mult(mult(mult(a, b), a), a)))) | (~(mult(mult(mult(b, c), a), mult(mult(a, b), a)) = mult(mult(b, c), mult(a, mult(mult(a, b), a))))))))),
% 5.09/5.27 inference(rewrite,[status(thm)],[])).
% 5.09/5.27 tff(7700,plain,
% 5.09/5.27 (((~![X0: $i, X1: $i, X2: $i] : ((~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X2, X1)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X1, X2)))))) | (~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X1, X2)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X2, X1)))))))) | ((~((~(mult(mult(mult(b, c), mult(mult(a, b), a)), a) = mult(mult(b, c), mult(a, mult(mult(a, b), a))))) | (~(mult(mult(mult(b, c), a), mult(mult(a, b), a)) = mult(mult(b, c), mult(mult(mult(a, b), a), a)))))) | (~((~(mult(mult(mult(b, c), mult(mult(a, b), a)), a) = mult(mult(b, c), mult(mult(mult(a, b), a), a)))) | (~(mult(mult(mult(b, c), a), mult(mult(a, b), a)) = mult(mult(b, c), mult(a, mult(mult(a, b), a))))))))) <=> ((~![X0: $i, X1: $i, X2: $i] : ((~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X2, X1)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X1, X2)))))) | (~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X1, X2)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X2, X1)))))))) | ((~((~(mult(mult(mult(b, c), a), mult(mult(a, b), a)) = mult(mult(b, c), mult(mult(mult(a, b), a), a)))) | (~(mult(mult(mult(b, c), mult(mult(a, b), a)), a) = mult(mult(b, c), mult(a, mult(mult(a, b), a))))))) | (~((~(mult(mult(mult(b, c), mult(mult(a, b), a)), a) = mult(mult(b, c), mult(mult(mult(a, b), a), a)))) | (~(mult(mult(mult(b, c), a), mult(mult(a, b), a)) = mult(mult(b, c), mult(a, mult(mult(a, b), a)))))))))),
% 5.09/5.27 inference(monotonicity,[status(thm)],[7699])).
% 5.09/5.27 tff(7701,plain,
% 5.09/5.27 (((~![X0: $i, X1: $i, X2: $i] : ((~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X2, X1)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X1, X2)))))) | (~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X1, X2)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X2, X1)))))))) | ((~((~(mult(mult(mult(b, c), mult(mult(a, b), a)), a) = mult(mult(b, c), mult(a, mult(mult(a, b), a))))) | (~(mult(mult(mult(b, c), a), mult(mult(a, b), a)) = mult(mult(b, c), mult(mult(mult(a, b), a), a)))))) | (~((~(mult(mult(mult(b, c), mult(mult(a, b), a)), a) = mult(mult(b, c), mult(mult(mult(a, b), a), a)))) | (~(mult(mult(mult(b, c), a), mult(mult(a, b), a)) = mult(mult(b, c), mult(a, mult(mult(a, b), a))))))))) <=> ((~![X0: $i, X1: $i, X2: $i] : ((~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X2, X1)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X1, X2)))))) | (~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X1, X2)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X2, X1)))))))) | (~((~(mult(mult(mult(b, c), a), mult(mult(a, b), a)) = mult(mult(b, c), mult(mult(mult(a, b), a), a)))) | (~(mult(mult(mult(b, c), mult(mult(a, b), a)), a) = mult(mult(b, c), mult(a, mult(mult(a, b), a))))))) | (~((~(mult(mult(mult(b, c), mult(mult(a, b), a)), a) = mult(mult(b, c), mult(mult(mult(a, b), a), a)))) | (~(mult(mult(mult(b, c), a), mult(mult(a, b), a)) = mult(mult(b, c), mult(a, mult(mult(a, b), a))))))))),
% 5.09/5.27 inference(transitivity,[status(thm)],[7700, 7698])).
% 5.09/5.27 tff(7702,plain,
% 5.09/5.27 ((~![X0: $i, X1: $i, X2: $i] : ((~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X2, X1)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X1, X2)))))) | (~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X1, X2)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X2, X1)))))))) | ((~((~(mult(mult(mult(b, c), mult(mult(a, b), a)), a) = mult(mult(b, c), mult(a, mult(mult(a, b), a))))) | (~(mult(mult(mult(b, c), a), mult(mult(a, b), a)) = mult(mult(b, c), mult(mult(mult(a, b), a), a)))))) | (~((~(mult(mult(mult(b, c), mult(mult(a, b), a)), a) = mult(mult(b, c), mult(mult(mult(a, b), a), a)))) | (~(mult(mult(mult(b, c), a), mult(mult(a, b), a)) = mult(mult(b, c), mult(a, mult(mult(a, b), a))))))))),
% 5.09/5.27 inference(quant_inst,[status(thm)],[])).
% 5.09/5.27 tff(7703,plain,
% 5.09/5.27 ((~![X0: $i, X1: $i, X2: $i] : ((~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X2, X1)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X1, X2)))))) | (~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X1, X2)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X2, X1)))))))) | (~((~(mult(mult(mult(b, c), a), mult(mult(a, b), a)) = mult(mult(b, c), mult(mult(mult(a, b), a), a)))) | (~(mult(mult(mult(b, c), mult(mult(a, b), a)), a) = mult(mult(b, c), mult(a, mult(mult(a, b), a))))))) | (~((~(mult(mult(mult(b, c), mult(mult(a, b), a)), a) = mult(mult(b, c), mult(mult(mult(a, b), a), a)))) | (~(mult(mult(mult(b, c), a), mult(mult(a, b), a)) = mult(mult(b, c), mult(a, mult(mult(a, b), a)))))))),
% 5.09/5.27 inference(modus_ponens,[status(thm)],[7702, 7701])).
% 5.09/5.27 tff(7704,plain,
% 5.09/5.27 ((~((~(mult(mult(mult(b, c), a), mult(mult(a, b), a)) = mult(mult(b, c), mult(mult(mult(a, b), a), a)))) | (~(mult(mult(mult(b, c), mult(mult(a, b), a)), a) = mult(mult(b, c), mult(a, mult(mult(a, b), a))))))) | (~((~(mult(mult(mult(b, c), mult(mult(a, b), a)), a) = mult(mult(b, c), mult(mult(mult(a, b), a), a)))) | (~(mult(mult(mult(b, c), a), mult(mult(a, b), a)) = mult(mult(b, c), mult(a, mult(mult(a, b), a)))))))),
% 5.09/5.27 inference(unit_resolution,[status(thm)],[7703, 30])).
% 5.09/5.27 tff(7705,plain,
% 5.09/5.27 (~((~(mult(mult(mult(b, c), a), mult(mult(a, b), a)) = mult(mult(b, c), mult(mult(mult(a, b), a), a)))) | (~(mult(mult(mult(b, c), mult(mult(a, b), a)), a) = mult(mult(b, c), mult(a, mult(mult(a, b), a))))))),
% 5.09/5.27 inference(unit_resolution,[status(thm)],[7704, 7697])).
% 5.09/5.27 tff(7706,plain,
% 5.09/5.27 (((~(mult(mult(mult(b, c), a), mult(mult(a, b), a)) = mult(mult(b, c), mult(mult(mult(a, b), a), a)))) | (~(mult(mult(mult(b, c), mult(mult(a, b), a)), a) = mult(mult(b, c), mult(a, mult(mult(a, b), a)))))) | (mult(mult(mult(b, c), a), mult(mult(a, b), a)) = mult(mult(b, c), mult(mult(mult(a, b), a), a)))),
% 5.09/5.27 inference(tautology,[status(thm)],[])).
% 5.09/5.27 tff(7707,plain,
% 5.09/5.27 (mult(mult(mult(b, c), a), mult(mult(a, b), a)) = mult(mult(b, c), mult(mult(mult(a, b), a), a))),
% 5.09/5.27 inference(unit_resolution,[status(thm)],[7706, 7705])).
% 5.09/5.27 tff(7708,plain,
% 5.09/5.27 (mult(a, mult(mult(a, mult(c, mult(a, b))), b)) = mult(a, mult(a, mult(mult(mult(b, c), a), b)))),
% 5.09/5.27 inference(symmetry,[status(thm)],[7191])).
% 5.09/5.27 tff(7709,assumption,(mult(mult(mult(mult(b, c), a), mult(a, b)), a) = mult(mult(mult(b, c), a), mult(a, mult(a, b)))), introduced(assumption)).
% 5.09/5.27 tff(7710,plain,
% 5.09/5.27 (mult(mult(mult(a, b), c), b) = mult(mult(mult(b, c), a), b)),
% 5.09/5.27 inference(monotonicity,[status(thm)],[6433])).
% 5.09/5.27 tff(7711,plain,
% 5.09/5.27 (mult(a, mult(mult(b, c), b)) = mult(mult(mult(b, c), a), b)),
% 5.09/5.27 inference(transitivity,[status(thm)],[6284, 7710])).
% 5.09/5.27 tff(7712,plain,
% 5.09/5.27 (mult(mult(a, mult(mult(b, c), b)), a) = mult(mult(mult(mult(b, c), a), b), a)),
% 5.09/5.27 inference(monotonicity,[status(thm)],[7711])).
% 5.09/5.27 tff(7713,plain,
% 5.09/5.27 (mult(mult(mult(mult(b, c), a), b), a) = mult(mult(a, mult(mult(b, c), b)), a)),
% 5.09/5.27 inference(symmetry,[status(thm)],[7712])).
% 5.09/5.27 tff(7714,plain,
% 5.09/5.27 (mult(a, mult(mult(mult(mult(b, c), a), b), a)) = mult(a, mult(mult(a, mult(mult(b, c), b)), a))),
% 5.09/5.27 inference(monotonicity,[status(thm)],[7713])).
% 5.09/5.27 tff(7715,plain,
% 5.09/5.27 (mult(a, mult(mult(a, mult(mult(b, c), b)), a)) = mult(a, mult(mult(mult(mult(b, c), a), b), a))),
% 5.09/5.27 inference(symmetry,[status(thm)],[7714])).
% 5.09/5.27 tff(7716,plain,
% 5.09/5.27 (mult(mult(mult(mult(a, a), b), c), b) = mult(mult(mult(mult(a, b), c), a), b)),
% 5.09/5.27 inference(monotonicity,[status(thm)],[5537])).
% 5.09/5.27 tff(7717,plain,
% 5.09/5.27 (mult(mult(a, a), mult(mult(b, c), b)) = mult(mult(mult(mult(a, b), c), a), b)),
% 5.09/5.27 inference(transitivity,[status(thm)],[6292, 7716])).
% 5.09/5.27 tff(7718,plain,
% 5.09/5.27 (mult(mult(mult(a, a), mult(mult(b, c), b)), a) = mult(mult(mult(mult(mult(a, b), c), a), b), a)),
% 5.09/5.27 inference(monotonicity,[status(thm)],[7717])).
% 5.09/5.27 tff(7719,plain,
% 5.09/5.27 (mult(mult(mult(mult(mult(a, b), c), a), b), a) = mult(mult(mult(a, a), mult(mult(b, c), b)), a)),
% 5.09/5.27 inference(symmetry,[status(thm)],[7718])).
% 5.09/5.27 tff(7720,plain,
% 5.09/5.27 (mult(mult(mult(mult(a, b), c), a), b) = mult(mult(mult(mult(b, c), a), a), b)),
% 5.09/5.27 inference(symmetry,[status(thm)],[6452])).
% 5.09/5.27 tff(7721,plain,
% 5.09/5.27 (mult(mult(mult(mult(mult(a, b), c), a), b), a) = mult(mult(mult(mult(mult(b, c), a), a), b), a)),
% 5.09/5.27 inference(monotonicity,[status(thm)],[7720])).
% 5.09/5.27 tff(7722,plain,
% 5.09/5.27 (mult(mult(mult(mult(mult(b, c), a), a), b), a) = mult(mult(mult(mult(mult(a, b), c), a), b), a)),
% 5.09/5.27 inference(symmetry,[status(thm)],[7721])).
% 5.09/5.27 tff(7723,plain,
% 5.09/5.27 (mult(mult(a, mult(a, b)), c) = mult(mult(mult(a, b), c), a)),
% 5.09/5.27 inference(transitivity,[status(thm)],[269, 1414, 708, 108])).
% 5.09/5.27 tff(7724,plain,
% 5.09/5.27 (mult(mult(mult(a, mult(a, b)), c), mult(a, b)) = mult(mult(mult(mult(a, b), c), a), mult(a, b))),
% 5.09/5.27 inference(monotonicity,[status(thm)],[7723])).
% 5.09/5.27 tff(7725,plain,
% 5.09/5.27 (mult(mult(mult(b, c), a), mult(a, b)) = mult(mult(mult(a, b), c), mult(a, b))),
% 5.09/5.27 inference(symmetry,[status(thm)],[6459])).
% 5.09/5.27 tff(7726,plain,
% 5.09/5.27 (mult(a, mult(mult(mult(b, c), a), mult(a, b))) = mult(a, mult(mult(mult(a, b), c), mult(a, b)))),
% 5.09/5.27 inference(monotonicity,[status(thm)],[7725])).
% 5.09/5.27 tff(7727,plain,
% 5.09/5.27 (mult(a, mult(mult(mult(b, c), a), mult(a, b))) = mult(a, mult(mult(mult(mult(b, c), a), b), a))),
% 5.09/5.27 inference(transitivity,[status(thm)],[7726, 6128, 7724, 7206, 6666, 6049, 7722, 7719, 6884, 7715])).
% 5.09/5.27 tff(7728,plain,
% 5.09/5.27 (ld(a, mult(a, mult(mult(mult(b, c), a), mult(a, b)))) = ld(a, mult(a, mult(mult(mult(mult(b, c), a), b), a)))),
% 5.09/5.27 inference(monotonicity,[status(thm)],[7727])).
% 5.09/5.27 tff(7729,plain,
% 5.09/5.27 (ld(a, mult(a, mult(mult(mult(mult(b, c), a), b), a))) = ld(a, mult(a, mult(mult(mult(b, c), a), mult(a, b))))),
% 5.09/5.27 inference(symmetry,[status(thm)],[7728])).
% 5.09/5.27 tff(7730,plain,
% 5.09/5.27 (mult(mult(mult(mult(b, c), a), b), a) = mult(mult(mult(b, c), a), mult(a, b))),
% 5.09/5.27 inference(transitivity,[status(thm)],[6895, 7729, 6865])).
% 5.09/5.27 tff(7731,plain,
% 5.09/5.27 (mult(mult(mult(mult(mult(b, c), a), b), a), a) = mult(mult(mult(mult(b, c), a), mult(a, b)), a)),
% 5.09/5.27 inference(monotonicity,[status(thm)],[7730])).
% 5.09/5.27 tff(7732,plain,
% 5.09/5.27 (((~![X0: $i, X1: $i, X2: $i] : ((~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X2, X1)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X1, X2)))))) | (~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X1, X2)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X2, X1)))))))) | (mult(mult(mult(mult(mult(b, c), a), b), a), a) = mult(mult(mult(mult(b, c), a), b), mult(a, a)))) <=> ((~![X0: $i, X1: $i, X2: $i] : ((~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X2, X1)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X1, X2)))))) | (~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X1, X2)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X2, X1)))))))) | (mult(mult(mult(mult(mult(b, c), a), b), a), a) = mult(mult(mult(mult(b, c), a), b), mult(a, a))))),
% 5.09/5.27 inference(rewrite,[status(thm)],[])).
% 5.09/5.27 tff(7733,plain,
% 5.09/5.27 (((mult(mult(mult(mult(mult(b, c), a), b), a), a) = mult(mult(mult(mult(b, c), a), b), mult(a, a))) | (mult(mult(mult(mult(mult(b, c), a), b), a), a) = mult(mult(mult(mult(b, c), a), b), mult(a, a)))) <=> (mult(mult(mult(mult(mult(b, c), a), b), a), a) = mult(mult(mult(mult(b, c), a), b), mult(a, a)))),
% 5.09/5.27 inference(rewrite,[status(thm)],[])).
% 5.09/5.27 tff(7734,plain,
% 5.09/5.27 ((~(~(mult(mult(mult(mult(mult(b, c), a), b), a), a) = mult(mult(mult(mult(b, c), a), b), mult(a, a))))) <=> (mult(mult(mult(mult(mult(b, c), a), b), a), a) = mult(mult(mult(mult(b, c), a), b), mult(a, a)))),
% 5.09/5.27 inference(rewrite,[status(thm)],[])).
% 5.09/5.27 tff(7735,plain,
% 5.09/5.27 (((~(mult(mult(mult(mult(mult(b, c), a), b), a), a) = mult(mult(mult(mult(b, c), a), b), mult(a, a)))) | (~(mult(mult(mult(mult(mult(b, c), a), b), a), a) = mult(mult(mult(mult(b, c), a), b), mult(a, a))))) <=> (~(mult(mult(mult(mult(mult(b, c), a), b), a), a) = mult(mult(mult(mult(b, c), a), b), mult(a, a))))),
% 5.09/5.27 inference(rewrite,[status(thm)],[])).
% 5.09/5.27 tff(7736,plain,
% 5.09/5.27 ((~((~(mult(mult(mult(mult(mult(b, c), a), b), a), a) = mult(mult(mult(mult(b, c), a), b), mult(a, a)))) | (~(mult(mult(mult(mult(mult(b, c), a), b), a), a) = mult(mult(mult(mult(b, c), a), b), mult(a, a)))))) <=> (~(~(mult(mult(mult(mult(mult(b, c), a), b), a), a) = mult(mult(mult(mult(b, c), a), b), mult(a, a)))))),
% 5.09/5.27 inference(monotonicity,[status(thm)],[7735])).
% 5.09/5.27 tff(7737,plain,
% 5.09/5.27 ((~((~(mult(mult(mult(mult(mult(b, c), a), b), a), a) = mult(mult(mult(mult(b, c), a), b), mult(a, a)))) | (~(mult(mult(mult(mult(mult(b, c), a), b), a), a) = mult(mult(mult(mult(b, c), a), b), mult(a, a)))))) <=> (mult(mult(mult(mult(mult(b, c), a), b), a), a) = mult(mult(mult(mult(b, c), a), b), mult(a, a)))),
% 5.09/5.27 inference(transitivity,[status(thm)],[7736, 7734])).
% 5.09/5.27 tff(7738,plain,
% 5.09/5.27 (((~((~(mult(mult(mult(mult(mult(b, c), a), b), a), a) = mult(mult(mult(mult(b, c), a), b), mult(a, a)))) | (~(mult(mult(mult(mult(mult(b, c), a), b), a), a) = mult(mult(mult(mult(b, c), a), b), mult(a, a)))))) | (~((~(mult(mult(mult(mult(mult(b, c), a), b), a), a) = mult(mult(mult(mult(b, c), a), b), mult(a, a)))) | (~(mult(mult(mult(mult(mult(b, c), a), b), a), a) = mult(mult(mult(mult(b, c), a), b), mult(a, a))))))) <=> ((mult(mult(mult(mult(mult(b, c), a), b), a), a) = mult(mult(mult(mult(b, c), a), b), mult(a, a))) | (mult(mult(mult(mult(mult(b, c), a), b), a), a) = mult(mult(mult(mult(b, c), a), b), mult(a, a))))),
% 5.09/5.27 inference(monotonicity,[status(thm)],[7737, 7737])).
% 5.09/5.27 tff(7739,plain,
% 5.09/5.27 (((~((~(mult(mult(mult(mult(mult(b, c), a), b), a), a) = mult(mult(mult(mult(b, c), a), b), mult(a, a)))) | (~(mult(mult(mult(mult(mult(b, c), a), b), a), a) = mult(mult(mult(mult(b, c), a), b), mult(a, a)))))) | (~((~(mult(mult(mult(mult(mult(b, c), a), b), a), a) = mult(mult(mult(mult(b, c), a), b), mult(a, a)))) | (~(mult(mult(mult(mult(mult(b, c), a), b), a), a) = mult(mult(mult(mult(b, c), a), b), mult(a, a))))))) <=> (mult(mult(mult(mult(mult(b, c), a), b), a), a) = mult(mult(mult(mult(b, c), a), b), mult(a, a)))),
% 5.09/5.27 inference(transitivity,[status(thm)],[7738, 7733])).
% 5.09/5.27 tff(7740,plain,
% 5.09/5.27 (((~![X0: $i, X1: $i, X2: $i] : ((~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X2, X1)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X1, X2)))))) | (~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X1, X2)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X2, X1)))))))) | ((~((~(mult(mult(mult(mult(mult(b, c), a), b), a), a) = mult(mult(mult(mult(b, c), a), b), mult(a, a)))) | (~(mult(mult(mult(mult(mult(b, c), a), b), a), a) = mult(mult(mult(mult(b, c), a), b), mult(a, a)))))) | (~((~(mult(mult(mult(mult(mult(b, c), a), b), a), a) = mult(mult(mult(mult(b, c), a), b), mult(a, a)))) | (~(mult(mult(mult(mult(mult(b, c), a), b), a), a) = mult(mult(mult(mult(b, c), a), b), mult(a, a)))))))) <=> ((~![X0: $i, X1: $i, X2: $i] : ((~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X2, X1)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X1, X2)))))) | (~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X1, X2)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X2, X1)))))))) | (mult(mult(mult(mult(mult(b, c), a), b), a), a) = mult(mult(mult(mult(b, c), a), b), mult(a, a))))),
% 5.09/5.27 inference(monotonicity,[status(thm)],[7739])).
% 5.09/5.27 tff(7741,plain,
% 5.09/5.27 (((~![X0: $i, X1: $i, X2: $i] : ((~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X2, X1)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X1, X2)))))) | (~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X1, X2)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X2, X1)))))))) | ((~((~(mult(mult(mult(mult(mult(b, c), a), b), a), a) = mult(mult(mult(mult(b, c), a), b), mult(a, a)))) | (~(mult(mult(mult(mult(mult(b, c), a), b), a), a) = mult(mult(mult(mult(b, c), a), b), mult(a, a)))))) | (~((~(mult(mult(mult(mult(mult(b, c), a), b), a), a) = mult(mult(mult(mult(b, c), a), b), mult(a, a)))) | (~(mult(mult(mult(mult(mult(b, c), a), b), a), a) = mult(mult(mult(mult(b, c), a), b), mult(a, a)))))))) <=> ((~![X0: $i, X1: $i, X2: $i] : ((~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X2, X1)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X1, X2)))))) | (~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X1, X2)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X2, X1)))))))) | (mult(mult(mult(mult(mult(b, c), a), b), a), a) = mult(mult(mult(mult(b, c), a), b), mult(a, a))))),
% 5.09/5.27 inference(transitivity,[status(thm)],[7740, 7732])).
% 5.09/5.27 tff(7742,plain,
% 5.09/5.27 ((~![X0: $i, X1: $i, X2: $i] : ((~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X2, X1)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X1, X2)))))) | (~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X1, X2)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X2, X1)))))))) | ((~((~(mult(mult(mult(mult(mult(b, c), a), b), a), a) = mult(mult(mult(mult(b, c), a), b), mult(a, a)))) | (~(mult(mult(mult(mult(mult(b, c), a), b), a), a) = mult(mult(mult(mult(b, c), a), b), mult(a, a)))))) | (~((~(mult(mult(mult(mult(mult(b, c), a), b), a), a) = mult(mult(mult(mult(b, c), a), b), mult(a, a)))) | (~(mult(mult(mult(mult(mult(b, c), a), b), a), a) = mult(mult(mult(mult(b, c), a), b), mult(a, a)))))))),
% 5.09/5.27 inference(quant_inst,[status(thm)],[])).
% 5.09/5.27 tff(7743,plain,
% 5.09/5.27 ((~![X0: $i, X1: $i, X2: $i] : ((~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X2, X1)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X1, X2)))))) | (~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X1, X2)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X2, X1)))))))) | (mult(mult(mult(mult(mult(b, c), a), b), a), a) = mult(mult(mult(mult(b, c), a), b), mult(a, a)))),
% 5.09/5.27 inference(modus_ponens,[status(thm)],[7742, 7741])).
% 5.09/5.27 tff(7744,plain,
% 5.09/5.27 (mult(mult(mult(mult(mult(b, c), a), b), a), a) = mult(mult(mult(mult(b, c), a), b), mult(a, a))),
% 5.09/5.27 inference(unit_resolution,[status(thm)],[7743, 30])).
% 5.09/5.27 tff(7745,plain,
% 5.09/5.27 (mult(mult(mult(mult(b, c), a), b), mult(a, a)) = mult(mult(mult(mult(mult(b, c), a), b), a), a)),
% 5.09/5.27 inference(symmetry,[status(thm)],[7744])).
% 5.09/5.27 tff(7746,plain,
% 5.09/5.27 (mult(mult(a, mult(mult(b, c), b)), mult(a, a)) = mult(mult(mult(mult(b, c), a), b), mult(a, a))),
% 5.09/5.27 inference(monotonicity,[status(thm)],[7711])).
% 5.09/5.27 tff(7747,plain,
% 5.09/5.27 (mult(mult(mult(b, c), a), b) = mult(mult(mult(a, b), c), b)),
% 5.09/5.27 inference(symmetry,[status(thm)],[7710])).
% 5.09/5.27 tff(7748,plain,
% 5.09/5.27 (mult(mult(mult(a, a), mult(b, c)), a) = mult(mult(mult(mult(a, b), c), a), a)),
% 5.09/5.27 inference(symmetry,[status(thm)],[5503])).
% 5.09/5.27 tff(7749,plain,
% 5.09/5.27 (mult(mult(mult(a, a), b), mult(a, c)) = mult(mult(mult(mult(a, b), c), a), a)),
% 5.09/5.27 inference(transitivity,[status(thm)],[6276, 5572, 5571, 5509, 5429, 5891, 5637, 7748])).
% 5.09/5.27 tff(7750,plain,
% 5.09/5.27 (mult(mult(mult(mult(a, a), b), mult(a, c)), b) = mult(mult(mult(mult(mult(a, b), c), a), a), b)),
% 5.09/5.27 inference(monotonicity,[status(thm)],[7749])).
% 5.09/5.27 tff(7751,plain,
% 5.09/5.27 (mult(mult(mult(mult(mult(a, b), c), a), a), b) = mult(mult(mult(mult(a, a), b), mult(a, c)), b)),
% 5.09/5.27 inference(symmetry,[status(thm)],[7750])).
% 5.09/5.27 tff(7752,plain,
% 5.09/5.27 (mult(mult(mult(a, mult(a, a)), b), c) = mult(mult(mult(mult(a, b), c), a), a)),
% 5.09/5.27 inference(transitivity,[status(thm)],[5915, 5710, 5800, 5509, 5429, 5891, 5637, 7748])).
% 5.09/5.27 tff(7753,plain,
% 5.09/5.27 (mult(mult(mult(mult(a, mult(a, a)), b), c), b) = mult(mult(mult(mult(mult(a, b), c), a), a), b)),
% 5.09/5.27 inference(monotonicity,[status(thm)],[7752])).
% 5.09/5.27 tff(7754,plain,
% 5.09/5.27 (mult(a, mult(c, mult(mult(a, a), b))) = mult(a, mult(mult(a, c), mult(a, b)))),
% 5.09/5.27 inference(monotonicity,[status(thm)],[7665])).
% 5.09/5.27 tff(7755,plain,
% 5.09/5.27 (mult(a, mult(mult(a, c), mult(a, b))) = mult(a, mult(c, mult(mult(a, a), b)))),
% 5.09/5.27 inference(symmetry,[status(thm)],[7754])).
% 5.09/5.28 tff(7756,plain,
% 5.09/5.28 (mult(mult(mult(a, mult(a, a)), b), c) = mult(mult(a, mult(mult(a, a), b)), c)),
% 5.09/5.28 inference(transitivity,[status(thm)],[5915, 5710, 5800, 5509, 5429, 7755, 6337])).
% 5.09/5.28 tff(7757,plain,
% 5.09/5.28 (rd(mult(mult(mult(a, mult(a, a)), b), c), c) = rd(mult(mult(a, mult(mult(a, a), b)), c), c)),
% 5.09/5.28 inference(monotonicity,[status(thm)],[7756])).
% 5.09/5.28 tff(7758,plain,
% 5.09/5.28 (rd(mult(mult(a, mult(mult(a, a), b)), c), c) = rd(mult(mult(mult(a, mult(a, a)), b), c), c)),
% 5.09/5.28 inference(symmetry,[status(thm)],[7757])).
% 5.09/5.28 tff(7759,plain,
% 5.09/5.28 (mult(a, mult(mult(a, a), b)) = mult(mult(a, mult(a, a)), b)),
% 5.09/5.28 inference(transitivity,[status(thm)],[7576, 7758, 6332])).
% 5.09/5.28 tff(7760,plain,
% 5.09/5.28 (mult(mult(a, mult(mult(a, a), b)), mult(b, c)) = mult(mult(mult(a, mult(a, a)), b), mult(b, c))),
% 5.09/5.28 inference(monotonicity,[status(thm)],[7759])).
% 5.09/5.28 tff(7761,plain,
% 5.09/5.28 (mult(mult(a, a), mult(mult(a, b), c)) = mult(mult(a, a), mult(a, mult(c, b)))),
% 5.09/5.28 inference(monotonicity,[status(thm)],[106])).
% 5.09/5.28 tff(7762,plain,
% 5.09/5.28 (mult(mult(mult(a, a), mult(a, b)), c) = mult(mult(a, mult(mult(a, a), b)), c)),
% 5.09/5.28 inference(transitivity,[status(thm)],[6320, 7761, 5509, 5429, 7755, 6337])).
% 5.09/5.28 tff(7763,plain,
% 5.09/5.28 (rd(mult(mult(mult(a, a), mult(a, b)), c), c) = rd(mult(mult(a, mult(mult(a, a), b)), c), c)),
% 5.09/5.28 inference(monotonicity,[status(thm)],[7762])).
% 5.09/5.28 tff(7764,plain,
% 5.09/5.28 (mult(mult(a, a), mult(a, b)) = mult(a, mult(mult(a, a), b))),
% 5.09/5.28 inference(transitivity,[status(thm)],[6367, 7763, 7321])).
% 5.09/5.28 tff(7765,plain,
% 5.09/5.28 (mult(mult(mult(a, a), mult(a, b)), mult(b, c)) = mult(mult(a, mult(mult(a, a), b)), mult(b, c))),
% 5.09/5.28 inference(monotonicity,[status(thm)],[7764])).
% 5.09/5.28 tff(7766,plain,
% 5.09/5.28 (mult(mult(a, a), mult(mult(b, c), mult(a, b))) = mult(mult(a, a), mult(mult(mult(b, c), a), b))),
% 5.09/5.28 inference(transitivity,[status(thm)],[6502, 7765, 7760, 6371, 5822, 7753, 7751, 6187, 7569])).
% 5.09/5.28 tff(7767,plain,
% 5.09/5.28 (ld(mult(a, a), mult(mult(a, a), mult(mult(b, c), mult(a, b)))) = ld(mult(a, a), mult(mult(a, a), mult(mult(mult(b, c), a), b)))),
% 5.09/5.28 inference(monotonicity,[status(thm)],[7766])).
% 5.09/5.28 tff(7768,assumption,(~(ld(mult(a, a), mult(mult(a, a), mult(mult(b, c), mult(a, b)))) = mult(mult(b, c), mult(a, b)))), introduced(assumption)).
% 5.09/5.28 tff(7769,plain,
% 5.09/5.28 ($false),
% 5.09/5.28 inference(unit_resolution,[status(thm)],[6505, 9, 7768])).
% 5.09/5.28 tff(7770,plain,(ld(mult(a, a), mult(mult(a, a), mult(mult(b, c), mult(a, b)))) = mult(mult(b, c), mult(a, b))), inference(lemma,lemma(discharge,[]))).
% 5.09/5.28 tff(7771,plain,
% 5.09/5.28 (mult(mult(b, c), mult(a, b)) = ld(mult(a, a), mult(mult(a, a), mult(mult(b, c), mult(a, b))))),
% 5.09/5.28 inference(symmetry,[status(thm)],[7770])).
% 5.09/5.28 tff(7772,plain,
% 5.09/5.28 (mult(mult(b, c), mult(a, b)) = mult(a, mult(mult(b, c), b))),
% 5.09/5.28 inference(transitivity,[status(thm)],[7771, 7767, 6491, 7747, 6283])).
% 5.09/5.28 tff(7773,plain,
% 5.09/5.28 (mult(mult(mult(b, c), mult(a, b)), mult(a, a)) = mult(mult(a, mult(mult(b, c), b)), mult(a, a))),
% 5.09/5.28 inference(monotonicity,[status(thm)],[7772])).
% 5.09/5.28 tff(7774,assumption,(mult(mult(a, mult(b, a)), a) = mult(a, mult(mult(b, a), a))), introduced(assumption)).
% 5.09/5.28 tff(7775,assumption,(~(mult(mult(a, mult(mult(mult(b, c), a), b)), a) = mult(a, mult(a, mult(mult(mult(b, c), a), b))))), introduced(assumption)).
% 5.09/5.28 tff(7776,assumption,(mult(mult(mult(b, c), a), mult(mult(a, b), a)) = mult(mult(b, c), mult(mult(mult(a, b), a), a))), introduced(assumption)).
% 5.09/5.28 tff(7777,assumption,(~(mult(mult(mult(b, c), mult(a, b)), mult(a, a)) = mult(mult(b, c), mult(mult(a, b), mult(a, a))))), introduced(assumption)).
% 5.09/5.28 tff(7778,plain,
% 5.09/5.28 (((~(mult(mult(mult(b, c), mult(a, b)), mult(a, a)) = mult(mult(b, c), mult(mult(a, b), mult(a, a))))) | (~(mult(mult(mult(b, c), mult(a, a)), mult(a, b)) = mult(mult(b, c), mult(mult(a, a), mult(a, b)))))) | (mult(mult(mult(b, c), mult(a, b)), mult(a, a)) = mult(mult(b, c), mult(mult(a, b), mult(a, a))))),
% 5.09/5.28 inference(tautology,[status(thm)],[])).
% 5.09/5.28 tff(7779,plain,
% 5.09/5.28 ((~(mult(mult(mult(b, c), mult(a, b)), mult(a, a)) = mult(mult(b, c), mult(mult(a, b), mult(a, a))))) | (~(mult(mult(mult(b, c), mult(a, a)), mult(a, b)) = mult(mult(b, c), mult(mult(a, a), mult(a, b)))))),
% 5.09/5.28 inference(unit_resolution,[status(thm)],[7778, 7777])).
% 5.09/5.28 tff(7780,plain,
% 5.09/5.28 (mult(mult(b, c), mult(mult(a, b), mult(a, a))) = mult(mult(b, c), mult(mult(mult(a, b), a), a))),
% 5.09/5.28 inference(monotonicity,[status(thm)],[4624])).
% 5.09/5.28 tff(7781,plain,
% 5.09/5.28 (mult(mult(b, c), mult(mult(mult(a, b), a), a)) = mult(mult(b, c), mult(mult(a, b), mult(a, a)))),
% 5.09/5.28 inference(symmetry,[status(thm)],[7780])).
% 5.09/5.28 tff(7782,plain,
% 5.09/5.28 (mult(a, mult(mult(b, a), a)) = mult(mult(a, mult(b, a)), a)),
% 5.09/5.28 inference(symmetry,[status(thm)],[7774])).
% 5.09/5.28 tff(7783,plain,
% 5.09/5.28 (mult(mult(mult(b, c), a), mult(a, mult(b, a))) = mult(mult(mult(mult(mult(a, b), c), a), b), a)),
% 5.09/5.28 inference(transitivity,[status(thm)],[7506, 6049, 6453])).
% 5.09/5.28 tff(7784,plain,
% 5.09/5.28 ((mult(mult(mult(mult(b, c), a), a), mult(b, a)) = mult(mult(mult(b, c), a), mult(a, mult(b, a)))) <=> (mult(mult(mult(mult(a, b), c), a), mult(b, a)) = mult(mult(mult(mult(mult(a, b), c), a), b), a))),
% 5.09/5.28 inference(monotonicity,[status(thm)],[7654, 7783])).
% 5.09/5.28 tff(7785,plain,
% 5.09/5.28 ((mult(mult(mult(mult(b, c), a), a), mult(b, a)) = mult(mult(mult(b, c), a), mult(a, mult(b, a)))) <=> (mult(mult(mult(mult(mult(a, b), c), a), b), a) = mult(mult(mult(mult(a, b), c), a), mult(b, a)))),
% 5.09/5.28 inference(transitivity,[status(thm)],[7784, 7503])).
% 5.09/5.28 tff(7786,plain,
% 5.09/5.28 ((mult(mult(mult(mult(mult(a, b), c), a), b), a) = mult(mult(mult(mult(a, b), c), a), mult(b, a))) <=> (mult(mult(mult(mult(b, c), a), a), mult(b, a)) = mult(mult(mult(b, c), a), mult(a, mult(b, a))))),
% 5.09/5.28 inference(symmetry,[status(thm)],[7785])).
% 5.09/5.28 tff(7787,plain,
% 5.09/5.28 (mult(mult(mult(mult(a, b), c), a), mult(b, a)) = mult(a, mult(a, mult(mult(mult(b, c), a), b)))),
% 5.09/5.28 inference(transitivity,[status(thm)],[7653, 7652, 7650, 7382, 5335, 7648, 7708])).
% 5.09/5.28 tff(7788,plain,
% 5.09/5.28 ((mult(mult(mult(mult(mult(a, b), c), a), b), a) = mult(mult(mult(mult(a, b), c), a), mult(b, a))) <=> (mult(mult(a, mult(mult(mult(b, c), a), b)), a) = mult(a, mult(a, mult(mult(mult(b, c), a), b))))),
% 5.09/5.28 inference(monotonicity,[status(thm)],[7204, 7787])).
% 5.09/5.28 tff(7789,plain,
% 5.09/5.28 ((mult(mult(a, mult(mult(mult(b, c), a), b)), a) = mult(a, mult(a, mult(mult(mult(b, c), a), b)))) <=> (mult(mult(mult(mult(mult(a, b), c), a), b), a) = mult(mult(mult(mult(a, b), c), a), mult(b, a)))),
% 5.09/5.28 inference(symmetry,[status(thm)],[7788])).
% 5.09/5.28 tff(7790,plain,
% 5.09/5.28 ((mult(mult(a, mult(mult(mult(b, c), a), b)), a) = mult(a, mult(a, mult(mult(mult(b, c), a), b)))) <=> (mult(mult(mult(mult(b, c), a), a), mult(b, a)) = mult(mult(mult(b, c), a), mult(a, mult(b, a))))),
% 5.09/5.28 inference(transitivity,[status(thm)],[7789, 7786])).
% 5.09/5.28 tff(7791,plain,
% 5.09/5.28 ((~(mult(mult(a, mult(mult(mult(b, c), a), b)), a) = mult(a, mult(a, mult(mult(mult(b, c), a), b))))) <=> (~(mult(mult(mult(mult(b, c), a), a), mult(b, a)) = mult(mult(mult(b, c), a), mult(a, mult(b, a)))))),
% 5.09/5.28 inference(monotonicity,[status(thm)],[7790])).
% 5.09/5.28 tff(7792,plain,
% 5.09/5.28 (~(mult(mult(mult(mult(b, c), a), a), mult(b, a)) = mult(mult(mult(b, c), a), mult(a, mult(b, a))))),
% 5.09/5.28 inference(modus_ponens,[status(thm)],[7775, 7791])).
% 5.09/5.28 tff(7793,plain,
% 5.09/5.28 ((~(mult(mult(mult(mult(b, c), a), a), mult(b, a)) = mult(mult(mult(b, c), a), mult(a, mult(b, a))))) | (~(mult(mult(mult(mult(b, c), a), mult(b, a)), a) = mult(mult(mult(b, c), a), mult(mult(b, a), a))))),
% 5.09/5.28 inference(unit_resolution,[status(thm)],[7533, 7792])).
% 5.09/5.28 tff(7794,plain,
% 5.09/5.28 (~((~(mult(mult(mult(mult(b, c), a), a), mult(b, a)) = mult(mult(mult(b, c), a), mult(mult(b, a), a)))) | (~(mult(mult(mult(mult(b, c), a), mult(b, a)), a) = mult(mult(mult(b, c), a), mult(a, mult(b, a))))))),
% 5.09/5.28 inference(unit_resolution,[status(thm)],[7541, 7793])).
% 5.09/5.28 tff(7795,plain,
% 5.09/5.28 (mult(mult(mult(mult(b, c), a), a), mult(b, a)) = mult(mult(mult(b, c), a), mult(mult(b, a), a))),
% 5.09/5.28 inference(unit_resolution,[status(thm)],[7543, 7794])).
% 5.09/5.28 tff(7796,plain,
% 5.09/5.28 (mult(mult(mult(b, c), a), mult(mult(b, a), a)) = mult(mult(mult(mult(b, c), a), a), mult(b, a))),
% 5.09/5.28 inference(symmetry,[status(thm)],[7795])).
% 5.09/5.28 tff(7797,plain,
% 5.09/5.28 (mult(mult(mult(b, c), a), mult(mult(b, a), a)) = mult(mult(mult(b, c), a), mult(mult(a, a), b))),
% 5.09/5.28 inference(transitivity,[status(thm)],[7796, 7654, 7653, 7652, 7650, 7382, 5335, 7648, 7646, 7213, 7643, 7640, 7637, 7635, 7233])).
% 5.09/5.28 tff(7798,plain,
% 5.09/5.28 (ld(mult(mult(b, c), a), mult(mult(mult(b, c), a), mult(mult(b, a), a))) = ld(mult(mult(b, c), a), mult(mult(mult(b, c), a), mult(mult(a, a), b)))),
% 5.09/5.28 inference(monotonicity,[status(thm)],[7797])).
% 5.09/5.28 tff(7799,plain,
% 5.09/5.28 (mult(mult(b, a), a) = mult(mult(a, a), b)),
% 5.09/5.28 inference(transitivity,[status(thm)],[7550, 7798, 7231])).
% 5.09/5.28 tff(7800,plain,
% 5.09/5.28 (mult(a, mult(mult(b, a), a)) = mult(a, mult(mult(a, a), b))),
% 5.09/5.28 inference(monotonicity,[status(thm)],[7799])).
% 5.09/5.28 tff(7801,plain,
% 5.09/5.28 (mult(a, mult(mult(a, a), b)) = mult(a, mult(mult(b, a), a))),
% 5.09/5.28 inference(symmetry,[status(thm)],[7800])).
% 5.09/5.28 tff(7802,plain,
% 5.09/5.28 (mult(mult(a, mult(a, a)), b) = mult(mult(mult(a, b), a), a)),
% 5.09/5.28 inference(transitivity,[status(thm)],[7326, 7757, 7321, 7801, 7782, 7619])).
% 5.09/5.28 tff(7803,plain,
% 5.09/5.28 (mult(mult(b, c), mult(mult(a, mult(a, a)), b)) = mult(mult(b, c), mult(mult(mult(a, b), a), a))),
% 5.09/5.28 inference(monotonicity,[status(thm)],[7802])).
% 5.09/5.28 tff(7804,plain,
% 5.09/5.28 (mult(mult(a, a), mult(a, b)) = mult(mult(a, mult(a, a)), b)),
% 5.09/5.28 inference(transitivity,[status(thm)],[6367, 7763, 7758, 6332])).
% 5.09/5.28 tff(7805,plain,
% 5.09/5.28 (mult(mult(b, c), mult(mult(a, a), mult(a, b))) = mult(mult(b, c), mult(mult(a, mult(a, a)), b))),
% 5.09/5.28 inference(monotonicity,[status(thm)],[7804])).
% 5.09/5.28 tff(7806,plain,
% 5.09/5.28 (mult(mult(b, c), mult(mult(a, a), mult(a, b))) = mult(mult(b, c), mult(mult(a, b), mult(a, a)))),
% 5.09/5.28 inference(transitivity,[status(thm)],[7805, 7803, 7781])).
% 5.09/5.28 tff(7807,plain,
% 5.09/5.28 ((mult(mult(mult(b, c), mult(a, b)), mult(a, a)) = mult(mult(b, c), mult(mult(a, a), mult(a, b)))) <=> (mult(mult(mult(b, c), mult(a, b)), mult(a, a)) = mult(mult(b, c), mult(mult(a, b), mult(a, a))))),
% 5.09/5.28 inference(monotonicity,[status(thm)],[7806])).
% 5.09/5.28 tff(7808,plain,
% 5.09/5.28 ((mult(mult(mult(b, c), mult(a, b)), mult(a, a)) = mult(mult(b, c), mult(mult(a, b), mult(a, a)))) <=> (mult(mult(mult(b, c), mult(a, b)), mult(a, a)) = mult(mult(b, c), mult(mult(a, a), mult(a, b))))),
% 5.09/5.28 inference(symmetry,[status(thm)],[7807])).
% 5.09/5.28 tff(7809,plain,
% 5.09/5.28 (mult(mult(b, c), mult(mult(mult(a, b), a), a)) = mult(mult(mult(b, c), a), mult(mult(a, b), a))),
% 5.09/5.28 inference(symmetry,[status(thm)],[7776])).
% 5.09/5.28 tff(7810,plain,
% 5.09/5.28 (mult(mult(b, c), mult(mult(a, b), mult(a, a))) = mult(mult(a, mult(mult(mult(b, c), a), b)), a)),
% 5.09/5.28 inference(transitivity,[status(thm)],[7780, 7809, 6049, 6453, 7204])).
% 5.09/5.28 tff(7811,plain,
% 5.09/5.28 (mult(a, mult(mult(mult(b, c), a), mult(a, b))) = mult(a, mult(mult(mult(mult(b, c), a), b), a))),
% 5.09/5.28 inference(transitivity,[status(thm)],[7726, 6128, 7724, 7206, 6666, 6049, 6453, 7719, 6884, 7715])).
% 5.09/5.28 tff(7812,plain,
% 5.09/5.28 (ld(a, mult(a, mult(mult(mult(b, c), a), mult(a, b)))) = ld(a, mult(a, mult(mult(mult(mult(b, c), a), b), a)))),
% 5.09/5.28 inference(monotonicity,[status(thm)],[7811])).
% 5.09/5.28 tff(7813,plain,
% 5.09/5.28 (ld(a, mult(a, mult(mult(mult(mult(b, c), a), b), a))) = ld(a, mult(a, mult(mult(mult(b, c), a), mult(a, b))))),
% 5.09/5.28 inference(symmetry,[status(thm)],[7812])).
% 5.09/5.28 tff(7814,plain,
% 5.09/5.28 (mult(mult(mult(mult(b, c), a), b), a) = mult(mult(mult(b, c), a), mult(a, b))),
% 5.09/5.28 inference(transitivity,[status(thm)],[6895, 7813, 6865])).
% 5.09/5.28 tff(7815,plain,
% 5.09/5.28 (mult(mult(mult(mult(mult(b, c), a), b), a), a) = mult(mult(mult(mult(b, c), a), mult(a, b)), a)),
% 5.09/5.28 inference(monotonicity,[status(thm)],[7814])).
% 5.09/5.28 tff(7816,plain,
% 5.09/5.28 (mult(mult(mult(b, c), mult(a, b)), mult(a, a)) = mult(a, mult(a, mult(mult(mult(b, c), a), b)))),
% 5.09/5.28 inference(transitivity,[status(thm)],[7773, 7746, 7745, 7815, 7709, 7634, 7636, 7639, 7642, 7212, 7645, 7708])).
% 5.09/5.28 tff(7817,plain,
% 5.09/5.28 ((mult(mult(mult(b, c), mult(a, b)), mult(a, a)) = mult(mult(b, c), mult(mult(a, b), mult(a, a)))) <=> (mult(a, mult(a, mult(mult(mult(b, c), a), b))) = mult(mult(a, mult(mult(mult(b, c), a), b)), a))),
% 5.09/5.28 inference(monotonicity,[status(thm)],[7816, 7810])).
% 5.09/5.28 tff(7818,plain,
% 5.09/5.28 ((mult(mult(mult(b, c), mult(a, b)), mult(a, a)) = mult(mult(b, c), mult(mult(a, b), mult(a, a)))) <=> (mult(mult(a, mult(mult(mult(b, c), a), b)), a) = mult(a, mult(a, mult(mult(mult(b, c), a), b))))),
% 5.09/5.28 inference(transitivity,[status(thm)],[7817, 7568])).
% 5.09/5.28 tff(7819,plain,
% 5.09/5.28 ((mult(mult(a, mult(mult(mult(b, c), a), b)), a) = mult(a, mult(a, mult(mult(mult(b, c), a), b)))) <=> (mult(mult(mult(b, c), mult(a, b)), mult(a, a)) = mult(mult(b, c), mult(mult(a, b), mult(a, a))))),
% 5.09/5.28 inference(symmetry,[status(thm)],[7818])).
% 5.09/5.28 tff(7820,plain,
% 5.09/5.28 ((mult(mult(a, mult(mult(mult(b, c), a), b)), a) = mult(a, mult(a, mult(mult(mult(b, c), a), b)))) <=> (mult(mult(mult(b, c), mult(a, b)), mult(a, a)) = mult(mult(b, c), mult(mult(a, a), mult(a, b))))),
% 5.09/5.28 inference(transitivity,[status(thm)],[7819, 7808])).
% 5.09/5.28 tff(7821,plain,
% 5.09/5.28 ((~(mult(mult(a, mult(mult(mult(b, c), a), b)), a) = mult(a, mult(a, mult(mult(mult(b, c), a), b))))) <=> (~(mult(mult(mult(b, c), mult(a, b)), mult(a, a)) = mult(mult(b, c), mult(mult(a, a), mult(a, b)))))),
% 5.09/5.28 inference(monotonicity,[status(thm)],[7820])).
% 5.09/5.28 tff(7822,plain,
% 5.09/5.28 (~(mult(mult(mult(b, c), mult(a, b)), mult(a, a)) = mult(mult(b, c), mult(mult(a, a), mult(a, b))))),
% 5.09/5.28 inference(modus_ponens,[status(thm)],[7775, 7821])).
% 5.09/5.28 tff(7823,plain,
% 5.09/5.28 (((~(mult(mult(mult(b, c), mult(a, b)), mult(a, a)) = mult(mult(b, c), mult(mult(a, a), mult(a, b))))) | (~(mult(mult(mult(b, c), mult(a, a)), mult(a, b)) = mult(mult(b, c), mult(mult(a, b), mult(a, a)))))) | (mult(mult(mult(b, c), mult(a, b)), mult(a, a)) = mult(mult(b, c), mult(mult(a, a), mult(a, b))))),
% 5.09/5.28 inference(tautology,[status(thm)],[])).
% 5.09/5.28 tff(7824,plain,
% 5.09/5.28 ((~(mult(mult(mult(b, c), mult(a, b)), mult(a, a)) = mult(mult(b, c), mult(mult(a, a), mult(a, b))))) | (~(mult(mult(mult(b, c), mult(a, a)), mult(a, b)) = mult(mult(b, c), mult(mult(a, b), mult(a, a)))))),
% 5.09/5.28 inference(unit_resolution,[status(thm)],[7823, 7822])).
% 5.09/5.28 tff(7825,plain,
% 5.09/5.28 (((~![X0: $i, X1: $i, X2: $i] : ((~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X2, X1)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X1, X2)))))) | (~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X1, X2)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X2, X1)))))))) | ((~((~(mult(mult(mult(b, c), mult(a, b)), mult(a, a)) = mult(mult(b, c), mult(mult(a, a), mult(a, b))))) | (~(mult(mult(mult(b, c), mult(a, a)), mult(a, b)) = mult(mult(b, c), mult(mult(a, b), mult(a, a))))))) | (~((~(mult(mult(mult(b, c), mult(a, b)), mult(a, a)) = mult(mult(b, c), mult(mult(a, b), mult(a, a))))) | (~(mult(mult(mult(b, c), mult(a, a)), mult(a, b)) = mult(mult(b, c), mult(mult(a, a), mult(a, b))))))))) <=> ((~![X0: $i, X1: $i, X2: $i] : ((~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X2, X1)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X1, X2)))))) | (~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X1, X2)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X2, X1)))))))) | (~((~(mult(mult(mult(b, c), mult(a, b)), mult(a, a)) = mult(mult(b, c), mult(mult(a, a), mult(a, b))))) | (~(mult(mult(mult(b, c), mult(a, a)), mult(a, b)) = mult(mult(b, c), mult(mult(a, b), mult(a, a))))))) | (~((~(mult(mult(mult(b, c), mult(a, b)), mult(a, a)) = mult(mult(b, c), mult(mult(a, b), mult(a, a))))) | (~(mult(mult(mult(b, c), mult(a, a)), mult(a, b)) = mult(mult(b, c), mult(mult(a, a), mult(a, b))))))))),
% 5.09/5.28 inference(rewrite,[status(thm)],[])).
% 5.09/5.28 tff(7826,plain,
% 5.09/5.28 ((~![X0: $i, X1: $i, X2: $i] : ((~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X2, X1)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X1, X2)))))) | (~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X1, X2)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X2, X1)))))))) | ((~((~(mult(mult(mult(b, c), mult(a, b)), mult(a, a)) = mult(mult(b, c), mult(mult(a, a), mult(a, b))))) | (~(mult(mult(mult(b, c), mult(a, a)), mult(a, b)) = mult(mult(b, c), mult(mult(a, b), mult(a, a))))))) | (~((~(mult(mult(mult(b, c), mult(a, b)), mult(a, a)) = mult(mult(b, c), mult(mult(a, b), mult(a, a))))) | (~(mult(mult(mult(b, c), mult(a, a)), mult(a, b)) = mult(mult(b, c), mult(mult(a, a), mult(a, b))))))))),
% 5.09/5.28 inference(quant_inst,[status(thm)],[])).
% 5.09/5.28 tff(7827,plain,
% 5.09/5.28 ((~![X0: $i, X1: $i, X2: $i] : ((~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X2, X1)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X1, X2)))))) | (~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X1, X2)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X2, X1)))))))) | (~((~(mult(mult(mult(b, c), mult(a, b)), mult(a, a)) = mult(mult(b, c), mult(mult(a, a), mult(a, b))))) | (~(mult(mult(mult(b, c), mult(a, a)), mult(a, b)) = mult(mult(b, c), mult(mult(a, b), mult(a, a))))))) | (~((~(mult(mult(mult(b, c), mult(a, b)), mult(a, a)) = mult(mult(b, c), mult(mult(a, b), mult(a, a))))) | (~(mult(mult(mult(b, c), mult(a, a)), mult(a, b)) = mult(mult(b, c), mult(mult(a, a), mult(a, b)))))))),
% 5.09/5.29 inference(modus_ponens,[status(thm)],[7826, 7825])).
% 5.09/5.29 tff(7828,plain,
% 5.09/5.29 ((~((~(mult(mult(mult(b, c), mult(a, b)), mult(a, a)) = mult(mult(b, c), mult(mult(a, a), mult(a, b))))) | (~(mult(mult(mult(b, c), mult(a, a)), mult(a, b)) = mult(mult(b, c), mult(mult(a, b), mult(a, a))))))) | (~((~(mult(mult(mult(b, c), mult(a, b)), mult(a, a)) = mult(mult(b, c), mult(mult(a, b), mult(a, a))))) | (~(mult(mult(mult(b, c), mult(a, a)), mult(a, b)) = mult(mult(b, c), mult(mult(a, a), mult(a, b)))))))),
% 5.09/5.29 inference(unit_resolution,[status(thm)],[7827, 30])).
% 5.09/5.29 tff(7829,plain,
% 5.09/5.29 ($false),
% 5.09/5.29 inference(unit_resolution,[status(thm)],[7828, 7824, 7779])).
% 5.09/5.29 tff(7830,plain,((mult(mult(mult(b, c), mult(a, b)), mult(a, a)) = mult(mult(b, c), mult(mult(a, b), mult(a, a)))) | (mult(mult(a, mult(mult(mult(b, c), a), b)), a) = mult(a, mult(a, mult(mult(mult(b, c), a), b)))) | (~(mult(mult(mult(b, c), a), mult(mult(a, b), a)) = mult(mult(b, c), mult(mult(mult(a, b), a), a)))) | (~(mult(mult(mult(a, b), c), a) = mult(mult(a, b), mult(a, c)))) | (~(mult(mult(a, mult(b, c)), a) = mult(a, mult(mult(b, c), a)))) | (~(mult(mult(a, c), mult(a, b)) = mult(a, mult(mult(a, b), c)))) | (~(mult(mult(mult(a, c), b), a) = mult(mult(a, c), mult(a, b)))) | (~(mult(mult(a, c), b) = mult(a, mult(b, c)))) | (~(mult(mult(a, b), c) = mult(a, mult(c, b)))) | (~(mult(mult(mult(mult(b, c), a), mult(a, b)), a) = mult(mult(mult(b, c), a), mult(a, mult(a, b))))) | (~(mult(mult(mult(a, b), c), mult(mult(a, a), b)) = mult(mult(a, b), mult(mult(mult(a, a), b), c)))) | (~(mult(mult(a, b), mult(mult(a, mult(c, b)), a)) = mult(a, mult(mult(mult(a, mult(c, b)), a), b)))) | (~(mult(mult(a, mult(c, b)), a) = mult(a, mult(mult(c, b), a)))) | (~(mult(mult(c, b), a) = mult(c, mult(a, b)))) | (~(mult(mult(a, mult(a, b)), c) = mult(a, mult(c, mult(a, b))))) | (~(mult(mult(mult(mult(b, c), a), a), mult(a, b)) = mult(mult(mult(b, c), a), mult(mult(a, b), a)))) | (~(mult(mult(mult(a, a), mult(a, b)), mult(b, c)) = mult(mult(a, a), mult(mult(b, c), mult(a, b))))) | (~(mult(mult(mult(a, mult(a, a)), b), mult(b, c)) = mult(mult(a, mult(a, a)), mult(mult(b, c), b)))) | (~(mult(mult(a, a), mult(a, mult(c, b))) = mult(a, mult(a, mult(a, mult(c, b)))))) | (~(mult(mult(mult(a, mult(a, a)), b), c) = mult(mult(a, mult(a, a)), mult(c, b)))) | (~(mult(mult(mult(a, a), a), mult(c, b)) = mult(mult(a, a), mult(a, mult(c, b))))) | (~(mult(mult(a, a), mult(b, c)) = mult(a, mult(a, mult(b, c))))) | (~(mult(mult(a, b), mult(a, c)) = mult(a, mult(mult(a, c), b)))) | (~(mult(mult(a, mult(mult(a, a), b)), c) = mult(a, mult(c, mult(mult(a, a), b))))) | (~(mult(mult(c, mult(a, b)), a) = mult(c, mult(a, mult(a, b))))) | (~(mult(mult(mult(a, a), mult(a, b)), c) = mult(mult(a, a), mult(mult(a, b), c)))) | (~(mult(mult(mult(a, a), b), mult(a, c)) = mult(mult(a, a), mult(b, mult(a, c))))) | (~(mult(mult(a, mult(b, a)), a) = mult(a, mult(mult(b, a), a)))) | (~(mult(mult(mult(mult(a, mult(c, b)), a), a), b) = mult(mult(mult(a, mult(c, b)), a), mult(b, a)))) | (~(mult(mult(mult(a, b), mult(a, c)), a) = mult(mult(a, b), mult(a, mult(a, c)))))), inference(lemma,lemma(discharge,[]))).
% 5.09/5.29 tff(7831,plain,
% 5.09/5.29 (mult(mult(mult(b, c), mult(a, b)), mult(a, a)) = mult(mult(b, c), mult(mult(a, b), mult(a, a)))),
% 5.09/5.29 inference(unit_resolution,[status(thm)],[7830, 6501, 7776, 168, 510, 593, 594, 117, 106, 7709, 7636, 7212, 707, 1110, 269, 6666, 7775, 6371, 5509, 5915, 5800, 1154, 167, 6055, 6056, 6320, 6276, 7774, 7651, 6309])).
% 5.09/5.29 tff(7832,plain,
% 5.09/5.29 (mult(mult(b, c), mult(mult(a, b), mult(a, a))) = mult(mult(mult(b, c), mult(a, b)), mult(a, a))),
% 5.09/5.29 inference(symmetry,[status(thm)],[7831])).
% 5.09/5.29 tff(7833,plain,
% 5.09/5.29 (mult(mult(b, c), mult(mult(mult(a, b), a), a)) = mult(mult(b, c), mult(mult(a, b), mult(a, a)))),
% 5.09/5.29 inference(monotonicity,[status(thm)],[4623])).
% 5.09/5.29 tff(7834,plain,
% 5.09/5.29 (mult(mult(a, mult(mult(mult(b, c), a), b)), a) = mult(a, mult(a, mult(mult(mult(b, c), a), b)))),
% 5.09/5.29 inference(transitivity,[status(thm)],[6143, 7721, 6048, 7776, 7833, 7832, 7773, 7746, 7745, 7731, 7709, 7634, 7636, 7639, 7642, 7212, 7645, 7708])).
% 5.09/5.29 tff(7835,plain,
% 5.09/5.29 ($false),
% 5.09/5.29 inference(unit_resolution,[status(thm)],[7775, 7834])).
% 5.09/5.29 tff(7836,plain,((~(mult(mult(mult(a, a), mult(a, b)), mult(b, c)) = mult(mult(a, a), mult(mult(b, c), mult(a, b))))) | (mult(mult(a, mult(mult(mult(b, c), a), b)), a) = mult(a, mult(a, mult(mult(mult(b, c), a), b)))) | (~(mult(mult(mult(b, c), a), mult(mult(a, b), a)) = mult(mult(b, c), mult(mult(mult(a, b), a), a)))) | (~(mult(mult(mult(mult(b, c), a), mult(a, b)), a) = mult(mult(mult(b, c), a), mult(a, mult(a, b))))) | (~(mult(mult(mult(a, b), c), mult(mult(a, a), b)) = mult(mult(a, b), mult(mult(mult(a, a), b), c)))) | (~(mult(mult(a, b), mult(mult(a, mult(c, b)), a)) = mult(a, mult(mult(mult(a, mult(c, b)), a), b)))) | (~(mult(mult(a, b), c) = mult(a, mult(c, b)))) | (~(mult(mult(a, mult(c, b)), a) = mult(a, mult(mult(c, b), a)))) | (~(mult(mult(c, b), a) = mult(c, mult(a, b)))) | (~(mult(mult(a, mult(a, b)), c) = mult(a, mult(c, mult(a, b))))) | (~(mult(mult(a, mult(b, c)), a) = mult(a, mult(mult(b, c), a)))) | (~(mult(mult(a, c), mult(a, b)) = mult(a, mult(mult(a, b), c)))) | (~(mult(mult(mult(a, c), b), a) = mult(mult(a, c), mult(a, b)))) | (~(mult(mult(a, c), b) = mult(a, mult(b, c)))) | (~(mult(mult(mult(mult(b, c), a), a), mult(a, b)) = mult(mult(mult(b, c), a), mult(mult(a, b), a)))) | (~(mult(mult(mult(a, mult(a, a)), b), mult(b, c)) = mult(mult(a, mult(a, a)), mult(mult(b, c), b)))) | (~(mult(mult(a, a), mult(a, mult(c, b))) = mult(a, mult(a, mult(a, mult(c, b)))))) | (~(mult(mult(mult(a, mult(a, a)), b), c) = mult(mult(a, mult(a, a)), mult(c, b)))) | (~(mult(mult(mult(a, a), a), mult(c, b)) = mult(mult(a, a), mult(a, mult(c, b))))) | (~(mult(mult(a, a), mult(b, c)) = mult(a, mult(a, mult(b, c))))) | (~(mult(mult(a, b), mult(a, c)) = mult(a, mult(mult(a, c), b)))) | (~(mult(mult(mult(a, b), c), a) = mult(mult(a, b), mult(a, c)))) | (~(mult(mult(a, mult(mult(a, a), b)), c) = mult(a, mult(c, mult(mult(a, a), b))))) | (~(mult(mult(c, mult(a, b)), a) = mult(c, mult(a, mult(a, b))))) | (~(mult(mult(mult(a, a), mult(a, b)), c) = mult(mult(a, a), mult(mult(a, b), c)))) | (~(mult(mult(mult(a, a), b), mult(a, c)) = mult(mult(a, a), mult(b, mult(a, c))))) | (~(mult(mult(a, mult(b, a)), a) = mult(a, mult(mult(b, a), a)))) | (~(mult(mult(mult(mult(a, mult(c, b)), a), a), b) = mult(mult(mult(a, mult(c, b)), a), mult(b, a)))) | (~(mult(mult(mult(a, b), mult(a, c)), a) = mult(mult(a, b), mult(a, mult(a, c)))))), inference(lemma,lemma(discharge,[]))).
% 5.09/5.29 tff(7837,plain,
% 5.09/5.29 (~(mult(mult(mult(a, a), mult(a, b)), mult(b, c)) = mult(mult(a, a), mult(mult(b, c), mult(a, b))))),
% 5.09/5.29 inference(unit_resolution,[status(thm)],[7836, 7531, 7707, 7682, 7495, 5966, 91, 4821, 5290, 4709, 5309, 4654, 971, 97, 6658, 7574, 5467, 5817, 5695, 5492, 5491, 5305, 6033, 6004, 7306, 7288, 7680, 7227, 5680])).
% 5.09/5.29 tff(7838,plain,
% 5.09/5.29 ((~(mult(mult(mult(a, a), mult(a, b)), mult(b, c)) = mult(mult(a, a), mult(mult(b, c), mult(a, b))))) | (~(mult(mult(mult(a, a), mult(b, c)), mult(a, b)) = mult(mult(a, a), mult(mult(a, b), mult(b, c)))))),
% 5.09/5.29 inference(unit_resolution,[status(thm)],[6468, 7837])).
% 5.09/5.29 tff(7839,plain,
% 5.09/5.29 (~((~(mult(mult(mult(a, a), mult(a, b)), mult(b, c)) = mult(mult(a, a), mult(mult(a, b), mult(b, c))))) | (~(mult(mult(mult(a, a), mult(b, c)), mult(a, b)) = mult(mult(a, a), mult(mult(b, c), mult(a, b))))))),
% 5.09/5.29 inference(unit_resolution,[status(thm)],[7368, 7838])).
% 5.09/5.29 tff(7840,plain,
% 5.09/5.29 (mult(mult(mult(a, a), mult(a, b)), mult(b, c)) = mult(mult(a, a), mult(mult(a, b), mult(b, c)))),
% 5.09/5.29 inference(unit_resolution,[status(thm)],[6561, 7839])).
% 5.09/5.29 tff(7841,plain,
% 5.09/5.29 (mult(mult(a, a), mult(mult(a, b), mult(b, c))) = mult(mult(mult(a, a), mult(a, b)), mult(b, c))),
% 5.09/5.29 inference(symmetry,[status(thm)],[7840])).
% 5.09/5.29 tff(7842,plain,
% 5.09/5.29 (mult(mult(a, a), mult(mult(a, b), mult(b, c))) = mult(mult(a, a), mult(mult(mult(b, c), a), b))),
% 5.09/5.29 inference(transitivity,[status(thm)],[7841, 7580, 7578, 7574, 5822, 5819, 7572, 6187, 7569])).
% 5.09/5.29 tff(7843,plain,
% 5.09/5.29 (ld(mult(a, a), mult(mult(a, a), mult(mult(a, b), mult(b, c)))) = ld(mult(a, a), mult(mult(a, a), mult(mult(mult(b, c), a), b)))),
% 5.09/5.29 inference(monotonicity,[status(thm)],[7842])).
% 5.09/5.29 tff(7844,plain,
% 5.09/5.29 (mult(mult(a, b), mult(b, c)) = mult(mult(mult(b, c), a), b)),
% 5.09/5.29 inference(transitivity,[status(thm)],[6540, 7843, 6491])).
% 5.09/5.29 tff(7845,plain,
% 5.09/5.29 (mult(a, mult(mult(a, b), mult(b, c))) = mult(a, mult(mult(mult(b, c), a), b))),
% 5.09/5.29 inference(monotonicity,[status(thm)],[7844])).
% 5.09/5.29 tff(7846,plain,
% 5.09/5.29 ((~![B: $i, A: $i] : (rd(mult(A, B), B) = A)) | (rd(mult(mult(mult(a, mult(c, b)), a), b), b) = mult(mult(a, mult(c, b)), a))),
% 5.09/5.29 inference(quant_inst,[status(thm)],[])).
% 5.09/5.29 tff(7847,plain,
% 5.09/5.29 (rd(mult(mult(mult(a, mult(c, b)), a), b), b) = mult(mult(a, mult(c, b)), a)),
% 5.09/5.29 inference(unit_resolution,[status(thm)],[7846, 72])).
% 5.09/5.29 tff(7848,plain,
% 5.09/5.29 (ld(mult(a, c), mult(mult(a, c), mult(mult(mult(b, a), mult(a, c)), mult(b, a)))) = ld(mult(a, c), mult(mult(a, c), mult(mult(a, mult(mult(mult(b, c), a), b)), a)))),
% 5.09/5.29 inference(symmetry,[status(thm)],[7200])).
% 5.09/5.29 tff(7849,plain,
% 5.09/5.29 (mult(mult(mult(b, a), mult(a, c)), mult(b, a)) = ld(mult(a, c), mult(mult(a, c), mult(mult(mult(b, a), mult(a, c)), mult(b, a))))),
% 5.09/5.29 inference(symmetry,[status(thm)],[7196])).
% 5.09/5.29 tff(7850,assumption,(mult(mult(mult(mult(b, a), mult(a, c)), b), a) = mult(mult(mult(b, a), mult(a, c)), mult(b, a))), introduced(assumption)).
% 5.09/5.29 tff(7851,plain,
% 5.09/5.29 (mult(mult(mult(mult(b, a), mult(a, c)), b), a) = mult(mult(a, mult(mult(mult(b, c), a), b)), a)),
% 5.09/5.29 inference(transitivity,[status(thm)],[7850, 7849, 7848, 7202])).
% 5.09/5.29 tff(7852,plain,
% 5.09/5.29 (rd(mult(mult(mult(mult(b, a), mult(a, c)), b), a), a) = rd(mult(mult(a, mult(mult(mult(b, c), a), b)), a), a)),
% 5.09/5.29 inference(monotonicity,[status(thm)],[7851])).
% 5.09/5.29 tff(7853,plain,
% 5.09/5.29 ((~![B: $i, A: $i] : (rd(mult(A, B), B) = A)) | (rd(mult(mult(mult(mult(b, a), mult(a, c)), b), a), a) = mult(mult(mult(b, a), mult(a, c)), b))),
% 5.09/5.29 inference(quant_inst,[status(thm)],[])).
% 5.09/5.29 tff(7854,plain,
% 5.09/5.29 (rd(mult(mult(mult(mult(b, a), mult(a, c)), b), a), a) = mult(mult(mult(b, a), mult(a, c)), b)),
% 5.09/5.29 inference(unit_resolution,[status(thm)],[7853, 72])).
% 5.09/5.29 tff(7855,plain,
% 5.09/5.29 (mult(mult(mult(b, a), mult(a, c)), b) = rd(mult(mult(mult(mult(b, a), mult(a, c)), b), a), a)),
% 5.09/5.29 inference(symmetry,[status(thm)],[7854])).
% 5.09/5.29 tff(7856,plain,
% 5.09/5.29 (mult(mult(b, mult(c, a)), a) = mult(mult(b, a), mult(a, c))),
% 5.09/5.29 inference(transitivity,[status(thm)],[4657, 3530])).
% 5.09/5.29 tff(7857,plain,
% 5.09/5.29 (mult(mult(mult(b, mult(c, a)), a), b) = mult(mult(mult(b, a), mult(a, c)), b)),
% 5.09/5.29 inference(monotonicity,[status(thm)],[7856])).
% 5.09/5.29 tff(7858,plain,
% 5.09/5.29 (mult(mult(mult(b, mult(c, a)), a), b) = mult(mult(mult(a, mult(c, b)), a), b)),
% 5.09/5.29 inference(transitivity,[status(thm)],[7857, 7855, 7852, 6157, 6141, 6138, 6135, 7058])).
% 5.09/5.29 tff(7859,plain,
% 5.09/5.29 (rd(mult(mult(mult(b, mult(c, a)), a), b), b) = rd(mult(mult(mult(a, mult(c, b)), a), b), b)),
% 5.09/5.29 inference(monotonicity,[status(thm)],[7858])).
% 5.09/5.29 tff(7860,plain,
% 5.09/5.29 ((~![B: $i, A: $i] : (rd(mult(A, B), B) = A)) | (rd(mult(mult(mult(b, mult(c, a)), a), b), b) = mult(mult(b, mult(c, a)), a))),
% 5.09/5.29 inference(quant_inst,[status(thm)],[])).
% 5.09/5.29 tff(7861,plain,
% 5.09/5.29 (rd(mult(mult(mult(b, mult(c, a)), a), b), b) = mult(mult(b, mult(c, a)), a)),
% 5.09/5.29 inference(unit_resolution,[status(thm)],[7860, 72])).
% 5.09/5.29 tff(7862,plain,
% 5.09/5.29 (mult(mult(b, mult(c, a)), a) = rd(mult(mult(mult(b, mult(c, a)), a), b), b)),
% 5.09/5.29 inference(symmetry,[status(thm)],[7861])).
% 5.09/5.29 tff(7863,plain,
% 5.09/5.29 (mult(mult(b, a), mult(a, c)) = mult(b, mult(a, mult(a, c)))),
% 5.09/5.29 inference(transitivity,[status(thm)],[4650, 4656, 7862, 7859, 7847, 5785, 5784, 5328])).
% 5.09/5.30 tff(7864,plain,
% 5.09/5.30 ($false),
% 5.09/5.30 inference(unit_resolution,[status(thm)],[5755, 7863])).
% 5.09/5.30 tff(7865,plain,((~(mult(mult(mult(mult(b, a), mult(a, c)), b), a) = mult(mult(mult(b, a), mult(a, c)), mult(b, a)))) | (mult(mult(b, a), mult(a, c)) = mult(b, mult(a, mult(a, c)))) | (~(mult(mult(a, mult(b, c)), a) = mult(a, mult(mult(b, c), a)))) | (~(mult(mult(a, c), mult(a, b)) = mult(a, mult(mult(a, b), c)))) | (~(mult(mult(mult(a, c), b), a) = mult(mult(a, c), mult(a, b)))) | (~(mult(mult(a, b), c) = mult(a, mult(c, b)))) | (~(mult(mult(a, c), b) = mult(a, mult(b, c)))) | (~(mult(mult(mult(a, b), c), a) = mult(mult(a, b), mult(a, c)))) | (~(mult(mult(mult(mult(mult(a, c), mult(b, a)), mult(a, c)), b), a) = mult(mult(mult(mult(a, c), mult(b, a)), mult(a, c)), mult(b, a)))) | (~(mult(mult(mult(a, c), a), b) = mult(mult(a, c), mult(b, a))))), inference(lemma,lemma(discharge,[]))).
% 5.09/5.30 tff(7866,plain,
% 5.09/5.30 (~(mult(mult(mult(mult(b, a), mult(a, c)), b), a) = mult(mult(mult(b, a), mult(a, c)), mult(b, a)))),
% 5.09/5.30 inference(unit_resolution,[status(thm)],[7865, 6725, 5309, 4654, 971, 91, 97, 5305, 5742, 1526])).
% 5.09/5.30 tff(7867,plain,
% 5.09/5.30 (((~(mult(mult(mult(mult(b, a), mult(a, c)), a), b) = mult(mult(mult(b, a), mult(a, c)), mult(a, b)))) | (~(mult(mult(mult(mult(b, a), mult(a, c)), b), a) = mult(mult(mult(b, a), mult(a, c)), mult(b, a))))) | (mult(mult(mult(mult(b, a), mult(a, c)), b), a) = mult(mult(mult(b, a), mult(a, c)), mult(b, a)))),
% 5.09/5.30 inference(tautology,[status(thm)],[])).
% 5.09/5.30 tff(7868,plain,
% 5.09/5.30 ((~(mult(mult(mult(mult(b, a), mult(a, c)), a), b) = mult(mult(mult(b, a), mult(a, c)), mult(a, b)))) | (~(mult(mult(mult(mult(b, a), mult(a, c)), b), a) = mult(mult(mult(b, a), mult(a, c)), mult(b, a))))),
% 5.09/5.30 inference(unit_resolution,[status(thm)],[7867, 7866])).
% 5.09/5.30 tff(7869,plain,
% 5.09/5.30 (((~![X0: $i, X1: $i, X2: $i] : ((~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X2, X1)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X1, X2)))))) | (~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X1, X2)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X2, X1)))))))) | ((~((~(mult(mult(mult(mult(b, a), mult(a, c)), a), b) = mult(mult(mult(b, a), mult(a, c)), mult(a, b)))) | (~(mult(mult(mult(mult(b, a), mult(a, c)), b), a) = mult(mult(mult(b, a), mult(a, c)), mult(b, a)))))) | (~((~(mult(mult(mult(mult(b, a), mult(a, c)), b), a) = mult(mult(mult(b, a), mult(a, c)), mult(a, b)))) | (~(mult(mult(mult(mult(b, a), mult(a, c)), a), b) = mult(mult(mult(b, a), mult(a, c)), mult(b, a)))))))) <=> ((~![X0: $i, X1: $i, X2: $i] : ((~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X2, X1)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X1, X2)))))) | (~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X1, X2)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X2, X1)))))))) | (~((~(mult(mult(mult(mult(b, a), mult(a, c)), a), b) = mult(mult(mult(b, a), mult(a, c)), mult(a, b)))) | (~(mult(mult(mult(mult(b, a), mult(a, c)), b), a) = mult(mult(mult(b, a), mult(a, c)), mult(b, a)))))) | (~((~(mult(mult(mult(mult(b, a), mult(a, c)), b), a) = mult(mult(mult(b, a), mult(a, c)), mult(a, b)))) | (~(mult(mult(mult(mult(b, a), mult(a, c)), a), b) = mult(mult(mult(b, a), mult(a, c)), mult(b, a)))))))),
% 5.09/5.30 inference(rewrite,[status(thm)],[])).
% 5.09/5.30 tff(7870,plain,
% 5.09/5.30 (((~((~(mult(mult(mult(mult(b, a), mult(a, c)), b), a) = mult(mult(mult(b, a), mult(a, c)), mult(a, b)))) | (~(mult(mult(mult(mult(b, a), mult(a, c)), a), b) = mult(mult(mult(b, a), mult(a, c)), mult(b, a)))))) | (~((~(mult(mult(mult(mult(b, a), mult(a, c)), a), b) = mult(mult(mult(b, a), mult(a, c)), mult(a, b)))) | (~(mult(mult(mult(mult(b, a), mult(a, c)), b), a) = mult(mult(mult(b, a), mult(a, c)), mult(b, a))))))) <=> ((~((~(mult(mult(mult(mult(b, a), mult(a, c)), a), b) = mult(mult(mult(b, a), mult(a, c)), mult(a, b)))) | (~(mult(mult(mult(mult(b, a), mult(a, c)), b), a) = mult(mult(mult(b, a), mult(a, c)), mult(b, a)))))) | (~((~(mult(mult(mult(mult(b, a), mult(a, c)), b), a) = mult(mult(mult(b, a), mult(a, c)), mult(a, b)))) | (~(mult(mult(mult(mult(b, a), mult(a, c)), a), b) = mult(mult(mult(b, a), mult(a, c)), mult(b, a)))))))),
% 5.09/5.30 inference(rewrite,[status(thm)],[])).
% 5.09/5.30 tff(7871,plain,
% 5.09/5.30 ((~((~(mult(mult(mult(mult(b, a), mult(a, c)), b), a) = mult(mult(mult(b, a), mult(a, c)), mult(b, a)))) | (~(mult(mult(mult(mult(b, a), mult(a, c)), a), b) = mult(mult(mult(b, a), mult(a, c)), mult(a, b)))))) <=> (~((~(mult(mult(mult(mult(b, a), mult(a, c)), a), b) = mult(mult(mult(b, a), mult(a, c)), mult(a, b)))) | (~(mult(mult(mult(mult(b, a), mult(a, c)), b), a) = mult(mult(mult(b, a), mult(a, c)), mult(b, a))))))),
% 5.09/5.30 inference(rewrite,[status(thm)],[])).
% 5.09/5.30 tff(7872,plain,
% 5.09/5.30 ((~((~(mult(mult(mult(mult(b, a), mult(a, c)), b), a) = mult(mult(mult(b, a), mult(a, c)), mult(a, b)))) | (~(mult(mult(mult(mult(b, a), mult(a, c)), a), b) = mult(mult(mult(b, a), mult(a, c)), mult(b, a)))))) <=> (~((~(mult(mult(mult(mult(b, a), mult(a, c)), b), a) = mult(mult(mult(b, a), mult(a, c)), mult(a, b)))) | (~(mult(mult(mult(mult(b, a), mult(a, c)), a), b) = mult(mult(mult(b, a), mult(a, c)), mult(b, a))))))),
% 5.09/5.30 inference(rewrite,[status(thm)],[])).
% 5.09/5.30 tff(7873,plain,
% 5.09/5.30 (((~((~(mult(mult(mult(mult(b, a), mult(a, c)), b), a) = mult(mult(mult(b, a), mult(a, c)), mult(a, b)))) | (~(mult(mult(mult(mult(b, a), mult(a, c)), a), b) = mult(mult(mult(b, a), mult(a, c)), mult(b, a)))))) | (~((~(mult(mult(mult(mult(b, a), mult(a, c)), b), a) = mult(mult(mult(b, a), mult(a, c)), mult(b, a)))) | (~(mult(mult(mult(mult(b, a), mult(a, c)), a), b) = mult(mult(mult(b, a), mult(a, c)), mult(a, b))))))) <=> ((~((~(mult(mult(mult(mult(b, a), mult(a, c)), b), a) = mult(mult(mult(b, a), mult(a, c)), mult(a, b)))) | (~(mult(mult(mult(mult(b, a), mult(a, c)), a), b) = mult(mult(mult(b, a), mult(a, c)), mult(b, a)))))) | (~((~(mult(mult(mult(mult(b, a), mult(a, c)), a), b) = mult(mult(mult(b, a), mult(a, c)), mult(a, b)))) | (~(mult(mult(mult(mult(b, a), mult(a, c)), b), a) = mult(mult(mult(b, a), mult(a, c)), mult(b, a)))))))),
% 5.09/5.30 inference(monotonicity,[status(thm)],[7872, 7871])).
% 5.09/5.30 tff(7874,plain,
% 5.09/5.30 (((~((~(mult(mult(mult(mult(b, a), mult(a, c)), b), a) = mult(mult(mult(b, a), mult(a, c)), mult(a, b)))) | (~(mult(mult(mult(mult(b, a), mult(a, c)), a), b) = mult(mult(mult(b, a), mult(a, c)), mult(b, a)))))) | (~((~(mult(mult(mult(mult(b, a), mult(a, c)), b), a) = mult(mult(mult(b, a), mult(a, c)), mult(b, a)))) | (~(mult(mult(mult(mult(b, a), mult(a, c)), a), b) = mult(mult(mult(b, a), mult(a, c)), mult(a, b))))))) <=> ((~((~(mult(mult(mult(mult(b, a), mult(a, c)), a), b) = mult(mult(mult(b, a), mult(a, c)), mult(a, b)))) | (~(mult(mult(mult(mult(b, a), mult(a, c)), b), a) = mult(mult(mult(b, a), mult(a, c)), mult(b, a)))))) | (~((~(mult(mult(mult(mult(b, a), mult(a, c)), b), a) = mult(mult(mult(b, a), mult(a, c)), mult(a, b)))) | (~(mult(mult(mult(mult(b, a), mult(a, c)), a), b) = mult(mult(mult(b, a), mult(a, c)), mult(b, a)))))))),
% 5.09/5.30 inference(transitivity,[status(thm)],[7873, 7870])).
% 5.09/5.30 tff(7875,plain,
% 5.09/5.30 (((~![X0: $i, X1: $i, X2: $i] : ((~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X2, X1)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X1, X2)))))) | (~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X1, X2)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X2, X1)))))))) | ((~((~(mult(mult(mult(mult(b, a), mult(a, c)), b), a) = mult(mult(mult(b, a), mult(a, c)), mult(a, b)))) | (~(mult(mult(mult(mult(b, a), mult(a, c)), a), b) = mult(mult(mult(b, a), mult(a, c)), mult(b, a)))))) | (~((~(mult(mult(mult(mult(b, a), mult(a, c)), b), a) = mult(mult(mult(b, a), mult(a, c)), mult(b, a)))) | (~(mult(mult(mult(mult(b, a), mult(a, c)), a), b) = mult(mult(mult(b, a), mult(a, c)), mult(a, b)))))))) <=> ((~![X0: $i, X1: $i, X2: $i] : ((~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X2, X1)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X1, X2)))))) | (~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X1, X2)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X2, X1)))))))) | ((~((~(mult(mult(mult(mult(b, a), mult(a, c)), a), b) = mult(mult(mult(b, a), mult(a, c)), mult(a, b)))) | (~(mult(mult(mult(mult(b, a), mult(a, c)), b), a) = mult(mult(mult(b, a), mult(a, c)), mult(b, a)))))) | (~((~(mult(mult(mult(mult(b, a), mult(a, c)), b), a) = mult(mult(mult(b, a), mult(a, c)), mult(a, b)))) | (~(mult(mult(mult(mult(b, a), mult(a, c)), a), b) = mult(mult(mult(b, a), mult(a, c)), mult(b, a))))))))),
% 5.09/5.30 inference(monotonicity,[status(thm)],[7874])).
% 5.09/5.30 tff(7876,plain,
% 5.09/5.30 (((~![X0: $i, X1: $i, X2: $i] : ((~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X2, X1)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X1, X2)))))) | (~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X1, X2)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X2, X1)))))))) | ((~((~(mult(mult(mult(mult(b, a), mult(a, c)), b), a) = mult(mult(mult(b, a), mult(a, c)), mult(a, b)))) | (~(mult(mult(mult(mult(b, a), mult(a, c)), a), b) = mult(mult(mult(b, a), mult(a, c)), mult(b, a)))))) | (~((~(mult(mult(mult(mult(b, a), mult(a, c)), b), a) = mult(mult(mult(b, a), mult(a, c)), mult(b, a)))) | (~(mult(mult(mult(mult(b, a), mult(a, c)), a), b) = mult(mult(mult(b, a), mult(a, c)), mult(a, b)))))))) <=> ((~![X0: $i, X1: $i, X2: $i] : ((~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X2, X1)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X1, X2)))))) | (~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X1, X2)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X2, X1)))))))) | (~((~(mult(mult(mult(mult(b, a), mult(a, c)), a), b) = mult(mult(mult(b, a), mult(a, c)), mult(a, b)))) | (~(mult(mult(mult(mult(b, a), mult(a, c)), b), a) = mult(mult(mult(b, a), mult(a, c)), mult(b, a)))))) | (~((~(mult(mult(mult(mult(b, a), mult(a, c)), b), a) = mult(mult(mult(b, a), mult(a, c)), mult(a, b)))) | (~(mult(mult(mult(mult(b, a), mult(a, c)), a), b) = mult(mult(mult(b, a), mult(a, c)), mult(b, a)))))))),
% 5.09/5.30 inference(transitivity,[status(thm)],[7875, 7869])).
% 5.09/5.30 tff(7877,plain,
% 5.09/5.30 ((~![X0: $i, X1: $i, X2: $i] : ((~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X2, X1)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X1, X2)))))) | (~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X1, X2)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X2, X1)))))))) | ((~((~(mult(mult(mult(mult(b, a), mult(a, c)), b), a) = mult(mult(mult(b, a), mult(a, c)), mult(a, b)))) | (~(mult(mult(mult(mult(b, a), mult(a, c)), a), b) = mult(mult(mult(b, a), mult(a, c)), mult(b, a)))))) | (~((~(mult(mult(mult(mult(b, a), mult(a, c)), b), a) = mult(mult(mult(b, a), mult(a, c)), mult(b, a)))) | (~(mult(mult(mult(mult(b, a), mult(a, c)), a), b) = mult(mult(mult(b, a), mult(a, c)), mult(a, b)))))))),
% 5.09/5.30 inference(quant_inst,[status(thm)],[])).
% 5.09/5.30 tff(7878,plain,
% 5.09/5.30 ((~![X0: $i, X1: $i, X2: $i] : ((~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X2, X1)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X1, X2)))))) | (~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X1, X2)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X2, X1)))))))) | (~((~(mult(mult(mult(mult(b, a), mult(a, c)), a), b) = mult(mult(mult(b, a), mult(a, c)), mult(a, b)))) | (~(mult(mult(mult(mult(b, a), mult(a, c)), b), a) = mult(mult(mult(b, a), mult(a, c)), mult(b, a)))))) | (~((~(mult(mult(mult(mult(b, a), mult(a, c)), b), a) = mult(mult(mult(b, a), mult(a, c)), mult(a, b)))) | (~(mult(mult(mult(mult(b, a), mult(a, c)), a), b) = mult(mult(mult(b, a), mult(a, c)), mult(b, a))))))),
% 5.09/5.30 inference(modus_ponens,[status(thm)],[7877, 7876])).
% 5.09/5.30 tff(7879,plain,
% 5.09/5.30 ((~((~(mult(mult(mult(mult(b, a), mult(a, c)), a), b) = mult(mult(mult(b, a), mult(a, c)), mult(a, b)))) | (~(mult(mult(mult(mult(b, a), mult(a, c)), b), a) = mult(mult(mult(b, a), mult(a, c)), mult(b, a)))))) | (~((~(mult(mult(mult(mult(b, a), mult(a, c)), b), a) = mult(mult(mult(b, a), mult(a, c)), mult(a, b)))) | (~(mult(mult(mult(mult(b, a), mult(a, c)), a), b) = mult(mult(mult(b, a), mult(a, c)), mult(b, a))))))),
% 5.09/5.30 inference(unit_resolution,[status(thm)],[7878, 30])).
% 5.09/5.30 tff(7880,plain,
% 5.09/5.30 (~((~(mult(mult(mult(mult(b, a), mult(a, c)), b), a) = mult(mult(mult(b, a), mult(a, c)), mult(a, b)))) | (~(mult(mult(mult(mult(b, a), mult(a, c)), a), b) = mult(mult(mult(b, a), mult(a, c)), mult(b, a)))))),
% 5.09/5.30 inference(unit_resolution,[status(thm)],[7879, 7868])).
% 5.09/5.30 tff(7881,plain,
% 5.09/5.30 (((~(mult(mult(mult(mult(b, a), mult(a, c)), b), a) = mult(mult(mult(b, a), mult(a, c)), mult(a, b)))) | (~(mult(mult(mult(mult(b, a), mult(a, c)), a), b) = mult(mult(mult(b, a), mult(a, c)), mult(b, a))))) | (mult(mult(mult(mult(b, a), mult(a, c)), b), a) = mult(mult(mult(b, a), mult(a, c)), mult(a, b)))),
% 5.09/5.30 inference(tautology,[status(thm)],[])).
% 5.09/5.30 tff(7882,plain,
% 5.09/5.30 (mult(mult(mult(mult(b, a), mult(a, c)), b), a) = mult(mult(mult(b, a), mult(a, c)), mult(a, b))),
% 5.09/5.30 inference(unit_resolution,[status(thm)],[7881, 7880])).
% 5.09/5.30 tff(7883,plain,
% 5.09/5.30 (mult(mult(mult(mult(b, mult(c, a)), a), b), a) = mult(mult(mult(mult(b, a), mult(a, c)), b), a)),
% 5.09/5.30 inference(monotonicity,[status(thm)],[7857])).
% 5.09/5.30 tff(7884,plain,
% 5.09/5.30 (mult(mult(b, mult(c, a)), mult(mult(a, b), a)) = mult(mult(mult(mult(b, mult(c, a)), a), b), a)),
% 5.09/5.30 inference(symmetry,[status(thm)],[4198])).
% 5.09/5.30 tff(7885,plain,
% 5.09/5.30 (mult(mult(b, mult(c, a)), mult(a, mult(b, a))) = mult(mult(mult(b, a), mult(a, c)), mult(a, b))),
% 5.09/5.30 inference(transitivity,[status(thm)],[4195, 7884, 7883, 7882])).
% 5.09/5.30 tff(7886,plain,
% 5.09/5.30 (((~(mult(mult(mult(mult(b, a), mult(a, c)), b), a) = mult(mult(mult(b, a), mult(a, c)), mult(a, b)))) | (~(mult(mult(mult(mult(b, a), mult(a, c)), a), b) = mult(mult(mult(b, a), mult(a, c)), mult(b, a))))) | (mult(mult(mult(mult(b, a), mult(a, c)), a), b) = mult(mult(mult(b, a), mult(a, c)), mult(b, a)))),
% 5.09/5.30 inference(tautology,[status(thm)],[])).
% 5.09/5.30 tff(7887,plain,
% 5.09/5.30 (mult(mult(mult(mult(b, a), mult(a, c)), a), b) = mult(mult(mult(b, a), mult(a, c)), mult(b, a))),
% 5.09/5.30 inference(unit_resolution,[status(thm)],[7886, 7880])).
% 5.09/5.30 tff(7888,plain,
% 5.09/5.30 (mult(mult(mult(b, a), mult(a, c)), mult(b, a)) = mult(mult(mult(mult(b, a), mult(a, c)), a), b)),
% 5.09/5.30 inference(symmetry,[status(thm)],[7887])).
% 5.09/5.30 tff(7889,plain,
% 5.09/5.30 (mult(mult(b, a), mult(a, c)) = mult(mult(b, mult(c, a)), a)),
% 5.09/5.30 inference(transitivity,[status(thm)],[4650, 4656])).
% 5.09/5.30 tff(7890,plain,
% 5.09/5.30 (mult(mult(mult(b, a), mult(a, c)), mult(b, a)) = mult(mult(mult(b, mult(c, a)), a), mult(b, a))),
% 5.09/5.30 inference(monotonicity,[status(thm)],[7889])).
% 5.09/5.30 tff(7891,plain,
% 5.09/5.30 (mult(mult(mult(b, mult(c, a)), a), mult(b, a)) = mult(mult(mult(b, a), mult(a, c)), mult(b, a))),
% 5.09/5.30 inference(symmetry,[status(thm)],[7890])).
% 5.09/5.30 tff(7892,plain,
% 5.09/5.30 (mult(mult(mult(b, mult(c, a)), a), mult(b, a)) = mult(mult(mult(mult(b, a), mult(a, c)), a), b)),
% 5.09/5.30 inference(transitivity,[status(thm)],[7891, 7888])).
% 5.09/5.30 tff(7893,plain,
% 5.09/5.30 ((mult(mult(mult(b, mult(c, a)), a), mult(b, a)) = mult(mult(b, mult(c, a)), mult(a, mult(b, a)))) <=> (mult(mult(mult(mult(b, a), mult(a, c)), a), b) = mult(mult(mult(b, a), mult(a, c)), mult(a, b)))),
% 5.09/5.30 inference(monotonicity,[status(thm)],[7892, 7885])).
% 5.09/5.30 tff(7894,plain,
% 5.09/5.30 ((mult(mult(mult(mult(b, a), mult(a, c)), a), b) = mult(mult(mult(b, a), mult(a, c)), mult(a, b))) <=> (mult(mult(mult(b, mult(c, a)), a), mult(b, a)) = mult(mult(b, mult(c, a)), mult(a, mult(b, a))))),
% 5.09/5.30 inference(symmetry,[status(thm)],[7893])).
% 5.09/5.30 tff(7895,plain,
% 5.09/5.30 ((~(mult(mult(mult(mult(b, a), mult(a, c)), a), b) = mult(mult(mult(b, a), mult(a, c)), mult(a, b)))) <=> (~(mult(mult(mult(b, mult(c, a)), a), mult(b, a)) = mult(mult(b, mult(c, a)), mult(a, mult(b, a)))))),
% 5.09/5.30 inference(monotonicity,[status(thm)],[7894])).
% 5.09/5.30 tff(7896,plain,
% 5.09/5.30 ((mult(mult(mult(b, a), mult(a, c)), mult(a, b)) = mult(mult(mult(mult(b, a), mult(a, c)), a), b)) <=> (mult(mult(mult(mult(b, a), mult(a, c)), a), b) = mult(mult(mult(b, a), mult(a, c)), mult(a, b)))),
% 5.09/5.30 inference(commutativity,[status(thm)],[])).
% 5.09/5.30 tff(7897,plain,
% 5.09/5.30 ((mult(mult(mult(mult(b, a), mult(a, c)), b), a) = mult(mult(mult(b, a), mult(a, c)), mult(b, a))) <=> (mult(mult(mult(b, a), mult(a, c)), mult(a, b)) = mult(mult(mult(mult(b, a), mult(a, c)), a), b))),
% 5.09/5.30 inference(monotonicity,[status(thm)],[7882, 7888])).
% 5.09/5.30 tff(7898,plain,
% 5.09/5.30 ((mult(mult(mult(mult(b, a), mult(a, c)), b), a) = mult(mult(mult(b, a), mult(a, c)), mult(b, a))) <=> (mult(mult(mult(mult(b, a), mult(a, c)), a), b) = mult(mult(mult(b, a), mult(a, c)), mult(a, b)))),
% 5.09/5.30 inference(transitivity,[status(thm)],[7897, 7896])).
% 5.09/5.30 tff(7899,plain,
% 5.09/5.30 ((~(mult(mult(mult(mult(b, a), mult(a, c)), b), a) = mult(mult(mult(b, a), mult(a, c)), mult(b, a)))) <=> (~(mult(mult(mult(mult(b, a), mult(a, c)), a), b) = mult(mult(mult(b, a), mult(a, c)), mult(a, b))))),
% 5.09/5.31 inference(monotonicity,[status(thm)],[7898])).
% 5.09/5.31 tff(7900,plain,
% 5.09/5.31 (~(mult(mult(mult(mult(b, a), mult(a, c)), a), b) = mult(mult(mult(b, a), mult(a, c)), mult(a, b)))),
% 5.09/5.31 inference(modus_ponens,[status(thm)],[7866, 7899])).
% 5.09/5.31 tff(7901,plain,
% 5.09/5.31 (~(mult(mult(mult(b, mult(c, a)), a), mult(b, a)) = mult(mult(b, mult(c, a)), mult(a, mult(b, a))))),
% 5.09/5.31 inference(modus_ponens,[status(thm)],[7900, 7895])).
% 5.09/5.31 tff(7902,plain,
% 5.09/5.31 (((~(mult(mult(mult(b, mult(c, a)), mult(b, a)), a) = mult(mult(b, mult(c, a)), mult(mult(b, a), a)))) | (~(mult(mult(mult(b, mult(c, a)), a), mult(b, a)) = mult(mult(b, mult(c, a)), mult(a, mult(b, a)))))) | (mult(mult(mult(b, mult(c, a)), a), mult(b, a)) = mult(mult(b, mult(c, a)), mult(a, mult(b, a))))),
% 5.09/5.31 inference(tautology,[status(thm)],[])).
% 5.09/5.31 tff(7903,plain,
% 5.09/5.31 ((~(mult(mult(mult(b, mult(c, a)), mult(b, a)), a) = mult(mult(b, mult(c, a)), mult(mult(b, a), a)))) | (~(mult(mult(mult(b, mult(c, a)), a), mult(b, a)) = mult(mult(b, mult(c, a)), mult(a, mult(b, a)))))),
% 5.09/5.31 inference(unit_resolution,[status(thm)],[7902, 7901])).
% 5.09/5.31 tff(7904,plain,
% 5.09/5.31 (((~![X0: $i, X1: $i, X2: $i] : ((~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X2, X1)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X1, X2)))))) | (~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X1, X2)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X2, X1)))))))) | ((~((~(mult(mult(mult(b, mult(c, a)), a), mult(b, a)) = mult(mult(b, mult(c, a)), mult(mult(b, a), a)))) | (~(mult(mult(mult(b, mult(c, a)), mult(b, a)), a) = mult(mult(b, mult(c, a)), mult(a, mult(b, a))))))) | (~((~(mult(mult(mult(b, mult(c, a)), mult(b, a)), a) = mult(mult(b, mult(c, a)), mult(mult(b, a), a)))) | (~(mult(mult(mult(b, mult(c, a)), a), mult(b, a)) = mult(mult(b, mult(c, a)), mult(a, mult(b, a))))))))) <=> ((~![X0: $i, X1: $i, X2: $i] : ((~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X2, X1)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X1, X2)))))) | (~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X1, X2)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X2, X1)))))))) | (~((~(mult(mult(mult(b, mult(c, a)), a), mult(b, a)) = mult(mult(b, mult(c, a)), mult(mult(b, a), a)))) | (~(mult(mult(mult(b, mult(c, a)), mult(b, a)), a) = mult(mult(b, mult(c, a)), mult(a, mult(b, a))))))) | (~((~(mult(mult(mult(b, mult(c, a)), mult(b, a)), a) = mult(mult(b, mult(c, a)), mult(mult(b, a), a)))) | (~(mult(mult(mult(b, mult(c, a)), a), mult(b, a)) = mult(mult(b, mult(c, a)), mult(a, mult(b, a))))))))),
% 5.09/5.31 inference(rewrite,[status(thm)],[])).
% 5.09/5.31 tff(7905,plain,
% 5.09/5.31 (((~((~(mult(mult(mult(b, mult(c, a)), mult(b, a)), a) = mult(mult(b, mult(c, a)), mult(a, mult(b, a))))) | (~(mult(mult(mult(b, mult(c, a)), a), mult(b, a)) = mult(mult(b, mult(c, a)), mult(mult(b, a), a)))))) | (~((~(mult(mult(mult(b, mult(c, a)), mult(b, a)), a) = mult(mult(b, mult(c, a)), mult(mult(b, a), a)))) | (~(mult(mult(mult(b, mult(c, a)), a), mult(b, a)) = mult(mult(b, mult(c, a)), mult(a, mult(b, a)))))))) <=> ((~((~(mult(mult(mult(b, mult(c, a)), a), mult(b, a)) = mult(mult(b, mult(c, a)), mult(mult(b, a), a)))) | (~(mult(mult(mult(b, mult(c, a)), mult(b, a)), a) = mult(mult(b, mult(c, a)), mult(a, mult(b, a))))))) | (~((~(mult(mult(mult(b, mult(c, a)), mult(b, a)), a) = mult(mult(b, mult(c, a)), mult(mult(b, a), a)))) | (~(mult(mult(mult(b, mult(c, a)), a), mult(b, a)) = mult(mult(b, mult(c, a)), mult(a, mult(b, a))))))))),
% 5.09/5.31 inference(rewrite,[status(thm)],[])).
% 5.09/5.31 tff(7906,plain,
% 5.09/5.31 (((~![X0: $i, X1: $i, X2: $i] : ((~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X2, X1)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X1, X2)))))) | (~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X1, X2)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X2, X1)))))))) | ((~((~(mult(mult(mult(b, mult(c, a)), mult(b, a)), a) = mult(mult(b, mult(c, a)), mult(a, mult(b, a))))) | (~(mult(mult(mult(b, mult(c, a)), a), mult(b, a)) = mult(mult(b, mult(c, a)), mult(mult(b, a), a)))))) | (~((~(mult(mult(mult(b, mult(c, a)), mult(b, a)), a) = mult(mult(b, mult(c, a)), mult(mult(b, a), a)))) | (~(mult(mult(mult(b, mult(c, a)), a), mult(b, a)) = mult(mult(b, mult(c, a)), mult(a, mult(b, a))))))))) <=> ((~![X0: $i, X1: $i, X2: $i] : ((~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X2, X1)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X1, X2)))))) | (~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X1, X2)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X2, X1)))))))) | ((~((~(mult(mult(mult(b, mult(c, a)), a), mult(b, a)) = mult(mult(b, mult(c, a)), mult(mult(b, a), a)))) | (~(mult(mult(mult(b, mult(c, a)), mult(b, a)), a) = mult(mult(b, mult(c, a)), mult(a, mult(b, a))))))) | (~((~(mult(mult(mult(b, mult(c, a)), mult(b, a)), a) = mult(mult(b, mult(c, a)), mult(mult(b, a), a)))) | (~(mult(mult(mult(b, mult(c, a)), a), mult(b, a)) = mult(mult(b, mult(c, a)), mult(a, mult(b, a)))))))))),
% 5.09/5.31 inference(monotonicity,[status(thm)],[7905])).
% 5.09/5.31 tff(7907,plain,
% 5.09/5.31 (((~![X0: $i, X1: $i, X2: $i] : ((~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X2, X1)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X1, X2)))))) | (~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X1, X2)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X2, X1)))))))) | ((~((~(mult(mult(mult(b, mult(c, a)), mult(b, a)), a) = mult(mult(b, mult(c, a)), mult(a, mult(b, a))))) | (~(mult(mult(mult(b, mult(c, a)), a), mult(b, a)) = mult(mult(b, mult(c, a)), mult(mult(b, a), a)))))) | (~((~(mult(mult(mult(b, mult(c, a)), mult(b, a)), a) = mult(mult(b, mult(c, a)), mult(mult(b, a), a)))) | (~(mult(mult(mult(b, mult(c, a)), a), mult(b, a)) = mult(mult(b, mult(c, a)), mult(a, mult(b, a))))))))) <=> ((~![X0: $i, X1: $i, X2: $i] : ((~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X2, X1)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X1, X2)))))) | (~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X1, X2)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X2, X1)))))))) | (~((~(mult(mult(mult(b, mult(c, a)), a), mult(b, a)) = mult(mult(b, mult(c, a)), mult(mult(b, a), a)))) | (~(mult(mult(mult(b, mult(c, a)), mult(b, a)), a) = mult(mult(b, mult(c, a)), mult(a, mult(b, a))))))) | (~((~(mult(mult(mult(b, mult(c, a)), mult(b, a)), a) = mult(mult(b, mult(c, a)), mult(mult(b, a), a)))) | (~(mult(mult(mult(b, mult(c, a)), a), mult(b, a)) = mult(mult(b, mult(c, a)), mult(a, mult(b, a))))))))),
% 5.09/5.31 inference(transitivity,[status(thm)],[7906, 7904])).
% 5.09/5.31 tff(7908,plain,
% 5.09/5.31 ((~![X0: $i, X1: $i, X2: $i] : ((~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X2, X1)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X1, X2)))))) | (~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X1, X2)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X2, X1)))))))) | ((~((~(mult(mult(mult(b, mult(c, a)), mult(b, a)), a) = mult(mult(b, mult(c, a)), mult(a, mult(b, a))))) | (~(mult(mult(mult(b, mult(c, a)), a), mult(b, a)) = mult(mult(b, mult(c, a)), mult(mult(b, a), a)))))) | (~((~(mult(mult(mult(b, mult(c, a)), mult(b, a)), a) = mult(mult(b, mult(c, a)), mult(mult(b, a), a)))) | (~(mult(mult(mult(b, mult(c, a)), a), mult(b, a)) = mult(mult(b, mult(c, a)), mult(a, mult(b, a))))))))),
% 5.09/5.31 inference(quant_inst,[status(thm)],[])).
% 5.09/5.31 tff(7909,plain,
% 5.09/5.31 ((~![X0: $i, X1: $i, X2: $i] : ((~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X2, X1)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X1, X2)))))) | (~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X1, X2)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X2, X1)))))))) | (~((~(mult(mult(mult(b, mult(c, a)), a), mult(b, a)) = mult(mult(b, mult(c, a)), mult(mult(b, a), a)))) | (~(mult(mult(mult(b, mult(c, a)), mult(b, a)), a) = mult(mult(b, mult(c, a)), mult(a, mult(b, a))))))) | (~((~(mult(mult(mult(b, mult(c, a)), mult(b, a)), a) = mult(mult(b, mult(c, a)), mult(mult(b, a), a)))) | (~(mult(mult(mult(b, mult(c, a)), a), mult(b, a)) = mult(mult(b, mult(c, a)), mult(a, mult(b, a)))))))),
% 5.09/5.31 inference(modus_ponens,[status(thm)],[7908, 7907])).
% 5.09/5.31 tff(7910,plain,
% 5.09/5.31 ((~((~(mult(mult(mult(b, mult(c, a)), a), mult(b, a)) = mult(mult(b, mult(c, a)), mult(mult(b, a), a)))) | (~(mult(mult(mult(b, mult(c, a)), mult(b, a)), a) = mult(mult(b, mult(c, a)), mult(a, mult(b, a))))))) | (~((~(mult(mult(mult(b, mult(c, a)), mult(b, a)), a) = mult(mult(b, mult(c, a)), mult(mult(b, a), a)))) | (~(mult(mult(mult(b, mult(c, a)), a), mult(b, a)) = mult(mult(b, mult(c, a)), mult(a, mult(b, a)))))))),
% 5.09/5.31 inference(unit_resolution,[status(thm)],[7909, 30])).
% 5.09/5.31 tff(7911,plain,
% 5.09/5.31 (~((~(mult(mult(mult(b, mult(c, a)), a), mult(b, a)) = mult(mult(b, mult(c, a)), mult(mult(b, a), a)))) | (~(mult(mult(mult(b, mult(c, a)), mult(b, a)), a) = mult(mult(b, mult(c, a)), mult(a, mult(b, a))))))),
% 5.09/5.31 inference(unit_resolution,[status(thm)],[7910, 7903])).
% 5.09/5.31 tff(7912,plain,
% 5.09/5.31 (((~(mult(mult(mult(b, mult(c, a)), a), mult(b, a)) = mult(mult(b, mult(c, a)), mult(mult(b, a), a)))) | (~(mult(mult(mult(b, mult(c, a)), mult(b, a)), a) = mult(mult(b, mult(c, a)), mult(a, mult(b, a)))))) | (mult(mult(mult(b, mult(c, a)), a), mult(b, a)) = mult(mult(b, mult(c, a)), mult(mult(b, a), a)))),
% 5.09/5.31 inference(tautology,[status(thm)],[])).
% 5.09/5.31 tff(7913,plain,
% 5.09/5.31 (mult(mult(mult(b, mult(c, a)), a), mult(b, a)) = mult(mult(b, mult(c, a)), mult(mult(b, a), a))),
% 5.09/5.31 inference(unit_resolution,[status(thm)],[7912, 7911])).
% 5.09/5.31 tff(7914,plain,
% 5.09/5.31 (mult(mult(b, mult(c, a)), mult(mult(b, a), a)) = mult(mult(mult(b, mult(c, a)), a), mult(b, a))),
% 5.09/5.31 inference(symmetry,[status(thm)],[7913])).
% 5.09/5.31 tff(7915,plain,
% 5.09/5.31 (ld(mult(mult(b, c), a), mult(mult(mult(b, c), a), mult(mult(a, a), b))) = ld(mult(mult(b, c), a), mult(mult(mult(b, c), a), mult(mult(b, a), a)))),
% 5.09/5.31 inference(symmetry,[status(thm)],[7547])).
% 5.09/5.31 tff(7916,plain,
% 5.09/5.31 (mult(mult(a, a), b) = ld(mult(mult(b, c), a), mult(mult(mult(b, c), a), mult(mult(a, a), b)))),
% 5.09/5.31 inference(symmetry,[status(thm)],[7231])).
% 5.09/5.31 tff(7917,plain,
% 5.09/5.31 (mult(mult(a, a), b) = mult(mult(b, a), a)),
% 5.09/5.31 inference(transitivity,[status(thm)],[7916, 7915, 7549])).
% 5.09/5.31 tff(7918,plain,
% 5.09/5.31 (mult(mult(b, mult(c, a)), mult(mult(a, a), b)) = mult(mult(b, mult(c, a)), mult(mult(b, a), a))),
% 5.09/5.31 inference(monotonicity,[status(thm)],[7917])).
% 5.09/5.31 tff(7919,plain,
% 5.09/5.31 (mult(mult(b, mult(c, a)), mult(a, mult(a, b))) = mult(mult(b, mult(c, a)), mult(mult(a, a), b))),
% 5.09/5.31 inference(monotonicity,[status(thm)],[6193])).
% 5.09/5.31 tff(7920,plain,
% 5.09/5.31 (mult(mult(b, mult(c, a)), mult(a, mult(a, b))) = mult(mult(mult(mult(b, a), mult(a, c)), a), b)),
% 5.09/5.31 inference(transitivity,[status(thm)],[7919, 7918, 7914, 7891, 7888])).
% 5.09/5.31 tff(7921,plain,
% 5.09/5.31 (mult(mult(mult(b, mult(c, a)), a), mult(a, b)) = mult(mult(mult(b, a), mult(a, c)), mult(a, b))),
% 5.09/5.31 inference(monotonicity,[status(thm)],[7856])).
% 5.09/5.31 tff(7922,plain,
% 5.09/5.31 ((mult(mult(mult(b, mult(c, a)), a), mult(a, b)) = mult(mult(b, mult(c, a)), mult(a, mult(a, b)))) <=> (mult(mult(mult(b, a), mult(a, c)), mult(a, b)) = mult(mult(mult(mult(b, a), mult(a, c)), a), b))),
% 5.09/5.31 inference(monotonicity,[status(thm)],[7921, 7920])).
% 5.09/5.31 tff(7923,plain,
% 5.09/5.31 ((mult(mult(mult(b, mult(c, a)), a), mult(a, b)) = mult(mult(b, mult(c, a)), mult(a, mult(a, b)))) <=> (mult(mult(mult(mult(b, a), mult(a, c)), a), b) = mult(mult(mult(b, a), mult(a, c)), mult(a, b)))),
% 5.09/5.31 inference(transitivity,[status(thm)],[7922, 7896])).
% 5.09/5.31 tff(7924,plain,
% 5.09/5.31 ((mult(mult(mult(mult(b, a), mult(a, c)), a), b) = mult(mult(mult(b, a), mult(a, c)), mult(a, b))) <=> (mult(mult(mult(b, mult(c, a)), a), mult(a, b)) = mult(mult(b, mult(c, a)), mult(a, mult(a, b))))),
% 5.09/5.31 inference(symmetry,[status(thm)],[7923])).
% 5.09/5.31 tff(7925,plain,
% 5.09/5.31 ((~(mult(mult(mult(mult(b, a), mult(a, c)), a), b) = mult(mult(mult(b, a), mult(a, c)), mult(a, b)))) <=> (~(mult(mult(mult(b, mult(c, a)), a), mult(a, b)) = mult(mult(b, mult(c, a)), mult(a, mult(a, b)))))),
% 5.09/5.31 inference(monotonicity,[status(thm)],[7924])).
% 5.09/5.31 tff(7926,plain,
% 5.09/5.31 (~(mult(mult(mult(b, mult(c, a)), a), mult(a, b)) = mult(mult(b, mult(c, a)), mult(a, mult(a, b))))),
% 5.09/5.31 inference(modus_ponens,[status(thm)],[7900, 7925])).
% 5.09/5.31 tff(7927,plain,
% 5.09/5.31 (((~(mult(mult(mult(b, mult(c, a)), a), mult(a, b)) = mult(mult(b, mult(c, a)), mult(a, mult(a, b))))) | (~(mult(mult(mult(b, mult(c, a)), mult(a, b)), a) = mult(mult(b, mult(c, a)), mult(mult(a, b), a))))) | (mult(mult(mult(b, mult(c, a)), a), mult(a, b)) = mult(mult(b, mult(c, a)), mult(a, mult(a, b))))),
% 5.15/5.31 inference(tautology,[status(thm)],[])).
% 5.15/5.31 tff(7928,plain,
% 5.15/5.31 ((~(mult(mult(mult(b, mult(c, a)), a), mult(a, b)) = mult(mult(b, mult(c, a)), mult(a, mult(a, b))))) | (~(mult(mult(mult(b, mult(c, a)), mult(a, b)), a) = mult(mult(b, mult(c, a)), mult(mult(a, b), a))))),
% 5.15/5.31 inference(unit_resolution,[status(thm)],[7927, 7926])).
% 5.15/5.31 tff(7929,plain,
% 5.15/5.31 (((~![X0: $i, X1: $i, X2: $i] : ((~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X2, X1)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X1, X2)))))) | (~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X1, X2)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X2, X1)))))))) | ((~((~(mult(mult(mult(b, mult(c, a)), a), mult(a, b)) = mult(mult(b, mult(c, a)), mult(a, mult(a, b))))) | (~(mult(mult(mult(b, mult(c, a)), mult(a, b)), a) = mult(mult(b, mult(c, a)), mult(mult(a, b), a)))))) | (~((~(mult(mult(mult(b, mult(c, a)), mult(a, b)), a) = mult(mult(b, mult(c, a)), mult(a, mult(a, b))))) | (~(mult(mult(mult(b, mult(c, a)), a), mult(a, b)) = mult(mult(b, mult(c, a)), mult(mult(a, b), a)))))))) <=> ((~![X0: $i, X1: $i, X2: $i] : ((~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X2, X1)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X1, X2)))))) | (~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X1, X2)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X2, X1)))))))) | (~((~(mult(mult(mult(b, mult(c, a)), a), mult(a, b)) = mult(mult(b, mult(c, a)), mult(a, mult(a, b))))) | (~(mult(mult(mult(b, mult(c, a)), mult(a, b)), a) = mult(mult(b, mult(c, a)), mult(mult(a, b), a)))))) | (~((~(mult(mult(mult(b, mult(c, a)), mult(a, b)), a) = mult(mult(b, mult(c, a)), mult(a, mult(a, b))))) | (~(mult(mult(mult(b, mult(c, a)), a), mult(a, b)) = mult(mult(b, mult(c, a)), mult(mult(a, b), a)))))))),
% 5.15/5.31 inference(rewrite,[status(thm)],[])).
% 5.15/5.31 tff(7930,plain,
% 5.15/5.31 (((~((~(mult(mult(mult(b, mult(c, a)), mult(a, b)), a) = mult(mult(b, mult(c, a)), mult(a, mult(a, b))))) | (~(mult(mult(mult(b, mult(c, a)), a), mult(a, b)) = mult(mult(b, mult(c, a)), mult(mult(a, b), a)))))) | (~((~(mult(mult(mult(b, mult(c, a)), a), mult(a, b)) = mult(mult(b, mult(c, a)), mult(a, mult(a, b))))) | (~(mult(mult(mult(b, mult(c, a)), mult(a, b)), a) = mult(mult(b, mult(c, a)), mult(mult(a, b), a))))))) <=> ((~((~(mult(mult(mult(b, mult(c, a)), a), mult(a, b)) = mult(mult(b, mult(c, a)), mult(a, mult(a, b))))) | (~(mult(mult(mult(b, mult(c, a)), mult(a, b)), a) = mult(mult(b, mult(c, a)), mult(mult(a, b), a)))))) | (~((~(mult(mult(mult(b, mult(c, a)), mult(a, b)), a) = mult(mult(b, mult(c, a)), mult(a, mult(a, b))))) | (~(mult(mult(mult(b, mult(c, a)), a), mult(a, b)) = mult(mult(b, mult(c, a)), mult(mult(a, b), a)))))))),
% 5.15/5.31 inference(rewrite,[status(thm)],[])).
% 5.15/5.31 tff(7931,plain,
% 5.15/5.31 ((~((~(mult(mult(mult(b, mult(c, a)), mult(a, b)), a) = mult(mult(b, mult(c, a)), mult(mult(a, b), a)))) | (~(mult(mult(mult(b, mult(c, a)), a), mult(a, b)) = mult(mult(b, mult(c, a)), mult(a, mult(a, b))))))) <=> (~((~(mult(mult(mult(b, mult(c, a)), a), mult(a, b)) = mult(mult(b, mult(c, a)), mult(a, mult(a, b))))) | (~(mult(mult(mult(b, mult(c, a)), mult(a, b)), a) = mult(mult(b, mult(c, a)), mult(mult(a, b), a))))))),
% 5.15/5.31 inference(rewrite,[status(thm)],[])).
% 5.15/5.31 tff(7932,plain,
% 5.15/5.31 ((~((~(mult(mult(mult(b, mult(c, a)), mult(a, b)), a) = mult(mult(b, mult(c, a)), mult(a, mult(a, b))))) | (~(mult(mult(mult(b, mult(c, a)), a), mult(a, b)) = mult(mult(b, mult(c, a)), mult(mult(a, b), a)))))) <=> (~((~(mult(mult(mult(b, mult(c, a)), mult(a, b)), a) = mult(mult(b, mult(c, a)), mult(a, mult(a, b))))) | (~(mult(mult(mult(b, mult(c, a)), a), mult(a, b)) = mult(mult(b, mult(c, a)), mult(mult(a, b), a))))))),
% 5.15/5.31 inference(rewrite,[status(thm)],[])).
% 5.15/5.31 tff(7933,plain,
% 5.15/5.31 (((~((~(mult(mult(mult(b, mult(c, a)), mult(a, b)), a) = mult(mult(b, mult(c, a)), mult(a, mult(a, b))))) | (~(mult(mult(mult(b, mult(c, a)), a), mult(a, b)) = mult(mult(b, mult(c, a)), mult(mult(a, b), a)))))) | (~((~(mult(mult(mult(b, mult(c, a)), mult(a, b)), a) = mult(mult(b, mult(c, a)), mult(mult(a, b), a)))) | (~(mult(mult(mult(b, mult(c, a)), a), mult(a, b)) = mult(mult(b, mult(c, a)), mult(a, mult(a, b)))))))) <=> ((~((~(mult(mult(mult(b, mult(c, a)), mult(a, b)), a) = mult(mult(b, mult(c, a)), mult(a, mult(a, b))))) | (~(mult(mult(mult(b, mult(c, a)), a), mult(a, b)) = mult(mult(b, mult(c, a)), mult(mult(a, b), a)))))) | (~((~(mult(mult(mult(b, mult(c, a)), a), mult(a, b)) = mult(mult(b, mult(c, a)), mult(a, mult(a, b))))) | (~(mult(mult(mult(b, mult(c, a)), mult(a, b)), a) = mult(mult(b, mult(c, a)), mult(mult(a, b), a)))))))),
% 5.15/5.32 inference(monotonicity,[status(thm)],[7932, 7931])).
% 5.15/5.32 tff(7934,plain,
% 5.15/5.32 (((~((~(mult(mult(mult(b, mult(c, a)), mult(a, b)), a) = mult(mult(b, mult(c, a)), mult(a, mult(a, b))))) | (~(mult(mult(mult(b, mult(c, a)), a), mult(a, b)) = mult(mult(b, mult(c, a)), mult(mult(a, b), a)))))) | (~((~(mult(mult(mult(b, mult(c, a)), mult(a, b)), a) = mult(mult(b, mult(c, a)), mult(mult(a, b), a)))) | (~(mult(mult(mult(b, mult(c, a)), a), mult(a, b)) = mult(mult(b, mult(c, a)), mult(a, mult(a, b)))))))) <=> ((~((~(mult(mult(mult(b, mult(c, a)), a), mult(a, b)) = mult(mult(b, mult(c, a)), mult(a, mult(a, b))))) | (~(mult(mult(mult(b, mult(c, a)), mult(a, b)), a) = mult(mult(b, mult(c, a)), mult(mult(a, b), a)))))) | (~((~(mult(mult(mult(b, mult(c, a)), mult(a, b)), a) = mult(mult(b, mult(c, a)), mult(a, mult(a, b))))) | (~(mult(mult(mult(b, mult(c, a)), a), mult(a, b)) = mult(mult(b, mult(c, a)), mult(mult(a, b), a)))))))),
% 5.15/5.32 inference(transitivity,[status(thm)],[7933, 7930])).
% 5.15/5.32 tff(7935,plain,
% 5.15/5.32 (((~![X0: $i, X1: $i, X2: $i] : ((~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X2, X1)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X1, X2)))))) | (~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X1, X2)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X2, X1)))))))) | ((~((~(mult(mult(mult(b, mult(c, a)), mult(a, b)), a) = mult(mult(b, mult(c, a)), mult(a, mult(a, b))))) | (~(mult(mult(mult(b, mult(c, a)), a), mult(a, b)) = mult(mult(b, mult(c, a)), mult(mult(a, b), a)))))) | (~((~(mult(mult(mult(b, mult(c, a)), mult(a, b)), a) = mult(mult(b, mult(c, a)), mult(mult(a, b), a)))) | (~(mult(mult(mult(b, mult(c, a)), a), mult(a, b)) = mult(mult(b, mult(c, a)), mult(a, mult(a, b))))))))) <=> ((~![X0: $i, X1: $i, X2: $i] : ((~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X2, X1)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X1, X2)))))) | (~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X1, X2)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X2, X1)))))))) | ((~((~(mult(mult(mult(b, mult(c, a)), a), mult(a, b)) = mult(mult(b, mult(c, a)), mult(a, mult(a, b))))) | (~(mult(mult(mult(b, mult(c, a)), mult(a, b)), a) = mult(mult(b, mult(c, a)), mult(mult(a, b), a)))))) | (~((~(mult(mult(mult(b, mult(c, a)), mult(a, b)), a) = mult(mult(b, mult(c, a)), mult(a, mult(a, b))))) | (~(mult(mult(mult(b, mult(c, a)), a), mult(a, b)) = mult(mult(b, mult(c, a)), mult(mult(a, b), a))))))))),
% 5.15/5.32 inference(monotonicity,[status(thm)],[7934])).
% 5.15/5.32 tff(7936,plain,
% 5.15/5.32 (((~![X0: $i, X1: $i, X2: $i] : ((~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X2, X1)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X1, X2)))))) | (~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X1, X2)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X2, X1)))))))) | ((~((~(mult(mult(mult(b, mult(c, a)), mult(a, b)), a) = mult(mult(b, mult(c, a)), mult(a, mult(a, b))))) | (~(mult(mult(mult(b, mult(c, a)), a), mult(a, b)) = mult(mult(b, mult(c, a)), mult(mult(a, b), a)))))) | (~((~(mult(mult(mult(b, mult(c, a)), mult(a, b)), a) = mult(mult(b, mult(c, a)), mult(mult(a, b), a)))) | (~(mult(mult(mult(b, mult(c, a)), a), mult(a, b)) = mult(mult(b, mult(c, a)), mult(a, mult(a, b))))))))) <=> ((~![X0: $i, X1: $i, X2: $i] : ((~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X2, X1)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X1, X2)))))) | (~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X1, X2)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X2, X1)))))))) | (~((~(mult(mult(mult(b, mult(c, a)), a), mult(a, b)) = mult(mult(b, mult(c, a)), mult(a, mult(a, b))))) | (~(mult(mult(mult(b, mult(c, a)), mult(a, b)), a) = mult(mult(b, mult(c, a)), mult(mult(a, b), a)))))) | (~((~(mult(mult(mult(b, mult(c, a)), mult(a, b)), a) = mult(mult(b, mult(c, a)), mult(a, mult(a, b))))) | (~(mult(mult(mult(b, mult(c, a)), a), mult(a, b)) = mult(mult(b, mult(c, a)), mult(mult(a, b), a)))))))),
% 5.15/5.32 inference(transitivity,[status(thm)],[7935, 7929])).
% 5.15/5.32 tff(7937,plain,
% 5.15/5.32 ((~![X0: $i, X1: $i, X2: $i] : ((~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X2, X1)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X1, X2)))))) | (~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X1, X2)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X2, X1)))))))) | ((~((~(mult(mult(mult(b, mult(c, a)), mult(a, b)), a) = mult(mult(b, mult(c, a)), mult(a, mult(a, b))))) | (~(mult(mult(mult(b, mult(c, a)), a), mult(a, b)) = mult(mult(b, mult(c, a)), mult(mult(a, b), a)))))) | (~((~(mult(mult(mult(b, mult(c, a)), mult(a, b)), a) = mult(mult(b, mult(c, a)), mult(mult(a, b), a)))) | (~(mult(mult(mult(b, mult(c, a)), a), mult(a, b)) = mult(mult(b, mult(c, a)), mult(a, mult(a, b))))))))),
% 5.15/5.32 inference(quant_inst,[status(thm)],[])).
% 5.15/5.32 tff(7938,plain,
% 5.15/5.32 ((~![X0: $i, X1: $i, X2: $i] : ((~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X2, X1)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X1, X2)))))) | (~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X1, X2)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X2, X1)))))))) | (~((~(mult(mult(mult(b, mult(c, a)), a), mult(a, b)) = mult(mult(b, mult(c, a)), mult(a, mult(a, b))))) | (~(mult(mult(mult(b, mult(c, a)), mult(a, b)), a) = mult(mult(b, mult(c, a)), mult(mult(a, b), a)))))) | (~((~(mult(mult(mult(b, mult(c, a)), mult(a, b)), a) = mult(mult(b, mult(c, a)), mult(a, mult(a, b))))) | (~(mult(mult(mult(b, mult(c, a)), a), mult(a, b)) = mult(mult(b, mult(c, a)), mult(mult(a, b), a))))))),
% 5.15/5.32 inference(modus_ponens,[status(thm)],[7937, 7936])).
% 5.15/5.32 tff(7939,plain,
% 5.15/5.32 ((~((~(mult(mult(mult(b, mult(c, a)), a), mult(a, b)) = mult(mult(b, mult(c, a)), mult(a, mult(a, b))))) | (~(mult(mult(mult(b, mult(c, a)), mult(a, b)), a) = mult(mult(b, mult(c, a)), mult(mult(a, b), a)))))) | (~((~(mult(mult(mult(b, mult(c, a)), mult(a, b)), a) = mult(mult(b, mult(c, a)), mult(a, mult(a, b))))) | (~(mult(mult(mult(b, mult(c, a)), a), mult(a, b)) = mult(mult(b, mult(c, a)), mult(mult(a, b), a))))))),
% 5.15/5.32 inference(unit_resolution,[status(thm)],[7938, 30])).
% 5.15/5.32 tff(7940,plain,
% 5.15/5.32 (~((~(mult(mult(mult(b, mult(c, a)), mult(a, b)), a) = mult(mult(b, mult(c, a)), mult(a, mult(a, b))))) | (~(mult(mult(mult(b, mult(c, a)), a), mult(a, b)) = mult(mult(b, mult(c, a)), mult(mult(a, b), a)))))),
% 5.15/5.32 inference(unit_resolution,[status(thm)],[7939, 7928])).
% 5.15/5.32 tff(7941,plain,
% 5.15/5.32 (((~(mult(mult(mult(b, mult(c, a)), mult(a, b)), a) = mult(mult(b, mult(c, a)), mult(a, mult(a, b))))) | (~(mult(mult(mult(b, mult(c, a)), a), mult(a, b)) = mult(mult(b, mult(c, a)), mult(mult(a, b), a))))) | (mult(mult(mult(b, mult(c, a)), mult(a, b)), a) = mult(mult(b, mult(c, a)), mult(a, mult(a, b))))),
% 5.15/5.32 inference(tautology,[status(thm)],[])).
% 5.15/5.32 tff(7942,plain,
% 5.15/5.32 (mult(mult(mult(b, mult(c, a)), mult(a, b)), a) = mult(mult(b, mult(c, a)), mult(a, mult(a, b)))),
% 5.15/5.32 inference(unit_resolution,[status(thm)],[7941, 7940])).
% 5.15/5.32 tff(7943,plain,
% 5.15/5.32 (mult(mult(mult(a, c), b), mult(a, b)) = mult(mult(a, mult(b, c)), mult(a, b))),
% 5.15/5.32 inference(monotonicity,[status(thm)],[117])).
% 5.15/5.32 tff(7944,plain,
% 5.15/5.32 (mult(mult(a, mult(b, c)), mult(a, b)) = mult(mult(mult(a, c), b), mult(a, b))),
% 5.15/5.32 inference(symmetry,[status(thm)],[7943])).
% 5.15/5.32 tff(7945,assumption,(mult(mult(a, mult(b, c)), mult(a, b)) = mult(a, mult(mult(a, b), mult(b, c)))), introduced(assumption)).
% 5.15/5.32 tff(7946,plain,
% 5.15/5.32 (mult(a, mult(mult(a, b), mult(b, c))) = mult(mult(a, mult(b, c)), mult(a, b))),
% 5.15/5.32 inference(symmetry,[status(thm)],[7945])).
% 5.15/5.32 tff(7947,assumption,(mult(mult(mult(a, a), mult(a, b)), mult(b, c)) = mult(mult(a, a), mult(mult(a, b), mult(b, c)))), introduced(assumption)).
% 5.15/5.32 tff(7948,plain,
% 5.15/5.32 (mult(mult(a, a), mult(mult(a, b), mult(b, c))) = mult(mult(mult(a, a), mult(a, b)), mult(b, c))),
% 5.15/5.32 inference(symmetry,[status(thm)],[7947])).
% 5.15/5.32 tff(7949,plain,
% 5.15/5.32 (mult(mult(a, a), mult(mult(a, b), mult(b, c))) = mult(mult(a, a), mult(mult(mult(b, c), a), b))),
% 5.15/5.32 inference(transitivity,[status(thm)],[7948, 7765, 7760, 6371, 5822, 7753, 7751, 6187, 7569])).
% 5.15/5.32 tff(7950,plain,
% 5.15/5.32 (ld(mult(a, a), mult(mult(a, a), mult(mult(a, b), mult(b, c)))) = ld(mult(a, a), mult(mult(a, a), mult(mult(mult(b, c), a), b)))),
% 5.15/5.32 inference(monotonicity,[status(thm)],[7949])).
% 5.15/5.32 tff(7951,plain,
% 5.15/5.32 (mult(mult(a, b), mult(b, c)) = mult(mult(mult(b, c), a), b)),
% 5.15/5.32 inference(transitivity,[status(thm)],[6540, 7950, 6491])).
% 5.15/5.32 tff(7952,plain,
% 5.15/5.32 (mult(a, mult(mult(a, b), mult(b, c))) = mult(a, mult(mult(mult(b, c), a), b))),
% 5.15/5.32 inference(monotonicity,[status(thm)],[7951])).
% 5.15/5.32 tff(7953,plain,
% 5.15/5.32 (mult(a, mult(mult(mult(b, c), a), b)) = mult(a, mult(mult(a, b), mult(b, c)))),
% 5.15/5.32 inference(symmetry,[status(thm)],[7952])).
% 5.15/5.32 tff(7954,assumption,(mult(mult(mult(b, mult(c, a)), a), mult(b, a)) = mult(mult(b, mult(c, a)), mult(mult(b, a), a))), introduced(assumption)).
% 5.15/5.32 tff(7955,plain,
% 5.15/5.32 (mult(mult(b, mult(c, a)), mult(mult(b, a), a)) = mult(mult(mult(b, mult(c, a)), a), mult(b, a))),
% 5.15/5.32 inference(symmetry,[status(thm)],[7954])).
% 5.15/5.32 tff(7956,plain,
% 5.15/5.32 (ld(mult(mult(b, c), a), mult(mult(mult(b, c), a), mult(mult(a, a), b))) = ld(mult(mult(b, c), a), mult(mult(mult(b, c), a), mult(mult(b, a), a)))),
% 5.15/5.32 inference(symmetry,[status(thm)],[7658])).
% 5.15/5.32 tff(7957,plain,
% 5.15/5.32 (mult(mult(a, a), b) = mult(mult(b, a), a)),
% 5.15/5.32 inference(transitivity,[status(thm)],[7916, 7956, 7549])).
% 5.15/5.32 tff(7958,plain,
% 5.15/5.32 (mult(mult(b, mult(c, a)), mult(mult(a, a), b)) = mult(mult(b, mult(c, a)), mult(mult(b, a), a))),
% 5.15/5.32 inference(monotonicity,[status(thm)],[7957])).
% 5.15/5.32 tff(7959,assumption,(mult(mult(mult(b, mult(c, a)), mult(a, b)), a) = mult(mult(b, mult(c, a)), mult(a, mult(a, b)))), introduced(assumption)).
% 5.15/5.32 tff(7960,plain,
% 5.15/5.32 (mult(mult(mult(b, mult(c, a)), mult(a, b)), a) = mult(mult(a, mult(mult(mult(b, c), a), b)), a)),
% 5.15/5.32 inference(transitivity,[status(thm)],[7959, 7919, 7958, 7955, 7891, 7849, 7848, 7202])).
% 5.15/5.32 tff(7961,plain,
% 5.15/5.32 (rd(mult(mult(mult(b, mult(c, a)), mult(a, b)), a), a) = rd(mult(mult(a, mult(mult(mult(b, c), a), b)), a), a)),
% 5.15/5.32 inference(monotonicity,[status(thm)],[7960])).
% 5.15/5.32 tff(7962,plain,
% 5.15/5.32 ((~![B: $i, A: $i] : (rd(mult(A, B), B) = A)) | (rd(mult(mult(mult(b, mult(c, a)), mult(a, b)), a), a) = mult(mult(b, mult(c, a)), mult(a, b)))),
% 5.15/5.32 inference(quant_inst,[status(thm)],[])).
% 5.15/5.32 tff(7963,plain,
% 5.15/5.32 (rd(mult(mult(mult(b, mult(c, a)), mult(a, b)), a), a) = mult(mult(b, mult(c, a)), mult(a, b))),
% 5.15/5.32 inference(unit_resolution,[status(thm)],[7962, 72])).
% 5.15/5.32 tff(7964,plain,
% 5.15/5.32 (mult(mult(b, mult(c, a)), mult(a, b)) = rd(mult(mult(mult(b, mult(c, a)), mult(a, b)), a), a)),
% 5.15/5.32 inference(symmetry,[status(thm)],[7963])).
% 5.15/5.32 tff(7965,plain,
% 5.15/5.32 (mult(mult(b, mult(c, a)), mult(a, b)) = mult(mult(mult(a, c), b), mult(a, b))),
% 5.15/5.32 inference(transitivity,[status(thm)],[7964, 7961, 6157, 7953, 7946, 7944])).
% 5.15/5.32 tff(7966,plain,
% 5.15/5.32 (rd(mult(mult(b, mult(c, a)), mult(a, b)), mult(a, b)) = rd(mult(mult(mult(a, c), b), mult(a, b)), mult(a, b))),
% 5.15/5.32 inference(monotonicity,[status(thm)],[7965])).
% 5.15/5.32 tff(7967,plain,
% 5.15/5.32 ((~![B: $i, A: $i] : (rd(mult(A, B), B) = A)) | (rd(mult(mult(b, mult(c, a)), mult(a, b)), mult(a, b)) = mult(b, mult(c, a)))),
% 5.15/5.32 inference(quant_inst,[status(thm)],[])).
% 5.15/5.32 tff(7968,plain,
% 5.15/5.32 (rd(mult(mult(b, mult(c, a)), mult(a, b)), mult(a, b)) = mult(b, mult(c, a))),
% 5.15/5.32 inference(unit_resolution,[status(thm)],[7967, 72])).
% 5.15/5.32 tff(7969,plain,
% 5.15/5.32 (mult(b, mult(c, a)) = rd(mult(mult(b, mult(c, a)), mult(a, b)), mult(a, b))),
% 5.15/5.32 inference(symmetry,[status(thm)],[7968])).
% 5.15/5.32 tff(7970,plain,
% 5.15/5.32 (mult(b, mult(c, a)) = mult(mult(a, c), b)),
% 5.15/5.32 inference(transitivity,[status(thm)],[7969, 7966, 6515])).
% 5.15/5.32 tff(7971,plain,
% 5.15/5.32 (mult(a, mult(b, mult(c, a))) = mult(a, mult(mult(a, c), b))),
% 5.15/5.32 inference(monotonicity,[status(thm)],[7970])).
% 5.15/5.32 tff(7972,plain,
% 5.15/5.32 (mult(a, mult(b, mult(c, a))) = mult(mult(mult(a, b), c), a)),
% 5.15/5.32 inference(transitivity,[status(thm)],[7971, 811, 403])).
% 5.15/5.32 tff(7973,plain,
% 5.15/5.32 ($false),
% 5.15/5.32 inference(unit_resolution,[status(thm)],[194, 7972])).
% 5.15/5.32 tff(7974,plain,((~(mult(mult(a, mult(b, c)), mult(a, b)) = mult(a, mult(mult(a, b), mult(b, c))))) | (~(mult(mult(a, b), mult(a, c)) = mult(a, mult(mult(a, c), b)))) | (~(mult(mult(mult(a, b), c), a) = mult(mult(a, b), mult(a, c)))) | (~(mult(mult(mult(a, a), mult(a, b)), mult(b, c)) = mult(mult(a, a), mult(mult(a, b), mult(b, c))))) | (~(mult(mult(mult(a, mult(a, a)), b), mult(b, c)) = mult(mult(a, mult(a, a)), mult(mult(b, c), b)))) | (~(mult(mult(a, a), mult(a, mult(c, b))) = mult(a, mult(a, mult(a, mult(c, b)))))) | (~(mult(mult(mult(a, mult(a, a)), b), c) = mult(mult(a, mult(a, a)), mult(c, b)))) | (~(mult(mult(mult(a, a), a), mult(c, b)) = mult(mult(a, a), mult(a, mult(c, b))))) | (~(mult(mult(a, c), mult(a, b)) = mult(a, mult(mult(a, b), c)))) | (~(mult(mult(a, b), c) = mult(a, mult(c, b)))) | (~(mult(mult(mult(a, c), b), a) = mult(mult(a, c), mult(a, b)))) | (~(mult(mult(a, a), mult(b, c)) = mult(a, mult(a, mult(b, c))))) | (~(mult(mult(a, mult(mult(a, a), b)), c) = mult(a, mult(c, mult(mult(a, a), b))))) | (~(mult(mult(c, mult(a, b)), a) = mult(c, mult(a, mult(a, b))))) | (~(mult(mult(a, mult(c, b)), a) = mult(a, mult(mult(c, b), a)))) | (~(mult(mult(c, b), a) = mult(c, mult(a, b)))) | (~(mult(mult(mult(a, a), mult(a, b)), c) = mult(mult(a, a), mult(mult(a, b), c)))) | (~(mult(mult(mult(a, a), b), mult(a, c)) = mult(mult(a, a), mult(b, mult(a, c))))) | (~(mult(mult(a, mult(b, c)), a) = mult(a, mult(mult(b, c), a)))) | (~(mult(mult(a, c), b) = mult(a, mult(b, c)))) | (~(mult(mult(mult(b, mult(c, a)), mult(a, b)), a) = mult(mult(b, mult(c, a)), mult(a, mult(a, b))))) | (~(mult(mult(mult(b, mult(c, a)), a), mult(b, a)) = mult(mult(b, mult(c, a)), mult(mult(b, a), a)))) | (~(mult(mult(mult(mult(mult(a, c), mult(b, a)), mult(a, c)), b), a) = mult(mult(mult(mult(a, c), mult(b, a)), mult(a, c)), mult(b, a)))) | (~(mult(mult(mult(a, c), a), b) = mult(mult(a, c), mult(b, a)))) | (~(mult(mult(mult(a, b), c), mult(mult(a, a), b)) = mult(mult(a, b), mult(mult(mult(a, a), b), c)))) | (~(mult(mult(a, b), mult(mult(a, mult(c, b)), a)) = mult(a, mult(mult(mult(a, mult(c, b)), a), b)))) | (~(mult(mult(mult(mult(b, c), a), a), mult(b, a)) = mult(mult(mult(b, c), a), mult(mult(b, a), a)))) | (~(mult(mult(mult(mult(a, mult(c, b)), a), a), b) = mult(mult(mult(a, mult(c, b)), a), mult(b, a)))) | (~(mult(mult(mult(a, b), mult(a, c)), a) = mult(mult(a, b), mult(a, mult(a, c))))) | (~(mult(mult(a, mult(a, b)), c) = mult(a, mult(c, mult(a, b)))))), inference(lemma,lemma(discharge,[]))).
% 5.15/5.32 tff(7975,plain,
% 5.15/5.32 (~(mult(mult(a, mult(b, c)), mult(a, b)) = mult(a, mult(mult(a, b), mult(b, c))))),
% 5.15/5.32 inference(unit_resolution,[status(thm)],[7974, 5491, 5305, 7840, 7574, 5467, 5817, 5695, 4654, 91, 971, 5492, 6033, 6004, 4821, 5290, 7306, 7288, 5309, 97, 7942, 7913, 6725, 1526, 7495, 5966, 7544, 7227, 5680, 4709])).
% 5.15/5.32 tff(7976,plain,
% 5.15/5.32 ((~(mult(mult(a, mult(a, b)), mult(b, c)) = mult(a, mult(mult(b, c), mult(a, b))))) | (~(mult(mult(a, mult(b, c)), mult(a, b)) = mult(a, mult(mult(a, b), mult(b, c)))))),
% 5.15/5.32 inference(unit_resolution,[status(thm)],[6551, 7975])).
% 5.15/5.32 tff(7977,plain,
% 5.15/5.32 (~((~(mult(mult(a, mult(a, b)), mult(b, c)) = mult(a, mult(mult(a, b), mult(b, c))))) | (~(mult(mult(a, mult(b, c)), mult(a, b)) = mult(a, mult(mult(b, c), mult(a, b))))))),
% 5.15/5.32 inference(unit_resolution,[status(thm)],[6549, 7976])).
% 5.15/5.32 tff(7978,plain,
% 5.15/5.32 (((~(mult(mult(a, mult(a, b)), mult(b, c)) = mult(a, mult(mult(a, b), mult(b, c))))) | (~(mult(mult(a, mult(b, c)), mult(a, b)) = mult(a, mult(mult(b, c), mult(a, b)))))) | (mult(mult(a, mult(a, b)), mult(b, c)) = mult(a, mult(mult(a, b), mult(b, c))))),
% 5.15/5.32 inference(tautology,[status(thm)],[])).
% 5.15/5.32 tff(7979,plain,
% 5.15/5.32 (mult(mult(a, mult(a, b)), mult(b, c)) = mult(a, mult(mult(a, b), mult(b, c)))),
% 5.15/5.32 inference(unit_resolution,[status(thm)],[7978, 7977])).
% 5.15/5.32 tff(7980,plain,
% 5.15/5.32 (mult(mult(mult(a, a), b), mult(b, c)) = mult(mult(a, mult(a, b)), mult(b, c))),
% 5.15/5.32 inference(monotonicity,[status(thm)],[4190])).
% 5.15/5.32 tff(7981,plain,
% 5.15/5.32 (mult(mult(mult(b, a), a), mult(b, c)) = mult(mult(mult(a, a), b), mult(b, c))),
% 5.15/5.32 inference(monotonicity,[status(thm)],[7551])).
% 5.15/5.32 tff(7982,plain,
% 5.15/5.32 (mult(mult(mult(b, a), a), mult(b, c)) = mult(mult(mult(mult(a, b), c), a), b)),
% 5.15/5.33 inference(transitivity,[status(thm)],[7981, 7980, 7979, 7845, 6141, 6138, 7064])).
% 5.15/5.33 tff(7983,plain,
% 5.15/5.33 (mult(mult(mult(mult(b, a), a), mult(b, c)), a) = mult(mult(mult(mult(mult(a, b), c), a), b), a)),
% 5.15/5.33 inference(monotonicity,[status(thm)],[7982])).
% 5.15/5.33 tff(7984,plain,
% 5.15/5.33 ((~![C: $i, B: $i, A: $i] : (mult(mult(mult(A, B), C), B) = mult(A, mult(mult(B, C), B)))) | (mult(mult(mult(mult(b, a), a), mult(b, c)), a) = mult(mult(b, a), mult(mult(a, mult(b, c)), a)))),
% 5.15/5.33 inference(quant_inst,[status(thm)],[])).
% 5.15/5.33 tff(7985,plain,
% 5.15/5.33 (mult(mult(mult(mult(b, a), a), mult(b, c)), a) = mult(mult(b, a), mult(mult(a, mult(b, c)), a))),
% 5.15/5.33 inference(unit_resolution,[status(thm)],[7984, 860])).
% 5.15/5.33 tff(7986,plain,
% 5.15/5.33 (mult(mult(b, a), mult(mult(a, mult(b, c)), a)) = mult(mult(mult(mult(b, a), a), mult(b, c)), a)),
% 5.15/5.33 inference(symmetry,[status(thm)],[7985])).
% 5.15/5.33 tff(7987,plain,
% 5.15/5.33 (mult(mult(a, c), mult(a, b)) = mult(mult(a, mult(b, c)), a)),
% 5.15/5.33 inference(transitivity,[status(thm)],[2160, 2720])).
% 5.15/5.33 tff(7988,plain,
% 5.15/5.33 (mult(mult(b, a), mult(mult(a, c), mult(a, b))) = mult(mult(b, a), mult(mult(a, mult(b, c)), a))),
% 5.15/5.33 inference(monotonicity,[status(thm)],[7987])).
% 5.15/5.33 tff(7989,plain,
% 5.15/5.33 (mult(mult(c, a), mult(b, a)) = mult(mult(a, c), mult(a, b))),
% 5.15/5.33 inference(transitivity,[status(thm)],[7594, 7581, 6006, 6005, 5837, 971])).
% 5.15/5.33 tff(7990,plain,
% 5.15/5.33 (mult(mult(b, a), mult(mult(c, a), mult(b, a))) = mult(mult(b, a), mult(mult(a, c), mult(a, b)))),
% 5.15/5.33 inference(monotonicity,[status(thm)],[7989])).
% 5.15/5.33 tff(7991,plain,
% 5.15/5.33 (mult(mult(b, a), mult(mult(c, a), mult(b, a))) = mult(mult(a, mult(mult(mult(b, c), a), b)), a)),
% 5.15/5.33 inference(transitivity,[status(thm)],[7990, 7988, 7986, 7983, 7515])).
% 5.15/5.33 tff(7992,plain,
% 5.15/5.33 (mult(mult(mult(b, a), mult(c, a)), mult(b, a)) = mult(a, mult(a, mult(mult(mult(b, c), a), b)))),
% 5.15/5.33 inference(transitivity,[status(thm)],[7567, 7229, 7228, 5968, 5684, 5335, 5333, 7513])).
% 5.15/5.33 tff(7993,plain,
% 5.15/5.33 ((mult(mult(mult(b, a), mult(c, a)), mult(b, a)) = mult(mult(b, a), mult(mult(c, a), mult(b, a)))) <=> (mult(a, mult(a, mult(mult(mult(b, c), a), b))) = mult(mult(a, mult(mult(mult(b, c), a), b)), a))),
% 5.15/5.33 inference(monotonicity,[status(thm)],[7992, 7991])).
% 5.15/5.33 tff(7994,plain,
% 5.15/5.33 ((mult(mult(mult(b, a), mult(c, a)), mult(b, a)) = mult(mult(b, a), mult(mult(c, a), mult(b, a)))) <=> (mult(mult(a, mult(mult(mult(b, c), a), b)), a) = mult(a, mult(a, mult(mult(mult(b, c), a), b))))),
% 5.15/5.33 inference(transitivity,[status(thm)],[7993, 7568])).
% 5.15/5.33 tff(7995,plain,
% 5.15/5.33 ((mult(mult(a, mult(mult(mult(b, c), a), b)), a) = mult(a, mult(a, mult(mult(mult(b, c), a), b)))) <=> (mult(mult(mult(b, a), mult(c, a)), mult(b, a)) = mult(mult(b, a), mult(mult(c, a), mult(b, a))))),
% 5.15/5.33 inference(symmetry,[status(thm)],[7994])).
% 5.15/5.33 tff(7996,plain,
% 5.15/5.33 ((~(mult(mult(a, mult(mult(mult(b, c), a), b)), a) = mult(a, mult(a, mult(mult(mult(b, c), a), b))))) <=> (~(mult(mult(mult(b, a), mult(c, a)), mult(b, a)) = mult(mult(b, a), mult(mult(c, a), mult(b, a)))))),
% 5.15/5.33 inference(monotonicity,[status(thm)],[7995])).
% 5.15/5.33 tff(7997,plain,
% 5.15/5.33 (~(mult(mult(mult(b, a), mult(c, a)), mult(b, a)) = mult(mult(b, a), mult(mult(c, a), mult(b, a))))),
% 5.15/5.33 inference(modus_ponens,[status(thm)],[7531, 7996])).
% 5.15/5.33 tff(7998,plain,
% 5.15/5.33 (((~(mult(mult(mult(b, a), mult(b, a)), mult(c, a)) = mult(mult(b, a), mult(mult(b, a), mult(c, a))))) | (~(mult(mult(mult(b, a), mult(c, a)), mult(b, a)) = mult(mult(b, a), mult(mult(c, a), mult(b, a)))))) | (mult(mult(mult(b, a), mult(c, a)), mult(b, a)) = mult(mult(b, a), mult(mult(c, a), mult(b, a))))),
% 5.15/5.33 inference(tautology,[status(thm)],[])).
% 5.15/5.33 tff(7999,plain,
% 5.15/5.33 ((~(mult(mult(mult(b, a), mult(b, a)), mult(c, a)) = mult(mult(b, a), mult(mult(b, a), mult(c, a))))) | (~(mult(mult(mult(b, a), mult(c, a)), mult(b, a)) = mult(mult(b, a), mult(mult(c, a), mult(b, a)))))),
% 5.15/5.33 inference(unit_resolution,[status(thm)],[7998, 7997])).
% 5.15/5.33 tff(8000,plain,
% 5.15/5.33 (((~![X0: $i, X1: $i, X2: $i] : ((~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X2, X1)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X1, X2)))))) | (~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X1, X2)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X2, X1)))))))) | ((~((~(mult(mult(mult(b, a), mult(b, a)), mult(c, a)) = mult(mult(b, a), mult(mult(b, a), mult(c, a))))) | (~(mult(mult(mult(b, a), mult(c, a)), mult(b, a)) = mult(mult(b, a), mult(mult(c, a), mult(b, a))))))) | (~((~(mult(mult(mult(b, a), mult(b, a)), mult(c, a)) = mult(mult(b, a), mult(mult(c, a), mult(b, a))))) | (~(mult(mult(mult(b, a), mult(c, a)), mult(b, a)) = mult(mult(b, a), mult(mult(b, a), mult(c, a))))))))) <=> ((~![X0: $i, X1: $i, X2: $i] : ((~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X2, X1)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X1, X2)))))) | (~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X1, X2)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X2, X1)))))))) | (~((~(mult(mult(mult(b, a), mult(b, a)), mult(c, a)) = mult(mult(b, a), mult(mult(b, a), mult(c, a))))) | (~(mult(mult(mult(b, a), mult(c, a)), mult(b, a)) = mult(mult(b, a), mult(mult(c, a), mult(b, a))))))) | (~((~(mult(mult(mult(b, a), mult(b, a)), mult(c, a)) = mult(mult(b, a), mult(mult(c, a), mult(b, a))))) | (~(mult(mult(mult(b, a), mult(c, a)), mult(b, a)) = mult(mult(b, a), mult(mult(b, a), mult(c, a))))))))),
% 5.15/5.33 inference(rewrite,[status(thm)],[])).
% 5.15/5.33 tff(8001,plain,
% 5.15/5.33 (((~((~(mult(mult(mult(b, a), mult(b, a)), mult(c, a)) = mult(mult(b, a), mult(mult(c, a), mult(b, a))))) | (~(mult(mult(mult(b, a), mult(c, a)), mult(b, a)) = mult(mult(b, a), mult(mult(b, a), mult(c, a))))))) | (~((~(mult(mult(mult(b, a), mult(b, a)), mult(c, a)) = mult(mult(b, a), mult(mult(b, a), mult(c, a))))) | (~(mult(mult(mult(b, a), mult(c, a)), mult(b, a)) = mult(mult(b, a), mult(mult(c, a), mult(b, a)))))))) <=> ((~((~(mult(mult(mult(b, a), mult(b, a)), mult(c, a)) = mult(mult(b, a), mult(mult(b, a), mult(c, a))))) | (~(mult(mult(mult(b, a), mult(c, a)), mult(b, a)) = mult(mult(b, a), mult(mult(c, a), mult(b, a))))))) | (~((~(mult(mult(mult(b, a), mult(b, a)), mult(c, a)) = mult(mult(b, a), mult(mult(c, a), mult(b, a))))) | (~(mult(mult(mult(b, a), mult(c, a)), mult(b, a)) = mult(mult(b, a), mult(mult(b, a), mult(c, a))))))))),
% 5.15/5.33 inference(rewrite,[status(thm)],[])).
% 5.15/5.33 tff(8002,plain,
% 5.15/5.33 (((~![X0: $i, X1: $i, X2: $i] : ((~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X2, X1)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X1, X2)))))) | (~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X1, X2)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X2, X1)))))))) | ((~((~(mult(mult(mult(b, a), mult(b, a)), mult(c, a)) = mult(mult(b, a), mult(mult(c, a), mult(b, a))))) | (~(mult(mult(mult(b, a), mult(c, a)), mult(b, a)) = mult(mult(b, a), mult(mult(b, a), mult(c, a))))))) | (~((~(mult(mult(mult(b, a), mult(b, a)), mult(c, a)) = mult(mult(b, a), mult(mult(b, a), mult(c, a))))) | (~(mult(mult(mult(b, a), mult(c, a)), mult(b, a)) = mult(mult(b, a), mult(mult(c, a), mult(b, a))))))))) <=> ((~![X0: $i, X1: $i, X2: $i] : ((~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X2, X1)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X1, X2)))))) | (~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X1, X2)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X2, X1)))))))) | ((~((~(mult(mult(mult(b, a), mult(b, a)), mult(c, a)) = mult(mult(b, a), mult(mult(b, a), mult(c, a))))) | (~(mult(mult(mult(b, a), mult(c, a)), mult(b, a)) = mult(mult(b, a), mult(mult(c, a), mult(b, a))))))) | (~((~(mult(mult(mult(b, a), mult(b, a)), mult(c, a)) = mult(mult(b, a), mult(mult(c, a), mult(b, a))))) | (~(mult(mult(mult(b, a), mult(c, a)), mult(b, a)) = mult(mult(b, a), mult(mult(b, a), mult(c, a)))))))))),
% 5.15/5.33 inference(monotonicity,[status(thm)],[8001])).
% 5.15/5.33 tff(8003,plain,
% 5.15/5.33 (((~![X0: $i, X1: $i, X2: $i] : ((~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X2, X1)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X1, X2)))))) | (~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X1, X2)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X2, X1)))))))) | ((~((~(mult(mult(mult(b, a), mult(b, a)), mult(c, a)) = mult(mult(b, a), mult(mult(c, a), mult(b, a))))) | (~(mult(mult(mult(b, a), mult(c, a)), mult(b, a)) = mult(mult(b, a), mult(mult(b, a), mult(c, a))))))) | (~((~(mult(mult(mult(b, a), mult(b, a)), mult(c, a)) = mult(mult(b, a), mult(mult(b, a), mult(c, a))))) | (~(mult(mult(mult(b, a), mult(c, a)), mult(b, a)) = mult(mult(b, a), mult(mult(c, a), mult(b, a))))))))) <=> ((~![X0: $i, X1: $i, X2: $i] : ((~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X2, X1)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X1, X2)))))) | (~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X1, X2)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X2, X1)))))))) | (~((~(mult(mult(mult(b, a), mult(b, a)), mult(c, a)) = mult(mult(b, a), mult(mult(b, a), mult(c, a))))) | (~(mult(mult(mult(b, a), mult(c, a)), mult(b, a)) = mult(mult(b, a), mult(mult(c, a), mult(b, a))))))) | (~((~(mult(mult(mult(b, a), mult(b, a)), mult(c, a)) = mult(mult(b, a), mult(mult(c, a), mult(b, a))))) | (~(mult(mult(mult(b, a), mult(c, a)), mult(b, a)) = mult(mult(b, a), mult(mult(b, a), mult(c, a))))))))),
% 5.15/5.33 inference(transitivity,[status(thm)],[8002, 8000])).
% 5.15/5.33 tff(8004,plain,
% 5.15/5.33 ((~![X0: $i, X1: $i, X2: $i] : ((~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X2, X1)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X1, X2)))))) | (~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X1, X2)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X2, X1)))))))) | ((~((~(mult(mult(mult(b, a), mult(b, a)), mult(c, a)) = mult(mult(b, a), mult(mult(c, a), mult(b, a))))) | (~(mult(mult(mult(b, a), mult(c, a)), mult(b, a)) = mult(mult(b, a), mult(mult(b, a), mult(c, a))))))) | (~((~(mult(mult(mult(b, a), mult(b, a)), mult(c, a)) = mult(mult(b, a), mult(mult(b, a), mult(c, a))))) | (~(mult(mult(mult(b, a), mult(c, a)), mult(b, a)) = mult(mult(b, a), mult(mult(c, a), mult(b, a))))))))),
% 5.15/5.33 inference(quant_inst,[status(thm)],[])).
% 5.15/5.33 tff(8005,plain,
% 5.15/5.33 ((~![X0: $i, X1: $i, X2: $i] : ((~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X2, X1)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X1, X2)))))) | (~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X1, X2)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X2, X1)))))))) | (~((~(mult(mult(mult(b, a), mult(b, a)), mult(c, a)) = mult(mult(b, a), mult(mult(b, a), mult(c, a))))) | (~(mult(mult(mult(b, a), mult(c, a)), mult(b, a)) = mult(mult(b, a), mult(mult(c, a), mult(b, a))))))) | (~((~(mult(mult(mult(b, a), mult(b, a)), mult(c, a)) = mult(mult(b, a), mult(mult(c, a), mult(b, a))))) | (~(mult(mult(mult(b, a), mult(c, a)), mult(b, a)) = mult(mult(b, a), mult(mult(b, a), mult(c, a)))))))),
% 5.15/5.33 inference(modus_ponens,[status(thm)],[8004, 8003])).
% 5.15/5.33 tff(8006,plain,
% 5.15/5.33 ((~((~(mult(mult(mult(b, a), mult(b, a)), mult(c, a)) = mult(mult(b, a), mult(mult(b, a), mult(c, a))))) | (~(mult(mult(mult(b, a), mult(c, a)), mult(b, a)) = mult(mult(b, a), mult(mult(c, a), mult(b, a))))))) | (~((~(mult(mult(mult(b, a), mult(b, a)), mult(c, a)) = mult(mult(b, a), mult(mult(c, a), mult(b, a))))) | (~(mult(mult(mult(b, a), mult(c, a)), mult(b, a)) = mult(mult(b, a), mult(mult(b, a), mult(c, a)))))))),
% 5.15/5.33 inference(unit_resolution,[status(thm)],[8005, 30])).
% 5.15/5.33 tff(8007,plain,
% 5.15/5.33 (~((~(mult(mult(mult(b, a), mult(b, a)), mult(c, a)) = mult(mult(b, a), mult(mult(c, a), mult(b, a))))) | (~(mult(mult(mult(b, a), mult(c, a)), mult(b, a)) = mult(mult(b, a), mult(mult(b, a), mult(c, a))))))),
% 5.15/5.33 inference(unit_resolution,[status(thm)],[8006, 7999])).
% 5.15/5.33 tff(8008,plain,
% 5.15/5.33 (((~(mult(mult(mult(b, a), mult(b, a)), mult(c, a)) = mult(mult(b, a), mult(mult(c, a), mult(b, a))))) | (~(mult(mult(mult(b, a), mult(c, a)), mult(b, a)) = mult(mult(b, a), mult(mult(b, a), mult(c, a)))))) | (mult(mult(mult(b, a), mult(c, a)), mult(b, a)) = mult(mult(b, a), mult(mult(b, a), mult(c, a))))),
% 5.15/5.33 inference(tautology,[status(thm)],[])).
% 5.15/5.33 tff(8009,plain,
% 5.15/5.33 (mult(mult(mult(b, a), mult(c, a)), mult(b, a)) = mult(mult(b, a), mult(mult(b, a), mult(c, a)))),
% 5.15/5.33 inference(unit_resolution,[status(thm)],[8008, 8007])).
% 5.15/5.33 tff(8010,plain,
% 5.15/5.33 (mult(mult(b, a), mult(mult(b, a), mult(c, a))) = mult(mult(mult(b, a), mult(c, a)), mult(b, a))),
% 5.15/5.33 inference(symmetry,[status(thm)],[8009])).
% 5.15/5.33 tff(8011,plain,
% 5.15/5.33 (mult(mult(mult(a, a), b), c) = mult(mult(mult(b, a), a), c)),
% 5.15/5.33 inference(symmetry,[status(thm)],[7552])).
% 5.15/5.33 tff(8012,plain,
% 5.15/5.33 (mult(a, mult(c, mult(a, b))) = mult(mult(a, mult(a, b)), c)),
% 5.15/5.33 inference(symmetry,[status(thm)],[4709])).
% 5.15/5.33 tff(8013,plain,
% 5.15/5.33 (mult(mult(a, b), mult(a, c)) = mult(mult(b, a), mult(c, a))),
% 5.15/5.33 inference(transitivity,[status(thm)],[5360, 608, 4821, 5359, 8012, 5532, 8011, 7564])).
% 5.15/5.33 tff(8014,plain,
% 5.15/5.33 (mult(mult(b, a), mult(mult(a, b), mult(a, c))) = mult(mult(b, a), mult(mult(b, a), mult(c, a)))),
% 5.15/5.33 inference(monotonicity,[status(thm)],[8013])).
% 5.15/5.33 tff(8015,plain,
% 5.15/5.33 (mult(mult(a, mult(c, b)), a) = mult(mult(a, b), mult(a, c))),
% 5.15/5.33 inference(transitivity,[status(thm)],[609, 5305])).
% 5.15/5.33 tff(8016,plain,
% 5.15/5.33 (mult(mult(b, a), mult(mult(a, mult(c, b)), a)) = mult(mult(b, a), mult(mult(a, b), mult(a, c)))),
% 5.15/5.33 inference(monotonicity,[status(thm)],[8015])).
% 5.15/5.33 tff(8017,plain,
% 5.15/5.33 (mult(mult(b, a), mult(mult(a, mult(c, b)), a)) = mult(mult(a, b), mult(mult(a, mult(c, b)), a))),
% 5.15/5.33 inference(transitivity,[status(thm)],[8016, 8014, 8010, 7567, 7229, 7228, 5968, 5684, 5335, 5333, 5302, 5967])).
% 5.15/5.33 tff(8018,plain,
% 5.15/5.33 (rd(mult(mult(b, a), mult(mult(a, mult(c, b)), a)), mult(mult(a, mult(c, b)), a)) = rd(mult(mult(a, b), mult(mult(a, mult(c, b)), a)), mult(mult(a, mult(c, b)), a))),
% 5.15/5.33 inference(monotonicity,[status(thm)],[8017])).
% 5.15/5.33 tff(8019,plain,
% 5.15/5.33 (rd(mult(mult(a, b), mult(mult(a, mult(c, b)), a)), mult(mult(a, mult(c, b)), a)) = rd(mult(mult(b, a), mult(mult(a, mult(c, b)), a)), mult(mult(a, mult(c, b)), a))),
% 5.15/5.33 inference(symmetry,[status(thm)],[8018])).
% 5.15/5.33 tff(8020,plain,
% 5.15/5.33 ((~![B: $i, A: $i] : (rd(mult(A, B), B) = A)) | (rd(mult(mult(a, b), mult(mult(a, mult(c, b)), a)), mult(mult(a, mult(c, b)), a)) = mult(a, b))),
% 5.15/5.33 inference(quant_inst,[status(thm)],[])).
% 5.15/5.33 tff(8021,plain,
% 5.15/5.33 (rd(mult(mult(a, b), mult(mult(a, mult(c, b)), a)), mult(mult(a, mult(c, b)), a)) = mult(a, b)),
% 5.15/5.33 inference(unit_resolution,[status(thm)],[8020, 72])).
% 5.15/5.33 tff(8022,plain,
% 5.15/5.33 (mult(a, b) = rd(mult(mult(a, b), mult(mult(a, mult(c, b)), a)), mult(mult(a, mult(c, b)), a))),
% 5.15/5.33 inference(symmetry,[status(thm)],[8021])).
% 5.15/5.33 tff(8023,plain,
% 5.15/5.33 (mult(a, b) = mult(b, a)),
% 5.15/5.33 inference(transitivity,[status(thm)],[8022, 8019, 5295])).
% 5.15/5.33 tff(8024,plain,
% 5.15/5.33 ($false),
% 5.15/5.33 inference(unit_resolution,[status(thm)],[5715, 8023])).
% 5.15/5.33 tff(8025,plain,((mult(mult(a, mult(a, b)), c) = mult(a, mult(mult(a, b), c))) | (mult(mult(a, c), b) = mult(a, mult(c, b))) | (mult(mult(mult(a, c), b), a) = mult(mult(a, c), mult(b, a)))), inference(lemma,lemma(discharge,[]))).
% 5.15/5.33 tff(8026,plain,
% 5.15/5.33 (mult(mult(a, mult(a, b)), c) = mult(a, mult(mult(a, b), c))),
% 5.15/5.33 inference(unit_resolution,[status(thm)],[8025, 614, 41])).
% 5.15/5.33 tff(8027,plain,
% 5.15/5.33 (mult(mult(a, mult(a, b)), c) = mult(a, mult(a, mult(c, b)))),
% 5.15/5.33 inference(transitivity,[status(thm)],[8026, 4718])).
% 5.15/5.33 tff(8028,plain,
% 5.15/5.33 ((mult(mult(a, mult(a, b)), c) = mult(a, mult(c, mult(a, b)))) <=> (mult(a, mult(a, mult(c, b))) = mult(mult(a, mult(c, b)), a))),
% 5.15/5.33 inference(monotonicity,[status(thm)],[8027, 5293])).
% 5.15/5.33 tff(8029,plain,
% 5.15/5.33 ((mult(mult(a, mult(a, b)), c) = mult(a, mult(c, mult(a, b)))) <=> (mult(mult(a, mult(c, b)), a) = mult(a, mult(a, mult(c, b))))),
% 5.15/5.33 inference(transitivity,[status(thm)],[8028, 2847])).
% 5.15/5.33 tff(8030,plain,
% 5.15/5.33 (mult(mult(a, mult(c, b)), a) = mult(mult(mult(a, c), b), a)),
% 5.15/5.33 inference(transitivity,[status(thm)],[707, 1434, 989, 1106])).
% 5.15/5.33 tff(8031,plain,
% 5.15/5.33 (rd(mult(mult(a, mult(c, b)), a), a) = rd(mult(mult(mult(a, c), b), a), a)),
% 5.15/5.33 inference(monotonicity,[status(thm)],[8030])).
% 5.15/5.33 tff(8032,plain,
% 5.15/5.33 (rd(mult(mult(mult(a, c), b), a), a) = rd(mult(mult(a, mult(c, b)), a), a)),
% 5.15/5.33 inference(symmetry,[status(thm)],[8031])).
% 5.15/5.33 tff(8033,plain,
% 5.15/5.33 (mult(mult(a, c), b) = mult(a, mult(c, b))),
% 5.15/5.33 inference(transitivity,[status(thm)],[389, 8032, 2295])).
% 5.15/5.33 tff(8034,plain,
% 5.15/5.33 ($false),
% 5.15/5.33 inference(unit_resolution,[status(thm)],[41, 8033])).
% 5.15/5.33 tff(8035,plain,((~(mult(mult(a, c), mult(a, b)) = mult(a, mult(c, mult(a, b))))) | (mult(mult(a, c), b) = mult(a, mult(c, b))) | (~(mult(mult(mult(a, c), b), a) = mult(mult(a, c), mult(a, b)))) | (~(mult(mult(a, mult(c, b)), a) = mult(a, mult(mult(c, b), a)))) | (~(mult(mult(c, b), a) = mult(c, mult(a, b))))), inference(lemma,lemma(discharge,[]))).
% 5.15/5.34 tff(8036,plain,
% 5.15/5.34 (~(mult(mult(a, c), mult(a, b)) = mult(a, mult(c, mult(a, b))))),
% 5.15/5.34 inference(unit_resolution,[status(thm)],[8035, 971, 41, 4821, 5290])).
% 5.15/5.34 tff(8037,plain,
% 5.15/5.34 ((~(mult(mult(a, mult(a, b)), c) = mult(a, mult(mult(a, b), c)))) | (~(mult(mult(a, c), mult(a, b)) = mult(a, mult(c, mult(a, b)))))),
% 5.15/5.34 inference(unit_resolution,[status(thm)],[604, 8036])).
% 5.15/5.34 tff(8038,plain,
% 5.15/5.34 (~((~(mult(mult(a, mult(a, b)), c) = mult(a, mult(c, mult(a, b))))) | (~(mult(mult(a, c), mult(a, b)) = mult(a, mult(mult(a, b), c)))))),
% 5.15/5.34 inference(unit_resolution,[status(thm)],[292, 8037])).
% 5.15/5.34 tff(8039,plain,
% 5.15/5.34 (mult(mult(a, mult(a, b)), c) = mult(a, mult(c, mult(a, b)))),
% 5.15/5.34 inference(unit_resolution,[status(thm)],[287, 8038])).
% 5.15/5.34 tff(8040,plain,
% 5.15/5.34 (mult(mult(a, mult(c, b)), a) = mult(a, mult(a, mult(c, b)))),
% 5.15/5.34 inference(modus_ponens,[status(thm)],[8039, 8029])).
% 5.15/5.34 tff(8041,plain,
% 5.15/5.34 (~(mult(mult(a, mult(a, mult(c, b))), a) = mult(a, mult(a, mult(a, mult(c, b)))))),
% 5.15/5.34 inference(unit_resolution,[status(thm)],[5422, 8036, 4821, 5290, 91])).
% 5.15/5.34 tff(8042,plain,
% 5.15/5.34 (~(mult(mult(a, mult(c, b)), a) = mult(a, mult(a, mult(c, b))))),
% 5.15/5.34 inference(unit_resolution,[status(thm)],[4749, 8041])).
% 5.15/5.34 tff(8043,plain,
% 5.15/5.34 ($false),
% 5.15/5.34 inference(unit_resolution,[status(thm)],[8042, 8040])).
% 5.15/5.34 tff(8044,plain,((mult(mult(mult(a, c), b), a) = mult(mult(a, c), mult(b, a))) | (mult(mult(a, c), b) = mult(a, mult(c, b)))), inference(lemma,lemma(discharge,[]))).
% 5.15/5.34 tff(8045,plain,
% 5.15/5.34 (mult(mult(mult(a, c), b), a) = mult(mult(a, c), mult(b, a))),
% 5.15/5.34 inference(unit_resolution,[status(thm)],[8044, 41])).
% 5.15/5.34 tff(8046,plain,
% 5.15/5.34 (mult(mult(mult(mult(a, b), c), a), a) = mult(mult(mult(a, mult(c, b)), a), a)),
% 5.15/5.34 inference(symmetry,[status(thm)],[7649])).
% 5.15/5.34 tff(8047,plain,
% 5.15/5.34 (mult(mult(mult(a, b), c), a) = mult(a, mult(a, mult(c, b)))),
% 5.15/5.34 inference(transitivity,[status(thm)],[107, 89])).
% 5.15/5.34 tff(8048,plain,
% 5.15/5.34 (mult(mult(mult(mult(a, b), c), a), a) = mult(mult(a, mult(a, mult(c, b))), a)),
% 5.15/5.34 inference(monotonicity,[status(thm)],[8047])).
% 5.15/5.34 tff(8049,plain,
% 5.15/5.34 (mult(mult(a, mult(a, mult(c, b))), a) = mult(mult(mult(mult(a, b), c), a), a)),
% 5.15/5.34 inference(symmetry,[status(thm)],[8048])).
% 5.15/5.34 tff(8050,plain,
% 5.15/5.34 ((mult(mult(a, mult(a, mult(c, b))), a) = mult(a, mult(a, mult(a, mult(c, b))))) <=> (mult(mult(a, mult(a, mult(c, b))), a) = mult(a, mult(mult(a, mult(c, b)), a)))),
% 5.15/5.34 inference(monotonicity,[status(thm)],[4752])).
% 5.15/5.34 tff(8051,plain,
% 5.15/5.34 (mult(mult(a, mult(a, mult(c, b))), a) = mult(a, mult(mult(a, mult(c, b)), a))),
% 5.15/5.34 inference(modus_ponens,[status(thm)],[4750, 8050])).
% 5.15/5.34 tff(8052,plain,
% 5.15/5.34 (mult(a, mult(mult(a, mult(c, b)), a)) = mult(mult(a, mult(a, mult(c, b))), a)),
% 5.15/5.34 inference(symmetry,[status(thm)],[8051])).
% 5.15/5.34 tff(8053,plain,
% 5.15/5.34 (mult(mult(mult(a, a), mult(c, b)), a) = mult(mult(mult(a, mult(c, b)), a), a)),
% 5.15/5.34 inference(transitivity,[status(thm)],[4757, 8052, 8049, 8046])).
% 5.15/5.34 tff(8054,plain,
% 5.15/5.34 (rd(mult(mult(mult(a, a), mult(c, b)), a), a) = rd(mult(mult(mult(a, mult(c, b)), a), a), a)),
% 5.15/5.34 inference(monotonicity,[status(thm)],[8053])).
% 5.15/5.34 tff(8055,plain,
% 5.15/5.34 (mult(mult(a, a), mult(c, b)) = mult(a, mult(a, mult(c, b)))),
% 5.15/5.34 inference(transitivity,[status(thm)],[4762, 8054, 4721, 89])).
% 5.15/5.34 tff(8056,plain,
% 5.15/5.34 ($false),
% 5.15/5.34 inference(unit_resolution,[status(thm)],[4776, 8055])).
% 5.15/5.34 tff(8057,plain,((mult(mult(a, mult(c, b)), a) = mult(a, mult(mult(c, b), a))) | (~(mult(mult(a, b), c) = mult(a, mult(c, b))))), inference(lemma,lemma(discharge,[]))).
% 5.15/5.34 tff(8058,plain,
% 5.15/5.34 (mult(mult(a, mult(c, b)), a) = mult(a, mult(mult(c, b), a))),
% 5.15/5.34 inference(unit_resolution,[status(thm)],[8057, 91])).
% 5.15/5.34 tff(8059,plain,
% 5.15/5.34 (mult(mult(c, a), b) = mult(c, mult(b, a))),
% 5.15/5.34 inference(unit_resolution,[status(thm)],[719, 275, 91, 8058])).
% 5.15/5.34 tff(8060,plain,
% 5.15/5.34 (~(mult(mult(c, a), b) = mult(c, mult(b, a)))),
% 5.15/5.34 inference(unit_resolution,[status(thm)],[2153, 219, 2009, 248])).
% 5.15/5.34 tff(8061,plain,
% 5.15/5.34 ((~(mult(mult(c, b), a) = mult(c, mult(a, b)))) | (~(mult(mult(c, a), b) = mult(c, mult(b, a))))),
% 5.15/5.34 inference(unit_resolution,[status(thm)],[303, 8060])).
% 5.15/5.34 tff(8062,plain,
% 5.15/5.34 (~((~(mult(mult(c, b), a) = mult(c, mult(b, a)))) | (~(mult(mult(c, a), b) = mult(c, mult(a, b)))))),
% 5.15/5.34 inference(unit_resolution,[status(thm)],[301, 8061])).
% 5.15/5.34 tff(8063,plain,
% 5.15/5.34 (mult(mult(c, a), b) = mult(c, mult(a, b))),
% 5.15/5.34 inference(unit_resolution,[status(thm)],[296, 8062])).
% 5.15/5.34 tff(8064,plain,
% 5.15/5.34 (mult(c, mult(a, b)) = mult(mult(c, a), b)),
% 5.15/5.34 inference(symmetry,[status(thm)],[8063])).
% 5.15/5.34 tff(8065,plain,
% 5.15/5.34 (mult(a, mult(c, mult(a, b))) = mult(a, mult(mult(c, a), b))),
% 5.15/5.34 inference(monotonicity,[status(thm)],[8064])).
% 5.15/5.34 tff(8066,plain,
% 5.15/5.34 (mult(a, mult(mult(c, a), b)) = mult(a, mult(c, mult(a, b)))),
% 5.15/5.34 inference(symmetry,[status(thm)],[8065])).
% 5.15/5.34 tff(8067,plain,
% 5.15/5.34 (mult(mult(c, b), a) = mult(c, mult(b, a))),
% 5.15/5.34 inference(unit_resolution,[status(thm)],[543, 8062])).
% 5.15/5.34 tff(8068,plain,
% 5.15/5.34 (mult(a, mult(mult(c, b), a)) = mult(a, mult(c, mult(b, a)))),
% 5.15/5.34 inference(monotonicity,[status(thm)],[8067])).
% 5.15/5.34 tff(8069,plain,
% 5.15/5.34 (mult(a, mult(mult(c, b), a)) = mult(mult(a, b), mult(a, c))),
% 5.15/5.34 inference(transitivity,[status(thm)],[8068, 2010, 1692, 253])).
% 5.15/5.34 tff(8070,plain,
% 5.15/5.34 ((mult(mult(a, mult(c, b)), a) = mult(a, mult(mult(c, b), a))) <=> (mult(mult(mult(a, b), c), a) = mult(mult(a, b), mult(a, c)))),
% 5.15/5.34 inference(monotonicity,[status(thm)],[260, 8069])).
% 5.15/5.34 tff(8071,plain,
% 5.15/5.34 ((mult(mult(mult(a, b), c), a) = mult(mult(a, b), mult(a, c))) <=> (mult(mult(a, mult(c, b)), a) = mult(a, mult(mult(c, b), a)))),
% 5.15/5.34 inference(symmetry,[status(thm)],[8070])).
% 5.15/5.34 tff(8072,plain,
% 5.15/5.34 ((~(mult(mult(mult(a, b), c), a) = mult(mult(a, b), mult(a, c)))) <=> (~(mult(mult(a, mult(c, b)), a) = mult(a, mult(mult(c, b), a))))),
% 5.15/5.34 inference(monotonicity,[status(thm)],[8071])).
% 5.15/5.34 tff(8073,plain,
% 5.15/5.34 (~(mult(mult(a, mult(c, b)), a) = mult(a, mult(mult(c, b), a)))),
% 5.15/5.34 inference(modus_ponens,[status(thm)],[248, 8072])).
% 5.15/5.34 tff(8074,plain,
% 5.15/5.34 ((~(mult(mult(a, a), mult(c, b)) = mult(a, mult(a, mult(c, b))))) | (~(mult(mult(a, mult(c, b)), a) = mult(a, mult(mult(c, b), a))))),
% 5.15/5.34 inference(unit_resolution,[status(thm)],[79, 8073])).
% 5.15/5.34 tff(8075,plain,
% 5.15/5.34 (~((~(mult(mult(a, a), mult(c, b)) = mult(a, mult(mult(c, b), a)))) | (~(mult(mult(a, mult(c, b)), a) = mult(a, mult(a, mult(c, b))))))),
% 5.15/5.34 inference(unit_resolution,[status(thm)],[1050, 8074])).
% 5.15/5.34 tff(8076,plain,
% 5.15/5.34 (mult(mult(a, mult(c, b)), a) = mult(a, mult(a, mult(c, b)))),
% 5.15/5.34 inference(unit_resolution,[status(thm)],[88, 8075])).
% 5.15/5.34 tff(8077,plain,
% 5.15/5.34 (mult(a, mult(a, mult(c, b))) = mult(mult(a, mult(c, b)), a)),
% 5.15/5.34 inference(symmetry,[status(thm)],[8076])).
% 5.15/5.34 tff(8078,plain,
% 5.15/5.34 (mult(a, mult(mult(a, b), c)) = mult(a, mult(c, mult(a, b)))),
% 5.15/5.34 inference(transitivity,[status(thm)],[258, 8077, 260, 275, 282, 8066])).
% 5.15/5.34 tff(8079,plain,
% 5.15/5.34 ((mult(mult(a, c), mult(a, b)) = mult(a, mult(mult(a, b), c))) <=> (mult(mult(a, c), mult(a, b)) = mult(a, mult(c, mult(a, b))))),
% 5.15/5.34 inference(monotonicity,[status(thm)],[8078])).
% 5.15/5.34 tff(8080,plain,
% 5.15/5.34 ((mult(mult(a, c), mult(a, b)) = mult(a, mult(c, mult(a, b)))) <=> (mult(mult(a, c), mult(a, b)) = mult(a, mult(mult(a, b), c)))),
% 5.15/5.34 inference(symmetry,[status(thm)],[8079])).
% 5.15/5.34 tff(8081,plain,
% 5.15/5.34 (((~(mult(mult(a, c), mult(a, b)) = mult(a, mult(c, mult(a, b))))) | (~(mult(mult(a, mult(a, b)), c) = mult(a, mult(mult(a, b), c))))) | (mult(mult(a, c), mult(a, b)) = mult(a, mult(c, mult(a, b))))),
% 5.15/5.34 inference(tautology,[status(thm)],[])).
% 5.15/5.34 tff(8082,plain,
% 5.15/5.34 ((~(mult(mult(a, c), mult(a, b)) = mult(a, mult(c, mult(a, b))))) | (~(mult(mult(a, mult(a, b)), c) = mult(a, mult(mult(a, b), c))))),
% 5.15/5.34 inference(unit_resolution,[status(thm)],[8081, 5107])).
% 5.15/5.34 tff(8083,plain,
% 5.15/5.34 (~((~(mult(mult(a, c), mult(a, b)) = mult(a, mult(mult(a, b), c)))) | (~(mult(mult(a, mult(a, b)), c) = mult(a, mult(c, mult(a, b))))))),
% 5.15/5.34 inference(unit_resolution,[status(thm)],[3675, 30, 8082])).
% 5.15/5.34 tff(8084,plain,
% 5.15/5.34 (((~(mult(mult(a, c), mult(a, b)) = mult(a, mult(mult(a, b), c)))) | (~(mult(mult(a, mult(a, b)), c) = mult(a, mult(c, mult(a, b)))))) | (mult(mult(a, c), mult(a, b)) = mult(a, mult(mult(a, b), c)))),
% 5.15/5.34 inference(tautology,[status(thm)],[])).
% 5.15/5.34 tff(8085,plain,
% 5.15/5.34 (mult(mult(a, c), mult(a, b)) = mult(a, mult(mult(a, b), c))),
% 5.15/5.34 inference(unit_resolution,[status(thm)],[8084, 8083])).
% 5.15/5.34 tff(8086,plain,
% 5.15/5.34 (~(mult(mult(a, mult(c, b)), a) = mult(a, mult(a, mult(c, b))))),
% 5.15/5.34 inference(unit_resolution,[status(thm)],[3654, 8085, 106, 41, 275, 3635, 3448])).
% 5.15/5.34 tff(8087,plain,
% 5.15/5.34 ((~(mult(mult(a, a), mult(c, b)) = mult(a, mult(mult(c, b), a)))) | (~(mult(mult(a, mult(c, b)), a) = mult(a, mult(a, mult(c, b)))))),
% 5.15/5.34 inference(unit_resolution,[status(thm)],[88, 8086])).
% 5.15/5.34 tff(8088,plain,
% 5.15/5.34 (~((~(mult(mult(a, a), mult(c, b)) = mult(a, mult(a, mult(c, b))))) | (~(mult(mult(a, mult(c, b)), a) = mult(a, mult(mult(c, b), a)))))),
% 5.15/5.34 inference(unit_resolution,[status(thm)],[1050, 8087])).
% 5.15/5.34 tff(8089,plain,
% 5.15/5.34 (mult(mult(a, mult(c, b)), a) = mult(a, mult(mult(c, b), a))),
% 5.15/5.34 inference(unit_resolution,[status(thm)],[79, 8088])).
% 5.15/5.34 tff(8090,plain,
% 5.15/5.34 (mult(a, mult(mult(c, b), a)) = mult(mult(a, mult(c, b)), a)),
% 5.15/5.34 inference(symmetry,[status(thm)],[8089])).
% 5.15/5.34 tff(8091,plain,
% 5.15/5.34 (mult(a, mult(mult(c, b), a)) = mult(a, mult(mult(c, a), b))),
% 5.15/5.34 inference(transitivity,[status(thm)],[8090, 260, 275, 282])).
% 5.15/5.34 tff(8092,plain,
% 5.15/5.34 (ld(a, mult(a, mult(mult(c, b), a))) = ld(a, mult(a, mult(mult(c, a), b)))),
% 5.15/5.34 inference(monotonicity,[status(thm)],[8091])).
% 5.15/5.34 tff(8093,plain,
% 5.15/5.34 (mult(mult(c, b), a) = mult(mult(c, a), b)),
% 5.15/5.34 inference(transitivity,[status(thm)],[713, 8092, 209])).
% 5.15/5.34 tff(8094,plain,
% 5.15/5.34 ((mult(mult(c, b), a) = mult(c, mult(a, b))) <=> (mult(mult(c, a), b) = mult(c, mult(a, b)))),
% 5.15/5.34 inference(monotonicity,[status(thm)],[8093])).
% 5.15/5.34 tff(8095,plain,
% 5.15/5.34 ((mult(mult(c, a), b) = mult(c, mult(a, b))) <=> (mult(mult(c, b), a) = mult(c, mult(a, b)))),
% 5.15/5.34 inference(symmetry,[status(thm)],[8094])).
% 5.15/5.34 tff(8096,plain,
% 5.15/5.34 ((~(mult(mult(c, a), b) = mult(c, mult(a, b)))) <=> (~(mult(mult(c, b), a) = mult(c, mult(a, b))))),
% 5.15/5.34 inference(monotonicity,[status(thm)],[8095])).
% 5.15/5.34 tff(8097,plain,
% 5.15/5.34 (mult(mult(a, mult(a, b)), c) = mult(a, mult(c, mult(a, b)))),
% 5.15/5.34 inference(unit_resolution,[status(thm)],[3671, 8083])).
% 5.15/5.34 tff(8098,plain,
% 5.15/5.34 (~(mult(mult(c, a), b) = mult(c, mult(a, b)))),
% 5.15/5.34 inference(unit_resolution,[status(thm)],[285, 8097, 248, 250])).
% 5.15/5.34 tff(8099,plain,
% 5.15/5.34 (~(mult(mult(c, b), a) = mult(c, mult(a, b)))),
% 5.15/5.34 inference(modus_ponens,[status(thm)],[8098, 8096])).
% 5.15/5.34 tff(8100,plain,
% 5.15/5.34 ((~(mult(mult(c, b), a) = mult(c, mult(b, a)))) | (~(mult(mult(c, a), b) = mult(c, mult(a, b))))),
% 5.15/5.34 inference(unit_resolution,[status(thm)],[296, 8098])).
% 5.15/5.34 tff(8101,plain,
% 5.15/5.34 (~((~(mult(mult(c, b), a) = mult(c, mult(a, b)))) | (~(mult(mult(c, a), b) = mult(c, mult(b, a)))))),
% 5.15/5.34 inference(unit_resolution,[status(thm)],[301, 8100])).
% 5.15/5.34 tff(8102,plain,
% 5.15/5.34 (mult(mult(c, b), a) = mult(c, mult(a, b))),
% 5.15/5.34 inference(unit_resolution,[status(thm)],[546, 8101])).
% 5.15/5.34 tff(8103,plain,
% 5.15/5.34 ($false),
% 5.15/5.34 inference(unit_resolution,[status(thm)],[8102, 8099])).
% 5.15/5.34 tff(8104,plain,((~(mult(mult(a, b), a) = mult(a, mult(a, b)))) | (~(mult(mult(a, b), c) = mult(a, mult(c, b)))) | (mult(mult(mult(a, b), c), a) = mult(mult(a, b), mult(a, c))) | (mult(mult(a, c), b) = mult(a, mult(c, b))) | (~(mult(mult(b, mult(c, a)), a) = mult(b, mult(a, mult(c, a))))) | (~(mult(mult(b, a), c) = mult(b, mult(c, a)))) | (mult(mult(a, c), mult(a, b)) = mult(a, mult(c, mult(a, b))))), inference(lemma,lemma(discharge,[]))).
% 5.15/5.34 tff(8105,plain,
% 5.15/5.34 (~(mult(mult(a, b), a) = mult(a, mult(a, b)))),
% 5.15/5.34 inference(unit_resolution,[status(thm)],[8104, 5107, 248, 41, 3635, 3448, 106])).
% 5.15/5.34 tff(8106,plain,
% 5.15/5.34 ((~(mult(mult(a, a), b) = mult(a, mult(b, a)))) | (~(mult(mult(a, b), a) = mult(a, mult(a, b))))),
% 5.15/5.34 inference(unit_resolution,[status(thm)],[246, 8105])).
% 5.15/5.34 tff(8107,plain,
% 5.15/5.34 (~((~(mult(mult(a, a), b) = mult(a, mult(a, b)))) | (~(mult(mult(a, b), a) = mult(a, mult(b, a)))))),
% 5.15/5.34 inference(unit_resolution,[status(thm)],[244, 8106])).
% 5.15/5.34 tff(8108,plain,
% 5.15/5.34 (mult(mult(a, b), a) = mult(a, mult(b, a))),
% 5.15/5.34 inference(unit_resolution,[status(thm)],[232, 8107])).
% 5.15/5.34 tff(8109,plain,
% 5.15/5.34 (mult(a, mult(b, a)) = mult(mult(a, b), a)),
% 5.15/5.34 inference(symmetry,[status(thm)],[8108])).
% 5.15/5.34 tff(8110,plain,
% 5.15/5.34 (mult(mult(a, mult(b, a)), c) = mult(mult(mult(a, b), a), c)),
% 5.15/5.34 inference(monotonicity,[status(thm)],[8109])).
% 5.15/5.34 tff(8111,plain,
% 5.15/5.34 (~(mult(mult(c, a), b) = mult(c, mult(b, a)))),
% 5.15/5.34 inference(unit_resolution,[status(thm)],[2153, 8108, 2009, 248])).
% 5.15/5.34 tff(8112,plain,
% 5.15/5.34 ((~(mult(mult(c, b), a) = mult(c, mult(a, b)))) | (~(mult(mult(c, a), b) = mult(c, mult(b, a))))),
% 5.15/5.34 inference(unit_resolution,[status(thm)],[303, 8111])).
% 5.15/5.34 tff(8113,plain,
% 5.15/5.34 (~((~(mult(mult(c, b), a) = mult(c, mult(b, a)))) | (~(mult(mult(c, a), b) = mult(c, mult(a, b)))))),
% 5.15/5.34 inference(unit_resolution,[status(thm)],[301, 8112])).
% 5.15/5.34 tff(8114,plain,
% 5.15/5.34 (mult(mult(c, b), a) = mult(c, mult(b, a))),
% 5.15/5.34 inference(unit_resolution,[status(thm)],[543, 8113])).
% 5.15/5.34 tff(8115,plain,
% 5.15/5.34 (mult(a, mult(mult(c, b), a)) = mult(a, mult(c, mult(b, a)))),
% 5.15/5.34 inference(monotonicity,[status(thm)],[8114])).
% 5.15/5.34 tff(8116,plain,
% 5.15/5.34 (mult(a, mult(mult(c, b), a)) = mult(mult(a, b), mult(a, c))),
% 5.15/5.34 inference(transitivity,[status(thm)],[8115, 2010, 8110, 253])).
% 5.15/5.34 tff(8117,plain,
% 5.15/5.34 ((mult(mult(a, mult(c, b)), a) = mult(a, mult(mult(c, b), a))) <=> (mult(mult(mult(a, b), c), a) = mult(mult(a, b), mult(a, c)))),
% 5.15/5.34 inference(monotonicity,[status(thm)],[260, 8116])).
% 5.15/5.34 tff(8118,plain,
% 5.15/5.34 ((mult(mult(mult(a, b), c), a) = mult(mult(a, b), mult(a, c))) <=> (mult(mult(a, mult(c, b)), a) = mult(a, mult(mult(c, b), a)))),
% 5.15/5.34 inference(symmetry,[status(thm)],[8117])).
% 5.15/5.34 tff(8119,plain,
% 5.15/5.34 ((~(mult(mult(mult(a, b), c), a) = mult(mult(a, b), mult(a, c)))) <=> (~(mult(mult(a, mult(c, b)), a) = mult(a, mult(mult(c, b), a))))),
% 5.15/5.34 inference(monotonicity,[status(thm)],[8118])).
% 5.15/5.34 tff(8120,plain,
% 5.15/5.34 (~(mult(mult(a, mult(c, b)), a) = mult(a, mult(mult(c, b), a)))),
% 5.15/5.34 inference(modus_ponens,[status(thm)],[248, 8119])).
% 5.15/5.34 tff(8121,plain,
% 5.15/5.34 ((~(mult(mult(a, a), mult(c, b)) = mult(a, mult(a, mult(c, b))))) | (~(mult(mult(a, mult(c, b)), a) = mult(a, mult(mult(c, b), a))))),
% 5.15/5.34 inference(unit_resolution,[status(thm)],[79, 8120])).
% 5.15/5.34 tff(8122,plain,
% 5.15/5.34 (~((~(mult(mult(a, a), mult(c, b)) = mult(a, mult(mult(c, b), a)))) | (~(mult(mult(a, mult(c, b)), a) = mult(a, mult(a, mult(c, b))))))),
% 5.15/5.34 inference(unit_resolution,[status(thm)],[1050, 8121])).
% 5.15/5.34 tff(8123,plain,
% 5.15/5.34 ($false),
% 5.15/5.34 inference(unit_resolution,[status(thm)],[88, 8086, 8122])).
% 5.15/5.34 tff(8124,plain,((mult(mult(a, c), mult(a, b)) = mult(a, mult(c, mult(a, b)))) | (~(mult(mult(a, b), c) = mult(a, mult(c, b)))) | (mult(mult(a, c), b) = mult(a, mult(c, b))) | (~(mult(mult(b, mult(c, a)), a) = mult(b, mult(a, mult(c, a))))) | (~(mult(mult(b, a), c) = mult(b, mult(c, a)))) | (mult(mult(mult(a, b), c), a) = mult(mult(a, b), mult(a, c))) | (~(mult(mult(a, mult(b, a)), c) = mult(a, mult(c, mult(b, a)))))), inference(lemma,lemma(discharge,[]))).
% 5.15/5.34 tff(8125,plain,
% 5.15/5.34 (mult(mult(a, c), mult(a, b)) = mult(a, mult(c, mult(a, b)))),
% 5.15/5.34 inference(unit_resolution,[status(thm)],[8124, 3635, 41, 106, 3448, 248, 2009])).
% 5.15/5.34 tff(8126,plain,
% 5.15/5.34 (mult(mult(a, c), mult(a, b)) = mult(a, mult(mult(a, b), c))),
% 5.15/5.34 inference(modus_ponens,[status(thm)],[8125, 8080])).
% 5.15/5.34 tff(8127,plain,
% 5.15/5.34 (~(mult(mult(a, c), mult(a, b)) = mult(a, mult(mult(a, b), c)))),
% 5.15/5.34 inference(unit_resolution,[status(thm)],[3654, 8076, 106, 41, 275, 3635, 3448])).
% 5.15/5.34 tff(8128,plain,
% 5.15/5.34 ($false),
% 5.15/5.34 inference(unit_resolution,[status(thm)],[8127, 8126])).
% 5.15/5.34 tff(8129,plain,((~(mult(mult(a, b), a) = mult(a, mult(b, a)))) | (~(mult(mult(a, b), c) = mult(a, mult(c, b)))) | (mult(mult(a, c), b) = mult(a, mult(c, b))) | (~(mult(mult(b, mult(c, a)), a) = mult(b, mult(a, mult(c, a))))) | (~(mult(mult(b, a), c) = mult(b, mult(c, a)))) | (mult(mult(mult(a, b), c), a) = mult(mult(a, b), mult(a, c))) | (~(mult(mult(a, mult(b, a)), c) = mult(a, mult(c, mult(b, a)))))), inference(lemma,lemma(discharge,[]))).
% 5.15/5.34 tff(8130,plain,
% 5.15/5.34 ((~(mult(mult(a, b), a) = mult(a, mult(b, a)))) | (~(mult(mult(a, b), c) = mult(a, mult(c, b)))) | (mult(mult(a, c), b) = mult(a, mult(c, b))) | (~(mult(mult(b, mult(c, a)), a) = mult(b, mult(a, mult(c, a))))) | (mult(mult(mult(a, b), c), a) = mult(mult(a, b), mult(a, c))) | (~(mult(mult(a, mult(b, a)), c) = mult(a, mult(c, mult(b, a)))))),
% 5.15/5.35 inference(unit_resolution,[status(thm)],[8129, 3427])).
% 5.15/5.35 tff(8131,plain,
% 5.15/5.35 ((~(mult(mult(a, b), a) = mult(a, mult(b, a)))) | (~(mult(mult(a, b), c) = mult(a, mult(c, b)))) | (mult(mult(a, c), b) = mult(a, mult(c, b))) | (mult(mult(mult(a, b), c), a) = mult(mult(a, b), mult(a, c))) | (~(mult(mult(a, mult(b, a)), c) = mult(a, mult(c, mult(b, a)))))),
% 5.15/5.35 inference(unit_resolution,[status(thm)],[8130, 4679])).
% 5.15/5.35 tff(8132,plain,
% 5.15/5.35 (~(mult(mult(a, mult(b, a)), c) = mult(a, mult(c, mult(b, a))))),
% 5.15/5.35 inference(unit_resolution,[status(thm)],[8131, 248, 4193, 41, 91])).
% 5.15/5.35 tff(8133,plain,
% 5.15/5.35 ((~(mult(mult(a, c), mult(b, a)) = mult(a, mult(mult(b, a), c)))) | (~(mult(mult(a, mult(b, a)), c) = mult(a, mult(c, mult(b, a)))))),
% 5.15/5.35 inference(unit_resolution,[status(thm)],[217, 8132])).
% 5.15/5.35 tff(8134,plain,
% 5.15/5.35 (~((~(mult(mult(a, c), mult(b, a)) = mult(a, mult(c, mult(b, a))))) | (~(mult(mult(a, mult(b, a)), c) = mult(a, mult(mult(b, a), c)))))),
% 5.15/5.35 inference(unit_resolution,[status(thm)],[132, 8133])).
% 5.15/5.35 tff(8135,plain,
% 5.15/5.35 (mult(mult(a, c), mult(b, a)) = mult(a, mult(c, mult(b, a)))),
% 5.15/5.35 inference(unit_resolution,[status(thm)],[120, 8134])).
% 5.15/5.35 tff(8136,plain,
% 5.15/5.35 ($false),
% 5.15/5.35 inference(unit_resolution,[status(thm)],[2737, 8135, 8059, 41, 8045, 275, 91])).
% 5.15/5.35 tff(8137,plain,((mult(mult(mult(a, b), c), a) = mult(mult(a, b), mult(a, c))) | (mult(mult(a, c), b) = mult(a, mult(c, b)))), inference(lemma,lemma(discharge,[]))).
% 5.15/5.35 tff(8138,plain,
% 5.15/5.35 (mult(mult(mult(a, b), c), a) = mult(mult(a, b), mult(a, c))),
% 5.15/5.35 inference(unit_resolution,[status(thm)],[8137, 41])).
% 5.15/5.35 tff(8139,plain,
% 5.15/5.35 (mult(a, mult(mult(b, c), a)) = mult(a, mult(b, mult(a, c)))),
% 5.15/5.35 inference(monotonicity,[status(thm)],[3433])).
% 5.15/5.35 tff(8140,plain,
% 5.15/5.35 (mult(a, mult(b, mult(a, c))) = mult(a, mult(mult(b, c), a))),
% 5.15/5.35 inference(symmetry,[status(thm)],[8139])).
% 5.15/5.35 tff(8141,plain,
% 5.15/5.35 (mult(a, mult(mult(c, b), a)) = mult(mult(a, mult(c, b)), a)),
% 5.15/5.35 inference(symmetry,[status(thm)],[8058])).
% 5.15/5.35 tff(8142,plain,
% 5.15/5.35 (mult(a, mult(mult(c, b), a)) = mult(a, mult(mult(b, c), a))),
% 5.15/5.35 inference(transitivity,[status(thm)],[8141, 609, 8138, 404, 8140])).
% 5.15/5.35 tff(8143,plain,
% 5.15/5.35 (ld(a, mult(a, mult(mult(c, b), a))) = ld(a, mult(a, mult(mult(b, c), a)))),
% 5.15/5.35 inference(monotonicity,[status(thm)],[8142])).
% 5.15/5.35 tff(8144,plain,
% 5.15/5.35 (mult(mult(c, b), a) = mult(mult(b, c), a)),
% 5.15/5.35 inference(transitivity,[status(thm)],[713, 8143, 4716])).
% 5.15/5.35 tff(8145,plain,
% 5.15/5.35 (rd(mult(mult(c, b), a), a) = rd(mult(mult(b, c), a), a)),
% 5.15/5.35 inference(monotonicity,[status(thm)],[8144])).
% 5.15/5.35 tff(8146,plain,
% 5.15/5.35 (mult(c, b) = mult(b, c)),
% 5.15/5.35 inference(transitivity,[status(thm)],[536, 8145, 525])).
% 5.15/5.35 tff(8147,plain,
% 5.15/5.35 (mult(a, mult(c, b)) = mult(a, mult(b, c))),
% 5.15/5.35 inference(monotonicity,[status(thm)],[8146])).
% 5.15/5.35 tff(8148,plain,
% 5.15/5.35 (mult(a, mult(b, c)) = mult(a, mult(c, b))),
% 5.15/5.35 inference(symmetry,[status(thm)],[8147])).
% 5.15/5.35 tff(8149,plain,
% 5.15/5.35 (mult(mult(a, c), b) = mult(a, mult(c, b))),
% 5.15/5.35 inference(transitivity,[status(thm)],[97, 8148])).
% 5.15/5.35 tff(8150,plain,
% 5.15/5.35 ($false),
% 5.15/5.35 inference(unit_resolution,[status(thm)],[41, 8149])).
% 5.15/5.35 tff(8151,plain,((~(mult(mult(a, b), mult(a, c)) = mult(a, mult(b, mult(a, c))))) | (mult(mult(a, c), b) = mult(a, mult(c, b)))), inference(lemma,lemma(discharge,[]))).
% 5.15/5.35 tff(8152,plain,
% 5.15/5.35 (~(mult(mult(a, b), mult(a, c)) = mult(a, mult(b, mult(a, c))))),
% 5.15/5.35 inference(unit_resolution,[status(thm)],[8151, 41])).
% 5.15/5.35 tff(8153,plain,
% 5.15/5.35 ($false),
% 5.15/5.35 inference(unit_resolution,[status(thm)],[142, 30, 3894, 1161])).
% 5.15/5.35 tff(8154,plain,((~((~(mult(mult(a, mult(a, c)), b) = mult(a, mult(b, mult(a, c))))) | (~(mult(mult(a, b), mult(a, c)) = mult(a, mult(mult(a, c), b)))))) | (mult(mult(a, b), mult(a, c)) = mult(a, mult(b, mult(a, c))))), inference(lemma,lemma(discharge,[]))).
% 5.15/5.35 tff(8155,plain,
% 5.15/5.35 (~((~(mult(mult(a, mult(a, c)), b) = mult(a, mult(b, mult(a, c))))) | (~(mult(mult(a, b), mult(a, c)) = mult(a, mult(mult(a, c), b)))))),
% 5.15/5.35 inference(unit_resolution,[status(thm)],[8154, 8152])).
% 5.15/5.35 tff(8156,plain,
% 5.15/5.35 (mult(mult(a, b), mult(a, c)) = mult(a, mult(mult(a, c), b))),
% 5.15/5.35 inference(unit_resolution,[status(thm)],[138, 8155])).
% 5.15/5.35 tff(8157,plain,
% 5.15/5.35 (~(mult(mult(a, mult(b, c)), a) = mult(a, mult(a, mult(b, c))))),
% 5.15/5.35 inference(unit_resolution,[status(thm)],[176, 8156, 8138, 65, 97])).
% 5.15/5.35 tff(8158,plain,
% 5.15/5.35 ((~(mult(mult(a, a), mult(b, c)) = mult(a, mult(mult(b, c), a)))) | (~(mult(mult(a, mult(b, c)), a) = mult(a, mult(a, mult(b, c)))))),
% 5.15/5.35 inference(unit_resolution,[status(thm)],[95, 8157])).
% 5.15/5.35 tff(8159,plain,
% 5.15/5.35 (~((~(mult(mult(a, a), mult(b, c)) = mult(a, mult(a, mult(b, c))))) | (~(mult(mult(a, mult(b, c)), a) = mult(a, mult(mult(b, c), a)))))),
% 5.15/5.35 inference(unit_resolution,[status(thm)],[504, 8158])).
% 5.15/5.35 tff(8160,plain,
% 5.15/5.35 (mult(mult(a, mult(b, c)), a) = mult(a, mult(mult(b, c), a))),
% 5.15/5.35 inference(unit_resolution,[status(thm)],[506, 8159])).
% 5.15/5.35 tff(8161,plain,
% 5.15/5.35 (mult(a, mult(mult(b, c), a)) = mult(mult(a, mult(b, c)), a)),
% 5.15/5.35 inference(symmetry,[status(thm)],[8160])).
% 5.15/5.35 tff(8162,plain,
% 5.15/5.35 (mult(mult(a, a), mult(b, c)) = mult(a, mult(a, mult(b, c)))),
% 5.15/5.35 inference(unit_resolution,[status(thm)],[2627, 8159])).
% 5.15/5.35 tff(8163,plain,
% 5.15/5.35 ((mult(mult(a, a), mult(b, c)) = mult(a, mult(mult(b, c), a))) <=> (mult(a, mult(a, mult(b, c))) = mult(mult(a, mult(b, c)), a))),
% 5.15/5.35 inference(monotonicity,[status(thm)],[8162, 8161])).
% 5.15/5.35 tff(8164,plain,
% 5.15/5.35 ((mult(mult(a, a), mult(b, c)) = mult(a, mult(mult(b, c), a))) <=> (mult(mult(a, mult(b, c)), a) = mult(a, mult(a, mult(b, c))))),
% 5.15/5.35 inference(transitivity,[status(thm)],[8163, 4717])).
% 5.15/5.35 tff(8165,plain,
% 5.15/5.35 ((mult(mult(a, mult(b, c)), a) = mult(a, mult(a, mult(b, c)))) <=> (mult(mult(a, a), mult(b, c)) = mult(a, mult(mult(b, c), a)))),
% 5.15/5.35 inference(symmetry,[status(thm)],[8164])).
% 5.15/5.35 tff(8166,plain,
% 5.15/5.35 ((~(mult(mult(a, mult(b, c)), a) = mult(a, mult(a, mult(b, c))))) <=> (~(mult(mult(a, a), mult(b, c)) = mult(a, mult(mult(b, c), a))))),
% 5.15/5.35 inference(monotonicity,[status(thm)],[8165])).
% 5.15/5.35 tff(8167,plain,
% 5.15/5.35 (~(mult(mult(a, a), mult(b, c)) = mult(a, mult(mult(b, c), a)))),
% 5.15/5.35 inference(modus_ponens,[status(thm)],[8157, 8166])).
% 5.15/5.35 tff(8168,plain,
% 5.15/5.35 (~(mult(mult(c, a), b) = mult(c, mult(b, a)))),
% 5.15/5.35 inference(unit_resolution,[status(thm)],[2109, 2097])).
% 5.15/5.35 tff(8169,plain,
% 5.15/5.35 (~(mult(mult(mult(a, b), c), a) = mult(mult(a, b), mult(c, a)))),
% 5.15/5.35 inference(unit_resolution,[status(thm)],[719, 8168, 91, 8058])).
% 5.15/5.35 tff(8170,plain,
% 5.15/5.35 ((~(mult(mult(mult(a, b), a), c) = mult(mult(a, b), mult(a, c)))) | (~(mult(mult(mult(a, b), c), a) = mult(mult(a, b), mult(c, a))))),
% 5.15/5.35 inference(unit_resolution,[status(thm)],[185, 8169])).
% 5.15/5.35 tff(8171,plain,
% 5.15/5.35 (~((~(mult(mult(mult(a, b), a), c) = mult(mult(a, b), mult(c, a)))) | (~(mult(mult(mult(a, b), c), a) = mult(mult(a, b), mult(a, c)))))),
% 5.15/5.35 inference(unit_resolution,[status(thm)],[183, 8170])).
% 5.15/5.35 tff(8172,plain,
% 5.15/5.35 (~(mult(mult(a, c), mult(b, a)) = mult(a, mult(c, mult(b, a))))),
% 5.15/5.35 inference(unit_resolution,[status(thm)],[1771, 2100, 41, 8045, 8058])).
% 5.15/5.35 tff(8173,plain,
% 5.15/5.35 ((~(mult(mult(mult(a, b), a), c) = mult(mult(a, b), mult(c, a)))) | (mult(mult(c, a), b) = mult(c, mult(b, a))) | (~(mult(mult(a, b), a) = mult(a, mult(b, a)))) | (mult(mult(a, c), mult(b, a)) = mult(a, mult(c, mult(b, a))))),
% 5.15/5.35 inference(unit_resolution,[status(thm)],[5268, 4679])).
% 5.15/5.35 tff(8174,plain,
% 5.15/5.35 (~(mult(mult(mult(a, b), a), c) = mult(mult(a, b), mult(c, a)))),
% 5.15/5.35 inference(unit_resolution,[status(thm)],[8173, 8172, 4193, 8168])).
% 5.15/5.35 tff(8175,plain,
% 5.15/5.35 ($false),
% 5.15/5.35 inference(unit_resolution,[status(thm)],[1690, 8174, 8171])).
% 5.15/5.35 tff(8176,plain,((mult(mult(c, b), a) = mult(c, mult(a, b))) | (mult(mult(a, c), b) = mult(a, mult(c, b)))), inference(lemma,lemma(discharge,[]))).
% 5.15/5.35 tff(8177,plain,
% 5.15/5.35 (mult(mult(c, b), a) = mult(c, mult(a, b))),
% 5.15/5.35 inference(unit_resolution,[status(thm)],[8176, 41])).
% 5.15/5.35 tff(8178,plain,
% 5.15/5.35 (mult(mult(mult(a, mult(c, b)), a), a) = mult(mult(a, mult(a, mult(c, b))), a)),
% 5.15/5.35 inference(monotonicity,[status(thm)],[89])).
% 5.15/5.35 tff(8179,plain,
% 5.15/5.35 (mult(mult(a, mult(a, mult(c, b))), a) = mult(mult(mult(a, mult(c, b)), a), a)),
% 5.15/5.35 inference(symmetry,[status(thm)],[8178])).
% 5.15/5.35 tff(8180,plain,
% 5.15/5.35 (mult(mult(mult(a, a), mult(c, b)), a) = mult(mult(mult(a, mult(c, b)), a), a)),
% 5.15/5.35 inference(transitivity,[status(thm)],[4757, 4753, 4751, 8179])).
% 5.15/5.35 tff(8181,plain,
% 5.15/5.35 (rd(mult(mult(mult(a, a), mult(c, b)), a), a) = rd(mult(mult(mult(a, mult(c, b)), a), a), a)),
% 5.15/5.35 inference(monotonicity,[status(thm)],[8180])).
% 5.15/5.35 tff(8182,plain,
% 5.15/5.35 (mult(mult(a, a), mult(c, b)) = mult(a, mult(a, mult(c, b)))),
% 5.15/5.35 inference(transitivity,[status(thm)],[4762, 8181, 4721, 89])).
% 5.15/5.35 tff(8183,plain,
% 5.15/5.35 ($false),
% 5.15/5.35 inference(unit_resolution,[status(thm)],[4776, 8182])).
% 5.15/5.35 tff(8184,plain,(mult(mult(a, mult(c, b)), a) = mult(a, mult(mult(c, b), a))), inference(lemma,lemma(discharge,[]))).
% 5.15/5.35 tff(8185,plain,
% 5.15/5.35 (mult(mult(a, a), mult(c, b)) = mult(a, mult(a, mult(c, b)))),
% 5.15/5.35 inference(unit_resolution,[status(thm)],[1580, 8184])).
% 5.15/5.35 tff(8186,plain,
% 5.15/5.35 (mult(a, mult(a, mult(c, b))) = mult(mult(a, a), mult(c, b))),
% 5.15/5.35 inference(symmetry,[status(thm)],[8185])).
% 5.15/5.35 tff(8187,plain,
% 5.15/5.35 (mult(a, mult(mult(a, b), c)) = mult(mult(a, a), mult(c, b))),
% 5.15/5.35 inference(transitivity,[status(thm)],[612, 8186])).
% 5.15/5.35 tff(8188,plain,
% 5.15/5.35 (mult(mult(a, mult(a, b)), c) = mult(mult(mult(a, a), b), c)),
% 5.15/5.35 inference(monotonicity,[status(thm)],[6193])).
% 5.15/5.35 tff(8189,plain,
% 5.15/5.35 ((mult(mult(a, mult(a, b)), c) = mult(a, mult(mult(a, b), c))) <=> (mult(mult(mult(a, a), b), c) = mult(mult(a, a), mult(c, b)))),
% 5.15/5.35 inference(monotonicity,[status(thm)],[8188, 8187])).
% 5.15/5.35 tff(8190,plain,
% 5.15/5.35 ((mult(mult(mult(a, a), b), c) = mult(mult(a, a), mult(c, b))) <=> (mult(mult(a, mult(a, b)), c) = mult(a, mult(mult(a, b), c)))),
% 5.15/5.35 inference(symmetry,[status(thm)],[8189])).
% 5.15/5.35 tff(8191,plain,
% 5.15/5.35 ((~(mult(mult(mult(a, a), b), c) = mult(mult(a, a), mult(c, b)))) <=> (~(mult(mult(a, mult(a, b)), c) = mult(a, mult(mult(a, b), c))))),
% 5.15/5.35 inference(monotonicity,[status(thm)],[8190])).
% 5.15/5.35 tff(8192,plain,
% 5.15/5.35 (mult(mult(mult(a, c), mult(b, a)), b) = mult(mult(a, c), mult(mult(b, a), b))),
% 5.15/5.35 inference(unit_resolution,[status(thm)],[3557, 8045])).
% 5.15/5.35 tff(8193,plain,
% 5.15/5.35 (mult(mult(mult(a, a), b), c) = mult(mult(a, mult(a, b)), c)),
% 5.15/5.35 inference(symmetry,[status(thm)],[8188])).
% 5.15/5.35 tff(8194,plain,
% 5.15/5.35 (mult(mult(a, c), mult(a, b)) = mult(mult(a, mult(a, b)), c)),
% 5.15/5.35 inference(transitivity,[status(thm)],[5110, 258, 8186, 1897, 8193])).
% 5.15/5.35 tff(8195,plain,
% 5.15/5.35 ((mult(mult(a, c), mult(a, b)) = mult(a, mult(c, mult(a, b)))) <=> (mult(mult(a, mult(a, b)), c) = mult(a, mult(c, mult(a, b))))),
% 5.15/5.35 inference(monotonicity,[status(thm)],[8194])).
% 5.15/5.35 tff(8196,plain,
% 5.15/5.35 ((mult(mult(a, mult(a, b)), c) = mult(a, mult(c, mult(a, b)))) <=> (mult(mult(a, c), mult(a, b)) = mult(a, mult(c, mult(a, b))))),
% 5.15/5.35 inference(symmetry,[status(thm)],[8195])).
% 5.15/5.35 tff(8197,plain,
% 5.15/5.35 (mult(mult(a, c), mult(a, b)) = mult(a, mult(c, mult(a, b)))),
% 5.15/5.35 inference(modus_ponens,[status(thm)],[5117, 8196])).
% 5.15/5.35 tff(8198,plain,
% 5.15/5.35 ($false),
% 5.15/5.35 inference(unit_resolution,[status(thm)],[5107, 8197])).
% 5.15/5.35 tff(8199,plain,((mult(mult(a, c), mult(a, b)) = mult(a, mult(c, mult(a, b)))) | (~(mult(mult(mult(a, a), b), c) = mult(mult(a, a), mult(c, b)))) | (~(mult(mult(a, b), c) = mult(a, mult(c, b))))), inference(lemma,lemma(discharge,[]))).
% 5.15/5.35 tff(8200,plain,
% 5.15/5.35 (mult(mult(a, c), mult(a, b)) = mult(a, mult(c, mult(a, b)))),
% 5.15/5.35 inference(unit_resolution,[status(thm)],[8199, 447, 91])).
% 5.15/5.35 tff(8201,plain,
% 5.15/5.35 (~(mult(mult(mult(a, c), b), a) = mult(mult(a, c), mult(a, b)))),
% 5.15/5.35 inference(unit_resolution,[status(thm)],[8035, 8200, 41, 8184, 8177])).
% 5.15/5.35 tff(8202,plain,
% 5.15/5.35 (~(mult(mult(mult(a, c), a), b) = mult(mult(a, c), mult(b, a)))),
% 5.15/5.35 inference(unit_resolution,[status(thm)],[3589, 8201, 8192])).
% 5.15/5.35 tff(8203,plain,
% 5.15/5.35 ((~(mult(mult(mult(a, c), a), b) = mult(mult(a, c), mult(b, a)))) | (~(mult(mult(mult(a, c), b), a) = mult(mult(a, c), mult(a, b))))),
% 5.15/5.35 inference(unit_resolution,[status(thm)],[591, 8201])).
% 5.15/5.35 tff(8204,plain,
% 5.15/5.35 (~((~(mult(mult(mult(a, c), a), b) = mult(mult(a, c), mult(a, b)))) | (~(mult(mult(mult(a, c), b), a) = mult(mult(a, c), mult(b, a)))))),
% 5.15/5.35 inference(unit_resolution,[status(thm)],[589, 8203])).
% 5.19/5.35 tff(8205,plain,
% 5.19/5.35 (mult(mult(mult(a, c), a), b) = mult(mult(a, c), mult(a, b))),
% 5.19/5.35 inference(unit_resolution,[status(thm)],[1238, 8204])).
% 5.19/5.35 tff(8206,plain,
% 5.19/5.35 (mult(a, mult(mult(c, b), a)) = mult(mult(a, mult(c, b)), a)),
% 5.19/5.35 inference(symmetry,[status(thm)],[8184])).
% 5.19/5.35 tff(8207,plain,
% 5.19/5.35 (mult(a, mult(mult(c, b), a)) = mult(a, mult(mult(a, c), b))),
% 5.19/5.35 inference(transitivity,[status(thm)],[8206, 260, 168, 167])).
% 5.19/5.35 tff(8208,plain,
% 5.19/5.35 (ld(a, mult(a, mult(mult(c, b), a))) = ld(a, mult(a, mult(mult(a, c), b)))),
% 5.19/5.35 inference(monotonicity,[status(thm)],[8207])).
% 5.19/5.35 tff(8209,plain,
% 5.19/5.35 (mult(c, mult(a, b)) = mult(mult(a, c), b)),
% 5.19/5.35 inference(transitivity,[status(thm)],[1111, 713, 8208, 2212])).
% 5.19/5.35 tff(8210,plain,
% 5.19/5.35 (mult(a, mult(c, mult(a, b))) = mult(a, mult(mult(a, c), b))),
% 5.19/5.35 inference(monotonicity,[status(thm)],[8209])).
% 5.19/5.35 tff(8211,plain,
% 5.19/5.35 (mult(b, mult(a, mult(c, a))) = mult(b, mult(mult(a, c), a))),
% 5.19/5.35 inference(transitivity,[status(thm)],[4680, 3532, 862])).
% 5.19/5.35 tff(8212,plain,
% 5.19/5.35 (ld(b, mult(b, mult(a, mult(c, a)))) = ld(b, mult(b, mult(mult(a, c), a)))),
% 5.19/5.35 inference(monotonicity,[status(thm)],[8211])).
% 5.19/5.35 tff(8213,plain,
% 5.19/5.35 (mult(a, mult(c, a)) = mult(mult(a, c), a)),
% 5.19/5.35 inference(transitivity,[status(thm)],[3780, 8212, 3447])).
% 5.19/5.35 tff(8214,plain,
% 5.19/5.35 (mult(mult(a, mult(c, a)), b) = mult(mult(mult(a, c), a), b)),
% 5.19/5.35 inference(monotonicity,[status(thm)],[8213])).
% 5.19/5.35 tff(8215,plain,
% 5.19/5.35 (mult(mult(a, mult(c, a)), b) = mult(mult(mult(a, b), c), a)),
% 5.19/5.35 inference(transitivity,[status(thm)],[8214, 3766, 988, 8210, 811, 403])).
% 5.19/5.35 tff(8216,plain,
% 5.19/5.35 ((mult(mult(a, mult(c, a)), b) = mult(a, mult(b, mult(c, a)))) <=> (mult(mult(mult(a, b), c), a) = mult(a, mult(b, mult(c, a))))),
% 5.19/5.35 inference(monotonicity,[status(thm)],[8215])).
% 5.19/5.35 tff(8217,plain,
% 5.19/5.35 ((mult(mult(a, mult(c, a)), b) = mult(a, mult(b, mult(c, a)))) <=> (mult(a, mult(b, mult(c, a))) = mult(mult(mult(a, b), c), a))),
% 5.19/5.35 inference(transitivity,[status(thm)],[8216, 15])).
% 5.19/5.35 tff(8218,plain,
% 5.19/5.35 ((mult(a, mult(b, mult(c, a))) = mult(mult(mult(a, b), c), a)) <=> (mult(mult(a, mult(c, a)), b) = mult(a, mult(b, mult(c, a))))),
% 5.19/5.35 inference(symmetry,[status(thm)],[8217])).
% 5.19/5.35 tff(8219,plain,
% 5.19/5.35 ((~(mult(a, mult(b, mult(c, a))) = mult(mult(mult(a, b), c), a))) <=> (~(mult(mult(a, mult(c, a)), b) = mult(a, mult(b, mult(c, a)))))),
% 5.19/5.35 inference(monotonicity,[status(thm)],[8218])).
% 5.19/5.35 tff(8220,plain,
% 5.19/5.35 (~(mult(mult(a, mult(c, a)), b) = mult(a, mult(b, mult(c, a))))),
% 5.19/5.35 inference(modus_ponens,[status(thm)],[194, 8219])).
% 5.19/5.35 tff(8221,plain,
% 5.19/5.35 ($false),
% 5.19/5.35 inference(unit_resolution,[status(thm)],[1736, 8220])).
% 5.19/5.35 tff(8222,plain,((~(mult(mult(a, mult(c, a)), b) = mult(a, mult(b, mult(c, a))))) | (~(mult(mult(mult(a, b), c), a) = mult(mult(a, b), mult(a, c)))) | (~(mult(mult(a, b), mult(a, c)) = mult(a, mult(mult(a, c), b)))) | (~(mult(mult(mult(a, c), a), b) = mult(mult(a, c), mult(a, b)))) | (~(mult(mult(a, c), mult(a, b)) = mult(a, mult(c, mult(a, b))))) | (~(mult(mult(c, b), a) = mult(c, mult(a, b)))) | (~(mult(mult(a, b), c) = mult(a, mult(c, b))))), inference(lemma,lemma(discharge,[]))).
% 5.19/5.35 tff(8223,plain,
% 5.19/5.35 (~(mult(mult(a, mult(c, a)), b) = mult(a, mult(b, mult(c, a))))),
% 5.19/5.35 inference(unit_resolution,[status(thm)],[8222, 8205, 8156, 8138, 8200, 8177, 91])).
% 5.19/5.35 tff(8224,plain,
% 5.19/5.35 (~(mult(mult(c, a), b) = mult(c, mult(b, a)))),
% 5.19/5.35 inference(unit_resolution,[status(thm)],[4702, 8223, 8202])).
% 5.19/5.35 tff(8225,plain,
% 5.19/5.35 ((~(mult(mult(c, b), a) = mult(c, mult(a, b)))) | (~(mult(mult(c, a), b) = mult(c, mult(b, a))))),
% 5.19/5.35 inference(unit_resolution,[status(thm)],[303, 8224])).
% 5.19/5.35 tff(8226,plain,
% 5.19/5.35 (~((~(mult(mult(c, b), a) = mult(c, mult(b, a)))) | (~(mult(mult(c, a), b) = mult(c, mult(a, b)))))),
% 5.19/5.35 inference(unit_resolution,[status(thm)],[301, 8225])).
% 5.19/5.35 tff(8227,plain,
% 5.19/5.35 ((~(mult(mult(mult(a, b), a), c) = mult(mult(a, b), mult(c, a)))) | (~(mult(mult(mult(a, b), c), a) = mult(mult(a, b), mult(a, c))))),
% 5.19/5.35 inference(unit_resolution,[status(thm)],[1690, 4974])).
% 5.19/5.35 tff(8228,plain,
% 5.19/5.35 (~((~(mult(mult(mult(a, b), a), c) = mult(mult(a, b), mult(a, c)))) | (~(mult(mult(mult(a, b), c), a) = mult(mult(a, b), mult(c, a)))))),
% 5.19/5.35 inference(unit_resolution,[status(thm)],[183, 8227])).
% 5.19/5.35 tff(8229,plain,
% 5.19/5.35 (mult(mult(mult(a, b), c), a) = mult(mult(a, b), mult(c, a))),
% 5.19/5.35 inference(unit_resolution,[status(thm)],[185, 8228])).
% 5.19/5.35 tff(8230,plain,
% 5.19/5.35 (mult(mult(a, b), mult(c, a)) = mult(mult(mult(a, b), c), a)),
% 5.19/5.35 inference(symmetry,[status(thm)],[8229])).
% 5.19/5.35 tff(8231,plain,
% 5.19/5.35 (mult(mult(mult(a, b), a), c) = mult(mult(a, b), mult(a, c))),
% 5.19/5.35 inference(unit_resolution,[status(thm)],[211, 8228])).
% 5.19/5.35 tff(8232,plain,
% 5.19/5.35 ((mult(mult(mult(a, b), a), c) = mult(mult(a, b), mult(c, a))) <=> (mult(mult(a, b), mult(a, c)) = mult(mult(mult(a, b), c), a))),
% 5.19/5.35 inference(monotonicity,[status(thm)],[8231, 8230])).
% 5.19/5.35 tff(8233,plain,
% 5.19/5.35 ((mult(mult(mult(a, b), a), c) = mult(mult(a, b), mult(c, a))) <=> (mult(mult(mult(a, b), c), a) = mult(mult(a, b), mult(a, c)))),
% 5.19/5.35 inference(transitivity,[status(thm)],[8232, 2325])).
% 5.19/5.35 tff(8234,plain,
% 5.19/5.35 ((~(mult(mult(mult(a, b), a), c) = mult(mult(a, b), mult(c, a)))) <=> (~(mult(mult(mult(a, b), c), a) = mult(mult(a, b), mult(a, c))))),
% 5.19/5.35 inference(monotonicity,[status(thm)],[8233])).
% 5.19/5.35 tff(8235,plain,
% 5.19/5.35 (~(mult(mult(mult(a, b), c), a) = mult(mult(a, b), mult(a, c)))),
% 5.19/5.35 inference(modus_ponens,[status(thm)],[4974, 8234])).
% 5.19/5.35 tff(8236,plain,
% 5.19/5.35 ((mult(mult(a, b), mult(c, a)) = mult(a, mult(b, mult(c, a)))) <=> (mult(mult(mult(a, b), c), a) = mult(a, mult(b, mult(c, a))))),
% 5.19/5.35 inference(monotonicity,[status(thm)],[8230])).
% 5.19/5.35 tff(8237,plain,
% 5.19/5.35 ((mult(mult(a, b), mult(c, a)) = mult(a, mult(b, mult(c, a)))) <=> (mult(a, mult(b, mult(c, a))) = mult(mult(mult(a, b), c), a))),
% 5.19/5.35 inference(transitivity,[status(thm)],[8236, 15])).
% 5.19/5.35 tff(8238,plain,
% 5.19/5.35 ((mult(a, mult(b, mult(c, a))) = mult(mult(mult(a, b), c), a)) <=> (mult(mult(a, b), mult(c, a)) = mult(a, mult(b, mult(c, a))))),
% 5.19/5.35 inference(symmetry,[status(thm)],[8237])).
% 5.19/5.35 tff(8239,plain,
% 5.19/5.35 ((~(mult(a, mult(b, mult(c, a))) = mult(mult(mult(a, b), c), a))) <=> (~(mult(mult(a, b), mult(c, a)) = mult(a, mult(b, mult(c, a)))))),
% 5.19/5.35 inference(monotonicity,[status(thm)],[8238])).
% 5.19/5.35 tff(8240,plain,
% 5.19/5.35 (~(mult(mult(a, b), mult(c, a)) = mult(a, mult(b, mult(c, a))))),
% 5.19/5.35 inference(modus_ponens,[status(thm)],[194, 8239])).
% 5.19/5.35 tff(8241,plain,
% 5.19/5.35 ((~(mult(mult(a, b), mult(c, a)) = mult(a, mult(b, mult(c, a))))) | (~(mult(mult(a, mult(c, a)), b) = mult(a, mult(mult(c, a), b))))),
% 5.19/5.35 inference(unit_resolution,[status(thm)],[196, 8240])).
% 5.19/5.35 tff(8242,plain,
% 5.19/5.35 (~((~(mult(mult(a, b), mult(c, a)) = mult(a, mult(mult(c, a), b)))) | (~(mult(mult(a, mult(c, a)), b) = mult(a, mult(b, mult(c, a))))))),
% 5.19/5.35 inference(unit_resolution,[status(thm)],[201, 8241])).
% 5.19/5.35 tff(8243,plain,
% 5.19/5.35 (mult(mult(a, mult(c, a)), b) = mult(a, mult(b, mult(c, a)))),
% 5.19/5.35 inference(unit_resolution,[status(thm)],[735, 8242])).
% 5.19/5.35 tff(8244,plain,
% 5.19/5.35 (~(mult(mult(a, c), mult(a, b)) = mult(a, mult(mult(a, b), c)))),
% 5.19/5.35 inference(unit_resolution,[status(thm)],[4694, 8243, 4686, 1226])).
% 5.19/5.35 tff(8245,plain,
% 5.19/5.35 ((~(mult(mult(a, mult(a, b)), c) = mult(a, mult(c, mult(a, b))))) | (~(mult(mult(a, c), mult(a, b)) = mult(a, mult(mult(a, b), c))))),
% 5.19/5.35 inference(unit_resolution,[status(thm)],[601, 8244])).
% 5.19/5.35 tff(8246,plain,
% 5.19/5.35 (~((~(mult(mult(a, mult(a, b)), c) = mult(a, mult(mult(a, b), c)))) | (~(mult(mult(a, c), mult(a, b)) = mult(a, mult(c, mult(a, b))))))),
% 5.19/5.35 inference(unit_resolution,[status(thm)],[292, 8245])).
% 5.19/5.35 tff(8247,plain,
% 5.19/5.35 (mult(mult(a, mult(a, b)), c) = mult(a, mult(mult(a, b), c))),
% 5.19/5.35 inference(unit_resolution,[status(thm)],[266, 8246])).
% 5.19/5.35 tff(8248,plain,
% 5.19/5.35 (mult(mult(a, mult(c, a)), b) = mult(a, mult(b, mult(c, a)))),
% 5.19/5.35 inference(unit_resolution,[status(thm)],[735, 678])).
% 5.19/5.35 tff(8249,plain,
% 5.19/5.35 (mult(mult(a, c), mult(a, b)) = mult(mult(mult(a, c), a), b)),
% 5.19/5.35 inference(symmetry,[status(thm)],[3766])).
% 5.19/5.35 tff(8250,plain,
% 5.19/5.35 (~(mult(mult(a, mult(a, b)), c) = mult(a, mult(c, mult(a, b))))),
% 5.19/5.35 inference(unit_resolution,[status(thm)],[285, 248, 250, 268])).
% 5.19/5.35 tff(8251,plain,
% 5.19/5.35 ((~(mult(mult(a, mult(a, b)), c) = mult(a, mult(c, mult(a, b))))) | (~(mult(mult(a, c), mult(a, b)) = mult(a, mult(mult(a, b), c))))),
% 5.19/5.36 inference(unit_resolution,[status(thm)],[287, 8250])).
% 5.19/5.36 tff(8252,plain,
% 5.19/5.36 (~((~(mult(mult(a, mult(a, b)), c) = mult(a, mult(mult(a, b), c)))) | (~(mult(mult(a, c), mult(a, b)) = mult(a, mult(c, mult(a, b))))))),
% 5.19/5.36 inference(unit_resolution,[status(thm)],[292, 8251])).
% 5.19/5.36 tff(8253,plain,
% 5.19/5.36 (mult(mult(a, c), mult(a, b)) = mult(a, mult(c, mult(a, b)))),
% 5.19/5.36 inference(unit_resolution,[status(thm)],[604, 8252])).
% 5.19/5.36 tff(8254,plain,
% 5.19/5.36 (mult(a, mult(c, mult(a, b))) = mult(mult(a, c), mult(a, b))),
% 5.19/5.36 inference(symmetry,[status(thm)],[8253])).
% 5.19/5.36 tff(8255,plain,
% 5.19/5.36 (mult(a, mult(mult(c, a), b)) = mult(a, mult(b, mult(c, a)))),
% 5.19/5.36 inference(transitivity,[status(thm)],[2024, 8254, 8249, 3702, 1736])).
% 5.19/5.36 tff(8256,plain,
% 5.19/5.36 ((mult(mult(a, b), mult(c, a)) = mult(a, mult(mult(c, a), b))) <=> (mult(mult(mult(a, b), c), a) = mult(a, mult(b, mult(c, a))))),
% 5.19/5.36 inference(monotonicity,[status(thm)],[1873, 8255])).
% 5.19/5.36 tff(8257,plain,
% 5.19/5.36 ((mult(mult(a, b), mult(c, a)) = mult(a, mult(mult(c, a), b))) <=> (mult(a, mult(b, mult(c, a))) = mult(mult(mult(a, b), c), a))),
% 5.19/5.36 inference(transitivity,[status(thm)],[8256, 15])).
% 5.19/5.36 tff(8258,plain,
% 5.19/5.36 ((mult(a, mult(b, mult(c, a))) = mult(mult(mult(a, b), c), a)) <=> (mult(mult(a, b), mult(c, a)) = mult(a, mult(mult(c, a), b)))),
% 5.19/5.36 inference(symmetry,[status(thm)],[8257])).
% 5.19/5.36 tff(8259,plain,
% 5.19/5.36 ((~(mult(a, mult(b, mult(c, a))) = mult(mult(mult(a, b), c), a))) <=> (~(mult(mult(a, b), mult(c, a)) = mult(a, mult(mult(c, a), b))))),
% 5.19/5.36 inference(monotonicity,[status(thm)],[8258])).
% 5.19/5.36 tff(8260,plain,
% 5.19/5.36 (~(mult(mult(a, b), mult(c, a)) = mult(a, mult(mult(c, a), b)))),
% 5.19/5.36 inference(modus_ponens,[status(thm)],[194, 8259])).
% 5.19/5.36 tff(8261,plain,
% 5.19/5.36 ($false),
% 5.19/5.36 inference(unit_resolution,[status(thm)],[4933, 8260])).
% 5.19/5.36 tff(8262,plain,((mult(mult(mult(a, b), c), a) = mult(mult(a, b), mult(a, c))) | (~(mult(mult(a, mult(c, a)), b) = mult(a, mult(b, mult(c, a))))) | (~(mult(mult(mult(a, c), a), b) = mult(mult(a, c), mult(a, b)))) | (~(mult(mult(b, mult(c, a)), a) = mult(b, mult(a, mult(c, a))))) | (~(mult(mult(b, a), c) = mult(b, mult(c, a)))) | (~(mult(mult(c, a), b) = mult(c, mult(a, b)))) | (~(mult(mult(a, b), a) = mult(a, mult(a, b))))), inference(lemma,lemma(discharge,[]))).
% 5.19/5.36 tff(8263,plain,
% 5.19/5.36 ((mult(mult(mult(a, b), c), a) = mult(mult(a, b), mult(a, c))) | (~(mult(mult(a, mult(c, a)), b) = mult(a, mult(b, mult(c, a))))) | (~(mult(mult(mult(a, c), a), b) = mult(mult(a, c), mult(a, b)))) | (~(mult(mult(b, mult(c, a)), a) = mult(b, mult(a, mult(c, a))))) | (~(mult(mult(c, a), b) = mult(c, mult(a, b)))) | (~(mult(mult(a, b), a) = mult(a, mult(a, b))))),
% 5.19/5.36 inference(unit_resolution,[status(thm)],[8262, 3427])).
% 5.19/5.36 tff(8264,plain,
% 5.19/5.36 ((mult(mult(mult(a, b), c), a) = mult(mult(a, b), mult(a, c))) | (~(mult(mult(a, mult(c, a)), b) = mult(a, mult(b, mult(c, a))))) | (~(mult(mult(mult(a, c), a), b) = mult(mult(a, c), mult(a, b)))) | (~(mult(mult(c, a), b) = mult(c, mult(a, b)))) | (~(mult(mult(a, b), a) = mult(a, mult(a, b))))),
% 5.19/5.36 inference(unit_resolution,[status(thm)],[8263, 4679])).
% 5.19/5.36 tff(8265,plain,
% 5.19/5.36 (~(mult(mult(c, a), b) = mult(c, mult(a, b)))),
% 5.19/5.36 inference(unit_resolution,[status(thm)],[8264, 250, 3766, 248, 8248])).
% 5.19/5.36 tff(8266,plain,
% 5.19/5.36 (~(mult(mult(a, mult(c, b)), a) = mult(a, mult(mult(c, b), a)))),
% 5.19/5.36 inference(unit_resolution,[status(thm)],[1598, 8265, 106, 370])).
% 5.19/5.36 tff(8267,plain,
% 5.19/5.36 (~(mult(mult(a, mult(c, b)), a) = mult(a, mult(a, mult(c, b))))),
% 5.19/5.36 inference(unit_resolution,[status(thm)],[264, 250, 248, 106, 256])).
% 5.19/5.36 tff(8268,plain,
% 5.19/5.36 ((~(mult(mult(a, a), mult(c, b)) = mult(a, mult(mult(c, b), a)))) | (~(mult(mult(a, mult(c, b)), a) = mult(a, mult(a, mult(c, b)))))),
% 5.19/5.36 inference(unit_resolution,[status(thm)],[88, 8267])).
% 5.19/5.36 tff(8269,plain,
% 5.19/5.36 ($false),
% 5.19/5.36 inference(unit_resolution,[status(thm)],[86, 8268, 8266])).
% 5.19/5.36 tff(8270,plain,((~(mult(mult(a, b), a) = mult(a, mult(a, b)))) | (~(mult(mult(a, b), c) = mult(a, mult(c, b)))) | (~(mult(mult(mult(a, b), c), a) = mult(mult(a, b), mult(c, a)))) | (mult(mult(mult(a, b), c), a) = mult(mult(a, b), mult(a, c))) | (~(mult(mult(a, mult(a, b)), c) = mult(a, mult(mult(a, b), c)))) | (~(mult(mult(mult(a, c), a), b) = mult(mult(a, c), mult(a, b))))), inference(lemma,lemma(discharge,[]))).
% 5.19/5.36 tff(8271,plain,
% 5.19/5.36 (~(mult(mult(a, b), a) = mult(a, mult(a, b)))),
% 5.19/5.36 inference(unit_resolution,[status(thm)],[8270, 8229, 106, 8235, 8247, 2236])).
% 5.19/5.36 tff(8272,plain,
% 5.19/5.36 ((~(mult(mult(a, a), b) = mult(a, mult(b, a)))) | (~(mult(mult(a, b), a) = mult(a, mult(a, b))))),
% 5.19/5.36 inference(unit_resolution,[status(thm)],[246, 8271])).
% 5.19/5.36 tff(8273,plain,
% 5.19/5.36 (~((~(mult(mult(a, a), b) = mult(a, mult(a, b)))) | (~(mult(mult(a, b), a) = mult(a, mult(b, a)))))),
% 5.19/5.36 inference(unit_resolution,[status(thm)],[244, 8272])).
% 5.19/5.36 tff(8274,plain,
% 5.19/5.36 (mult(mult(a, b), a) = mult(a, mult(b, a))),
% 5.19/5.36 inference(unit_resolution,[status(thm)],[232, 8273])).
% 5.19/5.36 tff(8275,plain,
% 5.19/5.36 (~(mult(mult(a, mult(b, a)), c) = mult(a, mult(c, mult(b, a))))),
% 5.19/5.36 inference(unit_resolution,[status(thm)],[8131, 8274, 41, 8235, 106])).
% 5.19/5.36 tff(8276,plain,
% 5.19/5.36 ((~(mult(mult(a, c), mult(b, a)) = mult(a, mult(mult(b, a), c)))) | (~(mult(mult(a, mult(b, a)), c) = mult(a, mult(c, mult(b, a)))))),
% 5.19/5.36 inference(unit_resolution,[status(thm)],[217, 8275])).
% 5.19/5.36 tff(8277,plain,
% 5.19/5.36 (~((~(mult(mult(a, c), mult(b, a)) = mult(a, mult(c, mult(b, a))))) | (~(mult(mult(a, mult(b, a)), c) = mult(a, mult(mult(b, a), c)))))),
% 5.19/5.36 inference(unit_resolution,[status(thm)],[132, 8276])).
% 5.19/5.36 tff(8278,plain,
% 5.19/5.36 (mult(mult(a, c), mult(b, a)) = mult(a, mult(c, mult(b, a)))),
% 5.19/5.36 inference(unit_resolution,[status(thm)],[120, 8277])).
% 5.19/5.36 tff(8279,plain,
% 5.19/5.36 (~(mult(mult(c, a), b) = mult(c, mult(b, a)))),
% 5.19/5.36 inference(unit_resolution,[status(thm)],[2737, 8278, 4685, 41, 8229, 106])).
% 5.19/5.36 tff(8280,plain,
% 5.19/5.36 ((~(mult(mult(c, b), a) = mult(c, mult(a, b)))) | (~(mult(mult(c, a), b) = mult(c, mult(b, a))))),
% 5.19/5.36 inference(unit_resolution,[status(thm)],[303, 8279])).
% 5.19/5.36 tff(8281,plain,
% 5.19/5.36 (~((~(mult(mult(c, b), a) = mult(c, mult(b, a)))) | (~(mult(mult(c, a), b) = mult(c, mult(a, b)))))),
% 5.19/5.36 inference(unit_resolution,[status(thm)],[301, 8280])).
% 5.19/5.36 tff(8282,plain,
% 5.19/5.36 (mult(mult(a, b), mult(c, a)) = mult(a, mult(mult(c, a), b))),
% 5.19/5.36 inference(unit_resolution,[status(thm)],[203, 8242])).
% 5.19/5.36 tff(8283,plain,
% 5.19/5.36 (~(mult(mult(a, mult(c, b)), a) = mult(a, mult(mult(c, b), a)))),
% 5.19/5.36 inference(unit_resolution,[status(thm)],[719, 8279, 106, 8229])).
% 5.19/5.36 tff(8284,plain,
% 5.19/5.36 ((~(mult(mult(mult(a, a), b), c) = mult(mult(a, a), mult(c, b)))) | (mult(mult(a, mult(c, b)), a) = mult(a, mult(mult(c, b), a))) | (~(mult(mult(a, b), c) = mult(a, mult(c, b)))) | (~(mult(mult(a, b), mult(c, a)) = mult(a, mult(mult(c, a), b)))) | (~(mult(mult(mult(a, b), c), a) = mult(mult(a, b), mult(c, a)))) | (~(mult(mult(c, a), b) = mult(c, mult(a, b))))),
% 5.19/5.36 inference(unit_resolution,[status(thm)],[467, 4190])).
% 5.19/5.36 tff(8285,plain,
% 5.19/5.36 (~(mult(mult(c, a), b) = mult(c, mult(a, b)))),
% 5.19/5.36 inference(unit_resolution,[status(thm)],[8284, 8283, 106, 8229, 8282, 447])).
% 5.19/5.36 tff(8286,plain,
% 5.19/5.36 ($false),
% 5.19/5.36 inference(unit_resolution,[status(thm)],[296, 8285, 8281])).
% 5.19/5.36 tff(8287,plain,((mult(mult(mult(a, b), a), c) = mult(mult(a, b), mult(c, a))) | (~(mult(mult(a, b), c) = mult(a, mult(c, b)))) | (~(mult(mult(mult(a, a), b), c) = mult(mult(a, a), mult(c, b)))) | (mult(mult(a, c), b) = mult(a, mult(c, b))) | (mult(mult(mult(a, c), b), a) = mult(mult(a, c), mult(a, b)))), inference(lemma,lemma(discharge,[]))).
% 5.19/5.36 tff(8288,plain,
% 5.19/5.36 (mult(mult(mult(a, b), a), c) = mult(mult(a, b), mult(c, a))),
% 5.19/5.36 inference(unit_resolution,[status(thm)],[8287, 8201, 41, 91, 447])).
% 5.19/5.36 tff(8289,plain,
% 5.19/5.36 ((~(mult(mult(mult(a, b), a), c) = mult(mult(a, b), mult(c, a)))) | (mult(mult(c, a), b) = mult(c, mult(b, a))) | (mult(mult(a, c), mult(b, a)) = mult(a, mult(c, mult(b, a))))),
% 5.19/5.36 inference(unit_resolution,[status(thm)],[8173, 4193])).
% 5.19/5.36 tff(8290,plain,
% 5.19/5.36 (mult(mult(a, c), mult(b, a)) = mult(a, mult(c, mult(b, a)))),
% 5.19/5.36 inference(unit_resolution,[status(thm)],[8289, 8224, 8288])).
% 5.19/5.36 tff(8291,plain,
% 5.19/5.36 (~(mult(mult(c, b), a) = mult(c, mult(b, a)))),
% 5.19/5.36 inference(unit_resolution,[status(thm)],[1771, 8290, 41, 8045, 8184])).
% 5.19/5.36 tff(8292,plain,
% 5.19/5.36 ($false),
% 5.19/5.36 inference(unit_resolution,[status(thm)],[543, 8291, 8226])).
% 5.19/5.36 tff(8293,plain,((~(mult(mult(mult(a, a), b), c) = mult(mult(a, a), mult(c, b)))) | (mult(mult(a, c), b) = mult(a, mult(c, b)))), inference(lemma,lemma(discharge,[]))).
% 5.19/5.36 tff(8294,plain,
% 5.19/5.36 (~(mult(mult(mult(a, a), b), c) = mult(mult(a, a), mult(c, b)))),
% 5.19/5.36 inference(unit_resolution,[status(thm)],[8293, 41])).
% 5.19/5.36 tff(8295,plain,
% 5.19/5.36 (~(mult(mult(a, mult(a, b)), c) = mult(a, mult(mult(a, b), c)))),
% 5.19/5.36 inference(modus_ponens,[status(thm)],[8294, 8191])).
% 5.19/5.36 tff(8296,plain,
% 5.19/5.36 (mult(mult(mult(a, c), b), a) = mult(mult(a, c), mult(a, b))),
% 5.19/5.36 inference(unit_resolution,[status(thm)],[4713, 8295])).
% 5.19/5.36 tff(8297,plain,
% 5.19/5.36 (mult(mult(a, c), mult(a, b)) = mult(a, mult(mult(a, b), c))),
% 5.19/5.36 inference(unit_resolution,[status(thm)],[1325, 8296, 97, 8156, 8184, 8138, 8177, 8162, 91, 8160, 8167])).
% 5.19/5.36 tff(8298,plain,
% 5.19/5.36 (mult(a, mult(mult(b, c), a)) = mult(a, mult(a, mult(c, b)))),
% 5.19/5.36 inference(transitivity,[status(thm)],[8161, 607, 8296, 8297, 612])).
% 5.19/5.36 tff(8299,plain,
% 5.19/5.36 (ld(a, mult(a, mult(mult(b, c), a))) = ld(a, mult(a, mult(a, mult(c, b))))),
% 5.19/5.36 inference(monotonicity,[status(thm)],[8298])).
% 5.19/5.36 tff(8300,plain,
% 5.19/5.36 (ld(a, mult(a, mult(a, mult(c, b)))) = ld(a, mult(a, mult(mult(b, c), a)))),
% 5.19/5.36 inference(symmetry,[status(thm)],[8299])).
% 5.19/5.36 tff(8301,plain,
% 5.19/5.36 (mult(mult(a, c), mult(mult(b, a), b)) = mult(mult(mult(a, c), mult(b, a)), b)),
% 5.19/5.36 inference(symmetry,[status(thm)],[8192])).
% 5.19/5.36 tff(8302,plain,
% 5.19/5.36 (mult(mult(mult(mult(a, c), b), a), b) = mult(mult(mult(a, c), mult(b, a)), b)),
% 5.19/5.36 inference(transitivity,[status(thm)],[3551, 8301])).
% 5.19/5.36 tff(8303,plain,
% 5.19/5.36 (rd(mult(mult(mult(mult(a, c), b), a), b), b) = rd(mult(mult(mult(a, c), mult(b, a)), b), b)),
% 5.19/5.36 inference(monotonicity,[status(thm)],[8302])).
% 5.19/5.36 tff(8304,plain,
% 5.19/5.36 (mult(mult(a, c), mult(a, b)) = mult(mult(mult(a, c), b), a)),
% 5.19/5.36 inference(symmetry,[status(thm)],[8296])).
% 5.19/5.36 tff(8305,plain,
% 5.19/5.36 (mult(mult(a, c), mult(a, b)) = mult(mult(a, c), mult(b, a))),
% 5.19/5.36 inference(transitivity,[status(thm)],[8304, 3564, 8303, 3547])).
% 5.19/5.36 tff(8306,plain,
% 5.19/5.36 (ld(mult(a, c), mult(mult(a, c), mult(a, b))) = ld(mult(a, c), mult(mult(a, c), mult(b, a)))),
% 5.19/5.36 inference(monotonicity,[status(thm)],[8305])).
% 5.19/5.36 tff(8307,plain,
% 5.19/5.36 (ld(mult(a, c), mult(mult(a, c), mult(b, a))) = ld(mult(a, c), mult(mult(a, c), mult(a, b)))),
% 5.19/5.36 inference(symmetry,[status(thm)],[8306])).
% 5.19/5.36 tff(8308,plain,
% 5.19/5.36 (mult(b, a) = mult(a, b)),
% 5.19/5.36 inference(transitivity,[status(thm)],[3339, 8307, 2368])).
% 5.19/5.36 tff(8309,plain,
% 5.19/5.36 (mult(mult(b, a), c) = mult(mult(a, b), c)),
% 5.19/5.36 inference(monotonicity,[status(thm)],[8308])).
% 5.19/5.36 tff(8310,plain,
% 5.19/5.36 (mult(b, mult(c, a)) = mult(b, mult(a, c))),
% 5.19/5.36 inference(transitivity,[status(thm)],[3531, 8309, 91, 803, 8300, 4716, 3433])).
% 5.19/5.36 tff(8311,plain,
% 5.19/5.36 (ld(b, mult(b, mult(c, a))) = ld(b, mult(b, mult(a, c)))),
% 5.19/5.36 inference(monotonicity,[status(thm)],[8310])).
% 5.19/5.36 tff(8312,plain,
% 5.19/5.36 (mult(c, a) = mult(a, c)),
% 5.19/5.36 inference(transitivity,[status(thm)],[4154, 8311, 3523])).
% 5.19/5.36 tff(8313,plain,
% 5.19/5.36 (mult(mult(mult(a, c), mult(b, a)), mult(c, a)) = mult(mult(mult(a, c), mult(b, a)), mult(a, c))),
% 5.19/5.36 inference(monotonicity,[status(thm)],[8312])).
% 5.19/5.36 tff(8314,plain,
% 5.19/5.36 ((mult(mult(mult(mult(a, c), mult(b, a)), a), c) = mult(mult(mult(a, c), mult(b, a)), mult(c, a))) <=> (mult(mult(mult(mult(a, c), mult(b, a)), a), c) = mult(mult(mult(a, c), mult(b, a)), mult(a, c)))),
% 5.19/5.36 inference(monotonicity,[status(thm)],[8313])).
% 5.19/5.36 tff(8315,plain,
% 5.19/5.36 ((mult(mult(mult(mult(a, c), mult(b, a)), a), c) = mult(mult(mult(a, c), mult(b, a)), mult(a, c))) <=> (mult(mult(mult(mult(a, c), mult(b, a)), a), c) = mult(mult(mult(a, c), mult(b, a)), mult(c, a)))),
% 5.19/5.36 inference(symmetry,[status(thm)],[8314])).
% 5.19/5.36 tff(8316,plain,
% 5.19/5.36 ((~(mult(mult(mult(mult(a, c), mult(b, a)), a), c) = mult(mult(mult(a, c), mult(b, a)), mult(a, c)))) <=> (~(mult(mult(mult(mult(a, c), mult(b, a)), a), c) = mult(mult(mult(a, c), mult(b, a)), mult(c, a))))),
% 5.19/5.36 inference(monotonicity,[status(thm)],[8315])).
% 5.19/5.36 tff(8317,plain,
% 5.19/5.36 (mult(a, b) = mult(b, a)),
% 5.19/5.36 inference(transitivity,[status(thm)],[2369, 8306, 2364])).
% 5.19/5.36 tff(8318,plain,
% 5.19/5.36 (mult(mult(a, b), mult(c, a)) = mult(mult(b, a), mult(c, a))),
% 5.19/5.36 inference(monotonicity,[status(thm)],[8317])).
% 5.19/5.36 tff(8319,plain,
% 5.19/5.36 (mult(mult(b, a), mult(c, a)) = mult(mult(a, b), mult(c, a))),
% 5.19/5.36 inference(symmetry,[status(thm)],[8318])).
% 5.19/5.36 tff(8320,plain,
% 5.19/5.36 ((mult(mult(b, a), mult(a, c)) = mult(mult(mult(b, a), c), a)) <=> (mult(mult(mult(b, a), c), a) = mult(mult(b, a), mult(a, c)))),
% 5.19/5.36 inference(commutativity,[status(thm)],[])).
% 5.19/5.36 tff(8321,assumption,(~(mult(mult(mult(b, a), a), c) = mult(mult(b, a), mult(c, a)))), introduced(assumption)).
% 5.19/5.36 tff(8322,plain,
% 5.19/5.36 ((~(mult(mult(mult(b, a), a), c) = mult(mult(b, a), mult(c, a)))) | (~(mult(mult(mult(b, a), c), a) = mult(mult(b, a), mult(a, c))))),
% 5.19/5.36 inference(unit_resolution,[status(thm)],[7563, 8321])).
% 5.19/5.36 tff(8323,plain,
% 5.19/5.36 (~((~(mult(mult(mult(b, a), a), c) = mult(mult(b, a), mult(a, c)))) | (~(mult(mult(mult(b, a), c), a) = mult(mult(b, a), mult(c, a)))))),
% 5.19/5.36 inference(unit_resolution,[status(thm)],[3440, 8322])).
% 5.19/5.36 tff(8324,plain,
% 5.19/5.36 (mult(mult(mult(b, a), c), a) = mult(mult(b, a), mult(c, a))),
% 5.19/5.36 inference(unit_resolution,[status(thm)],[3442, 8323])).
% 5.19/5.36 tff(8325,plain,
% 5.19/5.36 (mult(mult(b, a), mult(c, a)) = mult(mult(mult(b, a), c), a)),
% 5.19/5.36 inference(symmetry,[status(thm)],[8324])).
% 5.19/5.36 tff(8326,plain,
% 5.19/5.36 (((~(mult(mult(mult(b, a), a), c) = mult(mult(b, a), mult(a, c)))) | (~(mult(mult(mult(b, a), c), a) = mult(mult(b, a), mult(c, a))))) | (mult(mult(mult(b, a), a), c) = mult(mult(b, a), mult(a, c)))),
% 5.19/5.36 inference(tautology,[status(thm)],[])).
% 5.19/5.36 tff(8327,plain,
% 5.19/5.36 (mult(mult(mult(b, a), a), c) = mult(mult(b, a), mult(a, c))),
% 5.19/5.36 inference(unit_resolution,[status(thm)],[8326, 8323])).
% 5.19/5.36 tff(8328,plain,
% 5.19/5.36 ((mult(mult(mult(b, a), a), c) = mult(mult(b, a), mult(c, a))) <=> (mult(mult(b, a), mult(a, c)) = mult(mult(mult(b, a), c), a))),
% 5.19/5.36 inference(monotonicity,[status(thm)],[8327, 8325])).
% 5.19/5.36 tff(8329,plain,
% 5.19/5.36 ((mult(mult(mult(b, a), a), c) = mult(mult(b, a), mult(c, a))) <=> (mult(mult(mult(b, a), c), a) = mult(mult(b, a), mult(a, c)))),
% 5.19/5.36 inference(transitivity,[status(thm)],[8328, 8320])).
% 5.19/5.36 tff(8330,plain,
% 5.19/5.36 ((mult(mult(mult(b, a), c), a) = mult(mult(b, a), mult(a, c))) <=> (mult(mult(mult(b, a), a), c) = mult(mult(b, a), mult(c, a)))),
% 5.19/5.36 inference(symmetry,[status(thm)],[8329])).
% 5.19/5.36 tff(8331,plain,
% 5.19/5.36 (mult(mult(mult(b, a), a), c) = mult(mult(b, a), mult(c, a))),
% 5.19/5.36 inference(modus_ponens,[status(thm)],[3530, 8330])).
% 5.19/5.36 tff(8332,plain,
% 5.19/5.36 ($false),
% 5.19/5.36 inference(unit_resolution,[status(thm)],[8321, 8331])).
% 5.19/5.36 tff(8333,plain,(mult(mult(mult(b, a), a), c) = mult(mult(b, a), mult(c, a))), inference(lemma,lemma(discharge,[]))).
% 5.19/5.36 tff(8334,plain,
% 5.19/5.36 (mult(mult(a, b), a) = mult(mult(b, a), a)),
% 5.19/5.36 inference(monotonicity,[status(thm)],[8317])).
% 5.19/5.36 tff(8335,plain,
% 5.19/5.36 (mult(mult(mult(a, b), a), c) = mult(mult(mult(b, a), a), c)),
% 5.19/5.36 inference(monotonicity,[status(thm)],[8334])).
% 5.19/5.36 tff(8336,plain,
% 5.19/5.36 (mult(mult(a, mult(b, a)), c) = mult(mult(mult(a, b), a), c)),
% 5.19/5.36 inference(monotonicity,[status(thm)],[4194])).
% 5.19/5.36 tff(8337,plain,
% 5.19/5.36 (mult(mult(a, mult(b, a)), c) = mult(mult(a, b), mult(c, a))),
% 5.19/5.36 inference(transitivity,[status(thm)],[8336, 8335, 8333, 8319])).
% 5.19/5.36 tff(8338,plain,
% 5.19/5.36 ((mult(mult(a, mult(b, a)), c) = mult(a, mult(mult(b, a), c))) <=> (mult(mult(a, b), mult(c, a)) = mult(a, mult(b, mult(c, a))))),
% 5.19/5.36 inference(monotonicity,[status(thm)],[8337, 4878])).
% 5.19/5.36 tff(8339,plain,
% 5.19/5.36 ((mult(mult(a, b), mult(c, a)) = mult(a, mult(b, mult(c, a)))) <=> (mult(mult(a, mult(b, a)), c) = mult(a, mult(mult(b, a), c)))),
% 5.19/5.36 inference(symmetry,[status(thm)],[8338])).
% 5.19/5.36 tff(8340,plain,
% 5.19/5.36 ((mult(a, mult(mult(c, b), a)) = mult(mult(a, a), mult(c, b))) <=> (mult(mult(a, a), mult(c, b)) = mult(a, mult(mult(c, b), a)))),
% 5.19/5.36 inference(commutativity,[status(thm)],[])).
% 5.19/5.36 tff(8341,plain,
% 5.19/5.36 (mult(b, mult(c, a)) = mult(a, mult(c, b))),
% 5.19/5.36 inference(transitivity,[status(thm)],[3531, 8309, 91])).
% 5.19/5.36 tff(8342,plain,
% 5.19/5.36 (mult(a, mult(b, mult(c, a))) = mult(a, mult(a, mult(c, b)))),
% 5.19/5.36 inference(monotonicity,[status(thm)],[8341])).
% 5.19/5.36 tff(8343,plain,
% 5.19/5.36 (mult(a, mult(b, mult(c, a))) = mult(mult(a, a), mult(c, b))),
% 5.19/5.37 inference(transitivity,[status(thm)],[8342, 8186])).
% 5.19/5.37 tff(8344,plain,
% 5.19/5.37 (mult(mult(b, mult(c, a)), a) = mult(mult(a, mult(c, b)), a)),
% 5.19/5.37 inference(monotonicity,[status(thm)],[8341])).
% 5.19/5.37 tff(8345,plain,
% 5.19/5.37 (mult(mult(a, b), mult(a, c)) = mult(mult(b, a), mult(a, c))),
% 5.19/5.37 inference(monotonicity,[status(thm)],[8317])).
% 5.19/5.37 tff(8346,plain,
% 5.19/5.37 (mult(a, mult(mult(a, c), b)) = mult(mult(a, b), mult(a, c))),
% 5.19/5.37 inference(symmetry,[status(thm)],[8156])).
% 5.19/5.37 tff(8347,plain,
% 5.19/5.37 ((~(mult(mult(mult(a, a), b), c) = mult(mult(a, a), mult(c, b)))) | (~(mult(mult(mult(a, a), c), b) = mult(mult(a, a), mult(b, c))))),
% 5.19/5.37 inference(unit_resolution,[status(thm)],[326, 8294])).
% 5.19/5.37 tff(8348,plain,
% 5.19/5.37 (~((~(mult(mult(mult(a, a), b), c) = mult(mult(a, a), mult(b, c)))) | (~(mult(mult(mult(a, a), c), b) = mult(mult(a, a), mult(c, b)))))),
% 5.19/5.37 inference(unit_resolution,[status(thm)],[338, 8347])).
% 5.19/5.37 tff(8349,plain,
% 5.19/5.37 (mult(mult(mult(a, a), b), c) = mult(mult(a, a), mult(b, c))),
% 5.19/5.37 inference(unit_resolution,[status(thm)],[317, 8348])).
% 5.19/5.37 tff(8350,plain,
% 5.19/5.37 (mult(a, mult(a, b)) = mult(a, mult(b, a))),
% 5.19/5.37 inference(monotonicity,[status(thm)],[8317])).
% 5.19/5.37 tff(8351,plain,
% 5.19/5.37 (mult(a, mult(b, a)) = mult(a, mult(a, b))),
% 5.19/5.37 inference(symmetry,[status(thm)],[8350])).
% 5.19/5.37 tff(8352,plain,
% 5.19/5.37 (mult(mult(b, a), a) = mult(mult(a, b), a)),
% 5.19/5.37 inference(symmetry,[status(thm)],[8334])).
% 5.19/5.37 tff(8353,plain,
% 5.19/5.37 (mult(mult(b, a), a) = mult(mult(a, a), b)),
% 5.19/5.37 inference(transitivity,[status(thm)],[8352, 4193, 8351, 6193])).
% 5.19/5.37 tff(8354,plain,
% 5.19/5.37 (mult(mult(mult(b, a), a), c) = mult(mult(mult(a, a), b), c)),
% 5.19/5.37 inference(monotonicity,[status(thm)],[8353])).
% 5.19/5.37 tff(8355,plain,
% 5.19/5.37 (mult(mult(b, a), mult(c, a)) = mult(mult(mult(b, a), a), c)),
% 5.19/5.37 inference(symmetry,[status(thm)],[8333])).
% 5.19/5.37 tff(8356,plain,
% 5.19/5.37 (mult(mult(a, b), mult(c, a)) = mult(a, mult(mult(c, b), a))),
% 5.19/5.37 inference(transitivity,[status(thm)],[8318, 8355, 8354, 8349, 8162, 5686, 8346, 8345, 4650, 4656, 8344, 8184])).
% 5.19/5.37 tff(8357,plain,
% 5.19/5.37 ((mult(mult(a, b), mult(c, a)) = mult(a, mult(b, mult(c, a)))) <=> (mult(a, mult(mult(c, b), a)) = mult(mult(a, a), mult(c, b)))),
% 5.19/5.37 inference(monotonicity,[status(thm)],[8356, 8343])).
% 5.19/5.37 tff(8358,plain,
% 5.19/5.37 ((mult(mult(a, b), mult(c, a)) = mult(a, mult(b, mult(c, a)))) <=> (mult(mult(a, a), mult(c, b)) = mult(a, mult(mult(c, b), a)))),
% 5.19/5.37 inference(transitivity,[status(thm)],[8357, 8340])).
% 5.19/5.37 tff(8359,plain,
% 5.19/5.37 ((mult(mult(a, a), mult(c, b)) = mult(a, mult(mult(c, b), a))) <=> (mult(mult(a, b), mult(c, a)) = mult(a, mult(b, mult(c, a))))),
% 5.19/5.37 inference(symmetry,[status(thm)],[8358])).
% 5.19/5.37 tff(8360,plain,
% 5.19/5.37 ((mult(mult(a, a), mult(c, b)) = mult(a, mult(mult(c, b), a))) <=> (mult(mult(a, mult(b, a)), c) = mult(a, mult(mult(b, a), c)))),
% 5.19/5.37 inference(transitivity,[status(thm)],[8359, 8339])).
% 5.19/5.37 tff(8361,plain,
% 5.19/5.37 ((~(mult(mult(a, a), mult(c, b)) = mult(a, mult(mult(c, b), a)))) <=> (~(mult(mult(a, mult(b, a)), c) = mult(a, mult(mult(b, a), c))))),
% 5.19/5.37 inference(monotonicity,[status(thm)],[8360])).
% 5.19/5.37 tff(8362,plain,
% 5.19/5.37 (mult(mult(mult(a, b), c), a) = mult(a, mult(mult(c, b), a))),
% 5.19/5.37 inference(transitivity,[status(thm)],[608, 8184])).
% 5.19/5.37 tff(8363,plain,
% 5.19/5.37 ((mult(a, mult(b, mult(c, a))) = mult(mult(mult(a, b), c), a)) <=> (mult(mult(a, a), mult(c, b)) = mult(a, mult(mult(c, b), a)))),
% 5.19/5.37 inference(monotonicity,[status(thm)],[8343, 8362])).
% 5.19/5.37 tff(8364,plain,
% 5.19/5.37 ((~(mult(a, mult(b, mult(c, a))) = mult(mult(mult(a, b), c), a))) <=> (~(mult(mult(a, a), mult(c, b)) = mult(a, mult(mult(c, b), a))))),
% 5.19/5.37 inference(monotonicity,[status(thm)],[8363])).
% 5.19/5.37 tff(8365,plain,
% 5.19/5.37 (~(mult(mult(a, a), mult(c, b)) = mult(a, mult(mult(c, b), a)))),
% 5.19/5.37 inference(modus_ponens,[status(thm)],[194, 8364])).
% 5.19/5.37 tff(8366,plain,
% 5.19/5.37 (~(mult(mult(a, mult(b, a)), c) = mult(a, mult(mult(b, a), c)))),
% 5.19/5.37 inference(modus_ponens,[status(thm)],[8365, 8361])).
% 5.19/5.37 tff(8367,plain,
% 5.19/5.37 (mult(mult(c, a), b) = mult(mult(a, c), b)),
% 5.19/5.37 inference(monotonicity,[status(thm)],[8312])).
% 5.19/5.37 tff(8368,plain,
% 5.19/5.37 (mult(a, mult(mult(c, a), b)) = mult(a, mult(mult(a, c), b))),
% 5.19/5.37 inference(monotonicity,[status(thm)],[8367])).
% 5.19/5.37 tff(8369,plain,
% 5.19/5.37 (mult(a, mult(mult(a, c), b)) = mult(a, mult(mult(c, a), b))),
% 5.19/5.37 inference(symmetry,[status(thm)],[8368])).
% 5.19/5.37 tff(8370,plain,
% 5.19/5.37 (mult(mult(a, b), mult(c, a)) = mult(a, mult(mult(c, a), b))),
% 5.19/5.37 inference(transitivity,[status(thm)],[8318, 8355, 8354, 8349, 8162, 5686, 8369])).
% 5.19/5.37 tff(8371,plain,
% 5.19/5.37 (mult(mult(a, b), mult(mult(b, a), mult(a, c))) = mult(mult(b, a), mult(mult(b, a), mult(a, c)))),
% 5.19/5.37 inference(monotonicity,[status(thm)],[8317])).
% 5.19/5.37 tff(8372,plain,
% 5.19/5.37 (mult(mult(b, a), mult(mult(b, a), mult(a, c))) = mult(mult(a, b), mult(mult(b, a), mult(a, c)))),
% 5.19/5.37 inference(symmetry,[status(thm)],[8371])).
% 5.19/5.37 tff(8373,plain,
% 5.19/5.37 (mult(mult(b, a), mult(a, c)) = mult(mult(a, b), mult(a, c))),
% 5.19/5.37 inference(symmetry,[status(thm)],[8345])).
% 5.19/5.37 tff(8374,plain,
% 5.19/5.37 (mult(mult(mult(b, a), mult(a, c)), mult(b, a)) = mult(mult(mult(a, b), mult(a, c)), mult(b, a))),
% 5.19/5.37 inference(monotonicity,[status(thm)],[8373])).
% 5.19/5.37 tff(8375,plain,
% 5.19/5.37 ((mult(mult(mult(b, a), mult(a, c)), mult(b, a)) = mult(mult(b, a), mult(mult(b, a), mult(a, c)))) <=> (mult(mult(mult(a, b), mult(a, c)), mult(b, a)) = mult(mult(a, b), mult(mult(b, a), mult(a, c))))),
% 5.19/5.37 inference(monotonicity,[status(thm)],[8374, 8372])).
% 5.19/5.37 tff(8376,plain,
% 5.19/5.37 ((mult(mult(mult(a, b), mult(a, c)), mult(b, a)) = mult(mult(a, b), mult(mult(b, a), mult(a, c)))) <=> (mult(mult(mult(b, a), mult(a, c)), mult(b, a)) = mult(mult(b, a), mult(mult(b, a), mult(a, c))))),
% 5.19/5.37 inference(symmetry,[status(thm)],[8375])).
% 5.19/5.37 tff(8377,plain,
% 5.19/5.37 (mult(mult(b, a), mult(mult(b, a), mult(a, c))) = mult(mult(a, b), mult(mult(a, b), mult(a, c)))),
% 5.19/5.37 inference(monotonicity,[status(thm)],[8308, 8373])).
% 5.19/5.37 tff(8378,plain,
% 5.19/5.37 (mult(mult(a, b), mult(mult(a, b), mult(a, c))) = mult(mult(b, a), mult(mult(b, a), mult(a, c)))),
% 5.19/5.37 inference(symmetry,[status(thm)],[8377])).
% 5.19/5.37 tff(8379,plain,
% 5.19/5.37 (mult(mult(a, b), mult(mult(a, b), mult(a, c))) = mult(mult(a, b), mult(mult(b, a), mult(a, c)))),
% 5.19/5.37 inference(transitivity,[status(thm)],[8378, 8372])).
% 5.19/5.37 tff(8380,plain,
% 5.19/5.37 (mult(a, mult(a, mult(b, c))) = mult(mult(a, a), mult(b, c))),
% 5.19/5.37 inference(symmetry,[status(thm)],[8162])).
% 5.19/5.37 tff(8381,plain,
% 5.19/5.37 (mult(mult(a, b), mult(a, c)) = mult(mult(a, a), mult(b, c))),
% 5.19/5.37 inference(transitivity,[status(thm)],[8156, 5687, 8380])).
% 5.19/5.37 tff(8382,plain,
% 5.19/5.37 (mult(mult(mult(a, b), mult(a, c)), mult(b, a)) = mult(mult(mult(a, a), mult(b, c)), mult(a, b))),
% 5.19/5.37 inference(monotonicity,[status(thm)],[8381, 8308])).
% 5.19/5.37 tff(8383,plain,
% 5.19/5.37 (mult(mult(mult(a, a), mult(b, c)), mult(a, b)) = mult(mult(mult(a, b), mult(a, c)), mult(b, a))),
% 5.19/5.37 inference(symmetry,[status(thm)],[8382])).
% 5.19/5.37 tff(8384,plain,
% 5.19/5.37 (mult(mult(mult(a, b), mult(a, c)), mult(a, b)) = mult(mult(mult(a, a), mult(b, c)), mult(a, b))),
% 5.19/5.37 inference(monotonicity,[status(thm)],[8381])).
% 5.19/5.37 tff(8385,plain,
% 5.19/5.37 (mult(mult(mult(a, b), mult(a, c)), mult(a, b)) = mult(mult(mult(a, b), mult(a, c)), mult(b, a))),
% 5.19/5.37 inference(transitivity,[status(thm)],[8384, 8383])).
% 5.19/5.37 tff(8386,plain,
% 5.19/5.37 ((mult(mult(mult(a, b), mult(a, c)), mult(a, b)) = mult(mult(a, b), mult(mult(a, b), mult(a, c)))) <=> (mult(mult(mult(a, b), mult(a, c)), mult(b, a)) = mult(mult(a, b), mult(mult(b, a), mult(a, c))))),
% 5.19/5.37 inference(monotonicity,[status(thm)],[8385, 8379])).
% 5.19/5.37 tff(8387,plain,
% 5.19/5.37 ((mult(mult(a, b), mult(mult(a, b), mult(a, c))) = mult(mult(mult(a, b), mult(a, c)), mult(a, b))) <=> (mult(mult(mult(a, b), mult(a, c)), mult(a, b)) = mult(mult(a, b), mult(mult(a, b), mult(a, c))))),
% 5.19/5.37 inference(commutativity,[status(thm)],[])).
% 5.19/5.37 tff(8388,plain,
% 5.19/5.37 (mult(mult(mult(a, a), mult(b, c)), mult(a, b)) = mult(mult(mult(a, b), mult(a, c)), mult(a, b))),
% 5.19/5.37 inference(symmetry,[status(thm)],[8384])).
% 5.19/5.37 tff(8389,plain,
% 5.19/5.37 (mult(mult(a, c), mult(a, b)) = mult(mult(a, c), mult(b, a))),
% 5.19/5.37 inference(transitivity,[status(thm)],[1106, 3564, 3581, 3547])).
% 5.19/5.37 tff(8390,plain,
% 5.19/5.37 (ld(mult(a, c), mult(mult(a, c), mult(a, b))) = ld(mult(a, c), mult(mult(a, c), mult(b, a)))),
% 5.19/5.37 inference(monotonicity,[status(thm)],[8389])).
% 5.19/5.37 tff(8391,plain,
% 5.19/5.37 (mult(a, b) = mult(b, a)),
% 5.19/5.37 inference(transitivity,[status(thm)],[2369, 8390, 2364])).
% 5.19/5.37 tff(8392,plain,
% 5.19/5.37 (mult(mult(mult(b, a), mult(a, c)), mult(a, b)) = mult(mult(mult(b, a), mult(a, c)), mult(b, a))),
% 5.19/5.37 inference(monotonicity,[status(thm)],[8391])).
% 5.19/5.37 tff(8393,plain,
% 5.19/5.37 ((mult(mult(mult(mult(b, a), mult(a, c)), a), b) = mult(mult(mult(b, a), mult(a, c)), mult(a, b))) <=> (mult(mult(mult(mult(b, a), mult(a, c)), a), b) = mult(mult(mult(b, a), mult(a, c)), mult(b, a)))),
% 5.19/5.37 inference(monotonicity,[status(thm)],[8392])).
% 5.19/5.37 tff(8394,assumption,(~(mult(mult(mult(mult(b, a), mult(a, c)), a), b) = mult(mult(mult(b, a), mult(a, c)), mult(b, a)))), introduced(assumption)).
% 5.19/5.37 tff(8395,plain,
% 5.19/5.37 ((~(mult(mult(mult(mult(b, a), mult(a, c)), b), a) = mult(mult(mult(b, a), mult(a, c)), mult(a, b)))) | (~(mult(mult(mult(mult(b, a), mult(a, c)), a), b) = mult(mult(mult(b, a), mult(a, c)), mult(b, a))))),
% 5.19/5.37 inference(unit_resolution,[status(thm)],[7886, 8394])).
% 5.19/5.37 tff(8396,plain,
% 5.19/5.37 (~((~(mult(mult(mult(mult(b, a), mult(a, c)), a), b) = mult(mult(mult(b, a), mult(a, c)), mult(a, b)))) | (~(mult(mult(mult(mult(b, a), mult(a, c)), b), a) = mult(mult(mult(b, a), mult(a, c)), mult(b, a)))))),
% 5.19/5.37 inference(unit_resolution,[status(thm)],[7879, 8395])).
% 5.19/5.37 tff(8397,plain,
% 5.19/5.37 (((~(mult(mult(mult(mult(b, a), mult(a, c)), a), b) = mult(mult(mult(b, a), mult(a, c)), mult(a, b)))) | (~(mult(mult(mult(mult(b, a), mult(a, c)), b), a) = mult(mult(mult(b, a), mult(a, c)), mult(b, a))))) | (mult(mult(mult(mult(b, a), mult(a, c)), a), b) = mult(mult(mult(b, a), mult(a, c)), mult(a, b)))),
% 5.19/5.37 inference(tautology,[status(thm)],[])).
% 5.19/5.37 tff(8398,plain,
% 5.19/5.37 (mult(mult(mult(mult(b, a), mult(a, c)), a), b) = mult(mult(mult(b, a), mult(a, c)), mult(a, b))),
% 5.19/5.37 inference(unit_resolution,[status(thm)],[8397, 8396])).
% 5.19/5.37 tff(8399,plain,
% 5.19/5.37 (mult(mult(mult(mult(b, a), mult(a, c)), a), b) = mult(mult(mult(b, a), mult(a, c)), mult(b, a))),
% 5.19/5.37 inference(modus_ponens,[status(thm)],[8398, 8393])).
% 5.19/5.37 tff(8400,plain,
% 5.19/5.37 ($false),
% 5.19/5.37 inference(unit_resolution,[status(thm)],[8394, 8399])).
% 5.19/5.37 tff(8401,plain,((mult(mult(mult(mult(b, a), mult(a, c)), a), b) = mult(mult(mult(b, a), mult(a, c)), mult(b, a))) | (~(mult(mult(mult(a, c), b), a) = mult(mult(a, c), mult(a, b)))) | (~(mult(mult(mult(a, c), mult(b, a)), b) = mult(mult(a, c), mult(mult(b, a), b))))), inference(lemma,lemma(discharge,[]))).
% 5.19/5.37 tff(8402,plain,
% 5.19/5.37 (mult(mult(mult(mult(b, a), mult(a, c)), a), b) = mult(mult(mult(b, a), mult(a, c)), mult(b, a))),
% 5.19/5.37 inference(unit_resolution,[status(thm)],[8401, 8296, 8192])).
% 5.19/5.37 tff(8403,plain,
% 5.19/5.37 (mult(mult(b, a), mult(a, c)) = mult(a, mult(mult(a, c), b))),
% 5.19/5.37 inference(transitivity,[status(thm)],[8373, 8156])).
% 5.19/5.37 tff(8404,plain,
% 5.19/5.37 (mult(mult(mult(b, a), mult(a, c)), a) = mult(mult(a, mult(mult(a, c), b)), a)),
% 5.19/5.37 inference(monotonicity,[status(thm)],[8403])).
% 5.19/5.37 tff(8405,plain,
% 5.19/5.37 (mult(mult(a, mult(mult(a, c), b)), a) = mult(mult(mult(b, a), mult(a, c)), a)),
% 5.19/5.37 inference(symmetry,[status(thm)],[8404])).
% 5.19/5.37 tff(8406,plain,
% 5.19/5.37 (mult(mult(mult(b, c), a), a) = mult(mult(b, mult(a, c)), a)),
% 5.19/5.37 inference(monotonicity,[status(thm)],[3433])).
% 5.19/5.37 tff(8407,plain,
% 5.19/5.37 (mult(a, mult(c, b)) = mult(mult(b, c), a)),
% 5.19/5.37 inference(transitivity,[status(thm)],[803, 8300, 4716])).
% 5.19/5.37 tff(8408,plain,
% 5.19/5.37 (mult(mult(a, mult(c, b)), a) = mult(mult(mult(b, c), a), a)),
% 5.19/5.37 inference(monotonicity,[status(thm)],[8407])).
% 5.19/5.37 tff(8409,plain,
% 5.19/5.37 (mult(a, mult(mult(a, c), b)) = mult(b, mult(a, mult(a, c)))),
% 5.19/5.37 inference(transitivity,[status(thm)],[8346, 8345, 4650, 4656, 8344, 8408, 8406, 5328])).
% 5.19/5.37 tff(8410,plain,
% 5.19/5.37 (mult(mult(a, mult(mult(a, c), b)), a) = mult(mult(b, mult(a, mult(a, c))), a)),
% 5.19/5.37 inference(monotonicity,[status(thm)],[8409])).
% 5.19/5.37 tff(8411,plain,
% 5.19/5.37 (mult(mult(b, mult(a, mult(a, c))), a) = mult(mult(a, mult(mult(a, c), b)), a)),
% 5.19/5.37 inference(symmetry,[status(thm)],[8410])).
% 5.19/5.37 tff(8412,plain,
% 5.19/5.37 (mult(mult(mult(b, a), a), c) = mult(b, mult(a, mult(a, c)))),
% 5.19/5.37 inference(transitivity,[status(thm)],[8354, 8349, 8162, 5686, 8346, 8345, 4650, 4656, 8344, 8408, 8406, 5328])).
% 5.19/5.37 tff(8413,plain,
% 5.19/5.37 (mult(mult(mult(mult(b, a), a), c), a) = mult(mult(b, mult(a, mult(a, c))), a)),
% 5.19/5.37 inference(monotonicity,[status(thm)],[8412])).
% 5.19/5.37 tff(8414,plain,
% 5.19/5.37 ((~![C: $i, B: $i, A: $i] : (mult(mult(mult(A, B), C), B) = mult(A, mult(mult(B, C), B)))) | (mult(mult(mult(mult(b, a), a), c), a) = mult(mult(b, a), mult(mult(a, c), a)))),
% 5.19/5.37 inference(quant_inst,[status(thm)],[])).
% 5.19/5.37 tff(8415,plain,
% 5.19/5.37 (mult(mult(mult(mult(b, a), a), c), a) = mult(mult(b, a), mult(mult(a, c), a))),
% 5.19/5.37 inference(unit_resolution,[status(thm)],[8414, 860])).
% 5.19/5.37 tff(8416,plain,
% 5.19/5.37 (mult(mult(b, a), mult(mult(a, c), a)) = mult(mult(mult(mult(b, a), a), c), a)),
% 5.19/5.37 inference(symmetry,[status(thm)],[8415])).
% 5.19/5.37 tff(8417,plain,
% 5.19/5.37 (mult(b, mult(mult(a, c), a)) = mult(b, mult(a, mult(a, c)))),
% 5.19/5.37 inference(transitivity,[status(thm)],[863, 4656, 8344, 8408, 8406, 5328])).
% 5.19/5.37 tff(8418,plain,
% 5.19/5.37 (ld(b, mult(b, mult(mult(a, c), a))) = ld(b, mult(b, mult(a, mult(a, c))))),
% 5.19/5.37 inference(monotonicity,[status(thm)],[8417])).
% 5.19/5.37 tff(8419,plain,
% 5.19/5.37 (ld(b, mult(b, mult(a, mult(a, c)))) = ld(b, mult(b, mult(mult(a, c), a)))),
% 5.19/5.37 inference(symmetry,[status(thm)],[8418])).
% 5.19/5.37 tff(8420,plain,
% 5.19/5.37 ((~![B: $i, A: $i] : (ld(A, mult(A, B)) = B)) | (ld(b, mult(b, mult(a, mult(a, c)))) = mult(a, mult(a, c)))),
% 5.19/5.37 inference(quant_inst,[status(thm)],[])).
% 5.19/5.37 tff(8421,plain,
% 5.19/5.37 (ld(b, mult(b, mult(a, mult(a, c)))) = mult(a, mult(a, c))),
% 5.19/5.37 inference(unit_resolution,[status(thm)],[8420, 9])).
% 5.19/5.37 tff(8422,plain,
% 5.19/5.37 (mult(a, mult(a, c)) = ld(b, mult(b, mult(a, mult(a, c))))),
% 5.19/5.37 inference(symmetry,[status(thm)],[8421])).
% 5.19/5.37 tff(8423,plain,
% 5.19/5.37 (mult(a, mult(a, c)) = mult(mult(a, c), a)),
% 5.19/5.37 inference(transitivity,[status(thm)],[8422, 8419, 3447])).
% 5.19/5.37 tff(8424,plain,
% 5.19/5.37 (mult(mult(a, b), mult(a, mult(a, c))) = mult(mult(b, a), mult(mult(a, c), a))),
% 5.19/5.37 inference(monotonicity,[status(thm)],[8317, 8423])).
% 5.19/5.37 tff(8425,plain,
% 5.19/5.37 (mult(mult(a, b), mult(a, mult(a, c))) = mult(mult(mult(b, a), mult(a, c)), a)),
% 5.19/5.37 inference(transitivity,[status(thm)],[8424, 8416, 8413, 8411, 8405])).
% 5.19/5.37 tff(8426,plain,
% 5.19/5.37 (mult(mult(mult(a, b), mult(a, mult(a, c))), b) = mult(mult(mult(mult(b, a), mult(a, c)), a), b)),
% 5.19/5.37 inference(monotonicity,[status(thm)],[8425])).
% 5.19/5.37 tff(8427,plain,
% 5.19/5.37 (mult(mult(mult(b, c), a), a) = mult(mult(a, mult(c, b)), a)),
% 5.19/5.37 inference(symmetry,[status(thm)],[8408])).
% 5.19/5.37 tff(8428,plain,
% 5.19/5.37 (mult(mult(b, mult(a, c)), a) = mult(mult(mult(b, c), a), a)),
% 5.19/5.37 inference(symmetry,[status(thm)],[8406])).
% 5.19/5.37 tff(8429,plain,
% 5.19/5.37 (mult(b, mult(a, mult(a, c))) = mult(mult(a, mult(c, b)), a)),
% 5.19/5.37 inference(transitivity,[status(thm)],[5329, 8428, 8427])).
% 5.19/5.37 tff(8430,plain,
% 5.19/5.37 (mult(mult(b, mult(a, mult(a, c))), b) = mult(mult(mult(a, mult(c, b)), a), b)),
% 5.19/5.37 inference(monotonicity,[status(thm)],[8429])).
% 5.19/5.37 tff(8431,plain,
% 5.19/5.37 (mult(mult(mult(a, mult(c, b)), a), b) = mult(mult(b, mult(a, mult(a, c))), b)),
% 5.19/5.37 inference(symmetry,[status(thm)],[8430])).
% 5.19/5.37 tff(8432,plain,
% 5.19/5.37 (mult(a, mult(mult(mult(a, mult(c, b)), a), b)) = mult(a, mult(mult(b, mult(a, mult(a, c))), b))),
% 5.19/5.37 inference(monotonicity,[status(thm)],[8431])).
% 5.19/5.37 tff(8433,plain,
% 5.19/5.37 (mult(a, mult(mult(mult(a, mult(c, b)), a), b)) = mult(mult(mult(a, b), mult(a, c)), mult(a, b))),
% 5.19/5.37 inference(transitivity,[status(thm)],[8432, 5972, 8426, 8402, 8374, 8382, 8388])).
% 5.19/5.37 tff(8434,plain,
% 5.19/5.37 (mult(mult(a, b), mult(a, c)) = mult(mult(a, mult(c, b)), a)),
% 5.19/5.37 inference(transitivity,[status(thm)],[8345, 4650, 4656, 8344])).
% 5.19/5.37 tff(8435,plain,
% 5.19/5.37 (mult(mult(a, b), mult(mult(a, b), mult(a, c))) = mult(mult(a, b), mult(mult(a, mult(c, b)), a))),
% 5.19/5.37 inference(monotonicity,[status(thm)],[8434])).
% 5.19/5.37 tff(8436,plain,
% 5.19/5.37 (mult(mult(a, b), mult(mult(a, mult(c, b)), a)) = mult(mult(a, b), mult(mult(a, b), mult(a, c)))),
% 5.19/5.37 inference(symmetry,[status(thm)],[8435])).
% 5.19/5.37 tff(8437,plain,
% 5.19/5.37 ((mult(mult(a, b), mult(mult(a, mult(c, b)), a)) = mult(a, mult(mult(mult(a, mult(c, b)), a), b))) <=> (mult(mult(a, b), mult(mult(a, b), mult(a, c))) = mult(mult(mult(a, b), mult(a, c)), mult(a, b)))),
% 5.19/5.37 inference(monotonicity,[status(thm)],[8436, 8433])).
% 5.19/5.37 tff(8438,plain,
% 5.19/5.37 ((mult(mult(a, b), mult(mult(a, mult(c, b)), a)) = mult(a, mult(mult(mult(a, mult(c, b)), a), b))) <=> (mult(mult(mult(a, b), mult(a, c)), mult(a, b)) = mult(mult(a, b), mult(mult(a, b), mult(a, c))))),
% 5.19/5.38 inference(transitivity,[status(thm)],[8437, 8387])).
% 5.19/5.38 tff(8439,plain,
% 5.19/5.38 (mult(a, mult(mult(b, mult(a, mult(a, c))), b)) = mult(a, mult(mult(mult(a, mult(c, b)), a), b))),
% 5.19/5.38 inference(symmetry,[status(thm)],[8432])).
% 5.19/5.38 tff(8440,plain,
% 5.19/5.38 (mult(mult(a, mult(c, b)), a) = mult(b, mult(a, mult(a, c)))),
% 5.19/5.38 inference(transitivity,[status(thm)],[8408, 8406, 5328])).
% 5.19/5.38 tff(8441,plain,
% 5.19/5.38 (mult(mult(a, b), mult(mult(a, mult(c, b)), a)) = mult(mult(a, b), mult(b, mult(a, mult(a, c))))),
% 5.19/5.38 inference(monotonicity,[status(thm)],[8440])).
% 5.19/5.38 tff(8442,plain,
% 5.19/5.38 (mult(mult(a, b), mult(b, mult(a, mult(a, c)))) = mult(mult(a, b), mult(mult(a, mult(c, b)), a))),
% 5.19/5.38 inference(symmetry,[status(thm)],[8441])).
% 5.19/5.38 tff(8443,plain,
% 5.19/5.38 ((mult(mult(a, b), mult(b, mult(a, mult(a, c)))) = mult(a, mult(mult(b, mult(a, mult(a, c))), b))) <=> (mult(mult(a, b), mult(mult(a, mult(c, b)), a)) = mult(a, mult(mult(mult(a, mult(c, b)), a), b)))),
% 5.19/5.38 inference(monotonicity,[status(thm)],[8442, 8439])).
% 5.19/5.38 tff(8444,plain,
% 5.19/5.38 ((mult(mult(a, b), mult(b, mult(a, mult(a, c)))) = mult(a, mult(mult(b, mult(a, mult(a, c))), b))) <=> (mult(mult(mult(b, a), mult(a, c)), mult(b, a)) = mult(mult(b, a), mult(mult(b, a), mult(a, c))))),
% 5.19/5.38 inference(transitivity,[status(thm)],[8443, 8438, 8386, 8376])).
% 5.19/5.38 tff(8445,plain,
% 5.19/5.38 (mult(mult(b, a), c) = mult(mult(b, c), a)),
% 5.19/5.38 inference(transitivity,[status(thm)],[8309, 91, 803, 8300, 4716])).
% 5.19/5.38 tff(8446,plain,
% 5.19/5.38 (mult(mult(mult(b, a), c), mult(b, a)) = mult(mult(mult(b, c), a), mult(a, b))),
% 5.19/5.38 inference(monotonicity,[status(thm)],[8445, 8308])).
% 5.19/5.38 tff(8447,plain,
% 5.19/5.38 (mult(mult(mult(b, c), a), mult(a, b)) = mult(mult(mult(b, a), c), mult(b, a))),
% 5.19/5.38 inference(symmetry,[status(thm)],[8446])).
% 5.19/5.38 tff(8448,plain,
% 5.19/5.38 (mult(a, mult(mult(mult(b, c), a), mult(a, b))) = mult(a, mult(mult(mult(b, a), c), mult(b, a)))),
% 5.19/5.38 inference(monotonicity,[status(thm)],[8447])).
% 5.19/5.38 tff(8449,plain,
% 5.19/5.38 (mult(a, mult(mult(mult(b, a), c), mult(b, a))) = mult(a, mult(mult(mult(b, c), a), mult(a, b)))),
% 5.19/5.38 inference(symmetry,[status(thm)],[8448])).
% 5.19/5.38 tff(8450,plain,
% 5.19/5.38 ((~![C: $i, B: $i, A: $i] : (mult(mult(mult(A, B), C), B) = mult(A, mult(mult(B, C), B)))) | (mult(mult(mult(a, mult(b, a)), c), mult(b, a)) = mult(a, mult(mult(mult(b, a), c), mult(b, a))))),
% 5.19/5.38 inference(quant_inst,[status(thm)],[])).
% 5.19/5.38 tff(8451,plain,
% 5.19/5.38 (mult(mult(mult(a, mult(b, a)), c), mult(b, a)) = mult(a, mult(mult(mult(b, a), c), mult(b, a)))),
% 5.19/5.38 inference(unit_resolution,[status(thm)],[8450, 860])).
% 5.19/5.38 tff(8452,plain,
% 5.19/5.38 (mult(mult(a, mult(b, a)), c) = mult(mult(mult(b, c), a), a)),
% 5.19/5.38 inference(transitivity,[status(thm)],[8336, 8335, 8354, 8349, 8162, 5686, 8346, 8345, 4650, 4656, 8344, 8408])).
% 5.19/5.38 tff(8453,plain,
% 5.19/5.38 (mult(mult(mult(a, mult(b, a)), c), mult(b, a)) = mult(mult(mult(mult(b, c), a), a), mult(b, a))),
% 5.19/5.38 inference(monotonicity,[status(thm)],[8452])).
% 5.19/5.38 tff(8454,plain,
% 5.19/5.38 (mult(mult(mult(mult(b, c), a), a), mult(b, a)) = mult(mult(mult(a, mult(b, a)), c), mult(b, a))),
% 5.19/5.38 inference(symmetry,[status(thm)],[8453])).
% 5.19/5.38 tff(8455,plain,
% 5.19/5.38 (mult(mult(a, mult(c, b)), a) = mult(mult(b, mult(c, a)), a)),
% 5.19/5.38 inference(symmetry,[status(thm)],[8344])).
% 5.19/5.38 tff(8456,plain,
% 5.19/5.38 (mult(mult(mult(b, c), a), a) = mult(mult(a, b), mult(a, c))),
% 5.19/5.38 inference(transitivity,[status(thm)],[8427, 8455, 4657, 3530, 8373])).
% 5.19/5.38 tff(8457,plain,
% 5.19/5.38 (mult(mult(mult(mult(b, c), a), a), mult(b, a)) = mult(mult(mult(a, b), mult(a, c)), mult(b, a))),
% 5.19/5.38 inference(monotonicity,[status(thm)],[8456])).
% 5.19/5.38 tff(8458,plain,
% 5.19/5.38 (mult(mult(mult(a, b), mult(a, c)), mult(b, a)) = mult(mult(mult(mult(b, c), a), a), mult(b, a))),
% 5.19/5.38 inference(symmetry,[status(thm)],[8457])).
% 5.19/5.38 tff(8459,plain,
% 5.19/5.38 (mult(a, mult(mult(b, mult(a, mult(a, c))), b)) = mult(a, mult(mult(mult(b, c), a), mult(a, b)))),
% 5.19/5.38 inference(transitivity,[status(thm)],[5972, 8426, 8402, 8374, 8458, 8454, 8451, 8449])).
% 5.19/5.38 tff(8460,plain,
% 5.19/5.38 (mult(a, mult(mult(b, c), a)) = mult(mult(a, c), mult(b, a))),
% 5.19/5.38 inference(transitivity,[status(thm)],[8161, 607, 3564, 8303, 3547])).
% 5.19/5.38 tff(8461,plain,
% 5.19/5.38 (mult(mult(a, mult(mult(b, c), a)), mult(a, b)) = mult(mult(mult(a, c), mult(b, a)), mult(a, b))),
% 5.19/5.38 inference(monotonicity,[status(thm)],[8460])).
% 5.19/5.38 tff(8462,plain,
% 5.19/5.38 (mult(mult(mult(a, c), mult(b, a)), mult(a, b)) = mult(mult(a, mult(mult(b, c), a)), mult(a, b))),
% 5.19/5.38 inference(symmetry,[status(thm)],[8461])).
% 5.19/5.38 tff(8463,plain,
% 5.19/5.38 (mult(mult(mult(a, c), mult(b, a)), mult(a, b)) = mult(mult(mult(a, c), mult(b, a)), mult(b, a))),
% 5.19/5.38 inference(monotonicity,[status(thm)],[8317])).
% 5.19/5.38 tff(8464,plain,
% 5.19/5.38 (mult(mult(mult(a, c), mult(b, a)), mult(b, a)) = mult(mult(mult(a, c), mult(b, a)), mult(a, b))),
% 5.19/5.38 inference(symmetry,[status(thm)],[8463])).
% 5.19/5.38 tff(8465,plain,
% 5.19/5.38 (mult(mult(mult(c, a), b), a) = mult(mult(mult(a, c), b), a)),
% 5.19/5.38 inference(monotonicity,[status(thm)],[8367])).
% 5.19/5.38 tff(8466,plain,
% 5.19/5.38 (mult(mult(mult(a, c), b), a) = mult(mult(mult(c, a), b), a)),
% 5.19/5.38 inference(symmetry,[status(thm)],[8465])).
% 5.19/5.38 tff(8467,plain,
% 5.19/5.38 (rd(mult(mult(mult(a, c), mult(b, a)), b), b) = rd(mult(mult(mult(mult(a, c), b), a), b), b)),
% 5.19/5.38 inference(symmetry,[status(thm)],[8303])).
% 5.19/5.38 tff(8468,plain,
% 5.19/5.38 (mult(mult(a, c), mult(b, a)) = rd(mult(mult(mult(a, c), mult(b, a)), b), b)),
% 5.19/5.38 inference(symmetry,[status(thm)],[3547])).
% 5.19/5.38 tff(8469,plain,
% 5.19/5.38 (mult(mult(a, c), mult(b, a)) = mult(c, mult(mult(a, b), a))),
% 5.19/5.38 inference(transitivity,[status(thm)],[8468, 8467, 3563, 8466, 2807])).
% 5.19/5.38 tff(8470,plain,
% 5.19/5.38 (mult(mult(mult(a, c), mult(b, a)), mult(b, a)) = mult(mult(c, mult(mult(a, b), a)), mult(b, a))),
% 5.19/5.38 inference(monotonicity,[status(thm)],[8469])).
% 5.19/5.38 tff(8471,plain,
% 5.19/5.38 (mult(mult(c, mult(mult(a, b), a)), mult(b, a)) = mult(mult(mult(a, c), mult(b, a)), mult(b, a))),
% 5.19/5.38 inference(symmetry,[status(thm)],[8470])).
% 5.19/5.38 tff(8472,plain,
% 5.19/5.38 (mult(mult(c, mult(mult(a, b), a)), mult(b, a)) = mult(mult(mult(mult(c, a), b), a), mult(a, b))),
% 5.19/5.38 inference(monotonicity,[status(thm)],[2808, 8308])).
% 5.19/5.38 tff(8473,plain,
% 5.19/5.38 (mult(mult(mult(mult(c, a), b), a), mult(a, b)) = mult(mult(c, mult(mult(a, b), a)), mult(b, a))),
% 5.19/5.38 inference(symmetry,[status(thm)],[8472])).
% 5.19/5.38 tff(8474,plain,
% 5.19/5.38 (mult(mult(a, b), a) = mult(mult(b, a), a)),
% 5.19/5.38 inference(monotonicity,[status(thm)],[8391])).
% 5.19/5.38 tff(8475,plain,
% 5.19/5.38 (mult(a, mult(a, b)) = mult(a, mult(b, a))),
% 5.19/5.38 inference(monotonicity,[status(thm)],[8391])).
% 5.19/5.38 tff(8476,plain,
% 5.19/5.38 (mult(mult(a, a), b) = mult(mult(b, a), a)),
% 5.19/5.38 inference(transitivity,[status(thm)],[4190, 8475, 4194, 8474])).
% 5.19/5.38 tff(8477,plain,
% 5.19/5.38 (mult(mult(mult(c, a), b), mult(mult(a, a), b)) = mult(mult(mult(c, a), b), mult(mult(b, a), a))),
% 5.19/5.38 inference(monotonicity,[status(thm)],[8476])).
% 5.19/5.38 tff(8478,plain,
% 5.19/5.38 (mult(mult(mult(c, a), b), mult(a, mult(a, b))) = mult(mult(mult(c, a), b), mult(mult(a, a), b))),
% 5.19/5.38 inference(monotonicity,[status(thm)],[6193])).
% 5.19/5.38 tff(8479,plain,
% 5.19/5.38 (mult(mult(mult(c, a), b), mult(a, mult(a, b))) = mult(mult(mult(c, a), b), mult(mult(b, a), a))),
% 5.19/5.38 inference(transitivity,[status(thm)],[8478, 8477])).
% 5.19/5.38 tff(8480,plain,
% 5.19/5.38 (mult(mult(mult(mult(c, a), b), a), mult(a, b)) = mult(mult(c, mult(mult(a, b), a)), mult(b, a))),
% 5.19/5.38 inference(monotonicity,[status(thm)],[2807, 8391])).
% 5.19/5.38 tff(8481,plain,
% 5.19/5.38 (mult(mult(mult(mult(c, a), b), a), mult(a, b)) = mult(mult(mult(mult(c, a), b), a), mult(b, a))),
% 5.19/5.38 inference(transitivity,[status(thm)],[8480, 4344])).
% 5.19/5.38 tff(8482,plain,
% 5.19/5.38 ((mult(mult(mult(mult(c, a), b), a), mult(a, b)) = mult(mult(mult(c, a), b), mult(a, mult(a, b)))) <=> (mult(mult(mult(mult(c, a), b), a), mult(b, a)) = mult(mult(mult(c, a), b), mult(mult(b, a), a)))),
% 5.19/5.38 inference(monotonicity,[status(thm)],[8481, 8479])).
% 5.19/5.38 tff(8483,plain,
% 5.19/5.38 ((mult(mult(mult(mult(c, a), b), a), mult(b, a)) = mult(mult(mult(c, a), b), mult(mult(b, a), a))) <=> (mult(mult(mult(mult(c, a), b), a), mult(a, b)) = mult(mult(mult(c, a), b), mult(a, mult(a, b))))),
% 5.19/5.38 inference(symmetry,[status(thm)],[8482])).
% 5.19/5.38 tff(8484,plain,
% 5.19/5.38 (mult(mult(mult(c, a), b), mult(mult(a, b), a)) = mult(mult(mult(c, a), b), mult(mult(b, a), a))),
% 5.19/5.38 inference(monotonicity,[status(thm)],[8474])).
% 5.19/5.38 tff(8485,plain,
% 5.19/5.38 (mult(mult(mult(c, a), b), mult(mult(b, a), a)) = mult(mult(mult(c, a), b), mult(mult(a, b), a))),
% 5.19/5.38 inference(symmetry,[status(thm)],[8484])).
% 5.19/5.38 tff(8486,plain,
% 5.19/5.38 (mult(mult(mult(c, a), b), mult(mult(b, a), a)) = mult(mult(mult(c, a), b), mult(a, mult(b, a)))),
% 5.19/5.38 inference(transitivity,[status(thm)],[8485, 4345])).
% 5.19/5.38 tff(8487,plain,
% 5.19/5.38 ((mult(mult(mult(mult(c, a), b), a), mult(b, a)) = mult(mult(mult(c, a), b), mult(mult(b, a), a))) <=> (mult(mult(mult(mult(c, a), b), a), mult(b, a)) = mult(mult(mult(c, a), b), mult(a, mult(b, a))))),
% 5.19/5.38 inference(monotonicity,[status(thm)],[8486])).
% 5.19/5.38 tff(8488,plain,
% 5.19/5.38 ((mult(mult(mult(mult(c, a), b), a), mult(b, a)) = mult(mult(mult(c, a), b), mult(a, mult(b, a)))) <=> (mult(mult(mult(mult(c, a), b), a), mult(b, a)) = mult(mult(mult(c, a), b), mult(mult(b, a), a)))),
% 5.19/5.38 inference(symmetry,[status(thm)],[8487])).
% 5.19/5.38 tff(8489,plain,
% 5.19/5.38 ((mult(mult(mult(mult(c, a), b), a), mult(a, b)) = mult(mult(mult(c, a), b), mult(mult(a, b), a))) <=> (mult(mult(mult(mult(c, a), b), a), mult(b, a)) = mult(mult(mult(c, a), b), mult(a, mult(b, a))))),
% 5.19/5.38 inference(monotonicity,[status(thm)],[8481, 4345])).
% 5.19/5.38 tff(8490,plain,
% 5.19/5.38 ((mult(mult(mult(mult(c, a), b), a), mult(a, b)) = mult(mult(mult(c, a), b), mult(mult(a, b), a))) <=> (mult(mult(mult(mult(c, a), b), a), mult(a, b)) = mult(mult(mult(c, a), b), mult(a, mult(a, b))))),
% 5.19/5.38 inference(transitivity,[status(thm)],[8489, 8488, 8483])).
% 5.19/5.38 tff(8491,assumption,(~(mult(mult(mult(mult(c, a), b), a), mult(a, b)) = mult(mult(mult(c, a), b), mult(a, mult(a, b))))), introduced(assumption)).
% 5.19/5.38 tff(8492,plain,
% 5.19/5.38 ((~(mult(mult(mult(mult(c, a), b), a), mult(a, b)) = mult(mult(mult(c, a), b), mult(a, mult(a, b))))) | (~(mult(mult(mult(mult(c, a), b), mult(a, b)), a) = mult(mult(mult(c, a), b), mult(mult(a, b), a))))),
% 5.19/5.38 inference(unit_resolution,[status(thm)],[4224, 8491])).
% 5.19/5.38 tff(8493,plain,
% 5.19/5.38 (~((~(mult(mult(mult(mult(c, a), b), a), mult(a, b)) = mult(mult(mult(c, a), b), mult(mult(a, b), a)))) | (~(mult(mult(mult(mult(c, a), b), mult(a, b)), a) = mult(mult(mult(c, a), b), mult(a, mult(a, b))))))),
% 5.19/5.38 inference(unit_resolution,[status(thm)],[4222, 8492])).
% 5.19/5.38 tff(8494,plain,
% 5.19/5.38 (mult(mult(mult(mult(c, a), b), a), mult(a, b)) = mult(mult(mult(c, a), b), mult(mult(a, b), a))),
% 5.19/5.38 inference(unit_resolution,[status(thm)],[4304, 8493])).
% 5.19/5.38 tff(8495,plain,
% 5.19/5.38 (mult(mult(mult(mult(c, a), b), a), mult(a, b)) = mult(mult(mult(c, a), b), mult(a, mult(a, b)))),
% 5.19/5.38 inference(modus_ponens,[status(thm)],[8494, 8490])).
% 5.19/5.38 tff(8496,plain,
% 5.19/5.38 ($false),
% 5.19/5.38 inference(unit_resolution,[status(thm)],[8491, 8495])).
% 5.19/5.38 tff(8497,plain,((mult(mult(mult(mult(c, a), b), a), mult(a, b)) = mult(mult(mult(c, a), b), mult(a, mult(a, b)))) | (~(mult(mult(mult(a, c), b), a) = mult(mult(a, c), mult(a, b)))) | (~(mult(mult(mult(a, c), mult(b, a)), b) = mult(mult(a, c), mult(mult(b, a), b))))), inference(lemma,lemma(discharge,[]))).
% 5.19/5.38 tff(8498,plain,
% 5.19/5.38 (mult(mult(mult(mult(c, a), b), a), mult(a, b)) = mult(mult(mult(c, a), b), mult(a, mult(a, b)))),
% 5.19/5.38 inference(unit_resolution,[status(thm)],[8497, 8296, 8192])).
% 5.19/5.38 tff(8499,plain,
% 5.19/5.38 (mult(mult(mult(c, a), b), mult(a, mult(a, b))) = mult(mult(mult(mult(c, a), b), a), mult(a, b))),
% 5.19/5.38 inference(symmetry,[status(thm)],[8498])).
% 5.19/5.38 tff(8500,plain,
% 5.19/5.38 (mult(mult(mult(c, a), b), mult(mult(a, a), b)) = mult(mult(mult(c, a), b), mult(a, mult(a, b)))),
% 5.19/5.38 inference(symmetry,[status(thm)],[8478])).
% 5.19/5.38 tff(8501,plain,
% 5.19/5.38 (mult(mult(a, a), b) = mult(mult(b, a), a)),
% 5.19/5.38 inference(transitivity,[status(thm)],[4190, 8350, 4194, 8334])).
% 5.19/5.38 tff(8502,plain,
% 5.19/5.38 (mult(mult(mult(c, a), b), mult(mult(a, a), b)) = mult(mult(mult(c, a), b), mult(mult(b, a), a))),
% 5.19/5.38 inference(monotonicity,[status(thm)],[8501])).
% 5.19/5.38 tff(8503,plain,
% 5.19/5.38 (mult(mult(mult(c, a), b), mult(mult(b, a), a)) = mult(mult(mult(c, a), b), mult(mult(a, a), b))),
% 5.19/5.38 inference(symmetry,[status(thm)],[8502])).
% 5.19/5.38 tff(8504,plain,
% 5.19/5.38 (mult(mult(a, c), b) = mult(mult(c, a), b)),
% 5.19/5.38 inference(symmetry,[status(thm)],[8367])).
% 5.19/5.38 tff(8505,plain,
% 5.19/5.38 (mult(mult(mult(a, c), b), mult(mult(a, b), a)) = mult(mult(mult(c, a), b), mult(mult(b, a), a))),
% 5.19/5.38 inference(monotonicity,[status(thm)],[8504, 8334])).
% 5.19/5.38 tff(8506,plain,
% 5.19/5.38 ((~![C: $i, B: $i, A: $i] : (mult(mult(mult(A, B), C), B) = mult(A, mult(mult(B, C), B)))) | (mult(mult(mult(mult(mult(a, c), b), a), b), a) = mult(mult(mult(a, c), b), mult(mult(a, b), a)))),
% 5.19/5.38 inference(quant_inst,[status(thm)],[])).
% 5.19/5.38 tff(8507,plain,
% 5.19/5.38 (mult(mult(mult(mult(mult(a, c), b), a), b), a) = mult(mult(mult(a, c), b), mult(mult(a, b), a))),
% 5.19/5.38 inference(unit_resolution,[status(thm)],[8506, 860])).
% 5.19/5.38 tff(8508,plain,
% 5.19/5.38 (mult(mult(a, c), mult(mult(b, a), b)) = mult(mult(mult(mult(a, c), b), a), b)),
% 5.19/5.38 inference(symmetry,[status(thm)],[3551])).
% 5.19/5.38 tff(8509,plain,
% 5.19/5.38 (mult(mult(mult(a, c), mult(b, a)), b) = mult(mult(mult(mult(a, c), b), a), b)),
% 5.19/5.38 inference(transitivity,[status(thm)],[8192, 8508])).
% 5.19/5.38 tff(8510,plain,
% 5.19/5.38 (mult(mult(mult(mult(a, c), mult(b, a)), b), a) = mult(mult(mult(mult(mult(a, c), b), a), b), a)),
% 5.19/5.38 inference(monotonicity,[status(thm)],[8509])).
% 5.19/5.38 tff(8511,plain,
% 5.19/5.38 (mult(mult(a, mult(a, c)), b) = mult(a, mult(b, mult(a, c)))),
% 5.19/5.38 inference(unit_resolution,[status(thm)],[836, 8155])).
% 5.19/5.38 tff(8512,plain,
% 5.19/5.38 (mult(mult(a, mult(a, c)), b) = mult(mult(a, c), mult(b, a))),
% 5.19/5.38 inference(transitivity,[status(thm)],[8511, 5357, 8161, 607, 3564, 8303, 3547])).
% 5.19/5.38 tff(8513,plain,
% 5.19/5.38 (mult(mult(mult(a, mult(a, c)), b), b) = mult(mult(mult(a, c), mult(b, a)), b)),
% 5.19/5.38 inference(monotonicity,[status(thm)],[8512])).
% 5.19/5.38 tff(8514,plain,
% 5.19/5.38 (((~![X0: $i, X1: $i, X2: $i] : ((~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X2, X1)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X1, X2)))))) | (~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X1, X2)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X2, X1)))))))) | (mult(mult(mult(a, mult(a, c)), b), b) = mult(mult(a, mult(a, c)), mult(b, b)))) <=> ((~![X0: $i, X1: $i, X2: $i] : ((~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X2, X1)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X1, X2)))))) | (~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X1, X2)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X2, X1)))))))) | (mult(mult(mult(a, mult(a, c)), b), b) = mult(mult(a, mult(a, c)), mult(b, b))))),
% 5.19/5.38 inference(rewrite,[status(thm)],[])).
% 5.19/5.38 tff(8515,plain,
% 5.19/5.38 (((mult(mult(mult(a, mult(a, c)), b), b) = mult(mult(a, mult(a, c)), mult(b, b))) | (mult(mult(mult(a, mult(a, c)), b), b) = mult(mult(a, mult(a, c)), mult(b, b)))) <=> (mult(mult(mult(a, mult(a, c)), b), b) = mult(mult(a, mult(a, c)), mult(b, b)))),
% 5.19/5.38 inference(rewrite,[status(thm)],[])).
% 5.19/5.38 tff(8516,plain,
% 5.19/5.38 ((~(~(mult(mult(mult(a, mult(a, c)), b), b) = mult(mult(a, mult(a, c)), mult(b, b))))) <=> (mult(mult(mult(a, mult(a, c)), b), b) = mult(mult(a, mult(a, c)), mult(b, b)))),
% 5.19/5.38 inference(rewrite,[status(thm)],[])).
% 5.19/5.38 tff(8517,plain,
% 5.19/5.38 (((~(mult(mult(mult(a, mult(a, c)), b), b) = mult(mult(a, mult(a, c)), mult(b, b)))) | (~(mult(mult(mult(a, mult(a, c)), b), b) = mult(mult(a, mult(a, c)), mult(b, b))))) <=> (~(mult(mult(mult(a, mult(a, c)), b), b) = mult(mult(a, mult(a, c)), mult(b, b))))),
% 5.19/5.38 inference(rewrite,[status(thm)],[])).
% 5.19/5.38 tff(8518,plain,
% 5.19/5.38 ((~((~(mult(mult(mult(a, mult(a, c)), b), b) = mult(mult(a, mult(a, c)), mult(b, b)))) | (~(mult(mult(mult(a, mult(a, c)), b), b) = mult(mult(a, mult(a, c)), mult(b, b)))))) <=> (~(~(mult(mult(mult(a, mult(a, c)), b), b) = mult(mult(a, mult(a, c)), mult(b, b)))))),
% 5.19/5.38 inference(monotonicity,[status(thm)],[8517])).
% 5.19/5.38 tff(8519,plain,
% 5.19/5.38 ((~((~(mult(mult(mult(a, mult(a, c)), b), b) = mult(mult(a, mult(a, c)), mult(b, b)))) | (~(mult(mult(mult(a, mult(a, c)), b), b) = mult(mult(a, mult(a, c)), mult(b, b)))))) <=> (mult(mult(mult(a, mult(a, c)), b), b) = mult(mult(a, mult(a, c)), mult(b, b)))),
% 5.19/5.38 inference(transitivity,[status(thm)],[8518, 8516])).
% 5.19/5.38 tff(8520,plain,
% 5.19/5.38 (((~((~(mult(mult(mult(a, mult(a, c)), b), b) = mult(mult(a, mult(a, c)), mult(b, b)))) | (~(mult(mult(mult(a, mult(a, c)), b), b) = mult(mult(a, mult(a, c)), mult(b, b)))))) | (~((~(mult(mult(mult(a, mult(a, c)), b), b) = mult(mult(a, mult(a, c)), mult(b, b)))) | (~(mult(mult(mult(a, mult(a, c)), b), b) = mult(mult(a, mult(a, c)), mult(b, b))))))) <=> ((mult(mult(mult(a, mult(a, c)), b), b) = mult(mult(a, mult(a, c)), mult(b, b))) | (mult(mult(mult(a, mult(a, c)), b), b) = mult(mult(a, mult(a, c)), mult(b, b))))),
% 5.19/5.38 inference(monotonicity,[status(thm)],[8519, 8519])).
% 5.19/5.38 tff(8521,plain,
% 5.19/5.38 (((~((~(mult(mult(mult(a, mult(a, c)), b), b) = mult(mult(a, mult(a, c)), mult(b, b)))) | (~(mult(mult(mult(a, mult(a, c)), b), b) = mult(mult(a, mult(a, c)), mult(b, b)))))) | (~((~(mult(mult(mult(a, mult(a, c)), b), b) = mult(mult(a, mult(a, c)), mult(b, b)))) | (~(mult(mult(mult(a, mult(a, c)), b), b) = mult(mult(a, mult(a, c)), mult(b, b))))))) <=> (mult(mult(mult(a, mult(a, c)), b), b) = mult(mult(a, mult(a, c)), mult(b, b)))),
% 5.19/5.38 inference(transitivity,[status(thm)],[8520, 8515])).
% 5.19/5.38 tff(8522,plain,
% 5.19/5.38 (((~![X0: $i, X1: $i, X2: $i] : ((~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X2, X1)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X1, X2)))))) | (~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X1, X2)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X2, X1)))))))) | ((~((~(mult(mult(mult(a, mult(a, c)), b), b) = mult(mult(a, mult(a, c)), mult(b, b)))) | (~(mult(mult(mult(a, mult(a, c)), b), b) = mult(mult(a, mult(a, c)), mult(b, b)))))) | (~((~(mult(mult(mult(a, mult(a, c)), b), b) = mult(mult(a, mult(a, c)), mult(b, b)))) | (~(mult(mult(mult(a, mult(a, c)), b), b) = mult(mult(a, mult(a, c)), mult(b, b)))))))) <=> ((~![X0: $i, X1: $i, X2: $i] : ((~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X2, X1)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X1, X2)))))) | (~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X1, X2)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X2, X1)))))))) | (mult(mult(mult(a, mult(a, c)), b), b) = mult(mult(a, mult(a, c)), mult(b, b))))),
% 5.19/5.38 inference(monotonicity,[status(thm)],[8521])).
% 5.19/5.38 tff(8523,plain,
% 5.19/5.38 (((~![X0: $i, X1: $i, X2: $i] : ((~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X2, X1)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X1, X2)))))) | (~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X1, X2)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X2, X1)))))))) | ((~((~(mult(mult(mult(a, mult(a, c)), b), b) = mult(mult(a, mult(a, c)), mult(b, b)))) | (~(mult(mult(mult(a, mult(a, c)), b), b) = mult(mult(a, mult(a, c)), mult(b, b)))))) | (~((~(mult(mult(mult(a, mult(a, c)), b), b) = mult(mult(a, mult(a, c)), mult(b, b)))) | (~(mult(mult(mult(a, mult(a, c)), b), b) = mult(mult(a, mult(a, c)), mult(b, b)))))))) <=> ((~![X0: $i, X1: $i, X2: $i] : ((~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X2, X1)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X1, X2)))))) | (~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X1, X2)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X2, X1)))))))) | (mult(mult(mult(a, mult(a, c)), b), b) = mult(mult(a, mult(a, c)), mult(b, b))))),
% 5.19/5.38 inference(transitivity,[status(thm)],[8522, 8514])).
% 5.19/5.38 tff(8524,plain,
% 5.19/5.38 ((~![X0: $i, X1: $i, X2: $i] : ((~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X2, X1)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X1, X2)))))) | (~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X1, X2)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X2, X1)))))))) | ((~((~(mult(mult(mult(a, mult(a, c)), b), b) = mult(mult(a, mult(a, c)), mult(b, b)))) | (~(mult(mult(mult(a, mult(a, c)), b), b) = mult(mult(a, mult(a, c)), mult(b, b)))))) | (~((~(mult(mult(mult(a, mult(a, c)), b), b) = mult(mult(a, mult(a, c)), mult(b, b)))) | (~(mult(mult(mult(a, mult(a, c)), b), b) = mult(mult(a, mult(a, c)), mult(b, b)))))))),
% 5.19/5.38 inference(quant_inst,[status(thm)],[])).
% 5.19/5.38 tff(8525,plain,
% 5.19/5.38 ((~![X0: $i, X1: $i, X2: $i] : ((~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X2, X1)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X1, X2)))))) | (~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X1, X2)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X2, X1)))))))) | (mult(mult(mult(a, mult(a, c)), b), b) = mult(mult(a, mult(a, c)), mult(b, b)))),
% 5.19/5.38 inference(modus_ponens,[status(thm)],[8524, 8523])).
% 5.19/5.38 tff(8526,plain,
% 5.19/5.38 (mult(mult(mult(a, mult(a, c)), b), b) = mult(mult(a, mult(a, c)), mult(b, b))),
% 5.19/5.39 inference(unit_resolution,[status(thm)],[8525, 30])).
% 5.19/5.39 tff(8527,plain,
% 5.19/5.39 (mult(mult(a, mult(a, c)), mult(b, b)) = mult(mult(mult(a, mult(a, c)), b), b)),
% 5.19/5.39 inference(symmetry,[status(thm)],[8526])).
% 5.19/5.39 tff(8528,plain,
% 5.19/5.39 (mult(mult(a, c), a) = mult(a, mult(a, c))),
% 5.19/5.39 inference(transitivity,[status(thm)],[3638, 8418, 8421])).
% 5.19/5.39 tff(8529,plain,
% 5.19/5.39 (mult(mult(mult(a, c), a), mult(b, b)) = mult(mult(a, mult(a, c)), mult(b, b))),
% 5.19/5.39 inference(monotonicity,[status(thm)],[8528])).
% 5.19/5.39 tff(8530,plain,
% 5.19/5.39 (mult(mult(mult(a, c), a), mult(b, b)) = mult(mult(mult(a, c), mult(b, a)), b)),
% 5.19/5.39 inference(transitivity,[status(thm)],[8529, 8527, 8513])).
% 5.19/5.39 tff(8531,plain,
% 5.19/5.39 (mult(mult(mult(mult(a, c), a), mult(b, b)), a) = mult(mult(mult(mult(a, c), mult(b, a)), b), a)),
% 5.19/5.39 inference(monotonicity,[status(thm)],[8530])).
% 5.19/5.39 tff(8532,plain,
% 5.19/5.39 ((~![C: $i, B: $i, A: $i] : (mult(mult(mult(A, B), C), B) = mult(A, mult(mult(B, C), B)))) | (mult(mult(mult(mult(a, c), a), mult(b, b)), a) = mult(mult(a, c), mult(mult(a, mult(b, b)), a)))),
% 5.19/5.39 inference(quant_inst,[status(thm)],[])).
% 5.19/5.39 tff(8533,plain,
% 5.19/5.39 (mult(mult(mult(mult(a, c), a), mult(b, b)), a) = mult(mult(a, c), mult(mult(a, mult(b, b)), a))),
% 5.19/5.39 inference(unit_resolution,[status(thm)],[8532, 860])).
% 5.19/5.39 tff(8534,plain,
% 5.19/5.39 (mult(mult(a, c), mult(mult(a, mult(b, b)), a)) = mult(mult(mult(mult(a, c), a), mult(b, b)), a)),
% 5.19/5.39 inference(symmetry,[status(thm)],[8533])).
% 5.19/5.39 tff(8535,plain,
% 5.19/5.39 (mult(mult(a, b), b) = mult(mult(b, a), b)),
% 5.19/5.39 inference(monotonicity,[status(thm)],[8317])).
% 5.19/5.39 tff(8536,plain,
% 5.19/5.39 (((~![X0: $i, X1: $i, X2: $i] : ((~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X2, X1)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X1, X2)))))) | (~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X1, X2)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X2, X1)))))))) | (mult(mult(a, b), b) = mult(a, mult(b, b)))) <=> ((~![X0: $i, X1: $i, X2: $i] : ((~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X2, X1)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X1, X2)))))) | (~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X1, X2)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X2, X1)))))))) | (mult(mult(a, b), b) = mult(a, mult(b, b))))),
% 5.19/5.39 inference(rewrite,[status(thm)],[])).
% 5.19/5.39 tff(8537,plain,
% 5.19/5.39 (((mult(mult(a, b), b) = mult(a, mult(b, b))) | (mult(mult(a, b), b) = mult(a, mult(b, b)))) <=> (mult(mult(a, b), b) = mult(a, mult(b, b)))),
% 5.19/5.39 inference(rewrite,[status(thm)],[])).
% 5.19/5.39 tff(8538,plain,
% 5.19/5.39 ((~(~(mult(mult(a, b), b) = mult(a, mult(b, b))))) <=> (mult(mult(a, b), b) = mult(a, mult(b, b)))),
% 5.19/5.39 inference(rewrite,[status(thm)],[])).
% 5.19/5.39 tff(8539,plain,
% 5.19/5.39 (((~(mult(mult(a, b), b) = mult(a, mult(b, b)))) | (~(mult(mult(a, b), b) = mult(a, mult(b, b))))) <=> (~(mult(mult(a, b), b) = mult(a, mult(b, b))))),
% 5.19/5.39 inference(rewrite,[status(thm)],[])).
% 5.19/5.39 tff(8540,plain,
% 5.19/5.39 ((~((~(mult(mult(a, b), b) = mult(a, mult(b, b)))) | (~(mult(mult(a, b), b) = mult(a, mult(b, b)))))) <=> (~(~(mult(mult(a, b), b) = mult(a, mult(b, b)))))),
% 5.19/5.39 inference(monotonicity,[status(thm)],[8539])).
% 5.19/5.39 tff(8541,plain,
% 5.19/5.39 ((~((~(mult(mult(a, b), b) = mult(a, mult(b, b)))) | (~(mult(mult(a, b), b) = mult(a, mult(b, b)))))) <=> (mult(mult(a, b), b) = mult(a, mult(b, b)))),
% 5.19/5.39 inference(transitivity,[status(thm)],[8540, 8538])).
% 5.19/5.39 tff(8542,plain,
% 5.19/5.39 (((~((~(mult(mult(a, b), b) = mult(a, mult(b, b)))) | (~(mult(mult(a, b), b) = mult(a, mult(b, b)))))) | (~((~(mult(mult(a, b), b) = mult(a, mult(b, b)))) | (~(mult(mult(a, b), b) = mult(a, mult(b, b))))))) <=> ((mult(mult(a, b), b) = mult(a, mult(b, b))) | (mult(mult(a, b), b) = mult(a, mult(b, b))))),
% 5.19/5.39 inference(monotonicity,[status(thm)],[8541, 8541])).
% 5.19/5.39 tff(8543,plain,
% 5.19/5.39 (((~((~(mult(mult(a, b), b) = mult(a, mult(b, b)))) | (~(mult(mult(a, b), b) = mult(a, mult(b, b)))))) | (~((~(mult(mult(a, b), b) = mult(a, mult(b, b)))) | (~(mult(mult(a, b), b) = mult(a, mult(b, b))))))) <=> (mult(mult(a, b), b) = mult(a, mult(b, b)))),
% 5.19/5.39 inference(transitivity,[status(thm)],[8542, 8537])).
% 5.19/5.39 tff(8544,plain,
% 5.19/5.39 (((~![X0: $i, X1: $i, X2: $i] : ((~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X2, X1)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X1, X2)))))) | (~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X1, X2)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X2, X1)))))))) | ((~((~(mult(mult(a, b), b) = mult(a, mult(b, b)))) | (~(mult(mult(a, b), b) = mult(a, mult(b, b)))))) | (~((~(mult(mult(a, b), b) = mult(a, mult(b, b)))) | (~(mult(mult(a, b), b) = mult(a, mult(b, b)))))))) <=> ((~![X0: $i, X1: $i, X2: $i] : ((~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X2, X1)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X1, X2)))))) | (~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X1, X2)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X2, X1)))))))) | (mult(mult(a, b), b) = mult(a, mult(b, b))))),
% 5.19/5.39 inference(monotonicity,[status(thm)],[8543])).
% 5.19/5.39 tff(8545,plain,
% 5.19/5.39 (((~![X0: $i, X1: $i, X2: $i] : ((~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X2, X1)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X1, X2)))))) | (~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X1, X2)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X2, X1)))))))) | ((~((~(mult(mult(a, b), b) = mult(a, mult(b, b)))) | (~(mult(mult(a, b), b) = mult(a, mult(b, b)))))) | (~((~(mult(mult(a, b), b) = mult(a, mult(b, b)))) | (~(mult(mult(a, b), b) = mult(a, mult(b, b)))))))) <=> ((~![X0: $i, X1: $i, X2: $i] : ((~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X2, X1)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X1, X2)))))) | (~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X1, X2)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X2, X1)))))))) | (mult(mult(a, b), b) = mult(a, mult(b, b))))),
% 5.19/5.39 inference(transitivity,[status(thm)],[8544, 8536])).
% 5.19/5.39 tff(8546,plain,
% 5.19/5.39 ((~![X0: $i, X1: $i, X2: $i] : ((~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X2, X1)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X1, X2)))))) | (~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X1, X2)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X2, X1)))))))) | ((~((~(mult(mult(a, b), b) = mult(a, mult(b, b)))) | (~(mult(mult(a, b), b) = mult(a, mult(b, b)))))) | (~((~(mult(mult(a, b), b) = mult(a, mult(b, b)))) | (~(mult(mult(a, b), b) = mult(a, mult(b, b)))))))),
% 5.19/5.39 inference(quant_inst,[status(thm)],[])).
% 5.19/5.39 tff(8547,plain,
% 5.19/5.39 ((~![X0: $i, X1: $i, X2: $i] : ((~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X2, X1)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X1, X2)))))) | (~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X1, X2)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X2, X1)))))))) | (mult(mult(a, b), b) = mult(a, mult(b, b)))),
% 5.19/5.39 inference(modus_ponens,[status(thm)],[8546, 8545])).
% 5.19/5.39 tff(8548,plain,
% 5.19/5.39 (mult(mult(a, b), b) = mult(a, mult(b, b))),
% 5.19/5.39 inference(unit_resolution,[status(thm)],[8547, 30])).
% 5.19/5.39 tff(8549,plain,
% 5.19/5.39 (mult(a, mult(b, b)) = mult(mult(a, b), b)),
% 5.19/5.39 inference(symmetry,[status(thm)],[8548])).
% 5.19/5.39 tff(8550,plain,
% 5.19/5.39 (mult(a, mult(b, b)) = mult(mult(b, a), b)),
% 5.19/5.39 inference(transitivity,[status(thm)],[8549, 8535])).
% 5.19/5.39 tff(8551,plain,
% 5.19/5.39 (mult(mult(a, mult(b, b)), a) = mult(mult(mult(b, a), b), a)),
% 5.19/5.39 inference(monotonicity,[status(thm)],[8550])).
% 5.19/5.39 tff(8552,plain,
% 5.19/5.39 (mult(mult(mult(b, a), b), a) = mult(mult(a, mult(b, b)), a)),
% 5.19/5.39 inference(symmetry,[status(thm)],[8551])).
% 5.19/5.39 tff(8553,plain,
% 5.19/5.39 (mult(mult(a, c), mult(mult(mult(b, a), b), a)) = mult(mult(a, c), mult(mult(a, mult(b, b)), a))),
% 5.19/5.39 inference(monotonicity,[status(thm)],[8552])).
% 5.19/5.39 tff(8554,plain,
% 5.19/5.39 ((~![B: $i, A: $i] : (ld(A, mult(A, B)) = B)) | (ld(mult(a, c), mult(mult(a, c), mult(mult(mult(b, a), b), a))) = mult(mult(mult(b, a), b), a))),
% 5.19/5.39 inference(quant_inst,[status(thm)],[])).
% 5.19/5.39 tff(8555,plain,
% 5.19/5.39 (ld(mult(a, c), mult(mult(a, c), mult(mult(mult(b, a), b), a))) = mult(mult(mult(b, a), b), a)),
% 5.19/5.39 inference(unit_resolution,[status(thm)],[8554, 9])).
% 5.19/5.39 tff(8556,plain,
% 5.19/5.39 (mult(mult(a, c), mult(mult(a, mult(b, b)), a)) = mult(mult(a, c), mult(mult(mult(b, a), b), a))),
% 5.19/5.39 inference(symmetry,[status(thm)],[8553])).
% 5.19/5.39 tff(8557,plain,
% 5.19/5.39 (mult(mult(mult(mult(a, c), mult(b, a)), b), a) = mult(mult(mult(mult(a, c), a), mult(b, b)), a)),
% 5.19/5.39 inference(symmetry,[status(thm)],[8531])).
% 5.19/5.39 tff(8558,plain,
% 5.19/5.39 (mult(mult(mult(mult(mult(a, c), b), a), b), a) = mult(mult(mult(mult(a, c), mult(b, a)), b), a)),
% 5.19/5.39 inference(symmetry,[status(thm)],[8510])).
% 5.19/5.39 tff(8559,plain,
% 5.19/5.39 (mult(mult(mult(a, c), b), mult(mult(a, b), a)) = mult(mult(mult(mult(mult(a, c), b), a), b), a)),
% 5.19/5.39 inference(symmetry,[status(thm)],[8507])).
% 5.19/5.39 tff(8560,plain,
% 5.19/5.39 (mult(mult(mult(c, a), b), mult(mult(b, a), a)) = mult(mult(mult(a, c), b), mult(mult(a, b), a))),
% 5.19/5.39 inference(symmetry,[status(thm)],[8505])).
% 5.19/5.39 tff(8561,plain,
% 5.19/5.39 (((~![X0: $i, X1: $i, X2: $i] : ((~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X2, X1)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X1, X2)))))) | (~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X1, X2)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X2, X1)))))))) | (mult(mult(mult(a, c), mult(b, a)), mult(b, a)) = mult(mult(a, c), mult(mult(b, a), mult(b, a))))) <=> ((~![X0: $i, X1: $i, X2: $i] : ((~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X2, X1)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X1, X2)))))) | (~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X1, X2)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X2, X1)))))))) | (mult(mult(mult(a, c), mult(b, a)), mult(b, a)) = mult(mult(a, c), mult(mult(b, a), mult(b, a)))))),
% 5.19/5.39 inference(rewrite,[status(thm)],[])).
% 5.19/5.39 tff(8562,plain,
% 5.19/5.39 (((mult(mult(mult(a, c), mult(b, a)), mult(b, a)) = mult(mult(a, c), mult(mult(b, a), mult(b, a)))) | (mult(mult(mult(a, c), mult(b, a)), mult(b, a)) = mult(mult(a, c), mult(mult(b, a), mult(b, a))))) <=> (mult(mult(mult(a, c), mult(b, a)), mult(b, a)) = mult(mult(a, c), mult(mult(b, a), mult(b, a))))),
% 5.19/5.39 inference(rewrite,[status(thm)],[])).
% 5.19/5.39 tff(8563,plain,
% 5.19/5.39 ((~(~(mult(mult(mult(a, c), mult(b, a)), mult(b, a)) = mult(mult(a, c), mult(mult(b, a), mult(b, a)))))) <=> (mult(mult(mult(a, c), mult(b, a)), mult(b, a)) = mult(mult(a, c), mult(mult(b, a), mult(b, a))))),
% 5.19/5.39 inference(rewrite,[status(thm)],[])).
% 5.19/5.39 tff(8564,plain,
% 5.19/5.39 (((~(mult(mult(mult(a, c), mult(b, a)), mult(b, a)) = mult(mult(a, c), mult(mult(b, a), mult(b, a))))) | (~(mult(mult(mult(a, c), mult(b, a)), mult(b, a)) = mult(mult(a, c), mult(mult(b, a), mult(b, a)))))) <=> (~(mult(mult(mult(a, c), mult(b, a)), mult(b, a)) = mult(mult(a, c), mult(mult(b, a), mult(b, a)))))),
% 5.19/5.39 inference(rewrite,[status(thm)],[])).
% 5.19/5.39 tff(8565,plain,
% 5.19/5.39 ((~((~(mult(mult(mult(a, c), mult(b, a)), mult(b, a)) = mult(mult(a, c), mult(mult(b, a), mult(b, a))))) | (~(mult(mult(mult(a, c), mult(b, a)), mult(b, a)) = mult(mult(a, c), mult(mult(b, a), mult(b, a))))))) <=> (~(~(mult(mult(mult(a, c), mult(b, a)), mult(b, a)) = mult(mult(a, c), mult(mult(b, a), mult(b, a))))))),
% 5.19/5.39 inference(monotonicity,[status(thm)],[8564])).
% 5.19/5.39 tff(8566,plain,
% 5.19/5.39 ((~((~(mult(mult(mult(a, c), mult(b, a)), mult(b, a)) = mult(mult(a, c), mult(mult(b, a), mult(b, a))))) | (~(mult(mult(mult(a, c), mult(b, a)), mult(b, a)) = mult(mult(a, c), mult(mult(b, a), mult(b, a))))))) <=> (mult(mult(mult(a, c), mult(b, a)), mult(b, a)) = mult(mult(a, c), mult(mult(b, a), mult(b, a))))),
% 5.19/5.39 inference(transitivity,[status(thm)],[8565, 8563])).
% 5.19/5.39 tff(8567,plain,
% 5.19/5.39 (((~((~(mult(mult(mult(a, c), mult(b, a)), mult(b, a)) = mult(mult(a, c), mult(mult(b, a), mult(b, a))))) | (~(mult(mult(mult(a, c), mult(b, a)), mult(b, a)) = mult(mult(a, c), mult(mult(b, a), mult(b, a))))))) | (~((~(mult(mult(mult(a, c), mult(b, a)), mult(b, a)) = mult(mult(a, c), mult(mult(b, a), mult(b, a))))) | (~(mult(mult(mult(a, c), mult(b, a)), mult(b, a)) = mult(mult(a, c), mult(mult(b, a), mult(b, a)))))))) <=> ((mult(mult(mult(a, c), mult(b, a)), mult(b, a)) = mult(mult(a, c), mult(mult(b, a), mult(b, a)))) | (mult(mult(mult(a, c), mult(b, a)), mult(b, a)) = mult(mult(a, c), mult(mult(b, a), mult(b, a)))))),
% 5.19/5.39 inference(monotonicity,[status(thm)],[8566, 8566])).
% 5.19/5.39 tff(8568,plain,
% 5.19/5.39 (((~((~(mult(mult(mult(a, c), mult(b, a)), mult(b, a)) = mult(mult(a, c), mult(mult(b, a), mult(b, a))))) | (~(mult(mult(mult(a, c), mult(b, a)), mult(b, a)) = mult(mult(a, c), mult(mult(b, a), mult(b, a))))))) | (~((~(mult(mult(mult(a, c), mult(b, a)), mult(b, a)) = mult(mult(a, c), mult(mult(b, a), mult(b, a))))) | (~(mult(mult(mult(a, c), mult(b, a)), mult(b, a)) = mult(mult(a, c), mult(mult(b, a), mult(b, a)))))))) <=> (mult(mult(mult(a, c), mult(b, a)), mult(b, a)) = mult(mult(a, c), mult(mult(b, a), mult(b, a))))),
% 5.19/5.39 inference(transitivity,[status(thm)],[8567, 8562])).
% 5.19/5.39 tff(8569,plain,
% 5.19/5.39 (((~![X0: $i, X1: $i, X2: $i] : ((~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X2, X1)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X1, X2)))))) | (~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X1, X2)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X2, X1)))))))) | ((~((~(mult(mult(mult(a, c), mult(b, a)), mult(b, a)) = mult(mult(a, c), mult(mult(b, a), mult(b, a))))) | (~(mult(mult(mult(a, c), mult(b, a)), mult(b, a)) = mult(mult(a, c), mult(mult(b, a), mult(b, a))))))) | (~((~(mult(mult(mult(a, c), mult(b, a)), mult(b, a)) = mult(mult(a, c), mult(mult(b, a), mult(b, a))))) | (~(mult(mult(mult(a, c), mult(b, a)), mult(b, a)) = mult(mult(a, c), mult(mult(b, a), mult(b, a))))))))) <=> ((~![X0: $i, X1: $i, X2: $i] : ((~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X2, X1)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X1, X2)))))) | (~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X1, X2)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X2, X1)))))))) | (mult(mult(mult(a, c), mult(b, a)), mult(b, a)) = mult(mult(a, c), mult(mult(b, a), mult(b, a)))))),
% 5.19/5.39 inference(monotonicity,[status(thm)],[8568])).
% 5.19/5.39 tff(8570,plain,
% 5.19/5.39 (((~![X0: $i, X1: $i, X2: $i] : ((~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X2, X1)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X1, X2)))))) | (~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X1, X2)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X2, X1)))))))) | ((~((~(mult(mult(mult(a, c), mult(b, a)), mult(b, a)) = mult(mult(a, c), mult(mult(b, a), mult(b, a))))) | (~(mult(mult(mult(a, c), mult(b, a)), mult(b, a)) = mult(mult(a, c), mult(mult(b, a), mult(b, a))))))) | (~((~(mult(mult(mult(a, c), mult(b, a)), mult(b, a)) = mult(mult(a, c), mult(mult(b, a), mult(b, a))))) | (~(mult(mult(mult(a, c), mult(b, a)), mult(b, a)) = mult(mult(a, c), mult(mult(b, a), mult(b, a))))))))) <=> ((~![X0: $i, X1: $i, X2: $i] : ((~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X2, X1)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X1, X2)))))) | (~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X1, X2)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X2, X1)))))))) | (mult(mult(mult(a, c), mult(b, a)), mult(b, a)) = mult(mult(a, c), mult(mult(b, a), mult(b, a)))))),
% 5.19/5.39 inference(transitivity,[status(thm)],[8569, 8561])).
% 5.19/5.39 tff(8571,plain,
% 5.19/5.39 ((~![X0: $i, X1: $i, X2: $i] : ((~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X2, X1)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X1, X2)))))) | (~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X1, X2)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X2, X1)))))))) | ((~((~(mult(mult(mult(a, c), mult(b, a)), mult(b, a)) = mult(mult(a, c), mult(mult(b, a), mult(b, a))))) | (~(mult(mult(mult(a, c), mult(b, a)), mult(b, a)) = mult(mult(a, c), mult(mult(b, a), mult(b, a))))))) | (~((~(mult(mult(mult(a, c), mult(b, a)), mult(b, a)) = mult(mult(a, c), mult(mult(b, a), mult(b, a))))) | (~(mult(mult(mult(a, c), mult(b, a)), mult(b, a)) = mult(mult(a, c), mult(mult(b, a), mult(b, a))))))))),
% 5.19/5.39 inference(quant_inst,[status(thm)],[])).
% 5.19/5.39 tff(8572,plain,
% 5.19/5.39 ((~![X0: $i, X1: $i, X2: $i] : ((~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X2, X1)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X1, X2)))))) | (~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X1, X2)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X2, X1)))))))) | (mult(mult(mult(a, c), mult(b, a)), mult(b, a)) = mult(mult(a, c), mult(mult(b, a), mult(b, a))))),
% 5.19/5.39 inference(modus_ponens,[status(thm)],[8571, 8570])).
% 5.19/5.39 tff(8573,plain,
% 5.19/5.39 (mult(mult(mult(a, c), mult(b, a)), mult(b, a)) = mult(mult(a, c), mult(mult(b, a), mult(b, a)))),
% 5.19/5.39 inference(unit_resolution,[status(thm)],[8572, 30])).
% 5.19/5.39 tff(8574,plain,
% 5.19/5.39 (mult(mult(a, c), mult(mult(b, a), mult(b, a))) = mult(mult(mult(a, c), mult(b, a)), mult(b, a))),
% 5.19/5.39 inference(symmetry,[status(thm)],[8573])).
% 5.19/5.39 tff(8575,plain,
% 5.19/5.39 (mult(mult(a, c), mult(mult(b, a), mult(b, a))) = mult(mult(a, c), mult(mult(mult(b, a), b), a))),
% 5.19/5.40 inference(transitivity,[status(thm)],[8574, 8470, 8472, 8498, 8478, 8502, 8560, 8559, 8558, 8557, 8533, 8556])).
% 5.19/5.40 tff(8576,plain,
% 5.19/5.40 (ld(mult(a, c), mult(mult(a, c), mult(mult(b, a), mult(b, a)))) = ld(mult(a, c), mult(mult(a, c), mult(mult(mult(b, a), b), a)))),
% 5.19/5.40 inference(monotonicity,[status(thm)],[8575])).
% 5.19/5.40 tff(8577,plain,
% 5.19/5.40 ((~![B: $i, A: $i] : (ld(A, mult(A, B)) = B)) | (ld(mult(a, c), mult(mult(a, c), mult(mult(b, a), mult(b, a)))) = mult(mult(b, a), mult(b, a)))),
% 5.19/5.40 inference(quant_inst,[status(thm)],[])).
% 5.19/5.40 tff(8578,plain,
% 5.19/5.40 (ld(mult(a, c), mult(mult(a, c), mult(mult(b, a), mult(b, a)))) = mult(mult(b, a), mult(b, a))),
% 5.19/5.40 inference(unit_resolution,[status(thm)],[8577, 9])).
% 5.19/5.40 tff(8579,plain,
% 5.19/5.40 (mult(mult(b, a), mult(b, a)) = ld(mult(a, c), mult(mult(a, c), mult(mult(b, a), mult(b, a))))),
% 5.19/5.40 inference(symmetry,[status(thm)],[8578])).
% 5.19/5.40 tff(8580,plain,
% 5.19/5.40 ((~![B: $i, A: $i] : (ld(A, mult(A, B)) = B)) | (ld(c, mult(c, mult(mult(b, a), mult(b, a)))) = mult(mult(b, a), mult(b, a)))),
% 5.19/5.40 inference(quant_inst,[status(thm)],[])).
% 5.19/5.40 tff(8581,plain,
% 5.19/5.40 (ld(c, mult(c, mult(mult(b, a), mult(b, a)))) = mult(mult(b, a), mult(b, a))),
% 5.19/5.40 inference(unit_resolution,[status(thm)],[8580, 9])).
% 5.19/5.40 tff(8582,plain,
% 5.19/5.40 (mult(a, mult(mult(c, b), a)) = mult(a, mult(mult(a, c), b))),
% 5.19/5.40 inference(transitivity,[status(thm)],[8206, 8455, 4657, 3530, 8373, 8156])).
% 5.19/5.40 tff(8583,plain,
% 5.19/5.40 (ld(a, mult(a, mult(mult(c, b), a))) = ld(a, mult(a, mult(mult(a, c), b)))),
% 5.19/5.40 inference(monotonicity,[status(thm)],[8582])).
% 5.19/5.40 tff(8584,plain,
% 5.19/5.40 (mult(c, mult(a, b)) = mult(mult(c, b), a)),
% 5.19/5.40 inference(symmetry,[status(thm)],[8177])).
% 5.19/5.40 tff(8585,plain,
% 5.19/5.40 (mult(c, mult(b, a)) = mult(c, mult(a, b))),
% 5.19/5.40 inference(monotonicity,[status(thm)],[8308])).
% 5.19/5.40 tff(8586,plain,
% 5.19/5.40 (mult(c, mult(b, a)) = mult(mult(a, c), b)),
% 5.19/5.40 inference(transitivity,[status(thm)],[8585, 8584, 713, 8583, 2212])).
% 5.19/5.40 tff(8587,plain,
% 5.19/5.40 (mult(mult(c, mult(b, a)), mult(b, a)) = mult(mult(mult(a, c), b), mult(b, a))),
% 5.19/5.40 inference(monotonicity,[status(thm)],[8586])).
% 5.19/5.40 tff(8588,plain,
% 5.19/5.40 (mult(mult(mult(a, c), b), mult(b, a)) = mult(mult(c, mult(b, a)), mult(b, a))),
% 5.19/5.40 inference(symmetry,[status(thm)],[8587])).
% 5.19/5.40 tff(8589,plain,
% 5.19/5.40 ((mult(mult(a, c), mult(mult(b, a), b)) = mult(mult(mult(a, c), mult(b, a)), b)) <=> (mult(mult(mult(a, c), mult(b, a)), b) = mult(mult(a, c), mult(mult(b, a), b)))),
% 5.19/5.40 inference(commutativity,[status(thm)],[])).
% 5.19/5.40 tff(8590,assumption,(~(mult(mult(mult(a, c), b), mult(b, a)) = mult(mult(a, c), mult(b, mult(b, a))))), introduced(assumption)).
% 5.19/5.40 tff(8591,plain,
% 5.19/5.40 (((~(mult(mult(mult(a, c), b), mult(b, a)) = mult(mult(a, c), mult(b, mult(b, a))))) | (~(mult(mult(mult(a, c), mult(b, a)), b) = mult(mult(a, c), mult(mult(b, a), b))))) | (mult(mult(mult(a, c), b), mult(b, a)) = mult(mult(a, c), mult(b, mult(b, a))))),
% 5.19/5.40 inference(tautology,[status(thm)],[])).
% 5.19/5.40 tff(8592,plain,
% 5.19/5.40 ((~(mult(mult(mult(a, c), b), mult(b, a)) = mult(mult(a, c), mult(b, mult(b, a))))) | (~(mult(mult(mult(a, c), mult(b, a)), b) = mult(mult(a, c), mult(mult(b, a), b))))),
% 5.19/5.40 inference(unit_resolution,[status(thm)],[8591, 8590])).
% 5.19/5.40 tff(8593,plain,
% 5.19/5.40 (((~![X0: $i, X1: $i, X2: $i] : ((~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X2, X1)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X1, X2)))))) | (~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X1, X2)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X2, X1)))))))) | ((~((~(mult(mult(mult(a, c), b), mult(b, a)) = mult(mult(a, c), mult(b, mult(b, a))))) | (~(mult(mult(mult(a, c), mult(b, a)), b) = mult(mult(a, c), mult(mult(b, a), b)))))) | (~((~(mult(mult(mult(a, c), b), mult(b, a)) = mult(mult(a, c), mult(mult(b, a), b)))) | (~(mult(mult(mult(a, c), mult(b, a)), b) = mult(mult(a, c), mult(b, mult(b, a))))))))) <=> ((~![X0: $i, X1: $i, X2: $i] : ((~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X2, X1)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X1, X2)))))) | (~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X1, X2)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X2, X1)))))))) | (~((~(mult(mult(mult(a, c), b), mult(b, a)) = mult(mult(a, c), mult(b, mult(b, a))))) | (~(mult(mult(mult(a, c), mult(b, a)), b) = mult(mult(a, c), mult(mult(b, a), b)))))) | (~((~(mult(mult(mult(a, c), b), mult(b, a)) = mult(mult(a, c), mult(mult(b, a), b)))) | (~(mult(mult(mult(a, c), mult(b, a)), b) = mult(mult(a, c), mult(b, mult(b, a))))))))),
% 5.19/5.40 inference(rewrite,[status(thm)],[])).
% 5.19/5.40 tff(8594,plain,
% 5.19/5.40 (((~((~(mult(mult(mult(a, c), b), mult(b, a)) = mult(mult(a, c), mult(mult(b, a), b)))) | (~(mult(mult(mult(a, c), mult(b, a)), b) = mult(mult(a, c), mult(b, mult(b, a))))))) | (~((~(mult(mult(mult(a, c), b), mult(b, a)) = mult(mult(a, c), mult(b, mult(b, a))))) | (~(mult(mult(mult(a, c), mult(b, a)), b) = mult(mult(a, c), mult(mult(b, a), b))))))) <=> ((~((~(mult(mult(mult(a, c), b), mult(b, a)) = mult(mult(a, c), mult(b, mult(b, a))))) | (~(mult(mult(mult(a, c), mult(b, a)), b) = mult(mult(a, c), mult(mult(b, a), b)))))) | (~((~(mult(mult(mult(a, c), b), mult(b, a)) = mult(mult(a, c), mult(mult(b, a), b)))) | (~(mult(mult(mult(a, c), mult(b, a)), b) = mult(mult(a, c), mult(b, mult(b, a))))))))),
% 5.19/5.40 inference(rewrite,[status(thm)],[])).
% 5.19/5.40 tff(8595,plain,
% 5.19/5.40 (((~![X0: $i, X1: $i, X2: $i] : ((~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X2, X1)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X1, X2)))))) | (~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X1, X2)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X2, X1)))))))) | ((~((~(mult(mult(mult(a, c), b), mult(b, a)) = mult(mult(a, c), mult(mult(b, a), b)))) | (~(mult(mult(mult(a, c), mult(b, a)), b) = mult(mult(a, c), mult(b, mult(b, a))))))) | (~((~(mult(mult(mult(a, c), b), mult(b, a)) = mult(mult(a, c), mult(b, mult(b, a))))) | (~(mult(mult(mult(a, c), mult(b, a)), b) = mult(mult(a, c), mult(mult(b, a), b)))))))) <=> ((~![X0: $i, X1: $i, X2: $i] : ((~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X2, X1)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X1, X2)))))) | (~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X1, X2)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X2, X1)))))))) | ((~((~(mult(mult(mult(a, c), b), mult(b, a)) = mult(mult(a, c), mult(b, mult(b, a))))) | (~(mult(mult(mult(a, c), mult(b, a)), b) = mult(mult(a, c), mult(mult(b, a), b)))))) | (~((~(mult(mult(mult(a, c), b), mult(b, a)) = mult(mult(a, c), mult(mult(b, a), b)))) | (~(mult(mult(mult(a, c), mult(b, a)), b) = mult(mult(a, c), mult(b, mult(b, a)))))))))),
% 5.19/5.40 inference(monotonicity,[status(thm)],[8594])).
% 5.19/5.40 tff(8596,plain,
% 5.19/5.40 (((~![X0: $i, X1: $i, X2: $i] : ((~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X2, X1)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X1, X2)))))) | (~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X1, X2)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X2, X1)))))))) | ((~((~(mult(mult(mult(a, c), b), mult(b, a)) = mult(mult(a, c), mult(mult(b, a), b)))) | (~(mult(mult(mult(a, c), mult(b, a)), b) = mult(mult(a, c), mult(b, mult(b, a))))))) | (~((~(mult(mult(mult(a, c), b), mult(b, a)) = mult(mult(a, c), mult(b, mult(b, a))))) | (~(mult(mult(mult(a, c), mult(b, a)), b) = mult(mult(a, c), mult(mult(b, a), b)))))))) <=> ((~![X0: $i, X1: $i, X2: $i] : ((~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X2, X1)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X1, X2)))))) | (~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X1, X2)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X2, X1)))))))) | (~((~(mult(mult(mult(a, c), b), mult(b, a)) = mult(mult(a, c), mult(b, mult(b, a))))) | (~(mult(mult(mult(a, c), mult(b, a)), b) = mult(mult(a, c), mult(mult(b, a), b)))))) | (~((~(mult(mult(mult(a, c), b), mult(b, a)) = mult(mult(a, c), mult(mult(b, a), b)))) | (~(mult(mult(mult(a, c), mult(b, a)), b) = mult(mult(a, c), mult(b, mult(b, a))))))))),
% 5.19/5.40 inference(transitivity,[status(thm)],[8595, 8593])).
% 5.19/5.40 tff(8597,plain,
% 5.19/5.40 ((~![X0: $i, X1: $i, X2: $i] : ((~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X2, X1)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X1, X2)))))) | (~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X1, X2)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X2, X1)))))))) | ((~((~(mult(mult(mult(a, c), b), mult(b, a)) = mult(mult(a, c), mult(mult(b, a), b)))) | (~(mult(mult(mult(a, c), mult(b, a)), b) = mult(mult(a, c), mult(b, mult(b, a))))))) | (~((~(mult(mult(mult(a, c), b), mult(b, a)) = mult(mult(a, c), mult(b, mult(b, a))))) | (~(mult(mult(mult(a, c), mult(b, a)), b) = mult(mult(a, c), mult(mult(b, a), b)))))))),
% 5.19/5.40 inference(quant_inst,[status(thm)],[])).
% 5.19/5.40 tff(8598,plain,
% 5.19/5.40 ((~![X0: $i, X1: $i, X2: $i] : ((~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X2, X1)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X1, X2)))))) | (~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X1, X2)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X2, X1)))))))) | (~((~(mult(mult(mult(a, c), b), mult(b, a)) = mult(mult(a, c), mult(b, mult(b, a))))) | (~(mult(mult(mult(a, c), mult(b, a)), b) = mult(mult(a, c), mult(mult(b, a), b)))))) | (~((~(mult(mult(mult(a, c), b), mult(b, a)) = mult(mult(a, c), mult(mult(b, a), b)))) | (~(mult(mult(mult(a, c), mult(b, a)), b) = mult(mult(a, c), mult(b, mult(b, a)))))))),
% 5.19/5.40 inference(modus_ponens,[status(thm)],[8597, 8596])).
% 5.19/5.40 tff(8599,plain,
% 5.19/5.40 ((~((~(mult(mult(mult(a, c), b), mult(b, a)) = mult(mult(a, c), mult(b, mult(b, a))))) | (~(mult(mult(mult(a, c), mult(b, a)), b) = mult(mult(a, c), mult(mult(b, a), b)))))) | (~((~(mult(mult(mult(a, c), b), mult(b, a)) = mult(mult(a, c), mult(mult(b, a), b)))) | (~(mult(mult(mult(a, c), mult(b, a)), b) = mult(mult(a, c), mult(b, mult(b, a)))))))),
% 5.19/5.40 inference(unit_resolution,[status(thm)],[8598, 30])).
% 5.19/5.40 tff(8600,plain,
% 5.19/5.40 (~((~(mult(mult(mult(a, c), b), mult(b, a)) = mult(mult(a, c), mult(mult(b, a), b)))) | (~(mult(mult(mult(a, c), mult(b, a)), b) = mult(mult(a, c), mult(b, mult(b, a))))))),
% 5.19/5.40 inference(unit_resolution,[status(thm)],[8599, 8592])).
% 5.19/5.40 tff(8601,plain,
% 5.19/5.40 (((~(mult(mult(mult(a, c), b), mult(b, a)) = mult(mult(a, c), mult(mult(b, a), b)))) | (~(mult(mult(mult(a, c), mult(b, a)), b) = mult(mult(a, c), mult(b, mult(b, a)))))) | (mult(mult(mult(a, c), mult(b, a)), b) = mult(mult(a, c), mult(b, mult(b, a))))),
% 5.19/5.40 inference(tautology,[status(thm)],[])).
% 5.19/5.40 tff(8602,plain,
% 5.19/5.40 (mult(mult(mult(a, c), mult(b, a)), b) = mult(mult(a, c), mult(b, mult(b, a)))),
% 5.19/5.40 inference(unit_resolution,[status(thm)],[8601, 8600])).
% 5.19/5.40 tff(8603,plain,
% 5.19/5.40 (mult(mult(a, c), mult(b, mult(b, a))) = mult(mult(mult(a, c), mult(b, a)), b)),
% 5.19/5.40 inference(symmetry,[status(thm)],[8602])).
% 5.19/5.40 tff(8604,plain,
% 5.19/5.40 (((~(mult(mult(mult(a, c), b), mult(b, a)) = mult(mult(a, c), mult(mult(b, a), b)))) | (~(mult(mult(mult(a, c), mult(b, a)), b) = mult(mult(a, c), mult(b, mult(b, a)))))) | (mult(mult(mult(a, c), b), mult(b, a)) = mult(mult(a, c), mult(mult(b, a), b)))),
% 5.19/5.40 inference(tautology,[status(thm)],[])).
% 5.19/5.40 tff(8605,plain,
% 5.19/5.40 (mult(mult(mult(a, c), b), mult(b, a)) = mult(mult(a, c), mult(mult(b, a), b))),
% 5.19/5.40 inference(unit_resolution,[status(thm)],[8604, 8600])).
% 5.19/5.40 tff(8606,plain,
% 5.19/5.40 ((mult(mult(mult(a, c), b), mult(b, a)) = mult(mult(a, c), mult(b, mult(b, a)))) <=> (mult(mult(a, c), mult(mult(b, a), b)) = mult(mult(mult(a, c), mult(b, a)), b))),
% 5.19/5.40 inference(monotonicity,[status(thm)],[8605, 8603])).
% 5.19/5.40 tff(8607,plain,
% 5.19/5.40 ((mult(mult(mult(a, c), b), mult(b, a)) = mult(mult(a, c), mult(b, mult(b, a)))) <=> (mult(mult(mult(a, c), mult(b, a)), b) = mult(mult(a, c), mult(mult(b, a), b)))),
% 5.19/5.40 inference(transitivity,[status(thm)],[8606, 8589])).
% 5.19/5.40 tff(8608,plain,
% 5.19/5.40 ((mult(mult(mult(a, c), mult(b, a)), b) = mult(mult(a, c), mult(mult(b, a), b))) <=> (mult(mult(mult(a, c), b), mult(b, a)) = mult(mult(a, c), mult(b, mult(b, a))))),
% 5.19/5.40 inference(symmetry,[status(thm)],[8607])).
% 5.19/5.40 tff(8609,plain,
% 5.19/5.40 (mult(mult(mult(a, c), b), mult(b, a)) = mult(mult(a, c), mult(b, mult(b, a)))),
% 5.19/5.40 inference(modus_ponens,[status(thm)],[3578, 8608])).
% 5.19/5.40 tff(8610,plain,
% 5.19/5.40 ($false),
% 5.19/5.40 inference(unit_resolution,[status(thm)],[8590, 8609])).
% 5.19/5.40 tff(8611,plain,((mult(mult(mult(a, c), b), mult(b, a)) = mult(mult(a, c), mult(b, mult(b, a)))) | (~(mult(mult(mult(a, c), mult(b, a)), b) = mult(mult(a, c), mult(mult(b, a), b))))), inference(lemma,lemma(discharge,[]))).
% 5.19/5.40 tff(8612,plain,
% 5.19/5.40 (mult(mult(mult(a, c), b), mult(b, a)) = mult(mult(a, c), mult(b, mult(b, a)))),
% 5.19/5.40 inference(unit_resolution,[status(thm)],[8611, 8192])).
% 5.19/5.40 tff(8613,plain,
% 5.19/5.40 (mult(mult(a, c), mult(b, mult(b, a))) = mult(mult(mult(a, c), b), mult(b, a))),
% 5.19/5.40 inference(symmetry,[status(thm)],[8612])).
% 5.19/5.40 tff(8614,plain,
% 5.19/5.40 ((~![B: $i, A: $i] : (rd(mult(A, B), B) = A)) | (rd(mult(mult(mult(a, c), mult(b, mult(b, a))), a), a) = mult(mult(a, c), mult(b, mult(b, a))))),
% 5.19/5.40 inference(quant_inst,[status(thm)],[])).
% 5.19/5.40 tff(8615,plain,
% 5.19/5.40 (rd(mult(mult(mult(a, c), mult(b, mult(b, a))), a), a) = mult(mult(a, c), mult(b, mult(b, a)))),
% 5.19/5.40 inference(unit_resolution,[status(thm)],[8614, 72])).
% 5.19/5.40 tff(8616,plain,
% 5.19/5.40 (mult(mult(mult(a, c), mult(mult(b, a), b)), a) = mult(mult(mult(mult(a, c), mult(b, a)), b), a)),
% 5.19/5.40 inference(monotonicity,[status(thm)],[8301])).
% 5.19/5.40 tff(8617,plain,
% 5.19/5.40 (mult(mult(mult(mult(a, c), mult(b, a)), b), a) = mult(mult(mult(a, c), mult(mult(b, a), b)), a)),
% 5.19/5.40 inference(symmetry,[status(thm)],[8616])).
% 5.19/5.40 tff(8618,plain,
% 5.19/5.40 (mult(mult(mult(mult(c, a), b), a), mult(a, b)) = mult(mult(mult(mult(c, a), b), a), mult(b, a))),
% 5.19/5.40 inference(transitivity,[status(thm)],[8473, 4344])).
% 5.19/5.40 tff(8619,plain,
% 5.19/5.40 ((mult(mult(mult(mult(c, a), b), a), mult(a, b)) = mult(mult(mult(c, a), b), mult(mult(a, b), a))) <=> (mult(mult(mult(mult(c, a), b), a), mult(b, a)) = mult(mult(mult(c, a), b), mult(a, mult(b, a))))),
% 5.19/5.40 inference(monotonicity,[status(thm)],[8618, 4345])).
% 5.19/5.40 tff(8620,plain,
% 5.19/5.40 ((mult(mult(mult(mult(c, a), b), a), mult(b, a)) = mult(mult(mult(c, a), b), mult(a, mult(b, a)))) <=> (mult(mult(mult(mult(c, a), b), a), mult(a, b)) = mult(mult(mult(c, a), b), mult(mult(a, b), a)))),
% 5.19/5.40 inference(symmetry,[status(thm)],[8619])).
% 5.19/5.40 tff(8621,plain,
% 5.19/5.40 (mult(mult(mult(c, a), b), mult(mult(a, b), a)) = mult(mult(mult(c, a), b), mult(mult(b, a), a))),
% 5.19/5.40 inference(monotonicity,[status(thm)],[8334])).
% 5.19/5.40 tff(8622,plain,
% 5.19/5.40 (mult(mult(mult(c, a), b), mult(mult(b, a), a)) = mult(mult(mult(c, a), b), mult(mult(a, b), a))),
% 5.19/5.40 inference(symmetry,[status(thm)],[8621])).
% 5.19/5.40 tff(8623,plain,
% 5.19/5.40 (mult(mult(mult(c, a), b), mult(mult(b, a), a)) = mult(mult(mult(c, a), b), mult(a, mult(b, a)))),
% 5.19/5.40 inference(transitivity,[status(thm)],[8622, 4345])).
% 5.19/5.40 tff(8624,plain,
% 5.19/5.40 ((mult(mult(mult(mult(c, a), b), a), mult(b, a)) = mult(mult(mult(c, a), b), mult(mult(b, a), a))) <=> (mult(mult(mult(mult(c, a), b), a), mult(b, a)) = mult(mult(mult(c, a), b), mult(a, mult(b, a))))),
% 5.19/5.40 inference(monotonicity,[status(thm)],[8623])).
% 5.19/5.40 tff(8625,plain,
% 5.19/5.40 (mult(mult(mult(c, a), b), mult(a, mult(a, b))) = mult(mult(mult(c, a), b), mult(mult(b, a), a))),
% 5.19/5.40 inference(transitivity,[status(thm)],[8478, 8502])).
% 5.19/5.40 tff(8626,plain,
% 5.19/5.40 ((mult(mult(mult(mult(c, a), b), a), mult(a, b)) = mult(mult(mult(c, a), b), mult(a, mult(a, b)))) <=> (mult(mult(mult(mult(c, a), b), a), mult(b, a)) = mult(mult(mult(c, a), b), mult(mult(b, a), a)))),
% 5.19/5.40 inference(monotonicity,[status(thm)],[8618, 8625])).
% 5.19/5.40 tff(8627,plain,
% 5.19/5.40 ((mult(mult(mult(mult(c, a), b), a), mult(a, b)) = mult(mult(mult(c, a), b), mult(a, mult(a, b)))) <=> (mult(mult(mult(mult(c, a), b), a), mult(a, b)) = mult(mult(mult(c, a), b), mult(mult(a, b), a)))),
% 5.19/5.40 inference(transitivity,[status(thm)],[8626, 8624, 8620])).
% 5.19/5.40 tff(8628,plain,
% 5.19/5.40 (mult(mult(mult(mult(c, a), b), a), mult(a, b)) = mult(mult(mult(c, a), b), mult(mult(a, b), a))),
% 5.19/5.40 inference(modus_ponens,[status(thm)],[8498, 8627])).
% 5.19/5.40 tff(8629,plain,
% 5.19/5.40 ((mult(mult(mult(mult(c, a), b), a), mult(a, b)) = mult(mult(mult(c, a), b), mult(mult(a, b), a))) <=> (mult(mult(mult(c, a), b), mult(a, mult(a, b))) = mult(mult(mult(mult(c, a), b), mult(a, b)), a))),
% 5.19/5.40 inference(monotonicity,[status(thm)],[4225, 4230])).
% 5.19/5.40 tff(8630,plain,
% 5.19/5.40 ((mult(mult(mult(mult(c, a), b), a), mult(a, b)) = mult(mult(mult(c, a), b), mult(mult(a, b), a))) <=> (mult(mult(mult(mult(c, a), b), mult(a, b)), a) = mult(mult(mult(c, a), b), mult(a, mult(a, b))))),
% 5.19/5.40 inference(transitivity,[status(thm)],[8629, 4276])).
% 5.19/5.40 tff(8631,plain,
% 5.19/5.40 ((mult(mult(mult(mult(c, a), b), mult(a, b)), a) = mult(mult(mult(c, a), b), mult(a, mult(a, b)))) <=> (mult(mult(mult(mult(c, a), b), a), mult(a, b)) = mult(mult(mult(c, a), b), mult(mult(a, b), a)))),
% 5.19/5.41 inference(symmetry,[status(thm)],[8630])).
% 5.19/5.41 tff(8632,plain,
% 5.19/5.41 ((~(mult(mult(mult(mult(c, a), b), mult(a, b)), a) = mult(mult(mult(c, a), b), mult(a, mult(a, b))))) <=> (~(mult(mult(mult(mult(c, a), b), a), mult(a, b)) = mult(mult(mult(c, a), b), mult(mult(a, b), a))))),
% 5.19/5.41 inference(monotonicity,[status(thm)],[8631])).
% 5.19/5.41 tff(8633,plain,
% 5.19/5.41 (~(mult(mult(mult(mult(c, a), b), a), mult(a, b)) = mult(mult(mult(c, a), b), mult(mult(a, b), a)))),
% 5.19/5.41 inference(modus_ponens,[status(thm)],[4216, 8632])).
% 5.19/5.41 tff(8634,plain,
% 5.19/5.41 ($false),
% 5.19/5.41 inference(unit_resolution,[status(thm)],[4325, 8633])).
% 5.19/5.41 tff(8635,plain,((mult(mult(mult(mult(c, a), b), mult(a, b)), a) = mult(mult(mult(c, a), b), mult(a, mult(a, b)))) | (~(mult(mult(mult(mult(c, a), b), a), mult(a, b)) = mult(mult(mult(c, a), b), mult(mult(a, b), a))))), inference(lemma,lemma(discharge,[]))).
% 5.19/5.41 tff(8636,plain,
% 5.19/5.41 (mult(mult(mult(mult(c, a), b), mult(a, b)), a) = mult(mult(mult(c, a), b), mult(a, mult(a, b)))),
% 5.19/5.41 inference(unit_resolution,[status(thm)],[8635, 8628])).
% 5.19/5.41 tff(8637,plain,
% 5.19/5.41 (mult(mult(mult(c, a), b), mult(a, b)) = mult(mult(mult(c, a), b), mult(b, a))),
% 5.19/5.41 inference(monotonicity,[status(thm)],[8317])).
% 5.19/5.41 tff(8638,plain,
% 5.19/5.41 (mult(mult(mult(c, a), b), mult(b, a)) = mult(mult(mult(c, a), b), mult(a, b))),
% 5.19/5.41 inference(symmetry,[status(thm)],[8637])).
% 5.19/5.41 tff(8639,plain,
% 5.19/5.41 (mult(mult(mult(mult(c, a), b), mult(b, a)), a) = mult(mult(mult(mult(c, a), b), mult(a, b)), a)),
% 5.19/5.41 inference(monotonicity,[status(thm)],[8638])).
% 5.19/5.41 tff(8640,plain,
% 5.19/5.41 (mult(mult(mult(c, a), b), mult(b, a)) = mult(mult(mult(a, c), b), mult(b, a))),
% 5.19/5.41 inference(monotonicity,[status(thm)],[8367])).
% 5.19/5.41 tff(8641,plain,
% 5.19/5.41 (mult(mult(mult(a, c), b), mult(b, a)) = mult(mult(mult(c, a), b), mult(b, a))),
% 5.19/5.41 inference(symmetry,[status(thm)],[8640])).
% 5.19/5.41 tff(8642,plain,
% 5.19/5.41 (mult(mult(a, c), mult(b, mult(b, a))) = mult(mult(mult(c, a), b), mult(b, a))),
% 5.19/5.41 inference(transitivity,[status(thm)],[8613, 8641])).
% 5.19/5.41 tff(8643,plain,
% 5.19/5.41 (mult(mult(mult(a, c), mult(b, mult(b, a))), a) = mult(mult(mult(mult(c, a), b), mult(b, a)), a)),
% 5.19/5.41 inference(monotonicity,[status(thm)],[8642])).
% 5.19/5.41 tff(8644,plain,
% 5.19/5.41 (mult(mult(mult(a, c), mult(b, mult(b, a))), a) = mult(mult(mult(a, c), mult(mult(b, a), b)), a)),
% 5.19/5.41 inference(transitivity,[status(thm)],[8643, 8639, 8636, 8478, 8502, 8560, 8559, 8558, 8617])).
% 5.19/5.41 tff(8645,plain,
% 5.19/5.41 (rd(mult(mult(mult(a, c), mult(b, mult(b, a))), a), a) = rd(mult(mult(mult(a, c), mult(mult(b, a), b)), a), a)),
% 5.19/5.41 inference(monotonicity,[status(thm)],[8644])).
% 5.19/5.41 tff(8646,plain,
% 5.19/5.41 (rd(mult(mult(mult(a, c), mult(mult(b, a), b)), a), a) = rd(mult(mult(mult(a, c), mult(b, mult(b, a))), a), a)),
% 5.19/5.41 inference(symmetry,[status(thm)],[8645])).
% 5.19/5.41 tff(8647,plain,
% 5.19/5.41 ((~![B: $i, A: $i] : (rd(mult(A, B), B) = A)) | (rd(mult(mult(mult(a, c), mult(mult(b, a), b)), a), a) = mult(mult(a, c), mult(mult(b, a), b)))),
% 5.19/5.41 inference(quant_inst,[status(thm)],[])).
% 5.19/5.41 tff(8648,plain,
% 5.19/5.41 (rd(mult(mult(mult(a, c), mult(mult(b, a), b)), a), a) = mult(mult(a, c), mult(mult(b, a), b))),
% 5.19/5.41 inference(unit_resolution,[status(thm)],[8647, 72])).
% 5.19/5.41 tff(8649,plain,
% 5.19/5.41 (mult(mult(a, c), mult(mult(b, a), b)) = rd(mult(mult(mult(a, c), mult(mult(b, a), b)), a), a)),
% 5.19/5.41 inference(symmetry,[status(thm)],[8648])).
% 5.19/5.41 tff(8650,plain,
% 5.19/5.41 (mult(mult(c, b), a) = mult(mult(a, c), b)),
% 5.19/5.41 inference(transitivity,[status(thm)],[713, 8583, 2212])).
% 5.19/5.41 tff(8651,plain,
% 5.19/5.41 (mult(mult(mult(c, b), a), a) = mult(mult(mult(a, c), b), a)),
% 5.19/5.41 inference(monotonicity,[status(thm)],[8650])).
% 5.19/5.41 tff(8652,plain,
% 5.19/5.41 (mult(mult(c, b), mult(a, a)) = mult(mult(mult(c, b), a), a)),
% 5.19/5.41 inference(symmetry,[status(thm)],[4501])).
% 5.19/5.41 tff(8653,plain,
% 5.19/5.41 (mult(mult(c, b), mult(a, a)) = mult(mult(a, c), mult(b, a))),
% 5.19/5.41 inference(transitivity,[status(thm)],[8652, 8651, 3564, 8303, 3547])).
% 5.19/5.41 tff(8654,plain,
% 5.19/5.41 (mult(mult(mult(c, b), mult(a, a)), b) = mult(mult(mult(a, c), mult(b, a)), b)),
% 5.19/5.41 inference(monotonicity,[status(thm)],[8653])).
% 5.19/5.41 tff(8655,plain,
% 5.19/5.41 (mult(c, mult(mult(b, mult(a, a)), b)) = mult(mult(mult(c, b), mult(a, a)), b)),
% 5.19/5.41 inference(symmetry,[status(thm)],[4488])).
% 5.19/5.41 tff(8656,plain,
% 5.19/5.41 (mult(b, mult(a, a)) = mult(mult(b, a), a)),
% 5.19/5.41 inference(symmetry,[status(thm)],[4602])).
% 5.19/5.41 tff(8657,plain,
% 5.19/5.41 (mult(b, mult(a, a)) = mult(mult(a, a), b)),
% 5.19/5.41 inference(transitivity,[status(thm)],[8656, 8352, 4193, 8351, 6193])).
% 5.19/5.41 tff(8658,plain,
% 5.19/5.41 (mult(mult(b, mult(a, a)), b) = mult(mult(mult(a, a), b), b)),
% 5.19/5.41 inference(monotonicity,[status(thm)],[8657])).
% 5.19/5.41 tff(8659,plain,
% 5.19/5.41 (mult(mult(mult(a, a), b), b) = mult(mult(b, mult(a, a)), b)),
% 5.19/5.41 inference(symmetry,[status(thm)],[8658])).
% 5.19/5.41 tff(8660,plain,
% 5.19/5.41 (mult(c, mult(mult(mult(a, a), b), b)) = mult(c, mult(mult(b, mult(a, a)), b))),
% 5.19/5.41 inference(monotonicity,[status(thm)],[8659])).
% 5.19/5.41 tff(8661,plain,
% 5.19/5.41 (mult(c, mult(mult(mult(a, a), b), b)) = mult(c, mult(mult(b, a), mult(b, a)))),
% 5.19/5.41 inference(transitivity,[status(thm)],[8660, 8655, 8654, 8192, 8649, 8646, 8615, 8613, 8588, 4435])).
% 5.19/5.41 tff(8662,plain,
% 5.19/5.41 (ld(c, mult(c, mult(mult(mult(a, a), b), b))) = ld(c, mult(c, mult(mult(b, a), mult(b, a))))),
% 5.19/5.41 inference(monotonicity,[status(thm)],[8661])).
% 5.19/5.41 tff(8663,plain,
% 5.19/5.41 ((~![B: $i, A: $i] : (ld(A, mult(A, B)) = B)) | (ld(c, mult(c, mult(mult(mult(a, a), b), b))) = mult(mult(mult(a, a), b), b))),
% 5.19/5.41 inference(quant_inst,[status(thm)],[])).
% 5.19/5.41 tff(8664,plain,
% 5.19/5.41 (ld(c, mult(c, mult(mult(mult(a, a), b), b))) = mult(mult(mult(a, a), b), b)),
% 5.19/5.41 inference(unit_resolution,[status(thm)],[8663, 9])).
% 5.19/5.41 tff(8665,plain,
% 5.19/5.41 (mult(mult(mult(a, a), b), b) = ld(c, mult(c, mult(mult(mult(a, a), b), b)))),
% 5.19/5.41 inference(symmetry,[status(thm)],[8664])).
% 5.19/5.41 tff(8666,plain,
% 5.19/5.41 (mult(mult(mult(a, a), b), b) = mult(mult(mult(b, a), b), a)),
% 5.19/5.41 inference(transitivity,[status(thm)],[8665, 8662, 8581, 8579, 8576, 8555])).
% 5.19/5.41 tff(8667,plain,
% 5.19/5.41 (mult(mult(c, a), mult(mult(mult(a, a), b), b)) = mult(mult(a, c), mult(mult(mult(b, a), b), a))),
% 5.19/5.41 inference(monotonicity,[status(thm)],[8312, 8666])).
% 5.19/5.41 tff(8668,plain,
% 5.19/5.41 (ld(b, mult(b, mult(a, c))) = ld(b, mult(b, mult(c, a)))),
% 5.19/5.41 inference(symmetry,[status(thm)],[8311])).
% 5.19/5.41 tff(8669,plain,
% 5.19/5.41 (mult(a, c) = mult(c, a)),
% 5.19/5.41 inference(transitivity,[status(thm)],[3524, 8668, 11])).
% 5.19/5.41 tff(8670,plain,
% 5.19/5.41 (mult(mult(a, c), mult(mult(b, mult(a, a)), b)) = mult(mult(c, a), mult(mult(mult(a, a), b), b))),
% 5.19/5.41 inference(monotonicity,[status(thm)],[8669, 8658])).
% 5.19/5.41 tff(8671,plain,
% 5.19/5.41 ((~![C: $i, B: $i, A: $i] : (mult(mult(mult(A, B), C), B) = mult(A, mult(mult(B, C), B)))) | (mult(mult(mult(mult(a, c), b), mult(a, a)), b) = mult(mult(a, c), mult(mult(b, mult(a, a)), b)))),
% 5.19/5.41 inference(quant_inst,[status(thm)],[])).
% 5.19/5.41 tff(8672,plain,
% 5.19/5.41 (mult(mult(mult(mult(a, c), b), mult(a, a)), b) = mult(mult(a, c), mult(mult(b, mult(a, a)), b))),
% 5.19/5.41 inference(unit_resolution,[status(thm)],[8671, 860])).
% 5.19/5.41 tff(8673,plain,
% 5.19/5.41 (((~![X0: $i, X1: $i, X2: $i] : ((~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X2, X1)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X1, X2)))))) | (~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X1, X2)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X2, X1)))))))) | (mult(mult(mult(mult(a, c), b), a), a) = mult(mult(mult(a, c), b), mult(a, a)))) <=> ((~![X0: $i, X1: $i, X2: $i] : ((~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X2, X1)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X1, X2)))))) | (~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X1, X2)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X2, X1)))))))) | (mult(mult(mult(mult(a, c), b), a), a) = mult(mult(mult(a, c), b), mult(a, a))))),
% 5.19/5.41 inference(rewrite,[status(thm)],[])).
% 5.19/5.41 tff(8674,plain,
% 5.19/5.41 (((mult(mult(mult(mult(a, c), b), a), a) = mult(mult(mult(a, c), b), mult(a, a))) | (mult(mult(mult(mult(a, c), b), a), a) = mult(mult(mult(a, c), b), mult(a, a)))) <=> (mult(mult(mult(mult(a, c), b), a), a) = mult(mult(mult(a, c), b), mult(a, a)))),
% 5.19/5.41 inference(rewrite,[status(thm)],[])).
% 5.19/5.41 tff(8675,plain,
% 5.19/5.41 ((~(~(mult(mult(mult(mult(a, c), b), a), a) = mult(mult(mult(a, c), b), mult(a, a))))) <=> (mult(mult(mult(mult(a, c), b), a), a) = mult(mult(mult(a, c), b), mult(a, a)))),
% 5.19/5.41 inference(rewrite,[status(thm)],[])).
% 5.19/5.41 tff(8676,plain,
% 5.19/5.41 (((~(mult(mult(mult(mult(a, c), b), a), a) = mult(mult(mult(a, c), b), mult(a, a)))) | (~(mult(mult(mult(mult(a, c), b), a), a) = mult(mult(mult(a, c), b), mult(a, a))))) <=> (~(mult(mult(mult(mult(a, c), b), a), a) = mult(mult(mult(a, c), b), mult(a, a))))),
% 5.19/5.41 inference(rewrite,[status(thm)],[])).
% 5.19/5.41 tff(8677,plain,
% 5.19/5.41 ((~((~(mult(mult(mult(mult(a, c), b), a), a) = mult(mult(mult(a, c), b), mult(a, a)))) | (~(mult(mult(mult(mult(a, c), b), a), a) = mult(mult(mult(a, c), b), mult(a, a)))))) <=> (~(~(mult(mult(mult(mult(a, c), b), a), a) = mult(mult(mult(a, c), b), mult(a, a)))))),
% 5.19/5.41 inference(monotonicity,[status(thm)],[8676])).
% 5.19/5.41 tff(8678,plain,
% 5.19/5.41 ((~((~(mult(mult(mult(mult(a, c), b), a), a) = mult(mult(mult(a, c), b), mult(a, a)))) | (~(mult(mult(mult(mult(a, c), b), a), a) = mult(mult(mult(a, c), b), mult(a, a)))))) <=> (mult(mult(mult(mult(a, c), b), a), a) = mult(mult(mult(a, c), b), mult(a, a)))),
% 5.19/5.41 inference(transitivity,[status(thm)],[8677, 8675])).
% 5.19/5.41 tff(8679,plain,
% 5.19/5.41 (((~((~(mult(mult(mult(mult(a, c), b), a), a) = mult(mult(mult(a, c), b), mult(a, a)))) | (~(mult(mult(mult(mult(a, c), b), a), a) = mult(mult(mult(a, c), b), mult(a, a)))))) | (~((~(mult(mult(mult(mult(a, c), b), a), a) = mult(mult(mult(a, c), b), mult(a, a)))) | (~(mult(mult(mult(mult(a, c), b), a), a) = mult(mult(mult(a, c), b), mult(a, a))))))) <=> ((mult(mult(mult(mult(a, c), b), a), a) = mult(mult(mult(a, c), b), mult(a, a))) | (mult(mult(mult(mult(a, c), b), a), a) = mult(mult(mult(a, c), b), mult(a, a))))),
% 5.19/5.41 inference(monotonicity,[status(thm)],[8678, 8678])).
% 5.19/5.41 tff(8680,plain,
% 5.19/5.41 (((~((~(mult(mult(mult(mult(a, c), b), a), a) = mult(mult(mult(a, c), b), mult(a, a)))) | (~(mult(mult(mult(mult(a, c), b), a), a) = mult(mult(mult(a, c), b), mult(a, a)))))) | (~((~(mult(mult(mult(mult(a, c), b), a), a) = mult(mult(mult(a, c), b), mult(a, a)))) | (~(mult(mult(mult(mult(a, c), b), a), a) = mult(mult(mult(a, c), b), mult(a, a))))))) <=> (mult(mult(mult(mult(a, c), b), a), a) = mult(mult(mult(a, c), b), mult(a, a)))),
% 5.19/5.41 inference(transitivity,[status(thm)],[8679, 8674])).
% 5.19/5.41 tff(8681,plain,
% 5.19/5.41 (((~![X0: $i, X1: $i, X2: $i] : ((~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X2, X1)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X1, X2)))))) | (~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X1, X2)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X2, X1)))))))) | ((~((~(mult(mult(mult(mult(a, c), b), a), a) = mult(mult(mult(a, c), b), mult(a, a)))) | (~(mult(mult(mult(mult(a, c), b), a), a) = mult(mult(mult(a, c), b), mult(a, a)))))) | (~((~(mult(mult(mult(mult(a, c), b), a), a) = mult(mult(mult(a, c), b), mult(a, a)))) | (~(mult(mult(mult(mult(a, c), b), a), a) = mult(mult(mult(a, c), b), mult(a, a)))))))) <=> ((~![X0: $i, X1: $i, X2: $i] : ((~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X2, X1)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X1, X2)))))) | (~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X1, X2)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X2, X1)))))))) | (mult(mult(mult(mult(a, c), b), a), a) = mult(mult(mult(a, c), b), mult(a, a))))),
% 5.19/5.41 inference(monotonicity,[status(thm)],[8680])).
% 5.19/5.41 tff(8682,plain,
% 5.19/5.41 (((~![X0: $i, X1: $i, X2: $i] : ((~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X2, X1)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X1, X2)))))) | (~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X1, X2)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X2, X1)))))))) | ((~((~(mult(mult(mult(mult(a, c), b), a), a) = mult(mult(mult(a, c), b), mult(a, a)))) | (~(mult(mult(mult(mult(a, c), b), a), a) = mult(mult(mult(a, c), b), mult(a, a)))))) | (~((~(mult(mult(mult(mult(a, c), b), a), a) = mult(mult(mult(a, c), b), mult(a, a)))) | (~(mult(mult(mult(mult(a, c), b), a), a) = mult(mult(mult(a, c), b), mult(a, a)))))))) <=> ((~![X0: $i, X1: $i, X2: $i] : ((~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X2, X1)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X1, X2)))))) | (~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X1, X2)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X2, X1)))))))) | (mult(mult(mult(mult(a, c), b), a), a) = mult(mult(mult(a, c), b), mult(a, a))))),
% 5.19/5.41 inference(transitivity,[status(thm)],[8681, 8673])).
% 5.19/5.41 tff(8683,plain,
% 5.19/5.41 ((~![X0: $i, X1: $i, X2: $i] : ((~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X2, X1)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X1, X2)))))) | (~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X1, X2)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X2, X1)))))))) | ((~((~(mult(mult(mult(mult(a, c), b), a), a) = mult(mult(mult(a, c), b), mult(a, a)))) | (~(mult(mult(mult(mult(a, c), b), a), a) = mult(mult(mult(a, c), b), mult(a, a)))))) | (~((~(mult(mult(mult(mult(a, c), b), a), a) = mult(mult(mult(a, c), b), mult(a, a)))) | (~(mult(mult(mult(mult(a, c), b), a), a) = mult(mult(mult(a, c), b), mult(a, a)))))))),
% 5.19/5.41 inference(quant_inst,[status(thm)],[])).
% 5.19/5.41 tff(8684,plain,
% 5.19/5.41 ((~![X0: $i, X1: $i, X2: $i] : ((~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X2, X1)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X1, X2)))))) | (~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X1, X2)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X2, X1)))))))) | (mult(mult(mult(mult(a, c), b), a), a) = mult(mult(mult(a, c), b), mult(a, a)))),
% 5.19/5.41 inference(modus_ponens,[status(thm)],[8683, 8682])).
% 5.19/5.41 tff(8685,plain,
% 5.19/5.41 (mult(mult(mult(mult(a, c), b), a), a) = mult(mult(mult(a, c), b), mult(a, a))),
% 5.19/5.41 inference(unit_resolution,[status(thm)],[8684, 30])).
% 5.19/5.41 tff(8686,plain,
% 5.19/5.41 (mult(mult(mult(a, c), b), a) = mult(mult(a, c), mult(b, a))),
% 5.19/5.41 inference(transitivity,[status(thm)],[3564, 8303, 3547])).
% 5.19/5.41 tff(8687,plain,
% 5.19/5.41 (mult(mult(mult(mult(a, c), b), a), a) = mult(mult(mult(a, c), mult(b, a)), a)),
% 5.19/5.41 inference(monotonicity,[status(thm)],[8686])).
% 5.19/5.41 tff(8688,plain,
% 5.19/5.41 (mult(mult(mult(a, c), mult(b, a)), a) = mult(mult(mult(mult(a, c), b), a), a)),
% 5.19/5.41 inference(symmetry,[status(thm)],[8687])).
% 5.19/5.41 tff(8689,plain,
% 5.19/5.41 (mult(mult(mult(a, c), mult(b, a)), a) = mult(mult(mult(a, c), b), mult(a, a))),
% 5.19/5.41 inference(transitivity,[status(thm)],[8688, 8685])).
% 5.19/5.41 tff(8690,plain,
% 5.19/5.41 (mult(mult(mult(mult(a, c), mult(b, a)), a), b) = mult(mult(mult(mult(a, c), b), mult(a, a)), b)),
% 5.19/5.41 inference(monotonicity,[status(thm)],[8689])).
% 5.19/5.41 tff(8691,plain,
% 5.19/5.41 (mult(mult(a, c), mult(b, a)) = mult(mult(a, a), mult(c, b))),
% 5.19/5.41 inference(transitivity,[status(thm)],[8468, 8467, 3563, 8296, 8297, 612, 8186])).
% 5.19/5.41 tff(8692,plain,
% 5.19/5.41 (mult(mult(mult(a, c), mult(b, a)), a) = mult(mult(mult(a, a), mult(c, b)), a)),
% 5.19/5.41 inference(monotonicity,[status(thm)],[8691])).
% 5.19/5.41 tff(8693,plain,
% 5.19/5.41 (mult(mult(mult(a, a), mult(c, b)), a) = mult(mult(mult(a, c), mult(b, a)), a)),
% 5.19/5.41 inference(symmetry,[status(thm)],[8692])).
% 5.19/5.41 tff(8694,plain,
% 5.19/5.41 (mult(a, mult(b, mult(a, mult(a, c)))) = mult(a, mult(mult(a, mult(c, b)), a))),
% 5.19/5.41 inference(monotonicity,[status(thm)],[8429])).
% 5.19/5.41 tff(8695,plain,
% 5.19/5.41 (mult(a, mult(b, mult(a, mult(a, c)))) = mult(mult(mult(a, c), mult(b, a)), a)),
% 5.19/5.41 inference(transitivity,[status(thm)],[8694, 5873, 8693])).
% 5.19/5.41 tff(8696,plain,
% 5.19/5.41 (mult(mult(a, mult(b, mult(a, mult(a, c)))), b) = mult(mult(mult(mult(a, c), mult(b, a)), a), b)),
% 5.19/5.41 inference(monotonicity,[status(thm)],[8695])).
% 5.19/5.41 tff(8697,plain,
% 5.19/5.41 (mult(mult(a, mult(b, mult(a, mult(a, c)))), b) = mult(mult(a, mult(mult(b, c), a)), mult(a, b))),
% 5.19/5.41 inference(transitivity,[status(thm)],[8696, 8690, 8672, 8670, 8667, 8553, 8534, 8531, 8510, 8507, 8505, 8503, 8500, 8499, 8473, 8471, 8464, 8462])).
% 5.19/5.41 tff(8698,plain,
% 5.19/5.41 ((mult(mult(a, mult(b, mult(a, mult(a, c)))), b) = mult(a, mult(mult(b, mult(a, mult(a, c))), b))) <=> (mult(mult(a, mult(mult(b, c), a)), mult(a, b)) = mult(a, mult(mult(mult(b, c), a), mult(a, b))))),
% 5.19/5.41 inference(monotonicity,[status(thm)],[8697, 8459])).
% 5.19/5.41 tff(8699,plain,
% 5.19/5.41 ((mult(mult(a, mult(mult(b, c), a)), mult(a, b)) = mult(a, mult(mult(mult(b, c), a), mult(a, b)))) <=> (mult(mult(a, mult(b, mult(a, mult(a, c)))), b) = mult(a, mult(mult(b, mult(a, mult(a, c))), b)))),
% 5.19/5.41 inference(symmetry,[status(thm)],[8698])).
% 5.19/5.41 tff(8700,plain,
% 5.19/5.41 ((~(mult(mult(a, mult(mult(b, c), a)), mult(a, b)) = mult(a, mult(mult(mult(b, c), a), mult(a, b))))) <=> (~(mult(mult(a, mult(b, mult(a, mult(a, c)))), b) = mult(a, mult(mult(b, mult(a, mult(a, c))), b))))),
% 5.19/5.41 inference(monotonicity,[status(thm)],[8699])).
% 5.19/5.41 tff(8701,plain,
% 5.19/5.41 (~(mult(mult(a, c), mult(a, b)) = mult(a, mult(c, mult(a, b))))),
% 5.19/5.41 inference(unit_resolution,[status(thm)],[8035, 8296, 41, 8184, 8177])).
% 5.19/5.41 tff(8702,plain,
% 5.19/5.41 ((~![B: $i, A: $i] : (rd(mult(A, B), B) = A)) | (rd(mult(mult(a, mult(c, mult(a, b))), mult(a, b)), mult(a, b)) = mult(a, mult(c, mult(a, b))))),
% 5.19/5.41 inference(quant_inst,[status(thm)],[])).
% 5.19/5.41 tff(8703,plain,
% 5.19/5.41 (rd(mult(mult(a, mult(c, mult(a, b))), mult(a, b)), mult(a, b)) = mult(a, mult(c, mult(a, b)))),
% 5.19/5.41 inference(unit_resolution,[status(thm)],[8702, 72])).
% 5.19/5.41 tff(8704,plain,
% 5.19/5.41 (mult(mult(a, c), mult(a, b)) = mult(a, mult(mult(b, c), a))),
% 5.19/5.41 inference(transitivity,[status(thm)],[1106, 511, 510])).
% 5.19/5.41 tff(8705,plain,
% 5.19/5.41 (mult(mult(mult(a, c), mult(a, b)), mult(a, b)) = mult(mult(a, mult(mult(b, c), a)), mult(a, b))),
% 5.19/5.41 inference(monotonicity,[status(thm)],[8704])).
% 5.19/5.41 tff(8706,plain,
% 5.19/5.41 (mult(mult(a, mult(mult(b, c), a)), mult(a, b)) = mult(mult(mult(a, c), mult(a, b)), mult(a, b))),
% 5.19/5.41 inference(symmetry,[status(thm)],[8705])).
% 5.19/5.41 tff(8707,assumption,(mult(mult(a, mult(mult(b, c), a)), mult(a, b)) = mult(a, mult(mult(mult(b, c), a), mult(a, b)))), introduced(assumption)).
% 5.19/5.41 tff(8708,plain,
% 5.19/5.41 (mult(a, mult(mult(mult(b, c), a), mult(a, b))) = mult(mult(a, mult(mult(b, c), a)), mult(a, b))),
% 5.19/5.41 inference(symmetry,[status(thm)],[8707])).
% 5.19/5.41 tff(8709,plain,
% 5.19/5.41 (mult(mult(a, mult(c, mult(a, b))), mult(a, b)) = mult(mult(mult(mult(a, b), c), a), mult(a, b))),
% 5.19/5.41 inference(monotonicity,[status(thm)],[6446])).
% 5.19/5.41 tff(8710,plain,
% 5.19/5.41 (mult(mult(a, mult(c, mult(a, b))), mult(a, b)) = mult(mult(mult(a, c), mult(a, b)), mult(a, b))),
% 5.19/5.41 inference(transitivity,[status(thm)],[8709, 7426, 6127, 7423, 8708, 8706])).
% 5.19/5.41 tff(8711,plain,
% 5.19/5.41 (rd(mult(mult(a, mult(c, mult(a, b))), mult(a, b)), mult(a, b)) = rd(mult(mult(mult(a, c), mult(a, b)), mult(a, b)), mult(a, b))),
% 5.19/5.41 inference(monotonicity,[status(thm)],[8710])).
% 5.19/5.41 tff(8712,plain,
% 5.19/5.41 (rd(mult(mult(mult(a, c), mult(a, b)), mult(a, b)), mult(a, b)) = rd(mult(mult(a, mult(c, mult(a, b))), mult(a, b)), mult(a, b))),
% 5.19/5.41 inference(symmetry,[status(thm)],[8711])).
% 5.19/5.41 tff(8713,plain,
% 5.19/5.41 ((~![B: $i, A: $i] : (rd(mult(A, B), B) = A)) | (rd(mult(mult(mult(a, c), mult(a, b)), mult(a, b)), mult(a, b)) = mult(mult(a, c), mult(a, b)))),
% 5.19/5.41 inference(quant_inst,[status(thm)],[])).
% 5.19/5.41 tff(8714,plain,
% 5.19/5.41 (rd(mult(mult(mult(a, c), mult(a, b)), mult(a, b)), mult(a, b)) = mult(mult(a, c), mult(a, b))),
% 5.19/5.41 inference(unit_resolution,[status(thm)],[8713, 72])).
% 5.19/5.41 tff(8715,plain,
% 5.19/5.41 (mult(mult(a, c), mult(a, b)) = rd(mult(mult(mult(a, c), mult(a, b)), mult(a, b)), mult(a, b))),
% 5.19/5.41 inference(symmetry,[status(thm)],[8714])).
% 5.19/5.41 tff(8716,plain,
% 5.19/5.41 (mult(mult(a, c), mult(a, b)) = mult(a, mult(c, mult(a, b)))),
% 5.19/5.41 inference(transitivity,[status(thm)],[8715, 8712, 8703])).
% 5.19/5.41 tff(8717,plain,
% 5.19/5.41 ($false),
% 5.19/5.41 inference(unit_resolution,[status(thm)],[5107, 8716])).
% 5.19/5.41 tff(8718,plain,((~(mult(mult(a, mult(mult(b, c), a)), mult(a, b)) = mult(a, mult(mult(mult(b, c), a), mult(a, b))))) | (mult(mult(a, c), mult(a, b)) = mult(a, mult(c, mult(a, b)))) | (~(mult(mult(a, b), c) = mult(a, mult(c, b)))) | (~(mult(mult(a, mult(b, c)), a) = mult(a, mult(mult(b, c), a)))) | (~(mult(mult(mult(a, c), b), a) = mult(mult(a, c), mult(a, b)))) | (~(mult(mult(a, c), b) = mult(a, mult(b, c)))) | (~(mult(mult(a, mult(c, b)), a) = mult(a, mult(mult(c, b), a)))) | (~(mult(mult(c, b), a) = mult(c, mult(a, b))))), inference(lemma,lemma(discharge,[]))).
% 5.19/5.41 tff(8719,plain,
% 5.19/5.41 (~(mult(mult(a, mult(mult(b, c), a)), mult(a, b)) = mult(a, mult(mult(mult(b, c), a), mult(a, b))))),
% 5.19/5.41 inference(unit_resolution,[status(thm)],[8718, 8296, 91, 8177, 8701, 97, 8184, 8160])).
% 5.19/5.41 tff(8720,plain,
% 5.19/5.41 (~(mult(mult(a, mult(b, mult(a, mult(a, c)))), b) = mult(a, mult(mult(b, mult(a, mult(a, c))), b)))),
% 5.19/5.41 inference(modus_ponens,[status(thm)],[8719, 8700])).
% 5.19/5.41 tff(8721,plain,
% 5.19/5.41 (((~(mult(mult(a, b), mult(b, mult(a, mult(a, c)))) = mult(a, mult(b, mult(b, mult(a, mult(a, c))))))) | (~(mult(mult(a, mult(b, mult(a, mult(a, c)))), b) = mult(a, mult(mult(b, mult(a, mult(a, c))), b))))) | (mult(mult(a, mult(b, mult(a, mult(a, c)))), b) = mult(a, mult(mult(b, mult(a, mult(a, c))), b)))),
% 5.19/5.42 inference(tautology,[status(thm)],[])).
% 5.19/5.42 tff(8722,plain,
% 5.19/5.42 ((~(mult(mult(a, b), mult(b, mult(a, mult(a, c)))) = mult(a, mult(b, mult(b, mult(a, mult(a, c))))))) | (~(mult(mult(a, mult(b, mult(a, mult(a, c)))), b) = mult(a, mult(mult(b, mult(a, mult(a, c))), b))))),
% 5.19/5.42 inference(unit_resolution,[status(thm)],[8721, 8720])).
% 5.19/5.42 tff(8723,plain,
% 5.19/5.42 (((~![X0: $i, X1: $i, X2: $i] : ((~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X2, X1)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X1, X2)))))) | (~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X1, X2)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X2, X1)))))))) | ((~((~(mult(mult(a, b), mult(b, mult(a, mult(a, c)))) = mult(a, mult(b, mult(b, mult(a, mult(a, c))))))) | (~(mult(mult(a, mult(b, mult(a, mult(a, c)))), b) = mult(a, mult(mult(b, mult(a, mult(a, c))), b)))))) | (~((~(mult(mult(a, b), mult(b, mult(a, mult(a, c)))) = mult(a, mult(mult(b, mult(a, mult(a, c))), b)))) | (~(mult(mult(a, mult(b, mult(a, mult(a, c)))), b) = mult(a, mult(b, mult(b, mult(a, mult(a, c))))))))))) <=> ((~![X0: $i, X1: $i, X2: $i] : ((~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X2, X1)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X1, X2)))))) | (~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X1, X2)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X2, X1)))))))) | (~((~(mult(mult(a, b), mult(b, mult(a, mult(a, c)))) = mult(a, mult(b, mult(b, mult(a, mult(a, c))))))) | (~(mult(mult(a, mult(b, mult(a, mult(a, c)))), b) = mult(a, mult(mult(b, mult(a, mult(a, c))), b)))))) | (~((~(mult(mult(a, b), mult(b, mult(a, mult(a, c)))) = mult(a, mult(mult(b, mult(a, mult(a, c))), b)))) | (~(mult(mult(a, mult(b, mult(a, mult(a, c)))), b) = mult(a, mult(b, mult(b, mult(a, mult(a, c))))))))))),
% 5.19/5.42 inference(rewrite,[status(thm)],[])).
% 5.19/5.42 tff(8724,plain,
% 5.19/5.42 (((~((~(mult(mult(a, b), mult(b, mult(a, mult(a, c)))) = mult(a, mult(mult(b, mult(a, mult(a, c))), b)))) | (~(mult(mult(a, mult(b, mult(a, mult(a, c)))), b) = mult(a, mult(b, mult(b, mult(a, mult(a, c))))))))) | (~((~(mult(mult(a, b), mult(b, mult(a, mult(a, c)))) = mult(a, mult(b, mult(b, mult(a, mult(a, c))))))) | (~(mult(mult(a, mult(b, mult(a, mult(a, c)))), b) = mult(a, mult(mult(b, mult(a, mult(a, c))), b))))))) <=> ((~((~(mult(mult(a, b), mult(b, mult(a, mult(a, c)))) = mult(a, mult(b, mult(b, mult(a, mult(a, c))))))) | (~(mult(mult(a, mult(b, mult(a, mult(a, c)))), b) = mult(a, mult(mult(b, mult(a, mult(a, c))), b)))))) | (~((~(mult(mult(a, b), mult(b, mult(a, mult(a, c)))) = mult(a, mult(mult(b, mult(a, mult(a, c))), b)))) | (~(mult(mult(a, mult(b, mult(a, mult(a, c)))), b) = mult(a, mult(b, mult(b, mult(a, mult(a, c))))))))))),
% 5.19/5.42 inference(rewrite,[status(thm)],[])).
% 5.19/5.42 tff(8725,plain,
% 5.19/5.42 (((~![X0: $i, X1: $i, X2: $i] : ((~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X2, X1)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X1, X2)))))) | (~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X1, X2)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X2, X1)))))))) | ((~((~(mult(mult(a, b), mult(b, mult(a, mult(a, c)))) = mult(a, mult(mult(b, mult(a, mult(a, c))), b)))) | (~(mult(mult(a, mult(b, mult(a, mult(a, c)))), b) = mult(a, mult(b, mult(b, mult(a, mult(a, c))))))))) | (~((~(mult(mult(a, b), mult(b, mult(a, mult(a, c)))) = mult(a, mult(b, mult(b, mult(a, mult(a, c))))))) | (~(mult(mult(a, mult(b, mult(a, mult(a, c)))), b) = mult(a, mult(mult(b, mult(a, mult(a, c))), b)))))))) <=> ((~![X0: $i, X1: $i, X2: $i] : ((~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X2, X1)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X1, X2)))))) | (~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X1, X2)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X2, X1)))))))) | ((~((~(mult(mult(a, b), mult(b, mult(a, mult(a, c)))) = mult(a, mult(b, mult(b, mult(a, mult(a, c))))))) | (~(mult(mult(a, mult(b, mult(a, mult(a, c)))), b) = mult(a, mult(mult(b, mult(a, mult(a, c))), b)))))) | (~((~(mult(mult(a, b), mult(b, mult(a, mult(a, c)))) = mult(a, mult(mult(b, mult(a, mult(a, c))), b)))) | (~(mult(mult(a, mult(b, mult(a, mult(a, c)))), b) = mult(a, mult(b, mult(b, mult(a, mult(a, c)))))))))))),
% 5.19/5.42 inference(monotonicity,[status(thm)],[8724])).
% 5.19/5.42 tff(8726,plain,
% 5.19/5.42 (((~![X0: $i, X1: $i, X2: $i] : ((~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X2, X1)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X1, X2)))))) | (~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X1, X2)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X2, X1)))))))) | ((~((~(mult(mult(a, b), mult(b, mult(a, mult(a, c)))) = mult(a, mult(mult(b, mult(a, mult(a, c))), b)))) | (~(mult(mult(a, mult(b, mult(a, mult(a, c)))), b) = mult(a, mult(b, mult(b, mult(a, mult(a, c))))))))) | (~((~(mult(mult(a, b), mult(b, mult(a, mult(a, c)))) = mult(a, mult(b, mult(b, mult(a, mult(a, c))))))) | (~(mult(mult(a, mult(b, mult(a, mult(a, c)))), b) = mult(a, mult(mult(b, mult(a, mult(a, c))), b)))))))) <=> ((~![X0: $i, X1: $i, X2: $i] : ((~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X2, X1)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X1, X2)))))) | (~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X1, X2)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X2, X1)))))))) | (~((~(mult(mult(a, b), mult(b, mult(a, mult(a, c)))) = mult(a, mult(b, mult(b, mult(a, mult(a, c))))))) | (~(mult(mult(a, mult(b, mult(a, mult(a, c)))), b) = mult(a, mult(mult(b, mult(a, mult(a, c))), b)))))) | (~((~(mult(mult(a, b), mult(b, mult(a, mult(a, c)))) = mult(a, mult(mult(b, mult(a, mult(a, c))), b)))) | (~(mult(mult(a, mult(b, mult(a, mult(a, c)))), b) = mult(a, mult(b, mult(b, mult(a, mult(a, c))))))))))),
% 5.19/5.42 inference(transitivity,[status(thm)],[8725, 8723])).
% 5.19/5.42 tff(8727,plain,
% 5.19/5.42 ((~![X0: $i, X1: $i, X2: $i] : ((~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X2, X1)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X1, X2)))))) | (~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X1, X2)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X2, X1)))))))) | ((~((~(mult(mult(a, b), mult(b, mult(a, mult(a, c)))) = mult(a, mult(mult(b, mult(a, mult(a, c))), b)))) | (~(mult(mult(a, mult(b, mult(a, mult(a, c)))), b) = mult(a, mult(b, mult(b, mult(a, mult(a, c))))))))) | (~((~(mult(mult(a, b), mult(b, mult(a, mult(a, c)))) = mult(a, mult(b, mult(b, mult(a, mult(a, c))))))) | (~(mult(mult(a, mult(b, mult(a, mult(a, c)))), b) = mult(a, mult(mult(b, mult(a, mult(a, c))), b)))))))),
% 5.19/5.42 inference(quant_inst,[status(thm)],[])).
% 5.19/5.42 tff(8728,plain,
% 5.19/5.42 ((~![X0: $i, X1: $i, X2: $i] : ((~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X2, X1)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X1, X2)))))) | (~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X1, X2)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X2, X1)))))))) | (~((~(mult(mult(a, b), mult(b, mult(a, mult(a, c)))) = mult(a, mult(b, mult(b, mult(a, mult(a, c))))))) | (~(mult(mult(a, mult(b, mult(a, mult(a, c)))), b) = mult(a, mult(mult(b, mult(a, mult(a, c))), b)))))) | (~((~(mult(mult(a, b), mult(b, mult(a, mult(a, c)))) = mult(a, mult(mult(b, mult(a, mult(a, c))), b)))) | (~(mult(mult(a, mult(b, mult(a, mult(a, c)))), b) = mult(a, mult(b, mult(b, mult(a, mult(a, c)))))))))),
% 5.19/5.42 inference(modus_ponens,[status(thm)],[8727, 8726])).
% 5.19/5.42 tff(8729,plain,
% 5.19/5.42 ((~((~(mult(mult(a, b), mult(b, mult(a, mult(a, c)))) = mult(a, mult(b, mult(b, mult(a, mult(a, c))))))) | (~(mult(mult(a, mult(b, mult(a, mult(a, c)))), b) = mult(a, mult(mult(b, mult(a, mult(a, c))), b)))))) | (~((~(mult(mult(a, b), mult(b, mult(a, mult(a, c)))) = mult(a, mult(mult(b, mult(a, mult(a, c))), b)))) | (~(mult(mult(a, mult(b, mult(a, mult(a, c)))), b) = mult(a, mult(b, mult(b, mult(a, mult(a, c)))))))))),
% 5.19/5.42 inference(unit_resolution,[status(thm)],[8728, 30])).
% 5.19/5.42 tff(8730,plain,
% 5.19/5.42 (~((~(mult(mult(a, b), mult(b, mult(a, mult(a, c)))) = mult(a, mult(mult(b, mult(a, mult(a, c))), b)))) | (~(mult(mult(a, mult(b, mult(a, mult(a, c)))), b) = mult(a, mult(b, mult(b, mult(a, mult(a, c))))))))),
% 5.19/5.42 inference(unit_resolution,[status(thm)],[8729, 8722])).
% 5.19/5.42 tff(8731,plain,
% 5.19/5.42 (((~(mult(mult(a, b), mult(b, mult(a, mult(a, c)))) = mult(a, mult(mult(b, mult(a, mult(a, c))), b)))) | (~(mult(mult(a, mult(b, mult(a, mult(a, c)))), b) = mult(a, mult(b, mult(b, mult(a, mult(a, c)))))))) | (mult(mult(a, b), mult(b, mult(a, mult(a, c)))) = mult(a, mult(mult(b, mult(a, mult(a, c))), b)))),
% 5.19/5.42 inference(tautology,[status(thm)],[])).
% 5.19/5.42 tff(8732,plain,
% 5.19/5.42 (mult(mult(a, b), mult(b, mult(a, mult(a, c)))) = mult(a, mult(mult(b, mult(a, mult(a, c))), b))),
% 5.19/5.42 inference(unit_resolution,[status(thm)],[8731, 8730])).
% 5.19/5.42 tff(8733,plain,
% 5.19/5.42 (mult(mult(mult(b, a), mult(a, c)), mult(b, a)) = mult(mult(b, a), mult(mult(b, a), mult(a, c)))),
% 5.19/5.42 inference(modus_ponens,[status(thm)],[8732, 8444])).
% 5.19/5.42 tff(8734,assumption,(mult(mult(mult(b, a), mult(a, c)), mult(b, a)) = mult(mult(b, a), mult(mult(b, a), mult(a, c)))), introduced(assumption)).
% 5.19/5.42 tff(8735,assumption,(~(mult(mult(mult(a, c), mult(mult(b, a), mult(a, c))), mult(b, a)) = mult(mult(a, c), mult(mult(mult(b, a), mult(a, c)), mult(b, a))))), introduced(assumption)).
% 5.19/5.42 tff(8736,plain,
% 5.19/5.42 (mult(mult(b, a), mult(mult(b, a), mult(a, c))) = mult(mult(mult(b, a), mult(a, c)), mult(b, a))),
% 5.19/5.42 inference(symmetry,[status(thm)],[8734])).
% 5.19/5.42 tff(8737,plain,
% 5.19/5.42 (mult(mult(a, c), mult(mult(b, a), mult(mult(b, a), mult(a, c)))) = mult(mult(a, c), mult(mult(mult(b, a), mult(a, c)), mult(b, a)))),
% 5.19/5.42 inference(monotonicity,[status(thm)],[8736])).
% 5.19/5.42 tff(8738,assumption,(mult(mult(mult(a, c), mult(mult(b, a), mult(a, c))), mult(b, a)) = mult(mult(a, c), mult(mult(b, a), mult(mult(b, a), mult(a, c))))), introduced(assumption)).
% 5.19/5.42 tff(8739,plain,
% 5.19/5.42 (mult(mult(mult(a, c), mult(mult(b, a), mult(a, c))), mult(b, a)) = mult(mult(a, c), mult(mult(mult(b, a), mult(a, c)), mult(b, a)))),
% 5.19/5.42 inference(transitivity,[status(thm)],[8738, 8737])).
% 5.19/5.42 tff(8740,plain,
% 5.19/5.42 ($false),
% 5.19/5.42 inference(unit_resolution,[status(thm)],[8735, 8739])).
% 5.19/5.42 tff(8741,plain,((~(mult(mult(mult(b, a), mult(a, c)), mult(b, a)) = mult(mult(b, a), mult(mult(b, a), mult(a, c))))) | (mult(mult(mult(a, c), mult(mult(b, a), mult(a, c))), mult(b, a)) = mult(mult(a, c), mult(mult(mult(b, a), mult(a, c)), mult(b, a)))) | (~(mult(mult(mult(a, c), mult(mult(b, a), mult(a, c))), mult(b, a)) = mult(mult(a, c), mult(mult(b, a), mult(mult(b, a), mult(a, c))))))), inference(lemma,lemma(discharge,[]))).
% 5.19/5.42 tff(8742,plain,
% 5.19/5.42 (~(mult(mult(mult(a, c), mult(mult(b, a), mult(a, c))), mult(b, a)) = mult(mult(a, c), mult(mult(b, a), mult(mult(b, a), mult(a, c)))))),
% 5.19/5.42 inference(unit_resolution,[status(thm)],[8741, 8735, 8734])).
% 5.19/5.42 tff(8743,plain,
% 5.19/5.42 (((~(mult(mult(mult(a, c), mult(mult(b, a), mult(a, c))), mult(b, a)) = mult(mult(a, c), mult(mult(mult(b, a), mult(a, c)), mult(b, a))))) | (~(mult(mult(mult(a, c), mult(b, a)), mult(mult(b, a), mult(a, c))) = mult(mult(a, c), mult(mult(b, a), mult(mult(b, a), mult(a, c))))))) | (mult(mult(mult(a, c), mult(mult(b, a), mult(a, c))), mult(b, a)) = mult(mult(a, c), mult(mult(mult(b, a), mult(a, c)), mult(b, a))))),
% 5.19/5.42 inference(tautology,[status(thm)],[])).
% 5.19/5.42 tff(8744,plain,
% 5.19/5.42 ((~(mult(mult(mult(a, c), mult(mult(b, a), mult(a, c))), mult(b, a)) = mult(mult(a, c), mult(mult(mult(b, a), mult(a, c)), mult(b, a))))) | (~(mult(mult(mult(a, c), mult(b, a)), mult(mult(b, a), mult(a, c))) = mult(mult(a, c), mult(mult(b, a), mult(mult(b, a), mult(a, c))))))),
% 5.19/5.42 inference(unit_resolution,[status(thm)],[8743, 8735])).
% 5.19/5.42 tff(8745,plain,
% 5.19/5.42 (((~![X0: $i, X1: $i, X2: $i] : ((~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X2, X1)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X1, X2)))))) | (~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X1, X2)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X2, X1)))))))) | ((~((~(mult(mult(mult(a, c), mult(b, a)), mult(mult(b, a), mult(a, c))) = mult(mult(a, c), mult(mult(mult(b, a), mult(a, c)), mult(b, a))))) | (~(mult(mult(mult(a, c), mult(mult(b, a), mult(a, c))), mult(b, a)) = mult(mult(a, c), mult(mult(b, a), mult(mult(b, a), mult(a, c)))))))) | (~((~(mult(mult(mult(a, c), mult(mult(b, a), mult(a, c))), mult(b, a)) = mult(mult(a, c), mult(mult(mult(b, a), mult(a, c)), mult(b, a))))) | (~(mult(mult(mult(a, c), mult(b, a)), mult(mult(b, a), mult(a, c))) = mult(mult(a, c), mult(mult(b, a), mult(mult(b, a), mult(a, c)))))))))) <=> ((~![X0: $i, X1: $i, X2: $i] : ((~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X2, X1)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X1, X2)))))) | (~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X1, X2)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X2, X1)))))))) | (~((~(mult(mult(mult(a, c), mult(b, a)), mult(mult(b, a), mult(a, c))) = mult(mult(a, c), mult(mult(mult(b, a), mult(a, c)), mult(b, a))))) | (~(mult(mult(mult(a, c), mult(mult(b, a), mult(a, c))), mult(b, a)) = mult(mult(a, c), mult(mult(b, a), mult(mult(b, a), mult(a, c)))))))) | (~((~(mult(mult(mult(a, c), mult(mult(b, a), mult(a, c))), mult(b, a)) = mult(mult(a, c), mult(mult(mult(b, a), mult(a, c)), mult(b, a))))) | (~(mult(mult(mult(a, c), mult(b, a)), mult(mult(b, a), mult(a, c))) = mult(mult(a, c), mult(mult(b, a), mult(mult(b, a), mult(a, c)))))))))),
% 5.19/5.42 inference(rewrite,[status(thm)],[])).
% 5.19/5.42 tff(8746,plain,
% 5.19/5.42 (((~((~(mult(mult(mult(a, c), mult(mult(b, a), mult(a, c))), mult(b, a)) = mult(mult(a, c), mult(mult(b, a), mult(mult(b, a), mult(a, c)))))) | (~(mult(mult(mult(a, c), mult(b, a)), mult(mult(b, a), mult(a, c))) = mult(mult(a, c), mult(mult(mult(b, a), mult(a, c)), mult(b, a))))))) | (~((~(mult(mult(mult(a, c), mult(mult(b, a), mult(a, c))), mult(b, a)) = mult(mult(a, c), mult(mult(mult(b, a), mult(a, c)), mult(b, a))))) | (~(mult(mult(mult(a, c), mult(b, a)), mult(mult(b, a), mult(a, c))) = mult(mult(a, c), mult(mult(b, a), mult(mult(b, a), mult(a, c))))))))) <=> ((~((~(mult(mult(mult(a, c), mult(b, a)), mult(mult(b, a), mult(a, c))) = mult(mult(a, c), mult(mult(mult(b, a), mult(a, c)), mult(b, a))))) | (~(mult(mult(mult(a, c), mult(mult(b, a), mult(a, c))), mult(b, a)) = mult(mult(a, c), mult(mult(b, a), mult(mult(b, a), mult(a, c)))))))) | (~((~(mult(mult(mult(a, c), mult(mult(b, a), mult(a, c))), mult(b, a)) = mult(mult(a, c), mult(mult(mult(b, a), mult(a, c)), mult(b, a))))) | (~(mult(mult(mult(a, c), mult(b, a)), mult(mult(b, a), mult(a, c))) = mult(mult(a, c), mult(mult(b, a), mult(mult(b, a), mult(a, c)))))))))),
% 5.19/5.42 inference(rewrite,[status(thm)],[])).
% 5.19/5.42 tff(8747,plain,
% 5.19/5.42 (((~![X0: $i, X1: $i, X2: $i] : ((~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X2, X1)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X1, X2)))))) | (~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X1, X2)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X2, X1)))))))) | ((~((~(mult(mult(mult(a, c), mult(mult(b, a), mult(a, c))), mult(b, a)) = mult(mult(a, c), mult(mult(b, a), mult(mult(b, a), mult(a, c)))))) | (~(mult(mult(mult(a, c), mult(b, a)), mult(mult(b, a), mult(a, c))) = mult(mult(a, c), mult(mult(mult(b, a), mult(a, c)), mult(b, a))))))) | (~((~(mult(mult(mult(a, c), mult(mult(b, a), mult(a, c))), mult(b, a)) = mult(mult(a, c), mult(mult(mult(b, a), mult(a, c)), mult(b, a))))) | (~(mult(mult(mult(a, c), mult(b, a)), mult(mult(b, a), mult(a, c))) = mult(mult(a, c), mult(mult(b, a), mult(mult(b, a), mult(a, c)))))))))) <=> ((~![X0: $i, X1: $i, X2: $i] : ((~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X2, X1)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X1, X2)))))) | (~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X1, X2)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X2, X1)))))))) | ((~((~(mult(mult(mult(a, c), mult(b, a)), mult(mult(b, a), mult(a, c))) = mult(mult(a, c), mult(mult(mult(b, a), mult(a, c)), mult(b, a))))) | (~(mult(mult(mult(a, c), mult(mult(b, a), mult(a, c))), mult(b, a)) = mult(mult(a, c), mult(mult(b, a), mult(mult(b, a), mult(a, c)))))))) | (~((~(mult(mult(mult(a, c), mult(mult(b, a), mult(a, c))), mult(b, a)) = mult(mult(a, c), mult(mult(mult(b, a), mult(a, c)), mult(b, a))))) | (~(mult(mult(mult(a, c), mult(b, a)), mult(mult(b, a), mult(a, c))) = mult(mult(a, c), mult(mult(b, a), mult(mult(b, a), mult(a, c))))))))))),
% 5.19/5.42 inference(monotonicity,[status(thm)],[8746])).
% 5.19/5.42 tff(8748,plain,
% 5.19/5.42 (((~![X0: $i, X1: $i, X2: $i] : ((~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X2, X1)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X1, X2)))))) | (~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X1, X2)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X2, X1)))))))) | ((~((~(mult(mult(mult(a, c), mult(mult(b, a), mult(a, c))), mult(b, a)) = mult(mult(a, c), mult(mult(b, a), mult(mult(b, a), mult(a, c)))))) | (~(mult(mult(mult(a, c), mult(b, a)), mult(mult(b, a), mult(a, c))) = mult(mult(a, c), mult(mult(mult(b, a), mult(a, c)), mult(b, a))))))) | (~((~(mult(mult(mult(a, c), mult(mult(b, a), mult(a, c))), mult(b, a)) = mult(mult(a, c), mult(mult(mult(b, a), mult(a, c)), mult(b, a))))) | (~(mult(mult(mult(a, c), mult(b, a)), mult(mult(b, a), mult(a, c))) = mult(mult(a, c), mult(mult(b, a), mult(mult(b, a), mult(a, c)))))))))) <=> ((~![X0: $i, X1: $i, X2: $i] : ((~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X2, X1)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X1, X2)))))) | (~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X1, X2)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X2, X1)))))))) | (~((~(mult(mult(mult(a, c), mult(b, a)), mult(mult(b, a), mult(a, c))) = mult(mult(a, c), mult(mult(mult(b, a), mult(a, c)), mult(b, a))))) | (~(mult(mult(mult(a, c), mult(mult(b, a), mult(a, c))), mult(b, a)) = mult(mult(a, c), mult(mult(b, a), mult(mult(b, a), mult(a, c)))))))) | (~((~(mult(mult(mult(a, c), mult(mult(b, a), mult(a, c))), mult(b, a)) = mult(mult(a, c), mult(mult(mult(b, a), mult(a, c)), mult(b, a))))) | (~(mult(mult(mult(a, c), mult(b, a)), mult(mult(b, a), mult(a, c))) = mult(mult(a, c), mult(mult(b, a), mult(mult(b, a), mult(a, c)))))))))),
% 5.19/5.43 inference(transitivity,[status(thm)],[8747, 8745])).
% 5.19/5.43 tff(8749,plain,
% 5.19/5.43 ((~![X0: $i, X1: $i, X2: $i] : ((~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X2, X1)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X1, X2)))))) | (~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X1, X2)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X2, X1)))))))) | ((~((~(mult(mult(mult(a, c), mult(mult(b, a), mult(a, c))), mult(b, a)) = mult(mult(a, c), mult(mult(b, a), mult(mult(b, a), mult(a, c)))))) | (~(mult(mult(mult(a, c), mult(b, a)), mult(mult(b, a), mult(a, c))) = mult(mult(a, c), mult(mult(mult(b, a), mult(a, c)), mult(b, a))))))) | (~((~(mult(mult(mult(a, c), mult(mult(b, a), mult(a, c))), mult(b, a)) = mult(mult(a, c), mult(mult(mult(b, a), mult(a, c)), mult(b, a))))) | (~(mult(mult(mult(a, c), mult(b, a)), mult(mult(b, a), mult(a, c))) = mult(mult(a, c), mult(mult(b, a), mult(mult(b, a), mult(a, c)))))))))),
% 5.19/5.43 inference(quant_inst,[status(thm)],[])).
% 5.19/5.43 tff(8750,plain,
% 5.19/5.43 ((~![X0: $i, X1: $i, X2: $i] : ((~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X2, X1)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X1, X2)))))) | (~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X1, X2)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X2, X1)))))))) | (~((~(mult(mult(mult(a, c), mult(b, a)), mult(mult(b, a), mult(a, c))) = mult(mult(a, c), mult(mult(mult(b, a), mult(a, c)), mult(b, a))))) | (~(mult(mult(mult(a, c), mult(mult(b, a), mult(a, c))), mult(b, a)) = mult(mult(a, c), mult(mult(b, a), mult(mult(b, a), mult(a, c)))))))) | (~((~(mult(mult(mult(a, c), mult(mult(b, a), mult(a, c))), mult(b, a)) = mult(mult(a, c), mult(mult(mult(b, a), mult(a, c)), mult(b, a))))) | (~(mult(mult(mult(a, c), mult(b, a)), mult(mult(b, a), mult(a, c))) = mult(mult(a, c), mult(mult(b, a), mult(mult(b, a), mult(a, c))))))))),
% 5.19/5.43 inference(modus_ponens,[status(thm)],[8749, 8748])).
% 5.19/5.43 tff(8751,plain,
% 5.19/5.43 ((~((~(mult(mult(mult(a, c), mult(b, a)), mult(mult(b, a), mult(a, c))) = mult(mult(a, c), mult(mult(mult(b, a), mult(a, c)), mult(b, a))))) | (~(mult(mult(mult(a, c), mult(mult(b, a), mult(a, c))), mult(b, a)) = mult(mult(a, c), mult(mult(b, a), mult(mult(b, a), mult(a, c)))))))) | (~((~(mult(mult(mult(a, c), mult(mult(b, a), mult(a, c))), mult(b, a)) = mult(mult(a, c), mult(mult(mult(b, a), mult(a, c)), mult(b, a))))) | (~(mult(mult(mult(a, c), mult(b, a)), mult(mult(b, a), mult(a, c))) = mult(mult(a, c), mult(mult(b, a), mult(mult(b, a), mult(a, c))))))))),
% 5.19/5.43 inference(unit_resolution,[status(thm)],[8750, 30])).
% 5.19/5.43 tff(8752,plain,
% 5.19/5.43 (~((~(mult(mult(mult(a, c), mult(b, a)), mult(mult(b, a), mult(a, c))) = mult(mult(a, c), mult(mult(mult(b, a), mult(a, c)), mult(b, a))))) | (~(mult(mult(mult(a, c), mult(mult(b, a), mult(a, c))), mult(b, a)) = mult(mult(a, c), mult(mult(b, a), mult(mult(b, a), mult(a, c)))))))),
% 5.19/5.43 inference(unit_resolution,[status(thm)],[8751, 8744])).
% 5.19/5.43 tff(8753,plain,
% 5.19/5.43 (((~(mult(mult(mult(a, c), mult(b, a)), mult(mult(b, a), mult(a, c))) = mult(mult(a, c), mult(mult(mult(b, a), mult(a, c)), mult(b, a))))) | (~(mult(mult(mult(a, c), mult(mult(b, a), mult(a, c))), mult(b, a)) = mult(mult(a, c), mult(mult(b, a), mult(mult(b, a), mult(a, c))))))) | (mult(mult(mult(a, c), mult(mult(b, a), mult(a, c))), mult(b, a)) = mult(mult(a, c), mult(mult(b, a), mult(mult(b, a), mult(a, c)))))),
% 5.19/5.43 inference(tautology,[status(thm)],[])).
% 5.19/5.43 tff(8754,plain,
% 5.19/5.43 ($false),
% 5.19/5.43 inference(unit_resolution,[status(thm)],[8753, 8752, 8742])).
% 5.19/5.43 tff(8755,plain,((mult(mult(mult(a, c), mult(mult(b, a), mult(a, c))), mult(b, a)) = mult(mult(a, c), mult(mult(mult(b, a), mult(a, c)), mult(b, a)))) | (~(mult(mult(mult(b, a), mult(a, c)), mult(b, a)) = mult(mult(b, a), mult(mult(b, a), mult(a, c)))))), inference(lemma,lemma(discharge,[]))).
% 5.19/5.43 tff(8756,plain,
% 5.19/5.43 (mult(mult(mult(a, c), mult(mult(b, a), mult(a, c))), mult(b, a)) = mult(mult(a, c), mult(mult(mult(b, a), mult(a, c)), mult(b, a)))),
% 5.19/5.43 inference(unit_resolution,[status(thm)],[8755, 8733])).
% 5.19/5.43 tff(8757,plain,
% 5.19/5.43 ((~![B: $i, A: $i] : (rd(mult(A, B), B) = A)) | (rd(mult(mult(mult(a, c), mult(mult(b, a), mult(a, c))), mult(b, a)), mult(b, a)) = mult(mult(a, c), mult(mult(b, a), mult(a, c))))),
% 5.19/5.43 inference(quant_inst,[status(thm)],[])).
% 5.19/5.43 tff(8758,plain,
% 5.19/5.43 (rd(mult(mult(mult(a, c), mult(mult(b, a), mult(a, c))), mult(b, a)), mult(b, a)) = mult(mult(a, c), mult(mult(b, a), mult(a, c)))),
% 5.19/5.43 inference(unit_resolution,[status(thm)],[8757, 72])).
% 5.19/5.43 tff(8759,plain,
% 5.19/5.43 (mult(mult(a, c), mult(mult(mult(b, a), mult(a, c)), mult(b, a))) = mult(mult(mult(mult(a, c), mult(b, a)), mult(a, c)), mult(b, a))),
% 5.19/5.43 inference(symmetry,[status(thm)],[7198])).
% 5.19/5.43 tff(8760,assumption,(mult(mult(mult(a, c), mult(mult(b, a), mult(a, c))), mult(b, a)) = mult(mult(a, c), mult(mult(mult(b, a), mult(a, c)), mult(b, a)))), introduced(assumption)).
% 5.19/5.43 tff(8761,plain,
% 5.19/5.43 (mult(mult(mult(a, c), mult(mult(b, a), mult(a, c))), mult(b, a)) = mult(mult(mult(mult(a, c), mult(b, a)), mult(a, c)), mult(b, a))),
% 5.19/5.43 inference(transitivity,[status(thm)],[8760, 8759])).
% 5.19/5.43 tff(8762,plain,
% 5.19/5.43 (rd(mult(mult(mult(a, c), mult(mult(b, a), mult(a, c))), mult(b, a)), mult(b, a)) = rd(mult(mult(mult(mult(a, c), mult(b, a)), mult(a, c)), mult(b, a)), mult(b, a))),
% 5.19/5.43 inference(monotonicity,[status(thm)],[8761])).
% 5.19/5.43 tff(8763,plain,
% 5.19/5.43 (rd(mult(mult(mult(mult(a, c), mult(b, a)), mult(a, c)), mult(b, a)), mult(b, a)) = rd(mult(mult(mult(a, c), mult(mult(b, a), mult(a, c))), mult(b, a)), mult(b, a))),
% 5.19/5.43 inference(symmetry,[status(thm)],[8762])).
% 5.19/5.43 tff(8764,plain,
% 5.19/5.43 ((~![B: $i, A: $i] : (rd(mult(A, B), B) = A)) | (rd(mult(mult(mult(mult(a, c), mult(b, a)), mult(a, c)), mult(b, a)), mult(b, a)) = mult(mult(mult(a, c), mult(b, a)), mult(a, c)))),
% 5.19/5.43 inference(quant_inst,[status(thm)],[])).
% 5.19/5.43 tff(8765,plain,
% 5.19/5.43 (rd(mult(mult(mult(mult(a, c), mult(b, a)), mult(a, c)), mult(b, a)), mult(b, a)) = mult(mult(mult(a, c), mult(b, a)), mult(a, c))),
% 5.19/5.43 inference(unit_resolution,[status(thm)],[8764, 72])).
% 5.19/5.43 tff(8766,plain,
% 5.19/5.43 (mult(mult(mult(a, c), mult(b, a)), mult(a, c)) = rd(mult(mult(mult(mult(a, c), mult(b, a)), mult(a, c)), mult(b, a)), mult(b, a))),
% 5.19/5.43 inference(symmetry,[status(thm)],[8765])).
% 5.19/5.43 tff(8767,plain,
% 5.19/5.43 (mult(mult(mult(a, c), mult(b, a)), mult(a, c)) = mult(mult(a, c), mult(mult(b, a), mult(a, c)))),
% 5.19/5.43 inference(transitivity,[status(thm)],[8766, 8763, 8758])).
% 5.19/5.43 tff(8768,assumption,(~(mult(mult(mult(a, c), mult(b, a)), mult(a, c)) = mult(mult(a, c), mult(mult(b, a), mult(a, c))))), introduced(assumption)).
% 5.19/5.43 tff(8769,plain,
% 5.19/5.43 ($false),
% 5.19/5.43 inference(unit_resolution,[status(thm)],[8768, 8767])).
% 5.19/5.43 tff(8770,plain,((~(mult(mult(mult(a, c), mult(mult(b, a), mult(a, c))), mult(b, a)) = mult(mult(a, c), mult(mult(mult(b, a), mult(a, c)), mult(b, a))))) | (mult(mult(mult(a, c), mult(b, a)), mult(a, c)) = mult(mult(a, c), mult(mult(b, a), mult(a, c))))), inference(lemma,lemma(discharge,[]))).
% 5.19/5.43 tff(8771,plain,
% 5.19/5.43 (mult(mult(mult(a, c), mult(b, a)), mult(a, c)) = mult(mult(a, c), mult(mult(b, a), mult(a, c)))),
% 5.19/5.43 inference(unit_resolution,[status(thm)],[8770, 8756])).
% 5.19/5.43 tff(8772,plain,
% 5.19/5.43 (~(mult(mult(a, mult(a, mult(c, b))), a) = mult(a, mult(a, mult(a, mult(c, b)))))),
% 5.19/5.43 inference(unit_resolution,[status(thm)],[5422, 8701, 8184, 8177, 91])).
% 5.19/5.43 tff(8773,plain,
% 5.19/5.43 ((~![B: $i, A: $i] : (rd(mult(A, B), B) = A)) | (rd(mult(mult(a, mult(a, mult(a, mult(c, b)))), c), c) = mult(a, mult(a, mult(a, mult(c, b)))))),
% 5.19/5.43 inference(quant_inst,[status(thm)],[])).
% 5.19/5.43 tff(8774,plain,
% 5.19/5.43 (rd(mult(mult(a, mult(a, mult(a, mult(c, b)))), c), c) = mult(a, mult(a, mult(a, mult(c, b))))),
% 5.19/5.43 inference(unit_resolution,[status(thm)],[8773, 72])).
% 5.19/5.43 tff(8775,plain,
% 5.19/5.43 (rd(mult(mult(mult(a, c), mult(b, a)), b), b) = rd(mult(mult(mult(mult(a, c), b), a), b), b)),
% 5.19/5.43 inference(symmetry,[status(thm)],[3581])).
% 5.19/5.43 tff(8776,plain,
% 5.19/5.43 (mult(mult(a, c), mult(b, a)) = mult(mult(a, a), mult(c, b))),
% 5.19/5.43 inference(transitivity,[status(thm)],[8468, 8775, 3563, 594, 593, 112, 8186])).
% 5.19/5.43 tff(8777,plain,
% 5.19/5.43 (mult(mult(mult(a, c), mult(b, a)), a) = mult(mult(mult(a, a), mult(c, b)), a)),
% 5.19/5.43 inference(monotonicity,[status(thm)],[8776])).
% 5.19/5.43 tff(8778,plain,
% 5.19/5.43 (mult(mult(mult(a, a), mult(c, b)), a) = mult(mult(mult(a, c), mult(b, a)), a)),
% 5.19/5.43 inference(symmetry,[status(thm)],[8777])).
% 5.19/5.43 tff(8779,plain,
% 5.19/5.43 (mult(a, mult(mult(a, mult(c, b)), a)) = mult(mult(mult(a, c), mult(b, a)), a)),
% 5.19/5.43 inference(transitivity,[status(thm)],[5873, 8778])).
% 5.19/5.43 tff(8780,plain,
% 5.19/5.43 (mult(mult(a, mult(mult(a, mult(c, b)), a)), c) = mult(mult(mult(mult(a, c), mult(b, a)), a), c)),
% 5.19/5.43 inference(monotonicity,[status(thm)],[8779])).
% 5.19/5.43 tff(8781,plain,
% 5.19/5.43 (mult(mult(mult(mult(a, c), mult(b, a)), a), c) = mult(mult(a, mult(mult(a, mult(c, b)), a)), c)),
% 5.19/5.43 inference(symmetry,[status(thm)],[8780])).
% 5.19/5.43 tff(8782,plain,
% 5.19/5.43 (mult(a, mult(mult(b, c), a)) = mult(a, mult(a, mult(c, b)))),
% 5.19/5.43 inference(transitivity,[status(thm)],[1424, 215, 594, 593, 112])).
% 5.19/5.43 tff(8783,plain,
% 5.19/5.43 (ld(a, mult(a, mult(mult(b, c), a))) = ld(a, mult(a, mult(a, mult(c, b))))),
% 5.19/5.43 inference(monotonicity,[status(thm)],[8782])).
% 5.19/5.43 tff(8784,plain,
% 5.19/5.43 (ld(a, mult(a, mult(a, mult(c, b)))) = ld(a, mult(a, mult(mult(b, c), a)))),
% 5.19/5.43 inference(symmetry,[status(thm)],[8783])).
% 5.19/5.43 tff(8785,plain,
% 5.19/5.43 (mult(a, mult(c, b)) = mult(mult(b, c), a)),
% 5.19/5.43 inference(transitivity,[status(thm)],[803, 8784, 4716])).
% 5.19/5.43 tff(8786,plain,
% 5.19/5.43 (mult(mult(a, mult(c, b)), a) = mult(mult(mult(b, c), a), a)),
% 5.19/5.43 inference(monotonicity,[status(thm)],[8785])).
% 5.19/5.43 tff(8787,plain,
% 5.19/5.43 (ld(mult(a, c), mult(mult(a, c), mult(b, a))) = ld(mult(a, c), mult(mult(a, c), mult(a, b)))),
% 5.19/5.43 inference(symmetry,[status(thm)],[8390])).
% 5.19/5.43 tff(8788,plain,
% 5.19/5.43 (mult(b, a) = mult(a, b)),
% 5.19/5.43 inference(transitivity,[status(thm)],[3339, 8787, 2368])).
% 5.19/5.43 tff(8789,plain,
% 5.19/5.43 (mult(mult(b, a), c) = mult(mult(a, b), c)),
% 5.19/5.43 inference(monotonicity,[status(thm)],[8788])).
% 5.19/5.43 tff(8790,plain,
% 5.19/5.43 (mult(b, mult(c, a)) = mult(a, mult(c, b))),
% 5.19/5.43 inference(transitivity,[status(thm)],[3531, 8789, 106])).
% 5.19/5.43 tff(8791,plain,
% 5.19/5.43 (mult(mult(b, mult(c, a)), a) = mult(mult(a, mult(c, b)), a)),
% 5.19/5.43 inference(monotonicity,[status(thm)],[8790])).
% 5.19/5.43 tff(8792,plain,
% 5.19/5.43 (mult(b, mult(mult(a, c), a)) = mult(b, mult(a, mult(a, c)))),
% 5.19/5.43 inference(transitivity,[status(thm)],[863, 4656, 8791, 8786, 8406, 5328])).
% 5.19/5.43 tff(8793,plain,
% 5.19/5.43 (ld(b, mult(b, mult(mult(a, c), a))) = ld(b, mult(b, mult(a, mult(a, c))))),
% 5.19/5.43 inference(monotonicity,[status(thm)],[8792])).
% 5.19/5.43 tff(8794,plain,
% 5.19/5.43 (mult(mult(a, c), a) = mult(a, mult(a, c))),
% 5.19/5.43 inference(transitivity,[status(thm)],[3638, 8793, 8421])).
% 5.19/5.43 tff(8795,plain,
% 5.19/5.43 (mult(mult(mult(a, c), a), b) = mult(mult(a, mult(a, c)), b)),
% 5.19/5.43 inference(monotonicity,[status(thm)],[8794])).
% 5.19/5.43 tff(8796,plain,
% 5.19/5.43 (mult(mult(mult(a, c), a), b) = mult(mult(a, c), mult(b, a))),
% 5.19/5.43 inference(transitivity,[status(thm)],[8795, 1220, 5357, 1424, 215, 3564, 3581, 3547])).
% 5.27/5.43 tff(8797,plain,
% 5.27/5.43 (mult(mult(mult(mult(a, c), a), b), a) = mult(mult(mult(a, c), mult(b, a)), a)),
% 5.27/5.43 inference(monotonicity,[status(thm)],[8796])).
% 5.27/5.43 tff(8798,plain,
% 5.27/5.43 (mult(mult(b, a), a) = mult(mult(a, b), a)),
% 5.27/5.43 inference(symmetry,[status(thm)],[8474])).
% 5.27/5.43 tff(8799,plain,
% 5.27/5.43 (mult(mult(a, c), mult(mult(b, a), a)) = mult(mult(a, c), mult(mult(a, b), a))),
% 5.27/5.43 inference(monotonicity,[status(thm)],[8798])).
% 5.27/5.43 tff(8800,plain,
% 5.27/5.43 (mult(mult(a, c), mult(mult(b, a), a)) = mult(mult(mult(a, c), mult(b, a)), a)),
% 5.27/5.43 inference(transitivity,[status(thm)],[8799, 1532, 8797])).
% 5.27/5.43 tff(8801,plain,
% 5.27/5.43 (mult(mult(mult(a, c), mult(mult(b, a), a)), c) = mult(mult(mult(mult(a, c), mult(b, a)), a), c)),
% 5.27/5.43 inference(monotonicity,[status(thm)],[8800])).
% 5.27/5.43 tff(8802,plain,
% 5.27/5.43 ((~![C: $i, B: $i, A: $i] : (mult(mult(mult(A, B), C), B) = mult(A, mult(mult(B, C), B)))) | (mult(mult(mult(a, c), mult(mult(b, a), a)), c) = mult(a, mult(mult(c, mult(mult(b, a), a)), c)))),
% 5.27/5.43 inference(quant_inst,[status(thm)],[])).
% 5.27/5.43 tff(8803,plain,
% 5.27/5.43 (mult(mult(mult(a, c), mult(mult(b, a), a)), c) = mult(a, mult(mult(c, mult(mult(b, a), a)), c))),
% 5.27/5.43 inference(unit_resolution,[status(thm)],[8802, 860])).
% 5.27/5.43 tff(8804,plain,
% 5.27/5.43 (mult(a, mult(mult(c, mult(mult(b, a), a)), c)) = mult(mult(mult(a, c), mult(mult(b, a), a)), c)),
% 5.27/5.43 inference(symmetry,[status(thm)],[8803])).
% 5.27/5.43 tff(8805,plain,
% 5.27/5.43 (mult(b, mult(c, a)) = mult(b, mult(a, c))),
% 5.27/5.43 inference(transitivity,[status(thm)],[3531, 8789, 106, 803, 8784, 4716, 3433])).
% 5.27/5.43 tff(8806,plain,
% 5.27/5.43 (ld(b, mult(b, mult(c, a))) = ld(b, mult(b, mult(a, c)))),
% 5.27/5.43 inference(monotonicity,[status(thm)],[8805])).
% 5.27/5.43 tff(8807,plain,
% 5.27/5.43 (mult(c, a) = mult(a, c)),
% 5.27/5.43 inference(transitivity,[status(thm)],[4154, 8806, 3523])).
% 5.27/5.43 tff(8808,plain,
% 5.27/5.43 (mult(mult(c, a), b) = mult(mult(a, c), b)),
% 5.27/5.43 inference(monotonicity,[status(thm)],[8807])).
% 5.27/5.43 tff(8809,plain,
% 5.27/5.43 (mult(mult(mult(c, a), b), a) = mult(mult(mult(a, c), b), a)),
% 5.27/5.43 inference(monotonicity,[status(thm)],[8808])).
% 5.27/5.43 tff(8810,plain,
% 5.27/5.43 (mult(c, mult(mult(b, a), a)) = mult(c, mult(mult(a, b), a))),
% 5.27/5.43 inference(monotonicity,[status(thm)],[8798])).
% 5.27/5.43 tff(8811,plain,
% 5.27/5.43 (mult(c, mult(mult(b, a), a)) = mult(mult(a, c), mult(b, a))),
% 5.27/5.43 inference(transitivity,[status(thm)],[8810, 2808, 8809, 3564, 3581, 3547])).
% 5.27/5.43 tff(8812,plain,
% 5.27/5.43 (mult(mult(c, mult(mult(b, a), a)), c) = mult(mult(mult(a, c), mult(b, a)), c)),
% 5.27/5.43 inference(monotonicity,[status(thm)],[8811])).
% 5.27/5.43 tff(8813,plain,
% 5.27/5.43 (mult(mult(mult(a, c), mult(b, a)), c) = mult(mult(c, mult(mult(b, a), a)), c)),
% 5.27/5.43 inference(symmetry,[status(thm)],[8812])).
% 5.27/5.43 tff(8814,plain,
% 5.27/5.43 ((~![B: $i, A: $i] : (rd(mult(A, B), B) = A)) | (rd(mult(mult(mult(mult(a, c), mult(b, a)), c), a), a) = mult(mult(mult(a, c), mult(b, a)), c))),
% 5.27/5.43 inference(quant_inst,[status(thm)],[])).
% 5.27/5.43 tff(8815,plain,
% 5.27/5.43 (rd(mult(mult(mult(mult(a, c), mult(b, a)), c), a), a) = mult(mult(mult(a, c), mult(b, a)), c)),
% 5.27/5.43 inference(unit_resolution,[status(thm)],[8814, 72])).
% 5.27/5.43 tff(8816,plain,
% 5.27/5.43 ((~![C: $i, B: $i, A: $i] : (mult(mult(mult(A, B), C), B) = mult(A, mult(mult(B, C), B)))) | (mult(mult(mult(mult(a, c), a), mult(c, b)), a) = mult(mult(a, c), mult(mult(a, mult(c, b)), a)))),
% 5.27/5.43 inference(quant_inst,[status(thm)],[])).
% 5.27/5.43 tff(8817,plain,
% 5.27/5.43 (mult(mult(mult(mult(a, c), a), mult(c, b)), a) = mult(mult(a, c), mult(mult(a, mult(c, b)), a))),
% 5.27/5.43 inference(unit_resolution,[status(thm)],[8816, 860])).
% 5.27/5.43 tff(8818,plain,
% 5.27/5.43 (mult(mult(a, c), mult(mult(a, mult(c, b)), a)) = mult(mult(mult(mult(a, c), a), mult(c, b)), a)),
% 5.27/5.43 inference(symmetry,[status(thm)],[8817])).
% 5.27/5.43 tff(8819,plain,
% 5.27/5.43 (mult(mult(a, c), mult(mult(a, mult(c, b)), a)) = mult(mult(a, c), mult(mult(mult(b, c), a), a))),
% 5.27/5.43 inference(monotonicity,[status(thm)],[8786])).
% 5.27/5.43 tff(8820,plain,
% 5.27/5.43 (mult(mult(a, c), mult(mult(mult(b, c), a), a)) = mult(mult(a, c), mult(mult(a, mult(c, b)), a))),
% 5.27/5.43 inference(symmetry,[status(thm)],[8819])).
% 5.27/5.43 tff(8821,plain,
% 5.27/5.43 (mult(mult(a, b), mult(a, c)) = mult(mult(b, a), mult(a, c))),
% 5.27/5.43 inference(monotonicity,[status(thm)],[8391])).
% 5.27/5.44 tff(8822,plain,
% 5.27/5.44 (mult(mult(b, a), mult(a, c)) = mult(mult(a, b), mult(a, c))),
% 5.27/5.44 inference(symmetry,[status(thm)],[8821])).
% 5.27/5.44 tff(8823,plain,
% 5.27/5.44 (mult(mult(a, mult(c, b)), a) = mult(mult(b, mult(c, a)), a)),
% 5.27/5.44 inference(symmetry,[status(thm)],[8791])).
% 5.27/5.44 tff(8824,plain,
% 5.27/5.44 (mult(mult(mult(b, c), a), a) = mult(mult(a, mult(c, b)), a)),
% 5.27/5.44 inference(symmetry,[status(thm)],[8786])).
% 5.27/5.44 tff(8825,plain,
% 5.27/5.44 (mult(mult(mult(b, c), a), a) = mult(a, mult(mult(a, c), b))),
% 5.27/5.44 inference(transitivity,[status(thm)],[8824, 8823, 4657, 3530, 8822, 167])).
% 5.27/5.44 tff(8826,plain,
% 5.27/5.44 (mult(mult(a, c), mult(mult(mult(b, c), a), a)) = mult(mult(a, c), mult(a, mult(mult(a, c), b)))),
% 5.27/5.44 inference(monotonicity,[status(thm)],[8825])).
% 5.27/5.44 tff(8827,plain,
% 5.27/5.44 (mult(mult(a, c), mult(a, mult(mult(a, c), b))) = mult(mult(a, c), mult(mult(mult(b, c), a), a))),
% 5.27/5.44 inference(symmetry,[status(thm)],[8826])).
% 5.27/5.44 tff(8828,plain,
% 5.27/5.44 (mult(a, mult(mult(a, c), b)) = mult(mult(b, a), mult(a, c))),
% 5.27/5.44 inference(transitivity,[status(thm)],[811, 8821])).
% 5.27/5.44 tff(8829,plain,
% 5.27/5.44 (mult(mult(a, c), mult(a, mult(mult(a, c), b))) = mult(mult(a, c), mult(mult(b, a), mult(a, c)))),
% 5.27/5.44 inference(monotonicity,[status(thm)],[8828])).
% 5.27/5.44 tff(8830,plain,
% 5.27/5.44 (mult(mult(a, c), mult(mult(b, a), mult(a, c))) = mult(mult(a, c), mult(a, mult(mult(a, c), b)))),
% 5.27/5.44 inference(symmetry,[status(thm)],[8829])).
% 5.27/5.44 tff(8831,assumption,(mult(mult(mult(a, c), mult(b, a)), mult(a, c)) = mult(mult(a, c), mult(mult(b, a), mult(a, c)))), introduced(assumption)).
% 5.27/5.44 tff(8832,plain,
% 5.27/5.44 (mult(mult(mult(a, c), mult(b, a)), mult(c, a)) = mult(mult(mult(a, c), mult(b, a)), mult(a, c))),
% 5.27/5.44 inference(monotonicity,[status(thm)],[8807])).
% 5.27/5.44 tff(8833,plain,
% 5.27/5.44 ((mult(mult(mult(mult(a, c), mult(b, a)), c), a) = mult(mult(mult(a, c), mult(b, a)), mult(c, a))) <=> (mult(mult(mult(mult(a, c), mult(b, a)), c), a) = mult(mult(mult(a, c), mult(b, a)), mult(a, c)))),
% 5.27/5.44 inference(monotonicity,[status(thm)],[8832])).
% 5.27/5.44 tff(8834,assumption,(~(mult(mult(mult(mult(a, c), mult(b, a)), c), a) = mult(mult(mult(a, c), mult(b, a)), mult(a, c)))), introduced(assumption)).
% 5.27/5.44 tff(8835,plain,
% 5.27/5.44 (((~(mult(mult(mult(mult(a, c), mult(b, a)), a), c) = mult(mult(mult(a, c), mult(b, a)), mult(c, a)))) | (~(mult(mult(mult(mult(a, c), mult(b, a)), c), a) = mult(mult(mult(a, c), mult(b, a)), mult(a, c))))) | (mult(mult(mult(mult(a, c), mult(b, a)), c), a) = mult(mult(mult(a, c), mult(b, a)), mult(a, c)))),
% 5.27/5.44 inference(tautology,[status(thm)],[])).
% 5.27/5.44 tff(8836,plain,
% 5.27/5.44 ((~(mult(mult(mult(mult(a, c), mult(b, a)), a), c) = mult(mult(mult(a, c), mult(b, a)), mult(c, a)))) | (~(mult(mult(mult(mult(a, c), mult(b, a)), c), a) = mult(mult(mult(a, c), mult(b, a)), mult(a, c))))),
% 5.27/5.44 inference(unit_resolution,[status(thm)],[8835, 8834])).
% 5.27/5.44 tff(8837,plain,
% 5.27/5.44 (((~![X0: $i, X1: $i, X2: $i] : ((~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X2, X1)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X1, X2)))))) | (~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X1, X2)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X2, X1)))))))) | ((~((~(mult(mult(mult(mult(a, c), mult(b, a)), a), c) = mult(mult(mult(a, c), mult(b, a)), mult(a, c)))) | (~(mult(mult(mult(mult(a, c), mult(b, a)), c), a) = mult(mult(mult(a, c), mult(b, a)), mult(c, a)))))) | (~((~(mult(mult(mult(mult(a, c), mult(b, a)), a), c) = mult(mult(mult(a, c), mult(b, a)), mult(c, a)))) | (~(mult(mult(mult(mult(a, c), mult(b, a)), c), a) = mult(mult(mult(a, c), mult(b, a)), mult(a, c)))))))) <=> ((~![X0: $i, X1: $i, X2: $i] : ((~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X2, X1)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X1, X2)))))) | (~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X1, X2)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X2, X1)))))))) | (~((~(mult(mult(mult(mult(a, c), mult(b, a)), a), c) = mult(mult(mult(a, c), mult(b, a)), mult(a, c)))) | (~(mult(mult(mult(mult(a, c), mult(b, a)), c), a) = mult(mult(mult(a, c), mult(b, a)), mult(c, a)))))) | (~((~(mult(mult(mult(mult(a, c), mult(b, a)), a), c) = mult(mult(mult(a, c), mult(b, a)), mult(c, a)))) | (~(mult(mult(mult(mult(a, c), mult(b, a)), c), a) = mult(mult(mult(a, c), mult(b, a)), mult(a, c)))))))),
% 5.27/5.44 inference(rewrite,[status(thm)],[])).
% 5.27/5.44 tff(8838,plain,
% 5.27/5.44 (((~((~(mult(mult(mult(mult(a, c), mult(b, a)), a), c) = mult(mult(mult(a, c), mult(b, a)), mult(c, a)))) | (~(mult(mult(mult(mult(a, c), mult(b, a)), c), a) = mult(mult(mult(a, c), mult(b, a)), mult(a, c)))))) | (~((~(mult(mult(mult(mult(a, c), mult(b, a)), a), c) = mult(mult(mult(a, c), mult(b, a)), mult(a, c)))) | (~(mult(mult(mult(mult(a, c), mult(b, a)), c), a) = mult(mult(mult(a, c), mult(b, a)), mult(c, a))))))) <=> ((~((~(mult(mult(mult(mult(a, c), mult(b, a)), a), c) = mult(mult(mult(a, c), mult(b, a)), mult(a, c)))) | (~(mult(mult(mult(mult(a, c), mult(b, a)), c), a) = mult(mult(mult(a, c), mult(b, a)), mult(c, a)))))) | (~((~(mult(mult(mult(mult(a, c), mult(b, a)), a), c) = mult(mult(mult(a, c), mult(b, a)), mult(c, a)))) | (~(mult(mult(mult(mult(a, c), mult(b, a)), c), a) = mult(mult(mult(a, c), mult(b, a)), mult(a, c)))))))),
% 5.27/5.44 inference(rewrite,[status(thm)],[])).
% 5.27/5.44 tff(8839,plain,
% 5.27/5.44 (((~![X0: $i, X1: $i, X2: $i] : ((~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X2, X1)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X1, X2)))))) | (~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X1, X2)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X2, X1)))))))) | ((~((~(mult(mult(mult(mult(a, c), mult(b, a)), a), c) = mult(mult(mult(a, c), mult(b, a)), mult(c, a)))) | (~(mult(mult(mult(mult(a, c), mult(b, a)), c), a) = mult(mult(mult(a, c), mult(b, a)), mult(a, c)))))) | (~((~(mult(mult(mult(mult(a, c), mult(b, a)), a), c) = mult(mult(mult(a, c), mult(b, a)), mult(a, c)))) | (~(mult(mult(mult(mult(a, c), mult(b, a)), c), a) = mult(mult(mult(a, c), mult(b, a)), mult(c, a)))))))) <=> ((~![X0: $i, X1: $i, X2: $i] : ((~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X2, X1)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X1, X2)))))) | (~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X1, X2)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X2, X1)))))))) | ((~((~(mult(mult(mult(mult(a, c), mult(b, a)), a), c) = mult(mult(mult(a, c), mult(b, a)), mult(a, c)))) | (~(mult(mult(mult(mult(a, c), mult(b, a)), c), a) = mult(mult(mult(a, c), mult(b, a)), mult(c, a)))))) | (~((~(mult(mult(mult(mult(a, c), mult(b, a)), a), c) = mult(mult(mult(a, c), mult(b, a)), mult(c, a)))) | (~(mult(mult(mult(mult(a, c), mult(b, a)), c), a) = mult(mult(mult(a, c), mult(b, a)), mult(a, c))))))))),
% 5.27/5.44 inference(monotonicity,[status(thm)],[8838])).
% 5.27/5.44 tff(8840,plain,
% 5.27/5.44 (((~![X0: $i, X1: $i, X2: $i] : ((~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X2, X1)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X1, X2)))))) | (~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X1, X2)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X2, X1)))))))) | ((~((~(mult(mult(mult(mult(a, c), mult(b, a)), a), c) = mult(mult(mult(a, c), mult(b, a)), mult(c, a)))) | (~(mult(mult(mult(mult(a, c), mult(b, a)), c), a) = mult(mult(mult(a, c), mult(b, a)), mult(a, c)))))) | (~((~(mult(mult(mult(mult(a, c), mult(b, a)), a), c) = mult(mult(mult(a, c), mult(b, a)), mult(a, c)))) | (~(mult(mult(mult(mult(a, c), mult(b, a)), c), a) = mult(mult(mult(a, c), mult(b, a)), mult(c, a)))))))) <=> ((~![X0: $i, X1: $i, X2: $i] : ((~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X2, X1)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X1, X2)))))) | (~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X1, X2)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X2, X1)))))))) | (~((~(mult(mult(mult(mult(a, c), mult(b, a)), a), c) = mult(mult(mult(a, c), mult(b, a)), mult(a, c)))) | (~(mult(mult(mult(mult(a, c), mult(b, a)), c), a) = mult(mult(mult(a, c), mult(b, a)), mult(c, a)))))) | (~((~(mult(mult(mult(mult(a, c), mult(b, a)), a), c) = mult(mult(mult(a, c), mult(b, a)), mult(c, a)))) | (~(mult(mult(mult(mult(a, c), mult(b, a)), c), a) = mult(mult(mult(a, c), mult(b, a)), mult(a, c)))))))),
% 5.27/5.44 inference(transitivity,[status(thm)],[8839, 8837])).
% 5.27/5.44 tff(8841,plain,
% 5.27/5.44 ((~![X0: $i, X1: $i, X2: $i] : ((~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X2, X1)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X1, X2)))))) | (~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X1, X2)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X2, X1)))))))) | ((~((~(mult(mult(mult(mult(a, c), mult(b, a)), a), c) = mult(mult(mult(a, c), mult(b, a)), mult(c, a)))) | (~(mult(mult(mult(mult(a, c), mult(b, a)), c), a) = mult(mult(mult(a, c), mult(b, a)), mult(a, c)))))) | (~((~(mult(mult(mult(mult(a, c), mult(b, a)), a), c) = mult(mult(mult(a, c), mult(b, a)), mult(a, c)))) | (~(mult(mult(mult(mult(a, c), mult(b, a)), c), a) = mult(mult(mult(a, c), mult(b, a)), mult(c, a)))))))),
% 5.27/5.44 inference(quant_inst,[status(thm)],[])).
% 5.27/5.44 tff(8842,plain,
% 5.27/5.44 ((~![X0: $i, X1: $i, X2: $i] : ((~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X2, X1)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X1, X2)))))) | (~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X1, X2)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X2, X1)))))))) | (~((~(mult(mult(mult(mult(a, c), mult(b, a)), a), c) = mult(mult(mult(a, c), mult(b, a)), mult(a, c)))) | (~(mult(mult(mult(mult(a, c), mult(b, a)), c), a) = mult(mult(mult(a, c), mult(b, a)), mult(c, a)))))) | (~((~(mult(mult(mult(mult(a, c), mult(b, a)), a), c) = mult(mult(mult(a, c), mult(b, a)), mult(c, a)))) | (~(mult(mult(mult(mult(a, c), mult(b, a)), c), a) = mult(mult(mult(a, c), mult(b, a)), mult(a, c))))))),
% 5.27/5.44 inference(modus_ponens,[status(thm)],[8841, 8840])).
% 5.27/5.44 tff(8843,plain,
% 5.27/5.44 ((~((~(mult(mult(mult(mult(a, c), mult(b, a)), a), c) = mult(mult(mult(a, c), mult(b, a)), mult(a, c)))) | (~(mult(mult(mult(mult(a, c), mult(b, a)), c), a) = mult(mult(mult(a, c), mult(b, a)), mult(c, a)))))) | (~((~(mult(mult(mult(mult(a, c), mult(b, a)), a), c) = mult(mult(mult(a, c), mult(b, a)), mult(c, a)))) | (~(mult(mult(mult(mult(a, c), mult(b, a)), c), a) = mult(mult(mult(a, c), mult(b, a)), mult(a, c))))))),
% 5.27/5.44 inference(unit_resolution,[status(thm)],[8842, 30])).
% 5.27/5.44 tff(8844,plain,
% 5.27/5.44 (~((~(mult(mult(mult(mult(a, c), mult(b, a)), a), c) = mult(mult(mult(a, c), mult(b, a)), mult(a, c)))) | (~(mult(mult(mult(mult(a, c), mult(b, a)), c), a) = mult(mult(mult(a, c), mult(b, a)), mult(c, a)))))),
% 5.27/5.44 inference(unit_resolution,[status(thm)],[8843, 8836])).
% 5.27/5.44 tff(8845,plain,
% 5.27/5.44 (((~(mult(mult(mult(mult(a, c), mult(b, a)), a), c) = mult(mult(mult(a, c), mult(b, a)), mult(a, c)))) | (~(mult(mult(mult(mult(a, c), mult(b, a)), c), a) = mult(mult(mult(a, c), mult(b, a)), mult(c, a))))) | (mult(mult(mult(mult(a, c), mult(b, a)), c), a) = mult(mult(mult(a, c), mult(b, a)), mult(c, a)))),
% 5.27/5.44 inference(tautology,[status(thm)],[])).
% 5.27/5.44 tff(8846,plain,
% 5.27/5.44 (mult(mult(mult(mult(a, c), mult(b, a)), c), a) = mult(mult(mult(a, c), mult(b, a)), mult(c, a))),
% 5.27/5.44 inference(unit_resolution,[status(thm)],[8845, 8844])).
% 5.27/5.44 tff(8847,plain,
% 5.27/5.44 (mult(mult(mult(mult(a, c), mult(b, a)), c), a) = mult(mult(mult(a, c), mult(b, a)), mult(a, c))),
% 5.27/5.44 inference(modus_ponens,[status(thm)],[8846, 8833])).
% 5.27/5.44 tff(8848,plain,
% 5.27/5.44 ($false),
% 5.27/5.44 inference(unit_resolution,[status(thm)],[8834, 8847])).
% 5.27/5.44 tff(8849,plain,((mult(mult(mult(mult(a, c), mult(b, a)), c), a) = mult(mult(mult(a, c), mult(b, a)), mult(a, c))) | (~(mult(mult(a, b), c) = mult(a, mult(c, b)))) | (~(mult(mult(a, mult(b, c)), a) = mult(a, mult(mult(b, c), a)))) | (~(mult(mult(a, c), mult(a, b)) = mult(a, mult(mult(a, b), c)))) | (~(mult(mult(mult(a, c), b), a) = mult(mult(a, c), mult(a, b)))) | (~(mult(mult(a, c), b) = mult(a, mult(b, c)))) | (~(mult(mult(mult(a, c), mult(b, a)), b) = mult(mult(a, c), mult(mult(b, a), b))))), inference(lemma,lemma(discharge,[]))).
% 5.27/5.44 tff(8850,plain,
% 5.27/5.44 (mult(mult(mult(mult(a, c), mult(b, a)), c), a) = mult(mult(mult(a, c), mult(b, a)), mult(a, c))),
% 5.27/5.44 inference(unit_resolution,[status(thm)],[8849, 106, 510, 593, 594, 117, 3578])).
% 5.27/5.44 tff(8851,plain,
% 5.27/5.44 (mult(mult(mult(mult(a, c), mult(b, a)), c), a) = mult(mult(mult(mult(a, c), a), mult(c, b)), a)),
% 5.27/5.44 inference(transitivity,[status(thm)],[8850, 8831, 8830, 8827, 8820, 8818])).
% 5.27/5.44 tff(8852,plain,
% 5.27/5.44 (rd(mult(mult(mult(mult(a, c), mult(b, a)), c), a), a) = rd(mult(mult(mult(mult(a, c), a), mult(c, b)), a), a)),
% 5.27/5.44 inference(monotonicity,[status(thm)],[8851])).
% 5.27/5.44 tff(8853,plain,
% 5.27/5.44 (rd(mult(mult(mult(mult(a, c), a), mult(c, b)), a), a) = rd(mult(mult(mult(mult(a, c), mult(b, a)), c), a), a)),
% 5.27/5.44 inference(symmetry,[status(thm)],[8852])).
% 5.27/5.44 tff(8854,plain,
% 5.27/5.44 ((~![B: $i, A: $i] : (rd(mult(A, B), B) = A)) | (rd(mult(mult(mult(mult(a, c), a), mult(c, b)), a), a) = mult(mult(mult(a, c), a), mult(c, b)))),
% 5.27/5.44 inference(quant_inst,[status(thm)],[])).
% 5.27/5.44 tff(8855,plain,
% 5.27/5.44 (rd(mult(mult(mult(mult(a, c), a), mult(c, b)), a), a) = mult(mult(mult(a, c), a), mult(c, b))),
% 5.27/5.44 inference(unit_resolution,[status(thm)],[8854, 72])).
% 5.27/5.44 tff(8856,plain,
% 5.27/5.44 (mult(mult(mult(a, c), a), mult(c, b)) = rd(mult(mult(mult(mult(a, c), a), mult(c, b)), a), a)),
% 5.27/5.44 inference(symmetry,[status(thm)],[8855])).
% 5.27/5.44 tff(8857,plain,
% 5.27/5.44 (ld(b, mult(b, mult(a, mult(a, c)))) = ld(b, mult(b, mult(mult(a, c), a)))),
% 5.27/5.44 inference(symmetry,[status(thm)],[8793])).
% 5.27/5.44 tff(8858,plain,
% 5.27/5.44 (^[B: $i, A: $i] : refl((mult(A, ld(A, B)) = B) <=> (mult(A, ld(A, B)) = B))),
% 5.27/5.44 inference(bind,[status(th)],[])).
% 5.27/5.44 tff(8859,plain,
% 5.27/5.44 (![B: $i, A: $i] : (mult(A, ld(A, B)) = B) <=> ![B: $i, A: $i] : (mult(A, ld(A, B)) = B)),
% 5.27/5.44 inference(quant_intro,[status(thm)],[8858])).
% 5.27/5.44 tff(8860,plain,
% 5.27/5.44 (![B: $i, A: $i] : (mult(A, ld(A, B)) = B) <=> ![B: $i, A: $i] : (mult(A, ld(A, B)) = B)),
% 5.27/5.44 inference(rewrite,[status(thm)],[])).
% 5.27/5.44 tff(8861,axiom,(![B: $i, A: $i] : (mult(A, ld(A, B)) = B)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','f01')).
% 5.27/5.44 tff(8862,plain,
% 5.27/5.44 (![B: $i, A: $i] : (mult(A, ld(A, B)) = B)),
% 5.27/5.44 inference(modus_ponens,[status(thm)],[8861, 8860])).
% 5.27/5.44 tff(8863,plain,(
% 5.27/5.44 ![B: $i, A: $i] : (mult(A, ld(A, B)) = B)),
% 5.27/5.44 inference(skolemize,[status(sab)],[8862])).
% 5.27/5.44 tff(8864,plain,
% 5.27/5.44 (![B: $i, A: $i] : (mult(A, ld(A, B)) = B)),
% 5.27/5.44 inference(modus_ponens,[status(thm)],[8863, 8859])).
% 5.27/5.44 tff(8865,plain,
% 5.27/5.44 ((~![B: $i, A: $i] : (mult(A, ld(A, B)) = B)) | (mult(mult(mult(b, c), a), ld(mult(mult(b, c), a), mult(a, mult(a, c)))) = mult(a, mult(a, c)))),
% 5.27/5.44 inference(quant_inst,[status(thm)],[])).
% 5.27/5.44 tff(8866,plain,
% 5.27/5.44 (mult(mult(mult(b, c), a), ld(mult(mult(b, c), a), mult(a, mult(a, c)))) = mult(a, mult(a, c))),
% 5.27/5.44 inference(unit_resolution,[status(thm)],[8865, 8864])).
% 5.27/5.44 tff(8867,plain,
% 5.27/5.44 (mult(mult(a, mult(c, b)), ld(mult(mult(b, c), a), mult(a, mult(a, c)))) = mult(mult(mult(b, c), a), ld(mult(mult(b, c), a), mult(a, mult(a, c))))),
% 5.27/5.44 inference(monotonicity,[status(thm)],[8785])).
% 5.27/5.44 tff(8868,plain,
% 5.27/5.44 (mult(mult(a, mult(c, b)), ld(mult(mult(b, c), a), mult(a, mult(a, c)))) = mult(mult(a, c), a)),
% 5.27/5.44 inference(transitivity,[status(thm)],[8867, 8866, 8422, 8857, 3447])).
% 5.27/5.44 tff(8869,plain,
% 5.27/5.44 (mult(mult(mult(a, mult(c, b)), ld(mult(mult(b, c), a), mult(a, mult(a, c)))), mult(c, b)) = mult(mult(mult(a, c), a), mult(c, b))),
% 5.27/5.44 inference(monotonicity,[status(thm)],[8868])).
% 5.27/5.44 tff(8870,plain,
% 5.27/5.44 ((~![C: $i, B: $i, A: $i] : (mult(mult(mult(A, B), C), B) = mult(A, mult(mult(B, C), B)))) | (mult(mult(mult(a, mult(c, b)), ld(mult(mult(b, c), a), mult(a, mult(a, c)))), mult(c, b)) = mult(a, mult(mult(mult(c, b), ld(mult(mult(b, c), a), mult(a, mult(a, c)))), mult(c, b))))),
% 5.27/5.44 inference(quant_inst,[status(thm)],[])).
% 5.27/5.44 tff(8871,plain,
% 5.27/5.44 (mult(mult(mult(a, mult(c, b)), ld(mult(mult(b, c), a), mult(a, mult(a, c)))), mult(c, b)) = mult(a, mult(mult(mult(c, b), ld(mult(mult(b, c), a), mult(a, mult(a, c)))), mult(c, b)))),
% 5.27/5.44 inference(unit_resolution,[status(thm)],[8870, 860])).
% 5.27/5.44 tff(8872,plain,
% 5.27/5.44 (mult(a, mult(mult(mult(c, b), ld(mult(mult(b, c), a), mult(a, mult(a, c)))), mult(c, b))) = mult(mult(mult(a, mult(c, b)), ld(mult(mult(b, c), a), mult(a, mult(a, c)))), mult(c, b))),
% 5.27/5.44 inference(symmetry,[status(thm)],[8871])).
% 5.27/5.44 tff(8873,plain,
% 5.27/5.44 (mult(a, mult(mult(mult(c, b), ld(mult(mult(b, c), a), mult(a, mult(a, c)))), mult(c, b))) = mult(mult(c, mult(mult(b, a), a)), c)),
% 5.27/5.44 inference(transitivity,[status(thm)],[8872, 8869, 8856, 8853, 8815, 8813])).
% 5.27/5.44 tff(8874,plain,
% 5.27/5.44 (mult(a, mult(a, mult(mult(mult(c, b), ld(mult(mult(b, c), a), mult(a, mult(a, c)))), mult(c, b)))) = mult(a, mult(mult(c, mult(mult(b, a), a)), c))),
% 5.27/5.44 inference(monotonicity,[status(thm)],[8873])).
% 5.27/5.45 tff(8875,plain,
% 5.27/5.45 (mult(mult(mult(a, c), a), mult(c, b)) = mult(mult(mult(a, mult(c, b)), ld(mult(mult(b, c), a), mult(a, mult(a, c)))), mult(c, b))),
% 5.27/5.45 inference(symmetry,[status(thm)],[8869])).
% 5.27/5.45 tff(8876,plain,
% 5.27/5.45 (mult(mult(mult(a, c), mult(b, a)), c) = rd(mult(mult(mult(mult(a, c), mult(b, a)), c), a), a)),
% 5.27/5.45 inference(symmetry,[status(thm)],[8815])).
% 5.27/5.45 tff(8877,plain,
% 5.27/5.45 (mult(mult(mult(a, c), mult(b, a)), c) = mult(a, mult(mult(mult(c, b), ld(mult(mult(b, c), a), mult(a, mult(a, c)))), mult(c, b)))),
% 5.27/5.45 inference(transitivity,[status(thm)],[8876, 8852, 8855, 8875, 8871])).
% 5.27/5.45 tff(8878,plain,
% 5.27/5.45 (mult(a, mult(mult(mult(a, c), mult(b, a)), c)) = mult(a, mult(a, mult(mult(mult(c, b), ld(mult(mult(b, c), a), mult(a, mult(a, c)))), mult(c, b))))),
% 5.27/5.45 inference(monotonicity,[status(thm)],[8877])).
% 5.27/5.45 tff(8879,plain,
% 5.27/5.45 ((mult(mult(a, c), mult(mult(a, c), mult(b, a))) = mult(mult(mult(a, c), mult(b, a)), mult(a, c))) <=> (mult(mult(mult(a, c), mult(b, a)), mult(a, c)) = mult(mult(a, c), mult(mult(a, c), mult(b, a))))),
% 5.27/5.45 inference(commutativity,[status(thm)],[])).
% 5.27/5.45 tff(8880,plain,
% 5.27/5.45 (mult(a, mult(mult(mult(a, c), mult(b, a)), c)) = mult(mult(mult(a, c), mult(b, a)), mult(a, c))),
% 5.27/5.45 inference(transitivity,[status(thm)],[8878, 8874, 8804, 8801, 6842])).
% 5.27/5.45 tff(8881,plain,
% 5.27/5.45 ((mult(mult(a, c), mult(mult(a, c), mult(b, a))) = mult(a, mult(mult(mult(a, c), mult(b, a)), c))) <=> (mult(mult(a, c), mult(mult(a, c), mult(b, a))) = mult(mult(mult(a, c), mult(b, a)), mult(a, c)))),
% 5.27/5.45 inference(monotonicity,[status(thm)],[8880])).
% 5.27/5.45 tff(8882,plain,
% 5.27/5.45 ((mult(mult(a, c), mult(mult(a, c), mult(b, a))) = mult(a, mult(mult(mult(a, c), mult(b, a)), c))) <=> (mult(mult(mult(a, c), mult(b, a)), mult(a, c)) = mult(mult(a, c), mult(mult(a, c), mult(b, a))))),
% 5.27/5.45 inference(transitivity,[status(thm)],[8881, 8879])).
% 5.27/5.45 tff(8883,plain,
% 5.27/5.45 ((mult(mult(mult(a, c), mult(b, a)), mult(a, c)) = mult(mult(a, c), mult(mult(a, c), mult(b, a)))) <=> (mult(mult(a, c), mult(mult(a, c), mult(b, a))) = mult(a, mult(mult(mult(a, c), mult(b, a)), c)))),
% 5.27/5.45 inference(symmetry,[status(thm)],[8882])).
% 5.27/5.45 tff(8884,plain,
% 5.27/5.45 ((~(mult(mult(mult(a, c), mult(b, a)), mult(a, c)) = mult(mult(a, c), mult(mult(a, c), mult(b, a))))) <=> (~(mult(mult(a, c), mult(mult(a, c), mult(b, a))) = mult(a, mult(mult(mult(a, c), mult(b, a)), c))))),
% 5.27/5.45 inference(monotonicity,[status(thm)],[8883])).
% 5.27/5.45 tff(8885,plain,
% 5.27/5.45 (mult(c, mult(mult(a, b), a)) = mult(mult(a, c), mult(b, a))),
% 5.27/5.45 inference(transitivity,[status(thm)],[2808, 8809, 3564, 3581, 3547])).
% 5.27/5.45 tff(8886,plain,
% 5.27/5.45 (mult(mult(a, c), mult(c, mult(mult(a, b), a))) = mult(mult(a, c), mult(mult(a, c), mult(b, a)))),
% 5.27/5.45 inference(monotonicity,[status(thm)],[8885])).
% 5.27/5.45 tff(8887,plain,
% 5.27/5.45 (mult(mult(a, c), mult(mult(a, b), a)) = mult(mult(mult(a, c), mult(b, a)), a)),
% 5.27/5.45 inference(transitivity,[status(thm)],[1532, 8797])).
% 5.27/5.45 tff(8888,plain,
% 5.27/5.45 (mult(mult(mult(a, c), mult(mult(a, b), a)), c) = mult(mult(mult(mult(a, c), mult(b, a)), a), c)),
% 5.27/5.45 inference(monotonicity,[status(thm)],[8887])).
% 5.27/5.45 tff(8889,plain,
% 5.27/5.45 (mult(mult(mult(a, c), mult(mult(a, b), a)), c) = mult(mult(mult(a, c), mult(b, a)), mult(a, c))),
% 5.27/5.45 inference(transitivity,[status(thm)],[8888, 6842])).
% 5.27/5.45 tff(8890,plain,
% 5.27/5.45 ((mult(mult(mult(a, c), mult(mult(a, b), a)), c) = mult(mult(a, c), mult(c, mult(mult(a, b), a)))) <=> (mult(mult(mult(a, c), mult(b, a)), mult(a, c)) = mult(mult(a, c), mult(mult(a, c), mult(b, a))))),
% 5.27/5.45 inference(monotonicity,[status(thm)],[8889, 8886])).
% 5.27/5.45 tff(8891,plain,
% 5.27/5.45 ((~(mult(mult(mult(a, c), mult(mult(a, b), a)), c) = mult(mult(a, c), mult(c, mult(mult(a, b), a))))) <=> (~(mult(mult(mult(a, c), mult(b, a)), mult(a, c)) = mult(mult(a, c), mult(mult(a, c), mult(b, a)))))),
% 5.27/5.45 inference(monotonicity,[status(thm)],[8890])).
% 5.27/5.45 tff(8892,plain,
% 5.27/5.45 (mult(mult(a, b), mult(c, a)) = mult(mult(b, a), mult(c, a))),
% 5.27/5.45 inference(monotonicity,[status(thm)],[8391])).
% 5.27/5.45 tff(8893,plain,
% 5.27/5.45 (mult(mult(b, a), mult(c, a)) = mult(mult(a, b), mult(c, a))),
% 5.27/5.45 inference(symmetry,[status(thm)],[8892])).
% 5.27/5.45 tff(8894,plain,
% 5.27/5.45 (mult(mult(mult(a, b), a), c) = mult(mult(mult(b, a), a), c)),
% 5.27/5.45 inference(monotonicity,[status(thm)],[8474])).
% 5.27/5.45 tff(8895,plain,
% 5.27/5.45 (mult(mult(mult(a, b), a), c) = mult(mult(a, b), mult(c, a))),
% 5.27/5.45 inference(transitivity,[status(thm)],[8894, 8333, 8893])).
% 5.27/5.45 tff(8896,plain,
% 5.27/5.45 ((~![B: $i, A: $i] : (ld(A, mult(A, B)) = B)) | (ld(mult(a, c), mult(mult(a, c), mult(c, mult(mult(a, b), a)))) = mult(c, mult(mult(a, b), a)))),
% 5.27/5.45 inference(quant_inst,[status(thm)],[])).
% 5.27/5.45 tff(8897,plain,
% 5.27/5.45 (ld(mult(a, c), mult(mult(a, c), mult(c, mult(mult(a, b), a)))) = mult(c, mult(mult(a, b), a))),
% 5.27/5.45 inference(unit_resolution,[status(thm)],[8896, 9])).
% 5.27/5.45 tff(8898,plain,
% 5.27/5.45 (mult(mult(a, c), mult(mult(b, mult(c, a)), a)) = mult(mult(a, c), mult(b, mult(a, mult(c, a))))),
% 5.27/5.45 inference(monotonicity,[status(thm)],[4679])).
% 5.27/5.45 tff(8899,plain,
% 5.27/5.45 (mult(mult(a, c), mult(b, mult(a, mult(c, a)))) = mult(mult(a, c), mult(mult(b, mult(c, a)), a))),
% 5.27/5.45 inference(symmetry,[status(thm)],[8898])).
% 5.27/5.45 tff(8900,plain,
% 5.27/5.45 (mult(mult(a, c), mult(b, mult(a, mult(c, a)))) = mult(mult(a, c), mult(mult(b, a), mult(a, c)))),
% 5.27/5.45 inference(monotonicity,[status(thm)],[7014])).
% 5.27/5.45 tff(8901,plain,
% 5.27/5.45 (mult(mult(a, c), mult(mult(b, a), mult(a, c))) = mult(mult(a, c), mult(b, mult(a, mult(c, a))))),
% 5.27/5.45 inference(symmetry,[status(thm)],[8900])).
% 5.27/5.45 tff(8902,assumption,(mult(mult(mult(a, c), mult(mult(a, b), a)), c) = mult(mult(a, c), mult(c, mult(mult(a, b), a)))), introduced(assumption)).
% 5.27/5.45 tff(8903,plain,
% 5.27/5.45 (mult(mult(a, c), mult(c, mult(mult(a, b), a))) = mult(mult(mult(a, c), mult(mult(a, b), a)), c)),
% 5.27/5.45 inference(symmetry,[status(thm)],[8902])).
% 5.27/5.45 tff(8904,plain,
% 5.27/5.45 (mult(mult(a, c), mult(c, mult(mult(a, b), a))) = mult(mult(a, c), mult(mult(b, mult(c, a)), a))),
% 5.27/5.45 inference(transitivity,[status(thm)],[8903, 6999, 6842, 8831, 8901, 8899])).
% 5.27/5.45 tff(8905,plain,
% 5.27/5.45 (ld(mult(a, c), mult(mult(a, c), mult(c, mult(mult(a, b), a)))) = ld(mult(a, c), mult(mult(a, c), mult(mult(b, mult(c, a)), a)))),
% 5.27/5.45 inference(monotonicity,[status(thm)],[8904])).
% 5.27/5.45 tff(8906,plain,
% 5.27/5.45 (ld(mult(a, c), mult(mult(a, c), mult(mult(b, mult(c, a)), a))) = ld(mult(a, c), mult(mult(a, c), mult(c, mult(mult(a, b), a))))),
% 5.27/5.45 inference(symmetry,[status(thm)],[8905])).
% 5.27/5.45 tff(8907,plain,
% 5.27/5.45 ((~![B: $i, A: $i] : (ld(A, mult(A, B)) = B)) | (ld(mult(a, c), mult(mult(a, c), mult(mult(b, mult(c, a)), a))) = mult(mult(b, mult(c, a)), a))),
% 5.27/5.45 inference(quant_inst,[status(thm)],[])).
% 5.27/5.45 tff(8908,plain,
% 5.27/5.45 (ld(mult(a, c), mult(mult(a, c), mult(mult(b, mult(c, a)), a))) = mult(mult(b, mult(c, a)), a)),
% 5.27/5.45 inference(unit_resolution,[status(thm)],[8907, 9])).
% 5.27/5.45 tff(8909,plain,
% 5.27/5.45 (mult(mult(b, mult(c, a)), a) = ld(mult(a, c), mult(mult(a, c), mult(mult(b, mult(c, a)), a)))),
% 5.27/5.45 inference(symmetry,[status(thm)],[8908])).
% 5.27/5.45 tff(8910,plain,
% 5.27/5.45 (mult(mult(b, mult(c, a)), a) = mult(mult(mult(c, a), b), a)),
% 5.27/5.45 inference(transitivity,[status(thm)],[8909, 8906, 8897, 2808])).
% 5.27/5.45 tff(8911,plain,
% 5.27/5.45 (rd(mult(mult(b, mult(c, a)), a), a) = rd(mult(mult(mult(c, a), b), a), a)),
% 5.27/5.45 inference(monotonicity,[status(thm)],[8910])).
% 5.27/5.45 tff(8912,plain,
% 5.27/5.45 (rd(mult(mult(mult(c, a), b), a), a) = rd(mult(mult(b, mult(c, a)), a), a)),
% 5.27/5.45 inference(symmetry,[status(thm)],[8911])).
% 5.27/5.45 tff(8913,plain,
% 5.27/5.45 (mult(mult(c, a), b) = mult(b, mult(c, a))),
% 5.27/5.45 inference(transitivity,[status(thm)],[5995, 8912, 848])).
% 5.27/5.45 tff(8914,plain,
% 5.27/5.45 (mult(a, mult(mult(c, a), b)) = mult(a, mult(b, mult(c, a)))),
% 5.27/5.45 inference(monotonicity,[status(thm)],[8913])).
% 5.27/5.45 tff(8915,plain,
% 5.27/5.45 (mult(mult(a, mult(b, a)), c) = mult(a, mult(mult(b, a), c))),
% 5.27/5.45 inference(transitivity,[status(thm)],[8336, 2431, 439, 8914, 5246])).
% 5.27/5.45 tff(8916,plain,
% 5.27/5.45 ($false),
% 5.27/5.45 inference(unit_resolution,[status(thm)],[1394, 8915])).
% 5.27/5.45 tff(8917,plain,((~(mult(mult(mult(a, c), mult(mult(a, b), a)), c) = mult(mult(a, c), mult(c, mult(mult(a, b), a))))) | (mult(mult(a, mult(b, a)), c) = mult(a, mult(mult(b, a), c))) | (~(mult(mult(mult(a, b), a), c) = mult(mult(a, b), mult(c, a)))) | (~(mult(mult(a, b), mult(c, a)) = mult(a, mult(mult(c, a), b)))) | (~(mult(mult(mult(mult(a, c), mult(b, a)), a), c) = mult(mult(mult(a, c), mult(b, a)), mult(a, c)))) | (~(mult(mult(mult(a, c), mult(b, a)), mult(a, c)) = mult(mult(a, c), mult(mult(b, a), mult(a, c))))) | (~(mult(mult(mult(a, c), a), b) = mult(mult(a, c), mult(b, a))))), inference(lemma,lemma(discharge,[]))).
% 5.27/5.45 tff(8918,plain,
% 5.27/5.45 (~(mult(mult(mult(a, c), mult(mult(a, b), a)), c) = mult(mult(a, c), mult(c, mult(mult(a, b), a))))),
% 5.27/5.45 inference(unit_resolution,[status(thm)],[8917, 6842, 8895, 8831, 439, 1394, 8796])).
% 5.27/5.45 tff(8919,plain,
% 5.27/5.45 (~(mult(mult(mult(a, c), mult(b, a)), mult(a, c)) = mult(mult(a, c), mult(mult(a, c), mult(b, a))))),
% 5.27/5.45 inference(modus_ponens,[status(thm)],[8918, 8891])).
% 5.27/5.45 tff(8920,plain,
% 5.27/5.45 (~(mult(mult(a, c), mult(mult(a, c), mult(b, a))) = mult(a, mult(mult(mult(a, c), mult(b, a)), c)))),
% 5.27/5.45 inference(modus_ponens,[status(thm)],[8919, 8884])).
% 5.27/5.45 tff(8921,plain,
% 5.27/5.45 (((~(mult(mult(a, c), mult(mult(a, c), mult(b, a))) = mult(a, mult(mult(mult(a, c), mult(b, a)), c)))) | (~(mult(mult(a, mult(mult(a, c), mult(b, a))), c) = mult(a, mult(c, mult(mult(a, c), mult(b, a))))))) | (mult(mult(a, c), mult(mult(a, c), mult(b, a))) = mult(a, mult(mult(mult(a, c), mult(b, a)), c)))),
% 5.27/5.45 inference(tautology,[status(thm)],[])).
% 5.27/5.45 tff(8922,plain,
% 5.27/5.45 ((~(mult(mult(a, c), mult(mult(a, c), mult(b, a))) = mult(a, mult(mult(mult(a, c), mult(b, a)), c)))) | (~(mult(mult(a, mult(mult(a, c), mult(b, a))), c) = mult(a, mult(c, mult(mult(a, c), mult(b, a))))))),
% 5.27/5.45 inference(unit_resolution,[status(thm)],[8921, 8920])).
% 5.27/5.45 tff(8923,plain,
% 5.27/5.45 (((~![X0: $i, X1: $i, X2: $i] : ((~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X2, X1)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X1, X2)))))) | (~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X1, X2)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X2, X1)))))))) | ((~((~(mult(mult(a, c), mult(mult(a, c), mult(b, a))) = mult(a, mult(mult(mult(a, c), mult(b, a)), c)))) | (~(mult(mult(a, mult(mult(a, c), mult(b, a))), c) = mult(a, mult(c, mult(mult(a, c), mult(b, a)))))))) | (~((~(mult(mult(a, mult(mult(a, c), mult(b, a))), c) = mult(a, mult(mult(mult(a, c), mult(b, a)), c)))) | (~(mult(mult(a, c), mult(mult(a, c), mult(b, a))) = mult(a, mult(c, mult(mult(a, c), mult(b, a)))))))))) <=> ((~![X0: $i, X1: $i, X2: $i] : ((~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X2, X1)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X1, X2)))))) | (~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X1, X2)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X2, X1)))))))) | (~((~(mult(mult(a, c), mult(mult(a, c), mult(b, a))) = mult(a, mult(mult(mult(a, c), mult(b, a)), c)))) | (~(mult(mult(a, mult(mult(a, c), mult(b, a))), c) = mult(a, mult(c, mult(mult(a, c), mult(b, a)))))))) | (~((~(mult(mult(a, mult(mult(a, c), mult(b, a))), c) = mult(a, mult(mult(mult(a, c), mult(b, a)), c)))) | (~(mult(mult(a, c), mult(mult(a, c), mult(b, a))) = mult(a, mult(c, mult(mult(a, c), mult(b, a)))))))))),
% 5.27/5.45 inference(rewrite,[status(thm)],[])).
% 5.27/5.45 tff(8924,plain,
% 5.27/5.45 (((~((~(mult(mult(a, mult(mult(a, c), mult(b, a))), c) = mult(a, mult(c, mult(mult(a, c), mult(b, a)))))) | (~(mult(mult(a, c), mult(mult(a, c), mult(b, a))) = mult(a, mult(mult(mult(a, c), mult(b, a)), c)))))) | (~((~(mult(mult(a, mult(mult(a, c), mult(b, a))), c) = mult(a, mult(mult(mult(a, c), mult(b, a)), c)))) | (~(mult(mult(a, c), mult(mult(a, c), mult(b, a))) = mult(a, mult(c, mult(mult(a, c), mult(b, a))))))))) <=> ((~((~(mult(mult(a, c), mult(mult(a, c), mult(b, a))) = mult(a, mult(mult(mult(a, c), mult(b, a)), c)))) | (~(mult(mult(a, mult(mult(a, c), mult(b, a))), c) = mult(a, mult(c, mult(mult(a, c), mult(b, a)))))))) | (~((~(mult(mult(a, mult(mult(a, c), mult(b, a))), c) = mult(a, mult(mult(mult(a, c), mult(b, a)), c)))) | (~(mult(mult(a, c), mult(mult(a, c), mult(b, a))) = mult(a, mult(c, mult(mult(a, c), mult(b, a)))))))))),
% 5.27/5.45 inference(rewrite,[status(thm)],[])).
% 5.27/5.45 tff(8925,plain,
% 5.27/5.45 (((~![X0: $i, X1: $i, X2: $i] : ((~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X2, X1)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X1, X2)))))) | (~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X1, X2)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X2, X1)))))))) | ((~((~(mult(mult(a, mult(mult(a, c), mult(b, a))), c) = mult(a, mult(c, mult(mult(a, c), mult(b, a)))))) | (~(mult(mult(a, c), mult(mult(a, c), mult(b, a))) = mult(a, mult(mult(mult(a, c), mult(b, a)), c)))))) | (~((~(mult(mult(a, mult(mult(a, c), mult(b, a))), c) = mult(a, mult(mult(mult(a, c), mult(b, a)), c)))) | (~(mult(mult(a, c), mult(mult(a, c), mult(b, a))) = mult(a, mult(c, mult(mult(a, c), mult(b, a)))))))))) <=> ((~![X0: $i, X1: $i, X2: $i] : ((~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X2, X1)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X1, X2)))))) | (~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X1, X2)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X2, X1)))))))) | ((~((~(mult(mult(a, c), mult(mult(a, c), mult(b, a))) = mult(a, mult(mult(mult(a, c), mult(b, a)), c)))) | (~(mult(mult(a, mult(mult(a, c), mult(b, a))), c) = mult(a, mult(c, mult(mult(a, c), mult(b, a)))))))) | (~((~(mult(mult(a, mult(mult(a, c), mult(b, a))), c) = mult(a, mult(mult(mult(a, c), mult(b, a)), c)))) | (~(mult(mult(a, c), mult(mult(a, c), mult(b, a))) = mult(a, mult(c, mult(mult(a, c), mult(b, a))))))))))),
% 5.27/5.45 inference(monotonicity,[status(thm)],[8924])).
% 5.27/5.45 tff(8926,plain,
% 5.27/5.45 (((~![X0: $i, X1: $i, X2: $i] : ((~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X2, X1)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X1, X2)))))) | (~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X1, X2)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X2, X1)))))))) | ((~((~(mult(mult(a, mult(mult(a, c), mult(b, a))), c) = mult(a, mult(c, mult(mult(a, c), mult(b, a)))))) | (~(mult(mult(a, c), mult(mult(a, c), mult(b, a))) = mult(a, mult(mult(mult(a, c), mult(b, a)), c)))))) | (~((~(mult(mult(a, mult(mult(a, c), mult(b, a))), c) = mult(a, mult(mult(mult(a, c), mult(b, a)), c)))) | (~(mult(mult(a, c), mult(mult(a, c), mult(b, a))) = mult(a, mult(c, mult(mult(a, c), mult(b, a)))))))))) <=> ((~![X0: $i, X1: $i, X2: $i] : ((~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X2, X1)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X1, X2)))))) | (~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X1, X2)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X2, X1)))))))) | (~((~(mult(mult(a, c), mult(mult(a, c), mult(b, a))) = mult(a, mult(mult(mult(a, c), mult(b, a)), c)))) | (~(mult(mult(a, mult(mult(a, c), mult(b, a))), c) = mult(a, mult(c, mult(mult(a, c), mult(b, a)))))))) | (~((~(mult(mult(a, mult(mult(a, c), mult(b, a))), c) = mult(a, mult(mult(mult(a, c), mult(b, a)), c)))) | (~(mult(mult(a, c), mult(mult(a, c), mult(b, a))) = mult(a, mult(c, mult(mult(a, c), mult(b, a)))))))))),
% 5.27/5.45 inference(transitivity,[status(thm)],[8925, 8923])).
% 5.27/5.45 tff(8927,plain,
% 5.27/5.45 ((~![X0: $i, X1: $i, X2: $i] : ((~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X2, X1)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X1, X2)))))) | (~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X1, X2)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X2, X1)))))))) | ((~((~(mult(mult(a, mult(mult(a, c), mult(b, a))), c) = mult(a, mult(c, mult(mult(a, c), mult(b, a)))))) | (~(mult(mult(a, c), mult(mult(a, c), mult(b, a))) = mult(a, mult(mult(mult(a, c), mult(b, a)), c)))))) | (~((~(mult(mult(a, mult(mult(a, c), mult(b, a))), c) = mult(a, mult(mult(mult(a, c), mult(b, a)), c)))) | (~(mult(mult(a, c), mult(mult(a, c), mult(b, a))) = mult(a, mult(c, mult(mult(a, c), mult(b, a)))))))))),
% 5.27/5.45 inference(quant_inst,[status(thm)],[])).
% 5.27/5.45 tff(8928,plain,
% 5.27/5.45 ((~![X0: $i, X1: $i, X2: $i] : ((~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X2, X1)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X1, X2)))))) | (~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X1, X2)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X2, X1)))))))) | (~((~(mult(mult(a, c), mult(mult(a, c), mult(b, a))) = mult(a, mult(mult(mult(a, c), mult(b, a)), c)))) | (~(mult(mult(a, mult(mult(a, c), mult(b, a))), c) = mult(a, mult(c, mult(mult(a, c), mult(b, a)))))))) | (~((~(mult(mult(a, mult(mult(a, c), mult(b, a))), c) = mult(a, mult(mult(mult(a, c), mult(b, a)), c)))) | (~(mult(mult(a, c), mult(mult(a, c), mult(b, a))) = mult(a, mult(c, mult(mult(a, c), mult(b, a))))))))),
% 5.27/5.46 inference(modus_ponens,[status(thm)],[8927, 8926])).
% 5.27/5.46 tff(8929,plain,
% 5.27/5.46 ((~((~(mult(mult(a, c), mult(mult(a, c), mult(b, a))) = mult(a, mult(mult(mult(a, c), mult(b, a)), c)))) | (~(mult(mult(a, mult(mult(a, c), mult(b, a))), c) = mult(a, mult(c, mult(mult(a, c), mult(b, a)))))))) | (~((~(mult(mult(a, mult(mult(a, c), mult(b, a))), c) = mult(a, mult(mult(mult(a, c), mult(b, a)), c)))) | (~(mult(mult(a, c), mult(mult(a, c), mult(b, a))) = mult(a, mult(c, mult(mult(a, c), mult(b, a))))))))),
% 5.27/5.46 inference(unit_resolution,[status(thm)],[8928, 30])).
% 5.27/5.46 tff(8930,plain,
% 5.27/5.46 (~((~(mult(mult(a, mult(mult(a, c), mult(b, a))), c) = mult(a, mult(mult(mult(a, c), mult(b, a)), c)))) | (~(mult(mult(a, c), mult(mult(a, c), mult(b, a))) = mult(a, mult(c, mult(mult(a, c), mult(b, a)))))))),
% 5.27/5.46 inference(unit_resolution,[status(thm)],[8929, 8922])).
% 5.27/5.46 tff(8931,plain,
% 5.27/5.46 (((~(mult(mult(a, mult(mult(a, c), mult(b, a))), c) = mult(a, mult(mult(mult(a, c), mult(b, a)), c)))) | (~(mult(mult(a, c), mult(mult(a, c), mult(b, a))) = mult(a, mult(c, mult(mult(a, c), mult(b, a))))))) | (mult(mult(a, mult(mult(a, c), mult(b, a))), c) = mult(a, mult(mult(mult(a, c), mult(b, a)), c)))),
% 5.27/5.46 inference(tautology,[status(thm)],[])).
% 5.27/5.46 tff(8932,plain,
% 5.27/5.46 (mult(mult(a, mult(mult(a, c), mult(b, a))), c) = mult(a, mult(mult(mult(a, c), mult(b, a)), c))),
% 5.27/5.46 inference(unit_resolution,[status(thm)],[8931, 8930])).
% 5.27/5.46 tff(8933,plain,
% 5.27/5.46 (mult(mult(a, c), mult(b, a)) = mult(a, mult(a, mult(c, b)))),
% 5.27/5.46 inference(transitivity,[status(thm)],[8468, 8775, 3563, 594, 593, 112])).
% 5.27/5.46 tff(8934,plain,
% 5.27/5.46 (mult(a, mult(mult(a, c), mult(b, a))) = mult(a, mult(a, mult(a, mult(c, b))))),
% 5.27/5.46 inference(monotonicity,[status(thm)],[8933])).
% 5.27/5.46 tff(8935,plain,
% 5.27/5.46 (mult(a, mult(a, mult(a, mult(c, b)))) = mult(a, mult(mult(a, c), mult(b, a)))),
% 5.27/5.46 inference(symmetry,[status(thm)],[8934])).
% 5.27/5.46 tff(8936,plain,
% 5.27/5.46 (mult(mult(a, mult(a, mult(a, mult(c, b)))), c) = mult(mult(a, mult(mult(a, c), mult(b, a))), c)),
% 5.27/5.46 inference(monotonicity,[status(thm)],[8935])).
% 5.27/5.46 tff(8937,plain,
% 5.27/5.46 (mult(mult(a, mult(a, mult(a, mult(c, b)))), c) = mult(mult(a, mult(mult(a, mult(c, b)), a)), c)),
% 5.27/5.46 inference(transitivity,[status(thm)],[8936, 8932, 8878, 8874, 8804, 8801, 8781])).
% 5.27/5.46 tff(8938,plain,
% 5.27/5.46 (rd(mult(mult(a, mult(a, mult(a, mult(c, b)))), c), c) = rd(mult(mult(a, mult(mult(a, mult(c, b)), a)), c), c)),
% 5.27/5.46 inference(monotonicity,[status(thm)],[8937])).
% 5.27/5.46 tff(8939,plain,
% 5.27/5.46 (rd(mult(mult(a, mult(mult(a, mult(c, b)), a)), c), c) = rd(mult(mult(a, mult(a, mult(a, mult(c, b)))), c), c)),
% 5.27/5.46 inference(symmetry,[status(thm)],[8938])).
% 5.27/5.46 tff(8940,plain,
% 5.27/5.46 ((~![B: $i, A: $i] : (rd(mult(A, B), B) = A)) | (rd(mult(mult(a, mult(mult(a, mult(c, b)), a)), c), c) = mult(a, mult(mult(a, mult(c, b)), a)))),
% 5.27/5.46 inference(quant_inst,[status(thm)],[])).
% 5.27/5.46 tff(8941,plain,
% 5.27/5.46 (rd(mult(mult(a, mult(mult(a, mult(c, b)), a)), c), c) = mult(a, mult(mult(a, mult(c, b)), a))),
% 5.27/5.46 inference(unit_resolution,[status(thm)],[8940, 72])).
% 5.27/5.46 tff(8942,plain,
% 5.27/5.46 (mult(a, mult(mult(a, mult(c, b)), a)) = rd(mult(mult(a, mult(mult(a, mult(c, b)), a)), c), c)),
% 5.27/5.46 inference(symmetry,[status(thm)],[8941])).
% 5.27/5.46 tff(8943,plain,
% 5.27/5.46 (mult(mult(a, mult(a, mult(c, b))), a) = mult(mult(mult(a, a), mult(c, b)), a)),
% 5.27/5.46 inference(monotonicity,[status(thm)],[8186])).
% 5.27/5.46 tff(8944,plain,
% 5.27/5.46 (mult(mult(a, mult(a, mult(c, b))), a) = mult(a, mult(a, mult(a, mult(c, b))))),
% 5.27/5.46 inference(transitivity,[status(thm)],[8943, 4757, 8942, 8939, 8774])).
% 5.27/5.46 tff(8945,plain,
% 5.27/5.46 ($false),
% 5.27/5.46 inference(unit_resolution,[status(thm)],[4730, 8944])).
% 5.27/5.46 tff(8946,plain,((~(mult(mult(mult(mult(a, c), mult(b, a)), a), c) = mult(mult(mult(a, c), mult(b, a)), mult(a, c)))) | (mult(mult(a, mult(a, mult(c, b))), a) = mult(a, mult(a, mult(a, mult(c, b))))) | (~(mult(mult(a, mult(a, c)), b) = mult(a, mult(b, mult(a, c))))) | (~(mult(mult(a, mult(b, c)), a) = mult(a, mult(mult(b, c), a)))) | (~(mult(mult(mult(a, c), mult(b, a)), b) = mult(mult(a, c), mult(mult(b, a), b)))) | (~(mult(mult(a, c), b) = mult(a, mult(b, c)))) | (~(mult(mult(a, c), mult(a, b)) = mult(a, mult(mult(a, b), c)))) | (~(mult(mult(mult(a, c), b), a) = mult(mult(a, c), mult(a, b)))) | (~(mult(mult(a, b), c) = mult(a, mult(c, b)))) | (~(mult(mult(mult(a, c), mult(b, a)), mult(a, c)) = mult(mult(a, c), mult(mult(b, a), mult(a, c))))) | (~(mult(mult(a, b), mult(a, c)) = mult(a, mult(mult(a, c), b)))) | (~(mult(mult(a, b), mult(c, a)) = mult(a, mult(mult(c, a), b)))) | (mult(mult(a, mult(b, a)), c) = mult(a, mult(mult(b, a), c)))), inference(lemma,lemma(discharge,[]))).
% 5.27/5.46 tff(8947,plain,
% 5.27/5.46 (~(mult(mult(mult(mult(a, c), mult(b, a)), a), c) = mult(mult(mult(a, c), mult(b, a)), mult(a, c)))),
% 5.27/5.46 inference(unit_resolution,[status(thm)],[8946, 8772, 8511, 8160, 8192, 97, 8297, 8296, 91, 8771, 8156, 8370, 8366])).
% 5.27/5.46 tff(8948,plain,
% 5.27/5.46 (~(mult(mult(mult(mult(a, c), mult(b, a)), a), c) = mult(mult(mult(a, c), mult(b, a)), mult(c, a)))),
% 5.27/5.46 inference(modus_ponens,[status(thm)],[8947, 8316])).
% 5.27/5.46 tff(8949,plain,
% 5.27/5.46 (((~(mult(mult(mult(mult(a, c), mult(b, a)), a), c) = mult(mult(mult(a, c), mult(b, a)), mult(a, c)))) | (~(mult(mult(mult(mult(a, c), mult(b, a)), c), a) = mult(mult(mult(a, c), mult(b, a)), mult(c, a))))) | (mult(mult(mult(mult(a, c), mult(b, a)), a), c) = mult(mult(mult(a, c), mult(b, a)), mult(a, c)))),
% 5.27/5.46 inference(tautology,[status(thm)],[])).
% 5.27/5.46 tff(8950,plain,
% 5.27/5.46 ((~(mult(mult(mult(mult(a, c), mult(b, a)), a), c) = mult(mult(mult(a, c), mult(b, a)), mult(a, c)))) | (~(mult(mult(mult(mult(a, c), mult(b, a)), c), a) = mult(mult(mult(a, c), mult(b, a)), mult(c, a))))),
% 5.27/5.46 inference(unit_resolution,[status(thm)],[8949, 8947])).
% 5.27/5.46 tff(8951,plain,
% 5.27/5.46 (~((~(mult(mult(mult(mult(a, c), mult(b, a)), a), c) = mult(mult(mult(a, c), mult(b, a)), mult(c, a)))) | (~(mult(mult(mult(mult(a, c), mult(b, a)), c), a) = mult(mult(mult(a, c), mult(b, a)), mult(a, c)))))),
% 5.27/5.46 inference(unit_resolution,[status(thm)],[8843, 8950])).
% 5.27/5.46 tff(8952,plain,
% 5.27/5.46 (((~(mult(mult(mult(mult(a, c), mult(b, a)), a), c) = mult(mult(mult(a, c), mult(b, a)), mult(c, a)))) | (~(mult(mult(mult(mult(a, c), mult(b, a)), c), a) = mult(mult(mult(a, c), mult(b, a)), mult(a, c))))) | (mult(mult(mult(mult(a, c), mult(b, a)), a), c) = mult(mult(mult(a, c), mult(b, a)), mult(c, a)))),
% 5.27/5.46 inference(tautology,[status(thm)],[])).
% 5.27/5.46 tff(8953,plain,
% 5.27/5.46 (mult(mult(mult(mult(a, c), mult(b, a)), a), c) = mult(mult(mult(a, c), mult(b, a)), mult(c, a))),
% 5.27/5.46 inference(unit_resolution,[status(thm)],[8952, 8951])).
% 5.27/5.46 tff(8954,plain,
% 5.27/5.46 ($false),
% 5.27/5.46 inference(unit_resolution,[status(thm)],[8953, 8948])).
% 5.27/5.46 tff(8955,plain,(mult(mult(a, c), b) = mult(a, mult(c, b))), inference(lemma,lemma(discharge,[]))).
% 5.27/5.46 tff(8956,plain,
% 5.27/5.46 ((mult(mult(a, b), c) = mult(a, mult(b, c))) | (~(mult(mult(a, b), c) = mult(a, mult(c, b))))),
% 5.27/5.46 inference(unit_resolution,[status(thm)],[1930, 8955])).
% 5.27/5.46 tff(8957,plain,
% 5.27/5.46 (~(mult(mult(a, b), c) = mult(a, mult(c, b)))),
% 5.27/5.46 inference(unit_resolution,[status(thm)],[8956, 115])).
% 5.27/5.46 tff(8958,plain,
% 5.27/5.46 ($false),
% 5.27/5.46 inference(unit_resolution,[status(thm)],[51, 1926, 8957])).
% 5.27/5.46 tff(8959,plain,(mult(mult(a, b), c) = mult(a, mult(b, c))), inference(lemma,lemma(discharge,[]))).
% 5.27/5.46 tff(8960,plain,
% 5.27/5.46 (mult(mult(mult(a, a), b), c) = mult(mult(a, a), mult(c, b))),
% 5.27/5.46 inference(unit_resolution,[status(thm)],[1975, 106, 8959])).
% 5.27/5.46 tff(8961,plain,
% 5.27/5.46 ((~(mult(mult(mult(a, a), b), c) = mult(mult(a, a), mult(c, b)))) | (mult(mult(a, mult(a, b)), c) = mult(a, mult(mult(a, b), c))) | (~(mult(mult(a, b), c) = mult(a, mult(c, b))))),
% 5.27/5.46 inference(unit_resolution,[status(thm)],[5351, 8185])).
% 5.27/5.46 tff(8962,plain,
% 5.27/5.46 ($false),
% 5.27/5.46 inference(unit_resolution,[status(thm)],[8961, 8960, 106, 1994])).
% 5.27/5.46 tff(8963,plain,((~(mult(mult(a, b), c) = mult(a, mult(c, b)))) | (mult(mult(a, mult(a, b)), c) = mult(a, mult(mult(a, b), c)))), inference(lemma,lemma(discharge,[]))).
% 5.27/5.46 tff(8964,plain,
% 5.27/5.46 (~(mult(mult(a, b), c) = mult(a, mult(c, b)))),
% 5.27/5.46 inference(unit_resolution,[status(thm)],[8963, 1994])).
% 5.27/5.46 tff(8965,plain,
% 5.27/5.46 ((~(mult(mult(c, a), b) = mult(c, mult(b, a)))) | (~(mult(mult(mult(a, c), a), b) = mult(mult(a, c), mult(b, a)))) | (mult(mult(mult(a, b), c), a) = mult(mult(a, b), mult(a, c)))),
% 5.27/5.46 inference(unit_resolution,[status(thm)],[5304, 4193])).
% 5.27/5.46 tff(8966,plain,
% 5.27/5.46 (~(mult(mult(mult(a, c), a), b) = mult(mult(a, c), mult(b, a)))),
% 5.27/5.46 inference(unit_resolution,[status(thm)],[8965, 5289, 248])).
% 5.27/5.46 tff(8967,plain,
% 5.27/5.46 ($false),
% 5.27/5.46 inference(unit_resolution,[status(thm)],[954, 8966, 970])).
% 5.27/5.46 tff(8968,plain,((mult(mult(mult(a, c), b), a) = mult(mult(a, c), mult(b, a))) | (mult(mult(mult(a, b), c), a) = mult(mult(a, b), mult(a, c)))), inference(lemma,lemma(discharge,[]))).
% 5.27/5.46 tff(8969,plain,
% 5.27/5.46 (mult(mult(mult(a, b), c), a) = mult(mult(a, b), mult(a, c))),
% 5.27/5.46 inference(unit_resolution,[status(thm)],[8968, 614])).
% 5.27/5.46 tff(8970,plain,
% 5.27/5.46 (mult(mult(a, b), mult(a, c)) = mult(a, mult(b, mult(a, c)))),
% 5.27/5.46 inference(unit_resolution,[status(thm)],[5138, 168, 788, 1787, 59, 3449])).
% 5.27/5.46 tff(8971,plain,
% 5.27/5.46 ($false),
% 5.27/5.46 inference(unit_resolution,[status(thm)],[5150, 8970, 168, 59, 3449, 3404])).
% 5.27/5.46 tff(8972,plain,((~(mult(mult(mult(a, b), c), a) = mult(mult(a, b), mult(a, c)))) | (~(mult(mult(a, b), c) = mult(a, mult(b, c)))) | (~(mult(mult(b, c), a) = mult(b, mult(a, c)))) | (mult(mult(a, a), mult(b, c)) = mult(a, mult(a, mult(b, c)))) | (~(mult(mult(a, c), b) = mult(a, mult(c, b)))) | (mult(mult(a, b), c) = mult(a, mult(c, b)))), inference(lemma,lemma(discharge,[]))).
% 5.27/5.46 tff(8973,plain,
% 5.27/5.46 ((~(mult(mult(mult(a, b), c), a) = mult(mult(a, b), mult(a, c)))) | (~(mult(mult(a, b), c) = mult(a, mult(b, c)))) | (mult(mult(a, a), mult(b, c)) = mult(a, mult(a, mult(b, c)))) | (~(mult(mult(a, c), b) = mult(a, mult(c, b)))) | (mult(mult(a, b), c) = mult(a, mult(c, b)))),
% 5.27/5.46 inference(unit_resolution,[status(thm)],[8972, 3433])).
% 5.27/5.46 tff(8974,plain,
% 5.27/5.46 ((~(mult(mult(mult(a, b), c), a) = mult(mult(a, b), mult(a, c)))) | (~(mult(mult(a, b), c) = mult(a, mult(b, c)))) | (mult(mult(a, a), mult(b, c)) = mult(a, mult(a, mult(b, c)))) | (mult(mult(a, b), c) = mult(a, mult(c, b)))),
% 5.27/5.46 inference(unit_resolution,[status(thm)],[8973, 8955])).
% 5.27/5.46 tff(8975,plain,
% 5.27/5.46 (mult(mult(a, a), mult(b, c)) = mult(a, mult(a, mult(b, c)))),
% 5.27/5.46 inference(unit_resolution,[status(thm)],[8974, 8969, 8959, 8964])).
% 5.27/5.46 tff(8976,plain,
% 5.27/5.46 (mult(a, mult(mult(a, b), c)) = mult(mult(a, a), mult(b, c))),
% 5.27/5.46 inference(transitivity,[status(thm)],[2576, 1194])).
% 5.27/5.46 tff(8977,plain,
% 5.27/5.46 ((mult(mult(a, mult(a, b)), c) = mult(a, mult(mult(a, b), c))) <=> (mult(mult(mult(a, a), b), c) = mult(mult(a, a), mult(b, c)))),
% 5.27/5.46 inference(monotonicity,[status(thm)],[2630, 8976])).
% 5.27/5.46 tff(8978,plain,
% 5.27/5.46 ((mult(mult(mult(a, a), b), c) = mult(mult(a, a), mult(b, c))) <=> (mult(mult(a, mult(a, b)), c) = mult(a, mult(mult(a, b), c)))),
% 5.27/5.46 inference(symmetry,[status(thm)],[8977])).
% 5.27/5.46 tff(8979,plain,
% 5.27/5.46 (mult(a, mult(c, mult(a, b))) = mult(mult(a, a), mult(b, c))),
% 5.27/5.46 inference(transitivity,[status(thm)],[1414, 708, 2195, 594, 4654, 2576, 1194])).
% 5.27/5.46 tff(8980,plain,
% 5.27/5.46 ((mult(mult(a, mult(a, b)), c) = mult(a, mult(c, mult(a, b)))) <=> (mult(mult(mult(a, a), b), c) = mult(mult(a, a), mult(b, c)))),
% 5.27/5.46 inference(monotonicity,[status(thm)],[2630, 8979])).
% 5.27/5.46 tff(8981,plain,
% 5.27/5.46 ((mult(mult(a, mult(a, b)), c) = mult(a, mult(c, mult(a, b)))) <=> (mult(mult(a, mult(a, b)), c) = mult(a, mult(mult(a, b), c)))),
% 5.27/5.46 inference(transitivity,[status(thm)],[8980, 8978])).
% 5.27/5.46 tff(8982,plain,
% 5.27/5.46 (mult(mult(a, mult(a, b)), c) = mult(a, mult(mult(a, b), c))),
% 5.27/5.46 inference(modus_ponens,[status(thm)],[4709, 8981])).
% 5.27/5.46 tff(8983,plain,
% 5.27/5.46 ($false),
% 5.27/5.46 inference(unit_resolution,[status(thm)],[1994, 8982])).
% 5.27/5.46 tff(8984,plain,((mult(mult(a, mult(a, b)), c) = mult(a, mult(mult(a, b), c))) | (~(mult(mult(a, a), mult(b, c)) = mult(a, mult(a, mult(b, c))))) | (~(mult(mult(a, b), c) = mult(a, mult(b, c)))) | (~(mult(mult(mult(a, c), b), a) = mult(mult(a, c), mult(a, b)))) | (~(mult(mult(a, mult(c, b)), a) = mult(a, mult(mult(c, b), a)))) | (~(mult(mult(a, c), b) = mult(a, mult(c, b)))) | (~(mult(mult(c, b), a) = mult(c, mult(a, b)))) | (~(mult(mult(a, a), b) = mult(a, mult(a, b))))), inference(lemma,lemma(discharge,[]))).
% 5.27/5.46 tff(8985,plain,
% 5.27/5.46 ((mult(mult(a, mult(a, b)), c) = mult(a, mult(mult(a, b), c))) | (~(mult(mult(a, a), mult(b, c)) = mult(a, mult(a, mult(b, c))))) | (~(mult(mult(a, b), c) = mult(a, mult(b, c)))) | (~(mult(mult(mult(a, c), b), a) = mult(mult(a, c), mult(a, b)))) | (~(mult(mult(a, mult(c, b)), a) = mult(a, mult(mult(c, b), a)))) | (~(mult(mult(a, c), b) = mult(a, mult(c, b)))) | (~(mult(mult(c, b), a) = mult(c, mult(a, b))))),
% 5.27/5.46 inference(unit_resolution,[status(thm)],[8984, 4190])).
% 5.27/5.46 tff(8986,plain,
% 5.27/5.46 ((mult(mult(a, mult(a, b)), c) = mult(a, mult(mult(a, b), c))) | (~(mult(mult(a, a), mult(b, c)) = mult(a, mult(a, mult(b, c))))) | (~(mult(mult(a, b), c) = mult(a, mult(b, c)))) | (~(mult(mult(mult(a, c), b), a) = mult(mult(a, c), mult(a, b)))) | (~(mult(mult(c, b), a) = mult(c, mult(a, b))))),
% 5.27/5.46 inference(unit_resolution,[status(thm)],[8985, 8184, 8955])).
% 5.27/5.46 tff(8987,plain,
% 5.27/5.46 ($false),
% 5.27/5.46 inference(unit_resolution,[status(thm)],[8986, 8975, 5290, 8959, 1994, 4714])).
% 5.27/5.46 tff(8988,plain,((mult(mult(mult(a, c), b), a) = mult(mult(a, c), mult(b, a))) | (mult(mult(a, mult(a, b)), c) = mult(a, mult(mult(a, b), c)))), inference(lemma,lemma(discharge,[]))).
% 5.27/5.46 tff(8989,plain,
% 5.27/5.46 (mult(mult(mult(a, c), b), a) = mult(mult(a, c), mult(b, a))),
% 5.27/5.46 inference(unit_resolution,[status(thm)],[8988, 1994])).
% 5.27/5.46 tff(8990,plain,
% 5.27/5.46 (mult(mult(a, c), mult(a, b)) = mult(mult(mult(a, c), b), a)),
% 5.27/5.46 inference(symmetry,[status(thm)],[4714])).
% 5.27/5.46 tff(8991,plain,
% 5.27/5.46 (mult(mult(a, c), mult(a, b)) = mult(mult(a, c), mult(b, a))),
% 5.27/5.46 inference(transitivity,[status(thm)],[8990, 8989])).
% 5.27/5.46 tff(8992,plain,
% 5.27/5.46 (ld(mult(a, c), mult(mult(a, c), mult(a, b))) = ld(mult(a, c), mult(mult(a, c), mult(b, a)))),
% 5.27/5.46 inference(monotonicity,[status(thm)],[8991])).
% 5.27/5.46 tff(8993,plain,
% 5.27/5.46 (mult(a, b) = mult(b, a)),
% 5.27/5.46 inference(transitivity,[status(thm)],[2369, 8992, 2364])).
% 5.27/5.46 tff(8994,plain,
% 5.27/5.46 ($false),
% 5.27/5.46 inference(unit_resolution,[status(thm)],[1, 8993])).
% 5.27/5.46 tff(8995,plain,((mult(mult(a, mult(a, b)), c) = mult(a, mult(mult(a, b), c))) | (mult(a, b) = mult(b, a))), inference(lemma,lemma(discharge,[]))).
% 5.27/5.46 tff(8996,plain,
% 5.27/5.46 (mult(mult(a, mult(a, b)), c) = mult(a, mult(mult(a, b), c))),
% 5.27/5.46 inference(unit_resolution,[status(thm)],[8995, 1])).
% 5.27/5.46 tff(8997,plain,
% 5.27/5.46 ((mult(a, mult(mult(a, b), c)) = mult(mult(a, mult(a, b)), c)) <=> (mult(mult(a, mult(a, b)), c) = mult(a, mult(mult(a, b), c)))),
% 5.27/5.46 inference(commutativity,[status(thm)],[])).
% 5.27/5.46 tff(8998,plain,
% 5.27/5.46 ((mult(mult(a, c), mult(a, b)) = mult(a, mult(c, mult(a, b)))) <=> (mult(a, mult(mult(a, b), c)) = mult(mult(a, mult(a, b)), c))),
% 5.27/5.46 inference(monotonicity,[status(thm)],[5110, 7424])).
% 5.27/5.46 tff(8999,plain,
% 5.27/5.46 ((mult(mult(a, c), mult(a, b)) = mult(a, mult(c, mult(a, b)))) <=> (mult(mult(a, mult(a, b)), c) = mult(a, mult(mult(a, b), c)))),
% 5.27/5.46 inference(transitivity,[status(thm)],[8998, 8997])).
% 5.27/5.46 tff(9000,plain,
% 5.27/5.46 ((mult(mult(a, mult(a, b)), c) = mult(a, mult(mult(a, b), c))) <=> (mult(mult(a, c), mult(a, b)) = mult(a, mult(c, mult(a, b))))),
% 5.27/5.46 inference(symmetry,[status(thm)],[8999])).
% 5.27/5.46 tff(9001,plain,
% 5.27/5.46 (mult(mult(a, c), mult(a, b)) = mult(a, mult(c, mult(a, b)))),
% 5.27/5.46 inference(modus_ponens,[status(thm)],[256, 9000])).
% 5.27/5.46 tff(9002,plain,
% 5.27/5.46 ($false),
% 5.27/5.46 inference(unit_resolution,[status(thm)],[5107, 9001])).
% 5.27/5.46 tff(9003,plain,((mult(mult(a, c), mult(a, b)) = mult(a, mult(c, mult(a, b)))) | (~(mult(mult(a, mult(a, b)), c) = mult(a, mult(mult(a, b), c))))), inference(lemma,lemma(discharge,[]))).
% 5.27/5.46 tff(9004,plain,
% 5.27/5.46 (mult(mult(a, c), mult(a, b)) = mult(a, mult(c, mult(a, b)))),
% 5.27/5.46 inference(unit_resolution,[status(thm)],[9003, 8996])).
% 5.27/5.46 tff(9005,plain,
% 5.27/5.46 (mult(mult(mult(a, c), b), a) = mult(mult(a, mult(c, b)), a)),
% 5.27/5.46 inference(monotonicity,[status(thm)],[8955])).
% 5.27/5.46 tff(9006,plain,
% 5.27/5.46 (mult(mult(a, c), mult(b, a)) = mult(mult(a, c), mult(a, b))),
% 5.27/5.46 inference(transitivity,[status(thm)],[3928, 9005, 8184, 1434, 989])).
% 5.27/5.46 tff(9007,plain,
% 5.27/5.46 ((mult(mult(mult(a, c), a), b) = mult(mult(a, c), mult(b, a))) <=> (mult(mult(mult(a, c), a), b) = mult(mult(a, c), mult(a, b)))),
% 5.27/5.46 inference(monotonicity,[status(thm)],[9006])).
% 5.27/5.46 tff(9008,plain,
% 5.27/5.46 ((mult(mult(mult(a, c), a), b) = mult(mult(a, c), mult(a, b))) <=> (mult(mult(mult(a, c), a), b) = mult(mult(a, c), mult(b, a)))),
% 5.27/5.47 inference(symmetry,[status(thm)],[9007])).
% 5.27/5.47 tff(9009,plain,
% 5.27/5.47 (mult(mult(mult(a, c), a), b) = mult(mult(a, c), mult(b, a))),
% 5.27/5.47 inference(modus_ponens,[status(thm)],[3705, 9008])).
% 5.27/5.47 tff(9010,plain,
% 5.27/5.47 ($false),
% 5.27/5.47 inference(unit_resolution,[status(thm)],[3591, 9009])).
% 5.27/5.47 tff(9011,plain,((mult(mult(mult(a, c), a), b) = mult(mult(a, c), mult(b, a))) | (~(mult(mult(a, c), mult(a, b)) = mult(a, mult(c, mult(a, b))))) | (~(mult(mult(c, b), a) = mult(c, mult(a, b))))), inference(lemma,lemma(discharge,[]))).
% 5.27/5.47 tff(9012,plain,
% 5.27/5.47 (mult(mult(mult(a, c), a), b) = mult(mult(a, c), mult(b, a))),
% 5.27/5.47 inference(unit_resolution,[status(thm)],[9011, 1595, 9004])).
% 5.27/5.47 tff(9013,assumption,(mult(mult(mult(c, a), b), a) = mult(c, mult(mult(a, b), a))), introduced(assumption)).
% 5.27/5.47 tff(9014,plain,
% 5.27/5.47 (mult(c, mult(mult(a, b), a)) = mult(mult(mult(c, a), b), a)),
% 5.27/5.47 inference(symmetry,[status(thm)],[9013])).
% 5.27/5.47 tff(9015,assumption,(~(mult(mult(c, mult(a, b)), a) = mult(c, mult(a, mult(a, b))))), introduced(assumption)).
% 5.27/5.47 tff(9016,plain,
% 5.27/5.47 ((~(mult(mult(c, a), mult(a, b)) = mult(c, mult(mult(a, b), a)))) | (~(mult(mult(c, mult(a, b)), a) = mult(c, mult(a, mult(a, b)))))),
% 5.27/5.47 inference(unit_resolution,[status(thm)],[2927, 9015])).
% 5.27/5.47 tff(9017,plain,
% 5.27/5.47 (~((~(mult(mult(c, a), mult(a, b)) = mult(c, mult(a, mult(a, b))))) | (~(mult(mult(c, mult(a, b)), a) = mult(c, mult(mult(a, b), a)))))),
% 5.27/5.47 inference(unit_resolution,[status(thm)],[4187, 30, 9016])).
% 5.27/5.47 tff(9018,plain,
% 5.27/5.47 (mult(mult(c, mult(a, b)), a) = mult(c, mult(mult(a, b), a))),
% 5.27/5.47 inference(unit_resolution,[status(thm)],[2920, 9017])).
% 5.27/5.47 tff(9019,plain,
% 5.27/5.47 (mult(mult(c, mult(a, b)), a) = mult(mult(mult(c, a), b), a)),
% 5.27/5.47 inference(transitivity,[status(thm)],[9018, 9014])).
% 5.27/5.47 tff(9020,plain,
% 5.27/5.47 (rd(mult(mult(c, mult(a, b)), a), a) = rd(mult(mult(mult(c, a), b), a), a)),
% 5.27/5.47 inference(monotonicity,[status(thm)],[9019])).
% 5.27/5.47 tff(9021,plain,
% 5.27/5.47 (rd(mult(mult(mult(c, a), b), a), a) = rd(mult(mult(c, mult(a, b)), a), a)),
% 5.27/5.47 inference(symmetry,[status(thm)],[9020])).
% 5.27/5.47 tff(9022,plain,
% 5.27/5.47 (mult(mult(c, a), b) = mult(c, mult(a, b))),
% 5.27/5.47 inference(transitivity,[status(thm)],[5995, 9021, 3851])).
% 5.27/5.47 tff(9023,plain,
% 5.27/5.47 ($false),
% 5.27/5.47 inference(unit_resolution,[status(thm)],[570, 9022])).
% 5.27/5.47 tff(9024,plain,((~(mult(mult(mult(c, a), b), a) = mult(c, mult(mult(a, b), a)))) | (mult(mult(c, a), b) = mult(c, mult(a, b))) | (mult(mult(c, mult(a, b)), a) = mult(c, mult(a, mult(a, b))))), inference(lemma,lemma(discharge,[]))).
% 5.27/5.47 tff(9025,plain,
% 5.27/5.47 ((mult(mult(c, a), b) = mult(c, mult(a, b))) | (mult(mult(c, mult(a, b)), a) = mult(c, mult(a, mult(a, b))))),
% 5.27/5.47 inference(unit_resolution,[status(thm)],[9024, 2807])).
% 5.27/5.47 tff(9026,plain,
% 5.27/5.47 (mult(mult(c, mult(a, b)), a) = mult(c, mult(a, mult(a, b)))),
% 5.27/5.47 inference(unit_resolution,[status(thm)],[9025, 570])).
% 5.27/5.47 tff(9027,plain,
% 5.27/5.47 ((mult(mult(c, a), mult(b, a)) = mult(mult(mult(c, a), a), b)) <=> (mult(mult(mult(c, a), a), b) = mult(mult(c, a), mult(b, a)))),
% 5.27/5.47 inference(commutativity,[status(thm)],[])).
% 5.27/5.47 tff(9028,assumption,(~(mult(mult(mult(c, a), b), a) = mult(mult(c, a), mult(a, b)))), introduced(assumption)).
% 5.27/5.47 tff(9029,plain,
% 5.27/5.47 (((~(mult(mult(mult(c, a), a), b) = mult(mult(c, a), mult(b, a)))) | (~(mult(mult(mult(c, a), b), a) = mult(mult(c, a), mult(a, b))))) | (mult(mult(mult(c, a), b), a) = mult(mult(c, a), mult(a, b)))),
% 5.27/5.47 inference(tautology,[status(thm)],[])).
% 5.27/5.47 tff(9030,plain,
% 5.27/5.47 ((~(mult(mult(mult(c, a), a), b) = mult(mult(c, a), mult(b, a)))) | (~(mult(mult(mult(c, a), b), a) = mult(mult(c, a), mult(a, b))))),
% 5.27/5.47 inference(unit_resolution,[status(thm)],[9029, 9028])).
% 5.27/5.47 tff(9031,plain,
% 5.27/5.47 (((~![X0: $i, X1: $i, X2: $i] : ((~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X2, X1)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X1, X2)))))) | (~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X1, X2)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X2, X1)))))))) | ((~((~(mult(mult(mult(c, a), a), b) = mult(mult(c, a), mult(b, a)))) | (~(mult(mult(mult(c, a), b), a) = mult(mult(c, a), mult(a, b)))))) | (~((~(mult(mult(mult(c, a), a), b) = mult(mult(c, a), mult(a, b)))) | (~(mult(mult(mult(c, a), b), a) = mult(mult(c, a), mult(b, a)))))))) <=> ((~![X0: $i, X1: $i, X2: $i] : ((~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X2, X1)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X1, X2)))))) | (~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X1, X2)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X2, X1)))))))) | (~((~(mult(mult(mult(c, a), a), b) = mult(mult(c, a), mult(b, a)))) | (~(mult(mult(mult(c, a), b), a) = mult(mult(c, a), mult(a, b)))))) | (~((~(mult(mult(mult(c, a), a), b) = mult(mult(c, a), mult(a, b)))) | (~(mult(mult(mult(c, a), b), a) = mult(mult(c, a), mult(b, a)))))))),
% 5.27/5.47 inference(rewrite,[status(thm)],[])).
% 5.27/5.47 tff(9032,plain,
% 5.27/5.47 ((~![X0: $i, X1: $i, X2: $i] : ((~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X2, X1)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X1, X2)))))) | (~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X1, X2)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X2, X1)))))))) | ((~((~(mult(mult(mult(c, a), a), b) = mult(mult(c, a), mult(b, a)))) | (~(mult(mult(mult(c, a), b), a) = mult(mult(c, a), mult(a, b)))))) | (~((~(mult(mult(mult(c, a), a), b) = mult(mult(c, a), mult(a, b)))) | (~(mult(mult(mult(c, a), b), a) = mult(mult(c, a), mult(b, a)))))))),
% 5.27/5.47 inference(quant_inst,[status(thm)],[])).
% 5.27/5.47 tff(9033,plain,
% 5.27/5.47 ((~![X0: $i, X1: $i, X2: $i] : ((~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X2, X1)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X1, X2)))))) | (~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X1, X2)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X2, X1)))))))) | (~((~(mult(mult(mult(c, a), a), b) = mult(mult(c, a), mult(b, a)))) | (~(mult(mult(mult(c, a), b), a) = mult(mult(c, a), mult(a, b)))))) | (~((~(mult(mult(mult(c, a), a), b) = mult(mult(c, a), mult(a, b)))) | (~(mult(mult(mult(c, a), b), a) = mult(mult(c, a), mult(b, a))))))),
% 5.27/5.47 inference(modus_ponens,[status(thm)],[9032, 9031])).
% 5.27/5.47 tff(9034,plain,
% 5.27/5.47 ((~((~(mult(mult(mult(c, a), a), b) = mult(mult(c, a), mult(b, a)))) | (~(mult(mult(mult(c, a), b), a) = mult(mult(c, a), mult(a, b)))))) | (~((~(mult(mult(mult(c, a), a), b) = mult(mult(c, a), mult(a, b)))) | (~(mult(mult(mult(c, a), b), a) = mult(mult(c, a), mult(b, a))))))),
% 5.27/5.47 inference(unit_resolution,[status(thm)],[9033, 30])).
% 5.27/5.47 tff(9035,plain,
% 5.27/5.47 (~((~(mult(mult(mult(c, a), a), b) = mult(mult(c, a), mult(a, b)))) | (~(mult(mult(mult(c, a), b), a) = mult(mult(c, a), mult(b, a)))))),
% 5.27/5.47 inference(unit_resolution,[status(thm)],[9034, 9030])).
% 5.27/5.47 tff(9036,plain,
% 5.27/5.47 (((~(mult(mult(mult(c, a), a), b) = mult(mult(c, a), mult(a, b)))) | (~(mult(mult(mult(c, a), b), a) = mult(mult(c, a), mult(b, a))))) | (mult(mult(mult(c, a), a), b) = mult(mult(c, a), mult(a, b)))),
% 5.27/5.47 inference(tautology,[status(thm)],[])).
% 5.27/5.47 tff(9037,plain,
% 5.27/5.47 (mult(mult(mult(c, a), a), b) = mult(mult(c, a), mult(a, b))),
% 5.27/5.47 inference(unit_resolution,[status(thm)],[9036, 9035])).
% 5.27/5.47 tff(9038,plain,
% 5.27/5.47 (mult(mult(c, a), mult(a, b)) = mult(mult(mult(c, a), a), b)),
% 5.27/5.47 inference(symmetry,[status(thm)],[9037])).
% 5.27/5.47 tff(9039,plain,
% 5.27/5.47 ((mult(c, mult(mult(a, b), a)) = mult(mult(c, a), mult(a, b))) <=> (mult(mult(c, a), mult(a, b)) = mult(c, mult(mult(a, b), a)))),
% 5.27/5.47 inference(commutativity,[status(thm)],[])).
% 5.27/5.47 tff(9040,plain,
% 5.27/5.47 ((mult(mult(mult(c, a), b), a) = mult(mult(c, a), mult(a, b))) <=> (mult(c, mult(mult(a, b), a)) = mult(mult(c, a), mult(a, b)))),
% 5.27/5.47 inference(monotonicity,[status(thm)],[2807])).
% 5.27/5.47 tff(9041,plain,
% 5.27/5.47 ((mult(mult(mult(c, a), b), a) = mult(mult(c, a), mult(a, b))) <=> (mult(mult(c, a), mult(a, b)) = mult(c, mult(mult(a, b), a)))),
% 5.27/5.47 inference(transitivity,[status(thm)],[9040, 9039])).
% 5.27/5.47 tff(9042,plain,
% 5.27/5.47 ((~(mult(mult(mult(c, a), b), a) = mult(mult(c, a), mult(a, b)))) <=> (~(mult(mult(c, a), mult(a, b)) = mult(c, mult(mult(a, b), a))))),
% 5.27/5.47 inference(monotonicity,[status(thm)],[9041])).
% 5.27/5.47 tff(9043,plain,
% 5.27/5.47 (~(mult(mult(c, a), mult(a, b)) = mult(c, mult(mult(a, b), a)))),
% 5.27/5.47 inference(modus_ponens,[status(thm)],[9028, 9042])).
% 5.27/5.47 tff(9044,plain,
% 5.27/5.47 ((~(mult(mult(c, a), mult(a, b)) = mult(c, mult(mult(a, b), a)))) | (~(mult(mult(c, mult(a, b)), a) = mult(c, mult(a, mult(a, b)))))),
% 5.27/5.47 inference(unit_resolution,[status(thm)],[4169, 9043])).
% 5.27/5.47 tff(9045,plain,
% 5.27/5.47 (~((~(mult(mult(c, a), mult(a, b)) = mult(c, mult(a, mult(a, b))))) | (~(mult(mult(c, mult(a, b)), a) = mult(c, mult(mult(a, b), a)))))),
% 5.27/5.47 inference(unit_resolution,[status(thm)],[4188, 9044])).
% 5.27/5.47 tff(9046,plain,
% 5.27/5.47 (mult(mult(c, a), mult(a, b)) = mult(c, mult(a, mult(a, b)))),
% 5.27/5.47 inference(unit_resolution,[status(thm)],[4177, 9045])).
% 5.27/5.47 tff(9047,plain,
% 5.27/5.47 (mult(c, mult(a, mult(a, b))) = mult(mult(c, a), mult(a, b))),
% 5.27/5.47 inference(symmetry,[status(thm)],[9046])).
% 5.27/5.47 tff(9048,plain,
% 5.27/5.47 (mult(c, mult(a, mult(a, b))) = mult(mult(mult(c, a), a), b)),
% 5.27/5.47 inference(transitivity,[status(thm)],[9047, 9038])).
% 5.27/5.47 tff(9049,plain,
% 5.27/5.47 (((~(mult(mult(mult(c, a), a), b) = mult(mult(c, a), mult(a, b)))) | (~(mult(mult(mult(c, a), b), a) = mult(mult(c, a), mult(b, a))))) | (mult(mult(mult(c, a), b), a) = mult(mult(c, a), mult(b, a)))),
% 5.27/5.47 inference(tautology,[status(thm)],[])).
% 5.27/5.47 tff(9050,plain,
% 5.27/5.47 (mult(mult(mult(c, a), b), a) = mult(mult(c, a), mult(b, a))),
% 5.27/5.47 inference(unit_resolution,[status(thm)],[9049, 9035])).
% 5.27/5.47 tff(9051,plain,
% 5.27/5.47 (mult(mult(c, mult(a, b)), a) = mult(c, mult(mult(a, b), a))),
% 5.27/5.47 inference(unit_resolution,[status(thm)],[2920, 9045])).
% 5.27/5.47 tff(9052,plain,
% 5.27/5.47 (mult(mult(c, mult(a, b)), a) = mult(mult(c, a), mult(b, a))),
% 5.27/5.47 inference(transitivity,[status(thm)],[9051, 2808, 9050])).
% 5.27/5.47 tff(9053,plain,
% 5.27/5.47 ((mult(mult(c, mult(a, b)), a) = mult(c, mult(a, mult(a, b)))) <=> (mult(mult(c, a), mult(b, a)) = mult(mult(mult(c, a), a), b))),
% 5.27/5.47 inference(monotonicity,[status(thm)],[9052, 9048])).
% 5.27/5.47 tff(9054,plain,
% 5.27/5.47 ((mult(mult(c, mult(a, b)), a) = mult(c, mult(a, mult(a, b)))) <=> (mult(mult(mult(c, a), a), b) = mult(mult(c, a), mult(b, a)))),
% 5.27/5.47 inference(transitivity,[status(thm)],[9053, 9027])).
% 5.27/5.47 tff(9055,plain,
% 5.27/5.47 ((mult(mult(mult(c, a), a), b) = mult(mult(c, a), mult(b, a))) <=> (mult(mult(c, mult(a, b)), a) = mult(c, mult(a, mult(a, b))))),
% 5.27/5.47 inference(symmetry,[status(thm)],[9054])).
% 5.27/5.47 tff(9056,plain,
% 5.27/5.47 ((~(mult(mult(mult(c, a), a), b) = mult(mult(c, a), mult(b, a)))) <=> (~(mult(mult(c, mult(a, b)), a) = mult(c, mult(a, mult(a, b)))))),
% 5.27/5.47 inference(monotonicity,[status(thm)],[9055])).
% 5.27/5.47 tff(9057,plain,
% 5.27/5.47 (mult(mult(c, a), mult(b, a)) = mult(mult(mult(c, a), b), a)),
% 5.27/5.47 inference(symmetry,[status(thm)],[9050])).
% 5.27/5.47 tff(9058,plain,
% 5.27/5.47 (mult(mult(c, a), mult(b, a)) = mult(c, mult(mult(a, b), a))),
% 5.27/5.47 inference(transitivity,[status(thm)],[9057, 2807])).
% 5.27/5.47 tff(9059,plain,
% 5.27/5.47 ((mult(mult(mult(c, a), a), b) = mult(mult(c, a), mult(b, a))) <=> (mult(mult(c, a), mult(a, b)) = mult(c, mult(mult(a, b), a)))),
% 5.27/5.47 inference(monotonicity,[status(thm)],[9037, 9058])).
% 5.27/5.47 tff(9060,plain,
% 5.27/5.47 ((mult(mult(c, a), mult(a, b)) = mult(c, mult(mult(a, b), a))) <=> (mult(mult(mult(c, a), a), b) = mult(mult(c, a), mult(b, a)))),
% 5.27/5.47 inference(symmetry,[status(thm)],[9059])).
% 5.27/5.47 tff(9061,plain,
% 5.27/5.47 ((~(mult(mult(c, a), mult(a, b)) = mult(c, mult(mult(a, b), a)))) <=> (~(mult(mult(mult(c, a), a), b) = mult(mult(c, a), mult(b, a))))),
% 5.27/5.47 inference(monotonicity,[status(thm)],[9060])).
% 5.27/5.47 tff(9062,plain,
% 5.27/5.47 (~(mult(mult(mult(c, a), a), b) = mult(mult(c, a), mult(b, a)))),
% 5.27/5.47 inference(modus_ponens,[status(thm)],[9043, 9061])).
% 5.27/5.47 tff(9063,plain,
% 5.27/5.47 (~(mult(mult(c, mult(a, b)), a) = mult(c, mult(a, mult(a, b))))),
% 5.27/5.47 inference(modus_ponens,[status(thm)],[9062, 9056])).
% 5.27/5.47 tff(9064,plain,
% 5.27/5.47 ($false),
% 5.27/5.47 inference(unit_resolution,[status(thm)],[6056, 9063])).
% 5.27/5.47 tff(9065,plain,((mult(mult(mult(c, a), b), a) = mult(mult(c, a), mult(a, b))) | (~(mult(mult(c, mult(a, b)), a) = mult(c, mult(a, mult(a, b)))))), inference(lemma,lemma(discharge,[]))).
% 5.27/5.47 tff(9066,plain,
% 5.27/5.47 (mult(mult(mult(c, a), b), a) = mult(mult(c, a), mult(a, b))),
% 5.27/5.47 inference(unit_resolution,[status(thm)],[9065, 9026])).
% 5.27/5.47 tff(9067,plain,
% 5.27/5.47 ((~![B: $i, A: $i] : (ld(A, mult(A, B)) = B)) | (ld(mult(mult(b, a), mult(a, c)), mult(mult(mult(b, a), mult(a, c)), mult(b, a))) = mult(b, a))),
% 5.27/5.47 inference(quant_inst,[status(thm)],[])).
% 5.27/5.47 tff(9068,plain,
% 5.27/5.47 (ld(mult(mult(b, a), mult(a, c)), mult(mult(mult(b, a), mult(a, c)), mult(b, a))) = mult(b, a)),
% 5.27/5.47 inference(unit_resolution,[status(thm)],[9067, 9])).
% 5.27/5.47 tff(9069,plain,
% 5.27/5.47 (mult(mult(mult(a, b), a), c) = mult(mult(a, mult(b, a)), c)),
% 5.27/5.47 inference(symmetry,[status(thm)],[8336])).
% 5.27/5.47 tff(9070,plain,
% 5.27/5.47 (mult(mult(a, b), mult(a, c)) = mult(mult(mult(a, b), a), c)),
% 5.27/5.47 inference(symmetry,[status(thm)],[8231])).
% 5.27/5.47 tff(9071,plain,
% 5.27/5.47 ((mult(mult(mult(a, b), c), a) = mult(mult(a, b), mult(a, c))) <=> (mult(mult(a, b), mult(c, a)) = mult(mult(mult(a, b), a), c))),
% 5.27/5.47 inference(monotonicity,[status(thm)],[8229, 9070])).
% 5.27/5.47 tff(9072,plain,
% 5.27/5.47 ((mult(mult(mult(a, b), c), a) = mult(mult(a, b), mult(a, c))) <=> (mult(mult(mult(a, b), a), c) = mult(mult(a, b), mult(c, a)))),
% 5.27/5.47 inference(transitivity,[status(thm)],[9071, 4953])).
% 5.27/5.47 tff(9073,plain,
% 5.27/5.47 ((mult(mult(mult(a, b), a), c) = mult(mult(a, b), mult(c, a))) <=> (mult(mult(mult(a, b), c), a) = mult(mult(a, b), mult(a, c)))),
% 5.27/5.47 inference(symmetry,[status(thm)],[9072])).
% 5.27/5.47 tff(9074,plain,
% 5.27/5.47 ((~(mult(mult(mult(a, b), a), c) = mult(mult(a, b), mult(c, a)))) <=> (~(mult(mult(mult(a, b), c), a) = mult(mult(a, b), mult(a, c))))),
% 5.27/5.47 inference(monotonicity,[status(thm)],[9073])).
% 5.27/5.47 tff(9075,plain,
% 5.27/5.47 (~(mult(mult(mult(a, b), c), a) = mult(mult(a, b), mult(a, c)))),
% 5.27/5.47 inference(modus_ponens,[status(thm)],[4974, 9074])).
% 5.27/5.47 tff(9076,plain,
% 5.27/5.47 (mult(mult(mult(a, c), b), a) = mult(mult(a, c), mult(b, a))),
% 5.27/5.47 inference(unit_resolution,[status(thm)],[8968, 9075])).
% 5.27/5.47 tff(9077,plain,
% 5.27/5.47 ((~(mult(mult(c, a), b) = mult(c, mult(b, a)))) | (mult(mult(mult(a, b), c), a) = mult(mult(a, b), mult(a, c))) | (~(mult(mult(a, mult(b, a)), c) = mult(a, mult(c, mult(b, a)))))),
% 5.27/5.47 inference(unit_resolution,[status(thm)],[2153, 4193])).
% 5.27/5.47 tff(9078,plain,
% 5.27/5.47 (~(mult(mult(a, mult(b, a)), c) = mult(a, mult(c, mult(b, a))))),
% 5.27/5.47 inference(unit_resolution,[status(thm)],[9077, 3071, 248])).
% 5.27/5.47 tff(9079,plain,
% 5.27/5.47 ((~(mult(mult(a, c), mult(b, a)) = mult(a, mult(mult(b, a), c)))) | (~(mult(mult(a, mult(b, a)), c) = mult(a, mult(c, mult(b, a)))))),
% 5.27/5.47 inference(unit_resolution,[status(thm)],[217, 9078])).
% 5.27/5.47 tff(9080,plain,
% 5.27/5.47 ((mult(mult(c, a), b) = mult(c, mult(a, b))) | (~(mult(mult(mult(a, b), c), a) = mult(mult(a, b), mult(c, a)))) | (~(mult(mult(a, b), c) = mult(a, mult(c, b))))),
% 5.27/5.47 inference(unit_resolution,[status(thm)],[1598, 8184])).
% 5.27/5.47 tff(9081,plain,
% 5.27/5.47 (~(mult(mult(a, b), c) = mult(a, mult(c, b)))),
% 5.27/5.47 inference(unit_resolution,[status(thm)],[9080, 570, 370])).
% 5.27/5.47 tff(9082,plain,
% 5.27/5.47 (mult(mult(mult(a, c), b), a) = mult(mult(a, c), mult(b, a))),
% 5.27/5.47 inference(unit_resolution,[status(thm)],[8968, 248])).
% 5.27/5.47 tff(9083,plain,
% 5.27/5.47 (~(mult(mult(a, c), mult(b, a)) = mult(a, mult(c, mult(b, a))))),
% 5.27/5.47 inference(unit_resolution,[status(thm)],[2302, 3071, 370, 9082, 9081, 378])).
% 5.27/5.47 tff(9084,plain,
% 5.27/5.47 ((~(mult(mult(a, c), mult(b, a)) = mult(a, mult(c, mult(b, a))))) | (~(mult(mult(a, mult(b, a)), c) = mult(a, mult(mult(b, a), c))))),
% 5.27/5.47 inference(unit_resolution,[status(thm)],[120, 9083])).
% 5.27/5.47 tff(9085,plain,
% 5.27/5.47 ($false),
% 5.27/5.47 inference(unit_resolution,[status(thm)],[132, 9084, 9079])).
% 5.27/5.47 tff(9086,plain,((mult(mult(c, a), b) = mult(c, mult(a, b))) | (~(mult(mult(mult(a, b), c), a) = mult(mult(a, b), mult(c, a)))) | (mult(mult(mult(a, b), c), a) = mult(mult(a, b), mult(a, c)))), inference(lemma,lemma(discharge,[]))).
% 5.27/5.47 tff(9087,plain,
% 5.27/5.47 (mult(mult(c, a), b) = mult(c, mult(a, b))),
% 5.27/5.47 inference(unit_resolution,[status(thm)],[9086, 8229, 9075])).
% 5.27/5.47 tff(9088,plain,
% 5.27/5.47 (mult(mult(mult(a, c), mult(b, a)), b) = mult(mult(a, c), mult(mult(b, a), b))),
% 5.27/5.47 inference(unit_resolution,[status(thm)],[3557, 9076])).
% 5.27/5.47 tff(9089,plain,
% 5.27/5.47 ((mult(mult(c, a), b) = mult(c, mult(b, a))) | (~(mult(mult(mult(a, b), c), a) = mult(mult(a, b), mult(c, a)))) | (~(mult(mult(a, b), c) = mult(a, mult(c, b))))),
% 5.27/5.47 inference(unit_resolution,[status(thm)],[719, 8184])).
% 5.27/5.47 tff(9090,plain,
% 5.27/5.47 (~(mult(mult(a, b), c) = mult(a, mult(c, b)))),
% 5.27/5.47 inference(unit_resolution,[status(thm)],[9089, 40, 370])).
% 5.27/5.47 tff(9091,plain,
% 5.27/5.47 (mult(mult(c, a), b) = mult(c, mult(b, a))),
% 5.27/5.47 inference(unit_resolution,[status(thm)],[4922, 102, 2111, 1787])).
% 5.27/5.48 tff(9092,plain,
% 5.27/5.48 (mult(mult(mult(a, b), c), a) = mult(mult(a, b), mult(a, c))),
% 5.27/5.48 inference(unit_resolution,[status(thm)],[2356, 9091, 1787, 93, 102])).
% 5.27/5.48 tff(9093,plain,
% 5.27/5.48 (mult(mult(a, a), mult(b, c)) = mult(a, mult(a, mult(b, c)))),
% 5.27/5.48 inference(unit_resolution,[status(thm)],[8972, 9092, 3433, 1790, 2111, 1787])).
% 5.27/5.48 tff(9094,plain,
% 5.27/5.48 (mult(mult(a, mult(b, c)), a) = mult(a, mult(mult(b, c), a))),
% 5.27/5.48 inference(unit_resolution,[status(thm)],[1847, 9093])).
% 5.27/5.48 tff(9095,plain,
% 5.27/5.48 (mult(a, mult(mult(b, c), a)) = mult(mult(a, mult(b, c)), a)),
% 5.27/5.48 inference(symmetry,[status(thm)],[9094])).
% 5.27/5.48 tff(9096,plain,
% 5.27/5.48 (mult(a, mult(b, mult(c, a))) = mult(mult(mult(a, b), c), a)),
% 5.27/5.48 inference(transitivity,[status(thm)],[2416, 9095, 1795])).
% 5.27/5.48 tff(9097,plain,
% 5.27/5.48 ($false),
% 5.27/5.48 inference(unit_resolution,[status(thm)],[194, 9096])).
% 5.27/5.48 tff(9098,plain,((~(mult(mult(b, c), a) = mult(b, mult(c, a)))) | (mult(mult(a, b), c) = mult(a, mult(c, b))) | (~(mult(mult(mult(a, c), b), a) = mult(mult(a, c), mult(b, a))))), inference(lemma,lemma(discharge,[]))).
% 5.27/5.48 tff(9099,plain,
% 5.27/5.48 (~(mult(mult(b, c), a) = mult(b, mult(c, a)))),
% 5.27/5.48 inference(unit_resolution,[status(thm)],[9098, 1787, 4685])).
% 5.27/5.48 tff(9100,plain,
% 5.27/5.48 ((~(mult(mult(b, a), mult(c, a)) = mult(b, mult(a, mult(c, a))))) | (~(mult(mult(b, mult(c, a)), a) = mult(b, mult(mult(c, a), a))))),
% 5.27/5.48 inference(unit_resolution,[status(thm)],[4664, 9099, 3433])).
% 5.27/5.48 tff(9101,plain,
% 5.27/5.48 (mult(mult(b, mult(c, a)), a) = mult(b, mult(a, mult(c, a)))),
% 5.27/5.48 inference(unit_resolution,[status(thm)],[3488, 9100])).
% 5.27/5.48 tff(9102,plain,
% 5.27/5.48 (~(mult(mult(a, c), mult(a, b)) = mult(a, mult(mult(a, b), c)))),
% 5.27/5.48 inference(unit_resolution,[status(thm)],[4693, 8248, 4686, 9101, 1226])).
% 5.27/5.48 tff(9103,plain,
% 5.27/5.48 ((~(mult(mult(a, mult(a, b)), c) = mult(a, mult(c, mult(a, b))))) | (~(mult(mult(a, c), mult(a, b)) = mult(a, mult(mult(a, b), c))))),
% 5.27/5.48 inference(unit_resolution,[status(thm)],[601, 9102])).
% 5.27/5.48 tff(9104,plain,
% 5.27/5.48 (~((~(mult(mult(a, mult(a, b)), c) = mult(a, mult(mult(a, b), c)))) | (~(mult(mult(a, c), mult(a, b)) = mult(a, mult(c, mult(a, b))))))),
% 5.27/5.48 inference(unit_resolution,[status(thm)],[292, 9103])).
% 5.27/5.48 tff(9105,plain,
% 5.27/5.48 (mult(mult(a, c), mult(a, b)) = mult(a, mult(c, mult(a, b)))),
% 5.27/5.48 inference(unit_resolution,[status(thm)],[604, 9104])).
% 5.27/5.48 tff(9106,plain,
% 5.27/5.48 (~(mult(mult(b, mult(a, c)), a) = mult(b, mult(mult(a, c), a)))),
% 5.27/5.48 inference(unit_resolution,[status(thm)],[5187, 9099, 3433])).
% 5.27/5.48 tff(9107,plain,
% 5.27/5.48 ((~(mult(mult(b, a), mult(a, c)) = mult(b, mult(a, mult(a, c))))) | (~(mult(mult(b, mult(a, c)), a) = mult(b, mult(mult(a, c), a))))),
% 5.27/5.48 inference(unit_resolution,[status(thm)],[5189, 9106])).
% 5.27/5.48 tff(9108,plain,
% 5.27/5.48 (~((~(mult(mult(b, a), mult(a, c)) = mult(b, mult(mult(a, c), a)))) | (~(mult(mult(b, mult(a, c)), a) = mult(b, mult(a, mult(a, c))))))),
% 5.27/5.48 inference(unit_resolution,[status(thm)],[5201, 9107])).
% 5.27/5.48 tff(9109,plain,
% 5.27/5.48 (mult(mult(b, a), mult(a, c)) = mult(b, mult(mult(a, c), a))),
% 5.27/5.48 inference(unit_resolution,[status(thm)],[5203, 9108])).
% 5.27/5.48 tff(9110,plain,
% 5.27/5.48 (~(mult(mult(mult(b, a), c), a) = mult(mult(b, a), mult(c, a)))),
% 5.27/5.48 inference(unit_resolution,[status(thm)],[3515, 9099, 3433])).
% 5.27/5.48 tff(9111,plain,
% 5.27/5.48 ((~(mult(mult(mult(b, a), a), c) = mult(mult(b, a), mult(a, c)))) | (~(mult(mult(mult(b, a), c), a) = mult(mult(b, a), mult(c, a))))),
% 5.27/5.48 inference(unit_resolution,[status(thm)],[3442, 9110])).
% 5.27/5.48 tff(9112,plain,
% 5.27/5.48 (~((~(mult(mult(mult(b, a), a), c) = mult(mult(b, a), mult(c, a)))) | (~(mult(mult(mult(b, a), c), a) = mult(mult(b, a), mult(a, c)))))),
% 5.27/5.48 inference(unit_resolution,[status(thm)],[3440, 9111])).
% 5.27/5.48 tff(9113,plain,
% 5.27/5.48 (mult(mult(mult(b, a), c), a) = mult(mult(b, a), mult(a, c))),
% 5.27/5.48 inference(unit_resolution,[status(thm)],[3435, 9112])).
% 5.27/5.48 tff(9114,plain,
% 5.27/5.48 (mult(b, mult(a, mult(c, a))) = mult(mult(b, mult(c, a)), a)),
% 5.27/5.48 inference(symmetry,[status(thm)],[9101])).
% 5.27/5.48 tff(9115,plain,
% 5.27/5.48 (mult(b, mult(a, mult(c, a))) = mult(b, mult(mult(a, c), a))),
% 5.27/5.48 inference(transitivity,[status(thm)],[9114, 4657, 9113, 9109])).
% 5.27/5.48 tff(9116,plain,
% 5.27/5.48 (ld(b, mult(b, mult(a, mult(c, a)))) = ld(b, mult(b, mult(mult(a, c), a)))),
% 5.27/5.48 inference(monotonicity,[status(thm)],[9115])).
% 5.27/5.48 tff(9117,plain,
% 5.27/5.48 (mult(a, mult(c, a)) = mult(mult(a, c), a)),
% 5.27/5.48 inference(transitivity,[status(thm)],[3780, 9116, 3447])).
% 5.27/5.48 tff(9118,plain,
% 5.27/5.48 (mult(mult(a, mult(c, a)), b) = mult(mult(mult(a, c), a), b)),
% 5.27/5.48 inference(monotonicity,[status(thm)],[9117])).
% 5.27/5.48 tff(9119,plain,
% 5.27/5.48 (mult(a, mult(b, mult(c, a))) = mult(mult(a, mult(c, a)), b)),
% 5.27/5.48 inference(symmetry,[status(thm)],[8248])).
% 5.27/5.48 tff(9120,plain,
% 5.27/5.48 (mult(a, mult(b, mult(c, a))) = mult(a, mult(c, mult(a, b)))),
% 5.27/5.48 inference(transitivity,[status(thm)],[9119, 9118, 2236, 9105])).
% 5.27/5.48 tff(9121,plain,
% 5.27/5.48 (ld(a, mult(a, mult(b, mult(c, a)))) = ld(a, mult(a, mult(c, mult(a, b))))),
% 5.27/5.48 inference(monotonicity,[status(thm)],[9120])).
% 5.27/5.48 tff(9122,plain,
% 5.27/5.48 (ld(a, mult(a, mult(c, mult(a, b)))) = ld(a, mult(a, mult(b, mult(c, a))))),
% 5.27/5.48 inference(symmetry,[status(thm)],[9121])).
% 5.27/5.48 tff(9123,plain,
% 5.27/5.48 (mult(a, mult(mult(b, a), c)) = mult(mult(a, c), mult(a, b))),
% 5.27/5.48 inference(transitivity,[status(thm)],[4878, 9119, 9118, 2236])).
% 5.27/5.48 tff(9124,plain,
% 5.27/5.48 ((mult(mult(a, c), mult(b, a)) = mult(a, mult(mult(b, a), c))) <=> (mult(mult(a, c), mult(b, a)) = mult(mult(a, c), mult(a, b)))),
% 5.27/5.48 inference(monotonicity,[status(thm)],[9123])).
% 5.27/5.48 tff(9125,plain,
% 5.27/5.48 ((mult(mult(a, c), mult(b, a)) = mult(a, mult(mult(b, a), c))) <=> (mult(mult(a, c), mult(a, b)) = mult(mult(a, c), mult(b, a)))),
% 5.27/5.48 inference(transitivity,[status(thm)],[9124, 3574])).
% 5.27/5.48 tff(9126,plain,
% 5.27/5.48 ((mult(mult(a, c), mult(a, b)) = mult(mult(a, c), mult(b, a))) <=> (mult(mult(a, c), mult(b, a)) = mult(a, mult(mult(b, a), c)))),
% 5.27/5.48 inference(symmetry,[status(thm)],[9125])).
% 5.27/5.48 tff(9127,plain,
% 5.27/5.48 ((~(mult(mult(a, c), mult(a, b)) = mult(mult(a, c), mult(b, a)))) <=> (~(mult(mult(a, c), mult(b, a)) = mult(a, mult(mult(b, a), c))))),
% 5.27/5.48 inference(monotonicity,[status(thm)],[9126])).
% 5.27/5.48 tff(9128,plain,
% 5.27/5.48 ((mult(mult(mult(a, c), b), a) = mult(mult(a, c), mult(a, b))) <=> (mult(mult(a, c), mult(b, a)) = mult(mult(a, c), mult(a, b)))),
% 5.27/5.48 inference(monotonicity,[status(thm)],[4685])).
% 5.27/5.48 tff(9129,plain,
% 5.27/5.48 ((mult(mult(mult(a, c), b), a) = mult(mult(a, c), mult(a, b))) <=> (mult(mult(a, c), mult(a, b)) = mult(mult(a, c), mult(b, a)))),
% 5.27/5.48 inference(transitivity,[status(thm)],[9128, 3574])).
% 5.27/5.48 tff(9130,plain,
% 5.27/5.48 ((~(mult(mult(mult(a, c), b), a) = mult(mult(a, c), mult(a, b)))) <=> (~(mult(mult(a, c), mult(a, b)) = mult(mult(a, c), mult(b, a))))),
% 5.27/5.48 inference(monotonicity,[status(thm)],[9129])).
% 5.27/5.48 tff(9131,plain,
% 5.27/5.48 (~(mult(mult(a, c), mult(a, b)) = mult(mult(a, c), mult(b, a)))),
% 5.27/5.48 inference(modus_ponens,[status(thm)],[1226, 9130])).
% 5.27/5.48 tff(9132,plain,
% 5.27/5.48 (~(mult(mult(a, c), mult(b, a)) = mult(a, mult(mult(b, a), c)))),
% 5.27/5.48 inference(modus_ponens,[status(thm)],[9131, 9127])).
% 5.27/5.48 tff(9133,plain,
% 5.27/5.48 ((~(mult(mult(a, c), mult(b, a)) = mult(a, mult(mult(b, a), c)))) | (~(mult(mult(a, mult(b, a)), c) = mult(a, mult(c, mult(b, a)))))),
% 5.27/5.48 inference(unit_resolution,[status(thm)],[134, 9132])).
% 5.27/5.48 tff(9134,plain,
% 5.27/5.48 (~((~(mult(mult(a, c), mult(b, a)) = mult(a, mult(c, mult(b, a))))) | (~(mult(mult(a, mult(b, a)), c) = mult(a, mult(mult(b, a), c)))))),
% 5.27/5.48 inference(unit_resolution,[status(thm)],[132, 9133])).
% 5.27/5.48 tff(9135,plain,
% 5.27/5.48 (mult(mult(a, c), mult(b, a)) = mult(a, mult(c, mult(b, a)))),
% 5.27/5.48 inference(unit_resolution,[status(thm)],[120, 9134])).
% 5.27/5.48 tff(9136,plain,
% 5.27/5.48 (~(mult(mult(c, a), b) = mult(c, mult(b, a)))),
% 5.27/5.48 inference(unit_resolution,[status(thm)],[2302, 9135, 4685, 1787, 370, 679])).
% 5.27/5.48 tff(9137,plain,
% 5.27/5.48 ((~(mult(mult(c, b), a) = mult(c, mult(a, b)))) | (~(mult(mult(c, a), b) = mult(c, mult(b, a))))),
% 5.27/5.48 inference(unit_resolution,[status(thm)],[303, 9136])).
% 5.27/5.48 tff(9138,plain,
% 5.27/5.48 (~((~(mult(mult(c, b), a) = mult(c, mult(b, a)))) | (~(mult(mult(c, a), b) = mult(c, mult(a, b)))))),
% 5.27/5.48 inference(unit_resolution,[status(thm)],[301, 9137])).
% 5.27/5.48 tff(9139,plain,
% 5.27/5.48 (mult(mult(c, a), b) = mult(c, mult(a, b))),
% 5.27/5.48 inference(unit_resolution,[status(thm)],[296, 9138])).
% 5.27/5.48 tff(9140,plain,
% 5.27/5.48 (~(mult(mult(mult(a, b), c), a) = mult(mult(a, b), mult(a, c)))),
% 5.32/5.48 inference(unit_resolution,[status(thm)],[8972, 3404, 3433, 1790, 2111, 1787])).
% 5.32/5.48 tff(9141,plain,
% 5.32/5.48 ((~(mult(mult(mult(a, b), a), c) = mult(mult(a, b), mult(c, a)))) | (~(mult(mult(mult(a, b), c), a) = mult(mult(a, b), mult(a, c))))),
% 5.32/5.48 inference(unit_resolution,[status(thm)],[178, 9140])).
% 5.32/5.48 tff(9142,plain,
% 5.32/5.48 (~((~(mult(mult(mult(a, b), a), c) = mult(mult(a, b), mult(a, c)))) | (~(mult(mult(mult(a, b), c), a) = mult(mult(a, b), mult(c, a)))))),
% 5.32/5.48 inference(unit_resolution,[status(thm)],[183, 9141])).
% 5.32/5.48 tff(9143,plain,
% 5.32/5.48 (mult(mult(mult(a, b), c), a) = mult(mult(a, b), mult(c, a))),
% 5.32/5.48 inference(unit_resolution,[status(thm)],[185, 9142])).
% 5.32/5.48 tff(9144,plain,
% 5.32/5.48 (mult(mult(a, b), mult(c, a)) = mult(mult(mult(a, b), c), a)),
% 5.32/5.48 inference(symmetry,[status(thm)],[9143])).
% 5.32/5.48 tff(9145,plain,
% 5.32/5.48 ((mult(mult(a, b), mult(c, a)) = mult(a, mult(b, mult(c, a)))) <=> (mult(mult(mult(a, b), c), a) = mult(a, mult(b, mult(c, a))))),
% 5.32/5.48 inference(monotonicity,[status(thm)],[9144])).
% 5.32/5.48 tff(9146,plain,
% 5.32/5.48 ((mult(mult(a, b), mult(c, a)) = mult(a, mult(b, mult(c, a)))) <=> (mult(a, mult(b, mult(c, a))) = mult(mult(mult(a, b), c), a))),
% 5.32/5.48 inference(transitivity,[status(thm)],[9145, 15])).
% 5.32/5.48 tff(9147,plain,
% 5.32/5.48 ((mult(a, mult(b, mult(c, a))) = mult(mult(mult(a, b), c), a)) <=> (mult(mult(a, b), mult(c, a)) = mult(a, mult(b, mult(c, a))))),
% 5.32/5.48 inference(symmetry,[status(thm)],[9146])).
% 5.32/5.48 tff(9148,plain,
% 5.32/5.48 ((~(mult(a, mult(b, mult(c, a))) = mult(mult(mult(a, b), c), a))) <=> (~(mult(mult(a, b), mult(c, a)) = mult(a, mult(b, mult(c, a)))))),
% 5.32/5.48 inference(monotonicity,[status(thm)],[9147])).
% 5.32/5.48 tff(9149,plain,
% 5.32/5.48 (~(mult(mult(a, b), mult(c, a)) = mult(a, mult(b, mult(c, a))))),
% 5.32/5.48 inference(modus_ponens,[status(thm)],[194, 9148])).
% 5.32/5.48 tff(9150,plain,
% 5.32/5.48 ((~(mult(mult(a, b), mult(c, a)) = mult(a, mult(b, mult(c, a))))) | (~(mult(mult(a, mult(c, a)), b) = mult(a, mult(mult(c, a), b))))),
% 5.32/5.48 inference(unit_resolution,[status(thm)],[196, 9149])).
% 5.32/5.48 tff(9151,plain,
% 5.32/5.48 (~((~(mult(mult(a, b), mult(c, a)) = mult(a, mult(mult(c, a), b)))) | (~(mult(mult(a, mult(c, a)), b) = mult(a, mult(b, mult(c, a))))))),
% 5.32/5.48 inference(unit_resolution,[status(thm)],[201, 9150])).
% 5.32/5.48 tff(9152,plain,
% 5.32/5.48 (mult(mult(a, b), mult(c, a)) = mult(a, mult(mult(c, a), b))),
% 5.32/5.48 inference(unit_resolution,[status(thm)],[203, 9151])).
% 5.32/5.48 tff(9153,plain,
% 5.32/5.48 (mult(mult(a, mult(c, a)), b) = mult(a, mult(b, mult(c, a)))),
% 5.32/5.48 inference(unit_resolution,[status(thm)],[735, 9151])).
% 5.32/5.48 tff(9154,plain,
% 5.32/5.48 (~(mult(mult(a, c), mult(a, b)) = mult(a, mult(mult(a, b), c)))),
% 5.32/5.48 inference(unit_resolution,[status(thm)],[4693, 9153, 4686, 9101, 1226])).
% 5.32/5.48 tff(9155,plain,
% 5.32/5.48 ((~(mult(mult(a, mult(a, b)), c) = mult(a, mult(c, mult(a, b))))) | (~(mult(mult(a, c), mult(a, b)) = mult(a, mult(mult(a, b), c))))),
% 5.32/5.48 inference(unit_resolution,[status(thm)],[601, 9154])).
% 5.32/5.48 tff(9156,plain,
% 5.32/5.48 (~((~(mult(mult(a, mult(a, b)), c) = mult(a, mult(mult(a, b), c)))) | (~(mult(mult(a, c), mult(a, b)) = mult(a, mult(c, mult(a, b))))))),
% 5.32/5.48 inference(unit_resolution,[status(thm)],[292, 9155])).
% 5.32/5.48 tff(9157,plain,
% 5.32/5.48 (mult(mult(a, c), mult(a, b)) = mult(a, mult(c, mult(a, b)))),
% 5.32/5.48 inference(unit_resolution,[status(thm)],[604, 9156])).
% 5.32/5.48 tff(9158,plain,
% 5.32/5.48 (mult(a, mult(c, mult(a, b))) = mult(mult(a, c), mult(a, b))),
% 5.32/5.48 inference(symmetry,[status(thm)],[9157])).
% 5.32/5.48 tff(9159,plain,
% 5.32/5.48 (mult(mult(a, mult(a, b)), c) = mult(a, mult(mult(a, b), c))),
% 5.32/5.48 inference(unit_resolution,[status(thm)],[266, 9156])).
% 5.32/5.48 tff(9160,plain,
% 5.32/5.48 ((mult(mult(a, mult(a, b)), c) = mult(a, mult(c, mult(a, b)))) <=> (mult(a, mult(mult(a, b), c)) = mult(mult(a, c), mult(a, b)))),
% 5.32/5.48 inference(monotonicity,[status(thm)],[9159, 9158])).
% 5.32/5.48 tff(9161,plain,
% 5.32/5.48 ((mult(mult(a, mult(a, b)), c) = mult(a, mult(c, mult(a, b)))) <=> (mult(mult(a, c), mult(a, b)) = mult(a, mult(mult(a, b), c)))),
% 5.32/5.48 inference(transitivity,[status(thm)],[9160, 2979])).
% 5.32/5.48 tff(9162,plain,
% 5.32/5.48 ((mult(mult(a, c), mult(a, b)) = mult(a, mult(mult(a, b), c))) <=> (mult(mult(a, mult(a, b)), c) = mult(a, mult(c, mult(a, b))))),
% 5.32/5.48 inference(symmetry,[status(thm)],[9161])).
% 5.32/5.48 tff(9163,plain,
% 5.32/5.48 ((~(mult(mult(a, c), mult(a, b)) = mult(a, mult(mult(a, b), c)))) <=> (~(mult(mult(a, mult(a, b)), c) = mult(a, mult(c, mult(a, b)))))),
% 5.32/5.48 inference(monotonicity,[status(thm)],[9162])).
% 5.32/5.48 tff(9164,plain,
% 5.32/5.48 (~(mult(mult(a, mult(a, b)), c) = mult(a, mult(c, mult(a, b))))),
% 5.32/5.48 inference(modus_ponens,[status(thm)],[9154, 9163])).
% 5.32/5.48 tff(9165,plain,
% 5.32/5.48 (~(mult(mult(c, a), b) = mult(c, mult(a, b)))),
% 5.32/5.48 inference(unit_resolution,[status(thm)],[1861, 9164, 1790, 9143, 5142, 9152])).
% 5.32/5.48 tff(9166,plain,
% 5.32/5.48 ((~(mult(mult(c, b), a) = mult(c, mult(b, a)))) | (~(mult(mult(c, a), b) = mult(c, mult(a, b))))),
% 5.32/5.48 inference(unit_resolution,[status(thm)],[296, 9165])).
% 5.32/5.48 tff(9167,plain,
% 5.32/5.48 (~((~(mult(mult(c, b), a) = mult(c, mult(a, b)))) | (~(mult(mult(c, a), b) = mult(c, mult(b, a)))))),
% 5.32/5.48 inference(unit_resolution,[status(thm)],[301, 9166])).
% 5.32/5.48 tff(9168,plain,
% 5.32/5.48 (mult(a, mult(b, mult(c, a))) = mult(mult(a, mult(c, a)), b)),
% 5.32/5.48 inference(symmetry,[status(thm)],[9153])).
% 5.32/5.48 tff(9169,plain,
% 5.32/5.48 (mult(a, mult(mult(b, a), c)) = mult(mult(a, c), mult(a, b))),
% 5.32/5.48 inference(transitivity,[status(thm)],[4878, 9168, 9118, 2236])).
% 5.32/5.48 tff(9170,plain,
% 5.32/5.48 ((mult(mult(a, c), mult(b, a)) = mult(a, mult(mult(b, a), c))) <=> (mult(mult(a, c), mult(b, a)) = mult(mult(a, c), mult(a, b)))),
% 5.32/5.48 inference(monotonicity,[status(thm)],[9169])).
% 5.32/5.48 tff(9171,plain,
% 5.32/5.48 ((mult(mult(a, c), mult(b, a)) = mult(a, mult(mult(b, a), c))) <=> (mult(mult(a, c), mult(a, b)) = mult(mult(a, c), mult(b, a)))),
% 5.32/5.48 inference(transitivity,[status(thm)],[9170, 3574])).
% 5.32/5.48 tff(9172,plain,
% 5.32/5.48 ((mult(mult(a, c), mult(a, b)) = mult(mult(a, c), mult(b, a))) <=> (mult(mult(a, c), mult(b, a)) = mult(a, mult(mult(b, a), c)))),
% 5.32/5.48 inference(symmetry,[status(thm)],[9171])).
% 5.32/5.48 tff(9173,plain,
% 5.32/5.48 ((~(mult(mult(a, c), mult(a, b)) = mult(mult(a, c), mult(b, a)))) <=> (~(mult(mult(a, c), mult(b, a)) = mult(a, mult(mult(b, a), c))))),
% 5.32/5.48 inference(monotonicity,[status(thm)],[9172])).
% 5.32/5.48 tff(9174,plain,
% 5.32/5.48 (~(mult(mult(a, c), mult(b, a)) = mult(a, mult(mult(b, a), c)))),
% 5.32/5.48 inference(modus_ponens,[status(thm)],[9131, 9173])).
% 5.32/5.48 tff(9175,plain,
% 5.32/5.48 ((~(mult(mult(a, c), mult(b, a)) = mult(a, mult(mult(b, a), c)))) | (~(mult(mult(a, mult(b, a)), c) = mult(a, mult(c, mult(b, a)))))),
% 5.32/5.48 inference(unit_resolution,[status(thm)],[134, 9174])).
% 5.32/5.48 tff(9176,plain,
% 5.32/5.48 (~((~(mult(mult(a, c), mult(b, a)) = mult(a, mult(c, mult(b, a))))) | (~(mult(mult(a, mult(b, a)), c) = mult(a, mult(mult(b, a), c)))))),
% 5.32/5.48 inference(unit_resolution,[status(thm)],[132, 9175])).
% 5.32/5.48 tff(9177,plain,
% 5.32/5.48 (mult(mult(a, c), mult(b, a)) = mult(a, mult(c, mult(b, a)))),
% 5.32/5.48 inference(unit_resolution,[status(thm)],[120, 9176])).
% 5.32/5.48 tff(9178,plain,
% 5.32/5.48 (~(mult(mult(c, a), b) = mult(c, mult(b, a)))),
% 5.32/5.48 inference(unit_resolution,[status(thm)],[2302, 9177, 4685, 1787, 9143, 9152])).
% 5.32/5.48 tff(9179,plain,
% 5.32/5.48 ($false),
% 5.32/5.48 inference(unit_resolution,[status(thm)],[303, 9178, 9167])).
% 5.32/5.48 tff(9180,plain,((mult(mult(a, a), mult(b, c)) = mult(a, mult(a, mult(b, c)))) | (mult(mult(a, b), c) = mult(a, mult(c, b))) | (mult(mult(mult(a, c), b), a) = mult(mult(a, c), mult(a, b)))), inference(lemma,lemma(discharge,[]))).
% 5.32/5.48 tff(9181,plain,
% 5.32/5.48 (mult(mult(a, a), mult(b, c)) = mult(a, mult(a, mult(b, c)))),
% 5.32/5.48 inference(unit_resolution,[status(thm)],[9180, 1787, 1226])).
% 5.32/5.48 tff(9182,plain,
% 5.32/5.48 (mult(mult(a, mult(b, c)), a) = mult(a, mult(mult(b, c), a))),
% 5.32/5.48 inference(unit_resolution,[status(thm)],[1847, 9181])).
% 5.32/5.48 tff(9183,plain,
% 5.32/5.48 (mult(a, mult(mult(b, c), a)) = mult(mult(a, mult(b, c)), a)),
% 5.32/5.48 inference(symmetry,[status(thm)],[9182])).
% 5.32/5.48 tff(9184,plain,
% 5.32/5.48 (mult(a, mult(mult(b, c), a)) = mult(a, mult(mult(c, a), b))),
% 5.32/5.48 inference(transitivity,[status(thm)],[9183, 1795, 370, 679])).
% 5.32/5.48 tff(9185,plain,
% 5.32/5.48 (ld(a, mult(a, mult(mult(b, c), a))) = ld(a, mult(a, mult(mult(c, a), b)))),
% 5.32/5.48 inference(monotonicity,[status(thm)],[9184])).
% 5.32/5.48 tff(9186,plain,
% 5.32/5.48 (mult(mult(b, c), a) = mult(b, mult(c, a))),
% 5.32/5.48 inference(transitivity,[status(thm)],[5314, 9185, 209, 9139, 668, 9122, 77])).
% 5.32/5.48 tff(9187,plain,
% 5.32/5.48 ($false),
% 5.32/5.48 inference(unit_resolution,[status(thm)],[9099, 9186])).
% 5.32/5.48 tff(9188,plain,((~(mult(mult(mult(a, b), c), a) = mult(mult(a, b), mult(c, a)))) | (mult(mult(a, b), c) = mult(a, mult(c, b))) | (mult(mult(mult(a, c), b), a) = mult(mult(a, c), mult(a, b)))), inference(lemma,lemma(discharge,[]))).
% 5.32/5.48 tff(9189,plain,
% 5.32/5.48 (mult(mult(mult(a, c), b), a) = mult(mult(a, c), mult(a, b))),
% 5.32/5.48 inference(unit_resolution,[status(thm)],[9188, 9090, 370])).
% 5.32/5.48 tff(9190,plain,
% 5.32/5.48 (mult(mult(a, c), mult(a, b)) = mult(mult(mult(a, c), b), a)),
% 5.32/5.48 inference(symmetry,[status(thm)],[9189])).
% 5.32/5.48 tff(9191,plain,
% 5.32/5.48 (mult(mult(a, c), mult(a, b)) = mult(mult(a, c), mult(b, a))),
% 5.32/5.48 inference(transitivity,[status(thm)],[9190, 3564, 3581, 3547])).
% 5.32/5.48 tff(9192,plain,
% 5.32/5.48 (ld(mult(a, c), mult(mult(a, c), mult(a, b))) = ld(mult(a, c), mult(mult(a, c), mult(b, a)))),
% 5.32/5.48 inference(monotonicity,[status(thm)],[9191])).
% 5.32/5.48 tff(9193,plain,
% 5.32/5.48 (ld(mult(a, c), mult(mult(a, c), mult(b, a))) = ld(mult(a, c), mult(mult(a, c), mult(a, b)))),
% 5.32/5.48 inference(symmetry,[status(thm)],[9192])).
% 5.32/5.48 tff(9194,plain,
% 5.32/5.48 (mult(b, a) = mult(a, b)),
% 5.32/5.48 inference(transitivity,[status(thm)],[3339, 9193, 2368])).
% 5.32/5.48 tff(9195,plain,
% 5.32/5.48 (mult(c, mult(b, a)) = mult(c, mult(a, b))),
% 5.32/5.48 inference(monotonicity,[status(thm)],[9194])).
% 5.32/5.48 tff(9196,plain,
% 5.32/5.48 (mult(mult(c, b), a) = mult(c, mult(a, b))),
% 5.32/5.48 inference(transitivity,[status(thm)],[716, 9195])).
% 5.32/5.48 tff(9197,plain,
% 5.32/5.48 ((mult(mult(c, a), b) = mult(c, mult(b, a))) <=> (mult(c, mult(a, b)) = mult(mult(c, b), a))),
% 5.32/5.48 inference(monotonicity,[status(thm)],[268, 1054])).
% 5.32/5.48 tff(9198,plain,
% 5.32/5.48 ((mult(mult(c, a), b) = mult(c, mult(b, a))) <=> (mult(mult(c, b), a) = mult(c, mult(a, b)))),
% 5.32/5.48 inference(transitivity,[status(thm)],[9197, 1274])).
% 5.32/5.48 tff(9199,plain,
% 5.32/5.48 ((~(mult(mult(c, a), b) = mult(c, mult(b, a)))) <=> (~(mult(mult(c, b), a) = mult(c, mult(a, b))))),
% 5.32/5.48 inference(monotonicity,[status(thm)],[9198])).
% 5.32/5.48 tff(9200,plain,
% 5.32/5.48 (~(mult(mult(c, b), a) = mult(c, mult(a, b)))),
% 5.32/5.48 inference(modus_ponens,[status(thm)],[40, 9199])).
% 5.32/5.48 tff(9201,plain,
% 5.32/5.48 ($false),
% 5.32/5.48 inference(unit_resolution,[status(thm)],[9200, 9196])).
% 5.32/5.48 tff(9202,plain,((mult(mult(c, a), b) = mult(c, mult(b, a))) | (~(mult(mult(mult(a, c), mult(b, a)), b) = mult(mult(a, c), mult(mult(b, a), b)))) | (~(mult(mult(c, a), b) = mult(c, mult(a, b)))) | (~(mult(mult(mult(a, b), c), a) = mult(mult(a, b), mult(c, a))))), inference(lemma,lemma(discharge,[]))).
% 5.32/5.48 tff(9203,plain,
% 5.32/5.48 (mult(mult(c, a), b) = mult(c, mult(b, a))),
% 5.32/5.48 inference(unit_resolution,[status(thm)],[9202, 9088, 9087, 8229])).
% 5.32/5.48 tff(9204,plain,
% 5.32/5.48 (~(mult(mult(a, mult(b, a)), c) = mult(a, mult(c, mult(b, a))))),
% 5.32/5.48 inference(unit_resolution,[status(thm)],[9077, 9203, 9075])).
% 5.32/5.48 tff(9205,plain,
% 5.32/5.48 ((~(mult(mult(a, c), mult(b, a)) = mult(a, mult(mult(b, a), c)))) | (~(mult(mult(a, mult(b, a)), c) = mult(a, mult(c, mult(b, a)))))),
% 5.32/5.48 inference(unit_resolution,[status(thm)],[217, 9204])).
% 5.32/5.48 tff(9206,plain,
% 5.32/5.48 (~((~(mult(mult(a, c), mult(b, a)) = mult(a, mult(c, mult(b, a))))) | (~(mult(mult(a, mult(b, a)), c) = mult(a, mult(mult(b, a), c)))))),
% 5.32/5.48 inference(unit_resolution,[status(thm)],[132, 9205])).
% 5.32/5.48 tff(9207,plain,
% 5.32/5.48 (mult(mult(a, c), mult(b, a)) = mult(a, mult(c, mult(b, a)))),
% 5.32/5.48 inference(unit_resolution,[status(thm)],[120, 9206])).
% 5.32/5.48 tff(9208,plain,
% 5.32/5.48 ((mult(a, mult(b, mult(c, a))) = mult(mult(mult(a, b), c), a)) <=> (mult(a, mult(b, mult(c, a))) = mult(mult(a, b), mult(c, a)))),
% 5.32/5.48 inference(monotonicity,[status(thm)],[8229])).
% 5.32/5.48 tff(9209,plain,
% 5.32/5.48 ((mult(a, mult(b, mult(c, a))) = mult(mult(mult(a, b), c), a)) <=> (mult(mult(a, b), mult(c, a)) = mult(a, mult(b, mult(c, a))))),
% 5.32/5.48 inference(transitivity,[status(thm)],[9208, 274])).
% 5.32/5.48 tff(9210,plain,
% 5.32/5.48 ((~(mult(a, mult(b, mult(c, a))) = mult(mult(mult(a, b), c), a))) <=> (~(mult(mult(a, b), mult(c, a)) = mult(a, mult(b, mult(c, a)))))),
% 5.32/5.48 inference(monotonicity,[status(thm)],[9209])).
% 5.32/5.48 tff(9211,plain,
% 5.32/5.48 (~(mult(mult(a, b), mult(c, a)) = mult(a, mult(b, mult(c, a))))),
% 5.32/5.48 inference(modus_ponens,[status(thm)],[194, 9210])).
% 5.32/5.48 tff(9212,plain,
% 5.32/5.48 ((~(mult(mult(a, b), mult(c, a)) = mult(a, mult(b, mult(c, a))))) | (~(mult(mult(a, mult(c, a)), b) = mult(a, mult(mult(c, a), b))))),
% 5.32/5.49 inference(unit_resolution,[status(thm)],[196, 9211])).
% 5.32/5.49 tff(9213,plain,
% 5.32/5.49 (~((~(mult(mult(a, b), mult(c, a)) = mult(a, mult(mult(c, a), b)))) | (~(mult(mult(a, mult(c, a)), b) = mult(a, mult(b, mult(c, a))))))),
% 5.32/5.49 inference(unit_resolution,[status(thm)],[201, 9212])).
% 5.32/5.49 tff(9214,plain,
% 5.32/5.49 (mult(mult(a, mult(c, a)), b) = mult(a, mult(b, mult(c, a)))),
% 5.32/5.49 inference(unit_resolution,[status(thm)],[735, 9213])).
% 5.32/5.49 tff(9215,plain,
% 5.32/5.49 (~(mult(mult(mult(a, c), a), b) = mult(mult(a, c), mult(b, a)))),
% 5.32/5.49 inference(unit_resolution,[status(thm)],[8965, 9203, 9075])).
% 5.32/5.49 tff(9216,plain,
% 5.32/5.49 ((~(mult(mult(mult(a, c), a), b) = mult(mult(a, c), mult(b, a)))) | (~(mult(mult(mult(a, c), b), a) = mult(mult(a, c), mult(a, b))))),
% 5.32/5.49 inference(unit_resolution,[status(thm)],[954, 9215])).
% 5.32/5.49 tff(9217,plain,
% 5.32/5.49 (~((~(mult(mult(mult(a, c), a), b) = mult(mult(a, c), mult(a, b)))) | (~(mult(mult(mult(a, c), b), a) = mult(mult(a, c), mult(b, a)))))),
% 5.32/5.49 inference(unit_resolution,[status(thm)],[589, 9216])).
% 5.32/5.49 tff(9218,plain,
% 5.32/5.49 (mult(mult(mult(a, c), a), b) = mult(mult(a, c), mult(a, b))),
% 5.32/5.49 inference(unit_resolution,[status(thm)],[1238, 9217])).
% 5.32/5.49 tff(9219,plain,
% 5.32/5.49 (~(mult(mult(a, b), a) = mult(a, mult(a, b)))),
% 5.32/5.49 inference(unit_resolution,[status(thm)],[8264, 9218, 9075, 9087, 9214])).
% 5.32/5.49 tff(9220,plain,
% 5.32/5.49 ((mult(mult(a, b), a) = mult(a, mult(a, b))) | (~(mult(mult(c, a), b) = mult(c, mult(b, a)))) | (~(mult(mult(a, c), mult(b, a)) = mult(a, mult(c, mult(b, a))))) | (~(mult(mult(mult(a, c), b), a) = mult(mult(a, c), mult(b, a))))),
% 5.32/5.49 inference(unit_resolution,[status(thm)],[2500, 8955, 8184])).
% 5.32/5.49 tff(9221,plain,
% 5.32/5.49 ($false),
% 5.32/5.49 inference(unit_resolution,[status(thm)],[9220, 9219, 9207, 9203, 9076])).
% 5.32/5.49 tff(9222,plain,(mult(mult(mult(a, b), a), c) = mult(mult(a, b), mult(c, a))), inference(lemma,lemma(discharge,[]))).
% 5.32/5.49 tff(9223,plain,
% 5.32/5.49 (mult(mult(a, b), mult(c, a)) = mult(mult(mult(a, b), a), c)),
% 5.32/5.49 inference(symmetry,[status(thm)],[9222])).
% 5.32/5.49 tff(9224,plain,
% 5.32/5.49 (mult(mult(a, b), mult(c, a)) = mult(mult(a, mult(b, a)), c)),
% 5.32/5.49 inference(transitivity,[status(thm)],[9223, 9069])).
% 5.32/5.49 tff(9225,plain,
% 5.32/5.49 ((mult(mult(a, b), mult(c, a)) = mult(a, mult(b, mult(c, a)))) <=> (mult(mult(a, mult(b, a)), c) = mult(a, mult(mult(b, a), c)))),
% 5.32/5.49 inference(monotonicity,[status(thm)],[9224, 5246])).
% 5.32/5.49 tff(9226,plain,
% 5.32/5.49 (mult(mult(a, mult(b, a)), c) = mult(a, mult(mult(b, a), c))),
% 5.32/5.49 inference(modus_ponens,[status(thm)],[738, 9225])).
% 5.32/5.49 tff(9227,assumption,(~(mult(mult(c, a), mult(a, b)) = mult(c, mult(mult(a, b), a)))), introduced(assumption)).
% 5.32/5.49 tff(9228,plain,
% 5.32/5.49 ((~(mult(mult(c, a), mult(a, b)) = mult(c, mult(mult(a, b), a)))) | (~(mult(mult(c, mult(a, b)), a) = mult(c, mult(a, mult(a, b)))))),
% 5.32/5.49 inference(unit_resolution,[status(thm)],[4169, 9227])).
% 5.32/5.49 tff(9229,plain,
% 5.32/5.49 (~((~(mult(mult(c, a), mult(a, b)) = mult(c, mult(a, mult(a, b))))) | (~(mult(mult(c, mult(a, b)), a) = mult(c, mult(mult(a, b), a)))))),
% 5.32/5.49 inference(unit_resolution,[status(thm)],[4188, 9228])).
% 5.32/5.49 tff(9230,plain,
% 5.32/5.49 (mult(mult(c, a), mult(a, b)) = mult(c, mult(a, mult(a, b)))),
% 5.32/5.49 inference(unit_resolution,[status(thm)],[4177, 9229])).
% 5.32/5.49 tff(9231,plain,
% 5.32/5.49 (mult(c, mult(a, mult(a, b))) = mult(mult(c, a), mult(a, b))),
% 5.32/5.49 inference(symmetry,[status(thm)],[9230])).
% 5.32/5.49 tff(9232,plain,
% 5.32/5.49 (mult(mult(c, mult(a, b)), a) = mult(c, mult(mult(a, b), a))),
% 5.32/5.49 inference(unit_resolution,[status(thm)],[2920, 9229])).
% 5.32/5.49 tff(9233,plain,
% 5.32/5.49 ((mult(mult(c, mult(a, b)), a) = mult(c, mult(a, mult(a, b)))) <=> (mult(c, mult(mult(a, b), a)) = mult(mult(c, a), mult(a, b)))),
% 5.32/5.49 inference(monotonicity,[status(thm)],[9232, 9231])).
% 5.32/5.49 tff(9234,plain,
% 5.32/5.49 ((mult(mult(c, mult(a, b)), a) = mult(c, mult(a, mult(a, b)))) <=> (mult(mult(c, a), mult(a, b)) = mult(c, mult(mult(a, b), a)))),
% 5.32/5.49 inference(transitivity,[status(thm)],[9233, 9039])).
% 5.32/5.49 tff(9235,plain,
% 5.32/5.49 ((mult(mult(c, a), mult(a, b)) = mult(c, mult(mult(a, b), a))) <=> (mult(mult(c, mult(a, b)), a) = mult(c, mult(a, mult(a, b))))),
% 5.32/5.49 inference(symmetry,[status(thm)],[9234])).
% 5.32/5.49 tff(9236,plain,
% 5.32/5.49 ((~(mult(mult(c, a), mult(a, b)) = mult(c, mult(mult(a, b), a)))) <=> (~(mult(mult(c, mult(a, b)), a) = mult(c, mult(a, mult(a, b)))))),
% 5.32/5.49 inference(monotonicity,[status(thm)],[9235])).
% 5.32/5.49 tff(9237,plain,
% 5.32/5.49 (~(mult(mult(c, mult(a, b)), a) = mult(c, mult(a, mult(a, b))))),
% 5.32/5.49 inference(modus_ponens,[status(thm)],[9227, 9236])).
% 5.32/5.49 tff(9238,plain,
% 5.32/5.49 ($false),
% 5.32/5.49 inference(unit_resolution,[status(thm)],[6056, 9237])).
% 5.32/5.49 tff(9239,plain,((mult(mult(c, a), mult(a, b)) = mult(c, mult(mult(a, b), a))) | (~(mult(mult(c, mult(a, b)), a) = mult(c, mult(a, mult(a, b)))))), inference(lemma,lemma(discharge,[]))).
% 5.32/5.49 tff(9240,plain,
% 5.32/5.49 (mult(mult(c, a), mult(a, b)) = mult(c, mult(mult(a, b), a))),
% 5.32/5.49 inference(unit_resolution,[status(thm)],[9239, 9026])).
% 5.32/5.49 tff(9241,plain,
% 5.32/5.49 ((mult(mult(a, c), mult(b, a)) = mult(a, mult(c, mult(b, a)))) | (~(mult(mult(a, b), mult(c, a)) = mult(a, mult(b, mult(c, a))))) | (~(mult(mult(mult(a, b), a), c) = mult(mult(a, b), mult(c, a)))) | (~(mult(mult(a, b), a) = mult(a, mult(b, a))))),
% 5.32/5.49 inference(unit_resolution,[status(thm)],[3836, 3427])).
% 5.32/5.49 tff(9242,plain,
% 5.32/5.49 ((mult(mult(a, c), mult(b, a)) = mult(a, mult(c, mult(b, a)))) | (~(mult(mult(a, b), mult(c, a)) = mult(a, mult(b, mult(c, a))))) | (~(mult(mult(mult(a, b), a), c) = mult(mult(a, b), mult(c, a))))),
% 5.32/5.49 inference(unit_resolution,[status(thm)],[9241, 4193])).
% 5.32/5.49 tff(9243,plain,
% 5.32/5.49 ((mult(mult(a, c), mult(b, a)) = mult(a, mult(c, mult(b, a)))) | (~(mult(mult(a, b), mult(c, a)) = mult(a, mult(b, mult(c, a)))))),
% 5.32/5.49 inference(unit_resolution,[status(thm)],[9242, 9222])).
% 5.32/5.49 tff(9244,plain,
% 5.32/5.49 (mult(mult(a, c), mult(b, a)) = mult(a, mult(c, mult(b, a)))),
% 5.32/5.49 inference(unit_resolution,[status(thm)],[9243, 738])).
% 5.32/5.49 tff(9245,plain,
% 5.32/5.49 (mult(a, mult(c, mult(b, a))) = mult(a, mult(mult(c, a), b))),
% 5.32/5.49 inference(monotonicity,[status(thm)],[3072])).
% 5.32/5.49 tff(9246,plain,
% 5.32/5.49 (mult(a, mult(c, b)) = mult(mult(a, c), b)),
% 5.32/5.49 inference(symmetry,[status(thm)],[8955])).
% 5.32/5.49 tff(9247,plain,
% 5.32/5.49 (mult(mult(a, mult(c, b)), a) = mult(mult(mult(a, c), b), a)),
% 5.32/5.49 inference(monotonicity,[status(thm)],[9246])).
% 5.32/5.49 tff(9248,plain,
% 5.32/5.49 (mult(a, mult(mult(c, b), a)) = mult(a, mult(mult(c, a), b))),
% 5.32/5.49 inference(transitivity,[status(thm)],[8206, 9247, 93, 368, 9245])).
% 5.32/5.49 tff(9249,plain,
% 5.32/5.49 (ld(a, mult(a, mult(mult(c, b), a))) = ld(a, mult(a, mult(mult(c, a), b)))),
% 5.32/5.49 inference(monotonicity,[status(thm)],[9248])).
% 5.32/5.49 tff(9250,plain,
% 5.32/5.49 (ld(a, mult(a, mult(mult(c, a), b))) = ld(a, mult(a, mult(mult(c, b), a)))),
% 5.32/5.49 inference(symmetry,[status(thm)],[9249])).
% 5.32/5.49 tff(9251,plain,
% 5.32/5.49 (mult(mult(c, a), b) = mult(c, mult(a, b))),
% 5.32/5.49 inference(transitivity,[status(thm)],[210, 9250, 712, 1595])).
% 5.32/5.49 tff(9252,plain,
% 5.32/5.49 ($false),
% 5.32/5.49 inference(unit_resolution,[status(thm)],[570, 9251])).
% 5.32/5.49 tff(9253,plain,((~(mult(mult(mult(a, c), b), a) = mult(mult(a, c), mult(b, a)))) | (mult(mult(c, a), b) = mult(c, mult(a, b))) | (~(mult(mult(a, c), mult(b, a)) = mult(a, mult(c, mult(b, a)))))), inference(lemma,lemma(discharge,[]))).
% 5.32/5.49 tff(9254,plain,
% 5.32/5.49 (~(mult(mult(mult(a, c), b), a) = mult(mult(a, c), mult(b, a)))),
% 5.32/5.49 inference(unit_resolution,[status(thm)],[9253, 9244, 570])).
% 5.32/5.49 tff(9255,plain,
% 5.32/5.49 ((~![B: $i, A: $i] : (ld(A, mult(A, B)) = B)) | (ld(mult(c, a), mult(mult(c, a), mult(b, a))) = mult(b, a))),
% 5.32/5.49 inference(quant_inst,[status(thm)],[])).
% 5.32/5.49 tff(9256,plain,
% 5.32/5.49 (ld(mult(c, a), mult(mult(c, a), mult(b, a))) = mult(b, a)),
% 5.32/5.49 inference(unit_resolution,[status(thm)],[9255, 9])).
% 5.32/5.49 tff(9257,plain,
% 5.32/5.49 (mult(c, mult(a, mult(b, a))) = mult(mult(c, a), mult(b, a))),
% 5.32/5.49 inference(symmetry,[status(thm)],[4520])).
% 5.32/5.49 tff(9258,plain,
% 5.32/5.49 (mult(mult(a, mult(b, a)), c) = mult(mult(mult(a, b), a), c)),
% 5.32/5.49 inference(transitivity,[status(thm)],[1435, 3712, 3682, 2432])).
% 5.32/5.49 tff(9259,plain,
% 5.32/5.49 (rd(mult(mult(a, mult(b, a)), c), c) = rd(mult(mult(mult(a, b), a), c), c)),
% 5.32/5.49 inference(monotonicity,[status(thm)],[9258])).
% 5.32/5.49 tff(9260,plain,
% 5.32/5.49 (mult(a, mult(b, a)) = mult(mult(a, b), a)),
% 5.32/5.49 inference(transitivity,[status(thm)],[1440, 9259, 2015])).
% 5.32/5.49 tff(9261,plain,
% 5.32/5.49 (mult(c, mult(a, mult(b, a))) = mult(c, mult(mult(a, b), a))),
% 5.32/5.49 inference(monotonicity,[status(thm)],[9260])).
% 5.32/5.49 tff(9262,plain,
% 5.32/5.49 (mult(c, mult(mult(a, b), a)) = mult(c, mult(a, mult(b, a)))),
% 5.32/5.49 inference(symmetry,[status(thm)],[9261])).
% 5.32/5.49 tff(9263,assumption,(mult(mult(c, a), mult(a, b)) = mult(c, mult(mult(a, b), a))), introduced(assumption)).
% 5.32/5.49 tff(9264,plain,
% 5.32/5.49 (mult(mult(c, a), mult(a, b)) = mult(mult(c, a), mult(b, a))),
% 5.32/5.49 inference(transitivity,[status(thm)],[9263, 9262, 9257])).
% 5.32/5.49 tff(9265,plain,
% 5.32/5.49 (ld(mult(c, a), mult(mult(c, a), mult(a, b))) = ld(mult(c, a), mult(mult(c, a), mult(b, a)))),
% 5.32/5.49 inference(monotonicity,[status(thm)],[9264])).
% 5.32/5.49 tff(9266,plain,
% 5.32/5.49 ((~![B: $i, A: $i] : (ld(A, mult(A, B)) = B)) | (ld(mult(c, a), mult(mult(c, a), mult(a, b))) = mult(a, b))),
% 5.32/5.49 inference(quant_inst,[status(thm)],[])).
% 5.32/5.49 tff(9267,plain,
% 5.32/5.49 (ld(mult(c, a), mult(mult(c, a), mult(a, b))) = mult(a, b)),
% 5.32/5.49 inference(unit_resolution,[status(thm)],[9266, 9])).
% 5.32/5.49 tff(9268,plain,
% 5.32/5.49 (mult(a, b) = ld(mult(c, a), mult(mult(c, a), mult(a, b)))),
% 5.32/5.49 inference(symmetry,[status(thm)],[9267])).
% 5.32/5.49 tff(9269,plain,
% 5.32/5.49 (mult(a, b) = mult(b, a)),
% 5.32/5.49 inference(transitivity,[status(thm)],[9268, 9265, 9256])).
% 5.32/5.49 tff(9270,plain,
% 5.32/5.49 (mult(mult(a, c), mult(a, b)) = mult(mult(a, c), mult(b, a))),
% 5.32/5.49 inference(monotonicity,[status(thm)],[9269])).
% 5.32/5.49 tff(9271,plain,
% 5.32/5.49 (mult(mult(mult(a, c), b), a) = mult(mult(a, c), mult(b, a))),
% 5.32/5.49 inference(transitivity,[status(thm)],[971, 9270])).
% 5.32/5.49 tff(9272,plain,
% 5.32/5.49 ($false),
% 5.32/5.49 inference(unit_resolution,[status(thm)],[614, 9271])).
% 5.32/5.49 tff(9273,plain,((~(mult(mult(c, a), mult(b, a)) = mult(c, mult(a, mult(b, a))))) | (mult(mult(mult(a, c), b), a) = mult(mult(a, c), mult(b, a))) | (~(mult(mult(c, a), mult(a, b)) = mult(c, mult(mult(a, b), a)))) | (~(mult(mult(mult(a, b), a), c) = mult(mult(a, b), mult(c, a)))) | (~(mult(mult(a, mult(b, a)), c) = mult(a, mult(mult(b, a), c)))) | (~(mult(mult(a, b), mult(c, a)) = mult(a, mult(b, mult(c, a))))) | (~(mult(mult(b, a), c) = mult(b, mult(c, a))))), inference(lemma,lemma(discharge,[]))).
% 5.32/5.49 tff(9274,plain,
% 5.32/5.49 ((~(mult(mult(c, a), mult(b, a)) = mult(c, mult(a, mult(b, a))))) | (mult(mult(mult(a, c), b), a) = mult(mult(a, c), mult(b, a))) | (~(mult(mult(c, a), mult(a, b)) = mult(c, mult(mult(a, b), a)))) | (~(mult(mult(mult(a, b), a), c) = mult(mult(a, b), mult(c, a)))) | (~(mult(mult(a, mult(b, a)), c) = mult(a, mult(mult(b, a), c)))) | (~(mult(mult(a, b), mult(c, a)) = mult(a, mult(b, mult(c, a)))))),
% 5.32/5.49 inference(unit_resolution,[status(thm)],[9273, 3427])).
% 5.32/5.49 tff(9275,plain,
% 5.32/5.49 ((~(mult(mult(c, a), mult(b, a)) = mult(c, mult(a, mult(b, a))))) | (mult(mult(mult(a, c), b), a) = mult(mult(a, c), mult(b, a))) | (~(mult(mult(c, a), mult(a, b)) = mult(c, mult(mult(a, b), a)))) | (~(mult(mult(a, mult(b, a)), c) = mult(a, mult(mult(b, a), c)))) | (~(mult(mult(a, b), mult(c, a)) = mult(a, mult(b, mult(c, a)))))),
% 5.32/5.49 inference(unit_resolution,[status(thm)],[9274, 9222])).
% 5.32/5.49 tff(9276,plain,
% 5.32/5.49 (~(mult(mult(c, a), mult(b, a)) = mult(c, mult(a, mult(b, a))))),
% 5.32/5.49 inference(unit_resolution,[status(thm)],[9275, 9254, 738, 9240, 9226])).
% 5.32/5.49 tff(9277,plain,
% 5.32/5.49 ((~(mult(mult(c, a), mult(b, a)) = mult(c, mult(a, mult(b, a))))) | (~(mult(mult(c, mult(b, a)), a) = mult(c, mult(mult(b, a), a))))),
% 5.32/5.49 inference(unit_resolution,[status(thm)],[4526, 9276])).
% 5.32/5.49 tff(9278,plain,
% 5.32/5.49 (~((~(mult(mult(c, a), mult(b, a)) = mult(c, mult(mult(b, a), a)))) | (~(mult(mult(c, mult(b, a)), a) = mult(c, mult(a, mult(b, a))))))),
% 5.32/5.49 inference(unit_resolution,[status(thm)],[4534, 9277])).
% 5.32/5.49 tff(9279,plain,
% 5.32/5.49 (mult(mult(c, a), mult(b, a)) = mult(c, mult(mult(b, a), a))),
% 5.32/5.49 inference(unit_resolution,[status(thm)],[4536, 9278])).
% 5.32/5.49 tff(9280,plain,
% 5.32/5.49 (mult(c, mult(mult(b, a), a)) = mult(mult(c, a), mult(b, a))),
% 5.32/5.49 inference(symmetry,[status(thm)],[9279])).
% 5.32/5.49 tff(9281,plain,
% 5.32/5.49 ((mult(mult(c, mult(b, a)), a) = mult(c, mult(mult(b, a), a))) <=> (mult(mult(mult(c, a), b), a) = mult(mult(c, a), mult(b, a)))),
% 5.32/5.49 inference(monotonicity,[status(thm)],[4539, 9280])).
% 5.32/5.49 tff(9282,plain,
% 5.32/5.49 ((mult(mult(mult(c, a), b), a) = mult(mult(c, a), mult(b, a))) <=> (mult(mult(c, mult(b, a)), a) = mult(c, mult(mult(b, a), a)))),
% 5.32/5.49 inference(symmetry,[status(thm)],[9281])).
% 5.32/5.49 tff(9283,plain,
% 5.32/5.49 ((~(mult(mult(mult(c, a), b), a) = mult(mult(c, a), mult(b, a)))) <=> (~(mult(mult(c, mult(b, a)), a) = mult(c, mult(mult(b, a), a))))),
% 5.32/5.49 inference(monotonicity,[status(thm)],[9282])).
% 5.32/5.49 tff(9284,plain,
% 5.32/5.49 (~(mult(mult(c, mult(b, a)), a) = mult(c, mult(mult(b, a), a)))),
% 5.32/5.49 inference(modus_ponens,[status(thm)],[4514, 9283])).
% 5.32/5.49 tff(9285,plain,
% 5.32/5.49 ((mult(a, mult(c, mult(b, a))) = mult(mult(a, mult(b, a)), c)) <=> (mult(mult(a, mult(b, a)), c) = mult(a, mult(c, mult(b, a))))),
% 5.32/5.49 inference(commutativity,[status(thm)],[])).
% 5.32/5.49 tff(9286,plain,
% 5.32/5.49 (mult(a, mult(b, mult(c, a))) = mult(mult(a, b), mult(c, a))),
% 5.32/5.49 inference(symmetry,[status(thm)],[738])).
% 5.32/5.49 tff(9287,plain,
% 5.32/5.49 (mult(a, mult(b, mult(c, a))) = mult(mult(a, mult(b, a)), c)),
% 5.32/5.49 inference(transitivity,[status(thm)],[9286, 9223, 9069])).
% 5.32/5.49 tff(9288,plain,
% 5.32/5.49 (mult(a, mult(mult(c, a), b)) = mult(a, mult(c, mult(b, a)))),
% 5.32/5.49 inference(symmetry,[status(thm)],[9245])).
% 5.32/5.49 tff(9289,plain,
% 5.32/5.49 (mult(mult(a, mult(c, a)), b) = mult(a, mult(c, mult(b, a)))),
% 5.32/5.49 inference(transitivity,[status(thm)],[740, 9288])).
% 5.32/5.49 tff(9290,plain,
% 5.32/5.49 ((mult(mult(a, mult(c, a)), b) = mult(a, mult(b, mult(c, a)))) <=> (mult(a, mult(c, mult(b, a))) = mult(mult(a, mult(b, a)), c))),
% 5.32/5.49 inference(monotonicity,[status(thm)],[9289, 9287])).
% 5.32/5.49 tff(9291,plain,
% 5.32/5.49 ((mult(mult(a, mult(c, a)), b) = mult(a, mult(b, mult(c, a)))) <=> (mult(mult(a, mult(b, a)), c) = mult(a, mult(c, mult(b, a))))),
% 5.32/5.49 inference(transitivity,[status(thm)],[9290, 9285])).
% 5.32/5.49 tff(9292,plain,
% 5.32/5.49 ((~(mult(mult(a, mult(c, a)), b) = mult(a, mult(b, mult(c, a))))) <=> (~(mult(mult(a, mult(b, a)), c) = mult(a, mult(c, mult(b, a)))))),
% 5.32/5.49 inference(monotonicity,[status(thm)],[9291])).
% 5.32/5.49 tff(9293,plain,
% 5.32/5.49 (~(mult(mult(a, mult(b, a)), c) = mult(a, mult(c, mult(b, a))))),
% 5.32/5.49 inference(modus_ponens,[status(thm)],[733, 9292])).
% 5.32/5.49 tff(9294,plain,
% 5.32/5.49 ((mult(mult(mult(c, a), b), mult(mult(b, a), a)) = mult(mult(mult(mult(c, a), b), mult(b, a)), a)) <=> (mult(mult(mult(mult(c, a), b), mult(b, a)), a) = mult(mult(mult(c, a), b), mult(mult(b, a), a)))),
% 5.32/5.49 inference(commutativity,[status(thm)],[])).
% 5.32/5.49 tff(9295,plain,
% 5.32/5.49 ((mult(mult(mult(mult(c, a), b), a), mult(b, a)) = mult(mult(mult(c, a), b), mult(a, mult(b, a)))) <=> (mult(mult(mult(c, a), b), mult(mult(b, a), a)) = mult(mult(mult(mult(c, a), b), mult(b, a)), a))),
% 5.32/5.49 inference(monotonicity,[status(thm)],[4545, 4366])).
% 5.32/5.49 tff(9296,plain,
% 5.32/5.49 ((mult(mult(mult(mult(c, a), b), a), mult(b, a)) = mult(mult(mult(c, a), b), mult(a, mult(b, a)))) <=> (mult(mult(mult(mult(c, a), b), mult(b, a)), a) = mult(mult(mult(c, a), b), mult(mult(b, a), a)))),
% 5.32/5.49 inference(transitivity,[status(thm)],[9295, 9294])).
% 5.32/5.49 tff(9297,plain,
% 5.32/5.49 ((~(mult(mult(mult(mult(c, a), b), a), mult(b, a)) = mult(mult(mult(c, a), b), mult(a, mult(b, a))))) <=> (~(mult(mult(mult(mult(c, a), b), mult(b, a)), a) = mult(mult(mult(c, a), b), mult(mult(b, a), a))))),
% 5.32/5.49 inference(monotonicity,[status(thm)],[9296])).
% 5.32/5.49 tff(9298,plain,
% 5.32/5.49 (~(mult(mult(mult(mult(c, a), b), mult(b, a)), a) = mult(mult(mult(c, a), b), mult(mult(b, a), a)))),
% 5.32/5.49 inference(modus_ponens,[status(thm)],[4355, 9297])).
% 5.32/5.49 tff(9299,plain,
% 5.32/5.49 ((~![B: $i, A: $i] : (ld(A, mult(A, B)) = B)) | (ld(mult(c, a), mult(mult(c, a), mult(mult(a, b), a))) = mult(mult(a, b), a))),
% 5.32/5.49 inference(quant_inst,[status(thm)],[])).
% 5.32/5.49 tff(9300,plain,
% 5.32/5.49 (ld(mult(c, a), mult(mult(c, a), mult(mult(a, b), a))) = mult(mult(a, b), a)),
% 5.32/5.49 inference(unit_resolution,[status(thm)],[9299, 9])).
% 5.32/5.49 tff(9301,assumption,(~(mult(mult(mult(c, a), b), mult(a, a)) = mult(mult(c, a), mult(mult(a, a), b)))), introduced(assumption)).
% 5.32/5.49 tff(9302,plain,
% 5.32/5.49 (mult(mult(c, a), mult(a, mult(a, b))) = mult(mult(c, a), mult(mult(a, a), b))),
% 5.32/5.49 inference(monotonicity,[status(thm)],[6193])).
% 5.32/5.49 tff(9303,plain,
% 5.32/5.49 (mult(mult(c, mult(mult(a, b), a)), a) = mult(mult(mult(mult(c, a), b), a), a)),
% 5.32/5.49 inference(monotonicity,[status(thm)],[2808])).
% 5.32/5.49 tff(9304,plain,
% 5.32/5.49 (mult(mult(mult(c, a), mult(a, b)), a) = mult(mult(c, mult(mult(a, b), a)), a)),
% 5.32/5.50 inference(monotonicity,[status(thm)],[9263])).
% 5.32/5.50 tff(9305,plain,
% 5.32/5.50 (mult(mult(mult(c, a), mult(a, b)), a) = mult(mult(mult(c, a), b), mult(a, a))),
% 5.32/5.50 inference(transitivity,[status(thm)],[9304, 9303, 4454])).
% 5.32/5.50 tff(9306,plain,
% 5.32/5.50 ((mult(mult(mult(c, a), mult(a, b)), a) = mult(mult(c, a), mult(a, mult(a, b)))) <=> (mult(mult(mult(c, a), b), mult(a, a)) = mult(mult(c, a), mult(mult(a, a), b)))),
% 5.32/5.50 inference(monotonicity,[status(thm)],[9305, 9302])).
% 5.32/5.50 tff(9307,assumption,(mult(mult(mult(c, a), mult(a, b)), a) = mult(mult(c, a), mult(a, mult(a, b)))), introduced(assumption)).
% 5.32/5.50 tff(9308,plain,
% 5.32/5.50 (mult(mult(mult(c, a), b), mult(a, a)) = mult(mult(c, a), mult(mult(a, a), b))),
% 5.32/5.50 inference(modus_ponens,[status(thm)],[9307, 9306])).
% 5.32/5.50 tff(9309,plain,
% 5.32/5.50 ($false),
% 5.32/5.50 inference(unit_resolution,[status(thm)],[9301, 9308])).
% 5.32/5.50 tff(9310,plain,((~(mult(mult(mult(c, a), mult(a, b)), a) = mult(mult(c, a), mult(a, mult(a, b))))) | (mult(mult(mult(c, a), b), mult(a, a)) = mult(mult(c, a), mult(mult(a, a), b))) | (~(mult(mult(c, a), mult(a, b)) = mult(c, mult(mult(a, b), a))))), inference(lemma,lemma(discharge,[]))).
% 5.32/5.50 tff(9311,plain,
% 5.32/5.50 (~(mult(mult(mult(c, a), mult(a, b)), a) = mult(mult(c, a), mult(a, mult(a, b))))),
% 5.32/5.50 inference(unit_resolution,[status(thm)],[9310, 9301, 9263])).
% 5.32/5.50 tff(9312,plain,
% 5.32/5.50 (((~(mult(mult(mult(c, a), a), mult(a, b)) = mult(mult(c, a), mult(mult(a, b), a)))) | (~(mult(mult(mult(c, a), mult(a, b)), a) = mult(mult(c, a), mult(a, mult(a, b)))))) | (mult(mult(mult(c, a), mult(a, b)), a) = mult(mult(c, a), mult(a, mult(a, b))))),
% 5.32/5.50 inference(tautology,[status(thm)],[])).
% 5.32/5.50 tff(9313,plain,
% 5.32/5.50 ((~(mult(mult(mult(c, a), a), mult(a, b)) = mult(mult(c, a), mult(mult(a, b), a)))) | (~(mult(mult(mult(c, a), mult(a, b)), a) = mult(mult(c, a), mult(a, mult(a, b)))))),
% 5.32/5.50 inference(unit_resolution,[status(thm)],[9312, 9311])).
% 5.32/5.50 tff(9314,plain,
% 5.32/5.50 (((~![X0: $i, X1: $i, X2: $i] : ((~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X2, X1)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X1, X2)))))) | (~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X1, X2)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X2, X1)))))))) | ((~((~(mult(mult(mult(c, a), a), mult(a, b)) = mult(mult(c, a), mult(mult(a, b), a)))) | (~(mult(mult(mult(c, a), mult(a, b)), a) = mult(mult(c, a), mult(a, mult(a, b))))))) | (~((~(mult(mult(mult(c, a), a), mult(a, b)) = mult(mult(c, a), mult(a, mult(a, b))))) | (~(mult(mult(mult(c, a), mult(a, b)), a) = mult(mult(c, a), mult(mult(a, b), a)))))))) <=> ((~![X0: $i, X1: $i, X2: $i] : ((~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X2, X1)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X1, X2)))))) | (~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X1, X2)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X2, X1)))))))) | (~((~(mult(mult(mult(c, a), a), mult(a, b)) = mult(mult(c, a), mult(mult(a, b), a)))) | (~(mult(mult(mult(c, a), mult(a, b)), a) = mult(mult(c, a), mult(a, mult(a, b))))))) | (~((~(mult(mult(mult(c, a), a), mult(a, b)) = mult(mult(c, a), mult(a, mult(a, b))))) | (~(mult(mult(mult(c, a), mult(a, b)), a) = mult(mult(c, a), mult(mult(a, b), a)))))))),
% 5.32/5.50 inference(rewrite,[status(thm)],[])).
% 5.32/5.50 tff(9315,plain,
% 5.32/5.50 ((~![X0: $i, X1: $i, X2: $i] : ((~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X2, X1)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X1, X2)))))) | (~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X1, X2)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X2, X1)))))))) | ((~((~(mult(mult(mult(c, a), a), mult(a, b)) = mult(mult(c, a), mult(mult(a, b), a)))) | (~(mult(mult(mult(c, a), mult(a, b)), a) = mult(mult(c, a), mult(a, mult(a, b))))))) | (~((~(mult(mult(mult(c, a), a), mult(a, b)) = mult(mult(c, a), mult(a, mult(a, b))))) | (~(mult(mult(mult(c, a), mult(a, b)), a) = mult(mult(c, a), mult(mult(a, b), a)))))))),
% 5.32/5.50 inference(quant_inst,[status(thm)],[])).
% 5.32/5.50 tff(9316,plain,
% 5.32/5.50 ((~![X0: $i, X1: $i, X2: $i] : ((~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X2, X1)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X1, X2)))))) | (~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X1, X2)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X2, X1)))))))) | (~((~(mult(mult(mult(c, a), a), mult(a, b)) = mult(mult(c, a), mult(mult(a, b), a)))) | (~(mult(mult(mult(c, a), mult(a, b)), a) = mult(mult(c, a), mult(a, mult(a, b))))))) | (~((~(mult(mult(mult(c, a), a), mult(a, b)) = mult(mult(c, a), mult(a, mult(a, b))))) | (~(mult(mult(mult(c, a), mult(a, b)), a) = mult(mult(c, a), mult(mult(a, b), a))))))),
% 5.32/5.50 inference(modus_ponens,[status(thm)],[9315, 9314])).
% 5.32/5.50 tff(9317,plain,
% 5.32/5.50 ((~((~(mult(mult(mult(c, a), a), mult(a, b)) = mult(mult(c, a), mult(mult(a, b), a)))) | (~(mult(mult(mult(c, a), mult(a, b)), a) = mult(mult(c, a), mult(a, mult(a, b))))))) | (~((~(mult(mult(mult(c, a), a), mult(a, b)) = mult(mult(c, a), mult(a, mult(a, b))))) | (~(mult(mult(mult(c, a), mult(a, b)), a) = mult(mult(c, a), mult(mult(a, b), a))))))),
% 5.32/5.50 inference(unit_resolution,[status(thm)],[9316, 30])).
% 5.32/5.50 tff(9318,plain,
% 5.32/5.50 (~((~(mult(mult(mult(c, a), a), mult(a, b)) = mult(mult(c, a), mult(a, mult(a, b))))) | (~(mult(mult(mult(c, a), mult(a, b)), a) = mult(mult(c, a), mult(mult(a, b), a)))))),
% 5.32/5.50 inference(unit_resolution,[status(thm)],[9317, 9313])).
% 5.32/5.50 tff(9319,plain,
% 5.32/5.50 (((~(mult(mult(mult(c, a), a), mult(a, b)) = mult(mult(c, a), mult(a, mult(a, b))))) | (~(mult(mult(mult(c, a), mult(a, b)), a) = mult(mult(c, a), mult(mult(a, b), a))))) | (mult(mult(mult(c, a), mult(a, b)), a) = mult(mult(c, a), mult(mult(a, b), a)))),
% 5.32/5.50 inference(tautology,[status(thm)],[])).
% 5.32/5.50 tff(9320,plain,
% 5.32/5.50 (mult(mult(mult(c, a), mult(a, b)), a) = mult(mult(c, a), mult(mult(a, b), a))),
% 5.32/5.50 inference(unit_resolution,[status(thm)],[9319, 9318])).
% 5.32/5.50 tff(9321,plain,
% 5.32/5.50 (mult(mult(c, mult(mult(a, b), a)), a) = mult(mult(mult(c, a), mult(a, b)), a)),
% 5.32/5.50 inference(symmetry,[status(thm)],[9304])).
% 5.32/5.50 tff(9322,plain,
% 5.32/5.50 (mult(mult(mult(mult(c, a), b), a), a) = mult(mult(c, mult(mult(a, b), a)), a)),
% 5.32/5.50 inference(symmetry,[status(thm)],[9303])).
% 5.32/5.50 tff(9323,plain,
% 5.32/5.50 (((~(mult(mult(mult(c, a), b), mult(a, a)) = mult(mult(c, a), mult(mult(a, a), b)))) | (~(mult(mult(mult(c, a), mult(a, a)), b) = mult(mult(c, a), mult(b, mult(a, a)))))) | (mult(mult(mult(c, a), b), mult(a, a)) = mult(mult(c, a), mult(mult(a, a), b)))),
% 5.32/5.50 inference(tautology,[status(thm)],[])).
% 5.32/5.50 tff(9324,plain,
% 5.32/5.50 ((~(mult(mult(mult(c, a), b), mult(a, a)) = mult(mult(c, a), mult(mult(a, a), b)))) | (~(mult(mult(mult(c, a), mult(a, a)), b) = mult(mult(c, a), mult(b, mult(a, a)))))),
% 5.32/5.50 inference(unit_resolution,[status(thm)],[9323, 9301])).
% 5.32/5.50 tff(9325,plain,
% 5.32/5.50 (((~![X0: $i, X1: $i, X2: $i] : ((~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X2, X1)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X1, X2)))))) | (~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X1, X2)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X2, X1)))))))) | ((~((~(mult(mult(mult(c, a), b), mult(a, a)) = mult(mult(c, a), mult(mult(a, a), b)))) | (~(mult(mult(mult(c, a), mult(a, a)), b) = mult(mult(c, a), mult(b, mult(a, a))))))) | (~((~(mult(mult(mult(c, a), mult(a, a)), b) = mult(mult(c, a), mult(mult(a, a), b)))) | (~(mult(mult(mult(c, a), b), mult(a, a)) = mult(mult(c, a), mult(b, mult(a, a))))))))) <=> ((~![X0: $i, X1: $i, X2: $i] : ((~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X2, X1)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X1, X2)))))) | (~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X1, X2)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X2, X1)))))))) | (~((~(mult(mult(mult(c, a), b), mult(a, a)) = mult(mult(c, a), mult(mult(a, a), b)))) | (~(mult(mult(mult(c, a), mult(a, a)), b) = mult(mult(c, a), mult(b, mult(a, a))))))) | (~((~(mult(mult(mult(c, a), mult(a, a)), b) = mult(mult(c, a), mult(mult(a, a), b)))) | (~(mult(mult(mult(c, a), b), mult(a, a)) = mult(mult(c, a), mult(b, mult(a, a))))))))),
% 5.32/5.50 inference(rewrite,[status(thm)],[])).
% 5.32/5.50 tff(9326,plain,
% 5.32/5.50 (((~((~(mult(mult(mult(c, a), mult(a, a)), b) = mult(mult(c, a), mult(b, mult(a, a))))) | (~(mult(mult(mult(c, a), b), mult(a, a)) = mult(mult(c, a), mult(mult(a, a), b)))))) | (~((~(mult(mult(mult(c, a), mult(a, a)), b) = mult(mult(c, a), mult(mult(a, a), b)))) | (~(mult(mult(mult(c, a), b), mult(a, a)) = mult(mult(c, a), mult(b, mult(a, a)))))))) <=> ((~((~(mult(mult(mult(c, a), b), mult(a, a)) = mult(mult(c, a), mult(mult(a, a), b)))) | (~(mult(mult(mult(c, a), mult(a, a)), b) = mult(mult(c, a), mult(b, mult(a, a))))))) | (~((~(mult(mult(mult(c, a), mult(a, a)), b) = mult(mult(c, a), mult(mult(a, a), b)))) | (~(mult(mult(mult(c, a), b), mult(a, a)) = mult(mult(c, a), mult(b, mult(a, a))))))))),
% 5.32/5.50 inference(rewrite,[status(thm)],[])).
% 5.32/5.50 tff(9327,plain,
% 5.32/5.50 (((~![X0: $i, X1: $i, X2: $i] : ((~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X2, X1)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X1, X2)))))) | (~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X1, X2)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X2, X1)))))))) | ((~((~(mult(mult(mult(c, a), mult(a, a)), b) = mult(mult(c, a), mult(b, mult(a, a))))) | (~(mult(mult(mult(c, a), b), mult(a, a)) = mult(mult(c, a), mult(mult(a, a), b)))))) | (~((~(mult(mult(mult(c, a), mult(a, a)), b) = mult(mult(c, a), mult(mult(a, a), b)))) | (~(mult(mult(mult(c, a), b), mult(a, a)) = mult(mult(c, a), mult(b, mult(a, a))))))))) <=> ((~![X0: $i, X1: $i, X2: $i] : ((~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X2, X1)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X1, X2)))))) | (~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X1, X2)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X2, X1)))))))) | ((~((~(mult(mult(mult(c, a), b), mult(a, a)) = mult(mult(c, a), mult(mult(a, a), b)))) | (~(mult(mult(mult(c, a), mult(a, a)), b) = mult(mult(c, a), mult(b, mult(a, a))))))) | (~((~(mult(mult(mult(c, a), mult(a, a)), b) = mult(mult(c, a), mult(mult(a, a), b)))) | (~(mult(mult(mult(c, a), b), mult(a, a)) = mult(mult(c, a), mult(b, mult(a, a)))))))))),
% 5.32/5.50 inference(monotonicity,[status(thm)],[9326])).
% 5.32/5.50 tff(9328,plain,
% 5.32/5.50 (((~![X0: $i, X1: $i, X2: $i] : ((~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X2, X1)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X1, X2)))))) | (~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X1, X2)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X2, X1)))))))) | ((~((~(mult(mult(mult(c, a), mult(a, a)), b) = mult(mult(c, a), mult(b, mult(a, a))))) | (~(mult(mult(mult(c, a), b), mult(a, a)) = mult(mult(c, a), mult(mult(a, a), b)))))) | (~((~(mult(mult(mult(c, a), mult(a, a)), b) = mult(mult(c, a), mult(mult(a, a), b)))) | (~(mult(mult(mult(c, a), b), mult(a, a)) = mult(mult(c, a), mult(b, mult(a, a))))))))) <=> ((~![X0: $i, X1: $i, X2: $i] : ((~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X2, X1)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X1, X2)))))) | (~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X1, X2)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X2, X1)))))))) | (~((~(mult(mult(mult(c, a), b), mult(a, a)) = mult(mult(c, a), mult(mult(a, a), b)))) | (~(mult(mult(mult(c, a), mult(a, a)), b) = mult(mult(c, a), mult(b, mult(a, a))))))) | (~((~(mult(mult(mult(c, a), mult(a, a)), b) = mult(mult(c, a), mult(mult(a, a), b)))) | (~(mult(mult(mult(c, a), b), mult(a, a)) = mult(mult(c, a), mult(b, mult(a, a))))))))),
% 5.32/5.50 inference(transitivity,[status(thm)],[9327, 9325])).
% 5.32/5.50 tff(9329,plain,
% 5.32/5.50 ((~![X0: $i, X1: $i, X2: $i] : ((~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X2, X1)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X1, X2)))))) | (~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X1, X2)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X2, X1)))))))) | ((~((~(mult(mult(mult(c, a), mult(a, a)), b) = mult(mult(c, a), mult(b, mult(a, a))))) | (~(mult(mult(mult(c, a), b), mult(a, a)) = mult(mult(c, a), mult(mult(a, a), b)))))) | (~((~(mult(mult(mult(c, a), mult(a, a)), b) = mult(mult(c, a), mult(mult(a, a), b)))) | (~(mult(mult(mult(c, a), b), mult(a, a)) = mult(mult(c, a), mult(b, mult(a, a))))))))),
% 5.32/5.50 inference(quant_inst,[status(thm)],[])).
% 5.32/5.50 tff(9330,plain,
% 5.32/5.50 ((~![X0: $i, X1: $i, X2: $i] : ((~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X2, X1)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X1, X2)))))) | (~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X1, X2)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X2, X1)))))))) | (~((~(mult(mult(mult(c, a), b), mult(a, a)) = mult(mult(c, a), mult(mult(a, a), b)))) | (~(mult(mult(mult(c, a), mult(a, a)), b) = mult(mult(c, a), mult(b, mult(a, a))))))) | (~((~(mult(mult(mult(c, a), mult(a, a)), b) = mult(mult(c, a), mult(mult(a, a), b)))) | (~(mult(mult(mult(c, a), b), mult(a, a)) = mult(mult(c, a), mult(b, mult(a, a)))))))),
% 5.32/5.50 inference(modus_ponens,[status(thm)],[9329, 9328])).
% 5.32/5.50 tff(9331,plain,
% 5.32/5.50 ((~((~(mult(mult(mult(c, a), b), mult(a, a)) = mult(mult(c, a), mult(mult(a, a), b)))) | (~(mult(mult(mult(c, a), mult(a, a)), b) = mult(mult(c, a), mult(b, mult(a, a))))))) | (~((~(mult(mult(mult(c, a), mult(a, a)), b) = mult(mult(c, a), mult(mult(a, a), b)))) | (~(mult(mult(mult(c, a), b), mult(a, a)) = mult(mult(c, a), mult(b, mult(a, a)))))))),
% 5.32/5.50 inference(unit_resolution,[status(thm)],[9330, 30])).
% 5.32/5.50 tff(9332,plain,
% 5.32/5.50 (~((~(mult(mult(mult(c, a), mult(a, a)), b) = mult(mult(c, a), mult(mult(a, a), b)))) | (~(mult(mult(mult(c, a), b), mult(a, a)) = mult(mult(c, a), mult(b, mult(a, a))))))),
% 5.32/5.50 inference(unit_resolution,[status(thm)],[9331, 9324])).
% 5.32/5.50 tff(9333,plain,
% 5.32/5.50 (((~(mult(mult(mult(c, a), mult(a, a)), b) = mult(mult(c, a), mult(mult(a, a), b)))) | (~(mult(mult(mult(c, a), b), mult(a, a)) = mult(mult(c, a), mult(b, mult(a, a)))))) | (mult(mult(mult(c, a), b), mult(a, a)) = mult(mult(c, a), mult(b, mult(a, a))))),
% 5.32/5.50 inference(tautology,[status(thm)],[])).
% 5.32/5.50 tff(9334,plain,
% 5.32/5.50 (mult(mult(mult(c, a), b), mult(a, a)) = mult(mult(c, a), mult(b, mult(a, a)))),
% 5.32/5.50 inference(unit_resolution,[status(thm)],[9333, 9332])).
% 5.32/5.50 tff(9335,plain,
% 5.32/5.50 (mult(mult(c, a), mult(b, mult(a, a))) = mult(mult(mult(c, a), b), mult(a, a))),
% 5.32/5.50 inference(symmetry,[status(thm)],[9334])).
% 5.32/5.50 tff(9336,plain,
% 5.32/5.50 (mult(mult(c, a), mult(mult(b, a), a)) = mult(mult(c, a), mult(b, mult(a, a)))),
% 5.32/5.50 inference(monotonicity,[status(thm)],[4602])).
% 5.32/5.50 tff(9337,plain,
% 5.32/5.50 (mult(mult(c, a), mult(mult(b, a), a)) = mult(mult(c, a), mult(mult(a, b), a))),
% 5.32/5.50 inference(transitivity,[status(thm)],[9336, 9335, 4455, 9322, 9321, 9320])).
% 5.32/5.50 tff(9338,plain,
% 5.32/5.50 (ld(mult(c, a), mult(mult(c, a), mult(mult(b, a), a))) = ld(mult(c, a), mult(mult(c, a), mult(mult(a, b), a)))),
% 5.32/5.50 inference(monotonicity,[status(thm)],[9337])).
% 5.32/5.50 tff(9339,plain,
% 5.32/5.50 ((~![B: $i, A: $i] : (ld(A, mult(A, B)) = B)) | (ld(mult(c, a), mult(mult(c, a), mult(mult(b, a), a))) = mult(mult(b, a), a))),
% 5.32/5.50 inference(quant_inst,[status(thm)],[])).
% 5.32/5.50 tff(9340,plain,
% 5.32/5.50 (ld(mult(c, a), mult(mult(c, a), mult(mult(b, a), a))) = mult(mult(b, a), a)),
% 5.32/5.50 inference(unit_resolution,[status(thm)],[9339, 9])).
% 5.32/5.50 tff(9341,plain,
% 5.32/5.50 (mult(mult(b, a), a) = ld(mult(c, a), mult(mult(c, a), mult(mult(b, a), a)))),
% 5.32/5.50 inference(symmetry,[status(thm)],[9340])).
% 5.32/5.50 tff(9342,plain,
% 5.32/5.50 (mult(mult(b, a), a) = mult(mult(a, b), a)),
% 5.32/5.50 inference(transitivity,[status(thm)],[9341, 9338, 9300])).
% 5.32/5.50 tff(9343,plain,
% 5.32/5.50 (mult(mult(mult(c, a), b), mult(mult(b, a), a)) = mult(mult(mult(c, a), b), mult(mult(a, b), a))),
% 5.32/5.50 inference(monotonicity,[status(thm)],[9342])).
% 5.32/5.50 tff(9344,plain,
% 5.32/5.50 (mult(mult(mult(c, a), b), mult(mult(a, b), a)) = mult(mult(mult(c, a), b), mult(mult(b, a), a))),
% 5.32/5.50 inference(symmetry,[status(thm)],[9343])).
% 5.32/5.50 tff(9345,plain,
% 5.32/5.50 (mult(mult(mult(mult(c, a), b), mult(b, a)), a) = mult(mult(mult(c, a), b), mult(mult(b, a), a))),
% 5.32/5.50 inference(transitivity,[status(thm)],[4416, 4341, 9344])).
% 5.32/5.50 tff(9346,assumption,(~(mult(mult(mult(mult(c, a), b), mult(b, a)), a) = mult(mult(mult(c, a), b), mult(mult(b, a), a)))), introduced(assumption)).
% 5.32/5.50 tff(9347,plain,
% 5.32/5.50 ($false),
% 5.32/5.50 inference(unit_resolution,[status(thm)],[9346, 9345])).
% 5.32/5.50 tff(9348,plain,((mult(mult(mult(c, a), b), mult(a, a)) = mult(mult(c, a), mult(mult(a, a), b))) | (mult(mult(mult(mult(c, a), b), mult(b, a)), a) = mult(mult(mult(c, a), b), mult(mult(b, a), a))) | (~(mult(mult(mult(mult(c, a), b), mult(b, a)), a) = mult(mult(mult(c, a), b), mult(a, mult(b, a))))) | (~(mult(mult(c, a), mult(a, b)) = mult(c, mult(mult(a, b), a))))), inference(lemma,lemma(discharge,[]))).
% 5.32/5.50 tff(9349,plain,
% 5.32/5.50 (mult(mult(mult(c, a), b), mult(a, a)) = mult(mult(c, a), mult(mult(a, a), b))),
% 5.32/5.50 inference(unit_resolution,[status(thm)],[9348, 9298, 4363, 9240])).
% 5.32/5.51 tff(9350,plain,
% 5.32/5.51 ((~![B: $i, A: $i] : (rd(mult(A, B), B) = A)) | (rd(mult(mult(b, a), a), a) = mult(b, a))),
% 5.32/5.51 inference(quant_inst,[status(thm)],[])).
% 5.32/5.51 tff(9351,plain,
% 5.32/5.51 (rd(mult(mult(b, a), a), a) = mult(b, a)),
% 5.32/5.51 inference(unit_resolution,[status(thm)],[9350, 72])).
% 5.32/5.51 tff(9352,plain,
% 5.32/5.51 (mult(mult(c, a), mult(b, mult(a, a))) = mult(mult(c, a), mult(mult(b, a), a))),
% 5.32/5.51 inference(symmetry,[status(thm)],[9336])).
% 5.32/5.51 tff(9353,plain,
% 5.32/5.51 ((mult(mult(c, a), mult(mult(a, a), b)) = mult(mult(mult(c, a), b), mult(a, a))) <=> (mult(mult(mult(c, a), b), mult(a, a)) = mult(mult(c, a), mult(mult(a, a), b)))),
% 5.32/5.51 inference(commutativity,[status(thm)],[])).
% 5.32/5.51 tff(9354,plain,
% 5.32/5.51 (mult(c, mult(mult(a, mult(a, b)), a)) = mult(mult(mult(c, a), mult(a, b)), a)),
% 5.32/5.51 inference(symmetry,[status(thm)],[7605])).
% 5.32/5.51 tff(9355,plain,
% 5.32/5.51 (mult(c, mult(mult(mult(a, a), b), a)) = mult(c, mult(mult(a, mult(a, b)), a))),
% 5.32/5.51 inference(monotonicity,[status(thm)],[7687])).
% 5.32/5.51 tff(9356,plain,
% 5.32/5.51 (mult(c, mult(mult(mult(a, a), b), a)) = mult(mult(mult(c, a), b), mult(a, a))),
% 5.32/5.51 inference(transitivity,[status(thm)],[9355, 9354, 9304, 9303, 4454])).
% 5.32/5.51 tff(9357,plain,
% 5.32/5.51 ((mult(mult(c, a), mult(mult(a, a), b)) = mult(c, mult(mult(mult(a, a), b), a))) <=> (mult(mult(c, a), mult(mult(a, a), b)) = mult(mult(mult(c, a), b), mult(a, a)))),
% 5.32/5.51 inference(monotonicity,[status(thm)],[9356])).
% 5.32/5.51 tff(9358,plain,
% 5.32/5.51 ((mult(mult(c, a), mult(mult(a, a), b)) = mult(c, mult(mult(mult(a, a), b), a))) <=> (mult(mult(mult(c, a), b), mult(a, a)) = mult(mult(c, a), mult(mult(a, a), b)))),
% 5.32/5.51 inference(transitivity,[status(thm)],[9357, 9353])).
% 5.32/5.51 tff(9359,plain,
% 5.32/5.51 ((~(mult(mult(c, a), mult(mult(a, a), b)) = mult(c, mult(mult(mult(a, a), b), a)))) <=> (~(mult(mult(mult(c, a), b), mult(a, a)) = mult(mult(c, a), mult(mult(a, a), b))))),
% 5.32/5.51 inference(monotonicity,[status(thm)],[9358])).
% 5.32/5.51 tff(9360,assumption,(~(mult(mult(mult(mult(c, a), b), mult(a, a)), b) = mult(mult(mult(c, a), b), mult(b, mult(a, a))))), introduced(assumption)).
% 5.32/5.51 tff(9361,assumption,(mult(mult(c, a), mult(mult(a, a), b)) = mult(c, mult(mult(mult(a, a), b), a))), introduced(assumption)).
% 5.32/5.51 tff(9362,plain,
% 5.32/5.51 (mult(mult(mult(c, a), b), mult(b, mult(a, a))) = mult(mult(mult(c, a), b), mult(mult(b, a), a))),
% 5.32/5.51 inference(monotonicity,[status(thm)],[8656])).
% 5.32/5.51 tff(9363,plain,
% 5.32/5.51 (mult(mult(mult(c, a), b), mult(mult(b, a), a)) = mult(mult(mult(c, a), b), mult(b, mult(a, a)))),
% 5.32/5.51 inference(symmetry,[status(thm)],[9362])).
% 5.32/5.51 tff(9364,plain,
% 5.32/5.51 ((~![B: $i, A: $i] : (ld(A, mult(A, B)) = B)) | (ld(mult(c, a), mult(mult(c, a), mult(mult(a, a), b))) = mult(mult(a, a), b))),
% 5.32/5.51 inference(quant_inst,[status(thm)],[])).
% 5.32/5.51 tff(9365,plain,
% 5.32/5.51 (ld(mult(c, a), mult(mult(c, a), mult(mult(a, a), b))) = mult(mult(a, a), b)),
% 5.32/5.51 inference(unit_resolution,[status(thm)],[9364, 9])).
% 5.32/5.51 tff(9366,plain,
% 5.32/5.51 (mult(c, mult(mult(mult(a, a), b), a)) = mult(mult(c, a), mult(mult(a, a), b))),
% 5.32/5.51 inference(symmetry,[status(thm)],[9361])).
% 5.32/5.51 tff(9367,plain,
% 5.32/5.51 (mult(mult(mult(a, a), b), a) = mult(mult(a, mult(a, b)), a)),
% 5.32/5.51 inference(symmetry,[status(thm)],[7602])).
% 5.32/5.51 tff(9368,plain,
% 5.32/5.51 (mult(c, mult(mult(mult(a, a), b), a)) = mult(c, mult(mult(a, mult(a, b)), a))),
% 5.32/5.51 inference(monotonicity,[status(thm)],[9367])).
% 5.32/5.51 tff(9369,plain,
% 5.32/5.51 (mult(c, mult(mult(a, mult(a, b)), a)) = mult(c, mult(mult(mult(a, a), b), a))),
% 5.32/5.51 inference(symmetry,[status(thm)],[9368])).
% 5.32/5.51 tff(9370,plain,
% 5.32/5.51 ((~![B: $i, A: $i] : (rd(mult(A, B), B) = A)) | (rd(mult(mult(mult(mult(c, a), b), mult(a, a)), b), b) = mult(mult(mult(c, a), b), mult(a, a)))),
% 5.32/5.51 inference(quant_inst,[status(thm)],[])).
% 5.32/5.51 tff(9371,plain,
% 5.32/5.51 (rd(mult(mult(mult(mult(c, a), b), mult(a, a)), b), b) = mult(mult(mult(c, a), b), mult(a, a))),
% 5.32/5.51 inference(unit_resolution,[status(thm)],[9370, 72])).
% 5.32/5.51 tff(9372,plain,
% 5.32/5.51 (mult(mult(c, a), mult(mult(b, mult(a, a)), b)) = mult(mult(mult(mult(c, a), b), mult(a, a)), b)),
% 5.32/5.51 inference(symmetry,[status(thm)],[4440])).
% 5.32/5.51 tff(9373,plain,
% 5.32/5.51 (mult(mult(c, a), mult(mult(mult(b, a), a), b)) = mult(mult(c, a), mult(mult(b, mult(a, a)), b))),
% 5.32/5.51 inference(monotonicity,[status(thm)],[4603])).
% 5.32/5.51 tff(9374,plain,
% 5.32/5.51 ((mult(mult(mult(c, a), b), mult(b, mult(a, a))) = mult(mult(mult(mult(c, a), b), mult(a, a)), b)) <=> (mult(mult(mult(mult(c, a), b), mult(a, a)), b) = mult(mult(mult(c, a), b), mult(b, mult(a, a))))),
% 5.32/5.51 inference(commutativity,[status(thm)],[])).
% 5.32/5.51 tff(9375,plain,
% 5.32/5.51 (mult(mult(c, a), mult(mult(mult(b, a), a), b)) = mult(mult(mult(mult(c, a), b), mult(a, a)), b)),
% 5.32/5.51 inference(transitivity,[status(thm)],[9373, 9372])).
% 5.32/5.51 tff(9376,plain,
% 5.32/5.51 ((mult(mult(mult(c, a), b), mult(mult(b, a), a)) = mult(mult(c, a), mult(mult(mult(b, a), a), b))) <=> (mult(mult(mult(c, a), b), mult(b, mult(a, a))) = mult(mult(mult(mult(c, a), b), mult(a, a)), b))),
% 5.32/5.51 inference(monotonicity,[status(thm)],[9363, 9375])).
% 5.32/5.51 tff(9377,plain,
% 5.32/5.51 ((mult(mult(mult(c, a), b), mult(mult(b, a), a)) = mult(mult(c, a), mult(mult(mult(b, a), a), b))) <=> (mult(mult(mult(mult(c, a), b), mult(a, a)), b) = mult(mult(mult(c, a), b), mult(b, mult(a, a))))),
% 5.32/5.51 inference(transitivity,[status(thm)],[9376, 9374])).
% 5.32/5.51 tff(9378,plain,
% 5.32/5.51 ((mult(mult(mult(mult(c, a), b), mult(a, a)), b) = mult(mult(mult(c, a), b), mult(b, mult(a, a)))) <=> (mult(mult(mult(c, a), b), mult(mult(b, a), a)) = mult(mult(c, a), mult(mult(mult(b, a), a), b)))),
% 5.32/5.51 inference(symmetry,[status(thm)],[9377])).
% 5.32/5.51 tff(9379,plain,
% 5.32/5.51 ((~(mult(mult(mult(mult(c, a), b), mult(a, a)), b) = mult(mult(mult(c, a), b), mult(b, mult(a, a))))) <=> (~(mult(mult(mult(c, a), b), mult(mult(b, a), a)) = mult(mult(c, a), mult(mult(mult(b, a), a), b))))),
% 5.32/5.51 inference(monotonicity,[status(thm)],[9378])).
% 5.32/5.51 tff(9380,plain,
% 5.32/5.51 (~(mult(mult(mult(c, a), b), mult(mult(b, a), a)) = mult(mult(c, a), mult(mult(mult(b, a), a), b)))),
% 5.32/5.51 inference(modus_ponens,[status(thm)],[9360, 9379])).
% 5.32/5.51 tff(9381,plain,
% 5.32/5.51 (((~(mult(mult(mult(c, a), b), mult(mult(b, a), a)) = mult(mult(c, a), mult(mult(mult(b, a), a), b)))) | (~(mult(mult(mult(c, a), mult(mult(b, a), a)), b) = mult(mult(c, a), mult(b, mult(mult(b, a), a)))))) | (mult(mult(mult(c, a), b), mult(mult(b, a), a)) = mult(mult(c, a), mult(mult(mult(b, a), a), b)))),
% 5.32/5.51 inference(tautology,[status(thm)],[])).
% 5.32/5.51 tff(9382,plain,
% 5.32/5.51 ((~(mult(mult(mult(c, a), b), mult(mult(b, a), a)) = mult(mult(c, a), mult(mult(mult(b, a), a), b)))) | (~(mult(mult(mult(c, a), mult(mult(b, a), a)), b) = mult(mult(c, a), mult(b, mult(mult(b, a), a)))))),
% 5.32/5.51 inference(unit_resolution,[status(thm)],[9381, 9380])).
% 5.32/5.51 tff(9383,plain,
% 5.32/5.51 (((~![X0: $i, X1: $i, X2: $i] : ((~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X2, X1)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X1, X2)))))) | (~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X1, X2)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X2, X1)))))))) | ((~((~(mult(mult(mult(c, a), b), mult(mult(b, a), a)) = mult(mult(c, a), mult(b, mult(mult(b, a), a))))) | (~(mult(mult(mult(c, a), mult(mult(b, a), a)), b) = mult(mult(c, a), mult(mult(mult(b, a), a), b)))))) | (~((~(mult(mult(mult(c, a), b), mult(mult(b, a), a)) = mult(mult(c, a), mult(mult(mult(b, a), a), b)))) | (~(mult(mult(mult(c, a), mult(mult(b, a), a)), b) = mult(mult(c, a), mult(b, mult(mult(b, a), a))))))))) <=> ((~![X0: $i, X1: $i, X2: $i] : ((~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X2, X1)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X1, X2)))))) | (~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X1, X2)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X2, X1)))))))) | (~((~(mult(mult(mult(c, a), b), mult(mult(b, a), a)) = mult(mult(c, a), mult(b, mult(mult(b, a), a))))) | (~(mult(mult(mult(c, a), mult(mult(b, a), a)), b) = mult(mult(c, a), mult(mult(mult(b, a), a), b)))))) | (~((~(mult(mult(mult(c, a), b), mult(mult(b, a), a)) = mult(mult(c, a), mult(mult(mult(b, a), a), b)))) | (~(mult(mult(mult(c, a), mult(mult(b, a), a)), b) = mult(mult(c, a), mult(b, mult(mult(b, a), a))))))))),
% 5.32/5.51 inference(rewrite,[status(thm)],[])).
% 5.32/5.51 tff(9384,plain,
% 5.32/5.51 (((~((~(mult(mult(mult(c, a), b), mult(mult(b, a), a)) = mult(mult(c, a), mult(mult(mult(b, a), a), b)))) | (~(mult(mult(mult(c, a), mult(mult(b, a), a)), b) = mult(mult(c, a), mult(b, mult(mult(b, a), a))))))) | (~((~(mult(mult(mult(c, a), b), mult(mult(b, a), a)) = mult(mult(c, a), mult(b, mult(mult(b, a), a))))) | (~(mult(mult(mult(c, a), mult(mult(b, a), a)), b) = mult(mult(c, a), mult(mult(mult(b, a), a), b))))))) <=> ((~((~(mult(mult(mult(c, a), b), mult(mult(b, a), a)) = mult(mult(c, a), mult(b, mult(mult(b, a), a))))) | (~(mult(mult(mult(c, a), mult(mult(b, a), a)), b) = mult(mult(c, a), mult(mult(mult(b, a), a), b)))))) | (~((~(mult(mult(mult(c, a), b), mult(mult(b, a), a)) = mult(mult(c, a), mult(mult(mult(b, a), a), b)))) | (~(mult(mult(mult(c, a), mult(mult(b, a), a)), b) = mult(mult(c, a), mult(b, mult(mult(b, a), a))))))))),
% 5.32/5.51 inference(rewrite,[status(thm)],[])).
% 5.32/5.51 tff(9385,plain,
% 5.32/5.51 ((~((~(mult(mult(mult(c, a), mult(mult(b, a), a)), b) = mult(mult(c, a), mult(mult(mult(b, a), a), b)))) | (~(mult(mult(mult(c, a), b), mult(mult(b, a), a)) = mult(mult(c, a), mult(b, mult(mult(b, a), a))))))) <=> (~((~(mult(mult(mult(c, a), b), mult(mult(b, a), a)) = mult(mult(c, a), mult(b, mult(mult(b, a), a))))) | (~(mult(mult(mult(c, a), mult(mult(b, a), a)), b) = mult(mult(c, a), mult(mult(mult(b, a), a), b))))))),
% 5.32/5.51 inference(rewrite,[status(thm)],[])).
% 5.32/5.51 tff(9386,plain,
% 5.32/5.51 ((~((~(mult(mult(mult(c, a), mult(mult(b, a), a)), b) = mult(mult(c, a), mult(b, mult(mult(b, a), a))))) | (~(mult(mult(mult(c, a), b), mult(mult(b, a), a)) = mult(mult(c, a), mult(mult(mult(b, a), a), b)))))) <=> (~((~(mult(mult(mult(c, a), b), mult(mult(b, a), a)) = mult(mult(c, a), mult(mult(mult(b, a), a), b)))) | (~(mult(mult(mult(c, a), mult(mult(b, a), a)), b) = mult(mult(c, a), mult(b, mult(mult(b, a), a)))))))),
% 5.32/5.51 inference(rewrite,[status(thm)],[])).
% 5.32/5.51 tff(9387,plain,
% 5.32/5.51 (((~((~(mult(mult(mult(c, a), mult(mult(b, a), a)), b) = mult(mult(c, a), mult(b, mult(mult(b, a), a))))) | (~(mult(mult(mult(c, a), b), mult(mult(b, a), a)) = mult(mult(c, a), mult(mult(mult(b, a), a), b)))))) | (~((~(mult(mult(mult(c, a), mult(mult(b, a), a)), b) = mult(mult(c, a), mult(mult(mult(b, a), a), b)))) | (~(mult(mult(mult(c, a), b), mult(mult(b, a), a)) = mult(mult(c, a), mult(b, mult(mult(b, a), a)))))))) <=> ((~((~(mult(mult(mult(c, a), b), mult(mult(b, a), a)) = mult(mult(c, a), mult(mult(mult(b, a), a), b)))) | (~(mult(mult(mult(c, a), mult(mult(b, a), a)), b) = mult(mult(c, a), mult(b, mult(mult(b, a), a))))))) | (~((~(mult(mult(mult(c, a), b), mult(mult(b, a), a)) = mult(mult(c, a), mult(b, mult(mult(b, a), a))))) | (~(mult(mult(mult(c, a), mult(mult(b, a), a)), b) = mult(mult(c, a), mult(mult(mult(b, a), a), b)))))))),
% 5.32/5.51 inference(monotonicity,[status(thm)],[9386, 9385])).
% 5.32/5.51 tff(9388,plain,
% 5.32/5.51 (((~((~(mult(mult(mult(c, a), mult(mult(b, a), a)), b) = mult(mult(c, a), mult(b, mult(mult(b, a), a))))) | (~(mult(mult(mult(c, a), b), mult(mult(b, a), a)) = mult(mult(c, a), mult(mult(mult(b, a), a), b)))))) | (~((~(mult(mult(mult(c, a), mult(mult(b, a), a)), b) = mult(mult(c, a), mult(mult(mult(b, a), a), b)))) | (~(mult(mult(mult(c, a), b), mult(mult(b, a), a)) = mult(mult(c, a), mult(b, mult(mult(b, a), a)))))))) <=> ((~((~(mult(mult(mult(c, a), b), mult(mult(b, a), a)) = mult(mult(c, a), mult(b, mult(mult(b, a), a))))) | (~(mult(mult(mult(c, a), mult(mult(b, a), a)), b) = mult(mult(c, a), mult(mult(mult(b, a), a), b)))))) | (~((~(mult(mult(mult(c, a), b), mult(mult(b, a), a)) = mult(mult(c, a), mult(mult(mult(b, a), a), b)))) | (~(mult(mult(mult(c, a), mult(mult(b, a), a)), b) = mult(mult(c, a), mult(b, mult(mult(b, a), a))))))))),
% 5.32/5.51 inference(transitivity,[status(thm)],[9387, 9384])).
% 5.32/5.51 tff(9389,plain,
% 5.32/5.51 (((~![X0: $i, X1: $i, X2: $i] : ((~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X2, X1)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X1, X2)))))) | (~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X1, X2)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X2, X1)))))))) | ((~((~(mult(mult(mult(c, a), mult(mult(b, a), a)), b) = mult(mult(c, a), mult(b, mult(mult(b, a), a))))) | (~(mult(mult(mult(c, a), b), mult(mult(b, a), a)) = mult(mult(c, a), mult(mult(mult(b, a), a), b)))))) | (~((~(mult(mult(mult(c, a), mult(mult(b, a), a)), b) = mult(mult(c, a), mult(mult(mult(b, a), a), b)))) | (~(mult(mult(mult(c, a), b), mult(mult(b, a), a)) = mult(mult(c, a), mult(b, mult(mult(b, a), a))))))))) <=> ((~![X0: $i, X1: $i, X2: $i] : ((~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X2, X1)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X1, X2)))))) | (~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X1, X2)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X2, X1)))))))) | ((~((~(mult(mult(mult(c, a), b), mult(mult(b, a), a)) = mult(mult(c, a), mult(b, mult(mult(b, a), a))))) | (~(mult(mult(mult(c, a), mult(mult(b, a), a)), b) = mult(mult(c, a), mult(mult(mult(b, a), a), b)))))) | (~((~(mult(mult(mult(c, a), b), mult(mult(b, a), a)) = mult(mult(c, a), mult(mult(mult(b, a), a), b)))) | (~(mult(mult(mult(c, a), mult(mult(b, a), a)), b) = mult(mult(c, a), mult(b, mult(mult(b, a), a)))))))))),
% 5.32/5.51 inference(monotonicity,[status(thm)],[9388])).
% 5.32/5.51 tff(9390,plain,
% 5.32/5.51 (((~![X0: $i, X1: $i, X2: $i] : ((~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X2, X1)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X1, X2)))))) | (~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X1, X2)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X2, X1)))))))) | ((~((~(mult(mult(mult(c, a), mult(mult(b, a), a)), b) = mult(mult(c, a), mult(b, mult(mult(b, a), a))))) | (~(mult(mult(mult(c, a), b), mult(mult(b, a), a)) = mult(mult(c, a), mult(mult(mult(b, a), a), b)))))) | (~((~(mult(mult(mult(c, a), mult(mult(b, a), a)), b) = mult(mult(c, a), mult(mult(mult(b, a), a), b)))) | (~(mult(mult(mult(c, a), b), mult(mult(b, a), a)) = mult(mult(c, a), mult(b, mult(mult(b, a), a))))))))) <=> ((~![X0: $i, X1: $i, X2: $i] : ((~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X2, X1)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X1, X2)))))) | (~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X1, X2)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X2, X1)))))))) | (~((~(mult(mult(mult(c, a), b), mult(mult(b, a), a)) = mult(mult(c, a), mult(b, mult(mult(b, a), a))))) | (~(mult(mult(mult(c, a), mult(mult(b, a), a)), b) = mult(mult(c, a), mult(mult(mult(b, a), a), b)))))) | (~((~(mult(mult(mult(c, a), b), mult(mult(b, a), a)) = mult(mult(c, a), mult(mult(mult(b, a), a), b)))) | (~(mult(mult(mult(c, a), mult(mult(b, a), a)), b) = mult(mult(c, a), mult(b, mult(mult(b, a), a))))))))),
% 5.32/5.51 inference(transitivity,[status(thm)],[9389, 9383])).
% 5.32/5.51 tff(9391,plain,
% 5.32/5.51 ((~![X0: $i, X1: $i, X2: $i] : ((~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X2, X1)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X1, X2)))))) | (~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X1, X2)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X2, X1)))))))) | ((~((~(mult(mult(mult(c, a), mult(mult(b, a), a)), b) = mult(mult(c, a), mult(b, mult(mult(b, a), a))))) | (~(mult(mult(mult(c, a), b), mult(mult(b, a), a)) = mult(mult(c, a), mult(mult(mult(b, a), a), b)))))) | (~((~(mult(mult(mult(c, a), mult(mult(b, a), a)), b) = mult(mult(c, a), mult(mult(mult(b, a), a), b)))) | (~(mult(mult(mult(c, a), b), mult(mult(b, a), a)) = mult(mult(c, a), mult(b, mult(mult(b, a), a))))))))),
% 5.32/5.51 inference(quant_inst,[status(thm)],[])).
% 5.32/5.51 tff(9392,plain,
% 5.32/5.51 ((~![X0: $i, X1: $i, X2: $i] : ((~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X2, X1)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X1, X2)))))) | (~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X1, X2)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X2, X1)))))))) | (~((~(mult(mult(mult(c, a), b), mult(mult(b, a), a)) = mult(mult(c, a), mult(b, mult(mult(b, a), a))))) | (~(mult(mult(mult(c, a), mult(mult(b, a), a)), b) = mult(mult(c, a), mult(mult(mult(b, a), a), b)))))) | (~((~(mult(mult(mult(c, a), b), mult(mult(b, a), a)) = mult(mult(c, a), mult(mult(mult(b, a), a), b)))) | (~(mult(mult(mult(c, a), mult(mult(b, a), a)), b) = mult(mult(c, a), mult(b, mult(mult(b, a), a)))))))),
% 5.32/5.51 inference(modus_ponens,[status(thm)],[9391, 9390])).
% 5.32/5.51 tff(9393,plain,
% 5.32/5.51 ((~((~(mult(mult(mult(c, a), b), mult(mult(b, a), a)) = mult(mult(c, a), mult(b, mult(mult(b, a), a))))) | (~(mult(mult(mult(c, a), mult(mult(b, a), a)), b) = mult(mult(c, a), mult(mult(mult(b, a), a), b)))))) | (~((~(mult(mult(mult(c, a), b), mult(mult(b, a), a)) = mult(mult(c, a), mult(mult(mult(b, a), a), b)))) | (~(mult(mult(mult(c, a), mult(mult(b, a), a)), b) = mult(mult(c, a), mult(b, mult(mult(b, a), a)))))))),
% 5.32/5.52 inference(unit_resolution,[status(thm)],[9392, 30])).
% 5.32/5.52 tff(9394,plain,
% 5.32/5.52 (~((~(mult(mult(mult(c, a), b), mult(mult(b, a), a)) = mult(mult(c, a), mult(b, mult(mult(b, a), a))))) | (~(mult(mult(mult(c, a), mult(mult(b, a), a)), b) = mult(mult(c, a), mult(mult(mult(b, a), a), b)))))),
% 5.32/5.52 inference(unit_resolution,[status(thm)],[9393, 9382])).
% 5.32/5.52 tff(9395,plain,
% 5.32/5.52 (((~(mult(mult(mult(c, a), b), mult(mult(b, a), a)) = mult(mult(c, a), mult(b, mult(mult(b, a), a))))) | (~(mult(mult(mult(c, a), mult(mult(b, a), a)), b) = mult(mult(c, a), mult(mult(mult(b, a), a), b))))) | (mult(mult(mult(c, a), mult(mult(b, a), a)), b) = mult(mult(c, a), mult(mult(mult(b, a), a), b)))),
% 5.32/5.52 inference(tautology,[status(thm)],[])).
% 5.32/5.52 tff(9396,plain,
% 5.32/5.52 (mult(mult(mult(c, a), mult(mult(b, a), a)), b) = mult(mult(c, a), mult(mult(mult(b, a), a), b))),
% 5.32/5.52 inference(unit_resolution,[status(thm)],[9395, 9394])).
% 5.32/5.52 tff(9397,plain,
% 5.32/5.52 (mult(mult(mult(c, a), mult(mult(b, a), a)), b) = mult(mult(mult(mult(c, a), b), mult(a, a)), b)),
% 5.32/5.52 inference(transitivity,[status(thm)],[9396, 9373, 9372])).
% 5.32/5.52 tff(9398,plain,
% 5.32/5.52 (rd(mult(mult(mult(c, a), mult(mult(b, a), a)), b), b) = rd(mult(mult(mult(mult(c, a), b), mult(a, a)), b), b)),
% 5.32/5.52 inference(monotonicity,[status(thm)],[9397])).
% 5.32/5.52 tff(9399,plain,
% 5.32/5.52 ((~![B: $i, A: $i] : (rd(mult(A, B), B) = A)) | (rd(mult(mult(mult(c, a), mult(mult(b, a), a)), b), b) = mult(mult(c, a), mult(mult(b, a), a)))),
% 5.32/5.52 inference(quant_inst,[status(thm)],[])).
% 5.32/5.52 tff(9400,plain,
% 5.32/5.52 (rd(mult(mult(mult(c, a), mult(mult(b, a), a)), b), b) = mult(mult(c, a), mult(mult(b, a), a))),
% 5.32/5.52 inference(unit_resolution,[status(thm)],[9399, 72])).
% 5.32/5.52 tff(9401,plain,
% 5.32/5.52 (mult(mult(c, a), mult(mult(b, a), a)) = rd(mult(mult(mult(c, a), mult(mult(b, a), a)), b), b)),
% 5.32/5.52 inference(symmetry,[status(thm)],[9400])).
% 5.32/5.52 tff(9402,plain,
% 5.32/5.52 (mult(mult(c, a), mult(mult(b, a), a)) = mult(mult(c, a), mult(mult(a, a), b))),
% 5.32/5.52 inference(transitivity,[status(thm)],[9401, 9398, 9371, 4455, 4441, 9321, 7605, 9369, 9366])).
% 5.32/5.52 tff(9403,plain,
% 5.32/5.52 (ld(mult(c, a), mult(mult(c, a), mult(mult(b, a), a))) = ld(mult(c, a), mult(mult(c, a), mult(mult(a, a), b)))),
% 5.32/5.52 inference(monotonicity,[status(thm)],[9402])).
% 5.32/5.52 tff(9404,plain,
% 5.32/5.52 (mult(mult(b, a), a) = mult(mult(a, a), b)),
% 5.32/5.52 inference(transitivity,[status(thm)],[9341, 9403, 9365])).
% 5.32/5.52 tff(9405,plain,
% 5.32/5.52 (mult(mult(mult(c, a), b), mult(mult(b, a), a)) = mult(mult(mult(c, a), b), mult(mult(a, a), b))),
% 5.32/5.52 inference(monotonicity,[status(thm)],[9404])).
% 5.32/5.52 tff(9406,plain,
% 5.32/5.52 (mult(mult(mult(c, a), b), mult(mult(a, a), b)) = mult(mult(mult(c, a), b), mult(mult(b, a), a))),
% 5.32/5.52 inference(symmetry,[status(thm)],[9405])).
% 5.32/5.52 tff(9407,assumption,(mult(mult(mult(mult(c, a), b), mult(a, a)), b) = mult(mult(mult(c, a), b), mult(mult(a, a), b))), introduced(assumption)).
% 5.32/5.52 tff(9408,plain,
% 5.32/5.52 (mult(mult(mult(mult(c, a), b), mult(a, a)), b) = mult(mult(mult(c, a), b), mult(b, mult(a, a)))),
% 5.32/5.52 inference(transitivity,[status(thm)],[9407, 9406, 9363])).
% 5.32/5.52 tff(9409,plain,
% 5.32/5.52 ($false),
% 5.32/5.52 inference(unit_resolution,[status(thm)],[9360, 9408])).
% 5.32/5.52 tff(9410,plain,((~(mult(mult(c, a), mult(mult(a, a), b)) = mult(c, mult(mult(mult(a, a), b), a)))) | (mult(mult(mult(mult(c, a), b), mult(a, a)), b) = mult(mult(mult(c, a), b), mult(b, mult(a, a)))) | (~(mult(mult(mult(mult(c, a), b), mult(a, a)), b) = mult(mult(mult(c, a), b), mult(mult(a, a), b)))) | (~(mult(mult(c, a), mult(a, b)) = mult(c, mult(mult(a, b), a)))) | (~(mult(mult(a, a), b) = mult(a, mult(a, b))))), inference(lemma,lemma(discharge,[]))).
% 5.32/5.52 tff(9411,plain,
% 5.32/5.52 ((~(mult(mult(c, a), mult(mult(a, a), b)) = mult(c, mult(mult(mult(a, a), b), a)))) | (mult(mult(mult(mult(c, a), b), mult(a, a)), b) = mult(mult(mult(c, a), b), mult(b, mult(a, a)))) | (~(mult(mult(mult(mult(c, a), b), mult(a, a)), b) = mult(mult(mult(c, a), b), mult(mult(a, a), b)))) | (~(mult(mult(c, a), mult(a, b)) = mult(c, mult(mult(a, b), a))))),
% 5.32/5.52 inference(unit_resolution,[status(thm)],[9410, 4190])).
% 5.32/5.52 tff(9412,plain,
% 5.32/5.52 (~(mult(mult(mult(mult(c, a), b), mult(a, a)), b) = mult(mult(mult(c, a), b), mult(mult(a, a), b)))),
% 5.32/5.52 inference(unit_resolution,[status(thm)],[9411, 9360, 9263, 9361])).
% 5.32/5.52 tff(9413,plain,
% 5.32/5.52 (((~(mult(mult(mult(mult(c, a), b), b), mult(a, a)) = mult(mult(mult(c, a), b), mult(mult(a, a), b)))) | (~(mult(mult(mult(mult(c, a), b), mult(a, a)), b) = mult(mult(mult(c, a), b), mult(b, mult(a, a)))))) | (mult(mult(mult(mult(c, a), b), mult(a, a)), b) = mult(mult(mult(c, a), b), mult(b, mult(a, a))))),
% 5.32/5.52 inference(tautology,[status(thm)],[])).
% 5.32/5.52 tff(9414,plain,
% 5.32/5.52 ((~(mult(mult(mult(mult(c, a), b), b), mult(a, a)) = mult(mult(mult(c, a), b), mult(mult(a, a), b)))) | (~(mult(mult(mult(mult(c, a), b), mult(a, a)), b) = mult(mult(mult(c, a), b), mult(b, mult(a, a)))))),
% 5.32/5.52 inference(unit_resolution,[status(thm)],[9413, 9360])).
% 5.32/5.52 tff(9415,plain,
% 5.32/5.52 (((~![X0: $i, X1: $i, X2: $i] : ((~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X2, X1)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X1, X2)))))) | (~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X1, X2)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X2, X1)))))))) | ((~((~(mult(mult(mult(mult(c, a), b), b), mult(a, a)) = mult(mult(mult(c, a), b), mult(mult(a, a), b)))) | (~(mult(mult(mult(mult(c, a), b), mult(a, a)), b) = mult(mult(mult(c, a), b), mult(b, mult(a, a))))))) | (~((~(mult(mult(mult(mult(c, a), b), b), mult(a, a)) = mult(mult(mult(c, a), b), mult(b, mult(a, a))))) | (~(mult(mult(mult(mult(c, a), b), mult(a, a)), b) = mult(mult(mult(c, a), b), mult(mult(a, a), b)))))))) <=> ((~![X0: $i, X1: $i, X2: $i] : ((~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X2, X1)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X1, X2)))))) | (~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X1, X2)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X2, X1)))))))) | (~((~(mult(mult(mult(mult(c, a), b), b), mult(a, a)) = mult(mult(mult(c, a), b), mult(mult(a, a), b)))) | (~(mult(mult(mult(mult(c, a), b), mult(a, a)), b) = mult(mult(mult(c, a), b), mult(b, mult(a, a))))))) | (~((~(mult(mult(mult(mult(c, a), b), b), mult(a, a)) = mult(mult(mult(c, a), b), mult(b, mult(a, a))))) | (~(mult(mult(mult(mult(c, a), b), mult(a, a)), b) = mult(mult(mult(c, a), b), mult(mult(a, a), b)))))))),
% 5.32/5.52 inference(rewrite,[status(thm)],[])).
% 5.32/5.52 tff(9416,plain,
% 5.32/5.52 (((~((~(mult(mult(mult(mult(c, a), b), b), mult(a, a)) = mult(mult(mult(c, a), b), mult(mult(a, a), b)))) | (~(mult(mult(mult(mult(c, a), b), mult(a, a)), b) = mult(mult(mult(c, a), b), mult(b, mult(a, a))))))) | (~((~(mult(mult(mult(mult(c, a), b), b), mult(a, a)) = mult(mult(mult(c, a), b), mult(b, mult(a, a))))) | (~(mult(mult(mult(mult(c, a), b), mult(a, a)), b) = mult(mult(mult(c, a), b), mult(mult(a, a), b))))))) <=> ((~((~(mult(mult(mult(mult(c, a), b), b), mult(a, a)) = mult(mult(mult(c, a), b), mult(mult(a, a), b)))) | (~(mult(mult(mult(mult(c, a), b), mult(a, a)), b) = mult(mult(mult(c, a), b), mult(b, mult(a, a))))))) | (~((~(mult(mult(mult(mult(c, a), b), b), mult(a, a)) = mult(mult(mult(c, a), b), mult(b, mult(a, a))))) | (~(mult(mult(mult(mult(c, a), b), mult(a, a)), b) = mult(mult(mult(c, a), b), mult(mult(a, a), b)))))))),
% 5.32/5.52 inference(rewrite,[status(thm)],[])).
% 5.32/5.52 tff(9417,plain,
% 5.32/5.52 ((~((~(mult(mult(mult(mult(c, a), b), mult(a, a)), b) = mult(mult(mult(c, a), b), mult(mult(a, a), b)))) | (~(mult(mult(mult(mult(c, a), b), b), mult(a, a)) = mult(mult(mult(c, a), b), mult(b, mult(a, a))))))) <=> (~((~(mult(mult(mult(mult(c, a), b), b), mult(a, a)) = mult(mult(mult(c, a), b), mult(b, mult(a, a))))) | (~(mult(mult(mult(mult(c, a), b), mult(a, a)), b) = mult(mult(mult(c, a), b), mult(mult(a, a), b))))))),
% 5.32/5.52 inference(rewrite,[status(thm)],[])).
% 5.32/5.52 tff(9418,plain,
% 5.32/5.52 ((~((~(mult(mult(mult(mult(c, a), b), mult(a, a)), b) = mult(mult(mult(c, a), b), mult(b, mult(a, a))))) | (~(mult(mult(mult(mult(c, a), b), b), mult(a, a)) = mult(mult(mult(c, a), b), mult(mult(a, a), b)))))) <=> (~((~(mult(mult(mult(mult(c, a), b), b), mult(a, a)) = mult(mult(mult(c, a), b), mult(mult(a, a), b)))) | (~(mult(mult(mult(mult(c, a), b), mult(a, a)), b) = mult(mult(mult(c, a), b), mult(b, mult(a, a)))))))),
% 5.32/5.52 inference(rewrite,[status(thm)],[])).
% 5.32/5.52 tff(9419,plain,
% 5.32/5.52 (((~((~(mult(mult(mult(mult(c, a), b), mult(a, a)), b) = mult(mult(mult(c, a), b), mult(b, mult(a, a))))) | (~(mult(mult(mult(mult(c, a), b), b), mult(a, a)) = mult(mult(mult(c, a), b), mult(mult(a, a), b)))))) | (~((~(mult(mult(mult(mult(c, a), b), mult(a, a)), b) = mult(mult(mult(c, a), b), mult(mult(a, a), b)))) | (~(mult(mult(mult(mult(c, a), b), b), mult(a, a)) = mult(mult(mult(c, a), b), mult(b, mult(a, a)))))))) <=> ((~((~(mult(mult(mult(mult(c, a), b), b), mult(a, a)) = mult(mult(mult(c, a), b), mult(mult(a, a), b)))) | (~(mult(mult(mult(mult(c, a), b), mult(a, a)), b) = mult(mult(mult(c, a), b), mult(b, mult(a, a))))))) | (~((~(mult(mult(mult(mult(c, a), b), b), mult(a, a)) = mult(mult(mult(c, a), b), mult(b, mult(a, a))))) | (~(mult(mult(mult(mult(c, a), b), mult(a, a)), b) = mult(mult(mult(c, a), b), mult(mult(a, a), b)))))))),
% 5.32/5.52 inference(monotonicity,[status(thm)],[9418, 9417])).
% 5.32/5.52 tff(9420,plain,
% 5.32/5.52 (((~((~(mult(mult(mult(mult(c, a), b), mult(a, a)), b) = mult(mult(mult(c, a), b), mult(b, mult(a, a))))) | (~(mult(mult(mult(mult(c, a), b), b), mult(a, a)) = mult(mult(mult(c, a), b), mult(mult(a, a), b)))))) | (~((~(mult(mult(mult(mult(c, a), b), mult(a, a)), b) = mult(mult(mult(c, a), b), mult(mult(a, a), b)))) | (~(mult(mult(mult(mult(c, a), b), b), mult(a, a)) = mult(mult(mult(c, a), b), mult(b, mult(a, a)))))))) <=> ((~((~(mult(mult(mult(mult(c, a), b), b), mult(a, a)) = mult(mult(mult(c, a), b), mult(mult(a, a), b)))) | (~(mult(mult(mult(mult(c, a), b), mult(a, a)), b) = mult(mult(mult(c, a), b), mult(b, mult(a, a))))))) | (~((~(mult(mult(mult(mult(c, a), b), b), mult(a, a)) = mult(mult(mult(c, a), b), mult(b, mult(a, a))))) | (~(mult(mult(mult(mult(c, a), b), mult(a, a)), b) = mult(mult(mult(c, a), b), mult(mult(a, a), b)))))))),
% 5.32/5.52 inference(transitivity,[status(thm)],[9419, 9416])).
% 5.32/5.52 tff(9421,plain,
% 5.32/5.52 (((~![X0: $i, X1: $i, X2: $i] : ((~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X2, X1)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X1, X2)))))) | (~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X1, X2)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X2, X1)))))))) | ((~((~(mult(mult(mult(mult(c, a), b), mult(a, a)), b) = mult(mult(mult(c, a), b), mult(b, mult(a, a))))) | (~(mult(mult(mult(mult(c, a), b), b), mult(a, a)) = mult(mult(mult(c, a), b), mult(mult(a, a), b)))))) | (~((~(mult(mult(mult(mult(c, a), b), mult(a, a)), b) = mult(mult(mult(c, a), b), mult(mult(a, a), b)))) | (~(mult(mult(mult(mult(c, a), b), b), mult(a, a)) = mult(mult(mult(c, a), b), mult(b, mult(a, a))))))))) <=> ((~![X0: $i, X1: $i, X2: $i] : ((~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X2, X1)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X1, X2)))))) | (~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X1, X2)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X2, X1)))))))) | ((~((~(mult(mult(mult(mult(c, a), b), b), mult(a, a)) = mult(mult(mult(c, a), b), mult(mult(a, a), b)))) | (~(mult(mult(mult(mult(c, a), b), mult(a, a)), b) = mult(mult(mult(c, a), b), mult(b, mult(a, a))))))) | (~((~(mult(mult(mult(mult(c, a), b), b), mult(a, a)) = mult(mult(mult(c, a), b), mult(b, mult(a, a))))) | (~(mult(mult(mult(mult(c, a), b), mult(a, a)), b) = mult(mult(mult(c, a), b), mult(mult(a, a), b))))))))),
% 5.32/5.52 inference(monotonicity,[status(thm)],[9420])).
% 5.32/5.52 tff(9422,plain,
% 5.32/5.52 (((~![X0: $i, X1: $i, X2: $i] : ((~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X2, X1)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X1, X2)))))) | (~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X1, X2)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X2, X1)))))))) | ((~((~(mult(mult(mult(mult(c, a), b), mult(a, a)), b) = mult(mult(mult(c, a), b), mult(b, mult(a, a))))) | (~(mult(mult(mult(mult(c, a), b), b), mult(a, a)) = mult(mult(mult(c, a), b), mult(mult(a, a), b)))))) | (~((~(mult(mult(mult(mult(c, a), b), mult(a, a)), b) = mult(mult(mult(c, a), b), mult(mult(a, a), b)))) | (~(mult(mult(mult(mult(c, a), b), b), mult(a, a)) = mult(mult(mult(c, a), b), mult(b, mult(a, a))))))))) <=> ((~![X0: $i, X1: $i, X2: $i] : ((~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X2, X1)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X1, X2)))))) | (~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X1, X2)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X2, X1)))))))) | (~((~(mult(mult(mult(mult(c, a), b), b), mult(a, a)) = mult(mult(mult(c, a), b), mult(mult(a, a), b)))) | (~(mult(mult(mult(mult(c, a), b), mult(a, a)), b) = mult(mult(mult(c, a), b), mult(b, mult(a, a))))))) | (~((~(mult(mult(mult(mult(c, a), b), b), mult(a, a)) = mult(mult(mult(c, a), b), mult(b, mult(a, a))))) | (~(mult(mult(mult(mult(c, a), b), mult(a, a)), b) = mult(mult(mult(c, a), b), mult(mult(a, a), b)))))))),
% 5.32/5.53 inference(transitivity,[status(thm)],[9421, 9415])).
% 5.32/5.53 tff(9423,plain,
% 5.32/5.53 ((~![X0: $i, X1: $i, X2: $i] : ((~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X2, X1)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X1, X2)))))) | (~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X1, X2)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X2, X1)))))))) | ((~((~(mult(mult(mult(mult(c, a), b), mult(a, a)), b) = mult(mult(mult(c, a), b), mult(b, mult(a, a))))) | (~(mult(mult(mult(mult(c, a), b), b), mult(a, a)) = mult(mult(mult(c, a), b), mult(mult(a, a), b)))))) | (~((~(mult(mult(mult(mult(c, a), b), mult(a, a)), b) = mult(mult(mult(c, a), b), mult(mult(a, a), b)))) | (~(mult(mult(mult(mult(c, a), b), b), mult(a, a)) = mult(mult(mult(c, a), b), mult(b, mult(a, a))))))))),
% 5.32/5.53 inference(quant_inst,[status(thm)],[])).
% 5.32/5.53 tff(9424,plain,
% 5.32/5.53 ((~![X0: $i, X1: $i, X2: $i] : ((~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X2, X1)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X1, X2)))))) | (~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X1, X2)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X2, X1)))))))) | (~((~(mult(mult(mult(mult(c, a), b), b), mult(a, a)) = mult(mult(mult(c, a), b), mult(mult(a, a), b)))) | (~(mult(mult(mult(mult(c, a), b), mult(a, a)), b) = mult(mult(mult(c, a), b), mult(b, mult(a, a))))))) | (~((~(mult(mult(mult(mult(c, a), b), b), mult(a, a)) = mult(mult(mult(c, a), b), mult(b, mult(a, a))))) | (~(mult(mult(mult(mult(c, a), b), mult(a, a)), b) = mult(mult(mult(c, a), b), mult(mult(a, a), b))))))),
% 5.32/5.53 inference(modus_ponens,[status(thm)],[9423, 9422])).
% 5.32/5.53 tff(9425,plain,
% 5.32/5.53 ((~((~(mult(mult(mult(mult(c, a), b), b), mult(a, a)) = mult(mult(mult(c, a), b), mult(mult(a, a), b)))) | (~(mult(mult(mult(mult(c, a), b), mult(a, a)), b) = mult(mult(mult(c, a), b), mult(b, mult(a, a))))))) | (~((~(mult(mult(mult(mult(c, a), b), b), mult(a, a)) = mult(mult(mult(c, a), b), mult(b, mult(a, a))))) | (~(mult(mult(mult(mult(c, a), b), mult(a, a)), b) = mult(mult(mult(c, a), b), mult(mult(a, a), b))))))),
% 5.32/5.53 inference(unit_resolution,[status(thm)],[9424, 30])).
% 5.32/5.53 tff(9426,plain,
% 5.32/5.53 (~((~(mult(mult(mult(mult(c, a), b), b), mult(a, a)) = mult(mult(mult(c, a), b), mult(b, mult(a, a))))) | (~(mult(mult(mult(mult(c, a), b), mult(a, a)), b) = mult(mult(mult(c, a), b), mult(mult(a, a), b)))))),
% 5.32/5.53 inference(unit_resolution,[status(thm)],[9425, 9414])).
% 5.32/5.53 tff(9427,plain,
% 5.32/5.53 (((~(mult(mult(mult(mult(c, a), b), b), mult(a, a)) = mult(mult(mult(c, a), b), mult(b, mult(a, a))))) | (~(mult(mult(mult(mult(c, a), b), mult(a, a)), b) = mult(mult(mult(c, a), b), mult(mult(a, a), b))))) | (mult(mult(mult(mult(c, a), b), mult(a, a)), b) = mult(mult(mult(c, a), b), mult(mult(a, a), b)))),
% 5.32/5.53 inference(tautology,[status(thm)],[])).
% 5.32/5.53 tff(9428,plain,
% 5.32/5.53 ($false),
% 5.32/5.53 inference(unit_resolution,[status(thm)],[9427, 9426, 9412])).
% 5.32/5.53 tff(9429,plain,((mult(mult(mult(mult(c, a), b), mult(a, a)), b) = mult(mult(mult(c, a), b), mult(b, mult(a, a)))) | (~(mult(mult(c, a), mult(a, b)) = mult(c, mult(mult(a, b), a)))) | (~(mult(mult(c, a), mult(mult(a, a), b)) = mult(c, mult(mult(mult(a, a), b), a))))), inference(lemma,lemma(discharge,[]))).
% 5.32/5.53 tff(9430,plain,
% 5.32/5.53 (~(mult(mult(c, a), mult(mult(a, a), b)) = mult(c, mult(mult(mult(a, a), b), a)))),
% 5.32/5.53 inference(unit_resolution,[status(thm)],[9429, 9360, 9263])).
% 5.32/5.53 tff(9431,plain,
% 5.32/5.53 (~(mult(mult(mult(c, a), b), mult(a, a)) = mult(mult(c, a), mult(mult(a, a), b)))),
% 5.32/5.53 inference(modus_ponens,[status(thm)],[9430, 9359])).
% 5.32/5.53 tff(9432,plain,
% 5.32/5.53 ((~(mult(mult(mult(c, a), b), mult(a, a)) = mult(mult(c, a), mult(mult(a, a), b)))) | (~(mult(mult(mult(c, a), mult(a, a)), b) = mult(mult(c, a), mult(b, mult(a, a)))))),
% 5.32/5.53 inference(unit_resolution,[status(thm)],[9323, 9431])).
% 5.32/5.53 tff(9433,plain,
% 5.32/5.53 (~((~(mult(mult(mult(c, a), mult(a, a)), b) = mult(mult(c, a), mult(mult(a, a), b)))) | (~(mult(mult(mult(c, a), b), mult(a, a)) = mult(mult(c, a), mult(b, mult(a, a))))))),
% 5.32/5.53 inference(unit_resolution,[status(thm)],[9331, 9432])).
% 5.32/5.53 tff(9434,plain,
% 5.32/5.53 (mult(mult(mult(c, a), b), mult(a, a)) = mult(mult(c, a), mult(b, mult(a, a)))),
% 5.32/5.53 inference(unit_resolution,[status(thm)],[9333, 9433])).
% 5.32/5.53 tff(9435,plain,
% 5.32/5.53 ((mult(mult(mult(c, a), b), mult(a, a)) = mult(mult(c, a), mult(mult(a, a), b))) <=> (mult(mult(mult(c, a), mult(a, b)), a) = mult(mult(c, a), mult(a, mult(a, b))))),
% 5.32/5.53 inference(symmetry,[status(thm)],[9306])).
% 5.32/5.53 tff(9436,plain,
% 5.32/5.53 ((mult(mult(c, a), mult(mult(a, a), b)) = mult(c, mult(mult(mult(a, a), b), a))) <=> (mult(mult(mult(c, a), mult(a, b)), a) = mult(mult(c, a), mult(a, mult(a, b))))),
% 5.32/5.53 inference(transitivity,[status(thm)],[9358, 9435])).
% 5.32/5.53 tff(9437,plain,
% 5.32/5.53 ((~(mult(mult(c, a), mult(mult(a, a), b)) = mult(c, mult(mult(mult(a, a), b), a)))) <=> (~(mult(mult(mult(c, a), mult(a, b)), a) = mult(mult(c, a), mult(a, mult(a, b)))))),
% 5.32/5.53 inference(monotonicity,[status(thm)],[9436])).
% 5.32/5.53 tff(9438,plain,
% 5.32/5.53 (~(mult(mult(mult(c, a), mult(a, b)), a) = mult(mult(c, a), mult(a, mult(a, b))))),
% 5.32/5.53 inference(modus_ponens,[status(thm)],[9430, 9437])).
% 5.32/5.53 tff(9439,plain,
% 5.32/5.53 ((~(mult(mult(mult(c, a), a), mult(a, b)) = mult(mult(c, a), mult(mult(a, b), a)))) | (~(mult(mult(mult(c, a), mult(a, b)), a) = mult(mult(c, a), mult(a, mult(a, b)))))),
% 5.32/5.53 inference(unit_resolution,[status(thm)],[9312, 9438])).
% 5.32/5.53 tff(9440,plain,
% 5.32/5.53 (~((~(mult(mult(mult(c, a), a), mult(a, b)) = mult(mult(c, a), mult(a, mult(a, b))))) | (~(mult(mult(mult(c, a), mult(a, b)), a) = mult(mult(c, a), mult(mult(a, b), a)))))),
% 5.32/5.53 inference(unit_resolution,[status(thm)],[9317, 9439])).
% 5.32/5.53 tff(9441,plain,
% 5.32/5.53 (mult(mult(mult(c, a), mult(a, b)), a) = mult(mult(c, a), mult(mult(a, b), a))),
% 5.32/5.53 inference(unit_resolution,[status(thm)],[9319, 9440])).
% 5.32/5.53 tff(9442,plain,
% 5.32/5.53 (mult(mult(c, a), mult(mult(a, b), a)) = mult(mult(mult(c, a), mult(a, b)), a)),
% 5.32/5.53 inference(symmetry,[status(thm)],[9441])).
% 5.32/5.53 tff(9443,plain,
% 5.32/5.53 (mult(mult(c, a), mult(mult(a, b), a)) = mult(mult(c, a), mult(mult(b, a), a))),
% 5.32/5.53 inference(transitivity,[status(thm)],[9442, 9304, 9303, 4454, 9434, 9352])).
% 5.32/5.53 tff(9444,plain,
% 5.32/5.53 (ld(mult(c, a), mult(mult(c, a), mult(mult(a, b), a))) = ld(mult(c, a), mult(mult(c, a), mult(mult(b, a), a)))),
% 5.32/5.53 inference(monotonicity,[status(thm)],[9443])).
% 5.32/5.53 tff(9445,plain,
% 5.32/5.53 (mult(mult(a, b), a) = ld(mult(c, a), mult(mult(c, a), mult(mult(a, b), a)))),
% 5.32/5.53 inference(symmetry,[status(thm)],[9300])).
% 5.32/5.53 tff(9446,plain,
% 5.32/5.53 (mult(mult(a, b), a) = mult(mult(b, a), a)),
% 5.32/5.53 inference(transitivity,[status(thm)],[9445, 9444, 9340])).
% 5.32/5.53 tff(9447,plain,
% 5.32/5.53 (rd(mult(mult(a, b), a), a) = rd(mult(mult(b, a), a), a)),
% 5.32/5.53 inference(monotonicity,[status(thm)],[9446])).
% 5.32/5.53 tff(9448,plain,
% 5.32/5.53 ((~![B: $i, A: $i] : (rd(mult(A, B), B) = A)) | (rd(mult(mult(a, b), a), a) = mult(a, b))),
% 5.32/5.53 inference(quant_inst,[status(thm)],[])).
% 5.32/5.53 tff(9449,plain,
% 5.32/5.53 (rd(mult(mult(a, b), a), a) = mult(a, b)),
% 5.32/5.53 inference(unit_resolution,[status(thm)],[9448, 72])).
% 5.32/5.53 tff(9450,plain,
% 5.32/5.53 (mult(a, b) = rd(mult(mult(a, b), a), a)),
% 5.32/5.53 inference(symmetry,[status(thm)],[9449])).
% 5.32/5.53 tff(9451,plain,
% 5.32/5.53 (mult(a, b) = mult(b, a)),
% 5.32/5.53 inference(transitivity,[status(thm)],[9450, 9447, 9351])).
% 5.32/5.53 tff(9452,plain,
% 5.32/5.53 ($false),
% 5.32/5.53 inference(unit_resolution,[status(thm)],[1, 9451])).
% 5.32/5.53 tff(9453,plain,((mult(mult(mult(mult(c, a), b), mult(a, a)), b) = mult(mult(mult(c, a), b), mult(b, mult(a, a)))) | (mult(a, b) = mult(b, a)) | (~(mult(mult(c, a), mult(a, b)) = mult(c, mult(mult(a, b), a))))), inference(lemma,lemma(discharge,[]))).
% 5.32/5.53 tff(9454,plain,
% 5.32/5.53 (mult(mult(mult(mult(c, a), b), mult(a, a)), b) = mult(mult(mult(c, a), b), mult(b, mult(a, a)))),
% 5.32/5.53 inference(unit_resolution,[status(thm)],[9453, 9240, 1])).
% 5.32/5.53 tff(9455,assumption,(~(mult(mult(mult(mult(c, a), b), b), mult(a, a)) = mult(mult(mult(c, a), b), mult(mult(a, a), b)))), introduced(assumption)).
% 5.32/5.53 tff(9456,plain,
% 5.32/5.53 (((~(mult(mult(mult(mult(c, a), b), b), mult(a, a)) = mult(mult(mult(c, a), b), mult(mult(a, a), b)))) | (~(mult(mult(mult(mult(c, a), b), mult(a, a)), b) = mult(mult(mult(c, a), b), mult(b, mult(a, a)))))) | (mult(mult(mult(mult(c, a), b), b), mult(a, a)) = mult(mult(mult(c, a), b), mult(mult(a, a), b)))),
% 5.32/5.53 inference(tautology,[status(thm)],[])).
% 5.32/5.53 tff(9457,plain,
% 5.32/5.53 ((~(mult(mult(mult(mult(c, a), b), b), mult(a, a)) = mult(mult(mult(c, a), b), mult(mult(a, a), b)))) | (~(mult(mult(mult(mult(c, a), b), mult(a, a)), b) = mult(mult(mult(c, a), b), mult(b, mult(a, a)))))),
% 5.32/5.53 inference(unit_resolution,[status(thm)],[9456, 9455])).
% 5.32/5.53 tff(9458,plain,
% 5.32/5.53 (~((~(mult(mult(mult(mult(c, a), b), b), mult(a, a)) = mult(mult(mult(c, a), b), mult(b, mult(a, a))))) | (~(mult(mult(mult(mult(c, a), b), mult(a, a)), b) = mult(mult(mult(c, a), b), mult(mult(a, a), b)))))),
% 5.32/5.53 inference(unit_resolution,[status(thm)],[9425, 9457])).
% 5.32/5.53 tff(9459,plain,
% 5.32/5.53 (mult(mult(mult(mult(c, a), b), mult(a, a)), b) = mult(mult(mult(c, a), b), mult(mult(a, a), b))),
% 5.32/5.53 inference(unit_resolution,[status(thm)],[9427, 9458])).
% 5.32/5.53 tff(9460,plain,
% 5.32/5.53 (mult(mult(mult(c, a), b), mult(mult(a, a), b)) = mult(mult(mult(mult(c, a), b), mult(a, a)), b)),
% 5.32/5.53 inference(symmetry,[status(thm)],[9459])).
% 5.32/5.53 tff(9461,plain,
% 5.32/5.53 (((~(mult(mult(mult(mult(c, a), b), b), mult(a, a)) = mult(mult(mult(c, a), b), mult(b, mult(a, a))))) | (~(mult(mult(mult(mult(c, a), b), mult(a, a)), b) = mult(mult(mult(c, a), b), mult(mult(a, a), b))))) | (mult(mult(mult(mult(c, a), b), b), mult(a, a)) = mult(mult(mult(c, a), b), mult(b, mult(a, a))))),
% 5.32/5.53 inference(tautology,[status(thm)],[])).
% 5.32/5.53 tff(9462,plain,
% 5.32/5.53 (mult(mult(mult(mult(c, a), b), b), mult(a, a)) = mult(mult(mult(c, a), b), mult(b, mult(a, a)))),
% 5.32/5.53 inference(unit_resolution,[status(thm)],[9461, 9458])).
% 5.32/5.53 tff(9463,plain,
% 5.32/5.53 ((mult(mult(mult(mult(c, a), b), b), mult(a, a)) = mult(mult(mult(c, a), b), mult(mult(a, a), b))) <=> (mult(mult(mult(c, a), b), mult(b, mult(a, a))) = mult(mult(mult(mult(c, a), b), mult(a, a)), b))),
% 5.32/5.53 inference(monotonicity,[status(thm)],[9462, 9460])).
% 5.32/5.53 tff(9464,plain,
% 5.32/5.53 ((mult(mult(mult(mult(c, a), b), b), mult(a, a)) = mult(mult(mult(c, a), b), mult(mult(a, a), b))) <=> (mult(mult(mult(mult(c, a), b), mult(a, a)), b) = mult(mult(mult(c, a), b), mult(b, mult(a, a))))),
% 5.32/5.53 inference(transitivity,[status(thm)],[9463, 9374])).
% 5.32/5.53 tff(9465,plain,
% 5.32/5.53 ((mult(mult(mult(mult(c, a), b), mult(a, a)), b) = mult(mult(mult(c, a), b), mult(b, mult(a, a)))) <=> (mult(mult(mult(mult(c, a), b), b), mult(a, a)) = mult(mult(mult(c, a), b), mult(mult(a, a), b)))),
% 5.32/5.53 inference(symmetry,[status(thm)],[9464])).
% 5.32/5.53 tff(9466,assumption,(mult(mult(mult(mult(c, a), b), mult(a, a)), b) = mult(mult(mult(c, a), b), mult(b, mult(a, a)))), introduced(assumption)).
% 5.32/5.53 tff(9467,plain,
% 5.32/5.53 (mult(mult(mult(mult(c, a), b), b), mult(a, a)) = mult(mult(mult(c, a), b), mult(mult(a, a), b))),
% 5.32/5.53 inference(modus_ponens,[status(thm)],[9466, 9465])).
% 5.32/5.53 tff(9468,plain,
% 5.32/5.53 ($false),
% 5.32/5.53 inference(unit_resolution,[status(thm)],[9455, 9467])).
% 5.32/5.53 tff(9469,plain,((mult(mult(mult(mult(c, a), b), b), mult(a, a)) = mult(mult(mult(c, a), b), mult(mult(a, a), b))) | (~(mult(mult(mult(mult(c, a), b), mult(a, a)), b) = mult(mult(mult(c, a), b), mult(b, mult(a, a)))))), inference(lemma,lemma(discharge,[]))).
% 5.32/5.53 tff(9470,plain,
% 5.32/5.53 (mult(mult(mult(mult(c, a), b), b), mult(a, a)) = mult(mult(mult(c, a), b), mult(mult(a, a), b))),
% 5.32/5.53 inference(unit_resolution,[status(thm)],[9469, 9454])).
% 5.32/5.53 tff(9471,assumption,(~(mult(mult(a, a), mult(b, b)) = mult(a, mult(a, mult(b, b))))), introduced(assumption)).
% 5.32/5.53 tff(9472,plain,
% 5.32/5.53 (((~(mult(mult(a, a), mult(b, b)) = mult(a, mult(a, mult(b, b))))) | (~(mult(mult(a, mult(b, b)), a) = mult(a, mult(mult(b, b), a))))) | (mult(mult(a, a), mult(b, b)) = mult(a, mult(a, mult(b, b))))),
% 5.32/5.53 inference(tautology,[status(thm)],[])).
% 5.32/5.53 tff(9473,plain,
% 5.32/5.53 ((~(mult(mult(a, a), mult(b, b)) = mult(a, mult(a, mult(b, b))))) | (~(mult(mult(a, mult(b, b)), a) = mult(a, mult(mult(b, b), a))))),
% 5.32/5.53 inference(unit_resolution,[status(thm)],[9472, 9471])).
% 5.32/5.53 tff(9474,plain,
% 5.32/5.53 (((~![X0: $i, X1: $i, X2: $i] : ((~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X2, X1)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X1, X2)))))) | (~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X1, X2)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X2, X1)))))))) | ((~((~(mult(mult(a, a), mult(b, b)) = mult(a, mult(mult(b, b), a)))) | (~(mult(mult(a, mult(b, b)), a) = mult(a, mult(a, mult(b, b))))))) | (~((~(mult(mult(a, a), mult(b, b)) = mult(a, mult(a, mult(b, b))))) | (~(mult(mult(a, mult(b, b)), a) = mult(a, mult(mult(b, b), a)))))))) <=> ((~![X0: $i, X1: $i, X2: $i] : ((~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X2, X1)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X1, X2)))))) | (~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X1, X2)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X2, X1)))))))) | (~((~(mult(mult(a, a), mult(b, b)) = mult(a, mult(mult(b, b), a)))) | (~(mult(mult(a, mult(b, b)), a) = mult(a, mult(a, mult(b, b))))))) | (~((~(mult(mult(a, a), mult(b, b)) = mult(a, mult(a, mult(b, b))))) | (~(mult(mult(a, mult(b, b)), a) = mult(a, mult(mult(b, b), a)))))))),
% 5.32/5.53 inference(rewrite,[status(thm)],[])).
% 5.32/5.53 tff(9475,plain,
% 5.32/5.53 (((~((~(mult(mult(a, a), mult(b, b)) = mult(a, mult(mult(b, b), a)))) | (~(mult(mult(a, mult(b, b)), a) = mult(a, mult(a, mult(b, b))))))) | (~((~(mult(mult(a, a), mult(b, b)) = mult(a, mult(a, mult(b, b))))) | (~(mult(mult(a, mult(b, b)), a) = mult(a, mult(mult(b, b), a))))))) <=> ((~((~(mult(mult(a, a), mult(b, b)) = mult(a, mult(mult(b, b), a)))) | (~(mult(mult(a, mult(b, b)), a) = mult(a, mult(a, mult(b, b))))))) | (~((~(mult(mult(a, a), mult(b, b)) = mult(a, mult(a, mult(b, b))))) | (~(mult(mult(a, mult(b, b)), a) = mult(a, mult(mult(b, b), a)))))))),
% 5.32/5.53 inference(rewrite,[status(thm)],[])).
% 5.32/5.53 tff(9476,plain,
% 5.32/5.53 ((~((~(mult(mult(a, mult(b, b)), a) = mult(a, mult(mult(b, b), a)))) | (~(mult(mult(a, a), mult(b, b)) = mult(a, mult(a, mult(b, b))))))) <=> (~((~(mult(mult(a, a), mult(b, b)) = mult(a, mult(a, mult(b, b))))) | (~(mult(mult(a, mult(b, b)), a) = mult(a, mult(mult(b, b), a))))))),
% 5.32/5.53 inference(rewrite,[status(thm)],[])).
% 5.32/5.53 tff(9477,plain,
% 5.32/5.53 ((~((~(mult(mult(a, mult(b, b)), a) = mult(a, mult(a, mult(b, b))))) | (~(mult(mult(a, a), mult(b, b)) = mult(a, mult(mult(b, b), a)))))) <=> (~((~(mult(mult(a, a), mult(b, b)) = mult(a, mult(mult(b, b), a)))) | (~(mult(mult(a, mult(b, b)), a) = mult(a, mult(a, mult(b, b)))))))),
% 5.32/5.53 inference(rewrite,[status(thm)],[])).
% 5.32/5.53 tff(9478,plain,
% 5.32/5.53 (((~((~(mult(mult(a, mult(b, b)), a) = mult(a, mult(a, mult(b, b))))) | (~(mult(mult(a, a), mult(b, b)) = mult(a, mult(mult(b, b), a)))))) | (~((~(mult(mult(a, mult(b, b)), a) = mult(a, mult(mult(b, b), a)))) | (~(mult(mult(a, a), mult(b, b)) = mult(a, mult(a, mult(b, b)))))))) <=> ((~((~(mult(mult(a, a), mult(b, b)) = mult(a, mult(mult(b, b), a)))) | (~(mult(mult(a, mult(b, b)), a) = mult(a, mult(a, mult(b, b))))))) | (~((~(mult(mult(a, a), mult(b, b)) = mult(a, mult(a, mult(b, b))))) | (~(mult(mult(a, mult(b, b)), a) = mult(a, mult(mult(b, b), a)))))))),
% 5.32/5.53 inference(monotonicity,[status(thm)],[9477, 9476])).
% 5.32/5.53 tff(9479,plain,
% 5.32/5.53 (((~((~(mult(mult(a, mult(b, b)), a) = mult(a, mult(a, mult(b, b))))) | (~(mult(mult(a, a), mult(b, b)) = mult(a, mult(mult(b, b), a)))))) | (~((~(mult(mult(a, mult(b, b)), a) = mult(a, mult(mult(b, b), a)))) | (~(mult(mult(a, a), mult(b, b)) = mult(a, mult(a, mult(b, b)))))))) <=> ((~((~(mult(mult(a, a), mult(b, b)) = mult(a, mult(mult(b, b), a)))) | (~(mult(mult(a, mult(b, b)), a) = mult(a, mult(a, mult(b, b))))))) | (~((~(mult(mult(a, a), mult(b, b)) = mult(a, mult(a, mult(b, b))))) | (~(mult(mult(a, mult(b, b)), a) = mult(a, mult(mult(b, b), a)))))))),
% 5.32/5.54 inference(transitivity,[status(thm)],[9478, 9475])).
% 5.32/5.54 tff(9480,plain,
% 5.32/5.54 (((~![X0: $i, X1: $i, X2: $i] : ((~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X2, X1)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X1, X2)))))) | (~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X1, X2)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X2, X1)))))))) | ((~((~(mult(mult(a, mult(b, b)), a) = mult(a, mult(a, mult(b, b))))) | (~(mult(mult(a, a), mult(b, b)) = mult(a, mult(mult(b, b), a)))))) | (~((~(mult(mult(a, mult(b, b)), a) = mult(a, mult(mult(b, b), a)))) | (~(mult(mult(a, a), mult(b, b)) = mult(a, mult(a, mult(b, b))))))))) <=> ((~![X0: $i, X1: $i, X2: $i] : ((~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X2, X1)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X1, X2)))))) | (~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X1, X2)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X2, X1)))))))) | ((~((~(mult(mult(a, a), mult(b, b)) = mult(a, mult(mult(b, b), a)))) | (~(mult(mult(a, mult(b, b)), a) = mult(a, mult(a, mult(b, b))))))) | (~((~(mult(mult(a, a), mult(b, b)) = mult(a, mult(a, mult(b, b))))) | (~(mult(mult(a, mult(b, b)), a) = mult(a, mult(mult(b, b), a))))))))),
% 5.32/5.54 inference(monotonicity,[status(thm)],[9479])).
% 5.32/5.54 tff(9481,plain,
% 5.32/5.54 (((~![X0: $i, X1: $i, X2: $i] : ((~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X2, X1)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X1, X2)))))) | (~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X1, X2)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X2, X1)))))))) | ((~((~(mult(mult(a, mult(b, b)), a) = mult(a, mult(a, mult(b, b))))) | (~(mult(mult(a, a), mult(b, b)) = mult(a, mult(mult(b, b), a)))))) | (~((~(mult(mult(a, mult(b, b)), a) = mult(a, mult(mult(b, b), a)))) | (~(mult(mult(a, a), mult(b, b)) = mult(a, mult(a, mult(b, b))))))))) <=> ((~![X0: $i, X1: $i, X2: $i] : ((~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X2, X1)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X1, X2)))))) | (~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X1, X2)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X2, X1)))))))) | (~((~(mult(mult(a, a), mult(b, b)) = mult(a, mult(mult(b, b), a)))) | (~(mult(mult(a, mult(b, b)), a) = mult(a, mult(a, mult(b, b))))))) | (~((~(mult(mult(a, a), mult(b, b)) = mult(a, mult(a, mult(b, b))))) | (~(mult(mult(a, mult(b, b)), a) = mult(a, mult(mult(b, b), a)))))))),
% 5.32/5.54 inference(transitivity,[status(thm)],[9480, 9474])).
% 5.32/5.54 tff(9482,plain,
% 5.32/5.54 ((~![X0: $i, X1: $i, X2: $i] : ((~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X2, X1)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X1, X2)))))) | (~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X1, X2)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X2, X1)))))))) | ((~((~(mult(mult(a, mult(b, b)), a) = mult(a, mult(a, mult(b, b))))) | (~(mult(mult(a, a), mult(b, b)) = mult(a, mult(mult(b, b), a)))))) | (~((~(mult(mult(a, mult(b, b)), a) = mult(a, mult(mult(b, b), a)))) | (~(mult(mult(a, a), mult(b, b)) = mult(a, mult(a, mult(b, b))))))))),
% 5.32/5.54 inference(quant_inst,[status(thm)],[])).
% 5.32/5.54 tff(9483,plain,
% 5.32/5.54 ((~![X0: $i, X1: $i, X2: $i] : ((~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X2, X1)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X1, X2)))))) | (~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X1, X2)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X2, X1)))))))) | (~((~(mult(mult(a, a), mult(b, b)) = mult(a, mult(mult(b, b), a)))) | (~(mult(mult(a, mult(b, b)), a) = mult(a, mult(a, mult(b, b))))))) | (~((~(mult(mult(a, a), mult(b, b)) = mult(a, mult(a, mult(b, b))))) | (~(mult(mult(a, mult(b, b)), a) = mult(a, mult(mult(b, b), a))))))),
% 5.32/5.54 inference(modus_ponens,[status(thm)],[9482, 9481])).
% 5.32/5.54 tff(9484,plain,
% 5.32/5.54 ((~((~(mult(mult(a, a), mult(b, b)) = mult(a, mult(mult(b, b), a)))) | (~(mult(mult(a, mult(b, b)), a) = mult(a, mult(a, mult(b, b))))))) | (~((~(mult(mult(a, a), mult(b, b)) = mult(a, mult(a, mult(b, b))))) | (~(mult(mult(a, mult(b, b)), a) = mult(a, mult(mult(b, b), a))))))),
% 5.32/5.54 inference(unit_resolution,[status(thm)],[9483, 30])).
% 5.32/5.54 tff(9485,plain,
% 5.32/5.54 (~((~(mult(mult(a, a), mult(b, b)) = mult(a, mult(mult(b, b), a)))) | (~(mult(mult(a, mult(b, b)), a) = mult(a, mult(a, mult(b, b))))))),
% 5.32/5.54 inference(unit_resolution,[status(thm)],[9484, 9473])).
% 5.32/5.54 tff(9486,plain,
% 5.32/5.54 (((~(mult(mult(a, a), mult(b, b)) = mult(a, mult(mult(b, b), a)))) | (~(mult(mult(a, mult(b, b)), a) = mult(a, mult(a, mult(b, b)))))) | (mult(mult(a, mult(b, b)), a) = mult(a, mult(a, mult(b, b))))),
% 5.32/5.54 inference(tautology,[status(thm)],[])).
% 5.32/5.54 tff(9487,plain,
% 5.32/5.54 (mult(mult(a, mult(b, b)), a) = mult(a, mult(a, mult(b, b)))),
% 5.32/5.54 inference(unit_resolution,[status(thm)],[9486, 9485])).
% 5.32/5.54 tff(9488,plain,
% 5.32/5.54 (mult(a, mult(mult(a, mult(b, b)), a)) = mult(a, mult(a, mult(a, mult(b, b))))),
% 5.32/5.54 inference(monotonicity,[status(thm)],[9487])).
% 5.32/5.54 tff(9489,plain,
% 5.32/5.54 (mult(c, mult(a, mult(mult(a, mult(b, b)), a))) = mult(c, mult(a, mult(a, mult(a, mult(b, b)))))),
% 5.32/5.54 inference(monotonicity,[status(thm)],[9488])).
% 5.32/5.54 tff(9490,plain,
% 5.32/5.54 (mult(c, mult(mult(a, mult(b, b)), a)) = mult(c, mult(a, mult(a, mult(b, b))))),
% 5.32/5.54 inference(monotonicity,[status(thm)],[9487])).
% 5.32/5.54 tff(9491,plain,
% 5.32/5.54 (mult(mult(c, mult(mult(a, mult(b, b)), a)), a) = mult(mult(c, mult(a, mult(a, mult(b, b)))), a)),
% 5.32/5.54 inference(monotonicity,[status(thm)],[9490])).
% 5.32/5.54 tff(9492,plain,
% 5.32/5.54 ((mult(mult(c, mult(mult(a, mult(b, b)), a)), a) = mult(c, mult(a, mult(mult(a, mult(b, b)), a)))) <=> (mult(mult(c, mult(a, mult(a, mult(b, b)))), a) = mult(c, mult(a, mult(a, mult(a, mult(b, b))))))),
% 5.32/5.54 inference(monotonicity,[status(thm)],[9491, 9489])).
% 5.32/5.54 tff(9493,plain,
% 5.32/5.54 ((mult(mult(c, mult(a, mult(a, mult(b, b)))), a) = mult(c, mult(a, mult(a, mult(a, mult(b, b)))))) <=> (mult(mult(c, mult(mult(a, mult(b, b)), a)), a) = mult(c, mult(a, mult(mult(a, mult(b, b)), a))))),
% 5.32/5.54 inference(symmetry,[status(thm)],[9492])).
% 5.32/5.54 tff(9494,assumption,(~(mult(mult(mult(c, a), mult(a, mult(b, b))), a) = mult(c, mult(mult(a, mult(a, mult(b, b))), a)))), introduced(assumption)).
% 5.32/5.54 tff(9495,plain,
% 5.32/5.54 ((~![C: $i, B: $i, A: $i] : (mult(mult(mult(A, B), C), B) = mult(A, mult(mult(B, C), B)))) | (mult(mult(mult(c, a), mult(a, mult(b, b))), a) = mult(c, mult(mult(a, mult(a, mult(b, b))), a)))),
% 5.32/5.54 inference(quant_inst,[status(thm)],[])).
% 5.32/5.54 tff(9496,plain,
% 5.32/5.54 ($false),
% 5.32/5.54 inference(unit_resolution,[status(thm)],[9495, 860, 9494])).
% 5.32/5.54 tff(9497,plain,(mult(mult(mult(c, a), mult(a, mult(b, b))), a) = mult(c, mult(mult(a, mult(a, mult(b, b))), a))), inference(lemma,lemma(discharge,[]))).
% 5.32/5.54 tff(9498,plain,
% 5.32/5.54 ((mult(c, mult(mult(a, mult(a, mult(b, b))), a)) = mult(mult(c, a), mult(a, mult(a, mult(b, b))))) <=> (mult(mult(c, a), mult(a, mult(a, mult(b, b)))) = mult(c, mult(mult(a, mult(a, mult(b, b))), a)))),
% 5.32/5.54 inference(commutativity,[status(thm)],[])).
% 5.32/5.54 tff(9499,assumption,(mult(mult(a, mult(b, b)), a) = mult(a, mult(a, mult(b, b)))), introduced(assumption)).
% 5.32/5.54 tff(9500,plain,
% 5.32/5.54 (mult(mult(c, a), mult(mult(a, mult(b, b)), a)) = mult(mult(c, a), mult(a, mult(a, mult(b, b))))),
% 5.32/5.54 inference(monotonicity,[status(thm)],[9499])).
% 5.32/5.54 tff(9501,plain,
% 5.32/5.54 ((mult(mult(mult(c, a), mult(a, mult(b, b))), a) = mult(mult(c, a), mult(mult(a, mult(b, b)), a))) <=> (mult(c, mult(mult(a, mult(a, mult(b, b))), a)) = mult(mult(c, a), mult(a, mult(a, mult(b, b)))))),
% 5.32/5.54 inference(monotonicity,[status(thm)],[9497, 9500])).
% 5.32/5.54 tff(9502,plain,
% 5.32/5.54 ((mult(mult(mult(c, a), mult(a, mult(b, b))), a) = mult(mult(c, a), mult(mult(a, mult(b, b)), a))) <=> (mult(mult(c, a), mult(a, mult(a, mult(b, b)))) = mult(c, mult(mult(a, mult(a, mult(b, b))), a)))),
% 5.32/5.54 inference(transitivity,[status(thm)],[9501, 9498])).
% 5.32/5.54 tff(9503,plain,
% 5.32/5.54 ((mult(mult(c, a), mult(a, mult(a, mult(b, b)))) = mult(c, mult(mult(a, mult(a, mult(b, b))), a))) <=> (mult(mult(mult(c, a), mult(a, mult(b, b))), a) = mult(mult(c, a), mult(mult(a, mult(b, b)), a)))),
% 5.32/5.54 inference(symmetry,[status(thm)],[9502])).
% 5.32/5.54 tff(9504,plain,
% 5.32/5.54 ((mult(mult(mult(c, a), mult(a, mult(b, b))), a) = mult(mult(c, a), mult(a, mult(a, mult(b, b))))) <=> (mult(c, mult(mult(a, mult(a, mult(b, b))), a)) = mult(mult(c, a), mult(a, mult(a, mult(b, b)))))),
% 5.32/5.54 inference(monotonicity,[status(thm)],[9497])).
% 5.32/5.54 tff(9505,plain,
% 5.32/5.54 ((mult(mult(mult(c, a), mult(a, mult(b, b))), a) = mult(mult(c, a), mult(a, mult(a, mult(b, b))))) <=> (mult(mult(c, a), mult(a, mult(a, mult(b, b)))) = mult(c, mult(mult(a, mult(a, mult(b, b))), a)))),
% 5.32/5.54 inference(transitivity,[status(thm)],[9504, 9498])).
% 5.32/5.54 tff(9506,plain,
% 5.32/5.54 ((mult(mult(mult(c, a), mult(a, mult(b, b))), a) = mult(mult(c, a), mult(a, mult(a, mult(b, b))))) <=> (mult(mult(mult(c, a), mult(a, mult(b, b))), a) = mult(mult(c, a), mult(mult(a, mult(b, b)), a)))),
% 5.32/5.54 inference(transitivity,[status(thm)],[9505, 9503])).
% 5.32/5.54 tff(9507,assumption,(~(mult(mult(mult(c, a), mult(a, mult(b, b))), a) = mult(mult(c, a), mult(mult(a, mult(b, b)), a)))), introduced(assumption)).
% 5.32/5.54 tff(9508,plain,
% 5.32/5.54 (((~(mult(mult(mult(c, a), a), mult(a, mult(b, b))) = mult(mult(c, a), mult(a, mult(a, mult(b, b)))))) | (~(mult(mult(mult(c, a), mult(a, mult(b, b))), a) = mult(mult(c, a), mult(mult(a, mult(b, b)), a))))) | (mult(mult(mult(c, a), mult(a, mult(b, b))), a) = mult(mult(c, a), mult(mult(a, mult(b, b)), a)))),
% 5.32/5.54 inference(tautology,[status(thm)],[])).
% 5.32/5.54 tff(9509,plain,
% 5.32/5.54 ((~(mult(mult(mult(c, a), a), mult(a, mult(b, b))) = mult(mult(c, a), mult(a, mult(a, mult(b, b)))))) | (~(mult(mult(mult(c, a), mult(a, mult(b, b))), a) = mult(mult(c, a), mult(mult(a, mult(b, b)), a))))),
% 5.32/5.54 inference(unit_resolution,[status(thm)],[9508, 9507])).
% 5.32/5.54 tff(9510,plain,
% 5.32/5.54 (((~![X0: $i, X1: $i, X2: $i] : ((~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X2, X1)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X1, X2)))))) | (~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X1, X2)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X2, X1)))))))) | ((~((~(mult(mult(mult(c, a), a), mult(a, mult(b, b))) = mult(mult(c, a), mult(mult(a, mult(b, b)), a)))) | (~(mult(mult(mult(c, a), mult(a, mult(b, b))), a) = mult(mult(c, a), mult(a, mult(a, mult(b, b)))))))) | (~((~(mult(mult(mult(c, a), a), mult(a, mult(b, b))) = mult(mult(c, a), mult(a, mult(a, mult(b, b)))))) | (~(mult(mult(mult(c, a), mult(a, mult(b, b))), a) = mult(mult(c, a), mult(mult(a, mult(b, b)), a)))))))) <=> ((~![X0: $i, X1: $i, X2: $i] : ((~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X2, X1)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X1, X2)))))) | (~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X1, X2)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X2, X1)))))))) | (~((~(mult(mult(mult(c, a), a), mult(a, mult(b, b))) = mult(mult(c, a), mult(mult(a, mult(b, b)), a)))) | (~(mult(mult(mult(c, a), mult(a, mult(b, b))), a) = mult(mult(c, a), mult(a, mult(a, mult(b, b)))))))) | (~((~(mult(mult(mult(c, a), a), mult(a, mult(b, b))) = mult(mult(c, a), mult(a, mult(a, mult(b, b)))))) | (~(mult(mult(mult(c, a), mult(a, mult(b, b))), a) = mult(mult(c, a), mult(mult(a, mult(b, b)), a)))))))),
% 5.32/5.54 inference(rewrite,[status(thm)],[])).
% 5.32/5.54 tff(9511,plain,
% 5.32/5.54 ((~![X0: $i, X1: $i, X2: $i] : ((~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X2, X1)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X1, X2)))))) | (~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X1, X2)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X2, X1)))))))) | ((~((~(mult(mult(mult(c, a), a), mult(a, mult(b, b))) = mult(mult(c, a), mult(mult(a, mult(b, b)), a)))) | (~(mult(mult(mult(c, a), mult(a, mult(b, b))), a) = mult(mult(c, a), mult(a, mult(a, mult(b, b)))))))) | (~((~(mult(mult(mult(c, a), a), mult(a, mult(b, b))) = mult(mult(c, a), mult(a, mult(a, mult(b, b)))))) | (~(mult(mult(mult(c, a), mult(a, mult(b, b))), a) = mult(mult(c, a), mult(mult(a, mult(b, b)), a)))))))),
% 5.32/5.54 inference(quant_inst,[status(thm)],[])).
% 5.32/5.54 tff(9512,plain,
% 5.32/5.54 ((~![X0: $i, X1: $i, X2: $i] : ((~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X2, X1)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X1, X2)))))) | (~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X1, X2)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X2, X1)))))))) | (~((~(mult(mult(mult(c, a), a), mult(a, mult(b, b))) = mult(mult(c, a), mult(mult(a, mult(b, b)), a)))) | (~(mult(mult(mult(c, a), mult(a, mult(b, b))), a) = mult(mult(c, a), mult(a, mult(a, mult(b, b)))))))) | (~((~(mult(mult(mult(c, a), a), mult(a, mult(b, b))) = mult(mult(c, a), mult(a, mult(a, mult(b, b)))))) | (~(mult(mult(mult(c, a), mult(a, mult(b, b))), a) = mult(mult(c, a), mult(mult(a, mult(b, b)), a))))))),
% 5.38/5.54 inference(modus_ponens,[status(thm)],[9511, 9510])).
% 5.38/5.54 tff(9513,plain,
% 5.38/5.54 ((~((~(mult(mult(mult(c, a), a), mult(a, mult(b, b))) = mult(mult(c, a), mult(mult(a, mult(b, b)), a)))) | (~(mult(mult(mult(c, a), mult(a, mult(b, b))), a) = mult(mult(c, a), mult(a, mult(a, mult(b, b)))))))) | (~((~(mult(mult(mult(c, a), a), mult(a, mult(b, b))) = mult(mult(c, a), mult(a, mult(a, mult(b, b)))))) | (~(mult(mult(mult(c, a), mult(a, mult(b, b))), a) = mult(mult(c, a), mult(mult(a, mult(b, b)), a))))))),
% 5.38/5.54 inference(unit_resolution,[status(thm)],[9512, 30])).
% 5.38/5.54 tff(9514,plain,
% 5.38/5.54 (~((~(mult(mult(mult(c, a), a), mult(a, mult(b, b))) = mult(mult(c, a), mult(mult(a, mult(b, b)), a)))) | (~(mult(mult(mult(c, a), mult(a, mult(b, b))), a) = mult(mult(c, a), mult(a, mult(a, mult(b, b)))))))),
% 5.38/5.54 inference(unit_resolution,[status(thm)],[9513, 9509])).
% 5.38/5.54 tff(9515,plain,
% 5.38/5.54 (((~(mult(mult(mult(c, a), a), mult(a, mult(b, b))) = mult(mult(c, a), mult(mult(a, mult(b, b)), a)))) | (~(mult(mult(mult(c, a), mult(a, mult(b, b))), a) = mult(mult(c, a), mult(a, mult(a, mult(b, b))))))) | (mult(mult(mult(c, a), mult(a, mult(b, b))), a) = mult(mult(c, a), mult(a, mult(a, mult(b, b)))))),
% 5.38/5.54 inference(tautology,[status(thm)],[])).
% 5.38/5.54 tff(9516,plain,
% 5.38/5.54 (mult(mult(mult(c, a), mult(a, mult(b, b))), a) = mult(mult(c, a), mult(a, mult(a, mult(b, b))))),
% 5.38/5.54 inference(unit_resolution,[status(thm)],[9515, 9514])).
% 5.38/5.54 tff(9517,plain,
% 5.38/5.54 (mult(mult(mult(c, a), mult(a, mult(b, b))), a) = mult(mult(c, a), mult(mult(a, mult(b, b)), a))),
% 5.38/5.54 inference(modus_ponens,[status(thm)],[9516, 9506])).
% 5.38/5.54 tff(9518,plain,
% 5.38/5.54 ($false),
% 5.38/5.54 inference(unit_resolution,[status(thm)],[9507, 9517])).
% 5.38/5.54 tff(9519,plain,((mult(mult(mult(c, a), mult(a, mult(b, b))), a) = mult(mult(c, a), mult(mult(a, mult(b, b)), a))) | (~(mult(mult(a, mult(b, b)), a) = mult(a, mult(a, mult(b, b)))))), inference(lemma,lemma(discharge,[]))).
% 5.38/5.54 tff(9520,plain,
% 5.38/5.54 (mult(mult(mult(c, a), mult(a, mult(b, b))), a) = mult(mult(c, a), mult(mult(a, mult(b, b)), a))),
% 5.38/5.54 inference(unit_resolution,[status(thm)],[9519, 9487])).
% 5.38/5.54 tff(9521,plain,
% 5.38/5.54 (mult(mult(c, a), mult(mult(a, mult(b, b)), a)) = mult(mult(mult(c, a), mult(a, mult(b, b))), a)),
% 5.38/5.54 inference(symmetry,[status(thm)],[9520])).
% 5.38/5.54 tff(9522,plain,
% 5.38/5.54 (mult(a, mult(a, mult(b, b))) = mult(mult(a, mult(b, b)), a)),
% 5.38/5.54 inference(symmetry,[status(thm)],[9487])).
% 5.38/5.54 tff(9523,plain,
% 5.38/5.54 (mult(mult(c, a), mult(a, mult(a, mult(b, b)))) = mult(mult(c, a), mult(mult(a, mult(b, b)), a))),
% 5.38/5.54 inference(monotonicity,[status(thm)],[9522])).
% 5.38/5.54 tff(9524,plain,
% 5.38/5.54 ((mult(c, mult(a, mult(a, mult(a, mult(b, b))))) = mult(mult(c, a), mult(a, mult(a, mult(b, b))))) <=> (mult(mult(c, a), mult(a, mult(a, mult(b, b)))) = mult(c, mult(a, mult(a, mult(a, mult(b, b))))))),
% 5.38/5.54 inference(commutativity,[status(thm)],[])).
% 5.38/5.54 tff(9525,plain,
% 5.38/5.54 (mult(a, mult(a, mult(b, b))) = mult(mult(a, mult(b, b)), a)),
% 5.38/5.54 inference(symmetry,[status(thm)],[9499])).
% 5.38/5.54 tff(9526,plain,
% 5.38/5.54 (mult(mult(c, a), mult(a, mult(a, mult(b, b)))) = mult(mult(c, a), mult(mult(a, mult(b, b)), a))),
% 5.38/5.54 inference(monotonicity,[status(thm)],[9525])).
% 5.38/5.54 tff(9527,plain,
% 5.38/5.54 (mult(mult(c, a), mult(mult(a, mult(b, b)), a)) = mult(mult(c, a), mult(a, mult(a, mult(b, b))))),
% 5.38/5.54 inference(symmetry,[status(thm)],[9526])).
% 5.38/5.54 tff(9528,plain,
% 5.38/5.54 (mult(mult(mult(c, a), mult(a, mult(b, b))), a) = mult(mult(c, a), mult(mult(a, mult(b, b)), a))),
% 5.38/5.54 inference(unit_resolution,[status(thm)],[9519, 9499])).
% 5.38/5.54 tff(9529,plain,
% 5.38/5.54 (mult(c, mult(mult(a, mult(a, mult(b, b))), a)) = mult(mult(mult(c, a), mult(a, mult(b, b))), a)),
% 5.38/5.54 inference(symmetry,[status(thm)],[9497])).
% 5.38/5.54 tff(9530,plain,
% 5.38/5.54 (mult(c, mult(mult(a, mult(a, mult(b, b))), a)) = mult(mult(c, a), mult(a, mult(a, mult(b, b))))),
% 5.38/5.54 inference(transitivity,[status(thm)],[9529, 9528, 9527])).
% 5.38/5.54 tff(9531,assumption,(~(mult(mult(c, a), mult(a, mult(a, mult(b, b)))) = mult(c, mult(a, mult(a, mult(a, mult(b, b))))))), introduced(assumption)).
% 5.38/5.54 tff(9532,plain,
% 5.38/5.54 (((~(mult(mult(c, mult(a, mult(a, mult(b, b)))), a) = mult(c, mult(mult(a, mult(a, mult(b, b))), a)))) | (~(mult(mult(c, a), mult(a, mult(a, mult(b, b)))) = mult(c, mult(a, mult(a, mult(a, mult(b, b)))))))) | (mult(mult(c, a), mult(a, mult(a, mult(b, b)))) = mult(c, mult(a, mult(a, mult(a, mult(b, b))))))),
% 5.38/5.55 inference(tautology,[status(thm)],[])).
% 5.38/5.55 tff(9533,plain,
% 5.38/5.55 ((~(mult(mult(c, mult(a, mult(a, mult(b, b)))), a) = mult(c, mult(mult(a, mult(a, mult(b, b))), a)))) | (~(mult(mult(c, a), mult(a, mult(a, mult(b, b)))) = mult(c, mult(a, mult(a, mult(a, mult(b, b)))))))),
% 5.38/5.55 inference(unit_resolution,[status(thm)],[9532, 9531])).
% 5.38/5.55 tff(9534,plain,
% 5.38/5.55 (((~![X0: $i, X1: $i, X2: $i] : ((~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X2, X1)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X1, X2)))))) | (~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X1, X2)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X2, X1)))))))) | ((~((~(mult(mult(c, mult(a, mult(a, mult(b, b)))), a) = mult(c, mult(a, mult(a, mult(a, mult(b, b))))))) | (~(mult(mult(c, a), mult(a, mult(a, mult(b, b)))) = mult(c, mult(mult(a, mult(a, mult(b, b))), a)))))) | (~((~(mult(mult(c, mult(a, mult(a, mult(b, b)))), a) = mult(c, mult(mult(a, mult(a, mult(b, b))), a)))) | (~(mult(mult(c, a), mult(a, mult(a, mult(b, b)))) = mult(c, mult(a, mult(a, mult(a, mult(b, b))))))))))) <=> ((~![X0: $i, X1: $i, X2: $i] : ((~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X2, X1)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X1, X2)))))) | (~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X1, X2)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X2, X1)))))))) | (~((~(mult(mult(c, mult(a, mult(a, mult(b, b)))), a) = mult(c, mult(a, mult(a, mult(a, mult(b, b))))))) | (~(mult(mult(c, a), mult(a, mult(a, mult(b, b)))) = mult(c, mult(mult(a, mult(a, mult(b, b))), a)))))) | (~((~(mult(mult(c, mult(a, mult(a, mult(b, b)))), a) = mult(c, mult(mult(a, mult(a, mult(b, b))), a)))) | (~(mult(mult(c, a), mult(a, mult(a, mult(b, b)))) = mult(c, mult(a, mult(a, mult(a, mult(b, b))))))))))),
% 5.38/5.55 inference(rewrite,[status(thm)],[])).
% 5.38/5.55 tff(9535,plain,
% 5.38/5.55 ((~![X0: $i, X1: $i, X2: $i] : ((~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X2, X1)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X1, X2)))))) | (~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X1, X2)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X2, X1)))))))) | ((~((~(mult(mult(c, mult(a, mult(a, mult(b, b)))), a) = mult(c, mult(a, mult(a, mult(a, mult(b, b))))))) | (~(mult(mult(c, a), mult(a, mult(a, mult(b, b)))) = mult(c, mult(mult(a, mult(a, mult(b, b))), a)))))) | (~((~(mult(mult(c, mult(a, mult(a, mult(b, b)))), a) = mult(c, mult(mult(a, mult(a, mult(b, b))), a)))) | (~(mult(mult(c, a), mult(a, mult(a, mult(b, b)))) = mult(c, mult(a, mult(a, mult(a, mult(b, b))))))))))),
% 5.38/5.55 inference(quant_inst,[status(thm)],[])).
% 5.38/5.55 tff(9536,plain,
% 5.38/5.55 ((~![X0: $i, X1: $i, X2: $i] : ((~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X2, X1)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X1, X2)))))) | (~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X1, X2)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X2, X1)))))))) | (~((~(mult(mult(c, mult(a, mult(a, mult(b, b)))), a) = mult(c, mult(a, mult(a, mult(a, mult(b, b))))))) | (~(mult(mult(c, a), mult(a, mult(a, mult(b, b)))) = mult(c, mult(mult(a, mult(a, mult(b, b))), a)))))) | (~((~(mult(mult(c, mult(a, mult(a, mult(b, b)))), a) = mult(c, mult(mult(a, mult(a, mult(b, b))), a)))) | (~(mult(mult(c, a), mult(a, mult(a, mult(b, b)))) = mult(c, mult(a, mult(a, mult(a, mult(b, b)))))))))),
% 5.38/5.55 inference(modus_ponens,[status(thm)],[9535, 9534])).
% 5.38/5.55 tff(9537,plain,
% 5.38/5.55 ((~((~(mult(mult(c, mult(a, mult(a, mult(b, b)))), a) = mult(c, mult(a, mult(a, mult(a, mult(b, b))))))) | (~(mult(mult(c, a), mult(a, mult(a, mult(b, b)))) = mult(c, mult(mult(a, mult(a, mult(b, b))), a)))))) | (~((~(mult(mult(c, mult(a, mult(a, mult(b, b)))), a) = mult(c, mult(mult(a, mult(a, mult(b, b))), a)))) | (~(mult(mult(c, a), mult(a, mult(a, mult(b, b)))) = mult(c, mult(a, mult(a, mult(a, mult(b, b)))))))))),
% 5.38/5.55 inference(unit_resolution,[status(thm)],[9536, 30])).
% 5.38/5.55 tff(9538,plain,
% 5.38/5.55 (~((~(mult(mult(c, mult(a, mult(a, mult(b, b)))), a) = mult(c, mult(a, mult(a, mult(a, mult(b, b))))))) | (~(mult(mult(c, a), mult(a, mult(a, mult(b, b)))) = mult(c, mult(mult(a, mult(a, mult(b, b))), a)))))),
% 5.38/5.55 inference(unit_resolution,[status(thm)],[9537, 9533])).
% 5.38/5.55 tff(9539,plain,
% 5.38/5.55 (((~(mult(mult(c, mult(a, mult(a, mult(b, b)))), a) = mult(c, mult(a, mult(a, mult(a, mult(b, b))))))) | (~(mult(mult(c, a), mult(a, mult(a, mult(b, b)))) = mult(c, mult(mult(a, mult(a, mult(b, b))), a))))) | (mult(mult(c, mult(a, mult(a, mult(b, b)))), a) = mult(c, mult(a, mult(a, mult(a, mult(b, b))))))),
% 5.38/5.55 inference(tautology,[status(thm)],[])).
% 5.38/5.55 tff(9540,plain,
% 5.38/5.55 (mult(mult(c, mult(a, mult(a, mult(b, b)))), a) = mult(c, mult(a, mult(a, mult(a, mult(b, b)))))),
% 5.38/5.55 inference(unit_resolution,[status(thm)],[9539, 9538])).
% 5.38/5.55 tff(9541,plain,
% 5.38/5.55 ((mult(mult(c, mult(a, mult(a, mult(b, b)))), a) = mult(c, mult(mult(a, mult(a, mult(b, b))), a))) <=> (mult(c, mult(a, mult(a, mult(a, mult(b, b))))) = mult(mult(c, a), mult(a, mult(a, mult(b, b)))))),
% 5.38/5.55 inference(monotonicity,[status(thm)],[9540, 9530])).
% 5.38/5.55 tff(9542,plain,
% 5.38/5.55 ((mult(mult(c, mult(a, mult(a, mult(b, b)))), a) = mult(c, mult(mult(a, mult(a, mult(b, b))), a))) <=> (mult(mult(c, a), mult(a, mult(a, mult(b, b)))) = mult(c, mult(a, mult(a, mult(a, mult(b, b))))))),
% 5.38/5.55 inference(transitivity,[status(thm)],[9541, 9524])).
% 5.38/5.55 tff(9543,plain,
% 5.38/5.55 ((mult(mult(c, a), mult(a, mult(a, mult(b, b)))) = mult(c, mult(a, mult(a, mult(a, mult(b, b)))))) <=> (mult(mult(c, mult(a, mult(a, mult(b, b)))), a) = mult(c, mult(mult(a, mult(a, mult(b, b))), a)))),
% 5.38/5.55 inference(symmetry,[status(thm)],[9542])).
% 5.38/5.55 tff(9544,plain,
% 5.38/5.55 ((~(mult(mult(c, a), mult(a, mult(a, mult(b, b)))) = mult(c, mult(a, mult(a, mult(a, mult(b, b))))))) <=> (~(mult(mult(c, mult(a, mult(a, mult(b, b)))), a) = mult(c, mult(mult(a, mult(a, mult(b, b))), a))))),
% 5.38/5.55 inference(monotonicity,[status(thm)],[9543])).
% 5.38/5.55 tff(9545,plain,
% 5.38/5.55 (~(mult(mult(c, mult(a, mult(a, mult(b, b)))), a) = mult(c, mult(mult(a, mult(a, mult(b, b))), a)))),
% 5.38/5.55 inference(modus_ponens,[status(thm)],[9531, 9544])).
% 5.38/5.55 tff(9546,plain,
% 5.38/5.55 (((~![X0: $i, X1: $i, X2: $i] : ((~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X2, X1)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X1, X2)))))) | (~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X1, X2)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X2, X1)))))))) | (mult(mult(mult(c, a), b), b) = mult(mult(c, a), mult(b, b)))) <=> ((~![X0: $i, X1: $i, X2: $i] : ((~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X2, X1)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X1, X2)))))) | (~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X1, X2)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X2, X1)))))))) | (mult(mult(mult(c, a), b), b) = mult(mult(c, a), mult(b, b))))),
% 5.38/5.55 inference(rewrite,[status(thm)],[])).
% 5.38/5.55 tff(9547,plain,
% 5.38/5.55 (((mult(mult(mult(c, a), b), b) = mult(mult(c, a), mult(b, b))) | (mult(mult(mult(c, a), b), b) = mult(mult(c, a), mult(b, b)))) <=> (mult(mult(mult(c, a), b), b) = mult(mult(c, a), mult(b, b)))),
% 5.38/5.55 inference(rewrite,[status(thm)],[])).
% 5.38/5.55 tff(9548,plain,
% 5.38/5.55 ((~(~(mult(mult(mult(c, a), b), b) = mult(mult(c, a), mult(b, b))))) <=> (mult(mult(mult(c, a), b), b) = mult(mult(c, a), mult(b, b)))),
% 5.38/5.55 inference(rewrite,[status(thm)],[])).
% 5.38/5.55 tff(9549,plain,
% 5.38/5.55 (((~(mult(mult(mult(c, a), b), b) = mult(mult(c, a), mult(b, b)))) | (~(mult(mult(mult(c, a), b), b) = mult(mult(c, a), mult(b, b))))) <=> (~(mult(mult(mult(c, a), b), b) = mult(mult(c, a), mult(b, b))))),
% 5.38/5.55 inference(rewrite,[status(thm)],[])).
% 5.38/5.55 tff(9550,plain,
% 5.38/5.55 ((~((~(mult(mult(mult(c, a), b), b) = mult(mult(c, a), mult(b, b)))) | (~(mult(mult(mult(c, a), b), b) = mult(mult(c, a), mult(b, b)))))) <=> (~(~(mult(mult(mult(c, a), b), b) = mult(mult(c, a), mult(b, b)))))),
% 5.38/5.55 inference(monotonicity,[status(thm)],[9549])).
% 5.38/5.55 tff(9551,plain,
% 5.38/5.55 ((~((~(mult(mult(mult(c, a), b), b) = mult(mult(c, a), mult(b, b)))) | (~(mult(mult(mult(c, a), b), b) = mult(mult(c, a), mult(b, b)))))) <=> (mult(mult(mult(c, a), b), b) = mult(mult(c, a), mult(b, b)))),
% 5.38/5.55 inference(transitivity,[status(thm)],[9550, 9548])).
% 5.38/5.55 tff(9552,plain,
% 5.38/5.55 (((~((~(mult(mult(mult(c, a), b), b) = mult(mult(c, a), mult(b, b)))) | (~(mult(mult(mult(c, a), b), b) = mult(mult(c, a), mult(b, b)))))) | (~((~(mult(mult(mult(c, a), b), b) = mult(mult(c, a), mult(b, b)))) | (~(mult(mult(mult(c, a), b), b) = mult(mult(c, a), mult(b, b))))))) <=> ((mult(mult(mult(c, a), b), b) = mult(mult(c, a), mult(b, b))) | (mult(mult(mult(c, a), b), b) = mult(mult(c, a), mult(b, b))))),
% 5.38/5.55 inference(monotonicity,[status(thm)],[9551, 9551])).
% 5.38/5.55 tff(9553,plain,
% 5.38/5.55 (((~((~(mult(mult(mult(c, a), b), b) = mult(mult(c, a), mult(b, b)))) | (~(mult(mult(mult(c, a), b), b) = mult(mult(c, a), mult(b, b)))))) | (~((~(mult(mult(mult(c, a), b), b) = mult(mult(c, a), mult(b, b)))) | (~(mult(mult(mult(c, a), b), b) = mult(mult(c, a), mult(b, b))))))) <=> (mult(mult(mult(c, a), b), b) = mult(mult(c, a), mult(b, b)))),
% 5.38/5.55 inference(transitivity,[status(thm)],[9552, 9547])).
% 5.38/5.55 tff(9554,plain,
% 5.38/5.55 (((~![X0: $i, X1: $i, X2: $i] : ((~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X2, X1)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X1, X2)))))) | (~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X1, X2)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X2, X1)))))))) | ((~((~(mult(mult(mult(c, a), b), b) = mult(mult(c, a), mult(b, b)))) | (~(mult(mult(mult(c, a), b), b) = mult(mult(c, a), mult(b, b)))))) | (~((~(mult(mult(mult(c, a), b), b) = mult(mult(c, a), mult(b, b)))) | (~(mult(mult(mult(c, a), b), b) = mult(mult(c, a), mult(b, b)))))))) <=> ((~![X0: $i, X1: $i, X2: $i] : ((~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X2, X1)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X1, X2)))))) | (~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X1, X2)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X2, X1)))))))) | (mult(mult(mult(c, a), b), b) = mult(mult(c, a), mult(b, b))))),
% 5.38/5.55 inference(monotonicity,[status(thm)],[9553])).
% 5.38/5.55 tff(9555,plain,
% 5.38/5.55 (((~![X0: $i, X1: $i, X2: $i] : ((~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X2, X1)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X1, X2)))))) | (~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X1, X2)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X2, X1)))))))) | ((~((~(mult(mult(mult(c, a), b), b) = mult(mult(c, a), mult(b, b)))) | (~(mult(mult(mult(c, a), b), b) = mult(mult(c, a), mult(b, b)))))) | (~((~(mult(mult(mult(c, a), b), b) = mult(mult(c, a), mult(b, b)))) | (~(mult(mult(mult(c, a), b), b) = mult(mult(c, a), mult(b, b)))))))) <=> ((~![X0: $i, X1: $i, X2: $i] : ((~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X2, X1)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X1, X2)))))) | (~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X1, X2)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X2, X1)))))))) | (mult(mult(mult(c, a), b), b) = mult(mult(c, a), mult(b, b))))),
% 5.38/5.55 inference(transitivity,[status(thm)],[9554, 9546])).
% 5.38/5.55 tff(9556,plain,
% 5.38/5.55 ((~![X0: $i, X1: $i, X2: $i] : ((~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X2, X1)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X1, X2)))))) | (~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X1, X2)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X2, X1)))))))) | ((~((~(mult(mult(mult(c, a), b), b) = mult(mult(c, a), mult(b, b)))) | (~(mult(mult(mult(c, a), b), b) = mult(mult(c, a), mult(b, b)))))) | (~((~(mult(mult(mult(c, a), b), b) = mult(mult(c, a), mult(b, b)))) | (~(mult(mult(mult(c, a), b), b) = mult(mult(c, a), mult(b, b)))))))),
% 5.38/5.55 inference(quant_inst,[status(thm)],[])).
% 5.38/5.55 tff(9557,plain,
% 5.38/5.55 ((~![X0: $i, X1: $i, X2: $i] : ((~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X2, X1)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X1, X2)))))) | (~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X1, X2)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X2, X1)))))))) | (mult(mult(mult(c, a), b), b) = mult(mult(c, a), mult(b, b)))),
% 5.38/5.55 inference(modus_ponens,[status(thm)],[9556, 9555])).
% 5.38/5.55 tff(9558,plain,
% 5.38/5.55 (mult(mult(mult(c, a), b), b) = mult(mult(c, a), mult(b, b))),
% 5.38/5.55 inference(unit_resolution,[status(thm)],[9557, 30])).
% 5.38/5.55 tff(9559,plain,
% 5.38/5.55 (mult(mult(c, a), mult(b, b)) = mult(mult(mult(c, a), b), b)),
% 5.38/5.55 inference(symmetry,[status(thm)],[9558])).
% 5.38/5.55 tff(9560,plain,
% 5.38/5.55 (mult(mult(mult(c, a), mult(b, b)), a) = mult(mult(mult(mult(c, a), b), b), a)),
% 5.38/5.55 inference(monotonicity,[status(thm)],[9559])).
% 5.38/5.55 tff(9561,plain,
% 5.38/5.55 ((mult(c, mult(a, mult(a, mult(b, b)))) = mult(mult(c, a), mult(a, mult(b, b)))) <=> (mult(mult(c, a), mult(a, mult(b, b))) = mult(c, mult(a, mult(a, mult(b, b)))))),
% 5.38/5.55 inference(commutativity,[status(thm)],[])).
% 5.38/5.55 tff(9562,plain,
% 5.38/5.55 (mult(c, mult(a, mult(a, mult(b, b)))) = mult(c, mult(mult(a, mult(b, b)), a))),
% 5.38/5.55 inference(monotonicity,[status(thm)],[9525])).
% 5.38/5.55 tff(9563,plain,
% 5.38/5.55 (mult(c, mult(mult(a, mult(b, b)), a)) = mult(c, mult(a, mult(a, mult(b, b))))),
% 5.38/5.55 inference(symmetry,[status(thm)],[9562])).
% 5.38/5.55 tff(9564,plain,
% 5.38/5.55 ((~![C: $i, B: $i, A: $i] : (mult(mult(mult(A, B), C), B) = mult(A, mult(mult(B, C), B)))) | (mult(mult(mult(c, a), mult(b, b)), a) = mult(c, mult(mult(a, mult(b, b)), a)))),
% 5.38/5.55 inference(quant_inst,[status(thm)],[])).
% 5.38/5.55 tff(9565,plain,
% 5.38/5.55 (mult(mult(mult(c, a), mult(b, b)), a) = mult(c, mult(mult(a, mult(b, b)), a))),
% 5.38/5.55 inference(unit_resolution,[status(thm)],[9564, 860])).
% 5.38/5.55 tff(9566,plain,
% 5.38/5.55 (mult(mult(mult(c, a), mult(b, b)), a) = mult(c, mult(a, mult(a, mult(b, b))))),
% 5.38/5.55 inference(transitivity,[status(thm)],[9565, 9563])).
% 5.38/5.55 tff(9567,plain,
% 5.38/5.55 ((mult(mult(mult(c, a), mult(b, b)), a) = mult(mult(c, a), mult(a, mult(b, b)))) <=> (mult(c, mult(a, mult(a, mult(b, b)))) = mult(mult(c, a), mult(a, mult(b, b))))),
% 5.38/5.55 inference(monotonicity,[status(thm)],[9566])).
% 5.38/5.55 tff(9568,plain,
% 5.38/5.55 ((mult(mult(mult(c, a), mult(b, b)), a) = mult(mult(c, a), mult(a, mult(b, b)))) <=> (mult(mult(c, a), mult(a, mult(b, b))) = mult(c, mult(a, mult(a, mult(b, b)))))),
% 5.38/5.55 inference(transitivity,[status(thm)],[9567, 9561])).
% 5.38/5.55 tff(9569,plain,
% 5.38/5.55 ((mult(mult(c, a), mult(a, mult(b, b))) = mult(c, mult(a, mult(a, mult(b, b))))) <=> (mult(mult(mult(c, a), mult(b, b)), a) = mult(mult(c, a), mult(a, mult(b, b))))),
% 5.38/5.55 inference(symmetry,[status(thm)],[9568])).
% 5.38/5.55 tff(9570,plain,
% 5.38/5.55 ((mult(mult(c, a), mult(a, mult(b, b))) = mult(c, mult(mult(a, mult(b, b)), a))) <=> (mult(mult(c, a), mult(a, mult(b, b))) = mult(c, mult(a, mult(a, mult(b, b)))))),
% 5.38/5.55 inference(monotonicity,[status(thm)],[9563])).
% 5.38/5.55 tff(9571,assumption,(~(mult(mult(c, a), mult(a, mult(b, b))) = mult(c, mult(mult(a, mult(b, b)), a)))), introduced(assumption)).
% 5.38/5.55 tff(9572,plain,
% 5.38/5.55 (((~(mult(mult(c, mult(a, mult(b, b))), a) = mult(c, mult(a, mult(a, mult(b, b)))))) | (~(mult(mult(c, a), mult(a, mult(b, b))) = mult(c, mult(mult(a, mult(b, b)), a))))) | (mult(mult(c, a), mult(a, mult(b, b))) = mult(c, mult(mult(a, mult(b, b)), a)))),
% 5.38/5.55 inference(tautology,[status(thm)],[])).
% 5.38/5.55 tff(9573,plain,
% 5.38/5.55 ((~(mult(mult(c, mult(a, mult(b, b))), a) = mult(c, mult(a, mult(a, mult(b, b)))))) | (~(mult(mult(c, a), mult(a, mult(b, b))) = mult(c, mult(mult(a, mult(b, b)), a))))),
% 5.38/5.55 inference(unit_resolution,[status(thm)],[9572, 9571])).
% 5.38/5.55 tff(9574,plain,
% 5.38/5.55 (((~![X0: $i, X1: $i, X2: $i] : ((~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X2, X1)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X1, X2)))))) | (~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X1, X2)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X2, X1)))))))) | ((~((~(mult(mult(c, mult(a, mult(b, b))), a) = mult(c, mult(a, mult(a, mult(b, b)))))) | (~(mult(mult(c, a), mult(a, mult(b, b))) = mult(c, mult(mult(a, mult(b, b)), a)))))) | (~((~(mult(mult(c, mult(a, mult(b, b))), a) = mult(c, mult(mult(a, mult(b, b)), a)))) | (~(mult(mult(c, a), mult(a, mult(b, b))) = mult(c, mult(a, mult(a, mult(b, b)))))))))) <=> ((~![X0: $i, X1: $i, X2: $i] : ((~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X2, X1)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X1, X2)))))) | (~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X1, X2)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X2, X1)))))))) | (~((~(mult(mult(c, mult(a, mult(b, b))), a) = mult(c, mult(a, mult(a, mult(b, b)))))) | (~(mult(mult(c, a), mult(a, mult(b, b))) = mult(c, mult(mult(a, mult(b, b)), a)))))) | (~((~(mult(mult(c, mult(a, mult(b, b))), a) = mult(c, mult(mult(a, mult(b, b)), a)))) | (~(mult(mult(c, a), mult(a, mult(b, b))) = mult(c, mult(a, mult(a, mult(b, b)))))))))),
% 5.38/5.56 inference(rewrite,[status(thm)],[])).
% 5.38/5.56 tff(9575,plain,
% 5.38/5.56 ((~![X0: $i, X1: $i, X2: $i] : ((~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X2, X1)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X1, X2)))))) | (~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X1, X2)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X2, X1)))))))) | ((~((~(mult(mult(c, mult(a, mult(b, b))), a) = mult(c, mult(a, mult(a, mult(b, b)))))) | (~(mult(mult(c, a), mult(a, mult(b, b))) = mult(c, mult(mult(a, mult(b, b)), a)))))) | (~((~(mult(mult(c, mult(a, mult(b, b))), a) = mult(c, mult(mult(a, mult(b, b)), a)))) | (~(mult(mult(c, a), mult(a, mult(b, b))) = mult(c, mult(a, mult(a, mult(b, b)))))))))),
% 5.38/5.56 inference(quant_inst,[status(thm)],[])).
% 5.38/5.56 tff(9576,plain,
% 5.38/5.56 ((~![X0: $i, X1: $i, X2: $i] : ((~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X2, X1)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X1, X2)))))) | (~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X1, X2)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X2, X1)))))))) | (~((~(mult(mult(c, mult(a, mult(b, b))), a) = mult(c, mult(a, mult(a, mult(b, b)))))) | (~(mult(mult(c, a), mult(a, mult(b, b))) = mult(c, mult(mult(a, mult(b, b)), a)))))) | (~((~(mult(mult(c, mult(a, mult(b, b))), a) = mult(c, mult(mult(a, mult(b, b)), a)))) | (~(mult(mult(c, a), mult(a, mult(b, b))) = mult(c, mult(a, mult(a, mult(b, b))))))))),
% 5.38/5.56 inference(modus_ponens,[status(thm)],[9575, 9574])).
% 5.38/5.56 tff(9577,plain,
% 5.38/5.56 ((~((~(mult(mult(c, mult(a, mult(b, b))), a) = mult(c, mult(a, mult(a, mult(b, b)))))) | (~(mult(mult(c, a), mult(a, mult(b, b))) = mult(c, mult(mult(a, mult(b, b)), a)))))) | (~((~(mult(mult(c, mult(a, mult(b, b))), a) = mult(c, mult(mult(a, mult(b, b)), a)))) | (~(mult(mult(c, a), mult(a, mult(b, b))) = mult(c, mult(a, mult(a, mult(b, b))))))))),
% 5.38/5.56 inference(unit_resolution,[status(thm)],[9576, 30])).
% 5.38/5.56 tff(9578,plain,
% 5.38/5.56 (~((~(mult(mult(c, mult(a, mult(b, b))), a) = mult(c, mult(mult(a, mult(b, b)), a)))) | (~(mult(mult(c, a), mult(a, mult(b, b))) = mult(c, mult(a, mult(a, mult(b, b)))))))),
% 5.38/5.56 inference(unit_resolution,[status(thm)],[9577, 9573])).
% 5.38/5.56 tff(9579,plain,
% 5.38/5.56 (((~(mult(mult(c, mult(a, mult(b, b))), a) = mult(c, mult(mult(a, mult(b, b)), a)))) | (~(mult(mult(c, a), mult(a, mult(b, b))) = mult(c, mult(a, mult(a, mult(b, b))))))) | (mult(mult(c, a), mult(a, mult(b, b))) = mult(c, mult(a, mult(a, mult(b, b)))))),
% 5.38/5.56 inference(tautology,[status(thm)],[])).
% 5.38/5.56 tff(9580,plain,
% 5.38/5.56 (mult(mult(c, a), mult(a, mult(b, b))) = mult(c, mult(a, mult(a, mult(b, b))))),
% 5.38/5.56 inference(unit_resolution,[status(thm)],[9579, 9578])).
% 5.38/5.56 tff(9581,plain,
% 5.38/5.56 (mult(mult(c, a), mult(a, mult(b, b))) = mult(c, mult(mult(a, mult(b, b)), a))),
% 5.38/5.56 inference(transitivity,[status(thm)],[9580, 9562])).
% 5.38/5.56 tff(9582,plain,
% 5.38/5.56 ($false),
% 5.38/5.56 inference(unit_resolution,[status(thm)],[9571, 9581])).
% 5.38/5.56 tff(9583,plain,((~(mult(mult(a, mult(b, b)), a) = mult(a, mult(a, mult(b, b))))) | (mult(mult(c, a), mult(a, mult(b, b))) = mult(c, mult(mult(a, mult(b, b)), a)))), inference(lemma,lemma(discharge,[]))).
% 5.38/5.56 tff(9584,plain,
% 5.38/5.56 (mult(mult(c, a), mult(a, mult(b, b))) = mult(c, mult(mult(a, mult(b, b)), a))),
% 5.38/5.56 inference(unit_resolution,[status(thm)],[9583, 9499])).
% 5.38/5.56 tff(9585,plain,
% 5.38/5.56 (mult(mult(c, a), mult(a, mult(b, b))) = mult(c, mult(a, mult(a, mult(b, b))))),
% 5.38/5.56 inference(modus_ponens,[status(thm)],[9584, 9570])).
% 5.38/5.56 tff(9586,plain,
% 5.38/5.56 (mult(mult(mult(c, a), mult(b, b)), a) = mult(mult(c, a), mult(a, mult(b, b)))),
% 5.38/5.56 inference(modus_ponens,[status(thm)],[9585, 9569])).
% 5.38/5.56 tff(9587,plain,
% 5.38/5.56 (mult(mult(c, a), mult(a, mult(b, b))) = mult(mult(mult(c, a), mult(b, b)), a)),
% 5.38/5.56 inference(symmetry,[status(thm)],[9586])).
% 5.38/5.56 tff(9588,plain,
% 5.38/5.56 (mult(mult(c, a), mult(a, mult(b, b))) = mult(mult(mult(mult(c, a), b), b), a)),
% 5.38/5.56 inference(transitivity,[status(thm)],[9587, 9560])).
% 5.38/5.56 tff(9589,plain,
% 5.38/5.56 (mult(mult(mult(c, a), mult(a, mult(b, b))), a) = mult(mult(mult(mult(mult(c, a), b), b), a), a)),
% 5.38/5.56 inference(monotonicity,[status(thm)],[9588])).
% 5.38/5.56 tff(9590,plain,
% 5.38/5.56 (mult(mult(mult(mult(mult(c, a), b), b), a), a) = mult(mult(mult(c, a), mult(a, mult(b, b))), a)),
% 5.39/5.56 inference(symmetry,[status(thm)],[9589])).
% 5.39/5.56 tff(9591,plain,
% 5.39/5.56 (mult(c, mult(mult(a, mult(b, b)), a)) = mult(mult(mult(c, a), mult(b, b)), a)),
% 5.39/5.56 inference(symmetry,[status(thm)],[9565])).
% 5.39/5.56 tff(9592,plain,
% 5.39/5.56 (mult(c, mult(a, mult(a, mult(b, b)))) = mult(mult(mult(mult(c, a), b), b), a)),
% 5.39/5.56 inference(transitivity,[status(thm)],[9562, 9591, 9560])).
% 5.39/5.56 tff(9593,plain,
% 5.39/5.56 (mult(mult(c, mult(a, mult(a, mult(b, b)))), a) = mult(mult(mult(mult(mult(c, a), b), b), a), a)),
% 5.39/5.56 inference(monotonicity,[status(thm)],[9592])).
% 5.39/5.56 tff(9594,plain,
% 5.39/5.56 (mult(mult(c, mult(a, mult(a, mult(b, b)))), a) = mult(c, mult(mult(a, mult(a, mult(b, b))), a))),
% 5.39/5.56 inference(transitivity,[status(thm)],[9593, 9590, 9497])).
% 5.39/5.56 tff(9595,assumption,(~(mult(mult(c, mult(a, mult(a, mult(b, b)))), a) = mult(c, mult(mult(a, mult(a, mult(b, b))), a)))), introduced(assumption)).
% 5.39/5.56 tff(9596,plain,
% 5.39/5.56 ($false),
% 5.39/5.56 inference(unit_resolution,[status(thm)],[9595, 9594])).
% 5.39/5.56 tff(9597,plain,((mult(mult(c, mult(a, mult(a, mult(b, b)))), a) = mult(c, mult(mult(a, mult(a, mult(b, b))), a))) | (~(mult(mult(a, mult(b, b)), a) = mult(a, mult(a, mult(b, b)))))), inference(lemma,lemma(discharge,[]))).
% 5.39/5.56 tff(9598,plain,
% 5.39/5.56 (mult(mult(c, mult(a, mult(a, mult(b, b)))), a) = mult(c, mult(mult(a, mult(a, mult(b, b))), a))),
% 5.39/5.56 inference(unit_resolution,[status(thm)],[9597, 9499])).
% 5.39/5.56 tff(9599,plain,
% 5.39/5.56 ($false),
% 5.39/5.56 inference(unit_resolution,[status(thm)],[9598, 9545])).
% 5.39/5.56 tff(9600,plain,((mult(mult(c, a), mult(a, mult(a, mult(b, b)))) = mult(c, mult(a, mult(a, mult(a, mult(b, b)))))) | (~(mult(mult(a, mult(b, b)), a) = mult(a, mult(a, mult(b, b)))))), inference(lemma,lemma(discharge,[]))).
% 5.39/5.56 tff(9601,plain,
% 5.39/5.56 (mult(mult(c, a), mult(a, mult(a, mult(b, b)))) = mult(c, mult(a, mult(a, mult(a, mult(b, b)))))),
% 5.39/5.56 inference(unit_resolution,[status(thm)],[9600, 9487])).
% 5.39/5.56 tff(9602,plain,
% 5.39/5.56 (mult(c, mult(a, mult(a, mult(a, mult(b, b))))) = mult(mult(c, a), mult(a, mult(a, mult(b, b))))),
% 5.39/5.56 inference(symmetry,[status(thm)],[9601])).
% 5.39/5.56 tff(9603,plain,
% 5.39/5.56 (mult(c, mult(a, mult(a, mult(a, mult(b, b))))) = mult(c, mult(mult(a, mult(a, mult(b, b))), a))),
% 5.39/5.56 inference(transitivity,[status(thm)],[9602, 9523, 9521, 9497])).
% 5.39/5.56 tff(9604,plain,
% 5.39/5.56 ((mult(mult(c, mult(a, mult(a, mult(b, b)))), a) = mult(c, mult(a, mult(a, mult(a, mult(b, b)))))) <=> (mult(mult(c, mult(a, mult(a, mult(b, b)))), a) = mult(c, mult(mult(a, mult(a, mult(b, b))), a)))),
% 5.39/5.56 inference(monotonicity,[status(thm)],[9603])).
% 5.39/5.56 tff(9605,plain,
% 5.39/5.56 ((mult(mult(c, mult(a, mult(a, mult(b, b)))), a) = mult(c, mult(mult(a, mult(a, mult(b, b))), a))) <=> (mult(mult(c, mult(a, mult(a, mult(b, b)))), a) = mult(c, mult(a, mult(a, mult(a, mult(b, b))))))),
% 5.39/5.56 inference(symmetry,[status(thm)],[9604])).
% 5.39/5.56 tff(9606,plain,
% 5.39/5.56 ((mult(mult(c, mult(a, mult(a, mult(b, b)))), a) = mult(c, mult(mult(a, mult(a, mult(b, b))), a))) <=> (mult(mult(c, mult(mult(a, mult(b, b)), a)), a) = mult(c, mult(a, mult(mult(a, mult(b, b)), a))))),
% 5.39/5.56 inference(transitivity,[status(thm)],[9605, 9493])).
% 5.39/5.56 tff(9607,plain,
% 5.39/5.56 (mult(mult(c, mult(a, mult(a, mult(b, b)))), a) = mult(c, mult(mult(a, mult(a, mult(b, b))), a))),
% 5.39/5.56 inference(unit_resolution,[status(thm)],[9597, 9487])).
% 5.39/5.56 tff(9608,plain,
% 5.39/5.56 (mult(mult(c, mult(mult(a, mult(b, b)), a)), a) = mult(c, mult(a, mult(mult(a, mult(b, b)), a)))),
% 5.39/5.56 inference(modus_ponens,[status(thm)],[9607, 9606])).
% 5.39/5.56 tff(9609,plain,
% 5.39/5.56 ((~![B: $i, A: $i] : (ld(A, mult(A, B)) = B)) | (ld(c, mult(c, mult(mult(a, mult(b, b)), a))) = mult(mult(a, mult(b, b)), a))),
% 5.39/5.56 inference(quant_inst,[status(thm)],[])).
% 5.39/5.56 tff(9610,plain,
% 5.39/5.56 (ld(c, mult(c, mult(mult(a, mult(b, b)), a))) = mult(mult(a, mult(b, b)), a)),
% 5.39/5.56 inference(unit_resolution,[status(thm)],[9609, 9])).
% 5.39/5.56 tff(9611,plain,
% 5.39/5.56 (mult(mult(mult(mult(c, a), b), b), a) = mult(mult(mult(c, a), mult(b, b)), a)),
% 5.39/5.56 inference(symmetry,[status(thm)],[9560])).
% 5.39/5.56 tff(9612,plain,
% 5.39/5.56 ((~![B: $i, A: $i] : (rd(mult(A, B), B) = A)) | (rd(mult(mult(mult(mult(mult(c, a), b), b), a), a), a) = mult(mult(mult(mult(c, a), b), b), a))),
% 5.39/5.56 inference(quant_inst,[status(thm)],[])).
% 5.39/5.56 tff(9613,plain,
% 5.39/5.56 (rd(mult(mult(mult(mult(mult(c, a), b), b), a), a), a) = mult(mult(mult(mult(c, a), b), b), a)),
% 5.39/5.56 inference(unit_resolution,[status(thm)],[9612, 72])).
% 5.39/5.56 tff(9614,plain,
% 5.39/5.56 (mult(c, mult(mult(a, mult(b, b)), a)) = mult(mult(mult(mult(c, a), b), b), a)),
% 5.39/5.56 inference(transitivity,[status(thm)],[9591, 9560])).
% 5.39/5.56 tff(9615,plain,
% 5.39/5.56 (mult(mult(c, mult(mult(a, mult(b, b)), a)), a) = mult(mult(mult(mult(mult(c, a), b), b), a), a)),
% 5.39/5.56 inference(monotonicity,[status(thm)],[9614])).
% 5.39/5.56 tff(9616,assumption,(mult(mult(c, mult(mult(a, mult(b, b)), a)), a) = mult(c, mult(a, mult(mult(a, mult(b, b)), a)))), introduced(assumption)).
% 5.39/5.56 tff(9617,plain,
% 5.39/5.56 (mult(c, mult(a, mult(mult(a, mult(b, b)), a))) = mult(mult(c, mult(mult(a, mult(b, b)), a)), a)),
% 5.39/5.56 inference(symmetry,[status(thm)],[9616])).
% 5.39/5.56 tff(9618,plain,
% 5.39/5.56 ((~![C: $i, B: $i, A: $i] : (mult(mult(mult(A, B), C), B) = mult(A, mult(mult(B, C), B)))) | (mult(mult(mult(a, a), mult(b, b)), a) = mult(a, mult(mult(a, mult(b, b)), a)))),
% 5.39/5.56 inference(quant_inst,[status(thm)],[])).
% 5.39/5.56 tff(9619,plain,
% 5.39/5.56 (mult(mult(mult(a, a), mult(b, b)), a) = mult(a, mult(mult(a, mult(b, b)), a))),
% 5.39/5.56 inference(unit_resolution,[status(thm)],[9618, 860])).
% 5.39/5.56 tff(9620,plain,
% 5.39/5.56 (((~![X0: $i, X1: $i, X2: $i] : ((~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X2, X1)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X1, X2)))))) | (~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X1, X2)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X2, X1)))))))) | (mult(mult(mult(a, a), b), b) = mult(mult(a, a), mult(b, b)))) <=> ((~![X0: $i, X1: $i, X2: $i] : ((~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X2, X1)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X1, X2)))))) | (~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X1, X2)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X2, X1)))))))) | (mult(mult(mult(a, a), b), b) = mult(mult(a, a), mult(b, b))))),
% 5.39/5.56 inference(rewrite,[status(thm)],[])).
% 5.39/5.56 tff(9621,plain,
% 5.39/5.56 (((mult(mult(mult(a, a), b), b) = mult(mult(a, a), mult(b, b))) | (mult(mult(mult(a, a), b), b) = mult(mult(a, a), mult(b, b)))) <=> (mult(mult(mult(a, a), b), b) = mult(mult(a, a), mult(b, b)))),
% 5.39/5.56 inference(rewrite,[status(thm)],[])).
% 5.39/5.56 tff(9622,plain,
% 5.39/5.56 ((~(~(mult(mult(mult(a, a), b), b) = mult(mult(a, a), mult(b, b))))) <=> (mult(mult(mult(a, a), b), b) = mult(mult(a, a), mult(b, b)))),
% 5.39/5.56 inference(rewrite,[status(thm)],[])).
% 5.39/5.56 tff(9623,plain,
% 5.39/5.56 (((~(mult(mult(mult(a, a), b), b) = mult(mult(a, a), mult(b, b)))) | (~(mult(mult(mult(a, a), b), b) = mult(mult(a, a), mult(b, b))))) <=> (~(mult(mult(mult(a, a), b), b) = mult(mult(a, a), mult(b, b))))),
% 5.39/5.56 inference(rewrite,[status(thm)],[])).
% 5.39/5.56 tff(9624,plain,
% 5.39/5.56 ((~((~(mult(mult(mult(a, a), b), b) = mult(mult(a, a), mult(b, b)))) | (~(mult(mult(mult(a, a), b), b) = mult(mult(a, a), mult(b, b)))))) <=> (~(~(mult(mult(mult(a, a), b), b) = mult(mult(a, a), mult(b, b)))))),
% 5.39/5.56 inference(monotonicity,[status(thm)],[9623])).
% 5.39/5.56 tff(9625,plain,
% 5.39/5.56 ((~((~(mult(mult(mult(a, a), b), b) = mult(mult(a, a), mult(b, b)))) | (~(mult(mult(mult(a, a), b), b) = mult(mult(a, a), mult(b, b)))))) <=> (mult(mult(mult(a, a), b), b) = mult(mult(a, a), mult(b, b)))),
% 5.39/5.56 inference(transitivity,[status(thm)],[9624, 9622])).
% 5.39/5.56 tff(9626,plain,
% 5.39/5.56 (((~((~(mult(mult(mult(a, a), b), b) = mult(mult(a, a), mult(b, b)))) | (~(mult(mult(mult(a, a), b), b) = mult(mult(a, a), mult(b, b)))))) | (~((~(mult(mult(mult(a, a), b), b) = mult(mult(a, a), mult(b, b)))) | (~(mult(mult(mult(a, a), b), b) = mult(mult(a, a), mult(b, b))))))) <=> ((mult(mult(mult(a, a), b), b) = mult(mult(a, a), mult(b, b))) | (mult(mult(mult(a, a), b), b) = mult(mult(a, a), mult(b, b))))),
% 5.39/5.56 inference(monotonicity,[status(thm)],[9625, 9625])).
% 5.39/5.56 tff(9627,plain,
% 5.39/5.56 (((~((~(mult(mult(mult(a, a), b), b) = mult(mult(a, a), mult(b, b)))) | (~(mult(mult(mult(a, a), b), b) = mult(mult(a, a), mult(b, b)))))) | (~((~(mult(mult(mult(a, a), b), b) = mult(mult(a, a), mult(b, b)))) | (~(mult(mult(mult(a, a), b), b) = mult(mult(a, a), mult(b, b))))))) <=> (mult(mult(mult(a, a), b), b) = mult(mult(a, a), mult(b, b)))),
% 5.39/5.56 inference(transitivity,[status(thm)],[9626, 9621])).
% 5.39/5.56 tff(9628,plain,
% 5.39/5.56 (((~![X0: $i, X1: $i, X2: $i] : ((~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X2, X1)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X1, X2)))))) | (~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X1, X2)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X2, X1)))))))) | ((~((~(mult(mult(mult(a, a), b), b) = mult(mult(a, a), mult(b, b)))) | (~(mult(mult(mult(a, a), b), b) = mult(mult(a, a), mult(b, b)))))) | (~((~(mult(mult(mult(a, a), b), b) = mult(mult(a, a), mult(b, b)))) | (~(mult(mult(mult(a, a), b), b) = mult(mult(a, a), mult(b, b)))))))) <=> ((~![X0: $i, X1: $i, X2: $i] : ((~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X2, X1)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X1, X2)))))) | (~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X1, X2)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X2, X1)))))))) | (mult(mult(mult(a, a), b), b) = mult(mult(a, a), mult(b, b))))),
% 5.39/5.56 inference(monotonicity,[status(thm)],[9627])).
% 5.39/5.56 tff(9629,plain,
% 5.39/5.56 (((~![X0: $i, X1: $i, X2: $i] : ((~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X2, X1)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X1, X2)))))) | (~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X1, X2)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X2, X1)))))))) | ((~((~(mult(mult(mult(a, a), b), b) = mult(mult(a, a), mult(b, b)))) | (~(mult(mult(mult(a, a), b), b) = mult(mult(a, a), mult(b, b)))))) | (~((~(mult(mult(mult(a, a), b), b) = mult(mult(a, a), mult(b, b)))) | (~(mult(mult(mult(a, a), b), b) = mult(mult(a, a), mult(b, b)))))))) <=> ((~![X0: $i, X1: $i, X2: $i] : ((~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X2, X1)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X1, X2)))))) | (~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X1, X2)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X2, X1)))))))) | (mult(mult(mult(a, a), b), b) = mult(mult(a, a), mult(b, b))))),
% 5.39/5.56 inference(transitivity,[status(thm)],[9628, 9620])).
% 5.39/5.56 tff(9630,plain,
% 5.39/5.56 ((~![X0: $i, X1: $i, X2: $i] : ((~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X2, X1)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X1, X2)))))) | (~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X1, X2)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X2, X1)))))))) | ((~((~(mult(mult(mult(a, a), b), b) = mult(mult(a, a), mult(b, b)))) | (~(mult(mult(mult(a, a), b), b) = mult(mult(a, a), mult(b, b)))))) | (~((~(mult(mult(mult(a, a), b), b) = mult(mult(a, a), mult(b, b)))) | (~(mult(mult(mult(a, a), b), b) = mult(mult(a, a), mult(b, b)))))))),
% 5.39/5.56 inference(quant_inst,[status(thm)],[])).
% 5.39/5.56 tff(9631,plain,
% 5.39/5.56 ((~![X0: $i, X1: $i, X2: $i] : ((~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X2, X1)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X1, X2)))))) | (~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X1, X2)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X2, X1)))))))) | (mult(mult(mult(a, a), b), b) = mult(mult(a, a), mult(b, b)))),
% 5.39/5.56 inference(modus_ponens,[status(thm)],[9630, 9629])).
% 5.39/5.56 tff(9632,plain,
% 5.39/5.56 (mult(mult(mult(a, a), b), b) = mult(mult(a, a), mult(b, b))),
% 5.39/5.56 inference(unit_resolution,[status(thm)],[9631, 30])).
% 5.39/5.56 tff(9633,plain,
% 5.39/5.56 (mult(mult(mult(mult(a, a), b), b), a) = mult(mult(mult(a, a), mult(b, b)), a)),
% 5.39/5.56 inference(monotonicity,[status(thm)],[9632])).
% 5.39/5.56 tff(9634,plain,
% 5.39/5.56 (mult(mult(mult(mult(a, a), b), b), a) = mult(a, mult(mult(a, mult(b, b)), a))),
% 5.39/5.56 inference(transitivity,[status(thm)],[9633, 9619])).
% 5.39/5.56 tff(9635,plain,
% 5.39/5.56 (mult(c, mult(mult(mult(mult(a, a), b), b), a)) = mult(c, mult(a, mult(mult(a, mult(b, b)), a)))),
% 5.39/5.56 inference(monotonicity,[status(thm)],[9634])).
% 5.39/5.56 tff(9636,assumption,(mult(mult(c, mult(mult(mult(a, a), b), b)), a) = mult(c, mult(mult(mult(mult(a, a), b), b), a))), introduced(assumption)).
% 5.39/5.56 tff(9637,plain,
% 5.39/5.56 (mult(mult(c, mult(mult(mult(a, a), b), b)), a) = mult(mult(mult(mult(mult(c, a), b), b), a), a)),
% 5.39/5.56 inference(transitivity,[status(thm)],[9636, 9635, 9617, 9615])).
% 5.39/5.56 tff(9638,plain,
% 5.39/5.56 (rd(mult(mult(c, mult(mult(mult(a, a), b), b)), a), a) = rd(mult(mult(mult(mult(mult(c, a), b), b), a), a), a)),
% 5.39/5.56 inference(monotonicity,[status(thm)],[9637])).
% 5.39/5.56 tff(9639,plain,
% 5.39/5.56 ((~![B: $i, A: $i] : (rd(mult(A, B), B) = A)) | (rd(mult(mult(c, mult(mult(mult(a, a), b), b)), a), a) = mult(c, mult(mult(mult(a, a), b), b)))),
% 5.39/5.56 inference(quant_inst,[status(thm)],[])).
% 5.39/5.56 tff(9640,plain,
% 5.39/5.56 (rd(mult(mult(c, mult(mult(mult(a, a), b), b)), a), a) = mult(c, mult(mult(mult(a, a), b), b))),
% 5.39/5.56 inference(unit_resolution,[status(thm)],[9639, 72])).
% 5.39/5.56 tff(9641,plain,
% 5.39/5.56 (mult(c, mult(mult(mult(a, a), b), b)) = rd(mult(mult(c, mult(mult(mult(a, a), b), b)), a), a)),
% 5.39/5.56 inference(symmetry,[status(thm)],[9640])).
% 5.39/5.56 tff(9642,plain,
% 5.39/5.56 (mult(c, mult(mult(mult(a, a), b), b)) = mult(c, mult(mult(a, mult(b, b)), a))),
% 5.39/5.56 inference(transitivity,[status(thm)],[9641, 9638, 9613, 9611, 9565])).
% 5.39/5.56 tff(9643,plain,
% 5.39/5.56 (ld(c, mult(c, mult(mult(mult(a, a), b), b))) = ld(c, mult(c, mult(mult(a, mult(b, b)), a)))),
% 5.39/5.56 inference(monotonicity,[status(thm)],[9642])).
% 5.39/5.56 tff(9644,plain,
% 5.39/5.56 (mult(mult(a, a), mult(b, b)) = mult(mult(mult(a, a), b), b)),
% 5.39/5.56 inference(symmetry,[status(thm)],[9632])).
% 5.39/5.56 tff(9645,plain,
% 5.39/5.56 (mult(mult(a, a), mult(b, b)) = mult(a, mult(a, mult(b, b)))),
% 5.39/5.56 inference(transitivity,[status(thm)],[9644, 8665, 9643, 9610, 9487])).
% 5.39/5.56 tff(9646,plain,
% 5.39/5.56 ($false),
% 5.39/5.56 inference(unit_resolution,[status(thm)],[9471, 9645])).
% 5.39/5.56 tff(9647,plain,((~(mult(mult(c, mult(mult(mult(a, a), b), b)), a) = mult(c, mult(mult(mult(mult(a, a), b), b), a)))) | (mult(mult(a, a), mult(b, b)) = mult(a, mult(a, mult(b, b)))) | (~(mult(mult(c, mult(mult(a, mult(b, b)), a)), a) = mult(c, mult(a, mult(mult(a, mult(b, b)), a)))))), inference(lemma,lemma(discharge,[]))).
% 5.39/5.56 tff(9648,plain,
% 5.39/5.56 (~(mult(mult(c, mult(mult(mult(a, a), b), b)), a) = mult(c, mult(mult(mult(mult(a, a), b), b), a)))),
% 5.39/5.56 inference(unit_resolution,[status(thm)],[9647, 9608, 9471])).
% 5.39/5.56 tff(9649,plain,
% 5.39/5.56 (((~(mult(mult(c, a), mult(mult(mult(a, a), b), b)) = mult(c, mult(a, mult(mult(mult(a, a), b), b))))) | (~(mult(mult(c, mult(mult(mult(a, a), b), b)), a) = mult(c, mult(mult(mult(mult(a, a), b), b), a))))) | (mult(mult(c, mult(mult(mult(a, a), b), b)), a) = mult(c, mult(mult(mult(mult(a, a), b), b), a)))),
% 5.39/5.56 inference(tautology,[status(thm)],[])).
% 5.39/5.56 tff(9650,plain,
% 5.39/5.56 ((~(mult(mult(c, a), mult(mult(mult(a, a), b), b)) = mult(c, mult(a, mult(mult(mult(a, a), b), b))))) | (~(mult(mult(c, mult(mult(mult(a, a), b), b)), a) = mult(c, mult(mult(mult(mult(a, a), b), b), a))))),
% 5.39/5.56 inference(unit_resolution,[status(thm)],[9649, 9648])).
% 5.39/5.56 tff(9651,plain,
% 5.39/5.56 (((~![X0: $i, X1: $i, X2: $i] : ((~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X2, X1)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X1, X2)))))) | (~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X1, X2)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X2, X1)))))))) | ((~((~(mult(mult(c, a), mult(mult(mult(a, a), b), b)) = mult(c, mult(mult(mult(mult(a, a), b), b), a)))) | (~(mult(mult(c, mult(mult(mult(a, a), b), b)), a) = mult(c, mult(a, mult(mult(mult(a, a), b), b))))))) | (~((~(mult(mult(c, a), mult(mult(mult(a, a), b), b)) = mult(c, mult(a, mult(mult(mult(a, a), b), b))))) | (~(mult(mult(c, mult(mult(mult(a, a), b), b)), a) = mult(c, mult(mult(mult(mult(a, a), b), b), a)))))))) <=> ((~![X0: $i, X1: $i, X2: $i] : ((~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X2, X1)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X1, X2)))))) | (~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X1, X2)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X2, X1)))))))) | (~((~(mult(mult(c, a), mult(mult(mult(a, a), b), b)) = mult(c, mult(mult(mult(mult(a, a), b), b), a)))) | (~(mult(mult(c, mult(mult(mult(a, a), b), b)), a) = mult(c, mult(a, mult(mult(mult(a, a), b), b))))))) | (~((~(mult(mult(c, a), mult(mult(mult(a, a), b), b)) = mult(c, mult(a, mult(mult(mult(a, a), b), b))))) | (~(mult(mult(c, mult(mult(mult(a, a), b), b)), a) = mult(c, mult(mult(mult(mult(a, a), b), b), a)))))))),
% 5.39/5.56 inference(rewrite,[status(thm)],[])).
% 5.39/5.56 tff(9652,plain,
% 5.39/5.56 (((~((~(mult(mult(c, a), mult(mult(mult(a, a), b), b)) = mult(c, mult(mult(mult(mult(a, a), b), b), a)))) | (~(mult(mult(c, mult(mult(mult(a, a), b), b)), a) = mult(c, mult(a, mult(mult(mult(a, a), b), b))))))) | (~((~(mult(mult(c, a), mult(mult(mult(a, a), b), b)) = mult(c, mult(a, mult(mult(mult(a, a), b), b))))) | (~(mult(mult(c, mult(mult(mult(a, a), b), b)), a) = mult(c, mult(mult(mult(mult(a, a), b), b), a))))))) <=> ((~((~(mult(mult(c, a), mult(mult(mult(a, a), b), b)) = mult(c, mult(mult(mult(mult(a, a), b), b), a)))) | (~(mult(mult(c, mult(mult(mult(a, a), b), b)), a) = mult(c, mult(a, mult(mult(mult(a, a), b), b))))))) | (~((~(mult(mult(c, a), mult(mult(mult(a, a), b), b)) = mult(c, mult(a, mult(mult(mult(a, a), b), b))))) | (~(mult(mult(c, mult(mult(mult(a, a), b), b)), a) = mult(c, mult(mult(mult(mult(a, a), b), b), a)))))))),
% 5.39/5.57 inference(rewrite,[status(thm)],[])).
% 5.39/5.57 tff(9653,plain,
% 5.39/5.57 ((~((~(mult(mult(c, mult(mult(mult(a, a), b), b)), a) = mult(c, mult(mult(mult(mult(a, a), b), b), a)))) | (~(mult(mult(c, a), mult(mult(mult(a, a), b), b)) = mult(c, mult(a, mult(mult(mult(a, a), b), b))))))) <=> (~((~(mult(mult(c, a), mult(mult(mult(a, a), b), b)) = mult(c, mult(a, mult(mult(mult(a, a), b), b))))) | (~(mult(mult(c, mult(mult(mult(a, a), b), b)), a) = mult(c, mult(mult(mult(mult(a, a), b), b), a))))))),
% 5.39/5.57 inference(rewrite,[status(thm)],[])).
% 5.39/5.57 tff(9654,plain,
% 5.39/5.57 ((~((~(mult(mult(c, mult(mult(mult(a, a), b), b)), a) = mult(c, mult(a, mult(mult(mult(a, a), b), b))))) | (~(mult(mult(c, a), mult(mult(mult(a, a), b), b)) = mult(c, mult(mult(mult(mult(a, a), b), b), a)))))) <=> (~((~(mult(mult(c, a), mult(mult(mult(a, a), b), b)) = mult(c, mult(mult(mult(mult(a, a), b), b), a)))) | (~(mult(mult(c, mult(mult(mult(a, a), b), b)), a) = mult(c, mult(a, mult(mult(mult(a, a), b), b)))))))),
% 5.39/5.57 inference(rewrite,[status(thm)],[])).
% 5.39/5.57 tff(9655,plain,
% 5.39/5.57 (((~((~(mult(mult(c, mult(mult(mult(a, a), b), b)), a) = mult(c, mult(a, mult(mult(mult(a, a), b), b))))) | (~(mult(mult(c, a), mult(mult(mult(a, a), b), b)) = mult(c, mult(mult(mult(mult(a, a), b), b), a)))))) | (~((~(mult(mult(c, mult(mult(mult(a, a), b), b)), a) = mult(c, mult(mult(mult(mult(a, a), b), b), a)))) | (~(mult(mult(c, a), mult(mult(mult(a, a), b), b)) = mult(c, mult(a, mult(mult(mult(a, a), b), b)))))))) <=> ((~((~(mult(mult(c, a), mult(mult(mult(a, a), b), b)) = mult(c, mult(mult(mult(mult(a, a), b), b), a)))) | (~(mult(mult(c, mult(mult(mult(a, a), b), b)), a) = mult(c, mult(a, mult(mult(mult(a, a), b), b))))))) | (~((~(mult(mult(c, a), mult(mult(mult(a, a), b), b)) = mult(c, mult(a, mult(mult(mult(a, a), b), b))))) | (~(mult(mult(c, mult(mult(mult(a, a), b), b)), a) = mult(c, mult(mult(mult(mult(a, a), b), b), a)))))))),
% 5.39/5.57 inference(monotonicity,[status(thm)],[9654, 9653])).
% 5.39/5.57 tff(9656,plain,
% 5.39/5.57 (((~((~(mult(mult(c, mult(mult(mult(a, a), b), b)), a) = mult(c, mult(a, mult(mult(mult(a, a), b), b))))) | (~(mult(mult(c, a), mult(mult(mult(a, a), b), b)) = mult(c, mult(mult(mult(mult(a, a), b), b), a)))))) | (~((~(mult(mult(c, mult(mult(mult(a, a), b), b)), a) = mult(c, mult(mult(mult(mult(a, a), b), b), a)))) | (~(mult(mult(c, a), mult(mult(mult(a, a), b), b)) = mult(c, mult(a, mult(mult(mult(a, a), b), b)))))))) <=> ((~((~(mult(mult(c, a), mult(mult(mult(a, a), b), b)) = mult(c, mult(mult(mult(mult(a, a), b), b), a)))) | (~(mult(mult(c, mult(mult(mult(a, a), b), b)), a) = mult(c, mult(a, mult(mult(mult(a, a), b), b))))))) | (~((~(mult(mult(c, a), mult(mult(mult(a, a), b), b)) = mult(c, mult(a, mult(mult(mult(a, a), b), b))))) | (~(mult(mult(c, mult(mult(mult(a, a), b), b)), a) = mult(c, mult(mult(mult(mult(a, a), b), b), a)))))))),
% 5.39/5.57 inference(transitivity,[status(thm)],[9655, 9652])).
% 5.39/5.57 tff(9657,plain,
% 5.39/5.57 (((~![X0: $i, X1: $i, X2: $i] : ((~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X2, X1)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X1, X2)))))) | (~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X1, X2)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X2, X1)))))))) | ((~((~(mult(mult(c, mult(mult(mult(a, a), b), b)), a) = mult(c, mult(a, mult(mult(mult(a, a), b), b))))) | (~(mult(mult(c, a), mult(mult(mult(a, a), b), b)) = mult(c, mult(mult(mult(mult(a, a), b), b), a)))))) | (~((~(mult(mult(c, mult(mult(mult(a, a), b), b)), a) = mult(c, mult(mult(mult(mult(a, a), b), b), a)))) | (~(mult(mult(c, a), mult(mult(mult(a, a), b), b)) = mult(c, mult(a, mult(mult(mult(a, a), b), b))))))))) <=> ((~![X0: $i, X1: $i, X2: $i] : ((~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X2, X1)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X1, X2)))))) | (~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X1, X2)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X2, X1)))))))) | ((~((~(mult(mult(c, a), mult(mult(mult(a, a), b), b)) = mult(c, mult(mult(mult(mult(a, a), b), b), a)))) | (~(mult(mult(c, mult(mult(mult(a, a), b), b)), a) = mult(c, mult(a, mult(mult(mult(a, a), b), b))))))) | (~((~(mult(mult(c, a), mult(mult(mult(a, a), b), b)) = mult(c, mult(a, mult(mult(mult(a, a), b), b))))) | (~(mult(mult(c, mult(mult(mult(a, a), b), b)), a) = mult(c, mult(mult(mult(mult(a, a), b), b), a))))))))),
% 5.39/5.57 inference(monotonicity,[status(thm)],[9656])).
% 5.39/5.57 tff(9658,plain,
% 5.39/5.57 (((~![X0: $i, X1: $i, X2: $i] : ((~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X2, X1)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X1, X2)))))) | (~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X1, X2)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X2, X1)))))))) | ((~((~(mult(mult(c, mult(mult(mult(a, a), b), b)), a) = mult(c, mult(a, mult(mult(mult(a, a), b), b))))) | (~(mult(mult(c, a), mult(mult(mult(a, a), b), b)) = mult(c, mult(mult(mult(mult(a, a), b), b), a)))))) | (~((~(mult(mult(c, mult(mult(mult(a, a), b), b)), a) = mult(c, mult(mult(mult(mult(a, a), b), b), a)))) | (~(mult(mult(c, a), mult(mult(mult(a, a), b), b)) = mult(c, mult(a, mult(mult(mult(a, a), b), b))))))))) <=> ((~![X0: $i, X1: $i, X2: $i] : ((~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X2, X1)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X1, X2)))))) | (~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X1, X2)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X2, X1)))))))) | (~((~(mult(mult(c, a), mult(mult(mult(a, a), b), b)) = mult(c, mult(mult(mult(mult(a, a), b), b), a)))) | (~(mult(mult(c, mult(mult(mult(a, a), b), b)), a) = mult(c, mult(a, mult(mult(mult(a, a), b), b))))))) | (~((~(mult(mult(c, a), mult(mult(mult(a, a), b), b)) = mult(c, mult(a, mult(mult(mult(a, a), b), b))))) | (~(mult(mult(c, mult(mult(mult(a, a), b), b)), a) = mult(c, mult(mult(mult(mult(a, a), b), b), a)))))))),
% 5.39/5.57 inference(transitivity,[status(thm)],[9657, 9651])).
% 5.39/5.57 tff(9659,plain,
% 5.39/5.57 ((~![X0: $i, X1: $i, X2: $i] : ((~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X2, X1)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X1, X2)))))) | (~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X1, X2)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X2, X1)))))))) | ((~((~(mult(mult(c, mult(mult(mult(a, a), b), b)), a) = mult(c, mult(a, mult(mult(mult(a, a), b), b))))) | (~(mult(mult(c, a), mult(mult(mult(a, a), b), b)) = mult(c, mult(mult(mult(mult(a, a), b), b), a)))))) | (~((~(mult(mult(c, mult(mult(mult(a, a), b), b)), a) = mult(c, mult(mult(mult(mult(a, a), b), b), a)))) | (~(mult(mult(c, a), mult(mult(mult(a, a), b), b)) = mult(c, mult(a, mult(mult(mult(a, a), b), b))))))))),
% 5.39/5.57 inference(quant_inst,[status(thm)],[])).
% 5.39/5.57 tff(9660,plain,
% 5.39/5.57 ((~![X0: $i, X1: $i, X2: $i] : ((~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X2, X1)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X1, X2)))))) | (~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X1, X2)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X2, X1)))))))) | (~((~(mult(mult(c, a), mult(mult(mult(a, a), b), b)) = mult(c, mult(mult(mult(mult(a, a), b), b), a)))) | (~(mult(mult(c, mult(mult(mult(a, a), b), b)), a) = mult(c, mult(a, mult(mult(mult(a, a), b), b))))))) | (~((~(mult(mult(c, a), mult(mult(mult(a, a), b), b)) = mult(c, mult(a, mult(mult(mult(a, a), b), b))))) | (~(mult(mult(c, mult(mult(mult(a, a), b), b)), a) = mult(c, mult(mult(mult(mult(a, a), b), b), a))))))),
% 5.39/5.57 inference(modus_ponens,[status(thm)],[9659, 9658])).
% 5.39/5.57 tff(9661,plain,
% 5.39/5.57 ((~((~(mult(mult(c, a), mult(mult(mult(a, a), b), b)) = mult(c, mult(mult(mult(mult(a, a), b), b), a)))) | (~(mult(mult(c, mult(mult(mult(a, a), b), b)), a) = mult(c, mult(a, mult(mult(mult(a, a), b), b))))))) | (~((~(mult(mult(c, a), mult(mult(mult(a, a), b), b)) = mult(c, mult(a, mult(mult(mult(a, a), b), b))))) | (~(mult(mult(c, mult(mult(mult(a, a), b), b)), a) = mult(c, mult(mult(mult(mult(a, a), b), b), a))))))),
% 5.39/5.57 inference(unit_resolution,[status(thm)],[9660, 30])).
% 5.39/5.57 tff(9662,plain,
% 5.39/5.57 (~((~(mult(mult(c, a), mult(mult(mult(a, a), b), b)) = mult(c, mult(mult(mult(mult(a, a), b), b), a)))) | (~(mult(mult(c, mult(mult(mult(a, a), b), b)), a) = mult(c, mult(a, mult(mult(mult(a, a), b), b))))))),
% 5.39/5.57 inference(unit_resolution,[status(thm)],[9661, 9650])).
% 5.39/5.57 tff(9663,plain,
% 5.39/5.57 (((~(mult(mult(c, a), mult(mult(mult(a, a), b), b)) = mult(c, mult(mult(mult(mult(a, a), b), b), a)))) | (~(mult(mult(c, mult(mult(mult(a, a), b), b)), a) = mult(c, mult(a, mult(mult(mult(a, a), b), b)))))) | (mult(mult(c, mult(mult(mult(a, a), b), b)), a) = mult(c, mult(a, mult(mult(mult(a, a), b), b))))),
% 5.39/5.57 inference(tautology,[status(thm)],[])).
% 5.39/5.57 tff(9664,plain,
% 5.39/5.57 (mult(mult(c, mult(mult(mult(a, a), b), b)), a) = mult(c, mult(a, mult(mult(mult(a, a), b), b)))),
% 5.39/5.57 inference(unit_resolution,[status(thm)],[9663, 9662])).
% 5.39/5.57 tff(9665,plain,
% 5.39/5.57 (mult(mult(mult(mult(c, b), a), a), b) = mult(mult(mult(c, b), mult(a, a)), b)),
% 5.39/5.57 inference(monotonicity,[status(thm)],[4501])).
% 5.39/5.57 tff(9666,plain,
% 5.39/5.57 (mult(mult(mult(c, b), mult(a, a)), b) = mult(mult(mult(mult(c, b), a), a), b)),
% 5.39/5.57 inference(symmetry,[status(thm)],[9665])).
% 5.39/5.57 tff(9667,plain,
% 5.39/5.57 ((~![B: $i, A: $i] : (ld(A, mult(A, B)) = B)) | (ld(mult(mult(c, a), b), mult(mult(mult(c, a), b), mult(mult(a, a), b))) = mult(mult(a, a), b))),
% 5.39/5.57 inference(quant_inst,[status(thm)],[])).
% 5.39/5.57 tff(9668,plain,
% 5.39/5.57 (ld(mult(mult(c, a), b), mult(mult(mult(c, a), b), mult(mult(a, a), b))) = mult(mult(a, a), b)),
% 5.39/5.57 inference(unit_resolution,[status(thm)],[9667, 9])).
% 5.39/5.57 tff(9669,plain,
% 5.39/5.57 ((mult(c, mult(a, mult(mult(mult(a, a), b), b))) = mult(mult(c, a), mult(mult(mult(a, a), b), b))) <=> (mult(mult(c, a), mult(mult(mult(a, a), b), b)) = mult(c, mult(a, mult(mult(mult(a, a), b), b))))),
% 5.39/5.57 inference(commutativity,[status(thm)],[])).
% 5.39/5.57 tff(9670,plain,
% 5.39/5.57 (((~(mult(mult(c, a), mult(mult(mult(a, a), b), b)) = mult(c, mult(mult(mult(mult(a, a), b), b), a)))) | (~(mult(mult(c, mult(mult(mult(a, a), b), b)), a) = mult(c, mult(a, mult(mult(mult(a, a), b), b)))))) | (mult(mult(c, a), mult(mult(mult(a, a), b), b)) = mult(c, mult(mult(mult(mult(a, a), b), b), a)))),
% 5.39/5.57 inference(tautology,[status(thm)],[])).
% 5.39/5.57 tff(9671,plain,
% 5.39/5.57 (mult(mult(c, a), mult(mult(mult(a, a), b), b)) = mult(c, mult(mult(mult(mult(a, a), b), b), a))),
% 5.39/5.57 inference(unit_resolution,[status(thm)],[9670, 9662])).
% 5.39/5.57 tff(9672,plain,
% 5.39/5.57 (mult(c, mult(mult(mult(mult(a, a), b), b), a)) = mult(mult(c, a), mult(mult(mult(a, a), b), b))),
% 5.39/5.57 inference(symmetry,[status(thm)],[9671])).
% 5.39/5.57 tff(9673,plain,
% 5.39/5.57 ((mult(mult(c, mult(mult(mult(a, a), b), b)), a) = mult(c, mult(mult(mult(mult(a, a), b), b), a))) <=> (mult(c, mult(a, mult(mult(mult(a, a), b), b))) = mult(mult(c, a), mult(mult(mult(a, a), b), b)))),
% 5.39/5.57 inference(monotonicity,[status(thm)],[9664, 9672])).
% 5.39/5.57 tff(9674,plain,
% 5.39/5.57 ((mult(mult(c, mult(mult(mult(a, a), b), b)), a) = mult(c, mult(mult(mult(mult(a, a), b), b), a))) <=> (mult(mult(c, a), mult(mult(mult(a, a), b), b)) = mult(c, mult(a, mult(mult(mult(a, a), b), b))))),
% 5.39/5.57 inference(transitivity,[status(thm)],[9673, 9669])).
% 5.39/5.57 tff(9675,plain,
% 5.39/5.57 ((~(mult(mult(c, mult(mult(mult(a, a), b), b)), a) = mult(c, mult(mult(mult(mult(a, a), b), b), a)))) <=> (~(mult(mult(c, a), mult(mult(mult(a, a), b), b)) = mult(c, mult(a, mult(mult(mult(a, a), b), b)))))),
% 5.39/5.57 inference(monotonicity,[status(thm)],[9674])).
% 5.39/5.57 tff(9676,plain,
% 5.39/5.57 (~(mult(mult(c, a), mult(mult(mult(a, a), b), b)) = mult(c, mult(a, mult(mult(mult(a, a), b), b))))),
% 5.39/5.57 inference(modus_ponens,[status(thm)],[9648, 9675])).
% 5.39/5.57 tff(9677,plain,
% 5.39/5.57 (mult(a, mult(a, mult(a, mult(b, b)))) = mult(a, mult(mult(a, mult(b, b)), a))),
% 5.39/5.57 inference(monotonicity,[status(thm)],[9525])).
% 5.39/5.57 tff(9678,plain,
% 5.39/5.57 (mult(a, mult(mult(a, mult(b, b)), a)) = mult(a, mult(a, mult(a, mult(b, b))))),
% 5.39/5.58 inference(symmetry,[status(thm)],[9677])).
% 5.39/5.58 tff(9679,plain,
% 5.39/5.58 (mult(c, mult(a, mult(mult(a, mult(b, b)), a))) = mult(c, mult(a, mult(a, mult(a, mult(b, b)))))),
% 5.39/5.58 inference(monotonicity,[status(thm)],[9678])).
% 5.39/5.58 tff(9680,plain,
% 5.39/5.58 ((mult(mult(c, a), mult(mult(a, mult(b, b)), a)) = mult(c, mult(a, mult(mult(a, mult(b, b)), a)))) <=> (mult(mult(c, a), mult(a, mult(a, mult(b, b)))) = mult(c, mult(a, mult(a, mult(a, mult(b, b))))))),
% 5.39/5.58 inference(monotonicity,[status(thm)],[9527, 9679])).
% 5.39/5.58 tff(9681,plain,
% 5.39/5.58 ((mult(mult(c, a), mult(a, mult(a, mult(b, b)))) = mult(c, mult(a, mult(a, mult(a, mult(b, b)))))) <=> (mult(mult(c, a), mult(mult(a, mult(b, b)), a)) = mult(c, mult(a, mult(mult(a, mult(b, b)), a))))),
% 5.39/5.58 inference(symmetry,[status(thm)],[9680])).
% 5.39/5.58 tff(9682,assumption,(mult(mult(c, a), mult(a, mult(a, mult(b, b)))) = mult(c, mult(a, mult(a, mult(a, mult(b, b)))))), introduced(assumption)).
% 5.39/5.58 tff(9683,plain,
% 5.39/5.58 (mult(mult(c, a), mult(mult(a, mult(b, b)), a)) = mult(c, mult(a, mult(mult(a, mult(b, b)), a)))),
% 5.39/5.58 inference(modus_ponens,[status(thm)],[9682, 9681])).
% 5.39/5.58 tff(9684,assumption,(~(mult(mult(c, a), mult(mult(a, mult(b, b)), a)) = mult(c, mult(a, mult(mult(a, mult(b, b)), a))))), introduced(assumption)).
% 5.39/5.58 tff(9685,plain,
% 5.39/5.58 ($false),
% 5.39/5.58 inference(unit_resolution,[status(thm)],[9684, 9683])).
% 5.39/5.58 tff(9686,plain,((~(mult(mult(c, a), mult(a, mult(a, mult(b, b)))) = mult(c, mult(a, mult(a, mult(a, mult(b, b))))))) | (mult(mult(c, a), mult(mult(a, mult(b, b)), a)) = mult(c, mult(a, mult(mult(a, mult(b, b)), a)))) | (~(mult(mult(a, mult(b, b)), a) = mult(a, mult(a, mult(b, b)))))), inference(lemma,lemma(discharge,[]))).
% 5.39/5.58 tff(9687,plain,
% 5.39/5.58 (mult(mult(c, a), mult(mult(a, mult(b, b)), a)) = mult(c, mult(a, mult(mult(a, mult(b, b)), a)))),
% 5.39/5.58 inference(unit_resolution,[status(thm)],[9686, 9601, 9487])).
% 5.39/5.58 tff(9688,plain,
% 5.39/5.58 (mult(mult(mult(a, mult(b, b)), a), a) = mult(mult(a, mult(a, mult(b, b))), a)),
% 5.39/5.58 inference(monotonicity,[status(thm)],[9487])).
% 5.39/5.58 tff(9689,plain,
% 5.39/5.58 (mult(c, mult(mult(mult(a, mult(b, b)), a), a)) = mult(c, mult(mult(a, mult(a, mult(b, b))), a))),
% 5.39/5.58 inference(monotonicity,[status(thm)],[9688])).
% 5.39/5.58 tff(9690,plain,
% 5.39/5.58 ((mult(mult(c, mult(mult(a, mult(b, b)), a)), a) = mult(c, mult(mult(mult(a, mult(b, b)), a), a))) <=> (mult(mult(c, mult(a, mult(a, mult(b, b)))), a) = mult(c, mult(mult(a, mult(a, mult(b, b))), a)))),
% 5.39/5.58 inference(monotonicity,[status(thm)],[9491, 9689])).
% 5.39/5.58 tff(9691,plain,
% 5.39/5.58 ((mult(mult(c, mult(a, mult(a, mult(b, b)))), a) = mult(c, mult(mult(a, mult(a, mult(b, b))), a))) <=> (mult(mult(c, mult(mult(a, mult(b, b)), a)), a) = mult(c, mult(mult(mult(a, mult(b, b)), a), a)))),
% 5.39/5.58 inference(symmetry,[status(thm)],[9690])).
% 5.39/5.58 tff(9692,plain,
% 5.39/5.58 (mult(mult(c, mult(mult(a, mult(b, b)), a)), a) = mult(c, mult(mult(mult(a, mult(b, b)), a), a))),
% 5.39/5.58 inference(modus_ponens,[status(thm)],[9607, 9691])).
% 5.39/5.58 tff(9693,plain,
% 5.39/5.58 ((~((~(mult(mult(c, a), mult(mult(a, mult(b, b)), a)) = mult(c, mult(a, mult(mult(a, mult(b, b)), a))))) | (~(mult(mult(c, mult(mult(a, mult(b, b)), a)), a) = mult(c, mult(mult(mult(a, mult(b, b)), a), a)))))) | (~(mult(mult(c, a), mult(mult(a, mult(b, b)), a)) = mult(c, mult(a, mult(mult(a, mult(b, b)), a))))) | (~(mult(mult(c, mult(mult(a, mult(b, b)), a)), a) = mult(c, mult(mult(mult(a, mult(b, b)), a), a))))),
% 5.39/5.58 inference(tautology,[status(thm)],[])).
% 5.39/5.58 tff(9694,plain,
% 5.39/5.58 (~((~(mult(mult(c, a), mult(mult(a, mult(b, b)), a)) = mult(c, mult(a, mult(mult(a, mult(b, b)), a))))) | (~(mult(mult(c, mult(mult(a, mult(b, b)), a)), a) = mult(c, mult(mult(mult(a, mult(b, b)), a), a)))))),
% 5.39/5.58 inference(unit_resolution,[status(thm)],[9693, 9692, 9687])).
% 5.39/5.58 tff(9695,assumption,(~(mult(mult(c, a), mult(mult(mult(a, a), b), b)) = mult(c, mult(a, mult(mult(mult(a, a), b), b))))), introduced(assumption)).
% 5.39/5.58 tff(9696,assumption,(mult(mult(c, mult(mult(mult(a, a), b), b)), a) = mult(c, mult(a, mult(mult(mult(a, a), b), b)))), introduced(assumption)).
% 5.39/5.58 tff(9697,assumption,(mult(mult(c, a), mult(mult(mult(a, a), b), b)) = mult(c, mult(mult(mult(mult(a, a), b), b), a))), introduced(assumption)).
% 5.39/5.58 tff(9698,assumption,(~((~(mult(mult(c, a), mult(mult(a, mult(b, b)), a)) = mult(c, mult(a, mult(mult(a, mult(b, b)), a))))) | (~(mult(mult(c, mult(mult(a, mult(b, b)), a)), a) = mult(c, mult(mult(mult(a, mult(b, b)), a), a)))))), introduced(assumption)).
% 5.39/5.58 tff(9699,plain,
% 5.39/5.58 ((mult(mult(c, a), mult(mult(mult(a, a), b), b)) = mult(mult(mult(c, a), b), mult(mult(a, a), b))) <=> (mult(mult(mult(c, a), b), mult(mult(a, a), b)) = mult(mult(c, a), mult(mult(mult(a, a), b), b)))),
% 5.39/5.58 inference(commutativity,[status(thm)],[])).
% 5.39/5.58 tff(9700,plain,
% 5.39/5.58 ((~![B: $i, A: $i] : (rd(mult(A, B), B) = A)) | (rd(mult(mult(mult(mult(c, a), b), mult(a, b)), a), a) = mult(mult(mult(c, a), b), mult(a, b)))),
% 5.39/5.58 inference(quant_inst,[status(thm)],[])).
% 5.39/5.58 tff(9701,plain,
% 5.39/5.58 (rd(mult(mult(mult(mult(c, a), b), mult(a, b)), a), a) = mult(mult(mult(c, a), b), mult(a, b))),
% 5.39/5.58 inference(unit_resolution,[status(thm)],[9700, 72])).
% 5.39/5.58 tff(9702,plain,
% 5.39/5.58 (mult(mult(mult(c, a), b), mult(a, mult(a, b))) = mult(mult(mult(mult(c, a), b), mult(a, b)), a)),
% 5.39/5.58 inference(symmetry,[status(thm)],[4313])).
% 5.39/5.58 tff(9703,assumption,(mult(mult(mult(mult(c, a), b), b), mult(a, a)) = mult(mult(mult(c, a), b), mult(mult(a, a), b))), introduced(assumption)).
% 5.39/5.58 tff(9704,plain,
% 5.39/5.58 (((~![X0: $i, X1: $i, X2: $i] : ((~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X2, X1)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X1, X2)))))) | (~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X1, X2)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X2, X1)))))))) | (mult(mult(mult(mult(mult(c, a), b), b), a), a) = mult(mult(mult(mult(c, a), b), b), mult(a, a)))) <=> ((~![X0: $i, X1: $i, X2: $i] : ((~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X2, X1)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X1, X2)))))) | (~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X1, X2)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X2, X1)))))))) | (mult(mult(mult(mult(mult(c, a), b), b), a), a) = mult(mult(mult(mult(c, a), b), b), mult(a, a))))),
% 5.39/5.58 inference(rewrite,[status(thm)],[])).
% 5.39/5.58 tff(9705,plain,
% 5.39/5.58 (((mult(mult(mult(mult(mult(c, a), b), b), a), a) = mult(mult(mult(mult(c, a), b), b), mult(a, a))) | (mult(mult(mult(mult(mult(c, a), b), b), a), a) = mult(mult(mult(mult(c, a), b), b), mult(a, a)))) <=> (mult(mult(mult(mult(mult(c, a), b), b), a), a) = mult(mult(mult(mult(c, a), b), b), mult(a, a)))),
% 5.39/5.58 inference(rewrite,[status(thm)],[])).
% 5.39/5.58 tff(9706,plain,
% 5.39/5.58 ((~(~(mult(mult(mult(mult(mult(c, a), b), b), a), a) = mult(mult(mult(mult(c, a), b), b), mult(a, a))))) <=> (mult(mult(mult(mult(mult(c, a), b), b), a), a) = mult(mult(mult(mult(c, a), b), b), mult(a, a)))),
% 5.39/5.58 inference(rewrite,[status(thm)],[])).
% 5.39/5.58 tff(9707,plain,
% 5.39/5.58 (((~(mult(mult(mult(mult(mult(c, a), b), b), a), a) = mult(mult(mult(mult(c, a), b), b), mult(a, a)))) | (~(mult(mult(mult(mult(mult(c, a), b), b), a), a) = mult(mult(mult(mult(c, a), b), b), mult(a, a))))) <=> (~(mult(mult(mult(mult(mult(c, a), b), b), a), a) = mult(mult(mult(mult(c, a), b), b), mult(a, a))))),
% 5.39/5.58 inference(rewrite,[status(thm)],[])).
% 5.39/5.58 tff(9708,plain,
% 5.39/5.58 ((~((~(mult(mult(mult(mult(mult(c, a), b), b), a), a) = mult(mult(mult(mult(c, a), b), b), mult(a, a)))) | (~(mult(mult(mult(mult(mult(c, a), b), b), a), a) = mult(mult(mult(mult(c, a), b), b), mult(a, a)))))) <=> (~(~(mult(mult(mult(mult(mult(c, a), b), b), a), a) = mult(mult(mult(mult(c, a), b), b), mult(a, a)))))),
% 5.39/5.58 inference(monotonicity,[status(thm)],[9707])).
% 5.39/5.58 tff(9709,plain,
% 5.39/5.58 ((~((~(mult(mult(mult(mult(mult(c, a), b), b), a), a) = mult(mult(mult(mult(c, a), b), b), mult(a, a)))) | (~(mult(mult(mult(mult(mult(c, a), b), b), a), a) = mult(mult(mult(mult(c, a), b), b), mult(a, a)))))) <=> (mult(mult(mult(mult(mult(c, a), b), b), a), a) = mult(mult(mult(mult(c, a), b), b), mult(a, a)))),
% 5.39/5.58 inference(transitivity,[status(thm)],[9708, 9706])).
% 5.39/5.58 tff(9710,plain,
% 5.39/5.58 (((~((~(mult(mult(mult(mult(mult(c, a), b), b), a), a) = mult(mult(mult(mult(c, a), b), b), mult(a, a)))) | (~(mult(mult(mult(mult(mult(c, a), b), b), a), a) = mult(mult(mult(mult(c, a), b), b), mult(a, a)))))) | (~((~(mult(mult(mult(mult(mult(c, a), b), b), a), a) = mult(mult(mult(mult(c, a), b), b), mult(a, a)))) | (~(mult(mult(mult(mult(mult(c, a), b), b), a), a) = mult(mult(mult(mult(c, a), b), b), mult(a, a))))))) <=> ((mult(mult(mult(mult(mult(c, a), b), b), a), a) = mult(mult(mult(mult(c, a), b), b), mult(a, a))) | (mult(mult(mult(mult(mult(c, a), b), b), a), a) = mult(mult(mult(mult(c, a), b), b), mult(a, a))))),
% 5.39/5.58 inference(monotonicity,[status(thm)],[9709, 9709])).
% 5.39/5.58 tff(9711,plain,
% 5.39/5.58 (((~((~(mult(mult(mult(mult(mult(c, a), b), b), a), a) = mult(mult(mult(mult(c, a), b), b), mult(a, a)))) | (~(mult(mult(mult(mult(mult(c, a), b), b), a), a) = mult(mult(mult(mult(c, a), b), b), mult(a, a)))))) | (~((~(mult(mult(mult(mult(mult(c, a), b), b), a), a) = mult(mult(mult(mult(c, a), b), b), mult(a, a)))) | (~(mult(mult(mult(mult(mult(c, a), b), b), a), a) = mult(mult(mult(mult(c, a), b), b), mult(a, a))))))) <=> (mult(mult(mult(mult(mult(c, a), b), b), a), a) = mult(mult(mult(mult(c, a), b), b), mult(a, a)))),
% 5.39/5.58 inference(transitivity,[status(thm)],[9710, 9705])).
% 5.39/5.58 tff(9712,plain,
% 5.39/5.58 (((~![X0: $i, X1: $i, X2: $i] : ((~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X2, X1)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X1, X2)))))) | (~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X1, X2)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X2, X1)))))))) | ((~((~(mult(mult(mult(mult(mult(c, a), b), b), a), a) = mult(mult(mult(mult(c, a), b), b), mult(a, a)))) | (~(mult(mult(mult(mult(mult(c, a), b), b), a), a) = mult(mult(mult(mult(c, a), b), b), mult(a, a)))))) | (~((~(mult(mult(mult(mult(mult(c, a), b), b), a), a) = mult(mult(mult(mult(c, a), b), b), mult(a, a)))) | (~(mult(mult(mult(mult(mult(c, a), b), b), a), a) = mult(mult(mult(mult(c, a), b), b), mult(a, a)))))))) <=> ((~![X0: $i, X1: $i, X2: $i] : ((~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X2, X1)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X1, X2)))))) | (~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X1, X2)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X2, X1)))))))) | (mult(mult(mult(mult(mult(c, a), b), b), a), a) = mult(mult(mult(mult(c, a), b), b), mult(a, a))))),
% 5.39/5.58 inference(monotonicity,[status(thm)],[9711])).
% 5.39/5.58 tff(9713,plain,
% 5.39/5.58 (((~![X0: $i, X1: $i, X2: $i] : ((~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X2, X1)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X1, X2)))))) | (~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X1, X2)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X2, X1)))))))) | ((~((~(mult(mult(mult(mult(mult(c, a), b), b), a), a) = mult(mult(mult(mult(c, a), b), b), mult(a, a)))) | (~(mult(mult(mult(mult(mult(c, a), b), b), a), a) = mult(mult(mult(mult(c, a), b), b), mult(a, a)))))) | (~((~(mult(mult(mult(mult(mult(c, a), b), b), a), a) = mult(mult(mult(mult(c, a), b), b), mult(a, a)))) | (~(mult(mult(mult(mult(mult(c, a), b), b), a), a) = mult(mult(mult(mult(c, a), b), b), mult(a, a)))))))) <=> ((~![X0: $i, X1: $i, X2: $i] : ((~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X2, X1)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X1, X2)))))) | (~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X1, X2)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X2, X1)))))))) | (mult(mult(mult(mult(mult(c, a), b), b), a), a) = mult(mult(mult(mult(c, a), b), b), mult(a, a))))),
% 5.39/5.58 inference(transitivity,[status(thm)],[9712, 9704])).
% 5.39/5.58 tff(9714,plain,
% 5.39/5.58 ((~![X0: $i, X1: $i, X2: $i] : ((~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X2, X1)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X1, X2)))))) | (~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X1, X2)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X2, X1)))))))) | ((~((~(mult(mult(mult(mult(mult(c, a), b), b), a), a) = mult(mult(mult(mult(c, a), b), b), mult(a, a)))) | (~(mult(mult(mult(mult(mult(c, a), b), b), a), a) = mult(mult(mult(mult(c, a), b), b), mult(a, a)))))) | (~((~(mult(mult(mult(mult(mult(c, a), b), b), a), a) = mult(mult(mult(mult(c, a), b), b), mult(a, a)))) | (~(mult(mult(mult(mult(mult(c, a), b), b), a), a) = mult(mult(mult(mult(c, a), b), b), mult(a, a)))))))),
% 5.39/5.58 inference(quant_inst,[status(thm)],[])).
% 5.39/5.58 tff(9715,plain,
% 5.39/5.58 ((~![X0: $i, X1: $i, X2: $i] : ((~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X2, X1)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X1, X2)))))) | (~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X1, X2)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X2, X1)))))))) | (mult(mult(mult(mult(mult(c, a), b), b), a), a) = mult(mult(mult(mult(c, a), b), b), mult(a, a)))),
% 5.39/5.58 inference(modus_ponens,[status(thm)],[9714, 9713])).
% 5.39/5.58 tff(9716,plain,
% 5.39/5.58 (mult(mult(mult(mult(mult(c, a), b), b), a), a) = mult(mult(mult(mult(c, a), b), b), mult(a, a))),
% 5.39/5.58 inference(unit_resolution,[status(thm)],[9715, 30])).
% 5.39/5.58 tff(9717,plain,
% 5.39/5.58 (mult(mult(mult(mult(mult(c, a), b), b), a), a) = mult(mult(mult(mult(c, a), b), mult(a, b)), a)),
% 5.39/5.58 inference(transitivity,[status(thm)],[9716, 9703, 8500, 9702])).
% 5.39/5.58 tff(9718,plain,
% 5.39/5.58 (rd(mult(mult(mult(mult(mult(c, a), b), b), a), a), a) = rd(mult(mult(mult(mult(c, a), b), mult(a, b)), a), a)),
% 5.39/5.58 inference(monotonicity,[status(thm)],[9717])).
% 5.39/5.58 tff(9719,plain,
% 5.39/5.58 (mult(mult(mult(mult(c, a), b), b), a) = rd(mult(mult(mult(mult(mult(c, a), b), b), a), a), a)),
% 5.39/5.58 inference(symmetry,[status(thm)],[9613])).
% 5.39/5.58 tff(9720,plain,
% 5.39/5.58 ((~![B: $i, A: $i] : (ld(A, mult(A, B)) = B)) | (ld(mult(c, a), mult(mult(c, a), mult(mult(a, mult(b, b)), a))) = mult(mult(a, mult(b, b)), a))),
% 5.39/5.58 inference(quant_inst,[status(thm)],[])).
% 5.39/5.58 tff(9721,plain,
% 5.39/5.58 (ld(mult(c, a), mult(mult(c, a), mult(mult(a, mult(b, b)), a))) = mult(mult(a, mult(b, b)), a)),
% 5.39/5.58 inference(unit_resolution,[status(thm)],[9720, 9])).
% 5.39/5.58 tff(9722,plain,
% 5.39/5.58 (mult(c, mult(mult(mult(mult(a, a), b), b), a)) = mult(mult(c, a), mult(mult(mult(a, a), b), b))),
% 5.39/5.58 inference(symmetry,[status(thm)],[9697])).
% 5.39/5.58 tff(9723,plain,
% 5.39/5.58 (mult(mult(mult(a, a), mult(b, b)), a) = mult(mult(mult(mult(a, a), b), b), a)),
% 5.39/5.58 inference(monotonicity,[status(thm)],[9644])).
% 5.39/5.58 tff(9724,plain,
% 5.39/5.58 (mult(a, mult(mult(a, mult(b, b)), a)) = mult(mult(mult(a, a), mult(b, b)), a)),
% 5.39/5.58 inference(symmetry,[status(thm)],[9619])).
% 5.39/5.58 tff(9725,plain,
% 5.39/5.58 (mult(a, mult(mult(a, mult(b, b)), a)) = mult(mult(mult(mult(a, a), b), b), a)),
% 5.39/5.58 inference(transitivity,[status(thm)],[9724, 9723])).
% 5.39/5.58 tff(9726,plain,
% 5.39/5.58 (mult(c, mult(a, mult(mult(a, mult(b, b)), a))) = mult(c, mult(mult(mult(mult(a, a), b), b), a))),
% 5.39/5.58 inference(monotonicity,[status(thm)],[9725])).
% 5.39/5.58 tff(9727,plain,
% 5.39/5.58 (((~(mult(mult(c, a), mult(mult(a, mult(b, b)), a)) = mult(c, mult(a, mult(mult(a, mult(b, b)), a))))) | (~(mult(mult(c, mult(mult(a, mult(b, b)), a)), a) = mult(c, mult(mult(mult(a, mult(b, b)), a), a))))) | (mult(mult(c, a), mult(mult(a, mult(b, b)), a)) = mult(c, mult(a, mult(mult(a, mult(b, b)), a))))),
% 5.39/5.58 inference(tautology,[status(thm)],[])).
% 5.39/5.58 tff(9728,plain,
% 5.39/5.58 (mult(mult(c, a), mult(mult(a, mult(b, b)), a)) = mult(c, mult(a, mult(mult(a, mult(b, b)), a)))),
% 5.39/5.58 inference(unit_resolution,[status(thm)],[9727, 9698])).
% 5.39/5.58 tff(9729,plain,
% 5.39/5.58 (mult(mult(c, a), mult(mult(a, mult(b, b)), a)) = mult(mult(c, a), mult(mult(mult(a, a), b), b))),
% 5.39/5.58 inference(transitivity,[status(thm)],[9728, 9726, 9722])).
% 5.39/5.58 tff(9730,plain,
% 5.39/5.58 (ld(mult(c, a), mult(mult(c, a), mult(mult(a, mult(b, b)), a))) = ld(mult(c, a), mult(mult(c, a), mult(mult(mult(a, a), b), b)))),
% 5.39/5.58 inference(monotonicity,[status(thm)],[9729])).
% 5.39/5.58 tff(9731,plain,
% 5.39/5.58 (ld(mult(c, a), mult(mult(c, a), mult(mult(mult(a, a), b), b))) = ld(mult(c, a), mult(mult(c, a), mult(mult(a, mult(b, b)), a)))),
% 5.39/5.58 inference(symmetry,[status(thm)],[9730])).
% 5.39/5.58 tff(9732,assumption,(~(ld(mult(c, a), mult(mult(c, a), mult(mult(mult(a, a), b), b))) = mult(mult(mult(a, a), b), b))), introduced(assumption)).
% 5.39/5.58 tff(9733,plain,
% 5.39/5.58 ((~![B: $i, A: $i] : (ld(A, mult(A, B)) = B)) | (ld(mult(c, a), mult(mult(c, a), mult(mult(mult(a, a), b), b))) = mult(mult(mult(a, a), b), b))),
% 5.39/5.58 inference(quant_inst,[status(thm)],[])).
% 5.39/5.58 tff(9734,plain,
% 5.39/5.58 ($false),
% 5.39/5.58 inference(unit_resolution,[status(thm)],[9733, 9, 9732])).
% 5.39/5.58 tff(9735,plain,(ld(mult(c, a), mult(mult(c, a), mult(mult(mult(a, a), b), b))) = mult(mult(mult(a, a), b), b)), inference(lemma,lemma(discharge,[]))).
% 5.39/5.58 tff(9736,plain,
% 5.39/5.58 (mult(mult(mult(a, a), b), b) = ld(mult(c, a), mult(mult(c, a), mult(mult(mult(a, a), b), b)))),
% 5.39/5.59 inference(symmetry,[status(thm)],[9735])).
% 5.39/5.59 tff(9737,plain,
% 5.39/5.59 (mult(mult(mult(a, a), b), b) = mult(mult(a, mult(b, b)), a)),
% 5.39/5.59 inference(transitivity,[status(thm)],[9736, 9731, 9721])).
% 5.39/5.59 tff(9738,plain,
% 5.39/5.59 (mult(c, mult(mult(mult(a, a), b), b)) = mult(c, mult(mult(a, mult(b, b)), a))),
% 5.39/5.59 inference(monotonicity,[status(thm)],[9737])).
% 5.39/5.59 tff(9739,plain,
% 5.39/5.59 (mult(c, mult(mult(mult(a, a), b), b)) = mult(mult(mult(c, a), b), mult(a, b))),
% 5.39/5.59 inference(transitivity,[status(thm)],[9738, 9591, 9560, 9719, 9718, 9701])).
% 5.39/5.59 tff(9740,plain,
% 5.39/5.59 (mult(mult(c, mult(mult(mult(a, a), b), b)), a) = mult(mult(mult(mult(c, a), b), mult(a, b)), a)),
% 5.39/5.59 inference(monotonicity,[status(thm)],[9739])).
% 5.39/5.59 tff(9741,plain,
% 5.39/5.59 (mult(c, mult(a, mult(mult(mult(a, a), b), b))) = mult(mult(c, mult(mult(mult(a, a), b), b)), a)),
% 5.39/5.59 inference(symmetry,[status(thm)],[9696])).
% 5.39/5.59 tff(9742,plain,
% 5.39/5.59 (mult(c, mult(a, mult(mult(mult(a, a), b), b))) = mult(mult(mult(c, a), b), mult(mult(a, a), b))),
% 5.39/5.59 inference(transitivity,[status(thm)],[9741, 9740, 4313, 8478])).
% 5.39/5.59 tff(9743,plain,
% 5.39/5.59 ((mult(mult(c, a), mult(mult(mult(a, a), b), b)) = mult(c, mult(a, mult(mult(mult(a, a), b), b)))) <=> (mult(mult(c, a), mult(mult(mult(a, a), b), b)) = mult(mult(mult(c, a), b), mult(mult(a, a), b)))),
% 5.39/5.59 inference(monotonicity,[status(thm)],[9742])).
% 5.39/5.59 tff(9744,plain,
% 5.39/5.59 ((mult(mult(c, a), mult(mult(mult(a, a), b), b)) = mult(c, mult(a, mult(mult(mult(a, a), b), b)))) <=> (mult(mult(mult(c, a), b), mult(mult(a, a), b)) = mult(mult(c, a), mult(mult(mult(a, a), b), b)))),
% 5.39/5.59 inference(transitivity,[status(thm)],[9743, 9699])).
% 5.39/5.59 tff(9745,plain,
% 5.39/5.59 ((mult(mult(mult(c, a), b), mult(mult(a, a), b)) = mult(mult(c, a), mult(mult(mult(a, a), b), b))) <=> (mult(mult(c, a), mult(mult(mult(a, a), b), b)) = mult(c, mult(a, mult(mult(mult(a, a), b), b))))),
% 5.39/5.59 inference(symmetry,[status(thm)],[9744])).
% 5.39/5.59 tff(9746,plain,
% 5.39/5.59 (mult(mult(a, mult(b, b)), a) = ld(mult(c, a), mult(mult(c, a), mult(mult(a, mult(b, b)), a)))),
% 5.39/5.59 inference(symmetry,[status(thm)],[9721])).
% 5.39/5.59 tff(9747,plain,
% 5.39/5.59 (mult(mult(a, mult(b, b)), a) = mult(mult(mult(a, a), b), b)),
% 5.39/5.59 inference(transitivity,[status(thm)],[9746, 9730, 9735])).
% 5.39/5.59 tff(9748,plain,
% 5.39/5.59 (mult(mult(mult(a, mult(b, b)), a), a) = mult(mult(mult(mult(a, a), b), b), a)),
% 5.39/5.59 inference(monotonicity,[status(thm)],[9747])).
% 5.39/5.59 tff(9749,plain,
% 5.39/5.59 (mult(mult(mult(mult(a, a), b), b), a) = mult(mult(mult(a, mult(b, b)), a), a)),
% 5.39/5.59 inference(symmetry,[status(thm)],[9748])).
% 5.39/5.59 tff(9750,plain,
% 5.39/5.59 (mult(c, mult(mult(mult(mult(a, a), b), b), a)) = mult(c, mult(mult(mult(a, mult(b, b)), a), a))),
% 5.39/5.59 inference(monotonicity,[status(thm)],[9749])).
% 5.39/5.59 tff(9751,plain,
% 5.39/5.59 (mult(c, mult(mult(mult(a, mult(b, b)), a), a)) = mult(c, mult(mult(mult(mult(a, a), b), b), a))),
% 5.39/5.59 inference(symmetry,[status(thm)],[9750])).
% 5.39/5.59 tff(9752,plain,
% 5.39/5.59 (((~(mult(mult(c, a), mult(mult(a, mult(b, b)), a)) = mult(c, mult(a, mult(mult(a, mult(b, b)), a))))) | (~(mult(mult(c, mult(mult(a, mult(b, b)), a)), a) = mult(c, mult(mult(mult(a, mult(b, b)), a), a))))) | (mult(mult(c, mult(mult(a, mult(b, b)), a)), a) = mult(c, mult(mult(mult(a, mult(b, b)), a), a)))),
% 5.39/5.59 inference(tautology,[status(thm)],[])).
% 5.39/5.59 tff(9753,plain,
% 5.39/5.59 (mult(mult(c, mult(mult(a, mult(b, b)), a)), a) = mult(c, mult(mult(mult(a, mult(b, b)), a), a))),
% 5.39/5.59 inference(unit_resolution,[status(thm)],[9752, 9698])).
% 5.39/5.59 tff(9754,plain,
% 5.39/5.59 (mult(c, mult(mult(a, mult(b, b)), a)) = mult(mult(mult(c, a), b), mult(a, b))),
% 5.39/5.59 inference(transitivity,[status(thm)],[9591, 9560, 9719, 9718, 9701])).
% 5.39/5.59 tff(9755,plain,
% 5.39/5.59 (mult(mult(c, mult(mult(a, mult(b, b)), a)), a) = mult(mult(mult(mult(c, a), b), mult(a, b)), a)),
% 5.39/5.59 inference(monotonicity,[status(thm)],[9754])).
% 5.39/5.59 tff(9756,plain,
% 5.39/5.59 (mult(mult(mult(mult(c, a), b), mult(a, b)), a) = mult(mult(c, mult(mult(a, mult(b, b)), a)), a)),
% 5.39/5.59 inference(symmetry,[status(thm)],[9755])).
% 5.39/5.59 tff(9757,plain,
% 5.39/5.59 (mult(mult(mult(c, a), b), mult(mult(a, a), b)) = mult(mult(c, a), mult(mult(mult(a, a), b), b))),
% 5.39/5.59 inference(transitivity,[status(thm)],[8500, 9702, 9756, 9753, 9751, 9722])).
% 5.39/5.59 tff(9758,plain,
% 5.39/5.59 (mult(mult(c, a), mult(mult(mult(a, a), b), b)) = mult(c, mult(a, mult(mult(mult(a, a), b), b)))),
% 5.39/5.59 inference(modus_ponens,[status(thm)],[9757, 9745])).
% 5.39/5.59 tff(9759,plain,
% 5.39/5.59 ($false),
% 5.39/5.59 inference(unit_resolution,[status(thm)],[9695, 9758])).
% 5.39/5.59 tff(9760,plain,(((~(mult(mult(c, a), mult(mult(a, mult(b, b)), a)) = mult(c, mult(a, mult(mult(a, mult(b, b)), a))))) | (~(mult(mult(c, mult(mult(a, mult(b, b)), a)), a) = mult(c, mult(mult(mult(a, mult(b, b)), a), a))))) | (mult(mult(c, a), mult(mult(mult(a, a), b), b)) = mult(c, mult(a, mult(mult(mult(a, a), b), b)))) | (~(mult(mult(c, mult(mult(mult(a, a), b), b)), a) = mult(c, mult(a, mult(mult(mult(a, a), b), b))))) | (~(mult(mult(mult(mult(c, a), b), mult(a, b)), a) = mult(mult(mult(c, a), b), mult(a, mult(a, b))))) | (~(mult(mult(mult(mult(c, a), b), b), mult(a, a)) = mult(mult(mult(c, a), b), mult(mult(a, a), b)))) | (~(mult(mult(c, a), mult(mult(mult(a, a), b), b)) = mult(c, mult(mult(mult(mult(a, a), b), b), a))))), inference(lemma,lemma(discharge,[]))).
% 5.39/5.59 tff(9761,plain,
% 5.39/5.59 (~(mult(mult(mult(mult(c, a), b), b), mult(a, a)) = mult(mult(mult(c, a), b), mult(mult(a, a), b)))),
% 5.39/5.59 inference(unit_resolution,[status(thm)],[9760, 4313, 9698, 9697, 9696, 9695])).
% 5.39/5.59 tff(9762,plain,
% 5.39/5.59 (mult(mult(mult(mult(c, a), b), a), mult(a, b)) = mult(mult(mult(c, a), b), mult(mult(a, b), a))),
% 5.39/5.59 inference(unit_resolution,[status(thm)],[4316, 4313])).
% 5.39/5.59 tff(9763,plain,
% 5.39/5.59 (~(mult(mult(mult(c, mult(mult(a, b), a)), b), a) = mult(mult(c, mult(mult(a, b), a)), mult(b, a)))),
% 5.39/5.59 inference(unit_resolution,[status(thm)],[4333, 9762, 1])).
% 5.39/5.59 tff(9764,plain,
% 5.39/5.59 ((~(mult(mult(mult(c, mult(mult(a, b), a)), a), b) = mult(mult(c, mult(mult(a, b), a)), mult(a, b)))) | (~(mult(mult(mult(c, mult(mult(a, b), a)), b), a) = mult(mult(c, mult(mult(a, b), a)), mult(b, a))))),
% 5.39/5.59 inference(unit_resolution,[status(thm)],[4243, 4352])).
% 5.39/5.59 tff(9765,plain,
% 5.39/5.59 (~((~(mult(mult(mult(c, mult(mult(a, b), a)), a), b) = mult(mult(c, mult(mult(a, b), a)), mult(b, a)))) | (~(mult(mult(mult(c, mult(mult(a, b), a)), b), a) = mult(mult(c, mult(mult(a, b), a)), mult(a, b)))))),
% 5.39/5.59 inference(unit_resolution,[status(thm)],[4241, 9764])).
% 5.39/5.59 tff(9766,plain,
% 5.39/5.59 (mult(mult(mult(c, mult(mult(a, b), a)), a), b) = mult(mult(c, mult(mult(a, b), a)), mult(b, a))),
% 5.39/5.59 inference(unit_resolution,[status(thm)],[4400, 9765])).
% 5.39/5.59 tff(9767,assumption,(mult(mult(mult(mult(c, a), b), a), mult(b, a)) = mult(mult(mult(c, a), b), mult(mult(b, a), a))), introduced(assumption)).
% 5.39/5.59 tff(9768,plain,
% 5.39/5.59 (mult(mult(c, mult(mult(a, b), a)), mult(b, a)) = mult(mult(mult(mult(c, a), b), a), mult(b, a))),
% 5.39/5.59 inference(monotonicity,[status(thm)],[2808])).
% 5.39/5.59 tff(9769,plain,
% 5.39/5.59 (mult(mult(mult(c, a), b), mult(mult(a, a), b)) = mult(mult(mult(c, a), b), mult(b, mult(a, a)))),
% 5.39/5.59 inference(transitivity,[status(thm)],[9460, 4457, 4459, 9768, 9767, 9363])).
% 5.39/5.59 tff(9770,plain,
% 5.39/5.59 ((mult(mult(mult(mult(c, a), b), b), mult(a, a)) = mult(mult(mult(c, a), b), mult(mult(a, a), b))) <=> (mult(mult(mult(mult(c, a), b), b), mult(a, a)) = mult(mult(mult(c, a), b), mult(b, mult(a, a))))),
% 5.39/5.59 inference(monotonicity,[status(thm)],[9769])).
% 5.39/5.59 tff(9771,plain,
% 5.39/5.59 ((mult(mult(mult(mult(c, a), b), b), mult(a, a)) = mult(mult(mult(c, a), b), mult(b, mult(a, a)))) <=> (mult(mult(mult(mult(c, a), b), b), mult(a, a)) = mult(mult(mult(c, a), b), mult(mult(a, a), b)))),
% 5.39/5.59 inference(symmetry,[status(thm)],[9770])).
% 5.39/5.59 tff(9772,plain,
% 5.39/5.59 (mult(mult(mult(mult(c, a), b), b), mult(a, a)) = mult(mult(mult(c, a), b), mult(mult(a, a), b))),
% 5.39/5.59 inference(modus_ponens,[status(thm)],[9462, 9771])).
% 5.39/5.59 tff(9773,plain,
% 5.39/5.59 ($false),
% 5.39/5.59 inference(unit_resolution,[status(thm)],[9455, 9772])).
% 5.39/5.59 tff(9774,plain,((mult(mult(mult(mult(c, a), b), b), mult(a, a)) = mult(mult(mult(c, a), b), mult(mult(a, a), b))) | (~(mult(mult(mult(c, mult(mult(a, b), a)), a), b) = mult(mult(c, mult(mult(a, b), a)), mult(b, a)))) | (~(mult(mult(mult(mult(c, a), b), a), mult(b, a)) = mult(mult(mult(c, a), b), mult(mult(b, a), a))))), inference(lemma,lemma(discharge,[]))).
% 5.39/5.59 tff(9775,plain,
% 5.39/5.59 (~(mult(mult(mult(mult(c, a), b), a), mult(b, a)) = mult(mult(mult(c, a), b), mult(mult(b, a), a)))),
% 5.39/5.59 inference(unit_resolution,[status(thm)],[9774, 9766, 9455])).
% 5.39/5.59 tff(9776,plain,
% 5.39/5.59 (((~(mult(mult(mult(mult(c, a), b), a), mult(b, a)) = mult(mult(mult(c, a), b), mult(mult(b, a), a)))) | (~(mult(mult(mult(mult(c, a), b), mult(b, a)), a) = mult(mult(mult(c, a), b), mult(a, mult(b, a)))))) | (mult(mult(mult(mult(c, a), b), a), mult(b, a)) = mult(mult(mult(c, a), b), mult(mult(b, a), a)))),
% 5.39/5.59 inference(tautology,[status(thm)],[])).
% 5.39/5.59 tff(9777,plain,
% 5.39/5.59 ((~(mult(mult(mult(mult(c, a), b), a), mult(b, a)) = mult(mult(mult(c, a), b), mult(mult(b, a), a)))) | (~(mult(mult(mult(mult(c, a), b), mult(b, a)), a) = mult(mult(mult(c, a), b), mult(a, mult(b, a)))))),
% 5.39/5.59 inference(unit_resolution,[status(thm)],[9776, 9775])).
% 5.39/5.59 tff(9778,plain,
% 5.39/5.59 (((~![X0: $i, X1: $i, X2: $i] : ((~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X2, X1)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X1, X2)))))) | (~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X1, X2)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X2, X1)))))))) | ((~((~(mult(mult(mult(mult(c, a), b), a), mult(b, a)) = mult(mult(mult(c, a), b), mult(mult(b, a), a)))) | (~(mult(mult(mult(mult(c, a), b), mult(b, a)), a) = mult(mult(mult(c, a), b), mult(a, mult(b, a))))))) | (~((~(mult(mult(mult(mult(c, a), b), a), mult(b, a)) = mult(mult(mult(c, a), b), mult(a, mult(b, a))))) | (~(mult(mult(mult(mult(c, a), b), mult(b, a)), a) = mult(mult(mult(c, a), b), mult(mult(b, a), a)))))))) <=> ((~![X0: $i, X1: $i, X2: $i] : ((~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X2, X1)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X1, X2)))))) | (~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X1, X2)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X2, X1)))))))) | (~((~(mult(mult(mult(mult(c, a), b), a), mult(b, a)) = mult(mult(mult(c, a), b), mult(mult(b, a), a)))) | (~(mult(mult(mult(mult(c, a), b), mult(b, a)), a) = mult(mult(mult(c, a), b), mult(a, mult(b, a))))))) | (~((~(mult(mult(mult(mult(c, a), b), a), mult(b, a)) = mult(mult(mult(c, a), b), mult(a, mult(b, a))))) | (~(mult(mult(mult(mult(c, a), b), mult(b, a)), a) = mult(mult(mult(c, a), b), mult(mult(b, a), a)))))))),
% 5.39/5.59 inference(rewrite,[status(thm)],[])).
% 5.39/5.59 tff(9779,plain,
% 5.39/5.59 ((~![X0: $i, X1: $i, X2: $i] : ((~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X2, X1)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X1, X2)))))) | (~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X1, X2)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X2, X1)))))))) | ((~((~(mult(mult(mult(mult(c, a), b), a), mult(b, a)) = mult(mult(mult(c, a), b), mult(mult(b, a), a)))) | (~(mult(mult(mult(mult(c, a), b), mult(b, a)), a) = mult(mult(mult(c, a), b), mult(a, mult(b, a))))))) | (~((~(mult(mult(mult(mult(c, a), b), a), mult(b, a)) = mult(mult(mult(c, a), b), mult(a, mult(b, a))))) | (~(mult(mult(mult(mult(c, a), b), mult(b, a)), a) = mult(mult(mult(c, a), b), mult(mult(b, a), a)))))))),
% 5.39/5.59 inference(quant_inst,[status(thm)],[])).
% 5.39/5.59 tff(9780,plain,
% 5.39/5.59 ((~![X0: $i, X1: $i, X2: $i] : ((~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X2, X1)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X1, X2)))))) | (~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X1, X2)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X2, X1)))))))) | (~((~(mult(mult(mult(mult(c, a), b), a), mult(b, a)) = mult(mult(mult(c, a), b), mult(mult(b, a), a)))) | (~(mult(mult(mult(mult(c, a), b), mult(b, a)), a) = mult(mult(mult(c, a), b), mult(a, mult(b, a))))))) | (~((~(mult(mult(mult(mult(c, a), b), a), mult(b, a)) = mult(mult(mult(c, a), b), mult(a, mult(b, a))))) | (~(mult(mult(mult(mult(c, a), b), mult(b, a)), a) = mult(mult(mult(c, a), b), mult(mult(b, a), a))))))),
% 5.39/5.59 inference(modus_ponens,[status(thm)],[9779, 9778])).
% 5.39/5.59 tff(9781,plain,
% 5.39/5.59 ((~((~(mult(mult(mult(mult(c, a), b), a), mult(b, a)) = mult(mult(mult(c, a), b), mult(mult(b, a), a)))) | (~(mult(mult(mult(mult(c, a), b), mult(b, a)), a) = mult(mult(mult(c, a), b), mult(a, mult(b, a))))))) | (~((~(mult(mult(mult(mult(c, a), b), a), mult(b, a)) = mult(mult(mult(c, a), b), mult(a, mult(b, a))))) | (~(mult(mult(mult(mult(c, a), b), mult(b, a)), a) = mult(mult(mult(c, a), b), mult(mult(b, a), a))))))),
% 5.39/5.59 inference(unit_resolution,[status(thm)],[9780, 30])).
% 5.39/5.59 tff(9782,plain,
% 5.39/5.59 (~((~(mult(mult(mult(mult(c, a), b), a), mult(b, a)) = mult(mult(mult(c, a), b), mult(a, mult(b, a))))) | (~(mult(mult(mult(mult(c, a), b), mult(b, a)), a) = mult(mult(mult(c, a), b), mult(mult(b, a), a)))))),
% 5.39/5.59 inference(unit_resolution,[status(thm)],[9781, 9777])).
% 5.39/5.59 tff(9783,plain,
% 5.39/5.59 (((~(mult(mult(mult(mult(c, a), b), a), mult(b, a)) = mult(mult(mult(c, a), b), mult(a, mult(b, a))))) | (~(mult(mult(mult(mult(c, a), b), mult(b, a)), a) = mult(mult(mult(c, a), b), mult(mult(b, a), a))))) | (mult(mult(mult(mult(c, a), b), a), mult(b, a)) = mult(mult(mult(c, a), b), mult(a, mult(b, a))))),
% 5.39/5.59 inference(tautology,[status(thm)],[])).
% 5.39/5.59 tff(9784,plain,
% 5.39/5.59 (mult(mult(mult(mult(c, a), b), a), mult(b, a)) = mult(mult(mult(c, a), b), mult(a, mult(b, a)))),
% 5.39/5.59 inference(unit_resolution,[status(thm)],[9783, 9782])).
% 5.39/5.59 tff(9785,plain,
% 5.39/5.59 (mult(mult(mult(c, mult(mult(a, b), a)), b), a) = mult(mult(c, mult(mult(a, b), a)), mult(b, a))),
% 5.39/5.59 inference(modus_ponens,[status(thm)],[9784, 4349])).
% 5.39/5.59 tff(9786,plain,
% 5.39/5.59 ($false),
% 5.39/5.59 inference(unit_resolution,[status(thm)],[4352, 9785])).
% 5.39/5.59 tff(9787,plain,((mult(mult(mult(c, mult(mult(a, b), a)), b), a) = mult(mult(c, mult(mult(a, b), a)), mult(b, a))) | (mult(mult(mult(mult(c, a), b), b), mult(a, a)) = mult(mult(mult(c, a), b), mult(mult(a, a), b)))), inference(lemma,lemma(discharge,[]))).
% 5.39/5.59 tff(9788,plain,
% 5.39/5.59 ($false),
% 5.39/5.59 inference(unit_resolution,[status(thm)],[9787, 9763, 9761])).
% 5.39/5.59 tff(9789,plain,((~(mult(mult(mult(mult(c, a), b), mult(a, b)), a) = mult(mult(mult(c, a), b), mult(a, mult(a, b))))) | (mult(a, b) = mult(b, a)) | ((~(mult(mult(c, a), mult(mult(a, mult(b, b)), a)) = mult(c, mult(a, mult(mult(a, mult(b, b)), a))))) | (~(mult(mult(c, mult(mult(a, mult(b, b)), a)), a) = mult(c, mult(mult(mult(a, mult(b, b)), a), a))))) | (~(mult(mult(c, a), mult(mult(mult(a, a), b), b)) = mult(c, mult(mult(mult(mult(a, a), b), b), a)))) | (~(mult(mult(c, mult(mult(mult(a, a), b), b)), a) = mult(c, mult(a, mult(mult(mult(a, a), b), b))))) | (mult(mult(c, a), mult(mult(mult(a, a), b), b)) = mult(c, mult(a, mult(mult(mult(a, a), b), b))))), inference(lemma,lemma(discharge,[]))).
% 5.39/5.59 tff(9790,plain,
% 5.39/5.59 (~(mult(mult(mult(mult(c, a), b), mult(a, b)), a) = mult(mult(mult(c, a), b), mult(a, mult(a, b))))),
% 5.39/5.59 inference(unit_resolution,[status(thm)],[9789, 1, 9694, 9671, 9664, 9676])).
% 5.39/5.59 tff(9791,plain,
% 5.39/5.59 ((~(mult(mult(mult(mult(c, a), b), a), mult(a, b)) = mult(mult(mult(c, a), b), mult(mult(a, b), a)))) | (~(mult(mult(mult(mult(c, a), b), mult(a, b)), a) = mult(mult(mult(c, a), b), mult(a, mult(a, b)))))),
% 5.39/5.59 inference(unit_resolution,[status(thm)],[4217, 9790])).
% 5.39/5.59 tff(9792,plain,
% 5.39/5.59 (~((~(mult(mult(mult(mult(c, a), b), a), mult(a, b)) = mult(mult(mult(c, a), b), mult(a, mult(a, b))))) | (~(mult(mult(mult(mult(c, a), b), mult(a, b)), a) = mult(mult(mult(c, a), b), mult(mult(a, b), a)))))),
% 5.39/5.59 inference(unit_resolution,[status(thm)],[4222, 9791])).
% 5.39/5.59 tff(9793,plain,
% 5.39/5.59 (mult(mult(mult(mult(c, a), b), a), mult(a, b)) = mult(mult(mult(c, a), b), mult(a, mult(a, b)))),
% 5.39/5.59 inference(unit_resolution,[status(thm)],[4224, 9792])).
% 5.39/5.59 tff(9794,plain,
% 5.39/5.59 (mult(mult(c, mult(mult(a, b), a)), mult(a, b)) = mult(mult(mult(c, a), b), mult(a, mult(a, b)))),
% 5.39/5.59 inference(transitivity,[status(thm)],[4226, 9793])).
% 5.39/5.59 tff(9795,plain,
% 5.39/5.59 (mult(mult(mult(mult(c, a), b), mult(a, b)), a) = mult(mult(mult(c, a), b), mult(mult(a, b), a))),
% 5.39/5.59 inference(unit_resolution,[status(thm)],[4228, 9792])).
% 5.39/5.59 tff(9796,plain,
% 5.39/5.59 (mult(mult(mult(c, a), b), mult(mult(a, b), a)) = mult(mult(mult(mult(c, a), b), mult(a, b)), a)),
% 5.39/5.59 inference(symmetry,[status(thm)],[9795])).
% 5.39/5.59 tff(9797,plain,
% 5.39/5.59 (mult(mult(mult(c, mult(mult(a, b), a)), b), a) = mult(mult(mult(mult(c, a), b), mult(a, b)), a)),
% 5.39/5.59 inference(transitivity,[status(thm)],[4215, 4212, 9796])).
% 5.39/5.59 tff(9798,plain,
% 5.39/5.59 ((mult(mult(mult(c, mult(mult(a, b), a)), b), a) = mult(mult(c, mult(mult(a, b), a)), mult(a, b))) <=> (mult(mult(mult(mult(c, a), b), mult(a, b)), a) = mult(mult(mult(c, a), b), mult(a, mult(a, b))))),
% 5.39/5.60 inference(monotonicity,[status(thm)],[9797, 9794])).
% 5.39/5.60 tff(9799,plain,
% 5.39/5.60 ((mult(mult(mult(mult(c, a), b), mult(a, b)), a) = mult(mult(mult(c, a), b), mult(a, mult(a, b)))) <=> (mult(mult(mult(c, mult(mult(a, b), a)), b), a) = mult(mult(c, mult(mult(a, b), a)), mult(a, b)))),
% 5.39/5.60 inference(symmetry,[status(thm)],[9798])).
% 5.39/5.60 tff(9800,plain,
% 5.39/5.60 ((~(mult(mult(mult(mult(c, a), b), mult(a, b)), a) = mult(mult(mult(c, a), b), mult(a, mult(a, b))))) <=> (~(mult(mult(mult(c, mult(mult(a, b), a)), b), a) = mult(mult(c, mult(mult(a, b), a)), mult(a, b))))),
% 5.39/5.60 inference(monotonicity,[status(thm)],[9799])).
% 5.39/5.60 tff(9801,plain,
% 5.39/5.60 (~(mult(mult(mult(c, mult(mult(a, b), a)), b), a) = mult(mult(c, mult(mult(a, b), a)), mult(a, b)))),
% 5.39/5.60 inference(modus_ponens,[status(thm)],[9790, 9800])).
% 5.39/5.60 tff(9802,plain,
% 5.39/5.60 ((~(mult(mult(mult(c, mult(mult(a, b), a)), a), b) = mult(mult(c, mult(mult(a, b), a)), mult(b, a)))) | (~(mult(mult(mult(c, mult(mult(a, b), a)), b), a) = mult(mult(c, mult(mult(a, b), a)), mult(a, b))))),
% 5.39/5.60 inference(unit_resolution,[status(thm)],[4236, 9801])).
% 5.39/5.60 tff(9803,plain,
% 5.39/5.60 (~((~(mult(mult(mult(c, mult(mult(a, b), a)), a), b) = mult(mult(c, mult(mult(a, b), a)), mult(a, b)))) | (~(mult(mult(mult(c, mult(mult(a, b), a)), b), a) = mult(mult(c, mult(mult(a, b), a)), mult(b, a)))))),
% 5.39/5.60 inference(unit_resolution,[status(thm)],[4241, 9802])).
% 5.39/5.60 tff(9804,plain,
% 5.39/5.60 (((~(mult(mult(mult(c, mult(mult(a, b), a)), a), b) = mult(mult(c, mult(mult(a, b), a)), mult(a, b)))) | (~(mult(mult(mult(c, mult(mult(a, b), a)), b), a) = mult(mult(c, mult(mult(a, b), a)), mult(b, a))))) | (mult(mult(mult(c, mult(mult(a, b), a)), a), b) = mult(mult(c, mult(mult(a, b), a)), mult(a, b)))),
% 5.39/5.60 inference(tautology,[status(thm)],[])).
% 5.39/5.60 tff(9805,plain,
% 5.39/5.60 (mult(mult(mult(c, mult(mult(a, b), a)), a), b) = mult(mult(c, mult(mult(a, b), a)), mult(a, b))),
% 5.39/5.60 inference(unit_resolution,[status(thm)],[9804, 9803])).
% 5.39/5.60 tff(9806,plain,
% 5.39/5.60 (mult(c, mult(mult(a, b), mult(mult(a, b), a))) = mult(mult(mult(mult(c, a), b), mult(a, b)), a)),
% 5.39/5.60 inference(transitivity,[status(thm)],[4378, 4262, 4259, 4215, 4212, 9796])).
% 5.39/5.60 tff(9807,plain,
% 5.39/5.60 ((mult(mult(c, mult(mult(a, b), a)), mult(a, b)) = mult(c, mult(mult(a, b), mult(mult(a, b), a)))) <=> (mult(mult(mult(c, a), b), mult(a, mult(a, b))) = mult(mult(mult(mult(c, a), b), mult(a, b)), a))),
% 5.39/5.60 inference(monotonicity,[status(thm)],[9794, 9806])).
% 5.39/5.60 tff(9808,plain,
% 5.39/5.60 ((mult(mult(c, mult(mult(a, b), a)), mult(a, b)) = mult(c, mult(mult(a, b), mult(mult(a, b), a)))) <=> (mult(mult(mult(mult(c, a), b), mult(a, b)), a) = mult(mult(mult(c, a), b), mult(a, mult(a, b))))),
% 5.39/5.60 inference(transitivity,[status(thm)],[9807, 4276])).
% 5.39/5.60 tff(9809,plain,
% 5.39/5.60 ((mult(mult(mult(mult(c, a), b), mult(a, b)), a) = mult(mult(mult(c, a), b), mult(a, mult(a, b)))) <=> (mult(mult(c, mult(mult(a, b), a)), mult(a, b)) = mult(c, mult(mult(a, b), mult(mult(a, b), a))))),
% 5.39/5.60 inference(symmetry,[status(thm)],[9808])).
% 5.39/5.60 tff(9810,plain,
% 5.39/5.60 ((~(mult(mult(mult(mult(c, a), b), mult(a, b)), a) = mult(mult(mult(c, a), b), mult(a, mult(a, b))))) <=> (~(mult(mult(c, mult(mult(a, b), a)), mult(a, b)) = mult(c, mult(mult(a, b), mult(mult(a, b), a)))))),
% 5.39/5.60 inference(monotonicity,[status(thm)],[9809])).
% 5.39/5.60 tff(9811,plain,
% 5.39/5.60 (~(mult(mult(c, mult(mult(a, b), a)), mult(a, b)) = mult(c, mult(mult(a, b), mult(mult(a, b), a))))),
% 5.39/5.60 inference(modus_ponens,[status(thm)],[9790, 9810])).
% 5.39/5.60 tff(9812,plain,
% 5.39/5.60 ((~(mult(mult(c, mult(a, b)), mult(mult(a, b), a)) = mult(c, mult(mult(mult(a, b), a), mult(a, b))))) | (~(mult(mult(c, mult(mult(a, b), a)), mult(a, b)) = mult(c, mult(mult(a, b), mult(mult(a, b), a)))))),
% 5.39/5.60 inference(unit_resolution,[status(thm)],[4283, 9811])).
% 5.39/5.60 tff(9813,plain,
% 5.39/5.60 (~((~(mult(mult(c, mult(a, b)), mult(mult(a, b), a)) = mult(c, mult(mult(a, b), mult(mult(a, b), a))))) | (~(mult(mult(c, mult(mult(a, b), a)), mult(a, b)) = mult(c, mult(mult(mult(a, b), a), mult(a, b))))))),
% 5.39/5.60 inference(unit_resolution,[status(thm)],[4288, 9812])).
% 5.39/5.60 tff(9814,plain,
% 5.39/5.60 (mult(mult(c, mult(a, b)), mult(mult(a, b), a)) = mult(c, mult(mult(a, b), mult(mult(a, b), a)))),
% 5.39/5.60 inference(unit_resolution,[status(thm)],[4290, 9813])).
% 5.39/5.60 tff(9815,plain,
% 5.39/5.60 (mult(mult(c, mult(a, b)), mult(mult(a, b), a)) = mult(mult(mult(c, a), b), mult(mult(a, b), a))),
% 5.39/5.60 inference(transitivity,[status(thm)],[9814, 4378, 4262, 4259, 4215, 4212])).
% 5.39/5.60 tff(9816,plain,
% 5.39/5.60 (rd(mult(mult(c, mult(a, b)), mult(mult(a, b), a)), mult(mult(a, b), a)) = rd(mult(mult(mult(c, a), b), mult(mult(a, b), a)), mult(mult(a, b), a))),
% 5.39/5.60 inference(monotonicity,[status(thm)],[9815])).
% 5.39/5.60 tff(9817,plain,
% 5.39/5.60 (mult(c, mult(a, b)) = rd(mult(mult(c, mult(a, b)), mult(mult(a, b), a)), mult(mult(a, b), a))),
% 5.39/5.60 inference(symmetry,[status(thm)],[4376])).
% 5.39/5.60 tff(9818,plain,
% 5.39/5.60 (mult(c, mult(a, b)) = mult(mult(c, a), b)),
% 5.39/5.60 inference(transitivity,[status(thm)],[9817, 9816, 4297])).
% 5.39/5.60 tff(9819,plain,
% 5.39/5.60 (mult(mult(c, mult(a, b)), a) = mult(mult(mult(c, a), b), a)),
% 5.39/5.60 inference(monotonicity,[status(thm)],[9818])).
% 5.39/5.60 tff(9820,plain,
% 5.39/5.60 (mult(mult(c, mult(a, b)), a) = mult(c, mult(mult(a, b), a))),
% 5.39/5.60 inference(transitivity,[status(thm)],[9819, 2807])).
% 5.39/5.60 tff(9821,plain,
% 5.39/5.60 (rd(mult(mult(mult(c, a), b), mult(mult(a, b), a)), mult(mult(a, b), a)) = rd(mult(mult(c, mult(a, b)), mult(mult(a, b), a)), mult(mult(a, b), a))),
% 5.39/5.60 inference(symmetry,[status(thm)],[9816])).
% 5.39/5.60 tff(9822,plain,
% 5.39/5.60 (mult(mult(c, a), b) = mult(c, mult(a, b))),
% 5.39/5.60 inference(transitivity,[status(thm)],[4298, 9821, 4376])).
% 5.39/5.60 tff(9823,plain,
% 5.39/5.60 (mult(mult(mult(c, a), b), a) = mult(mult(c, mult(a, b)), a)),
% 5.39/5.60 inference(symmetry,[status(thm)],[6733])).
% 5.39/5.60 tff(9824,plain,
% 5.39/5.60 (mult(mult(mult(mult(c, a), b), a), mult(a, b)) = mult(mult(mult(c, mult(a, b)), a), mult(a, b))),
% 5.39/5.60 inference(monotonicity,[status(thm)],[9823])).
% 5.39/5.60 tff(9825,plain,
% 5.39/5.60 (mult(mult(mult(c, mult(a, b)), a), mult(a, b)) = mult(mult(mult(mult(c, a), b), a), mult(a, b))),
% 5.39/5.60 inference(symmetry,[status(thm)],[9824])).
% 5.39/5.60 tff(9826,plain,
% 5.39/5.60 ((~![C: $i, B: $i, A: $i] : (mult(mult(mult(A, B), C), B) = mult(A, mult(mult(B, C), B)))) | (mult(mult(mult(c, mult(a, b)), a), mult(a, b)) = mult(c, mult(mult(mult(a, b), a), mult(a, b))))),
% 5.39/5.60 inference(quant_inst,[status(thm)],[])).
% 5.39/5.60 tff(9827,plain,
% 5.39/5.60 (mult(mult(mult(c, mult(a, b)), a), mult(a, b)) = mult(c, mult(mult(mult(a, b), a), mult(a, b)))),
% 5.39/5.60 inference(unit_resolution,[status(thm)],[9826, 860])).
% 5.39/5.60 tff(9828,plain,
% 5.39/5.60 (mult(c, mult(mult(mult(a, b), a), mult(a, b))) = mult(mult(mult(c, mult(a, b)), a), mult(a, b))),
% 5.39/5.60 inference(symmetry,[status(thm)],[9827])).
% 5.39/5.60 tff(9829,plain,
% 5.39/5.60 (mult(c, mult(mult(mult(a, b), a), mult(a, b))) = mult(mult(mult(c, a), b), mult(a, mult(a, b)))),
% 5.39/5.60 inference(transitivity,[status(thm)],[9828, 9825, 4225])).
% 5.39/5.60 tff(9830,plain,
% 5.39/5.60 (mult(mult(c, mult(a, b)), mult(mult(a, b), a)) = mult(mult(mult(c, a), b), mult(mult(a, b), a))),
% 5.39/5.60 inference(monotonicity,[status(thm)],[271])).
% 5.39/5.60 tff(9831,plain,
% 5.39/5.60 (mult(mult(c, mult(a, b)), mult(mult(a, b), a)) = mult(mult(mult(mult(c, a), b), mult(a, b)), a)),
% 5.39/5.60 inference(transitivity,[status(thm)],[9830, 4230])).
% 5.39/5.60 tff(9832,plain,
% 5.39/5.60 ((mult(mult(c, mult(a, b)), mult(mult(a, b), a)) = mult(c, mult(mult(mult(a, b), a), mult(a, b)))) <=> (mult(mult(mult(mult(c, a), b), mult(a, b)), a) = mult(mult(mult(c, a), b), mult(a, mult(a, b))))),
% 5.39/5.60 inference(monotonicity,[status(thm)],[9831, 9829])).
% 5.39/5.60 tff(9833,plain,
% 5.39/5.60 ((mult(mult(mult(mult(c, a), b), mult(a, b)), a) = mult(mult(mult(c, a), b), mult(a, mult(a, b)))) <=> (mult(mult(c, mult(a, b)), mult(mult(a, b), a)) = mult(c, mult(mult(mult(a, b), a), mult(a, b))))),
% 5.39/5.60 inference(symmetry,[status(thm)],[9832])).
% 5.39/5.60 tff(9834,plain,
% 5.39/5.60 ((~(mult(mult(mult(mult(c, a), b), mult(a, b)), a) = mult(mult(mult(c, a), b), mult(a, mult(a, b))))) <=> (~(mult(mult(c, mult(a, b)), mult(mult(a, b), a)) = mult(c, mult(mult(mult(a, b), a), mult(a, b)))))),
% 5.39/5.60 inference(monotonicity,[status(thm)],[9833])).
% 5.39/5.60 tff(9835,plain,
% 5.39/5.60 (~(mult(mult(c, mult(a, b)), mult(mult(a, b), a)) = mult(c, mult(mult(mult(a, b), a), mult(a, b))))),
% 5.39/5.60 inference(modus_ponens,[status(thm)],[4216, 9834])).
% 5.39/5.60 tff(9836,plain,
% 5.39/5.60 (((~(mult(mult(c, mult(mult(a, b), a)), mult(a, b)) = mult(c, mult(mult(a, b), mult(mult(a, b), a))))) | (~(mult(mult(c, mult(a, b)), mult(mult(a, b), a)) = mult(c, mult(mult(mult(a, b), a), mult(a, b)))))) | (mult(mult(c, mult(a, b)), mult(mult(a, b), a)) = mult(c, mult(mult(mult(a, b), a), mult(a, b))))),
% 5.39/5.60 inference(tautology,[status(thm)],[])).
% 5.39/5.60 tff(9837,plain,
% 5.39/5.60 ((~(mult(mult(c, mult(mult(a, b), a)), mult(a, b)) = mult(c, mult(mult(a, b), mult(mult(a, b), a))))) | (~(mult(mult(c, mult(a, b)), mult(mult(a, b), a)) = mult(c, mult(mult(mult(a, b), a), mult(a, b)))))),
% 5.39/5.60 inference(unit_resolution,[status(thm)],[9836, 9835])).
% 5.39/5.60 tff(9838,plain,
% 5.39/5.60 (((~![X0: $i, X1: $i, X2: $i] : ((~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X2, X1)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X1, X2)))))) | (~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X1, X2)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X2, X1)))))))) | ((~((~(mult(mult(c, mult(a, b)), mult(mult(a, b), a)) = mult(c, mult(mult(a, b), mult(mult(a, b), a))))) | (~(mult(mult(c, mult(mult(a, b), a)), mult(a, b)) = mult(c, mult(mult(mult(a, b), a), mult(a, b))))))) | (~((~(mult(mult(c, mult(mult(a, b), a)), mult(a, b)) = mult(c, mult(mult(a, b), mult(mult(a, b), a))))) | (~(mult(mult(c, mult(a, b)), mult(mult(a, b), a)) = mult(c, mult(mult(mult(a, b), a), mult(a, b))))))))) <=> ((~![X0: $i, X1: $i, X2: $i] : ((~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X2, X1)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X1, X2)))))) | (~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X1, X2)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X2, X1)))))))) | (~((~(mult(mult(c, mult(a, b)), mult(mult(a, b), a)) = mult(c, mult(mult(a, b), mult(mult(a, b), a))))) | (~(mult(mult(c, mult(mult(a, b), a)), mult(a, b)) = mult(c, mult(mult(mult(a, b), a), mult(a, b))))))) | (~((~(mult(mult(c, mult(mult(a, b), a)), mult(a, b)) = mult(c, mult(mult(a, b), mult(mult(a, b), a))))) | (~(mult(mult(c, mult(a, b)), mult(mult(a, b), a)) = mult(c, mult(mult(mult(a, b), a), mult(a, b))))))))),
% 5.39/5.60 inference(rewrite,[status(thm)],[])).
% 5.39/5.60 tff(9839,plain,
% 5.39/5.60 (((~((~(mult(mult(c, mult(mult(a, b), a)), mult(a, b)) = mult(c, mult(mult(a, b), mult(mult(a, b), a))))) | (~(mult(mult(c, mult(a, b)), mult(mult(a, b), a)) = mult(c, mult(mult(mult(a, b), a), mult(a, b))))))) | (~((~(mult(mult(c, mult(a, b)), mult(mult(a, b), a)) = mult(c, mult(mult(a, b), mult(mult(a, b), a))))) | (~(mult(mult(c, mult(mult(a, b), a)), mult(a, b)) = mult(c, mult(mult(mult(a, b), a), mult(a, b)))))))) <=> ((~((~(mult(mult(c, mult(a, b)), mult(mult(a, b), a)) = mult(c, mult(mult(a, b), mult(mult(a, b), a))))) | (~(mult(mult(c, mult(mult(a, b), a)), mult(a, b)) = mult(c, mult(mult(mult(a, b), a), mult(a, b))))))) | (~((~(mult(mult(c, mult(mult(a, b), a)), mult(a, b)) = mult(c, mult(mult(a, b), mult(mult(a, b), a))))) | (~(mult(mult(c, mult(a, b)), mult(mult(a, b), a)) = mult(c, mult(mult(mult(a, b), a), mult(a, b))))))))),
% 5.39/5.60 inference(rewrite,[status(thm)],[])).
% 5.39/5.60 tff(9840,plain,
% 5.39/5.60 ((~((~(mult(mult(c, mult(mult(a, b), a)), mult(a, b)) = mult(c, mult(mult(mult(a, b), a), mult(a, b))))) | (~(mult(mult(c, mult(a, b)), mult(mult(a, b), a)) = mult(c, mult(mult(a, b), mult(mult(a, b), a))))))) <=> (~((~(mult(mult(c, mult(a, b)), mult(mult(a, b), a)) = mult(c, mult(mult(a, b), mult(mult(a, b), a))))) | (~(mult(mult(c, mult(mult(a, b), a)), mult(a, b)) = mult(c, mult(mult(mult(a, b), a), mult(a, b)))))))),
% 5.39/5.60 inference(rewrite,[status(thm)],[])).
% 5.39/5.60 tff(9841,plain,
% 5.39/5.60 ((~((~(mult(mult(c, mult(mult(a, b), a)), mult(a, b)) = mult(c, mult(mult(a, b), mult(mult(a, b), a))))) | (~(mult(mult(c, mult(a, b)), mult(mult(a, b), a)) = mult(c, mult(mult(mult(a, b), a), mult(a, b))))))) <=> (~((~(mult(mult(c, mult(mult(a, b), a)), mult(a, b)) = mult(c, mult(mult(a, b), mult(mult(a, b), a))))) | (~(mult(mult(c, mult(a, b)), mult(mult(a, b), a)) = mult(c, mult(mult(mult(a, b), a), mult(a, b)))))))),
% 5.39/5.60 inference(rewrite,[status(thm)],[])).
% 5.39/5.60 tff(9842,plain,
% 5.39/5.60 (((~((~(mult(mult(c, mult(mult(a, b), a)), mult(a, b)) = mult(c, mult(mult(a, b), mult(mult(a, b), a))))) | (~(mult(mult(c, mult(a, b)), mult(mult(a, b), a)) = mult(c, mult(mult(mult(a, b), a), mult(a, b))))))) | (~((~(mult(mult(c, mult(mult(a, b), a)), mult(a, b)) = mult(c, mult(mult(mult(a, b), a), mult(a, b))))) | (~(mult(mult(c, mult(a, b)), mult(mult(a, b), a)) = mult(c, mult(mult(a, b), mult(mult(a, b), a)))))))) <=> ((~((~(mult(mult(c, mult(mult(a, b), a)), mult(a, b)) = mult(c, mult(mult(a, b), mult(mult(a, b), a))))) | (~(mult(mult(c, mult(a, b)), mult(mult(a, b), a)) = mult(c, mult(mult(mult(a, b), a), mult(a, b))))))) | (~((~(mult(mult(c, mult(a, b)), mult(mult(a, b), a)) = mult(c, mult(mult(a, b), mult(mult(a, b), a))))) | (~(mult(mult(c, mult(mult(a, b), a)), mult(a, b)) = mult(c, mult(mult(mult(a, b), a), mult(a, b))))))))),
% 5.39/5.60 inference(monotonicity,[status(thm)],[9841, 9840])).
% 5.39/5.60 tff(9843,plain,
% 5.39/5.60 (((~((~(mult(mult(c, mult(mult(a, b), a)), mult(a, b)) = mult(c, mult(mult(a, b), mult(mult(a, b), a))))) | (~(mult(mult(c, mult(a, b)), mult(mult(a, b), a)) = mult(c, mult(mult(mult(a, b), a), mult(a, b))))))) | (~((~(mult(mult(c, mult(mult(a, b), a)), mult(a, b)) = mult(c, mult(mult(mult(a, b), a), mult(a, b))))) | (~(mult(mult(c, mult(a, b)), mult(mult(a, b), a)) = mult(c, mult(mult(a, b), mult(mult(a, b), a)))))))) <=> ((~((~(mult(mult(c, mult(a, b)), mult(mult(a, b), a)) = mult(c, mult(mult(a, b), mult(mult(a, b), a))))) | (~(mult(mult(c, mult(mult(a, b), a)), mult(a, b)) = mult(c, mult(mult(mult(a, b), a), mult(a, b))))))) | (~((~(mult(mult(c, mult(mult(a, b), a)), mult(a, b)) = mult(c, mult(mult(a, b), mult(mult(a, b), a))))) | (~(mult(mult(c, mult(a, b)), mult(mult(a, b), a)) = mult(c, mult(mult(mult(a, b), a), mult(a, b))))))))),
% 5.39/5.60 inference(transitivity,[status(thm)],[9842, 9839])).
% 5.39/5.60 tff(9844,plain,
% 5.39/5.60 (((~![X0: $i, X1: $i, X2: $i] : ((~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X2, X1)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X1, X2)))))) | (~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X1, X2)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X2, X1)))))))) | ((~((~(mult(mult(c, mult(mult(a, b), a)), mult(a, b)) = mult(c, mult(mult(a, b), mult(mult(a, b), a))))) | (~(mult(mult(c, mult(a, b)), mult(mult(a, b), a)) = mult(c, mult(mult(mult(a, b), a), mult(a, b))))))) | (~((~(mult(mult(c, mult(mult(a, b), a)), mult(a, b)) = mult(c, mult(mult(mult(a, b), a), mult(a, b))))) | (~(mult(mult(c, mult(a, b)), mult(mult(a, b), a)) = mult(c, mult(mult(a, b), mult(mult(a, b), a))))))))) <=> ((~![X0: $i, X1: $i, X2: $i] : ((~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X2, X1)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X1, X2)))))) | (~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X1, X2)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X2, X1)))))))) | ((~((~(mult(mult(c, mult(a, b)), mult(mult(a, b), a)) = mult(c, mult(mult(a, b), mult(mult(a, b), a))))) | (~(mult(mult(c, mult(mult(a, b), a)), mult(a, b)) = mult(c, mult(mult(mult(a, b), a), mult(a, b))))))) | (~((~(mult(mult(c, mult(mult(a, b), a)), mult(a, b)) = mult(c, mult(mult(a, b), mult(mult(a, b), a))))) | (~(mult(mult(c, mult(a, b)), mult(mult(a, b), a)) = mult(c, mult(mult(mult(a, b), a), mult(a, b)))))))))),
% 5.39/5.60 inference(monotonicity,[status(thm)],[9843])).
% 5.39/5.60 tff(9845,plain,
% 5.39/5.60 (((~![X0: $i, X1: $i, X2: $i] : ((~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X2, X1)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X1, X2)))))) | (~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X1, X2)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X2, X1)))))))) | ((~((~(mult(mult(c, mult(mult(a, b), a)), mult(a, b)) = mult(c, mult(mult(a, b), mult(mult(a, b), a))))) | (~(mult(mult(c, mult(a, b)), mult(mult(a, b), a)) = mult(c, mult(mult(mult(a, b), a), mult(a, b))))))) | (~((~(mult(mult(c, mult(mult(a, b), a)), mult(a, b)) = mult(c, mult(mult(mult(a, b), a), mult(a, b))))) | (~(mult(mult(c, mult(a, b)), mult(mult(a, b), a)) = mult(c, mult(mult(a, b), mult(mult(a, b), a))))))))) <=> ((~![X0: $i, X1: $i, X2: $i] : ((~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X2, X1)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X1, X2)))))) | (~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X1, X2)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X2, X1)))))))) | (~((~(mult(mult(c, mult(a, b)), mult(mult(a, b), a)) = mult(c, mult(mult(a, b), mult(mult(a, b), a))))) | (~(mult(mult(c, mult(mult(a, b), a)), mult(a, b)) = mult(c, mult(mult(mult(a, b), a), mult(a, b))))))) | (~((~(mult(mult(c, mult(mult(a, b), a)), mult(a, b)) = mult(c, mult(mult(a, b), mult(mult(a, b), a))))) | (~(mult(mult(c, mult(a, b)), mult(mult(a, b), a)) = mult(c, mult(mult(mult(a, b), a), mult(a, b))))))))),
% 5.39/5.61 inference(transitivity,[status(thm)],[9844, 9838])).
% 5.39/5.61 tff(9846,plain,
% 5.39/5.61 ((~![X0: $i, X1: $i, X2: $i] : ((~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X2, X1)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X1, X2)))))) | (~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X1, X2)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X2, X1)))))))) | ((~((~(mult(mult(c, mult(mult(a, b), a)), mult(a, b)) = mult(c, mult(mult(a, b), mult(mult(a, b), a))))) | (~(mult(mult(c, mult(a, b)), mult(mult(a, b), a)) = mult(c, mult(mult(mult(a, b), a), mult(a, b))))))) | (~((~(mult(mult(c, mult(mult(a, b), a)), mult(a, b)) = mult(c, mult(mult(mult(a, b), a), mult(a, b))))) | (~(mult(mult(c, mult(a, b)), mult(mult(a, b), a)) = mult(c, mult(mult(a, b), mult(mult(a, b), a))))))))),
% 5.39/5.61 inference(quant_inst,[status(thm)],[])).
% 5.39/5.61 tff(9847,plain,
% 5.39/5.61 ((~![X0: $i, X1: $i, X2: $i] : ((~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X2, X1)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X1, X2)))))) | (~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X1, X2)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X2, X1)))))))) | (~((~(mult(mult(c, mult(a, b)), mult(mult(a, b), a)) = mult(c, mult(mult(a, b), mult(mult(a, b), a))))) | (~(mult(mult(c, mult(mult(a, b), a)), mult(a, b)) = mult(c, mult(mult(mult(a, b), a), mult(a, b))))))) | (~((~(mult(mult(c, mult(mult(a, b), a)), mult(a, b)) = mult(c, mult(mult(a, b), mult(mult(a, b), a))))) | (~(mult(mult(c, mult(a, b)), mult(mult(a, b), a)) = mult(c, mult(mult(mult(a, b), a), mult(a, b)))))))),
% 5.39/5.61 inference(modus_ponens,[status(thm)],[9846, 9845])).
% 5.39/5.61 tff(9848,plain,
% 5.39/5.61 ((~((~(mult(mult(c, mult(a, b)), mult(mult(a, b), a)) = mult(c, mult(mult(a, b), mult(mult(a, b), a))))) | (~(mult(mult(c, mult(mult(a, b), a)), mult(a, b)) = mult(c, mult(mult(mult(a, b), a), mult(a, b))))))) | (~((~(mult(mult(c, mult(mult(a, b), a)), mult(a, b)) = mult(c, mult(mult(a, b), mult(mult(a, b), a))))) | (~(mult(mult(c, mult(a, b)), mult(mult(a, b), a)) = mult(c, mult(mult(mult(a, b), a), mult(a, b)))))))),
% 5.39/5.61 inference(unit_resolution,[status(thm)],[9847, 30])).
% 5.39/5.61 tff(9849,plain,
% 5.39/5.61 (~((~(mult(mult(c, mult(a, b)), mult(mult(a, b), a)) = mult(c, mult(mult(a, b), mult(mult(a, b), a))))) | (~(mult(mult(c, mult(mult(a, b), a)), mult(a, b)) = mult(c, mult(mult(mult(a, b), a), mult(a, b))))))),
% 5.39/5.61 inference(unit_resolution,[status(thm)],[9848, 9837])).
% 5.39/5.61 tff(9850,plain,
% 5.39/5.61 (mult(mult(c, mult(a, b)), mult(mult(a, b), a)) = mult(c, mult(mult(a, b), mult(mult(a, b), a)))),
% 5.39/5.61 inference(unit_resolution,[status(thm)],[4290, 9849])).
% 5.39/5.61 tff(9851,plain,
% 5.39/5.61 (mult(mult(mult(c, a), b), mult(mult(a, b), a)) = mult(mult(c, mult(a, b)), mult(mult(a, b), a))),
% 5.39/5.61 inference(symmetry,[status(thm)],[9830])).
% 5.39/5.61 tff(9852,plain,
% 5.39/5.61 (mult(mult(mult(mult(c, a), b), mult(a, b)), a) = mult(mult(mult(c, a), b), mult(a, mult(a, b)))),
% 5.39/5.61 inference(transitivity,[status(thm)],[4229, 9851, 9850, 4548, 9828, 9825, 4225])).
% 5.39/5.61 tff(9853,plain,
% 5.39/5.61 ($false),
% 5.39/5.61 inference(unit_resolution,[status(thm)],[4216, 9852])).
% 5.39/5.61 tff(9854,plain,((~(mult(mult(mult(a, b), a), mult(a, b)) = mult(mult(a, b), mult(mult(a, b), a)))) | (mult(mult(mult(mult(c, a), b), mult(a, b)), a) = mult(mult(mult(c, a), b), mult(a, mult(a, b)))) | (~(mult(mult(c, a), b) = mult(c, mult(a, b))))), inference(lemma,lemma(discharge,[]))).
% 5.39/5.61 tff(9855,plain,
% 5.39/5.61 (~(mult(mult(mult(a, b), a), mult(a, b)) = mult(mult(a, b), mult(mult(a, b), a)))),
% 5.39/5.61 inference(unit_resolution,[status(thm)],[9854, 9822, 9790])).
% 5.39/5.61 tff(9856,plain,
% 5.39/5.61 (((~(mult(mult(mult(a, b), a), mult(a, b)) = mult(mult(a, b), mult(mult(a, b), a)))) | (~(mult(mult(mult(a, b), mult(a, b)), a) = mult(mult(a, b), mult(a, mult(a, b)))))) | (mult(mult(mult(a, b), a), mult(a, b)) = mult(mult(a, b), mult(mult(a, b), a)))),
% 5.39/5.61 inference(tautology,[status(thm)],[])).
% 5.39/5.61 tff(9857,plain,
% 5.39/5.61 ((~(mult(mult(mult(a, b), a), mult(a, b)) = mult(mult(a, b), mult(mult(a, b), a)))) | (~(mult(mult(mult(a, b), mult(a, b)), a) = mult(mult(a, b), mult(a, mult(a, b)))))),
% 5.39/5.61 inference(unit_resolution,[status(thm)],[9856, 9855])).
% 5.39/5.61 tff(9858,assumption,(~(mult(mult(mult(a, b), mult(a, b)), a) = mult(mult(a, b), mult(mult(a, b), a)))), introduced(assumption)).
% 5.39/5.61 tff(9859,plain,
% 5.39/5.61 (((~(mult(mult(mult(a, b), a), mult(a, b)) = mult(mult(a, b), mult(a, mult(a, b))))) | (~(mult(mult(mult(a, b), mult(a, b)), a) = mult(mult(a, b), mult(mult(a, b), a))))) | (mult(mult(mult(a, b), mult(a, b)), a) = mult(mult(a, b), mult(mult(a, b), a)))),
% 5.39/5.61 inference(tautology,[status(thm)],[])).
% 5.39/5.61 tff(9860,plain,
% 5.39/5.61 ((~(mult(mult(mult(a, b), a), mult(a, b)) = mult(mult(a, b), mult(a, mult(a, b))))) | (~(mult(mult(mult(a, b), mult(a, b)), a) = mult(mult(a, b), mult(mult(a, b), a))))),
% 5.39/5.61 inference(unit_resolution,[status(thm)],[9859, 9858])).
% 5.39/5.61 tff(9861,assumption,((~(mult(mult(mult(a, b), a), mult(a, b)) = mult(mult(a, b), mult(mult(a, b), a)))) | (~(mult(mult(mult(a, b), mult(a, b)), a) = mult(mult(a, b), mult(a, mult(a, b)))))), introduced(assumption)).
% 5.39/5.61 tff(9862,plain,
% 5.39/5.61 (((~![X0: $i, X1: $i, X2: $i] : ((~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X2, X1)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X1, X2)))))) | (~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X1, X2)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X2, X1)))))))) | ((~((~(mult(mult(mult(a, b), a), mult(a, b)) = mult(mult(a, b), mult(mult(a, b), a)))) | (~(mult(mult(mult(a, b), mult(a, b)), a) = mult(mult(a, b), mult(a, mult(a, b))))))) | (~((~(mult(mult(mult(a, b), a), mult(a, b)) = mult(mult(a, b), mult(a, mult(a, b))))) | (~(mult(mult(mult(a, b), mult(a, b)), a) = mult(mult(a, b), mult(mult(a, b), a)))))))) <=> ((~![X0: $i, X1: $i, X2: $i] : ((~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X2, X1)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X1, X2)))))) | (~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X1, X2)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X2, X1)))))))) | (~((~(mult(mult(mult(a, b), a), mult(a, b)) = mult(mult(a, b), mult(mult(a, b), a)))) | (~(mult(mult(mult(a, b), mult(a, b)), a) = mult(mult(a, b), mult(a, mult(a, b))))))) | (~((~(mult(mult(mult(a, b), a), mult(a, b)) = mult(mult(a, b), mult(a, mult(a, b))))) | (~(mult(mult(mult(a, b), mult(a, b)), a) = mult(mult(a, b), mult(mult(a, b), a)))))))),
% 5.39/5.61 inference(rewrite,[status(thm)],[])).
% 5.39/5.61 tff(9863,plain,
% 5.39/5.61 (((~((~(mult(mult(mult(a, b), a), mult(a, b)) = mult(mult(a, b), mult(mult(a, b), a)))) | (~(mult(mult(mult(a, b), mult(a, b)), a) = mult(mult(a, b), mult(a, mult(a, b))))))) | (~((~(mult(mult(mult(a, b), a), mult(a, b)) = mult(mult(a, b), mult(a, mult(a, b))))) | (~(mult(mult(mult(a, b), mult(a, b)), a) = mult(mult(a, b), mult(mult(a, b), a))))))) <=> ((~((~(mult(mult(mult(a, b), a), mult(a, b)) = mult(mult(a, b), mult(mult(a, b), a)))) | (~(mult(mult(mult(a, b), mult(a, b)), a) = mult(mult(a, b), mult(a, mult(a, b))))))) | (~((~(mult(mult(mult(a, b), a), mult(a, b)) = mult(mult(a, b), mult(a, mult(a, b))))) | (~(mult(mult(mult(a, b), mult(a, b)), a) = mult(mult(a, b), mult(mult(a, b), a)))))))),
% 5.39/5.61 inference(rewrite,[status(thm)],[])).
% 5.39/5.61 tff(9864,plain,
% 5.39/5.61 ((~((~(mult(mult(mult(a, b), mult(a, b)), a) = mult(mult(a, b), mult(mult(a, b), a)))) | (~(mult(mult(mult(a, b), a), mult(a, b)) = mult(mult(a, b), mult(a, mult(a, b))))))) <=> (~((~(mult(mult(mult(a, b), a), mult(a, b)) = mult(mult(a, b), mult(a, mult(a, b))))) | (~(mult(mult(mult(a, b), mult(a, b)), a) = mult(mult(a, b), mult(mult(a, b), a))))))),
% 5.39/5.61 inference(rewrite,[status(thm)],[])).
% 5.39/5.61 tff(9865,plain,
% 5.39/5.61 ((~((~(mult(mult(mult(a, b), mult(a, b)), a) = mult(mult(a, b), mult(a, mult(a, b))))) | (~(mult(mult(mult(a, b), a), mult(a, b)) = mult(mult(a, b), mult(mult(a, b), a)))))) <=> (~((~(mult(mult(mult(a, b), a), mult(a, b)) = mult(mult(a, b), mult(mult(a, b), a)))) | (~(mult(mult(mult(a, b), mult(a, b)), a) = mult(mult(a, b), mult(a, mult(a, b)))))))),
% 5.39/5.61 inference(rewrite,[status(thm)],[])).
% 5.39/5.61 tff(9866,plain,
% 5.39/5.61 (((~((~(mult(mult(mult(a, b), mult(a, b)), a) = mult(mult(a, b), mult(a, mult(a, b))))) | (~(mult(mult(mult(a, b), a), mult(a, b)) = mult(mult(a, b), mult(mult(a, b), a)))))) | (~((~(mult(mult(mult(a, b), mult(a, b)), a) = mult(mult(a, b), mult(mult(a, b), a)))) | (~(mult(mult(mult(a, b), a), mult(a, b)) = mult(mult(a, b), mult(a, mult(a, b)))))))) <=> ((~((~(mult(mult(mult(a, b), a), mult(a, b)) = mult(mult(a, b), mult(mult(a, b), a)))) | (~(mult(mult(mult(a, b), mult(a, b)), a) = mult(mult(a, b), mult(a, mult(a, b))))))) | (~((~(mult(mult(mult(a, b), a), mult(a, b)) = mult(mult(a, b), mult(a, mult(a, b))))) | (~(mult(mult(mult(a, b), mult(a, b)), a) = mult(mult(a, b), mult(mult(a, b), a)))))))),
% 5.39/5.61 inference(monotonicity,[status(thm)],[9865, 9864])).
% 5.39/5.61 tff(9867,plain,
% 5.39/5.61 (((~((~(mult(mult(mult(a, b), mult(a, b)), a) = mult(mult(a, b), mult(a, mult(a, b))))) | (~(mult(mult(mult(a, b), a), mult(a, b)) = mult(mult(a, b), mult(mult(a, b), a)))))) | (~((~(mult(mult(mult(a, b), mult(a, b)), a) = mult(mult(a, b), mult(mult(a, b), a)))) | (~(mult(mult(mult(a, b), a), mult(a, b)) = mult(mult(a, b), mult(a, mult(a, b)))))))) <=> ((~((~(mult(mult(mult(a, b), a), mult(a, b)) = mult(mult(a, b), mult(mult(a, b), a)))) | (~(mult(mult(mult(a, b), mult(a, b)), a) = mult(mult(a, b), mult(a, mult(a, b))))))) | (~((~(mult(mult(mult(a, b), a), mult(a, b)) = mult(mult(a, b), mult(a, mult(a, b))))) | (~(mult(mult(mult(a, b), mult(a, b)), a) = mult(mult(a, b), mult(mult(a, b), a)))))))),
% 5.39/5.61 inference(transitivity,[status(thm)],[9866, 9863])).
% 5.39/5.61 tff(9868,plain,
% 5.39/5.61 (((~![X0: $i, X1: $i, X2: $i] : ((~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X2, X1)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X1, X2)))))) | (~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X1, X2)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X2, X1)))))))) | ((~((~(mult(mult(mult(a, b), mult(a, b)), a) = mult(mult(a, b), mult(a, mult(a, b))))) | (~(mult(mult(mult(a, b), a), mult(a, b)) = mult(mult(a, b), mult(mult(a, b), a)))))) | (~((~(mult(mult(mult(a, b), mult(a, b)), a) = mult(mult(a, b), mult(mult(a, b), a)))) | (~(mult(mult(mult(a, b), a), mult(a, b)) = mult(mult(a, b), mult(a, mult(a, b))))))))) <=> ((~![X0: $i, X1: $i, X2: $i] : ((~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X2, X1)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X1, X2)))))) | (~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X1, X2)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X2, X1)))))))) | ((~((~(mult(mult(mult(a, b), a), mult(a, b)) = mult(mult(a, b), mult(mult(a, b), a)))) | (~(mult(mult(mult(a, b), mult(a, b)), a) = mult(mult(a, b), mult(a, mult(a, b))))))) | (~((~(mult(mult(mult(a, b), a), mult(a, b)) = mult(mult(a, b), mult(a, mult(a, b))))) | (~(mult(mult(mult(a, b), mult(a, b)), a) = mult(mult(a, b), mult(mult(a, b), a))))))))),
% 5.39/5.61 inference(monotonicity,[status(thm)],[9867])).
% 5.39/5.61 tff(9869,plain,
% 5.39/5.61 (((~![X0: $i, X1: $i, X2: $i] : ((~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X2, X1)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X1, X2)))))) | (~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X1, X2)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X2, X1)))))))) | ((~((~(mult(mult(mult(a, b), mult(a, b)), a) = mult(mult(a, b), mult(a, mult(a, b))))) | (~(mult(mult(mult(a, b), a), mult(a, b)) = mult(mult(a, b), mult(mult(a, b), a)))))) | (~((~(mult(mult(mult(a, b), mult(a, b)), a) = mult(mult(a, b), mult(mult(a, b), a)))) | (~(mult(mult(mult(a, b), a), mult(a, b)) = mult(mult(a, b), mult(a, mult(a, b))))))))) <=> ((~![X0: $i, X1: $i, X2: $i] : ((~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X2, X1)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X1, X2)))))) | (~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X1, X2)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X2, X1)))))))) | (~((~(mult(mult(mult(a, b), a), mult(a, b)) = mult(mult(a, b), mult(mult(a, b), a)))) | (~(mult(mult(mult(a, b), mult(a, b)), a) = mult(mult(a, b), mult(a, mult(a, b))))))) | (~((~(mult(mult(mult(a, b), a), mult(a, b)) = mult(mult(a, b), mult(a, mult(a, b))))) | (~(mult(mult(mult(a, b), mult(a, b)), a) = mult(mult(a, b), mult(mult(a, b), a)))))))),
% 5.45/5.61 inference(transitivity,[status(thm)],[9868, 9862])).
% 5.45/5.61 tff(9870,plain,
% 5.45/5.61 ((~![X0: $i, X1: $i, X2: $i] : ((~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X2, X1)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X1, X2)))))) | (~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X1, X2)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X2, X1)))))))) | ((~((~(mult(mult(mult(a, b), mult(a, b)), a) = mult(mult(a, b), mult(a, mult(a, b))))) | (~(mult(mult(mult(a, b), a), mult(a, b)) = mult(mult(a, b), mult(mult(a, b), a)))))) | (~((~(mult(mult(mult(a, b), mult(a, b)), a) = mult(mult(a, b), mult(mult(a, b), a)))) | (~(mult(mult(mult(a, b), a), mult(a, b)) = mult(mult(a, b), mult(a, mult(a, b))))))))),
% 5.45/5.61 inference(quant_inst,[status(thm)],[])).
% 5.45/5.61 tff(9871,plain,
% 5.45/5.61 ((~![X0: $i, X1: $i, X2: $i] : ((~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X2, X1)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X1, X2)))))) | (~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X1, X2)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X2, X1)))))))) | (~((~(mult(mult(mult(a, b), a), mult(a, b)) = mult(mult(a, b), mult(mult(a, b), a)))) | (~(mult(mult(mult(a, b), mult(a, b)), a) = mult(mult(a, b), mult(a, mult(a, b))))))) | (~((~(mult(mult(mult(a, b), a), mult(a, b)) = mult(mult(a, b), mult(a, mult(a, b))))) | (~(mult(mult(mult(a, b), mult(a, b)), a) = mult(mult(a, b), mult(mult(a, b), a))))))),
% 5.45/5.61 inference(modus_ponens,[status(thm)],[9870, 9869])).
% 5.45/5.61 tff(9872,plain,
% 5.45/5.61 ($false),
% 5.45/5.61 inference(unit_resolution,[status(thm)],[9871, 30, 9861, 9860])).
% 5.45/5.61 tff(9873,plain,((~((~(mult(mult(mult(a, b), a), mult(a, b)) = mult(mult(a, b), mult(mult(a, b), a)))) | (~(mult(mult(mult(a, b), mult(a, b)), a) = mult(mult(a, b), mult(a, mult(a, b))))))) | (mult(mult(mult(a, b), mult(a, b)), a) = mult(mult(a, b), mult(mult(a, b), a)))), inference(lemma,lemma(discharge,[]))).
% 5.45/5.61 tff(9874,plain,
% 5.45/5.61 (mult(mult(mult(a, b), mult(a, b)), a) = mult(mult(a, b), mult(mult(a, b), a))),
% 5.45/5.61 inference(unit_resolution,[status(thm)],[9873, 9857])).
% 5.45/5.61 tff(9875,plain,
% 5.45/5.61 (mult(mult(c, a), mult(a, b)) = mult(c, mult(a, mult(a, b)))),
% 5.45/5.61 inference(unit_resolution,[status(thm)],[6745, 9822])).
% 5.45/5.61 tff(9876,assumption,(mult(mult(mult(c, a), b), a) = mult(mult(c, a), mult(a, b))), introduced(assumption)).
% 5.45/5.61 tff(9877,plain,
% 5.45/5.61 (mult(mult(c, a), mult(a, b)) = mult(c, mult(mult(a, b), a))),
% 5.45/5.61 inference(modus_ponens,[status(thm)],[9876, 9041])).
% 5.45/5.61 tff(9878,plain,
% 5.45/5.61 ($false),
% 5.45/5.61 inference(unit_resolution,[status(thm)],[9227, 9877])).
% 5.45/5.61 tff(9879,plain,((~(mult(mult(mult(c, a), b), a) = mult(mult(c, a), mult(a, b)))) | (mult(mult(c, a), mult(a, b)) = mult(c, mult(mult(a, b), a)))), inference(lemma,lemma(discharge,[]))).
% 5.45/5.61 tff(9880,plain,
% 5.45/5.61 (~(mult(mult(mult(c, a), b), a) = mult(mult(c, a), mult(a, b)))),
% 5.45/5.61 inference(unit_resolution,[status(thm)],[9879, 9227])).
% 5.45/5.61 tff(9881,plain,
% 5.45/5.61 ((~(mult(mult(mult(c, a), a), b) = mult(mult(c, a), mult(b, a)))) | (~(mult(mult(mult(c, a), b), a) = mult(mult(c, a), mult(a, b))))),
% 5.45/5.61 inference(unit_resolution,[status(thm)],[9029, 9880])).
% 5.45/5.61 tff(9882,assumption,(mult(mult(mult(a, b), mult(a, b)), a) = mult(mult(a, b), mult(mult(a, b), a))), introduced(assumption)).
% 5.45/5.61 tff(9883,assumption,(mult(mult(c, a), mult(a, b)) = mult(c, mult(a, mult(a, b)))), introduced(assumption)).
% 5.45/5.61 tff(9884,plain,
% 5.45/5.61 (~(mult(mult(c, mult(a, b)), a) = mult(c, mult(a, mult(a, b))))),
% 5.45/5.61 inference(unit_resolution,[status(thm)],[9239, 9227])).
% 5.45/5.61 tff(9885,plain,
% 5.45/5.61 ((~![B: $i, A: $i] : (rd(mult(A, B), B) = A)) | (rd(mult(mult(b, a), b), b) = mult(b, a))),
% 5.45/5.61 inference(quant_inst,[status(thm)],[])).
% 5.45/5.61 tff(9886,plain,
% 5.45/5.61 (rd(mult(mult(b, a), b), b) = mult(b, a)),
% 5.45/5.61 inference(unit_resolution,[status(thm)],[9885, 72])).
% 5.45/5.61 tff(9887,plain,
% 5.45/5.61 ((~![B: $i, A: $i] : (ld(A, mult(A, B)) = B)) | (ld(a, mult(a, mult(a, mult(b, b)))) = mult(a, mult(b, b)))),
% 5.45/5.61 inference(quant_inst,[status(thm)],[])).
% 5.45/5.62 tff(9888,plain,
% 5.45/5.62 (ld(a, mult(a, mult(a, mult(b, b)))) = mult(a, mult(b, b))),
% 5.45/5.62 inference(unit_resolution,[status(thm)],[9887, 9])).
% 5.45/5.62 tff(9889,plain,
% 5.45/5.62 (mult(a, mult(a, mult(b, b))) = mult(a, mult(mult(a, b), b))),
% 5.45/5.62 inference(monotonicity,[status(thm)],[8549])).
% 5.45/5.62 tff(9890,plain,
% 5.45/5.62 (mult(a, mult(mult(a, b), b)) = mult(a, mult(a, mult(b, b)))),
% 5.45/5.62 inference(symmetry,[status(thm)],[9889])).
% 5.45/5.62 tff(9891,plain,
% 5.45/5.62 (mult(mult(a, mult(a, b)), b) = mult(mult(mult(a, a), b), b)),
% 5.45/5.62 inference(monotonicity,[status(thm)],[6193])).
% 5.45/5.62 tff(9892,plain,
% 5.45/5.62 (mult(mult(a, mult(a, b)), b) = mult(mult(a, a), mult(b, b))),
% 5.45/5.62 inference(transitivity,[status(thm)],[9891, 9632])).
% 5.45/5.62 tff(9893,plain,
% 5.45/5.62 ((mult(mult(a, mult(a, b)), b) = mult(a, mult(mult(a, b), b))) <=> (mult(mult(a, a), mult(b, b)) = mult(a, mult(a, mult(b, b))))),
% 5.45/5.62 inference(monotonicity,[status(thm)],[9892, 9890])).
% 5.45/5.62 tff(9894,plain,
% 5.45/5.62 ((mult(mult(a, a), mult(b, b)) = mult(a, mult(a, mult(b, b)))) <=> (mult(mult(a, mult(a, b)), b) = mult(a, mult(mult(a, b), b)))),
% 5.45/5.62 inference(symmetry,[status(thm)],[9893])).
% 5.45/5.62 tff(9895,plain,
% 5.45/5.62 ((~(mult(mult(a, a), mult(b, b)) = mult(a, mult(a, mult(b, b))))) <=> (~(mult(mult(a, mult(a, b)), b) = mult(a, mult(mult(a, b), b))))),
% 5.45/5.62 inference(monotonicity,[status(thm)],[9894])).
% 5.45/5.62 tff(9896,plain,
% 5.45/5.62 (~(mult(mult(a, mult(a, b)), b) = mult(a, mult(mult(a, b), b)))),
% 5.45/5.62 inference(modus_ponens,[status(thm)],[9471, 9895])).
% 5.45/5.62 tff(9897,plain,
% 5.45/5.62 (((~(mult(mult(a, b), mult(a, b)) = mult(a, mult(b, mult(a, b))))) | (~(mult(mult(a, mult(a, b)), b) = mult(a, mult(mult(a, b), b))))) | (mult(mult(a, mult(a, b)), b) = mult(a, mult(mult(a, b), b)))),
% 5.45/5.62 inference(tautology,[status(thm)],[])).
% 5.45/5.62 tff(9898,plain,
% 5.45/5.62 ((~(mult(mult(a, b), mult(a, b)) = mult(a, mult(b, mult(a, b))))) | (~(mult(mult(a, mult(a, b)), b) = mult(a, mult(mult(a, b), b))))),
% 5.45/5.62 inference(unit_resolution,[status(thm)],[9897, 9896])).
% 5.45/5.62 tff(9899,plain,
% 5.45/5.62 (((~![X0: $i, X1: $i, X2: $i] : ((~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X2, X1)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X1, X2)))))) | (~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X1, X2)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X2, X1)))))))) | ((~((~(mult(mult(a, b), mult(a, b)) = mult(a, mult(b, mult(a, b))))) | (~(mult(mult(a, mult(a, b)), b) = mult(a, mult(mult(a, b), b)))))) | (~((~(mult(mult(a, b), mult(a, b)) = mult(a, mult(mult(a, b), b)))) | (~(mult(mult(a, mult(a, b)), b) = mult(a, mult(b, mult(a, b))))))))) <=> ((~![X0: $i, X1: $i, X2: $i] : ((~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X2, X1)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X1, X2)))))) | (~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X1, X2)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X2, X1)))))))) | (~((~(mult(mult(a, b), mult(a, b)) = mult(a, mult(b, mult(a, b))))) | (~(mult(mult(a, mult(a, b)), b) = mult(a, mult(mult(a, b), b)))))) | (~((~(mult(mult(a, b), mult(a, b)) = mult(a, mult(mult(a, b), b)))) | (~(mult(mult(a, mult(a, b)), b) = mult(a, mult(b, mult(a, b))))))))),
% 5.45/5.62 inference(rewrite,[status(thm)],[])).
% 5.45/5.62 tff(9900,plain,
% 5.45/5.62 (((~((~(mult(mult(a, b), mult(a, b)) = mult(a, mult(mult(a, b), b)))) | (~(mult(mult(a, mult(a, b)), b) = mult(a, mult(b, mult(a, b))))))) | (~((~(mult(mult(a, b), mult(a, b)) = mult(a, mult(b, mult(a, b))))) | (~(mult(mult(a, mult(a, b)), b) = mult(a, mult(mult(a, b), b))))))) <=> ((~((~(mult(mult(a, b), mult(a, b)) = mult(a, mult(b, mult(a, b))))) | (~(mult(mult(a, mult(a, b)), b) = mult(a, mult(mult(a, b), b)))))) | (~((~(mult(mult(a, b), mult(a, b)) = mult(a, mult(mult(a, b), b)))) | (~(mult(mult(a, mult(a, b)), b) = mult(a, mult(b, mult(a, b))))))))),
% 5.45/5.62 inference(rewrite,[status(thm)],[])).
% 5.45/5.62 tff(9901,plain,
% 5.45/5.62 (((~![X0: $i, X1: $i, X2: $i] : ((~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X2, X1)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X1, X2)))))) | (~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X1, X2)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X2, X1)))))))) | ((~((~(mult(mult(a, b), mult(a, b)) = mult(a, mult(mult(a, b), b)))) | (~(mult(mult(a, mult(a, b)), b) = mult(a, mult(b, mult(a, b))))))) | (~((~(mult(mult(a, b), mult(a, b)) = mult(a, mult(b, mult(a, b))))) | (~(mult(mult(a, mult(a, b)), b) = mult(a, mult(mult(a, b), b)))))))) <=> ((~![X0: $i, X1: $i, X2: $i] : ((~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X2, X1)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X1, X2)))))) | (~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X1, X2)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X2, X1)))))))) | ((~((~(mult(mult(a, b), mult(a, b)) = mult(a, mult(b, mult(a, b))))) | (~(mult(mult(a, mult(a, b)), b) = mult(a, mult(mult(a, b), b)))))) | (~((~(mult(mult(a, b), mult(a, b)) = mult(a, mult(mult(a, b), b)))) | (~(mult(mult(a, mult(a, b)), b) = mult(a, mult(b, mult(a, b)))))))))),
% 5.45/5.62 inference(monotonicity,[status(thm)],[9900])).
% 5.45/5.62 tff(9902,plain,
% 5.45/5.62 (((~![X0: $i, X1: $i, X2: $i] : ((~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X2, X1)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X1, X2)))))) | (~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X1, X2)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X2, X1)))))))) | ((~((~(mult(mult(a, b), mult(a, b)) = mult(a, mult(mult(a, b), b)))) | (~(mult(mult(a, mult(a, b)), b) = mult(a, mult(b, mult(a, b))))))) | (~((~(mult(mult(a, b), mult(a, b)) = mult(a, mult(b, mult(a, b))))) | (~(mult(mult(a, mult(a, b)), b) = mult(a, mult(mult(a, b), b)))))))) <=> ((~![X0: $i, X1: $i, X2: $i] : ((~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X2, X1)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X1, X2)))))) | (~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X1, X2)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X2, X1)))))))) | (~((~(mult(mult(a, b), mult(a, b)) = mult(a, mult(b, mult(a, b))))) | (~(mult(mult(a, mult(a, b)), b) = mult(a, mult(mult(a, b), b)))))) | (~((~(mult(mult(a, b), mult(a, b)) = mult(a, mult(mult(a, b), b)))) | (~(mult(mult(a, mult(a, b)), b) = mult(a, mult(b, mult(a, b))))))))),
% 5.45/5.62 inference(transitivity,[status(thm)],[9901, 9899])).
% 5.45/5.62 tff(9903,plain,
% 5.45/5.62 ((~![X0: $i, X1: $i, X2: $i] : ((~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X2, X1)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X1, X2)))))) | (~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X1, X2)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X2, X1)))))))) | ((~((~(mult(mult(a, b), mult(a, b)) = mult(a, mult(mult(a, b), b)))) | (~(mult(mult(a, mult(a, b)), b) = mult(a, mult(b, mult(a, b))))))) | (~((~(mult(mult(a, b), mult(a, b)) = mult(a, mult(b, mult(a, b))))) | (~(mult(mult(a, mult(a, b)), b) = mult(a, mult(mult(a, b), b)))))))),
% 5.45/5.62 inference(quant_inst,[status(thm)],[])).
% 5.45/5.62 tff(9904,plain,
% 5.45/5.62 ((~![X0: $i, X1: $i, X2: $i] : ((~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X2, X1)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X1, X2)))))) | (~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X1, X2)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X2, X1)))))))) | (~((~(mult(mult(a, b), mult(a, b)) = mult(a, mult(b, mult(a, b))))) | (~(mult(mult(a, mult(a, b)), b) = mult(a, mult(mult(a, b), b)))))) | (~((~(mult(mult(a, b), mult(a, b)) = mult(a, mult(mult(a, b), b)))) | (~(mult(mult(a, mult(a, b)), b) = mult(a, mult(b, mult(a, b)))))))),
% 5.45/5.62 inference(modus_ponens,[status(thm)],[9903, 9902])).
% 5.45/5.62 tff(9905,plain,
% 5.45/5.62 ((~((~(mult(mult(a, b), mult(a, b)) = mult(a, mult(b, mult(a, b))))) | (~(mult(mult(a, mult(a, b)), b) = mult(a, mult(mult(a, b), b)))))) | (~((~(mult(mult(a, b), mult(a, b)) = mult(a, mult(mult(a, b), b)))) | (~(mult(mult(a, mult(a, b)), b) = mult(a, mult(b, mult(a, b)))))))),
% 5.45/5.62 inference(unit_resolution,[status(thm)],[9904, 30])).
% 5.45/5.62 tff(9906,plain,
% 5.45/5.62 (~((~(mult(mult(a, b), mult(a, b)) = mult(a, mult(mult(a, b), b)))) | (~(mult(mult(a, mult(a, b)), b) = mult(a, mult(b, mult(a, b))))))),
% 5.45/5.62 inference(unit_resolution,[status(thm)],[9905, 9898])).
% 5.45/5.62 tff(9907,plain,
% 5.45/5.62 (((~(mult(mult(a, b), mult(a, b)) = mult(a, mult(mult(a, b), b)))) | (~(mult(mult(a, mult(a, b)), b) = mult(a, mult(b, mult(a, b)))))) | (mult(mult(a, b), mult(a, b)) = mult(a, mult(mult(a, b), b)))),
% 5.45/5.62 inference(tautology,[status(thm)],[])).
% 5.45/5.62 tff(9908,plain,
% 5.45/5.62 (mult(mult(a, b), mult(a, b)) = mult(a, mult(mult(a, b), b))),
% 5.45/5.62 inference(unit_resolution,[status(thm)],[9907, 9906])).
% 5.45/5.62 tff(9909,plain,
% 5.45/5.62 ((~![B: $i, A: $i] : (rd(mult(A, B), B) = A)) | (rd(mult(mult(mult(a, b), mult(a, b)), a), a) = mult(mult(a, b), mult(a, b)))),
% 5.45/5.62 inference(quant_inst,[status(thm)],[])).
% 5.45/5.62 tff(9910,plain,
% 5.45/5.62 (rd(mult(mult(mult(a, b), mult(a, b)), a), a) = mult(mult(a, b), mult(a, b))),
% 5.45/5.62 inference(unit_resolution,[status(thm)],[9909, 72])).
% 5.45/5.62 tff(9911,plain,
% 5.45/5.62 (mult(mult(mult(a, b), mult(a, b)), a) = mult(mult(mult(mult(a, b), a), b), a)),
% 5.45/5.62 inference(transitivity,[status(thm)],[9882, 4273])).
% 5.45/5.62 tff(9912,plain,
% 5.45/5.62 (rd(mult(mult(mult(a, b), mult(a, b)), a), a) = rd(mult(mult(mult(mult(a, b), a), b), a), a)),
% 5.45/5.62 inference(monotonicity,[status(thm)],[9911])).
% 5.45/5.62 tff(9913,plain,
% 5.45/5.62 (rd(mult(mult(mult(mult(a, b), a), b), a), a) = rd(mult(mult(mult(a, b), mult(a, b)), a), a)),
% 5.45/5.62 inference(symmetry,[status(thm)],[9912])).
% 5.45/5.62 tff(9914,plain,
% 5.45/5.62 ((~![B: $i, A: $i] : (rd(mult(A, B), B) = A)) | (rd(mult(mult(mult(mult(a, b), a), b), a), a) = mult(mult(mult(a, b), a), b))),
% 5.45/5.62 inference(quant_inst,[status(thm)],[])).
% 5.45/5.62 tff(9915,plain,
% 5.45/5.62 (rd(mult(mult(mult(mult(a, b), a), b), a), a) = mult(mult(mult(a, b), a), b)),
% 5.45/5.62 inference(unit_resolution,[status(thm)],[9914, 72])).
% 5.45/5.62 tff(9916,plain,
% 5.45/5.62 (mult(mult(mult(a, b), a), b) = rd(mult(mult(mult(mult(a, b), a), b), a), a)),
% 5.45/5.62 inference(symmetry,[status(thm)],[9915])).
% 5.45/5.62 tff(9917,plain,
% 5.45/5.62 (mult(a, mult(mult(b, a), b)) = mult(mult(mult(a, b), a), b)),
% 5.45/5.62 inference(symmetry,[status(thm)],[4269])).
% 5.45/5.62 tff(9918,plain,
% 5.45/5.62 (mult(a, mult(mult(b, a), b)) = mult(a, mult(a, mult(b, b)))),
% 5.45/5.62 inference(transitivity,[status(thm)],[9917, 9916, 9913, 9910, 9908, 9890])).
% 5.45/5.62 tff(9919,plain,
% 5.45/5.62 (ld(a, mult(a, mult(mult(b, a), b))) = ld(a, mult(a, mult(a, mult(b, b))))),
% 5.45/5.62 inference(monotonicity,[status(thm)],[9918])).
% 5.45/5.62 tff(9920,plain,
% 5.45/5.62 ((~![B: $i, A: $i] : (ld(A, mult(A, B)) = B)) | (ld(a, mult(a, mult(mult(b, a), b))) = mult(mult(b, a), b))),
% 5.45/5.62 inference(quant_inst,[status(thm)],[])).
% 5.45/5.62 tff(9921,plain,
% 5.45/5.62 (ld(a, mult(a, mult(mult(b, a), b))) = mult(mult(b, a), b)),
% 5.45/5.62 inference(unit_resolution,[status(thm)],[9920, 9])).
% 5.45/5.62 tff(9922,plain,
% 5.45/5.62 (mult(mult(b, a), b) = ld(a, mult(a, mult(mult(b, a), b)))),
% 5.45/5.62 inference(symmetry,[status(thm)],[9921])).
% 5.45/5.62 tff(9923,plain,
% 5.45/5.62 (mult(mult(b, a), b) = mult(mult(a, b), b)),
% 5.45/5.62 inference(transitivity,[status(thm)],[9922, 9919, 9888, 8549])).
% 5.45/5.62 tff(9924,plain,
% 5.45/5.62 (rd(mult(mult(b, a), b), b) = rd(mult(mult(a, b), b), b)),
% 5.45/5.62 inference(monotonicity,[status(thm)],[9923])).
% 5.45/5.62 tff(9925,plain,
% 5.45/5.62 (rd(mult(mult(a, b), b), b) = rd(mult(mult(b, a), b), b)),
% 5.45/5.62 inference(symmetry,[status(thm)],[9924])).
% 5.45/5.62 tff(9926,plain,
% 5.45/5.62 ((~![B: $i, A: $i] : (rd(mult(A, B), B) = A)) | (rd(mult(mult(a, b), b), b) = mult(a, b))),
% 5.45/5.62 inference(quant_inst,[status(thm)],[])).
% 5.45/5.62 tff(9927,plain,
% 5.45/5.62 (rd(mult(mult(a, b), b), b) = mult(a, b)),
% 5.45/5.62 inference(unit_resolution,[status(thm)],[9926, 72])).
% 5.45/5.62 tff(9928,plain,
% 5.45/5.62 (mult(a, b) = rd(mult(mult(a, b), b), b)),
% 5.45/5.62 inference(symmetry,[status(thm)],[9927])).
% 5.45/5.62 tff(9929,plain,
% 5.45/5.62 (mult(a, b) = mult(b, a)),
% 5.45/5.62 inference(transitivity,[status(thm)],[9928, 9925, 9886])).
% 5.45/5.62 tff(9930,plain,
% 5.45/5.62 (mult(mult(c, a), mult(a, b)) = mult(mult(c, a), mult(b, a))),
% 5.45/5.62 inference(monotonicity,[status(thm)],[9929])).
% 5.45/5.62 tff(9931,plain,
% 5.45/5.62 (mult(mult(c, a), mult(b, a)) = mult(mult(c, a), mult(a, b))),
% 5.45/5.62 inference(symmetry,[status(thm)],[9930])).
% 5.45/5.62 tff(9932,plain,
% 5.45/5.62 (mult(mult(c, mult(a, b)), a) = mult(c, mult(a, mult(a, b)))),
% 5.45/5.62 inference(transitivity,[status(thm)],[5991, 2808, 4461, 9931, 9883])).
% 5.45/5.62 tff(9933,plain,
% 5.45/5.62 ($false),
% 5.45/5.62 inference(unit_resolution,[status(thm)],[9015, 9932])).
% 5.45/5.62 tff(9934,plain,((mult(mult(a, a), mult(b, b)) = mult(a, mult(a, mult(b, b)))) | (mult(mult(c, mult(a, b)), a) = mult(c, mult(a, mult(a, b)))) | (~(mult(mult(c, mult(a, b)), a) = mult(c, mult(mult(a, b), a)))) | (~(mult(mult(c, a), mult(a, b)) = mult(c, mult(a, mult(a, b))))) | (~(mult(mult(mult(c, a), b), a) = mult(mult(c, a), mult(b, a)))) | (~(mult(mult(mult(a, b), mult(a, b)), a) = mult(mult(a, b), mult(mult(a, b), a))))), inference(lemma,lemma(discharge,[]))).
% 5.45/5.62 tff(9935,plain,
% 5.45/5.62 (~(mult(mult(mult(c, a), b), a) = mult(mult(c, a), mult(b, a)))),
% 5.45/5.62 inference(unit_resolution,[status(thm)],[9934, 9884, 9471, 9883, 9882, 5991])).
% 5.45/5.62 tff(9936,plain,
% 5.45/5.62 ((~(mult(mult(mult(c, a), a), b) = mult(mult(c, a), mult(a, b)))) | (~(mult(mult(mult(c, a), b), a) = mult(mult(c, a), mult(b, a))))),
% 5.45/5.62 inference(unit_resolution,[status(thm)],[9049, 9935])).
% 5.45/5.62 tff(9937,plain,
% 5.45/5.62 ($false),
% 5.45/5.62 inference(unit_resolution,[status(thm)],[9034, 9936, 9881])).
% 5.45/5.62 tff(9938,plain,((mult(mult(c, a), mult(a, b)) = mult(c, mult(mult(a, b), a))) | (mult(mult(a, a), mult(b, b)) = mult(a, mult(a, mult(b, b)))) | (~(mult(mult(c, a), mult(a, b)) = mult(c, mult(a, mult(a, b))))) | (~(mult(mult(mult(a, b), mult(a, b)), a) = mult(mult(a, b), mult(mult(a, b), a)))) | (~(mult(mult(c, mult(a, b)), a) = mult(c, mult(mult(a, b), a))))), inference(lemma,lemma(discharge,[]))).
% 5.45/5.62 tff(9939,plain,
% 5.45/5.62 (mult(mult(c, a), mult(a, b)) = mult(c, mult(mult(a, b), a))),
% 5.45/5.62 inference(unit_resolution,[status(thm)],[9938, 9875, 9471, 9874, 9820])).
% 5.45/5.62 tff(9940,plain,
% 5.45/5.62 (mult(mult(mult(mult(c, a), b), mult(a, a)), b) = mult(mult(mult(c, a), b), mult(b, mult(a, a)))),
% 5.45/5.62 inference(unit_resolution,[status(thm)],[9453, 9939, 1])).
% 5.45/5.62 tff(9941,plain,
% 5.45/5.62 (mult(mult(mult(c, a), b), mult(b, mult(a, a))) = mult(mult(mult(mult(c, a), b), mult(a, a)), b)),
% 5.45/5.62 inference(symmetry,[status(thm)],[9940])).
% 5.45/5.62 tff(9942,plain,
% 5.45/5.62 (mult(mult(mult(c, a), b), mult(mult(b, a), a)) = mult(mult(mult(c, a), b), mult(b, mult(a, a)))),
% 5.45/5.62 inference(monotonicity,[status(thm)],[4602])).
% 5.45/5.62 tff(9943,plain,
% 5.45/5.62 (mult(mult(mult(c, a), b), mult(mult(b, a), a)) = mult(mult(mult(c, a), b), mult(mult(a, a), b))),
% 5.45/5.62 inference(transitivity,[status(thm)],[9942, 9941, 4457, 9805, 4226, 9793, 8478])).
% 5.45/5.62 tff(9944,plain,
% 5.45/5.62 (ld(mult(mult(c, a), b), mult(mult(mult(c, a), b), mult(mult(b, a), a))) = ld(mult(mult(c, a), b), mult(mult(mult(c, a), b), mult(mult(a, a), b)))),
% 5.45/5.62 inference(monotonicity,[status(thm)],[9943])).
% 5.45/5.62 tff(9945,plain,
% 5.45/5.62 ((~![B: $i, A: $i] : (ld(A, mult(A, B)) = B)) | (ld(mult(mult(c, a), b), mult(mult(mult(c, a), b), mult(mult(b, a), a))) = mult(mult(b, a), a))),
% 5.45/5.62 inference(quant_inst,[status(thm)],[])).
% 5.45/5.62 tff(9946,plain,
% 5.45/5.62 (ld(mult(mult(c, a), b), mult(mult(mult(c, a), b), mult(mult(b, a), a))) = mult(mult(b, a), a)),
% 5.45/5.62 inference(unit_resolution,[status(thm)],[9945, 9])).
% 5.45/5.62 tff(9947,plain,
% 5.45/5.62 (mult(mult(b, a), a) = ld(mult(mult(c, a), b), mult(mult(mult(c, a), b), mult(mult(b, a), a)))),
% 5.45/5.62 inference(symmetry,[status(thm)],[9946])).
% 5.45/5.62 tff(9948,plain,
% 5.45/5.62 (mult(b, mult(a, a)) = mult(mult(a, a), b)),
% 5.45/5.62 inference(transitivity,[status(thm)],[8656, 9947, 9944, 9668])).
% 5.45/5.62 tff(9949,plain,
% 5.45/5.62 (mult(mult(b, mult(a, a)), b) = mult(mult(mult(a, a), b), b)),
% 5.45/5.62 inference(monotonicity,[status(thm)],[9948])).
% 5.45/5.62 tff(9950,plain,
% 5.45/5.62 (mult(c, mult(mult(b, mult(a, a)), b)) = mult(c, mult(mult(mult(a, a), b), b))),
% 5.45/5.62 inference(monotonicity,[status(thm)],[9949])).
% 5.45/5.62 tff(9951,plain,
% 5.45/5.62 (mult(c, mult(mult(mult(a, a), b), b)) = mult(c, mult(mult(b, mult(a, a)), b))),
% 5.45/5.62 inference(symmetry,[status(thm)],[9950])).
% 5.45/5.62 tff(9952,plain,
% 5.45/5.62 (mult(c, mult(mult(mult(a, a), b), b)) = mult(mult(mult(mult(c, b), a), a), b)),
% 5.45/5.62 inference(transitivity,[status(thm)],[9951, 8655, 9666])).
% 5.45/5.62 tff(9953,plain,
% 5.45/5.62 (mult(mult(c, mult(mult(mult(a, a), b), b)), a) = mult(mult(mult(mult(mult(c, b), a), a), b), a)),
% 5.45/5.62 inference(monotonicity,[status(thm)],[9952])).
% 5.45/5.62 tff(9954,plain,
% 5.45/5.62 (mult(mult(mult(mult(mult(c, b), a), a), b), a) = mult(mult(c, mult(mult(mult(a, a), b), b)), a)),
% 5.45/5.62 inference(symmetry,[status(thm)],[9953])).
% 5.45/5.62 tff(9955,plain,
% 5.45/5.62 ((~![C: $i, B: $i, A: $i] : (mult(mult(mult(A, B), C), B) = mult(A, mult(mult(B, C), B)))) | (mult(mult(mult(mult(mult(c, b), a), a), b), a) = mult(mult(mult(c, b), a), mult(mult(a, b), a)))),
% 5.45/5.62 inference(quant_inst,[status(thm)],[])).
% 5.45/5.62 tff(9956,plain,
% 5.45/5.62 (mult(mult(mult(mult(mult(c, b), a), a), b), a) = mult(mult(mult(c, b), a), mult(mult(a, b), a))),
% 5.45/5.62 inference(unit_resolution,[status(thm)],[9955, 860])).
% 5.45/5.62 tff(9957,plain,
% 5.45/5.63 (mult(mult(mult(c, b), a), mult(mult(a, b), a)) = mult(mult(mult(mult(mult(c, b), a), a), b), a)),
% 5.45/5.63 inference(symmetry,[status(thm)],[9956])).
% 5.45/5.63 tff(9958,plain,
% 5.45/5.63 (mult(mult(c, b), a) = mult(c, mult(b, a))),
% 5.45/5.63 inference(unit_resolution,[status(thm)],[4394, 9814])).
% 5.45/5.63 tff(9959,plain,
% 5.45/5.63 (mult(mult(mult(c, b), a), mult(mult(a, b), a)) = mult(mult(c, mult(b, a)), mult(mult(a, b), a))),
% 5.45/5.63 inference(monotonicity,[status(thm)],[9958])).
% 5.45/5.63 tff(9960,plain,
% 5.45/5.63 (mult(mult(c, mult(b, a)), mult(mult(a, b), a)) = mult(mult(mult(c, b), a), mult(mult(a, b), a))),
% 5.45/5.63 inference(symmetry,[status(thm)],[9959])).
% 5.45/5.63 tff(9961,plain,
% 5.45/5.63 (((~(mult(mult(c, mult(a, b)), mult(mult(a, b), a)) = mult(c, mult(mult(a, b), mult(mult(a, b), a))))) | (~(mult(mult(c, mult(mult(a, b), a)), mult(a, b)) = mult(c, mult(mult(mult(a, b), a), mult(a, b)))))) | (mult(mult(c, mult(mult(a, b), a)), mult(a, b)) = mult(c, mult(mult(mult(a, b), a), mult(a, b))))),
% 5.45/5.63 inference(tautology,[status(thm)],[])).
% 5.45/5.63 tff(9962,plain,
% 5.45/5.63 (mult(mult(c, mult(mult(a, b), a)), mult(a, b)) = mult(c, mult(mult(mult(a, b), a), mult(a, b)))),
% 5.45/5.63 inference(unit_resolution,[status(thm)],[9961, 9813])).
% 5.45/5.63 tff(9963,plain,
% 5.45/5.63 (mult(c, mult(mult(mult(a, b), a), mult(a, b))) = mult(mult(c, mult(mult(a, b), a)), mult(a, b))),
% 5.45/5.63 inference(symmetry,[status(thm)],[9962])).
% 5.45/5.63 tff(9964,plain,
% 5.45/5.63 ((~![B: $i, A: $i] : (ld(A, mult(A, B)) = B)) | (ld(c, mult(c, mult(mult(mult(a, b), a), mult(a, b)))) = mult(mult(mult(a, b), a), mult(a, b)))),
% 5.45/5.63 inference(quant_inst,[status(thm)],[])).
% 5.45/5.63 tff(9965,plain,
% 5.45/5.63 (ld(c, mult(c, mult(mult(mult(a, b), a), mult(a, b)))) = mult(mult(mult(a, b), a), mult(a, b))),
% 5.45/5.63 inference(unit_resolution,[status(thm)],[9964, 9])).
% 5.45/5.63 tff(9966,plain,
% 5.45/5.63 (mult(mult(mult(a, a), b), b) = mult(mult(b, mult(a, a)), b)),
% 5.45/5.63 inference(symmetry,[status(thm)],[9949])).
% 5.45/5.63 tff(9967,plain,
% 5.45/5.63 (mult(mult(c, a), mult(mult(mult(a, a), b), b)) = mult(mult(c, a), mult(mult(b, mult(a, a)), b))),
% 5.45/5.63 inference(monotonicity,[status(thm)],[9966])).
% 5.45/5.63 tff(9968,plain,
% 5.45/5.63 (mult(c, mult(mult(mult(mult(a, a), b), b), a)) = mult(c, mult(mult(mult(a, b), a), mult(a, b)))),
% 5.45/5.63 inference(transitivity,[status(thm)],[9672, 9967, 9372, 4457, 9805, 9962])).
% 5.45/5.63 tff(9969,plain,
% 5.45/5.63 (ld(c, mult(c, mult(mult(mult(mult(a, a), b), b), a))) = ld(c, mult(c, mult(mult(mult(a, b), a), mult(a, b))))),
% 5.45/5.63 inference(monotonicity,[status(thm)],[9968])).
% 5.45/5.63 tff(9970,plain,
% 5.45/5.63 ((~![B: $i, A: $i] : (ld(A, mult(A, B)) = B)) | (ld(c, mult(c, mult(mult(mult(mult(a, a), b), b), a))) = mult(mult(mult(mult(a, a), b), b), a))),
% 5.45/5.63 inference(quant_inst,[status(thm)],[])).
% 5.45/5.63 tff(9971,plain,
% 5.45/5.63 (ld(c, mult(c, mult(mult(mult(mult(a, a), b), b), a))) = mult(mult(mult(mult(a, a), b), b), a)),
% 5.45/5.63 inference(unit_resolution,[status(thm)],[9970, 9])).
% 5.45/5.63 tff(9972,plain,
% 5.45/5.63 (mult(mult(mult(mult(a, a), b), b), a) = ld(c, mult(c, mult(mult(mult(mult(a, a), b), b), a)))),
% 5.45/5.63 inference(symmetry,[status(thm)],[9971])).
% 5.45/5.63 tff(9973,plain,
% 5.45/5.63 (mult(mult(mult(b, a), a), b) = mult(mult(mult(a, a), b), b)),
% 5.45/5.63 inference(transitivity,[status(thm)],[4603, 9949])).
% 5.45/5.63 tff(9974,plain,
% 5.45/5.63 (mult(mult(mult(mult(b, a), a), b), a) = mult(mult(mult(mult(a, a), b), b), a)),
% 5.45/5.63 inference(monotonicity,[status(thm)],[9973])).
% 5.45/5.63 tff(9975,plain,
% 5.45/5.63 ((~![C: $i, B: $i, A: $i] : (mult(mult(mult(A, B), C), B) = mult(A, mult(mult(B, C), B)))) | (mult(mult(mult(mult(b, a), a), b), a) = mult(mult(b, a), mult(mult(a, b), a)))),
% 5.45/5.63 inference(quant_inst,[status(thm)],[])).
% 5.45/5.63 tff(9976,plain,
% 5.45/5.63 (mult(mult(mult(mult(b, a), a), b), a) = mult(mult(b, a), mult(mult(a, b), a))),
% 5.45/5.63 inference(unit_resolution,[status(thm)],[9975, 860])).
% 5.45/5.63 tff(9977,plain,
% 5.45/5.63 (mult(mult(b, a), mult(mult(a, b), a)) = mult(mult(mult(mult(b, a), a), b), a)),
% 5.45/5.63 inference(symmetry,[status(thm)],[9976])).
% 5.45/5.63 tff(9978,plain,
% 5.45/5.63 (mult(mult(b, a), mult(mult(a, b), a)) = mult(mult(mult(a, b), a), mult(a, b))),
% 5.45/5.63 inference(transitivity,[status(thm)],[9977, 9974, 9972, 9969, 9965])).
% 5.45/5.63 tff(9979,plain,
% 5.45/5.63 (mult(c, mult(mult(b, a), mult(mult(a, b), a))) = mult(c, mult(mult(mult(a, b), a), mult(a, b)))),
% 5.45/5.63 inference(monotonicity,[status(thm)],[9978])).
% 5.45/5.63 tff(9980,plain,
% 5.45/5.63 (mult(c, mult(mult(b, a), mult(mult(a, b), a))) = mult(mult(mult(c, a), b), mult(a, mult(a, b)))),
% 5.45/5.63 inference(transitivity,[status(thm)],[9979, 9963, 4226, 9793])).
% 5.45/5.63 tff(9981,plain,
% 5.45/5.63 (mult(mult(mult(c, mult(mult(a, b), a)), b), a) = mult(mult(c, mult(mult(a, b), a)), mult(b, a))),
% 5.45/5.63 inference(unit_resolution,[status(thm)],[4243, 9803])).
% 5.45/5.63 tff(9982,plain,
% 5.45/5.63 (mult(mult(c, mult(mult(a, b), a)), mult(b, a)) = mult(mult(mult(c, mult(mult(a, b), a)), b), a)),
% 5.45/5.63 inference(symmetry,[status(thm)],[9981])).
% 5.45/5.63 tff(9983,plain,
% 5.45/5.63 (mult(mult(c, mult(mult(a, b), a)), mult(b, a)) = mult(mult(mult(mult(c, a), b), mult(a, b)), a)),
% 5.45/5.63 inference(transitivity,[status(thm)],[9982, 4215, 4212, 9796])).
% 5.45/5.63 tff(9984,plain,
% 5.45/5.63 ((mult(mult(c, mult(mult(a, b), a)), mult(b, a)) = mult(c, mult(mult(b, a), mult(mult(a, b), a)))) <=> (mult(mult(mult(mult(c, a), b), mult(a, b)), a) = mult(mult(mult(c, a), b), mult(a, mult(a, b))))),
% 5.45/5.63 inference(monotonicity,[status(thm)],[9983, 9980])).
% 5.45/5.63 tff(9985,plain,
% 5.45/5.63 ((mult(mult(mult(mult(c, a), b), mult(a, b)), a) = mult(mult(mult(c, a), b), mult(a, mult(a, b)))) <=> (mult(mult(c, mult(mult(a, b), a)), mult(b, a)) = mult(c, mult(mult(b, a), mult(mult(a, b), a))))),
% 5.45/5.63 inference(symmetry,[status(thm)],[9984])).
% 5.45/5.63 tff(9986,plain,
% 5.45/5.63 ((~(mult(mult(mult(mult(c, a), b), mult(a, b)), a) = mult(mult(mult(c, a), b), mult(a, mult(a, b))))) <=> (~(mult(mult(c, mult(mult(a, b), a)), mult(b, a)) = mult(c, mult(mult(b, a), mult(mult(a, b), a)))))),
% 5.45/5.63 inference(monotonicity,[status(thm)],[9985])).
% 5.45/5.63 tff(9987,plain,
% 5.45/5.63 (~(mult(mult(c, mult(mult(a, b), a)), mult(b, a)) = mult(c, mult(mult(b, a), mult(mult(a, b), a))))),
% 5.45/5.63 inference(modus_ponens,[status(thm)],[9790, 9986])).
% 5.45/5.63 tff(9988,plain,
% 5.45/5.63 (((~(mult(mult(c, mult(b, a)), mult(mult(a, b), a)) = mult(c, mult(mult(mult(a, b), a), mult(b, a))))) | (~(mult(mult(c, mult(mult(a, b), a)), mult(b, a)) = mult(c, mult(mult(b, a), mult(mult(a, b), a)))))) | (mult(mult(c, mult(mult(a, b), a)), mult(b, a)) = mult(c, mult(mult(b, a), mult(mult(a, b), a))))),
% 5.45/5.63 inference(tautology,[status(thm)],[])).
% 5.45/5.63 tff(9989,plain,
% 5.45/5.63 ((~(mult(mult(c, mult(b, a)), mult(mult(a, b), a)) = mult(c, mult(mult(mult(a, b), a), mult(b, a))))) | (~(mult(mult(c, mult(mult(a, b), a)), mult(b, a)) = mult(c, mult(mult(b, a), mult(mult(a, b), a)))))),
% 5.45/5.63 inference(unit_resolution,[status(thm)],[9988, 9987])).
% 5.45/5.63 tff(9990,plain,
% 5.45/5.63 (((~![X0: $i, X1: $i, X2: $i] : ((~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X2, X1)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X1, X2)))))) | (~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X1, X2)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X2, X1)))))))) | ((~((~(mult(mult(c, mult(b, a)), mult(mult(a, b), a)) = mult(c, mult(mult(b, a), mult(mult(a, b), a))))) | (~(mult(mult(c, mult(mult(a, b), a)), mult(b, a)) = mult(c, mult(mult(mult(a, b), a), mult(b, a))))))) | (~((~(mult(mult(c, mult(b, a)), mult(mult(a, b), a)) = mult(c, mult(mult(mult(a, b), a), mult(b, a))))) | (~(mult(mult(c, mult(mult(a, b), a)), mult(b, a)) = mult(c, mult(mult(b, a), mult(mult(a, b), a))))))))) <=> ((~![X0: $i, X1: $i, X2: $i] : ((~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X2, X1)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X1, X2)))))) | (~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X1, X2)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X2, X1)))))))) | (~((~(mult(mult(c, mult(b, a)), mult(mult(a, b), a)) = mult(c, mult(mult(b, a), mult(mult(a, b), a))))) | (~(mult(mult(c, mult(mult(a, b), a)), mult(b, a)) = mult(c, mult(mult(mult(a, b), a), mult(b, a))))))) | (~((~(mult(mult(c, mult(b, a)), mult(mult(a, b), a)) = mult(c, mult(mult(mult(a, b), a), mult(b, a))))) | (~(mult(mult(c, mult(mult(a, b), a)), mult(b, a)) = mult(c, mult(mult(b, a), mult(mult(a, b), a))))))))),
% 5.45/5.63 inference(rewrite,[status(thm)],[])).
% 5.45/5.63 tff(9991,plain,
% 5.45/5.63 (((~((~(mult(mult(c, mult(b, a)), mult(mult(a, b), a)) = mult(c, mult(mult(mult(a, b), a), mult(b, a))))) | (~(mult(mult(c, mult(mult(a, b), a)), mult(b, a)) = mult(c, mult(mult(b, a), mult(mult(a, b), a))))))) | (~((~(mult(mult(c, mult(b, a)), mult(mult(a, b), a)) = mult(c, mult(mult(b, a), mult(mult(a, b), a))))) | (~(mult(mult(c, mult(mult(a, b), a)), mult(b, a)) = mult(c, mult(mult(mult(a, b), a), mult(b, a)))))))) <=> ((~((~(mult(mult(c, mult(b, a)), mult(mult(a, b), a)) = mult(c, mult(mult(b, a), mult(mult(a, b), a))))) | (~(mult(mult(c, mult(mult(a, b), a)), mult(b, a)) = mult(c, mult(mult(mult(a, b), a), mult(b, a))))))) | (~((~(mult(mult(c, mult(b, a)), mult(mult(a, b), a)) = mult(c, mult(mult(mult(a, b), a), mult(b, a))))) | (~(mult(mult(c, mult(mult(a, b), a)), mult(b, a)) = mult(c, mult(mult(b, a), mult(mult(a, b), a))))))))),
% 5.45/5.63 inference(rewrite,[status(thm)],[])).
% 5.45/5.63 tff(9992,plain,
% 5.45/5.63 (((~![X0: $i, X1: $i, X2: $i] : ((~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X2, X1)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X1, X2)))))) | (~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X1, X2)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X2, X1)))))))) | ((~((~(mult(mult(c, mult(b, a)), mult(mult(a, b), a)) = mult(c, mult(mult(mult(a, b), a), mult(b, a))))) | (~(mult(mult(c, mult(mult(a, b), a)), mult(b, a)) = mult(c, mult(mult(b, a), mult(mult(a, b), a))))))) | (~((~(mult(mult(c, mult(b, a)), mult(mult(a, b), a)) = mult(c, mult(mult(b, a), mult(mult(a, b), a))))) | (~(mult(mult(c, mult(mult(a, b), a)), mult(b, a)) = mult(c, mult(mult(mult(a, b), a), mult(b, a))))))))) <=> ((~![X0: $i, X1: $i, X2: $i] : ((~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X2, X1)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X1, X2)))))) | (~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X1, X2)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X2, X1)))))))) | ((~((~(mult(mult(c, mult(b, a)), mult(mult(a, b), a)) = mult(c, mult(mult(b, a), mult(mult(a, b), a))))) | (~(mult(mult(c, mult(mult(a, b), a)), mult(b, a)) = mult(c, mult(mult(mult(a, b), a), mult(b, a))))))) | (~((~(mult(mult(c, mult(b, a)), mult(mult(a, b), a)) = mult(c, mult(mult(mult(a, b), a), mult(b, a))))) | (~(mult(mult(c, mult(mult(a, b), a)), mult(b, a)) = mult(c, mult(mult(b, a), mult(mult(a, b), a)))))))))),
% 5.45/5.63 inference(monotonicity,[status(thm)],[9991])).
% 5.45/5.63 tff(9993,plain,
% 5.45/5.63 (((~![X0: $i, X1: $i, X2: $i] : ((~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X2, X1)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X1, X2)))))) | (~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X1, X2)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X2, X1)))))))) | ((~((~(mult(mult(c, mult(b, a)), mult(mult(a, b), a)) = mult(c, mult(mult(mult(a, b), a), mult(b, a))))) | (~(mult(mult(c, mult(mult(a, b), a)), mult(b, a)) = mult(c, mult(mult(b, a), mult(mult(a, b), a))))))) | (~((~(mult(mult(c, mult(b, a)), mult(mult(a, b), a)) = mult(c, mult(mult(b, a), mult(mult(a, b), a))))) | (~(mult(mult(c, mult(mult(a, b), a)), mult(b, a)) = mult(c, mult(mult(mult(a, b), a), mult(b, a))))))))) <=> ((~![X0: $i, X1: $i, X2: $i] : ((~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X2, X1)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X1, X2)))))) | (~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X1, X2)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X2, X1)))))))) | (~((~(mult(mult(c, mult(b, a)), mult(mult(a, b), a)) = mult(c, mult(mult(b, a), mult(mult(a, b), a))))) | (~(mult(mult(c, mult(mult(a, b), a)), mult(b, a)) = mult(c, mult(mult(mult(a, b), a), mult(b, a))))))) | (~((~(mult(mult(c, mult(b, a)), mult(mult(a, b), a)) = mult(c, mult(mult(mult(a, b), a), mult(b, a))))) | (~(mult(mult(c, mult(mult(a, b), a)), mult(b, a)) = mult(c, mult(mult(b, a), mult(mult(a, b), a))))))))),
% 5.45/5.63 inference(transitivity,[status(thm)],[9992, 9990])).
% 5.45/5.63 tff(9994,plain,
% 5.45/5.63 ((~![X0: $i, X1: $i, X2: $i] : ((~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X2, X1)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X1, X2)))))) | (~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X1, X2)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X2, X1)))))))) | ((~((~(mult(mult(c, mult(b, a)), mult(mult(a, b), a)) = mult(c, mult(mult(mult(a, b), a), mult(b, a))))) | (~(mult(mult(c, mult(mult(a, b), a)), mult(b, a)) = mult(c, mult(mult(b, a), mult(mult(a, b), a))))))) | (~((~(mult(mult(c, mult(b, a)), mult(mult(a, b), a)) = mult(c, mult(mult(b, a), mult(mult(a, b), a))))) | (~(mult(mult(c, mult(mult(a, b), a)), mult(b, a)) = mult(c, mult(mult(mult(a, b), a), mult(b, a))))))))),
% 5.45/5.63 inference(quant_inst,[status(thm)],[])).
% 5.45/5.63 tff(9995,plain,
% 5.45/5.63 ((~![X0: $i, X1: $i, X2: $i] : ((~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X2, X1)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X1, X2)))))) | (~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X1, X2)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X2, X1)))))))) | (~((~(mult(mult(c, mult(b, a)), mult(mult(a, b), a)) = mult(c, mult(mult(b, a), mult(mult(a, b), a))))) | (~(mult(mult(c, mult(mult(a, b), a)), mult(b, a)) = mult(c, mult(mult(mult(a, b), a), mult(b, a))))))) | (~((~(mult(mult(c, mult(b, a)), mult(mult(a, b), a)) = mult(c, mult(mult(mult(a, b), a), mult(b, a))))) | (~(mult(mult(c, mult(mult(a, b), a)), mult(b, a)) = mult(c, mult(mult(b, a), mult(mult(a, b), a)))))))),
% 5.45/5.63 inference(modus_ponens,[status(thm)],[9994, 9993])).
% 5.45/5.63 tff(9996,plain,
% 5.45/5.63 ((~((~(mult(mult(c, mult(b, a)), mult(mult(a, b), a)) = mult(c, mult(mult(b, a), mult(mult(a, b), a))))) | (~(mult(mult(c, mult(mult(a, b), a)), mult(b, a)) = mult(c, mult(mult(mult(a, b), a), mult(b, a))))))) | (~((~(mult(mult(c, mult(b, a)), mult(mult(a, b), a)) = mult(c, mult(mult(mult(a, b), a), mult(b, a))))) | (~(mult(mult(c, mult(mult(a, b), a)), mult(b, a)) = mult(c, mult(mult(b, a), mult(mult(a, b), a)))))))),
% 5.45/5.63 inference(unit_resolution,[status(thm)],[9995, 30])).
% 5.45/5.63 tff(9997,plain,
% 5.45/5.63 (~((~(mult(mult(c, mult(b, a)), mult(mult(a, b), a)) = mult(c, mult(mult(b, a), mult(mult(a, b), a))))) | (~(mult(mult(c, mult(mult(a, b), a)), mult(b, a)) = mult(c, mult(mult(mult(a, b), a), mult(b, a))))))),
% 5.45/5.63 inference(unit_resolution,[status(thm)],[9996, 9989])).
% 5.45/5.63 tff(9998,plain,
% 5.45/5.63 (((~(mult(mult(c, mult(b, a)), mult(mult(a, b), a)) = mult(c, mult(mult(b, a), mult(mult(a, b), a))))) | (~(mult(mult(c, mult(mult(a, b), a)), mult(b, a)) = mult(c, mult(mult(mult(a, b), a), mult(b, a)))))) | (mult(mult(c, mult(b, a)), mult(mult(a, b), a)) = mult(c, mult(mult(b, a), mult(mult(a, b), a))))),
% 5.45/5.63 inference(tautology,[status(thm)],[])).
% 5.45/5.63 tff(9999,plain,
% 5.45/5.63 (mult(mult(c, mult(b, a)), mult(mult(a, b), a)) = mult(c, mult(mult(b, a), mult(mult(a, b), a)))),
% 5.45/5.63 inference(unit_resolution,[status(thm)],[9998, 9997])).
% 5.45/5.63 tff(10000,plain,
% 5.45/5.63 (mult(c, mult(mult(b, a), mult(mult(a, b), a))) = mult(mult(c, mult(b, a)), mult(mult(a, b), a))),
% 5.45/5.63 inference(symmetry,[status(thm)],[9999])).
% 5.45/5.63 tff(10001,plain,
% 5.45/5.63 (mult(c, mult(mult(mult(a, b), a), mult(a, b))) = mult(c, mult(mult(b, a), mult(mult(a, b), a)))),
% 5.45/5.63 inference(symmetry,[status(thm)],[9979])).
% 5.45/5.63 tff(10002,plain,
% 5.45/5.63 (mult(mult(c, a), mult(mult(mult(a, a), b), b)) = mult(c, mult(a, mult(mult(mult(a, a), b), b)))),
% 5.45/5.63 inference(transitivity,[status(thm)],[9967, 9372, 4457, 9805, 9962, 10001, 10000, 9960, 9957, 9954, 9664])).
% 5.45/5.63 tff(10003,plain,
% 5.45/5.63 ($false),
% 5.45/5.63 inference(unit_resolution,[status(thm)],[9676, 10002])).
% 5.45/5.63 tff(10004,plain,((mult(a, b) = mult(b, a)) | (mult(mult(a, a), mult(b, b)) = mult(a, mult(a, mult(b, b))))), inference(lemma,lemma(discharge,[]))).
% 5.45/5.63 tff(10005,plain,
% 5.45/5.63 (mult(a, b) = mult(b, a)),
% 5.45/5.63 inference(unit_resolution,[status(thm)],[10004, 9471])).
% 5.45/5.63 tff(10006,plain,
% 5.45/5.63 (mult(b, a) = mult(a, b)),
% 5.45/5.63 inference(symmetry,[status(thm)],[10005])).
% 5.45/5.63 tff(10007,plain,
% 5.45/5.63 (mult(mult(b, a), b) = mult(mult(a, b), b)),
% 5.45/5.63 inference(monotonicity,[status(thm)],[10006])).
% 5.45/5.63 tff(10008,plain,
% 5.45/5.63 (mult(mult(a, b), b) = mult(mult(b, a), b)),
% 5.45/5.63 inference(symmetry,[status(thm)],[10007])).
% 5.45/5.63 tff(10009,plain,
% 5.45/5.63 (mult(a, mult(b, b)) = mult(mult(b, a), b)),
% 5.45/5.63 inference(transitivity,[status(thm)],[8549, 10008])).
% 5.45/5.63 tff(10010,plain,
% 5.45/5.63 (mult(a, mult(a, mult(b, b))) = mult(a, mult(mult(b, a), b))),
% 5.45/5.63 inference(monotonicity,[status(thm)],[10009])).
% 5.45/5.63 tff(10011,plain,
% 5.45/5.63 (mult(a, mult(mult(b, a), b)) = mult(a, mult(a, mult(b, b)))),
% 5.45/5.63 inference(symmetry,[status(thm)],[10010])).
% 5.45/5.63 tff(10012,plain,
% 5.45/5.63 (mult(a, mult(a, b)) = mult(a, mult(b, a))),
% 5.45/5.63 inference(monotonicity,[status(thm)],[10005])).
% 5.45/5.63 tff(10013,plain,
% 5.45/5.63 (mult(a, mult(b, a)) = mult(a, mult(a, b))),
% 5.45/5.63 inference(symmetry,[status(thm)],[10012])).
% 5.45/5.63 tff(10014,plain,
% 5.45/5.63 (mult(mult(a, b), a) = mult(mult(a, a), b)),
% 5.45/5.63 inference(transitivity,[status(thm)],[4193, 10013, 6193])).
% 5.45/5.63 tff(10015,plain,
% 5.45/5.63 (mult(mult(mult(a, b), a), b) = mult(mult(mult(a, a), b), b)),
% 5.45/5.63 inference(monotonicity,[status(thm)],[10014])).
% 5.45/5.63 tff(10016,plain,
% 5.45/5.63 (mult(mult(mult(a, a), b), b) = mult(mult(mult(a, b), a), b)),
% 5.45/5.63 inference(symmetry,[status(thm)],[10015])).
% 5.45/5.63 tff(10017,plain,
% 5.45/5.63 (mult(mult(a, a), mult(b, b)) = mult(a, mult(a, mult(b, b)))),
% 5.45/5.63 inference(transitivity,[status(thm)],[9644, 10016, 4269, 10011])).
% 5.45/5.63 tff(10018,plain,
% 5.45/5.63 ($false),
% 5.45/5.63 inference(unit_resolution,[status(thm)],[9471, 10017])).
% 5.45/5.63 tff(10019,plain,(mult(mult(a, a), mult(b, b)) = mult(a, mult(a, mult(b, b)))), inference(lemma,lemma(discharge,[]))).
% 5.45/5.63 tff(10020,plain,
% 5.45/5.63 (mult(a, mult(mult(a, b), b)) = mult(a, mult(a, mult(b, b)))),
% 5.45/5.63 inference(monotonicity,[status(thm)],[8548])).
% 5.45/5.63 tff(10021,plain,
% 5.45/5.63 ((mult(mult(a, mult(a, b)), b) = mult(a, mult(mult(a, b), b))) <=> (mult(mult(a, a), mult(b, b)) = mult(a, mult(a, mult(b, b))))),
% 5.45/5.63 inference(monotonicity,[status(thm)],[9892, 10020])).
% 5.45/5.63 tff(10022,plain,
% 5.45/5.63 ((mult(mult(a, a), mult(b, b)) = mult(a, mult(a, mult(b, b)))) <=> (mult(mult(a, mult(a, b)), b) = mult(a, mult(mult(a, b), b)))),
% 5.45/5.63 inference(symmetry,[status(thm)],[10021])).
% 5.45/5.63 tff(10023,assumption,(mult(mult(a, a), mult(b, b)) = mult(a, mult(a, mult(b, b)))), introduced(assumption)).
% 5.45/5.63 tff(10024,plain,
% 5.45/5.63 (mult(mult(a, mult(a, b)), b) = mult(a, mult(mult(a, b), b))),
% 5.45/5.63 inference(modus_ponens,[status(thm)],[10023, 10022])).
% 5.45/5.63 tff(10025,assumption,(~(mult(mult(a, mult(a, b)), b) = mult(a, mult(mult(a, b), b)))), introduced(assumption)).
% 5.45/5.63 tff(10026,plain,
% 5.45/5.63 ($false),
% 5.45/5.63 inference(unit_resolution,[status(thm)],[10025, 10024])).
% 5.45/5.63 tff(10027,plain,((~(mult(mult(a, a), mult(b, b)) = mult(a, mult(a, mult(b, b))))) | (mult(mult(a, mult(a, b)), b) = mult(a, mult(mult(a, b), b)))), inference(lemma,lemma(discharge,[]))).
% 5.45/5.63 tff(10028,plain,
% 5.45/5.63 (mult(mult(a, mult(a, b)), b) = mult(a, mult(mult(a, b), b))),
% 5.45/5.63 inference(unit_resolution,[status(thm)],[10027, 10019])).
% 5.45/5.63 tff(10029,plain,
% 5.45/5.63 ((mult(c, mult(mult(mult(mult(a, a), b), b), a)) = mult(mult(c, mult(mult(mult(a, a), b), b)), a)) <=> (mult(mult(c, mult(mult(mult(a, a), b), b)), a) = mult(c, mult(mult(mult(mult(a, a), b), b), a)))),
% 5.45/5.63 inference(commutativity,[status(thm)],[])).
% 5.45/5.63 tff(10030,plain,
% 5.45/5.63 (mult(mult(mult(mult(c, a), b), mult(a, a)), b) = mult(mult(mult(c, a), b), mult(b, mult(a, a)))),
% 5.45/5.63 inference(unit_resolution,[status(thm)],[9453, 9263, 1])).
% 5.45/5.63 tff(10031,plain,
% 5.45/5.63 (mult(mult(mult(mult(c, a), b), b), mult(a, a)) = mult(mult(mult(c, a), b), mult(mult(a, a), b))),
% 5.45/5.63 inference(unit_resolution,[status(thm)],[9469, 10030])).
% 5.45/5.63 tff(10032,assumption,(~(mult(mult(c, mult(mult(a, mult(b, b)), a)), a) = mult(c, mult(a, mult(mult(a, mult(b, b)), a))))), introduced(assumption)).
% 5.45/5.63 tff(10033,assumption,(mult(mult(a, mult(a, b)), b) = mult(a, mult(mult(a, b), b))), introduced(assumption)).
% 5.45/5.63 tff(10034,plain,
% 5.45/5.63 (((~(mult(mult(c, a), mult(mult(a, mult(b, b)), a)) = mult(c, mult(mult(mult(a, mult(b, b)), a), a)))) | (~(mult(mult(c, mult(mult(a, mult(b, b)), a)), a) = mult(c, mult(a, mult(mult(a, mult(b, b)), a)))))) | (mult(mult(c, mult(mult(a, mult(b, b)), a)), a) = mult(c, mult(a, mult(mult(a, mult(b, b)), a))))),
% 5.45/5.63 inference(tautology,[status(thm)],[])).
% 5.45/5.63 tff(10035,plain,
% 5.45/5.63 ((~(mult(mult(c, a), mult(mult(a, mult(b, b)), a)) = mult(c, mult(mult(mult(a, mult(b, b)), a), a)))) | (~(mult(mult(c, mult(mult(a, mult(b, b)), a)), a) = mult(c, mult(a, mult(mult(a, mult(b, b)), a)))))),
% 5.45/5.63 inference(unit_resolution,[status(thm)],[10034, 10032])).
% 5.45/5.63 tff(10036,plain,
% 5.45/5.63 (((~![X0: $i, X1: $i, X2: $i] : ((~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X2, X1)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X1, X2)))))) | (~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X1, X2)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X2, X1)))))))) | ((~((~(mult(mult(c, a), mult(mult(a, mult(b, b)), a)) = mult(c, mult(mult(mult(a, mult(b, b)), a), a)))) | (~(mult(mult(c, mult(mult(a, mult(b, b)), a)), a) = mult(c, mult(a, mult(mult(a, mult(b, b)), a))))))) | (~((~(mult(mult(c, a), mult(mult(a, mult(b, b)), a)) = mult(c, mult(a, mult(mult(a, mult(b, b)), a))))) | (~(mult(mult(c, mult(mult(a, mult(b, b)), a)), a) = mult(c, mult(mult(mult(a, mult(b, b)), a), a)))))))) <=> ((~![X0: $i, X1: $i, X2: $i] : ((~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X2, X1)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X1, X2)))))) | (~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X1, X2)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X2, X1)))))))) | (~((~(mult(mult(c, a), mult(mult(a, mult(b, b)), a)) = mult(c, mult(mult(mult(a, mult(b, b)), a), a)))) | (~(mult(mult(c, mult(mult(a, mult(b, b)), a)), a) = mult(c, mult(a, mult(mult(a, mult(b, b)), a))))))) | (~((~(mult(mult(c, a), mult(mult(a, mult(b, b)), a)) = mult(c, mult(a, mult(mult(a, mult(b, b)), a))))) | (~(mult(mult(c, mult(mult(a, mult(b, b)), a)), a) = mult(c, mult(mult(mult(a, mult(b, b)), a), a)))))))),
% 5.45/5.64 inference(rewrite,[status(thm)],[])).
% 5.45/5.64 tff(10037,plain,
% 5.45/5.64 ((~![X0: $i, X1: $i, X2: $i] : ((~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X2, X1)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X1, X2)))))) | (~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X1, X2)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X2, X1)))))))) | ((~((~(mult(mult(c, a), mult(mult(a, mult(b, b)), a)) = mult(c, mult(mult(mult(a, mult(b, b)), a), a)))) | (~(mult(mult(c, mult(mult(a, mult(b, b)), a)), a) = mult(c, mult(a, mult(mult(a, mult(b, b)), a))))))) | (~((~(mult(mult(c, a), mult(mult(a, mult(b, b)), a)) = mult(c, mult(a, mult(mult(a, mult(b, b)), a))))) | (~(mult(mult(c, mult(mult(a, mult(b, b)), a)), a) = mult(c, mult(mult(mult(a, mult(b, b)), a), a)))))))),
% 5.45/5.64 inference(quant_inst,[status(thm)],[])).
% 5.45/5.64 tff(10038,plain,
% 5.45/5.64 ((~![X0: $i, X1: $i, X2: $i] : ((~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X2, X1)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X1, X2)))))) | (~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X1, X2)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X2, X1)))))))) | (~((~(mult(mult(c, a), mult(mult(a, mult(b, b)), a)) = mult(c, mult(mult(mult(a, mult(b, b)), a), a)))) | (~(mult(mult(c, mult(mult(a, mult(b, b)), a)), a) = mult(c, mult(a, mult(mult(a, mult(b, b)), a))))))) | (~((~(mult(mult(c, a), mult(mult(a, mult(b, b)), a)) = mult(c, mult(a, mult(mult(a, mult(b, b)), a))))) | (~(mult(mult(c, mult(mult(a, mult(b, b)), a)), a) = mult(c, mult(mult(mult(a, mult(b, b)), a), a))))))),
% 5.45/5.64 inference(modus_ponens,[status(thm)],[10037, 10036])).
% 5.45/5.64 tff(10039,plain,
% 5.45/5.64 ((~((~(mult(mult(c, a), mult(mult(a, mult(b, b)), a)) = mult(c, mult(mult(mult(a, mult(b, b)), a), a)))) | (~(mult(mult(c, mult(mult(a, mult(b, b)), a)), a) = mult(c, mult(a, mult(mult(a, mult(b, b)), a))))))) | (~((~(mult(mult(c, a), mult(mult(a, mult(b, b)), a)) = mult(c, mult(a, mult(mult(a, mult(b, b)), a))))) | (~(mult(mult(c, mult(mult(a, mult(b, b)), a)), a) = mult(c, mult(mult(mult(a, mult(b, b)), a), a))))))),
% 5.45/5.64 inference(unit_resolution,[status(thm)],[10038, 30])).
% 5.45/5.64 tff(10040,plain,
% 5.45/5.64 (~((~(mult(mult(c, a), mult(mult(a, mult(b, b)), a)) = mult(c, mult(a, mult(mult(a, mult(b, b)), a))))) | (~(mult(mult(c, mult(mult(a, mult(b, b)), a)), a) = mult(c, mult(mult(mult(a, mult(b, b)), a), a)))))),
% 5.45/5.64 inference(unit_resolution,[status(thm)],[10039, 10035])).
% 5.45/5.64 tff(10041,plain,
% 5.45/5.64 (mult(mult(c, a), mult(mult(a, mult(b, b)), a)) = mult(c, mult(a, mult(mult(a, mult(b, b)), a)))),
% 5.45/5.64 inference(unit_resolution,[status(thm)],[9727, 10040])).
% 5.45/5.64 tff(10042,plain,
% 5.45/5.64 (mult(c, mult(a, mult(mult(a, mult(b, b)), a))) = mult(mult(c, a), mult(mult(a, mult(b, b)), a))),
% 5.45/5.64 inference(symmetry,[status(thm)],[10041])).
% 5.45/5.64 tff(10043,plain,
% 5.45/5.64 (mult(mult(c, a), mult(a, mult(b, b))) = mult(c, mult(mult(a, mult(b, b)), a))),
% 5.45/5.64 inference(unit_resolution,[status(thm)],[9583, 9487])).
% 5.45/5.64 tff(10044,plain,
% 5.45/5.64 (mult(c, mult(mult(mult(mult(a, a), b), b), a)) = mult(c, mult(a, mult(mult(a, mult(b, b)), a)))),
% 5.45/5.64 inference(symmetry,[status(thm)],[9726])).
% 5.45/5.64 tff(10045,plain,
% 5.45/5.64 (mult(mult(mult(mult(c, a), b), b), mult(a, a)) = mult(mult(mult(mult(mult(c, a), b), b), a), a)),
% 5.45/5.64 inference(symmetry,[status(thm)],[9716])).
% 5.45/5.64 tff(10046,plain,
% 5.45/5.64 (mult(mult(mult(c, a), b), mult(mult(a, a), b)) = mult(mult(mult(mult(c, a), b), b), mult(a, a))),
% 5.45/5.64 inference(symmetry,[status(thm)],[9703])).
% 5.45/5.64 tff(10047,plain,
% 5.45/5.64 (mult(mult(mult(mult(c, a), b), mult(a, b)), a) = mult(mult(mult(mult(mult(c, a), b), b), a), a)),
% 5.45/5.64 inference(transitivity,[status(thm)],[4313, 8478, 10046, 10045])).
% 5.45/5.64 tff(10048,plain,
% 5.45/5.64 (rd(mult(mult(mult(mult(c, a), b), mult(a, b)), a), a) = rd(mult(mult(mult(mult(mult(c, a), b), b), a), a), a)),
% 5.45/5.64 inference(monotonicity,[status(thm)],[10047])).
% 5.45/5.64 tff(10049,plain,
% 5.45/5.64 (rd(mult(mult(mult(mult(mult(c, a), b), b), a), a), a) = rd(mult(mult(mult(mult(c, a), b), mult(a, b)), a), a)),
% 5.45/5.64 inference(symmetry,[status(thm)],[10048])).
% 5.45/5.64 tff(10050,plain,
% 5.45/5.64 (mult(mult(mult(mult(c, a), b), b), a) = mult(mult(mult(c, a), mult(b, b)), a)),
% 5.45/5.64 inference(monotonicity,[status(thm)],[9558])).
% 5.45/5.64 tff(10051,plain,
% 5.45/5.64 (mult(mult(mult(c, a), mult(b, b)), a) = mult(mult(mult(mult(c, a), b), b), a)),
% 5.45/5.64 inference(symmetry,[status(thm)],[10050])).
% 5.45/5.64 tff(10052,assumption,(mult(mult(c, a), mult(a, mult(b, b))) = mult(c, mult(mult(a, mult(b, b)), a))), introduced(assumption)).
% 5.45/5.64 tff(10053,plain,
% 5.45/5.64 ((~![B: $i, A: $i] : (rd(mult(A, B), B) = A)) | (rd(mult(mult(mult(c, a), mult(a, mult(b, b))), a), a) = mult(mult(c, a), mult(a, mult(b, b))))),
% 5.45/5.64 inference(quant_inst,[status(thm)],[])).
% 5.45/5.64 tff(10054,plain,
% 5.45/5.64 (rd(mult(mult(mult(c, a), mult(a, mult(b, b))), a), a) = mult(mult(c, a), mult(a, mult(b, b)))),
% 5.45/5.64 inference(unit_resolution,[status(thm)],[10053, 72])).
% 5.45/5.64 tff(10055,plain,
% 5.45/5.64 (mult(c, mult(mult(mult(mult(a, a), b), b), a)) = mult(mult(c, mult(mult(mult(a, a), b), b)), a)),
% 5.45/5.64 inference(symmetry,[status(thm)],[9636])).
% 5.45/5.64 tff(10056,plain,
% 5.45/5.64 (mult(a, mult(mult(a, b), b)) = mult(mult(a, mult(a, b)), b)),
% 5.45/5.64 inference(symmetry,[status(thm)],[10033])).
% 5.45/5.64 tff(10057,plain,
% 5.45/5.64 (mult(a, mult(a, mult(b, b))) = mult(mult(mult(a, a), b), b)),
% 5.45/5.64 inference(transitivity,[status(thm)],[9889, 10056, 9891])).
% 5.45/5.64 tff(10058,plain,
% 5.45/5.64 (mult(mult(a, mult(a, mult(b, b))), a) = mult(mult(mult(mult(a, a), b), b), a)),
% 5.45/5.64 inference(monotonicity,[status(thm)],[10057])).
% 5.45/5.64 tff(10059,plain,
% 5.45/5.64 (mult(c, mult(mult(a, mult(a, mult(b, b))), a)) = mult(c, mult(mult(mult(mult(a, a), b), b), a))),
% 5.45/5.64 inference(monotonicity,[status(thm)],[10058])).
% 5.45/5.64 tff(10060,plain,
% 5.45/5.64 (mult(mult(mult(c, a), mult(a, mult(b, b))), a) = mult(c, mult(mult(a, mult(a, mult(b, b))), a))),
% 5.45/5.64 inference(unit_resolution,[status(thm)],[9495, 860])).
% 5.45/5.64 tff(10061,plain,
% 5.45/5.64 (mult(mult(mult(c, a), mult(a, mult(b, b))), a) = mult(mult(c, mult(mult(mult(a, a), b), b)), a)),
% 5.45/5.64 inference(transitivity,[status(thm)],[10060, 10059, 10055])).
% 5.45/5.64 tff(10062,plain,
% 5.45/5.64 (rd(mult(mult(mult(c, a), mult(a, mult(b, b))), a), a) = rd(mult(mult(c, mult(mult(mult(a, a), b), b)), a), a)),
% 5.45/5.64 inference(monotonicity,[status(thm)],[10061])).
% 5.45/5.64 tff(10063,plain,
% 5.45/5.64 (rd(mult(mult(c, mult(mult(mult(a, a), b), b)), a), a) = rd(mult(mult(mult(c, a), mult(a, mult(b, b))), a), a)),
% 5.45/5.64 inference(symmetry,[status(thm)],[10062])).
% 5.45/5.64 tff(10064,plain,
% 5.45/5.64 (mult(c, mult(mult(mult(a, a), b), b)) = mult(mult(mult(c, a), b), mult(a, b))),
% 5.45/5.64 inference(transitivity,[status(thm)],[9641, 10063, 10054, 10052, 9591, 10051, 9719, 10049, 9701])).
% 5.45/5.64 tff(10065,plain,
% 5.45/5.64 (mult(mult(c, mult(mult(mult(a, a), b), b)), a) = mult(mult(mult(mult(c, a), b), mult(a, b)), a)),
% 5.45/5.64 inference(monotonicity,[status(thm)],[10064])).
% 5.45/5.64 tff(10066,plain,
% 5.45/5.64 (mult(mult(mult(mult(c, a), b), mult(a, b)), a) = mult(mult(c, mult(mult(mult(a, a), b), b)), a)),
% 5.45/5.64 inference(symmetry,[status(thm)],[10065])).
% 5.45/5.64 tff(10067,plain,
% 5.45/5.64 (mult(c, mult(mult(a, mult(b, b)), a)) = mult(mult(mult(c, a), b), mult(a, b))),
% 5.45/5.64 inference(transitivity,[status(thm)],[9591, 10051, 9719, 10049, 9701])).
% 5.45/5.64 tff(10068,plain,
% 5.45/5.64 (mult(mult(c, mult(mult(a, mult(b, b)), a)), a) = mult(mult(mult(mult(c, a), b), mult(a, b)), a)),
% 5.45/5.64 inference(monotonicity,[status(thm)],[10067])).
% 5.45/5.64 tff(10069,plain,
% 5.45/5.64 (mult(mult(c, mult(mult(a, mult(b, b)), a)), a) = mult(c, mult(a, mult(mult(a, mult(b, b)), a)))),
% 5.45/5.64 inference(transitivity,[status(thm)],[10068, 10066, 9636, 10044])).
% 5.45/5.64 tff(10070,plain,
% 5.45/5.64 ($false),
% 5.45/5.64 inference(unit_resolution,[status(thm)],[10032, 10069])).
% 5.45/5.64 tff(10071,plain,((~(mult(mult(c, a), mult(a, mult(b, b))) = mult(c, mult(mult(a, mult(b, b)), a)))) | (mult(mult(c, mult(mult(a, mult(b, b)), a)), a) = mult(c, mult(a, mult(mult(a, mult(b, b)), a)))) | (~(mult(mult(c, mult(mult(mult(a, a), b), b)), a) = mult(c, mult(mult(mult(mult(a, a), b), b), a)))) | (~(mult(mult(a, mult(a, b)), b) = mult(a, mult(mult(a, b), b)))) | (~(mult(mult(mult(mult(c, a), b), b), mult(a, a)) = mult(mult(mult(c, a), b), mult(mult(a, a), b)))) | (~(mult(mult(mult(mult(c, a), b), mult(a, b)), a) = mult(mult(mult(c, a), b), mult(a, mult(a, b)))))), inference(lemma,lemma(discharge,[]))).
% 5.45/5.64 tff(10072,plain,
% 5.45/5.64 (~(mult(mult(c, mult(mult(mult(a, a), b), b)), a) = mult(c, mult(mult(mult(mult(a, a), b), b), a)))),
% 5.45/5.64 inference(unit_resolution,[status(thm)],[10071, 10043, 10033, 10032, 9703, 4313])).
% 5.45/5.64 tff(10073,plain,
% 5.45/5.64 ((~(mult(mult(c, a), mult(mult(mult(a, a), b), b)) = mult(c, mult(a, mult(mult(mult(a, a), b), b))))) | (~(mult(mult(c, mult(mult(mult(a, a), b), b)), a) = mult(c, mult(mult(mult(mult(a, a), b), b), a))))),
% 5.45/5.64 inference(unit_resolution,[status(thm)],[9649, 10072])).
% 5.45/5.64 tff(10074,plain,
% 5.45/5.64 (~((~(mult(mult(c, a), mult(mult(mult(a, a), b), b)) = mult(c, mult(mult(mult(mult(a, a), b), b), a)))) | (~(mult(mult(c, mult(mult(mult(a, a), b), b)), a) = mult(c, mult(a, mult(mult(mult(a, a), b), b))))))),
% 5.45/5.64 inference(unit_resolution,[status(thm)],[9661, 10073])).
% 5.45/5.64 tff(10075,plain,
% 5.45/5.64 (mult(mult(c, a), mult(mult(mult(a, a), b), b)) = mult(c, mult(mult(mult(mult(a, a), b), b), a))),
% 5.45/5.64 inference(unit_resolution,[status(thm)],[9670, 10074])).
% 5.45/5.64 tff(10076,plain,
% 5.45/5.64 (mult(mult(c, a), mult(mult(mult(a, a), b), b)) = mult(mult(c, a), mult(mult(a, mult(b, b)), a))),
% 5.45/5.64 inference(transitivity,[status(thm)],[10075, 9635, 10042])).
% 5.45/5.64 tff(10077,plain,
% 5.45/5.64 (ld(mult(c, a), mult(mult(c, a), mult(mult(mult(a, a), b), b))) = ld(mult(c, a), mult(mult(c, a), mult(mult(a, mult(b, b)), a)))),
% 5.45/5.64 inference(monotonicity,[status(thm)],[10076])).
% 5.45/5.64 tff(10078,plain,
% 5.45/5.64 (mult(mult(a, a), mult(b, b)) = mult(a, mult(a, mult(b, b)))),
% 5.45/5.64 inference(transitivity,[status(thm)],[9644, 9736, 10077, 9721, 9487])).
% 5.45/5.64 tff(10079,plain,
% 5.45/5.64 ($false),
% 5.45/5.64 inference(unit_resolution,[status(thm)],[9471, 10078])).
% 5.45/5.64 tff(10080,plain,((mult(mult(a, a), mult(b, b)) = mult(a, mult(a, mult(b, b)))) | (~(mult(mult(a, mult(a, b)), b) = mult(a, mult(mult(a, b), b)))) | (mult(mult(c, mult(mult(a, mult(b, b)), a)), a) = mult(c, mult(a, mult(mult(a, mult(b, b)), a)))) | (~(mult(mult(mult(mult(c, a), b), b), mult(a, a)) = mult(mult(mult(c, a), b), mult(mult(a, a), b)))) | (~(mult(mult(mult(mult(c, a), b), mult(a, b)), a) = mult(mult(mult(c, a), b), mult(a, mult(a, b)))))), inference(lemma,lemma(discharge,[]))).
% 5.45/5.64 tff(10081,plain,
% 5.45/5.64 (mult(mult(a, a), mult(b, b)) = mult(a, mult(a, mult(b, b)))),
% 5.45/5.64 inference(unit_resolution,[status(thm)],[10080, 10032, 10033, 10031, 4313])).
% 5.45/5.64 tff(10082,plain,
% 5.45/5.64 ((~![B: $i, A: $i] : (ld(A, mult(A, B)) = B)) | (ld(mult(c, a), mult(mult(c, a), mult(mult(b, a), b))) = mult(mult(b, a), b))),
% 5.45/5.64 inference(quant_inst,[status(thm)],[])).
% 5.45/5.64 tff(10083,plain,
% 5.45/5.64 (ld(mult(c, a), mult(mult(c, a), mult(mult(b, a), b))) = mult(mult(b, a), b)),
% 5.45/5.64 inference(unit_resolution,[status(thm)],[10082, 9])).
% 5.45/5.64 tff(10084,plain,
% 5.45/5.64 ((~![C: $i, B: $i, A: $i] : (mult(mult(mult(A, B), C), B) = mult(A, mult(mult(B, C), B)))) | (mult(mult(mult(mult(c, a), a), mult(b, b)), a) = mult(mult(c, a), mult(mult(a, mult(b, b)), a)))),
% 5.45/5.64 inference(quant_inst,[status(thm)],[])).
% 5.45/5.64 tff(10085,plain,
% 5.45/5.64 (mult(mult(mult(mult(c, a), a), mult(b, b)), a) = mult(mult(c, a), mult(mult(a, mult(b, b)), a))),
% 5.45/5.64 inference(unit_resolution,[status(thm)],[10084, 860])).
% 5.45/5.64 tff(10086,plain,
% 5.45/5.64 (mult(mult(c, a), mult(mult(a, mult(b, b)), a)) = mult(mult(mult(mult(c, a), a), mult(b, b)), a)),
% 5.45/5.64 inference(symmetry,[status(thm)],[10085])).
% 5.45/5.64 tff(10087,assumption,(mult(mult(c, a), mult(mult(a, mult(b, b)), a)) = mult(c, mult(a, mult(mult(a, mult(b, b)), a)))), introduced(assumption)).
% 5.45/5.64 tff(10088,plain,
% 5.45/5.64 (mult(c, mult(a, mult(mult(a, mult(b, b)), a))) = mult(mult(c, a), mult(mult(a, mult(b, b)), a))),
% 5.45/5.64 inference(symmetry,[status(thm)],[10087])).
% 5.45/5.64 tff(10089,plain,
% 5.45/5.64 (mult(a, mult(a, mult(b, b))) = mult(mult(a, a), mult(b, b))),
% 5.45/5.64 inference(symmetry,[status(thm)],[10023])).
% 5.45/5.64 tff(10090,plain,
% 5.45/5.64 (mult(a, mult(a, mult(b, b))) = mult(mult(mult(a, a), b), b)),
% 5.45/5.64 inference(transitivity,[status(thm)],[10089, 9644])).
% 5.45/5.64 tff(10091,plain,
% 5.45/5.64 (mult(mult(a, mult(a, mult(b, b))), a) = mult(mult(mult(mult(a, a), b), b), a)),
% 5.45/5.64 inference(monotonicity,[status(thm)],[10090])).
% 5.45/5.64 tff(10092,plain,
% 5.45/5.64 (mult(mult(a, mult(a, mult(b, b))), a) = mult(a, mult(mult(a, mult(b, b)), a))),
% 5.45/5.64 inference(transitivity,[status(thm)],[10091, 9633, 9619])).
% 5.45/5.64 tff(10093,plain,
% 5.45/5.64 (mult(c, mult(mult(a, mult(a, mult(b, b))), a)) = mult(c, mult(a, mult(mult(a, mult(b, b)), a)))),
% 5.45/5.64 inference(monotonicity,[status(thm)],[10092])).
% 5.45/5.64 tff(10094,plain,
% 5.45/5.64 (mult(mult(mult(c, a), mult(a, mult(b, b))), a) = mult(mult(mult(mult(c, a), a), mult(b, b)), a)),
% 5.45/5.64 inference(transitivity,[status(thm)],[10060, 10093, 10088, 10086])).
% 5.45/5.64 tff(10095,plain,
% 5.45/5.64 (rd(mult(mult(mult(c, a), mult(a, mult(b, b))), a), a) = rd(mult(mult(mult(mult(c, a), a), mult(b, b)), a), a)),
% 5.45/5.64 inference(monotonicity,[status(thm)],[10094])).
% 5.45/5.64 tff(10096,plain,
% 5.45/5.64 (rd(mult(mult(mult(mult(c, a), a), mult(b, b)), a), a) = rd(mult(mult(mult(c, a), mult(a, mult(b, b))), a), a)),
% 5.45/5.64 inference(symmetry,[status(thm)],[10095])).
% 5.45/5.64 tff(10097,plain,
% 5.45/5.64 ((~![B: $i, A: $i] : (rd(mult(A, B), B) = A)) | (rd(mult(mult(mult(mult(c, a), a), mult(b, b)), a), a) = mult(mult(mult(c, a), a), mult(b, b)))),
% 5.45/5.64 inference(quant_inst,[status(thm)],[])).
% 5.45/5.64 tff(10098,plain,
% 5.45/5.64 (rd(mult(mult(mult(mult(c, a), a), mult(b, b)), a), a) = mult(mult(mult(c, a), a), mult(b, b))),
% 5.45/5.64 inference(unit_resolution,[status(thm)],[10097, 72])).
% 5.45/5.64 tff(10099,plain,
% 5.45/5.64 (mult(mult(mult(c, a), a), mult(b, b)) = rd(mult(mult(mult(mult(c, a), a), mult(b, b)), a), a)),
% 5.45/5.64 inference(symmetry,[status(thm)],[10098])).
% 5.45/5.64 tff(10100,plain,
% 5.45/5.64 (((~![X0: $i, X1: $i, X2: $i] : ((~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X2, X1)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X1, X2)))))) | (~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X1, X2)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X2, X1)))))))) | (mult(mult(mult(mult(c, a), a), b), b) = mult(mult(mult(c, a), a), mult(b, b)))) <=> ((~![X0: $i, X1: $i, X2: $i] : ((~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X2, X1)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X1, X2)))))) | (~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X1, X2)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X2, X1)))))))) | (mult(mult(mult(mult(c, a), a), b), b) = mult(mult(mult(c, a), a), mult(b, b))))),
% 5.45/5.64 inference(rewrite,[status(thm)],[])).
% 5.45/5.64 tff(10101,plain,
% 5.45/5.64 (((mult(mult(mult(mult(c, a), a), b), b) = mult(mult(mult(c, a), a), mult(b, b))) | (mult(mult(mult(mult(c, a), a), b), b) = mult(mult(mult(c, a), a), mult(b, b)))) <=> (mult(mult(mult(mult(c, a), a), b), b) = mult(mult(mult(c, a), a), mult(b, b)))),
% 5.45/5.64 inference(rewrite,[status(thm)],[])).
% 5.45/5.64 tff(10102,plain,
% 5.45/5.64 ((~(~(mult(mult(mult(mult(c, a), a), b), b) = mult(mult(mult(c, a), a), mult(b, b))))) <=> (mult(mult(mult(mult(c, a), a), b), b) = mult(mult(mult(c, a), a), mult(b, b)))),
% 5.45/5.64 inference(rewrite,[status(thm)],[])).
% 5.45/5.64 tff(10103,plain,
% 5.45/5.64 (((~(mult(mult(mult(mult(c, a), a), b), b) = mult(mult(mult(c, a), a), mult(b, b)))) | (~(mult(mult(mult(mult(c, a), a), b), b) = mult(mult(mult(c, a), a), mult(b, b))))) <=> (~(mult(mult(mult(mult(c, a), a), b), b) = mult(mult(mult(c, a), a), mult(b, b))))),
% 5.45/5.64 inference(rewrite,[status(thm)],[])).
% 5.45/5.64 tff(10104,plain,
% 5.45/5.64 ((~((~(mult(mult(mult(mult(c, a), a), b), b) = mult(mult(mult(c, a), a), mult(b, b)))) | (~(mult(mult(mult(mult(c, a), a), b), b) = mult(mult(mult(c, a), a), mult(b, b)))))) <=> (~(~(mult(mult(mult(mult(c, a), a), b), b) = mult(mult(mult(c, a), a), mult(b, b)))))),
% 5.45/5.65 inference(monotonicity,[status(thm)],[10103])).
% 5.45/5.65 tff(10105,plain,
% 5.45/5.65 ((~((~(mult(mult(mult(mult(c, a), a), b), b) = mult(mult(mult(c, a), a), mult(b, b)))) | (~(mult(mult(mult(mult(c, a), a), b), b) = mult(mult(mult(c, a), a), mult(b, b)))))) <=> (mult(mult(mult(mult(c, a), a), b), b) = mult(mult(mult(c, a), a), mult(b, b)))),
% 5.45/5.65 inference(transitivity,[status(thm)],[10104, 10102])).
% 5.45/5.65 tff(10106,plain,
% 5.45/5.65 (((~((~(mult(mult(mult(mult(c, a), a), b), b) = mult(mult(mult(c, a), a), mult(b, b)))) | (~(mult(mult(mult(mult(c, a), a), b), b) = mult(mult(mult(c, a), a), mult(b, b)))))) | (~((~(mult(mult(mult(mult(c, a), a), b), b) = mult(mult(mult(c, a), a), mult(b, b)))) | (~(mult(mult(mult(mult(c, a), a), b), b) = mult(mult(mult(c, a), a), mult(b, b))))))) <=> ((mult(mult(mult(mult(c, a), a), b), b) = mult(mult(mult(c, a), a), mult(b, b))) | (mult(mult(mult(mult(c, a), a), b), b) = mult(mult(mult(c, a), a), mult(b, b))))),
% 5.45/5.65 inference(monotonicity,[status(thm)],[10105, 10105])).
% 5.45/5.65 tff(10107,plain,
% 5.45/5.65 (((~((~(mult(mult(mult(mult(c, a), a), b), b) = mult(mult(mult(c, a), a), mult(b, b)))) | (~(mult(mult(mult(mult(c, a), a), b), b) = mult(mult(mult(c, a), a), mult(b, b)))))) | (~((~(mult(mult(mult(mult(c, a), a), b), b) = mult(mult(mult(c, a), a), mult(b, b)))) | (~(mult(mult(mult(mult(c, a), a), b), b) = mult(mult(mult(c, a), a), mult(b, b))))))) <=> (mult(mult(mult(mult(c, a), a), b), b) = mult(mult(mult(c, a), a), mult(b, b)))),
% 5.45/5.65 inference(transitivity,[status(thm)],[10106, 10101])).
% 5.45/5.65 tff(10108,plain,
% 5.45/5.65 (((~![X0: $i, X1: $i, X2: $i] : ((~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X2, X1)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X1, X2)))))) | (~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X1, X2)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X2, X1)))))))) | ((~((~(mult(mult(mult(mult(c, a), a), b), b) = mult(mult(mult(c, a), a), mult(b, b)))) | (~(mult(mult(mult(mult(c, a), a), b), b) = mult(mult(mult(c, a), a), mult(b, b)))))) | (~((~(mult(mult(mult(mult(c, a), a), b), b) = mult(mult(mult(c, a), a), mult(b, b)))) | (~(mult(mult(mult(mult(c, a), a), b), b) = mult(mult(mult(c, a), a), mult(b, b)))))))) <=> ((~![X0: $i, X1: $i, X2: $i] : ((~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X2, X1)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X1, X2)))))) | (~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X1, X2)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X2, X1)))))))) | (mult(mult(mult(mult(c, a), a), b), b) = mult(mult(mult(c, a), a), mult(b, b))))),
% 5.45/5.65 inference(monotonicity,[status(thm)],[10107])).
% 5.45/5.65 tff(10109,plain,
% 5.45/5.65 (((~![X0: $i, X1: $i, X2: $i] : ((~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X2, X1)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X1, X2)))))) | (~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X1, X2)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X2, X1)))))))) | ((~((~(mult(mult(mult(mult(c, a), a), b), b) = mult(mult(mult(c, a), a), mult(b, b)))) | (~(mult(mult(mult(mult(c, a), a), b), b) = mult(mult(mult(c, a), a), mult(b, b)))))) | (~((~(mult(mult(mult(mult(c, a), a), b), b) = mult(mult(mult(c, a), a), mult(b, b)))) | (~(mult(mult(mult(mult(c, a), a), b), b) = mult(mult(mult(c, a), a), mult(b, b)))))))) <=> ((~![X0: $i, X1: $i, X2: $i] : ((~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X2, X1)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X1, X2)))))) | (~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X1, X2)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X2, X1)))))))) | (mult(mult(mult(mult(c, a), a), b), b) = mult(mult(mult(c, a), a), mult(b, b))))),
% 5.45/5.65 inference(transitivity,[status(thm)],[10108, 10100])).
% 5.45/5.65 tff(10110,plain,
% 5.45/5.65 ((~![X0: $i, X1: $i, X2: $i] : ((~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X2, X1)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X1, X2)))))) | (~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X1, X2)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X2, X1)))))))) | ((~((~(mult(mult(mult(mult(c, a), a), b), b) = mult(mult(mult(c, a), a), mult(b, b)))) | (~(mult(mult(mult(mult(c, a), a), b), b) = mult(mult(mult(c, a), a), mult(b, b)))))) | (~((~(mult(mult(mult(mult(c, a), a), b), b) = mult(mult(mult(c, a), a), mult(b, b)))) | (~(mult(mult(mult(mult(c, a), a), b), b) = mult(mult(mult(c, a), a), mult(b, b)))))))),
% 5.45/5.65 inference(quant_inst,[status(thm)],[])).
% 5.45/5.65 tff(10111,plain,
% 5.45/5.65 ((~![X0: $i, X1: $i, X2: $i] : ((~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X2, X1)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X1, X2)))))) | (~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X1, X2)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X2, X1)))))))) | (mult(mult(mult(mult(c, a), a), b), b) = mult(mult(mult(c, a), a), mult(b, b)))),
% 5.45/5.65 inference(modus_ponens,[status(thm)],[10110, 10109])).
% 5.45/5.65 tff(10112,plain,
% 5.45/5.65 (mult(mult(mult(mult(c, a), a), b), b) = mult(mult(mult(c, a), a), mult(b, b))),
% 5.45/5.65 inference(unit_resolution,[status(thm)],[10111, 30])).
% 5.45/5.65 tff(10113,plain,
% 5.45/5.65 (((~(mult(mult(mult(c, mult(mult(a, b), a)), b), a) = mult(mult(c, mult(mult(a, b), a)), mult(b, a)))) | (~(mult(mult(mult(c, mult(mult(a, b), a)), a), b) = mult(mult(c, mult(mult(a, b), a)), mult(a, b))))) | (mult(mult(mult(c, mult(mult(a, b), a)), b), a) = mult(mult(c, mult(mult(a, b), a)), mult(b, a)))),
% 5.45/5.65 inference(tautology,[status(thm)],[])).
% 5.45/5.65 tff(10114,plain,
% 5.45/5.65 ((~(mult(mult(mult(c, mult(mult(a, b), a)), b), a) = mult(mult(c, mult(mult(a, b), a)), mult(b, a)))) | (~(mult(mult(mult(c, mult(mult(a, b), a)), a), b) = mult(mult(c, mult(mult(a, b), a)), mult(a, b))))),
% 5.45/5.65 inference(unit_resolution,[status(thm)],[10113, 9763])).
% 5.45/5.65 tff(10115,plain,
% 5.45/5.65 (((~![X0: $i, X1: $i, X2: $i] : ((~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X2, X1)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X1, X2)))))) | (~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X1, X2)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X2, X1)))))))) | ((~((~(mult(mult(mult(c, mult(mult(a, b), a)), b), a) = mult(mult(c, mult(mult(a, b), a)), mult(a, b)))) | (~(mult(mult(mult(c, mult(mult(a, b), a)), a), b) = mult(mult(c, mult(mult(a, b), a)), mult(b, a)))))) | (~((~(mult(mult(mult(c, mult(mult(a, b), a)), b), a) = mult(mult(c, mult(mult(a, b), a)), mult(b, a)))) | (~(mult(mult(mult(c, mult(mult(a, b), a)), a), b) = mult(mult(c, mult(mult(a, b), a)), mult(a, b)))))))) <=> ((~![X0: $i, X1: $i, X2: $i] : ((~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X2, X1)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X1, X2)))))) | (~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X1, X2)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X2, X1)))))))) | (~((~(mult(mult(mult(c, mult(mult(a, b), a)), b), a) = mult(mult(c, mult(mult(a, b), a)), mult(a, b)))) | (~(mult(mult(mult(c, mult(mult(a, b), a)), a), b) = mult(mult(c, mult(mult(a, b), a)), mult(b, a)))))) | (~((~(mult(mult(mult(c, mult(mult(a, b), a)), b), a) = mult(mult(c, mult(mult(a, b), a)), mult(b, a)))) | (~(mult(mult(mult(c, mult(mult(a, b), a)), a), b) = mult(mult(c, mult(mult(a, b), a)), mult(a, b)))))))),
% 5.45/5.65 inference(rewrite,[status(thm)],[])).
% 5.45/5.65 tff(10116,plain,
% 5.45/5.65 ((~![X0: $i, X1: $i, X2: $i] : ((~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X2, X1)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X1, X2)))))) | (~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X1, X2)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X2, X1)))))))) | ((~((~(mult(mult(mult(c, mult(mult(a, b), a)), b), a) = mult(mult(c, mult(mult(a, b), a)), mult(a, b)))) | (~(mult(mult(mult(c, mult(mult(a, b), a)), a), b) = mult(mult(c, mult(mult(a, b), a)), mult(b, a)))))) | (~((~(mult(mult(mult(c, mult(mult(a, b), a)), b), a) = mult(mult(c, mult(mult(a, b), a)), mult(b, a)))) | (~(mult(mult(mult(c, mult(mult(a, b), a)), a), b) = mult(mult(c, mult(mult(a, b), a)), mult(a, b)))))))),
% 5.45/5.65 inference(quant_inst,[status(thm)],[])).
% 5.45/5.65 tff(10117,plain,
% 5.45/5.65 ((~![X0: $i, X1: $i, X2: $i] : ((~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X2, X1)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X1, X2)))))) | (~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X1, X2)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X2, X1)))))))) | (~((~(mult(mult(mult(c, mult(mult(a, b), a)), b), a) = mult(mult(c, mult(mult(a, b), a)), mult(a, b)))) | (~(mult(mult(mult(c, mult(mult(a, b), a)), a), b) = mult(mult(c, mult(mult(a, b), a)), mult(b, a)))))) | (~((~(mult(mult(mult(c, mult(mult(a, b), a)), b), a) = mult(mult(c, mult(mult(a, b), a)), mult(b, a)))) | (~(mult(mult(mult(c, mult(mult(a, b), a)), a), b) = mult(mult(c, mult(mult(a, b), a)), mult(a, b))))))),
% 5.45/5.65 inference(modus_ponens,[status(thm)],[10116, 10115])).
% 5.45/5.65 tff(10118,plain,
% 5.45/5.65 ((~((~(mult(mult(mult(c, mult(mult(a, b), a)), b), a) = mult(mult(c, mult(mult(a, b), a)), mult(a, b)))) | (~(mult(mult(mult(c, mult(mult(a, b), a)), a), b) = mult(mult(c, mult(mult(a, b), a)), mult(b, a)))))) | (~((~(mult(mult(mult(c, mult(mult(a, b), a)), b), a) = mult(mult(c, mult(mult(a, b), a)), mult(b, a)))) | (~(mult(mult(mult(c, mult(mult(a, b), a)), a), b) = mult(mult(c, mult(mult(a, b), a)), mult(a, b))))))),
% 5.45/5.65 inference(unit_resolution,[status(thm)],[10117, 30])).
% 5.45/5.65 tff(10119,plain,
% 5.45/5.65 (~((~(mult(mult(mult(c, mult(mult(a, b), a)), b), a) = mult(mult(c, mult(mult(a, b), a)), mult(a, b)))) | (~(mult(mult(mult(c, mult(mult(a, b), a)), a), b) = mult(mult(c, mult(mult(a, b), a)), mult(b, a)))))),
% 5.45/5.65 inference(unit_resolution,[status(thm)],[10118, 10114])).
% 5.45/5.65 tff(10120,plain,
% 5.45/5.65 (((~(mult(mult(mult(c, mult(mult(a, b), a)), b), a) = mult(mult(c, mult(mult(a, b), a)), mult(a, b)))) | (~(mult(mult(mult(c, mult(mult(a, b), a)), a), b) = mult(mult(c, mult(mult(a, b), a)), mult(b, a))))) | (mult(mult(mult(c, mult(mult(a, b), a)), b), a) = mult(mult(c, mult(mult(a, b), a)), mult(a, b)))),
% 5.45/5.65 inference(tautology,[status(thm)],[])).
% 5.45/5.65 tff(10121,plain,
% 5.45/5.65 (mult(mult(mult(c, mult(mult(a, b), a)), b), a) = mult(mult(c, mult(mult(a, b), a)), mult(a, b))),
% 5.45/5.65 inference(unit_resolution,[status(thm)],[10120, 10119])).
% 5.45/5.65 tff(10122,assumption,(~(mult(mult(a, mult(b, b)), a) = mult(a, mult(a, mult(b, b))))), introduced(assumption)).
% 5.45/5.65 tff(10123,plain,
% 5.45/5.65 ((~(mult(mult(a, a), mult(b, b)) = mult(a, mult(mult(b, b), a)))) | (~(mult(mult(a, mult(b, b)), a) = mult(a, mult(a, mult(b, b)))))),
% 5.45/5.65 inference(unit_resolution,[status(thm)],[9486, 10122])).
% 5.45/5.65 tff(10124,plain,
% 5.45/5.65 (~((~(mult(mult(a, a), mult(b, b)) = mult(a, mult(a, mult(b, b))))) | (~(mult(mult(a, mult(b, b)), a) = mult(a, mult(mult(b, b), a)))))),
% 5.45/5.65 inference(unit_resolution,[status(thm)],[9484, 10123])).
% 5.45/5.65 tff(10125,plain,
% 5.45/5.65 (((~(mult(mult(a, a), mult(b, b)) = mult(a, mult(a, mult(b, b))))) | (~(mult(mult(a, mult(b, b)), a) = mult(a, mult(mult(b, b), a))))) | (mult(mult(a, mult(b, b)), a) = mult(a, mult(mult(b, b), a)))),
% 5.45/5.65 inference(tautology,[status(thm)],[])).
% 5.45/5.65 tff(10126,plain,
% 5.45/5.65 (mult(mult(a, mult(b, b)), a) = mult(a, mult(mult(b, b), a))),
% 5.45/5.65 inference(unit_resolution,[status(thm)],[10125, 10124])).
% 5.45/5.65 tff(10127,plain,
% 5.45/5.65 ((mult(a, mult(mult(b, b), a)) = mult(mult(a, a), mult(b, b))) <=> (mult(mult(a, a), mult(b, b)) = mult(a, mult(mult(b, b), a)))),
% 5.45/5.65 inference(commutativity,[status(thm)],[])).
% 5.45/5.65 tff(10128,plain,
% 5.45/5.65 ((mult(mult(a, mult(b, b)), a) = mult(a, mult(a, mult(b, b)))) <=> (mult(a, mult(mult(b, b), a)) = mult(mult(a, a), mult(b, b)))),
% 5.45/5.65 inference(monotonicity,[status(thm)],[10126, 10089])).
% 5.45/5.65 tff(10129,plain,
% 5.45/5.65 ((mult(mult(a, mult(b, b)), a) = mult(a, mult(a, mult(b, b)))) <=> (mult(mult(a, a), mult(b, b)) = mult(a, mult(mult(b, b), a)))),
% 5.45/5.65 inference(transitivity,[status(thm)],[10128, 10127])).
% 5.45/5.65 tff(10130,plain,
% 5.45/5.65 ((~(mult(mult(a, mult(b, b)), a) = mult(a, mult(a, mult(b, b))))) <=> (~(mult(mult(a, a), mult(b, b)) = mult(a, mult(mult(b, b), a))))),
% 5.45/5.65 inference(monotonicity,[status(thm)],[10129])).
% 5.45/5.65 tff(10131,plain,
% 5.45/5.65 (~(mult(mult(a, a), mult(b, b)) = mult(a, mult(mult(b, b), a)))),
% 5.45/5.65 inference(modus_ponens,[status(thm)],[10122, 10130])).
% 5.45/5.65 tff(10132,assumption,(mult(mult(a, mult(b, b)), a) = mult(a, mult(mult(b, b), a))), introduced(assumption)).
% 5.45/5.65 tff(10133,plain,
% 5.45/5.65 (mult(mult(c, a), mult(mult(mult(a, a), b), b)) = mult(mult(c, a), mult(mult(a, mult(b, b)), a))),
% 5.45/5.65 inference(transitivity,[status(thm)],[9697, 9635, 10088])).
% 5.45/5.65 tff(10134,plain,
% 5.45/5.65 (ld(mult(c, a), mult(mult(c, a), mult(mult(mult(a, a), b), b))) = ld(mult(c, a), mult(mult(c, a), mult(mult(a, mult(b, b)), a)))),
% 5.45/5.65 inference(monotonicity,[status(thm)],[10133])).
% 5.45/5.65 tff(10135,plain,
% 5.45/5.65 (mult(mult(a, a), mult(b, b)) = mult(a, mult(mult(b, b), a))),
% 5.45/5.65 inference(transitivity,[status(thm)],[9644, 9736, 10134, 9721, 10132])).
% 5.45/5.65 tff(10136,assumption,(~(mult(mult(a, a), mult(b, b)) = mult(a, mult(mult(b, b), a)))), introduced(assumption)).
% 5.45/5.65 tff(10137,plain,
% 5.45/5.65 ($false),
% 5.45/5.65 inference(unit_resolution,[status(thm)],[10136, 10135])).
% 5.45/5.65 tff(10138,plain,((~(mult(mult(c, a), mult(mult(mult(a, a), b), b)) = mult(c, mult(mult(mult(mult(a, a), b), b), a)))) | (mult(mult(a, a), mult(b, b)) = mult(a, mult(mult(b, b), a))) | (~(mult(mult(a, mult(b, b)), a) = mult(a, mult(mult(b, b), a)))) | (~(mult(mult(c, a), mult(mult(a, mult(b, b)), a)) = mult(c, mult(a, mult(mult(a, mult(b, b)), a)))))), inference(lemma,lemma(discharge,[]))).
% 5.45/5.65 tff(10139,plain,
% 5.45/5.65 (~(mult(mult(c, a), mult(mult(mult(a, a), b), b)) = mult(c, mult(mult(mult(mult(a, a), b), b), a)))),
% 5.45/5.65 inference(unit_resolution,[status(thm)],[10138, 10131, 10126, 10087])).
% 5.45/5.65 tff(10140,assumption,(~(mult(mult(mult(c, a), a), b) = mult(mult(c, a), mult(a, b)))), introduced(assumption)).
% 5.45/5.65 tff(10141,assumption,(~(mult(mult(c, a), mult(mult(mult(a, a), b), b)) = mult(c, mult(mult(mult(mult(a, a), b), b), a)))), introduced(assumption)).
% 5.45/5.65 tff(10142,plain,
% 5.45/5.65 ((~(mult(mult(c, a), mult(mult(mult(a, a), b), b)) = mult(c, mult(mult(mult(mult(a, a), b), b), a)))) | (~(mult(mult(c, mult(mult(mult(a, a), b), b)), a) = mult(c, mult(a, mult(mult(mult(a, a), b), b)))))),
% 5.45/5.65 inference(unit_resolution,[status(thm)],[9670, 10141])).
% 5.45/5.65 tff(10143,plain,
% 5.45/5.65 (~((~(mult(mult(c, a), mult(mult(mult(a, a), b), b)) = mult(c, mult(a, mult(mult(mult(a, a), b), b))))) | (~(mult(mult(c, mult(mult(mult(a, a), b), b)), a) = mult(c, mult(mult(mult(mult(a, a), b), b), a)))))),
% 5.45/5.65 inference(unit_resolution,[status(thm)],[9661, 10142])).
% 5.45/5.65 tff(10144,plain,
% 5.45/5.65 (mult(mult(c, mult(mult(mult(a, a), b), b)), a) = mult(c, mult(mult(mult(mult(a, a), b), b), a))),
% 5.45/5.65 inference(unit_resolution,[status(thm)],[9649, 10143])).
% 5.45/5.65 tff(10145,plain,
% 5.45/5.65 (mult(c, mult(mult(a, b), a)) = mult(mult(c, a), mult(a, b))),
% 5.45/5.65 inference(symmetry,[status(thm)],[9263])).
% 5.45/5.65 tff(10146,plain,
% 5.45/5.65 ((~![B: $i, A: $i] : (rd(mult(A, B), B) = A)) | (rd(mult(mult(c, mult(mult(a, b), a)), b), b) = mult(c, mult(mult(a, b), a)))),
% 5.45/5.65 inference(quant_inst,[status(thm)],[])).
% 5.45/5.65 tff(10147,plain,
% 5.45/5.65 (rd(mult(mult(c, mult(mult(a, b), a)), b), b) = mult(c, mult(mult(a, b), a))),
% 5.45/5.65 inference(unit_resolution,[status(thm)],[10146, 72])).
% 5.45/5.65 tff(10148,plain,
% 5.45/5.65 ((~(mult(mult(a, mult(a, b)), b) = mult(a, mult(mult(a, b), b)))) <=> (~(mult(mult(a, a), mult(b, b)) = mult(a, mult(a, mult(b, b)))))),
% 5.45/5.65 inference(monotonicity,[status(thm)],[10021])).
% 5.45/5.65 tff(10149,plain,
% 5.45/5.65 (mult(mult(c, mult(mult(a, b), a)), b) = mult(mult(mult(c, a), mult(a, b)), b)),
% 5.45/5.65 inference(monotonicity,[status(thm)],[10145])).
% 5.45/5.65 tff(10150,plain,
% 5.45/5.65 (mult(mult(mult(c, a), mult(a, b)), b) = mult(mult(c, mult(mult(a, b), a)), b)),
% 5.45/5.65 inference(symmetry,[status(thm)],[10149])).
% 5.45/5.65 tff(10151,plain,
% 5.45/5.65 ((mult(c, mult(mult(a, mult(b, b)), a)) = mult(mult(c, a), mult(a, mult(b, b)))) <=> (mult(mult(c, a), mult(a, mult(b, b))) = mult(c, mult(mult(a, mult(b, b)), a)))),
% 5.45/5.65 inference(commutativity,[status(thm)],[])).
% 5.45/5.65 tff(10152,plain,
% 5.45/5.65 (mult(mult(c, a), mult(mult(a, b), b)) = mult(mult(c, a), mult(a, mult(b, b)))),
% 5.45/5.65 inference(monotonicity,[status(thm)],[8548])).
% 5.45/5.65 tff(10153,plain,
% 5.45/5.65 (rd(mult(mult(mult(mult(c, a), b), mult(a, b)), a), a) = rd(mult(mult(mult(mult(mult(c, a), b), b), a), a), a)),
% 5.45/5.65 inference(symmetry,[status(thm)],[9718])).
% 5.45/5.65 tff(10154,plain,
% 5.45/5.65 (mult(mult(mult(c, a), b), mult(a, b)) = rd(mult(mult(mult(mult(c, a), b), mult(a, b)), a), a)),
% 5.45/5.65 inference(symmetry,[status(thm)],[9701])).
% 5.45/5.65 tff(10155,plain,
% 5.45/5.65 (mult(mult(mult(c, a), b), mult(a, b)) = mult(c, mult(mult(a, mult(b, b)), a))),
% 5.45/5.65 inference(transitivity,[status(thm)],[10154, 10153, 9613, 9611, 9565])).
% 5.45/5.65 tff(10156,plain,
% 5.45/5.65 ((mult(mult(mult(c, a), b), mult(a, b)) = mult(mult(c, a), mult(mult(a, b), b))) <=> (mult(c, mult(mult(a, mult(b, b)), a)) = mult(mult(c, a), mult(a, mult(b, b))))),
% 5.45/5.66 inference(monotonicity,[status(thm)],[10155, 10152])).
% 5.45/5.66 tff(10157,plain,
% 5.45/5.66 ((mult(mult(mult(c, a), b), mult(a, b)) = mult(mult(c, a), mult(mult(a, b), b))) <=> (mult(mult(c, a), mult(a, mult(b, b))) = mult(c, mult(mult(a, mult(b, b)), a)))),
% 5.45/5.66 inference(transitivity,[status(thm)],[10156, 10151])).
% 5.45/5.66 tff(10158,plain,
% 5.45/5.66 ((mult(mult(c, a), mult(a, mult(b, b))) = mult(c, mult(mult(a, mult(b, b)), a))) <=> (mult(mult(mult(c, a), b), mult(a, b)) = mult(mult(c, a), mult(mult(a, b), b)))),
% 5.45/5.66 inference(symmetry,[status(thm)],[10157])).
% 5.45/5.66 tff(10159,plain,
% 5.45/5.66 ((~(mult(mult(c, a), mult(a, mult(b, b))) = mult(c, mult(mult(a, mult(b, b)), a)))) <=> (~(mult(mult(mult(c, a), b), mult(a, b)) = mult(mult(c, a), mult(mult(a, b), b))))),
% 5.45/5.66 inference(monotonicity,[status(thm)],[10158])).
% 5.45/5.66 tff(10160,plain,
% 5.45/5.66 (~(mult(mult(c, a), mult(a, mult(b, b))) = mult(c, mult(mult(a, mult(b, b)), a)))),
% 5.45/5.66 inference(unit_resolution,[status(thm)],[10071, 10033, 9636, 10032, 9703, 4313])).
% 5.45/5.66 tff(10161,plain,
% 5.45/5.66 (~(mult(mult(mult(c, a), b), mult(a, b)) = mult(mult(c, a), mult(mult(a, b), b)))),
% 5.45/5.66 inference(modus_ponens,[status(thm)],[10160, 10159])).
% 5.45/5.66 tff(10162,plain,
% 5.45/5.66 (((~(mult(mult(mult(c, a), mult(a, b)), b) = mult(mult(c, a), mult(b, mult(a, b))))) | (~(mult(mult(mult(c, a), b), mult(a, b)) = mult(mult(c, a), mult(mult(a, b), b))))) | (mult(mult(mult(c, a), b), mult(a, b)) = mult(mult(c, a), mult(mult(a, b), b)))),
% 5.45/5.66 inference(tautology,[status(thm)],[])).
% 5.45/5.66 tff(10163,plain,
% 5.45/5.66 ((~(mult(mult(mult(c, a), mult(a, b)), b) = mult(mult(c, a), mult(b, mult(a, b))))) | (~(mult(mult(mult(c, a), b), mult(a, b)) = mult(mult(c, a), mult(mult(a, b), b))))),
% 5.45/5.66 inference(unit_resolution,[status(thm)],[10162, 10161])).
% 5.45/5.66 tff(10164,plain,
% 5.45/5.66 (((~![X0: $i, X1: $i, X2: $i] : ((~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X2, X1)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X1, X2)))))) | (~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X1, X2)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X2, X1)))))))) | ((~((~(mult(mult(mult(c, a), mult(a, b)), b) = mult(mult(c, a), mult(b, mult(a, b))))) | (~(mult(mult(mult(c, a), b), mult(a, b)) = mult(mult(c, a), mult(mult(a, b), b)))))) | (~((~(mult(mult(mult(c, a), b), mult(a, b)) = mult(mult(c, a), mult(b, mult(a, b))))) | (~(mult(mult(mult(c, a), mult(a, b)), b) = mult(mult(c, a), mult(mult(a, b), b)))))))) <=> ((~![X0: $i, X1: $i, X2: $i] : ((~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X2, X1)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X1, X2)))))) | (~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X1, X2)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X2, X1)))))))) | (~((~(mult(mult(mult(c, a), mult(a, b)), b) = mult(mult(c, a), mult(b, mult(a, b))))) | (~(mult(mult(mult(c, a), b), mult(a, b)) = mult(mult(c, a), mult(mult(a, b), b)))))) | (~((~(mult(mult(mult(c, a), b), mult(a, b)) = mult(mult(c, a), mult(b, mult(a, b))))) | (~(mult(mult(mult(c, a), mult(a, b)), b) = mult(mult(c, a), mult(mult(a, b), b)))))))),
% 5.45/5.66 inference(rewrite,[status(thm)],[])).
% 5.45/5.66 tff(10165,plain,
% 5.45/5.66 (((~((~(mult(mult(mult(c, a), mult(a, b)), b) = mult(mult(c, a), mult(b, mult(a, b))))) | (~(mult(mult(mult(c, a), b), mult(a, b)) = mult(mult(c, a), mult(mult(a, b), b)))))) | (~((~(mult(mult(mult(c, a), b), mult(a, b)) = mult(mult(c, a), mult(b, mult(a, b))))) | (~(mult(mult(mult(c, a), mult(a, b)), b) = mult(mult(c, a), mult(mult(a, b), b))))))) <=> ((~((~(mult(mult(mult(c, a), mult(a, b)), b) = mult(mult(c, a), mult(b, mult(a, b))))) | (~(mult(mult(mult(c, a), b), mult(a, b)) = mult(mult(c, a), mult(mult(a, b), b)))))) | (~((~(mult(mult(mult(c, a), b), mult(a, b)) = mult(mult(c, a), mult(b, mult(a, b))))) | (~(mult(mult(mult(c, a), mult(a, b)), b) = mult(mult(c, a), mult(mult(a, b), b)))))))),
% 5.45/5.66 inference(rewrite,[status(thm)],[])).
% 5.45/5.66 tff(10166,plain,
% 5.45/5.66 ((~((~(mult(mult(mult(c, a), mult(a, b)), b) = mult(mult(c, a), mult(mult(a, b), b)))) | (~(mult(mult(mult(c, a), b), mult(a, b)) = mult(mult(c, a), mult(b, mult(a, b))))))) <=> (~((~(mult(mult(mult(c, a), b), mult(a, b)) = mult(mult(c, a), mult(b, mult(a, b))))) | (~(mult(mult(mult(c, a), mult(a, b)), b) = mult(mult(c, a), mult(mult(a, b), b))))))),
% 5.45/5.66 inference(rewrite,[status(thm)],[])).
% 5.45/5.66 tff(10167,plain,
% 5.45/5.66 ((~((~(mult(mult(mult(c, a), mult(a, b)), b) = mult(mult(c, a), mult(b, mult(a, b))))) | (~(mult(mult(mult(c, a), b), mult(a, b)) = mult(mult(c, a), mult(mult(a, b), b)))))) <=> (~((~(mult(mult(mult(c, a), mult(a, b)), b) = mult(mult(c, a), mult(b, mult(a, b))))) | (~(mult(mult(mult(c, a), b), mult(a, b)) = mult(mult(c, a), mult(mult(a, b), b))))))),
% 5.45/5.66 inference(rewrite,[status(thm)],[])).
% 5.45/5.66 tff(10168,plain,
% 5.45/5.66 (((~((~(mult(mult(mult(c, a), mult(a, b)), b) = mult(mult(c, a), mult(b, mult(a, b))))) | (~(mult(mult(mult(c, a), b), mult(a, b)) = mult(mult(c, a), mult(mult(a, b), b)))))) | (~((~(mult(mult(mult(c, a), mult(a, b)), b) = mult(mult(c, a), mult(mult(a, b), b)))) | (~(mult(mult(mult(c, a), b), mult(a, b)) = mult(mult(c, a), mult(b, mult(a, b)))))))) <=> ((~((~(mult(mult(mult(c, a), mult(a, b)), b) = mult(mult(c, a), mult(b, mult(a, b))))) | (~(mult(mult(mult(c, a), b), mult(a, b)) = mult(mult(c, a), mult(mult(a, b), b)))))) | (~((~(mult(mult(mult(c, a), b), mult(a, b)) = mult(mult(c, a), mult(b, mult(a, b))))) | (~(mult(mult(mult(c, a), mult(a, b)), b) = mult(mult(c, a), mult(mult(a, b), b)))))))),
% 5.45/5.66 inference(monotonicity,[status(thm)],[10167, 10166])).
% 5.45/5.66 tff(10169,plain,
% 5.45/5.66 (((~((~(mult(mult(mult(c, a), mult(a, b)), b) = mult(mult(c, a), mult(b, mult(a, b))))) | (~(mult(mult(mult(c, a), b), mult(a, b)) = mult(mult(c, a), mult(mult(a, b), b)))))) | (~((~(mult(mult(mult(c, a), mult(a, b)), b) = mult(mult(c, a), mult(mult(a, b), b)))) | (~(mult(mult(mult(c, a), b), mult(a, b)) = mult(mult(c, a), mult(b, mult(a, b)))))))) <=> ((~((~(mult(mult(mult(c, a), mult(a, b)), b) = mult(mult(c, a), mult(b, mult(a, b))))) | (~(mult(mult(mult(c, a), b), mult(a, b)) = mult(mult(c, a), mult(mult(a, b), b)))))) | (~((~(mult(mult(mult(c, a), b), mult(a, b)) = mult(mult(c, a), mult(b, mult(a, b))))) | (~(mult(mult(mult(c, a), mult(a, b)), b) = mult(mult(c, a), mult(mult(a, b), b)))))))),
% 5.45/5.66 inference(transitivity,[status(thm)],[10168, 10165])).
% 5.45/5.66 tff(10170,plain,
% 5.45/5.66 (((~![X0: $i, X1: $i, X2: $i] : ((~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X2, X1)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X1, X2)))))) | (~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X1, X2)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X2, X1)))))))) | ((~((~(mult(mult(mult(c, a), mult(a, b)), b) = mult(mult(c, a), mult(b, mult(a, b))))) | (~(mult(mult(mult(c, a), b), mult(a, b)) = mult(mult(c, a), mult(mult(a, b), b)))))) | (~((~(mult(mult(mult(c, a), mult(a, b)), b) = mult(mult(c, a), mult(mult(a, b), b)))) | (~(mult(mult(mult(c, a), b), mult(a, b)) = mult(mult(c, a), mult(b, mult(a, b))))))))) <=> ((~![X0: $i, X1: $i, X2: $i] : ((~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X2, X1)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X1, X2)))))) | (~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X1, X2)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X2, X1)))))))) | ((~((~(mult(mult(mult(c, a), mult(a, b)), b) = mult(mult(c, a), mult(b, mult(a, b))))) | (~(mult(mult(mult(c, a), b), mult(a, b)) = mult(mult(c, a), mult(mult(a, b), b)))))) | (~((~(mult(mult(mult(c, a), b), mult(a, b)) = mult(mult(c, a), mult(b, mult(a, b))))) | (~(mult(mult(mult(c, a), mult(a, b)), b) = mult(mult(c, a), mult(mult(a, b), b))))))))),
% 5.45/5.66 inference(monotonicity,[status(thm)],[10169])).
% 5.45/5.66 tff(10171,plain,
% 5.45/5.66 (((~![X0: $i, X1: $i, X2: $i] : ((~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X2, X1)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X1, X2)))))) | (~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X1, X2)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X2, X1)))))))) | ((~((~(mult(mult(mult(c, a), mult(a, b)), b) = mult(mult(c, a), mult(b, mult(a, b))))) | (~(mult(mult(mult(c, a), b), mult(a, b)) = mult(mult(c, a), mult(mult(a, b), b)))))) | (~((~(mult(mult(mult(c, a), mult(a, b)), b) = mult(mult(c, a), mult(mult(a, b), b)))) | (~(mult(mult(mult(c, a), b), mult(a, b)) = mult(mult(c, a), mult(b, mult(a, b))))))))) <=> ((~![X0: $i, X1: $i, X2: $i] : ((~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X2, X1)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X1, X2)))))) | (~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X1, X2)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X2, X1)))))))) | (~((~(mult(mult(mult(c, a), mult(a, b)), b) = mult(mult(c, a), mult(b, mult(a, b))))) | (~(mult(mult(mult(c, a), b), mult(a, b)) = mult(mult(c, a), mult(mult(a, b), b)))))) | (~((~(mult(mult(mult(c, a), b), mult(a, b)) = mult(mult(c, a), mult(b, mult(a, b))))) | (~(mult(mult(mult(c, a), mult(a, b)), b) = mult(mult(c, a), mult(mult(a, b), b)))))))),
% 5.45/5.66 inference(transitivity,[status(thm)],[10170, 10164])).
% 5.45/5.66 tff(10172,plain,
% 5.45/5.66 ((~![X0: $i, X1: $i, X2: $i] : ((~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X2, X1)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X1, X2)))))) | (~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X1, X2)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X2, X1)))))))) | ((~((~(mult(mult(mult(c, a), mult(a, b)), b) = mult(mult(c, a), mult(b, mult(a, b))))) | (~(mult(mult(mult(c, a), b), mult(a, b)) = mult(mult(c, a), mult(mult(a, b), b)))))) | (~((~(mult(mult(mult(c, a), mult(a, b)), b) = mult(mult(c, a), mult(mult(a, b), b)))) | (~(mult(mult(mult(c, a), b), mult(a, b)) = mult(mult(c, a), mult(b, mult(a, b))))))))),
% 5.45/5.66 inference(quant_inst,[status(thm)],[])).
% 5.45/5.66 tff(10173,plain,
% 5.45/5.66 ((~![X0: $i, X1: $i, X2: $i] : ((~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X2, X1)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X1, X2)))))) | (~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X1, X2)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X2, X1)))))))) | (~((~(mult(mult(mult(c, a), mult(a, b)), b) = mult(mult(c, a), mult(b, mult(a, b))))) | (~(mult(mult(mult(c, a), b), mult(a, b)) = mult(mult(c, a), mult(mult(a, b), b)))))) | (~((~(mult(mult(mult(c, a), b), mult(a, b)) = mult(mult(c, a), mult(b, mult(a, b))))) | (~(mult(mult(mult(c, a), mult(a, b)), b) = mult(mult(c, a), mult(mult(a, b), b))))))),
% 5.45/5.66 inference(modus_ponens,[status(thm)],[10172, 10171])).
% 5.45/5.66 tff(10174,plain,
% 5.45/5.66 ((~((~(mult(mult(mult(c, a), mult(a, b)), b) = mult(mult(c, a), mult(b, mult(a, b))))) | (~(mult(mult(mult(c, a), b), mult(a, b)) = mult(mult(c, a), mult(mult(a, b), b)))))) | (~((~(mult(mult(mult(c, a), b), mult(a, b)) = mult(mult(c, a), mult(b, mult(a, b))))) | (~(mult(mult(mult(c, a), mult(a, b)), b) = mult(mult(c, a), mult(mult(a, b), b))))))),
% 5.45/5.66 inference(unit_resolution,[status(thm)],[10173, 30])).
% 5.45/5.66 tff(10175,plain,
% 5.45/5.66 (~((~(mult(mult(mult(c, a), b), mult(a, b)) = mult(mult(c, a), mult(b, mult(a, b))))) | (~(mult(mult(mult(c, a), mult(a, b)), b) = mult(mult(c, a), mult(mult(a, b), b)))))),
% 5.45/5.66 inference(unit_resolution,[status(thm)],[10174, 10163])).
% 5.45/5.66 tff(10176,plain,
% 5.45/5.66 (((~(mult(mult(mult(c, a), b), mult(a, b)) = mult(mult(c, a), mult(b, mult(a, b))))) | (~(mult(mult(mult(c, a), mult(a, b)), b) = mult(mult(c, a), mult(mult(a, b), b))))) | (mult(mult(mult(c, a), mult(a, b)), b) = mult(mult(c, a), mult(mult(a, b), b)))),
% 5.45/5.66 inference(tautology,[status(thm)],[])).
% 5.45/5.66 tff(10177,plain,
% 5.45/5.66 (mult(mult(mult(c, a), mult(a, b)), b) = mult(mult(c, a), mult(mult(a, b), b))),
% 5.45/5.66 inference(unit_resolution,[status(thm)],[10176, 10175])).
% 5.45/5.66 tff(10178,plain,
% 5.45/5.66 (mult(mult(c, a), mult(mult(a, b), b)) = mult(mult(mult(c, a), mult(a, b)), b)),
% 5.45/5.66 inference(symmetry,[status(thm)],[10177])).
% 5.45/5.66 tff(10179,plain,
% 5.45/5.66 (mult(mult(c, a), mult(a, mult(b, b))) = mult(mult(c, a), mult(mult(a, b), b))),
% 5.45/5.66 inference(symmetry,[status(thm)],[10152])).
% 5.45/5.66 tff(10180,plain,
% 5.45/5.66 (((~![X0: $i, X1: $i, X2: $i] : ((~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X2, X1)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X1, X2)))))) | (~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X1, X2)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X2, X1)))))))) | (mult(mult(c, a), a) = mult(c, mult(a, a)))) <=> ((~![X0: $i, X1: $i, X2: $i] : ((~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X2, X1)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X1, X2)))))) | (~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X1, X2)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X2, X1)))))))) | (mult(mult(c, a), a) = mult(c, mult(a, a))))),
% 5.45/5.66 inference(rewrite,[status(thm)],[])).
% 5.45/5.66 tff(10181,plain,
% 5.45/5.66 (((mult(mult(c, a), a) = mult(c, mult(a, a))) | (mult(mult(c, a), a) = mult(c, mult(a, a)))) <=> (mult(mult(c, a), a) = mult(c, mult(a, a)))),
% 5.45/5.66 inference(rewrite,[status(thm)],[])).
% 5.45/5.66 tff(10182,plain,
% 5.45/5.66 ((~(~(mult(mult(c, a), a) = mult(c, mult(a, a))))) <=> (mult(mult(c, a), a) = mult(c, mult(a, a)))),
% 5.45/5.66 inference(rewrite,[status(thm)],[])).
% 5.45/5.66 tff(10183,plain,
% 5.45/5.66 (((~(mult(mult(c, a), a) = mult(c, mult(a, a)))) | (~(mult(mult(c, a), a) = mult(c, mult(a, a))))) <=> (~(mult(mult(c, a), a) = mult(c, mult(a, a))))),
% 5.45/5.66 inference(rewrite,[status(thm)],[])).
% 5.45/5.66 tff(10184,plain,
% 5.45/5.66 ((~((~(mult(mult(c, a), a) = mult(c, mult(a, a)))) | (~(mult(mult(c, a), a) = mult(c, mult(a, a)))))) <=> (~(~(mult(mult(c, a), a) = mult(c, mult(a, a)))))),
% 5.45/5.66 inference(monotonicity,[status(thm)],[10183])).
% 5.45/5.66 tff(10185,plain,
% 5.45/5.66 ((~((~(mult(mult(c, a), a) = mult(c, mult(a, a)))) | (~(mult(mult(c, a), a) = mult(c, mult(a, a)))))) <=> (mult(mult(c, a), a) = mult(c, mult(a, a)))),
% 5.45/5.66 inference(transitivity,[status(thm)],[10184, 10182])).
% 5.45/5.66 tff(10186,plain,
% 5.45/5.66 (((~((~(mult(mult(c, a), a) = mult(c, mult(a, a)))) | (~(mult(mult(c, a), a) = mult(c, mult(a, a)))))) | (~((~(mult(mult(c, a), a) = mult(c, mult(a, a)))) | (~(mult(mult(c, a), a) = mult(c, mult(a, a))))))) <=> ((mult(mult(c, a), a) = mult(c, mult(a, a))) | (mult(mult(c, a), a) = mult(c, mult(a, a))))),
% 5.45/5.66 inference(monotonicity,[status(thm)],[10185, 10185])).
% 5.45/5.66 tff(10187,plain,
% 5.45/5.66 (((~((~(mult(mult(c, a), a) = mult(c, mult(a, a)))) | (~(mult(mult(c, a), a) = mult(c, mult(a, a)))))) | (~((~(mult(mult(c, a), a) = mult(c, mult(a, a)))) | (~(mult(mult(c, a), a) = mult(c, mult(a, a))))))) <=> (mult(mult(c, a), a) = mult(c, mult(a, a)))),
% 5.45/5.66 inference(transitivity,[status(thm)],[10186, 10181])).
% 5.45/5.66 tff(10188,plain,
% 5.45/5.66 (((~![X0: $i, X1: $i, X2: $i] : ((~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X2, X1)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X1, X2)))))) | (~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X1, X2)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X2, X1)))))))) | ((~((~(mult(mult(c, a), a) = mult(c, mult(a, a)))) | (~(mult(mult(c, a), a) = mult(c, mult(a, a)))))) | (~((~(mult(mult(c, a), a) = mult(c, mult(a, a)))) | (~(mult(mult(c, a), a) = mult(c, mult(a, a)))))))) <=> ((~![X0: $i, X1: $i, X2: $i] : ((~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X2, X1)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X1, X2)))))) | (~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X1, X2)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X2, X1)))))))) | (mult(mult(c, a), a) = mult(c, mult(a, a))))),
% 5.45/5.66 inference(monotonicity,[status(thm)],[10187])).
% 5.45/5.66 tff(10189,plain,
% 5.45/5.66 (((~![X0: $i, X1: $i, X2: $i] : ((~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X2, X1)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X1, X2)))))) | (~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X1, X2)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X2, X1)))))))) | ((~((~(mult(mult(c, a), a) = mult(c, mult(a, a)))) | (~(mult(mult(c, a), a) = mult(c, mult(a, a)))))) | (~((~(mult(mult(c, a), a) = mult(c, mult(a, a)))) | (~(mult(mult(c, a), a) = mult(c, mult(a, a)))))))) <=> ((~![X0: $i, X1: $i, X2: $i] : ((~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X2, X1)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X1, X2)))))) | (~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X1, X2)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X2, X1)))))))) | (mult(mult(c, a), a) = mult(c, mult(a, a))))),
% 5.45/5.66 inference(transitivity,[status(thm)],[10188, 10180])).
% 5.45/5.66 tff(10190,plain,
% 5.45/5.66 ((~![X0: $i, X1: $i, X2: $i] : ((~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X2, X1)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X1, X2)))))) | (~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X1, X2)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X2, X1)))))))) | ((~((~(mult(mult(c, a), a) = mult(c, mult(a, a)))) | (~(mult(mult(c, a), a) = mult(c, mult(a, a)))))) | (~((~(mult(mult(c, a), a) = mult(c, mult(a, a)))) | (~(mult(mult(c, a), a) = mult(c, mult(a, a)))))))),
% 5.45/5.67 inference(quant_inst,[status(thm)],[])).
% 5.45/5.67 tff(10191,plain,
% 5.45/5.67 ((~![X0: $i, X1: $i, X2: $i] : ((~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X2, X1)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X1, X2)))))) | (~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X1, X2)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X2, X1)))))))) | (mult(mult(c, a), a) = mult(c, mult(a, a)))),
% 5.45/5.67 inference(modus_ponens,[status(thm)],[10190, 10189])).
% 5.45/5.67 tff(10192,plain,
% 5.45/5.67 (mult(mult(c, a), a) = mult(c, mult(a, a))),
% 5.45/5.67 inference(unit_resolution,[status(thm)],[10191, 30])).
% 5.45/5.67 tff(10193,plain,
% 5.45/5.67 (mult(mult(mult(c, a), a), mult(b, b)) = mult(mult(c, mult(a, a)), mult(b, b))),
% 5.45/5.67 inference(monotonicity,[status(thm)],[10192])).
% 5.45/5.67 tff(10194,plain,
% 5.45/5.67 (mult(mult(c, mult(a, a)), mult(b, b)) = mult(mult(mult(c, a), a), mult(b, b))),
% 5.45/5.67 inference(symmetry,[status(thm)],[10193])).
% 5.45/5.67 tff(10195,plain,
% 5.45/5.67 (mult(mult(mult(c, mult(a, a)), mult(b, b)), a) = mult(mult(mult(mult(c, a), a), mult(b, b)), a)),
% 5.45/5.67 inference(monotonicity,[status(thm)],[10194])).
% 5.45/5.67 tff(10196,plain,
% 5.45/5.67 (mult(mult(mult(c, mult(a, a)), mult(b, b)), a) = mult(mult(c, mult(mult(mult(a, a), b), b)), a)),
% 5.45/5.67 inference(transitivity,[status(thm)],[10195, 10085, 10041, 9726, 10055])).
% 5.45/5.67 tff(10197,plain,
% 5.45/5.67 (rd(mult(mult(mult(c, mult(a, a)), mult(b, b)), a), a) = rd(mult(mult(c, mult(mult(mult(a, a), b), b)), a), a)),
% 5.45/5.67 inference(monotonicity,[status(thm)],[10196])).
% 5.45/5.67 tff(10198,plain,
% 5.45/5.67 ((~![B: $i, A: $i] : (rd(mult(A, B), B) = A)) | (rd(mult(mult(mult(c, mult(a, a)), mult(b, b)), a), a) = mult(mult(c, mult(a, a)), mult(b, b)))),
% 5.45/5.67 inference(quant_inst,[status(thm)],[])).
% 5.45/5.67 tff(10199,plain,
% 5.45/5.67 (rd(mult(mult(mult(c, mult(a, a)), mult(b, b)), a), a) = mult(mult(c, mult(a, a)), mult(b, b))),
% 5.45/5.67 inference(unit_resolution,[status(thm)],[10198, 72])).
% 5.45/5.67 tff(10200,plain,
% 5.45/5.67 (mult(mult(c, mult(a, a)), mult(b, b)) = rd(mult(mult(mult(c, mult(a, a)), mult(b, b)), a), a)),
% 5.45/5.67 inference(symmetry,[status(thm)],[10199])).
% 5.45/5.67 tff(10201,plain,
% 5.45/5.67 (mult(mult(mult(mult(c, a), a), b), b) = mult(mult(c, mult(mult(a, b), a)), b)),
% 5.45/5.67 inference(transitivity,[status(thm)],[10112, 10193, 10200, 10197, 10063, 10054, 10179, 10178, 10150])).
% 5.45/5.67 tff(10202,plain,
% 5.45/5.67 (rd(mult(mult(mult(mult(c, a), a), b), b), b) = rd(mult(mult(c, mult(mult(a, b), a)), b), b)),
% 5.45/5.67 inference(monotonicity,[status(thm)],[10201])).
% 5.45/5.67 tff(10203,plain,
% 5.45/5.67 ((~![B: $i, A: $i] : (rd(mult(A, B), B) = A)) | (rd(mult(mult(mult(mult(c, a), a), b), b), b) = mult(mult(mult(c, a), a), b))),
% 5.45/5.67 inference(quant_inst,[status(thm)],[])).
% 5.45/5.67 tff(10204,plain,
% 5.45/5.67 (rd(mult(mult(mult(mult(c, a), a), b), b), b) = mult(mult(mult(c, a), a), b)),
% 5.45/5.67 inference(unit_resolution,[status(thm)],[10203, 72])).
% 5.45/5.67 tff(10205,plain,
% 5.45/5.67 (mult(mult(mult(c, a), a), b) = rd(mult(mult(mult(mult(c, a), a), b), b), b)),
% 5.45/5.67 inference(symmetry,[status(thm)],[10204])).
% 5.45/5.67 tff(10206,plain,
% 5.45/5.67 (mult(mult(mult(c, a), a), b) = mult(mult(c, a), mult(a, b))),
% 5.45/5.67 inference(transitivity,[status(thm)],[10205, 10202, 10147, 10145])).
% 5.45/5.67 tff(10207,plain,
% 5.45/5.67 ($false),
% 5.45/5.67 inference(unit_resolution,[status(thm)],[10140, 10206])).
% 5.45/5.67 tff(10208,plain,((~(mult(mult(a, mult(a, b)), b) = mult(a, mult(mult(a, b), b)))) | (mult(mult(mult(c, a), a), b) = mult(mult(c, a), mult(a, b))) | (~(mult(mult(c, a), mult(a, b)) = mult(c, mult(mult(a, b), a)))) | (~(mult(mult(c, mult(mult(mult(a, a), b), b)), a) = mult(c, mult(mult(mult(mult(a, a), b), b), a)))) | (~(mult(mult(mult(mult(c, a), b), b), mult(a, a)) = mult(mult(mult(c, a), b), mult(mult(a, a), b)))) | (~(mult(mult(mult(mult(c, a), b), mult(a, b)), a) = mult(mult(mult(c, a), b), mult(a, mult(a, b))))) | (mult(mult(c, mult(mult(a, mult(b, b)), a)), a) = mult(c, mult(a, mult(mult(a, mult(b, b)), a))))), inference(lemma,lemma(discharge,[]))).
% 5.45/5.67 tff(10209,plain,
% 5.45/5.67 (~(mult(mult(a, mult(a, b)), b) = mult(a, mult(mult(a, b), b)))),
% 5.45/5.67 inference(unit_resolution,[status(thm)],[10208, 10032, 9263, 9636, 9703, 4313, 10140])).
% 5.45/5.67 tff(10210,plain,
% 5.45/5.67 (~(mult(mult(a, a), mult(b, b)) = mult(a, mult(a, mult(b, b))))),
% 5.45/5.67 inference(modus_ponens,[status(thm)],[10209, 10148])).
% 5.50/5.67 tff(10211,plain,
% 5.50/5.67 ((~(mult(mult(a, a), mult(b, b)) = mult(a, mult(a, mult(b, b))))) | (~(mult(mult(a, mult(b, b)), a) = mult(a, mult(mult(b, b), a))))),
% 5.50/5.67 inference(unit_resolution,[status(thm)],[9472, 10210])).
% 5.50/5.67 tff(10212,plain,
% 5.50/5.67 (~((~(mult(mult(a, a), mult(b, b)) = mult(a, mult(mult(b, b), a)))) | (~(mult(mult(a, mult(b, b)), a) = mult(a, mult(a, mult(b, b))))))),
% 5.50/5.67 inference(unit_resolution,[status(thm)],[9484, 10211])).
% 5.50/5.67 tff(10213,plain,
% 5.50/5.67 (mult(mult(a, mult(b, b)), a) = mult(a, mult(a, mult(b, b)))),
% 5.50/5.67 inference(unit_resolution,[status(thm)],[9486, 10212])).
% 5.50/5.67 tff(10214,plain,
% 5.50/5.67 (mult(a, mult(a, mult(b, b))) = mult(mult(a, mult(b, b)), a)),
% 5.50/5.67 inference(symmetry,[status(thm)],[10213])).
% 5.50/5.67 tff(10215,plain,
% 5.50/5.67 (mult(mult(c, a), mult(a, mult(a, mult(b, b)))) = mult(mult(c, a), mult(mult(a, mult(b, b)), a))),
% 5.50/5.67 inference(monotonicity,[status(thm)],[10214])).
% 5.50/5.67 tff(10216,plain,
% 5.50/5.67 ((~(mult(mult(a, b), mult(a, b)) = mult(a, mult(b, mult(a, b))))) | (~(mult(mult(a, mult(a, b)), b) = mult(a, mult(mult(a, b), b))))),
% 5.50/5.67 inference(unit_resolution,[status(thm)],[9897, 10209])).
% 5.50/5.67 tff(10217,plain,
% 5.50/5.67 (~((~(mult(mult(a, b), mult(a, b)) = mult(a, mult(mult(a, b), b)))) | (~(mult(mult(a, mult(a, b)), b) = mult(a, mult(b, mult(a, b))))))),
% 5.50/5.67 inference(unit_resolution,[status(thm)],[9905, 10216])).
% 5.50/5.67 tff(10218,plain,
% 5.50/5.67 (mult(mult(a, b), mult(a, b)) = mult(a, mult(mult(a, b), b))),
% 5.50/5.67 inference(unit_resolution,[status(thm)],[9907, 10217])).
% 5.50/5.67 tff(10219,plain,
% 5.50/5.67 (mult(mult(a, b), mult(a, b)) = mult(a, mult(a, mult(b, b)))),
% 5.50/5.67 inference(transitivity,[status(thm)],[10218, 10020])).
% 5.50/5.67 tff(10220,plain,
% 5.50/5.67 (mult(mult(c, a), mult(mult(a, b), mult(a, b))) = mult(mult(c, a), mult(a, mult(a, mult(b, b))))),
% 5.50/5.67 inference(monotonicity,[status(thm)],[10219])).
% 5.50/5.67 tff(10221,plain,
% 5.50/5.67 (((~![X0: $i, X1: $i, X2: $i] : ((~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X2, X1)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X1, X2)))))) | (~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X1, X2)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X2, X1)))))))) | (mult(mult(mult(c, a), mult(a, b)), mult(a, b)) = mult(mult(c, a), mult(mult(a, b), mult(a, b))))) <=> ((~![X0: $i, X1: $i, X2: $i] : ((~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X2, X1)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X1, X2)))))) | (~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X1, X2)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X2, X1)))))))) | (mult(mult(mult(c, a), mult(a, b)), mult(a, b)) = mult(mult(c, a), mult(mult(a, b), mult(a, b)))))),
% 5.50/5.67 inference(rewrite,[status(thm)],[])).
% 5.50/5.67 tff(10222,plain,
% 5.50/5.67 (((mult(mult(mult(c, a), mult(a, b)), mult(a, b)) = mult(mult(c, a), mult(mult(a, b), mult(a, b)))) | (mult(mult(mult(c, a), mult(a, b)), mult(a, b)) = mult(mult(c, a), mult(mult(a, b), mult(a, b))))) <=> (mult(mult(mult(c, a), mult(a, b)), mult(a, b)) = mult(mult(c, a), mult(mult(a, b), mult(a, b))))),
% 5.50/5.67 inference(rewrite,[status(thm)],[])).
% 5.50/5.67 tff(10223,plain,
% 5.50/5.67 ((~(~(mult(mult(mult(c, a), mult(a, b)), mult(a, b)) = mult(mult(c, a), mult(mult(a, b), mult(a, b)))))) <=> (mult(mult(mult(c, a), mult(a, b)), mult(a, b)) = mult(mult(c, a), mult(mult(a, b), mult(a, b))))),
% 5.50/5.67 inference(rewrite,[status(thm)],[])).
% 5.50/5.67 tff(10224,plain,
% 5.50/5.67 (((~(mult(mult(mult(c, a), mult(a, b)), mult(a, b)) = mult(mult(c, a), mult(mult(a, b), mult(a, b))))) | (~(mult(mult(mult(c, a), mult(a, b)), mult(a, b)) = mult(mult(c, a), mult(mult(a, b), mult(a, b)))))) <=> (~(mult(mult(mult(c, a), mult(a, b)), mult(a, b)) = mult(mult(c, a), mult(mult(a, b), mult(a, b)))))),
% 5.50/5.67 inference(rewrite,[status(thm)],[])).
% 5.50/5.67 tff(10225,plain,
% 5.50/5.67 ((~((~(mult(mult(mult(c, a), mult(a, b)), mult(a, b)) = mult(mult(c, a), mult(mult(a, b), mult(a, b))))) | (~(mult(mult(mult(c, a), mult(a, b)), mult(a, b)) = mult(mult(c, a), mult(mult(a, b), mult(a, b))))))) <=> (~(~(mult(mult(mult(c, a), mult(a, b)), mult(a, b)) = mult(mult(c, a), mult(mult(a, b), mult(a, b))))))),
% 5.50/5.67 inference(monotonicity,[status(thm)],[10224])).
% 5.50/5.67 tff(10226,plain,
% 5.50/5.67 ((~((~(mult(mult(mult(c, a), mult(a, b)), mult(a, b)) = mult(mult(c, a), mult(mult(a, b), mult(a, b))))) | (~(mult(mult(mult(c, a), mult(a, b)), mult(a, b)) = mult(mult(c, a), mult(mult(a, b), mult(a, b))))))) <=> (mult(mult(mult(c, a), mult(a, b)), mult(a, b)) = mult(mult(c, a), mult(mult(a, b), mult(a, b))))),
% 5.50/5.67 inference(transitivity,[status(thm)],[10225, 10223])).
% 5.50/5.67 tff(10227,plain,
% 5.50/5.67 (((~((~(mult(mult(mult(c, a), mult(a, b)), mult(a, b)) = mult(mult(c, a), mult(mult(a, b), mult(a, b))))) | (~(mult(mult(mult(c, a), mult(a, b)), mult(a, b)) = mult(mult(c, a), mult(mult(a, b), mult(a, b))))))) | (~((~(mult(mult(mult(c, a), mult(a, b)), mult(a, b)) = mult(mult(c, a), mult(mult(a, b), mult(a, b))))) | (~(mult(mult(mult(c, a), mult(a, b)), mult(a, b)) = mult(mult(c, a), mult(mult(a, b), mult(a, b)))))))) <=> ((mult(mult(mult(c, a), mult(a, b)), mult(a, b)) = mult(mult(c, a), mult(mult(a, b), mult(a, b)))) | (mult(mult(mult(c, a), mult(a, b)), mult(a, b)) = mult(mult(c, a), mult(mult(a, b), mult(a, b)))))),
% 5.50/5.67 inference(monotonicity,[status(thm)],[10226, 10226])).
% 5.50/5.67 tff(10228,plain,
% 5.50/5.67 (((~((~(mult(mult(mult(c, a), mult(a, b)), mult(a, b)) = mult(mult(c, a), mult(mult(a, b), mult(a, b))))) | (~(mult(mult(mult(c, a), mult(a, b)), mult(a, b)) = mult(mult(c, a), mult(mult(a, b), mult(a, b))))))) | (~((~(mult(mult(mult(c, a), mult(a, b)), mult(a, b)) = mult(mult(c, a), mult(mult(a, b), mult(a, b))))) | (~(mult(mult(mult(c, a), mult(a, b)), mult(a, b)) = mult(mult(c, a), mult(mult(a, b), mult(a, b)))))))) <=> (mult(mult(mult(c, a), mult(a, b)), mult(a, b)) = mult(mult(c, a), mult(mult(a, b), mult(a, b))))),
% 5.50/5.67 inference(transitivity,[status(thm)],[10227, 10222])).
% 5.50/5.67 tff(10229,plain,
% 5.50/5.67 (((~![X0: $i, X1: $i, X2: $i] : ((~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X2, X1)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X1, X2)))))) | (~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X1, X2)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X2, X1)))))))) | ((~((~(mult(mult(mult(c, a), mult(a, b)), mult(a, b)) = mult(mult(c, a), mult(mult(a, b), mult(a, b))))) | (~(mult(mult(mult(c, a), mult(a, b)), mult(a, b)) = mult(mult(c, a), mult(mult(a, b), mult(a, b))))))) | (~((~(mult(mult(mult(c, a), mult(a, b)), mult(a, b)) = mult(mult(c, a), mult(mult(a, b), mult(a, b))))) | (~(mult(mult(mult(c, a), mult(a, b)), mult(a, b)) = mult(mult(c, a), mult(mult(a, b), mult(a, b))))))))) <=> ((~![X0: $i, X1: $i, X2: $i] : ((~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X2, X1)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X1, X2)))))) | (~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X1, X2)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X2, X1)))))))) | (mult(mult(mult(c, a), mult(a, b)), mult(a, b)) = mult(mult(c, a), mult(mult(a, b), mult(a, b)))))),
% 5.50/5.67 inference(monotonicity,[status(thm)],[10228])).
% 5.50/5.67 tff(10230,plain,
% 5.50/5.67 (((~![X0: $i, X1: $i, X2: $i] : ((~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X2, X1)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X1, X2)))))) | (~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X1, X2)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X2, X1)))))))) | ((~((~(mult(mult(mult(c, a), mult(a, b)), mult(a, b)) = mult(mult(c, a), mult(mult(a, b), mult(a, b))))) | (~(mult(mult(mult(c, a), mult(a, b)), mult(a, b)) = mult(mult(c, a), mult(mult(a, b), mult(a, b))))))) | (~((~(mult(mult(mult(c, a), mult(a, b)), mult(a, b)) = mult(mult(c, a), mult(mult(a, b), mult(a, b))))) | (~(mult(mult(mult(c, a), mult(a, b)), mult(a, b)) = mult(mult(c, a), mult(mult(a, b), mult(a, b))))))))) <=> ((~![X0: $i, X1: $i, X2: $i] : ((~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X2, X1)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X1, X2)))))) | (~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X1, X2)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X2, X1)))))))) | (mult(mult(mult(c, a), mult(a, b)), mult(a, b)) = mult(mult(c, a), mult(mult(a, b), mult(a, b)))))),
% 5.50/5.67 inference(transitivity,[status(thm)],[10229, 10221])).
% 5.50/5.67 tff(10231,plain,
% 5.50/5.67 ((~![X0: $i, X1: $i, X2: $i] : ((~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X2, X1)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X1, X2)))))) | (~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X1, X2)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X2, X1)))))))) | ((~((~(mult(mult(mult(c, a), mult(a, b)), mult(a, b)) = mult(mult(c, a), mult(mult(a, b), mult(a, b))))) | (~(mult(mult(mult(c, a), mult(a, b)), mult(a, b)) = mult(mult(c, a), mult(mult(a, b), mult(a, b))))))) | (~((~(mult(mult(mult(c, a), mult(a, b)), mult(a, b)) = mult(mult(c, a), mult(mult(a, b), mult(a, b))))) | (~(mult(mult(mult(c, a), mult(a, b)), mult(a, b)) = mult(mult(c, a), mult(mult(a, b), mult(a, b))))))))),
% 5.50/5.67 inference(quant_inst,[status(thm)],[])).
% 5.50/5.67 tff(10232,plain,
% 5.50/5.67 ((~![X0: $i, X1: $i, X2: $i] : ((~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X2, X1)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X1, X2)))))) | (~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X1, X2)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X2, X1)))))))) | (mult(mult(mult(c, a), mult(a, b)), mult(a, b)) = mult(mult(c, a), mult(mult(a, b), mult(a, b))))),
% 5.50/5.67 inference(modus_ponens,[status(thm)],[10231, 10230])).
% 5.50/5.67 tff(10233,plain,
% 5.50/5.67 (mult(mult(mult(c, a), mult(a, b)), mult(a, b)) = mult(mult(c, a), mult(mult(a, b), mult(a, b)))),
% 5.50/5.67 inference(unit_resolution,[status(thm)],[10232, 30])).
% 5.50/5.67 tff(10234,plain,
% 5.50/5.67 (mult(mult(mult(c, a), b), a) = mult(mult(c, a), mult(a, b))),
% 5.50/5.67 inference(transitivity,[status(thm)],[2807, 10145])).
% 5.50/5.67 tff(10235,plain,
% 5.50/5.67 (mult(mult(mult(mult(c, a), b), a), mult(a, b)) = mult(mult(mult(c, a), mult(a, b)), mult(a, b))),
% 5.50/5.67 inference(monotonicity,[status(thm)],[10234])).
% 5.50/5.67 tff(10236,plain,
% 5.50/5.67 (mult(mult(mult(c, mult(mult(a, b), a)), b), a) = mult(mult(c, mult(mult(mult(a, a), b), b)), a)),
% 5.50/5.67 inference(transitivity,[status(thm)],[4412, 4226, 10235, 10233, 10220, 10215, 10041, 9726, 10055])).
% 5.50/5.67 tff(10237,plain,
% 5.50/5.67 (rd(mult(mult(mult(c, mult(mult(a, b), a)), b), a), a) = rd(mult(mult(c, mult(mult(mult(a, a), b), b)), a), a)),
% 5.50/5.67 inference(monotonicity,[status(thm)],[10236])).
% 5.50/5.67 tff(10238,plain,
% 5.50/5.67 (rd(mult(mult(c, mult(mult(mult(a, a), b), b)), a), a) = rd(mult(mult(mult(c, mult(mult(a, b), a)), b), a), a)),
% 5.50/5.67 inference(symmetry,[status(thm)],[10237])).
% 5.50/5.67 tff(10239,plain,
% 5.50/5.67 (mult(mult(mult(mult(c, a), a), b), b) = mult(mult(c, mult(mult(a, b), a)), b)),
% 5.50/5.67 inference(transitivity,[status(thm)],[10112, 10193, 10200, 10197, 10238, 4208])).
% 5.50/5.67 tff(10240,plain,
% 5.50/5.67 (rd(mult(mult(mult(mult(c, a), a), b), b), b) = rd(mult(mult(c, mult(mult(a, b), a)), b), b)),
% 5.50/5.67 inference(monotonicity,[status(thm)],[10239])).
% 5.50/5.67 tff(10241,plain,
% 5.50/5.67 (mult(mult(mult(c, a), a), b) = mult(mult(c, a), mult(a, b))),
% 5.50/5.67 inference(transitivity,[status(thm)],[10205, 10240, 10147, 10145])).
% 5.50/5.67 tff(10242,plain,
% 5.50/5.67 ($false),
% 5.50/5.67 inference(unit_resolution,[status(thm)],[10140, 10241])).
% 5.50/5.67 tff(10243,plain,((mult(mult(c, mult(mult(a, mult(b, b)), a)), a) = mult(c, mult(a, mult(mult(a, mult(b, b)), a)))) | (mult(mult(mult(c, a), a), b) = mult(mult(c, a), mult(a, b))) | (~(mult(mult(c, a), mult(a, b)) = mult(c, mult(mult(a, b), a)))) | (~(mult(mult(c, mult(mult(mult(a, a), b), b)), a) = mult(c, mult(mult(mult(mult(a, a), b), b), a)))) | (~(mult(mult(mult(c, mult(mult(a, b), a)), b), a) = mult(mult(c, mult(mult(a, b), a)), mult(a, b)))) | (~(mult(mult(mult(mult(c, a), b), b), mult(a, a)) = mult(mult(mult(c, a), b), mult(mult(a, a), b)))) | (~(mult(mult(mult(mult(c, a), b), mult(a, b)), a) = mult(mult(mult(c, a), b), mult(a, mult(a, b)))))), inference(lemma,lemma(discharge,[]))).
% 5.50/5.67 tff(10244,plain,
% 5.50/5.67 (mult(mult(c, mult(mult(a, mult(b, b)), a)), a) = mult(c, mult(a, mult(mult(a, mult(b, b)), a)))),
% 5.50/5.67 inference(unit_resolution,[status(thm)],[10243, 10144, 9263, 10140, 4412, 9703, 4313])).
% 5.50/5.67 tff(10245,plain,
% 5.50/5.67 (mult(c, mult(mult(mult(mult(a, a), b), b), a)) = mult(mult(c, mult(mult(mult(a, a), b), b)), a)),
% 5.50/5.67 inference(symmetry,[status(thm)],[10144])).
% 5.50/5.67 tff(10246,plain,
% 5.50/5.67 (mult(mult(mult(c, a), b), mult(mult(a, a), b)) = mult(mult(mult(c, a), b), mult(a, mult(a, b)))),
% 5.50/5.67 inference(monotonicity,[status(thm)],[4190])).
% 5.50/5.67 tff(10247,plain,
% 5.50/5.67 (mult(mult(mult(mult(mult(c, a), b), b), a), a) = mult(mult(mult(mult(c, a), b), mult(a, b)), a)),
% 5.50/5.67 inference(transitivity,[status(thm)],[9716, 9703, 10246, 9702])).
% 5.50/5.68 tff(10248,plain,
% 5.50/5.68 (rd(mult(mult(mult(mult(mult(c, a), b), b), a), a), a) = rd(mult(mult(mult(mult(c, a), b), mult(a, b)), a), a)),
% 5.50/5.68 inference(monotonicity,[status(thm)],[10247])).
% 5.50/5.68 tff(10249,plain,
% 5.50/5.68 (rd(mult(mult(mult(mult(c, a), b), mult(a, b)), a), a) = rd(mult(mult(mult(mult(mult(c, a), b), b), a), a), a)),
% 5.50/5.68 inference(symmetry,[status(thm)],[10248])).
% 5.50/5.68 tff(10250,plain,
% 5.50/5.68 (mult(mult(mult(c, a), b), mult(a, b)) = mult(c, mult(mult(a, mult(b, b)), a))),
% 5.50/5.68 inference(transitivity,[status(thm)],[10154, 10249, 9613, 9611, 9565])).
% 5.50/5.68 tff(10251,plain,
% 5.50/5.68 (mult(mult(mult(mult(c, a), b), mult(a, b)), a) = mult(mult(c, mult(mult(a, mult(b, b)), a)), a)),
% 5.50/5.68 inference(monotonicity,[status(thm)],[10250])).
% 5.50/5.68 tff(10252,plain,
% 5.50/5.68 (mult(mult(mult(mult(c, a), b), mult(a, b)), a) = mult(mult(c, mult(mult(mult(a, a), b), b)), a)),
% 5.50/5.68 inference(transitivity,[status(thm)],[10251, 9616, 9726, 10245])).
% 5.50/5.68 tff(10253,plain,
% 5.50/5.68 (rd(mult(mult(mult(mult(c, a), b), mult(a, b)), a), a) = rd(mult(mult(c, mult(mult(mult(a, a), b), b)), a), a)),
% 5.50/5.68 inference(monotonicity,[status(thm)],[10252])).
% 5.50/5.68 tff(10254,plain,
% 5.50/5.68 (mult(c, mult(mult(a, mult(b, b)), a)) = mult(c, mult(mult(mult(a, a), b), b))),
% 5.50/5.68 inference(transitivity,[status(thm)],[9591, 9560, 9719, 10248, 10253, 9640])).
% 5.50/5.68 tff(10255,plain,
% 5.50/5.68 (ld(c, mult(c, mult(mult(a, mult(b, b)), a))) = ld(c, mult(c, mult(mult(mult(a, a), b), b)))),
% 5.50/5.68 inference(monotonicity,[status(thm)],[10254])).
% 5.50/5.68 tff(10256,plain,
% 5.50/5.68 (mult(mult(a, mult(b, b)), a) = ld(c, mult(c, mult(mult(a, mult(b, b)), a)))),
% 5.50/5.68 inference(symmetry,[status(thm)],[9610])).
% 5.50/5.68 tff(10257,plain,
% 5.50/5.68 (mult(mult(a, mult(b, b)), a) = mult(mult(mult(a, a), b), b)),
% 5.50/5.68 inference(transitivity,[status(thm)],[10256, 10255, 8664])).
% 5.50/5.68 tff(10258,plain,
% 5.50/5.68 (mult(mult(mult(a, mult(b, b)), a), a) = mult(mult(mult(mult(a, a), b), b), a)),
% 5.50/5.68 inference(monotonicity,[status(thm)],[10257])).
% 5.50/5.68 tff(10259,plain,
% 5.50/5.68 (mult(c, mult(mult(mult(a, mult(b, b)), a), a)) = mult(c, mult(mult(mult(mult(a, a), b), b), a))),
% 5.50/5.68 inference(monotonicity,[status(thm)],[10258])).
% 5.50/5.68 tff(10260,assumption,(mult(mult(c, a), mult(mult(a, mult(b, b)), a)) = mult(c, mult(mult(mult(a, mult(b, b)), a), a))), introduced(assumption)).
% 5.50/5.68 tff(10261,plain,
% 5.50/5.68 (ld(c, mult(c, mult(mult(mult(a, a), b), b))) = ld(c, mult(c, mult(mult(a, mult(b, b)), a)))),
% 5.50/5.68 inference(symmetry,[status(thm)],[10255])).
% 5.50/5.68 tff(10262,plain,
% 5.50/5.68 (mult(mult(mult(a, a), b), b) = mult(mult(a, mult(b, b)), a)),
% 5.50/5.68 inference(transitivity,[status(thm)],[8665, 10261, 9610])).
% 5.50/5.68 tff(10263,plain,
% 5.50/5.68 (mult(mult(c, a), mult(mult(mult(a, a), b), b)) = mult(mult(c, a), mult(mult(a, mult(b, b)), a))),
% 5.50/5.68 inference(monotonicity,[status(thm)],[10262])).
% 5.50/5.68 tff(10264,plain,
% 5.50/5.68 (mult(mult(c, a), mult(mult(mult(a, a), b), b)) = mult(c, mult(mult(mult(mult(a, a), b), b), a))),
% 5.50/5.68 inference(transitivity,[status(thm)],[10263, 10260, 10259])).
% 5.50/5.68 tff(10265,plain,
% 5.50/5.68 ($false),
% 5.50/5.68 inference(unit_resolution,[status(thm)],[10141, 10264])).
% 5.50/5.68 tff(10266,plain,((~(mult(mult(c, a), mult(mult(a, mult(b, b)), a)) = mult(c, mult(mult(mult(a, mult(b, b)), a), a)))) | (mult(mult(c, a), mult(mult(mult(a, a), b), b)) = mult(c, mult(mult(mult(mult(a, a), b), b), a))) | (~(mult(mult(c, mult(mult(a, mult(b, b)), a)), a) = mult(c, mult(a, mult(mult(a, mult(b, b)), a))))) | (~(mult(mult(mult(mult(c, a), b), b), mult(a, a)) = mult(mult(mult(c, a), b), mult(mult(a, a), b)))) | (~(mult(mult(mult(mult(c, a), b), mult(a, b)), a) = mult(mult(mult(c, a), b), mult(a, mult(a, b)))))), inference(lemma,lemma(discharge,[]))).
% 5.50/5.68 tff(10267,plain,
% 5.50/5.68 (~(mult(mult(c, a), mult(mult(a, mult(b, b)), a)) = mult(c, mult(mult(mult(a, mult(b, b)), a), a)))),
% 5.50/5.68 inference(unit_resolution,[status(thm)],[10266, 10141, 10244, 9703, 4313])).
% 5.50/5.68 tff(10268,plain,
% 5.50/5.68 (((~(mult(mult(c, a), mult(mult(a, mult(b, b)), a)) = mult(c, mult(mult(mult(a, mult(b, b)), a), a)))) | (~(mult(mult(c, mult(mult(a, mult(b, b)), a)), a) = mult(c, mult(a, mult(mult(a, mult(b, b)), a)))))) | (mult(mult(c, a), mult(mult(a, mult(b, b)), a)) = mult(c, mult(mult(mult(a, mult(b, b)), a), a)))),
% 5.50/5.68 inference(tautology,[status(thm)],[])).
% 5.50/5.68 tff(10269,plain,
% 5.50/5.68 ((~(mult(mult(c, a), mult(mult(a, mult(b, b)), a)) = mult(c, mult(mult(mult(a, mult(b, b)), a), a)))) | (~(mult(mult(c, mult(mult(a, mult(b, b)), a)), a) = mult(c, mult(a, mult(mult(a, mult(b, b)), a)))))),
% 5.50/5.68 inference(unit_resolution,[status(thm)],[10268, 10267])).
% 5.50/5.68 tff(10270,plain,
% 5.50/5.68 (~((~(mult(mult(c, a), mult(mult(a, mult(b, b)), a)) = mult(c, mult(a, mult(mult(a, mult(b, b)), a))))) | (~(mult(mult(c, mult(mult(a, mult(b, b)), a)), a) = mult(c, mult(mult(mult(a, mult(b, b)), a), a)))))),
% 5.50/5.68 inference(unit_resolution,[status(thm)],[10039, 10269])).
% 5.50/5.68 tff(10271,plain,
% 5.50/5.68 (mult(mult(c, mult(mult(a, mult(b, b)), a)), a) = mult(c, mult(mult(mult(a, mult(b, b)), a), a))),
% 5.50/5.68 inference(unit_resolution,[status(thm)],[9752, 10270])).
% 5.50/5.68 tff(10272,plain,
% 5.50/5.68 (mult(c, mult(mult(mult(a, mult(b, b)), a), a)) = mult(mult(c, mult(mult(a, mult(b, b)), a)), a)),
% 5.50/5.68 inference(symmetry,[status(thm)],[10271])).
% 5.50/5.68 tff(10273,plain,
% 5.50/5.68 (mult(c, mult(mult(mult(a, mult(b, b)), a), a)) = mult(c, mult(a, mult(mult(a, mult(b, b)), a)))),
% 5.50/5.68 inference(transitivity,[status(thm)],[10272, 10244])).
% 5.50/5.68 tff(10274,plain,
% 5.50/5.68 ((mult(mult(c, a), mult(mult(a, mult(b, b)), a)) = mult(c, mult(mult(mult(a, mult(b, b)), a), a))) <=> (mult(mult(c, a), mult(mult(a, mult(b, b)), a)) = mult(c, mult(a, mult(mult(a, mult(b, b)), a))))),
% 5.50/5.68 inference(monotonicity,[status(thm)],[10273])).
% 5.50/5.68 tff(10275,plain,
% 5.50/5.68 ((mult(mult(c, a), mult(mult(a, mult(b, b)), a)) = mult(c, mult(a, mult(mult(a, mult(b, b)), a)))) <=> (mult(mult(c, a), mult(mult(a, mult(b, b)), a)) = mult(c, mult(mult(mult(a, mult(b, b)), a), a)))),
% 5.50/5.68 inference(symmetry,[status(thm)],[10274])).
% 5.50/5.68 tff(10276,plain,
% 5.50/5.68 (mult(mult(c, a), mult(mult(a, mult(b, b)), a)) = mult(c, mult(a, mult(mult(a, mult(b, b)), a)))),
% 5.50/5.68 inference(unit_resolution,[status(thm)],[9727, 10270])).
% 5.50/5.68 tff(10277,plain,
% 5.50/5.68 (mult(mult(c, a), mult(mult(a, mult(b, b)), a)) = mult(c, mult(mult(mult(a, mult(b, b)), a), a))),
% 5.50/5.68 inference(modus_ponens,[status(thm)],[10276, 10275])).
% 5.50/5.68 tff(10278,plain,
% 5.50/5.68 ($false),
% 5.50/5.68 inference(unit_resolution,[status(thm)],[10267, 10277])).
% 5.50/5.68 tff(10279,plain,((mult(mult(c, a), mult(mult(mult(a, a), b), b)) = mult(c, mult(mult(mult(mult(a, a), b), b), a))) | (~(mult(mult(mult(mult(c, a), b), b), mult(a, a)) = mult(mult(mult(c, a), b), mult(mult(a, a), b)))) | (~(mult(mult(mult(mult(c, a), b), mult(a, b)), a) = mult(mult(mult(c, a), b), mult(a, mult(a, b))))) | (~(mult(mult(c, a), mult(a, b)) = mult(c, mult(mult(a, b), a)))) | (mult(mult(mult(c, a), a), b) = mult(mult(c, a), mult(a, b))) | (~(mult(mult(mult(c, mult(mult(a, b), a)), b), a) = mult(mult(c, mult(mult(a, b), a)), mult(a, b))))), inference(lemma,lemma(discharge,[]))).
% 5.50/5.68 tff(10280,plain,
% 5.50/5.68 (mult(mult(mult(c, a), a), b) = mult(mult(c, a), mult(a, b))),
% 5.50/5.68 inference(unit_resolution,[status(thm)],[10279, 10139, 4313, 9263, 10031, 10121])).
% 5.50/5.68 tff(10281,plain,
% 5.50/5.68 (mult(mult(mult(c, a), a), b) = mult(c, mult(mult(a, b), a))),
% 5.50/5.68 inference(transitivity,[status(thm)],[10280, 9263])).
% 5.50/5.68 tff(10282,plain,
% 5.50/5.68 (mult(mult(mult(mult(c, a), a), b), b) = mult(mult(c, mult(mult(a, b), a)), b)),
% 5.50/5.68 inference(monotonicity,[status(thm)],[10281])).
% 5.50/5.68 tff(10283,plain,
% 5.50/5.68 (mult(mult(c, mult(mult(a, b), a)), b) = mult(mult(mult(mult(c, a), a), b), b)),
% 5.50/5.68 inference(symmetry,[status(thm)],[10282])).
% 5.50/5.68 tff(10284,plain,
% 5.50/5.68 (mult(mult(c, a), mult(mult(b, a), b)) = mult(mult(c, a), mult(a, mult(b, b)))),
% 5.50/5.68 inference(transitivity,[status(thm)],[4257, 4213, 10283, 10112, 10099, 10096, 10054])).
% 5.50/5.68 tff(10285,plain,
% 5.50/5.68 (ld(mult(c, a), mult(mult(c, a), mult(mult(b, a), b))) = ld(mult(c, a), mult(mult(c, a), mult(a, mult(b, b))))),
% 5.50/5.68 inference(monotonicity,[status(thm)],[10284])).
% 5.50/5.68 tff(10286,plain,
% 5.50/5.68 (ld(mult(c, a), mult(mult(c, a), mult(a, mult(b, b)))) = ld(mult(c, a), mult(mult(c, a), mult(mult(b, a), b)))),
% 5.50/5.68 inference(symmetry,[status(thm)],[10285])).
% 5.50/5.68 tff(10287,plain,
% 5.50/5.68 ((~![B: $i, A: $i] : (ld(A, mult(A, B)) = B)) | (ld(mult(c, a), mult(mult(c, a), mult(a, mult(b, b)))) = mult(a, mult(b, b)))),
% 5.50/5.68 inference(quant_inst,[status(thm)],[])).
% 5.50/5.68 tff(10288,plain,
% 5.50/5.68 (ld(mult(c, a), mult(mult(c, a), mult(a, mult(b, b)))) = mult(a, mult(b, b))),
% 5.50/5.68 inference(unit_resolution,[status(thm)],[10287, 9])).
% 5.50/5.68 tff(10289,plain,
% 5.50/5.68 (mult(a, mult(b, b)) = ld(mult(c, a), mult(mult(c, a), mult(a, mult(b, b))))),
% 5.50/5.68 inference(symmetry,[status(thm)],[10288])).
% 5.50/5.68 tff(10290,plain,
% 5.50/5.68 (mult(mult(a, b), b) = mult(mult(b, a), b)),
% 5.50/5.68 inference(transitivity,[status(thm)],[8548, 10289, 10286, 10083])).
% 5.50/5.68 tff(10291,plain,
% 5.50/5.68 (rd(mult(mult(a, b), b), b) = rd(mult(mult(b, a), b), b)),
% 5.50/5.68 inference(monotonicity,[status(thm)],[10290])).
% 5.50/5.68 tff(10292,plain,
% 5.50/5.68 (mult(a, b) = mult(b, a)),
% 5.50/5.68 inference(transitivity,[status(thm)],[9928, 10291, 9886])).
% 5.50/5.68 tff(10293,plain,
% 5.50/5.68 ($false),
% 5.50/5.68 inference(unit_resolution,[status(thm)],[1, 10292])).
% 5.50/5.68 tff(10294,plain,((mult(mult(a, mult(b, b)), a) = mult(a, mult(a, mult(b, b)))) | (mult(a, b) = mult(b, a)) | (~(mult(mult(c, a), mult(a, b)) = mult(c, mult(mult(a, b), a)))) | (~(mult(mult(c, a), mult(mult(a, mult(b, b)), a)) = mult(c, mult(a, mult(mult(a, mult(b, b)), a))))) | (~(mult(mult(a, a), mult(b, b)) = mult(a, mult(a, mult(b, b))))) | (~(mult(mult(mult(mult(c, a), b), mult(a, b)), a) = mult(mult(mult(c, a), b), mult(a, mult(a, b)))))), inference(lemma,lemma(discharge,[]))).
% 5.50/5.68 tff(10295,plain,
% 5.50/5.68 (mult(mult(a, mult(b, b)), a) = mult(a, mult(a, mult(b, b)))),
% 5.50/5.68 inference(unit_resolution,[status(thm)],[10294, 10041, 9263, 1, 10081, 4313])).
% 5.50/5.68 tff(10296,plain,
% 5.50/5.68 (mult(mult(c, a), mult(a, mult(b, b))) = mult(c, mult(mult(a, mult(b, b)), a))),
% 5.50/5.68 inference(unit_resolution,[status(thm)],[9583, 10295])).
% 5.50/5.68 tff(10297,plain,
% 5.50/5.68 (~(mult(mult(c, mult(mult(mult(a, a), b), b)), a) = mult(c, mult(mult(mult(mult(a, a), b), b), a)))),
% 5.50/5.68 inference(unit_resolution,[status(thm)],[10071, 10296, 10033, 10032, 10031, 4313])).
% 5.50/5.68 tff(10298,plain,
% 5.50/5.68 ((~(mult(mult(c, a), mult(mult(mult(a, a), b), b)) = mult(c, mult(a, mult(mult(mult(a, a), b), b))))) | (~(mult(mult(c, mult(mult(mult(a, a), b), b)), a) = mult(c, mult(mult(mult(mult(a, a), b), b), a))))),
% 5.50/5.68 inference(unit_resolution,[status(thm)],[9649, 10297])).
% 5.50/5.68 tff(10299,plain,
% 5.50/5.68 (~((~(mult(mult(c, a), mult(mult(mult(a, a), b), b)) = mult(c, mult(mult(mult(mult(a, a), b), b), a)))) | (~(mult(mult(c, mult(mult(mult(a, a), b), b)), a) = mult(c, mult(a, mult(mult(mult(a, a), b), b))))))),
% 5.50/5.68 inference(unit_resolution,[status(thm)],[9661, 10298])).
% 5.50/5.68 tff(10300,plain,
% 5.50/5.68 (mult(mult(c, mult(mult(mult(a, a), b), b)), a) = mult(c, mult(a, mult(mult(mult(a, a), b), b)))),
% 5.50/5.68 inference(unit_resolution,[status(thm)],[9663, 10299])).
% 5.50/5.68 tff(10301,plain,
% 5.50/5.68 (mult(c, mult(a, mult(mult(mult(a, a), b), b))) = mult(mult(c, mult(mult(mult(a, a), b), b)), a)),
% 5.50/5.68 inference(symmetry,[status(thm)],[10300])).
% 5.50/5.68 tff(10302,plain,
% 5.50/5.68 (mult(mult(c, a), mult(mult(mult(a, a), b), b)) = mult(c, mult(mult(mult(mult(a, a), b), b), a))),
% 5.50/5.68 inference(unit_resolution,[status(thm)],[9670, 10299])).
% 5.50/5.68 tff(10303,plain,
% 5.50/5.68 ((mult(mult(c, a), mult(mult(mult(a, a), b), b)) = mult(c, mult(a, mult(mult(mult(a, a), b), b)))) <=> (mult(c, mult(mult(mult(mult(a, a), b), b), a)) = mult(mult(c, mult(mult(mult(a, a), b), b)), a))),
% 5.50/5.68 inference(monotonicity,[status(thm)],[10302, 10301])).
% 5.50/5.68 tff(10304,plain,
% 5.50/5.68 ((mult(mult(c, a), mult(mult(mult(a, a), b), b)) = mult(c, mult(a, mult(mult(mult(a, a), b), b)))) <=> (mult(mult(c, mult(mult(mult(a, a), b), b)), a) = mult(c, mult(mult(mult(mult(a, a), b), b), a)))),
% 5.50/5.68 inference(transitivity,[status(thm)],[10303, 10029])).
% 5.50/5.68 tff(10305,plain,
% 5.50/5.68 ((mult(mult(c, mult(mult(mult(a, a), b), b)), a) = mult(c, mult(mult(mult(mult(a, a), b), b), a))) <=> (mult(mult(c, a), mult(mult(mult(a, a), b), b)) = mult(c, mult(a, mult(mult(mult(a, a), b), b))))),
% 5.50/5.68 inference(symmetry,[status(thm)],[10304])).
% 5.50/5.68 tff(10306,plain,
% 5.50/5.68 ((~(mult(mult(c, mult(mult(mult(a, a), b), b)), a) = mult(c, mult(mult(mult(mult(a, a), b), b), a)))) <=> (~(mult(mult(c, a), mult(mult(mult(a, a), b), b)) = mult(c, mult(a, mult(mult(mult(a, a), b), b)))))),
% 5.50/5.68 inference(monotonicity,[status(thm)],[10305])).
% 5.50/5.68 tff(10307,plain,
% 5.50/5.68 (~(mult(mult(c, a), mult(mult(mult(a, a), b), b)) = mult(c, mult(a, mult(mult(mult(a, a), b), b))))),
% 5.50/5.68 inference(modus_ponens,[status(thm)],[10297, 10306])).
% 5.50/5.68 tff(10308,plain,
% 5.50/5.68 (mult(mult(c, a), mult(mult(mult(a, a), b), b)) = mult(c, mult(a, mult(mult(mult(a, a), b), b)))),
% 5.50/5.68 inference(unit_resolution,[status(thm)],[9760, 10300, 10040, 4313, 10031, 10302])).
% 5.50/5.68 tff(10309,plain,
% 5.50/5.68 ($false),
% 5.50/5.68 inference(unit_resolution,[status(thm)],[10308, 10307])).
% 5.50/5.68 tff(10310,plain,((mult(mult(c, mult(mult(a, mult(b, b)), a)), a) = mult(c, mult(a, mult(mult(a, mult(b, b)), a)))) | (~(mult(mult(mult(mult(c, a), b), mult(a, b)), a) = mult(mult(mult(c, a), b), mult(a, mult(a, b))))) | (~(mult(mult(a, mult(a, b)), b) = mult(a, mult(mult(a, b), b)))) | (~(mult(mult(c, a), mult(a, b)) = mult(c, mult(mult(a, b), a)))) | (mult(a, b) = mult(b, a))), inference(lemma,lemma(discharge,[]))).
% 5.50/5.68 tff(10311,plain,
% 5.50/5.68 ((mult(mult(c, mult(mult(a, mult(b, b)), a)), a) = mult(c, mult(a, mult(mult(a, mult(b, b)), a)))) | (~(mult(mult(mult(mult(c, a), b), mult(a, b)), a) = mult(mult(mult(c, a), b), mult(a, mult(a, b))))) | (~(mult(mult(c, a), mult(a, b)) = mult(c, mult(mult(a, b), a)))) | (mult(a, b) = mult(b, a))),
% 5.50/5.68 inference(unit_resolution,[status(thm)],[10310, 10028])).
% 5.50/5.68 tff(10312,plain,
% 5.50/5.68 (mult(mult(c, mult(mult(a, mult(b, b)), a)), a) = mult(c, mult(a, mult(mult(a, mult(b, b)), a)))),
% 5.50/5.68 inference(unit_resolution,[status(thm)],[10311, 4302, 9240, 1])).
% 5.50/5.68 tff(10313,plain,
% 5.50/5.68 (mult(mult(c, a), mult(a, b)) = mult(mult(mult(c, a), b), a)),
% 5.50/5.68 inference(transitivity,[status(thm)],[9263, 2808])).
% 5.50/5.68 tff(10314,plain,
% 5.50/5.68 ((~(mult(mult(mult(c, a), a), b) = mult(mult(c, a), mult(a, b)))) | (~(mult(mult(mult(c, a), b), a) = mult(mult(c, a), mult(b, a))))),
% 5.50/5.68 inference(unit_resolution,[status(thm)],[9049, 4522])).
% 5.50/5.68 tff(10315,plain,
% 5.50/5.68 (~((~(mult(mult(mult(c, a), a), b) = mult(mult(c, a), mult(b, a)))) | (~(mult(mult(mult(c, a), b), a) = mult(mult(c, a), mult(a, b)))))),
% 5.50/5.68 inference(unit_resolution,[status(thm)],[9034, 10314])).
% 5.50/5.68 tff(10316,plain,
% 5.50/5.68 (((~(mult(mult(mult(c, a), a), b) = mult(mult(c, a), mult(b, a)))) | (~(mult(mult(mult(c, a), b), a) = mult(mult(c, a), mult(a, b))))) | (mult(mult(mult(c, a), a), b) = mult(mult(c, a), mult(b, a)))),
% 5.50/5.68 inference(tautology,[status(thm)],[])).
% 5.50/5.68 tff(10317,plain,
% 5.50/5.68 (mult(mult(mult(c, a), a), b) = mult(mult(c, a), mult(b, a))),
% 5.50/5.68 inference(unit_resolution,[status(thm)],[10316, 10315])).
% 5.50/5.68 tff(10318,plain,
% 5.50/5.68 ((mult(mult(mult(c, a), a), b) = mult(mult(c, a), mult(a, b))) <=> (mult(mult(c, a), mult(b, a)) = mult(mult(mult(c, a), b), a))),
% 5.50/5.68 inference(monotonicity,[status(thm)],[10317, 10313])).
% 5.50/5.68 tff(10319,plain,
% 5.50/5.68 ((mult(mult(mult(c, a), a), b) = mult(mult(c, a), mult(a, b))) <=> (mult(mult(mult(c, a), b), a) = mult(mult(c, a), mult(b, a)))),
% 5.50/5.68 inference(transitivity,[status(thm)],[10318, 4515])).
% 5.50/5.68 tff(10320,plain,
% 5.50/5.68 ((mult(mult(mult(c, a), b), a) = mult(mult(c, a), mult(b, a))) <=> (mult(mult(mult(c, a), a), b) = mult(mult(c, a), mult(a, b)))),
% 5.50/5.68 inference(symmetry,[status(thm)],[10319])).
% 5.50/5.68 tff(10321,plain,
% 5.50/5.68 ((~(mult(mult(mult(c, a), b), a) = mult(mult(c, a), mult(b, a)))) <=> (~(mult(mult(mult(c, a), a), b) = mult(mult(c, a), mult(a, b))))),
% 5.50/5.68 inference(monotonicity,[status(thm)],[10320])).
% 5.50/5.68 tff(10322,plain,
% 5.50/5.68 (~(mult(mult(mult(c, a), a), b) = mult(mult(c, a), mult(a, b)))),
% 5.50/5.68 inference(modus_ponens,[status(thm)],[4522, 10321])).
% 5.50/5.68 tff(10323,assumption,(mult(mult(mult(c, a), a), b) = mult(mult(c, a), mult(a, b))), introduced(assumption)).
% 5.50/5.68 tff(10324,plain,
% 5.50/5.68 ($false),
% 5.50/5.68 inference(unit_resolution,[status(thm)],[10323, 10322])).
% 5.50/5.68 tff(10325,plain,((mult(mult(mult(c, a), b), a) = mult(mult(c, a), mult(b, a))) | (~(mult(mult(mult(c, a), a), b) = mult(mult(c, a), mult(a, b)))) | (~(mult(mult(c, a), mult(a, b)) = mult(c, mult(mult(a, b), a))))), inference(lemma,lemma(discharge,[]))).
% 5.50/5.68 tff(10326,plain,
% 5.50/5.68 (~(mult(mult(mult(c, a), a), b) = mult(mult(c, a), mult(a, b)))),
% 5.50/5.68 inference(unit_resolution,[status(thm)],[10325, 4514, 9240])).
% 5.50/5.68 tff(10327,plain,
% 5.50/5.68 (mult(mult(c, a), mult(mult(mult(a, a), b), b)) = mult(c, mult(mult(mult(mult(a, a), b), b), a))),
% 5.50/5.69 inference(unit_resolution,[status(thm)],[10279, 10326, 4302, 9240, 9470, 4337])).
% 5.50/5.69 tff(10328,assumption,(~(mult(mult(mult(c, a), mult(mult(a, a), b)), b) = mult(mult(c, a), mult(b, mult(mult(a, a), b))))), introduced(assumption)).
% 5.50/5.69 tff(10329,plain,
% 5.50/5.69 (((~(mult(mult(mult(c, a), b), mult(mult(a, a), b)) = mult(mult(c, a), mult(mult(mult(a, a), b), b)))) | (~(mult(mult(mult(c, a), mult(mult(a, a), b)), b) = mult(mult(c, a), mult(b, mult(mult(a, a), b)))))) | (mult(mult(mult(c, a), mult(mult(a, a), b)), b) = mult(mult(c, a), mult(b, mult(mult(a, a), b))))),
% 5.50/5.69 inference(tautology,[status(thm)],[])).
% 5.50/5.69 tff(10330,plain,
% 5.50/5.69 ((~(mult(mult(mult(c, a), b), mult(mult(a, a), b)) = mult(mult(c, a), mult(mult(mult(a, a), b), b)))) | (~(mult(mult(mult(c, a), mult(mult(a, a), b)), b) = mult(mult(c, a), mult(b, mult(mult(a, a), b)))))),
% 5.50/5.69 inference(unit_resolution,[status(thm)],[10329, 10328])).
% 5.50/5.69 tff(10331,plain,
% 5.50/5.69 (((~![X0: $i, X1: $i, X2: $i] : ((~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X2, X1)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X1, X2)))))) | (~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X1, X2)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X2, X1)))))))) | ((~((~(mult(mult(mult(c, a), b), mult(mult(a, a), b)) = mult(mult(c, a), mult(mult(mult(a, a), b), b)))) | (~(mult(mult(mult(c, a), mult(mult(a, a), b)), b) = mult(mult(c, a), mult(b, mult(mult(a, a), b))))))) | (~((~(mult(mult(mult(c, a), mult(mult(a, a), b)), b) = mult(mult(c, a), mult(mult(mult(a, a), b), b)))) | (~(mult(mult(mult(c, a), b), mult(mult(a, a), b)) = mult(mult(c, a), mult(b, mult(mult(a, a), b))))))))) <=> ((~![X0: $i, X1: $i, X2: $i] : ((~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X2, X1)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X1, X2)))))) | (~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X1, X2)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X2, X1)))))))) | (~((~(mult(mult(mult(c, a), b), mult(mult(a, a), b)) = mult(mult(c, a), mult(mult(mult(a, a), b), b)))) | (~(mult(mult(mult(c, a), mult(mult(a, a), b)), b) = mult(mult(c, a), mult(b, mult(mult(a, a), b))))))) | (~((~(mult(mult(mult(c, a), mult(mult(a, a), b)), b) = mult(mult(c, a), mult(mult(mult(a, a), b), b)))) | (~(mult(mult(mult(c, a), b), mult(mult(a, a), b)) = mult(mult(c, a), mult(b, mult(mult(a, a), b))))))))),
% 5.50/5.69 inference(rewrite,[status(thm)],[])).
% 5.50/5.69 tff(10332,plain,
% 5.50/5.69 (((~((~(mult(mult(mult(c, a), mult(mult(a, a), b)), b) = mult(mult(c, a), mult(b, mult(mult(a, a), b))))) | (~(mult(mult(mult(c, a), b), mult(mult(a, a), b)) = mult(mult(c, a), mult(mult(mult(a, a), b), b)))))) | (~((~(mult(mult(mult(c, a), mult(mult(a, a), b)), b) = mult(mult(c, a), mult(mult(mult(a, a), b), b)))) | (~(mult(mult(mult(c, a), b), mult(mult(a, a), b)) = mult(mult(c, a), mult(b, mult(mult(a, a), b)))))))) <=> ((~((~(mult(mult(mult(c, a), b), mult(mult(a, a), b)) = mult(mult(c, a), mult(mult(mult(a, a), b), b)))) | (~(mult(mult(mult(c, a), mult(mult(a, a), b)), b) = mult(mult(c, a), mult(b, mult(mult(a, a), b))))))) | (~((~(mult(mult(mult(c, a), mult(mult(a, a), b)), b) = mult(mult(c, a), mult(mult(mult(a, a), b), b)))) | (~(mult(mult(mult(c, a), b), mult(mult(a, a), b)) = mult(mult(c, a), mult(b, mult(mult(a, a), b))))))))),
% 5.50/5.69 inference(rewrite,[status(thm)],[])).
% 5.50/5.69 tff(10333,plain,
% 5.50/5.69 (((~![X0: $i, X1: $i, X2: $i] : ((~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X2, X1)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X1, X2)))))) | (~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X1, X2)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X2, X1)))))))) | ((~((~(mult(mult(mult(c, a), mult(mult(a, a), b)), b) = mult(mult(c, a), mult(b, mult(mult(a, a), b))))) | (~(mult(mult(mult(c, a), b), mult(mult(a, a), b)) = mult(mult(c, a), mult(mult(mult(a, a), b), b)))))) | (~((~(mult(mult(mult(c, a), mult(mult(a, a), b)), b) = mult(mult(c, a), mult(mult(mult(a, a), b), b)))) | (~(mult(mult(mult(c, a), b), mult(mult(a, a), b)) = mult(mult(c, a), mult(b, mult(mult(a, a), b))))))))) <=> ((~![X0: $i, X1: $i, X2: $i] : ((~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X2, X1)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X1, X2)))))) | (~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X1, X2)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X2, X1)))))))) | ((~((~(mult(mult(mult(c, a), b), mult(mult(a, a), b)) = mult(mult(c, a), mult(mult(mult(a, a), b), b)))) | (~(mult(mult(mult(c, a), mult(mult(a, a), b)), b) = mult(mult(c, a), mult(b, mult(mult(a, a), b))))))) | (~((~(mult(mult(mult(c, a), mult(mult(a, a), b)), b) = mult(mult(c, a), mult(mult(mult(a, a), b), b)))) | (~(mult(mult(mult(c, a), b), mult(mult(a, a), b)) = mult(mult(c, a), mult(b, mult(mult(a, a), b)))))))))),
% 5.50/5.69 inference(monotonicity,[status(thm)],[10332])).
% 5.50/5.69 tff(10334,plain,
% 5.50/5.69 (((~![X0: $i, X1: $i, X2: $i] : ((~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X2, X1)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X1, X2)))))) | (~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X1, X2)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X2, X1)))))))) | ((~((~(mult(mult(mult(c, a), mult(mult(a, a), b)), b) = mult(mult(c, a), mult(b, mult(mult(a, a), b))))) | (~(mult(mult(mult(c, a), b), mult(mult(a, a), b)) = mult(mult(c, a), mult(mult(mult(a, a), b), b)))))) | (~((~(mult(mult(mult(c, a), mult(mult(a, a), b)), b) = mult(mult(c, a), mult(mult(mult(a, a), b), b)))) | (~(mult(mult(mult(c, a), b), mult(mult(a, a), b)) = mult(mult(c, a), mult(b, mult(mult(a, a), b))))))))) <=> ((~![X0: $i, X1: $i, X2: $i] : ((~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X2, X1)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X1, X2)))))) | (~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X1, X2)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X2, X1)))))))) | (~((~(mult(mult(mult(c, a), b), mult(mult(a, a), b)) = mult(mult(c, a), mult(mult(mult(a, a), b), b)))) | (~(mult(mult(mult(c, a), mult(mult(a, a), b)), b) = mult(mult(c, a), mult(b, mult(mult(a, a), b))))))) | (~((~(mult(mult(mult(c, a), mult(mult(a, a), b)), b) = mult(mult(c, a), mult(mult(mult(a, a), b), b)))) | (~(mult(mult(mult(c, a), b), mult(mult(a, a), b)) = mult(mult(c, a), mult(b, mult(mult(a, a), b))))))))),
% 5.50/5.69 inference(transitivity,[status(thm)],[10333, 10331])).
% 5.50/5.69 tff(10335,plain,
% 5.50/5.69 ((~![X0: $i, X1: $i, X2: $i] : ((~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X2, X1)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X1, X2)))))) | (~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X1, X2)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X2, X1)))))))) | ((~((~(mult(mult(mult(c, a), mult(mult(a, a), b)), b) = mult(mult(c, a), mult(b, mult(mult(a, a), b))))) | (~(mult(mult(mult(c, a), b), mult(mult(a, a), b)) = mult(mult(c, a), mult(mult(mult(a, a), b), b)))))) | (~((~(mult(mult(mult(c, a), mult(mult(a, a), b)), b) = mult(mult(c, a), mult(mult(mult(a, a), b), b)))) | (~(mult(mult(mult(c, a), b), mult(mult(a, a), b)) = mult(mult(c, a), mult(b, mult(mult(a, a), b))))))))),
% 5.50/5.69 inference(quant_inst,[status(thm)],[])).
% 5.50/5.69 tff(10336,plain,
% 5.50/5.69 ((~![X0: $i, X1: $i, X2: $i] : ((~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X2, X1)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X1, X2)))))) | (~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X1, X2)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X2, X1)))))))) | (~((~(mult(mult(mult(c, a), b), mult(mult(a, a), b)) = mult(mult(c, a), mult(mult(mult(a, a), b), b)))) | (~(mult(mult(mult(c, a), mult(mult(a, a), b)), b) = mult(mult(c, a), mult(b, mult(mult(a, a), b))))))) | (~((~(mult(mult(mult(c, a), mult(mult(a, a), b)), b) = mult(mult(c, a), mult(mult(mult(a, a), b), b)))) | (~(mult(mult(mult(c, a), b), mult(mult(a, a), b)) = mult(mult(c, a), mult(b, mult(mult(a, a), b)))))))),
% 5.50/5.69 inference(modus_ponens,[status(thm)],[10335, 10334])).
% 5.50/5.69 tff(10337,plain,
% 5.50/5.69 ((~((~(mult(mult(mult(c, a), b), mult(mult(a, a), b)) = mult(mult(c, a), mult(mult(mult(a, a), b), b)))) | (~(mult(mult(mult(c, a), mult(mult(a, a), b)), b) = mult(mult(c, a), mult(b, mult(mult(a, a), b))))))) | (~((~(mult(mult(mult(c, a), mult(mult(a, a), b)), b) = mult(mult(c, a), mult(mult(mult(a, a), b), b)))) | (~(mult(mult(mult(c, a), b), mult(mult(a, a), b)) = mult(mult(c, a), mult(b, mult(mult(a, a), b)))))))),
% 5.50/5.69 inference(unit_resolution,[status(thm)],[10336, 30])).
% 5.50/5.69 tff(10338,plain,
% 5.50/5.69 (~((~(mult(mult(mult(c, a), mult(mult(a, a), b)), b) = mult(mult(c, a), mult(mult(mult(a, a), b), b)))) | (~(mult(mult(mult(c, a), b), mult(mult(a, a), b)) = mult(mult(c, a), mult(b, mult(mult(a, a), b))))))),
% 5.50/5.69 inference(unit_resolution,[status(thm)],[10337, 10330])).
% 5.50/5.69 tff(10339,plain,
% 5.50/5.69 (((~(mult(mult(mult(c, a), mult(mult(a, a), b)), b) = mult(mult(c, a), mult(mult(mult(a, a), b), b)))) | (~(mult(mult(mult(c, a), b), mult(mult(a, a), b)) = mult(mult(c, a), mult(b, mult(mult(a, a), b)))))) | (mult(mult(mult(c, a), b), mult(mult(a, a), b)) = mult(mult(c, a), mult(b, mult(mult(a, a), b))))),
% 5.50/5.69 inference(tautology,[status(thm)],[])).
% 5.50/5.69 tff(10340,plain,
% 5.50/5.69 (mult(mult(mult(c, a), b), mult(mult(a, a), b)) = mult(mult(c, a), mult(b, mult(mult(a, a), b)))),
% 5.50/5.69 inference(unit_resolution,[status(thm)],[10339, 10338])).
% 5.50/5.69 tff(10341,plain,
% 5.50/5.69 (mult(mult(c, a), mult(b, mult(mult(a, a), b))) = mult(mult(mult(c, a), b), mult(mult(a, a), b))),
% 5.50/5.69 inference(symmetry,[status(thm)],[10340])).
% 5.50/5.69 tff(10342,assumption,(mult(mult(mult(c, a), b), mult(a, a)) = mult(mult(c, a), mult(mult(a, a), b))), introduced(assumption)).
% 5.50/5.69 tff(10343,plain,
% 5.50/5.69 (mult(mult(mult(mult(c, a), b), mult(a, a)), b) = mult(mult(mult(c, a), mult(mult(a, a), b)), b)),
% 5.50/5.69 inference(monotonicity,[status(thm)],[10342])).
% 5.50/5.69 tff(10344,plain,
% 5.50/5.69 (mult(mult(mult(c, a), mult(mult(a, a), b)), b) = mult(mult(mult(mult(c, a), b), mult(a, a)), b)),
% 5.50/5.69 inference(symmetry,[status(thm)],[10343])).
% 5.50/5.69 tff(10345,plain,
% 5.50/5.69 ((mult(mult(mult(c, a), mult(mult(a, a), b)), b) = mult(mult(c, a), mult(b, mult(mult(a, a), b)))) <=> (mult(mult(mult(mult(c, a), b), mult(a, a)), b) = mult(mult(mult(c, a), b), mult(mult(a, a), b)))),
% 5.50/5.69 inference(monotonicity,[status(thm)],[10344, 10341])).
% 5.50/5.69 tff(10346,plain,
% 5.50/5.69 ((mult(mult(mult(mult(c, a), b), mult(a, a)), b) = mult(mult(mult(c, a), b), mult(mult(a, a), b))) <=> (mult(mult(mult(c, a), mult(mult(a, a), b)), b) = mult(mult(c, a), mult(b, mult(mult(a, a), b))))),
% 5.50/5.69 inference(symmetry,[status(thm)],[10345])).
% 5.50/5.69 tff(10347,plain,
% 5.50/5.69 (mult(mult(mult(mult(a, a), b), b), a) = mult(mult(mult(a, a), mult(b, b)), a)),
% 5.50/5.69 inference(symmetry,[status(thm)],[9723])).
% 5.50/5.69 tff(10348,plain,
% 5.50/5.69 (mult(mult(mult(mult(a, a), b), b), a) = mult(a, mult(mult(a, mult(b, b)), a))),
% 5.50/5.69 inference(transitivity,[status(thm)],[10347, 9619])).
% 5.50/5.69 tff(10349,plain,
% 5.50/5.69 (mult(c, mult(mult(mult(mult(a, a), b), b), a)) = mult(c, mult(a, mult(mult(a, mult(b, b)), a)))),
% 5.50/5.69 inference(monotonicity,[status(thm)],[10348])).
% 5.50/5.69 tff(10350,plain,
% 5.50/5.69 (mult(mult(c, a), mult(mult(mult(a, a), b), b)) = mult(mult(mult(c, a), b), mult(mult(a, a), b))),
% 5.50/5.69 inference(transitivity,[status(thm)],[9697, 10349, 9617, 9615, 9716, 9703])).
% 5.50/5.69 tff(10351,plain,
% 5.50/5.69 ((mult(mult(mult(c, a), mult(mult(a, a), b)), b) = mult(mult(c, a), mult(mult(mult(a, a), b), b))) <=> (mult(mult(mult(mult(c, a), b), mult(a, a)), b) = mult(mult(mult(c, a), b), mult(mult(a, a), b)))),
% 5.50/5.69 inference(monotonicity,[status(thm)],[10344, 10350])).
% 5.50/5.69 tff(10352,plain,
% 5.50/5.69 (((~(mult(mult(mult(c, a), mult(mult(a, a), b)), b) = mult(mult(c, a), mult(mult(mult(a, a), b), b)))) | (~(mult(mult(mult(c, a), b), mult(mult(a, a), b)) = mult(mult(c, a), mult(b, mult(mult(a, a), b)))))) | (mult(mult(mult(c, a), mult(mult(a, a), b)), b) = mult(mult(c, a), mult(mult(mult(a, a), b), b)))),
% 5.50/5.69 inference(tautology,[status(thm)],[])).
% 5.50/5.69 tff(10353,plain,
% 5.50/5.69 (mult(mult(mult(c, a), mult(mult(a, a), b)), b) = mult(mult(c, a), mult(mult(mult(a, a), b), b))),
% 5.50/5.69 inference(unit_resolution,[status(thm)],[10352, 10338])).
% 5.50/5.69 tff(10354,plain,
% 5.50/5.69 (mult(mult(mult(mult(c, a), b), mult(a, a)), b) = mult(mult(mult(c, a), b), mult(mult(a, a), b))),
% 5.50/5.69 inference(modus_ponens,[status(thm)],[10353, 10351])).
% 5.50/5.69 tff(10355,plain,
% 5.50/5.69 (mult(mult(mult(c, a), mult(mult(a, a), b)), b) = mult(mult(c, a), mult(b, mult(mult(a, a), b)))),
% 5.50/5.69 inference(modus_ponens,[status(thm)],[10354, 10346])).
% 5.50/5.69 tff(10356,plain,
% 5.50/5.69 ($false),
% 5.50/5.69 inference(unit_resolution,[status(thm)],[10328, 10355])).
% 5.50/5.69 tff(10357,plain,((mult(mult(mult(c, a), mult(mult(a, a), b)), b) = mult(mult(c, a), mult(b, mult(mult(a, a), b)))) | (~(mult(mult(mult(c, a), b), mult(a, a)) = mult(mult(c, a), mult(mult(a, a), b)))) | (~(mult(mult(c, a), mult(mult(mult(a, a), b), b)) = mult(c, mult(mult(mult(mult(a, a), b), b), a)))) | (~(mult(mult(c, mult(mult(a, mult(b, b)), a)), a) = mult(c, mult(a, mult(mult(a, mult(b, b)), a))))) | (~(mult(mult(mult(mult(c, a), b), b), mult(a, a)) = mult(mult(mult(c, a), b), mult(mult(a, a), b))))), inference(lemma,lemma(discharge,[]))).
% 5.50/5.69 tff(10358,plain,
% 5.50/5.69 (mult(mult(mult(c, a), mult(mult(a, a), b)), b) = mult(mult(c, a), mult(b, mult(mult(a, a), b)))),
% 5.50/5.69 inference(unit_resolution,[status(thm)],[10357, 9349, 10327, 10312, 9470])).
% 5.50/5.69 tff(10359,assumption,(~(mult(mult(mult(b, a), a), b) = mult(mult(b, a), mult(b, a)))), introduced(assumption)).
% 5.50/5.69 tff(10360,plain,
% 5.50/5.69 ((~(mult(mult(mult(b, a), a), b) = mult(mult(b, a), mult(b, a)))) | (~(mult(mult(mult(b, a), b), a) = mult(mult(b, a), mult(a, b))))),
% 5.50/5.69 inference(unit_resolution,[status(thm)],[4634, 10359])).
% 5.50/5.69 tff(10361,plain,
% 5.50/5.69 (~((~(mult(mult(mult(b, a), a), b) = mult(mult(b, a), mult(a, b)))) | (~(mult(mult(mult(b, a), b), a) = mult(mult(b, a), mult(b, a)))))),
% 5.50/5.69 inference(unit_resolution,[status(thm)],[4646, 10360])).
% 5.50/5.69 tff(10362,plain,
% 5.50/5.69 (((~(mult(mult(mult(b, a), a), b) = mult(mult(b, a), mult(a, b)))) | (~(mult(mult(mult(b, a), b), a) = mult(mult(b, a), mult(b, a))))) | (mult(mult(mult(b, a), b), a) = mult(mult(b, a), mult(b, a)))),
% 5.50/5.69 inference(tautology,[status(thm)],[])).
% 5.50/5.69 tff(10363,plain,
% 5.50/5.69 (mult(mult(mult(b, a), b), a) = mult(mult(b, a), mult(b, a))),
% 5.50/5.69 inference(unit_resolution,[status(thm)],[10362, 10361])).
% 5.50/5.69 tff(10364,plain,
% 5.50/5.69 ((~![C: $i, B: $i, A: $i] : (mult(mult(mult(A, B), C), B) = mult(A, mult(mult(B, C), B)))) | (mult(mult(mult(b, a), b), a) = mult(b, mult(mult(a, b), a)))),
% 5.50/5.69 inference(quant_inst,[status(thm)],[])).
% 5.50/5.69 tff(10365,plain,
% 5.50/5.69 (mult(mult(mult(b, a), b), a) = mult(b, mult(mult(a, b), a))),
% 5.50/5.69 inference(unit_resolution,[status(thm)],[10364, 860])).
% 5.50/5.69 tff(10366,plain,
% 5.50/5.69 (mult(b, mult(mult(a, b), a)) = mult(mult(mult(b, a), b), a)),
% 5.50/5.69 inference(symmetry,[status(thm)],[10365])).
% 5.50/5.69 tff(10367,plain,
% 5.50/5.69 ((~![B: $i, A: $i] : (rd(mult(A, B), B) = A)) | (rd(mult(mult(mult(a, a), b), a), a) = mult(mult(a, a), b))),
% 5.50/5.69 inference(quant_inst,[status(thm)],[])).
% 5.50/5.69 tff(10368,plain,
% 5.50/5.69 (rd(mult(mult(mult(a, a), b), a), a) = mult(mult(a, a), b)),
% 5.50/5.69 inference(unit_resolution,[status(thm)],[10367, 72])).
% 5.50/5.69 tff(10369,assumption,(~(mult(mult(mult(a, a), b), a) = mult(a, mult(mult(a, b), a)))), introduced(assumption)).
% 5.50/5.69 tff(10370,plain,
% 5.50/5.69 ($false),
% 5.50/5.69 inference(unit_resolution,[status(thm)],[7624, 860, 10369])).
% 5.50/5.69 tff(10371,plain,(mult(mult(mult(a, a), b), a) = mult(a, mult(mult(a, b), a))), inference(lemma,lemma(discharge,[]))).
% 5.50/5.69 tff(10372,plain,
% 5.50/5.69 (mult(mult(mult(a, a), b), a) = mult(mult(mult(a, b), a), a)),
% 5.50/5.69 inference(transitivity,[status(thm)],[10371, 7623, 7621, 7619])).
% 5.50/5.69 tff(10373,plain,
% 5.50/5.69 (rd(mult(mult(mult(a, a), b), a), a) = rd(mult(mult(mult(a, b), a), a), a)),
% 5.50/5.69 inference(monotonicity,[status(thm)],[10372])).
% 5.50/5.69 tff(10374,plain,
% 5.50/5.69 (rd(mult(mult(mult(a, b), a), a), a) = rd(mult(mult(mult(a, a), b), a), a)),
% 5.50/5.69 inference(symmetry,[status(thm)],[10373])).
% 5.50/5.69 tff(10375,plain,
% 5.50/5.69 ((~![B: $i, A: $i] : (rd(mult(A, B), B) = A)) | (rd(mult(mult(mult(a, b), a), a), a) = mult(mult(a, b), a))),
% 5.50/5.69 inference(quant_inst,[status(thm)],[])).
% 5.50/5.69 tff(10376,plain,
% 5.50/5.69 (rd(mult(mult(mult(a, b), a), a), a) = mult(mult(a, b), a)),
% 5.50/5.69 inference(unit_resolution,[status(thm)],[10375, 72])).
% 5.50/5.69 tff(10377,plain,
% 5.50/5.69 (mult(mult(a, b), a) = rd(mult(mult(mult(a, b), a), a), a)),
% 5.50/5.69 inference(symmetry,[status(thm)],[10376])).
% 5.50/5.69 tff(10378,plain,
% 5.50/5.69 (mult(mult(a, b), a) = mult(mult(a, a), b)),
% 5.50/5.69 inference(transitivity,[status(thm)],[10377, 10374, 10368])).
% 5.50/5.69 tff(10379,plain,
% 5.50/5.69 (mult(b, mult(mult(a, b), a)) = mult(b, mult(mult(a, a), b))),
% 5.50/5.69 inference(monotonicity,[status(thm)],[10378])).
% 5.50/5.69 tff(10380,plain,
% 5.50/5.69 (mult(b, mult(mult(a, a), b)) = mult(b, mult(mult(a, b), a))),
% 5.50/5.70 inference(symmetry,[status(thm)],[10379])).
% 5.50/5.70 tff(10381,plain,
% 5.50/5.70 ((~![B: $i, A: $i] : (ld(A, mult(A, B)) = B)) | (ld(mult(c, a), mult(mult(c, a), mult(b, mult(mult(a, a), b)))) = mult(b, mult(mult(a, a), b)))),
% 5.50/5.70 inference(quant_inst,[status(thm)],[])).
% 5.50/5.70 tff(10382,plain,
% 5.50/5.70 (ld(mult(c, a), mult(mult(c, a), mult(b, mult(mult(a, a), b)))) = mult(b, mult(mult(a, a), b))),
% 5.50/5.70 inference(unit_resolution,[status(thm)],[10381, 9])).
% 5.50/5.70 tff(10383,plain,
% 5.50/5.70 (mult(mult(c, a), mult(mult(a, a), b)) = mult(mult(mult(c, a), b), mult(a, a))),
% 5.50/5.70 inference(symmetry,[status(thm)],[10342])).
% 5.50/5.70 tff(10384,plain,
% 5.50/5.70 (mult(mult(mult(c, a), mult(mult(a, a), b)), b) = mult(mult(mult(mult(c, a), b), mult(a, a)), b)),
% 5.50/5.70 inference(monotonicity,[status(thm)],[10383])).
% 5.50/5.70 tff(10385,assumption,(mult(mult(mult(c, a), mult(mult(a, a), b)), b) = mult(mult(c, a), mult(b, mult(mult(a, a), b)))), introduced(assumption)).
% 5.50/5.70 tff(10386,plain,
% 5.50/5.70 (mult(mult(c, a), mult(b, mult(mult(a, a), b))) = mult(mult(mult(c, a), mult(mult(a, a), b)), b)),
% 5.50/5.70 inference(symmetry,[status(thm)],[10385])).
% 5.50/5.70 tff(10387,plain,
% 5.50/5.70 (mult(mult(c, a), mult(b, mult(mult(a, a), b))) = mult(mult(c, a), mult(mult(b, mult(a, a)), b))),
% 5.50/5.70 inference(transitivity,[status(thm)],[10386, 10384, 4440])).
% 5.50/5.70 tff(10388,plain,
% 5.50/5.70 (ld(mult(c, a), mult(mult(c, a), mult(b, mult(mult(a, a), b)))) = ld(mult(c, a), mult(mult(c, a), mult(mult(b, mult(a, a)), b)))),
% 5.50/5.70 inference(monotonicity,[status(thm)],[10387])).
% 5.50/5.70 tff(10389,plain,
% 5.50/5.70 (ld(mult(c, a), mult(mult(c, a), mult(mult(b, mult(a, a)), b))) = ld(mult(c, a), mult(mult(c, a), mult(b, mult(mult(a, a), b))))),
% 5.50/5.70 inference(symmetry,[status(thm)],[10388])).
% 5.50/5.70 tff(10390,plain,
% 5.50/5.70 (mult(mult(mult(b, a), a), b) = mult(mult(b, a), mult(b, a))),
% 5.50/5.70 inference(transitivity,[status(thm)],[4603, 4484, 10389, 10382, 10380, 10366, 10363])).
% 5.50/5.70 tff(10391,plain,
% 5.50/5.70 ($false),
% 5.50/5.70 inference(unit_resolution,[status(thm)],[10359, 10390])).
% 5.50/5.70 tff(10392,plain,((~(mult(mult(a, mult(b, a)), a) = mult(a, mult(a, mult(b, a))))) | (mult(mult(mult(b, a), a), b) = mult(mult(b, a), mult(b, a))) | (~(mult(mult(mult(c, a), mult(mult(a, a), b)), b) = mult(mult(c, a), mult(b, mult(mult(a, a), b))))) | (~(mult(mult(mult(c, a), b), mult(a, a)) = mult(mult(c, a), mult(mult(a, a), b))))), inference(lemma,lemma(discharge,[]))).
% 5.50/5.70 tff(10393,plain,
% 5.50/5.70 (~(mult(mult(a, mult(b, a)), a) = mult(a, mult(a, mult(b, a))))),
% 5.50/5.70 inference(unit_resolution,[status(thm)],[10392, 4633, 10358, 9349])).
% 5.50/5.70 tff(10394,assumption,(~(mult(mult(a, a), mult(b, a)) = mult(a, mult(a, mult(b, a))))), introduced(assumption)).
% 5.50/5.70 tff(10395,assumption,(~(mult(mult(a, mult(b, a)), a) = mult(a, mult(a, mult(b, a))))), introduced(assumption)).
% 5.50/5.70 tff(10396,plain,
% 5.50/5.70 ((~(mult(mult(a, a), mult(b, a)) = mult(a, mult(mult(b, a), a)))) | (~(mult(mult(a, mult(b, a)), a) = mult(a, mult(a, mult(b, a)))))),
% 5.50/5.70 inference(unit_resolution,[status(thm)],[7672, 10395])).
% 5.50/5.70 tff(10397,plain,
% 5.50/5.70 (((~(mult(mult(a, a), mult(b, a)) = mult(a, mult(a, mult(b, a))))) | (~(mult(mult(a, mult(b, a)), a) = mult(a, mult(mult(b, a), a))))) | (mult(mult(a, a), mult(b, a)) = mult(a, mult(a, mult(b, a))))),
% 5.50/5.70 inference(tautology,[status(thm)],[])).
% 5.50/5.70 tff(10398,plain,
% 5.50/5.70 ((~(mult(mult(a, a), mult(b, a)) = mult(a, mult(a, mult(b, a))))) | (~(mult(mult(a, mult(b, a)), a) = mult(a, mult(mult(b, a), a))))),
% 5.50/5.70 inference(unit_resolution,[status(thm)],[10397, 10394])).
% 5.50/5.70 tff(10399,assumption,((~(mult(mult(a, a), mult(b, a)) = mult(a, mult(mult(b, a), a)))) | (~(mult(mult(a, mult(b, a)), a) = mult(a, mult(a, mult(b, a)))))), introduced(assumption)).
% 5.50/5.70 tff(10400,plain,
% 5.50/5.70 ($false),
% 5.50/5.70 inference(unit_resolution,[status(thm)],[7676, 30, 10399, 10398])).
% 5.50/5.70 tff(10401,plain,((~((~(mult(mult(a, a), mult(b, a)) = mult(a, mult(mult(b, a), a)))) | (~(mult(mult(a, mult(b, a)), a) = mult(a, mult(a, mult(b, a))))))) | (mult(mult(a, a), mult(b, a)) = mult(a, mult(a, mult(b, a))))), inference(lemma,lemma(discharge,[]))).
% 5.50/5.70 tff(10402,plain,
% 5.50/5.70 ($false),
% 5.50/5.70 inference(unit_resolution,[status(thm)],[10401, 10396, 10394])).
% 5.50/5.70 tff(10403,plain,((mult(mult(a, a), mult(b, a)) = mult(a, mult(a, mult(b, a)))) | (mult(mult(a, mult(b, a)), a) = mult(a, mult(a, mult(b, a))))), inference(lemma,lemma(discharge,[]))).
% 5.50/5.70 tff(10404,plain,
% 5.50/5.70 (mult(mult(a, a), mult(b, a)) = mult(a, mult(a, mult(b, a)))),
% 5.50/5.70 inference(unit_resolution,[status(thm)],[10403, 10393])).
% 5.50/5.70 tff(10405,plain,
% 5.50/5.70 (~(mult(mult(mult(a, b), c), a) = mult(mult(a, b), mult(c, a)))),
% 5.50/5.70 inference(unit_resolution,[status(thm)],[9086, 248, 570])).
% 5.50/5.70 tff(10406,plain,
% 5.50/5.70 ($false),
% 5.50/5.70 inference(unit_resolution,[status(thm)],[185, 252, 10405])).
% 5.50/5.70 tff(10407,plain,((mult(mult(mult(a, b), c), a) = mult(mult(a, b), mult(a, c))) | (mult(mult(c, a), b) = mult(c, mult(a, b)))), inference(lemma,lemma(discharge,[]))).
% 5.50/5.70 tff(10408,plain,
% 5.50/5.70 (mult(mult(mult(a, b), c), a) = mult(mult(a, b), mult(a, c))),
% 5.50/5.70 inference(unit_resolution,[status(thm)],[10407, 570])).
% 5.50/5.70 tff(10409,plain,
% 5.50/5.70 (mult(a, mult(a, mult(c, b))) = mult(a, mult(mult(a, c), b))),
% 5.50/5.70 inference(monotonicity,[status(thm)],[9246])).
% 5.50/5.70 tff(10410,plain,
% 5.50/5.70 (mult(a, mult(mult(a, c), b)) = mult(a, mult(a, mult(c, b)))),
% 5.50/5.70 inference(symmetry,[status(thm)],[10409])).
% 5.50/5.70 tff(10411,plain,
% 5.50/5.70 ((mult(mult(a, a), mult(b, c)) = mult(a, mult(a, mult(b, c)))) | (~(mult(mult(mult(a, b), c), a) = mult(mult(a, b), mult(a, c)))) | (~(mult(mult(a, b), mult(a, c)) = mult(a, mult(b, mult(a, c))))) | (~(mult(mult(a, b), c) = mult(a, mult(b, c))))),
% 5.50/5.70 inference(unit_resolution,[status(thm)],[5150, 3433])).
% 5.50/5.70 tff(10412,plain,
% 5.50/5.70 ((mult(mult(a, a), mult(b, c)) = mult(a, mult(a, mult(b, c)))) | (~(mult(mult(mult(a, b), c), a) = mult(mult(a, b), mult(a, c)))) | (~(mult(mult(a, b), mult(a, c)) = mult(a, mult(b, mult(a, c)))))),
% 5.50/5.70 inference(unit_resolution,[status(thm)],[10411, 8959])).
% 5.50/5.70 tff(10413,plain,
% 5.50/5.70 (~(mult(mult(a, b), mult(a, c)) = mult(a, mult(b, mult(a, c))))),
% 5.50/5.70 inference(unit_resolution,[status(thm)],[10412, 3404, 168])).
% 5.50/5.70 tff(10414,plain,
% 5.50/5.70 (~((~(mult(mult(a, mult(a, c)), b) = mult(a, mult(b, mult(a, c))))) | (~(mult(mult(a, b), mult(a, c)) = mult(a, mult(mult(a, c), b)))))),
% 5.50/5.70 inference(unit_resolution,[status(thm)],[8154, 10413])).
% 5.50/5.70 tff(10415,plain,
% 5.50/5.70 (mult(mult(a, b), mult(a, c)) = mult(a, mult(mult(a, c), b))),
% 5.50/5.70 inference(unit_resolution,[status(thm)],[138, 10414])).
% 5.50/5.70 tff(10416,plain,
% 5.50/5.70 (mult(mult(mult(a, b), c), a) = mult(mult(a, mult(b, c)), a)),
% 5.50/5.70 inference(monotonicity,[status(thm)],[8959])).
% 5.50/5.70 tff(10417,plain,
% 5.50/5.70 (mult(mult(a, mult(b, c)), a) = mult(mult(mult(a, b), c), a)),
% 5.50/5.70 inference(symmetry,[status(thm)],[10416])).
% 5.50/5.70 tff(10418,plain,
% 5.50/5.70 (mult(a, mult(a, mult(b, c))) = mult(mult(a, mult(b, c)), a)),
% 5.50/5.70 inference(symmetry,[status(thm)],[5142])).
% 5.50/5.70 tff(10419,plain,
% 5.50/5.70 (mult(a, mult(b, c)) = mult(mult(a, b), c)),
% 5.50/5.70 inference(symmetry,[status(thm)],[8959])).
% 5.50/5.70 tff(10420,plain,
% 5.50/5.70 (mult(a, mult(a, mult(b, c))) = mult(a, mult(mult(a, b), c))),
% 5.50/5.70 inference(monotonicity,[status(thm)],[10419])).
% 5.50/5.70 tff(10421,plain,
% 5.50/5.70 (mult(a, mult(mult(a, b), c)) = mult(a, mult(a, mult(b, c)))),
% 5.50/5.70 inference(symmetry,[status(thm)],[10420])).
% 5.50/5.70 tff(10422,plain,
% 5.50/5.70 (mult(a, mult(mult(a, b), c)) = mult(a, mult(a, mult(c, b)))),
% 5.50/5.70 inference(transitivity,[status(thm)],[10421, 10418, 10417, 168, 10415, 10410])).
% 5.50/5.70 tff(10423,plain,
% 5.50/5.70 (ld(a, mult(a, mult(mult(a, b), c))) = ld(a, mult(a, mult(a, mult(c, b))))),
% 5.50/5.70 inference(monotonicity,[status(thm)],[10422])).
% 5.50/5.70 tff(10424,plain,
% 5.50/5.70 (mult(a, mult(b, c)) = mult(a, mult(c, b))),
% 5.50/5.70 inference(transitivity,[status(thm)],[10419, 561, 10423, 802])).
% 5.50/5.70 tff(10425,plain,
% 5.50/5.70 (ld(a, mult(a, mult(b, c))) = ld(a, mult(a, mult(c, b)))),
% 5.50/5.70 inference(monotonicity,[status(thm)],[10424])).
% 5.50/5.70 tff(10426,plain,
% 5.50/5.70 (mult(b, c) = mult(c, b)),
% 5.50/5.70 inference(transitivity,[status(thm)],[3142, 10425, 807])).
% 5.50/5.70 tff(10427,plain,
% 5.50/5.70 (mult(mult(a, a), mult(b, c)) = mult(mult(a, a), mult(c, b))),
% 5.50/5.70 inference(monotonicity,[status(thm)],[10426])).
% 5.50/5.70 tff(10428,plain,
% 5.50/5.70 (mult(mult(a, a), mult(c, b)) = mult(mult(a, a), mult(b, c))),
% 5.50/5.70 inference(symmetry,[status(thm)],[10427])).
% 5.50/5.70 tff(10429,plain,
% 5.50/5.70 (mult(mult(a, mult(b, c)), a) = mult(a, mult(mult(b, c), a))),
% 5.50/5.70 inference(transitivity,[status(thm)],[10417, 168, 10415, 10410, 8186, 10428, 5148])).
% 5.50/5.70 tff(10430,plain,
% 5.50/5.70 ((~(mult(mult(a, mult(b, c)), a) = mult(a, mult(mult(b, c), a)))) | (mult(mult(a, b), mult(a, c)) = mult(a, mult(b, mult(a, c)))) | (~(mult(mult(mult(a, b), c), a) = mult(mult(a, b), mult(a, c)))) | (~(mult(mult(a, b), c) = mult(a, mult(b, c))))),
% 5.50/5.70 inference(unit_resolution,[status(thm)],[5128, 3433])).
% 5.50/5.70 tff(10431,plain,
% 5.50/5.70 ((~(mult(mult(a, mult(b, c)), a) = mult(a, mult(mult(b, c), a)))) | (mult(mult(a, b), mult(a, c)) = mult(a, mult(b, mult(a, c)))) | (~(mult(mult(mult(a, b), c), a) = mult(mult(a, b), mult(a, c))))),
% 5.50/5.70 inference(unit_resolution,[status(thm)],[10430, 8959])).
% 5.50/5.70 tff(10432,plain,
% 5.50/5.70 (~(mult(mult(a, mult(b, c)), a) = mult(a, mult(mult(b, c), a)))),
% 5.50/5.70 inference(unit_resolution,[status(thm)],[10431, 10413, 168])).
% 5.50/5.70 tff(10433,plain,
% 5.50/5.70 ($false),
% 5.50/5.70 inference(unit_resolution,[status(thm)],[10432, 10429])).
% 5.50/5.70 tff(10434,plain,((mult(mult(a, a), mult(b, c)) = mult(a, mult(a, mult(b, c)))) | (~(mult(mult(mult(a, b), c), a) = mult(mult(a, b), mult(a, c))))), inference(lemma,lemma(discharge,[]))).
% 5.50/5.70 tff(10435,plain,
% 5.50/5.70 (mult(mult(a, a), mult(b, c)) = mult(a, mult(a, mult(b, c)))),
% 5.50/5.70 inference(unit_resolution,[status(thm)],[10434, 10408])).
% 5.50/5.70 tff(10436,plain,
% 5.50/5.70 (mult(mult(a, mult(b, c)), a) = mult(a, mult(mult(b, c), a))),
% 5.50/5.70 inference(unit_resolution,[status(thm)],[1847, 10435])).
% 5.50/5.70 tff(10437,plain,
% 5.50/5.70 ((mult(a, mult(mult(a, c), a)) = mult(mult(a, mult(a, c)), a)) <=> (mult(mult(a, mult(a, c)), a) = mult(a, mult(mult(a, c), a)))),
% 5.50/5.70 inference(commutativity,[status(thm)],[])).
% 5.50/5.70 tff(10438,plain,
% 5.50/5.70 (mult(mult(a, mult(b, c)), a) = mult(a, mult(mult(b, c), a))),
% 5.50/5.70 inference(unit_resolution,[status(thm)],[1847, 1154])).
% 5.50/5.70 tff(10439,plain,
% 5.50/5.70 (mult(a, mult(mult(b, c), a)) = mult(a, mult(b, mult(a, c)))),
% 5.50/5.70 inference(symmetry,[status(thm)],[5022])).
% 5.50/5.70 tff(10440,assumption,(~(mult(mult(a, mult(a, c)), b) = mult(a, mult(mult(a, c), b)))), introduced(assumption)).
% 5.50/5.70 tff(10441,plain,
% 5.50/5.70 ((~(mult(mult(a, mult(a, c)), b) = mult(a, mult(mult(a, c), b)))) | (~(mult(mult(a, b), mult(a, c)) = mult(a, mult(b, mult(a, c)))))),
% 5.50/5.70 inference(unit_resolution,[status(thm)],[899, 10440])).
% 5.50/5.70 tff(10442,plain,
% 5.50/5.70 (~((~(mult(mult(a, mult(a, c)), b) = mult(a, mult(b, mult(a, c))))) | (~(mult(mult(a, b), mult(a, c)) = mult(a, mult(mult(a, c), b)))))),
% 5.50/5.70 inference(unit_resolution,[status(thm)],[143, 10441])).
% 5.50/5.70 tff(10443,plain,
% 5.50/5.70 (mult(mult(a, b), mult(a, c)) = mult(a, mult(mult(a, c), b))),
% 5.50/5.70 inference(unit_resolution,[status(thm)],[138, 10442])).
% 5.50/5.70 tff(10444,plain,
% 5.50/5.70 (mult(a, mult(mult(a, c), b)) = mult(mult(a, b), mult(a, c))),
% 5.50/5.70 inference(symmetry,[status(thm)],[10443])).
% 5.50/5.70 tff(10445,plain,
% 5.50/5.70 (mult(a, mult(mult(a, c), b)) = mult(a, mult(b, mult(a, c)))),
% 5.50/5.70 inference(transitivity,[status(thm)],[10444, 403, 793, 510, 10439])).
% 5.50/5.70 tff(10446,plain,
% 5.50/5.70 ((mult(mult(a, mult(a, c)), b) = mult(a, mult(mult(a, c), b))) <=> (mult(mult(a, mult(a, c)), b) = mult(a, mult(b, mult(a, c))))),
% 5.50/5.70 inference(monotonicity,[status(thm)],[10445])).
% 5.50/5.70 tff(10447,plain,
% 5.50/5.70 ((mult(mult(a, mult(a, c)), b) = mult(a, mult(b, mult(a, c)))) <=> (mult(mult(a, mult(a, c)), b) = mult(a, mult(mult(a, c), b)))),
% 5.50/5.70 inference(symmetry,[status(thm)],[10446])).
% 5.50/5.70 tff(10448,plain,
% 5.50/5.70 (mult(mult(a, mult(a, c)), b) = mult(a, mult(b, mult(a, c)))),
% 5.50/5.70 inference(unit_resolution,[status(thm)],[836, 10442])).
% 5.50/5.70 tff(10449,plain,
% 5.50/5.70 (mult(mult(a, mult(a, c)), b) = mult(a, mult(mult(a, c), b))),
% 5.50/5.70 inference(modus_ponens,[status(thm)],[10448, 10447])).
% 5.50/5.70 tff(10450,plain,
% 5.50/5.70 ($false),
% 5.50/5.70 inference(unit_resolution,[status(thm)],[10440, 10449])).
% 5.50/5.70 tff(10451,plain,((mult(mult(a, mult(a, c)), b) = mult(a, mult(mult(a, c), b))) | (~(mult(mult(a, mult(b, c)), a) = mult(a, mult(mult(b, c), a)))) | (~(mult(mult(mult(a, b), c), a) = mult(mult(a, b), mult(a, c)))) | (~(mult(mult(a, b), c) = mult(a, mult(b, c)))) | (~(mult(mult(b, c), a) = mult(b, mult(a, c))))), inference(lemma,lemma(discharge,[]))).
% 5.50/5.70 tff(10452,plain,
% 5.50/5.70 ((mult(mult(a, mult(a, c)), b) = mult(a, mult(mult(a, c), b))) | (~(mult(mult(a, mult(b, c)), a) = mult(a, mult(mult(b, c), a)))) | (~(mult(mult(mult(a, b), c), a) = mult(mult(a, b), mult(a, c)))) | (~(mult(mult(a, b), c) = mult(a, mult(b, c))))),
% 5.50/5.70 inference(unit_resolution,[status(thm)],[10451, 3433])).
% 5.50/5.70 tff(10453,plain,
% 5.50/5.70 ((mult(mult(a, mult(a, c)), b) = mult(a, mult(mult(a, c), b))) | (~(mult(mult(a, mult(b, c)), a) = mult(a, mult(mult(b, c), a)))) | (~(mult(mult(mult(a, b), c), a) = mult(mult(a, b), mult(a, c))))),
% 5.50/5.70 inference(unit_resolution,[status(thm)],[10452, 8959])).
% 5.50/5.70 tff(10454,plain,
% 5.50/5.70 (mult(mult(a, mult(a, c)), b) = mult(a, mult(mult(a, c), b))),
% 5.50/5.70 inference(unit_resolution,[status(thm)],[10453, 10438, 168])).
% 5.50/5.70 tff(10455,plain,
% 5.50/5.70 (mult(mult(mult(a, a), c), b) = mult(mult(mult(a, a), b), c)),
% 5.50/5.70 inference(transitivity,[status(thm)],[1025, 1154, 2381, 257, 450])).
% 5.50/5.70 tff(10456,plain,
% 5.50/5.70 ((mult(mult(mult(a, a), c), b) = mult(mult(a, a), mult(c, b))) <=> (mult(mult(mult(a, a), b), c) = mult(mult(a, a), mult(c, b)))),
% 5.50/5.70 inference(monotonicity,[status(thm)],[10455])).
% 5.50/5.70 tff(10457,plain,
% 5.50/5.70 ((mult(mult(mult(a, a), b), c) = mult(mult(a, a), mult(c, b))) <=> (mult(mult(mult(a, a), c), b) = mult(mult(a, a), mult(c, b)))),
% 5.50/5.70 inference(symmetry,[status(thm)],[10456])).
% 5.50/5.70 tff(10458,plain,
% 5.50/5.70 (mult(mult(mult(a, a), b), c) = mult(mult(a, a), mult(c, b))),
% 5.50/5.70 inference(unit_resolution,[status(thm)],[326, 1024])).
% 5.50/5.70 tff(10459,plain,
% 5.50/5.70 (mult(mult(mult(a, a), c), b) = mult(mult(a, a), mult(c, b))),
% 5.50/5.70 inference(modus_ponens,[status(thm)],[10458, 10457])).
% 5.50/5.70 tff(10460,plain,
% 5.50/5.70 ($false),
% 5.50/5.70 inference(unit_resolution,[status(thm)],[1022, 10459])).
% 5.50/5.70 tff(10461,plain,((mult(mult(mult(a, a), c), b) = mult(mult(a, a), mult(c, b))) | (~(mult(mult(a, a), mult(b, c)) = mult(a, mult(a, mult(b, c))))) | (~(mult(mult(a, mult(a, b)), c) = mult(a, mult(mult(a, b), c)))) | (~(mult(mult(a, a), b) = mult(a, mult(a, b)))) | (~(mult(mult(a, b), c) = mult(a, mult(b, c))))), inference(lemma,lemma(discharge,[]))).
% 5.50/5.70 tff(10462,plain,
% 5.50/5.70 ((mult(mult(mult(a, a), c), b) = mult(mult(a, a), mult(c, b))) | (~(mult(mult(a, a), mult(b, c)) = mult(a, mult(a, mult(b, c))))) | (~(mult(mult(a, mult(a, b)), c) = mult(a, mult(mult(a, b), c)))) | (~(mult(mult(a, b), c) = mult(a, mult(b, c))))),
% 5.50/5.70 inference(unit_resolution,[status(thm)],[10461, 4190])).
% 5.50/5.70 tff(10463,plain,
% 5.50/5.70 ((mult(mult(mult(a, a), c), b) = mult(mult(a, a), mult(c, b))) | (~(mult(mult(a, a), mult(b, c)) = mult(a, mult(a, mult(b, c))))) | (~(mult(mult(a, mult(a, b)), c) = mult(a, mult(mult(a, b), c))))),
% 5.50/5.70 inference(unit_resolution,[status(thm)],[10462, 8959])).
% 5.50/5.70 tff(10464,plain,
% 5.50/5.70 (mult(mult(mult(a, a), c), b) = mult(mult(a, a), mult(c, b))),
% 5.50/5.70 inference(unit_resolution,[status(thm)],[10463, 1154, 8996])).
% 5.50/5.70 tff(10465,plain,
% 5.50/5.70 (mult(mult(mult(a, a), c), b) = mult(mult(a, mult(a, c)), b)),
% 5.50/5.70 inference(transitivity,[status(thm)],[789, 911, 798, 939])).
% 5.50/5.70 tff(10466,plain,
% 5.50/5.70 (rd(mult(mult(mult(a, a), c), b), b) = rd(mult(mult(a, mult(a, c)), b), b)),
% 5.50/5.70 inference(monotonicity,[status(thm)],[10465])).
% 5.50/5.70 tff(10467,plain,
% 5.50/5.70 (mult(mult(a, a), c) = mult(a, mult(a, c))),
% 5.50/5.70 inference(transitivity,[status(thm)],[5380, 10466, 908])).
% 5.50/5.70 tff(10468,plain,
% 5.50/5.70 (mult(mult(mult(a, a), c), a) = mult(mult(a, mult(a, c)), a)),
% 5.50/5.70 inference(monotonicity,[status(thm)],[10467])).
% 5.50/5.70 tff(10469,plain,
% 5.50/5.70 (mult(mult(a, mult(a, c)), a) = mult(mult(mult(a, a), c), a)),
% 5.50/5.70 inference(symmetry,[status(thm)],[10468])).
% 5.50/5.70 tff(10470,plain,
% 5.50/5.70 (mult(mult(a, mult(a, c)), a) = mult(a, mult(mult(a, c), a))),
% 5.50/5.70 inference(transitivity,[status(thm)],[10469, 1658])).
% 5.50/5.70 tff(10471,plain,
% 5.50/5.70 ($false),
% 5.50/5.70 inference(unit_resolution,[status(thm)],[1642, 10470])).
% 5.50/5.70 tff(10472,plain,((~(mult(mult(mult(a, a), c), b) = mult(mult(a, a), mult(c, b)))) | (mult(mult(a, mult(a, c)), a) = mult(a, mult(mult(a, c), a))) | (~(mult(mult(a, mult(a, c)), b) = mult(a, mult(mult(a, c), b)))) | (~(mult(mult(a, a), mult(c, b)) = mult(a, mult(a, mult(c, b))))) | (~(mult(mult(a, c), b) = mult(a, mult(c, b))))), inference(lemma,lemma(discharge,[]))).
% 5.50/5.70 tff(10473,plain,
% 5.50/5.70 ((~(mult(mult(mult(a, a), c), b) = mult(mult(a, a), mult(c, b)))) | (mult(mult(a, mult(a, c)), a) = mult(a, mult(mult(a, c), a))) | (~(mult(mult(a, mult(a, c)), b) = mult(a, mult(mult(a, c), b))))),
% 5.50/5.71 inference(unit_resolution,[status(thm)],[10472, 8185, 8955])).
% 5.50/5.71 tff(10474,plain,
% 5.50/5.71 (mult(mult(a, mult(a, c)), a) = mult(a, mult(mult(a, c), a))),
% 5.50/5.71 inference(unit_resolution,[status(thm)],[10473, 10464, 10454])).
% 5.50/5.71 tff(10475,plain,
% 5.50/5.71 (mult(mult(mult(a, a), c), b) = mult(mult(a, a), mult(b, c))),
% 5.50/5.71 inference(unit_resolution,[status(thm)],[1012, 2838])).
% 5.50/5.71 tff(10476,plain,
% 5.50/5.71 (mult(mult(a, a), mult(b, c)) = mult(mult(mult(a, a), c), b)),
% 5.50/5.71 inference(symmetry,[status(thm)],[10475])).
% 5.50/5.71 tff(10477,plain,
% 5.50/5.71 (mult(mult(a, a), mult(b, c)) = mult(mult(a, a), mult(c, b))),
% 5.50/5.71 inference(transitivity,[status(thm)],[10476, 3010, 914, 1804, 912])).
% 5.50/5.71 tff(10478,plain,
% 5.50/5.71 ((mult(mult(mult(a, a), b), c) = mult(mult(a, a), mult(b, c))) <=> (mult(mult(mult(a, a), b), c) = mult(mult(a, a), mult(c, b)))),
% 5.50/5.71 inference(monotonicity,[status(thm)],[10477])).
% 5.50/5.71 tff(10479,plain,
% 5.50/5.71 ((mult(mult(mult(a, a), b), c) = mult(mult(a, a), mult(c, b))) <=> (mult(mult(mult(a, a), b), c) = mult(mult(a, a), mult(b, c)))),
% 5.50/5.71 inference(symmetry,[status(thm)],[10478])).
% 5.50/5.71 tff(10480,plain,
% 5.50/5.71 (mult(mult(mult(a, a), b), c) = mult(mult(a, a), mult(b, c))),
% 5.50/5.71 inference(modus_ponens,[status(thm)],[2839, 10479])).
% 5.50/5.71 tff(10481,plain,
% 5.50/5.71 ($false),
% 5.50/5.71 inference(unit_resolution,[status(thm)],[2836, 10480])).
% 5.50/5.71 tff(10482,plain,((mult(mult(mult(a, a), b), c) = mult(mult(a, a), mult(b, c))) | (~(mult(mult(a, mult(a, c)), b) = mult(a, mult(mult(a, c), b)))) | (~(mult(mult(a, a), mult(c, b)) = mult(a, mult(a, mult(c, b))))) | (~(mult(mult(a, c), b) = mult(a, mult(c, b)))) | (~(mult(mult(a, mult(a, c)), a) = mult(a, mult(mult(a, c), a))))), inference(lemma,lemma(discharge,[]))).
% 5.50/5.71 tff(10483,plain,
% 5.50/5.71 ((mult(mult(mult(a, a), b), c) = mult(mult(a, a), mult(b, c))) | (~(mult(mult(a, mult(a, c)), b) = mult(a, mult(mult(a, c), b)))) | (~(mult(mult(a, mult(a, c)), a) = mult(a, mult(mult(a, c), a))))),
% 5.50/5.71 inference(unit_resolution,[status(thm)],[10482, 8185, 8955])).
% 5.50/5.71 tff(10484,plain,
% 5.50/5.71 (mult(mult(mult(a, a), b), c) = mult(mult(a, a), mult(b, c))),
% 5.50/5.71 inference(unit_resolution,[status(thm)],[10483, 10474, 10454])).
% 5.50/5.71 tff(10485,plain,
% 5.50/5.71 ((~![B: $i, A: $i] : (rd(mult(A, B), B) = A)) | (rd(mult(mult(a, mult(mult(a, b), c)), a), a) = mult(a, mult(mult(a, b), c)))),
% 5.50/5.71 inference(quant_inst,[status(thm)],[])).
% 5.50/5.71 tff(10486,plain,
% 5.50/5.71 (rd(mult(mult(a, mult(mult(a, b), c)), a), a) = mult(a, mult(mult(a, b), c))),
% 5.50/5.71 inference(unit_resolution,[status(thm)],[10485, 72])).
% 5.50/5.71 tff(10487,plain,
% 5.50/5.71 (mult(a, mult(mult(a, b), c)) = mult(mult(mult(a, a), b), c)),
% 5.50/5.71 inference(transitivity,[status(thm)],[2576, 1194, 2901])).
% 5.50/5.71 tff(10488,plain,
% 5.50/5.71 (mult(mult(a, mult(mult(a, b), c)), a) = mult(mult(mult(mult(a, a), b), c), a)),
% 5.50/5.71 inference(monotonicity,[status(thm)],[10487])).
% 5.50/5.71 tff(10489,plain,
% 5.50/5.71 (mult(mult(mult(mult(a, a), b), c), a) = mult(mult(a, mult(mult(a, b), c)), a)),
% 5.50/5.71 inference(symmetry,[status(thm)],[10488])).
% 5.50/5.71 tff(10490,plain,
% 5.50/5.71 (mult(mult(mult(mult(a, a), b), c), a) = mult(mult(mult(a, a), mult(b, c)), a)),
% 5.50/5.71 inference(monotonicity,[status(thm)],[2629])).
% 5.50/5.71 tff(10491,plain,
% 5.50/5.71 (mult(mult(mult(a, a), mult(b, c)), a) = mult(mult(mult(mult(a, a), b), c), a)),
% 5.50/5.71 inference(symmetry,[status(thm)],[10490])).
% 5.50/5.71 tff(10492,plain,
% 5.50/5.71 (mult(a, mult(mult(b, c), a)) = mult(mult(a, mult(b, c)), a)),
% 5.50/5.71 inference(symmetry,[status(thm)],[10438])).
% 5.50/5.71 tff(10493,plain,
% 5.50/5.71 (mult(a, mult(a, mult(mult(b, c), a))) = mult(a, mult(mult(a, mult(b, c)), a))),
% 5.50/5.71 inference(monotonicity,[status(thm)],[10492])).
% 5.50/5.71 tff(10494,assumption,(~(mult(mult(a, mult(mult(b, c), a)), a) = mult(a, mult(mult(mult(b, c), a), a)))), introduced(assumption)).
% 5.50/5.71 tff(10495,plain,
% 5.50/5.71 (((~(mult(mult(a, a), mult(mult(b, c), a)) = mult(a, mult(a, mult(mult(b, c), a))))) | (~(mult(mult(a, mult(mult(b, c), a)), a) = mult(a, mult(mult(mult(b, c), a), a))))) | (mult(mult(a, mult(mult(b, c), a)), a) = mult(a, mult(mult(mult(b, c), a), a)))),
% 5.50/5.71 inference(tautology,[status(thm)],[])).
% 5.50/5.71 tff(10496,plain,
% 5.50/5.71 ((~(mult(mult(a, a), mult(mult(b, c), a)) = mult(a, mult(a, mult(mult(b, c), a))))) | (~(mult(mult(a, mult(mult(b, c), a)), a) = mult(a, mult(mult(mult(b, c), a), a))))),
% 5.50/5.71 inference(unit_resolution,[status(thm)],[10495, 10494])).
% 5.50/5.71 tff(10497,plain,
% 5.50/5.71 (((~(mult(mult(a, a), mult(mult(b, c), a)) = mult(a, mult(mult(mult(b, c), a), a)))) | (~(mult(mult(a, mult(mult(b, c), a)), a) = mult(a, mult(a, mult(mult(b, c), a)))))) | (mult(mult(a, mult(mult(b, c), a)), a) = mult(a, mult(a, mult(mult(b, c), a))))),
% 5.50/5.71 inference(tautology,[status(thm)],[])).
% 5.50/5.71 tff(10498,plain,
% 5.50/5.71 ((~(mult(mult(a, a), mult(mult(b, c), a)) = mult(a, mult(mult(mult(b, c), a), a)))) | (~(mult(mult(a, mult(mult(b, c), a)), a) = mult(a, mult(a, mult(mult(b, c), a)))))),
% 5.50/5.71 inference(unit_resolution,[status(thm)],[10497, 5910])).
% 5.50/5.71 tff(10499,assumption,((~(mult(mult(a, a), mult(mult(b, c), a)) = mult(a, mult(a, mult(mult(b, c), a))))) | (~(mult(mult(a, mult(mult(b, c), a)), a) = mult(a, mult(mult(mult(b, c), a), a))))), introduced(assumption)).
% 5.50/5.71 tff(10500,plain,
% 5.50/5.71 (((~![X0: $i, X1: $i, X2: $i] : ((~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X2, X1)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X1, X2)))))) | (~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X1, X2)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X2, X1)))))))) | ((~((~(mult(mult(a, a), mult(mult(b, c), a)) = mult(a, mult(a, mult(mult(b, c), a))))) | (~(mult(mult(a, mult(mult(b, c), a)), a) = mult(a, mult(mult(mult(b, c), a), a)))))) | (~((~(mult(mult(a, a), mult(mult(b, c), a)) = mult(a, mult(mult(mult(b, c), a), a)))) | (~(mult(mult(a, mult(mult(b, c), a)), a) = mult(a, mult(a, mult(mult(b, c), a))))))))) <=> ((~![X0: $i, X1: $i, X2: $i] : ((~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X2, X1)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X1, X2)))))) | (~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X1, X2)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X2, X1)))))))) | (~((~(mult(mult(a, a), mult(mult(b, c), a)) = mult(a, mult(a, mult(mult(b, c), a))))) | (~(mult(mult(a, mult(mult(b, c), a)), a) = mult(a, mult(mult(mult(b, c), a), a)))))) | (~((~(mult(mult(a, a), mult(mult(b, c), a)) = mult(a, mult(mult(mult(b, c), a), a)))) | (~(mult(mult(a, mult(mult(b, c), a)), a) = mult(a, mult(a, mult(mult(b, c), a))))))))),
% 5.50/5.71 inference(rewrite,[status(thm)],[])).
% 5.50/5.71 tff(10501,plain,
% 5.50/5.71 (((~((~(mult(mult(a, a), mult(mult(b, c), a)) = mult(a, mult(mult(mult(b, c), a), a)))) | (~(mult(mult(a, mult(mult(b, c), a)), a) = mult(a, mult(a, mult(mult(b, c), a))))))) | (~((~(mult(mult(a, a), mult(mult(b, c), a)) = mult(a, mult(a, mult(mult(b, c), a))))) | (~(mult(mult(a, mult(mult(b, c), a)), a) = mult(a, mult(mult(mult(b, c), a), a))))))) <=> ((~((~(mult(mult(a, a), mult(mult(b, c), a)) = mult(a, mult(a, mult(mult(b, c), a))))) | (~(mult(mult(a, mult(mult(b, c), a)), a) = mult(a, mult(mult(mult(b, c), a), a)))))) | (~((~(mult(mult(a, a), mult(mult(b, c), a)) = mult(a, mult(mult(mult(b, c), a), a)))) | (~(mult(mult(a, mult(mult(b, c), a)), a) = mult(a, mult(a, mult(mult(b, c), a))))))))),
% 5.50/5.71 inference(rewrite,[status(thm)],[])).
% 5.50/5.71 tff(10502,plain,
% 5.50/5.71 ((~((~(mult(mult(a, mult(mult(b, c), a)), a) = mult(a, mult(mult(mult(b, c), a), a)))) | (~(mult(mult(a, a), mult(mult(b, c), a)) = mult(a, mult(a, mult(mult(b, c), a))))))) <=> (~((~(mult(mult(a, a), mult(mult(b, c), a)) = mult(a, mult(a, mult(mult(b, c), a))))) | (~(mult(mult(a, mult(mult(b, c), a)), a) = mult(a, mult(mult(mult(b, c), a), a))))))),
% 5.50/5.71 inference(rewrite,[status(thm)],[])).
% 5.50/5.71 tff(10503,plain,
% 5.50/5.71 ((~((~(mult(mult(a, mult(mult(b, c), a)), a) = mult(a, mult(a, mult(mult(b, c), a))))) | (~(mult(mult(a, a), mult(mult(b, c), a)) = mult(a, mult(mult(mult(b, c), a), a)))))) <=> (~((~(mult(mult(a, a), mult(mult(b, c), a)) = mult(a, mult(mult(mult(b, c), a), a)))) | (~(mult(mult(a, mult(mult(b, c), a)), a) = mult(a, mult(a, mult(mult(b, c), a)))))))),
% 5.50/5.71 inference(rewrite,[status(thm)],[])).
% 5.50/5.71 tff(10504,plain,
% 5.50/5.71 (((~((~(mult(mult(a, mult(mult(b, c), a)), a) = mult(a, mult(a, mult(mult(b, c), a))))) | (~(mult(mult(a, a), mult(mult(b, c), a)) = mult(a, mult(mult(mult(b, c), a), a)))))) | (~((~(mult(mult(a, mult(mult(b, c), a)), a) = mult(a, mult(mult(mult(b, c), a), a)))) | (~(mult(mult(a, a), mult(mult(b, c), a)) = mult(a, mult(a, mult(mult(b, c), a)))))))) <=> ((~((~(mult(mult(a, a), mult(mult(b, c), a)) = mult(a, mult(mult(mult(b, c), a), a)))) | (~(mult(mult(a, mult(mult(b, c), a)), a) = mult(a, mult(a, mult(mult(b, c), a))))))) | (~((~(mult(mult(a, a), mult(mult(b, c), a)) = mult(a, mult(a, mult(mult(b, c), a))))) | (~(mult(mult(a, mult(mult(b, c), a)), a) = mult(a, mult(mult(mult(b, c), a), a)))))))),
% 5.50/5.71 inference(monotonicity,[status(thm)],[10503, 10502])).
% 5.50/5.71 tff(10505,plain,
% 5.50/5.71 (((~((~(mult(mult(a, mult(mult(b, c), a)), a) = mult(a, mult(a, mult(mult(b, c), a))))) | (~(mult(mult(a, a), mult(mult(b, c), a)) = mult(a, mult(mult(mult(b, c), a), a)))))) | (~((~(mult(mult(a, mult(mult(b, c), a)), a) = mult(a, mult(mult(mult(b, c), a), a)))) | (~(mult(mult(a, a), mult(mult(b, c), a)) = mult(a, mult(a, mult(mult(b, c), a)))))))) <=> ((~((~(mult(mult(a, a), mult(mult(b, c), a)) = mult(a, mult(a, mult(mult(b, c), a))))) | (~(mult(mult(a, mult(mult(b, c), a)), a) = mult(a, mult(mult(mult(b, c), a), a)))))) | (~((~(mult(mult(a, a), mult(mult(b, c), a)) = mult(a, mult(mult(mult(b, c), a), a)))) | (~(mult(mult(a, mult(mult(b, c), a)), a) = mult(a, mult(a, mult(mult(b, c), a))))))))),
% 5.50/5.71 inference(transitivity,[status(thm)],[10504, 10501])).
% 5.50/5.71 tff(10506,plain,
% 5.50/5.71 (((~![X0: $i, X1: $i, X2: $i] : ((~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X2, X1)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X1, X2)))))) | (~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X1, X2)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X2, X1)))))))) | ((~((~(mult(mult(a, mult(mult(b, c), a)), a) = mult(a, mult(a, mult(mult(b, c), a))))) | (~(mult(mult(a, a), mult(mult(b, c), a)) = mult(a, mult(mult(mult(b, c), a), a)))))) | (~((~(mult(mult(a, mult(mult(b, c), a)), a) = mult(a, mult(mult(mult(b, c), a), a)))) | (~(mult(mult(a, a), mult(mult(b, c), a)) = mult(a, mult(a, mult(mult(b, c), a))))))))) <=> ((~![X0: $i, X1: $i, X2: $i] : ((~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X2, X1)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X1, X2)))))) | (~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X1, X2)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X2, X1)))))))) | ((~((~(mult(mult(a, a), mult(mult(b, c), a)) = mult(a, mult(a, mult(mult(b, c), a))))) | (~(mult(mult(a, mult(mult(b, c), a)), a) = mult(a, mult(mult(mult(b, c), a), a)))))) | (~((~(mult(mult(a, a), mult(mult(b, c), a)) = mult(a, mult(mult(mult(b, c), a), a)))) | (~(mult(mult(a, mult(mult(b, c), a)), a) = mult(a, mult(a, mult(mult(b, c), a)))))))))),
% 5.50/5.71 inference(monotonicity,[status(thm)],[10505])).
% 5.50/5.71 tff(10507,plain,
% 5.50/5.71 (((~![X0: $i, X1: $i, X2: $i] : ((~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X2, X1)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X1, X2)))))) | (~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X1, X2)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X2, X1)))))))) | ((~((~(mult(mult(a, mult(mult(b, c), a)), a) = mult(a, mult(a, mult(mult(b, c), a))))) | (~(mult(mult(a, a), mult(mult(b, c), a)) = mult(a, mult(mult(mult(b, c), a), a)))))) | (~((~(mult(mult(a, mult(mult(b, c), a)), a) = mult(a, mult(mult(mult(b, c), a), a)))) | (~(mult(mult(a, a), mult(mult(b, c), a)) = mult(a, mult(a, mult(mult(b, c), a))))))))) <=> ((~![X0: $i, X1: $i, X2: $i] : ((~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X2, X1)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X1, X2)))))) | (~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X1, X2)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X2, X1)))))))) | (~((~(mult(mult(a, a), mult(mult(b, c), a)) = mult(a, mult(a, mult(mult(b, c), a))))) | (~(mult(mult(a, mult(mult(b, c), a)), a) = mult(a, mult(mult(mult(b, c), a), a)))))) | (~((~(mult(mult(a, a), mult(mult(b, c), a)) = mult(a, mult(mult(mult(b, c), a), a)))) | (~(mult(mult(a, mult(mult(b, c), a)), a) = mult(a, mult(a, mult(mult(b, c), a))))))))),
% 5.50/5.71 inference(transitivity,[status(thm)],[10506, 10500])).
% 5.50/5.71 tff(10508,plain,
% 5.50/5.71 ((~![X0: $i, X1: $i, X2: $i] : ((~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X2, X1)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X1, X2)))))) | (~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X1, X2)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X2, X1)))))))) | ((~((~(mult(mult(a, mult(mult(b, c), a)), a) = mult(a, mult(a, mult(mult(b, c), a))))) | (~(mult(mult(a, a), mult(mult(b, c), a)) = mult(a, mult(mult(mult(b, c), a), a)))))) | (~((~(mult(mult(a, mult(mult(b, c), a)), a) = mult(a, mult(mult(mult(b, c), a), a)))) | (~(mult(mult(a, a), mult(mult(b, c), a)) = mult(a, mult(a, mult(mult(b, c), a))))))))),
% 5.50/5.71 inference(quant_inst,[status(thm)],[])).
% 5.50/5.71 tff(10509,plain,
% 5.50/5.71 ((~![X0: $i, X1: $i, X2: $i] : ((~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X2, X1)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X1, X2)))))) | (~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X1, X2)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X2, X1)))))))) | (~((~(mult(mult(a, a), mult(mult(b, c), a)) = mult(a, mult(a, mult(mult(b, c), a))))) | (~(mult(mult(a, mult(mult(b, c), a)), a) = mult(a, mult(mult(mult(b, c), a), a)))))) | (~((~(mult(mult(a, a), mult(mult(b, c), a)) = mult(a, mult(mult(mult(b, c), a), a)))) | (~(mult(mult(a, mult(mult(b, c), a)), a) = mult(a, mult(a, mult(mult(b, c), a)))))))),
% 5.50/5.71 inference(modus_ponens,[status(thm)],[10508, 10507])).
% 5.50/5.71 tff(10510,plain,
% 5.50/5.71 ($false),
% 5.50/5.71 inference(unit_resolution,[status(thm)],[10509, 30, 10499, 10498])).
% 5.50/5.71 tff(10511,plain,((~((~(mult(mult(a, a), mult(mult(b, c), a)) = mult(a, mult(a, mult(mult(b, c), a))))) | (~(mult(mult(a, mult(mult(b, c), a)), a) = mult(a, mult(mult(mult(b, c), a), a)))))) | (mult(mult(a, mult(mult(b, c), a)), a) = mult(a, mult(a, mult(mult(b, c), a))))), inference(lemma,lemma(discharge,[]))).
% 5.50/5.71 tff(10512,plain,
% 5.50/5.71 (mult(mult(a, mult(mult(b, c), a)), a) = mult(a, mult(a, mult(mult(b, c), a)))),
% 5.50/5.71 inference(unit_resolution,[status(thm)],[10511, 10496])).
% 5.50/5.71 tff(10513,plain,
% 5.50/5.71 (mult(mult(a, mult(mult(b, c), a)), a) = mult(mult(a, mult(mult(a, b), c)), a)),
% 5.50/5.71 inference(transitivity,[status(thm)],[10512, 10493, 5637, 10491, 10489])).
% 5.50/5.71 tff(10514,plain,
% 5.50/5.71 (rd(mult(mult(a, mult(mult(b, c), a)), a), a) = rd(mult(mult(a, mult(mult(a, b), c)), a), a)),
% 5.50/5.71 inference(monotonicity,[status(thm)],[10513])).
% 5.50/5.71 tff(10515,plain,
% 5.50/5.71 ((~![B: $i, A: $i] : (rd(mult(A, B), B) = A)) | (rd(mult(mult(a, mult(mult(b, c), a)), a), a) = mult(a, mult(mult(b, c), a)))),
% 5.50/5.71 inference(quant_inst,[status(thm)],[])).
% 5.50/5.71 tff(10516,plain,
% 5.50/5.71 (rd(mult(mult(a, mult(mult(b, c), a)), a), a) = mult(a, mult(mult(b, c), a))),
% 5.50/5.71 inference(unit_resolution,[status(thm)],[10515, 72])).
% 5.50/5.71 tff(10517,plain,
% 5.50/5.71 (mult(a, mult(mult(b, c), a)) = rd(mult(mult(a, mult(mult(b, c), a)), a), a)),
% 5.50/5.71 inference(symmetry,[status(thm)],[10516])).
% 5.50/5.71 tff(10518,plain,
% 5.50/5.71 (mult(a, mult(mult(b, c), a)) = mult(a, mult(mult(a, b), c))),
% 5.50/5.71 inference(transitivity,[status(thm)],[10517, 10514, 10486])).
% 5.50/5.71 tff(10519,plain,
% 5.50/5.71 (ld(a, mult(a, mult(mult(b, c), a))) = ld(a, mult(a, mult(mult(a, b), c)))),
% 5.50/5.71 inference(monotonicity,[status(thm)],[10518])).
% 5.50/5.71 tff(10520,plain,
% 5.50/5.71 (mult(mult(b, c), a) = mult(mult(a, b), c)),
% 5.50/5.71 inference(transitivity,[status(thm)],[5314, 10519, 114])).
% 5.50/5.71 tff(10521,plain,
% 5.50/5.71 (mult(mult(a, a), mult(mult(b, c), a)) = mult(mult(a, a), mult(mult(a, b), c))),
% 5.50/5.71 inference(monotonicity,[status(thm)],[10520])).
% 5.50/5.71 tff(10522,plain,
% 5.50/5.71 (mult(mult(a, a), mult(mult(a, b), c)) = mult(mult(a, a), mult(mult(b, c), a))),
% 5.50/5.71 inference(symmetry,[status(thm)],[10521])).
% 5.50/5.71 tff(10523,plain,
% 5.50/5.71 (mult(mult(a, a), mult(a, mult(b, c))) = mult(mult(a, a), mult(mult(a, b), c))),
% 5.50/5.71 inference(monotonicity,[status(thm)],[777])).
% 5.50/5.71 tff(10524,plain,
% 5.50/5.71 (mult(a, mult(a, mult(mult(b, c), a))) = mult(mult(a, mult(mult(b, c), a)), a)),
% 5.50/5.71 inference(symmetry,[status(thm)],[10512])).
% 5.50/5.71 tff(10525,plain,
% 5.50/5.71 (mult(a, mult(mult(a, mult(b, c)), a)) = mult(a, mult(a, mult(mult(b, c), a)))),
% 5.50/5.71 inference(symmetry,[status(thm)],[5638])).
% 5.50/5.71 tff(10526,assumption,(mult(mult(mult(a, a), mult(b, c)), a) = mult(mult(a, a), mult(mult(b, c), a))), introduced(assumption)).
% 5.50/5.71 tff(10527,plain,
% 5.50/5.71 (mult(mult(a, a), mult(mult(b, c), a)) = mult(mult(mult(a, a), mult(b, c)), a)),
% 5.50/5.72 inference(symmetry,[status(thm)],[10526])).
% 5.50/5.72 tff(10528,plain,
% 5.50/5.72 (mult(mult(a, a), mult(mult(b, c), a)) = mult(mult(a, mult(mult(b, c), a)), a)),
% 5.50/5.72 inference(transitivity,[status(thm)],[10527, 5500, 10525, 10524])).
% 5.50/5.72 tff(10529,plain,
% 5.50/5.72 ((mult(mult(a, a), mult(mult(b, c), a)) = mult(a, mult(mult(mult(b, c), a), a))) <=> (mult(mult(a, mult(mult(b, c), a)), a) = mult(a, mult(mult(mult(b, c), a), a)))),
% 5.50/5.72 inference(monotonicity,[status(thm)],[10528])).
% 5.50/5.72 tff(10530,plain,
% 5.50/5.72 ((mult(mult(a, mult(mult(b, c), a)), a) = mult(a, mult(mult(mult(b, c), a), a))) <=> (mult(mult(a, a), mult(mult(b, c), a)) = mult(a, mult(mult(mult(b, c), a), a)))),
% 5.50/5.72 inference(symmetry,[status(thm)],[10529])).
% 5.50/5.72 tff(10531,plain,
% 5.50/5.72 ((~(mult(mult(a, mult(mult(b, c), a)), a) = mult(a, mult(mult(mult(b, c), a), a)))) <=> (~(mult(mult(a, a), mult(mult(b, c), a)) = mult(a, mult(mult(mult(b, c), a), a))))),
% 5.50/5.72 inference(monotonicity,[status(thm)],[10530])).
% 5.50/5.72 tff(10532,plain,
% 5.50/5.72 (~(mult(mult(a, a), mult(mult(b, c), a)) = mult(a, mult(mult(mult(b, c), a), a)))),
% 5.50/5.72 inference(modus_ponens,[status(thm)],[10494, 10531])).
% 5.50/5.72 tff(10533,plain,
% 5.50/5.72 (((~![X0: $i, X1: $i, X2: $i] : ((~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X2, X1)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X1, X2)))))) | (~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X1, X2)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X2, X1)))))))) | ((~((~(mult(mult(a, a), mult(mult(b, c), a)) = mult(a, mult(mult(mult(b, c), a), a)))) | (~(mult(mult(a, mult(mult(b, c), a)), a) = mult(a, mult(a, mult(mult(b, c), a))))))) | (~((~(mult(mult(a, a), mult(mult(b, c), a)) = mult(a, mult(a, mult(mult(b, c), a))))) | (~(mult(mult(a, mult(mult(b, c), a)), a) = mult(a, mult(mult(mult(b, c), a), a)))))))) <=> ((~![X0: $i, X1: $i, X2: $i] : ((~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X2, X1)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X1, X2)))))) | (~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X1, X2)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X2, X1)))))))) | ((~((~(mult(mult(a, a), mult(mult(b, c), a)) = mult(a, mult(a, mult(mult(b, c), a))))) | (~(mult(mult(a, mult(mult(b, c), a)), a) = mult(a, mult(mult(mult(b, c), a), a)))))) | (~((~(mult(mult(a, a), mult(mult(b, c), a)) = mult(a, mult(mult(mult(b, c), a), a)))) | (~(mult(mult(a, mult(mult(b, c), a)), a) = mult(a, mult(a, mult(mult(b, c), a)))))))))),
% 5.50/5.72 inference(monotonicity,[status(thm)],[10501])).
% 5.50/5.72 tff(10534,plain,
% 5.50/5.72 (((~![X0: $i, X1: $i, X2: $i] : ((~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X2, X1)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X1, X2)))))) | (~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X1, X2)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X2, X1)))))))) | ((~((~(mult(mult(a, a), mult(mult(b, c), a)) = mult(a, mult(mult(mult(b, c), a), a)))) | (~(mult(mult(a, mult(mult(b, c), a)), a) = mult(a, mult(a, mult(mult(b, c), a))))))) | (~((~(mult(mult(a, a), mult(mult(b, c), a)) = mult(a, mult(a, mult(mult(b, c), a))))) | (~(mult(mult(a, mult(mult(b, c), a)), a) = mult(a, mult(mult(mult(b, c), a), a)))))))) <=> ((~![X0: $i, X1: $i, X2: $i] : ((~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X2, X1)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X1, X2)))))) | (~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X1, X2)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X2, X1)))))))) | (~((~(mult(mult(a, a), mult(mult(b, c), a)) = mult(a, mult(a, mult(mult(b, c), a))))) | (~(mult(mult(a, mult(mult(b, c), a)), a) = mult(a, mult(mult(mult(b, c), a), a)))))) | (~((~(mult(mult(a, a), mult(mult(b, c), a)) = mult(a, mult(mult(mult(b, c), a), a)))) | (~(mult(mult(a, mult(mult(b, c), a)), a) = mult(a, mult(a, mult(mult(b, c), a))))))))),
% 5.50/5.72 inference(transitivity,[status(thm)],[10533, 10500])).
% 5.50/5.72 tff(10535,plain,
% 5.50/5.72 ((~![X0: $i, X1: $i, X2: $i] : ((~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X2, X1)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X1, X2)))))) | (~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X1, X2)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X2, X1)))))))) | ((~((~(mult(mult(a, a), mult(mult(b, c), a)) = mult(a, mult(mult(mult(b, c), a), a)))) | (~(mult(mult(a, mult(mult(b, c), a)), a) = mult(a, mult(a, mult(mult(b, c), a))))))) | (~((~(mult(mult(a, a), mult(mult(b, c), a)) = mult(a, mult(a, mult(mult(b, c), a))))) | (~(mult(mult(a, mult(mult(b, c), a)), a) = mult(a, mult(mult(mult(b, c), a), a)))))))),
% 5.50/5.72 inference(quant_inst,[status(thm)],[])).
% 5.50/5.72 tff(10536,plain,
% 5.50/5.72 ((~![X0: $i, X1: $i, X2: $i] : ((~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X2, X1)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X1, X2)))))) | (~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X1, X2)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X2, X1)))))))) | (~((~(mult(mult(a, a), mult(mult(b, c), a)) = mult(a, mult(a, mult(mult(b, c), a))))) | (~(mult(mult(a, mult(mult(b, c), a)), a) = mult(a, mult(mult(mult(b, c), a), a)))))) | (~((~(mult(mult(a, a), mult(mult(b, c), a)) = mult(a, mult(mult(mult(b, c), a), a)))) | (~(mult(mult(a, mult(mult(b, c), a)), a) = mult(a, mult(a, mult(mult(b, c), a)))))))),
% 5.50/5.72 inference(modus_ponens,[status(thm)],[10535, 10534])).
% 5.50/5.72 tff(10537,plain,
% 5.50/5.72 ((~((~(mult(mult(a, a), mult(mult(b, c), a)) = mult(a, mult(a, mult(mult(b, c), a))))) | (~(mult(mult(a, mult(mult(b, c), a)), a) = mult(a, mult(mult(mult(b, c), a), a)))))) | (~((~(mult(mult(a, a), mult(mult(b, c), a)) = mult(a, mult(mult(mult(b, c), a), a)))) | (~(mult(mult(a, mult(mult(b, c), a)), a) = mult(a, mult(a, mult(mult(b, c), a)))))))),
% 5.50/5.72 inference(unit_resolution,[status(thm)],[10536, 30])).
% 5.50/5.72 tff(10538,plain,
% 5.50/5.72 (~((~(mult(mult(a, a), mult(mult(b, c), a)) = mult(a, mult(mult(mult(b, c), a), a)))) | (~(mult(mult(a, mult(mult(b, c), a)), a) = mult(a, mult(a, mult(mult(b, c), a))))))),
% 5.50/5.72 inference(unit_resolution,[status(thm)],[10537, 10496])).
% 5.50/5.72 tff(10539,plain,
% 5.50/5.72 (((~(mult(mult(a, a), mult(mult(b, c), a)) = mult(a, mult(mult(mult(b, c), a), a)))) | (~(mult(mult(a, mult(mult(b, c), a)), a) = mult(a, mult(a, mult(mult(b, c), a)))))) | (mult(mult(a, a), mult(mult(b, c), a)) = mult(a, mult(mult(mult(b, c), a), a)))),
% 5.50/5.72 inference(tautology,[status(thm)],[])).
% 5.50/5.72 tff(10540,plain,
% 5.50/5.72 (mult(mult(a, a), mult(mult(b, c), a)) = mult(a, mult(mult(mult(b, c), a), a))),
% 5.50/5.72 inference(unit_resolution,[status(thm)],[10539, 10538])).
% 5.50/5.72 tff(10541,plain,
% 5.50/5.72 ($false),
% 5.50/5.72 inference(unit_resolution,[status(thm)],[10540, 10532])).
% 5.50/5.72 tff(10542,plain,((mult(mult(a, mult(mult(b, c), a)), a) = mult(a, mult(mult(mult(b, c), a), a))) | (~(mult(mult(mult(a, a), mult(b, c)), a) = mult(mult(a, a), mult(mult(b, c), a)))) | (~(mult(mult(a, mult(b, c)), a) = mult(a, mult(mult(b, c), a))))), inference(lemma,lemma(discharge,[]))).
% 5.50/5.72 tff(10543,plain,
% 5.50/5.72 (~(mult(mult(mult(a, a), mult(b, c)), a) = mult(mult(a, a), mult(mult(b, c), a)))),
% 5.50/5.72 inference(unit_resolution,[status(thm)],[10542, 10494, 10438])).
% 5.50/5.72 tff(10544,plain,
% 5.50/5.72 (((~(mult(mult(mult(a, a), a), mult(b, c)) = mult(mult(a, a), mult(a, mult(b, c))))) | (~(mult(mult(mult(a, a), mult(b, c)), a) = mult(mult(a, a), mult(mult(b, c), a))))) | (mult(mult(mult(a, a), mult(b, c)), a) = mult(mult(a, a), mult(mult(b, c), a)))),
% 5.50/5.72 inference(tautology,[status(thm)],[])).
% 5.50/5.72 tff(10545,plain,
% 5.50/5.72 ((~(mult(mult(mult(a, a), a), mult(b, c)) = mult(mult(a, a), mult(a, mult(b, c))))) | (~(mult(mult(mult(a, a), mult(b, c)), a) = mult(mult(a, a), mult(mult(b, c), a))))),
% 5.50/5.72 inference(unit_resolution,[status(thm)],[10544, 10543])).
% 5.50/5.72 tff(10546,plain,
% 5.50/5.72 (((~![X0: $i, X1: $i, X2: $i] : ((~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X2, X1)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X1, X2)))))) | (~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X1, X2)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X2, X1)))))))) | ((~((~(mult(mult(mult(a, a), a), mult(b, c)) = mult(mult(a, a), mult(mult(b, c), a)))) | (~(mult(mult(mult(a, a), mult(b, c)), a) = mult(mult(a, a), mult(a, mult(b, c))))))) | (~((~(mult(mult(mult(a, a), a), mult(b, c)) = mult(mult(a, a), mult(a, mult(b, c))))) | (~(mult(mult(mult(a, a), mult(b, c)), a) = mult(mult(a, a), mult(mult(b, c), a)))))))) <=> ((~![X0: $i, X1: $i, X2: $i] : ((~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X2, X1)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X1, X2)))))) | (~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X1, X2)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X2, X1)))))))) | (~((~(mult(mult(mult(a, a), a), mult(b, c)) = mult(mult(a, a), mult(mult(b, c), a)))) | (~(mult(mult(mult(a, a), mult(b, c)), a) = mult(mult(a, a), mult(a, mult(b, c))))))) | (~((~(mult(mult(mult(a, a), a), mult(b, c)) = mult(mult(a, a), mult(a, mult(b, c))))) | (~(mult(mult(mult(a, a), mult(b, c)), a) = mult(mult(a, a), mult(mult(b, c), a)))))))),
% 5.50/5.72 inference(rewrite,[status(thm)],[])).
% 5.50/5.72 tff(10547,plain,
% 5.50/5.72 ((~![X0: $i, X1: $i, X2: $i] : ((~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X2, X1)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X1, X2)))))) | (~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X1, X2)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X2, X1)))))))) | ((~((~(mult(mult(mult(a, a), a), mult(b, c)) = mult(mult(a, a), mult(mult(b, c), a)))) | (~(mult(mult(mult(a, a), mult(b, c)), a) = mult(mult(a, a), mult(a, mult(b, c))))))) | (~((~(mult(mult(mult(a, a), a), mult(b, c)) = mult(mult(a, a), mult(a, mult(b, c))))) | (~(mult(mult(mult(a, a), mult(b, c)), a) = mult(mult(a, a), mult(mult(b, c), a)))))))),
% 5.50/5.72 inference(quant_inst,[status(thm)],[])).
% 5.50/5.72 tff(10548,plain,
% 5.50/5.72 ((~![X0: $i, X1: $i, X2: $i] : ((~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X2, X1)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X1, X2)))))) | (~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X1, X2)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X2, X1)))))))) | (~((~(mult(mult(mult(a, a), a), mult(b, c)) = mult(mult(a, a), mult(mult(b, c), a)))) | (~(mult(mult(mult(a, a), mult(b, c)), a) = mult(mult(a, a), mult(a, mult(b, c))))))) | (~((~(mult(mult(mult(a, a), a), mult(b, c)) = mult(mult(a, a), mult(a, mult(b, c))))) | (~(mult(mult(mult(a, a), mult(b, c)), a) = mult(mult(a, a), mult(mult(b, c), a))))))),
% 5.50/5.72 inference(modus_ponens,[status(thm)],[10547, 10546])).
% 5.50/5.72 tff(10549,plain,
% 5.50/5.72 ((~((~(mult(mult(mult(a, a), a), mult(b, c)) = mult(mult(a, a), mult(mult(b, c), a)))) | (~(mult(mult(mult(a, a), mult(b, c)), a) = mult(mult(a, a), mult(a, mult(b, c))))))) | (~((~(mult(mult(mult(a, a), a), mult(b, c)) = mult(mult(a, a), mult(a, mult(b, c))))) | (~(mult(mult(mult(a, a), mult(b, c)), a) = mult(mult(a, a), mult(mult(b, c), a))))))),
% 5.50/5.72 inference(unit_resolution,[status(thm)],[10548, 30])).
% 5.50/5.72 tff(10550,plain,
% 5.50/5.72 (~((~(mult(mult(mult(a, a), a), mult(b, c)) = mult(mult(a, a), mult(mult(b, c), a)))) | (~(mult(mult(mult(a, a), mult(b, c)), a) = mult(mult(a, a), mult(a, mult(b, c))))))),
% 5.50/5.72 inference(unit_resolution,[status(thm)],[10549, 10545])).
% 5.50/5.72 tff(10551,plain,
% 5.50/5.72 (((~(mult(mult(mult(a, a), a), mult(b, c)) = mult(mult(a, a), mult(mult(b, c), a)))) | (~(mult(mult(mult(a, a), mult(b, c)), a) = mult(mult(a, a), mult(a, mult(b, c)))))) | (mult(mult(mult(a, a), mult(b, c)), a) = mult(mult(a, a), mult(a, mult(b, c))))),
% 5.50/5.72 inference(tautology,[status(thm)],[])).
% 5.50/5.72 tff(10552,plain,
% 5.50/5.72 (mult(mult(mult(a, a), mult(b, c)), a) = mult(mult(a, a), mult(a, mult(b, c)))),
% 5.50/5.72 inference(unit_resolution,[status(thm)],[10551, 10550])).
% 5.50/5.72 tff(10553,plain,
% 5.50/5.72 (mult(mult(mult(a, a), mult(b, c)), a) = mult(mult(a, a), mult(mult(b, c), a))),
% 5.50/5.72 inference(transitivity,[status(thm)],[10552, 10523, 10522])).
% 5.50/5.72 tff(10554,plain,
% 5.50/5.72 ($false),
% 5.50/5.72 inference(unit_resolution,[status(thm)],[10543, 10553])).
% 5.50/5.72 tff(10555,plain,((mult(mult(a, mult(mult(b, c), a)), a) = mult(a, mult(mult(mult(b, c), a), a))) | (~(mult(mult(a, b), c) = mult(a, mult(b, c)))) | (~(mult(mult(mult(a, a), b), c) = mult(mult(a, a), mult(b, c)))) | (~(mult(mult(a, a), mult(b, c)) = mult(a, mult(a, mult(b, c)))))), inference(lemma,lemma(discharge,[]))).
% 5.50/5.72 tff(10556,plain,
% 5.50/5.72 ((mult(mult(a, mult(mult(b, c), a)), a) = mult(a, mult(mult(mult(b, c), a), a))) | (~(mult(mult(mult(a, a), b), c) = mult(mult(a, a), mult(b, c)))) | (~(mult(mult(a, a), mult(b, c)) = mult(a, mult(a, mult(b, c)))))),
% 5.50/5.72 inference(unit_resolution,[status(thm)],[10555, 8959])).
% 5.50/5.72 tff(10557,plain,
% 5.50/5.72 (mult(mult(a, mult(mult(b, c), a)), a) = mult(a, mult(mult(mult(b, c), a), a))),
% 5.50/5.72 inference(unit_resolution,[status(thm)],[10556, 10484, 1154])).
% 5.50/5.72 tff(10558,plain,
% 5.50/5.72 ((mult(mult(a, a), mult(mult(a, c), b)) = mult(mult(mult(a, a), mult(a, c)), b)) <=> (mult(mult(mult(a, a), mult(a, c)), b) = mult(mult(a, a), mult(mult(a, c), b)))),
% 5.50/5.72 inference(commutativity,[status(thm)],[])).
% 5.50/5.72 tff(10559,plain,
% 5.50/5.72 (mult(mult(mult(a, a), mult(a, c)), b) = mult(mult(a, mult(a, mult(a, c))), b)),
% 5.50/5.72 inference(monotonicity,[status(thm)],[5544])).
% 5.50/5.72 tff(10560,plain,
% 5.50/5.72 (mult(mult(a, mult(a, mult(a, c))), b) = mult(mult(mult(a, a), mult(a, c)), b)),
% 5.50/5.72 inference(symmetry,[status(thm)],[10559])).
% 5.50/5.72 tff(10561,assumption,(mult(mult(a, mult(mult(b, c), a)), a) = mult(a, mult(mult(mult(b, c), a), a))), introduced(assumption)).
% 5.50/5.72 tff(10562,plain,
% 5.50/5.72 (mult(mult(mult(b, c), a), a) = mult(b, mult(a, mult(a, c)))),
% 5.50/5.72 inference(transitivity,[status(thm)],[8406, 5328])).
% 5.50/5.72 tff(10563,plain,
% 5.50/5.72 (mult(a, mult(mult(mult(b, c), a), a)) = mult(a, mult(b, mult(a, mult(a, c))))),
% 5.50/5.72 inference(monotonicity,[status(thm)],[10562])).
% 5.50/5.72 tff(10564,plain,
% 5.50/5.72 (mult(a, mult(b, mult(a, mult(a, c)))) = mult(a, mult(mult(mult(b, c), a), a))),
% 5.50/5.72 inference(symmetry,[status(thm)],[10563])).
% 5.50/5.72 tff(10565,assumption,(mult(mult(a, b), mult(a, mult(a, c))) = mult(a, mult(b, mult(a, mult(a, c))))), introduced(assumption)).
% 5.50/5.72 tff(10566,plain,
% 5.50/5.72 (mult(mult(a, b), mult(a, mult(a, c))) = mult(a, mult(mult(mult(b, c), a), a))),
% 5.50/5.72 inference(transitivity,[status(thm)],[10565, 10564])).
% 5.50/5.72 tff(10567,plain,
% 5.50/5.72 (mult(mult(a, b), mult(a, c)) = mult(a, mult(mult(b, c), a))),
% 5.50/5.72 inference(transitivity,[status(thm)],[403, 2382, 510])).
% 5.50/5.72 tff(10568,plain,
% 5.50/5.72 (mult(mult(mult(a, b), mult(a, c)), a) = mult(mult(a, mult(mult(b, c), a)), a)),
% 5.50/5.72 inference(monotonicity,[status(thm)],[10567])).
% 5.50/5.72 tff(10569,plain,
% 5.50/5.72 ((mult(mult(mult(a, b), mult(a, c)), a) = mult(mult(a, b), mult(a, mult(a, c)))) <=> (mult(mult(a, mult(mult(b, c), a)), a) = mult(a, mult(mult(mult(b, c), a), a)))),
% 5.50/5.72 inference(monotonicity,[status(thm)],[10568, 10566])).
% 5.50/5.72 tff(10570,plain,
% 5.50/5.72 ((mult(mult(a, mult(mult(b, c), a)), a) = mult(a, mult(mult(mult(b, c), a), a))) <=> (mult(mult(mult(a, b), mult(a, c)), a) = mult(mult(a, b), mult(a, mult(a, c))))),
% 5.50/5.72 inference(symmetry,[status(thm)],[10569])).
% 5.50/5.72 tff(10571,plain,
% 5.50/5.72 (mult(mult(mult(a, b), mult(a, c)), a) = mult(mult(a, b), mult(a, mult(a, c)))),
% 5.50/5.72 inference(modus_ponens,[status(thm)],[10561, 10570])).
% 5.50/5.72 tff(10572,plain,
% 5.50/5.72 ($false),
% 5.50/5.72 inference(unit_resolution,[status(thm)],[5546, 10571])).
% 5.50/5.72 tff(10573,plain,((~(mult(mult(a, b), mult(a, mult(a, c))) = mult(a, mult(b, mult(a, mult(a, c)))))) | (mult(mult(mult(a, b), mult(a, c)), a) = mult(mult(a, b), mult(a, mult(a, c)))) | (~(mult(mult(a, mult(mult(b, c), a)), a) = mult(a, mult(mult(mult(b, c), a), a)))) | (~(mult(mult(mult(a, b), c), a) = mult(mult(a, b), mult(a, c)))) | (~(mult(mult(a, mult(b, c)), a) = mult(a, mult(mult(b, c), a)))) | (~(mult(mult(a, b), c) = mult(a, mult(b, c))))), inference(lemma,lemma(discharge,[]))).
% 5.50/5.72 tff(10574,plain,
% 5.50/5.72 (~(mult(mult(a, b), mult(a, mult(a, c))) = mult(a, mult(b, mult(a, mult(a, c)))))),
% 5.50/5.72 inference(unit_resolution,[status(thm)],[10573, 5546, 10561, 168, 510, 59])).
% 5.50/5.72 tff(10575,plain,
% 5.50/5.72 ((~(mult(mult(a, b), mult(a, mult(a, c))) = mult(a, mult(b, mult(a, mult(a, c)))))) | (~(mult(mult(a, mult(a, mult(a, c))), b) = mult(a, mult(mult(a, mult(a, c)), b))))),
% 5.50/5.72 inference(unit_resolution,[status(thm)],[5607, 10574])).
% 5.50/5.72 tff(10576,plain,
% 5.50/5.72 (((~((~(mult(mult(a, b), mult(a, mult(a, c))) = mult(a, mult(mult(a, mult(a, c)), b)))) | (~(mult(mult(a, mult(a, mult(a, c))), b) = mult(a, mult(b, mult(a, mult(a, c)))))))) | (~((~(mult(mult(a, b), mult(a, mult(a, c))) = mult(a, mult(b, mult(a, mult(a, c)))))) | (~(mult(mult(a, mult(a, mult(a, c))), b) = mult(a, mult(mult(a, mult(a, c)), b))))))) <=> ((~((~(mult(mult(a, b), mult(a, mult(a, c))) = mult(a, mult(mult(a, mult(a, c)), b)))) | (~(mult(mult(a, mult(a, mult(a, c))), b) = mult(a, mult(b, mult(a, mult(a, c)))))))) | (~((~(mult(mult(a, b), mult(a, mult(a, c))) = mult(a, mult(b, mult(a, mult(a, c)))))) | (~(mult(mult(a, mult(a, mult(a, c))), b) = mult(a, mult(mult(a, mult(a, c)), b)))))))),
% 5.50/5.73 inference(rewrite,[status(thm)],[])).
% 5.50/5.73 tff(10577,plain,
% 5.50/5.73 ((~((~(mult(mult(a, mult(a, mult(a, c))), b) = mult(a, mult(mult(a, mult(a, c)), b)))) | (~(mult(mult(a, b), mult(a, mult(a, c))) = mult(a, mult(b, mult(a, mult(a, c)))))))) <=> (~((~(mult(mult(a, b), mult(a, mult(a, c))) = mult(a, mult(b, mult(a, mult(a, c)))))) | (~(mult(mult(a, mult(a, mult(a, c))), b) = mult(a, mult(mult(a, mult(a, c)), b))))))),
% 5.50/5.73 inference(rewrite,[status(thm)],[])).
% 5.50/5.73 tff(10578,plain,
% 5.50/5.73 ((~((~(mult(mult(a, mult(a, mult(a, c))), b) = mult(a, mult(b, mult(a, mult(a, c)))))) | (~(mult(mult(a, b), mult(a, mult(a, c))) = mult(a, mult(mult(a, mult(a, c)), b)))))) <=> (~((~(mult(mult(a, b), mult(a, mult(a, c))) = mult(a, mult(mult(a, mult(a, c)), b)))) | (~(mult(mult(a, mult(a, mult(a, c))), b) = mult(a, mult(b, mult(a, mult(a, c))))))))),
% 5.50/5.73 inference(rewrite,[status(thm)],[])).
% 5.50/5.73 tff(10579,plain,
% 5.50/5.73 (((~((~(mult(mult(a, mult(a, mult(a, c))), b) = mult(a, mult(b, mult(a, mult(a, c)))))) | (~(mult(mult(a, b), mult(a, mult(a, c))) = mult(a, mult(mult(a, mult(a, c)), b)))))) | (~((~(mult(mult(a, mult(a, mult(a, c))), b) = mult(a, mult(mult(a, mult(a, c)), b)))) | (~(mult(mult(a, b), mult(a, mult(a, c))) = mult(a, mult(b, mult(a, mult(a, c))))))))) <=> ((~((~(mult(mult(a, b), mult(a, mult(a, c))) = mult(a, mult(mult(a, mult(a, c)), b)))) | (~(mult(mult(a, mult(a, mult(a, c))), b) = mult(a, mult(b, mult(a, mult(a, c)))))))) | (~((~(mult(mult(a, b), mult(a, mult(a, c))) = mult(a, mult(b, mult(a, mult(a, c)))))) | (~(mult(mult(a, mult(a, mult(a, c))), b) = mult(a, mult(mult(a, mult(a, c)), b)))))))),
% 5.50/5.73 inference(monotonicity,[status(thm)],[10578, 10577])).
% 5.50/5.73 tff(10580,plain,
% 5.50/5.73 (((~((~(mult(mult(a, mult(a, mult(a, c))), b) = mult(a, mult(b, mult(a, mult(a, c)))))) | (~(mult(mult(a, b), mult(a, mult(a, c))) = mult(a, mult(mult(a, mult(a, c)), b)))))) | (~((~(mult(mult(a, mult(a, mult(a, c))), b) = mult(a, mult(mult(a, mult(a, c)), b)))) | (~(mult(mult(a, b), mult(a, mult(a, c))) = mult(a, mult(b, mult(a, mult(a, c))))))))) <=> ((~((~(mult(mult(a, b), mult(a, mult(a, c))) = mult(a, mult(mult(a, mult(a, c)), b)))) | (~(mult(mult(a, mult(a, mult(a, c))), b) = mult(a, mult(b, mult(a, mult(a, c)))))))) | (~((~(mult(mult(a, b), mult(a, mult(a, c))) = mult(a, mult(b, mult(a, mult(a, c)))))) | (~(mult(mult(a, mult(a, mult(a, c))), b) = mult(a, mult(mult(a, mult(a, c)), b)))))))),
% 5.50/5.73 inference(transitivity,[status(thm)],[10579, 10576])).
% 5.50/5.73 tff(10581,plain,
% 5.50/5.73 (((~![X0: $i, X1: $i, X2: $i] : ((~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X2, X1)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X1, X2)))))) | (~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X1, X2)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X2, X1)))))))) | ((~((~(mult(mult(a, mult(a, mult(a, c))), b) = mult(a, mult(b, mult(a, mult(a, c)))))) | (~(mult(mult(a, b), mult(a, mult(a, c))) = mult(a, mult(mult(a, mult(a, c)), b)))))) | (~((~(mult(mult(a, mult(a, mult(a, c))), b) = mult(a, mult(mult(a, mult(a, c)), b)))) | (~(mult(mult(a, b), mult(a, mult(a, c))) = mult(a, mult(b, mult(a, mult(a, c)))))))))) <=> ((~![X0: $i, X1: $i, X2: $i] : ((~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X2, X1)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X1, X2)))))) | (~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X1, X2)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X2, X1)))))))) | ((~((~(mult(mult(a, b), mult(a, mult(a, c))) = mult(a, mult(mult(a, mult(a, c)), b)))) | (~(mult(mult(a, mult(a, mult(a, c))), b) = mult(a, mult(b, mult(a, mult(a, c)))))))) | (~((~(mult(mult(a, b), mult(a, mult(a, c))) = mult(a, mult(b, mult(a, mult(a, c)))))) | (~(mult(mult(a, mult(a, mult(a, c))), b) = mult(a, mult(mult(a, mult(a, c)), b))))))))),
% 5.50/5.73 inference(monotonicity,[status(thm)],[10580])).
% 5.50/5.73 tff(10582,plain,
% 5.50/5.73 (((~![X0: $i, X1: $i, X2: $i] : ((~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X2, X1)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X1, X2)))))) | (~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X1, X2)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X2, X1)))))))) | ((~((~(mult(mult(a, mult(a, mult(a, c))), b) = mult(a, mult(b, mult(a, mult(a, c)))))) | (~(mult(mult(a, b), mult(a, mult(a, c))) = mult(a, mult(mult(a, mult(a, c)), b)))))) | (~((~(mult(mult(a, mult(a, mult(a, c))), b) = mult(a, mult(mult(a, mult(a, c)), b)))) | (~(mult(mult(a, b), mult(a, mult(a, c))) = mult(a, mult(b, mult(a, mult(a, c)))))))))) <=> ((~![X0: $i, X1: $i, X2: $i] : ((~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X2, X1)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X1, X2)))))) | (~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X1, X2)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X2, X1)))))))) | (~((~(mult(mult(a, b), mult(a, mult(a, c))) = mult(a, mult(mult(a, mult(a, c)), b)))) | (~(mult(mult(a, mult(a, mult(a, c))), b) = mult(a, mult(b, mult(a, mult(a, c)))))))) | (~((~(mult(mult(a, b), mult(a, mult(a, c))) = mult(a, mult(b, mult(a, mult(a, c)))))) | (~(mult(mult(a, mult(a, mult(a, c))), b) = mult(a, mult(mult(a, mult(a, c)), b)))))))),
% 5.50/5.73 inference(transitivity,[status(thm)],[10581, 5602])).
% 5.50/5.73 tff(10583,plain,
% 5.50/5.73 ((~![X0: $i, X1: $i, X2: $i] : ((~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X2, X1)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X1, X2)))))) | (~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X1, X2)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X2, X1)))))))) | ((~((~(mult(mult(a, mult(a, mult(a, c))), b) = mult(a, mult(b, mult(a, mult(a, c)))))) | (~(mult(mult(a, b), mult(a, mult(a, c))) = mult(a, mult(mult(a, mult(a, c)), b)))))) | (~((~(mult(mult(a, mult(a, mult(a, c))), b) = mult(a, mult(mult(a, mult(a, c)), b)))) | (~(mult(mult(a, b), mult(a, mult(a, c))) = mult(a, mult(b, mult(a, mult(a, c)))))))))),
% 5.50/5.73 inference(quant_inst,[status(thm)],[])).
% 5.50/5.73 tff(10584,plain,
% 5.50/5.73 ((~![X0: $i, X1: $i, X2: $i] : ((~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X2, X1)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X1, X2)))))) | (~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X1, X2)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X2, X1)))))))) | (~((~(mult(mult(a, b), mult(a, mult(a, c))) = mult(a, mult(mult(a, mult(a, c)), b)))) | (~(mult(mult(a, mult(a, mult(a, c))), b) = mult(a, mult(b, mult(a, mult(a, c)))))))) | (~((~(mult(mult(a, b), mult(a, mult(a, c))) = mult(a, mult(b, mult(a, mult(a, c)))))) | (~(mult(mult(a, mult(a, mult(a, c))), b) = mult(a, mult(mult(a, mult(a, c)), b))))))),
% 5.50/5.73 inference(modus_ponens,[status(thm)],[10583, 10582])).
% 5.50/5.73 tff(10585,plain,
% 5.50/5.73 ((~((~(mult(mult(a, b), mult(a, mult(a, c))) = mult(a, mult(mult(a, mult(a, c)), b)))) | (~(mult(mult(a, mult(a, mult(a, c))), b) = mult(a, mult(b, mult(a, mult(a, c)))))))) | (~((~(mult(mult(a, b), mult(a, mult(a, c))) = mult(a, mult(b, mult(a, mult(a, c)))))) | (~(mult(mult(a, mult(a, mult(a, c))), b) = mult(a, mult(mult(a, mult(a, c)), b))))))),
% 5.50/5.73 inference(unit_resolution,[status(thm)],[10584, 30])).
% 5.50/5.73 tff(10586,plain,
% 5.50/5.73 (~((~(mult(mult(a, b), mult(a, mult(a, c))) = mult(a, mult(mult(a, mult(a, c)), b)))) | (~(mult(mult(a, mult(a, mult(a, c))), b) = mult(a, mult(b, mult(a, mult(a, c)))))))),
% 5.50/5.73 inference(unit_resolution,[status(thm)],[10585, 10575])).
% 5.50/5.73 tff(10587,plain,
% 5.50/5.73 (mult(mult(a, mult(a, mult(a, c))), b) = mult(a, mult(b, mult(a, mult(a, c))))),
% 5.50/5.73 inference(unit_resolution,[status(thm)],[5600, 10586])).
% 5.50/5.73 tff(10588,plain,
% 5.50/5.73 (mult(a, mult(b, mult(a, mult(a, c)))) = mult(mult(a, mult(a, mult(a, c))), b)),
% 5.50/5.73 inference(symmetry,[status(thm)],[10587])).
% 5.50/5.73 tff(10589,plain,
% 5.50/5.73 (mult(a, mult(b, mult(a, mult(a, c)))) = mult(mult(mult(a, a), mult(a, c)), b)),
% 5.50/5.73 inference(transitivity,[status(thm)],[10588, 10560])).
% 5.50/5.73 tff(10590,plain,
% 5.50/5.73 (mult(mult(a, a), mult(mult(a, c), b)) = mult(mult(a, a), mult(a, mult(c, b)))),
% 5.50/5.73 inference(monotonicity,[status(thm)],[788])).
% 5.50/5.73 tff(10591,plain,
% 5.50/5.73 (mult(mult(a, a), mult(a, mult(c, b))) = mult(mult(a, a), mult(mult(a, c), b))),
% 5.50/5.73 inference(symmetry,[status(thm)],[10590])).
% 5.50/5.73 tff(10592,assumption,(~(mult(mult(a, a), mult(a, mult(c, b))) = mult(a, mult(a, mult(a, mult(c, b)))))), introduced(assumption)).
% 5.50/5.73 tff(10593,plain,
% 5.50/5.73 ((~(mult(mult(a, a), mult(a, mult(c, b))) = mult(a, mult(a, mult(a, mult(c, b)))))) | (~(mult(mult(a, mult(a, mult(c, b))), a) = mult(a, mult(mult(a, mult(c, b)), a))))),
% 5.50/5.73 inference(unit_resolution,[status(thm)],[5439, 10592])).
% 5.50/5.73 tff(10594,plain,
% 5.50/5.73 (~((~(mult(mult(a, a), mult(a, mult(c, b))) = mult(a, mult(mult(a, mult(c, b)), a)))) | (~(mult(mult(a, mult(a, mult(c, b))), a) = mult(a, mult(a, mult(a, mult(c, b)))))))),
% 5.50/5.73 inference(unit_resolution,[status(thm)],[4743, 10593])).
% 5.50/5.73 tff(10595,plain,
% 5.50/5.73 (mult(mult(a, mult(a, mult(c, b))), a) = mult(a, mult(a, mult(a, mult(c, b))))),
% 5.50/5.73 inference(unit_resolution,[status(thm)],[4731, 10594])).
% 5.50/5.73 tff(10596,plain,
% 5.50/5.73 (mult(a, mult(a, mult(a, mult(c, b)))) = mult(mult(a, mult(a, mult(c, b))), a)),
% 5.50/5.73 inference(symmetry,[status(thm)],[10595])).
% 5.50/5.73 tff(10597,plain,
% 5.50/5.73 (mult(a, mult(a, mult(a, mult(c, b)))) = mult(a, mult(mult(a, mult(c, b)), a))),
% 5.50/5.73 inference(transitivity,[status(thm)],[10596, 5443, 4757])).
% 5.50/5.73 tff(10598,plain,
% 5.50/5.73 ((mult(mult(a, a), mult(a, mult(c, b))) = mult(a, mult(a, mult(a, mult(c, b))))) <=> (mult(mult(a, a), mult(a, mult(c, b))) = mult(a, mult(mult(a, mult(c, b)), a)))),
% 5.50/5.73 inference(monotonicity,[status(thm)],[10597])).
% 5.50/5.73 tff(10599,plain,
% 5.50/5.73 ((mult(mult(a, a), mult(a, mult(c, b))) = mult(a, mult(mult(a, mult(c, b)), a))) <=> (mult(mult(a, a), mult(a, mult(c, b))) = mult(a, mult(a, mult(a, mult(c, b)))))),
% 5.50/5.73 inference(symmetry,[status(thm)],[10598])).
% 5.50/5.73 tff(10600,plain,
% 5.50/5.73 (((~(mult(mult(a, a), mult(a, mult(c, b))) = mult(a, mult(mult(a, mult(c, b)), a)))) | (~(mult(mult(a, mult(a, mult(c, b))), a) = mult(a, mult(a, mult(a, mult(c, b))))))) | (mult(mult(a, a), mult(a, mult(c, b))) = mult(a, mult(mult(a, mult(c, b)), a)))),
% 5.50/5.73 inference(tautology,[status(thm)],[])).
% 5.50/5.73 tff(10601,plain,
% 5.50/5.73 (mult(mult(a, a), mult(a, mult(c, b))) = mult(a, mult(mult(a, mult(c, b)), a))),
% 5.50/5.73 inference(unit_resolution,[status(thm)],[10600, 10594])).
% 5.50/5.73 tff(10602,plain,
% 5.50/5.73 (mult(mult(a, a), mult(a, mult(c, b))) = mult(a, mult(a, mult(a, mult(c, b))))),
% 5.50/5.73 inference(modus_ponens,[status(thm)],[10601, 10599])).
% 5.50/5.73 tff(10603,plain,
% 5.50/5.73 ($false),
% 5.50/5.73 inference(unit_resolution,[status(thm)],[10592, 10602])).
% 5.50/5.73 tff(10604,plain,((mult(mult(a, a), mult(a, mult(c, b))) = mult(a, mult(a, mult(a, mult(c, b))))) | (~(mult(mult(a, a), mult(c, b)) = mult(a, mult(a, mult(c, b)))))), inference(lemma,lemma(discharge,[]))).
% 5.50/5.73 tff(10605,plain,
% 5.50/5.73 (mult(mult(a, a), mult(a, mult(c, b))) = mult(a, mult(a, mult(a, mult(c, b))))),
% 5.50/5.73 inference(unit_resolution,[status(thm)],[10604, 8185])).
% 5.50/5.73 tff(10606,plain,
% 5.50/5.73 (mult(a, mult(a, mult(a, mult(c, b)))) = mult(mult(a, a), mult(a, mult(c, b)))),
% 5.50/5.73 inference(symmetry,[status(thm)],[10605])).
% 5.50/5.73 tff(10607,plain,
% 5.50/5.73 (mult(mult(a, mult(a, c)), b) = mult(a, mult(mult(a, c), b))),
% 5.50/5.73 inference(unit_resolution,[status(thm)],[10452, 168, 59, 510])).
% 5.50/5.73 tff(10608,plain,
% 5.50/5.73 (mult(mult(a, mult(a, c)), b) = mult(a, mult(a, mult(c, b)))),
% 5.50/5.73 inference(transitivity,[status(thm)],[10607, 913])).
% 5.50/5.73 tff(10609,plain,
% 5.50/5.73 (mult(a, mult(mult(a, mult(a, c)), b)) = mult(a, mult(a, mult(a, mult(c, b))))),
% 5.50/5.73 inference(monotonicity,[status(thm)],[10608])).
% 5.50/5.73 tff(10610,plain,
% 5.50/5.73 (mult(mult(a, b), mult(a, mult(a, c))) = mult(a, mult(mult(a, mult(a, c)), b))),
% 5.50/5.73 inference(unit_resolution,[status(thm)],[5675, 10586])).
% 5.50/5.73 tff(10611,plain,
% 5.50/5.73 (mult(mult(a, b), mult(a, mult(a, c))) = mult(mult(a, a), mult(mult(a, c), b))),
% 5.50/5.73 inference(transitivity,[status(thm)],[10610, 10609, 10606, 10591])).
% 5.50/5.73 tff(10612,plain,
% 5.50/5.73 ((mult(mult(a, b), mult(a, mult(a, c))) = mult(a, mult(b, mult(a, mult(a, c))))) <=> (mult(mult(a, a), mult(mult(a, c), b)) = mult(mult(mult(a, a), mult(a, c)), b))),
% 5.50/5.73 inference(monotonicity,[status(thm)],[10611, 10589])).
% 5.50/5.73 tff(10613,plain,
% 5.50/5.73 ((mult(mult(a, b), mult(a, mult(a, c))) = mult(a, mult(b, mult(a, mult(a, c))))) <=> (mult(mult(mult(a, a), mult(a, c)), b) = mult(mult(a, a), mult(mult(a, c), b)))),
% 5.50/5.73 inference(transitivity,[status(thm)],[10612, 10558])).
% 5.50/5.73 tff(10614,plain,
% 5.50/5.73 ((~(mult(mult(a, b), mult(a, mult(a, c))) = mult(a, mult(b, mult(a, mult(a, c)))))) <=> (~(mult(mult(mult(a, a), mult(a, c)), b) = mult(mult(a, a), mult(mult(a, c), b))))),
% 5.50/5.73 inference(monotonicity,[status(thm)],[10613])).
% 5.50/5.73 tff(10615,plain,
% 5.50/5.73 (~(mult(mult(mult(a, a), mult(a, c)), b) = mult(mult(a, a), mult(mult(a, c), b)))),
% 5.50/5.73 inference(modus_ponens,[status(thm)],[10574, 10614])).
% 5.50/5.73 tff(10616,plain,
% 5.50/5.73 ((~(mult(mult(mult(a, a), b), mult(a, c)) = mult(mult(a, a), mult(b, mult(a, c))))) | (~(mult(mult(mult(a, a), mult(a, c)), b) = mult(mult(a, a), mult(mult(a, c), b))))),
% 5.50/5.73 inference(unit_resolution,[status(thm)],[5642, 10615])).
% 5.50/5.73 tff(10617,plain,
% 5.50/5.73 (~((~(mult(mult(mult(a, a), b), mult(a, c)) = mult(mult(a, a), mult(mult(a, c), b)))) | (~(mult(mult(mult(a, a), mult(a, c)), b) = mult(mult(a, a), mult(b, mult(a, c))))))),
% 5.50/5.73 inference(unit_resolution,[status(thm)],[5653, 10616])).
% 5.50/5.73 tff(10618,plain,
% 5.50/5.73 (mult(mult(mult(a, a), b), mult(a, c)) = mult(mult(a, a), mult(mult(a, c), b))),
% 5.50/5.73 inference(unit_resolution,[status(thm)],[5659, 10617])).
% 5.50/5.73 tff(10619,plain,
% 5.50/5.73 (mult(mult(a, a), mult(mult(a, c), b)) = mult(mult(mult(a, a), b), mult(a, c))),
% 5.50/5.73 inference(symmetry,[status(thm)],[10618])).
% 5.50/5.73 tff(10620,plain,
% 5.50/5.73 (~((~(mult(mult(mult(a, b), a), mult(a, c)) = mult(mult(a, b), mult(a, mult(a, c))))) | (~(mult(mult(mult(a, b), mult(a, c)), a) = mult(mult(a, b), mult(mult(a, c), a)))))),
% 5.50/5.73 inference(unit_resolution,[status(thm)],[5554, 30, 5548])).
% 5.50/5.73 tff(10621,plain,
% 5.50/5.73 (mult(mult(mult(a, b), a), mult(a, c)) = mult(mult(a, b), mult(a, mult(a, c)))),
% 5.50/5.73 inference(unit_resolution,[status(thm)],[5557, 10620])).
% 5.50/5.73 tff(10622,plain,
% 5.50/5.73 (mult(mult(mult(a, b), a), mult(a, c)) = mult(mult(mult(a, a), b), mult(a, c))),
% 5.50/5.73 inference(transitivity,[status(thm)],[10621, 10610, 10609, 10606, 10591, 10619])).
% 5.50/5.73 tff(10623,plain,
% 5.50/5.73 (rd(mult(mult(mult(a, b), a), mult(a, c)), mult(a, c)) = rd(mult(mult(mult(a, a), b), mult(a, c)), mult(a, c))),
% 5.50/5.73 inference(monotonicity,[status(thm)],[10622])).
% 5.50/5.73 tff(10624,plain,
% 5.50/5.73 (rd(mult(mult(mult(a, a), b), mult(a, c)), mult(a, c)) = rd(mult(mult(mult(a, b), a), mult(a, c)), mult(a, c))),
% 5.50/5.73 inference(symmetry,[status(thm)],[10623])).
% 5.50/5.73 tff(10625,plain,
% 5.50/5.73 (mult(mult(a, a), b) = rd(mult(mult(mult(a, a), b), mult(a, c)), mult(a, c))),
% 5.50/5.73 inference(symmetry,[status(thm)],[5560])).
% 5.50/5.73 tff(10626,plain,
% 5.50/5.73 (mult(a, mult(a, b)) = mult(a, mult(b, a))),
% 5.50/5.73 inference(transitivity,[status(thm)],[6193, 10625, 10624, 5613, 4193])).
% 5.50/5.73 tff(10627,plain,
% 5.50/5.73 (ld(a, mult(a, mult(a, b))) = ld(a, mult(a, mult(b, a)))),
% 5.50/5.73 inference(monotonicity,[status(thm)],[10626])).
% 5.50/5.73 tff(10628,plain,
% 5.50/5.73 (mult(a, b) = ld(a, mult(a, mult(a, b)))),
% 5.50/5.73 inference(symmetry,[status(thm)],[1429])).
% 5.50/5.73 tff(10629,plain,
% 5.50/5.73 (mult(a, b) = mult(b, a)),
% 5.50/5.73 inference(transitivity,[status(thm)],[10628, 10627, 1444])).
% 5.50/5.73 tff(10630,plain,
% 5.50/5.73 ($false),
% 5.50/5.73 inference(unit_resolution,[status(thm)],[1, 10629])).
% 5.50/5.73 tff(10631,plain,((mult(mult(mult(a, b), mult(a, c)), a) = mult(mult(a, b), mult(a, mult(a, c)))) | (mult(a, b) = mult(b, a)) | (~(mult(mult(a, c), b) = mult(a, mult(c, b)))) | (~(mult(mult(a, a), mult(a, c)) = mult(a, mult(a, mult(a, c))))) | (~(mult(mult(a, mult(mult(b, c), a)), a) = mult(a, mult(mult(mult(b, c), a), a)))) | (~(mult(mult(mult(a, b), c), a) = mult(mult(a, b), mult(a, c)))) | (~(mult(mult(a, mult(b, c)), a) = mult(a, mult(mult(b, c), a)))) | (~(mult(mult(a, b), c) = mult(a, mult(b, c))))), inference(lemma,lemma(discharge,[]))).
% 5.50/5.73 tff(10632,plain,
% 5.50/5.73 ((mult(mult(mult(a, b), mult(a, c)), a) = mult(mult(a, b), mult(a, mult(a, c)))) | (mult(a, b) = mult(b, a)) | (~(mult(mult(a, a), mult(a, c)) = mult(a, mult(a, mult(a, c))))) | (~(mult(mult(a, mult(mult(b, c), a)), a) = mult(a, mult(mult(mult(b, c), a), a)))) | (~(mult(mult(mult(a, b), c), a) = mult(mult(a, b), mult(a, c)))) | (~(mult(mult(a, mult(b, c)), a) = mult(a, mult(mult(b, c), a)))) | (~(mult(mult(a, b), c) = mult(a, mult(b, c))))),
% 5.50/5.73 inference(unit_resolution,[status(thm)],[10631, 8955])).
% 5.50/5.73 tff(10633,plain,
% 5.50/5.73 ((mult(mult(mult(a, b), mult(a, c)), a) = mult(mult(a, b), mult(a, mult(a, c)))) | (mult(a, b) = mult(b, a)) | (~(mult(mult(a, a), mult(a, c)) = mult(a, mult(a, mult(a, c))))) | (~(mult(mult(a, mult(mult(b, c), a)), a) = mult(a, mult(mult(mult(b, c), a), a)))) | (~(mult(mult(mult(a, b), c), a) = mult(mult(a, b), mult(a, c)))) | (~(mult(mult(a, mult(b, c)), a) = mult(a, mult(mult(b, c), a))))),
% 5.50/5.73 inference(unit_resolution,[status(thm)],[10632, 8959])).
% 5.50/5.73 tff(10634,plain,
% 5.50/5.73 (~(mult(mult(a, a), mult(a, c)) = mult(a, mult(a, mult(a, c))))),
% 5.50/5.73 inference(unit_resolution,[status(thm)],[10633, 10557, 1, 5546, 168, 10438])).
% 5.50/5.73 tff(10635,plain,
% 5.50/5.73 ((~(mult(mult(a, a), mult(a, c)) = mult(a, mult(a, mult(a, c))))) | (~(mult(mult(a, mult(a, c)), a) = mult(a, mult(mult(a, c), a))))),
% 5.50/5.73 inference(unit_resolution,[status(thm)],[5385, 10634])).
% 5.50/5.73 tff(10636,plain,
% 5.50/5.73 (~((~(mult(mult(a, a), mult(a, c)) = mult(a, mult(mult(a, c), a)))) | (~(mult(mult(a, mult(a, c)), a) = mult(a, mult(a, mult(a, c))))))),
% 5.50/5.73 inference(unit_resolution,[status(thm)],[1649, 10635])).
% 5.50/5.73 tff(10637,plain,
% 5.50/5.73 (mult(mult(a, mult(a, c)), a) = mult(a, mult(a, mult(a, c)))),
% 5.50/5.73 inference(unit_resolution,[status(thm)],[1651, 10636])).
% 5.50/5.73 tff(10638,plain,
% 5.50/5.73 (mult(a, mult(a, mult(a, c))) = mult(mult(a, mult(a, c)), a)),
% 5.50/5.73 inference(symmetry,[status(thm)],[10637])).
% 5.50/5.73 tff(10639,plain,
% 5.50/5.73 (mult(mult(a, a), mult(a, c)) = mult(a, mult(mult(a, c), a))),
% 5.50/5.73 inference(unit_resolution,[status(thm)],[5397, 10636])).
% 5.50/5.73 tff(10640,plain,
% 5.50/5.73 ((mult(mult(a, a), mult(a, c)) = mult(a, mult(a, mult(a, c)))) <=> (mult(a, mult(mult(a, c), a)) = mult(mult(a, mult(a, c)), a))),
% 5.50/5.73 inference(monotonicity,[status(thm)],[10639, 10638])).
% 5.50/5.73 tff(10641,plain,
% 5.50/5.73 ((mult(mult(a, a), mult(a, c)) = mult(a, mult(a, mult(a, c)))) <=> (mult(mult(a, mult(a, c)), a) = mult(a, mult(mult(a, c), a)))),
% 5.50/5.73 inference(transitivity,[status(thm)],[10640, 10437])).
% 5.50/5.73 tff(10642,plain,
% 5.50/5.73 ((mult(mult(a, mult(a, c)), a) = mult(a, mult(mult(a, c), a))) <=> (mult(mult(a, a), mult(a, c)) = mult(a, mult(a, mult(a, c))))),
% 5.50/5.73 inference(symmetry,[status(thm)],[10641])).
% 5.50/5.73 tff(10643,plain,
% 5.50/5.73 (mult(mult(a, a), mult(a, c)) = mult(a, mult(a, mult(a, c)))),
% 5.50/5.73 inference(modus_ponens,[status(thm)],[10474, 10642])).
% 5.50/5.73 tff(10644,plain,
% 5.50/5.73 ($false),
% 5.50/5.74 inference(unit_resolution,[status(thm)],[10634, 10643])).
% 5.50/5.74 tff(10645,plain,((~(mult(mult(a, a), mult(b, c)) = mult(a, mult(a, mult(b, c))))) | (mult(a, b) = mult(b, a)) | (mult(mult(mult(a, b), mult(a, c)), a) = mult(mult(a, b), mult(a, mult(a, c)))) | (~(mult(mult(mult(a, b), c), a) = mult(mult(a, b), mult(a, c))))), inference(lemma,lemma(discharge,[]))).
% 5.50/5.74 tff(10646,plain,
% 5.50/5.74 (mult(mult(mult(a, b), mult(a, c)), a) = mult(mult(a, b), mult(a, mult(a, c)))),
% 5.50/5.74 inference(unit_resolution,[status(thm)],[10645, 10435, 1, 10408])).
% 5.50/5.74 tff(10647,plain,
% 5.50/5.74 (mult(mult(a, mult(a, c)), b) = mult(a, mult(mult(a, c), b))),
% 5.50/5.74 inference(unit_resolution,[status(thm)],[10453, 10436, 10408])).
% 5.50/5.74 tff(10648,plain,
% 5.50/5.74 (mult(mult(mult(a, a), c), b) = mult(mult(a, a), mult(c, b))),
% 5.50/5.74 inference(unit_resolution,[status(thm)],[10463, 10435, 8996])).
% 5.50/5.74 tff(10649,plain,
% 5.50/5.74 (mult(mult(a, mult(a, c)), a) = mult(a, mult(mult(a, c), a))),
% 5.50/5.74 inference(unit_resolution,[status(thm)],[10473, 10647, 10648])).
% 5.50/5.74 tff(10650,plain,
% 5.50/5.74 (mult(mult(mult(a, a), b), c) = mult(mult(a, a), mult(b, c))),
% 5.50/5.74 inference(unit_resolution,[status(thm)],[10483, 10649, 10647])).
% 5.50/5.74 tff(10651,plain,
% 5.50/5.74 (mult(mult(a, mult(mult(b, c), a)), a) = mult(a, mult(mult(mult(b, c), a), a))),
% 5.50/5.74 inference(unit_resolution,[status(thm)],[10556, 10650, 10435])).
% 5.50/5.74 tff(10652,assumption,(~(mult(mult(a, mult(a, mult(a, c))), b) = mult(a, mult(mult(a, mult(a, c)), b)))), introduced(assumption)).
% 5.50/5.74 tff(10653,plain,
% 5.50/5.74 ((~(mult(mult(a, b), mult(a, mult(a, c))) = mult(a, mult(b, mult(a, mult(a, c)))))) | (~(mult(mult(a, mult(a, mult(a, c))), b) = mult(a, mult(mult(a, mult(a, c)), b))))),
% 5.50/5.74 inference(unit_resolution,[status(thm)],[5672, 10652])).
% 5.50/5.74 tff(10654,plain,
% 5.50/5.74 (~((~(mult(mult(a, b), mult(a, mult(a, c))) = mult(a, mult(mult(a, mult(a, c)), b)))) | (~(mult(mult(a, mult(a, mult(a, c))), b) = mult(a, mult(b, mult(a, mult(a, c)))))))),
% 5.50/5.74 inference(unit_resolution,[status(thm)],[10585, 10653])).
% 5.50/5.74 tff(10655,plain,
% 5.50/5.74 (mult(mult(a, mult(a, mult(a, c))), b) = mult(a, mult(b, mult(a, mult(a, c))))),
% 5.50/5.74 inference(unit_resolution,[status(thm)],[5600, 10654])).
% 5.50/5.74 tff(10656,plain,
% 5.50/5.74 (mult(a, mult(b, mult(a, mult(a, c)))) = mult(mult(a, mult(a, mult(a, c))), b)),
% 5.50/5.74 inference(symmetry,[status(thm)],[10655])).
% 5.50/5.74 tff(10657,plain,
% 5.50/5.74 (mult(b, mult(a, mult(a, c))) = mult(mult(mult(b, c), a), a)),
% 5.50/5.74 inference(transitivity,[status(thm)],[5329, 8428])).
% 5.50/5.74 tff(10658,plain,
% 5.50/5.74 (mult(a, mult(b, mult(a, mult(a, c)))) = mult(a, mult(mult(mult(b, c), a), a))),
% 5.50/5.74 inference(monotonicity,[status(thm)],[10657])).
% 5.50/5.74 tff(10659,plain,
% 5.50/5.74 (mult(a, mult(mult(mult(b, c), a), a)) = mult(a, mult(b, mult(a, mult(a, c))))),
% 5.50/5.74 inference(symmetry,[status(thm)],[10658])).
% 5.50/5.74 tff(10660,plain,
% 5.50/5.74 (mult(mult(a, mult(b, c)), a) = mult(mult(mult(a, b), c), a)),
% 5.50/5.74 inference(monotonicity,[status(thm)],[10419])).
% 5.50/5.74 tff(10661,plain,
% 5.50/5.74 (mult(a, mult(mult(b, c), a)) = mult(mult(mult(a, b), c), a)),
% 5.50/5.74 inference(transitivity,[status(thm)],[1424, 10660])).
% 5.50/5.74 tff(10662,plain,
% 5.50/5.74 (mult(mult(a, mult(mult(b, c), a)), a) = mult(mult(mult(mult(a, b), c), a), a)),
% 5.50/5.74 inference(monotonicity,[status(thm)],[10661])).
% 5.50/5.74 tff(10663,plain,
% 5.50/5.74 (mult(mult(mult(mult(a, b), c), a), a) = mult(mult(a, mult(mult(b, c), a)), a)),
% 5.50/5.74 inference(symmetry,[status(thm)],[10662])).
% 5.50/5.74 tff(10664,plain,
% 5.50/5.74 (mult(mult(a, b), mult(a, mult(a, c))) = mult(mult(a, mult(a, mult(a, c))), b)),
% 5.50/5.74 inference(transitivity,[status(thm)],[6379, 5504, 10663, 10561, 10659, 10656])).
% 5.50/5.74 tff(10665,plain,
% 5.50/5.74 ((mult(mult(a, b), mult(a, mult(a, c))) = mult(a, mult(mult(a, mult(a, c)), b))) <=> (mult(mult(a, mult(a, mult(a, c))), b) = mult(a, mult(mult(a, mult(a, c)), b)))),
% 5.50/5.74 inference(monotonicity,[status(thm)],[10664])).
% 5.50/5.74 tff(10666,plain,
% 5.50/5.74 ((mult(mult(a, mult(a, mult(a, c))), b) = mult(a, mult(mult(a, mult(a, c)), b))) <=> (mult(mult(a, b), mult(a, mult(a, c))) = mult(a, mult(mult(a, mult(a, c)), b)))),
% 5.50/5.74 inference(symmetry,[status(thm)],[10665])).
% 5.50/5.74 tff(10667,plain,
% 5.50/5.74 ((~(mult(mult(a, mult(a, mult(a, c))), b) = mult(a, mult(mult(a, mult(a, c)), b)))) <=> (~(mult(mult(a, b), mult(a, mult(a, c))) = mult(a, mult(mult(a, mult(a, c)), b))))),
% 5.50/5.74 inference(monotonicity,[status(thm)],[10666])).
% 5.50/5.74 tff(10668,plain,
% 5.50/5.74 (~(mult(mult(a, b), mult(a, mult(a, c))) = mult(a, mult(mult(a, mult(a, c)), b)))),
% 5.50/5.74 inference(modus_ponens,[status(thm)],[10652, 10667])).
% 5.50/5.74 tff(10669,plain,
% 5.50/5.74 (mult(mult(a, b), mult(a, mult(a, c))) = mult(a, mult(mult(a, mult(a, c)), b))),
% 5.50/5.74 inference(unit_resolution,[status(thm)],[5675, 10654])).
% 5.50/5.74 tff(10670,plain,
% 5.50/5.74 ($false),
% 5.50/5.74 inference(unit_resolution,[status(thm)],[10669, 10668])).
% 5.50/5.74 tff(10671,plain,((mult(mult(a, mult(a, mult(a, c))), b) = mult(a, mult(mult(a, mult(a, c)), b))) | (~(mult(mult(mult(a, b), mult(a, c)), a) = mult(mult(a, b), mult(a, mult(a, c))))) | (~(mult(mult(a, mult(mult(b, c), a)), a) = mult(a, mult(mult(mult(b, c), a), a)))) | (~(mult(mult(a, mult(b, c)), a) = mult(a, mult(mult(b, c), a)))) | (~(mult(mult(mult(a, b), c), a) = mult(mult(a, b), mult(a, c))))), inference(lemma,lemma(discharge,[]))).
% 5.50/5.74 tff(10672,plain,
% 5.50/5.74 (mult(mult(a, mult(a, mult(a, c))), b) = mult(a, mult(mult(a, mult(a, c)), b))),
% 5.50/5.74 inference(unit_resolution,[status(thm)],[10671, 10651, 10646, 10436, 10408])).
% 5.50/5.74 tff(10673,plain,
% 5.50/5.74 (mult(mult(mult(b, a), b), a) = mult(mult(b, a), mult(b, a))),
% 5.50/5.74 inference(unit_resolution,[status(thm)],[10362, 4647])).
% 5.50/5.74 tff(10674,plain,
% 5.50/5.74 (mult(b, mult(mult(a, b), a)) = mult(mult(b, a), mult(b, a))),
% 5.50/5.74 inference(transitivity,[status(thm)],[10366, 10673])).
% 5.50/5.74 tff(10675,plain,
% 5.50/5.74 (mult(mult(b, a), mult(a, b)) = mult(mult(mult(b, a), a), b)),
% 5.50/5.74 inference(symmetry,[status(thm)],[4649])).
% 5.50/5.74 tff(10676,plain,
% 5.50/5.74 ((mult(mult(b, a), mult(a, b)) = mult(b, mult(mult(a, b), a))) <=> (mult(mult(mult(b, a), a), b) = mult(mult(b, a), mult(b, a)))),
% 5.50/5.74 inference(monotonicity,[status(thm)],[10675, 10674])).
% 5.50/5.74 tff(10677,plain,
% 5.50/5.74 ((mult(mult(mult(b, a), a), b) = mult(mult(b, a), mult(b, a))) <=> (mult(mult(b, a), mult(a, b)) = mult(b, mult(mult(a, b), a)))),
% 5.50/5.74 inference(symmetry,[status(thm)],[10676])).
% 5.50/5.74 tff(10678,plain,
% 5.50/5.74 ((~(mult(mult(mult(b, a), a), b) = mult(mult(b, a), mult(b, a)))) <=> (~(mult(mult(b, a), mult(a, b)) = mult(b, mult(mult(a, b), a))))),
% 5.50/5.74 inference(monotonicity,[status(thm)],[10677])).
% 5.50/5.74 tff(10679,plain,
% 5.50/5.74 (~(mult(mult(b, a), mult(a, b)) = mult(b, mult(mult(a, b), a)))),
% 5.50/5.74 inference(modus_ponens,[status(thm)],[4633, 10678])).
% 5.50/5.74 tff(10680,plain,
% 5.50/5.74 (((~(mult(mult(b, a), mult(a, b)) = mult(b, mult(mult(a, b), a)))) | (~(mult(mult(b, mult(a, b)), a) = mult(b, mult(a, mult(a, b)))))) | (mult(mult(b, a), mult(a, b)) = mult(b, mult(mult(a, b), a)))),
% 5.50/5.74 inference(tautology,[status(thm)],[])).
% 5.50/5.74 tff(10681,plain,
% 5.50/5.74 ((~(mult(mult(b, a), mult(a, b)) = mult(b, mult(mult(a, b), a)))) | (~(mult(mult(b, mult(a, b)), a) = mult(b, mult(a, mult(a, b)))))),
% 5.50/5.74 inference(unit_resolution,[status(thm)],[10680, 10679])).
% 5.50/5.74 tff(10682,plain,
% 5.50/5.74 (((~![X0: $i, X1: $i, X2: $i] : ((~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X2, X1)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X1, X2)))))) | (~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X1, X2)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X2, X1)))))))) | ((~((~(mult(mult(b, a), mult(a, b)) = mult(b, mult(mult(a, b), a)))) | (~(mult(mult(b, mult(a, b)), a) = mult(b, mult(a, mult(a, b))))))) | (~((~(mult(mult(b, a), mult(a, b)) = mult(b, mult(a, mult(a, b))))) | (~(mult(mult(b, mult(a, b)), a) = mult(b, mult(mult(a, b), a)))))))) <=> ((~![X0: $i, X1: $i, X2: $i] : ((~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X2, X1)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X1, X2)))))) | (~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X1, X2)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X2, X1)))))))) | (~((~(mult(mult(b, a), mult(a, b)) = mult(b, mult(mult(a, b), a)))) | (~(mult(mult(b, mult(a, b)), a) = mult(b, mult(a, mult(a, b))))))) | (~((~(mult(mult(b, a), mult(a, b)) = mult(b, mult(a, mult(a, b))))) | (~(mult(mult(b, mult(a, b)), a) = mult(b, mult(mult(a, b), a)))))))),
% 5.50/5.74 inference(rewrite,[status(thm)],[])).
% 5.50/5.74 tff(10683,plain,
% 5.50/5.74 ((~![X0: $i, X1: $i, X2: $i] : ((~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X2, X1)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X1, X2)))))) | (~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X1, X2)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X2, X1)))))))) | ((~((~(mult(mult(b, a), mult(a, b)) = mult(b, mult(mult(a, b), a)))) | (~(mult(mult(b, mult(a, b)), a) = mult(b, mult(a, mult(a, b))))))) | (~((~(mult(mult(b, a), mult(a, b)) = mult(b, mult(a, mult(a, b))))) | (~(mult(mult(b, mult(a, b)), a) = mult(b, mult(mult(a, b), a)))))))),
% 5.50/5.74 inference(quant_inst,[status(thm)],[])).
% 5.50/5.74 tff(10684,plain,
% 5.50/5.74 ((~![X0: $i, X1: $i, X2: $i] : ((~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X2, X1)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X1, X2)))))) | (~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X1, X2)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X2, X1)))))))) | (~((~(mult(mult(b, a), mult(a, b)) = mult(b, mult(mult(a, b), a)))) | (~(mult(mult(b, mult(a, b)), a) = mult(b, mult(a, mult(a, b))))))) | (~((~(mult(mult(b, a), mult(a, b)) = mult(b, mult(a, mult(a, b))))) | (~(mult(mult(b, mult(a, b)), a) = mult(b, mult(mult(a, b), a))))))),
% 5.50/5.74 inference(modus_ponens,[status(thm)],[10683, 10682])).
% 5.50/5.74 tff(10685,plain,
% 5.50/5.74 ((~((~(mult(mult(b, a), mult(a, b)) = mult(b, mult(mult(a, b), a)))) | (~(mult(mult(b, mult(a, b)), a) = mult(b, mult(a, mult(a, b))))))) | (~((~(mult(mult(b, a), mult(a, b)) = mult(b, mult(a, mult(a, b))))) | (~(mult(mult(b, mult(a, b)), a) = mult(b, mult(mult(a, b), a))))))),
% 5.50/5.74 inference(unit_resolution,[status(thm)],[10684, 30])).
% 5.50/5.74 tff(10686,plain,
% 5.50/5.74 (~((~(mult(mult(b, a), mult(a, b)) = mult(b, mult(a, mult(a, b))))) | (~(mult(mult(b, mult(a, b)), a) = mult(b, mult(mult(a, b), a)))))),
% 5.50/5.74 inference(unit_resolution,[status(thm)],[10685, 10681])).
% 5.50/5.74 tff(10687,plain,
% 5.50/5.74 (((~(mult(mult(b, a), mult(a, b)) = mult(b, mult(a, mult(a, b))))) | (~(mult(mult(b, mult(a, b)), a) = mult(b, mult(mult(a, b), a))))) | (mult(mult(b, mult(a, b)), a) = mult(b, mult(mult(a, b), a)))),
% 5.50/5.74 inference(tautology,[status(thm)],[])).
% 5.50/5.74 tff(10688,plain,
% 5.50/5.74 (mult(mult(b, mult(a, b)), a) = mult(b, mult(mult(a, b), a))),
% 5.50/5.74 inference(unit_resolution,[status(thm)],[10687, 10686])).
% 5.50/5.74 tff(10689,plain,
% 5.50/5.74 ((mult(a, mult(mult(a, mult(a, c)), b)) = mult(mult(a, mult(a, mult(a, c))), b)) <=> (mult(mult(a, mult(a, mult(a, c))), b) = mult(a, mult(mult(a, mult(a, c)), b)))),
% 5.50/5.74 inference(commutativity,[status(thm)],[])).
% 5.50/5.74 tff(10690,assumption,(~(mult(mult(a, b), mult(a, mult(a, c))) = mult(a, mult(b, mult(a, mult(a, c)))))), introduced(assumption)).
% 5.50/5.74 tff(10691,plain,
% 5.50/5.74 ((~(mult(mult(a, b), mult(a, mult(a, c))) = mult(a, mult(b, mult(a, mult(a, c)))))) | (~(mult(mult(a, mult(a, mult(a, c))), b) = mult(a, mult(mult(a, mult(a, c)), b))))),
% 5.50/5.74 inference(unit_resolution,[status(thm)],[5607, 10690])).
% 5.50/5.74 tff(10692,plain,
% 5.50/5.74 (~((~(mult(mult(a, b), mult(a, mult(a, c))) = mult(a, mult(mult(a, mult(a, c)), b)))) | (~(mult(mult(a, mult(a, mult(a, c))), b) = mult(a, mult(b, mult(a, mult(a, c)))))))),
% 5.50/5.74 inference(unit_resolution,[status(thm)],[10585, 10691])).
% 5.50/5.74 tff(10693,plain,
% 5.50/5.74 (mult(mult(a, mult(a, mult(a, c))), b) = mult(a, mult(b, mult(a, mult(a, c))))),
% 5.50/5.74 inference(unit_resolution,[status(thm)],[5600, 10692])).
% 5.50/5.74 tff(10694,plain,
% 5.50/5.74 (mult(a, mult(b, mult(a, mult(a, c)))) = mult(mult(a, mult(a, mult(a, c))), b)),
% 5.50/5.74 inference(symmetry,[status(thm)],[10693])).
% 5.50/5.74 tff(10695,plain,
% 5.50/5.74 (mult(a, mult(mult(mult(b, c), a), a)) = mult(mult(a, mult(a, mult(a, c))), b)),
% 5.50/5.74 inference(transitivity,[status(thm)],[10563, 10694])).
% 5.50/5.74 tff(10696,plain,
% 5.50/5.74 (mult(mult(a, b), mult(a, mult(a, c))) = mult(a, mult(mult(a, mult(a, c)), b))),
% 5.50/5.74 inference(unit_resolution,[status(thm)],[5675, 10692])).
% 5.50/5.74 tff(10697,plain,
% 5.50/5.74 (mult(mult(mult(mult(a, b), c), a), a) = mult(mult(mult(a, b), mult(a, c)), a)),
% 5.50/5.74 inference(monotonicity,[status(thm)],[168])).
% 5.50/5.74 tff(10698,plain,
% 5.50/5.74 (mult(mult(a, mult(mult(b, c), a)), a) = mult(a, mult(mult(a, mult(a, c)), b))),
% 5.50/5.74 inference(transitivity,[status(thm)],[10662, 10697, 6309, 10696])).
% 5.50/5.74 tff(10699,plain,
% 5.50/5.74 ((mult(mult(a, mult(mult(b, c), a)), a) = mult(a, mult(mult(mult(b, c), a), a))) <=> (mult(a, mult(mult(a, mult(a, c)), b)) = mult(mult(a, mult(a, mult(a, c))), b))),
% 5.50/5.74 inference(monotonicity,[status(thm)],[10698, 10695])).
% 5.50/5.74 tff(10700,plain,
% 5.50/5.74 ((mult(mult(a, mult(mult(b, c), a)), a) = mult(a, mult(mult(mult(b, c), a), a))) <=> (mult(mult(a, mult(a, mult(a, c))), b) = mult(a, mult(mult(a, mult(a, c)), b)))),
% 5.50/5.74 inference(transitivity,[status(thm)],[10699, 10689])).
% 5.50/5.74 tff(10701,plain,
% 5.50/5.74 ((mult(mult(a, mult(a, mult(a, c))), b) = mult(a, mult(mult(a, mult(a, c)), b))) <=> (mult(mult(a, mult(mult(b, c), a)), a) = mult(a, mult(mult(mult(b, c), a), a)))),
% 5.50/5.74 inference(symmetry,[status(thm)],[10700])).
% 5.50/5.74 tff(10702,plain,
% 5.50/5.74 ((~(mult(mult(a, mult(a, mult(a, c))), b) = mult(a, mult(mult(a, mult(a, c)), b)))) <=> (~(mult(mult(a, mult(mult(b, c), a)), a) = mult(a, mult(mult(mult(b, c), a), a))))),
% 5.50/5.74 inference(monotonicity,[status(thm)],[10701])).
% 5.50/5.74 tff(10703,plain,
% 5.50/5.74 ((mult(mult(a, b), mult(a, mult(a, c))) = mult(a, mult(b, mult(a, mult(a, c))))) <=> (mult(a, mult(mult(a, mult(a, c)), b)) = mult(mult(a, mult(a, mult(a, c))), b))),
% 5.50/5.74 inference(monotonicity,[status(thm)],[10696, 10694])).
% 5.50/5.74 tff(10704,plain,
% 5.50/5.74 ((mult(mult(a, b), mult(a, mult(a, c))) = mult(a, mult(b, mult(a, mult(a, c))))) <=> (mult(mult(a, mult(a, mult(a, c))), b) = mult(a, mult(mult(a, mult(a, c)), b)))),
% 5.50/5.74 inference(transitivity,[status(thm)],[10703, 10689])).
% 5.50/5.74 tff(10705,plain,
% 5.50/5.74 ((~(mult(mult(a, b), mult(a, mult(a, c))) = mult(a, mult(b, mult(a, mult(a, c)))))) <=> (~(mult(mult(a, mult(a, mult(a, c))), b) = mult(a, mult(mult(a, mult(a, c)), b))))),
% 5.50/5.74 inference(monotonicity,[status(thm)],[10704])).
% 5.50/5.74 tff(10706,plain,
% 5.50/5.74 (~(mult(mult(a, mult(a, mult(a, c))), b) = mult(a, mult(mult(a, mult(a, c)), b)))),
% 5.50/5.74 inference(modus_ponens,[status(thm)],[10690, 10705])).
% 5.50/5.74 tff(10707,plain,
% 5.50/5.74 (~(mult(mult(a, mult(mult(b, c), a)), a) = mult(a, mult(mult(mult(b, c), a), a)))),
% 5.50/5.74 inference(modus_ponens,[status(thm)],[10706, 10702])).
% 5.50/5.74 tff(10708,plain,
% 5.50/5.74 ($false),
% 5.50/5.74 inference(unit_resolution,[status(thm)],[10561, 10707])).
% 5.50/5.74 tff(10709,plain,((mult(mult(a, b), mult(a, mult(a, c))) = mult(a, mult(b, mult(a, mult(a, c))))) | (~(mult(mult(a, mult(mult(b, c), a)), a) = mult(a, mult(mult(mult(b, c), a), a)))) | (~(mult(mult(mult(a, b), mult(a, c)), a) = mult(mult(a, b), mult(a, mult(a, c))))) | (~(mult(mult(mult(a, b), c), a) = mult(mult(a, b), mult(a, c)))) | (~(mult(mult(a, mult(b, c)), a) = mult(a, mult(mult(b, c), a))))), inference(lemma,lemma(discharge,[]))).
% 5.50/5.74 tff(10710,plain,
% 5.50/5.74 (mult(mult(a, b), mult(a, mult(a, c))) = mult(a, mult(b, mult(a, mult(a, c))))),
% 5.50/5.74 inference(unit_resolution,[status(thm)],[10709, 10651, 10646, 10408, 10436])).
% 5.50/5.74 tff(10711,assumption,(~(mult(mult(mult(a, b), a), mult(a, c)) = mult(mult(a, b), mult(mult(a, c), a)))), introduced(assumption)).
% 5.50/5.74 tff(10712,plain,
% 5.50/5.74 (((~(mult(mult(mult(a, b), a), mult(a, c)) = mult(mult(a, b), mult(mult(a, c), a)))) | (~(mult(mult(mult(a, b), mult(a, c)), a) = mult(mult(a, b), mult(a, mult(a, c)))))) | (mult(mult(mult(a, b), a), mult(a, c)) = mult(mult(a, b), mult(mult(a, c), a)))),
% 5.50/5.74 inference(tautology,[status(thm)],[])).
% 5.50/5.74 tff(10713,plain,
% 5.50/5.74 ((~(mult(mult(mult(a, b), a), mult(a, c)) = mult(mult(a, b), mult(mult(a, c), a)))) | (~(mult(mult(mult(a, b), mult(a, c)), a) = mult(mult(a, b), mult(a, mult(a, c)))))),
% 5.50/5.74 inference(unit_resolution,[status(thm)],[10712, 10711])).
% 5.50/5.74 tff(10714,plain,
% 5.50/5.74 (~((~(mult(mult(mult(a, b), a), mult(a, c)) = mult(mult(a, b), mult(a, mult(a, c))))) | (~(mult(mult(mult(a, b), mult(a, c)), a) = mult(mult(a, b), mult(mult(a, c), a)))))),
% 5.50/5.74 inference(unit_resolution,[status(thm)],[5555, 10713])).
% 5.50/5.74 tff(10715,plain,
% 5.50/5.74 (((~(mult(mult(mult(a, b), a), mult(a, c)) = mult(mult(a, b), mult(a, mult(a, c))))) | (~(mult(mult(mult(a, b), mult(a, c)), a) = mult(mult(a, b), mult(mult(a, c), a))))) | (mult(mult(mult(a, b), mult(a, c)), a) = mult(mult(a, b), mult(mult(a, c), a)))),
% 5.50/5.74 inference(tautology,[status(thm)],[])).
% 5.50/5.74 tff(10716,plain,
% 5.50/5.74 (mult(mult(mult(a, b), mult(a, c)), a) = mult(mult(a, b), mult(mult(a, c), a))),
% 5.50/5.74 inference(unit_resolution,[status(thm)],[10715, 10714])).
% 5.50/5.74 tff(10717,plain,
% 5.50/5.74 (mult(mult(a, b), mult(mult(a, c), a)) = mult(mult(mult(a, b), mult(a, c)), a)),
% 5.50/5.74 inference(symmetry,[status(thm)],[10716])).
% 5.50/5.74 tff(10718,plain,
% 5.50/5.74 (mult(mult(a, b), mult(mult(a, c), a)) = mult(mult(a, b), mult(a, mult(a, c)))),
% 5.50/5.74 inference(transitivity,[status(thm)],[10717, 6309])).
% 5.50/5.74 tff(10719,plain,
% 5.50/5.74 ((mult(mult(mult(a, b), a), mult(a, c)) = mult(mult(a, b), mult(mult(a, c), a))) <=> (mult(mult(mult(a, b), a), mult(a, c)) = mult(mult(a, b), mult(a, mult(a, c))))),
% 5.50/5.74 inference(monotonicity,[status(thm)],[10718])).
% 5.50/5.74 tff(10720,plain,
% 5.50/5.74 ((mult(mult(mult(a, b), a), mult(a, c)) = mult(mult(a, b), mult(a, mult(a, c)))) <=> (mult(mult(mult(a, b), a), mult(a, c)) = mult(mult(a, b), mult(mult(a, c), a)))),
% 5.50/5.74 inference(symmetry,[status(thm)],[10719])).
% 5.50/5.74 tff(10721,plain,
% 5.50/5.74 (mult(mult(mult(a, b), a), mult(a, c)) = mult(mult(a, b), mult(a, mult(a, c)))),
% 5.50/5.74 inference(unit_resolution,[status(thm)],[5557, 10714])).
% 5.50/5.74 tff(10722,plain,
% 5.50/5.74 (mult(mult(mult(a, b), a), mult(a, c)) = mult(mult(a, b), mult(mult(a, c), a))),
% 5.50/5.74 inference(modus_ponens,[status(thm)],[10721, 10720])).
% 5.50/5.74 tff(10723,plain,
% 5.50/5.74 ($false),
% 5.50/5.74 inference(unit_resolution,[status(thm)],[10711, 10722])).
% 5.50/5.74 tff(10724,plain,((mult(mult(mult(a, b), a), mult(a, c)) = mult(mult(a, b), mult(mult(a, c), a))) | (~(mult(mult(mult(a, b), mult(a, c)), a) = mult(mult(a, b), mult(a, mult(a, c)))))), inference(lemma,lemma(discharge,[]))).
% 5.50/5.74 tff(10725,plain,
% 5.50/5.74 (mult(mult(mult(a, b), a), mult(a, c)) = mult(mult(a, b), mult(mult(a, c), a))),
% 5.50/5.74 inference(unit_resolution,[status(thm)],[10724, 10646])).
% 5.50/5.74 tff(10726,assumption,(~(mult(mult(mult(b, mult(c, a)), a), mult(b, a)) = mult(mult(b, mult(c, a)), mult(a, mult(b, a))))), introduced(assumption)).
% 5.50/5.74 tff(10727,assumption,(mult(mult(a, mult(a, mult(a, c))), b) = mult(a, mult(mult(a, mult(a, c)), b))), introduced(assumption)).
% 5.50/5.74 tff(10728,plain,
% 5.50/5.74 (mult(mult(a, c), mult(b, a)) = mult(a, mult(c, mult(b, a)))),
% 5.50/5.74 inference(unit_resolution,[status(thm)],[9243, 754])).
% 5.50/5.74 tff(10729,plain,
% 5.50/5.74 (mult(mult(a, c), mult(a, b)) = mult(a, mult(c, mult(a, b)))),
% 5.50/5.75 inference(unit_resolution,[status(thm)],[9003, 256])).
% 5.50/5.75 tff(10730,plain,
% 5.50/5.75 (mult(mult(mult(a, c), a), b) = mult(mult(a, c), mult(b, a))),
% 5.50/5.75 inference(unit_resolution,[status(thm)],[9011, 1110, 10729])).
% 5.50/5.75 tff(10731,plain,
% 5.50/5.75 (mult(mult(a, c), mult(a, mult(b, a))) = mult(mult(a, c), mult(mult(a, b), a))),
% 5.50/5.75 inference(monotonicity,[status(thm)],[4194])).
% 5.50/5.75 tff(10732,plain,
% 5.50/5.75 (mult(mult(a, c), mult(mult(a, b), a)) = mult(mult(a, c), mult(a, mult(b, a)))),
% 5.50/5.75 inference(symmetry,[status(thm)],[10731])).
% 5.50/5.75 tff(10733,plain,
% 5.50/5.75 (mult(mult(mult(a, c), mult(b, a)), a) = mult(mult(a, c), mult(a, mult(b, a)))),
% 5.50/5.75 inference(transitivity,[status(thm)],[6996, 1531, 10732])).
% 5.50/5.75 tff(10734,assumption,(~(mult(mult(mult(a, c), mult(b, a)), a) = mult(mult(a, c), mult(a, mult(b, a))))), introduced(assumption)).
% 5.50/5.75 tff(10735,plain,
% 5.50/5.75 ($false),
% 5.50/5.75 inference(unit_resolution,[status(thm)],[10734, 10733])).
% 5.50/5.75 tff(10736,plain,((mult(mult(mult(a, c), mult(b, a)), a) = mult(mult(a, c), mult(a, mult(b, a)))) | (~(mult(mult(mult(a, c), a), b) = mult(mult(a, c), mult(b, a))))), inference(lemma,lemma(discharge,[]))).
% 5.50/5.75 tff(10737,plain,
% 5.50/5.75 (mult(mult(mult(a, c), mult(b, a)), a) = mult(mult(a, c), mult(a, mult(b, a)))),
% 5.50/5.75 inference(unit_resolution,[status(thm)],[10736, 10730])).
% 5.50/5.75 tff(10738,plain,
% 5.50/5.75 (mult(a, mult(mult(b, a), c)) = mult(mult(a, mult(b, a)), c)),
% 5.50/5.75 inference(transitivity,[status(thm)],[4878, 3682, 9223, 9069])).
% 5.50/5.75 tff(10739,plain,
% 5.50/5.75 ((mult(mult(a, c), mult(b, a)) = mult(a, mult(mult(b, a), c))) <=> (mult(a, mult(c, mult(b, a))) = mult(mult(a, mult(b, a)), c))),
% 5.50/5.75 inference(monotonicity,[status(thm)],[10728, 10738])).
% 5.50/5.75 tff(10740,plain,
% 5.50/5.75 ((mult(mult(a, c), mult(b, a)) = mult(a, mult(mult(b, a), c))) <=> (mult(mult(a, mult(b, a)), c) = mult(a, mult(c, mult(b, a))))),
% 5.50/5.75 inference(transitivity,[status(thm)],[10739, 9285])).
% 5.50/5.75 tff(10741,plain,
% 5.50/5.75 ((mult(mult(a, mult(b, a)), c) = mult(a, mult(c, mult(b, a)))) <=> (mult(mult(a, c), mult(b, a)) = mult(a, mult(mult(b, a), c)))),
% 5.50/5.75 inference(symmetry,[status(thm)],[10740])).
% 5.50/5.75 tff(10742,plain,
% 5.50/5.75 ((~(mult(mult(a, mult(b, a)), c) = mult(a, mult(c, mult(b, a))))) <=> (~(mult(mult(a, c), mult(b, a)) = mult(a, mult(mult(b, a), c))))),
% 5.50/5.75 inference(monotonicity,[status(thm)],[10741])).
% 5.50/5.75 tff(10743,assumption,(~(mult(mult(a, mult(b, a)), c) = mult(a, mult(c, mult(b, a))))), introduced(assumption)).
% 5.50/5.75 tff(10744,plain,
% 5.50/5.75 (~(mult(mult(a, c), mult(b, a)) = mult(a, mult(mult(b, a), c)))),
% 5.50/5.75 inference(modus_ponens,[status(thm)],[10743, 10742])).
% 5.50/5.75 tff(10745,plain,
% 5.50/5.75 ((~![B: $i, A: $i] : (ld(A, mult(A, B)) = B)) | (ld(a, mult(a, mult(a, mult(b, mult(c, a))))) = mult(a, mult(b, mult(c, a))))),
% 5.50/5.75 inference(quant_inst,[status(thm)],[])).
% 5.50/5.75 tff(10746,plain,
% 5.50/5.75 (ld(a, mult(a, mult(a, mult(b, mult(c, a))))) = mult(a, mult(b, mult(c, a)))),
% 5.50/5.75 inference(unit_resolution,[status(thm)],[10745, 9])).
% 5.50/5.75 tff(10747,plain,
% 5.50/5.75 (mult(mult(a, mult(c, a)), b) = mult(mult(a, c), mult(b, a))),
% 5.50/5.75 inference(transitivity,[status(thm)],[3782, 1362])).
% 5.50/5.75 tff(10748,plain,
% 5.50/5.75 ((mult(mult(a, mult(c, a)), b) = mult(a, mult(b, mult(c, a)))) <=> (mult(mult(a, c), mult(b, a)) = mult(a, mult(mult(b, a), c)))),
% 5.50/5.75 inference(monotonicity,[status(thm)],[10747, 3767])).
% 5.50/5.75 tff(10749,plain,
% 5.50/5.75 (mult(mult(a, c), mult(b, a)) = mult(a, mult(mult(b, a), c))),
% 5.50/5.75 inference(modus_ponens,[status(thm)],[1736, 10748])).
% 5.50/5.75 tff(10750,plain,
% 5.50/5.75 ($false),
% 5.50/5.75 inference(unit_resolution,[status(thm)],[2742, 10749])).
% 5.50/5.75 tff(10751,plain,((~(mult(mult(a, mult(c, a)), b) = mult(a, mult(b, mult(c, a))))) | (mult(mult(a, c), mult(b, a)) = mult(a, mult(mult(b, a), c))) | (~(mult(mult(b, a), c) = mult(b, mult(c, a)))) | (~(mult(mult(mult(a, c), a), b) = mult(mult(a, c), mult(b, a)))) | (~(mult(mult(b, mult(c, a)), a) = mult(b, mult(a, mult(c, a)))))), inference(lemma,lemma(discharge,[]))).
% 5.50/5.75 tff(10752,plain,
% 5.50/5.75 (~(mult(mult(a, mult(c, a)), b) = mult(a, mult(b, mult(c, a))))),
% 5.50/5.75 inference(unit_resolution,[status(thm)],[10751, 2742, 3448, 1362, 3635])).
% 5.50/5.75 tff(10753,plain,
% 5.50/5.75 ((~(mult(mult(a, b), mult(c, a)) = mult(a, mult(mult(c, a), b)))) | (~(mult(mult(a, mult(c, a)), b) = mult(a, mult(b, mult(c, a)))))),
% 5.50/5.75 inference(unit_resolution,[status(thm)],[735, 10752])).
% 5.50/5.75 tff(10754,plain,
% 5.50/5.75 (~((~(mult(mult(a, b), mult(c, a)) = mult(a, mult(b, mult(c, a))))) | (~(mult(mult(a, mult(c, a)), b) = mult(a, mult(mult(c, a), b)))))),
% 5.50/5.75 inference(unit_resolution,[status(thm)],[201, 10753])).
% 5.50/5.75 tff(10755,plain,
% 5.50/5.75 (mult(mult(a, mult(c, a)), b) = mult(a, mult(mult(c, a), b))),
% 5.50/5.75 inference(unit_resolution,[status(thm)],[739, 10754])).
% 5.50/5.75 tff(10756,plain,
% 5.50/5.75 (mult(mult(a, c), mult(b, a)) = mult(a, mult(mult(c, a), b))),
% 5.50/5.75 inference(transitivity,[status(thm)],[1720, 3817, 10755])).
% 5.50/5.75 tff(10757,plain,
% 5.50/5.75 (mult(a, mult(mult(a, c), mult(b, a))) = mult(a, mult(a, mult(mult(c, a), b)))),
% 5.50/5.75 inference(monotonicity,[status(thm)],[10756])).
% 5.50/5.75 tff(10758,plain,
% 5.50/5.75 (mult(a, mult(a, mult(mult(c, a), b))) = mult(a, mult(mult(a, c), mult(b, a)))),
% 5.50/5.75 inference(symmetry,[status(thm)],[10757])).
% 5.50/5.75 tff(10759,assumption,(~(mult(mult(a, mult(mult(c, a), b)), a) = mult(a, mult(mult(mult(c, a), b), a)))), introduced(assumption)).
% 5.50/5.75 tff(10760,plain,
% 5.50/5.75 (((~(mult(mult(a, a), mult(mult(c, a), b)) = mult(a, mult(a, mult(mult(c, a), b))))) | (~(mult(mult(a, mult(mult(c, a), b)), a) = mult(a, mult(mult(mult(c, a), b), a))))) | (mult(mult(a, mult(mult(c, a), b)), a) = mult(a, mult(mult(mult(c, a), b), a)))),
% 5.50/5.75 inference(tautology,[status(thm)],[])).
% 5.50/5.75 tff(10761,plain,
% 5.50/5.75 ((~(mult(mult(a, a), mult(mult(c, a), b)) = mult(a, mult(a, mult(mult(c, a), b))))) | (~(mult(mult(a, mult(mult(c, a), b)), a) = mult(a, mult(mult(mult(c, a), b), a))))),
% 5.50/5.75 inference(unit_resolution,[status(thm)],[10760, 10759])).
% 5.50/5.75 tff(10762,plain,
% 5.50/5.75 (((~![X0: $i, X1: $i, X2: $i] : ((~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X2, X1)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X1, X2)))))) | (~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X1, X2)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X2, X1)))))))) | ((~((~(mult(mult(a, a), mult(mult(c, a), b)) = mult(a, mult(a, mult(mult(c, a), b))))) | (~(mult(mult(a, mult(mult(c, a), b)), a) = mult(a, mult(mult(mult(c, a), b), a)))))) | (~((~(mult(mult(a, a), mult(mult(c, a), b)) = mult(a, mult(mult(mult(c, a), b), a)))) | (~(mult(mult(a, mult(mult(c, a), b)), a) = mult(a, mult(a, mult(mult(c, a), b))))))))) <=> ((~![X0: $i, X1: $i, X2: $i] : ((~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X2, X1)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X1, X2)))))) | (~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X1, X2)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X2, X1)))))))) | (~((~(mult(mult(a, a), mult(mult(c, a), b)) = mult(a, mult(a, mult(mult(c, a), b))))) | (~(mult(mult(a, mult(mult(c, a), b)), a) = mult(a, mult(mult(mult(c, a), b), a)))))) | (~((~(mult(mult(a, a), mult(mult(c, a), b)) = mult(a, mult(mult(mult(c, a), b), a)))) | (~(mult(mult(a, mult(mult(c, a), b)), a) = mult(a, mult(a, mult(mult(c, a), b))))))))),
% 5.50/5.75 inference(rewrite,[status(thm)],[])).
% 5.50/5.75 tff(10763,plain,
% 5.50/5.75 (((~((~(mult(mult(a, a), mult(mult(c, a), b)) = mult(a, mult(mult(mult(c, a), b), a)))) | (~(mult(mult(a, mult(mult(c, a), b)), a) = mult(a, mult(a, mult(mult(c, a), b))))))) | (~((~(mult(mult(a, a), mult(mult(c, a), b)) = mult(a, mult(a, mult(mult(c, a), b))))) | (~(mult(mult(a, mult(mult(c, a), b)), a) = mult(a, mult(mult(mult(c, a), b), a))))))) <=> ((~((~(mult(mult(a, a), mult(mult(c, a), b)) = mult(a, mult(a, mult(mult(c, a), b))))) | (~(mult(mult(a, mult(mult(c, a), b)), a) = mult(a, mult(mult(mult(c, a), b), a)))))) | (~((~(mult(mult(a, a), mult(mult(c, a), b)) = mult(a, mult(mult(mult(c, a), b), a)))) | (~(mult(mult(a, mult(mult(c, a), b)), a) = mult(a, mult(a, mult(mult(c, a), b))))))))),
% 5.50/5.75 inference(rewrite,[status(thm)],[])).
% 5.50/5.75 tff(10764,plain,
% 5.50/5.75 (((~![X0: $i, X1: $i, X2: $i] : ((~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X2, X1)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X1, X2)))))) | (~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X1, X2)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X2, X1)))))))) | ((~((~(mult(mult(a, a), mult(mult(c, a), b)) = mult(a, mult(mult(mult(c, a), b), a)))) | (~(mult(mult(a, mult(mult(c, a), b)), a) = mult(a, mult(a, mult(mult(c, a), b))))))) | (~((~(mult(mult(a, a), mult(mult(c, a), b)) = mult(a, mult(a, mult(mult(c, a), b))))) | (~(mult(mult(a, mult(mult(c, a), b)), a) = mult(a, mult(mult(mult(c, a), b), a)))))))) <=> ((~![X0: $i, X1: $i, X2: $i] : ((~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X2, X1)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X1, X2)))))) | (~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X1, X2)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X2, X1)))))))) | ((~((~(mult(mult(a, a), mult(mult(c, a), b)) = mult(a, mult(a, mult(mult(c, a), b))))) | (~(mult(mult(a, mult(mult(c, a), b)), a) = mult(a, mult(mult(mult(c, a), b), a)))))) | (~((~(mult(mult(a, a), mult(mult(c, a), b)) = mult(a, mult(mult(mult(c, a), b), a)))) | (~(mult(mult(a, mult(mult(c, a), b)), a) = mult(a, mult(a, mult(mult(c, a), b)))))))))),
% 5.59/5.75 inference(monotonicity,[status(thm)],[10763])).
% 5.59/5.75 tff(10765,plain,
% 5.59/5.75 (((~![X0: $i, X1: $i, X2: $i] : ((~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X2, X1)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X1, X2)))))) | (~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X1, X2)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X2, X1)))))))) | ((~((~(mult(mult(a, a), mult(mult(c, a), b)) = mult(a, mult(mult(mult(c, a), b), a)))) | (~(mult(mult(a, mult(mult(c, a), b)), a) = mult(a, mult(a, mult(mult(c, a), b))))))) | (~((~(mult(mult(a, a), mult(mult(c, a), b)) = mult(a, mult(a, mult(mult(c, a), b))))) | (~(mult(mult(a, mult(mult(c, a), b)), a) = mult(a, mult(mult(mult(c, a), b), a)))))))) <=> ((~![X0: $i, X1: $i, X2: $i] : ((~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X2, X1)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X1, X2)))))) | (~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X1, X2)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X2, X1)))))))) | (~((~(mult(mult(a, a), mult(mult(c, a), b)) = mult(a, mult(a, mult(mult(c, a), b))))) | (~(mult(mult(a, mult(mult(c, a), b)), a) = mult(a, mult(mult(mult(c, a), b), a)))))) | (~((~(mult(mult(a, a), mult(mult(c, a), b)) = mult(a, mult(mult(mult(c, a), b), a)))) | (~(mult(mult(a, mult(mult(c, a), b)), a) = mult(a, mult(a, mult(mult(c, a), b))))))))),
% 5.59/5.75 inference(transitivity,[status(thm)],[10764, 10762])).
% 5.59/5.75 tff(10766,plain,
% 5.59/5.75 ((~![X0: $i, X1: $i, X2: $i] : ((~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X2, X1)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X1, X2)))))) | (~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X1, X2)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X2, X1)))))))) | ((~((~(mult(mult(a, a), mult(mult(c, a), b)) = mult(a, mult(mult(mult(c, a), b), a)))) | (~(mult(mult(a, mult(mult(c, a), b)), a) = mult(a, mult(a, mult(mult(c, a), b))))))) | (~((~(mult(mult(a, a), mult(mult(c, a), b)) = mult(a, mult(a, mult(mult(c, a), b))))) | (~(mult(mult(a, mult(mult(c, a), b)), a) = mult(a, mult(mult(mult(c, a), b), a)))))))),
% 5.59/5.75 inference(quant_inst,[status(thm)],[])).
% 5.59/5.75 tff(10767,plain,
% 5.59/5.75 ((~![X0: $i, X1: $i, X2: $i] : ((~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X2, X1)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X1, X2)))))) | (~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X1, X2)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X2, X1)))))))) | (~((~(mult(mult(a, a), mult(mult(c, a), b)) = mult(a, mult(a, mult(mult(c, a), b))))) | (~(mult(mult(a, mult(mult(c, a), b)), a) = mult(a, mult(mult(mult(c, a), b), a)))))) | (~((~(mult(mult(a, a), mult(mult(c, a), b)) = mult(a, mult(mult(mult(c, a), b), a)))) | (~(mult(mult(a, mult(mult(c, a), b)), a) = mult(a, mult(a, mult(mult(c, a), b)))))))),
% 5.59/5.75 inference(modus_ponens,[status(thm)],[10766, 10765])).
% 5.59/5.75 tff(10768,plain,
% 5.59/5.75 ((~((~(mult(mult(a, a), mult(mult(c, a), b)) = mult(a, mult(a, mult(mult(c, a), b))))) | (~(mult(mult(a, mult(mult(c, a), b)), a) = mult(a, mult(mult(mult(c, a), b), a)))))) | (~((~(mult(mult(a, a), mult(mult(c, a), b)) = mult(a, mult(mult(mult(c, a), b), a)))) | (~(mult(mult(a, mult(mult(c, a), b)), a) = mult(a, mult(a, mult(mult(c, a), b)))))))),
% 5.59/5.75 inference(unit_resolution,[status(thm)],[10767, 30])).
% 5.59/5.75 tff(10769,plain,
% 5.59/5.75 (~((~(mult(mult(a, a), mult(mult(c, a), b)) = mult(a, mult(mult(mult(c, a), b), a)))) | (~(mult(mult(a, mult(mult(c, a), b)), a) = mult(a, mult(a, mult(mult(c, a), b))))))),
% 5.59/5.75 inference(unit_resolution,[status(thm)],[10768, 10761])).
% 5.59/5.75 tff(10770,plain,
% 5.59/5.75 (((~(mult(mult(a, a), mult(mult(c, a), b)) = mult(a, mult(mult(mult(c, a), b), a)))) | (~(mult(mult(a, mult(mult(c, a), b)), a) = mult(a, mult(a, mult(mult(c, a), b)))))) | (mult(mult(a, mult(mult(c, a), b)), a) = mult(a, mult(a, mult(mult(c, a), b))))),
% 5.59/5.75 inference(tautology,[status(thm)],[])).
% 5.59/5.75 tff(10771,plain,
% 5.59/5.75 (mult(mult(a, mult(mult(c, a), b)), a) = mult(a, mult(a, mult(mult(c, a), b)))),
% 5.59/5.75 inference(unit_resolution,[status(thm)],[10770, 10769])).
% 5.59/5.75 tff(10772,plain,
% 5.59/5.75 (mult(a, mult(mult(c, a), b)) = mult(mult(a, mult(c, a)), b)),
% 5.59/5.75 inference(symmetry,[status(thm)],[10755])).
% 5.59/5.75 tff(10773,plain,
% 5.59/5.75 (mult(a, mult(mult(c, a), b)) = mult(mult(a, c), mult(b, a))),
% 5.59/5.75 inference(transitivity,[status(thm)],[10772, 3782, 1362])).
% 5.59/5.75 tff(10774,plain,
% 5.59/5.75 (mult(mult(a, mult(mult(c, a), b)), a) = mult(mult(mult(a, c), mult(b, a)), a)),
% 5.59/5.75 inference(monotonicity,[status(thm)],[10773])).
% 5.59/5.75 tff(10775,plain,
% 5.59/5.75 (mult(mult(mult(a, c), mult(b, a)), a) = mult(mult(a, mult(mult(c, a), b)), a)),
% 5.59/5.75 inference(symmetry,[status(thm)],[10774])).
% 5.59/5.75 tff(10776,plain,
% 5.59/5.75 (mult(mult(mult(mult(a, c), a), b), a) = mult(mult(mult(a, c), mult(b, a)), a)),
% 5.59/5.75 inference(monotonicity,[status(thm)],[1362])).
% 5.59/5.75 tff(10777,plain,
% 5.59/5.75 (mult(a, mult(c, mult(mult(a, b), a))) = mult(a, mult(mult(mult(c, a), b), a))),
% 5.59/5.75 inference(monotonicity,[status(thm)],[2808])).
% 5.59/5.75 tff(10778,plain,
% 5.59/5.75 (mult(a, mult(mult(c, a), b)) = mult(mult(a, c), mult(b, a))),
% 5.59/5.75 inference(transitivity,[status(thm)],[983, 3782, 1362])).
% 5.59/5.75 tff(10779,plain,
% 5.59/5.75 (mult(mult(a, mult(mult(c, a), b)), a) = mult(mult(mult(a, c), mult(b, a)), a)),
% 5.59/5.75 inference(monotonicity,[status(thm)],[10778])).
% 5.59/5.75 tff(10780,plain,
% 5.59/5.75 (mult(mult(mult(a, c), mult(b, a)), a) = mult(mult(a, mult(mult(c, a), b)), a)),
% 5.59/5.75 inference(symmetry,[status(thm)],[10779])).
% 5.59/5.75 tff(10781,plain,
% 5.59/5.75 (mult(mult(a, c), mult(mult(a, b), a)) = mult(mult(a, mult(mult(c, a), b)), a)),
% 5.59/5.75 inference(transitivity,[status(thm)],[1532, 10776, 10780])).
% 5.59/5.75 tff(10782,plain,
% 5.59/5.75 ((mult(mult(a, c), mult(mult(a, b), a)) = mult(a, mult(c, mult(mult(a, b), a)))) <=> (mult(mult(a, mult(mult(c, a), b)), a) = mult(a, mult(mult(mult(c, a), b), a)))),
% 5.59/5.75 inference(monotonicity,[status(thm)],[10781, 10777])).
% 5.59/5.75 tff(10783,assumption,(mult(mult(a, c), mult(mult(a, b), a)) = mult(a, mult(c, mult(mult(a, b), a)))), introduced(assumption)).
% 5.59/5.75 tff(10784,plain,
% 5.59/5.75 (mult(mult(a, mult(mult(c, a), b)), a) = mult(a, mult(mult(mult(c, a), b), a))),
% 5.59/5.75 inference(modus_ponens,[status(thm)],[10783, 10782])).
% 5.59/5.75 tff(10785,plain,
% 5.59/5.75 ($false),
% 5.59/5.75 inference(unit_resolution,[status(thm)],[10759, 10784])).
% 5.59/5.75 tff(10786,plain,((~(mult(mult(a, c), mult(mult(a, b), a)) = mult(a, mult(c, mult(mult(a, b), a))))) | (mult(mult(a, mult(mult(c, a), b)), a) = mult(a, mult(mult(mult(c, a), b), a))) | (~(mult(mult(a, mult(c, a)), b) = mult(a, mult(mult(c, a), b)))) | (~(mult(mult(mult(a, c), a), b) = mult(mult(a, c), mult(b, a)))) | (~(mult(mult(b, mult(c, a)), a) = mult(b, mult(a, mult(c, a))))) | (~(mult(mult(b, a), c) = mult(b, mult(c, a))))), inference(lemma,lemma(discharge,[]))).
% 5.59/5.75 tff(10787,plain,
% 5.59/5.75 (~(mult(mult(a, c), mult(mult(a, b), a)) = mult(a, mult(c, mult(mult(a, b), a))))),
% 5.59/5.75 inference(unit_resolution,[status(thm)],[10786, 10759, 10755, 1362, 3635, 3448])).
% 5.59/5.75 tff(10788,plain,
% 5.59/5.75 (((~(mult(mult(a, mult(mult(a, b), a)), c) = mult(a, mult(mult(mult(a, b), a), c)))) | (~(mult(mult(a, c), mult(mult(a, b), a)) = mult(a, mult(c, mult(mult(a, b), a)))))) | (mult(mult(a, c), mult(mult(a, b), a)) = mult(a, mult(c, mult(mult(a, b), a))))),
% 5.59/5.75 inference(tautology,[status(thm)],[])).
% 5.59/5.75 tff(10789,plain,
% 5.59/5.75 ((~(mult(mult(a, mult(mult(a, b), a)), c) = mult(a, mult(mult(mult(a, b), a), c)))) | (~(mult(mult(a, c), mult(mult(a, b), a)) = mult(a, mult(c, mult(mult(a, b), a)))))),
% 5.59/5.75 inference(unit_resolution,[status(thm)],[10788, 10787])).
% 5.59/5.75 tff(10790,plain,
% 5.59/5.75 (((~![X0: $i, X1: $i, X2: $i] : ((~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X2, X1)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X1, X2)))))) | (~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X1, X2)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X2, X1)))))))) | ((~((~(mult(mult(a, mult(mult(a, b), a)), c) = mult(a, mult(c, mult(mult(a, b), a))))) | (~(mult(mult(a, c), mult(mult(a, b), a)) = mult(a, mult(mult(mult(a, b), a), c)))))) | (~((~(mult(mult(a, mult(mult(a, b), a)), c) = mult(a, mult(mult(mult(a, b), a), c)))) | (~(mult(mult(a, c), mult(mult(a, b), a)) = mult(a, mult(c, mult(mult(a, b), a))))))))) <=> ((~![X0: $i, X1: $i, X2: $i] : ((~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X2, X1)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X1, X2)))))) | (~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X1, X2)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X2, X1)))))))) | (~((~(mult(mult(a, mult(mult(a, b), a)), c) = mult(a, mult(c, mult(mult(a, b), a))))) | (~(mult(mult(a, c), mult(mult(a, b), a)) = mult(a, mult(mult(mult(a, b), a), c)))))) | (~((~(mult(mult(a, mult(mult(a, b), a)), c) = mult(a, mult(mult(mult(a, b), a), c)))) | (~(mult(mult(a, c), mult(mult(a, b), a)) = mult(a, mult(c, mult(mult(a, b), a))))))))),
% 5.59/5.76 inference(rewrite,[status(thm)],[])).
% 5.59/5.76 tff(10791,plain,
% 5.59/5.76 ((~![X0: $i, X1: $i, X2: $i] : ((~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X2, X1)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X1, X2)))))) | (~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X1, X2)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X2, X1)))))))) | ((~((~(mult(mult(a, mult(mult(a, b), a)), c) = mult(a, mult(c, mult(mult(a, b), a))))) | (~(mult(mult(a, c), mult(mult(a, b), a)) = mult(a, mult(mult(mult(a, b), a), c)))))) | (~((~(mult(mult(a, mult(mult(a, b), a)), c) = mult(a, mult(mult(mult(a, b), a), c)))) | (~(mult(mult(a, c), mult(mult(a, b), a)) = mult(a, mult(c, mult(mult(a, b), a))))))))),
% 5.59/5.76 inference(quant_inst,[status(thm)],[])).
% 5.59/5.76 tff(10792,plain,
% 5.59/5.76 ((~![X0: $i, X1: $i, X2: $i] : ((~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X2, X1)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X1, X2)))))) | (~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X1, X2)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X2, X1)))))))) | (~((~(mult(mult(a, mult(mult(a, b), a)), c) = mult(a, mult(c, mult(mult(a, b), a))))) | (~(mult(mult(a, c), mult(mult(a, b), a)) = mult(a, mult(mult(mult(a, b), a), c)))))) | (~((~(mult(mult(a, mult(mult(a, b), a)), c) = mult(a, mult(mult(mult(a, b), a), c)))) | (~(mult(mult(a, c), mult(mult(a, b), a)) = mult(a, mult(c, mult(mult(a, b), a)))))))),
% 5.59/5.76 inference(modus_ponens,[status(thm)],[10791, 10790])).
% 5.59/5.76 tff(10793,plain,
% 5.59/5.76 ((~((~(mult(mult(a, mult(mult(a, b), a)), c) = mult(a, mult(c, mult(mult(a, b), a))))) | (~(mult(mult(a, c), mult(mult(a, b), a)) = mult(a, mult(mult(mult(a, b), a), c)))))) | (~((~(mult(mult(a, mult(mult(a, b), a)), c) = mult(a, mult(mult(mult(a, b), a), c)))) | (~(mult(mult(a, c), mult(mult(a, b), a)) = mult(a, mult(c, mult(mult(a, b), a)))))))),
% 5.59/5.76 inference(unit_resolution,[status(thm)],[10792, 30])).
% 5.59/5.76 tff(10794,plain,
% 5.59/5.76 (~((~(mult(mult(a, mult(mult(a, b), a)), c) = mult(a, mult(c, mult(mult(a, b), a))))) | (~(mult(mult(a, c), mult(mult(a, b), a)) = mult(a, mult(mult(mult(a, b), a), c)))))),
% 5.59/5.76 inference(unit_resolution,[status(thm)],[10793, 10789])).
% 5.59/5.76 tff(10795,plain,
% 5.59/5.76 (((~(mult(mult(a, mult(mult(a, b), a)), c) = mult(a, mult(c, mult(mult(a, b), a))))) | (~(mult(mult(a, c), mult(mult(a, b), a)) = mult(a, mult(mult(mult(a, b), a), c))))) | (mult(mult(a, c), mult(mult(a, b), a)) = mult(a, mult(mult(mult(a, b), a), c)))),
% 5.59/5.76 inference(tautology,[status(thm)],[])).
% 5.59/5.76 tff(10796,plain,
% 5.59/5.76 (mult(mult(a, c), mult(mult(a, b), a)) = mult(a, mult(mult(mult(a, b), a), c))),
% 5.59/5.76 inference(unit_resolution,[status(thm)],[10795, 10794])).
% 5.59/5.76 tff(10797,plain,
% 5.59/5.76 (mult(a, mult(mult(mult(a, b), a), c)) = mult(mult(a, c), mult(mult(a, b), a))),
% 5.59/5.76 inference(symmetry,[status(thm)],[10796])).
% 5.59/5.76 tff(10798,plain,
% 5.59/5.76 (mult(mult(a, b), mult(c, a)) = mult(a, mult(b, mult(c, a)))),
% 5.59/5.76 inference(unit_resolution,[status(thm)],[196, 10754])).
% 5.59/5.76 tff(10799,plain,
% 5.59/5.76 ((mult(mult(mult(a, b), c), a) = mult(mult(a, b), mult(c, a))) <=> (mult(mult(mult(a, b), c), a) = mult(a, mult(b, mult(c, a))))),
% 5.59/5.76 inference(monotonicity,[status(thm)],[10798])).
% 5.59/5.76 tff(10800,plain,
% 5.59/5.76 ((mult(mult(mult(a, b), c), a) = mult(mult(a, b), mult(c, a))) <=> (mult(a, mult(b, mult(c, a))) = mult(mult(mult(a, b), c), a))),
% 5.59/5.76 inference(transitivity,[status(thm)],[10799, 15])).
% 5.59/5.76 tff(10801,plain,
% 5.59/5.76 ((mult(a, mult(b, mult(c, a))) = mult(mult(mult(a, b), c), a)) <=> (mult(mult(mult(a, b), c), a) = mult(mult(a, b), mult(c, a)))),
% 5.59/5.76 inference(symmetry,[status(thm)],[10800])).
% 5.59/5.76 tff(10802,plain,
% 5.59/5.76 ((~(mult(a, mult(b, mult(c, a))) = mult(mult(mult(a, b), c), a))) <=> (~(mult(mult(mult(a, b), c), a) = mult(mult(a, b), mult(c, a))))),
% 5.59/5.76 inference(monotonicity,[status(thm)],[10801])).
% 5.59/5.76 tff(10803,plain,
% 5.59/5.76 (~(mult(mult(mult(a, b), c), a) = mult(mult(a, b), mult(c, a)))),
% 5.59/5.76 inference(modus_ponens,[status(thm)],[194, 10802])).
% 5.59/5.76 tff(10804,plain,
% 5.59/5.76 ((~(mult(mult(mult(a, b), a), c) = mult(mult(a, b), mult(a, c)))) | (~(mult(mult(mult(a, b), c), a) = mult(mult(a, b), mult(c, a))))),
% 5.59/5.76 inference(unit_resolution,[status(thm)],[185, 10803])).
% 5.59/5.76 tff(10805,plain,
% 5.59/5.76 (~((~(mult(mult(mult(a, b), a), c) = mult(mult(a, b), mult(c, a)))) | (~(mult(mult(mult(a, b), c), a) = mult(mult(a, b), mult(a, c)))))),
% 5.59/5.76 inference(unit_resolution,[status(thm)],[183, 10804])).
% 5.59/5.76 tff(10806,plain,
% 5.59/5.76 (mult(mult(mult(a, b), a), c) = mult(mult(a, b), mult(c, a))),
% 5.59/5.76 inference(unit_resolution,[status(thm)],[1690, 10805])).
% 5.59/5.76 tff(10807,plain,
% 5.59/5.76 (mult(mult(a, b), mult(c, a)) = mult(mult(mult(a, b), a), c)),
% 5.59/5.76 inference(symmetry,[status(thm)],[10806])).
% 5.59/5.76 tff(10808,plain,
% 5.59/5.76 (mult(a, mult(b, mult(c, a))) = mult(mult(a, b), mult(c, a))),
% 5.59/5.76 inference(symmetry,[status(thm)],[10798])).
% 5.59/5.76 tff(10809,plain,
% 5.59/5.76 (mult(a, mult(b, mult(c, a))) = mult(mult(mult(a, b), a), c)),
% 5.59/5.76 inference(transitivity,[status(thm)],[10808, 10807])).
% 5.59/5.76 tff(10810,plain,
% 5.59/5.76 (mult(a, mult(a, mult(b, mult(c, a)))) = mult(a, mult(mult(mult(a, b), a), c))),
% 5.59/5.76 inference(monotonicity,[status(thm)],[10809])).
% 5.59/5.76 tff(10811,plain,
% 5.59/5.76 (mult(a, mult(a, mult(b, mult(c, a)))) = mult(a, mult(mult(a, c), mult(b, a)))),
% 5.59/5.76 inference(transitivity,[status(thm)],[10810, 10797, 1532, 10776, 10775, 10771, 10758])).
% 5.59/5.76 tff(10812,plain,
% 5.59/5.76 (ld(a, mult(a, mult(a, mult(b, mult(c, a))))) = ld(a, mult(a, mult(mult(a, c), mult(b, a))))),
% 5.59/5.76 inference(monotonicity,[status(thm)],[10811])).
% 5.59/5.76 tff(10813,plain,
% 5.59/5.76 (ld(a, mult(a, mult(mult(a, c), mult(b, a)))) = ld(a, mult(a, mult(a, mult(b, mult(c, a)))))),
% 5.59/5.76 inference(symmetry,[status(thm)],[10812])).
% 5.59/5.76 tff(10814,plain,
% 5.59/5.76 ((~![B: $i, A: $i] : (ld(A, mult(A, B)) = B)) | (ld(a, mult(a, mult(mult(a, c), mult(b, a)))) = mult(mult(a, c), mult(b, a)))),
% 5.59/5.76 inference(quant_inst,[status(thm)],[])).
% 5.59/5.76 tff(10815,plain,
% 5.59/5.76 (ld(a, mult(a, mult(mult(a, c), mult(b, a)))) = mult(mult(a, c), mult(b, a))),
% 5.59/5.76 inference(unit_resolution,[status(thm)],[10814, 9])).
% 5.59/5.76 tff(10816,plain,
% 5.59/5.76 (mult(mult(a, c), mult(b, a)) = ld(a, mult(a, mult(mult(a, c), mult(b, a))))),
% 5.59/5.76 inference(symmetry,[status(thm)],[10815])).
% 5.59/5.76 tff(10817,plain,
% 5.59/5.76 (mult(mult(a, c), mult(b, a)) = mult(a, mult(mult(b, a), c))),
% 5.59/5.76 inference(transitivity,[status(thm)],[10816, 10813, 10746, 3767])).
% 5.59/5.76 tff(10818,plain,
% 5.59/5.76 ($false),
% 5.59/5.76 inference(unit_resolution,[status(thm)],[2742, 10817])).
% 5.59/5.76 tff(10819,plain,((mult(mult(a, mult(mult(c, a), b)), a) = mult(a, mult(mult(mult(c, a), b), a))) | (mult(mult(a, c), mult(b, a)) = mult(a, mult(mult(b, a), c))) | (~(mult(mult(mult(a, c), a), b) = mult(mult(a, c), mult(b, a)))) | (~(mult(mult(b, mult(c, a)), a) = mult(b, mult(a, mult(c, a))))) | (~(mult(mult(b, a), c) = mult(b, mult(c, a))))), inference(lemma,lemma(discharge,[]))).
% 5.59/5.76 tff(10820,plain,
% 5.59/5.76 ((mult(mult(a, mult(mult(c, a), b)), a) = mult(a, mult(mult(mult(c, a), b), a))) | (mult(mult(a, c), mult(b, a)) = mult(a, mult(mult(b, a), c))) | (~(mult(mult(mult(a, c), a), b) = mult(mult(a, c), mult(b, a)))) | (~(mult(mult(b, mult(c, a)), a) = mult(b, mult(a, mult(c, a)))))),
% 5.59/5.76 inference(unit_resolution,[status(thm)],[10819, 3427])).
% 5.59/5.76 tff(10821,plain,
% 5.59/5.76 ((mult(mult(a, mult(mult(c, a), b)), a) = mult(a, mult(mult(mult(c, a), b), a))) | (mult(mult(a, c), mult(b, a)) = mult(a, mult(mult(b, a), c))) | (~(mult(mult(mult(a, c), a), b) = mult(mult(a, c), mult(b, a))))),
% 5.59/5.76 inference(unit_resolution,[status(thm)],[10820, 4679])).
% 5.59/5.76 tff(10822,plain,
% 5.59/5.76 (mult(mult(a, mult(mult(c, a), b)), a) = mult(a, mult(mult(mult(c, a), b), a))),
% 5.59/5.76 inference(unit_resolution,[status(thm)],[10821, 10744, 10730])).
% 5.59/5.76 tff(10823,plain,
% 5.59/5.76 (mult(mult(a, c), mult(b, a)) = mult(a, mult(mult(c, a), b))),
% 5.59/5.76 inference(transitivity,[status(thm)],[368, 2096])).
% 5.59/5.76 tff(10824,plain,
% 5.59/5.76 (mult(mult(mult(a, c), mult(b, a)), a) = mult(mult(a, mult(mult(c, a), b)), a)),
% 5.59/5.76 inference(monotonicity,[status(thm)],[10823])).
% 5.59/5.76 tff(10825,assumption,(mult(mult(mult(a, c), mult(b, a)), a) = mult(mult(a, c), mult(a, mult(b, a)))), introduced(assumption)).
% 5.59/5.76 tff(10826,plain,
% 5.59/5.76 (mult(mult(a, c), mult(a, mult(b, a))) = mult(mult(mult(a, c), mult(b, a)), a)),
% 5.59/5.76 inference(symmetry,[status(thm)],[10825])).
% 5.59/5.76 tff(10827,plain,
% 5.59/5.76 (mult(mult(a, c), mult(mult(a, b), a)) = mult(mult(a, c), mult(a, mult(b, a)))),
% 5.59/5.76 inference(monotonicity,[status(thm)],[4193])).
% 5.59/5.76 tff(10828,plain,
% 5.59/5.76 (mult(mult(a, c), mult(mult(a, b), a)) = mult(mult(a, mult(mult(c, a), b)), a)),
% 5.59/5.76 inference(transitivity,[status(thm)],[10827, 10826, 10824])).
% 5.59/5.76 tff(10829,plain,
% 5.59/5.76 ((mult(mult(a, c), mult(mult(a, b), a)) = mult(a, mult(c, mult(mult(a, b), a)))) <=> (mult(mult(a, mult(mult(c, a), b)), a) = mult(a, mult(mult(mult(c, a), b), a)))),
% 5.59/5.76 inference(monotonicity,[status(thm)],[10828, 10777])).
% 5.59/5.76 tff(10830,plain,
% 5.59/5.76 ((mult(mult(a, mult(mult(c, a), b)), a) = mult(a, mult(mult(mult(c, a), b), a))) <=> (mult(mult(a, c), mult(mult(a, b), a)) = mult(a, mult(c, mult(mult(a, b), a))))),
% 5.59/5.76 inference(symmetry,[status(thm)],[10829])).
% 5.59/5.76 tff(10831,assumption,(mult(mult(a, mult(mult(c, a), b)), a) = mult(a, mult(mult(mult(c, a), b), a))), introduced(assumption)).
% 5.59/5.76 tff(10832,plain,
% 5.59/5.76 (mult(mult(a, c), mult(mult(a, b), a)) = mult(a, mult(c, mult(mult(a, b), a)))),
% 5.59/5.76 inference(modus_ponens,[status(thm)],[10831, 10830])).
% 5.59/5.76 tff(10833,assumption,(~(mult(mult(a, c), mult(mult(a, b), a)) = mult(a, mult(c, mult(mult(a, b), a))))), introduced(assumption)).
% 5.59/5.76 tff(10834,plain,
% 5.59/5.76 ($false),
% 5.59/5.76 inference(unit_resolution,[status(thm)],[10833, 10832])).
% 5.59/5.76 tff(10835,plain,((~(mult(mult(mult(a, c), mult(b, a)), a) = mult(mult(a, c), mult(a, mult(b, a))))) | (mult(mult(a, c), mult(mult(a, b), a)) = mult(a, mult(c, mult(mult(a, b), a)))) | (~(mult(mult(a, mult(mult(c, a), b)), a) = mult(a, mult(mult(mult(c, a), b), a)))) | (~(mult(mult(a, c), mult(b, a)) = mult(a, mult(c, mult(b, a))))) | (~(mult(mult(c, a), b) = mult(c, mult(b, a))))), inference(lemma,lemma(discharge,[]))).
% 5.59/5.76 tff(10836,plain,
% 5.59/5.76 (mult(mult(a, c), mult(mult(a, b), a)) = mult(a, mult(c, mult(mult(a, b), a)))),
% 5.59/5.76 inference(unit_resolution,[status(thm)],[10835, 10822, 10737, 10728, 342])).
% 5.59/5.76 tff(10837,assumption,(~(mult(mult(a, mult(mult(a, b), a)), c) = mult(a, mult(mult(mult(a, b), a), c)))), introduced(assumption)).
% 5.59/5.76 tff(10838,plain,
% 5.59/5.76 ((mult(a, mult(c, mult(mult(a, b), a))) = mult(mult(a, c), mult(mult(a, b), a))) <=> (mult(mult(a, c), mult(mult(a, b), a)) = mult(a, mult(c, mult(mult(a, b), a))))),
% 5.59/5.76 inference(commutativity,[status(thm)],[])).
% 5.59/5.76 tff(10839,assumption,(~((~(mult(mult(a, mult(mult(a, b), a)), c) = mult(a, mult(c, mult(mult(a, b), a))))) | (~(mult(mult(a, c), mult(mult(a, b), a)) = mult(a, mult(mult(mult(a, b), a), c)))))), introduced(assumption)).
% 5.59/5.76 tff(10840,plain,
% 5.59/5.76 (mult(mult(a, c), mult(mult(a, b), a)) = mult(a, mult(mult(mult(a, b), a), c))),
% 5.59/5.76 inference(unit_resolution,[status(thm)],[10795, 10839])).
% 5.59/5.76 tff(10841,plain,
% 5.59/5.76 (mult(a, mult(mult(mult(a, b), a), c)) = mult(mult(a, c), mult(mult(a, b), a))),
% 5.59/5.76 inference(symmetry,[status(thm)],[10840])).
% 5.59/5.76 tff(10842,plain,
% 5.59/5.76 (((~(mult(mult(a, mult(mult(a, b), a)), c) = mult(a, mult(c, mult(mult(a, b), a))))) | (~(mult(mult(a, c), mult(mult(a, b), a)) = mult(a, mult(mult(mult(a, b), a), c))))) | (mult(mult(a, mult(mult(a, b), a)), c) = mult(a, mult(c, mult(mult(a, b), a))))),
% 5.59/5.76 inference(tautology,[status(thm)],[])).
% 5.59/5.76 tff(10843,plain,
% 5.59/5.76 (mult(mult(a, mult(mult(a, b), a)), c) = mult(a, mult(c, mult(mult(a, b), a)))),
% 5.59/5.76 inference(unit_resolution,[status(thm)],[10842, 10839])).
% 5.59/5.76 tff(10844,plain,
% 5.59/5.76 ((mult(mult(a, mult(mult(a, b), a)), c) = mult(a, mult(mult(mult(a, b), a), c))) <=> (mult(a, mult(c, mult(mult(a, b), a))) = mult(mult(a, c), mult(mult(a, b), a)))),
% 5.59/5.76 inference(monotonicity,[status(thm)],[10843, 10841])).
% 5.59/5.76 tff(10845,plain,
% 5.59/5.76 ((mult(mult(a, mult(mult(a, b), a)), c) = mult(a, mult(mult(mult(a, b), a), c))) <=> (mult(mult(a, c), mult(mult(a, b), a)) = mult(a, mult(c, mult(mult(a, b), a))))),
% 5.59/5.76 inference(transitivity,[status(thm)],[10844, 10838])).
% 5.59/5.76 tff(10846,plain,
% 5.59/5.76 ((mult(mult(a, c), mult(mult(a, b), a)) = mult(a, mult(c, mult(mult(a, b), a)))) <=> (mult(mult(a, mult(mult(a, b), a)), c) = mult(a, mult(mult(mult(a, b), a), c)))),
% 5.59/5.76 inference(symmetry,[status(thm)],[10845])).
% 5.59/5.76 tff(10847,plain,
% 5.59/5.76 (mult(mult(a, mult(mult(a, b), a)), c) = mult(a, mult(mult(mult(a, b), a), c))),
% 5.59/5.76 inference(modus_ponens,[status(thm)],[10783, 10846])).
% 5.59/5.76 tff(10848,plain,
% 5.59/5.76 ($false),
% 5.59/5.76 inference(unit_resolution,[status(thm)],[10837, 10847])).
% 5.59/5.76 tff(10849,plain,(((~(mult(mult(a, mult(mult(a, b), a)), c) = mult(a, mult(c, mult(mult(a, b), a))))) | (~(mult(mult(a, c), mult(mult(a, b), a)) = mult(a, mult(mult(mult(a, b), a), c))))) | (mult(mult(a, mult(mult(a, b), a)), c) = mult(a, mult(mult(mult(a, b), a), c))) | (~(mult(mult(a, c), mult(mult(a, b), a)) = mult(a, mult(c, mult(mult(a, b), a)))))), inference(lemma,lemma(discharge,[]))).
% 5.59/5.76 tff(10850,plain,
% 5.59/5.76 ((~(mult(mult(a, mult(mult(a, b), a)), c) = mult(a, mult(c, mult(mult(a, b), a))))) | (~(mult(mult(a, c), mult(mult(a, b), a)) = mult(a, mult(mult(mult(a, b), a), c))))),
% 5.59/5.76 inference(unit_resolution,[status(thm)],[10849, 10837, 10783])).
% 5.59/5.76 tff(10851,plain,
% 5.59/5.76 (((~(mult(mult(a, mult(mult(a, b), a)), c) = mult(a, mult(mult(mult(a, b), a), c)))) | (~(mult(mult(a, c), mult(mult(a, b), a)) = mult(a, mult(c, mult(mult(a, b), a)))))) | (mult(mult(a, mult(mult(a, b), a)), c) = mult(a, mult(mult(mult(a, b), a), c)))),
% 5.59/5.76 inference(tautology,[status(thm)],[])).
% 5.59/5.76 tff(10852,plain,
% 5.59/5.76 ((~(mult(mult(a, mult(mult(a, b), a)), c) = mult(a, mult(mult(mult(a, b), a), c)))) | (~(mult(mult(a, c), mult(mult(a, b), a)) = mult(a, mult(c, mult(mult(a, b), a)))))),
% 5.59/5.76 inference(unit_resolution,[status(thm)],[10851, 10837])).
% 5.59/5.76 tff(10853,assumption,((~(mult(mult(a, mult(mult(a, b), a)), c) = mult(a, mult(mult(mult(a, b), a), c)))) | (~(mult(mult(a, c), mult(mult(a, b), a)) = mult(a, mult(c, mult(mult(a, b), a)))))), introduced(assumption)).
% 5.59/5.76 tff(10854,assumption,((~(mult(mult(a, mult(mult(a, b), a)), c) = mult(a, mult(c, mult(mult(a, b), a))))) | (~(mult(mult(a, c), mult(mult(a, b), a)) = mult(a, mult(mult(mult(a, b), a), c))))), introduced(assumption)).
% 5.59/5.76 tff(10855,plain,
% 5.59/5.76 ($false),
% 5.59/5.76 inference(unit_resolution,[status(thm)],[10792, 30, 10854, 10853])).
% 5.59/5.76 tff(10856,plain,((~((~(mult(mult(a, mult(mult(a, b), a)), c) = mult(a, mult(mult(mult(a, b), a), c)))) | (~(mult(mult(a, c), mult(mult(a, b), a)) = mult(a, mult(c, mult(mult(a, b), a))))))) | (~((~(mult(mult(a, mult(mult(a, b), a)), c) = mult(a, mult(c, mult(mult(a, b), a))))) | (~(mult(mult(a, c), mult(mult(a, b), a)) = mult(a, mult(mult(mult(a, b), a), c))))))), inference(lemma,lemma(discharge,[]))).
% 5.59/5.76 tff(10857,plain,
% 5.59/5.76 ($false),
% 5.59/5.76 inference(unit_resolution,[status(thm)],[10856, 10852, 10850])).
% 5.59/5.76 tff(10858,plain,((mult(mult(a, mult(mult(a, b), a)), c) = mult(a, mult(mult(mult(a, b), a), c))) | (~(mult(mult(a, c), mult(mult(a, b), a)) = mult(a, mult(c, mult(mult(a, b), a)))))), inference(lemma,lemma(discharge,[]))).
% 5.59/5.76 tff(10859,plain,
% 5.59/5.76 (mult(mult(a, mult(mult(a, b), a)), c) = mult(a, mult(mult(mult(a, b), a), c))),
% 5.59/5.76 inference(unit_resolution,[status(thm)],[10858, 10836])).
% 5.59/5.76 tff(10860,plain,
% 5.59/5.76 (mult(mult(mult(c, a), b), a) = mult(mult(c, a), mult(a, b))),
% 5.59/5.76 inference(unit_resolution,[status(thm)],[9065, 6056])).
% 5.59/5.76 tff(10861,plain,
% 5.59/5.76 (mult(mult(c, a), mult(a, b)) = mult(mult(mult(c, a), b), a)),
% 5.59/5.77 inference(symmetry,[status(thm)],[9876])).
% 5.59/5.77 tff(10862,plain,
% 5.59/5.77 (mult(a, mult(mult(c, a), mult(a, b))) = mult(a, mult(mult(mult(c, a), b), a))),
% 5.59/5.77 inference(monotonicity,[status(thm)],[10861])).
% 5.59/5.77 tff(10863,plain,
% 5.59/5.77 (mult(a, mult(mult(mult(c, a), b), a)) = mult(a, mult(mult(c, a), mult(a, b)))),
% 5.59/5.77 inference(symmetry,[status(thm)],[10862])).
% 5.59/5.77 tff(10864,assumption,(mult(mult(mult(a, c), a), mult(a, b)) = mult(mult(a, c), mult(mult(a, b), a))), introduced(assumption)).
% 5.59/5.77 tff(10865,plain,
% 5.59/5.77 (mult(mult(a, mult(c, a)), mult(a, b)) = mult(mult(mult(a, c), a), mult(a, b))),
% 5.59/5.77 inference(monotonicity,[status(thm)],[3781])).
% 5.59/5.77 tff(10866,assumption,(~(mult(mult(a, mult(a, b)), mult(c, a)) = mult(a, mult(mult(a, b), mult(c, a))))), introduced(assumption)).
% 5.59/5.77 tff(10867,plain,
% 5.59/5.77 (((~(mult(mult(a, mult(a, b)), mult(c, a)) = mult(a, mult(mult(a, b), mult(c, a))))) | (~(mult(mult(a, mult(c, a)), mult(a, b)) = mult(a, mult(mult(c, a), mult(a, b)))))) | (mult(mult(a, mult(a, b)), mult(c, a)) = mult(a, mult(mult(a, b), mult(c, a))))),
% 5.59/5.77 inference(tautology,[status(thm)],[])).
% 5.59/5.77 tff(10868,plain,
% 5.59/5.77 ((~(mult(mult(a, mult(a, b)), mult(c, a)) = mult(a, mult(mult(a, b), mult(c, a))))) | (~(mult(mult(a, mult(c, a)), mult(a, b)) = mult(a, mult(mult(c, a), mult(a, b)))))),
% 5.59/5.77 inference(unit_resolution,[status(thm)],[10867, 10866])).
% 5.59/5.77 tff(10869,plain,
% 5.59/5.77 (((~![X0: $i, X1: $i, X2: $i] : ((~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X2, X1)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X1, X2)))))) | (~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X1, X2)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X2, X1)))))))) | ((~((~(mult(mult(a, mult(a, b)), mult(c, a)) = mult(a, mult(mult(a, b), mult(c, a))))) | (~(mult(mult(a, mult(c, a)), mult(a, b)) = mult(a, mult(mult(c, a), mult(a, b))))))) | (~((~(mult(mult(a, mult(a, b)), mult(c, a)) = mult(a, mult(mult(c, a), mult(a, b))))) | (~(mult(mult(a, mult(c, a)), mult(a, b)) = mult(a, mult(mult(a, b), mult(c, a))))))))) <=> ((~![X0: $i, X1: $i, X2: $i] : ((~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X2, X1)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X1, X2)))))) | (~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X1, X2)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X2, X1)))))))) | (~((~(mult(mult(a, mult(a, b)), mult(c, a)) = mult(a, mult(mult(a, b), mult(c, a))))) | (~(mult(mult(a, mult(c, a)), mult(a, b)) = mult(a, mult(mult(c, a), mult(a, b))))))) | (~((~(mult(mult(a, mult(a, b)), mult(c, a)) = mult(a, mult(mult(c, a), mult(a, b))))) | (~(mult(mult(a, mult(c, a)), mult(a, b)) = mult(a, mult(mult(a, b), mult(c, a))))))))),
% 5.59/5.77 inference(rewrite,[status(thm)],[])).
% 5.59/5.77 tff(10870,plain,
% 5.59/5.77 (((~((~(mult(mult(a, mult(a, b)), mult(c, a)) = mult(a, mult(mult(c, a), mult(a, b))))) | (~(mult(mult(a, mult(c, a)), mult(a, b)) = mult(a, mult(mult(a, b), mult(c, a))))))) | (~((~(mult(mult(a, mult(a, b)), mult(c, a)) = mult(a, mult(mult(a, b), mult(c, a))))) | (~(mult(mult(a, mult(c, a)), mult(a, b)) = mult(a, mult(mult(c, a), mult(a, b)))))))) <=> ((~((~(mult(mult(a, mult(a, b)), mult(c, a)) = mult(a, mult(mult(a, b), mult(c, a))))) | (~(mult(mult(a, mult(c, a)), mult(a, b)) = mult(a, mult(mult(c, a), mult(a, b))))))) | (~((~(mult(mult(a, mult(a, b)), mult(c, a)) = mult(a, mult(mult(c, a), mult(a, b))))) | (~(mult(mult(a, mult(c, a)), mult(a, b)) = mult(a, mult(mult(a, b), mult(c, a))))))))),
% 5.59/5.77 inference(rewrite,[status(thm)],[])).
% 5.59/5.77 tff(10871,plain,
% 5.59/5.77 (((~![X0: $i, X1: $i, X2: $i] : ((~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X2, X1)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X1, X2)))))) | (~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X1, X2)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X2, X1)))))))) | ((~((~(mult(mult(a, mult(a, b)), mult(c, a)) = mult(a, mult(mult(c, a), mult(a, b))))) | (~(mult(mult(a, mult(c, a)), mult(a, b)) = mult(a, mult(mult(a, b), mult(c, a))))))) | (~((~(mult(mult(a, mult(a, b)), mult(c, a)) = mult(a, mult(mult(a, b), mult(c, a))))) | (~(mult(mult(a, mult(c, a)), mult(a, b)) = mult(a, mult(mult(c, a), mult(a, b))))))))) <=> ((~![X0: $i, X1: $i, X2: $i] : ((~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X2, X1)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X1, X2)))))) | (~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X1, X2)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X2, X1)))))))) | ((~((~(mult(mult(a, mult(a, b)), mult(c, a)) = mult(a, mult(mult(a, b), mult(c, a))))) | (~(mult(mult(a, mult(c, a)), mult(a, b)) = mult(a, mult(mult(c, a), mult(a, b))))))) | (~((~(mult(mult(a, mult(a, b)), mult(c, a)) = mult(a, mult(mult(c, a), mult(a, b))))) | (~(mult(mult(a, mult(c, a)), mult(a, b)) = mult(a, mult(mult(a, b), mult(c, a)))))))))),
% 5.59/5.77 inference(monotonicity,[status(thm)],[10870])).
% 5.59/5.77 tff(10872,plain,
% 5.59/5.77 (((~![X0: $i, X1: $i, X2: $i] : ((~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X2, X1)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X1, X2)))))) | (~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X1, X2)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X2, X1)))))))) | ((~((~(mult(mult(a, mult(a, b)), mult(c, a)) = mult(a, mult(mult(c, a), mult(a, b))))) | (~(mult(mult(a, mult(c, a)), mult(a, b)) = mult(a, mult(mult(a, b), mult(c, a))))))) | (~((~(mult(mult(a, mult(a, b)), mult(c, a)) = mult(a, mult(mult(a, b), mult(c, a))))) | (~(mult(mult(a, mult(c, a)), mult(a, b)) = mult(a, mult(mult(c, a), mult(a, b))))))))) <=> ((~![X0: $i, X1: $i, X2: $i] : ((~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X2, X1)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X1, X2)))))) | (~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X1, X2)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X2, X1)))))))) | (~((~(mult(mult(a, mult(a, b)), mult(c, a)) = mult(a, mult(mult(a, b), mult(c, a))))) | (~(mult(mult(a, mult(c, a)), mult(a, b)) = mult(a, mult(mult(c, a), mult(a, b))))))) | (~((~(mult(mult(a, mult(a, b)), mult(c, a)) = mult(a, mult(mult(c, a), mult(a, b))))) | (~(mult(mult(a, mult(c, a)), mult(a, b)) = mult(a, mult(mult(a, b), mult(c, a))))))))),
% 5.59/5.77 inference(transitivity,[status(thm)],[10871, 10869])).
% 5.59/5.77 tff(10873,plain,
% 5.59/5.77 ((~![X0: $i, X1: $i, X2: $i] : ((~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X2, X1)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X1, X2)))))) | (~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X1, X2)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X2, X1)))))))) | ((~((~(mult(mult(a, mult(a, b)), mult(c, a)) = mult(a, mult(mult(c, a), mult(a, b))))) | (~(mult(mult(a, mult(c, a)), mult(a, b)) = mult(a, mult(mult(a, b), mult(c, a))))))) | (~((~(mult(mult(a, mult(a, b)), mult(c, a)) = mult(a, mult(mult(a, b), mult(c, a))))) | (~(mult(mult(a, mult(c, a)), mult(a, b)) = mult(a, mult(mult(c, a), mult(a, b))))))))),
% 5.59/5.77 inference(quant_inst,[status(thm)],[])).
% 5.59/5.77 tff(10874,plain,
% 5.59/5.77 ((~![X0: $i, X1: $i, X2: $i] : ((~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X2, X1)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X1, X2)))))) | (~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X1, X2)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X2, X1)))))))) | (~((~(mult(mult(a, mult(a, b)), mult(c, a)) = mult(a, mult(mult(a, b), mult(c, a))))) | (~(mult(mult(a, mult(c, a)), mult(a, b)) = mult(a, mult(mult(c, a), mult(a, b))))))) | (~((~(mult(mult(a, mult(a, b)), mult(c, a)) = mult(a, mult(mult(c, a), mult(a, b))))) | (~(mult(mult(a, mult(c, a)), mult(a, b)) = mult(a, mult(mult(a, b), mult(c, a)))))))),
% 5.59/5.77 inference(modus_ponens,[status(thm)],[10873, 10872])).
% 5.59/5.77 tff(10875,plain,
% 5.59/5.77 ((~((~(mult(mult(a, mult(a, b)), mult(c, a)) = mult(a, mult(mult(a, b), mult(c, a))))) | (~(mult(mult(a, mult(c, a)), mult(a, b)) = mult(a, mult(mult(c, a), mult(a, b))))))) | (~((~(mult(mult(a, mult(a, b)), mult(c, a)) = mult(a, mult(mult(c, a), mult(a, b))))) | (~(mult(mult(a, mult(c, a)), mult(a, b)) = mult(a, mult(mult(a, b), mult(c, a)))))))),
% 5.59/5.77 inference(unit_resolution,[status(thm)],[10874, 30])).
% 5.59/5.77 tff(10876,plain,
% 5.59/5.77 (~((~(mult(mult(a, mult(a, b)), mult(c, a)) = mult(a, mult(mult(c, a), mult(a, b))))) | (~(mult(mult(a, mult(c, a)), mult(a, b)) = mult(a, mult(mult(a, b), mult(c, a))))))),
% 5.59/5.77 inference(unit_resolution,[status(thm)],[10875, 10868])).
% 5.59/5.77 tff(10877,plain,
% 5.59/5.77 (((~(mult(mult(a, mult(a, b)), mult(c, a)) = mult(a, mult(mult(c, a), mult(a, b))))) | (~(mult(mult(a, mult(c, a)), mult(a, b)) = mult(a, mult(mult(a, b), mult(c, a)))))) | (mult(mult(a, mult(c, a)), mult(a, b)) = mult(a, mult(mult(a, b), mult(c, a))))),
% 5.59/5.77 inference(tautology,[status(thm)],[])).
% 5.59/5.77 tff(10878,plain,
% 5.59/5.77 (mult(mult(a, mult(c, a)), mult(a, b)) = mult(a, mult(mult(a, b), mult(c, a)))),
% 5.59/5.77 inference(unit_resolution,[status(thm)],[10877, 10876])).
% 5.59/5.77 tff(10879,plain,
% 5.59/5.77 (mult(a, mult(mult(a, b), mult(c, a))) = mult(mult(a, mult(c, a)), mult(a, b))),
% 5.59/5.77 inference(symmetry,[status(thm)],[10878])).
% 5.59/5.77 tff(10880,plain,
% 5.59/5.77 (mult(a, mult(mult(a, b), mult(c, a))) = mult(a, mult(mult(c, a), mult(a, b)))),
% 5.59/5.77 inference(transitivity,[status(thm)],[10879, 10865, 10864, 1532, 6997, 10780, 10831, 10863])).
% 5.59/5.77 tff(10881,plain,
% 5.59/5.77 ((mult(mult(a, mult(a, b)), mult(c, a)) = mult(a, mult(mult(a, b), mult(c, a)))) <=> (mult(mult(a, mult(a, b)), mult(c, a)) = mult(a, mult(mult(c, a), mult(a, b))))),
% 5.59/5.77 inference(monotonicity,[status(thm)],[10880])).
% 5.59/5.77 tff(10882,plain,
% 5.59/5.77 ((mult(mult(a, mult(a, b)), mult(c, a)) = mult(a, mult(mult(c, a), mult(a, b)))) <=> (mult(mult(a, mult(a, b)), mult(c, a)) = mult(a, mult(mult(a, b), mult(c, a))))),
% 5.59/5.77 inference(symmetry,[status(thm)],[10881])).
% 5.59/5.77 tff(10883,plain,
% 5.59/5.77 (((~(mult(mult(a, mult(a, b)), mult(c, a)) = mult(a, mult(mult(c, a), mult(a, b))))) | (~(mult(mult(a, mult(c, a)), mult(a, b)) = mult(a, mult(mult(a, b), mult(c, a)))))) | (mult(mult(a, mult(a, b)), mult(c, a)) = mult(a, mult(mult(c, a), mult(a, b))))),
% 5.59/5.77 inference(tautology,[status(thm)],[])).
% 5.59/5.77 tff(10884,plain,
% 5.59/5.77 (mult(mult(a, mult(a, b)), mult(c, a)) = mult(a, mult(mult(c, a), mult(a, b)))),
% 5.59/5.77 inference(unit_resolution,[status(thm)],[10883, 10876])).
% 5.59/5.77 tff(10885,plain,
% 5.59/5.77 (mult(mult(a, mult(a, b)), mult(c, a)) = mult(a, mult(mult(a, b), mult(c, a)))),
% 5.59/5.77 inference(modus_ponens,[status(thm)],[10884, 10882])).
% 5.59/5.77 tff(10886,plain,
% 5.59/5.77 ($false),
% 5.59/5.77 inference(unit_resolution,[status(thm)],[10866, 10885])).
% 5.59/5.77 tff(10887,plain,((mult(mult(a, mult(a, b)), mult(c, a)) = mult(a, mult(mult(a, b), mult(c, a)))) | (~(mult(mult(mult(a, c), a), mult(a, b)) = mult(mult(a, c), mult(mult(a, b), a)))) | (~(mult(mult(a, mult(mult(c, a), b)), a) = mult(a, mult(mult(mult(c, a), b), a)))) | (~(mult(mult(mult(a, c), a), b) = mult(mult(a, c), mult(b, a)))) | (~(mult(mult(a, mult(c, a)), b) = mult(a, mult(mult(c, a), b)))) | (~(mult(mult(mult(c, a), b), a) = mult(mult(c, a), mult(a, b)))) | (~(mult(mult(b, mult(c, a)), a) = mult(b, mult(a, mult(c, a))))) | (~(mult(mult(b, a), c) = mult(b, mult(c, a))))), inference(lemma,lemma(discharge,[]))).
% 5.59/5.77 tff(10888,plain,
% 5.59/5.77 ((mult(mult(a, mult(a, b)), mult(c, a)) = mult(a, mult(mult(a, b), mult(c, a)))) | (~(mult(mult(mult(a, c), a), mult(a, b)) = mult(mult(a, c), mult(mult(a, b), a)))) | (~(mult(mult(a, mult(mult(c, a), b)), a) = mult(a, mult(mult(mult(c, a), b), a)))) | (~(mult(mult(mult(a, c), a), b) = mult(mult(a, c), mult(b, a)))) | (~(mult(mult(a, mult(c, a)), b) = mult(a, mult(mult(c, a), b)))) | (~(mult(mult(mult(c, a), b), a) = mult(mult(c, a), mult(a, b)))) | (~(mult(mult(b, mult(c, a)), a) = mult(b, mult(a, mult(c, a)))))),
% 5.59/5.77 inference(unit_resolution,[status(thm)],[10887, 3427])).
% 5.59/5.77 tff(10889,plain,
% 5.59/5.77 ((mult(mult(a, mult(a, b)), mult(c, a)) = mult(a, mult(mult(a, b), mult(c, a)))) | (~(mult(mult(mult(a, c), a), mult(a, b)) = mult(mult(a, c), mult(mult(a, b), a)))) | (~(mult(mult(a, mult(mult(c, a), b)), a) = mult(a, mult(mult(mult(c, a), b), a)))) | (~(mult(mult(mult(a, c), a), b) = mult(mult(a, c), mult(b, a)))) | (~(mult(mult(a, mult(c, a)), b) = mult(a, mult(mult(c, a), b)))) | (~(mult(mult(mult(c, a), b), a) = mult(mult(c, a), mult(a, b))))),
% 5.59/5.77 inference(unit_resolution,[status(thm)],[10888, 4679])).
% 5.59/5.77 tff(10890,plain,
% 5.59/5.77 (mult(mult(a, mult(a, b)), mult(c, a)) = mult(a, mult(mult(a, b), mult(c, a)))),
% 5.59/5.77 inference(unit_resolution,[status(thm)],[10889, 6854, 10730, 742, 10860, 10822])).
% 5.59/5.77 tff(10891,plain,
% 5.59/5.77 ((mult(a, mult(mult(a, b), mult(c, a))) = mult(mult(a, mult(a, b)), mult(c, a))) <=> (mult(mult(a, mult(a, b)), mult(c, a)) = mult(a, mult(mult(a, b), mult(c, a))))),
% 5.59/5.77 inference(commutativity,[status(thm)],[])).
% 5.59/5.77 tff(10892,plain,
% 5.59/5.77 (mult(mult(a, mult(a, b)), mult(c, a)) = mult(mult(mult(a, a), b), mult(c, a))),
% 5.59/5.77 inference(monotonicity,[status(thm)],[6193])).
% 5.59/5.77 tff(10893,plain,
% 5.59/5.77 (mult(mult(mult(a, a), b), mult(c, a)) = mult(mult(a, mult(a, b)), mult(c, a))),
% 5.59/5.77 inference(symmetry,[status(thm)],[10892])).
% 5.59/5.77 tff(10894,plain,
% 5.59/5.77 (mult(a, mult(mult(a, b), mult(c, a))) = mult(a, mult(mult(mult(a, b), a), c))),
% 5.59/5.77 inference(monotonicity,[status(thm)],[2432])).
% 5.59/5.77 tff(10895,plain,
% 5.59/5.77 (mult(a, mult(mult(mult(a, b), a), c)) = mult(a, mult(mult(a, b), mult(c, a)))),
% 5.59/5.77 inference(symmetry,[status(thm)],[10894])).
% 5.59/5.77 tff(10896,assumption,(mult(mult(a, mult(mult(a, b), a)), c) = mult(a, mult(mult(mult(a, b), a), c))), introduced(assumption)).
% 5.59/5.77 tff(10897,assumption,(mult(mult(mult(a, a), b), a) = mult(a, mult(mult(a, b), a))), introduced(assumption)).
% 5.59/5.77 tff(10898,plain,
% 5.59/5.77 (mult(mult(mult(mult(a, a), b), a), c) = mult(mult(a, mult(mult(a, b), a)), c)),
% 5.59/5.77 inference(monotonicity,[status(thm)],[10897])).
% 5.59/5.77 tff(10899,plain,
% 5.59/5.77 (mult(mult(mult(mult(a, a), b), a), c) = mult(a, mult(mult(a, b), mult(c, a)))),
% 5.59/5.77 inference(transitivity,[status(thm)],[10898, 10896, 10895])).
% 5.59/5.77 tff(10900,plain,
% 5.59/5.77 ((mult(mult(mult(mult(a, a), b), a), c) = mult(mult(mult(a, a), b), mult(c, a))) <=> (mult(a, mult(mult(a, b), mult(c, a))) = mult(mult(a, mult(a, b)), mult(c, a)))),
% 5.59/5.77 inference(monotonicity,[status(thm)],[10899, 10893])).
% 5.59/5.77 tff(10901,plain,
% 5.59/5.77 ((mult(mult(mult(mult(a, a), b), a), c) = mult(mult(mult(a, a), b), mult(c, a))) <=> (mult(mult(a, mult(a, b)), mult(c, a)) = mult(a, mult(mult(a, b), mult(c, a))))),
% 5.59/5.77 inference(transitivity,[status(thm)],[10900, 10891])).
% 5.59/5.77 tff(10902,plain,
% 5.59/5.77 ((mult(mult(a, mult(a, b)), mult(c, a)) = mult(a, mult(mult(a, b), mult(c, a)))) <=> (mult(mult(mult(mult(a, a), b), a), c) = mult(mult(mult(a, a), b), mult(c, a)))),
% 5.59/5.77 inference(symmetry,[status(thm)],[10901])).
% 5.59/5.77 tff(10903,assumption,(mult(mult(a, mult(a, b)), mult(c, a)) = mult(a, mult(mult(a, b), mult(c, a)))), introduced(assumption)).
% 5.59/5.77 tff(10904,plain,
% 5.59/5.77 (mult(mult(mult(mult(a, a), b), a), c) = mult(mult(mult(a, a), b), mult(c, a))),
% 5.59/5.77 inference(modus_ponens,[status(thm)],[10903, 10902])).
% 5.59/5.77 tff(10905,assumption,(~(mult(mult(mult(mult(a, a), b), a), c) = mult(mult(mult(a, a), b), mult(c, a)))), introduced(assumption)).
% 5.59/5.77 tff(10906,plain,
% 5.59/5.77 ($false),
% 5.59/5.77 inference(unit_resolution,[status(thm)],[10905, 10904])).
% 5.59/5.77 tff(10907,plain,((~(mult(mult(mult(a, a), b), a) = mult(a, mult(mult(a, b), a)))) | (mult(mult(mult(mult(a, a), b), a), c) = mult(mult(mult(a, a), b), mult(c, a))) | (~(mult(mult(a, mult(a, b)), mult(c, a)) = mult(a, mult(mult(a, b), mult(c, a))))) | (~(mult(mult(a, mult(mult(a, b), a)), c) = mult(a, mult(mult(mult(a, b), a), c)))) | (~(mult(mult(mult(a, b), a), c) = mult(mult(a, b), mult(c, a))))), inference(lemma,lemma(discharge,[]))).
% 5.59/5.77 tff(10908,plain,
% 5.59/5.77 ((mult(mult(mult(mult(a, a), b), a), c) = mult(mult(mult(a, a), b), mult(c, a))) | (~(mult(mult(a, mult(a, b)), mult(c, a)) = mult(a, mult(mult(a, b), mult(c, a))))) | (~(mult(mult(a, mult(mult(a, b), a)), c) = mult(a, mult(mult(mult(a, b), a), c)))) | (~(mult(mult(mult(a, b), a), c) = mult(mult(a, b), mult(c, a))))),
% 5.59/5.77 inference(unit_resolution,[status(thm)],[10907, 10371])).
% 5.59/5.77 tff(10909,plain,
% 5.59/5.77 ((mult(mult(mult(mult(a, a), b), a), c) = mult(mult(mult(a, a), b), mult(c, a))) | (~(mult(mult(a, mult(a, b)), mult(c, a)) = mult(a, mult(mult(a, b), mult(c, a))))) | (~(mult(mult(a, mult(mult(a, b), a)), c) = mult(a, mult(mult(mult(a, b), a), c))))),
% 5.59/5.77 inference(unit_resolution,[status(thm)],[10908, 9222])).
% 5.59/5.77 tff(10910,plain,
% 5.59/5.77 (mult(mult(mult(mult(a, a), b), a), c) = mult(mult(mult(a, a), b), mult(c, a))),
% 5.59/5.77 inference(unit_resolution,[status(thm)],[10909, 10890, 10859])).
% 5.59/5.77 tff(10911,plain,
% 5.59/5.77 (mult(mult(a, a), mult(b, c)) = mult(a, mult(a, mult(b, c)))),
% 5.59/5.77 inference(unit_resolution,[status(thm)],[10434, 168])).
% 5.59/5.77 tff(10912,plain,
% 5.59/5.77 (mult(mult(a, mult(b, c)), a) = mult(a, mult(mult(b, c), a))),
% 5.59/5.77 inference(unit_resolution,[status(thm)],[1847, 10911])).
% 5.59/5.78 tff(10913,assumption,(~(mult(mult(c, mult(b, a)), a) = mult(c, mult(mult(b, a), a)))), introduced(assumption)).
% 5.59/5.78 tff(10914,plain,
% 5.59/5.78 ((~(mult(mult(mult(b, mult(c, a)), mult(b, a)), a) = mult(mult(b, mult(c, a)), mult(mult(b, a), a)))) | (~(mult(mult(mult(b, mult(c, a)), a), mult(b, a)) = mult(mult(b, mult(c, a)), mult(a, mult(b, a)))))),
% 5.59/5.78 inference(unit_resolution,[status(thm)],[7902, 10726])).
% 5.59/5.78 tff(10915,plain,
% 5.59/5.78 (~((~(mult(mult(mult(b, mult(c, a)), a), mult(b, a)) = mult(mult(b, mult(c, a)), mult(mult(b, a), a)))) | (~(mult(mult(mult(b, mult(c, a)), mult(b, a)), a) = mult(mult(b, mult(c, a)), mult(a, mult(b, a))))))),
% 5.59/5.78 inference(unit_resolution,[status(thm)],[7910, 10914])).
% 5.59/5.78 tff(10916,plain,
% 5.59/5.78 (mult(mult(mult(b, mult(c, a)), a), mult(b, a)) = mult(mult(b, mult(c, a)), mult(mult(b, a), a))),
% 5.59/5.78 inference(unit_resolution,[status(thm)],[7912, 10915])).
% 5.59/5.78 tff(10917,plain,
% 5.59/5.78 (mult(c, mult(mult(b, a), a)) = mult(c, mult(b, mult(a, a)))),
% 5.59/5.78 inference(monotonicity,[status(thm)],[4602])).
% 5.59/5.78 tff(10918,plain,
% 5.59/5.78 (mult(c, mult(b, mult(a, a))) = mult(c, mult(mult(b, a), a))),
% 5.59/5.78 inference(symmetry,[status(thm)],[10917])).
% 5.59/5.78 tff(10919,plain,
% 5.59/5.78 ((~![B: $i, A: $i] : (ld(A, mult(A, B)) = B)) | (ld(mult(b, mult(c, a)), mult(mult(b, mult(c, a)), mult(mult(a, b), a))) = mult(mult(a, b), a))),
% 5.59/5.78 inference(quant_inst,[status(thm)],[])).
% 5.59/5.78 tff(10920,plain,
% 5.59/5.78 (ld(mult(b, mult(c, a)), mult(mult(b, mult(c, a)), mult(mult(a, b), a))) = mult(mult(a, b), a)),
% 5.59/5.78 inference(unit_resolution,[status(thm)],[10919, 9])).
% 5.59/5.78 tff(10921,plain,
% 5.59/5.78 (mult(mult(b, mult(c, a)), a) = mult(mult(b, a), mult(a, c))),
% 5.59/5.78 inference(transitivity,[status(thm)],[5177, 5731])).
% 5.59/5.78 tff(10922,plain,
% 5.59/5.78 (mult(mult(mult(b, mult(c, a)), a), b) = mult(mult(mult(b, a), mult(a, c)), b)),
% 5.59/5.78 inference(monotonicity,[status(thm)],[10921])).
% 5.59/5.78 tff(10923,plain,
% 5.59/5.78 (mult(mult(mult(mult(b, mult(c, a)), a), b), a) = mult(mult(mult(mult(b, a), mult(a, c)), b), a)),
% 5.59/5.78 inference(monotonicity,[status(thm)],[10922])).
% 5.59/5.78 tff(10924,plain,
% 5.59/5.78 (mult(mult(mult(mult(b, a), mult(a, c)), b), a) = mult(mult(mult(mult(b, mult(c, a)), a), b), a)),
% 5.59/5.78 inference(symmetry,[status(thm)],[10923])).
% 5.59/5.78 tff(10925,plain,
% 5.59/5.78 (mult(mult(mult(b, a), mult(a, c)), mult(b, a)) = mult(mult(mult(mult(b, a), mult(a, c)), b), a)),
% 5.59/5.78 inference(symmetry,[status(thm)],[7850])).
% 5.59/5.78 tff(10926,plain,
% 5.59/5.78 (mult(mult(mult(b, mult(c, a)), a), mult(b, a)) = mult(mult(mult(b, a), mult(a, c)), mult(b, a))),
% 5.59/5.78 inference(monotonicity,[status(thm)],[10921])).
% 5.59/5.78 tff(10927,plain,
% 5.59/5.78 (mult(mult(b, mult(c, a)), mult(mult(b, a), a)) = mult(mult(b, mult(c, a)), mult(mult(a, b), a))),
% 5.59/5.78 inference(transitivity,[status(thm)],[7955, 10926, 10925, 10924, 4198])).
% 5.59/5.78 tff(10928,plain,
% 5.59/5.78 (ld(mult(b, mult(c, a)), mult(mult(b, mult(c, a)), mult(mult(b, a), a))) = ld(mult(b, mult(c, a)), mult(mult(b, mult(c, a)), mult(mult(a, b), a)))),
% 5.59/5.78 inference(monotonicity,[status(thm)],[10927])).
% 5.59/5.78 tff(10929,plain,
% 5.59/5.78 ((~![B: $i, A: $i] : (ld(A, mult(A, B)) = B)) | (ld(mult(b, mult(c, a)), mult(mult(b, mult(c, a)), mult(mult(b, a), a))) = mult(mult(b, a), a))),
% 5.59/5.78 inference(quant_inst,[status(thm)],[])).
% 5.59/5.78 tff(10930,plain,
% 5.59/5.78 (ld(mult(b, mult(c, a)), mult(mult(b, mult(c, a)), mult(mult(b, a), a))) = mult(mult(b, a), a)),
% 5.59/5.78 inference(unit_resolution,[status(thm)],[10929, 9])).
% 5.59/5.78 tff(10931,plain,
% 5.59/5.78 (mult(mult(b, a), a) = ld(mult(b, mult(c, a)), mult(mult(b, mult(c, a)), mult(mult(b, a), a)))),
% 5.59/5.78 inference(symmetry,[status(thm)],[10930])).
% 5.59/5.78 tff(10932,plain,
% 5.59/5.78 (mult(b, mult(a, a)) = mult(mult(a, b), a)),
% 5.59/5.78 inference(transitivity,[status(thm)],[8656, 10931, 10928, 10920])).
% 5.59/5.78 tff(10933,plain,
% 5.59/5.78 (mult(c, mult(b, mult(a, a))) = mult(c, mult(mult(a, b), a))),
% 5.59/5.78 inference(monotonicity,[status(thm)],[10932])).
% 5.59/5.78 tff(10934,plain,
% 5.59/5.78 (mult(c, mult(mult(a, b), a)) = mult(c, mult(b, mult(a, a)))),
% 5.59/5.78 inference(symmetry,[status(thm)],[10933])).
% 5.59/5.78 tff(10935,plain,
% 5.59/5.78 (mult(mult(c, mult(b, a)), a) = mult(c, mult(mult(b, a), a))),
% 5.59/5.78 inference(transitivity,[status(thm)],[4246, 3845, 10934, 10918])).
% 5.59/5.78 tff(10936,plain,
% 5.59/5.78 ($false),
% 5.59/5.78 inference(unit_resolution,[status(thm)],[10913, 10935])).
% 5.59/5.78 tff(10937,plain,((~(mult(mult(mult(b, mult(c, a)), a), mult(b, a)) = mult(mult(b, mult(c, a)), mult(mult(b, a), a)))) | (mult(mult(c, mult(b, a)), a) = mult(c, mult(mult(b, a), a))) | (~(mult(mult(c, a), b) = mult(c, mult(b, a)))) | (~(mult(mult(mult(mult(b, a), mult(a, c)), b), a) = mult(mult(mult(b, a), mult(a, c)), mult(b, a)))) | (~(mult(mult(mult(b, a), c), a) = mult(mult(b, a), mult(a, c)))) | (~(mult(mult(b, a), c) = mult(b, mult(c, a))))), inference(lemma,lemma(discharge,[]))).
% 5.59/5.78 tff(10938,plain,
% 5.59/5.78 ((~(mult(mult(mult(b, mult(c, a)), a), mult(b, a)) = mult(mult(b, mult(c, a)), mult(mult(b, a), a)))) | (mult(mult(c, mult(b, a)), a) = mult(c, mult(mult(b, a), a))) | (~(mult(mult(c, a), b) = mult(c, mult(b, a)))) | (~(mult(mult(mult(mult(b, a), mult(a, c)), b), a) = mult(mult(mult(b, a), mult(a, c)), mult(b, a)))) | (~(mult(mult(mult(b, a), c), a) = mult(mult(b, a), mult(a, c))))),
% 5.59/5.78 inference(unit_resolution,[status(thm)],[10937, 3427])).
% 5.59/5.78 tff(10939,plain,
% 5.59/5.78 ((~(mult(mult(mult(b, mult(c, a)), a), mult(b, a)) = mult(mult(b, mult(c, a)), mult(mult(b, a), a)))) | (mult(mult(c, mult(b, a)), a) = mult(c, mult(mult(b, a), a))) | (~(mult(mult(c, a), b) = mult(c, mult(b, a)))) | (~(mult(mult(mult(mult(b, a), mult(a, c)), b), a) = mult(mult(mult(b, a), mult(a, c)), mult(b, a))))),
% 5.59/5.78 inference(unit_resolution,[status(thm)],[10938, 3530])).
% 5.59/5.78 tff(10940,plain,
% 5.59/5.78 (~(mult(mult(mult(mult(b, a), mult(a, c)), b), a) = mult(mult(mult(b, a), mult(a, c)), mult(b, a)))),
% 5.59/5.78 inference(unit_resolution,[status(thm)],[10939, 10916, 10913, 342])).
% 5.59/5.78 tff(10941,plain,
% 5.59/5.78 ((~(mult(mult(mult(mult(b, a), mult(a, c)), a), b) = mult(mult(mult(b, a), mult(a, c)), mult(a, b)))) | (~(mult(mult(mult(mult(b, a), mult(a, c)), b), a) = mult(mult(mult(b, a), mult(a, c)), mult(b, a))))),
% 5.59/5.78 inference(unit_resolution,[status(thm)],[7867, 10940])).
% 5.59/5.78 tff(10942,plain,
% 5.59/5.78 (~((~(mult(mult(mult(mult(b, a), mult(a, c)), b), a) = mult(mult(mult(b, a), mult(a, c)), mult(a, b)))) | (~(mult(mult(mult(mult(b, a), mult(a, c)), a), b) = mult(mult(mult(b, a), mult(a, c)), mult(b, a)))))),
% 5.59/5.78 inference(unit_resolution,[status(thm)],[7879, 10941])).
% 5.59/5.78 tff(10943,plain,
% 5.59/5.78 (mult(mult(mult(mult(b, a), mult(a, c)), a), b) = mult(mult(mult(b, a), mult(a, c)), mult(b, a))),
% 5.59/5.78 inference(unit_resolution,[status(thm)],[7886, 10942])).
% 5.59/5.78 tff(10944,plain,
% 5.59/5.78 ((~![B: $i, A: $i] : (rd(mult(A, B), B) = A)) | (rd(mult(mult(mult(mult(mult(a, c), mult(b, a)), mult(a, c)), a), b), b) = mult(mult(mult(mult(a, c), mult(b, a)), mult(a, c)), a))),
% 5.59/5.78 inference(quant_inst,[status(thm)],[])).
% 5.59/5.78 tff(10945,plain,
% 5.59/5.78 (rd(mult(mult(mult(mult(mult(a, c), mult(b, a)), mult(a, c)), a), b), b) = mult(mult(mult(mult(a, c), mult(b, a)), mult(a, c)), a)),
% 5.59/5.78 inference(unit_resolution,[status(thm)],[10944, 72])).
% 5.59/5.78 tff(10946,plain,
% 5.59/5.78 (mult(mult(mult(mult(a, c), mult(b, a)), mult(a, c)), mult(b, a)) = mult(mult(mult(mult(mult(a, c), mult(b, a)), mult(a, c)), a), b)),
% 5.59/5.78 inference(symmetry,[status(thm)],[6773])).
% 5.59/5.78 tff(10947,assumption,(mult(mult(mult(mult(b, a), mult(a, c)), a), b) = mult(mult(mult(b, a), mult(a, c)), mult(b, a))), introduced(assumption)).
% 5.59/5.78 tff(10948,plain,
% 5.59/5.78 ((~![C: $i, B: $i, A: $i] : (mult(mult(mult(A, B), C), B) = mult(A, mult(mult(B, C), B)))) | (mult(mult(mult(b, a), mult(a, c)), a) = mult(b, mult(mult(a, mult(a, c)), a)))),
% 5.59/5.78 inference(quant_inst,[status(thm)],[])).
% 5.59/5.78 tff(10949,plain,
% 5.59/5.78 (mult(mult(mult(b, a), mult(a, c)), a) = mult(b, mult(mult(a, mult(a, c)), a))),
% 5.59/5.78 inference(unit_resolution,[status(thm)],[10948, 860])).
% 5.59/5.78 tff(10950,plain,
% 5.59/5.78 (mult(b, mult(mult(a, mult(a, c)), a)) = mult(mult(mult(b, a), mult(a, c)), a)),
% 5.59/5.78 inference(symmetry,[status(thm)],[10949])).
% 5.59/5.78 tff(10951,plain,
% 5.59/5.78 (mult(mult(b, mult(mult(a, mult(a, c)), a)), b) = mult(mult(mult(mult(b, a), mult(a, c)), a), b)),
% 5.59/5.78 inference(monotonicity,[status(thm)],[10950])).
% 5.59/5.78 tff(10952,plain,
% 5.59/5.78 (mult(mult(b, mult(mult(a, mult(a, c)), a)), b) = mult(mult(mult(b, a), mult(a, c)), mult(b, a))),
% 5.59/5.78 inference(transitivity,[status(thm)],[10951, 10947])).
% 5.59/5.78 tff(10953,plain,
% 5.59/5.78 (mult(mult(a, c), mult(mult(b, mult(mult(a, mult(a, c)), a)), b)) = mult(mult(a, c), mult(mult(mult(b, a), mult(a, c)), mult(b, a)))),
% 5.59/5.78 inference(monotonicity,[status(thm)],[10952])).
% 5.59/5.78 tff(10954,plain,
% 5.59/5.78 ((~![C: $i, B: $i, A: $i] : (mult(mult(mult(A, B), C), B) = mult(A, mult(mult(B, C), B)))) | (mult(mult(mult(mult(a, c), b), mult(mult(a, mult(a, c)), a)), b) = mult(mult(a, c), mult(mult(b, mult(mult(a, mult(a, c)), a)), b)))),
% 5.59/5.78 inference(quant_inst,[status(thm)],[])).
% 5.59/5.78 tff(10955,plain,
% 5.59/5.78 (mult(mult(mult(mult(a, c), b), mult(mult(a, mult(a, c)), a)), b) = mult(mult(a, c), mult(mult(b, mult(mult(a, mult(a, c)), a)), b))),
% 5.59/5.78 inference(unit_resolution,[status(thm)],[10954, 860])).
% 5.59/5.78 tff(10956,plain,
% 5.59/5.78 (mult(mult(mult(mult(a, c), b), mult(mult(a, mult(a, c)), a)), b) = mult(mult(mult(mult(mult(a, c), mult(b, a)), mult(a, c)), a), b)),
% 5.59/5.78 inference(transitivity,[status(thm)],[10955, 10953, 8759, 10946])).
% 5.59/5.78 tff(10957,plain,
% 5.59/5.78 (rd(mult(mult(mult(mult(a, c), b), mult(mult(a, mult(a, c)), a)), b), b) = rd(mult(mult(mult(mult(mult(a, c), mult(b, a)), mult(a, c)), a), b), b)),
% 5.59/5.78 inference(monotonicity,[status(thm)],[10956])).
% 5.59/5.78 tff(10958,plain,
% 5.59/5.78 ((~![B: $i, A: $i] : (rd(mult(A, B), B) = A)) | (rd(mult(mult(mult(mult(a, c), b), mult(mult(a, mult(a, c)), a)), b), b) = mult(mult(mult(a, c), b), mult(mult(a, mult(a, c)), a)))),
% 5.59/5.78 inference(quant_inst,[status(thm)],[])).
% 5.59/5.78 tff(10959,plain,
% 5.59/5.78 (rd(mult(mult(mult(mult(a, c), b), mult(mult(a, mult(a, c)), a)), b), b) = mult(mult(mult(a, c), b), mult(mult(a, mult(a, c)), a))),
% 5.59/5.78 inference(unit_resolution,[status(thm)],[10958, 72])).
% 5.59/5.78 tff(10960,plain,
% 5.59/5.78 (mult(mult(mult(a, c), b), mult(mult(a, mult(a, c)), a)) = rd(mult(mult(mult(mult(a, c), b), mult(mult(a, mult(a, c)), a)), b), b)),
% 5.59/5.78 inference(symmetry,[status(thm)],[10959])).
% 5.59/5.78 tff(10961,plain,
% 5.59/5.78 ((~![C: $i, B: $i, A: $i] : (mult(mult(mult(A, B), C), B) = mult(A, mult(mult(B, C), B)))) | (mult(mult(mult(mult(mult(a, c), b), a), mult(a, c)), a) = mult(mult(mult(a, c), b), mult(mult(a, mult(a, c)), a)))),
% 5.59/5.78 inference(quant_inst,[status(thm)],[])).
% 5.59/5.78 tff(10962,plain,
% 5.59/5.78 (mult(mult(mult(mult(mult(a, c), b), a), mult(a, c)), a) = mult(mult(mult(a, c), b), mult(mult(a, mult(a, c)), a))),
% 5.59/5.78 inference(unit_resolution,[status(thm)],[10961, 860])).
% 5.59/5.78 tff(10963,plain,
% 5.59/5.78 (mult(mult(mult(mult(mult(a, c), b), a), mult(a, c)), a) = mult(mult(mult(mult(a, c), mult(b, a)), mult(a, c)), a)),
% 5.59/5.78 inference(transitivity,[status(thm)],[10962, 10960, 10957, 10945])).
% 5.59/5.78 tff(10964,plain,
% 5.59/5.78 (rd(mult(mult(mult(mult(mult(a, c), b), a), mult(a, c)), a), a) = rd(mult(mult(mult(mult(a, c), mult(b, a)), mult(a, c)), a), a)),
% 5.59/5.78 inference(monotonicity,[status(thm)],[10963])).
% 5.59/5.78 tff(10965,plain,
% 5.59/5.78 ((~![B: $i, A: $i] : (rd(mult(A, B), B) = A)) | (rd(mult(mult(mult(mult(mult(a, c), b), a), mult(a, c)), a), a) = mult(mult(mult(mult(a, c), b), a), mult(a, c)))),
% 5.59/5.78 inference(quant_inst,[status(thm)],[])).
% 5.59/5.78 tff(10966,plain,
% 5.59/5.78 (rd(mult(mult(mult(mult(mult(a, c), b), a), mult(a, c)), a), a) = mult(mult(mult(mult(a, c), b), a), mult(a, c))),
% 5.59/5.78 inference(unit_resolution,[status(thm)],[10965, 72])).
% 5.59/5.78 tff(10967,plain,
% 5.59/5.78 (mult(mult(mult(mult(a, c), b), a), mult(a, c)) = rd(mult(mult(mult(mult(mult(a, c), b), a), mult(a, c)), a), a)),
% 5.59/5.78 inference(symmetry,[status(thm)],[10966])).
% 5.59/5.78 tff(10968,plain,
% 5.59/5.78 (mult(mult(mult(mult(a, c), b), a), mult(a, c)) = mult(mult(mult(a, c), mult(b, a)), mult(a, c))),
% 5.59/5.78 inference(transitivity,[status(thm)],[10967, 10964, 6768])).
% 5.59/5.78 tff(10969,plain,
% 5.59/5.78 (rd(mult(mult(mult(mult(a, c), b), a), mult(a, c)), mult(a, c)) = rd(mult(mult(mult(a, c), mult(b, a)), mult(a, c)), mult(a, c))),
% 5.59/5.78 inference(monotonicity,[status(thm)],[10968])).
% 5.59/5.78 tff(10970,plain,
% 5.59/5.78 (mult(mult(mult(a, c), b), a) = mult(mult(a, c), mult(b, a))),
% 5.59/5.78 inference(transitivity,[status(thm)],[6710, 10969, 6671])).
% 5.59/5.78 tff(10971,plain,
% 5.59/5.78 ($false),
% 5.59/5.78 inference(unit_resolution,[status(thm)],[614, 10970])).
% 5.59/5.78 tff(10972,plain,((~(mult(mult(mult(mult(b, a), mult(a, c)), a), b) = mult(mult(mult(b, a), mult(a, c)), mult(b, a)))) | (mult(mult(mult(a, c), b), a) = mult(mult(a, c), mult(b, a))) | (~(mult(mult(mult(mult(mult(a, c), mult(b, a)), mult(a, c)), a), b) = mult(mult(mult(mult(a, c), mult(b, a)), mult(a, c)), mult(b, a))))), inference(lemma,lemma(discharge,[]))).
% 5.59/5.78 tff(10973,plain,
% 5.59/5.78 (~(mult(mult(mult(mult(mult(a, c), mult(b, a)), mult(a, c)), a), b) = mult(mult(mult(mult(a, c), mult(b, a)), mult(a, c)), mult(b, a)))),
% 5.59/5.78 inference(unit_resolution,[status(thm)],[10972, 10943, 614])).
% 5.59/5.78 tff(10974,plain,
% 5.59/5.78 (((~(mult(mult(mult(mult(mult(a, c), mult(b, a)), mult(a, c)), b), a) = mult(mult(mult(mult(a, c), mult(b, a)), mult(a, c)), mult(a, b)))) | (~(mult(mult(mult(mult(mult(a, c), mult(b, a)), mult(a, c)), a), b) = mult(mult(mult(mult(a, c), mult(b, a)), mult(a, c)), mult(b, a))))) | (mult(mult(mult(mult(mult(a, c), mult(b, a)), mult(a, c)), a), b) = mult(mult(mult(mult(a, c), mult(b, a)), mult(a, c)), mult(b, a)))),
% 5.59/5.78 inference(tautology,[status(thm)],[])).
% 5.59/5.78 tff(10975,plain,
% 5.59/5.78 ((~(mult(mult(mult(mult(mult(a, c), mult(b, a)), mult(a, c)), b), a) = mult(mult(mult(mult(a, c), mult(b, a)), mult(a, c)), mult(a, b)))) | (~(mult(mult(mult(mult(mult(a, c), mult(b, a)), mult(a, c)), a), b) = mult(mult(mult(mult(a, c), mult(b, a)), mult(a, c)), mult(b, a))))),
% 5.59/5.78 inference(unit_resolution,[status(thm)],[10974, 10973])).
% 5.59/5.78 tff(10976,plain,
% 5.59/5.78 (~((~(mult(mult(mult(mult(mult(a, c), mult(b, a)), mult(a, c)), b), a) = mult(mult(mult(mult(a, c), mult(b, a)), mult(a, c)), mult(b, a)))) | (~(mult(mult(mult(mult(mult(a, c), mult(b, a)), mult(a, c)), a), b) = mult(mult(mult(mult(a, c), mult(b, a)), mult(a, c)), mult(a, b)))))),
% 5.59/5.78 inference(unit_resolution,[status(thm)],[6722, 10975])).
% 5.59/5.78 tff(10977,plain,
% 5.59/5.78 (mult(mult(mult(mult(mult(a, c), mult(b, a)), mult(a, c)), b), a) = mult(mult(mult(mult(a, c), mult(b, a)), mult(a, c)), mult(b, a))),
% 5.59/5.78 inference(unit_resolution,[status(thm)],[6724, 10976])).
% 5.59/5.78 tff(10978,plain,
% 5.59/5.78 ((~![B: $i, A: $i] : (rd(mult(A, B), B) = A)) | (rd(mult(mult(b, a), mult(a, c)), mult(a, c)) = mult(b, a))),
% 5.59/5.78 inference(quant_inst,[status(thm)],[])).
% 5.59/5.78 tff(10979,plain,
% 5.59/5.78 (rd(mult(mult(b, a), mult(a, c)), mult(a, c)) = mult(b, a)),
% 5.59/5.78 inference(unit_resolution,[status(thm)],[10978, 72])).
% 5.59/5.78 tff(10980,plain,
% 5.59/5.78 ((~![B: $i, A: $i] : (rd(mult(A, B), B) = A)) | (rd(mult(mult(mult(b, a), mult(a, c)), mult(b, a)), mult(b, a)) = mult(mult(b, a), mult(a, c)))),
% 5.59/5.78 inference(quant_inst,[status(thm)],[])).
% 5.59/5.78 tff(10981,plain,
% 5.59/5.78 (rd(mult(mult(mult(b, a), mult(a, c)), mult(b, a)), mult(b, a)) = mult(mult(b, a), mult(a, c))),
% 5.59/5.78 inference(unit_resolution,[status(thm)],[10980, 72])).
% 5.59/5.78 tff(10982,plain,
% 5.59/5.78 (mult(mult(mult(a, c), a), mult(mult(mult(b, c), a), b)) = mult(mult(a, mult(c, a)), mult(mult(b, mult(a, c)), b))),
% 5.59/5.78 inference(monotonicity,[status(thm)],[3701, 6488])).
% 5.59/5.78 tff(10983,plain,
% 5.59/5.78 (mult(mult(mult(a, c), a), mult(mult(mult(b, c), a), b)) = mult(mult(mult(mult(a, c), mult(b, a)), mult(a, c)), b)),
% 5.59/5.78 inference(transitivity,[status(thm)],[10982, 6680, 6677])).
% 5.59/5.78 tff(10984,plain,
% 5.59/5.78 (mult(mult(mult(mult(a, c), a), mult(mult(mult(b, c), a), b)), a) = mult(mult(mult(mult(mult(a, c), mult(b, a)), mult(a, c)), b), a)),
% 5.59/5.78 inference(monotonicity,[status(thm)],[10983])).
% 5.59/5.78 tff(10985,plain,
% 5.59/5.78 (mult(mult(a, c), mult(mult(a, mult(mult(mult(b, c), a), b)), a)) = mult(mult(a, c), mult(mult(mult(b, a), mult(a, c)), mult(b, a)))),
% 5.59/5.78 inference(transitivity,[status(thm)],[6687, 10984, 6785, 7198])).
% 5.59/5.78 tff(10986,plain,
% 5.59/5.78 (ld(mult(a, c), mult(mult(a, c), mult(mult(a, mult(mult(mult(b, c), a), b)), a))) = ld(mult(a, c), mult(mult(a, c), mult(mult(mult(b, a), mult(a, c)), mult(b, a))))),
% 5.59/5.78 inference(monotonicity,[status(thm)],[10985])).
% 5.59/5.78 tff(10987,plain,
% 5.59/5.78 (mult(a, mult(mult(b, c), a)) = mult(mult(a, b), mult(a, c))),
% 5.59/5.78 inference(transitivity,[status(thm)],[1424, 778, 168])).
% 5.59/5.78 tff(10988,plain,
% 5.59/5.78 (mult(mult(a, mult(mult(b, c), a)), b) = mult(mult(mult(a, b), mult(a, c)), b)),
% 5.59/5.78 inference(monotonicity,[status(thm)],[10987])).
% 5.59/5.78 tff(10989,plain,
% 5.59/5.78 (mult(mult(mult(a, b), c), a) = mult(a, mult(mult(b, c), a))),
% 5.59/5.78 inference(transitivity,[status(thm)],[793, 510])).
% 5.59/5.79 tff(10990,plain,
% 5.59/5.79 (mult(mult(mult(mult(a, b), c), a), b) = mult(mult(a, mult(mult(b, c), a)), b)),
% 5.59/5.79 inference(monotonicity,[status(thm)],[10989])).
% 5.59/5.79 tff(10991,plain,
% 5.59/5.79 (mult(mult(mult(mult(a, b), c), a), b) = mult(a, mult(mult(mult(b, c), a), b))),
% 5.59/5.79 inference(transitivity,[status(thm)],[10990, 10988, 6137, 6688])).
% 5.59/5.79 tff(10992,plain,
% 5.59/5.79 (mult(mult(mult(mult(mult(a, b), c), a), b), a) = mult(mult(a, mult(mult(mult(b, c), a), b)), a)),
% 5.59/5.79 inference(monotonicity,[status(thm)],[10991])).
% 5.59/5.79 tff(10993,assumption,(mult(mult(mult(mult(mult(a, b), c), a), b), a) = mult(mult(mult(mult(a, b), c), a), mult(b, a))), introduced(assumption)).
% 5.59/5.79 tff(10994,plain,
% 5.59/5.79 (mult(mult(mult(mult(a, b), c), a), mult(b, a)) = mult(mult(mult(mult(mult(a, b), c), a), b), a)),
% 5.59/5.79 inference(symmetry,[status(thm)],[10993])).
% 5.59/5.79 tff(10995,plain,
% 5.59/5.79 (mult(mult(mult(mult(a, b), c), a), mult(b, a)) = mult(mult(mult(b, a), mult(a, c)), mult(b, a))),
% 5.59/5.79 inference(transitivity,[status(thm)],[10994, 10992, 7203, 10986, 7196])).
% 5.59/5.79 tff(10996,plain,
% 5.59/5.79 (rd(mult(mult(mult(mult(a, b), c), a), mult(b, a)), mult(b, a)) = rd(mult(mult(mult(b, a), mult(a, c)), mult(b, a)), mult(b, a))),
% 5.59/5.79 inference(monotonicity,[status(thm)],[10995])).
% 5.59/5.79 tff(10997,plain,
% 5.59/5.79 ((~![B: $i, A: $i] : (rd(mult(A, B), B) = A)) | (rd(mult(mult(mult(mult(a, b), c), a), mult(b, a)), mult(b, a)) = mult(mult(mult(a, b), c), a))),
% 5.59/5.79 inference(quant_inst,[status(thm)],[])).
% 5.59/5.79 tff(10998,plain,
% 5.59/5.79 (rd(mult(mult(mult(mult(a, b), c), a), mult(b, a)), mult(b, a)) = mult(mult(mult(a, b), c), a)),
% 5.59/5.79 inference(unit_resolution,[status(thm)],[10997, 72])).
% 5.59/5.79 tff(10999,plain,
% 5.59/5.79 (mult(mult(mult(a, b), c), a) = rd(mult(mult(mult(mult(a, b), c), a), mult(b, a)), mult(b, a))),
% 5.59/5.79 inference(symmetry,[status(thm)],[10998])).
% 5.59/5.79 tff(11000,plain,
% 5.59/5.79 (mult(mult(a, b), mult(a, c)) = mult(mult(b, a), mult(a, c))),
% 5.59/5.79 inference(transitivity,[status(thm)],[403, 10999, 10996, 10981])).
% 5.59/5.79 tff(11001,plain,
% 5.59/5.79 (rd(mult(mult(a, b), mult(a, c)), mult(a, c)) = rd(mult(mult(b, a), mult(a, c)), mult(a, c))),
% 5.59/5.79 inference(monotonicity,[status(thm)],[11000])).
% 5.59/5.79 tff(11002,plain,
% 5.59/5.79 ((~![B: $i, A: $i] : (rd(mult(A, B), B) = A)) | (rd(mult(mult(a, b), mult(a, c)), mult(a, c)) = mult(a, b))),
% 5.59/5.79 inference(quant_inst,[status(thm)],[])).
% 5.59/5.79 tff(11003,plain,
% 5.59/5.79 (rd(mult(mult(a, b), mult(a, c)), mult(a, c)) = mult(a, b)),
% 5.59/5.79 inference(unit_resolution,[status(thm)],[11002, 72])).
% 5.59/5.79 tff(11004,plain,
% 5.59/5.79 (mult(a, b) = rd(mult(mult(a, b), mult(a, c)), mult(a, c))),
% 5.59/5.79 inference(symmetry,[status(thm)],[11003])).
% 5.59/5.79 tff(11005,plain,
% 5.59/5.79 (mult(a, b) = mult(b, a)),
% 5.59/5.79 inference(transitivity,[status(thm)],[11004, 11001, 10979])).
% 5.59/5.79 tff(11006,plain,
% 5.59/5.79 (mult(mult(a, c), mult(a, b)) = mult(mult(a, c), mult(b, a))),
% 5.59/5.79 inference(monotonicity,[status(thm)],[11005])).
% 5.59/5.79 tff(11007,plain,
% 5.59/5.79 (mult(mult(mult(a, c), b), a) = mult(mult(a, c), mult(b, a))),
% 5.59/5.79 inference(transitivity,[status(thm)],[971, 11006])).
% 5.59/5.79 tff(11008,plain,
% 5.59/5.79 ($false),
% 5.59/5.79 inference(unit_resolution,[status(thm)],[614, 11007])).
% 5.59/5.79 tff(11009,plain,((~(mult(mult(mult(mult(mult(a, b), c), a), b), a) = mult(mult(mult(mult(a, b), c), a), mult(b, a)))) | (mult(mult(mult(a, c), b), a) = mult(mult(a, c), mult(b, a))) | (~(mult(mult(mult(a, b), c), a) = mult(mult(a, b), mult(a, c)))) | (~(mult(mult(mult(mult(mult(a, c), mult(b, a)), mult(a, c)), b), a) = mult(mult(mult(mult(a, c), mult(b, a)), mult(a, c)), mult(b, a)))) | (~(mult(mult(b, c), a) = mult(b, mult(a, c)))) | (~(mult(mult(b, mult(c, a)), a) = mult(b, mult(a, mult(c, a))))) | (~(mult(mult(b, a), c) = mult(b, mult(c, a)))) | (~(mult(mult(a, mult(b, c)), a) = mult(a, mult(mult(b, c), a)))) | (~(mult(mult(a, b), c) = mult(a, mult(b, c))))), inference(lemma,lemma(discharge,[]))).
% 5.59/5.79 tff(11010,plain,
% 5.59/5.79 ((~(mult(mult(mult(mult(mult(a, b), c), a), b), a) = mult(mult(mult(mult(a, b), c), a), mult(b, a)))) | (mult(mult(mult(a, c), b), a) = mult(mult(a, c), mult(b, a))) | (~(mult(mult(mult(a, b), c), a) = mult(mult(a, b), mult(a, c)))) | (~(mult(mult(mult(mult(mult(a, c), mult(b, a)), mult(a, c)), b), a) = mult(mult(mult(mult(a, c), mult(b, a)), mult(a, c)), mult(b, a)))) | (~(mult(mult(b, c), a) = mult(b, mult(a, c)))) | (~(mult(mult(b, mult(c, a)), a) = mult(b, mult(a, mult(c, a))))) | (~(mult(mult(a, mult(b, c)), a) = mult(a, mult(mult(b, c), a)))) | (~(mult(mult(a, b), c) = mult(a, mult(b, c))))),
% 5.59/5.79 inference(unit_resolution,[status(thm)],[11009, 3427])).
% 5.59/5.79 tff(11011,plain,
% 5.59/5.79 ((~(mult(mult(mult(mult(mult(a, b), c), a), b), a) = mult(mult(mult(mult(a, b), c), a), mult(b, a)))) | (mult(mult(mult(a, c), b), a) = mult(mult(a, c), mult(b, a))) | (~(mult(mult(mult(a, b), c), a) = mult(mult(a, b), mult(a, c)))) | (~(mult(mult(mult(mult(mult(a, c), mult(b, a)), mult(a, c)), b), a) = mult(mult(mult(mult(a, c), mult(b, a)), mult(a, c)), mult(b, a)))) | (~(mult(mult(a, mult(b, c)), a) = mult(a, mult(mult(b, c), a)))) | (~(mult(mult(a, b), c) = mult(a, mult(b, c))))),
% 5.59/5.79 inference(unit_resolution,[status(thm)],[11010, 3433, 4679])).
% 5.59/5.79 tff(11012,plain,
% 5.59/5.79 ((~(mult(mult(mult(mult(mult(a, b), c), a), b), a) = mult(mult(mult(mult(a, b), c), a), mult(b, a)))) | (mult(mult(mult(a, c), b), a) = mult(mult(a, c), mult(b, a))) | (~(mult(mult(mult(a, b), c), a) = mult(mult(a, b), mult(a, c)))) | (~(mult(mult(mult(mult(mult(a, c), mult(b, a)), mult(a, c)), b), a) = mult(mult(mult(mult(a, c), mult(b, a)), mult(a, c)), mult(b, a)))) | (~(mult(mult(a, mult(b, c)), a) = mult(a, mult(mult(b, c), a))))),
% 5.59/5.79 inference(unit_resolution,[status(thm)],[11011, 8959])).
% 5.59/5.79 tff(11013,plain,
% 5.59/5.79 (~(mult(mult(mult(mult(mult(a, b), c), a), b), a) = mult(mult(mult(mult(a, b), c), a), mult(b, a)))),
% 5.59/5.79 inference(unit_resolution,[status(thm)],[11012, 10977, 614, 168, 10912])).
% 5.59/5.79 tff(11014,plain,
% 5.59/5.79 (mult(a, mult(mult(mult(a, c), a), b)) = mult(a, mult(mult(a, c), mult(b, a)))),
% 5.59/5.79 inference(monotonicity,[status(thm)],[10730])).
% 5.59/5.79 tff(11015,plain,
% 5.59/5.79 (mult(mult(a, mult(b, a)), mult(a, c)) = mult(mult(mult(a, b), a), mult(a, c))),
% 5.59/5.79 inference(monotonicity,[status(thm)],[4194])).
% 5.59/5.79 tff(11016,plain,
% 5.59/5.79 (mult(mult(mult(a, b), a), mult(a, c)) = mult(mult(a, mult(b, a)), mult(a, c))),
% 5.59/5.79 inference(symmetry,[status(thm)],[11015])).
% 5.59/5.79 tff(11017,assumption,(mult(mult(mult(a, b), a), mult(a, c)) = mult(mult(a, b), mult(mult(a, c), a))), introduced(assumption)).
% 5.59/5.79 tff(11018,plain,
% 5.59/5.79 (mult(mult(a, b), mult(mult(a, c), a)) = mult(mult(mult(a, b), a), mult(a, c))),
% 5.59/5.79 inference(symmetry,[status(thm)],[11017])).
% 5.59/5.79 tff(11019,plain,
% 5.59/5.79 (mult(mult(a, b), mult(mult(a, c), a)) = mult(mult(a, mult(b, a)), mult(a, c))),
% 5.59/5.79 inference(transitivity,[status(thm)],[11018, 11016])).
% 5.59/5.79 tff(11020,plain,
% 5.59/5.79 ((mult(mult(a, b), mult(mult(a, c), a)) = mult(a, mult(mult(mult(a, c), a), b))) <=> (mult(mult(a, mult(b, a)), mult(a, c)) = mult(a, mult(mult(a, c), mult(b, a))))),
% 5.59/5.79 inference(monotonicity,[status(thm)],[11019, 11014])).
% 5.59/5.79 tff(11021,plain,
% 5.59/5.79 ((mult(mult(a, mult(b, a)), mult(a, c)) = mult(a, mult(mult(a, c), mult(b, a)))) <=> (mult(mult(a, b), mult(mult(a, c), a)) = mult(a, mult(mult(mult(a, c), a), b)))),
% 5.59/5.79 inference(symmetry,[status(thm)],[11020])).
% 5.59/5.79 tff(11022,plain,
% 5.59/5.79 ((~(mult(mult(a, mult(b, a)), mult(a, c)) = mult(a, mult(mult(a, c), mult(b, a))))) <=> (~(mult(mult(a, b), mult(mult(a, c), a)) = mult(a, mult(mult(mult(a, c), a), b))))),
% 5.59/5.79 inference(monotonicity,[status(thm)],[11021])).
% 5.59/5.79 tff(11023,plain,
% 5.59/5.79 (mult(mult(mult(a, a), c), b) = mult(mult(a, a), mult(c, b))),
% 5.59/5.79 inference(unit_resolution,[status(thm)],[10463, 10911, 256])).
% 5.59/5.79 tff(11024,assumption,(mult(mult(a, a), mult(b, a)) = mult(a, mult(a, mult(b, a)))), introduced(assumption)).
% 5.59/5.79 tff(11025,assumption,(mult(mult(mult(b, a), b), a) = mult(mult(b, a), mult(b, a))), introduced(assumption)).
% 5.59/5.79 tff(11026,assumption,(mult(mult(b, mult(a, b)), a) = mult(b, mult(mult(a, b), a))), introduced(assumption)).
% 5.59/5.79 tff(11027,assumption,(~(mult(mult(a, mult(b, mult(c, a))), a) = mult(a, mult(a, mult(b, mult(c, a)))))), introduced(assumption)).
% 5.59/5.79 tff(11028,plain,
% 5.59/5.79 (mult(mult(a, mult(a, c)), b) = mult(a, mult(mult(a, c), b))),
% 5.59/5.79 inference(unit_resolution,[status(thm)],[10453, 10912, 168])).
% 5.59/5.79 tff(11029,plain,
% 5.59/5.79 (mult(mult(mult(a, c), mult(b, a)), a) = mult(mult(a, c), mult(a, mult(b, a)))),
% 5.59/5.79 inference(unit_resolution,[status(thm)],[10736, 1362])).
% 5.59/5.79 tff(11030,plain,
% 5.59/5.79 (mult(mult(a, mult(mult(c, a), b)), a) = mult(a, mult(mult(mult(c, a), b), a))),
% 5.59/5.79 inference(unit_resolution,[status(thm)],[10821, 10744, 1362])).
% 5.59/5.79 tff(11031,plain,
% 5.59/5.79 (mult(mult(a, c), mult(mult(a, b), a)) = mult(a, mult(c, mult(mult(a, b), a)))),
% 5.59/5.79 inference(unit_resolution,[status(thm)],[10835, 11030, 11029, 10728, 342])).
% 5.59/5.79 tff(11032,plain,
% 5.59/5.79 (mult(a, mult(mult(c, a), b)) = mult(mult(a, c), mult(b, a))),
% 5.59/5.79 inference(transitivity,[status(thm)],[2430, 527])).
% 5.59/5.79 tff(11033,plain,
% 5.59/5.79 (mult(mult(a, mult(mult(c, a), b)), a) = mult(mult(mult(a, c), mult(b, a)), a)),
% 5.59/5.79 inference(monotonicity,[status(thm)],[11032])).
% 5.59/5.79 tff(11034,plain,
% 5.59/5.79 (mult(mult(mult(a, c), mult(b, a)), a) = mult(mult(a, mult(mult(c, a), b)), a)),
% 5.59/5.79 inference(symmetry,[status(thm)],[11033])).
% 5.59/5.79 tff(11035,plain,
% 5.59/5.79 (mult(a, mult(c, mult(mult(a, b), a))) = mult(mult(a, c), mult(mult(a, b), a))),
% 5.59/5.79 inference(symmetry,[status(thm)],[10783])).
% 5.59/5.79 tff(11036,plain,
% 5.59/5.79 (mult(a, mult(mult(mult(c, a), b), a)) = mult(a, mult(c, mult(mult(a, b), a)))),
% 5.59/5.79 inference(symmetry,[status(thm)],[10777])).
% 5.59/5.79 tff(11037,assumption,(~(mult(mult(a, a), mult(mult(c, a), b)) = mult(a, mult(a, mult(mult(c, a), b))))), introduced(assumption)).
% 5.59/5.79 tff(11038,plain,
% 5.59/5.79 (((~(mult(mult(a, mult(mult(c, a), b)), a) = mult(a, mult(mult(mult(c, a), b), a)))) | (~(mult(mult(a, a), mult(mult(c, a), b)) = mult(a, mult(a, mult(mult(c, a), b)))))) | (mult(mult(a, a), mult(mult(c, a), b)) = mult(a, mult(a, mult(mult(c, a), b))))),
% 5.59/5.79 inference(tautology,[status(thm)],[])).
% 5.59/5.79 tff(11039,plain,
% 5.59/5.79 ((~(mult(mult(a, mult(mult(c, a), b)), a) = mult(a, mult(mult(mult(c, a), b), a)))) | (~(mult(mult(a, a), mult(mult(c, a), b)) = mult(a, mult(a, mult(mult(c, a), b)))))),
% 5.59/5.79 inference(unit_resolution,[status(thm)],[11038, 11037])).
% 5.59/5.79 tff(11040,plain,
% 5.59/5.79 (((~![X0: $i, X1: $i, X2: $i] : ((~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X2, X1)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X1, X2)))))) | (~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X1, X2)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X2, X1)))))))) | ((~((~(mult(mult(a, mult(mult(c, a), b)), a) = mult(a, mult(a, mult(mult(c, a), b))))) | (~(mult(mult(a, a), mult(mult(c, a), b)) = mult(a, mult(mult(mult(c, a), b), a)))))) | (~((~(mult(mult(a, mult(mult(c, a), b)), a) = mult(a, mult(mult(mult(c, a), b), a)))) | (~(mult(mult(a, a), mult(mult(c, a), b)) = mult(a, mult(a, mult(mult(c, a), b))))))))) <=> ((~![X0: $i, X1: $i, X2: $i] : ((~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X2, X1)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X1, X2)))))) | (~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X1, X2)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X2, X1)))))))) | (~((~(mult(mult(a, mult(mult(c, a), b)), a) = mult(a, mult(a, mult(mult(c, a), b))))) | (~(mult(mult(a, a), mult(mult(c, a), b)) = mult(a, mult(mult(mult(c, a), b), a)))))) | (~((~(mult(mult(a, mult(mult(c, a), b)), a) = mult(a, mult(mult(mult(c, a), b), a)))) | (~(mult(mult(a, a), mult(mult(c, a), b)) = mult(a, mult(a, mult(mult(c, a), b))))))))),
% 5.59/5.79 inference(rewrite,[status(thm)],[])).
% 5.59/5.79 tff(11041,plain,
% 5.59/5.79 ((~![X0: $i, X1: $i, X2: $i] : ((~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X2, X1)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X1, X2)))))) | (~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X1, X2)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X2, X1)))))))) | ((~((~(mult(mult(a, mult(mult(c, a), b)), a) = mult(a, mult(a, mult(mult(c, a), b))))) | (~(mult(mult(a, a), mult(mult(c, a), b)) = mult(a, mult(mult(mult(c, a), b), a)))))) | (~((~(mult(mult(a, mult(mult(c, a), b)), a) = mult(a, mult(mult(mult(c, a), b), a)))) | (~(mult(mult(a, a), mult(mult(c, a), b)) = mult(a, mult(a, mult(mult(c, a), b))))))))),
% 5.59/5.79 inference(quant_inst,[status(thm)],[])).
% 5.59/5.79 tff(11042,plain,
% 5.59/5.79 ((~![X0: $i, X1: $i, X2: $i] : ((~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X2, X1)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X1, X2)))))) | (~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X1, X2)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X2, X1)))))))) | (~((~(mult(mult(a, mult(mult(c, a), b)), a) = mult(a, mult(a, mult(mult(c, a), b))))) | (~(mult(mult(a, a), mult(mult(c, a), b)) = mult(a, mult(mult(mult(c, a), b), a)))))) | (~((~(mult(mult(a, mult(mult(c, a), b)), a) = mult(a, mult(mult(mult(c, a), b), a)))) | (~(mult(mult(a, a), mult(mult(c, a), b)) = mult(a, mult(a, mult(mult(c, a), b)))))))),
% 5.59/5.79 inference(modus_ponens,[status(thm)],[11041, 11040])).
% 5.59/5.79 tff(11043,plain,
% 5.59/5.79 ((~((~(mult(mult(a, mult(mult(c, a), b)), a) = mult(a, mult(a, mult(mult(c, a), b))))) | (~(mult(mult(a, a), mult(mult(c, a), b)) = mult(a, mult(mult(mult(c, a), b), a)))))) | (~((~(mult(mult(a, mult(mult(c, a), b)), a) = mult(a, mult(mult(mult(c, a), b), a)))) | (~(mult(mult(a, a), mult(mult(c, a), b)) = mult(a, mult(a, mult(mult(c, a), b)))))))),
% 5.59/5.79 inference(unit_resolution,[status(thm)],[11042, 30])).
% 5.59/5.79 tff(11044,plain,
% 5.59/5.79 (~((~(mult(mult(a, mult(mult(c, a), b)), a) = mult(a, mult(a, mult(mult(c, a), b))))) | (~(mult(mult(a, a), mult(mult(c, a), b)) = mult(a, mult(mult(mult(c, a), b), a)))))),
% 5.59/5.79 inference(unit_resolution,[status(thm)],[11043, 11039])).
% 5.59/5.79 tff(11045,plain,
% 5.59/5.79 (((~(mult(mult(a, mult(mult(c, a), b)), a) = mult(a, mult(a, mult(mult(c, a), b))))) | (~(mult(mult(a, a), mult(mult(c, a), b)) = mult(a, mult(mult(mult(c, a), b), a))))) | (mult(mult(a, a), mult(mult(c, a), b)) = mult(a, mult(mult(mult(c, a), b), a)))),
% 5.59/5.79 inference(tautology,[status(thm)],[])).
% 5.59/5.79 tff(11046,plain,
% 5.59/5.79 (mult(mult(a, a), mult(mult(c, a), b)) = mult(a, mult(mult(mult(c, a), b), a))),
% 5.59/5.79 inference(unit_resolution,[status(thm)],[11045, 11044])).
% 5.59/5.79 tff(11047,plain,
% 5.59/5.79 (mult(mult(a, a), mult(mult(c, a), b)) = mult(mult(a, mult(mult(c, a), b)), a)),
% 5.59/5.79 inference(transitivity,[status(thm)],[11046, 11036, 11035, 10732, 10826, 11034])).
% 5.59/5.79 tff(11048,plain,
% 5.59/5.79 ((mult(mult(a, a), mult(mult(c, a), b)) = mult(a, mult(a, mult(mult(c, a), b)))) <=> (mult(mult(a, mult(mult(c, a), b)), a) = mult(a, mult(a, mult(mult(c, a), b))))),
% 5.59/5.79 inference(monotonicity,[status(thm)],[11047])).
% 5.59/5.79 tff(11049,plain,
% 5.59/5.79 ((mult(mult(a, mult(mult(c, a), b)), a) = mult(a, mult(a, mult(mult(c, a), b)))) <=> (mult(mult(a, a), mult(mult(c, a), b)) = mult(a, mult(a, mult(mult(c, a), b))))),
% 5.59/5.79 inference(symmetry,[status(thm)],[11048])).
% 5.59/5.79 tff(11050,plain,
% 5.59/5.79 (((~(mult(mult(a, mult(mult(c, a), b)), a) = mult(a, mult(a, mult(mult(c, a), b))))) | (~(mult(mult(a, a), mult(mult(c, a), b)) = mult(a, mult(mult(mult(c, a), b), a))))) | (mult(mult(a, mult(mult(c, a), b)), a) = mult(a, mult(a, mult(mult(c, a), b))))),
% 5.59/5.79 inference(tautology,[status(thm)],[])).
% 5.59/5.79 tff(11051,plain,
% 5.59/5.79 (mult(mult(a, mult(mult(c, a), b)), a) = mult(a, mult(a, mult(mult(c, a), b)))),
% 5.59/5.79 inference(unit_resolution,[status(thm)],[11050, 11044])).
% 5.59/5.79 tff(11052,plain,
% 5.59/5.79 (mult(mult(a, a), mult(mult(c, a), b)) = mult(a, mult(a, mult(mult(c, a), b)))),
% 5.59/5.79 inference(modus_ponens,[status(thm)],[11051, 11049])).
% 5.59/5.79 tff(11053,plain,
% 5.59/5.79 ($false),
% 5.59/5.79 inference(unit_resolution,[status(thm)],[11037, 11052])).
% 5.59/5.79 tff(11054,plain,((mult(mult(a, a), mult(mult(c, a), b)) = mult(a, mult(a, mult(mult(c, a), b)))) | (~(mult(mult(mult(a, c), mult(b, a)), a) = mult(mult(a, c), mult(a, mult(b, a))))) | (~(mult(mult(a, c), mult(mult(a, b), a)) = mult(a, mult(c, mult(mult(a, b), a))))) | (~(mult(mult(a, c), mult(b, a)) = mult(a, mult(c, mult(b, a))))) | (~(mult(mult(c, a), b) = mult(c, mult(b, a))))), inference(lemma,lemma(discharge,[]))).
% 5.59/5.79 tff(11055,plain,
% 5.59/5.79 (mult(mult(a, a), mult(mult(c, a), b)) = mult(a, mult(a, mult(mult(c, a), b)))),
% 5.59/5.79 inference(unit_resolution,[status(thm)],[11054, 11031, 11029, 10728, 342])).
% 5.59/5.79 tff(11056,plain,
% 5.59/5.79 (mult(mult(a, mult(mult(a, b), a)), c) = mult(a, mult(mult(mult(a, b), a), c))),
% 5.59/5.79 inference(unit_resolution,[status(thm)],[10858, 11031])).
% 5.59/5.79 tff(11057,plain,
% 5.59/5.79 ((mult(a, mult(mult(b, a), mult(a, c))) = mult(mult(a, mult(b, a)), mult(a, c))) <=> (mult(mult(a, mult(b, a)), mult(a, c)) = mult(a, mult(mult(b, a), mult(a, c))))),
% 5.59/5.79 inference(commutativity,[status(thm)],[])).
% 5.59/5.79 tff(11058,assumption,(~(mult(mult(a, mult(b, a)), mult(a, c)) = mult(a, mult(mult(b, a), mult(a, c))))), introduced(assumption)).
% 5.63/5.80 tff(11059,plain,
% 5.63/5.80 (((~(mult(mult(a, mult(a, c)), mult(b, a)) = mult(a, mult(mult(a, c), mult(b, a))))) | (~(mult(mult(a, mult(b, a)), mult(a, c)) = mult(a, mult(mult(b, a), mult(a, c)))))) | (mult(mult(a, mult(b, a)), mult(a, c)) = mult(a, mult(mult(b, a), mult(a, c))))),
% 5.63/5.80 inference(tautology,[status(thm)],[])).
% 5.63/5.80 tff(11060,plain,
% 5.63/5.80 ((~(mult(mult(a, mult(a, c)), mult(b, a)) = mult(a, mult(mult(a, c), mult(b, a))))) | (~(mult(mult(a, mult(b, a)), mult(a, c)) = mult(a, mult(mult(b, a), mult(a, c)))))),
% 5.63/5.80 inference(unit_resolution,[status(thm)],[11059, 11058])).
% 5.63/5.80 tff(11061,plain,
% 5.63/5.80 (((~![X0: $i, X1: $i, X2: $i] : ((~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X2, X1)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X1, X2)))))) | (~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X1, X2)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X2, X1)))))))) | ((~((~(mult(mult(a, mult(a, c)), mult(b, a)) = mult(a, mult(mult(b, a), mult(a, c))))) | (~(mult(mult(a, mult(b, a)), mult(a, c)) = mult(a, mult(mult(a, c), mult(b, a))))))) | (~((~(mult(mult(a, mult(a, c)), mult(b, a)) = mult(a, mult(mult(a, c), mult(b, a))))) | (~(mult(mult(a, mult(b, a)), mult(a, c)) = mult(a, mult(mult(b, a), mult(a, c))))))))) <=> ((~![X0: $i, X1: $i, X2: $i] : ((~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X2, X1)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X1, X2)))))) | (~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X1, X2)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X2, X1)))))))) | (~((~(mult(mult(a, mult(a, c)), mult(b, a)) = mult(a, mult(mult(b, a), mult(a, c))))) | (~(mult(mult(a, mult(b, a)), mult(a, c)) = mult(a, mult(mult(a, c), mult(b, a))))))) | (~((~(mult(mult(a, mult(a, c)), mult(b, a)) = mult(a, mult(mult(a, c), mult(b, a))))) | (~(mult(mult(a, mult(b, a)), mult(a, c)) = mult(a, mult(mult(b, a), mult(a, c))))))))),
% 5.63/5.80 inference(rewrite,[status(thm)],[])).
% 5.63/5.80 tff(11062,plain,
% 5.63/5.80 ((~![X0: $i, X1: $i, X2: $i] : ((~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X2, X1)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X1, X2)))))) | (~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X1, X2)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X2, X1)))))))) | ((~((~(mult(mult(a, mult(a, c)), mult(b, a)) = mult(a, mult(mult(b, a), mult(a, c))))) | (~(mult(mult(a, mult(b, a)), mult(a, c)) = mult(a, mult(mult(a, c), mult(b, a))))))) | (~((~(mult(mult(a, mult(a, c)), mult(b, a)) = mult(a, mult(mult(a, c), mult(b, a))))) | (~(mult(mult(a, mult(b, a)), mult(a, c)) = mult(a, mult(mult(b, a), mult(a, c))))))))),
% 5.63/5.80 inference(quant_inst,[status(thm)],[])).
% 5.63/5.80 tff(11063,plain,
% 5.63/5.80 ((~![X0: $i, X1: $i, X2: $i] : ((~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X2, X1)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X1, X2)))))) | (~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X1, X2)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X2, X1)))))))) | (~((~(mult(mult(a, mult(a, c)), mult(b, a)) = mult(a, mult(mult(b, a), mult(a, c))))) | (~(mult(mult(a, mult(b, a)), mult(a, c)) = mult(a, mult(mult(a, c), mult(b, a))))))) | (~((~(mult(mult(a, mult(a, c)), mult(b, a)) = mult(a, mult(mult(a, c), mult(b, a))))) | (~(mult(mult(a, mult(b, a)), mult(a, c)) = mult(a, mult(mult(b, a), mult(a, c)))))))),
% 5.63/5.80 inference(modus_ponens,[status(thm)],[11062, 11061])).
% 5.63/5.80 tff(11064,plain,
% 5.63/5.80 ((~((~(mult(mult(a, mult(a, c)), mult(b, a)) = mult(a, mult(mult(b, a), mult(a, c))))) | (~(mult(mult(a, mult(b, a)), mult(a, c)) = mult(a, mult(mult(a, c), mult(b, a))))))) | (~((~(mult(mult(a, mult(a, c)), mult(b, a)) = mult(a, mult(mult(a, c), mult(b, a))))) | (~(mult(mult(a, mult(b, a)), mult(a, c)) = mult(a, mult(mult(b, a), mult(a, c)))))))),
% 5.63/5.80 inference(unit_resolution,[status(thm)],[11063, 30])).
% 5.63/5.80 tff(11065,plain,
% 5.63/5.80 (~((~(mult(mult(a, mult(a, c)), mult(b, a)) = mult(a, mult(mult(b, a), mult(a, c))))) | (~(mult(mult(a, mult(b, a)), mult(a, c)) = mult(a, mult(mult(a, c), mult(b, a))))))),
% 5.63/5.80 inference(unit_resolution,[status(thm)],[11064, 11060])).
% 5.63/5.80 tff(11066,plain,
% 5.63/5.80 (((~(mult(mult(a, mult(a, c)), mult(b, a)) = mult(a, mult(mult(b, a), mult(a, c))))) | (~(mult(mult(a, mult(b, a)), mult(a, c)) = mult(a, mult(mult(a, c), mult(b, a)))))) | (mult(mult(a, mult(b, a)), mult(a, c)) = mult(a, mult(mult(a, c), mult(b, a))))),
% 5.63/5.80 inference(tautology,[status(thm)],[])).
% 5.63/5.80 tff(11067,plain,
% 5.63/5.80 (mult(mult(a, mult(b, a)), mult(a, c)) = mult(a, mult(mult(a, c), mult(b, a)))),
% 5.63/5.80 inference(unit_resolution,[status(thm)],[11066, 11065])).
% 5.63/5.80 tff(11068,plain,
% 5.63/5.80 (mult(a, mult(mult(a, c), mult(b, a))) = mult(mult(a, mult(b, a)), mult(a, c))),
% 5.63/5.80 inference(symmetry,[status(thm)],[11067])).
% 5.63/5.80 tff(11069,plain,
% 5.63/5.80 (mult(a, mult(c, mult(b, a))) = mult(mult(a, c), mult(b, a))),
% 5.63/5.80 inference(symmetry,[status(thm)],[10728])).
% 5.63/5.80 tff(11070,plain,
% 5.63/5.80 (mult(a, mult(mult(c, a), b)) = mult(mult(a, c), mult(b, a))),
% 5.63/5.80 inference(transitivity,[status(thm)],[2430, 11069])).
% 5.63/5.80 tff(11071,plain,
% 5.63/5.80 (mult(a, mult(a, mult(mult(c, a), b))) = mult(a, mult(mult(a, c), mult(b, a)))),
% 5.63/5.80 inference(monotonicity,[status(thm)],[11070])).
% 5.63/5.80 tff(11072,assumption,(mult(mult(a, a), mult(mult(c, a), b)) = mult(a, mult(a, mult(mult(c, a), b)))), introduced(assumption)).
% 5.63/5.80 tff(11073,plain,
% 5.63/5.80 (mult(mult(a, a), mult(c, mult(b, a))) = mult(mult(a, a), mult(mult(c, a), b))),
% 5.63/5.80 inference(monotonicity,[status(thm)],[382])).
% 5.63/5.80 tff(11074,plain,
% 5.63/5.80 (mult(mult(a, a), mult(c, mult(b, a))) = mult(mult(a, mult(b, a)), mult(a, c))),
% 5.63/5.80 inference(transitivity,[status(thm)],[11073, 11072, 11071, 11068])).
% 5.63/5.80 tff(11075,plain,
% 5.63/5.80 (((~(mult(mult(a, mult(a, c)), mult(b, a)) = mult(a, mult(mult(b, a), mult(a, c))))) | (~(mult(mult(a, mult(b, a)), mult(a, c)) = mult(a, mult(mult(a, c), mult(b, a)))))) | (mult(mult(a, mult(a, c)), mult(b, a)) = mult(a, mult(mult(b, a), mult(a, c))))),
% 5.63/5.80 inference(tautology,[status(thm)],[])).
% 5.63/5.80 tff(11076,plain,
% 5.63/5.80 (mult(mult(a, mult(a, c)), mult(b, a)) = mult(a, mult(mult(b, a), mult(a, c)))),
% 5.63/5.80 inference(unit_resolution,[status(thm)],[11075, 11065])).
% 5.63/5.80 tff(11077,plain,
% 5.63/5.80 (mult(a, mult(mult(a, c), b)) = mult(a, mult(a, mult(c, b)))),
% 5.63/5.80 inference(monotonicity,[status(thm)],[8955])).
% 5.63/5.80 tff(11078,plain,
% 5.63/5.80 (mult(a, mult(a, mult(c, b))) = mult(a, mult(mult(a, c), b))),
% 5.63/5.80 inference(symmetry,[status(thm)],[11077])).
% 5.63/5.80 tff(11079,plain,
% 5.63/5.80 (mult(mult(mult(a, a), c), b) = mult(mult(a, mult(a, c)), b)),
% 5.63/5.80 inference(transitivity,[status(thm)],[789, 8185, 11078, 939])).
% 5.63/5.80 tff(11080,plain,
% 5.63/5.80 (rd(mult(mult(mult(a, a), c), b), b) = rd(mult(mult(a, mult(a, c)), b), b)),
% 5.63/5.80 inference(monotonicity,[status(thm)],[11079])).
% 5.63/5.80 tff(11081,plain,
% 5.63/5.80 (mult(mult(a, a), c) = mult(a, mult(a, c))),
% 5.63/5.80 inference(transitivity,[status(thm)],[5380, 11080, 908])).
% 5.63/5.80 tff(11082,plain,
% 5.63/5.80 (mult(mult(mult(a, a), c), mult(b, a)) = mult(mult(a, mult(a, c)), mult(b, a))),
% 5.63/5.80 inference(monotonicity,[status(thm)],[11081])).
% 5.63/5.80 tff(11083,plain,
% 5.63/5.80 (mult(mult(mult(a, a), c), mult(b, a)) = mult(a, mult(mult(b, a), mult(a, c)))),
% 5.63/5.80 inference(transitivity,[status(thm)],[11082, 11076])).
% 5.63/5.80 tff(11084,plain,
% 5.63/5.80 ((mult(mult(mult(a, a), c), mult(b, a)) = mult(mult(a, a), mult(c, mult(b, a)))) <=> (mult(a, mult(mult(b, a), mult(a, c))) = mult(mult(a, mult(b, a)), mult(a, c)))),
% 5.63/5.80 inference(monotonicity,[status(thm)],[11083, 11074])).
% 5.63/5.80 tff(11085,plain,
% 5.63/5.80 ((mult(mult(mult(a, a), c), mult(b, a)) = mult(mult(a, a), mult(c, mult(b, a)))) <=> (mult(mult(a, mult(b, a)), mult(a, c)) = mult(a, mult(mult(b, a), mult(a, c))))),
% 5.63/5.80 inference(transitivity,[status(thm)],[11084, 11057])).
% 5.63/5.80 tff(11086,plain,
% 5.63/5.80 ((mult(mult(a, mult(b, a)), mult(a, c)) = mult(a, mult(mult(b, a), mult(a, c)))) <=> (mult(mult(mult(a, a), c), mult(b, a)) = mult(mult(a, a), mult(c, mult(b, a))))),
% 5.63/5.80 inference(symmetry,[status(thm)],[11085])).
% 5.63/5.80 tff(11087,plain,
% 5.63/5.80 ((~(mult(mult(a, mult(b, a)), mult(a, c)) = mult(a, mult(mult(b, a), mult(a, c))))) <=> (~(mult(mult(mult(a, a), c), mult(b, a)) = mult(mult(a, a), mult(c, mult(b, a)))))),
% 5.63/5.80 inference(monotonicity,[status(thm)],[11086])).
% 5.63/5.80 tff(11088,plain,
% 5.63/5.80 (~(mult(mult(mult(a, a), c), mult(b, a)) = mult(mult(a, a), mult(c, mult(b, a))))),
% 5.63/5.80 inference(modus_ponens,[status(thm)],[11058, 11087])).
% 5.63/5.80 tff(11089,plain,
% 5.63/5.80 (((~(mult(mult(mult(a, a), c), mult(b, a)) = mult(mult(a, a), mult(c, mult(b, a))))) | (~(mult(mult(mult(a, a), mult(b, a)), c) = mult(mult(a, a), mult(mult(b, a), c))))) | (mult(mult(mult(a, a), c), mult(b, a)) = mult(mult(a, a), mult(c, mult(b, a))))),
% 5.63/5.80 inference(tautology,[status(thm)],[])).
% 5.63/5.80 tff(11090,plain,
% 5.63/5.80 ((~(mult(mult(mult(a, a), c), mult(b, a)) = mult(mult(a, a), mult(c, mult(b, a))))) | (~(mult(mult(mult(a, a), mult(b, a)), c) = mult(mult(a, a), mult(mult(b, a), c))))),
% 5.63/5.80 inference(unit_resolution,[status(thm)],[11089, 11088])).
% 5.63/5.80 tff(11091,plain,
% 5.63/5.80 ((mult(a, mult(a, mult(b, mult(c, a)))) = mult(mult(a, mult(b, mult(c, a))), a)) <=> (mult(mult(a, mult(b, mult(c, a))), a) = mult(a, mult(a, mult(b, mult(c, a)))))),
% 5.63/5.80 inference(commutativity,[status(thm)],[])).
% 5.63/5.80 tff(11092,plain,
% 5.63/5.80 (mult(a, mult(b, mult(c, a))) = mult(mult(mult(a, b), a), c)),
% 5.63/5.80 inference(transitivity,[status(thm)],[3682, 9223])).
% 5.63/5.80 tff(11093,plain,
% 5.63/5.80 (mult(mult(a, mult(b, mult(c, a))), a) = mult(mult(mult(mult(a, b), a), c), a)),
% 5.63/5.80 inference(monotonicity,[status(thm)],[11092])).
% 5.63/5.80 tff(11094,plain,
% 5.63/5.80 (mult(mult(mult(mult(a, b), a), c), a) = mult(mult(a, mult(b, mult(c, a))), a)),
% 5.63/5.80 inference(symmetry,[status(thm)],[11093])).
% 5.63/5.80 tff(11095,plain,
% 5.63/5.80 ((~![C: $i, B: $i, A: $i] : (mult(mult(mult(A, B), C), B) = mult(A, mult(mult(B, C), B)))) | (mult(mult(mult(mult(a, b), a), c), a) = mult(mult(a, b), mult(mult(a, c), a)))),
% 5.63/5.80 inference(quant_inst,[status(thm)],[])).
% 5.63/5.80 tff(11096,plain,
% 5.63/5.80 (mult(mult(mult(mult(a, b), a), c), a) = mult(mult(a, b), mult(mult(a, c), a))),
% 5.63/5.80 inference(unit_resolution,[status(thm)],[11095, 860])).
% 5.63/5.80 tff(11097,plain,
% 5.63/5.80 (mult(mult(a, b), mult(mult(a, c), a)) = mult(mult(mult(mult(a, b), a), c), a)),
% 5.63/5.80 inference(symmetry,[status(thm)],[11096])).
% 5.63/5.80 tff(11098,plain,
% 5.63/5.80 (mult(mult(a, a), mult(c, mult(b, a))) = mult(mult(a, mult(b, mult(c, a))), a)),
% 5.63/5.80 inference(transitivity,[status(thm)],[11073, 11072, 11071, 11068, 11015, 11017, 11097, 11094])).
% 5.63/5.80 tff(11099,plain,
% 5.63/5.80 (mult(a, mult(a, mult(b, mult(c, a)))) = mult(a, mult(mult(mult(a, b), a), c))),
% 5.63/5.80 inference(monotonicity,[status(thm)],[11092])).
% 5.63/5.80 tff(11100,plain,
% 5.63/5.80 (mult(a, mult(mult(mult(a, b), a), c)) = mult(a, mult(a, mult(b, mult(c, a))))),
% 5.63/5.80 inference(symmetry,[status(thm)],[11099])).
% 5.63/5.80 tff(11101,plain,
% 5.63/5.80 (mult(mult(a, a), mult(b, a)) = mult(a, mult(mult(a, b), a))),
% 5.63/5.80 inference(transitivity,[status(thm)],[11024, 7622])).
% 5.63/5.80 tff(11102,plain,
% 5.63/5.80 (mult(mult(mult(a, a), mult(b, a)), c) = mult(mult(a, mult(mult(a, b), a)), c)),
% 5.63/5.80 inference(monotonicity,[status(thm)],[11101])).
% 5.63/5.80 tff(11103,plain,
% 5.63/5.80 (mult(mult(mult(a, a), mult(b, a)), c) = mult(a, mult(a, mult(b, mult(c, a))))),
% 5.63/5.80 inference(transitivity,[status(thm)],[11102, 10896, 11100])).
% 5.63/5.80 tff(11104,plain,
% 5.63/5.80 ((mult(mult(mult(a, a), mult(b, a)), c) = mult(mult(a, a), mult(c, mult(b, a)))) <=> (mult(a, mult(a, mult(b, mult(c, a)))) = mult(mult(a, mult(b, mult(c, a))), a))),
% 5.63/5.80 inference(monotonicity,[status(thm)],[11103, 11098])).
% 5.63/5.80 tff(11105,plain,
% 5.63/5.80 ((mult(mult(mult(a, a), mult(b, a)), c) = mult(mult(a, a), mult(c, mult(b, a)))) <=> (mult(mult(a, mult(b, mult(c, a))), a) = mult(a, mult(a, mult(b, mult(c, a)))))),
% 5.63/5.80 inference(transitivity,[status(thm)],[11104, 11091])).
% 5.63/5.80 tff(11106,plain,
% 5.63/5.80 ((mult(mult(a, mult(b, mult(c, a))), a) = mult(a, mult(a, mult(b, mult(c, a))))) <=> (mult(mult(mult(a, a), mult(b, a)), c) = mult(mult(a, a), mult(c, mult(b, a))))),
% 5.63/5.80 inference(symmetry,[status(thm)],[11105])).
% 5.63/5.80 tff(11107,plain,
% 5.63/5.80 ((~(mult(mult(a, mult(b, mult(c, a))), a) = mult(a, mult(a, mult(b, mult(c, a)))))) <=> (~(mult(mult(mult(a, a), mult(b, a)), c) = mult(mult(a, a), mult(c, mult(b, a)))))),
% 5.63/5.80 inference(monotonicity,[status(thm)],[11106])).
% 5.63/5.80 tff(11108,plain,
% 5.63/5.80 (~(mult(mult(mult(a, a), mult(b, a)), c) = mult(mult(a, a), mult(c, mult(b, a))))),
% 5.63/5.80 inference(modus_ponens,[status(thm)],[11027, 11107])).
% 5.63/5.80 tff(11109,plain,
% 5.63/5.80 (((~(mult(mult(mult(a, a), c), mult(b, a)) = mult(mult(a, a), mult(mult(b, a), c)))) | (~(mult(mult(mult(a, a), mult(b, a)), c) = mult(mult(a, a), mult(c, mult(b, a)))))) | (mult(mult(mult(a, a), mult(b, a)), c) = mult(mult(a, a), mult(c, mult(b, a))))),
% 5.63/5.80 inference(tautology,[status(thm)],[])).
% 5.63/5.80 tff(11110,plain,
% 5.63/5.80 ((~(mult(mult(mult(a, a), c), mult(b, a)) = mult(mult(a, a), mult(mult(b, a), c)))) | (~(mult(mult(mult(a, a), mult(b, a)), c) = mult(mult(a, a), mult(c, mult(b, a)))))),
% 5.63/5.80 inference(unit_resolution,[status(thm)],[11109, 11108])).
% 5.63/5.80 tff(11111,plain,
% 5.63/5.80 (((~![X0: $i, X1: $i, X2: $i] : ((~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X2, X1)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X1, X2)))))) | (~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X1, X2)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X2, X1)))))))) | ((~((~(mult(mult(mult(a, a), c), mult(b, a)) = mult(mult(a, a), mult(c, mult(b, a))))) | (~(mult(mult(mult(a, a), mult(b, a)), c) = mult(mult(a, a), mult(mult(b, a), c)))))) | (~((~(mult(mult(mult(a, a), c), mult(b, a)) = mult(mult(a, a), mult(mult(b, a), c)))) | (~(mult(mult(mult(a, a), mult(b, a)), c) = mult(mult(a, a), mult(c, mult(b, a))))))))) <=> ((~![X0: $i, X1: $i, X2: $i] : ((~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X2, X1)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X1, X2)))))) | (~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X1, X2)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X2, X1)))))))) | (~((~(mult(mult(mult(a, a), c), mult(b, a)) = mult(mult(a, a), mult(c, mult(b, a))))) | (~(mult(mult(mult(a, a), mult(b, a)), c) = mult(mult(a, a), mult(mult(b, a), c)))))) | (~((~(mult(mult(mult(a, a), c), mult(b, a)) = mult(mult(a, a), mult(mult(b, a), c)))) | (~(mult(mult(mult(a, a), mult(b, a)), c) = mult(mult(a, a), mult(c, mult(b, a))))))))),
% 5.63/5.80 inference(rewrite,[status(thm)],[])).
% 5.63/5.80 tff(11112,plain,
% 5.63/5.80 (((~((~(mult(mult(mult(a, a), c), mult(b, a)) = mult(mult(a, a), mult(mult(b, a), c)))) | (~(mult(mult(mult(a, a), mult(b, a)), c) = mult(mult(a, a), mult(c, mult(b, a))))))) | (~((~(mult(mult(mult(a, a), c), mult(b, a)) = mult(mult(a, a), mult(c, mult(b, a))))) | (~(mult(mult(mult(a, a), mult(b, a)), c) = mult(mult(a, a), mult(mult(b, a), c))))))) <=> ((~((~(mult(mult(mult(a, a), c), mult(b, a)) = mult(mult(a, a), mult(c, mult(b, a))))) | (~(mult(mult(mult(a, a), mult(b, a)), c) = mult(mult(a, a), mult(mult(b, a), c)))))) | (~((~(mult(mult(mult(a, a), c), mult(b, a)) = mult(mult(a, a), mult(mult(b, a), c)))) | (~(mult(mult(mult(a, a), mult(b, a)), c) = mult(mult(a, a), mult(c, mult(b, a))))))))),
% 5.63/5.80 inference(rewrite,[status(thm)],[])).
% 5.63/5.80 tff(11113,plain,
% 5.63/5.80 (((~![X0: $i, X1: $i, X2: $i] : ((~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X2, X1)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X1, X2)))))) | (~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X1, X2)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X2, X1)))))))) | ((~((~(mult(mult(mult(a, a), c), mult(b, a)) = mult(mult(a, a), mult(mult(b, a), c)))) | (~(mult(mult(mult(a, a), mult(b, a)), c) = mult(mult(a, a), mult(c, mult(b, a))))))) | (~((~(mult(mult(mult(a, a), c), mult(b, a)) = mult(mult(a, a), mult(c, mult(b, a))))) | (~(mult(mult(mult(a, a), mult(b, a)), c) = mult(mult(a, a), mult(mult(b, a), c)))))))) <=> ((~![X0: $i, X1: $i, X2: $i] : ((~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X2, X1)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X1, X2)))))) | (~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X1, X2)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X2, X1)))))))) | ((~((~(mult(mult(mult(a, a), c), mult(b, a)) = mult(mult(a, a), mult(c, mult(b, a))))) | (~(mult(mult(mult(a, a), mult(b, a)), c) = mult(mult(a, a), mult(mult(b, a), c)))))) | (~((~(mult(mult(mult(a, a), c), mult(b, a)) = mult(mult(a, a), mult(mult(b, a), c)))) | (~(mult(mult(mult(a, a), mult(b, a)), c) = mult(mult(a, a), mult(c, mult(b, a)))))))))),
% 5.63/5.80 inference(monotonicity,[status(thm)],[11112])).
% 5.63/5.80 tff(11114,plain,
% 5.63/5.80 (((~![X0: $i, X1: $i, X2: $i] : ((~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X2, X1)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X1, X2)))))) | (~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X1, X2)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X2, X1)))))))) | ((~((~(mult(mult(mult(a, a), c), mult(b, a)) = mult(mult(a, a), mult(mult(b, a), c)))) | (~(mult(mult(mult(a, a), mult(b, a)), c) = mult(mult(a, a), mult(c, mult(b, a))))))) | (~((~(mult(mult(mult(a, a), c), mult(b, a)) = mult(mult(a, a), mult(c, mult(b, a))))) | (~(mult(mult(mult(a, a), mult(b, a)), c) = mult(mult(a, a), mult(mult(b, a), c)))))))) <=> ((~![X0: $i, X1: $i, X2: $i] : ((~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X2, X1)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X1, X2)))))) | (~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X1, X2)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X2, X1)))))))) | (~((~(mult(mult(mult(a, a), c), mult(b, a)) = mult(mult(a, a), mult(c, mult(b, a))))) | (~(mult(mult(mult(a, a), mult(b, a)), c) = mult(mult(a, a), mult(mult(b, a), c)))))) | (~((~(mult(mult(mult(a, a), c), mult(b, a)) = mult(mult(a, a), mult(mult(b, a), c)))) | (~(mult(mult(mult(a, a), mult(b, a)), c) = mult(mult(a, a), mult(c, mult(b, a))))))))),
% 5.63/5.81 inference(transitivity,[status(thm)],[11113, 11111])).
% 5.63/5.81 tff(11115,plain,
% 5.63/5.81 ((~![X0: $i, X1: $i, X2: $i] : ((~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X2, X1)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X1, X2)))))) | (~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X1, X2)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X2, X1)))))))) | ((~((~(mult(mult(mult(a, a), c), mult(b, a)) = mult(mult(a, a), mult(mult(b, a), c)))) | (~(mult(mult(mult(a, a), mult(b, a)), c) = mult(mult(a, a), mult(c, mult(b, a))))))) | (~((~(mult(mult(mult(a, a), c), mult(b, a)) = mult(mult(a, a), mult(c, mult(b, a))))) | (~(mult(mult(mult(a, a), mult(b, a)), c) = mult(mult(a, a), mult(mult(b, a), c)))))))),
% 5.63/5.81 inference(quant_inst,[status(thm)],[])).
% 5.63/5.81 tff(11116,plain,
% 5.63/5.81 ((~![X0: $i, X1: $i, X2: $i] : ((~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X2, X1)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X1, X2)))))) | (~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X1, X2)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X2, X1)))))))) | (~((~(mult(mult(mult(a, a), c), mult(b, a)) = mult(mult(a, a), mult(c, mult(b, a))))) | (~(mult(mult(mult(a, a), mult(b, a)), c) = mult(mult(a, a), mult(mult(b, a), c)))))) | (~((~(mult(mult(mult(a, a), c), mult(b, a)) = mult(mult(a, a), mult(mult(b, a), c)))) | (~(mult(mult(mult(a, a), mult(b, a)), c) = mult(mult(a, a), mult(c, mult(b, a)))))))),
% 5.63/5.81 inference(modus_ponens,[status(thm)],[11115, 11114])).
% 5.63/5.81 tff(11117,plain,
% 5.63/5.81 ((~((~(mult(mult(mult(a, a), c), mult(b, a)) = mult(mult(a, a), mult(c, mult(b, a))))) | (~(mult(mult(mult(a, a), mult(b, a)), c) = mult(mult(a, a), mult(mult(b, a), c)))))) | (~((~(mult(mult(mult(a, a), c), mult(b, a)) = mult(mult(a, a), mult(mult(b, a), c)))) | (~(mult(mult(mult(a, a), mult(b, a)), c) = mult(mult(a, a), mult(c, mult(b, a)))))))),
% 5.63/5.81 inference(unit_resolution,[status(thm)],[11116, 30])).
% 5.63/5.81 tff(11118,plain,
% 5.63/5.81 ($false),
% 5.63/5.81 inference(unit_resolution,[status(thm)],[11117, 11110, 11090])).
% 5.63/5.81 tff(11119,plain,((~(mult(mult(a, a), mult(mult(c, a), b)) = mult(a, mult(a, mult(mult(c, a), b))))) | (mult(mult(a, mult(b, mult(c, a))), a) = mult(a, mult(a, mult(b, mult(c, a))))) | (~(mult(mult(mult(a, b), a), mult(a, c)) = mult(mult(a, b), mult(mult(a, c), a)))) | (~(mult(mult(c, a), b) = mult(c, mult(b, a)))) | (~(mult(mult(a, b), mult(c, a)) = mult(a, mult(b, mult(c, a))))) | (~(mult(mult(a, mult(mult(a, b), a)), c) = mult(a, mult(mult(mult(a, b), a), c)))) | (~(mult(mult(a, a), mult(b, a)) = mult(a, mult(a, mult(b, a))))) | (mult(mult(a, mult(b, a)), mult(a, c)) = mult(a, mult(mult(b, a), mult(a, c)))) | (~(mult(mult(a, mult(a, c)), b) = mult(a, mult(mult(a, c), b)))) | (~(mult(mult(mult(a, a), c), b) = mult(mult(a, a), mult(c, b))))), inference(lemma,lemma(discharge,[]))).
% 5.63/5.81 tff(11120,plain,
% 5.63/5.81 (mult(mult(a, mult(b, a)), mult(a, c)) = mult(a, mult(mult(b, a), mult(a, c)))),
% 5.63/5.81 inference(unit_resolution,[status(thm)],[11119, 11027, 11017, 342, 754, 11056, 11024, 11055, 11028, 789])).
% 5.63/5.81 tff(11121,plain,
% 5.63/5.81 (mult(mult(a, b), mult(a, c)) = mult(a, mult(b, mult(a, c)))),
% 5.63/5.81 inference(unit_resolution,[status(thm)],[10431, 10912, 168])).
% 5.63/5.81 tff(11122,plain,
% 5.63/5.81 ((mult(a, mult(b, mult(c, a))) = mult(mult(mult(a, b), c), a)) <=> (mult(mult(mult(a, b), a), c) = mult(mult(a, b), mult(a, c)))),
% 5.63/5.81 inference(monotonicity,[status(thm)],[11092, 168])).
% 5.63/5.81 tff(11123,plain,
% 5.63/5.81 ((~(mult(a, mult(b, mult(c, a))) = mult(mult(mult(a, b), c), a))) <=> (~(mult(mult(mult(a, b), a), c) = mult(mult(a, b), mult(a, c))))),
% 5.63/5.81 inference(monotonicity,[status(thm)],[11122])).
% 5.63/5.81 tff(11124,plain,
% 5.63/5.81 (~(mult(mult(mult(a, b), a), c) = mult(mult(a, b), mult(a, c)))),
% 5.63/5.81 inference(modus_ponens,[status(thm)],[194, 11123])).
% 5.63/5.81 tff(11125,plain,
% 5.63/5.81 (mult(mult(mult(a, b), a), c) = mult(mult(a, b), mult(a, c))),
% 5.63/5.81 inference(transitivity,[status(thm)],[9222, 754, 1196, 5377, 405])).
% 5.63/5.81 tff(11126,plain,
% 5.63/5.81 ($false),
% 5.63/5.81 inference(unit_resolution,[status(thm)],[2880, 11125])).
% 5.63/5.81 tff(11127,plain,((~(mult(mult(b, c), a) = mult(b, mult(c, a)))) | (mult(mult(mult(a, b), a), c) = mult(mult(a, b), mult(a, c))) | (~(mult(mult(a, b), mult(a, c)) = mult(a, mult(b, mult(a, c))))) | (~(mult(mult(a, b), mult(c, a)) = mult(a, mult(b, mult(c, a)))))), inference(lemma,lemma(discharge,[]))).
% 5.63/5.81 tff(11128,plain,
% 5.63/5.81 (~(mult(mult(b, c), a) = mult(b, mult(c, a)))),
% 5.63/5.81 inference(unit_resolution,[status(thm)],[11127, 11124, 11121, 754])).
% 5.63/5.81 tff(11129,plain,
% 5.63/5.81 ((~![B: $i, A: $i] : (ld(A, mult(A, B)) = B)) | (ld(mult(b, a), mult(mult(b, a), mult(c, mult(mult(a, b), a)))) = mult(c, mult(mult(a, b), a)))),
% 5.63/5.81 inference(quant_inst,[status(thm)],[])).
% 5.63/5.81 tff(11130,plain,
% 5.63/5.81 (ld(mult(b, a), mult(mult(b, a), mult(c, mult(mult(a, b), a)))) = mult(c, mult(mult(a, b), a))),
% 5.63/5.81 inference(unit_resolution,[status(thm)],[11129, 9])).
% 5.63/5.81 tff(11131,assumption,(mult(mult(mult(b, mult(c, a)), a), mult(b, a)) = mult(mult(b, mult(c, a)), mult(a, mult(b, a)))), introduced(assumption)).
% 5.63/5.81 tff(11132,plain,
% 5.63/5.81 ((~![B: $i, A: $i] : (ld(A, mult(A, B)) = B)) | (ld(mult(b, a), mult(mult(b, a), mult(a, mult(mult(c, a), b)))) = mult(a, mult(mult(c, a), b)))),
% 5.63/5.81 inference(quant_inst,[status(thm)],[])).
% 5.63/5.81 tff(11133,plain,
% 5.63/5.81 (ld(mult(b, a), mult(mult(b, a), mult(a, mult(mult(c, a), b)))) = mult(a, mult(mult(c, a), b))),
% 5.63/5.81 inference(unit_resolution,[status(thm)],[11132, 9])).
% 5.63/5.81 tff(11134,plain,
% 5.63/5.81 (mult(mult(b, a), mult(a, mult(mult(c, a), b))) = mult(mult(b, a), mult(mult(a, c), mult(b, a)))),
% 5.63/5.81 inference(monotonicity,[status(thm)],[11032])).
% 5.63/5.81 tff(11135,plain,
% 5.63/5.81 (mult(mult(b, a), mult(mult(a, c), mult(b, a))) = mult(mult(b, a), mult(a, mult(mult(c, a), b)))),
% 5.63/5.81 inference(symmetry,[status(thm)],[11134])).
% 5.63/5.81 tff(11136,assumption,(~(mult(mult(mult(b, a), mult(a, c)), mult(b, a)) = mult(mult(b, a), mult(mult(b, a), mult(a, c))))), introduced(assumption)).
% 5.63/5.81 tff(11137,plain,
% 5.63/5.81 (((~(mult(mult(mult(b, a), mult(b, a)), mult(a, c)) = mult(mult(b, a), mult(mult(a, c), mult(b, a))))) | (~(mult(mult(mult(b, a), mult(a, c)), mult(b, a)) = mult(mult(b, a), mult(mult(b, a), mult(a, c)))))) | (mult(mult(mult(b, a), mult(a, c)), mult(b, a)) = mult(mult(b, a), mult(mult(b, a), mult(a, c))))),
% 5.63/5.81 inference(tautology,[status(thm)],[])).
% 5.63/5.81 tff(11138,plain,
% 5.63/5.81 ((~(mult(mult(mult(b, a), mult(b, a)), mult(a, c)) = mult(mult(b, a), mult(mult(a, c), mult(b, a))))) | (~(mult(mult(mult(b, a), mult(a, c)), mult(b, a)) = mult(mult(b, a), mult(mult(b, a), mult(a, c)))))),
% 5.63/5.81 inference(unit_resolution,[status(thm)],[11137, 11136])).
% 5.63/5.81 tff(11139,plain,
% 5.63/5.81 (((~![X0: $i, X1: $i, X2: $i] : ((~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X2, X1)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X1, X2)))))) | (~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X1, X2)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X2, X1)))))))) | ((~((~(mult(mult(mult(b, a), mult(a, c)), mult(b, a)) = mult(mult(b, a), mult(mult(a, c), mult(b, a))))) | (~(mult(mult(mult(b, a), mult(b, a)), mult(a, c)) = mult(mult(b, a), mult(mult(b, a), mult(a, c))))))) | (~((~(mult(mult(mult(b, a), mult(b, a)), mult(a, c)) = mult(mult(b, a), mult(mult(a, c), mult(b, a))))) | (~(mult(mult(mult(b, a), mult(a, c)), mult(b, a)) = mult(mult(b, a), mult(mult(b, a), mult(a, c))))))))) <=> ((~![X0: $i, X1: $i, X2: $i] : ((~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X2, X1)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X1, X2)))))) | (~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X1, X2)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X2, X1)))))))) | (~((~(mult(mult(mult(b, a), mult(a, c)), mult(b, a)) = mult(mult(b, a), mult(mult(a, c), mult(b, a))))) | (~(mult(mult(mult(b, a), mult(b, a)), mult(a, c)) = mult(mult(b, a), mult(mult(b, a), mult(a, c))))))) | (~((~(mult(mult(mult(b, a), mult(b, a)), mult(a, c)) = mult(mult(b, a), mult(mult(a, c), mult(b, a))))) | (~(mult(mult(mult(b, a), mult(a, c)), mult(b, a)) = mult(mult(b, a), mult(mult(b, a), mult(a, c))))))))),
% 5.63/5.81 inference(rewrite,[status(thm)],[])).
% 5.63/5.81 tff(11140,plain,
% 5.63/5.81 (((~((~(mult(mult(mult(b, a), mult(b, a)), mult(a, c)) = mult(mult(b, a), mult(mult(a, c), mult(b, a))))) | (~(mult(mult(mult(b, a), mult(a, c)), mult(b, a)) = mult(mult(b, a), mult(mult(b, a), mult(a, c))))))) | (~((~(mult(mult(mult(b, a), mult(a, c)), mult(b, a)) = mult(mult(b, a), mult(mult(a, c), mult(b, a))))) | (~(mult(mult(mult(b, a), mult(b, a)), mult(a, c)) = mult(mult(b, a), mult(mult(b, a), mult(a, c)))))))) <=> ((~((~(mult(mult(mult(b, a), mult(a, c)), mult(b, a)) = mult(mult(b, a), mult(mult(a, c), mult(b, a))))) | (~(mult(mult(mult(b, a), mult(b, a)), mult(a, c)) = mult(mult(b, a), mult(mult(b, a), mult(a, c))))))) | (~((~(mult(mult(mult(b, a), mult(b, a)), mult(a, c)) = mult(mult(b, a), mult(mult(a, c), mult(b, a))))) | (~(mult(mult(mult(b, a), mult(a, c)), mult(b, a)) = mult(mult(b, a), mult(mult(b, a), mult(a, c))))))))),
% 5.63/5.81 inference(rewrite,[status(thm)],[])).
% 5.63/5.81 tff(11141,plain,
% 5.63/5.81 ((~((~(mult(mult(mult(b, a), mult(b, a)), mult(a, c)) = mult(mult(b, a), mult(mult(b, a), mult(a, c))))) | (~(mult(mult(mult(b, a), mult(a, c)), mult(b, a)) = mult(mult(b, a), mult(mult(a, c), mult(b, a))))))) <=> (~((~(mult(mult(mult(b, a), mult(a, c)), mult(b, a)) = mult(mult(b, a), mult(mult(a, c), mult(b, a))))) | (~(mult(mult(mult(b, a), mult(b, a)), mult(a, c)) = mult(mult(b, a), mult(mult(b, a), mult(a, c)))))))),
% 5.63/5.81 inference(rewrite,[status(thm)],[])).
% 5.63/5.81 tff(11142,plain,
% 5.63/5.81 ((~((~(mult(mult(mult(b, a), mult(b, a)), mult(a, c)) = mult(mult(b, a), mult(mult(a, c), mult(b, a))))) | (~(mult(mult(mult(b, a), mult(a, c)), mult(b, a)) = mult(mult(b, a), mult(mult(b, a), mult(a, c))))))) <=> (~((~(mult(mult(mult(b, a), mult(b, a)), mult(a, c)) = mult(mult(b, a), mult(mult(a, c), mult(b, a))))) | (~(mult(mult(mult(b, a), mult(a, c)), mult(b, a)) = mult(mult(b, a), mult(mult(b, a), mult(a, c)))))))),
% 5.63/5.81 inference(rewrite,[status(thm)],[])).
% 5.63/5.81 tff(11143,plain,
% 5.63/5.81 (((~((~(mult(mult(mult(b, a), mult(b, a)), mult(a, c)) = mult(mult(b, a), mult(mult(a, c), mult(b, a))))) | (~(mult(mult(mult(b, a), mult(a, c)), mult(b, a)) = mult(mult(b, a), mult(mult(b, a), mult(a, c))))))) | (~((~(mult(mult(mult(b, a), mult(b, a)), mult(a, c)) = mult(mult(b, a), mult(mult(b, a), mult(a, c))))) | (~(mult(mult(mult(b, a), mult(a, c)), mult(b, a)) = mult(mult(b, a), mult(mult(a, c), mult(b, a)))))))) <=> ((~((~(mult(mult(mult(b, a), mult(b, a)), mult(a, c)) = mult(mult(b, a), mult(mult(a, c), mult(b, a))))) | (~(mult(mult(mult(b, a), mult(a, c)), mult(b, a)) = mult(mult(b, a), mult(mult(b, a), mult(a, c))))))) | (~((~(mult(mult(mult(b, a), mult(a, c)), mult(b, a)) = mult(mult(b, a), mult(mult(a, c), mult(b, a))))) | (~(mult(mult(mult(b, a), mult(b, a)), mult(a, c)) = mult(mult(b, a), mult(mult(b, a), mult(a, c))))))))),
% 5.63/5.81 inference(monotonicity,[status(thm)],[11142, 11141])).
% 5.63/5.81 tff(11144,plain,
% 5.63/5.81 (((~((~(mult(mult(mult(b, a), mult(b, a)), mult(a, c)) = mult(mult(b, a), mult(mult(a, c), mult(b, a))))) | (~(mult(mult(mult(b, a), mult(a, c)), mult(b, a)) = mult(mult(b, a), mult(mult(b, a), mult(a, c))))))) | (~((~(mult(mult(mult(b, a), mult(b, a)), mult(a, c)) = mult(mult(b, a), mult(mult(b, a), mult(a, c))))) | (~(mult(mult(mult(b, a), mult(a, c)), mult(b, a)) = mult(mult(b, a), mult(mult(a, c), mult(b, a)))))))) <=> ((~((~(mult(mult(mult(b, a), mult(a, c)), mult(b, a)) = mult(mult(b, a), mult(mult(a, c), mult(b, a))))) | (~(mult(mult(mult(b, a), mult(b, a)), mult(a, c)) = mult(mult(b, a), mult(mult(b, a), mult(a, c))))))) | (~((~(mult(mult(mult(b, a), mult(b, a)), mult(a, c)) = mult(mult(b, a), mult(mult(a, c), mult(b, a))))) | (~(mult(mult(mult(b, a), mult(a, c)), mult(b, a)) = mult(mult(b, a), mult(mult(b, a), mult(a, c))))))))),
% 5.63/5.81 inference(transitivity,[status(thm)],[11143, 11140])).
% 5.63/5.81 tff(11145,plain,
% 5.63/5.81 (((~![X0: $i, X1: $i, X2: $i] : ((~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X2, X1)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X1, X2)))))) | (~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X1, X2)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X2, X1)))))))) | ((~((~(mult(mult(mult(b, a), mult(b, a)), mult(a, c)) = mult(mult(b, a), mult(mult(a, c), mult(b, a))))) | (~(mult(mult(mult(b, a), mult(a, c)), mult(b, a)) = mult(mult(b, a), mult(mult(b, a), mult(a, c))))))) | (~((~(mult(mult(mult(b, a), mult(b, a)), mult(a, c)) = mult(mult(b, a), mult(mult(b, a), mult(a, c))))) | (~(mult(mult(mult(b, a), mult(a, c)), mult(b, a)) = mult(mult(b, a), mult(mult(a, c), mult(b, a))))))))) <=> ((~![X0: $i, X1: $i, X2: $i] : ((~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X2, X1)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X1, X2)))))) | (~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X1, X2)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X2, X1)))))))) | ((~((~(mult(mult(mult(b, a), mult(a, c)), mult(b, a)) = mult(mult(b, a), mult(mult(a, c), mult(b, a))))) | (~(mult(mult(mult(b, a), mult(b, a)), mult(a, c)) = mult(mult(b, a), mult(mult(b, a), mult(a, c))))))) | (~((~(mult(mult(mult(b, a), mult(b, a)), mult(a, c)) = mult(mult(b, a), mult(mult(a, c), mult(b, a))))) | (~(mult(mult(mult(b, a), mult(a, c)), mult(b, a)) = mult(mult(b, a), mult(mult(b, a), mult(a, c)))))))))),
% 5.63/5.81 inference(monotonicity,[status(thm)],[11144])).
% 5.63/5.81 tff(11146,plain,
% 5.63/5.81 (((~![X0: $i, X1: $i, X2: $i] : ((~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X2, X1)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X1, X2)))))) | (~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X1, X2)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X2, X1)))))))) | ((~((~(mult(mult(mult(b, a), mult(b, a)), mult(a, c)) = mult(mult(b, a), mult(mult(a, c), mult(b, a))))) | (~(mult(mult(mult(b, a), mult(a, c)), mult(b, a)) = mult(mult(b, a), mult(mult(b, a), mult(a, c))))))) | (~((~(mult(mult(mult(b, a), mult(b, a)), mult(a, c)) = mult(mult(b, a), mult(mult(b, a), mult(a, c))))) | (~(mult(mult(mult(b, a), mult(a, c)), mult(b, a)) = mult(mult(b, a), mult(mult(a, c), mult(b, a))))))))) <=> ((~![X0: $i, X1: $i, X2: $i] : ((~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X2, X1)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X1, X2)))))) | (~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X1, X2)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X2, X1)))))))) | (~((~(mult(mult(mult(b, a), mult(a, c)), mult(b, a)) = mult(mult(b, a), mult(mult(a, c), mult(b, a))))) | (~(mult(mult(mult(b, a), mult(b, a)), mult(a, c)) = mult(mult(b, a), mult(mult(b, a), mult(a, c))))))) | (~((~(mult(mult(mult(b, a), mult(b, a)), mult(a, c)) = mult(mult(b, a), mult(mult(a, c), mult(b, a))))) | (~(mult(mult(mult(b, a), mult(a, c)), mult(b, a)) = mult(mult(b, a), mult(mult(b, a), mult(a, c))))))))),
% 5.63/5.81 inference(transitivity,[status(thm)],[11145, 11139])).
% 5.63/5.81 tff(11147,plain,
% 5.63/5.81 ((~![X0: $i, X1: $i, X2: $i] : ((~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X2, X1)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X1, X2)))))) | (~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X1, X2)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X2, X1)))))))) | ((~((~(mult(mult(mult(b, a), mult(b, a)), mult(a, c)) = mult(mult(b, a), mult(mult(a, c), mult(b, a))))) | (~(mult(mult(mult(b, a), mult(a, c)), mult(b, a)) = mult(mult(b, a), mult(mult(b, a), mult(a, c))))))) | (~((~(mult(mult(mult(b, a), mult(b, a)), mult(a, c)) = mult(mult(b, a), mult(mult(b, a), mult(a, c))))) | (~(mult(mult(mult(b, a), mult(a, c)), mult(b, a)) = mult(mult(b, a), mult(mult(a, c), mult(b, a))))))))),
% 5.63/5.81 inference(quant_inst,[status(thm)],[])).
% 5.63/5.81 tff(11148,plain,
% 5.63/5.81 ((~![X0: $i, X1: $i, X2: $i] : ((~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X2, X1)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X1, X2)))))) | (~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X1, X2)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X2, X1)))))))) | (~((~(mult(mult(mult(b, a), mult(a, c)), mult(b, a)) = mult(mult(b, a), mult(mult(a, c), mult(b, a))))) | (~(mult(mult(mult(b, a), mult(b, a)), mult(a, c)) = mult(mult(b, a), mult(mult(b, a), mult(a, c))))))) | (~((~(mult(mult(mult(b, a), mult(b, a)), mult(a, c)) = mult(mult(b, a), mult(mult(a, c), mult(b, a))))) | (~(mult(mult(mult(b, a), mult(a, c)), mult(b, a)) = mult(mult(b, a), mult(mult(b, a), mult(a, c)))))))),
% 5.63/5.82 inference(modus_ponens,[status(thm)],[11147, 11146])).
% 5.63/5.82 tff(11149,plain,
% 5.63/5.82 ((~((~(mult(mult(mult(b, a), mult(a, c)), mult(b, a)) = mult(mult(b, a), mult(mult(a, c), mult(b, a))))) | (~(mult(mult(mult(b, a), mult(b, a)), mult(a, c)) = mult(mult(b, a), mult(mult(b, a), mult(a, c))))))) | (~((~(mult(mult(mult(b, a), mult(b, a)), mult(a, c)) = mult(mult(b, a), mult(mult(a, c), mult(b, a))))) | (~(mult(mult(mult(b, a), mult(a, c)), mult(b, a)) = mult(mult(b, a), mult(mult(b, a), mult(a, c)))))))),
% 5.63/5.82 inference(unit_resolution,[status(thm)],[11148, 30])).
% 5.63/5.82 tff(11150,plain,
% 5.63/5.82 (~((~(mult(mult(mult(b, a), mult(a, c)), mult(b, a)) = mult(mult(b, a), mult(mult(a, c), mult(b, a))))) | (~(mult(mult(mult(b, a), mult(b, a)), mult(a, c)) = mult(mult(b, a), mult(mult(b, a), mult(a, c))))))),
% 5.63/5.82 inference(unit_resolution,[status(thm)],[11149, 11138])).
% 5.63/5.82 tff(11151,plain,
% 5.63/5.82 (((~(mult(mult(mult(b, a), mult(a, c)), mult(b, a)) = mult(mult(b, a), mult(mult(a, c), mult(b, a))))) | (~(mult(mult(mult(b, a), mult(b, a)), mult(a, c)) = mult(mult(b, a), mult(mult(b, a), mult(a, c)))))) | (mult(mult(mult(b, a), mult(a, c)), mult(b, a)) = mult(mult(b, a), mult(mult(a, c), mult(b, a))))),
% 5.63/5.82 inference(tautology,[status(thm)],[])).
% 5.63/5.82 tff(11152,plain,
% 5.63/5.82 (mult(mult(mult(b, a), mult(a, c)), mult(b, a)) = mult(mult(b, a), mult(mult(a, c), mult(b, a)))),
% 5.63/5.82 inference(unit_resolution,[status(thm)],[11151, 11150])).
% 5.63/5.82 tff(11153,plain,
% 5.63/5.82 (mult(mult(b, mult(c, a)), mult(a, mult(b, a))) = mult(mult(mult(b, mult(c, a)), a), mult(b, a))),
% 5.63/5.82 inference(symmetry,[status(thm)],[11131])).
% 5.63/5.82 tff(11154,plain,
% 5.63/5.82 (mult(mult(b, mult(c, a)), mult(mult(a, b), a)) = mult(mult(b, mult(c, a)), mult(a, mult(b, a)))),
% 5.63/5.82 inference(monotonicity,[status(thm)],[4193])).
% 5.63/5.82 tff(11155,plain,
% 5.63/5.82 (mult(mult(mult(b, a), c), mult(mult(a, b), a)) = mult(mult(b, mult(c, a)), mult(mult(a, b), a))),
% 5.63/5.82 inference(monotonicity,[status(thm)],[3427])).
% 5.63/5.82 tff(11156,plain,
% 5.63/5.82 ((~![C: $i, B: $i, A: $i] : (mult(mult(mult(A, B), C), B) = mult(A, mult(mult(B, C), B)))) | (mult(mult(mult(b, a), mult(mult(c, a), b)), a) = mult(b, mult(mult(a, mult(mult(c, a), b)), a)))),
% 5.63/5.82 inference(quant_inst,[status(thm)],[])).
% 5.63/5.82 tff(11157,plain,
% 5.63/5.82 (mult(mult(mult(b, a), mult(mult(c, a), b)), a) = mult(b, mult(mult(a, mult(mult(c, a), b)), a))),
% 5.63/5.82 inference(unit_resolution,[status(thm)],[11156, 860])).
% 5.63/5.82 tff(11158,plain,
% 5.63/5.82 ((mult(b, mult(mult(a, mult(mult(c, a), b)), a)) = mult(mult(b, a), mult(a, mult(mult(c, a), b)))) <=> (mult(mult(b, a), mult(a, mult(mult(c, a), b))) = mult(b, mult(mult(a, mult(mult(c, a), b)), a)))),
% 5.63/5.82 inference(commutativity,[status(thm)],[])).
% 5.63/5.82 tff(11159,plain,
% 5.63/5.82 ((mult(mult(mult(b, a), mult(mult(c, a), b)), a) = mult(mult(b, a), mult(a, mult(mult(c, a), b)))) <=> (mult(b, mult(mult(a, mult(mult(c, a), b)), a)) = mult(mult(b, a), mult(a, mult(mult(c, a), b))))),
% 5.63/5.82 inference(monotonicity,[status(thm)],[11157])).
% 5.63/5.82 tff(11160,plain,
% 5.63/5.82 ((mult(mult(mult(b, a), mult(mult(c, a), b)), a) = mult(mult(b, a), mult(a, mult(mult(c, a), b)))) <=> (mult(mult(b, a), mult(a, mult(mult(c, a), b))) = mult(b, mult(mult(a, mult(mult(c, a), b)), a)))),
% 5.63/5.82 inference(transitivity,[status(thm)],[11159, 11158])).
% 5.63/5.82 tff(11161,plain,
% 5.63/5.82 ((mult(mult(b, a), mult(a, mult(mult(c, a), b))) = mult(b, mult(mult(a, mult(mult(c, a), b)), a))) <=> (mult(mult(mult(b, a), mult(mult(c, a), b)), a) = mult(mult(b, a), mult(a, mult(mult(c, a), b))))),
% 5.63/5.82 inference(symmetry,[status(thm)],[11160])).
% 5.63/5.82 tff(11162,plain,
% 5.63/5.82 ((~(mult(mult(b, a), mult(a, mult(mult(c, a), b))) = mult(b, mult(mult(a, mult(mult(c, a), b)), a)))) <=> (~(mult(mult(mult(b, a), mult(mult(c, a), b)), a) = mult(mult(b, a), mult(a, mult(mult(c, a), b)))))),
% 5.63/5.82 inference(monotonicity,[status(thm)],[11161])).
% 5.63/5.82 tff(11163,plain,
% 5.63/5.82 ((~![B: $i, A: $i] : (rd(mult(A, B), B) = A)) | (rd(mult(mult(b, mult(c, a)), mult(mult(a, b), a)), mult(mult(a, b), a)) = mult(b, mult(c, a)))),
% 5.63/5.82 inference(quant_inst,[status(thm)],[])).
% 5.63/5.82 tff(11164,plain,
% 5.63/5.82 (rd(mult(mult(b, mult(c, a)), mult(mult(a, b), a)), mult(mult(a, b), a)) = mult(b, mult(c, a))),
% 5.63/5.82 inference(unit_resolution,[status(thm)],[11163, 72])).
% 5.63/5.82 tff(11165,plain,
% 5.63/5.82 (mult(mult(b, mult(c, a)), mult(a, mult(b, a))) = mult(mult(b, mult(c, a)), mult(mult(a, b), a))),
% 5.63/5.82 inference(symmetry,[status(thm)],[11154])).
% 5.63/5.82 tff(11166,plain,
% 5.63/5.82 (mult(mult(b, a), mult(mult(a, c), mult(b, a))) = mult(mult(mult(b, a), mult(a, c)), mult(b, a))),
% 5.63/5.82 inference(symmetry,[status(thm)],[11152])).
% 5.63/5.82 tff(11167,assumption,(mult(mult(b, a), mult(a, mult(mult(c, a), b))) = mult(b, mult(mult(a, mult(mult(c, a), b)), a))), introduced(assumption)).
% 5.63/5.82 tff(11168,plain,
% 5.63/5.82 (mult(b, mult(mult(a, mult(mult(c, a), b)), a)) = mult(mult(b, a), mult(a, mult(mult(c, a), b)))),
% 5.63/5.82 inference(symmetry,[status(thm)],[11167])).
% 5.63/5.82 tff(11169,plain,
% 5.63/5.82 (mult(mult(mult(a, c), a), mult(a, b)) = mult(mult(a, mult(mult(c, a), b)), a)),
% 5.63/5.82 inference(transitivity,[status(thm)],[10864, 10732, 10826, 11034])).
% 5.63/5.82 tff(11170,plain,
% 5.63/5.82 (mult(b, mult(mult(mult(a, c), a), mult(a, b))) = mult(b, mult(mult(a, mult(mult(c, a), b)), a))),
% 5.63/5.82 inference(monotonicity,[status(thm)],[11169])).
% 5.63/5.82 tff(11171,plain,
% 5.63/5.82 (mult(mult(a, c), mult(mult(a, b), a)) = mult(mult(mult(a, c), a), mult(a, b))),
% 5.63/5.82 inference(symmetry,[status(thm)],[10864])).
% 5.63/5.82 tff(11172,plain,
% 5.63/5.82 (mult(b, mult(mult(a, c), mult(mult(a, b), a))) = mult(b, mult(mult(mult(a, c), a), mult(a, b)))),
% 5.63/5.82 inference(monotonicity,[status(thm)],[11171])).
% 5.63/5.82 tff(11173,plain,
% 5.63/5.82 ((mult(mult(b, a), mult(mult(b, a), mult(a, c))) = mult(mult(mult(b, a), mult(a, c)), mult(b, a))) <=> (mult(mult(mult(b, a), mult(a, c)), mult(b, a)) = mult(mult(b, a), mult(mult(b, a), mult(a, c))))),
% 5.63/5.82 inference(commutativity,[status(thm)],[])).
% 5.63/5.82 tff(11174,plain,
% 5.63/5.82 (mult(b, mult(mult(a, c), mult(mult(a, b), a))) = mult(mult(mult(b, a), mult(a, c)), mult(b, a))),
% 5.63/5.82 inference(transitivity,[status(thm)],[11172, 11170, 11168, 11134, 11166])).
% 5.63/5.82 tff(11175,plain,
% 5.63/5.82 (((~(mult(mult(mult(b, a), mult(a, c)), mult(b, a)) = mult(mult(b, a), mult(mult(a, c), mult(b, a))))) | (~(mult(mult(mult(b, a), mult(b, a)), mult(a, c)) = mult(mult(b, a), mult(mult(b, a), mult(a, c)))))) | (mult(mult(mult(b, a), mult(b, a)), mult(a, c)) = mult(mult(b, a), mult(mult(b, a), mult(a, c))))),
% 5.63/5.82 inference(tautology,[status(thm)],[])).
% 5.63/5.82 tff(11176,plain,
% 5.63/5.82 (mult(mult(mult(b, a), mult(b, a)), mult(a, c)) = mult(mult(b, a), mult(mult(b, a), mult(a, c)))),
% 5.63/5.82 inference(unit_resolution,[status(thm)],[11175, 11150])).
% 5.63/5.82 tff(11177,plain,
% 5.63/5.82 (mult(mult(b, a), mult(b, a)) = mult(mult(mult(b, a), b), a)),
% 5.63/5.82 inference(symmetry,[status(thm)],[11025])).
% 5.63/5.82 tff(11178,plain,
% 5.63/5.82 (mult(mult(b, a), mult(b, a)) = mult(b, mult(mult(a, b), a))),
% 5.63/5.82 inference(transitivity,[status(thm)],[11177, 10365])).
% 5.63/5.82 tff(11179,plain,
% 5.63/5.82 (mult(mult(mult(b, a), mult(b, a)), mult(a, c)) = mult(mult(b, mult(mult(a, b), a)), mult(a, c))),
% 5.63/5.82 inference(monotonicity,[status(thm)],[11178])).
% 5.63/5.82 tff(11180,plain,
% 5.63/5.82 (mult(mult(b, mult(mult(a, b), a)), mult(a, c)) = mult(mult(mult(b, a), mult(b, a)), mult(a, c))),
% 5.63/5.82 inference(symmetry,[status(thm)],[11179])).
% 5.63/5.82 tff(11181,plain,
% 5.63/5.82 (mult(mult(b, mult(mult(a, b), a)), mult(a, c)) = mult(mult(b, a), mult(mult(b, a), mult(a, c)))),
% 5.63/5.82 inference(transitivity,[status(thm)],[11180, 11176])).
% 5.63/5.82 tff(11182,plain,
% 5.63/5.82 ((mult(mult(b, mult(mult(a, b), a)), mult(a, c)) = mult(b, mult(mult(a, c), mult(mult(a, b), a)))) <=> (mult(mult(b, a), mult(mult(b, a), mult(a, c))) = mult(mult(mult(b, a), mult(a, c)), mult(b, a)))),
% 5.63/5.82 inference(monotonicity,[status(thm)],[11181, 11174])).
% 5.63/5.82 tff(11183,plain,
% 5.63/5.82 ((mult(mult(b, mult(mult(a, b), a)), mult(a, c)) = mult(b, mult(mult(a, c), mult(mult(a, b), a)))) <=> (mult(mult(mult(b, a), mult(a, c)), mult(b, a)) = mult(mult(b, a), mult(mult(b, a), mult(a, c))))),
% 5.63/5.82 inference(transitivity,[status(thm)],[11182, 11173])).
% 5.63/5.82 tff(11184,plain,
% 5.63/5.82 ((mult(mult(mult(b, a), mult(a, c)), mult(b, a)) = mult(mult(b, a), mult(mult(b, a), mult(a, c)))) <=> (mult(mult(b, mult(mult(a, b), a)), mult(a, c)) = mult(b, mult(mult(a, c), mult(mult(a, b), a))))),
% 5.63/5.82 inference(symmetry,[status(thm)],[11183])).
% 5.63/5.82 tff(11185,plain,
% 5.63/5.82 ((~(mult(mult(mult(b, a), mult(a, c)), mult(b, a)) = mult(mult(b, a), mult(mult(b, a), mult(a, c))))) <=> (~(mult(mult(b, mult(mult(a, b), a)), mult(a, c)) = mult(b, mult(mult(a, c), mult(mult(a, b), a)))))),
% 5.63/5.82 inference(monotonicity,[status(thm)],[11184])).
% 5.63/5.82 tff(11186,plain,
% 5.63/5.82 (~(mult(mult(b, mult(mult(a, b), a)), mult(a, c)) = mult(b, mult(mult(a, c), mult(mult(a, b), a))))),
% 5.63/5.82 inference(modus_ponens,[status(thm)],[11136, 11185])).
% 5.63/5.82 tff(11187,plain,
% 5.63/5.82 (((~(mult(mult(b, mult(a, c)), mult(mult(a, b), a)) = mult(b, mult(mult(mult(a, b), a), mult(a, c))))) | (~(mult(mult(b, mult(mult(a, b), a)), mult(a, c)) = mult(b, mult(mult(a, c), mult(mult(a, b), a)))))) | (mult(mult(b, mult(mult(a, b), a)), mult(a, c)) = mult(b, mult(mult(a, c), mult(mult(a, b), a))))),
% 5.63/5.82 inference(tautology,[status(thm)],[])).
% 5.63/5.82 tff(11188,plain,
% 5.63/5.82 ((~(mult(mult(b, mult(a, c)), mult(mult(a, b), a)) = mult(b, mult(mult(mult(a, b), a), mult(a, c))))) | (~(mult(mult(b, mult(mult(a, b), a)), mult(a, c)) = mult(b, mult(mult(a, c), mult(mult(a, b), a)))))),
% 5.63/5.82 inference(unit_resolution,[status(thm)],[11187, 11186])).
% 5.63/5.82 tff(11189,plain,
% 5.63/5.82 (((~![X0: $i, X1: $i, X2: $i] : ((~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X2, X1)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X1, X2)))))) | (~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X1, X2)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X2, X1)))))))) | ((~((~(mult(mult(b, mult(a, c)), mult(mult(a, b), a)) = mult(b, mult(mult(a, c), mult(mult(a, b), a))))) | (~(mult(mult(b, mult(mult(a, b), a)), mult(a, c)) = mult(b, mult(mult(mult(a, b), a), mult(a, c))))))) | (~((~(mult(mult(b, mult(a, c)), mult(mult(a, b), a)) = mult(b, mult(mult(mult(a, b), a), mult(a, c))))) | (~(mult(mult(b, mult(mult(a, b), a)), mult(a, c)) = mult(b, mult(mult(a, c), mult(mult(a, b), a))))))))) <=> ((~![X0: $i, X1: $i, X2: $i] : ((~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X2, X1)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X1, X2)))))) | (~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X1, X2)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X2, X1)))))))) | (~((~(mult(mult(b, mult(a, c)), mult(mult(a, b), a)) = mult(b, mult(mult(a, c), mult(mult(a, b), a))))) | (~(mult(mult(b, mult(mult(a, b), a)), mult(a, c)) = mult(b, mult(mult(mult(a, b), a), mult(a, c))))))) | (~((~(mult(mult(b, mult(a, c)), mult(mult(a, b), a)) = mult(b, mult(mult(mult(a, b), a), mult(a, c))))) | (~(mult(mult(b, mult(mult(a, b), a)), mult(a, c)) = mult(b, mult(mult(a, c), mult(mult(a, b), a))))))))),
% 5.63/5.82 inference(rewrite,[status(thm)],[])).
% 5.63/5.82 tff(11190,plain,
% 5.63/5.82 (((~((~(mult(mult(b, mult(a, c)), mult(mult(a, b), a)) = mult(b, mult(mult(mult(a, b), a), mult(a, c))))) | (~(mult(mult(b, mult(mult(a, b), a)), mult(a, c)) = mult(b, mult(mult(a, c), mult(mult(a, b), a))))))) | (~((~(mult(mult(b, mult(a, c)), mult(mult(a, b), a)) = mult(b, mult(mult(a, c), mult(mult(a, b), a))))) | (~(mult(mult(b, mult(mult(a, b), a)), mult(a, c)) = mult(b, mult(mult(mult(a, b), a), mult(a, c)))))))) <=> ((~((~(mult(mult(b, mult(a, c)), mult(mult(a, b), a)) = mult(b, mult(mult(a, c), mult(mult(a, b), a))))) | (~(mult(mult(b, mult(mult(a, b), a)), mult(a, c)) = mult(b, mult(mult(mult(a, b), a), mult(a, c))))))) | (~((~(mult(mult(b, mult(a, c)), mult(mult(a, b), a)) = mult(b, mult(mult(mult(a, b), a), mult(a, c))))) | (~(mult(mult(b, mult(mult(a, b), a)), mult(a, c)) = mult(b, mult(mult(a, c), mult(mult(a, b), a))))))))),
% 5.63/5.82 inference(rewrite,[status(thm)],[])).
% 5.63/5.82 tff(11191,plain,
% 5.63/5.82 (((~![X0: $i, X1: $i, X2: $i] : ((~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X2, X1)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X1, X2)))))) | (~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X1, X2)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X2, X1)))))))) | ((~((~(mult(mult(b, mult(a, c)), mult(mult(a, b), a)) = mult(b, mult(mult(mult(a, b), a), mult(a, c))))) | (~(mult(mult(b, mult(mult(a, b), a)), mult(a, c)) = mult(b, mult(mult(a, c), mult(mult(a, b), a))))))) | (~((~(mult(mult(b, mult(a, c)), mult(mult(a, b), a)) = mult(b, mult(mult(a, c), mult(mult(a, b), a))))) | (~(mult(mult(b, mult(mult(a, b), a)), mult(a, c)) = mult(b, mult(mult(mult(a, b), a), mult(a, c))))))))) <=> ((~![X0: $i, X1: $i, X2: $i] : ((~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X2, X1)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X1, X2)))))) | (~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X1, X2)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X2, X1)))))))) | ((~((~(mult(mult(b, mult(a, c)), mult(mult(a, b), a)) = mult(b, mult(mult(a, c), mult(mult(a, b), a))))) | (~(mult(mult(b, mult(mult(a, b), a)), mult(a, c)) = mult(b, mult(mult(mult(a, b), a), mult(a, c))))))) | (~((~(mult(mult(b, mult(a, c)), mult(mult(a, b), a)) = mult(b, mult(mult(mult(a, b), a), mult(a, c))))) | (~(mult(mult(b, mult(mult(a, b), a)), mult(a, c)) = mult(b, mult(mult(a, c), mult(mult(a, b), a)))))))))),
% 5.63/5.82 inference(monotonicity,[status(thm)],[11190])).
% 5.63/5.82 tff(11192,plain,
% 5.63/5.82 (((~![X0: $i, X1: $i, X2: $i] : ((~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X2, X1)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X1, X2)))))) | (~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X1, X2)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X2, X1)))))))) | ((~((~(mult(mult(b, mult(a, c)), mult(mult(a, b), a)) = mult(b, mult(mult(mult(a, b), a), mult(a, c))))) | (~(mult(mult(b, mult(mult(a, b), a)), mult(a, c)) = mult(b, mult(mult(a, c), mult(mult(a, b), a))))))) | (~((~(mult(mult(b, mult(a, c)), mult(mult(a, b), a)) = mult(b, mult(mult(a, c), mult(mult(a, b), a))))) | (~(mult(mult(b, mult(mult(a, b), a)), mult(a, c)) = mult(b, mult(mult(mult(a, b), a), mult(a, c))))))))) <=> ((~![X0: $i, X1: $i, X2: $i] : ((~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X2, X1)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X1, X2)))))) | (~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X1, X2)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X2, X1)))))))) | (~((~(mult(mult(b, mult(a, c)), mult(mult(a, b), a)) = mult(b, mult(mult(a, c), mult(mult(a, b), a))))) | (~(mult(mult(b, mult(mult(a, b), a)), mult(a, c)) = mult(b, mult(mult(mult(a, b), a), mult(a, c))))))) | (~((~(mult(mult(b, mult(a, c)), mult(mult(a, b), a)) = mult(b, mult(mult(mult(a, b), a), mult(a, c))))) | (~(mult(mult(b, mult(mult(a, b), a)), mult(a, c)) = mult(b, mult(mult(a, c), mult(mult(a, b), a))))))))),
% 5.63/5.82 inference(transitivity,[status(thm)],[11191, 11189])).
% 5.63/5.82 tff(11193,plain,
% 5.63/5.82 ((~![X0: $i, X1: $i, X2: $i] : ((~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X2, X1)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X1, X2)))))) | (~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X1, X2)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X2, X1)))))))) | ((~((~(mult(mult(b, mult(a, c)), mult(mult(a, b), a)) = mult(b, mult(mult(mult(a, b), a), mult(a, c))))) | (~(mult(mult(b, mult(mult(a, b), a)), mult(a, c)) = mult(b, mult(mult(a, c), mult(mult(a, b), a))))))) | (~((~(mult(mult(b, mult(a, c)), mult(mult(a, b), a)) = mult(b, mult(mult(a, c), mult(mult(a, b), a))))) | (~(mult(mult(b, mult(mult(a, b), a)), mult(a, c)) = mult(b, mult(mult(mult(a, b), a), mult(a, c))))))))),
% 5.63/5.82 inference(quant_inst,[status(thm)],[])).
% 5.63/5.82 tff(11194,plain,
% 5.63/5.82 ((~![X0: $i, X1: $i, X2: $i] : ((~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X2, X1)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X1, X2)))))) | (~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X1, X2)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X2, X1)))))))) | (~((~(mult(mult(b, mult(a, c)), mult(mult(a, b), a)) = mult(b, mult(mult(a, c), mult(mult(a, b), a))))) | (~(mult(mult(b, mult(mult(a, b), a)), mult(a, c)) = mult(b, mult(mult(mult(a, b), a), mult(a, c))))))) | (~((~(mult(mult(b, mult(a, c)), mult(mult(a, b), a)) = mult(b, mult(mult(mult(a, b), a), mult(a, c))))) | (~(mult(mult(b, mult(mult(a, b), a)), mult(a, c)) = mult(b, mult(mult(a, c), mult(mult(a, b), a)))))))),
% 5.63/5.83 inference(modus_ponens,[status(thm)],[11193, 11192])).
% 5.63/5.83 tff(11195,plain,
% 5.63/5.83 ((~((~(mult(mult(b, mult(a, c)), mult(mult(a, b), a)) = mult(b, mult(mult(a, c), mult(mult(a, b), a))))) | (~(mult(mult(b, mult(mult(a, b), a)), mult(a, c)) = mult(b, mult(mult(mult(a, b), a), mult(a, c))))))) | (~((~(mult(mult(b, mult(a, c)), mult(mult(a, b), a)) = mult(b, mult(mult(mult(a, b), a), mult(a, c))))) | (~(mult(mult(b, mult(mult(a, b), a)), mult(a, c)) = mult(b, mult(mult(a, c), mult(mult(a, b), a)))))))),
% 5.63/5.83 inference(unit_resolution,[status(thm)],[11194, 30])).
% 5.63/5.83 tff(11196,plain,
% 5.63/5.83 (~((~(mult(mult(b, mult(a, c)), mult(mult(a, b), a)) = mult(b, mult(mult(a, c), mult(mult(a, b), a))))) | (~(mult(mult(b, mult(mult(a, b), a)), mult(a, c)) = mult(b, mult(mult(mult(a, b), a), mult(a, c))))))),
% 5.63/5.83 inference(unit_resolution,[status(thm)],[11195, 11188])).
% 5.63/5.83 tff(11197,plain,
% 5.63/5.83 (((~(mult(mult(b, mult(a, c)), mult(mult(a, b), a)) = mult(b, mult(mult(a, c), mult(mult(a, b), a))))) | (~(mult(mult(b, mult(mult(a, b), a)), mult(a, c)) = mult(b, mult(mult(mult(a, b), a), mult(a, c)))))) | (mult(mult(b, mult(a, c)), mult(mult(a, b), a)) = mult(b, mult(mult(a, c), mult(mult(a, b), a))))),
% 5.63/5.83 inference(tautology,[status(thm)],[])).
% 5.63/5.83 tff(11198,plain,
% 5.63/5.83 (mult(mult(b, mult(a, c)), mult(mult(a, b), a)) = mult(b, mult(mult(a, c), mult(mult(a, b), a)))),
% 5.63/5.83 inference(unit_resolution,[status(thm)],[11197, 11196])).
% 5.63/5.83 tff(11199,plain,
% 5.63/5.83 (mult(mult(mult(b, c), a), mult(mult(a, b), a)) = mult(mult(b, mult(a, c)), mult(mult(a, b), a))),
% 5.63/5.83 inference(monotonicity,[status(thm)],[3433])).
% 5.63/5.83 tff(11200,plain,
% 5.63/5.83 (mult(mult(mult(b, c), a), mult(mult(a, b), a)) = mult(mult(b, mult(c, a)), mult(mult(a, b), a))),
% 5.63/5.83 inference(transitivity,[status(thm)],[11199, 11198, 11172, 11170, 11168, 11134, 11166, 3535, 11131, 11165])).
% 5.63/5.83 tff(11201,plain,
% 5.63/5.83 (rd(mult(mult(mult(b, c), a), mult(mult(a, b), a)), mult(mult(a, b), a)) = rd(mult(mult(b, mult(c, a)), mult(mult(a, b), a)), mult(mult(a, b), a))),
% 5.63/5.83 inference(monotonicity,[status(thm)],[11200])).
% 5.63/5.83 tff(11202,plain,
% 5.63/5.83 ((~![B: $i, A: $i] : (rd(mult(A, B), B) = A)) | (rd(mult(mult(mult(b, c), a), mult(mult(a, b), a)), mult(mult(a, b), a)) = mult(mult(b, c), a))),
% 5.63/5.83 inference(quant_inst,[status(thm)],[])).
% 5.63/5.83 tff(11203,plain,
% 5.63/5.83 (rd(mult(mult(mult(b, c), a), mult(mult(a, b), a)), mult(mult(a, b), a)) = mult(mult(b, c), a)),
% 5.63/5.83 inference(unit_resolution,[status(thm)],[11202, 72])).
% 5.63/5.83 tff(11204,plain,
% 5.63/5.83 (mult(mult(b, c), a) = rd(mult(mult(mult(b, c), a), mult(mult(a, b), a)), mult(mult(a, b), a))),
% 5.63/5.83 inference(symmetry,[status(thm)],[11203])).
% 5.63/5.83 tff(11205,plain,
% 5.63/5.83 (mult(mult(b, c), a) = mult(b, mult(c, a))),
% 5.63/5.83 inference(transitivity,[status(thm)],[11204, 11201, 11164])).
% 5.63/5.83 tff(11206,plain,
% 5.63/5.83 ($false),
% 5.63/5.83 inference(unit_resolution,[status(thm)],[3450, 11205])).
% 5.63/5.83 tff(11207,plain,((~(mult(mult(b, a), mult(a, mult(mult(c, a), b))) = mult(b, mult(mult(a, mult(mult(c, a), b)), a)))) | (mult(mult(b, c), a) = mult(b, mult(c, a))) | (~(mult(mult(mult(b, mult(c, a)), a), mult(b, a)) = mult(mult(b, mult(c, a)), mult(a, mult(b, a))))) | (~(mult(mult(a, c), mult(b, a)) = mult(a, mult(c, mult(b, a))))) | (~(mult(mult(c, a), b) = mult(c, mult(b, a)))) | (~(mult(mult(mult(a, c), a), mult(a, b)) = mult(mult(a, c), mult(mult(a, b), a)))) | (~(mult(mult(mult(a, c), mult(b, a)), a) = mult(mult(a, c), mult(a, mult(b, a))))) | (mult(mult(mult(b, a), mult(a, c)), mult(b, a)) = mult(mult(b, a), mult(mult(b, a), mult(a, c)))) | (~(mult(mult(mult(b, a), b), a) = mult(mult(b, a), mult(b, a))))), inference(lemma,lemma(discharge,[]))).
% 5.63/5.83 tff(11208,plain,
% 5.63/5.83 (~(mult(mult(b, a), mult(a, mult(mult(c, a), b))) = mult(b, mult(mult(a, mult(mult(c, a), b)), a)))),
% 5.63/5.83 inference(unit_resolution,[status(thm)],[11207, 11136, 11131, 368, 342, 10864, 10825, 3450, 11025])).
% 5.63/5.83 tff(11209,plain,
% 5.63/5.83 (~(mult(mult(mult(b, a), mult(mult(c, a), b)), a) = mult(mult(b, a), mult(a, mult(mult(c, a), b))))),
% 5.63/5.83 inference(modus_ponens,[status(thm)],[11208, 11162])).
% 5.63/5.83 tff(11210,plain,
% 5.63/5.83 (((~(mult(mult(mult(b, a), a), mult(mult(c, a), b)) = mult(mult(b, a), mult(mult(mult(c, a), b), a)))) | (~(mult(mult(mult(b, a), mult(mult(c, a), b)), a) = mult(mult(b, a), mult(a, mult(mult(c, a), b)))))) | (mult(mult(mult(b, a), mult(mult(c, a), b)), a) = mult(mult(b, a), mult(a, mult(mult(c, a), b))))),
% 5.63/5.83 inference(tautology,[status(thm)],[])).
% 5.63/5.83 tff(11211,plain,
% 5.63/5.83 ((~(mult(mult(mult(b, a), a), mult(mult(c, a), b)) = mult(mult(b, a), mult(mult(mult(c, a), b), a)))) | (~(mult(mult(mult(b, a), mult(mult(c, a), b)), a) = mult(mult(b, a), mult(a, mult(mult(c, a), b)))))),
% 5.63/5.83 inference(unit_resolution,[status(thm)],[11210, 11209])).
% 5.63/5.83 tff(11212,plain,
% 5.63/5.83 (((~![X0: $i, X1: $i, X2: $i] : ((~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X2, X1)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X1, X2)))))) | (~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X1, X2)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X2, X1)))))))) | ((~((~(mult(mult(mult(b, a), a), mult(mult(c, a), b)) = mult(mult(b, a), mult(a, mult(mult(c, a), b))))) | (~(mult(mult(mult(b, a), mult(mult(c, a), b)), a) = mult(mult(b, a), mult(mult(mult(c, a), b), a)))))) | (~((~(mult(mult(mult(b, a), a), mult(mult(c, a), b)) = mult(mult(b, a), mult(mult(mult(c, a), b), a)))) | (~(mult(mult(mult(b, a), mult(mult(c, a), b)), a) = mult(mult(b, a), mult(a, mult(mult(c, a), b))))))))) <=> ((~![X0: $i, X1: $i, X2: $i] : ((~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X2, X1)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X1, X2)))))) | (~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X1, X2)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X2, X1)))))))) | (~((~(mult(mult(mult(b, a), a), mult(mult(c, a), b)) = mult(mult(b, a), mult(a, mult(mult(c, a), b))))) | (~(mult(mult(mult(b, a), mult(mult(c, a), b)), a) = mult(mult(b, a), mult(mult(mult(c, a), b), a)))))) | (~((~(mult(mult(mult(b, a), a), mult(mult(c, a), b)) = mult(mult(b, a), mult(mult(mult(c, a), b), a)))) | (~(mult(mult(mult(b, a), mult(mult(c, a), b)), a) = mult(mult(b, a), mult(a, mult(mult(c, a), b))))))))),
% 5.63/5.83 inference(rewrite,[status(thm)],[])).
% 5.63/5.83 tff(11213,plain,
% 5.63/5.83 (((~((~(mult(mult(mult(b, a), a), mult(mult(c, a), b)) = mult(mult(b, a), mult(mult(mult(c, a), b), a)))) | (~(mult(mult(mult(b, a), mult(mult(c, a), b)), a) = mult(mult(b, a), mult(a, mult(mult(c, a), b))))))) | (~((~(mult(mult(mult(b, a), a), mult(mult(c, a), b)) = mult(mult(b, a), mult(a, mult(mult(c, a), b))))) | (~(mult(mult(mult(b, a), mult(mult(c, a), b)), a) = mult(mult(b, a), mult(mult(mult(c, a), b), a))))))) <=> ((~((~(mult(mult(mult(b, a), a), mult(mult(c, a), b)) = mult(mult(b, a), mult(a, mult(mult(c, a), b))))) | (~(mult(mult(mult(b, a), mult(mult(c, a), b)), a) = mult(mult(b, a), mult(mult(mult(c, a), b), a)))))) | (~((~(mult(mult(mult(b, a), a), mult(mult(c, a), b)) = mult(mult(b, a), mult(mult(mult(c, a), b), a)))) | (~(mult(mult(mult(b, a), mult(mult(c, a), b)), a) = mult(mult(b, a), mult(a, mult(mult(c, a), b))))))))),
% 5.63/5.83 inference(rewrite,[status(thm)],[])).
% 5.63/5.83 tff(11214,plain,
% 5.63/5.83 (((~![X0: $i, X1: $i, X2: $i] : ((~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X2, X1)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X1, X2)))))) | (~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X1, X2)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X2, X1)))))))) | ((~((~(mult(mult(mult(b, a), a), mult(mult(c, a), b)) = mult(mult(b, a), mult(mult(mult(c, a), b), a)))) | (~(mult(mult(mult(b, a), mult(mult(c, a), b)), a) = mult(mult(b, a), mult(a, mult(mult(c, a), b))))))) | (~((~(mult(mult(mult(b, a), a), mult(mult(c, a), b)) = mult(mult(b, a), mult(a, mult(mult(c, a), b))))) | (~(mult(mult(mult(b, a), mult(mult(c, a), b)), a) = mult(mult(b, a), mult(mult(mult(c, a), b), a)))))))) <=> ((~![X0: $i, X1: $i, X2: $i] : ((~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X2, X1)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X1, X2)))))) | (~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X1, X2)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X2, X1)))))))) | ((~((~(mult(mult(mult(b, a), a), mult(mult(c, a), b)) = mult(mult(b, a), mult(a, mult(mult(c, a), b))))) | (~(mult(mult(mult(b, a), mult(mult(c, a), b)), a) = mult(mult(b, a), mult(mult(mult(c, a), b), a)))))) | (~((~(mult(mult(mult(b, a), a), mult(mult(c, a), b)) = mult(mult(b, a), mult(mult(mult(c, a), b), a)))) | (~(mult(mult(mult(b, a), mult(mult(c, a), b)), a) = mult(mult(b, a), mult(a, mult(mult(c, a), b)))))))))),
% 5.63/5.83 inference(monotonicity,[status(thm)],[11213])).
% 5.63/5.83 tff(11215,plain,
% 5.63/5.83 (((~![X0: $i, X1: $i, X2: $i] : ((~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X2, X1)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X1, X2)))))) | (~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X1, X2)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X2, X1)))))))) | ((~((~(mult(mult(mult(b, a), a), mult(mult(c, a), b)) = mult(mult(b, a), mult(mult(mult(c, a), b), a)))) | (~(mult(mult(mult(b, a), mult(mult(c, a), b)), a) = mult(mult(b, a), mult(a, mult(mult(c, a), b))))))) | (~((~(mult(mult(mult(b, a), a), mult(mult(c, a), b)) = mult(mult(b, a), mult(a, mult(mult(c, a), b))))) | (~(mult(mult(mult(b, a), mult(mult(c, a), b)), a) = mult(mult(b, a), mult(mult(mult(c, a), b), a)))))))) <=> ((~![X0: $i, X1: $i, X2: $i] : ((~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X2, X1)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X1, X2)))))) | (~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X1, X2)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X2, X1)))))))) | (~((~(mult(mult(mult(b, a), a), mult(mult(c, a), b)) = mult(mult(b, a), mult(a, mult(mult(c, a), b))))) | (~(mult(mult(mult(b, a), mult(mult(c, a), b)), a) = mult(mult(b, a), mult(mult(mult(c, a), b), a)))))) | (~((~(mult(mult(mult(b, a), a), mult(mult(c, a), b)) = mult(mult(b, a), mult(mult(mult(c, a), b), a)))) | (~(mult(mult(mult(b, a), mult(mult(c, a), b)), a) = mult(mult(b, a), mult(a, mult(mult(c, a), b))))))))),
% 5.63/5.83 inference(transitivity,[status(thm)],[11214, 11212])).
% 5.63/5.83 tff(11216,plain,
% 5.63/5.83 ((~![X0: $i, X1: $i, X2: $i] : ((~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X2, X1)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X1, X2)))))) | (~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X1, X2)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X2, X1)))))))) | ((~((~(mult(mult(mult(b, a), a), mult(mult(c, a), b)) = mult(mult(b, a), mult(mult(mult(c, a), b), a)))) | (~(mult(mult(mult(b, a), mult(mult(c, a), b)), a) = mult(mult(b, a), mult(a, mult(mult(c, a), b))))))) | (~((~(mult(mult(mult(b, a), a), mult(mult(c, a), b)) = mult(mult(b, a), mult(a, mult(mult(c, a), b))))) | (~(mult(mult(mult(b, a), mult(mult(c, a), b)), a) = mult(mult(b, a), mult(mult(mult(c, a), b), a)))))))),
% 5.63/5.83 inference(quant_inst,[status(thm)],[])).
% 5.63/5.83 tff(11217,plain,
% 5.63/5.83 ((~![X0: $i, X1: $i, X2: $i] : ((~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X2, X1)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X1, X2)))))) | (~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X1, X2)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X2, X1)))))))) | (~((~(mult(mult(mult(b, a), a), mult(mult(c, a), b)) = mult(mult(b, a), mult(a, mult(mult(c, a), b))))) | (~(mult(mult(mult(b, a), mult(mult(c, a), b)), a) = mult(mult(b, a), mult(mult(mult(c, a), b), a)))))) | (~((~(mult(mult(mult(b, a), a), mult(mult(c, a), b)) = mult(mult(b, a), mult(mult(mult(c, a), b), a)))) | (~(mult(mult(mult(b, a), mult(mult(c, a), b)), a) = mult(mult(b, a), mult(a, mult(mult(c, a), b)))))))),
% 5.63/5.83 inference(modus_ponens,[status(thm)],[11216, 11215])).
% 5.63/5.83 tff(11218,plain,
% 5.63/5.83 ((~((~(mult(mult(mult(b, a), a), mult(mult(c, a), b)) = mult(mult(b, a), mult(a, mult(mult(c, a), b))))) | (~(mult(mult(mult(b, a), mult(mult(c, a), b)), a) = mult(mult(b, a), mult(mult(mult(c, a), b), a)))))) | (~((~(mult(mult(mult(b, a), a), mult(mult(c, a), b)) = mult(mult(b, a), mult(mult(mult(c, a), b), a)))) | (~(mult(mult(mult(b, a), mult(mult(c, a), b)), a) = mult(mult(b, a), mult(a, mult(mult(c, a), b)))))))),
% 5.63/5.83 inference(unit_resolution,[status(thm)],[11217, 30])).
% 5.63/5.83 tff(11219,plain,
% 5.63/5.83 (~((~(mult(mult(mult(b, a), a), mult(mult(c, a), b)) = mult(mult(b, a), mult(a, mult(mult(c, a), b))))) | (~(mult(mult(mult(b, a), mult(mult(c, a), b)), a) = mult(mult(b, a), mult(mult(mult(c, a), b), a)))))),
% 5.63/5.83 inference(unit_resolution,[status(thm)],[11218, 11211])).
% 5.63/5.83 tff(11220,plain,
% 5.63/5.83 (((~(mult(mult(mult(b, a), a), mult(mult(c, a), b)) = mult(mult(b, a), mult(a, mult(mult(c, a), b))))) | (~(mult(mult(mult(b, a), mult(mult(c, a), b)), a) = mult(mult(b, a), mult(mult(mult(c, a), b), a))))) | (mult(mult(mult(b, a), mult(mult(c, a), b)), a) = mult(mult(b, a), mult(mult(mult(c, a), b), a)))),
% 5.63/5.83 inference(tautology,[status(thm)],[])).
% 5.63/5.83 tff(11221,plain,
% 5.63/5.83 (mult(mult(mult(b, a), mult(mult(c, a), b)), a) = mult(mult(b, a), mult(mult(mult(c, a), b), a))),
% 5.63/5.83 inference(unit_resolution,[status(thm)],[11220, 11219])).
% 5.63/5.83 tff(11222,plain,
% 5.63/5.83 (mult(mult(b, a), mult(mult(mult(c, a), b), a)) = mult(mult(mult(b, a), mult(mult(c, a), b)), a)),
% 5.63/5.83 inference(symmetry,[status(thm)],[11221])).
% 5.63/5.83 tff(11223,plain,
% 5.63/5.83 (mult(mult(b, a), mult(c, mult(mult(a, b), a))) = mult(mult(b, a), mult(mult(mult(c, a), b), a))),
% 5.63/5.83 inference(monotonicity,[status(thm)],[2808])).
% 5.63/5.83 tff(11224,plain,
% 5.63/5.83 (mult(mult(b, a), mult(c, mult(mult(a, b), a))) = mult(b, mult(mult(a, mult(mult(c, a), b)), a))),
% 5.63/5.83 inference(transitivity,[status(thm)],[11223, 11222, 11157])).
% 5.63/5.83 tff(11225,plain,
% 5.63/5.83 (mult(mult(mult(b, a), c), mult(mult(a, b), a)) = mult(mult(b, a), mult(a, mult(mult(c, a), b)))),
% 5.63/5.83 inference(transitivity,[status(thm)],[11155, 11154, 11153, 3534, 11152, 11135])).
% 5.63/5.83 tff(11226,plain,
% 5.63/5.83 ((mult(mult(mult(b, a), c), mult(mult(a, b), a)) = mult(mult(b, a), mult(c, mult(mult(a, b), a)))) <=> (mult(mult(b, a), mult(a, mult(mult(c, a), b))) = mult(b, mult(mult(a, mult(mult(c, a), b)), a)))),
% 5.63/5.83 inference(monotonicity,[status(thm)],[11225, 11224])).
% 5.63/5.83 tff(11227,plain,
% 5.63/5.83 ((mult(mult(b, a), mult(a, mult(mult(c, a), b))) = mult(b, mult(mult(a, mult(mult(c, a), b)), a))) <=> (mult(mult(mult(b, a), c), mult(mult(a, b), a)) = mult(mult(b, a), mult(c, mult(mult(a, b), a))))),
% 5.63/5.83 inference(symmetry,[status(thm)],[11226])).
% 5.63/5.83 tff(11228,plain,
% 5.63/5.83 ((~(mult(mult(b, a), mult(a, mult(mult(c, a), b))) = mult(b, mult(mult(a, mult(mult(c, a), b)), a)))) <=> (~(mult(mult(mult(b, a), c), mult(mult(a, b), a)) = mult(mult(b, a), mult(c, mult(mult(a, b), a)))))),
% 5.63/5.83 inference(monotonicity,[status(thm)],[11227])).
% 5.63/5.83 tff(11229,plain,
% 5.63/5.83 (~(mult(mult(mult(b, a), c), mult(mult(a, b), a)) = mult(mult(b, a), mult(c, mult(mult(a, b), a))))),
% 5.63/5.83 inference(modus_ponens,[status(thm)],[11208, 11228])).
% 5.63/5.83 tff(11230,plain,
% 5.63/5.83 (((~(mult(mult(mult(b, a), mult(mult(a, b), a)), c) = mult(mult(b, a), mult(mult(mult(a, b), a), c)))) | (~(mult(mult(mult(b, a), c), mult(mult(a, b), a)) = mult(mult(b, a), mult(c, mult(mult(a, b), a)))))) | (mult(mult(mult(b, a), c), mult(mult(a, b), a)) = mult(mult(b, a), mult(c, mult(mult(a, b), a))))),
% 5.63/5.83 inference(tautology,[status(thm)],[])).
% 5.63/5.83 tff(11231,plain,
% 5.63/5.83 ((~(mult(mult(mult(b, a), mult(mult(a, b), a)), c) = mult(mult(b, a), mult(mult(mult(a, b), a), c)))) | (~(mult(mult(mult(b, a), c), mult(mult(a, b), a)) = mult(mult(b, a), mult(c, mult(mult(a, b), a)))))),
% 5.63/5.83 inference(unit_resolution,[status(thm)],[11230, 11229])).
% 5.63/5.83 tff(11232,plain,
% 5.63/5.83 (((~![X0: $i, X1: $i, X2: $i] : ((~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X2, X1)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X1, X2)))))) | (~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X1, X2)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X2, X1)))))))) | ((~((~(mult(mult(mult(b, a), mult(mult(a, b), a)), c) = mult(mult(b, a), mult(c, mult(mult(a, b), a))))) | (~(mult(mult(mult(b, a), c), mult(mult(a, b), a)) = mult(mult(b, a), mult(mult(mult(a, b), a), c)))))) | (~((~(mult(mult(mult(b, a), mult(mult(a, b), a)), c) = mult(mult(b, a), mult(mult(mult(a, b), a), c)))) | (~(mult(mult(mult(b, a), c), mult(mult(a, b), a)) = mult(mult(b, a), mult(c, mult(mult(a, b), a))))))))) <=> ((~![X0: $i, X1: $i, X2: $i] : ((~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X2, X1)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X1, X2)))))) | (~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X1, X2)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X2, X1)))))))) | (~((~(mult(mult(mult(b, a), mult(mult(a, b), a)), c) = mult(mult(b, a), mult(c, mult(mult(a, b), a))))) | (~(mult(mult(mult(b, a), c), mult(mult(a, b), a)) = mult(mult(b, a), mult(mult(mult(a, b), a), c)))))) | (~((~(mult(mult(mult(b, a), mult(mult(a, b), a)), c) = mult(mult(b, a), mult(mult(mult(a, b), a), c)))) | (~(mult(mult(mult(b, a), c), mult(mult(a, b), a)) = mult(mult(b, a), mult(c, mult(mult(a, b), a))))))))),
% 5.63/5.84 inference(rewrite,[status(thm)],[])).
% 5.63/5.84 tff(11233,plain,
% 5.63/5.84 ((~![X0: $i, X1: $i, X2: $i] : ((~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X2, X1)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X1, X2)))))) | (~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X1, X2)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X2, X1)))))))) | ((~((~(mult(mult(mult(b, a), mult(mult(a, b), a)), c) = mult(mult(b, a), mult(c, mult(mult(a, b), a))))) | (~(mult(mult(mult(b, a), c), mult(mult(a, b), a)) = mult(mult(b, a), mult(mult(mult(a, b), a), c)))))) | (~((~(mult(mult(mult(b, a), mult(mult(a, b), a)), c) = mult(mult(b, a), mult(mult(mult(a, b), a), c)))) | (~(mult(mult(mult(b, a), c), mult(mult(a, b), a)) = mult(mult(b, a), mult(c, mult(mult(a, b), a))))))))),
% 5.63/5.84 inference(quant_inst,[status(thm)],[])).
% 5.63/5.84 tff(11234,plain,
% 5.63/5.84 ((~![X0: $i, X1: $i, X2: $i] : ((~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X2, X1)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X1, X2)))))) | (~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X1, X2)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X2, X1)))))))) | (~((~(mult(mult(mult(b, a), mult(mult(a, b), a)), c) = mult(mult(b, a), mult(c, mult(mult(a, b), a))))) | (~(mult(mult(mult(b, a), c), mult(mult(a, b), a)) = mult(mult(b, a), mult(mult(mult(a, b), a), c)))))) | (~((~(mult(mult(mult(b, a), mult(mult(a, b), a)), c) = mult(mult(b, a), mult(mult(mult(a, b), a), c)))) | (~(mult(mult(mult(b, a), c), mult(mult(a, b), a)) = mult(mult(b, a), mult(c, mult(mult(a, b), a)))))))),
% 5.63/5.84 inference(modus_ponens,[status(thm)],[11233, 11232])).
% 5.63/5.84 tff(11235,plain,
% 5.63/5.84 ((~((~(mult(mult(mult(b, a), mult(mult(a, b), a)), c) = mult(mult(b, a), mult(c, mult(mult(a, b), a))))) | (~(mult(mult(mult(b, a), c), mult(mult(a, b), a)) = mult(mult(b, a), mult(mult(mult(a, b), a), c)))))) | (~((~(mult(mult(mult(b, a), mult(mult(a, b), a)), c) = mult(mult(b, a), mult(mult(mult(a, b), a), c)))) | (~(mult(mult(mult(b, a), c), mult(mult(a, b), a)) = mult(mult(b, a), mult(c, mult(mult(a, b), a)))))))),
% 5.63/5.84 inference(unit_resolution,[status(thm)],[11234, 30])).
% 5.63/5.84 tff(11236,plain,
% 5.63/5.84 (~((~(mult(mult(mult(b, a), mult(mult(a, b), a)), c) = mult(mult(b, a), mult(c, mult(mult(a, b), a))))) | (~(mult(mult(mult(b, a), c), mult(mult(a, b), a)) = mult(mult(b, a), mult(mult(mult(a, b), a), c)))))),
% 5.63/5.84 inference(unit_resolution,[status(thm)],[11235, 11231])).
% 5.63/5.84 tff(11237,plain,
% 5.63/5.84 (((~(mult(mult(mult(b, a), mult(mult(a, b), a)), c) = mult(mult(b, a), mult(c, mult(mult(a, b), a))))) | (~(mult(mult(mult(b, a), c), mult(mult(a, b), a)) = mult(mult(b, a), mult(mult(mult(a, b), a), c))))) | (mult(mult(mult(b, a), c), mult(mult(a, b), a)) = mult(mult(b, a), mult(mult(mult(a, b), a), c)))),
% 5.63/5.84 inference(tautology,[status(thm)],[])).
% 5.63/5.84 tff(11238,plain,
% 5.63/5.84 (mult(mult(mult(b, a), c), mult(mult(a, b), a)) = mult(mult(b, a), mult(mult(mult(a, b), a), c))),
% 5.63/5.84 inference(unit_resolution,[status(thm)],[11237, 11236])).
% 5.63/5.84 tff(11239,plain,
% 5.63/5.84 (mult(mult(b, a), mult(mult(mult(a, b), a), c)) = mult(mult(mult(b, a), c), mult(mult(a, b), a))),
% 5.63/5.84 inference(symmetry,[status(thm)],[11238])).
% 5.63/5.84 tff(11240,plain,
% 5.63/5.84 (mult(mult(b, a), mult(mult(mult(a, b), a), c)) = mult(mult(b, a), mult(a, mult(mult(c, a), b)))),
% 5.63/5.84 inference(transitivity,[status(thm)],[11239, 11155, 11154, 11153, 3534, 11152, 11135])).
% 5.63/5.84 tff(11241,plain,
% 5.63/5.84 (ld(mult(b, a), mult(mult(b, a), mult(mult(mult(a, b), a), c))) = ld(mult(b, a), mult(mult(b, a), mult(a, mult(mult(c, a), b))))),
% 5.63/5.84 inference(monotonicity,[status(thm)],[11240])).
% 5.63/5.84 tff(11242,plain,
% 5.63/5.84 ((~![B: $i, A: $i] : (ld(A, mult(A, B)) = B)) | (ld(mult(b, a), mult(mult(b, a), mult(mult(mult(a, b), a), c))) = mult(mult(mult(a, b), a), c))),
% 5.63/5.84 inference(quant_inst,[status(thm)],[])).
% 5.63/5.84 tff(11243,plain,
% 5.63/5.84 (ld(mult(b, a), mult(mult(b, a), mult(mult(mult(a, b), a), c))) = mult(mult(mult(a, b), a), c)),
% 5.63/5.84 inference(unit_resolution,[status(thm)],[11242, 9])).
% 5.63/5.84 tff(11244,plain,
% 5.63/5.84 (mult(mult(mult(a, b), a), c) = ld(mult(b, a), mult(mult(b, a), mult(mult(mult(a, b), a), c)))),
% 5.63/5.84 inference(symmetry,[status(thm)],[11243])).
% 5.63/5.84 tff(11245,plain,
% 5.63/5.84 (mult(mult(a, mult(b, a)), c) = mult(a, mult(c, mult(b, a)))),
% 5.63/5.84 inference(transitivity,[status(thm)],[8336, 11244, 11241, 11133, 2430])).
% 5.63/5.84 tff(11246,plain,
% 5.63/5.84 ($false),
% 5.63/5.84 inference(unit_resolution,[status(thm)],[10743, 11245])).
% 5.63/5.84 tff(11247,plain,((mult(mult(mult(b, a), mult(a, c)), mult(b, a)) = mult(mult(b, a), mult(mult(b, a), mult(a, c)))) | (mult(mult(a, mult(b, a)), c) = mult(a, mult(c, mult(b, a)))) | (~(mult(mult(c, a), b) = mult(c, mult(b, a)))) | (~(mult(mult(mult(b, mult(c, a)), a), mult(b, a)) = mult(mult(b, mult(c, a)), mult(a, mult(b, a))))) | (~(mult(mult(a, c), mult(b, a)) = mult(a, mult(c, mult(b, a))))) | (~(mult(mult(mult(a, c), a), mult(a, b)) = mult(mult(a, c), mult(mult(a, b), a)))) | (~(mult(mult(mult(a, c), mult(b, a)), a) = mult(mult(a, c), mult(a, mult(b, a))))) | (mult(mult(b, c), a) = mult(b, mult(c, a))) | (~(mult(mult(mult(b, a), b), a) = mult(mult(b, a), mult(b, a))))), inference(lemma,lemma(discharge,[]))).
% 5.63/5.84 tff(11248,plain,
% 5.63/5.84 (mult(mult(mult(b, a), mult(a, c)), mult(b, a)) = mult(mult(b, a), mult(mult(b, a), mult(a, c)))),
% 5.63/5.84 inference(unit_resolution,[status(thm)],[11247, 11131, 342, 10743, 10728, 10864, 10825, 3450, 11025])).
% 5.63/5.84 tff(11249,assumption,(mult(mult(a, mult(b, a)), mult(a, c)) = mult(a, mult(mult(b, a), mult(a, c)))), introduced(assumption)).
% 5.63/5.84 tff(11250,plain,
% 5.63/5.84 ((~![B: $i, A: $i] : (ld(A, mult(A, B)) = B)) | (ld(mult(b, a), mult(mult(b, a), mult(mult(b, a), mult(a, c)))) = mult(mult(b, a), mult(a, c)))),
% 5.63/5.84 inference(quant_inst,[status(thm)],[])).
% 5.63/5.84 tff(11251,plain,
% 5.63/5.84 (ld(mult(b, a), mult(mult(b, a), mult(mult(b, a), mult(a, c)))) = mult(mult(b, a), mult(a, c))),
% 5.63/5.84 inference(unit_resolution,[status(thm)],[11250, 9])).
% 5.63/5.84 tff(11252,assumption,(mult(mult(mult(b, a), c), mult(mult(a, b), a)) = mult(mult(b, a), mult(mult(mult(a, b), a), c))), introduced(assumption)).
% 5.63/5.84 tff(11253,plain,
% 5.63/5.84 (mult(mult(b, a), mult(mult(mult(a, b), a), c)) = mult(mult(mult(b, a), c), mult(mult(a, b), a))),
% 5.63/5.84 inference(symmetry,[status(thm)],[11252])).
% 5.63/5.84 tff(11254,plain,
% 5.63/5.84 (mult(mult(b, a), mult(mult(mult(a, b), a), c)) = mult(mult(b, a), mult(mult(b, a), mult(a, c)))),
% 5.63/5.84 inference(transitivity,[status(thm)],[11253, 11155, 11154, 11153, 3534, 8734])).
% 5.63/5.84 tff(11255,plain,
% 5.63/5.84 (ld(mult(b, a), mult(mult(b, a), mult(mult(mult(a, b), a), c))) = ld(mult(b, a), mult(mult(b, a), mult(mult(b, a), mult(a, c))))),
% 5.63/5.84 inference(monotonicity,[status(thm)],[11254])).
% 5.63/5.84 tff(11256,plain,
% 5.63/5.84 (mult(mult(mult(a, b), a), c) = mult(mult(b, a), mult(a, c))),
% 5.63/5.84 inference(transitivity,[status(thm)],[11244, 11255, 11251])).
% 5.63/5.84 tff(11257,plain,
% 5.63/5.84 (mult(a, mult(mult(mult(a, b), a), c)) = mult(a, mult(mult(b, a), mult(a, c)))),
% 5.63/5.84 inference(monotonicity,[status(thm)],[11256])).
% 5.63/5.84 tff(11258,plain,
% 5.63/5.84 (mult(a, mult(mult(b, a), mult(a, c))) = mult(a, mult(mult(mult(a, b), a), c))),
% 5.63/5.84 inference(symmetry,[status(thm)],[11257])).
% 5.63/5.84 tff(11259,plain,
% 5.63/5.84 (mult(mult(a, mult(b, mult(c, a))), a) = mult(a, mult(a, mult(b, mult(c, a))))),
% 5.63/5.84 inference(transitivity,[status(thm)],[11093, 11096, 11018, 11016, 11249, 11258, 11100])).
% 5.63/5.84 tff(11260,plain,
% 5.63/5.84 ($false),
% 5.63/5.84 inference(unit_resolution,[status(thm)],[11027, 11259])).
% 5.63/5.84 tff(11261,plain,((~(mult(mult(mult(b, a), c), mult(mult(a, b), a)) = mult(mult(b, a), mult(mult(mult(a, b), a), c)))) | (mult(mult(a, mult(b, mult(c, a))), a) = mult(a, mult(a, mult(b, mult(c, a))))) | (~(mult(mult(mult(a, b), a), mult(a, c)) = mult(mult(a, b), mult(mult(a, c), a)))) | (~(mult(mult(a, mult(b, a)), mult(a, c)) = mult(a, mult(mult(b, a), mult(a, c))))) | (~(mult(mult(mult(b, mult(c, a)), a), mult(b, a)) = mult(mult(b, mult(c, a)), mult(a, mult(b, a))))) | (~(mult(mult(mult(b, a), mult(a, c)), mult(b, a)) = mult(mult(b, a), mult(mult(b, a), mult(a, c))))) | (~(mult(mult(a, b), mult(c, a)) = mult(a, mult(b, mult(c, a)))))), inference(lemma,lemma(discharge,[]))).
% 5.68/5.84 tff(11262,plain,
% 5.68/5.84 (~(mult(mult(mult(b, a), c), mult(mult(a, b), a)) = mult(mult(b, a), mult(mult(mult(a, b), a), c)))),
% 5.68/5.84 inference(unit_resolution,[status(thm)],[11261, 11131, 11017, 11249, 11027, 11248, 754])).
% 5.68/5.84 tff(11263,plain,
% 5.68/5.84 ((~(mult(mult(mult(b, a), mult(mult(a, b), a)), c) = mult(mult(b, a), mult(c, mult(mult(a, b), a))))) | (~(mult(mult(mult(b, a), c), mult(mult(a, b), a)) = mult(mult(b, a), mult(mult(mult(a, b), a), c))))),
% 5.68/5.84 inference(unit_resolution,[status(thm)],[11237, 11262])).
% 5.68/5.84 tff(11264,plain,
% 5.68/5.84 (~((~(mult(mult(mult(b, a), mult(mult(a, b), a)), c) = mult(mult(b, a), mult(mult(mult(a, b), a), c)))) | (~(mult(mult(mult(b, a), c), mult(mult(a, b), a)) = mult(mult(b, a), mult(c, mult(mult(a, b), a))))))),
% 5.68/5.84 inference(unit_resolution,[status(thm)],[11235, 11263])).
% 5.68/5.84 tff(11265,plain,
% 5.68/5.84 (mult(mult(mult(b, a), c), mult(mult(a, b), a)) = mult(mult(b, a), mult(c, mult(mult(a, b), a)))),
% 5.68/5.84 inference(unit_resolution,[status(thm)],[11230, 11264])).
% 5.68/5.84 tff(11266,plain,
% 5.68/5.84 (mult(mult(b, a), mult(c, mult(mult(a, b), a))) = mult(mult(mult(b, a), c), mult(mult(a, b), a))),
% 5.68/5.84 inference(symmetry,[status(thm)],[11265])).
% 5.68/5.84 tff(11267,plain,
% 5.68/5.84 (mult(mult(b, a), mult(c, mult(mult(a, b), a))) = mult(mult(b, a), mult(mult(b, a), mult(a, c)))),
% 5.68/5.84 inference(transitivity,[status(thm)],[11266, 11155, 11154, 11153, 3534, 11248])).
% 5.68/5.84 tff(11268,plain,
% 5.68/5.84 (ld(mult(b, a), mult(mult(b, a), mult(c, mult(mult(a, b), a)))) = ld(mult(b, a), mult(mult(b, a), mult(mult(b, a), mult(a, c))))),
% 5.68/5.84 inference(monotonicity,[status(thm)],[11267])).
% 5.68/5.84 tff(11269,plain,
% 5.68/5.84 (ld(mult(b, a), mult(mult(b, a), mult(mult(b, a), mult(a, c)))) = ld(mult(b, a), mult(mult(b, a), mult(c, mult(mult(a, b), a))))),
% 5.68/5.84 inference(symmetry,[status(thm)],[11268])).
% 5.68/5.84 tff(11270,plain,
% 5.68/5.84 (mult(mult(b, a), mult(a, c)) = ld(mult(b, a), mult(mult(b, a), mult(mult(b, a), mult(a, c))))),
% 5.68/5.84 inference(symmetry,[status(thm)],[11251])).
% 5.68/5.84 tff(11271,plain,
% 5.68/5.84 (mult(mult(b, mult(c, a)), a) = mult(mult(mult(c, a), b), a)),
% 5.68/5.84 inference(transitivity,[status(thm)],[3532, 3530, 11270, 11269, 11130, 2808])).
% 5.68/5.84 tff(11272,plain,
% 5.68/5.84 (rd(mult(mult(b, mult(c, a)), a), a) = rd(mult(mult(mult(c, a), b), a), a)),
% 5.68/5.84 inference(monotonicity,[status(thm)],[11271])).
% 5.68/5.84 tff(11273,plain,
% 5.68/5.84 (mult(b, mult(c, a)) = rd(mult(mult(b, mult(c, a)), a), a)),
% 5.68/5.84 inference(symmetry,[status(thm)],[848])).
% 5.68/5.84 tff(11274,plain,
% 5.68/5.84 (mult(b, mult(c, a)) = mult(mult(c, a), b)),
% 5.68/5.84 inference(transitivity,[status(thm)],[11273, 11272, 3844])).
% 5.68/5.84 tff(11275,plain,
% 5.68/5.84 (mult(a, mult(b, mult(c, a))) = mult(a, mult(mult(c, a), b))),
% 5.68/5.84 inference(monotonicity,[status(thm)],[11274])).
% 5.68/5.84 tff(11276,plain,
% 5.68/5.84 (mult(mult(a, mult(b, a)), c) = mult(a, mult(c, mult(b, a)))),
% 5.68/5.84 inference(transitivity,[status(thm)],[8336, 9222, 754, 11275, 2430])).
% 5.68/5.84 tff(11277,plain,
% 5.68/5.84 ($false),
% 5.68/5.84 inference(unit_resolution,[status(thm)],[10743, 11276])).
% 5.68/5.84 tff(11278,plain,((~(mult(mult(mult(b, mult(c, a)), a), mult(b, a)) = mult(mult(b, mult(c, a)), mult(a, mult(b, a))))) | (mult(mult(a, mult(b, a)), c) = mult(a, mult(c, mult(b, a)))) | (~(mult(mult(a, b), mult(c, a)) = mult(a, mult(b, mult(c, a))))) | (~(mult(mult(c, a), b) = mult(c, mult(b, a)))) | (~(mult(mult(mult(a, b), a), mult(a, c)) = mult(mult(a, b), mult(mult(a, c), a)))) | (~(mult(mult(a, mult(b, a)), mult(a, c)) = mult(a, mult(mult(b, a), mult(a, c))))) | (mult(mult(a, mult(b, mult(c, a))), a) = mult(a, mult(a, mult(b, mult(c, a))))) | (~(mult(mult(mult(a, c), a), mult(a, b)) = mult(mult(a, c), mult(mult(a, b), a)))) | (~(mult(mult(mult(a, c), mult(b, a)), a) = mult(mult(a, c), mult(a, mult(b, a))))) | (mult(mult(b, c), a) = mult(b, mult(c, a))) | (~(mult(mult(mult(b, a), b), a) = mult(mult(b, a), mult(b, a))))), inference(lemma,lemma(discharge,[]))).
% 5.68/5.84 tff(11279,plain,
% 5.68/5.84 (~(mult(mult(mult(b, mult(c, a)), a), mult(b, a)) = mult(mult(b, mult(c, a)), mult(a, mult(b, a))))),
% 5.68/5.84 inference(unit_resolution,[status(thm)],[11278, 11120, 754, 342, 11017, 10743, 11027, 6854, 11029, 11128, 11025])).
% 5.68/5.84 tff(11280,plain,
% 5.68/5.84 ((~(mult(mult(mult(b, mult(c, a)), mult(b, a)), a) = mult(mult(b, mult(c, a)), mult(mult(b, a), a)))) | (~(mult(mult(mult(b, mult(c, a)), a), mult(b, a)) = mult(mult(b, mult(c, a)), mult(a, mult(b, a)))))),
% 5.68/5.84 inference(unit_resolution,[status(thm)],[7902, 11279])).
% 5.68/5.84 tff(11281,plain,
% 5.68/5.84 (~((~(mult(mult(mult(b, mult(c, a)), a), mult(b, a)) = mult(mult(b, mult(c, a)), mult(mult(b, a), a)))) | (~(mult(mult(mult(b, mult(c, a)), mult(b, a)), a) = mult(mult(b, mult(c, a)), mult(a, mult(b, a))))))),
% 5.68/5.84 inference(unit_resolution,[status(thm)],[7910, 11280])).
% 5.68/5.84 tff(11282,plain,
% 5.68/5.84 (mult(mult(mult(b, mult(c, a)), a), mult(b, a)) = mult(mult(b, mult(c, a)), mult(mult(b, a), a))),
% 5.68/5.84 inference(unit_resolution,[status(thm)],[7912, 11281])).
% 5.68/5.84 tff(11283,plain,
% 5.68/5.84 (~(mult(mult(mult(mult(b, a), mult(a, c)), b), a) = mult(mult(mult(b, a), mult(a, c)), mult(b, a)))),
% 5.68/5.84 inference(unit_resolution,[status(thm)],[10939, 11282, 10913, 342])).
% 5.68/5.84 tff(11284,plain,
% 5.68/5.84 ((~(mult(mult(mult(mult(b, a), mult(a, c)), a), b) = mult(mult(mult(b, a), mult(a, c)), mult(a, b)))) | (~(mult(mult(mult(mult(b, a), mult(a, c)), b), a) = mult(mult(mult(b, a), mult(a, c)), mult(b, a))))),
% 5.68/5.84 inference(unit_resolution,[status(thm)],[7867, 11283])).
% 5.68/5.84 tff(11285,plain,
% 5.68/5.84 (~((~(mult(mult(mult(mult(b, a), mult(a, c)), b), a) = mult(mult(mult(b, a), mult(a, c)), mult(a, b)))) | (~(mult(mult(mult(mult(b, a), mult(a, c)), a), b) = mult(mult(mult(b, a), mult(a, c)), mult(b, a)))))),
% 5.68/5.84 inference(unit_resolution,[status(thm)],[7879, 11284])).
% 5.68/5.84 tff(11286,plain,
% 5.68/5.84 (mult(mult(mult(mult(b, a), mult(a, c)), a), b) = mult(mult(mult(b, a), mult(a, c)), mult(b, a))),
% 5.68/5.84 inference(unit_resolution,[status(thm)],[7886, 11285])).
% 5.68/5.84 tff(11287,plain,
% 5.68/5.84 (~(mult(mult(mult(mult(mult(a, c), mult(b, a)), mult(a, c)), a), b) = mult(mult(mult(mult(a, c), mult(b, a)), mult(a, c)), mult(b, a)))),
% 5.68/5.84 inference(unit_resolution,[status(thm)],[10972, 11286, 614])).
% 5.68/5.84 tff(11288,plain,
% 5.68/5.84 ((~(mult(mult(mult(mult(mult(a, c), mult(b, a)), mult(a, c)), b), a) = mult(mult(mult(mult(a, c), mult(b, a)), mult(a, c)), mult(a, b)))) | (~(mult(mult(mult(mult(mult(a, c), mult(b, a)), mult(a, c)), a), b) = mult(mult(mult(mult(a, c), mult(b, a)), mult(a, c)), mult(b, a))))),
% 5.68/5.84 inference(unit_resolution,[status(thm)],[10974, 11287])).
% 5.68/5.84 tff(11289,plain,
% 5.68/5.84 (~((~(mult(mult(mult(mult(mult(a, c), mult(b, a)), mult(a, c)), b), a) = mult(mult(mult(mult(a, c), mult(b, a)), mult(a, c)), mult(b, a)))) | (~(mult(mult(mult(mult(mult(a, c), mult(b, a)), mult(a, c)), a), b) = mult(mult(mult(mult(a, c), mult(b, a)), mult(a, c)), mult(a, b)))))),
% 5.68/5.84 inference(unit_resolution,[status(thm)],[6722, 11288])).
% 5.68/5.84 tff(11290,plain,
% 5.68/5.84 (mult(mult(mult(mult(mult(a, c), mult(b, a)), mult(a, c)), b), a) = mult(mult(mult(mult(a, c), mult(b, a)), mult(a, c)), mult(b, a))),
% 5.68/5.84 inference(unit_resolution,[status(thm)],[6724, 11289])).
% 5.68/5.84 tff(11291,plain,
% 5.68/5.84 (~(mult(mult(mult(mult(mult(a, b), c), a), b), a) = mult(mult(mult(mult(a, b), c), a), mult(b, a)))),
% 5.68/5.84 inference(unit_resolution,[status(thm)],[11012, 11290, 614, 168, 10912])).
% 5.68/5.84 tff(11292,plain,
% 5.68/5.84 (((~(mult(mult(mult(mult(mult(a, b), c), a), a), b) = mult(mult(mult(mult(a, b), c), a), mult(a, b)))) | (~(mult(mult(mult(mult(mult(a, b), c), a), b), a) = mult(mult(mult(mult(a, b), c), a), mult(b, a))))) | (mult(mult(mult(mult(mult(a, b), c), a), b), a) = mult(mult(mult(mult(a, b), c), a), mult(b, a)))),
% 5.68/5.84 inference(tautology,[status(thm)],[])).
% 5.68/5.84 tff(11293,plain,
% 5.68/5.84 ((~(mult(mult(mult(mult(mult(a, b), c), a), a), b) = mult(mult(mult(mult(a, b), c), a), mult(a, b)))) | (~(mult(mult(mult(mult(mult(a, b), c), a), b), a) = mult(mult(mult(mult(a, b), c), a), mult(b, a))))),
% 5.68/5.84 inference(unit_resolution,[status(thm)],[11292, 11291])).
% 5.68/5.84 tff(11294,plain,
% 5.68/5.84 (((~![X0: $i, X1: $i, X2: $i] : ((~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X2, X1)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X1, X2)))))) | (~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X1, X2)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X2, X1)))))))) | ((~((~(mult(mult(mult(mult(mult(a, b), c), a), a), b) = mult(mult(mult(mult(a, b), c), a), mult(b, a)))) | (~(mult(mult(mult(mult(mult(a, b), c), a), b), a) = mult(mult(mult(mult(a, b), c), a), mult(a, b)))))) | (~((~(mult(mult(mult(mult(mult(a, b), c), a), a), b) = mult(mult(mult(mult(a, b), c), a), mult(a, b)))) | (~(mult(mult(mult(mult(mult(a, b), c), a), b), a) = mult(mult(mult(mult(a, b), c), a), mult(b, a)))))))) <=> ((~![X0: $i, X1: $i, X2: $i] : ((~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X2, X1)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X1, X2)))))) | (~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X1, X2)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X2, X1)))))))) | (~((~(mult(mult(mult(mult(mult(a, b), c), a), a), b) = mult(mult(mult(mult(a, b), c), a), mult(b, a)))) | (~(mult(mult(mult(mult(mult(a, b), c), a), b), a) = mult(mult(mult(mult(a, b), c), a), mult(a, b)))))) | (~((~(mult(mult(mult(mult(mult(a, b), c), a), a), b) = mult(mult(mult(mult(a, b), c), a), mult(a, b)))) | (~(mult(mult(mult(mult(mult(a, b), c), a), b), a) = mult(mult(mult(mult(a, b), c), a), mult(b, a)))))))),
% 5.68/5.85 inference(rewrite,[status(thm)],[])).
% 5.68/5.85 tff(11295,plain,
% 5.68/5.85 ((~![X0: $i, X1: $i, X2: $i] : ((~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X2, X1)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X1, X2)))))) | (~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X1, X2)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X2, X1)))))))) | ((~((~(mult(mult(mult(mult(mult(a, b), c), a), a), b) = mult(mult(mult(mult(a, b), c), a), mult(b, a)))) | (~(mult(mult(mult(mult(mult(a, b), c), a), b), a) = mult(mult(mult(mult(a, b), c), a), mult(a, b)))))) | (~((~(mult(mult(mult(mult(mult(a, b), c), a), a), b) = mult(mult(mult(mult(a, b), c), a), mult(a, b)))) | (~(mult(mult(mult(mult(mult(a, b), c), a), b), a) = mult(mult(mult(mult(a, b), c), a), mult(b, a)))))))),
% 5.68/5.85 inference(quant_inst,[status(thm)],[])).
% 5.68/5.85 tff(11296,plain,
% 5.68/5.85 ((~![X0: $i, X1: $i, X2: $i] : ((~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X2, X1)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X1, X2)))))) | (~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X1, X2)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X2, X1)))))))) | (~((~(mult(mult(mult(mult(mult(a, b), c), a), a), b) = mult(mult(mult(mult(a, b), c), a), mult(b, a)))) | (~(mult(mult(mult(mult(mult(a, b), c), a), b), a) = mult(mult(mult(mult(a, b), c), a), mult(a, b)))))) | (~((~(mult(mult(mult(mult(mult(a, b), c), a), a), b) = mult(mult(mult(mult(a, b), c), a), mult(a, b)))) | (~(mult(mult(mult(mult(mult(a, b), c), a), b), a) = mult(mult(mult(mult(a, b), c), a), mult(b, a))))))),
% 5.68/5.85 inference(modus_ponens,[status(thm)],[11295, 11294])).
% 5.68/5.85 tff(11297,plain,
% 5.68/5.85 (~((~(mult(mult(mult(mult(mult(a, b), c), a), a), b) = mult(mult(mult(mult(a, b), c), a), mult(b, a)))) | (~(mult(mult(mult(mult(mult(a, b), c), a), b), a) = mult(mult(mult(mult(a, b), c), a), mult(a, b)))))),
% 5.68/5.85 inference(unit_resolution,[status(thm)],[11296, 30, 11293])).
% 5.68/5.85 tff(11298,plain,
% 5.68/5.85 (((~(mult(mult(mult(mult(mult(a, b), c), a), a), b) = mult(mult(mult(mult(a, b), c), a), mult(b, a)))) | (~(mult(mult(mult(mult(mult(a, b), c), a), b), a) = mult(mult(mult(mult(a, b), c), a), mult(a, b))))) | (mult(mult(mult(mult(mult(a, b), c), a), b), a) = mult(mult(mult(mult(a, b), c), a), mult(a, b)))),
% 5.68/5.85 inference(tautology,[status(thm)],[])).
% 5.68/5.85 tff(11299,plain,
% 5.68/5.85 (mult(mult(mult(mult(mult(a, b), c), a), b), a) = mult(mult(mult(mult(a, b), c), a), mult(a, b))),
% 5.68/5.85 inference(unit_resolution,[status(thm)],[11298, 11297])).
% 5.68/5.85 tff(11300,plain,
% 5.68/5.85 (mult(mult(a, mult(a, c)), a) = mult(a, mult(mult(a, c), a))),
% 5.68/5.85 inference(unit_resolution,[status(thm)],[10473, 11028, 789])).
% 5.68/5.85 tff(11301,plain,
% 5.68/5.85 (mult(mult(mult(a, a), b), c) = mult(mult(a, a), mult(b, c))),
% 5.68/5.85 inference(unit_resolution,[status(thm)],[10483, 11300, 11028])).
% 5.68/5.85 tff(11302,plain,
% 5.68/5.85 (mult(mult(a, mult(mult(b, c), a)), a) = mult(a, mult(mult(mult(b, c), a), a))),
% 5.68/5.85 inference(unit_resolution,[status(thm)],[10556, 11301, 10911])).
% 5.68/5.85 tff(11303,plain,
% 5.68/5.85 (mult(mult(mult(mult(b, a), mult(a, c)), b), a) = mult(mult(mult(b, a), mult(a, c)), mult(a, b))),
% 5.68/5.85 inference(unit_resolution,[status(thm)],[7881, 11285])).
% 5.68/5.85 tff(11304,plain,
% 5.68/5.85 (mult(mult(mult(a, b), a), mult(a, c)) = mult(mult(a, mult(b, a)), mult(a, c))),
% 5.68/5.85 inference(monotonicity,[status(thm)],[4193])).
% 5.68/5.85 tff(11305,plain,
% 5.68/5.85 (mult(mult(a, mult(b, a)), mult(a, c)) = mult(mult(mult(a, b), a), mult(a, c))),
% 5.68/5.85 inference(symmetry,[status(thm)],[11304])).
% 5.68/5.85 tff(11306,plain,
% 5.68/5.85 (mult(a, mult(mult(b, a), mult(a, c))) = mult(mult(a, mult(b, a)), mult(a, c))),
% 5.68/5.85 inference(symmetry,[status(thm)],[11249])).
% 5.68/5.85 tff(11307,plain,
% 5.68/5.85 (mult(mult(b, a), mult(mult(b, a), mult(a, c))) = mult(mult(b, a), mult(b, mult(mult(a, c), a)))),
% 5.68/5.85 inference(monotonicity,[status(thm)],[4651])).
% 5.68/5.85 tff(11308,plain,
% 5.68/5.85 (mult(mult(b, a), mult(b, mult(mult(a, c), a))) = mult(mult(b, a), mult(mult(b, a), mult(a, c)))),
% 5.68/5.85 inference(symmetry,[status(thm)],[11307])).
% 5.68/5.85 tff(11309,plain,
% 5.68/5.85 (mult(mult(mult(a, c), a), b) = mult(a, mult(mult(c, a), b))),
% 5.68/5.85 inference(transitivity,[status(thm)],[1362, 10728, 1282])).
% 5.68/5.85 tff(11310,plain,
% 5.68/5.85 (mult(mult(b, a), mult(mult(mult(a, c), a), b)) = mult(mult(b, a), mult(a, mult(mult(c, a), b)))),
% 5.68/5.85 inference(monotonicity,[status(thm)],[11309])).
% 5.68/5.85 tff(11311,plain,
% 5.68/5.85 (mult(mult(a, mult(mult(c, a), b)), a) = mult(mult(mult(a, c), mult(b, a)), a)),
% 5.68/5.85 inference(monotonicity,[status(thm)],[11070])).
% 5.68/5.85 tff(11312,plain,
% 5.68/5.85 (mult(mult(a, mult(mult(c, a), b)), a) = mult(mult(mult(a, c), a), mult(a, b))),
% 5.68/5.85 inference(transitivity,[status(thm)],[11311, 11029, 10731, 11171])).
% 5.68/5.85 tff(11313,plain,
% 5.68/5.85 (mult(b, mult(mult(a, mult(mult(c, a), b)), a)) = mult(b, mult(mult(mult(a, c), a), mult(a, b)))),
% 5.68/5.85 inference(monotonicity,[status(thm)],[11312])).
% 5.68/5.85 tff(11314,plain,
% 5.68/5.85 (mult(b, mult(mult(mult(a, c), a), mult(a, b))) = mult(b, mult(mult(a, mult(mult(c, a), b)), a))),
% 5.68/5.85 inference(symmetry,[status(thm)],[11313])).
% 5.68/5.85 tff(11315,plain,
% 5.68/5.85 (mult(mult(b, a), mult(mult(mult(c, a), b), a)) = mult(mult(b, a), mult(c, mult(mult(a, b), a)))),
% 5.68/5.85 inference(symmetry,[status(thm)],[11223])).
% 5.68/5.85 tff(11316,assumption,(mult(mult(mult(mult(b, a), mult(a, c)), b), a) = mult(mult(mult(b, a), mult(a, c)), mult(a, b))), introduced(assumption)).
% 5.68/5.85 tff(11317,plain,
% 5.68/5.85 (~(mult(mult(b, mult(a, c)), a) = mult(b, mult(mult(a, c), a)))),
% 5.68/5.85 inference(unit_resolution,[status(thm)],[5723, 11128])).
% 5.68/5.85 tff(11318,plain,
% 5.68/5.85 ((mult(mult(b, mult(a, c)), a) = mult(b, mult(mult(a, c), a))) | (~(mult(mult(b, a), mult(a, c)) = mult(b, mult(a, mult(a, c)))))),
% 5.68/5.85 inference(unit_resolution,[status(thm)],[5741, 3530])).
% 5.68/5.85 tff(11319,plain,
% 5.68/5.85 (~(mult(mult(b, a), mult(a, c)) = mult(b, mult(a, mult(a, c))))),
% 5.68/5.85 inference(unit_resolution,[status(thm)],[11318, 11317])).
% 5.68/5.85 tff(11320,plain,
% 5.68/5.85 ((~![B: $i, A: $i] : (rd(mult(A, B), B) = A)) | (rd(mult(mult(b, mult(a, mult(a, c))), a), a) = mult(b, mult(a, mult(a, c))))),
% 5.68/5.85 inference(quant_inst,[status(thm)],[])).
% 5.68/5.85 tff(11321,plain,
% 5.68/5.85 (rd(mult(mult(b, mult(a, mult(a, c))), a), a) = mult(b, mult(a, mult(a, c)))),
% 5.68/5.85 inference(unit_resolution,[status(thm)],[11320, 72])).
% 5.68/5.85 tff(11322,assumption,(~(mult(mult(b, mult(a, mult(a, c))), a) = mult(b, mult(a, mult(a, mult(a, c)))))), introduced(assumption)).
% 5.68/5.85 tff(11323,plain,
% 5.68/5.85 (((~(mult(mult(b, mult(a, mult(a, c))), a) = mult(b, mult(a, mult(a, mult(a, c)))))) | (~(mult(mult(b, a), mult(a, mult(a, c))) = mult(b, mult(mult(a, mult(a, c)), a))))) | (mult(mult(b, mult(a, mult(a, c))), a) = mult(b, mult(a, mult(a, mult(a, c)))))),
% 5.68/5.85 inference(tautology,[status(thm)],[])).
% 5.68/5.85 tff(11324,plain,
% 5.68/5.85 ((~(mult(mult(b, mult(a, mult(a, c))), a) = mult(b, mult(a, mult(a, mult(a, c)))))) | (~(mult(mult(b, a), mult(a, mult(a, c))) = mult(b, mult(mult(a, mult(a, c)), a))))),
% 5.68/5.85 inference(unit_resolution,[status(thm)],[11323, 11322])).
% 5.68/5.85 tff(11325,plain,
% 5.68/5.85 (((~![X0: $i, X1: $i, X2: $i] : ((~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X2, X1)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X1, X2)))))) | (~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X1, X2)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X2, X1)))))))) | ((~((~(mult(mult(b, mult(a, mult(a, c))), a) = mult(b, mult(a, mult(a, mult(a, c)))))) | (~(mult(mult(b, a), mult(a, mult(a, c))) = mult(b, mult(mult(a, mult(a, c)), a)))))) | (~((~(mult(mult(b, mult(a, mult(a, c))), a) = mult(b, mult(mult(a, mult(a, c)), a)))) | (~(mult(mult(b, a), mult(a, mult(a, c))) = mult(b, mult(a, mult(a, mult(a, c)))))))))) <=> ((~![X0: $i, X1: $i, X2: $i] : ((~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X2, X1)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X1, X2)))))) | (~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X1, X2)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X2, X1)))))))) | (~((~(mult(mult(b, mult(a, mult(a, c))), a) = mult(b, mult(a, mult(a, mult(a, c)))))) | (~(mult(mult(b, a), mult(a, mult(a, c))) = mult(b, mult(mult(a, mult(a, c)), a)))))) | (~((~(mult(mult(b, mult(a, mult(a, c))), a) = mult(b, mult(mult(a, mult(a, c)), a)))) | (~(mult(mult(b, a), mult(a, mult(a, c))) = mult(b, mult(a, mult(a, mult(a, c)))))))))),
% 5.68/5.85 inference(rewrite,[status(thm)],[])).
% 5.68/5.85 tff(11326,plain,
% 5.68/5.85 ((~![X0: $i, X1: $i, X2: $i] : ((~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X2, X1)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X1, X2)))))) | (~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X1, X2)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X2, X1)))))))) | ((~((~(mult(mult(b, mult(a, mult(a, c))), a) = mult(b, mult(a, mult(a, mult(a, c)))))) | (~(mult(mult(b, a), mult(a, mult(a, c))) = mult(b, mult(mult(a, mult(a, c)), a)))))) | (~((~(mult(mult(b, mult(a, mult(a, c))), a) = mult(b, mult(mult(a, mult(a, c)), a)))) | (~(mult(mult(b, a), mult(a, mult(a, c))) = mult(b, mult(a, mult(a, mult(a, c)))))))))),
% 5.68/5.85 inference(quant_inst,[status(thm)],[])).
% 5.68/5.85 tff(11327,plain,
% 5.68/5.85 ((~![X0: $i, X1: $i, X2: $i] : ((~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X2, X1)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X1, X2)))))) | (~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X1, X2)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X2, X1)))))))) | (~((~(mult(mult(b, mult(a, mult(a, c))), a) = mult(b, mult(a, mult(a, mult(a, c)))))) | (~(mult(mult(b, a), mult(a, mult(a, c))) = mult(b, mult(mult(a, mult(a, c)), a)))))) | (~((~(mult(mult(b, mult(a, mult(a, c))), a) = mult(b, mult(mult(a, mult(a, c)), a)))) | (~(mult(mult(b, a), mult(a, mult(a, c))) = mult(b, mult(a, mult(a, mult(a, c))))))))),
% 5.68/5.85 inference(modus_ponens,[status(thm)],[11326, 11325])).
% 5.68/5.85 tff(11328,plain,
% 5.68/5.85 ((~((~(mult(mult(b, mult(a, mult(a, c))), a) = mult(b, mult(a, mult(a, mult(a, c)))))) | (~(mult(mult(b, a), mult(a, mult(a, c))) = mult(b, mult(mult(a, mult(a, c)), a)))))) | (~((~(mult(mult(b, mult(a, mult(a, c))), a) = mult(b, mult(mult(a, mult(a, c)), a)))) | (~(mult(mult(b, a), mult(a, mult(a, c))) = mult(b, mult(a, mult(a, mult(a, c))))))))),
% 5.68/5.85 inference(unit_resolution,[status(thm)],[11327, 30])).
% 5.68/5.85 tff(11329,plain,
% 5.68/5.85 (~((~(mult(mult(b, mult(a, mult(a, c))), a) = mult(b, mult(mult(a, mult(a, c)), a)))) | (~(mult(mult(b, a), mult(a, mult(a, c))) = mult(b, mult(a, mult(a, mult(a, c)))))))),
% 5.68/5.85 inference(unit_resolution,[status(thm)],[11328, 11324])).
% 5.68/5.85 tff(11330,plain,
% 5.68/5.85 (((~(mult(mult(b, mult(a, mult(a, c))), a) = mult(b, mult(mult(a, mult(a, c)), a)))) | (~(mult(mult(b, a), mult(a, mult(a, c))) = mult(b, mult(a, mult(a, mult(a, c))))))) | (mult(mult(b, mult(a, mult(a, c))), a) = mult(b, mult(mult(a, mult(a, c)), a)))),
% 5.68/5.85 inference(tautology,[status(thm)],[])).
% 5.68/5.85 tff(11331,plain,
% 5.68/5.85 (mult(mult(b, mult(a, mult(a, c))), a) = mult(b, mult(mult(a, mult(a, c)), a))),
% 5.68/5.85 inference(unit_resolution,[status(thm)],[11330, 11329])).
% 5.68/5.85 tff(11332,plain,
% 5.68/5.85 (mult(b, mult(mult(a, mult(a, c)), a)) = mult(mult(b, mult(a, mult(a, c))), a)),
% 5.68/5.85 inference(symmetry,[status(thm)],[11331])).
% 5.68/5.85 tff(11333,plain,
% 5.68/5.85 (mult(mult(mult(b, a), mult(a, c)), a) = mult(mult(b, mult(a, mult(a, c))), a)),
% 5.68/5.85 inference(transitivity,[status(thm)],[10949, 11332])).
% 5.68/5.85 tff(11334,plain,
% 5.68/5.85 (rd(mult(mult(mult(b, a), mult(a, c)), a), a) = rd(mult(mult(b, mult(a, mult(a, c))), a), a)),
% 5.68/5.85 inference(monotonicity,[status(thm)],[11333])).
% 5.68/5.85 tff(11335,plain,
% 5.68/5.85 ((~![B: $i, A: $i] : (rd(mult(A, B), B) = A)) | (rd(mult(mult(mult(b, a), mult(a, c)), a), a) = mult(mult(b, a), mult(a, c)))),
% 5.68/5.85 inference(quant_inst,[status(thm)],[])).
% 5.68/5.85 tff(11336,plain,
% 5.68/5.85 (rd(mult(mult(mult(b, a), mult(a, c)), a), a) = mult(mult(b, a), mult(a, c))),
% 5.68/5.85 inference(unit_resolution,[status(thm)],[11335, 72])).
% 5.68/5.85 tff(11337,plain,
% 5.68/5.85 (mult(mult(b, a), mult(a, c)) = rd(mult(mult(mult(b, a), mult(a, c)), a), a)),
% 5.68/5.85 inference(symmetry,[status(thm)],[11336])).
% 5.68/5.85 tff(11338,plain,
% 5.68/5.85 (mult(mult(b, a), mult(a, c)) = mult(b, mult(a, mult(a, c)))),
% 5.68/5.85 inference(transitivity,[status(thm)],[11337, 11334, 11321])).
% 5.68/5.85 tff(11339,plain,
% 5.68/5.85 ($false),
% 5.68/5.85 inference(unit_resolution,[status(thm)],[5755, 11338])).
% 5.68/5.85 tff(11340,plain,((mult(mult(b, mult(a, mult(a, c))), a) = mult(b, mult(a, mult(a, mult(a, c))))) | (mult(mult(b, a), mult(a, c)) = mult(b, mult(a, mult(a, c))))), inference(lemma,lemma(discharge,[]))).
% 5.68/5.85 tff(11341,plain,
% 5.68/5.85 (mult(mult(b, mult(a, mult(a, c))), a) = mult(b, mult(a, mult(a, mult(a, c))))),
% 5.68/5.85 inference(unit_resolution,[status(thm)],[11340, 11319])).
% 5.68/5.85 tff(11342,assumption,(~(mult(mult(b, a), mult(a, mult(a, c))) = mult(b, mult(mult(a, mult(a, c)), a)))), introduced(assumption)).
% 5.68/5.85 tff(11343,plain,
% 5.68/5.85 (((~(mult(mult(b, mult(a, mult(a, c))), a) = mult(b, mult(a, mult(a, mult(a, c)))))) | (~(mult(mult(b, a), mult(a, mult(a, c))) = mult(b, mult(mult(a, mult(a, c)), a))))) | (mult(mult(b, a), mult(a, mult(a, c))) = mult(b, mult(mult(a, mult(a, c)), a)))),
% 5.68/5.85 inference(tautology,[status(thm)],[])).
% 5.68/5.85 tff(11344,plain,
% 5.68/5.85 ((~(mult(mult(b, mult(a, mult(a, c))), a) = mult(b, mult(a, mult(a, mult(a, c)))))) | (~(mult(mult(b, a), mult(a, mult(a, c))) = mult(b, mult(mult(a, mult(a, c)), a))))),
% 5.68/5.85 inference(unit_resolution,[status(thm)],[11343, 11342])).
% 5.68/5.85 tff(11345,plain,
% 5.68/5.85 (~((~(mult(mult(b, mult(a, mult(a, c))), a) = mult(b, mult(mult(a, mult(a, c)), a)))) | (~(mult(mult(b, a), mult(a, mult(a, c))) = mult(b, mult(a, mult(a, mult(a, c)))))))),
% 5.68/5.85 inference(unit_resolution,[status(thm)],[11328, 11344])).
% 5.68/5.85 tff(11346,plain,
% 5.68/5.85 (((~(mult(mult(b, mult(a, mult(a, c))), a) = mult(b, mult(mult(a, mult(a, c)), a)))) | (~(mult(mult(b, a), mult(a, mult(a, c))) = mult(b, mult(a, mult(a, mult(a, c))))))) | (mult(mult(b, a), mult(a, mult(a, c))) = mult(b, mult(a, mult(a, mult(a, c)))))),
% 5.68/5.85 inference(tautology,[status(thm)],[])).
% 5.68/5.85 tff(11347,plain,
% 5.68/5.85 (mult(mult(b, a), mult(a, mult(a, c))) = mult(b, mult(a, mult(a, mult(a, c))))),
% 5.68/5.85 inference(unit_resolution,[status(thm)],[11346, 11345])).
% 5.68/5.85 tff(11348,plain,
% 5.68/5.85 (mult(b, mult(a, mult(a, mult(a, c)))) = mult(mult(b, a), mult(a, mult(a, c)))),
% 5.68/5.85 inference(symmetry,[status(thm)],[11347])).
% 5.68/5.85 tff(11349,plain,
% 5.68/5.85 (mult(mult(b, mult(a, mult(a, c))), a) = mult(b, mult(mult(a, mult(a, c)), a))),
% 5.68/5.85 inference(unit_resolution,[status(thm)],[11330, 11345])).
% 5.68/5.85 tff(11350,plain,
% 5.68/5.85 (mult(mult(b, mult(a, mult(a, c))), a) = mult(mult(mult(b, a), mult(a, c)), a)),
% 5.68/5.85 inference(transitivity,[status(thm)],[11349, 10950])).
% 5.68/5.85 tff(11351,plain,
% 5.68/5.85 ((mult(mult(b, mult(a, mult(a, c))), a) = mult(b, mult(a, mult(a, mult(a, c))))) <=> (mult(mult(mult(b, a), mult(a, c)), a) = mult(mult(b, a), mult(a, mult(a, c))))),
% 5.68/5.85 inference(monotonicity,[status(thm)],[11350, 11348])).
% 5.68/5.85 tff(11352,plain,
% 5.68/5.85 ((mult(mult(mult(b, a), mult(a, c)), a) = mult(mult(b, a), mult(a, mult(a, c)))) <=> (mult(mult(b, mult(a, mult(a, c))), a) = mult(b, mult(a, mult(a, mult(a, c)))))),
% 5.68/5.85 inference(symmetry,[status(thm)],[11351])).
% 5.68/5.85 tff(11353,plain,
% 5.68/5.85 ((~(mult(mult(mult(b, a), mult(a, c)), a) = mult(mult(b, a), mult(a, mult(a, c))))) <=> (~(mult(mult(b, mult(a, mult(a, c))), a) = mult(b, mult(a, mult(a, mult(a, c))))))),
% 5.68/5.85 inference(monotonicity,[status(thm)],[11352])).
% 5.68/5.85 tff(11354,plain,
% 5.68/5.85 ((mult(mult(b, a), mult(a, mult(a, c))) = mult(mult(mult(b, a), mult(a, c)), a)) <=> (mult(mult(mult(b, a), mult(a, c)), a) = mult(mult(b, a), mult(a, mult(a, c))))),
% 5.68/5.85 inference(commutativity,[status(thm)],[])).
% 5.68/5.85 tff(11355,plain,
% 5.68/5.85 ((mult(mult(b, a), mult(a, mult(a, c))) = mult(b, mult(mult(a, mult(a, c)), a))) <=> (mult(mult(b, a), mult(a, mult(a, c))) = mult(mult(mult(b, a), mult(a, c)), a))),
% 5.68/5.85 inference(monotonicity,[status(thm)],[10950])).
% 5.68/5.85 tff(11356,plain,
% 5.68/5.86 ((mult(mult(b, a), mult(a, mult(a, c))) = mult(b, mult(mult(a, mult(a, c)), a))) <=> (mult(mult(mult(b, a), mult(a, c)), a) = mult(mult(b, a), mult(a, mult(a, c))))),
% 5.68/5.86 inference(transitivity,[status(thm)],[11355, 11354])).
% 5.68/5.86 tff(11357,plain,
% 5.68/5.86 ((~(mult(mult(b, a), mult(a, mult(a, c))) = mult(b, mult(mult(a, mult(a, c)), a)))) <=> (~(mult(mult(mult(b, a), mult(a, c)), a) = mult(mult(b, a), mult(a, mult(a, c)))))),
% 5.68/5.86 inference(monotonicity,[status(thm)],[11356])).
% 5.68/5.86 tff(11358,plain,
% 5.68/5.86 (~(mult(mult(mult(b, a), mult(a, c)), a) = mult(mult(b, a), mult(a, mult(a, c))))),
% 5.68/5.86 inference(modus_ponens,[status(thm)],[11342, 11357])).
% 5.68/5.86 tff(11359,plain,
% 5.68/5.86 (~(mult(mult(b, mult(a, mult(a, c))), a) = mult(b, mult(a, mult(a, mult(a, c)))))),
% 5.68/5.86 inference(modus_ponens,[status(thm)],[11358, 11353])).
% 5.68/5.86 tff(11360,assumption,(mult(mult(b, mult(a, mult(a, c))), a) = mult(b, mult(a, mult(a, mult(a, c))))), introduced(assumption)).
% 5.68/5.86 tff(11361,plain,
% 5.68/5.86 ($false),
% 5.68/5.86 inference(unit_resolution,[status(thm)],[11360, 11359])).
% 5.68/5.86 tff(11362,plain,((mult(mult(b, a), mult(a, mult(a, c))) = mult(b, mult(mult(a, mult(a, c)), a))) | (~(mult(mult(b, mult(a, mult(a, c))), a) = mult(b, mult(a, mult(a, mult(a, c))))))), inference(lemma,lemma(discharge,[]))).
% 5.68/5.86 tff(11363,plain,
% 5.68/5.86 (mult(mult(b, a), mult(a, mult(a, c))) = mult(b, mult(mult(a, mult(a, c)), a))),
% 5.68/5.86 inference(unit_resolution,[status(thm)],[11362, 11341])).
% 5.68/5.86 tff(11364,plain,
% 5.68/5.86 (~(mult(b, mult(c, a)) = mult(b, mult(a, c)))),
% 5.68/5.86 inference(modus_ponens,[status(thm)],[11128, 5986])).
% 5.68/5.86 tff(11365,plain,
% 5.68/5.86 (~(mult(c, a) = mult(a, c))),
% 5.68/5.86 inference(unit_resolution,[status(thm)],[2459, 11364])).
% 5.68/5.86 tff(11366,assumption,(mult(mult(mult(b, a), mult(a, c)), mult(b, a)) = mult(mult(b, a), mult(mult(a, c), mult(b, a)))), introduced(assumption)).
% 5.68/5.86 tff(11367,assumption,(mult(mult(b, a), mult(a, mult(a, c))) = mult(b, mult(mult(a, mult(a, c)), a))), introduced(assumption)).
% 5.68/5.86 tff(11368,plain,
% 5.68/5.86 (mult(mult(b, a), mult(a, mult(a, c))) = mult(mult(mult(b, a), mult(a, c)), a)),
% 5.68/5.86 inference(transitivity,[status(thm)],[11367, 10950])).
% 5.68/5.86 tff(11369,plain,
% 5.68/5.86 (mult(mult(mult(b, a), mult(a, mult(a, c))), b) = mult(mult(mult(mult(b, a), mult(a, c)), a), b)),
% 5.68/5.86 inference(monotonicity,[status(thm)],[11368])).
% 5.68/5.86 tff(11370,assumption,(mult(mult(mult(b, a), mult(a, mult(a, c))), b) = mult(mult(b, a), mult(mult(a, mult(a, c)), b))), introduced(assumption)).
% 5.68/5.86 tff(11371,plain,
% 5.68/5.86 (mult(mult(b, a), mult(mult(a, mult(a, c)), b)) = mult(mult(mult(b, a), mult(a, mult(a, c))), b)),
% 5.68/5.86 inference(symmetry,[status(thm)],[11370])).
% 5.68/5.86 tff(11372,plain,
% 5.68/5.86 (mult(mult(a, a), mult(c, b)) = mult(mult(a, mult(a, c)), b)),
% 5.68/5.86 inference(transitivity,[status(thm)],[8185, 11078, 939])).
% 5.68/5.86 tff(11373,plain,
% 5.68/5.86 (mult(mult(b, a), mult(mult(a, a), mult(c, b))) = mult(mult(b, a), mult(mult(a, mult(a, c)), b))),
% 5.68/5.86 inference(monotonicity,[status(thm)],[11372])).
% 5.68/5.86 tff(11374,plain,
% 5.68/5.86 (mult(mult(b, a), mult(mult(a, a), mult(c, b))) = mult(mult(b, a), mult(a, mult(mult(c, a), b)))),
% 5.68/5.86 inference(transitivity,[status(thm)],[11373, 11371, 11369, 10947, 11366, 11135])).
% 5.68/5.86 tff(11375,plain,
% 5.68/5.86 (ld(mult(b, a), mult(mult(b, a), mult(mult(a, a), mult(c, b)))) = ld(mult(b, a), mult(mult(b, a), mult(a, mult(mult(c, a), b))))),
% 5.68/5.86 inference(monotonicity,[status(thm)],[11374])).
% 5.68/5.86 tff(11376,plain,
% 5.68/5.86 ((~![B: $i, A: $i] : (ld(A, mult(A, B)) = B)) | (ld(mult(b, a), mult(mult(b, a), mult(mult(a, a), mult(c, b)))) = mult(mult(a, a), mult(c, b)))),
% 5.68/5.86 inference(quant_inst,[status(thm)],[])).
% 5.68/5.86 tff(11377,plain,
% 5.68/5.86 (ld(mult(b, a), mult(mult(b, a), mult(mult(a, a), mult(c, b)))) = mult(mult(a, a), mult(c, b))),
% 5.68/5.86 inference(unit_resolution,[status(thm)],[11376, 9])).
% 5.68/5.86 tff(11378,plain,
% 5.68/5.86 (mult(mult(a, a), mult(c, b)) = ld(mult(b, a), mult(mult(b, a), mult(mult(a, a), mult(c, b))))),
% 5.68/5.86 inference(symmetry,[status(thm)],[11377])).
% 5.68/5.86 tff(11379,plain,
% 5.68/5.86 (mult(a, mult(a, mult(c, b))) = mult(a, mult(mult(c, a), b))),
% 5.68/5.86 inference(transitivity,[status(thm)],[8186, 11378, 11375, 11133])).
% 5.68/5.86 tff(11380,plain,
% 5.68/5.86 (ld(a, mult(a, mult(a, mult(c, b)))) = ld(a, mult(a, mult(mult(c, a), b)))),
% 5.68/5.86 inference(monotonicity,[status(thm)],[11379])).
% 5.68/5.86 tff(11381,plain,
% 5.68/5.86 (ld(a, mult(a, mult(mult(c, a), b))) = ld(a, mult(a, mult(a, mult(c, b))))),
% 5.68/5.86 inference(symmetry,[status(thm)],[11380])).
% 5.68/5.86 tff(11382,plain,
% 5.68/5.86 (mult(mult(c, a), b) = mult(mult(a, c), b)),
% 5.68/5.86 inference(transitivity,[status(thm)],[210, 11381, 802, 9246])).
% 5.68/5.86 tff(11383,plain,
% 5.68/5.86 (rd(mult(mult(c, a), b), b) = rd(mult(mult(a, c), b), b)),
% 5.68/5.86 inference(monotonicity,[status(thm)],[11382])).
% 5.68/5.86 tff(11384,plain,
% 5.68/5.86 (mult(c, a) = mult(a, c)),
% 5.68/5.86 inference(transitivity,[status(thm)],[359, 11383, 344])).
% 5.68/5.86 tff(11385,plain,
% 5.68/5.86 ($false),
% 5.68/5.86 inference(unit_resolution,[status(thm)],[2466, 11384])).
% 5.68/5.86 tff(11386,plain,((~(mult(mult(mult(b, a), mult(a, mult(a, c))), b) = mult(mult(b, a), mult(mult(a, mult(a, c)), b)))) | (mult(c, a) = mult(a, c)) | (~(mult(mult(mult(b, a), mult(a, c)), mult(b, a)) = mult(mult(b, a), mult(mult(a, c), mult(b, a))))) | (~(mult(mult(mult(mult(b, a), mult(a, c)), a), b) = mult(mult(mult(b, a), mult(a, c)), mult(b, a)))) | (~(mult(mult(b, a), mult(a, mult(a, c))) = mult(b, mult(mult(a, mult(a, c)), a)))) | (~(mult(mult(a, mult(a, c)), b) = mult(a, mult(mult(a, c), b)))) | (~(mult(mult(a, c), mult(b, a)) = mult(a, mult(c, mult(b, a))))) | (~(mult(mult(c, a), b) = mult(c, mult(b, a))))), inference(lemma,lemma(discharge,[]))).
% 5.68/5.86 tff(11387,plain,
% 5.68/5.86 (~(mult(mult(mult(b, a), mult(a, mult(a, c))), b) = mult(mult(b, a), mult(mult(a, mult(a, c)), b)))),
% 5.68/5.86 inference(unit_resolution,[status(thm)],[11386, 11152, 10947, 11365, 11363, 11028, 10728, 342])).
% 5.68/5.86 tff(11388,plain,
% 5.68/5.86 (mult(mult(mult(mult(b, mult(c, a)), a), b), a) = mult(mult(mult(mult(b, a), mult(a, c)), b), a)),
% 5.68/5.86 inference(monotonicity,[status(thm)],[4199])).
% 5.68/5.86 tff(11389,plain,
% 5.68/5.86 (mult(mult(mult(mult(b, a), mult(a, c)), b), a) = mult(mult(mult(mult(b, mult(c, a)), a), b), a)),
% 5.68/5.86 inference(symmetry,[status(thm)],[11388])).
% 5.68/5.86 tff(11390,plain,
% 5.68/5.86 (mult(mult(mult(b, a), mult(a, c)), mult(a, b)) = mult(mult(mult(mult(b, a), mult(a, c)), b), a)),
% 5.68/5.86 inference(symmetry,[status(thm)],[11316])).
% 5.68/5.86 tff(11391,plain,
% 5.68/5.86 (mult(mult(mult(b, a), mult(a, c)), mult(a, b)) = mult(mult(b, mult(mult(a, c), a)), mult(a, b))),
% 5.68/5.86 inference(monotonicity,[status(thm)],[4651])).
% 5.68/5.86 tff(11392,plain,
% 5.68/5.86 (mult(mult(b, mult(mult(a, c), a)), mult(a, b)) = mult(mult(mult(b, a), mult(a, c)), mult(a, b))),
% 5.68/5.86 inference(symmetry,[status(thm)],[11391])).
% 5.68/5.86 tff(11393,assumption,(~(mult(mult(mult(b, a), mult(a, mult(a, c))), b) = mult(mult(b, a), mult(mult(a, mult(a, c)), b)))), introduced(assumption)).
% 5.68/5.86 tff(11394,assumption,(mult(mult(mult(b, a), c), mult(mult(a, b), a)) = mult(mult(b, a), mult(c, mult(mult(a, b), a)))), introduced(assumption)).
% 5.68/5.86 tff(11395,plain,
% 5.68/5.86 (mult(mult(b, mult(c, a)), mult(mult(a, b), a)) = mult(mult(mult(b, a), c), mult(mult(a, b), a))),
% 5.68/5.86 inference(monotonicity,[status(thm)],[3531])).
% 5.68/5.86 tff(11396,plain,
% 5.68/5.86 (mult(mult(mult(b, a), c), mult(mult(a, b), a)) = mult(mult(b, mult(c, a)), mult(mult(a, b), a))),
% 5.68/5.86 inference(symmetry,[status(thm)],[11395])).
% 5.68/5.86 tff(11397,plain,
% 5.68/5.86 (mult(mult(b, a), mult(c, mult(mult(a, b), a))) = mult(mult(mult(b, a), c), mult(mult(a, b), a))),
% 5.68/5.86 inference(symmetry,[status(thm)],[11394])).
% 5.68/5.86 tff(11398,assumption,(mult(mult(mult(b, a), mult(mult(c, a), b)), a) = mult(mult(b, a), mult(mult(mult(c, a), b), a))), introduced(assumption)).
% 5.68/5.86 tff(11399,plain,
% 5.68/5.86 (mult(b, mult(mult(a, mult(mult(c, a), b)), a)) = mult(mult(mult(b, a), mult(mult(c, a), b)), a)),
% 5.68/5.86 inference(symmetry,[status(thm)],[11157])).
% 5.68/5.86 tff(11400,plain,
% 5.68/5.86 (mult(mult(a, mult(mult(c, a), b)), a) = mult(mult(mult(a, c), a), mult(a, b))),
% 5.68/5.86 inference(transitivity,[status(thm)],[11033, 11029, 10731, 11171])).
% 5.68/5.86 tff(11401,plain,
% 5.68/5.86 (mult(b, mult(mult(a, mult(mult(c, a), b)), a)) = mult(b, mult(mult(mult(a, c), a), mult(a, b)))),
% 5.68/5.86 inference(monotonicity,[status(thm)],[11400])).
% 5.68/5.86 tff(11402,plain,
% 5.68/5.86 (mult(b, mult(mult(mult(a, c), a), mult(a, b))) = mult(b, mult(mult(a, mult(mult(c, a), b)), a))),
% 5.68/5.86 inference(symmetry,[status(thm)],[11401])).
% 5.68/5.86 tff(11403,plain,
% 5.68/5.86 (mult(a, mult(mult(b, c), a)) = mult(mult(a, mult(b, c)), a)),
% 5.68/5.86 inference(symmetry,[status(thm)],[10912])).
% 5.68/5.86 tff(11404,plain,
% 5.68/5.86 (mult(a, mult(mult(b, c), a)) = mult(mult(mult(a, b), c), a)),
% 5.68/5.86 inference(transitivity,[status(thm)],[11403, 10660])).
% 5.68/5.86 tff(11405,plain,
% 5.68/5.86 (mult(mult(a, mult(mult(b, c), a)), a) = mult(mult(mult(mult(a, b), c), a), a)),
% 5.68/5.86 inference(monotonicity,[status(thm)],[11404])).
% 5.68/5.86 tff(11406,plain,
% 5.68/5.86 (mult(mult(mult(mult(a, b), c), a), a) = mult(mult(a, mult(mult(b, c), a)), a)),
% 5.68/5.86 inference(symmetry,[status(thm)],[11405])).
% 5.68/5.86 tff(11407,plain,
% 5.68/5.86 ((~![B: $i, A: $i] : (rd(mult(A, B), B) = A)) | (rd(mult(mult(b, mult(a, mult(a, c))), mult(a, b)), mult(a, b)) = mult(b, mult(a, mult(a, c))))),
% 5.68/5.86 inference(quant_inst,[status(thm)],[])).
% 5.68/5.86 tff(11408,plain,
% 5.68/5.86 (rd(mult(mult(b, mult(a, mult(a, c))), mult(a, b)), mult(a, b)) = mult(b, mult(a, mult(a, c)))),
% 5.68/5.86 inference(unit_resolution,[status(thm)],[11407, 72])).
% 5.68/5.86 tff(11409,plain,
% 5.68/5.86 ((mult(mult(b, a), mult(mult(a, mult(a, c)), b)) = mult(mult(mult(b, a), mult(a, mult(a, c))), b)) <=> (mult(mult(mult(b, a), mult(a, mult(a, c))), b) = mult(mult(b, a), mult(mult(a, mult(a, c)), b)))),
% 5.68/5.86 inference(commutativity,[status(thm)],[])).
% 5.68/5.86 tff(11410,plain,
% 5.68/5.86 (mult(mult(mult(mult(b, a), mult(a, c)), a), b) = mult(mult(mult(b, a), mult(a, mult(a, c))), b)),
% 5.68/5.86 inference(symmetry,[status(thm)],[11369])).
% 5.68/5.86 tff(11411,plain,
% 5.68/5.86 (mult(mult(mult(b, a), mult(a, c)), mult(b, a)) = mult(mult(mult(mult(b, a), mult(a, c)), a), b)),
% 5.68/5.86 inference(symmetry,[status(thm)],[10947])).
% 5.68/5.86 tff(11412,plain,
% 5.68/5.86 (mult(mult(b, a), mult(mult(a, c), mult(b, a))) = mult(mult(mult(b, a), mult(a, c)), mult(b, a))),
% 5.68/5.86 inference(symmetry,[status(thm)],[11366])).
% 5.68/5.86 tff(11413,plain,
% 5.68/5.86 (mult(b, mult(mult(a, mult(mult(c, a), b)), a)) = mult(mult(b, mult(c, a)), mult(a, mult(b, a)))),
% 5.68/5.86 inference(transitivity,[status(thm)],[11399, 11398, 11315, 11397, 11396, 4196])).
% 5.68/5.86 tff(11414,plain,
% 5.68/5.86 (mult(mult(b, a), mult(a, mult(mult(c, a), b))) = mult(mult(mult(b, mult(c, a)), a), mult(b, a))),
% 5.68/5.86 inference(transitivity,[status(thm)],[11134, 11412, 3535])).
% 5.68/5.86 tff(11415,plain,
% 5.68/5.86 ((mult(mult(b, a), mult(a, mult(mult(c, a), b))) = mult(b, mult(mult(a, mult(mult(c, a), b)), a))) <=> (mult(mult(mult(b, mult(c, a)), a), mult(b, a)) = mult(mult(b, mult(c, a)), mult(a, mult(b, a))))),
% 5.68/5.86 inference(monotonicity,[status(thm)],[11414, 11413])).
% 5.68/5.86 tff(11416,plain,
% 5.68/5.86 ((mult(mult(mult(b, mult(c, a)), a), mult(b, a)) = mult(mult(b, mult(c, a)), mult(a, mult(b, a)))) <=> (mult(mult(b, a), mult(a, mult(mult(c, a), b))) = mult(b, mult(mult(a, mult(mult(c, a), b)), a)))),
% 5.68/5.86 inference(symmetry,[status(thm)],[11415])).
% 5.68/5.86 tff(11417,plain,
% 5.68/5.86 ((~(mult(mult(mult(b, mult(c, a)), a), mult(b, a)) = mult(mult(b, mult(c, a)), mult(a, mult(b, a))))) <=> (~(mult(mult(b, a), mult(a, mult(mult(c, a), b))) = mult(b, mult(mult(a, mult(mult(c, a), b)), a))))),
% 5.68/5.86 inference(monotonicity,[status(thm)],[11416])).
% 5.68/5.86 tff(11418,plain,
% 5.68/5.86 (~(mult(mult(b, a), mult(a, mult(mult(c, a), b))) = mult(b, mult(mult(a, mult(mult(c, a), b)), a)))),
% 5.68/5.86 inference(modus_ponens,[status(thm)],[10726, 11417])).
% 5.68/5.86 tff(11419,plain,
% 5.68/5.86 (((~(mult(mult(b, a), mult(a, mult(mult(c, a), b))) = mult(b, mult(mult(a, mult(mult(c, a), b)), a)))) | (~(mult(mult(b, mult(a, mult(mult(c, a), b))), a) = mult(b, mult(a, mult(a, mult(mult(c, a), b))))))) | (mult(mult(b, a), mult(a, mult(mult(c, a), b))) = mult(b, mult(mult(a, mult(mult(c, a), b)), a)))),
% 5.68/5.86 inference(tautology,[status(thm)],[])).
% 5.68/5.86 tff(11420,plain,
% 5.68/5.86 ((~(mult(mult(b, a), mult(a, mult(mult(c, a), b))) = mult(b, mult(mult(a, mult(mult(c, a), b)), a)))) | (~(mult(mult(b, mult(a, mult(mult(c, a), b))), a) = mult(b, mult(a, mult(a, mult(mult(c, a), b))))))),
% 5.68/5.86 inference(unit_resolution,[status(thm)],[11419, 11418])).
% 5.68/5.86 tff(11421,plain,
% 5.68/5.86 (((~![X0: $i, X1: $i, X2: $i] : ((~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X2, X1)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X1, X2)))))) | (~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X1, X2)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X2, X1)))))))) | ((~((~(mult(mult(b, a), mult(a, mult(mult(c, a), b))) = mult(b, mult(mult(a, mult(mult(c, a), b)), a)))) | (~(mult(mult(b, mult(a, mult(mult(c, a), b))), a) = mult(b, mult(a, mult(a, mult(mult(c, a), b)))))))) | (~((~(mult(mult(b, mult(a, mult(mult(c, a), b))), a) = mult(b, mult(mult(a, mult(mult(c, a), b)), a)))) | (~(mult(mult(b, a), mult(a, mult(mult(c, a), b))) = mult(b, mult(a, mult(a, mult(mult(c, a), b)))))))))) <=> ((~![X0: $i, X1: $i, X2: $i] : ((~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X2, X1)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X1, X2)))))) | (~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X1, X2)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X2, X1)))))))) | (~((~(mult(mult(b, a), mult(a, mult(mult(c, a), b))) = mult(b, mult(mult(a, mult(mult(c, a), b)), a)))) | (~(mult(mult(b, mult(a, mult(mult(c, a), b))), a) = mult(b, mult(a, mult(a, mult(mult(c, a), b)))))))) | (~((~(mult(mult(b, mult(a, mult(mult(c, a), b))), a) = mult(b, mult(mult(a, mult(mult(c, a), b)), a)))) | (~(mult(mult(b, a), mult(a, mult(mult(c, a), b))) = mult(b, mult(a, mult(a, mult(mult(c, a), b)))))))))),
% 5.68/5.86 inference(rewrite,[status(thm)],[])).
% 5.68/5.86 tff(11422,plain,
% 5.68/5.86 (((~((~(mult(mult(b, mult(a, mult(mult(c, a), b))), a) = mult(b, mult(a, mult(a, mult(mult(c, a), b)))))) | (~(mult(mult(b, a), mult(a, mult(mult(c, a), b))) = mult(b, mult(mult(a, mult(mult(c, a), b)), a)))))) | (~((~(mult(mult(b, mult(a, mult(mult(c, a), b))), a) = mult(b, mult(mult(a, mult(mult(c, a), b)), a)))) | (~(mult(mult(b, a), mult(a, mult(mult(c, a), b))) = mult(b, mult(a, mult(a, mult(mult(c, a), b))))))))) <=> ((~((~(mult(mult(b, a), mult(a, mult(mult(c, a), b))) = mult(b, mult(mult(a, mult(mult(c, a), b)), a)))) | (~(mult(mult(b, mult(a, mult(mult(c, a), b))), a) = mult(b, mult(a, mult(a, mult(mult(c, a), b)))))))) | (~((~(mult(mult(b, mult(a, mult(mult(c, a), b))), a) = mult(b, mult(mult(a, mult(mult(c, a), b)), a)))) | (~(mult(mult(b, a), mult(a, mult(mult(c, a), b))) = mult(b, mult(a, mult(a, mult(mult(c, a), b)))))))))),
% 5.68/5.86 inference(rewrite,[status(thm)],[])).
% 5.68/5.86 tff(11423,plain,
% 5.68/5.86 (((~![X0: $i, X1: $i, X2: $i] : ((~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X2, X1)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X1, X2)))))) | (~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X1, X2)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X2, X1)))))))) | ((~((~(mult(mult(b, mult(a, mult(mult(c, a), b))), a) = mult(b, mult(a, mult(a, mult(mult(c, a), b)))))) | (~(mult(mult(b, a), mult(a, mult(mult(c, a), b))) = mult(b, mult(mult(a, mult(mult(c, a), b)), a)))))) | (~((~(mult(mult(b, mult(a, mult(mult(c, a), b))), a) = mult(b, mult(mult(a, mult(mult(c, a), b)), a)))) | (~(mult(mult(b, a), mult(a, mult(mult(c, a), b))) = mult(b, mult(a, mult(a, mult(mult(c, a), b)))))))))) <=> ((~![X0: $i, X1: $i, X2: $i] : ((~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X2, X1)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X1, X2)))))) | (~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X1, X2)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X2, X1)))))))) | ((~((~(mult(mult(b, a), mult(a, mult(mult(c, a), b))) = mult(b, mult(mult(a, mult(mult(c, a), b)), a)))) | (~(mult(mult(b, mult(a, mult(mult(c, a), b))), a) = mult(b, mult(a, mult(a, mult(mult(c, a), b)))))))) | (~((~(mult(mult(b, mult(a, mult(mult(c, a), b))), a) = mult(b, mult(mult(a, mult(mult(c, a), b)), a)))) | (~(mult(mult(b, a), mult(a, mult(mult(c, a), b))) = mult(b, mult(a, mult(a, mult(mult(c, a), b))))))))))),
% 5.68/5.86 inference(monotonicity,[status(thm)],[11422])).
% 5.68/5.86 tff(11424,plain,
% 5.68/5.86 (((~![X0: $i, X1: $i, X2: $i] : ((~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X2, X1)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X1, X2)))))) | (~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X1, X2)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X2, X1)))))))) | ((~((~(mult(mult(b, mult(a, mult(mult(c, a), b))), a) = mult(b, mult(a, mult(a, mult(mult(c, a), b)))))) | (~(mult(mult(b, a), mult(a, mult(mult(c, a), b))) = mult(b, mult(mult(a, mult(mult(c, a), b)), a)))))) | (~((~(mult(mult(b, mult(a, mult(mult(c, a), b))), a) = mult(b, mult(mult(a, mult(mult(c, a), b)), a)))) | (~(mult(mult(b, a), mult(a, mult(mult(c, a), b))) = mult(b, mult(a, mult(a, mult(mult(c, a), b)))))))))) <=> ((~![X0: $i, X1: $i, X2: $i] : ((~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X2, X1)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X1, X2)))))) | (~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X1, X2)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X2, X1)))))))) | (~((~(mult(mult(b, a), mult(a, mult(mult(c, a), b))) = mult(b, mult(mult(a, mult(mult(c, a), b)), a)))) | (~(mult(mult(b, mult(a, mult(mult(c, a), b))), a) = mult(b, mult(a, mult(a, mult(mult(c, a), b)))))))) | (~((~(mult(mult(b, mult(a, mult(mult(c, a), b))), a) = mult(b, mult(mult(a, mult(mult(c, a), b)), a)))) | (~(mult(mult(b, a), mult(a, mult(mult(c, a), b))) = mult(b, mult(a, mult(a, mult(mult(c, a), b)))))))))),
% 5.68/5.87 inference(transitivity,[status(thm)],[11423, 11421])).
% 5.68/5.87 tff(11425,plain,
% 5.68/5.87 ((~![X0: $i, X1: $i, X2: $i] : ((~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X2, X1)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X1, X2)))))) | (~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X1, X2)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X2, X1)))))))) | ((~((~(mult(mult(b, mult(a, mult(mult(c, a), b))), a) = mult(b, mult(a, mult(a, mult(mult(c, a), b)))))) | (~(mult(mult(b, a), mult(a, mult(mult(c, a), b))) = mult(b, mult(mult(a, mult(mult(c, a), b)), a)))))) | (~((~(mult(mult(b, mult(a, mult(mult(c, a), b))), a) = mult(b, mult(mult(a, mult(mult(c, a), b)), a)))) | (~(mult(mult(b, a), mult(a, mult(mult(c, a), b))) = mult(b, mult(a, mult(a, mult(mult(c, a), b)))))))))),
% 5.68/5.87 inference(quant_inst,[status(thm)],[])).
% 5.68/5.87 tff(11426,plain,
% 5.68/5.87 ((~![X0: $i, X1: $i, X2: $i] : ((~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X2, X1)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X1, X2)))))) | (~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X1, X2)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X2, X1)))))))) | (~((~(mult(mult(b, a), mult(a, mult(mult(c, a), b))) = mult(b, mult(mult(a, mult(mult(c, a), b)), a)))) | (~(mult(mult(b, mult(a, mult(mult(c, a), b))), a) = mult(b, mult(a, mult(a, mult(mult(c, a), b)))))))) | (~((~(mult(mult(b, mult(a, mult(mult(c, a), b))), a) = mult(b, mult(mult(a, mult(mult(c, a), b)), a)))) | (~(mult(mult(b, a), mult(a, mult(mult(c, a), b))) = mult(b, mult(a, mult(a, mult(mult(c, a), b))))))))),
% 5.68/5.87 inference(modus_ponens,[status(thm)],[11425, 11424])).
% 5.68/5.87 tff(11427,plain,
% 5.68/5.87 ((~((~(mult(mult(b, a), mult(a, mult(mult(c, a), b))) = mult(b, mult(mult(a, mult(mult(c, a), b)), a)))) | (~(mult(mult(b, mult(a, mult(mult(c, a), b))), a) = mult(b, mult(a, mult(a, mult(mult(c, a), b)))))))) | (~((~(mult(mult(b, mult(a, mult(mult(c, a), b))), a) = mult(b, mult(mult(a, mult(mult(c, a), b)), a)))) | (~(mult(mult(b, a), mult(a, mult(mult(c, a), b))) = mult(b, mult(a, mult(a, mult(mult(c, a), b))))))))),
% 5.68/5.87 inference(unit_resolution,[status(thm)],[11426, 30])).
% 5.68/5.87 tff(11428,plain,
% 5.68/5.87 (~((~(mult(mult(b, mult(a, mult(mult(c, a), b))), a) = mult(b, mult(mult(a, mult(mult(c, a), b)), a)))) | (~(mult(mult(b, a), mult(a, mult(mult(c, a), b))) = mult(b, mult(a, mult(a, mult(mult(c, a), b)))))))),
% 5.68/5.87 inference(unit_resolution,[status(thm)],[11427, 11420])).
% 5.68/5.87 tff(11429,plain,
% 5.68/5.87 (((~(mult(mult(b, mult(a, mult(mult(c, a), b))), a) = mult(b, mult(mult(a, mult(mult(c, a), b)), a)))) | (~(mult(mult(b, a), mult(a, mult(mult(c, a), b))) = mult(b, mult(a, mult(a, mult(mult(c, a), b))))))) | (mult(mult(b, a), mult(a, mult(mult(c, a), b))) = mult(b, mult(a, mult(a, mult(mult(c, a), b)))))),
% 5.68/5.87 inference(tautology,[status(thm)],[])).
% 5.68/5.87 tff(11430,plain,
% 5.68/5.87 (mult(mult(b, a), mult(a, mult(mult(c, a), b))) = mult(b, mult(a, mult(a, mult(mult(c, a), b))))),
% 5.68/5.87 inference(unit_resolution,[status(thm)],[11429, 11428])).
% 5.68/5.87 tff(11431,plain,
% 5.68/5.87 (mult(b, mult(a, mult(a, mult(mult(c, a), b)))) = mult(mult(b, a), mult(a, mult(mult(c, a), b)))),
% 5.68/5.87 inference(symmetry,[status(thm)],[11430])).
% 5.68/5.87 tff(11432,plain,
% 5.68/5.87 ((~![B: $i, A: $i] : (ld(A, mult(A, B)) = B)) | (ld(mult(b, a), mult(mult(b, a), mult(b, mult(a, mult(a, c))))) = mult(b, mult(a, mult(a, c))))),
% 5.68/5.87 inference(quant_inst,[status(thm)],[])).
% 5.68/5.87 tff(11433,plain,
% 5.68/5.87 (ld(mult(b, a), mult(mult(b, a), mult(b, mult(a, mult(a, c))))) = mult(b, mult(a, mult(a, c)))),
% 5.68/5.87 inference(unit_resolution,[status(thm)],[11432, 9])).
% 5.68/5.87 tff(11434,plain,
% 5.68/5.87 (((~(mult(mult(mult(b, a), b), mult(a, mult(a, c))) = mult(mult(b, a), mult(b, mult(a, mult(a, c)))))) | (~(mult(mult(mult(b, a), mult(a, mult(a, c))), b) = mult(mult(b, a), mult(mult(a, mult(a, c)), b))))) | (mult(mult(mult(b, a), mult(a, mult(a, c))), b) = mult(mult(b, a), mult(mult(a, mult(a, c)), b)))),
% 5.68/5.87 inference(tautology,[status(thm)],[])).
% 5.68/5.87 tff(11435,plain,
% 5.68/5.87 ((~(mult(mult(mult(b, a), b), mult(a, mult(a, c))) = mult(mult(b, a), mult(b, mult(a, mult(a, c)))))) | (~(mult(mult(mult(b, a), mult(a, mult(a, c))), b) = mult(mult(b, a), mult(mult(a, mult(a, c)), b))))),
% 5.68/5.87 inference(unit_resolution,[status(thm)],[11434, 11393])).
% 5.68/5.87 tff(11436,plain,
% 5.68/5.87 (((~![X0: $i, X1: $i, X2: $i] : ((~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X2, X1)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X1, X2)))))) | (~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X1, X2)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X2, X1)))))))) | ((~((~(mult(mult(mult(b, a), b), mult(a, mult(a, c))) = mult(mult(b, a), mult(b, mult(a, mult(a, c)))))) | (~(mult(mult(mult(b, a), mult(a, mult(a, c))), b) = mult(mult(b, a), mult(mult(a, mult(a, c)), b)))))) | (~((~(mult(mult(mult(b, a), b), mult(a, mult(a, c))) = mult(mult(b, a), mult(mult(a, mult(a, c)), b)))) | (~(mult(mult(mult(b, a), mult(a, mult(a, c))), b) = mult(mult(b, a), mult(b, mult(a, mult(a, c)))))))))) <=> ((~![X0: $i, X1: $i, X2: $i] : ((~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X2, X1)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X1, X2)))))) | (~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X1, X2)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X2, X1)))))))) | (~((~(mult(mult(mult(b, a), b), mult(a, mult(a, c))) = mult(mult(b, a), mult(b, mult(a, mult(a, c)))))) | (~(mult(mult(mult(b, a), mult(a, mult(a, c))), b) = mult(mult(b, a), mult(mult(a, mult(a, c)), b)))))) | (~((~(mult(mult(mult(b, a), b), mult(a, mult(a, c))) = mult(mult(b, a), mult(mult(a, mult(a, c)), b)))) | (~(mult(mult(mult(b, a), mult(a, mult(a, c))), b) = mult(mult(b, a), mult(b, mult(a, mult(a, c)))))))))),
% 5.68/5.87 inference(rewrite,[status(thm)],[])).
% 5.68/5.87 tff(11437,plain,
% 5.68/5.87 (((~((~(mult(mult(mult(b, a), b), mult(a, mult(a, c))) = mult(mult(b, a), mult(mult(a, mult(a, c)), b)))) | (~(mult(mult(mult(b, a), mult(a, mult(a, c))), b) = mult(mult(b, a), mult(b, mult(a, mult(a, c)))))))) | (~((~(mult(mult(mult(b, a), b), mult(a, mult(a, c))) = mult(mult(b, a), mult(b, mult(a, mult(a, c)))))) | (~(mult(mult(mult(b, a), mult(a, mult(a, c))), b) = mult(mult(b, a), mult(mult(a, mult(a, c)), b))))))) <=> ((~((~(mult(mult(mult(b, a), b), mult(a, mult(a, c))) = mult(mult(b, a), mult(b, mult(a, mult(a, c)))))) | (~(mult(mult(mult(b, a), mult(a, mult(a, c))), b) = mult(mult(b, a), mult(mult(a, mult(a, c)), b)))))) | (~((~(mult(mult(mult(b, a), b), mult(a, mult(a, c))) = mult(mult(b, a), mult(mult(a, mult(a, c)), b)))) | (~(mult(mult(mult(b, a), mult(a, mult(a, c))), b) = mult(mult(b, a), mult(b, mult(a, mult(a, c)))))))))),
% 5.68/5.87 inference(rewrite,[status(thm)],[])).
% 5.68/5.87 tff(11438,plain,
% 5.68/5.87 (((~![X0: $i, X1: $i, X2: $i] : ((~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X2, X1)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X1, X2)))))) | (~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X1, X2)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X2, X1)))))))) | ((~((~(mult(mult(mult(b, a), b), mult(a, mult(a, c))) = mult(mult(b, a), mult(mult(a, mult(a, c)), b)))) | (~(mult(mult(mult(b, a), mult(a, mult(a, c))), b) = mult(mult(b, a), mult(b, mult(a, mult(a, c)))))))) | (~((~(mult(mult(mult(b, a), b), mult(a, mult(a, c))) = mult(mult(b, a), mult(b, mult(a, mult(a, c)))))) | (~(mult(mult(mult(b, a), mult(a, mult(a, c))), b) = mult(mult(b, a), mult(mult(a, mult(a, c)), b)))))))) <=> ((~![X0: $i, X1: $i, X2: $i] : ((~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X2, X1)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X1, X2)))))) | (~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X1, X2)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X2, X1)))))))) | ((~((~(mult(mult(mult(b, a), b), mult(a, mult(a, c))) = mult(mult(b, a), mult(b, mult(a, mult(a, c)))))) | (~(mult(mult(mult(b, a), mult(a, mult(a, c))), b) = mult(mult(b, a), mult(mult(a, mult(a, c)), b)))))) | (~((~(mult(mult(mult(b, a), b), mult(a, mult(a, c))) = mult(mult(b, a), mult(mult(a, mult(a, c)), b)))) | (~(mult(mult(mult(b, a), mult(a, mult(a, c))), b) = mult(mult(b, a), mult(b, mult(a, mult(a, c))))))))))),
% 5.68/5.87 inference(monotonicity,[status(thm)],[11437])).
% 5.68/5.87 tff(11439,plain,
% 5.68/5.87 (((~![X0: $i, X1: $i, X2: $i] : ((~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X2, X1)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X1, X2)))))) | (~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X1, X2)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X2, X1)))))))) | ((~((~(mult(mult(mult(b, a), b), mult(a, mult(a, c))) = mult(mult(b, a), mult(mult(a, mult(a, c)), b)))) | (~(mult(mult(mult(b, a), mult(a, mult(a, c))), b) = mult(mult(b, a), mult(b, mult(a, mult(a, c)))))))) | (~((~(mult(mult(mult(b, a), b), mult(a, mult(a, c))) = mult(mult(b, a), mult(b, mult(a, mult(a, c)))))) | (~(mult(mult(mult(b, a), mult(a, mult(a, c))), b) = mult(mult(b, a), mult(mult(a, mult(a, c)), b)))))))) <=> ((~![X0: $i, X1: $i, X2: $i] : ((~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X2, X1)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X1, X2)))))) | (~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X1, X2)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X2, X1)))))))) | (~((~(mult(mult(mult(b, a), b), mult(a, mult(a, c))) = mult(mult(b, a), mult(b, mult(a, mult(a, c)))))) | (~(mult(mult(mult(b, a), mult(a, mult(a, c))), b) = mult(mult(b, a), mult(mult(a, mult(a, c)), b)))))) | (~((~(mult(mult(mult(b, a), b), mult(a, mult(a, c))) = mult(mult(b, a), mult(mult(a, mult(a, c)), b)))) | (~(mult(mult(mult(b, a), mult(a, mult(a, c))), b) = mult(mult(b, a), mult(b, mult(a, mult(a, c)))))))))),
% 5.68/5.87 inference(transitivity,[status(thm)],[11438, 11436])).
% 5.68/5.87 tff(11440,plain,
% 5.68/5.87 ((~![X0: $i, X1: $i, X2: $i] : ((~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X2, X1)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X1, X2)))))) | (~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X1, X2)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X2, X1)))))))) | ((~((~(mult(mult(mult(b, a), b), mult(a, mult(a, c))) = mult(mult(b, a), mult(mult(a, mult(a, c)), b)))) | (~(mult(mult(mult(b, a), mult(a, mult(a, c))), b) = mult(mult(b, a), mult(b, mult(a, mult(a, c)))))))) | (~((~(mult(mult(mult(b, a), b), mult(a, mult(a, c))) = mult(mult(b, a), mult(b, mult(a, mult(a, c)))))) | (~(mult(mult(mult(b, a), mult(a, mult(a, c))), b) = mult(mult(b, a), mult(mult(a, mult(a, c)), b)))))))),
% 5.68/5.87 inference(quant_inst,[status(thm)],[])).
% 5.68/5.87 tff(11441,plain,
% 5.68/5.87 ((~![X0: $i, X1: $i, X2: $i] : ((~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X2, X1)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X1, X2)))))) | (~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X1, X2)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X2, X1)))))))) | (~((~(mult(mult(mult(b, a), b), mult(a, mult(a, c))) = mult(mult(b, a), mult(b, mult(a, mult(a, c)))))) | (~(mult(mult(mult(b, a), mult(a, mult(a, c))), b) = mult(mult(b, a), mult(mult(a, mult(a, c)), b)))))) | (~((~(mult(mult(mult(b, a), b), mult(a, mult(a, c))) = mult(mult(b, a), mult(mult(a, mult(a, c)), b)))) | (~(mult(mult(mult(b, a), mult(a, mult(a, c))), b) = mult(mult(b, a), mult(b, mult(a, mult(a, c))))))))),
% 5.68/5.87 inference(modus_ponens,[status(thm)],[11440, 11439])).
% 5.68/5.87 tff(11442,plain,
% 5.68/5.87 ((~((~(mult(mult(mult(b, a), b), mult(a, mult(a, c))) = mult(mult(b, a), mult(b, mult(a, mult(a, c)))))) | (~(mult(mult(mult(b, a), mult(a, mult(a, c))), b) = mult(mult(b, a), mult(mult(a, mult(a, c)), b)))))) | (~((~(mult(mult(mult(b, a), b), mult(a, mult(a, c))) = mult(mult(b, a), mult(mult(a, mult(a, c)), b)))) | (~(mult(mult(mult(b, a), mult(a, mult(a, c))), b) = mult(mult(b, a), mult(b, mult(a, mult(a, c))))))))),
% 5.68/5.87 inference(unit_resolution,[status(thm)],[11441, 30])).
% 5.68/5.87 tff(11443,plain,
% 5.68/5.87 (~((~(mult(mult(mult(b, a), b), mult(a, mult(a, c))) = mult(mult(b, a), mult(mult(a, mult(a, c)), b)))) | (~(mult(mult(mult(b, a), mult(a, mult(a, c))), b) = mult(mult(b, a), mult(b, mult(a, mult(a, c)))))))),
% 5.68/5.87 inference(unit_resolution,[status(thm)],[11442, 11435])).
% 5.68/5.87 tff(11444,plain,
% 5.68/5.87 (((~(mult(mult(mult(b, a), b), mult(a, mult(a, c))) = mult(mult(b, a), mult(mult(a, mult(a, c)), b)))) | (~(mult(mult(mult(b, a), mult(a, mult(a, c))), b) = mult(mult(b, a), mult(b, mult(a, mult(a, c))))))) | (mult(mult(mult(b, a), mult(a, mult(a, c))), b) = mult(mult(b, a), mult(b, mult(a, mult(a, c)))))),
% 5.68/5.87 inference(tautology,[status(thm)],[])).
% 5.68/5.87 tff(11445,plain,
% 5.68/5.87 (mult(mult(mult(b, a), mult(a, mult(a, c))), b) = mult(mult(b, a), mult(b, mult(a, mult(a, c))))),
% 5.68/5.87 inference(unit_resolution,[status(thm)],[11444, 11443])).
% 5.68/5.87 tff(11446,plain,
% 5.68/5.87 (mult(mult(b, a), mult(a, mult(mult(c, a), b))) = mult(mult(b, a), mult(b, mult(a, mult(a, c))))),
% 5.68/5.87 inference(transitivity,[status(thm)],[11134, 11412, 11411, 11410, 11445])).
% 5.68/5.87 tff(11447,plain,
% 5.68/5.87 (ld(mult(b, a), mult(mult(b, a), mult(a, mult(mult(c, a), b)))) = ld(mult(b, a), mult(mult(b, a), mult(b, mult(a, mult(a, c)))))),
% 5.68/5.87 inference(monotonicity,[status(thm)],[11446])).
% 5.68/5.87 tff(11448,plain,
% 5.68/5.87 (mult(a, mult(mult(c, a), b)) = ld(mult(b, a), mult(mult(b, a), mult(a, mult(mult(c, a), b))))),
% 5.68/5.87 inference(symmetry,[status(thm)],[11133])).
% 5.68/5.87 tff(11449,plain,
% 5.68/5.87 (mult(a, mult(mult(c, a), b)) = mult(b, mult(a, mult(a, c)))),
% 5.68/5.87 inference(transitivity,[status(thm)],[11448, 11447, 11433])).
% 5.68/5.87 tff(11450,plain,
% 5.68/5.87 (mult(a, mult(a, mult(mult(c, a), b))) = mult(a, mult(b, mult(a, mult(a, c))))),
% 5.68/5.87 inference(monotonicity,[status(thm)],[11449])).
% 5.68/5.87 tff(11451,plain,
% 5.68/5.87 (mult(a, mult(b, mult(a, mult(a, c)))) = mult(a, mult(a, mult(mult(c, a), b)))),
% 5.68/5.87 inference(symmetry,[status(thm)],[11450])).
% 5.68/5.87 tff(11452,plain,
% 5.68/5.87 (mult(b, mult(a, mult(b, mult(a, mult(a, c))))) = mult(b, mult(a, mult(a, mult(mult(c, a), b))))),
% 5.68/5.87 inference(monotonicity,[status(thm)],[11451])).
% 5.68/5.87 tff(11453,plain,
% 5.68/5.87 (mult(b, mult(mult(a, b), mult(a, mult(a, c)))) = mult(b, mult(a, mult(b, mult(a, mult(a, c)))))),
% 5.68/5.87 inference(monotonicity,[status(thm)],[10565])).
% 5.68/5.87 tff(11454,plain,
% 5.68/5.87 (mult(b, mult(mult(a, b), mult(a, mult(a, c)))) = mult(mult(mult(b, a), mult(a, mult(a, c))), b)),
% 5.68/5.87 inference(transitivity,[status(thm)],[11453, 11452, 11431, 11134, 11412, 11411, 11410])).
% 5.68/5.87 tff(11455,plain,
% 5.68/5.87 (((~(mult(mult(mult(b, a), b), mult(a, mult(a, c))) = mult(mult(b, a), mult(mult(a, mult(a, c)), b)))) | (~(mult(mult(mult(b, a), mult(a, mult(a, c))), b) = mult(mult(b, a), mult(b, mult(a, mult(a, c))))))) | (mult(mult(mult(b, a), b), mult(a, mult(a, c))) = mult(mult(b, a), mult(mult(a, mult(a, c)), b)))),
% 5.68/5.87 inference(tautology,[status(thm)],[])).
% 5.68/5.87 tff(11456,plain,
% 5.68/5.87 (mult(mult(mult(b, a), b), mult(a, mult(a, c))) = mult(mult(b, a), mult(mult(a, mult(a, c)), b))),
% 5.68/5.87 inference(unit_resolution,[status(thm)],[11455, 11443])).
% 5.68/5.87 tff(11457,plain,
% 5.68/5.87 ((~![B: $i, A: $i] : (rd(mult(A, B), B) = A)) | (rd(mult(mult(mult(b, a), b), a), a) = mult(mult(b, a), b))),
% 5.68/5.87 inference(quant_inst,[status(thm)],[])).
% 5.68/5.87 tff(11458,plain,
% 5.68/5.87 (rd(mult(mult(mult(b, a), b), a), a) = mult(mult(b, a), b)),
% 5.68/5.87 inference(unit_resolution,[status(thm)],[11457, 72])).
% 5.68/5.87 tff(11459,plain,
% 5.68/5.87 (mult(mult(b, mult(a, b)), a) = mult(mult(mult(b, a), b), a)),
% 5.68/5.87 inference(transitivity,[status(thm)],[11026, 10366])).
% 5.68/5.87 tff(11460,plain,
% 5.68/5.87 (rd(mult(mult(b, mult(a, b)), a), a) = rd(mult(mult(mult(b, a), b), a), a)),
% 5.68/5.87 inference(monotonicity,[status(thm)],[11459])).
% 5.68/5.87 tff(11461,plain,
% 5.68/5.87 ((~![B: $i, A: $i] : (rd(mult(A, B), B) = A)) | (rd(mult(mult(b, mult(a, b)), a), a) = mult(b, mult(a, b)))),
% 5.68/5.87 inference(quant_inst,[status(thm)],[])).
% 5.68/5.87 tff(11462,plain,
% 5.68/5.87 (rd(mult(mult(b, mult(a, b)), a), a) = mult(b, mult(a, b))),
% 5.68/5.87 inference(unit_resolution,[status(thm)],[11461, 72])).
% 5.68/5.87 tff(11463,plain,
% 5.68/5.87 (mult(b, mult(a, b)) = rd(mult(mult(b, mult(a, b)), a), a)),
% 5.68/5.87 inference(symmetry,[status(thm)],[11462])).
% 5.68/5.87 tff(11464,plain,
% 5.68/5.87 (mult(b, mult(a, b)) = mult(mult(b, a), b)),
% 5.68/5.87 inference(transitivity,[status(thm)],[11463, 11460, 11458])).
% 5.68/5.88 tff(11465,plain,
% 5.68/5.88 (mult(mult(b, mult(a, b)), mult(a, mult(a, c))) = mult(mult(mult(b, a), b), mult(a, mult(a, c)))),
% 5.68/5.88 inference(monotonicity,[status(thm)],[11464])).
% 5.68/5.88 tff(11466,plain,
% 5.68/5.88 (mult(mult(b, mult(a, b)), mult(a, mult(a, c))) = mult(mult(b, a), mult(mult(a, mult(a, c)), b))),
% 5.68/5.88 inference(transitivity,[status(thm)],[11465, 11456])).
% 5.68/5.88 tff(11467,plain,
% 5.68/5.88 ((mult(mult(b, mult(a, b)), mult(a, mult(a, c))) = mult(b, mult(mult(a, b), mult(a, mult(a, c))))) <=> (mult(mult(b, a), mult(mult(a, mult(a, c)), b)) = mult(mult(mult(b, a), mult(a, mult(a, c))), b))),
% 5.68/5.88 inference(monotonicity,[status(thm)],[11466, 11454])).
% 5.68/5.88 tff(11468,plain,
% 5.68/5.88 ((mult(mult(b, mult(a, b)), mult(a, mult(a, c))) = mult(b, mult(mult(a, b), mult(a, mult(a, c))))) <=> (mult(mult(mult(b, a), mult(a, mult(a, c))), b) = mult(mult(b, a), mult(mult(a, mult(a, c)), b)))),
% 5.68/5.88 inference(transitivity,[status(thm)],[11467, 11409])).
% 5.68/5.88 tff(11469,plain,
% 5.68/5.88 ((mult(mult(mult(b, a), mult(a, mult(a, c))), b) = mult(mult(b, a), mult(mult(a, mult(a, c)), b))) <=> (mult(mult(b, mult(a, b)), mult(a, mult(a, c))) = mult(b, mult(mult(a, b), mult(a, mult(a, c)))))),
% 5.68/5.88 inference(symmetry,[status(thm)],[11468])).
% 5.68/5.88 tff(11470,plain,
% 5.68/5.88 ((~(mult(mult(mult(b, a), mult(a, mult(a, c))), b) = mult(mult(b, a), mult(mult(a, mult(a, c)), b)))) <=> (~(mult(mult(b, mult(a, b)), mult(a, mult(a, c))) = mult(b, mult(mult(a, b), mult(a, mult(a, c))))))),
% 5.68/5.88 inference(monotonicity,[status(thm)],[11469])).
% 5.68/5.88 tff(11471,plain,
% 5.68/5.88 (~(mult(mult(b, mult(a, b)), mult(a, mult(a, c))) = mult(b, mult(mult(a, b), mult(a, mult(a, c)))))),
% 5.68/5.88 inference(modus_ponens,[status(thm)],[11393, 11470])).
% 5.68/5.88 tff(11472,plain,
% 5.68/5.88 (((~(mult(mult(b, mult(a, mult(a, c))), mult(a, b)) = mult(b, mult(mult(a, mult(a, c)), mult(a, b))))) | (~(mult(mult(b, mult(a, b)), mult(a, mult(a, c))) = mult(b, mult(mult(a, b), mult(a, mult(a, c))))))) | (mult(mult(b, mult(a, b)), mult(a, mult(a, c))) = mult(b, mult(mult(a, b), mult(a, mult(a, c)))))),
% 5.68/5.88 inference(tautology,[status(thm)],[])).
% 5.68/5.88 tff(11473,plain,
% 5.68/5.88 ((~(mult(mult(b, mult(a, mult(a, c))), mult(a, b)) = mult(b, mult(mult(a, mult(a, c)), mult(a, b))))) | (~(mult(mult(b, mult(a, b)), mult(a, mult(a, c))) = mult(b, mult(mult(a, b), mult(a, mult(a, c))))))),
% 5.68/5.88 inference(unit_resolution,[status(thm)],[11472, 11471])).
% 5.68/5.88 tff(11474,plain,
% 5.68/5.88 (((~![X0: $i, X1: $i, X2: $i] : ((~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X2, X1)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X1, X2)))))) | (~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X1, X2)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X2, X1)))))))) | ((~((~(mult(mult(b, mult(a, b)), mult(a, mult(a, c))) = mult(b, mult(mult(a, mult(a, c)), mult(a, b))))) | (~(mult(mult(b, mult(a, mult(a, c))), mult(a, b)) = mult(b, mult(mult(a, b), mult(a, mult(a, c)))))))) | (~((~(mult(mult(b, mult(a, mult(a, c))), mult(a, b)) = mult(b, mult(mult(a, mult(a, c)), mult(a, b))))) | (~(mult(mult(b, mult(a, b)), mult(a, mult(a, c))) = mult(b, mult(mult(a, b), mult(a, mult(a, c)))))))))) <=> ((~![X0: $i, X1: $i, X2: $i] : ((~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X2, X1)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X1, X2)))))) | (~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X1, X2)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X2, X1)))))))) | (~((~(mult(mult(b, mult(a, b)), mult(a, mult(a, c))) = mult(b, mult(mult(a, mult(a, c)), mult(a, b))))) | (~(mult(mult(b, mult(a, mult(a, c))), mult(a, b)) = mult(b, mult(mult(a, b), mult(a, mult(a, c)))))))) | (~((~(mult(mult(b, mult(a, mult(a, c))), mult(a, b)) = mult(b, mult(mult(a, mult(a, c)), mult(a, b))))) | (~(mult(mult(b, mult(a, b)), mult(a, mult(a, c))) = mult(b, mult(mult(a, b), mult(a, mult(a, c)))))))))),
% 5.68/5.88 inference(rewrite,[status(thm)],[])).
% 5.68/5.88 tff(11475,plain,
% 5.68/5.88 (((~((~(mult(mult(b, mult(a, mult(a, c))), mult(a, b)) = mult(b, mult(mult(a, b), mult(a, mult(a, c)))))) | (~(mult(mult(b, mult(a, b)), mult(a, mult(a, c))) = mult(b, mult(mult(a, mult(a, c)), mult(a, b))))))) | (~((~(mult(mult(b, mult(a, mult(a, c))), mult(a, b)) = mult(b, mult(mult(a, mult(a, c)), mult(a, b))))) | (~(mult(mult(b, mult(a, b)), mult(a, mult(a, c))) = mult(b, mult(mult(a, b), mult(a, mult(a, c))))))))) <=> ((~((~(mult(mult(b, mult(a, b)), mult(a, mult(a, c))) = mult(b, mult(mult(a, mult(a, c)), mult(a, b))))) | (~(mult(mult(b, mult(a, mult(a, c))), mult(a, b)) = mult(b, mult(mult(a, b), mult(a, mult(a, c)))))))) | (~((~(mult(mult(b, mult(a, mult(a, c))), mult(a, b)) = mult(b, mult(mult(a, mult(a, c)), mult(a, b))))) | (~(mult(mult(b, mult(a, b)), mult(a, mult(a, c))) = mult(b, mult(mult(a, b), mult(a, mult(a, c)))))))))),
% 5.68/5.88 inference(rewrite,[status(thm)],[])).
% 5.68/5.88 tff(11476,plain,
% 5.68/5.88 (((~![X0: $i, X1: $i, X2: $i] : ((~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X2, X1)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X1, X2)))))) | (~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X1, X2)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X2, X1)))))))) | ((~((~(mult(mult(b, mult(a, mult(a, c))), mult(a, b)) = mult(b, mult(mult(a, b), mult(a, mult(a, c)))))) | (~(mult(mult(b, mult(a, b)), mult(a, mult(a, c))) = mult(b, mult(mult(a, mult(a, c)), mult(a, b))))))) | (~((~(mult(mult(b, mult(a, mult(a, c))), mult(a, b)) = mult(b, mult(mult(a, mult(a, c)), mult(a, b))))) | (~(mult(mult(b, mult(a, b)), mult(a, mult(a, c))) = mult(b, mult(mult(a, b), mult(a, mult(a, c)))))))))) <=> ((~![X0: $i, X1: $i, X2: $i] : ((~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X2, X1)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X1, X2)))))) | (~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X1, X2)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X2, X1)))))))) | ((~((~(mult(mult(b, mult(a, b)), mult(a, mult(a, c))) = mult(b, mult(mult(a, mult(a, c)), mult(a, b))))) | (~(mult(mult(b, mult(a, mult(a, c))), mult(a, b)) = mult(b, mult(mult(a, b), mult(a, mult(a, c)))))))) | (~((~(mult(mult(b, mult(a, mult(a, c))), mult(a, b)) = mult(b, mult(mult(a, mult(a, c)), mult(a, b))))) | (~(mult(mult(b, mult(a, b)), mult(a, mult(a, c))) = mult(b, mult(mult(a, b), mult(a, mult(a, c))))))))))),
% 5.68/5.88 inference(monotonicity,[status(thm)],[11475])).
% 5.68/5.88 tff(11477,plain,
% 5.68/5.88 (((~![X0: $i, X1: $i, X2: $i] : ((~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X2, X1)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X1, X2)))))) | (~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X1, X2)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X2, X1)))))))) | ((~((~(mult(mult(b, mult(a, mult(a, c))), mult(a, b)) = mult(b, mult(mult(a, b), mult(a, mult(a, c)))))) | (~(mult(mult(b, mult(a, b)), mult(a, mult(a, c))) = mult(b, mult(mult(a, mult(a, c)), mult(a, b))))))) | (~((~(mult(mult(b, mult(a, mult(a, c))), mult(a, b)) = mult(b, mult(mult(a, mult(a, c)), mult(a, b))))) | (~(mult(mult(b, mult(a, b)), mult(a, mult(a, c))) = mult(b, mult(mult(a, b), mult(a, mult(a, c)))))))))) <=> ((~![X0: $i, X1: $i, X2: $i] : ((~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X2, X1)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X1, X2)))))) | (~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X1, X2)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X2, X1)))))))) | (~((~(mult(mult(b, mult(a, b)), mult(a, mult(a, c))) = mult(b, mult(mult(a, mult(a, c)), mult(a, b))))) | (~(mult(mult(b, mult(a, mult(a, c))), mult(a, b)) = mult(b, mult(mult(a, b), mult(a, mult(a, c)))))))) | (~((~(mult(mult(b, mult(a, mult(a, c))), mult(a, b)) = mult(b, mult(mult(a, mult(a, c)), mult(a, b))))) | (~(mult(mult(b, mult(a, b)), mult(a, mult(a, c))) = mult(b, mult(mult(a, b), mult(a, mult(a, c)))))))))),
% 5.68/5.88 inference(transitivity,[status(thm)],[11476, 11474])).
% 5.68/5.88 tff(11478,plain,
% 5.68/5.88 ((~![X0: $i, X1: $i, X2: $i] : ((~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X2, X1)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X1, X2)))))) | (~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X1, X2)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X2, X1)))))))) | ((~((~(mult(mult(b, mult(a, mult(a, c))), mult(a, b)) = mult(b, mult(mult(a, b), mult(a, mult(a, c)))))) | (~(mult(mult(b, mult(a, b)), mult(a, mult(a, c))) = mult(b, mult(mult(a, mult(a, c)), mult(a, b))))))) | (~((~(mult(mult(b, mult(a, mult(a, c))), mult(a, b)) = mult(b, mult(mult(a, mult(a, c)), mult(a, b))))) | (~(mult(mult(b, mult(a, b)), mult(a, mult(a, c))) = mult(b, mult(mult(a, b), mult(a, mult(a, c)))))))))),
% 5.68/5.88 inference(quant_inst,[status(thm)],[])).
% 5.68/5.88 tff(11479,plain,
% 5.68/5.88 ((~![X0: $i, X1: $i, X2: $i] : ((~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X2, X1)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X1, X2)))))) | (~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X1, X2)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X2, X1)))))))) | (~((~(mult(mult(b, mult(a, b)), mult(a, mult(a, c))) = mult(b, mult(mult(a, mult(a, c)), mult(a, b))))) | (~(mult(mult(b, mult(a, mult(a, c))), mult(a, b)) = mult(b, mult(mult(a, b), mult(a, mult(a, c)))))))) | (~((~(mult(mult(b, mult(a, mult(a, c))), mult(a, b)) = mult(b, mult(mult(a, mult(a, c)), mult(a, b))))) | (~(mult(mult(b, mult(a, b)), mult(a, mult(a, c))) = mult(b, mult(mult(a, b), mult(a, mult(a, c))))))))),
% 5.68/5.88 inference(modus_ponens,[status(thm)],[11478, 11477])).
% 5.68/5.88 tff(11480,plain,
% 5.68/5.88 ((~((~(mult(mult(b, mult(a, b)), mult(a, mult(a, c))) = mult(b, mult(mult(a, mult(a, c)), mult(a, b))))) | (~(mult(mult(b, mult(a, mult(a, c))), mult(a, b)) = mult(b, mult(mult(a, b), mult(a, mult(a, c)))))))) | (~((~(mult(mult(b, mult(a, mult(a, c))), mult(a, b)) = mult(b, mult(mult(a, mult(a, c)), mult(a, b))))) | (~(mult(mult(b, mult(a, b)), mult(a, mult(a, c))) = mult(b, mult(mult(a, b), mult(a, mult(a, c))))))))),
% 5.68/5.88 inference(unit_resolution,[status(thm)],[11479, 30])).
% 5.68/5.88 tff(11481,plain,
% 5.68/5.88 (~((~(mult(mult(b, mult(a, b)), mult(a, mult(a, c))) = mult(b, mult(mult(a, mult(a, c)), mult(a, b))))) | (~(mult(mult(b, mult(a, mult(a, c))), mult(a, b)) = mult(b, mult(mult(a, b), mult(a, mult(a, c)))))))),
% 5.68/5.88 inference(unit_resolution,[status(thm)],[11480, 11473])).
% 5.68/5.88 tff(11482,plain,
% 5.68/5.88 (((~(mult(mult(b, mult(a, b)), mult(a, mult(a, c))) = mult(b, mult(mult(a, mult(a, c)), mult(a, b))))) | (~(mult(mult(b, mult(a, mult(a, c))), mult(a, b)) = mult(b, mult(mult(a, b), mult(a, mult(a, c))))))) | (mult(mult(b, mult(a, mult(a, c))), mult(a, b)) = mult(b, mult(mult(a, b), mult(a, mult(a, c)))))),
% 5.68/5.88 inference(tautology,[status(thm)],[])).
% 5.68/5.88 tff(11483,plain,
% 5.68/5.88 (mult(mult(b, mult(a, mult(a, c))), mult(a, b)) = mult(b, mult(mult(a, b), mult(a, mult(a, c))))),
% 5.68/5.88 inference(unit_resolution,[status(thm)],[11482, 11481])).
% 5.68/5.88 tff(11484,plain,
% 5.68/5.88 (mult(b, mult(mult(a, b), mult(a, mult(a, c)))) = mult(mult(b, mult(a, mult(a, c))), mult(a, b))),
% 5.68/5.88 inference(symmetry,[status(thm)],[11483])).
% 5.68/5.88 tff(11485,plain,
% 5.68/5.88 (mult(b, mult(a, mult(b, mult(a, mult(a, c))))) = mult(b, mult(mult(a, b), mult(a, mult(a, c))))),
% 5.68/5.88 inference(symmetry,[status(thm)],[11453])).
% 5.68/5.88 tff(11486,plain,
% 5.68/5.88 (mult(b, mult(a, mult(a, mult(mult(c, a), b)))) = mult(b, mult(a, mult(b, mult(a, mult(a, c)))))),
% 5.68/5.88 inference(symmetry,[status(thm)],[11452])).
% 5.68/5.88 tff(11487,plain,
% 5.68/5.88 (mult(mult(mult(mult(a, b), c), a), mult(a, b)) = mult(mult(b, mult(a, mult(a, c))), mult(a, b))),
% 5.68/5.88 inference(transitivity,[status(thm)],[6692, 7204, 7203, 7200, 7196, 11366, 11135, 11430, 11486, 11485, 11484])).
% 5.68/5.88 tff(11488,plain,
% 5.68/5.88 (rd(mult(mult(mult(mult(a, b), c), a), mult(a, b)), mult(a, b)) = rd(mult(mult(b, mult(a, mult(a, c))), mult(a, b)), mult(a, b))),
% 5.68/5.88 inference(monotonicity,[status(thm)],[11487])).
% 5.68/5.88 tff(11489,plain,
% 5.68/5.88 ((~![B: $i, A: $i] : (rd(mult(A, B), B) = A)) | (rd(mult(mult(mult(mult(a, b), c), a), mult(a, b)), mult(a, b)) = mult(mult(mult(a, b), c), a))),
% 5.68/5.88 inference(quant_inst,[status(thm)],[])).
% 5.68/5.88 tff(11490,plain,
% 5.68/5.88 (rd(mult(mult(mult(mult(a, b), c), a), mult(a, b)), mult(a, b)) = mult(mult(mult(a, b), c), a)),
% 5.68/5.88 inference(unit_resolution,[status(thm)],[11489, 72])).
% 5.68/5.88 tff(11491,plain,
% 5.68/5.88 (mult(mult(mult(a, b), c), a) = rd(mult(mult(mult(mult(a, b), c), a), mult(a, b)), mult(a, b))),
% 5.68/5.88 inference(symmetry,[status(thm)],[11490])).
% 5.68/5.88 tff(11492,plain,
% 5.68/5.88 (mult(mult(mult(a, b), c), a) = mult(b, mult(a, mult(a, c)))),
% 5.68/5.88 inference(transitivity,[status(thm)],[11491, 11488, 11408])).
% 5.68/5.88 tff(11493,plain,
% 5.68/5.88 (mult(mult(mult(mult(a, b), c), a), a) = mult(mult(b, mult(a, mult(a, c))), a)),
% 5.68/5.88 inference(monotonicity,[status(thm)],[11492])).
% 5.68/5.88 tff(11494,plain,
% 5.68/5.88 (mult(mult(b, mult(a, mult(a, c))), a) = mult(mult(mult(mult(a, b), c), a), a)),
% 5.68/5.88 inference(symmetry,[status(thm)],[11493])).
% 5.68/5.88 tff(11495,plain,
% 5.68/5.88 (ld(mult(b, a), mult(mult(b, a), mult(b, mult(a, mult(a, c))))) = ld(mult(b, a), mult(mult(b, a), mult(a, mult(mult(c, a), b))))),
% 5.68/5.88 inference(symmetry,[status(thm)],[11447])).
% 5.68/5.88 tff(11496,plain,
% 5.68/5.88 (mult(b, mult(a, mult(a, c))) = ld(mult(b, a), mult(mult(b, a), mult(b, mult(a, mult(a, c)))))),
% 5.68/5.88 inference(symmetry,[status(thm)],[11433])).
% 5.68/5.88 tff(11497,plain,
% 5.68/5.88 (mult(b, mult(a, mult(a, c))) = mult(a, mult(mult(c, a), b))),
% 5.68/5.88 inference(transitivity,[status(thm)],[11496, 11495, 11133])).
% 5.68/5.88 tff(11498,plain,
% 5.68/5.88 (mult(mult(b, mult(a, mult(a, c))), a) = mult(mult(a, mult(mult(c, a), b)), a)),
% 5.68/5.88 inference(monotonicity,[status(thm)],[11497])).
% 5.68/5.88 tff(11499,plain,
% 5.68/5.88 (mult(mult(a, mult(mult(c, a), b)), a) = mult(mult(b, mult(a, mult(a, c))), a)),
% 5.68/5.88 inference(symmetry,[status(thm)],[11498])).
% 5.68/5.88 tff(11500,plain,
% 5.68/5.88 (mult(mult(a, c), mult(a, mult(b, a))) = mult(mult(mult(a, c), mult(b, a)), a)),
% 5.68/5.88 inference(symmetry,[status(thm)],[11029])).
% 5.68/5.88 tff(11501,plain,
% 5.68/5.88 (mult(mult(mult(a, c), a), mult(a, b)) = mult(a, mult(b, mult(a, mult(a, c))))),
% 5.68/5.88 inference(transitivity,[status(thm)],[10864, 10732, 11500, 11034, 11499, 11494, 11406, 10561, 10659])).
% 5.68/5.88 tff(11502,plain,
% 5.68/5.88 (mult(b, mult(mult(mult(a, c), a), mult(a, b))) = mult(b, mult(a, mult(b, mult(a, mult(a, c)))))),
% 5.68/5.88 inference(monotonicity,[status(thm)],[11501])).
% 5.68/5.88 tff(11503,plain,
% 5.68/5.88 (mult(b, mult(a, mult(b, mult(a, mult(a, c))))) = mult(b, mult(mult(mult(a, c), a), mult(a, b)))),
% 5.68/5.88 inference(symmetry,[status(thm)],[11502])).
% 5.68/5.88 tff(11504,plain,
% 5.68/5.88 (mult(mult(mult(b, mult(c, a)), a), mult(b, a)) = mult(mult(b, mult(c, a)), mult(a, mult(b, a)))),
% 5.68/5.88 inference(transitivity,[status(thm)],[3534, 11366, 11135, 11430, 11486, 11503, 11402, 11399, 11398, 11315, 11397, 11396, 4196])).
% 5.68/5.88 tff(11505,plain,
% 5.68/5.88 ($false),
% 5.68/5.88 inference(unit_resolution,[status(thm)],[10726, 11504])).
% 5.68/5.88 tff(11506,plain,((~(mult(mult(mult(b, a), mult(mult(c, a), b)), a) = mult(mult(b, a), mult(mult(mult(c, a), b), a)))) | (mult(mult(mult(b, mult(c, a)), a), mult(b, a)) = mult(mult(b, mult(c, a)), mult(a, mult(b, a)))) | (~(mult(mult(mult(b, a), c), mult(mult(a, b), a)) = mult(mult(b, a), mult(c, mult(mult(a, b), a))))) | (~(mult(mult(mult(b, a), mult(a, c)), mult(b, a)) = mult(mult(b, a), mult(mult(a, c), mult(b, a))))) | (~(mult(mult(a, c), mult(b, a)) = mult(a, mult(c, mult(b, a))))) | (~(mult(mult(c, a), b) = mult(c, mult(b, a)))) | (~(mult(mult(mult(mult(b, a), mult(a, c)), a), b) = mult(mult(mult(b, a), mult(a, c)), mult(b, a)))) | (~(mult(mult(b, a), mult(a, mult(a, c))) = mult(b, mult(mult(a, mult(a, c)), a)))) | (~(mult(mult(mult(a, c), a), mult(a, b)) = mult(mult(a, c), mult(mult(a, b), a)))) | (~(mult(mult(a, mult(mult(b, c), a)), a) = mult(a, mult(mult(mult(b, c), a), a)))) | (~(mult(mult(mult(mult(mult(a, b), c), a), b), a) = mult(mult(mult(mult(a, b), c), a), mult(a, b)))) | (~(mult(mult(a, b), mult(a, mult(a, c))) = mult(a, mult(b, mult(a, mult(a, c)))))) | (~(mult(mult(mult(mult(mult(a, c), mult(b, a)), mult(a, c)), b), a) = mult(mult(mult(mult(a, c), mult(b, a)), mult(a, c)), mult(b, a)))) | (~(mult(mult(mult(a, c), a), b) = mult(mult(a, c), mult(b, a)))) | (~(mult(mult(mult(a, b), c), a) = mult(mult(a, b), mult(a, c)))) | (mult(mult(mult(b, a), mult(a, mult(a, c))), b) = mult(mult(b, a), mult(mult(a, mult(a, c)), b))) | (~(mult(mult(b, mult(a, b)), a) = mult(b, mult(mult(a, b), a))))), inference(lemma,lemma(discharge,[]))).
% 5.68/5.88 tff(11507,plain,
% 5.68/5.88 (~(mult(mult(mult(b, a), mult(mult(c, a), b)), a) = mult(mult(b, a), mult(mult(mult(c, a), b), a)))),
% 5.68/5.88 inference(unit_resolution,[status(thm)],[11506, 11394, 10726, 11152, 368, 342, 10947, 11367, 10864, 10561, 6691, 10565, 6785, 1362, 168, 11393, 11026])).
% 5.68/5.88 tff(11508,plain,
% 5.68/5.88 ((~(mult(mult(mult(b, a), a), mult(mult(c, a), b)) = mult(mult(b, a), mult(a, mult(mult(c, a), b))))) | (~(mult(mult(mult(b, a), mult(mult(c, a), b)), a) = mult(mult(b, a), mult(mult(mult(c, a), b), a))))),
% 5.68/5.88 inference(unit_resolution,[status(thm)],[11220, 11507])).
% 5.68/5.89 tff(11509,plain,
% 5.68/5.89 (~((~(mult(mult(mult(b, a), a), mult(mult(c, a), b)) = mult(mult(b, a), mult(mult(mult(c, a), b), a)))) | (~(mult(mult(mult(b, a), mult(mult(c, a), b)), a) = mult(mult(b, a), mult(a, mult(mult(c, a), b))))))),
% 5.68/5.89 inference(unit_resolution,[status(thm)],[11218, 11508])).
% 5.68/5.89 tff(11510,plain,
% 5.68/5.89 (mult(mult(mult(b, a), mult(mult(c, a), b)), a) = mult(mult(b, a), mult(a, mult(mult(c, a), b)))),
% 5.68/5.89 inference(unit_resolution,[status(thm)],[11210, 11509])).
% 5.68/5.89 tff(11511,plain,
% 5.68/5.89 (mult(mult(mult(a, c), a), mult(a, b)) = mult(mult(a, mult(mult(c, a), b)), a)),
% 5.68/5.89 inference(transitivity,[status(thm)],[10864, 10732, 11500, 11034])).
% 5.68/5.89 tff(11512,plain,
% 5.68/5.89 (mult(b, mult(mult(mult(a, c), a), mult(a, b))) = mult(b, mult(mult(a, mult(mult(c, a), b)), a))),
% 5.68/5.89 inference(monotonicity,[status(thm)],[11511])).
% 5.68/5.89 tff(11513,plain,
% 5.68/5.89 (mult(b, mult(mult(mult(a, c), a), mult(a, b))) = mult(mult(mult(b, mult(c, a)), a), mult(b, a))),
% 5.68/5.89 inference(transitivity,[status(thm)],[11512, 11399, 11510, 11134, 11166, 3535])).
% 5.68/5.89 tff(11514,plain,
% 5.68/5.89 (mult(mult(b, mult(mult(a, c), a)), mult(a, b)) = mult(mult(b, mult(c, a)), mult(a, mult(b, a)))),
% 5.68/5.89 inference(transitivity,[status(thm)],[11392, 11390, 11389, 4198, 4196])).
% 5.68/5.89 tff(11515,plain,
% 5.68/5.89 ((mult(mult(b, mult(mult(a, c), a)), mult(a, b)) = mult(b, mult(mult(mult(a, c), a), mult(a, b)))) <=> (mult(mult(b, mult(c, a)), mult(a, mult(b, a))) = mult(mult(mult(b, mult(c, a)), a), mult(b, a)))),
% 5.68/5.89 inference(monotonicity,[status(thm)],[11514, 11513])).
% 5.68/5.89 tff(11516,plain,
% 5.68/5.89 ((mult(mult(b, mult(mult(a, c), a)), mult(a, b)) = mult(b, mult(mult(mult(a, c), a), mult(a, b)))) <=> (mult(mult(mult(b, mult(c, a)), a), mult(b, a)) = mult(mult(b, mult(c, a)), mult(a, mult(b, a))))),
% 5.68/5.89 inference(transitivity,[status(thm)],[11515, 2])).
% 5.68/5.89 tff(11517,plain,
% 5.68/5.89 ((mult(mult(mult(b, mult(c, a)), a), mult(b, a)) = mult(mult(b, mult(c, a)), mult(a, mult(b, a)))) <=> (mult(mult(b, mult(mult(a, c), a)), mult(a, b)) = mult(b, mult(mult(mult(a, c), a), mult(a, b))))),
% 5.68/5.89 inference(symmetry,[status(thm)],[11516])).
% 5.68/5.89 tff(11518,plain,
% 5.68/5.89 ((~(mult(mult(mult(b, mult(c, a)), a), mult(b, a)) = mult(mult(b, mult(c, a)), mult(a, mult(b, a))))) <=> (~(mult(mult(b, mult(mult(a, c), a)), mult(a, b)) = mult(b, mult(mult(mult(a, c), a), mult(a, b)))))),
% 5.68/5.89 inference(monotonicity,[status(thm)],[11517])).
% 5.68/5.89 tff(11519,plain,
% 5.68/5.89 (~(mult(mult(b, mult(mult(a, c), a)), mult(a, b)) = mult(b, mult(mult(mult(a, c), a), mult(a, b))))),
% 5.68/5.89 inference(modus_ponens,[status(thm)],[10726, 11518])).
% 5.68/5.89 tff(11520,plain,
% 5.68/5.89 (((~(mult(mult(b, mult(a, b)), mult(mult(a, c), a)) = mult(b, mult(mult(a, b), mult(mult(a, c), a))))) | (~(mult(mult(b, mult(mult(a, c), a)), mult(a, b)) = mult(b, mult(mult(mult(a, c), a), mult(a, b)))))) | (mult(mult(b, mult(mult(a, c), a)), mult(a, b)) = mult(b, mult(mult(mult(a, c), a), mult(a, b))))),
% 5.68/5.89 inference(tautology,[status(thm)],[])).
% 5.68/5.89 tff(11521,plain,
% 5.68/5.89 ((~(mult(mult(b, mult(a, b)), mult(mult(a, c), a)) = mult(b, mult(mult(a, b), mult(mult(a, c), a))))) | (~(mult(mult(b, mult(mult(a, c), a)), mult(a, b)) = mult(b, mult(mult(mult(a, c), a), mult(a, b)))))),
% 5.68/5.89 inference(unit_resolution,[status(thm)],[11520, 11519])).
% 5.68/5.89 tff(11522,plain,
% 5.68/5.89 (((~![X0: $i, X1: $i, X2: $i] : ((~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X2, X1)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X1, X2)))))) | (~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X1, X2)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X2, X1)))))))) | ((~((~(mult(mult(b, mult(a, b)), mult(mult(a, c), a)) = mult(b, mult(mult(a, b), mult(mult(a, c), a))))) | (~(mult(mult(b, mult(mult(a, c), a)), mult(a, b)) = mult(b, mult(mult(mult(a, c), a), mult(a, b))))))) | (~((~(mult(mult(b, mult(a, b)), mult(mult(a, c), a)) = mult(b, mult(mult(mult(a, c), a), mult(a, b))))) | (~(mult(mult(b, mult(mult(a, c), a)), mult(a, b)) = mult(b, mult(mult(a, b), mult(mult(a, c), a))))))))) <=> ((~![X0: $i, X1: $i, X2: $i] : ((~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X2, X1)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X1, X2)))))) | (~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X1, X2)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X2, X1)))))))) | (~((~(mult(mult(b, mult(a, b)), mult(mult(a, c), a)) = mult(b, mult(mult(a, b), mult(mult(a, c), a))))) | (~(mult(mult(b, mult(mult(a, c), a)), mult(a, b)) = mult(b, mult(mult(mult(a, c), a), mult(a, b))))))) | (~((~(mult(mult(b, mult(a, b)), mult(mult(a, c), a)) = mult(b, mult(mult(mult(a, c), a), mult(a, b))))) | (~(mult(mult(b, mult(mult(a, c), a)), mult(a, b)) = mult(b, mult(mult(a, b), mult(mult(a, c), a))))))))),
% 5.68/5.89 inference(rewrite,[status(thm)],[])).
% 5.68/5.89 tff(11523,plain,
% 5.68/5.89 (((~((~(mult(mult(b, mult(a, b)), mult(mult(a, c), a)) = mult(b, mult(mult(mult(a, c), a), mult(a, b))))) | (~(mult(mult(b, mult(mult(a, c), a)), mult(a, b)) = mult(b, mult(mult(a, b), mult(mult(a, c), a))))))) | (~((~(mult(mult(b, mult(a, b)), mult(mult(a, c), a)) = mult(b, mult(mult(a, b), mult(mult(a, c), a))))) | (~(mult(mult(b, mult(mult(a, c), a)), mult(a, b)) = mult(b, mult(mult(mult(a, c), a), mult(a, b)))))))) <=> ((~((~(mult(mult(b, mult(a, b)), mult(mult(a, c), a)) = mult(b, mult(mult(a, b), mult(mult(a, c), a))))) | (~(mult(mult(b, mult(mult(a, c), a)), mult(a, b)) = mult(b, mult(mult(mult(a, c), a), mult(a, b))))))) | (~((~(mult(mult(b, mult(a, b)), mult(mult(a, c), a)) = mult(b, mult(mult(mult(a, c), a), mult(a, b))))) | (~(mult(mult(b, mult(mult(a, c), a)), mult(a, b)) = mult(b, mult(mult(a, b), mult(mult(a, c), a))))))))),
% 5.68/5.89 inference(rewrite,[status(thm)],[])).
% 5.68/5.89 tff(11524,plain,
% 5.68/5.89 (((~![X0: $i, X1: $i, X2: $i] : ((~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X2, X1)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X1, X2)))))) | (~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X1, X2)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X2, X1)))))))) | ((~((~(mult(mult(b, mult(a, b)), mult(mult(a, c), a)) = mult(b, mult(mult(mult(a, c), a), mult(a, b))))) | (~(mult(mult(b, mult(mult(a, c), a)), mult(a, b)) = mult(b, mult(mult(a, b), mult(mult(a, c), a))))))) | (~((~(mult(mult(b, mult(a, b)), mult(mult(a, c), a)) = mult(b, mult(mult(a, b), mult(mult(a, c), a))))) | (~(mult(mult(b, mult(mult(a, c), a)), mult(a, b)) = mult(b, mult(mult(mult(a, c), a), mult(a, b))))))))) <=> ((~![X0: $i, X1: $i, X2: $i] : ((~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X2, X1)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X1, X2)))))) | (~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X1, X2)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X2, X1)))))))) | ((~((~(mult(mult(b, mult(a, b)), mult(mult(a, c), a)) = mult(b, mult(mult(a, b), mult(mult(a, c), a))))) | (~(mult(mult(b, mult(mult(a, c), a)), mult(a, b)) = mult(b, mult(mult(mult(a, c), a), mult(a, b))))))) | (~((~(mult(mult(b, mult(a, b)), mult(mult(a, c), a)) = mult(b, mult(mult(mult(a, c), a), mult(a, b))))) | (~(mult(mult(b, mult(mult(a, c), a)), mult(a, b)) = mult(b, mult(mult(a, b), mult(mult(a, c), a)))))))))),
% 5.68/5.89 inference(monotonicity,[status(thm)],[11523])).
% 5.68/5.89 tff(11525,plain,
% 5.68/5.89 (((~![X0: $i, X1: $i, X2: $i] : ((~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X2, X1)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X1, X2)))))) | (~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X1, X2)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X2, X1)))))))) | ((~((~(mult(mult(b, mult(a, b)), mult(mult(a, c), a)) = mult(b, mult(mult(mult(a, c), a), mult(a, b))))) | (~(mult(mult(b, mult(mult(a, c), a)), mult(a, b)) = mult(b, mult(mult(a, b), mult(mult(a, c), a))))))) | (~((~(mult(mult(b, mult(a, b)), mult(mult(a, c), a)) = mult(b, mult(mult(a, b), mult(mult(a, c), a))))) | (~(mult(mult(b, mult(mult(a, c), a)), mult(a, b)) = mult(b, mult(mult(mult(a, c), a), mult(a, b))))))))) <=> ((~![X0: $i, X1: $i, X2: $i] : ((~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X2, X1)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X1, X2)))))) | (~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X1, X2)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X2, X1)))))))) | (~((~(mult(mult(b, mult(a, b)), mult(mult(a, c), a)) = mult(b, mult(mult(a, b), mult(mult(a, c), a))))) | (~(mult(mult(b, mult(mult(a, c), a)), mult(a, b)) = mult(b, mult(mult(mult(a, c), a), mult(a, b))))))) | (~((~(mult(mult(b, mult(a, b)), mult(mult(a, c), a)) = mult(b, mult(mult(mult(a, c), a), mult(a, b))))) | (~(mult(mult(b, mult(mult(a, c), a)), mult(a, b)) = mult(b, mult(mult(a, b), mult(mult(a, c), a))))))))),
% 5.68/5.89 inference(transitivity,[status(thm)],[11524, 11522])).
% 5.68/5.89 tff(11526,plain,
% 5.68/5.89 ((~![X0: $i, X1: $i, X2: $i] : ((~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X2, X1)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X1, X2)))))) | (~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X1, X2)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X2, X1)))))))) | ((~((~(mult(mult(b, mult(a, b)), mult(mult(a, c), a)) = mult(b, mult(mult(mult(a, c), a), mult(a, b))))) | (~(mult(mult(b, mult(mult(a, c), a)), mult(a, b)) = mult(b, mult(mult(a, b), mult(mult(a, c), a))))))) | (~((~(mult(mult(b, mult(a, b)), mult(mult(a, c), a)) = mult(b, mult(mult(a, b), mult(mult(a, c), a))))) | (~(mult(mult(b, mult(mult(a, c), a)), mult(a, b)) = mult(b, mult(mult(mult(a, c), a), mult(a, b))))))))),
% 5.68/5.89 inference(quant_inst,[status(thm)],[])).
% 5.68/5.89 tff(11527,plain,
% 5.68/5.89 ((~![X0: $i, X1: $i, X2: $i] : ((~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X2, X1)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X1, X2)))))) | (~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X1, X2)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X2, X1)))))))) | (~((~(mult(mult(b, mult(a, b)), mult(mult(a, c), a)) = mult(b, mult(mult(a, b), mult(mult(a, c), a))))) | (~(mult(mult(b, mult(mult(a, c), a)), mult(a, b)) = mult(b, mult(mult(mult(a, c), a), mult(a, b))))))) | (~((~(mult(mult(b, mult(a, b)), mult(mult(a, c), a)) = mult(b, mult(mult(mult(a, c), a), mult(a, b))))) | (~(mult(mult(b, mult(mult(a, c), a)), mult(a, b)) = mult(b, mult(mult(a, b), mult(mult(a, c), a)))))))),
% 5.68/5.89 inference(modus_ponens,[status(thm)],[11526, 11525])).
% 5.68/5.89 tff(11528,plain,
% 5.68/5.89 ((~((~(mult(mult(b, mult(a, b)), mult(mult(a, c), a)) = mult(b, mult(mult(a, b), mult(mult(a, c), a))))) | (~(mult(mult(b, mult(mult(a, c), a)), mult(a, b)) = mult(b, mult(mult(mult(a, c), a), mult(a, b))))))) | (~((~(mult(mult(b, mult(a, b)), mult(mult(a, c), a)) = mult(b, mult(mult(mult(a, c), a), mult(a, b))))) | (~(mult(mult(b, mult(mult(a, c), a)), mult(a, b)) = mult(b, mult(mult(a, b), mult(mult(a, c), a)))))))),
% 5.68/5.89 inference(unit_resolution,[status(thm)],[11527, 30])).
% 5.68/5.89 tff(11529,plain,
% 5.68/5.89 (~((~(mult(mult(b, mult(a, b)), mult(mult(a, c), a)) = mult(b, mult(mult(mult(a, c), a), mult(a, b))))) | (~(mult(mult(b, mult(mult(a, c), a)), mult(a, b)) = mult(b, mult(mult(a, b), mult(mult(a, c), a))))))),
% 5.68/5.89 inference(unit_resolution,[status(thm)],[11528, 11521])).
% 5.68/5.89 tff(11530,plain,
% 5.68/5.89 (((~(mult(mult(b, mult(a, b)), mult(mult(a, c), a)) = mult(b, mult(mult(mult(a, c), a), mult(a, b))))) | (~(mult(mult(b, mult(mult(a, c), a)), mult(a, b)) = mult(b, mult(mult(a, b), mult(mult(a, c), a)))))) | (mult(mult(b, mult(mult(a, c), a)), mult(a, b)) = mult(b, mult(mult(a, b), mult(mult(a, c), a))))),
% 5.68/5.89 inference(tautology,[status(thm)],[])).
% 5.68/5.89 tff(11531,plain,
% 5.68/5.89 (mult(mult(b, mult(mult(a, c), a)), mult(a, b)) = mult(b, mult(mult(a, b), mult(mult(a, c), a)))),
% 5.68/5.89 inference(unit_resolution,[status(thm)],[11530, 11529])).
% 5.68/5.89 tff(11532,plain,
% 5.68/5.89 (mult(b, mult(mult(a, b), mult(mult(a, c), a))) = mult(mult(b, mult(mult(a, c), a)), mult(a, b))),
% 5.68/5.89 inference(symmetry,[status(thm)],[11531])).
% 5.68/5.89 tff(11533,plain,
% 5.68/5.89 (mult(b, mult(mult(a, b), mult(mult(a, c), a))) = mult(b, mult(mult(mult(mult(a, b), a), c), a))),
% 5.68/5.89 inference(monotonicity,[status(thm)],[11097])).
% 5.68/5.89 tff(11534,plain,
% 5.68/5.89 (mult(b, mult(mult(mult(mult(a, b), a), c), a)) = mult(b, mult(mult(a, b), mult(mult(a, c), a)))),
% 5.68/5.89 inference(symmetry,[status(thm)],[11533])).
% 5.68/5.89 tff(11535,plain,
% 5.68/5.89 (mult(b, mult(mult(a, c), mult(mult(a, b), a))) = mult(mult(mult(b, a), mult(a, c)), mult(b, a))),
% 5.68/5.89 inference(transitivity,[status(thm)],[11172, 11512, 11399, 11510, 11134, 11166])).
% 5.68/5.89 tff(11536,plain,
% 5.68/5.89 ((mult(mult(b, mult(mult(a, b), a)), mult(a, c)) = mult(b, mult(mult(a, c), mult(mult(a, b), a)))) <=> (mult(mult(b, a), mult(mult(b, a), mult(a, c))) = mult(mult(mult(b, a), mult(a, c)), mult(b, a)))),
% 5.68/5.89 inference(monotonicity,[status(thm)],[11181, 11535])).
% 5.68/5.89 tff(11537,plain,
% 5.68/5.89 ((mult(mult(b, mult(mult(a, b), a)), mult(a, c)) = mult(b, mult(mult(a, c), mult(mult(a, b), a)))) <=> (mult(mult(mult(b, a), mult(a, c)), mult(b, a)) = mult(mult(b, a), mult(mult(b, a), mult(a, c))))),
% 5.68/5.89 inference(transitivity,[status(thm)],[11536, 11173])).
% 5.68/5.89 tff(11538,plain,
% 5.68/5.89 ((mult(mult(mult(b, a), mult(a, c)), mult(b, a)) = mult(mult(b, a), mult(mult(b, a), mult(a, c)))) <=> (mult(mult(b, mult(mult(a, b), a)), mult(a, c)) = mult(b, mult(mult(a, c), mult(mult(a, b), a))))),
% 5.68/5.89 inference(symmetry,[status(thm)],[11537])).
% 5.68/5.89 tff(11539,plain,
% 5.68/5.89 ((~(mult(mult(mult(b, a), mult(a, c)), mult(b, a)) = mult(mult(b, a), mult(mult(b, a), mult(a, c))))) <=> (~(mult(mult(b, mult(mult(a, b), a)), mult(a, c)) = mult(b, mult(mult(a, c), mult(mult(a, b), a)))))),
% 5.68/5.89 inference(monotonicity,[status(thm)],[11538])).
% 5.68/5.89 tff(11540,plain,
% 5.68/5.89 (~(mult(mult(b, mult(mult(a, b), a)), mult(a, c)) = mult(b, mult(mult(a, c), mult(mult(a, b), a))))),
% 5.68/5.89 inference(modus_ponens,[status(thm)],[11136, 11539])).
% 5.68/5.89 tff(11541,plain,
% 5.68/5.89 ((~(mult(mult(b, mult(a, c)), mult(mult(a, b), a)) = mult(b, mult(mult(mult(a, b), a), mult(a, c))))) | (~(mult(mult(b, mult(mult(a, b), a)), mult(a, c)) = mult(b, mult(mult(a, c), mult(mult(a, b), a)))))),
% 5.68/5.89 inference(unit_resolution,[status(thm)],[11187, 11540])).
% 5.68/5.89 tff(11542,plain,
% 5.68/5.89 (~((~(mult(mult(b, mult(a, c)), mult(mult(a, b), a)) = mult(b, mult(mult(a, c), mult(mult(a, b), a))))) | (~(mult(mult(b, mult(mult(a, b), a)), mult(a, c)) = mult(b, mult(mult(mult(a, b), a), mult(a, c))))))),
% 5.68/5.89 inference(unit_resolution,[status(thm)],[11195, 11541])).
% 5.68/5.89 tff(11543,plain,
% 5.68/5.89 (((~(mult(mult(b, mult(a, c)), mult(mult(a, b), a)) = mult(b, mult(mult(a, c), mult(mult(a, b), a))))) | (~(mult(mult(b, mult(mult(a, b), a)), mult(a, c)) = mult(b, mult(mult(mult(a, b), a), mult(a, c)))))) | (mult(mult(b, mult(mult(a, b), a)), mult(a, c)) = mult(b, mult(mult(mult(a, b), a), mult(a, c))))),
% 5.68/5.89 inference(tautology,[status(thm)],[])).
% 5.68/5.89 tff(11544,plain,
% 5.68/5.89 (mult(mult(b, mult(mult(a, b), a)), mult(a, c)) = mult(b, mult(mult(mult(a, b), a), mult(a, c)))),
% 5.68/5.89 inference(unit_resolution,[status(thm)],[11543, 11542])).
% 5.68/5.89 tff(11545,plain,
% 5.68/5.89 (mult(b, mult(mult(mult(a, b), a), mult(a, c))) = mult(mult(b, mult(mult(a, b), a)), mult(a, c))),
% 5.68/5.89 inference(symmetry,[status(thm)],[11544])).
% 5.68/5.89 tff(11546,plain,
% 5.68/5.89 (mult(mult(mult(a, b), a), mult(a, c)) = mult(mult(mult(mult(a, b), a), c), a)),
% 5.68/5.89 inference(transitivity,[status(thm)],[11017, 11097])).
% 5.68/5.89 tff(11547,plain,
% 5.68/5.89 (mult(b, mult(mult(mult(a, b), a), mult(a, c))) = mult(b, mult(mult(mult(mult(a, b), a), c), a))),
% 5.68/5.89 inference(monotonicity,[status(thm)],[11546])).
% 5.68/5.89 tff(11548,plain,
% 5.68/5.89 (mult(b, mult(mult(mult(mult(a, b), a), c), a)) = mult(b, mult(mult(mult(a, b), a), mult(a, c)))),
% 5.68/5.89 inference(symmetry,[status(thm)],[11547])).
% 5.68/5.89 tff(11549,plain,
% 5.68/5.89 (mult(mult(b, a), mult(c, mult(mult(a, b), a))) = mult(mult(b, a), mult(mult(b, a), mult(a, c)))),
% 5.68/5.89 inference(transitivity,[status(thm)],[11397, 11155, 7884, 11388, 11316, 11391, 11531, 11533, 11548, 11545, 11180, 11176])).
% 5.68/5.89 tff(11550,plain,
% 5.68/5.89 (ld(mult(b, a), mult(mult(b, a), mult(c, mult(mult(a, b), a)))) = ld(mult(b, a), mult(mult(b, a), mult(mult(b, a), mult(a, c))))),
% 5.68/5.89 inference(monotonicity,[status(thm)],[11549])).
% 5.68/5.89 tff(11551,plain,
% 5.68/5.89 (ld(mult(b, a), mult(mult(b, a), mult(mult(b, a), mult(a, c)))) = ld(mult(b, a), mult(mult(b, a), mult(c, mult(mult(a, b), a))))),
% 5.68/5.89 inference(symmetry,[status(thm)],[11550])).
% 5.68/5.89 tff(11552,plain,
% 5.68/5.89 (mult(mult(b, a), mult(a, c)) = mult(mult(mult(c, a), b), a)),
% 5.68/5.89 inference(transitivity,[status(thm)],[11270, 11551, 11130, 2808])).
% 5.68/5.89 tff(11553,plain,
% 5.68/5.89 (mult(a, mult(mult(b, a), mult(a, c))) = mult(a, mult(mult(mult(c, a), b), a))),
% 5.68/5.89 inference(monotonicity,[status(thm)],[11552])).
% 5.68/5.89 tff(11554,plain,
% 5.68/5.89 (mult(mult(mult(mult(a, b), a), c), a) = mult(mult(mult(a, c), a), mult(a, b))),
% 5.68/5.89 inference(transitivity,[status(thm)],[11096, 11018, 11304, 11249, 11553, 11036, 11035, 11171])).
% 5.68/5.89 tff(11555,plain,
% 5.68/5.89 (mult(b, mult(mult(mult(mult(a, b), a), c), a)) = mult(b, mult(mult(mult(a, c), a), mult(a, b)))),
% 5.68/5.90 inference(monotonicity,[status(thm)],[11554])).
% 5.68/5.90 tff(11556,plain,
% 5.68/5.90 (mult(b, mult(mult(mult(a, c), a), mult(a, b))) = mult(b, mult(mult(mult(mult(a, b), a), c), a))),
% 5.68/5.90 inference(symmetry,[status(thm)],[11555])).
% 5.68/5.90 tff(11557,plain,
% 5.68/5.90 (mult(b, mult(mult(a, mult(mult(c, a), b)), a)) = mult(b, mult(mult(mult(a, c), a), mult(a, b)))),
% 5.68/5.90 inference(symmetry,[status(thm)],[11512])).
% 5.68/5.90 tff(11558,plain,
% 5.68/5.90 (mult(mult(b, a), mult(a, mult(mult(c, a), b))) = mult(mult(mult(b, a), mult(mult(c, a), b)), a)),
% 5.68/5.90 inference(symmetry,[status(thm)],[11510])).
% 5.68/5.90 tff(11559,plain,
% 5.68/5.90 (mult(mult(mult(b, mult(c, a)), a), mult(b, a)) = mult(mult(b, mult(c, a)), mult(a, mult(b, a)))),
% 5.68/5.90 inference(transitivity,[status(thm)],[3534, 11152, 11135, 11558, 11157, 11557, 11556, 11534, 11532, 11392, 11390, 11389, 4198, 4196])).
% 5.68/5.90 tff(11560,plain,
% 5.68/5.90 ($false),
% 5.68/5.90 inference(unit_resolution,[status(thm)],[10726, 11559])).
% 5.68/5.90 tff(11561,plain,((~(mult(mult(mult(b, a), c), mult(mult(a, b), a)) = mult(mult(b, a), mult(c, mult(mult(a, b), a))))) | (mult(mult(mult(b, mult(c, a)), a), mult(b, a)) = mult(mult(b, mult(c, a)), mult(a, mult(b, a)))) | (~(mult(mult(mult(mult(b, a), mult(a, c)), b), a) = mult(mult(mult(b, a), mult(a, c)), mult(a, b)))) | (~(mult(mult(a, c), mult(b, a)) = mult(a, mult(c, mult(b, a))))) | (~(mult(mult(c, a), b) = mult(c, mult(b, a)))) | (~(mult(mult(mult(a, c), a), mult(a, b)) = mult(mult(a, c), mult(mult(a, b), a)))) | (~(mult(mult(mult(a, b), a), mult(a, c)) = mult(mult(a, b), mult(mult(a, c), a)))) | (~(mult(mult(a, mult(b, a)), mult(a, c)) = mult(a, mult(mult(b, a), mult(a, c))))) | (~(mult(mult(a, c), mult(mult(a, b), a)) = mult(a, mult(c, mult(mult(a, b), a))))) | (~(mult(mult(mult(b, a), b), a) = mult(mult(b, a), mult(b, a)))) | (mult(mult(mult(b, a), mult(a, c)), mult(b, a)) = mult(mult(b, a), mult(mult(b, a), mult(a, c)))) | (~(mult(mult(mult(mult(b, a), mult(a, c)), a), b) = mult(mult(mult(b, a), mult(a, c)), mult(b, a)))) | (~(mult(mult(b, a), mult(a, mult(a, c))) = mult(b, mult(mult(a, mult(a, c)), a)))) | (~(mult(mult(a, mult(mult(b, c), a)), a) = mult(a, mult(mult(mult(b, c), a), a)))) | (~(mult(mult(mult(mult(mult(a, b), c), a), b), a) = mult(mult(mult(mult(a, b), c), a), mult(a, b)))) | (~(mult(mult(a, b), mult(a, mult(a, c))) = mult(a, mult(b, mult(a, mult(a, c)))))) | (~(mult(mult(mult(mult(mult(a, c), mult(b, a)), mult(a, c)), b), a) = mult(mult(mult(mult(a, c), mult(b, a)), mult(a, c)), mult(b, a)))) | (~(mult(mult(mult(a, c), a), b) = mult(mult(a, c), mult(b, a)))) | (~(mult(mult(mult(a, b), c), a) = mult(mult(a, b), mult(a, c)))) | (mult(mult(mult(b, a), mult(a, mult(a, c))), b) = mult(mult(b, a), mult(mult(a, mult(a, c)), b))) | (~(mult(mult(b, mult(a, b)), a) = mult(b, mult(mult(a, b), a))))), inference(lemma,lemma(discharge,[]))).
% 5.68/5.90 tff(11562,plain,
% 5.68/5.90 (~(mult(mult(mult(b, a), c), mult(mult(a, b), a)) = mult(mult(b, a), mult(c, mult(mult(a, b), a))))),
% 5.68/5.90 inference(unit_resolution,[status(thm)],[11561, 11136, 11316, 10728, 342, 10864, 11017, 11249, 10783, 11025, 10726, 10947, 11363, 10561, 6691, 10565, 6785, 1362, 168, 11387, 11026])).
% 5.68/5.90 tff(11563,plain,
% 5.68/5.90 ((~(mult(mult(mult(b, a), mult(mult(a, b), a)), c) = mult(mult(b, a), mult(mult(mult(a, b), a), c)))) | (~(mult(mult(mult(b, a), c), mult(mult(a, b), a)) = mult(mult(b, a), mult(c, mult(mult(a, b), a)))))),
% 5.68/5.90 inference(unit_resolution,[status(thm)],[11230, 11562])).
% 5.68/5.90 tff(11564,plain,
% 5.68/5.90 (~((~(mult(mult(mult(b, a), mult(mult(a, b), a)), c) = mult(mult(b, a), mult(c, mult(mult(a, b), a))))) | (~(mult(mult(mult(b, a), c), mult(mult(a, b), a)) = mult(mult(b, a), mult(mult(mult(a, b), a), c)))))),
% 5.68/5.90 inference(unit_resolution,[status(thm)],[11235, 11563])).
% 5.68/5.90 tff(11565,plain,
% 5.68/5.90 (mult(mult(mult(b, a), c), mult(mult(a, b), a)) = mult(mult(b, a), mult(mult(mult(a, b), a), c))),
% 5.68/5.90 inference(unit_resolution,[status(thm)],[11237, 11564])).
% 5.68/5.90 tff(11566,plain,
% 5.68/5.90 (mult(mult(b, a), mult(a, mult(mult(c, a), b))) = mult(mult(b, a), mult(mult(a, c), mult(b, a)))),
% 5.68/5.90 inference(monotonicity,[status(thm)],[11070])).
% 5.68/5.90 tff(11567,assumption,(mult(mult(mult(b, a), mult(mult(c, a), b)), a) = mult(mult(b, a), mult(a, mult(mult(c, a), b)))), introduced(assumption)).
% 5.68/5.90 tff(11568,plain,
% 5.68/5.90 (mult(mult(mult(a, c), mult(b, a)), a) = mult(mult(a, mult(mult(c, a), b)), a)),
% 5.68/5.90 inference(symmetry,[status(thm)],[11311])).
% 5.68/5.90 tff(11569,plain,
% 5.68/5.90 (mult(mult(mult(a, c), a), mult(a, b)) = mult(mult(a, mult(mult(c, a), b)), a)),
% 5.68/5.90 inference(transitivity,[status(thm)],[10864, 10732, 10826, 11568])).
% 5.68/5.90 tff(11570,plain,
% 5.68/5.90 (mult(b, mult(mult(mult(a, c), a), mult(a, b))) = mult(b, mult(mult(a, mult(mult(c, a), b)), a))),
% 5.68/5.90 inference(monotonicity,[status(thm)],[11569])).
% 5.68/5.90 tff(11571,plain,
% 5.68/5.90 (mult(b, mult(mult(a, c), mult(mult(a, b), a))) = mult(mult(mult(b, a), mult(a, c)), mult(b, a))),
% 5.68/5.90 inference(transitivity,[status(thm)],[11172, 11570, 11399, 11567, 11566, 11166])).
% 5.68/5.90 tff(11572,plain,
% 5.68/5.90 ((mult(mult(b, mult(mult(a, b), a)), mult(a, c)) = mult(b, mult(mult(a, c), mult(mult(a, b), a)))) <=> (mult(mult(b, a), mult(mult(b, a), mult(a, c))) = mult(mult(mult(b, a), mult(a, c)), mult(b, a)))),
% 5.68/5.90 inference(monotonicity,[status(thm)],[11181, 11571])).
% 5.68/5.90 tff(11573,plain,
% 5.68/5.90 ((mult(mult(b, mult(mult(a, b), a)), mult(a, c)) = mult(b, mult(mult(a, c), mult(mult(a, b), a)))) <=> (mult(mult(mult(b, a), mult(a, c)), mult(b, a)) = mult(mult(b, a), mult(mult(b, a), mult(a, c))))),
% 5.68/5.90 inference(transitivity,[status(thm)],[11572, 11173])).
% 5.68/5.90 tff(11574,plain,
% 5.68/5.90 ((mult(mult(mult(b, a), mult(a, c)), mult(b, a)) = mult(mult(b, a), mult(mult(b, a), mult(a, c)))) <=> (mult(mult(b, mult(mult(a, b), a)), mult(a, c)) = mult(b, mult(mult(a, c), mult(mult(a, b), a))))),
% 5.68/5.90 inference(symmetry,[status(thm)],[11573])).
% 5.68/5.90 tff(11575,plain,
% 5.68/5.90 ((~(mult(mult(mult(b, a), mult(a, c)), mult(b, a)) = mult(mult(b, a), mult(mult(b, a), mult(a, c))))) <=> (~(mult(mult(b, mult(mult(a, b), a)), mult(a, c)) = mult(b, mult(mult(a, c), mult(mult(a, b), a)))))),
% 5.68/5.90 inference(monotonicity,[status(thm)],[11574])).
% 5.68/5.90 tff(11576,plain,
% 5.68/5.90 (~(mult(mult(b, mult(mult(a, b), a)), mult(a, c)) = mult(b, mult(mult(a, c), mult(mult(a, b), a))))),
% 5.68/5.90 inference(modus_ponens,[status(thm)],[11136, 11575])).
% 5.68/5.90 tff(11577,plain,
% 5.68/5.90 ((~(mult(mult(b, mult(a, c)), mult(mult(a, b), a)) = mult(b, mult(mult(mult(a, b), a), mult(a, c))))) | (~(mult(mult(b, mult(mult(a, b), a)), mult(a, c)) = mult(b, mult(mult(a, c), mult(mult(a, b), a)))))),
% 5.68/5.90 inference(unit_resolution,[status(thm)],[11187, 11576])).
% 5.68/5.90 tff(11578,plain,
% 5.68/5.90 (~((~(mult(mult(b, mult(a, c)), mult(mult(a, b), a)) = mult(b, mult(mult(a, c), mult(mult(a, b), a))))) | (~(mult(mult(b, mult(mult(a, b), a)), mult(a, c)) = mult(b, mult(mult(mult(a, b), a), mult(a, c))))))),
% 5.68/5.90 inference(unit_resolution,[status(thm)],[11195, 11577])).
% 5.68/5.90 tff(11579,plain,
% 5.68/5.90 (mult(mult(b, mult(mult(a, b), a)), mult(a, c)) = mult(b, mult(mult(mult(a, b), a), mult(a, c)))),
% 5.68/5.90 inference(unit_resolution,[status(thm)],[11543, 11578])).
% 5.68/5.90 tff(11580,plain,
% 5.68/5.90 (mult(b, mult(mult(mult(a, b), a), mult(a, c))) = mult(mult(b, mult(mult(a, b), a)), mult(a, c))),
% 5.68/5.90 inference(symmetry,[status(thm)],[11579])).
% 5.68/5.90 tff(11581,plain,
% 5.68/5.90 (mult(b, mult(mult(mult(mult(a, b), a), c), a)) = mult(b, mult(mult(a, b), mult(mult(a, c), a)))),
% 5.68/5.90 inference(monotonicity,[status(thm)],[11096])).
% 5.68/5.90 tff(11582,plain,
% 5.68/5.90 (mult(b, mult(mult(a, b), mult(mult(a, c), a))) = mult(b, mult(mult(mult(mult(a, b), a), c), a))),
% 5.68/5.90 inference(symmetry,[status(thm)],[11581])).
% 5.68/5.90 tff(11583,plain,
% 5.68/5.90 (mult(b, mult(mult(mult(a, c), a), mult(a, b))) = mult(mult(mult(b, mult(c, a)), a), mult(b, a))),
% 5.68/5.90 inference(transitivity,[status(thm)],[11570, 11399, 11567, 11566, 11166, 3535])).
% 5.68/5.90 tff(11584,plain,
% 5.68/5.90 (mult(b, mult(mult(a, c), a)) = mult(mult(b, a), mult(a, c))),
% 5.68/5.90 inference(transitivity,[status(thm)],[863, 3530])).
% 5.68/5.90 tff(11585,plain,
% 5.68/5.90 (mult(mult(b, mult(mult(a, c), a)), mult(a, b)) = mult(mult(mult(b, a), mult(a, c)), mult(a, b))),
% 5.68/5.90 inference(monotonicity,[status(thm)],[11584])).
% 5.68/5.90 tff(11586,plain,
% 5.68/5.90 (mult(mult(b, mult(mult(a, c), a)), mult(a, b)) = mult(mult(b, mult(c, a)), mult(a, mult(b, a)))),
% 5.68/5.90 inference(transitivity,[status(thm)],[11585, 11390, 4201, 4198, 4196])).
% 5.68/5.90 tff(11587,plain,
% 5.68/5.90 ((mult(mult(b, mult(mult(a, c), a)), mult(a, b)) = mult(b, mult(mult(mult(a, c), a), mult(a, b)))) <=> (mult(mult(b, mult(c, a)), mult(a, mult(b, a))) = mult(mult(mult(b, mult(c, a)), a), mult(b, a)))),
% 5.68/5.90 inference(monotonicity,[status(thm)],[11586, 11583])).
% 5.68/5.90 tff(11588,plain,
% 5.68/5.90 ((mult(mult(b, mult(mult(a, c), a)), mult(a, b)) = mult(b, mult(mult(mult(a, c), a), mult(a, b)))) <=> (mult(mult(mult(b, mult(c, a)), a), mult(b, a)) = mult(mult(b, mult(c, a)), mult(a, mult(b, a))))),
% 5.68/5.90 inference(transitivity,[status(thm)],[11587, 2])).
% 5.68/5.90 tff(11589,plain,
% 5.68/5.90 ((mult(mult(mult(b, mult(c, a)), a), mult(b, a)) = mult(mult(b, mult(c, a)), mult(a, mult(b, a)))) <=> (mult(mult(b, mult(mult(a, c), a)), mult(a, b)) = mult(b, mult(mult(mult(a, c), a), mult(a, b))))),
% 5.68/5.90 inference(symmetry,[status(thm)],[11588])).
% 5.68/5.90 tff(11590,plain,
% 5.68/5.90 ((~(mult(mult(mult(b, mult(c, a)), a), mult(b, a)) = mult(mult(b, mult(c, a)), mult(a, mult(b, a))))) <=> (~(mult(mult(b, mult(mult(a, c), a)), mult(a, b)) = mult(b, mult(mult(mult(a, c), a), mult(a, b)))))),
% 5.68/5.90 inference(monotonicity,[status(thm)],[11589])).
% 5.68/5.90 tff(11591,plain,
% 5.68/5.90 (~(mult(mult(b, mult(mult(a, c), a)), mult(a, b)) = mult(b, mult(mult(mult(a, c), a), mult(a, b))))),
% 5.68/5.90 inference(modus_ponens,[status(thm)],[10726, 11590])).
% 5.68/5.90 tff(11592,plain,
% 5.68/5.90 ((~(mult(mult(b, mult(a, b)), mult(mult(a, c), a)) = mult(b, mult(mult(a, b), mult(mult(a, c), a))))) | (~(mult(mult(b, mult(mult(a, c), a)), mult(a, b)) = mult(b, mult(mult(mult(a, c), a), mult(a, b)))))),
% 5.68/5.90 inference(unit_resolution,[status(thm)],[11520, 11591])).
% 5.68/5.90 tff(11593,plain,
% 5.68/5.90 (~((~(mult(mult(b, mult(a, b)), mult(mult(a, c), a)) = mult(b, mult(mult(mult(a, c), a), mult(a, b))))) | (~(mult(mult(b, mult(mult(a, c), a)), mult(a, b)) = mult(b, mult(mult(a, b), mult(mult(a, c), a))))))),
% 5.68/5.90 inference(unit_resolution,[status(thm)],[11528, 11592])).
% 5.68/5.90 tff(11594,plain,
% 5.68/5.90 (mult(mult(b, mult(mult(a, c), a)), mult(a, b)) = mult(b, mult(mult(a, b), mult(mult(a, c), a)))),
% 5.68/5.90 inference(unit_resolution,[status(thm)],[11530, 11593])).
% 5.68/5.90 tff(11595,plain,
% 5.68/5.90 (mult(mult(mult(b, a), mult(a, c)), mult(a, b)) = mult(mult(b, mult(mult(a, c), a)), mult(a, b))),
% 5.68/5.90 inference(symmetry,[status(thm)],[11585])).
% 5.68/5.90 tff(11596,plain,
% 5.68/5.90 (mult(mult(mult(mult(b, mult(c, a)), a), b), a) = mult(mult(mult(mult(b, a), mult(a, c)), b), a)),
% 5.68/5.90 inference(symmetry,[status(thm)],[4201])).
% 5.68/5.90 tff(11597,plain,
% 5.68/5.90 (mult(mult(b, a), mult(mult(mult(a, b), a), c)) = mult(mult(b, a), mult(mult(b, a), mult(a, c)))),
% 5.68/5.90 inference(transitivity,[status(thm)],[11253, 11155, 7884, 11596, 11316, 11595, 11594, 11582, 11548, 11580, 11180, 11176])).
% 5.68/5.90 tff(11598,plain,
% 5.68/5.90 (ld(mult(b, a), mult(mult(b, a), mult(mult(mult(a, b), a), c))) = ld(mult(b, a), mult(mult(b, a), mult(mult(b, a), mult(a, c))))),
% 5.68/5.90 inference(monotonicity,[status(thm)],[11597])).
% 5.68/5.90 tff(11599,plain,
% 5.68/5.90 (mult(mult(mult(a, b), a), c) = mult(mult(b, a), mult(a, c))),
% 5.68/5.90 inference(transitivity,[status(thm)],[11244, 11598, 11251])).
% 5.68/5.90 tff(11600,plain,
% 5.68/5.90 (mult(a, mult(mult(mult(a, b), a), c)) = mult(a, mult(mult(b, a), mult(a, c)))),
% 5.68/5.90 inference(monotonicity,[status(thm)],[11599])).
% 5.68/5.90 tff(11601,plain,
% 5.68/5.90 (mult(a, mult(mult(b, a), mult(a, c))) = mult(a, mult(mult(mult(a, b), a), c))),
% 5.68/5.90 inference(symmetry,[status(thm)],[11600])).
% 5.68/5.90 tff(11602,plain,
% 5.68/5.90 (mult(mult(a, mult(b, mult(c, a))), a) = mult(a, mult(a, mult(b, mult(c, a))))),
% 5.68/5.90 inference(transitivity,[status(thm)],[11093, 11096, 11018, 11016, 11249, 11601, 11100])).
% 5.68/5.90 tff(11603,plain,
% 5.68/5.90 ($false),
% 5.68/5.90 inference(unit_resolution,[status(thm)],[11027, 11602])).
% 5.68/5.90 tff(11604,plain,((~(mult(mult(mult(b, a), mult(mult(c, a), b)), a) = mult(mult(b, a), mult(a, mult(mult(c, a), b))))) | (mult(mult(a, mult(b, mult(c, a))), a) = mult(a, mult(a, mult(b, mult(c, a))))) | (~(mult(mult(mult(a, b), a), mult(a, c)) = mult(mult(a, b), mult(mult(a, c), a)))) | (~(mult(mult(a, mult(b, a)), mult(a, c)) = mult(a, mult(mult(b, a), mult(a, c))))) | (~(mult(mult(mult(b, a), c), mult(mult(a, b), a)) = mult(mult(b, a), mult(mult(mult(a, b), a), c)))) | (~(mult(mult(mult(mult(b, a), mult(a, c)), b), a) = mult(mult(mult(b, a), mult(a, c)), mult(a, b)))) | (~(mult(mult(mult(b, a), b), a) = mult(mult(b, a), mult(b, a)))) | (~(mult(mult(a, b), mult(c, a)) = mult(a, mult(b, mult(c, a))))) | (mult(mult(mult(b, a), mult(a, c)), mult(b, a)) = mult(mult(b, a), mult(mult(b, a), mult(a, c)))) | (~(mult(mult(c, a), b) = mult(c, mult(b, a)))) | (~(mult(mult(mult(a, c), a), mult(a, b)) = mult(mult(a, c), mult(mult(a, b), a)))) | (~(mult(mult(mult(a, c), mult(b, a)), a) = mult(mult(a, c), mult(a, mult(b, a))))) | (mult(mult(mult(b, mult(c, a)), a), mult(b, a)) = mult(mult(b, mult(c, a)), mult(a, mult(b, a))))), inference(lemma,lemma(discharge,[]))).
% 5.68/5.90 tff(11605,plain,
% 5.68/5.90 (~(mult(mult(mult(b, a), mult(mult(c, a), b)), a) = mult(mult(b, a), mult(a, mult(mult(c, a), b))))),
% 5.68/5.90 inference(unit_resolution,[status(thm)],[11604, 11565, 11017, 11249, 11027, 11316, 11025, 754, 11136, 342, 10864, 11029, 10726])).
% 5.68/5.90 tff(11606,plain,
% 5.68/5.90 ((~(mult(mult(mult(b, a), a), mult(mult(c, a), b)) = mult(mult(b, a), mult(mult(mult(c, a), b), a)))) | (~(mult(mult(mult(b, a), mult(mult(c, a), b)), a) = mult(mult(b, a), mult(a, mult(mult(c, a), b)))))),
% 5.68/5.90 inference(unit_resolution,[status(thm)],[11210, 11605])).
% 5.68/5.90 tff(11607,plain,
% 5.68/5.90 (~((~(mult(mult(mult(b, a), a), mult(mult(c, a), b)) = mult(mult(b, a), mult(a, mult(mult(c, a), b))))) | (~(mult(mult(mult(b, a), mult(mult(c, a), b)), a) = mult(mult(b, a), mult(mult(mult(c, a), b), a)))))),
% 5.68/5.90 inference(unit_resolution,[status(thm)],[11218, 11606])).
% 5.68/5.90 tff(11608,plain,
% 5.68/5.90 (mult(mult(mult(b, a), mult(mult(c, a), b)), a) = mult(mult(b, a), mult(mult(mult(c, a), b), a))),
% 5.68/5.90 inference(unit_resolution,[status(thm)],[11220, 11607])).
% 5.68/5.90 tff(11609,plain,
% 5.68/5.90 (mult(b, mult(mult(mult(a, c), a), mult(a, b))) = mult(mult(b, a), mult(c, mult(mult(a, b), a)))),
% 5.68/5.90 inference(transitivity,[status(thm)],[11314, 11399, 11608, 11315])).
% 5.68/5.90 tff(11610,plain,
% 5.68/5.90 (mult(mult(b, mult(c, a)), mult(mult(a, b), a)) = mult(mult(mult(b, a), c), mult(mult(a, b), a))),
% 5.68/5.90 inference(symmetry,[status(thm)],[11155])).
% 5.68/5.90 tff(11611,plain,
% 5.68/5.90 (mult(mult(b, mult(mult(a, c), a)), mult(a, b)) = mult(mult(mult(b, a), c), mult(mult(a, b), a))),
% 5.68/5.90 inference(transitivity,[status(thm)],[11585, 11390, 11389, 4198, 11610])).
% 5.68/5.90 tff(11612,plain,
% 5.68/5.90 ((mult(mult(b, mult(mult(a, c), a)), mult(a, b)) = mult(b, mult(mult(mult(a, c), a), mult(a, b)))) <=> (mult(mult(mult(b, a), c), mult(mult(a, b), a)) = mult(mult(b, a), mult(c, mult(mult(a, b), a))))),
% 5.68/5.90 inference(monotonicity,[status(thm)],[11611, 11609])).
% 5.68/5.90 tff(11613,plain,
% 5.68/5.90 ((mult(mult(mult(b, a), c), mult(mult(a, b), a)) = mult(mult(b, a), mult(c, mult(mult(a, b), a)))) <=> (mult(mult(b, mult(mult(a, c), a)), mult(a, b)) = mult(b, mult(mult(mult(a, c), a), mult(a, b))))),
% 5.68/5.90 inference(symmetry,[status(thm)],[11612])).
% 5.68/5.90 tff(11614,plain,
% 5.68/5.90 ((~(mult(mult(mult(b, a), c), mult(mult(a, b), a)) = mult(mult(b, a), mult(c, mult(mult(a, b), a))))) <=> (~(mult(mult(b, mult(mult(a, c), a)), mult(a, b)) = mult(b, mult(mult(mult(a, c), a), mult(a, b)))))),
% 5.68/5.90 inference(monotonicity,[status(thm)],[11613])).
% 5.68/5.90 tff(11615,plain,
% 5.68/5.90 (~(mult(mult(b, mult(mult(a, c), a)), mult(a, b)) = mult(b, mult(mult(mult(a, c), a), mult(a, b))))),
% 5.68/5.90 inference(modus_ponens,[status(thm)],[11562, 11614])).
% 5.68/5.90 tff(11616,plain,
% 5.68/5.90 ((~(mult(mult(b, mult(a, b)), mult(mult(a, c), a)) = mult(b, mult(mult(a, b), mult(mult(a, c), a))))) | (~(mult(mult(b, mult(mult(a, c), a)), mult(a, b)) = mult(b, mult(mult(mult(a, c), a), mult(a, b)))))),
% 5.68/5.90 inference(unit_resolution,[status(thm)],[11520, 11615])).
% 5.68/5.90 tff(11617,plain,
% 5.68/5.90 (~((~(mult(mult(b, mult(a, b)), mult(mult(a, c), a)) = mult(b, mult(mult(mult(a, c), a), mult(a, b))))) | (~(mult(mult(b, mult(mult(a, c), a)), mult(a, b)) = mult(b, mult(mult(a, b), mult(mult(a, c), a))))))),
% 5.68/5.90 inference(unit_resolution,[status(thm)],[11528, 11616])).
% 5.68/5.90 tff(11618,plain,
% 5.68/5.90 (((~(mult(mult(b, mult(a, b)), mult(mult(a, c), a)) = mult(b, mult(mult(mult(a, c), a), mult(a, b))))) | (~(mult(mult(b, mult(mult(a, c), a)), mult(a, b)) = mult(b, mult(mult(a, b), mult(mult(a, c), a)))))) | (mult(mult(b, mult(a, b)), mult(mult(a, c), a)) = mult(b, mult(mult(mult(a, c), a), mult(a, b))))),
% 5.68/5.91 inference(tautology,[status(thm)],[])).
% 5.68/5.91 tff(11619,plain,
% 5.68/5.91 (mult(mult(b, mult(a, b)), mult(mult(a, c), a)) = mult(b, mult(mult(mult(a, c), a), mult(a, b)))),
% 5.68/5.91 inference(unit_resolution,[status(thm)],[11618, 11617])).
% 5.68/5.91 tff(11620,plain,
% 5.68/5.91 (rd(mult(mult(mult(b, a), b), a), a) = rd(mult(mult(b, mult(a, b)), a), a)),
% 5.68/5.91 inference(symmetry,[status(thm)],[11460])).
% 5.68/5.91 tff(11621,plain,
% 5.68/5.91 (mult(mult(b, a), b) = rd(mult(mult(mult(b, a), b), a), a)),
% 5.68/5.91 inference(symmetry,[status(thm)],[11458])).
% 5.68/5.91 tff(11622,plain,
% 5.68/5.91 (mult(mult(b, a), b) = mult(b, mult(a, b))),
% 5.68/5.91 inference(transitivity,[status(thm)],[11621, 11620, 11462])).
% 5.68/5.91 tff(11623,plain,
% 5.68/5.91 (mult(mult(mult(b, a), b), mult(mult(a, c), a)) = mult(mult(b, mult(a, b)), mult(mult(a, c), a))),
% 5.68/5.91 inference(monotonicity,[status(thm)],[11622])).
% 5.68/5.91 tff(11624,plain,
% 5.68/5.91 (mult(mult(mult(b, a), b), mult(mult(a, c), a)) = mult(b, mult(mult(a, mult(mult(c, a), b)), a))),
% 5.68/5.91 inference(transitivity,[status(thm)],[11623, 11619, 11314])).
% 5.68/5.91 tff(11625,plain,
% 5.68/5.91 ((mult(mult(mult(b, a), b), mult(mult(a, c), a)) = mult(mult(b, a), mult(mult(mult(a, c), a), b))) <=> (mult(b, mult(mult(a, mult(mult(c, a), b)), a)) = mult(mult(b, a), mult(a, mult(mult(c, a), b))))),
% 5.68/5.91 inference(monotonicity,[status(thm)],[11624, 11310])).
% 5.68/5.91 tff(11626,plain,
% 5.68/5.91 ((mult(mult(mult(b, a), b), mult(mult(a, c), a)) = mult(mult(b, a), mult(mult(mult(a, c), a), b))) <=> (mult(mult(b, a), mult(a, mult(mult(c, a), b))) = mult(b, mult(mult(a, mult(mult(c, a), b)), a)))),
% 5.68/5.91 inference(transitivity,[status(thm)],[11625, 11158])).
% 5.68/5.91 tff(11627,plain,
% 5.68/5.91 ((mult(mult(b, a), mult(a, mult(mult(c, a), b))) = mult(b, mult(mult(a, mult(mult(c, a), b)), a))) <=> (mult(mult(mult(b, a), b), mult(mult(a, c), a)) = mult(mult(b, a), mult(mult(mult(a, c), a), b)))),
% 5.68/5.91 inference(symmetry,[status(thm)],[11626])).
% 5.68/5.91 tff(11628,plain,
% 5.68/5.91 ((~(mult(mult(b, a), mult(a, mult(mult(c, a), b))) = mult(b, mult(mult(a, mult(mult(c, a), b)), a)))) <=> (~(mult(mult(mult(b, a), b), mult(mult(a, c), a)) = mult(mult(b, a), mult(mult(mult(a, c), a), b))))),
% 5.68/5.91 inference(monotonicity,[status(thm)],[11627])).
% 5.68/5.91 tff(11629,plain,
% 5.68/5.91 ((~(mult(mult(mult(b, a), mult(mult(c, a), b)), a) = mult(mult(b, a), mult(a, mult(mult(c, a), b))))) <=> (~(mult(mult(b, a), mult(a, mult(mult(c, a), b))) = mult(b, mult(mult(a, mult(mult(c, a), b)), a))))),
% 5.68/5.91 inference(monotonicity,[status(thm)],[11160])).
% 5.68/5.91 tff(11630,plain,
% 5.68/5.91 (~(mult(mult(b, a), mult(a, mult(mult(c, a), b))) = mult(b, mult(mult(a, mult(mult(c, a), b)), a)))),
% 5.68/5.91 inference(modus_ponens,[status(thm)],[11605, 11629])).
% 5.68/5.91 tff(11631,plain,
% 5.68/5.91 (~(mult(mult(mult(b, a), b), mult(mult(a, c), a)) = mult(mult(b, a), mult(mult(mult(a, c), a), b)))),
% 5.68/5.91 inference(modus_ponens,[status(thm)],[11630, 11628])).
% 5.68/5.91 tff(11632,plain,
% 5.68/5.91 (((~(mult(mult(mult(b, a), b), mult(mult(a, c), a)) = mult(mult(b, a), mult(mult(mult(a, c), a), b)))) | (~(mult(mult(mult(b, a), mult(mult(a, c), a)), b) = mult(mult(b, a), mult(b, mult(mult(a, c), a)))))) | (mult(mult(mult(b, a), b), mult(mult(a, c), a)) = mult(mult(b, a), mult(mult(mult(a, c), a), b)))),
% 5.68/5.91 inference(tautology,[status(thm)],[])).
% 5.68/5.91 tff(11633,plain,
% 5.68/5.91 ((~(mult(mult(mult(b, a), b), mult(mult(a, c), a)) = mult(mult(b, a), mult(mult(mult(a, c), a), b)))) | (~(mult(mult(mult(b, a), mult(mult(a, c), a)), b) = mult(mult(b, a), mult(b, mult(mult(a, c), a)))))),
% 5.68/5.91 inference(unit_resolution,[status(thm)],[11632, 11631])).
% 5.68/5.91 tff(11634,plain,
% 5.68/5.91 (((~![X0: $i, X1: $i, X2: $i] : ((~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X2, X1)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X1, X2)))))) | (~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X1, X2)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X2, X1)))))))) | ((~((~(mult(mult(mult(b, a), b), mult(mult(a, c), a)) = mult(mult(b, a), mult(b, mult(mult(a, c), a))))) | (~(mult(mult(mult(b, a), mult(mult(a, c), a)), b) = mult(mult(b, a), mult(mult(mult(a, c), a), b)))))) | (~((~(mult(mult(mult(b, a), b), mult(mult(a, c), a)) = mult(mult(b, a), mult(mult(mult(a, c), a), b)))) | (~(mult(mult(mult(b, a), mult(mult(a, c), a)), b) = mult(mult(b, a), mult(b, mult(mult(a, c), a))))))))) <=> ((~![X0: $i, X1: $i, X2: $i] : ((~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X2, X1)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X1, X2)))))) | (~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X1, X2)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X2, X1)))))))) | (~((~(mult(mult(mult(b, a), b), mult(mult(a, c), a)) = mult(mult(b, a), mult(b, mult(mult(a, c), a))))) | (~(mult(mult(mult(b, a), mult(mult(a, c), a)), b) = mult(mult(b, a), mult(mult(mult(a, c), a), b)))))) | (~((~(mult(mult(mult(b, a), b), mult(mult(a, c), a)) = mult(mult(b, a), mult(mult(mult(a, c), a), b)))) | (~(mult(mult(mult(b, a), mult(mult(a, c), a)), b) = mult(mult(b, a), mult(b, mult(mult(a, c), a))))))))),
% 5.68/5.91 inference(rewrite,[status(thm)],[])).
% 5.68/5.91 tff(11635,plain,
% 5.68/5.91 (((~((~(mult(mult(mult(b, a), b), mult(mult(a, c), a)) = mult(mult(b, a), mult(mult(mult(a, c), a), b)))) | (~(mult(mult(mult(b, a), mult(mult(a, c), a)), b) = mult(mult(b, a), mult(b, mult(mult(a, c), a))))))) | (~((~(mult(mult(mult(b, a), b), mult(mult(a, c), a)) = mult(mult(b, a), mult(b, mult(mult(a, c), a))))) | (~(mult(mult(mult(b, a), mult(mult(a, c), a)), b) = mult(mult(b, a), mult(mult(mult(a, c), a), b))))))) <=> ((~((~(mult(mult(mult(b, a), b), mult(mult(a, c), a)) = mult(mult(b, a), mult(b, mult(mult(a, c), a))))) | (~(mult(mult(mult(b, a), mult(mult(a, c), a)), b) = mult(mult(b, a), mult(mult(mult(a, c), a), b)))))) | (~((~(mult(mult(mult(b, a), b), mult(mult(a, c), a)) = mult(mult(b, a), mult(mult(mult(a, c), a), b)))) | (~(mult(mult(mult(b, a), mult(mult(a, c), a)), b) = mult(mult(b, a), mult(b, mult(mult(a, c), a))))))))),
% 5.68/5.91 inference(rewrite,[status(thm)],[])).
% 5.68/5.91 tff(11636,plain,
% 5.68/5.91 (((~![X0: $i, X1: $i, X2: $i] : ((~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X2, X1)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X1, X2)))))) | (~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X1, X2)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X2, X1)))))))) | ((~((~(mult(mult(mult(b, a), b), mult(mult(a, c), a)) = mult(mult(b, a), mult(mult(mult(a, c), a), b)))) | (~(mult(mult(mult(b, a), mult(mult(a, c), a)), b) = mult(mult(b, a), mult(b, mult(mult(a, c), a))))))) | (~((~(mult(mult(mult(b, a), b), mult(mult(a, c), a)) = mult(mult(b, a), mult(b, mult(mult(a, c), a))))) | (~(mult(mult(mult(b, a), mult(mult(a, c), a)), b) = mult(mult(b, a), mult(mult(mult(a, c), a), b)))))))) <=> ((~![X0: $i, X1: $i, X2: $i] : ((~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X2, X1)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X1, X2)))))) | (~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X1, X2)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X2, X1)))))))) | ((~((~(mult(mult(mult(b, a), b), mult(mult(a, c), a)) = mult(mult(b, a), mult(b, mult(mult(a, c), a))))) | (~(mult(mult(mult(b, a), mult(mult(a, c), a)), b) = mult(mult(b, a), mult(mult(mult(a, c), a), b)))))) | (~((~(mult(mult(mult(b, a), b), mult(mult(a, c), a)) = mult(mult(b, a), mult(mult(mult(a, c), a), b)))) | (~(mult(mult(mult(b, a), mult(mult(a, c), a)), b) = mult(mult(b, a), mult(b, mult(mult(a, c), a)))))))))),
% 5.68/5.91 inference(monotonicity,[status(thm)],[11635])).
% 5.68/5.91 tff(11637,plain,
% 5.68/5.91 (((~![X0: $i, X1: $i, X2: $i] : ((~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X2, X1)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X1, X2)))))) | (~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X1, X2)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X2, X1)))))))) | ((~((~(mult(mult(mult(b, a), b), mult(mult(a, c), a)) = mult(mult(b, a), mult(mult(mult(a, c), a), b)))) | (~(mult(mult(mult(b, a), mult(mult(a, c), a)), b) = mult(mult(b, a), mult(b, mult(mult(a, c), a))))))) | (~((~(mult(mult(mult(b, a), b), mult(mult(a, c), a)) = mult(mult(b, a), mult(b, mult(mult(a, c), a))))) | (~(mult(mult(mult(b, a), mult(mult(a, c), a)), b) = mult(mult(b, a), mult(mult(mult(a, c), a), b)))))))) <=> ((~![X0: $i, X1: $i, X2: $i] : ((~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X2, X1)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X1, X2)))))) | (~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X1, X2)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X2, X1)))))))) | (~((~(mult(mult(mult(b, a), b), mult(mult(a, c), a)) = mult(mult(b, a), mult(b, mult(mult(a, c), a))))) | (~(mult(mult(mult(b, a), mult(mult(a, c), a)), b) = mult(mult(b, a), mult(mult(mult(a, c), a), b)))))) | (~((~(mult(mult(mult(b, a), b), mult(mult(a, c), a)) = mult(mult(b, a), mult(mult(mult(a, c), a), b)))) | (~(mult(mult(mult(b, a), mult(mult(a, c), a)), b) = mult(mult(b, a), mult(b, mult(mult(a, c), a))))))))),
% 5.68/5.91 inference(transitivity,[status(thm)],[11636, 11634])).
% 5.68/5.91 tff(11638,plain,
% 5.68/5.91 ((~![X0: $i, X1: $i, X2: $i] : ((~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X2, X1)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X1, X2)))))) | (~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X1, X2)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X2, X1)))))))) | ((~((~(mult(mult(mult(b, a), b), mult(mult(a, c), a)) = mult(mult(b, a), mult(mult(mult(a, c), a), b)))) | (~(mult(mult(mult(b, a), mult(mult(a, c), a)), b) = mult(mult(b, a), mult(b, mult(mult(a, c), a))))))) | (~((~(mult(mult(mult(b, a), b), mult(mult(a, c), a)) = mult(mult(b, a), mult(b, mult(mult(a, c), a))))) | (~(mult(mult(mult(b, a), mult(mult(a, c), a)), b) = mult(mult(b, a), mult(mult(mult(a, c), a), b)))))))),
% 5.68/5.91 inference(quant_inst,[status(thm)],[])).
% 5.68/5.91 tff(11639,plain,
% 5.68/5.91 ((~![X0: $i, X1: $i, X2: $i] : ((~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X2, X1)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X1, X2)))))) | (~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X1, X2)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X2, X1)))))))) | (~((~(mult(mult(mult(b, a), b), mult(mult(a, c), a)) = mult(mult(b, a), mult(b, mult(mult(a, c), a))))) | (~(mult(mult(mult(b, a), mult(mult(a, c), a)), b) = mult(mult(b, a), mult(mult(mult(a, c), a), b)))))) | (~((~(mult(mult(mult(b, a), b), mult(mult(a, c), a)) = mult(mult(b, a), mult(mult(mult(a, c), a), b)))) | (~(mult(mult(mult(b, a), mult(mult(a, c), a)), b) = mult(mult(b, a), mult(b, mult(mult(a, c), a)))))))),
% 5.68/5.91 inference(modus_ponens,[status(thm)],[11638, 11637])).
% 5.68/5.91 tff(11640,plain,
% 5.68/5.91 ((~((~(mult(mult(mult(b, a), b), mult(mult(a, c), a)) = mult(mult(b, a), mult(b, mult(mult(a, c), a))))) | (~(mult(mult(mult(b, a), mult(mult(a, c), a)), b) = mult(mult(b, a), mult(mult(mult(a, c), a), b)))))) | (~((~(mult(mult(mult(b, a), b), mult(mult(a, c), a)) = mult(mult(b, a), mult(mult(mult(a, c), a), b)))) | (~(mult(mult(mult(b, a), mult(mult(a, c), a)), b) = mult(mult(b, a), mult(b, mult(mult(a, c), a)))))))),
% 5.68/5.91 inference(unit_resolution,[status(thm)],[11639, 30])).
% 5.68/5.91 tff(11641,plain,
% 5.68/5.91 (~((~(mult(mult(mult(b, a), b), mult(mult(a, c), a)) = mult(mult(b, a), mult(b, mult(mult(a, c), a))))) | (~(mult(mult(mult(b, a), mult(mult(a, c), a)), b) = mult(mult(b, a), mult(mult(mult(a, c), a), b)))))),
% 5.68/5.91 inference(unit_resolution,[status(thm)],[11640, 11633])).
% 5.68/5.91 tff(11642,plain,
% 5.68/5.91 (((~(mult(mult(mult(b, a), b), mult(mult(a, c), a)) = mult(mult(b, a), mult(b, mult(mult(a, c), a))))) | (~(mult(mult(mult(b, a), mult(mult(a, c), a)), b) = mult(mult(b, a), mult(mult(mult(a, c), a), b))))) | (mult(mult(mult(b, a), b), mult(mult(a, c), a)) = mult(mult(b, a), mult(b, mult(mult(a, c), a))))),
% 5.68/5.91 inference(tautology,[status(thm)],[])).
% 5.68/5.91 tff(11643,plain,
% 5.68/5.91 (mult(mult(mult(b, a), b), mult(mult(a, c), a)) = mult(mult(b, a), mult(b, mult(mult(a, c), a)))),
% 5.68/5.91 inference(unit_resolution,[status(thm)],[11642, 11641])).
% 5.68/5.91 tff(11644,plain,
% 5.68/5.91 (mult(mult(b, mult(a, b)), mult(mult(a, c), a)) = mult(mult(mult(b, a), b), mult(mult(a, c), a))),
% 5.68/5.91 inference(symmetry,[status(thm)],[11623])).
% 5.68/5.91 tff(11645,plain,
% 5.68/5.91 (mult(b, mult(mult(mult(a, c), a), mult(a, b))) = mult(mult(b, mult(a, b)), mult(mult(a, c), a))),
% 5.68/5.91 inference(symmetry,[status(thm)],[11619])).
% 5.68/5.91 tff(11646,plain,
% 5.68/5.91 (mult(mult(b, a), mult(mult(mult(c, a), b), a)) = mult(mult(mult(b, a), mult(mult(c, a), b)), a)),
% 5.68/5.91 inference(symmetry,[status(thm)],[11608])).
% 5.68/5.91 tff(11647,plain,
% 5.68/5.91 (mult(mult(b, a), mult(c, mult(mult(a, b), a))) = mult(mult(b, a), mult(mult(b, a), mult(a, c)))),
% 5.68/5.91 inference(transitivity,[status(thm)],[11223, 11646, 11157, 11313, 11645, 11644, 11643, 11308])).
% 5.68/5.91 tff(11648,plain,
% 5.68/5.91 (ld(mult(b, a), mult(mult(b, a), mult(c, mult(mult(a, b), a)))) = ld(mult(b, a), mult(mult(b, a), mult(mult(b, a), mult(a, c))))),
% 5.68/5.91 inference(monotonicity,[status(thm)],[11647])).
% 5.68/5.91 tff(11649,plain,
% 5.68/5.91 (ld(mult(b, a), mult(mult(b, a), mult(mult(b, a), mult(a, c)))) = ld(mult(b, a), mult(mult(b, a), mult(c, mult(mult(a, b), a))))),
% 5.68/5.91 inference(symmetry,[status(thm)],[11648])).
% 5.68/5.91 tff(11650,plain,
% 5.68/5.91 (mult(mult(b, a), mult(a, c)) = mult(mult(mult(c, a), b), a)),
% 5.68/5.91 inference(transitivity,[status(thm)],[11270, 11649, 11130, 2808])).
% 5.68/5.91 tff(11651,plain,
% 5.68/5.91 (mult(a, mult(mult(b, a), mult(a, c))) = mult(a, mult(mult(mult(c, a), b), a))),
% 5.68/5.91 inference(monotonicity,[status(thm)],[11650])).
% 5.68/5.91 tff(11652,plain,
% 5.68/5.91 (mult(a, mult(mult(mult(c, a), b), a)) = mult(a, mult(mult(b, a), mult(a, c)))),
% 5.68/5.91 inference(symmetry,[status(thm)],[11651])).
% 5.68/5.91 tff(11653,plain,
% 5.68/5.91 (mult(mult(mult(a, c), a), mult(a, b)) = mult(mult(mult(mult(a, b), a), c), a)),
% 5.68/5.91 inference(transitivity,[status(thm)],[10864, 10783, 10777, 11652, 11306, 11305, 11017, 11097])).
% 5.68/5.91 tff(11654,plain,
% 5.68/5.91 (mult(b, mult(mult(mult(a, c), a), mult(a, b))) = mult(b, mult(mult(mult(mult(a, b), a), c), a))),
% 5.68/5.91 inference(monotonicity,[status(thm)],[11653])).
% 5.68/5.91 tff(11655,plain,
% 5.68/5.91 (mult(b, mult(mult(mult(mult(a, b), a), c), a)) = mult(b, mult(mult(mult(a, c), a), mult(a, b)))),
% 5.68/5.91 inference(symmetry,[status(thm)],[11654])).
% 5.68/5.91 tff(11656,plain,
% 5.68/5.91 (mult(mult(b, mult(mult(a, c), a)), mult(a, b)) = mult(b, mult(mult(a, b), mult(mult(a, c), a)))),
% 5.68/5.91 inference(unit_resolution,[status(thm)],[11530, 11617])).
% 5.68/5.91 tff(11657,plain,
% 5.68/5.91 (mult(mult(b, mult(mult(a, c), a)), mult(a, b)) = mult(b, mult(mult(mult(a, c), a), mult(a, b)))),
% 5.68/5.91 inference(transitivity,[status(thm)],[11656, 11582, 11655])).
% 5.68/5.91 tff(11658,plain,
% 5.68/5.91 ($false),
% 5.68/5.91 inference(unit_resolution,[status(thm)],[11615, 11657])).
% 5.68/5.91 tff(11659,plain,((mult(mult(mult(b, a), mult(a, c)), mult(b, a)) = mult(mult(b, a), mult(mult(b, a), mult(a, c)))) | (~(mult(mult(mult(a, b), a), mult(a, c)) = mult(mult(a, b), mult(mult(a, c), a)))) | (~(mult(mult(a, mult(b, a)), mult(a, c)) = mult(a, mult(mult(b, a), mult(a, c))))) | (~(mult(mult(mult(a, c), a), mult(a, b)) = mult(mult(a, c), mult(mult(a, b), a)))) | (~(mult(mult(a, c), mult(mult(a, b), a)) = mult(a, mult(c, mult(mult(a, b), a))))) | (~(mult(mult(b, mult(a, b)), a) = mult(b, mult(mult(a, b), a)))) | (~(mult(mult(c, a), b) = mult(c, mult(b, a)))) | (~(mult(mult(mult(a, c), a), b) = mult(mult(a, c), mult(b, a)))) | (~(mult(mult(mult(mult(b, a), mult(a, c)), b), a) = mult(mult(mult(b, a), mult(a, c)), mult(a, b)))) | (mult(mult(a, mult(b, mult(c, a))), a) = mult(a, mult(a, mult(b, mult(c, a))))) | (~(mult(mult(mult(b, a), b), a) = mult(mult(b, a), mult(b, a)))) | (~(mult(mult(a, b), mult(c, a)) = mult(a, mult(b, mult(c, a))))) | (mult(mult(mult(b, mult(c, a)), a), mult(b, a)) = mult(mult(b, mult(c, a)), mult(a, mult(b, a)))) | (~(mult(mult(mult(mult(b, a), mult(a, c)), a), b) = mult(mult(mult(b, a), mult(a, c)), mult(b, a)))) | (~(mult(mult(a, mult(mult(b, c), a)), a) = mult(a, mult(mult(mult(b, c), a), a)))) | (~(mult(mult(mult(mult(mult(a, b), c), a), b), a) = mult(mult(mult(mult(a, b), c), a), mult(a, b)))) | (~(mult(mult(a, b), mult(a, mult(a, c))) = mult(a, mult(b, mult(a, mult(a, c)))))) | (~(mult(mult(mult(mult(mult(a, c), mult(b, a)), mult(a, c)), b), a) = mult(mult(mult(mult(a, c), mult(b, a)), mult(a, c)), mult(b, a)))) | (~(mult(mult(mult(a, b), c), a) = mult(mult(a, b), mult(a, c))))), inference(lemma,lemma(discharge,[]))).
% 5.68/5.92 tff(11660,plain,
% 5.68/5.92 (mult(mult(mult(b, a), mult(a, c)), mult(b, a)) = mult(mult(b, a), mult(mult(b, a), mult(a, c)))),
% 5.68/5.92 inference(unit_resolution,[status(thm)],[11659, 11120, 11017, 6854, 11031, 11026, 342, 1362, 11303, 11027, 11025, 754, 11279, 11286, 11302, 11299, 10565, 11290, 168])).
% 5.68/5.92 tff(11661,assumption,(~(mult(mult(mult(a, c), mult(b, a)), mult(mult(b, a), mult(a, c))) = mult(mult(a, c), mult(mult(mult(b, a), mult(a, c)), mult(b, a))))), introduced(assumption)).
% 5.68/5.92 tff(11662,plain,
% 5.68/5.92 (((~(mult(mult(mult(a, c), mult(b, a)), mult(mult(b, a), mult(a, c))) = mult(mult(a, c), mult(mult(mult(b, a), mult(a, c)), mult(b, a))))) | (~(mult(mult(mult(a, c), mult(mult(b, a), mult(a, c))), mult(b, a)) = mult(mult(a, c), mult(mult(b, a), mult(mult(b, a), mult(a, c))))))) | (mult(mult(mult(a, c), mult(b, a)), mult(mult(b, a), mult(a, c))) = mult(mult(a, c), mult(mult(mult(b, a), mult(a, c)), mult(b, a))))),
% 5.68/5.92 inference(tautology,[status(thm)],[])).
% 5.68/5.92 tff(11663,plain,
% 5.68/5.92 ((~(mult(mult(mult(a, c), mult(b, a)), mult(mult(b, a), mult(a, c))) = mult(mult(a, c), mult(mult(mult(b, a), mult(a, c)), mult(b, a))))) | (~(mult(mult(mult(a, c), mult(mult(b, a), mult(a, c))), mult(b, a)) = mult(mult(a, c), mult(mult(b, a), mult(mult(b, a), mult(a, c))))))),
% 5.68/5.92 inference(unit_resolution,[status(thm)],[11662, 11661])).
% 5.68/5.92 tff(11664,plain,
% 5.68/5.92 (~((~(mult(mult(mult(a, c), mult(mult(b, a), mult(a, c))), mult(b, a)) = mult(mult(a, c), mult(mult(mult(b, a), mult(a, c)), mult(b, a))))) | (~(mult(mult(mult(a, c), mult(b, a)), mult(mult(b, a), mult(a, c))) = mult(mult(a, c), mult(mult(b, a), mult(mult(b, a), mult(a, c)))))))),
% 5.68/5.92 inference(unit_resolution,[status(thm)],[8751, 11663])).
% 5.68/5.92 tff(11665,plain,
% 5.68/5.92 (((~(mult(mult(mult(a, c), mult(mult(b, a), mult(a, c))), mult(b, a)) = mult(mult(a, c), mult(mult(mult(b, a), mult(a, c)), mult(b, a))))) | (~(mult(mult(mult(a, c), mult(b, a)), mult(mult(b, a), mult(a, c))) = mult(mult(a, c), mult(mult(b, a), mult(mult(b, a), mult(a, c))))))) | (mult(mult(mult(a, c), mult(b, a)), mult(mult(b, a), mult(a, c))) = mult(mult(a, c), mult(mult(b, a), mult(mult(b, a), mult(a, c)))))),
% 5.68/5.92 inference(tautology,[status(thm)],[])).
% 5.68/5.92 tff(11666,plain,
% 5.68/5.92 (mult(mult(mult(a, c), mult(b, a)), mult(mult(b, a), mult(a, c))) = mult(mult(a, c), mult(mult(b, a), mult(mult(b, a), mult(a, c))))),
% 5.68/5.92 inference(unit_resolution,[status(thm)],[11665, 11664])).
% 5.68/5.92 tff(11667,plain,
% 5.68/5.92 (mult(mult(mult(a, c), mult(b, a)), mult(mult(b, a), mult(a, c))) = mult(mult(a, c), mult(mult(mult(b, a), mult(a, c)), mult(b, a)))),
% 5.68/5.92 inference(transitivity,[status(thm)],[11666, 8737])).
% 5.68/5.92 tff(11668,plain,
% 5.68/5.92 ($false),
% 5.68/5.92 inference(unit_resolution,[status(thm)],[11661, 11667])).
% 5.68/5.92 tff(11669,plain,((~(mult(mult(mult(b, a), mult(a, c)), mult(b, a)) = mult(mult(b, a), mult(mult(b, a), mult(a, c))))) | (mult(mult(mult(a, c), mult(b, a)), mult(mult(b, a), mult(a, c))) = mult(mult(a, c), mult(mult(mult(b, a), mult(a, c)), mult(b, a))))), inference(lemma,lemma(discharge,[]))).
% 5.68/5.92 tff(11670,plain,
% 5.68/5.92 (mult(mult(mult(a, c), mult(b, a)), mult(mult(b, a), mult(a, c))) = mult(mult(a, c), mult(mult(mult(b, a), mult(a, c)), mult(b, a)))),
% 5.68/5.92 inference(unit_resolution,[status(thm)],[11669, 11660])).
% 5.68/5.92 tff(11671,plain,
% 5.68/5.92 ((~![B: $i, A: $i] : (ld(A, mult(A, B)) = B)) | (ld(mult(a, mult(mult(c, a), b)), mult(mult(a, mult(mult(c, a), b)), mult(c, mult(mult(a, b), a)))) = mult(c, mult(mult(a, b), a)))),
% 5.68/5.92 inference(quant_inst,[status(thm)],[])).
% 5.68/5.92 tff(11672,plain,
% 5.68/5.92 (ld(mult(a, mult(mult(c, a), b)), mult(mult(a, mult(mult(c, a), b)), mult(c, mult(mult(a, b), a)))) = mult(c, mult(mult(a, b), a))),
% 5.68/5.92 inference(unit_resolution,[status(thm)],[11671, 9])).
% 5.68/5.92 tff(11673,plain,
% 5.68/5.92 (mult(mult(a, mult(mult(c, a), b)), mult(mult(b, a), mult(a, c))) = mult(mult(mult(a, c), mult(b, a)), mult(mult(b, a), mult(a, c)))),
% 5.68/5.92 inference(monotonicity,[status(thm)],[11070])).
% 5.68/5.92 tff(11674,plain,
% 5.68/5.92 (mult(mult(mult(a, c), mult(b, a)), mult(mult(b, a), mult(a, c))) = mult(mult(a, mult(mult(c, a), b)), mult(mult(b, a), mult(a, c)))),
% 5.68/5.92 inference(symmetry,[status(thm)],[11673])).
% 5.68/5.92 tff(11675,assumption,(mult(mult(mult(a, c), mult(b, a)), mult(mult(b, a), mult(a, c))) = mult(mult(a, c), mult(mult(mult(b, a), mult(a, c)), mult(b, a)))), introduced(assumption)).
% 5.68/5.92 tff(11676,plain,
% 5.68/5.92 (mult(mult(a, c), mult(mult(mult(b, a), mult(a, c)), mult(b, a))) = mult(mult(mult(a, c), mult(b, a)), mult(mult(b, a), mult(a, c)))),
% 5.68/5.92 inference(symmetry,[status(thm)],[11675])).
% 5.68/5.92 tff(11677,assumption,(mult(mult(mult(mult(a, c), mult(b, a)), c), a) = mult(mult(mult(a, c), mult(b, a)), mult(a, c))), introduced(assumption)).
% 5.68/5.92 tff(11678,plain,
% 5.68/5.92 (mult(mult(mult(mult(mult(a, c), mult(b, a)), c), a), b) = mult(mult(mult(mult(a, c), mult(b, a)), mult(a, c)), b)),
% 5.68/5.92 inference(monotonicity,[status(thm)],[11677])).
% 5.68/5.92 tff(11679,plain,
% 5.68/5.92 (mult(mult(mult(mult(mult(mult(a, c), mult(b, a)), c), a), b), a) = mult(mult(mult(mult(mult(a, c), mult(b, a)), mult(a, c)), b), a)),
% 5.68/5.92 inference(monotonicity,[status(thm)],[11678])).
% 5.68/5.92 tff(11680,plain,
% 5.68/5.92 ((~![C: $i, B: $i, A: $i] : (mult(mult(mult(A, B), C), B) = mult(A, mult(mult(B, C), B)))) | (mult(mult(mult(mult(mult(mult(a, c), mult(b, a)), c), a), b), a) = mult(mult(mult(mult(a, c), mult(b, a)), c), mult(mult(a, b), a)))),
% 5.68/5.92 inference(quant_inst,[status(thm)],[])).
% 5.68/5.92 tff(11681,plain,
% 5.68/5.92 (mult(mult(mult(mult(mult(mult(a, c), mult(b, a)), c), a), b), a) = mult(mult(mult(mult(a, c), mult(b, a)), c), mult(mult(a, b), a))),
% 5.68/5.92 inference(unit_resolution,[status(thm)],[11680, 860])).
% 5.68/5.92 tff(11682,plain,
% 5.68/5.92 (mult(mult(mult(mult(a, c), mult(b, a)), c), mult(mult(a, b), a)) = mult(mult(mult(mult(mult(mult(a, c), mult(b, a)), c), a), b), a)),
% 5.68/5.92 inference(symmetry,[status(thm)],[11681])).
% 5.68/5.92 tff(11683,plain,
% 5.68/5.92 (mult(mult(a, mult(mult(c, a), b)), c) = mult(mult(mult(a, c), mult(b, a)), c)),
% 5.68/5.92 inference(monotonicity,[status(thm)],[11070])).
% 5.68/5.92 tff(11684,plain,
% 5.68/5.92 (mult(mult(mult(a, mult(mult(c, a), b)), c), mult(mult(a, b), a)) = mult(mult(mult(mult(a, c), mult(b, a)), c), mult(mult(a, b), a))),
% 5.68/5.92 inference(monotonicity,[status(thm)],[11683])).
% 5.68/5.92 tff(11685,plain,
% 5.68/5.92 ((~![B: $i, A: $i] : (ld(A, mult(A, B)) = B)) | (ld(mult(a, mult(mult(c, a), b)), mult(mult(a, mult(mult(c, a), b)), mult(mult(mult(a, b), a), c))) = mult(mult(mult(a, b), a), c))),
% 5.68/5.92 inference(quant_inst,[status(thm)],[])).
% 5.68/5.92 tff(11686,plain,
% 5.68/5.92 (ld(mult(a, mult(mult(c, a), b)), mult(mult(a, mult(mult(c, a), b)), mult(mult(mult(a, b), a), c))) = mult(mult(mult(a, b), a), c)),
% 5.68/5.92 inference(unit_resolution,[status(thm)],[11685, 9])).
% 5.68/5.92 tff(11687,assumption,(mult(mult(mult(a, mult(mult(c, a), b)), c), mult(mult(a, b), a)) = mult(mult(a, mult(mult(c, a), b)), mult(mult(mult(a, b), a), c))), introduced(assumption)).
% 5.68/5.92 tff(11688,plain,
% 5.68/5.92 (mult(mult(a, mult(mult(c, a), b)), mult(mult(mult(a, b), a), c)) = mult(mult(mult(a, mult(mult(c, a), b)), c), mult(mult(a, b), a))),
% 5.68/5.92 inference(symmetry,[status(thm)],[11687])).
% 5.68/5.92 tff(11689,plain,
% 5.68/5.92 (mult(mult(a, mult(mult(c, a), b)), mult(mult(mult(a, b), a), c)) = mult(mult(a, mult(mult(c, a), b)), mult(mult(b, a), mult(a, c)))),
% 5.68/5.92 inference(transitivity,[status(thm)],[11688, 11684, 11682, 11679, 6785, 7198, 11676, 11674])).
% 5.68/5.92 tff(11690,plain,
% 5.68/5.92 (ld(mult(a, mult(mult(c, a), b)), mult(mult(a, mult(mult(c, a), b)), mult(mult(mult(a, b), a), c))) = ld(mult(a, mult(mult(c, a), b)), mult(mult(a, mult(mult(c, a), b)), mult(mult(b, a), mult(a, c))))),
% 5.68/5.92 inference(monotonicity,[status(thm)],[11689])).
% 5.68/5.92 tff(11691,plain,
% 5.68/5.92 (ld(mult(a, mult(mult(c, a), b)), mult(mult(a, mult(mult(c, a), b)), mult(mult(b, a), mult(a, c)))) = ld(mult(a, mult(mult(c, a), b)), mult(mult(a, mult(mult(c, a), b)), mult(mult(mult(a, b), a), c)))),
% 5.68/5.92 inference(symmetry,[status(thm)],[11690])).
% 5.68/5.92 tff(11692,plain,
% 5.68/5.92 ((~![B: $i, A: $i] : (ld(A, mult(A, B)) = B)) | (ld(mult(a, mult(mult(c, a), b)), mult(mult(a, mult(mult(c, a), b)), mult(mult(b, a), mult(a, c)))) = mult(mult(b, a), mult(a, c)))),
% 5.68/5.92 inference(quant_inst,[status(thm)],[])).
% 5.68/5.92 tff(11693,plain,
% 5.68/5.92 (ld(mult(a, mult(mult(c, a), b)), mult(mult(a, mult(mult(c, a), b)), mult(mult(b, a), mult(a, c)))) = mult(mult(b, a), mult(a, c))),
% 5.68/5.92 inference(unit_resolution,[status(thm)],[11692, 9])).
% 5.68/5.92 tff(11694,plain,
% 5.68/5.92 (mult(mult(b, a), mult(a, c)) = ld(mult(a, mult(mult(c, a), b)), mult(mult(a, mult(mult(c, a), b)), mult(mult(b, a), mult(a, c))))),
% 5.68/5.92 inference(symmetry,[status(thm)],[11693])).
% 5.68/5.92 tff(11695,plain,
% 5.68/5.92 (mult(mult(b, a), mult(a, c)) = mult(mult(mult(a, b), a), c)),
% 5.68/5.92 inference(transitivity,[status(thm)],[11694, 11691, 11686])).
% 5.68/5.92 tff(11696,plain,
% 5.68/5.92 (mult(a, mult(mult(b, a), mult(a, c))) = mult(a, mult(mult(mult(a, b), a), c))),
% 5.68/5.92 inference(monotonicity,[status(thm)],[11695])).
% 5.68/5.92 tff(11697,plain,
% 5.68/5.92 (mult(mult(a, mult(b, mult(c, a))), a) = mult(a, mult(a, mult(b, mult(c, a))))),
% 5.68/5.92 inference(transitivity,[status(thm)],[11093, 11096, 11018, 11304, 11249, 11696, 11100])).
% 5.68/5.92 tff(11698,plain,
% 5.68/5.92 ($false),
% 5.68/5.92 inference(unit_resolution,[status(thm)],[11027, 11697])).
% 5.68/5.92 tff(11699,plain,((~(mult(mult(mult(a, mult(mult(c, a), b)), c), mult(mult(a, b), a)) = mult(mult(a, mult(mult(c, a), b)), mult(mult(mult(a, b), a), c)))) | (mult(mult(a, mult(b, mult(c, a))), a) = mult(a, mult(a, mult(b, mult(c, a))))) | (~(mult(mult(mult(a, b), a), mult(a, c)) = mult(mult(a, b), mult(mult(a, c), a)))) | (~(mult(mult(a, mult(b, a)), mult(a, c)) = mult(a, mult(mult(b, a), mult(a, c))))) | (~(mult(mult(mult(mult(mult(a, c), mult(b, a)), mult(a, c)), b), a) = mult(mult(mult(mult(a, c), mult(b, a)), mult(a, c)), mult(b, a)))) | (~(mult(mult(mult(a, c), mult(b, a)), mult(mult(b, a), mult(a, c))) = mult(mult(a, c), mult(mult(mult(b, a), mult(a, c)), mult(b, a))))) | (~(mult(mult(c, a), b) = mult(c, mult(b, a)))) | (~(mult(mult(mult(mult(a, c), mult(b, a)), c), a) = mult(mult(mult(a, c), mult(b, a)), mult(a, c)))) | (~(mult(mult(a, b), mult(c, a)) = mult(a, mult(b, mult(c, a)))))), inference(lemma,lemma(discharge,[]))).
% 5.68/5.92 tff(11700,plain,
% 5.68/5.92 (~(mult(mult(mult(a, mult(mult(c, a), b)), c), mult(mult(a, b), a)) = mult(mult(a, mult(mult(c, a), b)), mult(mult(mult(a, b), a), c)))),
% 5.68/5.92 inference(unit_resolution,[status(thm)],[11699, 11675, 11017, 11249, 6785, 11027, 342, 11677, 754])).
% 5.68/5.92 tff(11701,plain,
% 5.68/5.92 (((~(mult(mult(mult(a, mult(mult(c, a), b)), mult(mult(a, b), a)), c) = mult(mult(a, mult(mult(c, a), b)), mult(c, mult(mult(a, b), a))))) | (~(mult(mult(mult(a, mult(mult(c, a), b)), c), mult(mult(a, b), a)) = mult(mult(a, mult(mult(c, a), b)), mult(mult(mult(a, b), a), c))))) | (mult(mult(mult(a, mult(mult(c, a), b)), c), mult(mult(a, b), a)) = mult(mult(a, mult(mult(c, a), b)), mult(mult(mult(a, b), a), c)))),
% 5.68/5.92 inference(tautology,[status(thm)],[])).
% 5.68/5.92 tff(11702,plain,
% 5.68/5.92 ((~(mult(mult(mult(a, mult(mult(c, a), b)), mult(mult(a, b), a)), c) = mult(mult(a, mult(mult(c, a), b)), mult(c, mult(mult(a, b), a))))) | (~(mult(mult(mult(a, mult(mult(c, a), b)), c), mult(mult(a, b), a)) = mult(mult(a, mult(mult(c, a), b)), mult(mult(mult(a, b), a), c))))),
% 5.68/5.92 inference(unit_resolution,[status(thm)],[11701, 11700])).
% 5.68/5.92 tff(11703,plain,
% 5.68/5.92 (((~![X0: $i, X1: $i, X2: $i] : ((~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X2, X1)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X1, X2)))))) | (~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X1, X2)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X2, X1)))))))) | ((~((~(mult(mult(mult(a, mult(mult(c, a), b)), mult(mult(a, b), a)), c) = mult(mult(a, mult(mult(c, a), b)), mult(c, mult(mult(a, b), a))))) | (~(mult(mult(mult(a, mult(mult(c, a), b)), c), mult(mult(a, b), a)) = mult(mult(a, mult(mult(c, a), b)), mult(mult(mult(a, b), a), c)))))) | (~((~(mult(mult(mult(a, mult(mult(c, a), b)), mult(mult(a, b), a)), c) = mult(mult(a, mult(mult(c, a), b)), mult(mult(mult(a, b), a), c)))) | (~(mult(mult(mult(a, mult(mult(c, a), b)), c), mult(mult(a, b), a)) = mult(mult(a, mult(mult(c, a), b)), mult(c, mult(mult(a, b), a))))))))) <=> ((~![X0: $i, X1: $i, X2: $i] : ((~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X2, X1)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X1, X2)))))) | (~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X1, X2)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X2, X1)))))))) | (~((~(mult(mult(mult(a, mult(mult(c, a), b)), mult(mult(a, b), a)), c) = mult(mult(a, mult(mult(c, a), b)), mult(c, mult(mult(a, b), a))))) | (~(mult(mult(mult(a, mult(mult(c, a), b)), c), mult(mult(a, b), a)) = mult(mult(a, mult(mult(c, a), b)), mult(mult(mult(a, b), a), c)))))) | (~((~(mult(mult(mult(a, mult(mult(c, a), b)), mult(mult(a, b), a)), c) = mult(mult(a, mult(mult(c, a), b)), mult(mult(mult(a, b), a), c)))) | (~(mult(mult(mult(a, mult(mult(c, a), b)), c), mult(mult(a, b), a)) = mult(mult(a, mult(mult(c, a), b)), mult(c, mult(mult(a, b), a))))))))),
% 5.68/5.93 inference(rewrite,[status(thm)],[])).
% 5.68/5.93 tff(11704,plain,
% 5.68/5.93 ((~![X0: $i, X1: $i, X2: $i] : ((~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X2, X1)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X1, X2)))))) | (~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X1, X2)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X2, X1)))))))) | ((~((~(mult(mult(mult(a, mult(mult(c, a), b)), mult(mult(a, b), a)), c) = mult(mult(a, mult(mult(c, a), b)), mult(c, mult(mult(a, b), a))))) | (~(mult(mult(mult(a, mult(mult(c, a), b)), c), mult(mult(a, b), a)) = mult(mult(a, mult(mult(c, a), b)), mult(mult(mult(a, b), a), c)))))) | (~((~(mult(mult(mult(a, mult(mult(c, a), b)), mult(mult(a, b), a)), c) = mult(mult(a, mult(mult(c, a), b)), mult(mult(mult(a, b), a), c)))) | (~(mult(mult(mult(a, mult(mult(c, a), b)), c), mult(mult(a, b), a)) = mult(mult(a, mult(mult(c, a), b)), mult(c, mult(mult(a, b), a))))))))),
% 5.68/5.93 inference(quant_inst,[status(thm)],[])).
% 5.68/5.93 tff(11705,plain,
% 5.68/5.93 ((~![X0: $i, X1: $i, X2: $i] : ((~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X2, X1)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X1, X2)))))) | (~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X1, X2)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X2, X1)))))))) | (~((~(mult(mult(mult(a, mult(mult(c, a), b)), mult(mult(a, b), a)), c) = mult(mult(a, mult(mult(c, a), b)), mult(c, mult(mult(a, b), a))))) | (~(mult(mult(mult(a, mult(mult(c, a), b)), c), mult(mult(a, b), a)) = mult(mult(a, mult(mult(c, a), b)), mult(mult(mult(a, b), a), c)))))) | (~((~(mult(mult(mult(a, mult(mult(c, a), b)), mult(mult(a, b), a)), c) = mult(mult(a, mult(mult(c, a), b)), mult(mult(mult(a, b), a), c)))) | (~(mult(mult(mult(a, mult(mult(c, a), b)), c), mult(mult(a, b), a)) = mult(mult(a, mult(mult(c, a), b)), mult(c, mult(mult(a, b), a)))))))),
% 5.68/5.93 inference(modus_ponens,[status(thm)],[11704, 11703])).
% 5.68/5.93 tff(11706,plain,
% 5.68/5.93 ((~((~(mult(mult(mult(a, mult(mult(c, a), b)), mult(mult(a, b), a)), c) = mult(mult(a, mult(mult(c, a), b)), mult(c, mult(mult(a, b), a))))) | (~(mult(mult(mult(a, mult(mult(c, a), b)), c), mult(mult(a, b), a)) = mult(mult(a, mult(mult(c, a), b)), mult(mult(mult(a, b), a), c)))))) | (~((~(mult(mult(mult(a, mult(mult(c, a), b)), mult(mult(a, b), a)), c) = mult(mult(a, mult(mult(c, a), b)), mult(mult(mult(a, b), a), c)))) | (~(mult(mult(mult(a, mult(mult(c, a), b)), c), mult(mult(a, b), a)) = mult(mult(a, mult(mult(c, a), b)), mult(c, mult(mult(a, b), a)))))))),
% 5.68/5.93 inference(unit_resolution,[status(thm)],[11705, 30])).
% 5.68/5.93 tff(11707,plain,
% 5.68/5.93 (~((~(mult(mult(mult(a, mult(mult(c, a), b)), mult(mult(a, b), a)), c) = mult(mult(a, mult(mult(c, a), b)), mult(mult(mult(a, b), a), c)))) | (~(mult(mult(mult(a, mult(mult(c, a), b)), c), mult(mult(a, b), a)) = mult(mult(a, mult(mult(c, a), b)), mult(c, mult(mult(a, b), a))))))),
% 5.68/5.93 inference(unit_resolution,[status(thm)],[11706, 11702])).
% 5.68/5.93 tff(11708,plain,
% 5.68/5.93 (((~(mult(mult(mult(a, mult(mult(c, a), b)), mult(mult(a, b), a)), c) = mult(mult(a, mult(mult(c, a), b)), mult(mult(mult(a, b), a), c)))) | (~(mult(mult(mult(a, mult(mult(c, a), b)), c), mult(mult(a, b), a)) = mult(mult(a, mult(mult(c, a), b)), mult(c, mult(mult(a, b), a)))))) | (mult(mult(mult(a, mult(mult(c, a), b)), c), mult(mult(a, b), a)) = mult(mult(a, mult(mult(c, a), b)), mult(c, mult(mult(a, b), a))))),
% 5.68/5.93 inference(tautology,[status(thm)],[])).
% 5.68/5.93 tff(11709,plain,
% 5.68/5.93 (mult(mult(mult(a, mult(mult(c, a), b)), c), mult(mult(a, b), a)) = mult(mult(a, mult(mult(c, a), b)), mult(c, mult(mult(a, b), a)))),
% 5.68/5.93 inference(unit_resolution,[status(thm)],[11708, 11707])).
% 5.68/5.93 tff(11710,plain,
% 5.68/5.93 (mult(mult(a, mult(mult(c, a), b)), mult(c, mult(mult(a, b), a))) = mult(mult(mult(a, mult(mult(c, a), b)), c), mult(mult(a, b), a))),
% 5.68/5.93 inference(symmetry,[status(thm)],[11709])).
% 5.68/5.93 tff(11711,plain,
% 5.68/5.93 (mult(mult(a, mult(mult(c, a), b)), mult(c, mult(mult(a, b), a))) = mult(mult(a, mult(mult(c, a), b)), mult(mult(b, a), mult(a, c)))),
% 5.68/5.93 inference(transitivity,[status(thm)],[11710, 11684, 11682, 11679, 6785, 7198, 11676, 11674])).
% 5.68/5.93 tff(11712,plain,
% 5.68/5.93 (ld(mult(a, mult(mult(c, a), b)), mult(mult(a, mult(mult(c, a), b)), mult(c, mult(mult(a, b), a)))) = ld(mult(a, mult(mult(c, a), b)), mult(mult(a, mult(mult(c, a), b)), mult(mult(b, a), mult(a, c))))),
% 5.68/5.93 inference(monotonicity,[status(thm)],[11711])).
% 5.68/5.93 tff(11713,plain,
% 5.68/5.93 (ld(mult(a, mult(mult(c, a), b)), mult(mult(a, mult(mult(c, a), b)), mult(mult(b, a), mult(a, c)))) = ld(mult(a, mult(mult(c, a), b)), mult(mult(a, mult(mult(c, a), b)), mult(c, mult(mult(a, b), a))))),
% 5.68/5.93 inference(symmetry,[status(thm)],[11712])).
% 5.68/5.93 tff(11714,plain,
% 5.68/5.93 (mult(mult(b, mult(c, a)), a) = mult(mult(mult(c, a), b), a)),
% 5.68/5.93 inference(transitivity,[status(thm)],[3532, 3530, 11694, 11713, 11672, 2808])).
% 5.68/5.93 tff(11715,plain,
% 5.68/5.93 (rd(mult(mult(b, mult(c, a)), a), a) = rd(mult(mult(mult(c, a), b), a), a)),
% 5.68/5.93 inference(monotonicity,[status(thm)],[11714])).
% 5.68/5.93 tff(11716,plain,
% 5.68/5.93 (mult(b, mult(c, a)) = mult(mult(c, a), b)),
% 5.68/5.93 inference(transitivity,[status(thm)],[11273, 11715, 3844])).
% 5.68/5.93 tff(11717,plain,
% 5.68/5.93 (mult(a, mult(b, mult(c, a))) = mult(a, mult(mult(c, a), b))),
% 5.68/5.93 inference(monotonicity,[status(thm)],[11716])).
% 5.68/5.93 tff(11718,plain,
% 5.68/5.93 (mult(mult(a, mult(b, a)), c) = mult(a, mult(c, mult(b, a)))),
% 5.68/5.93 inference(transitivity,[status(thm)],[8336, 9222, 754, 11717, 2430])).
% 5.68/5.93 tff(11719,plain,
% 5.68/5.93 ($false),
% 5.68/5.93 inference(unit_resolution,[status(thm)],[10743, 11718])).
% 5.68/5.93 tff(11720,plain,((~(mult(mult(mult(a, c), mult(b, a)), mult(mult(b, a), mult(a, c))) = mult(mult(a, c), mult(mult(mult(b, a), mult(a, c)), mult(b, a))))) | (mult(mult(a, mult(b, a)), c) = mult(a, mult(c, mult(b, a)))) | (~(mult(mult(a, b), mult(c, a)) = mult(a, mult(b, mult(c, a))))) | (~(mult(mult(c, a), b) = mult(c, mult(b, a)))) | (~(mult(mult(mult(mult(mult(a, c), mult(b, a)), mult(a, c)), b), a) = mult(mult(mult(mult(a, c), mult(b, a)), mult(a, c)), mult(b, a)))) | (~(mult(mult(mult(mult(a, c), mult(b, a)), c), a) = mult(mult(mult(a, c), mult(b, a)), mult(a, c)))) | (~(mult(mult(mult(a, b), a), mult(a, c)) = mult(mult(a, b), mult(mult(a, c), a)))) | (~(mult(mult(a, mult(b, a)), mult(a, c)) = mult(a, mult(mult(b, a), mult(a, c))))) | (mult(mult(a, mult(b, mult(c, a))), a) = mult(a, mult(a, mult(b, mult(c, a)))))), inference(lemma,lemma(discharge,[]))).
% 5.68/5.93 tff(11721,plain,
% 5.68/5.93 (~(mult(mult(mult(mult(a, c), mult(b, a)), c), a) = mult(mult(mult(a, c), mult(b, a)), mult(a, c)))),
% 5.68/5.93 inference(unit_resolution,[status(thm)],[11720, 11670, 754, 342, 10743, 11290, 11017, 11120, 11027])).
% 5.68/5.93 tff(11722,plain,
% 5.68/5.93 ((~(mult(mult(mult(mult(a, c), mult(b, a)), a), c) = mult(mult(mult(a, c), mult(b, a)), mult(c, a)))) | (~(mult(mult(mult(mult(a, c), mult(b, a)), c), a) = mult(mult(mult(a, c), mult(b, a)), mult(a, c))))),
% 5.68/5.93 inference(unit_resolution,[status(thm)],[8835, 11721])).
% 5.68/5.93 tff(11723,plain,
% 5.68/5.93 (~((~(mult(mult(mult(mult(a, c), mult(b, a)), a), c) = mult(mult(mult(a, c), mult(b, a)), mult(a, c)))) | (~(mult(mult(mult(mult(a, c), mult(b, a)), c), a) = mult(mult(mult(a, c), mult(b, a)), mult(c, a)))))),
% 5.68/5.93 inference(unit_resolution,[status(thm)],[8843, 11722])).
% 5.68/5.93 tff(11724,plain,
% 5.68/5.93 (mult(mult(mult(mult(a, c), mult(b, a)), c), a) = mult(mult(mult(a, c), mult(b, a)), mult(c, a))),
% 5.68/5.93 inference(unit_resolution,[status(thm)],[8845, 11723])).
% 5.68/5.93 tff(11725,plain,
% 5.68/5.93 (mult(mult(mult(a, c), mult(mult(b, a), mult(a, c))), mult(b, a)) = mult(mult(a, c), mult(mult(mult(b, a), mult(a, c)), mult(b, a)))),
% 5.68/5.93 inference(unit_resolution,[status(thm)],[8755, 11660])).
% 5.68/5.93 tff(11726,plain,
% 5.68/5.93 (mult(mult(mult(a, c), mult(b, a)), mult(a, c)) = mult(mult(a, c), mult(mult(b, a), mult(a, c)))),
% 5.68/5.93 inference(unit_resolution,[status(thm)],[8770, 11725])).
% 5.68/5.93 tff(11727,plain,
% 5.68/5.93 (mult(mult(mult(mult(a, c), mult(b, a)), a), c) = mult(mult(mult(a, c), mult(b, a)), mult(a, c))),
% 5.68/5.93 inference(unit_resolution,[status(thm)],[8949, 11723])).
% 5.68/5.93 tff(11728,plain,
% 5.68/5.93 ((~![B: $i, A: $i] : (ld(A, mult(A, B)) = B)) | (ld(mult(mult(a, b), a), mult(mult(mult(a, b), a), mult(a, c))) = mult(a, c))),
% 5.68/5.93 inference(quant_inst,[status(thm)],[])).
% 5.68/5.93 tff(11729,plain,
% 5.68/5.93 (ld(mult(mult(a, b), a), mult(mult(mult(a, b), a), mult(a, c))) = mult(a, c)),
% 5.68/5.93 inference(unit_resolution,[status(thm)],[11728, 9])).
% 5.68/5.93 tff(11730,plain,
% 5.68/5.93 (ld(b, mult(b, mult(mult(a, c), a))) = ld(b, mult(b, mult(a, mult(c, a))))),
% 5.68/5.93 inference(symmetry,[status(thm)],[6923])).
% 5.68/5.93 tff(11731,plain,
% 5.68/5.93 (mult(mult(a, c), a) = mult(a, mult(c, a))),
% 5.68/5.93 inference(transitivity,[status(thm)],[3638, 11730, 3698])).
% 5.68/5.93 tff(11732,plain,
% 5.68/5.93 (mult(mult(mult(a, c), a), b) = mult(mult(a, mult(c, a)), b)),
% 5.68/5.93 inference(monotonicity,[status(thm)],[11731])).
% 5.68/5.93 tff(11733,plain,
% 5.68/5.93 (mult(mult(a, mult(c, a)), b) = mult(mult(mult(a, c), a), b)),
% 5.68/5.93 inference(symmetry,[status(thm)],[11732])).
% 5.68/5.93 tff(11734,plain,
% 5.68/5.93 (mult(mult(a, c), mult(mult(b, a), mult(a, c))) = mult(mult(mult(a, c), mult(b, a)), mult(a, c))),
% 5.68/5.93 inference(symmetry,[status(thm)],[8831])).
% 5.68/5.93 tff(11735,plain,
% 5.68/5.93 (mult(mult(a, c), mult(mult(b, mult(c, a)), a)) = mult(mult(a, c), mult(c, mult(mult(a, b), a)))),
% 5.68/5.93 inference(transitivity,[status(thm)],[8898, 8900, 11734, 7001, 7000, 8902])).
% 5.68/5.93 tff(11736,plain,
% 5.68/5.93 (ld(mult(a, c), mult(mult(a, c), mult(mult(b, mult(c, a)), a))) = ld(mult(a, c), mult(mult(a, c), mult(c, mult(mult(a, b), a))))),
% 5.68/5.93 inference(monotonicity,[status(thm)],[11735])).
% 5.68/5.93 tff(11737,plain,
% 5.68/5.93 (mult(mult(b, mult(c, a)), a) = mult(mult(mult(c, a), b), a)),
% 5.68/5.93 inference(transitivity,[status(thm)],[8909, 11736, 8897, 2808])).
% 5.68/5.93 tff(11738,plain,
% 5.68/5.93 (rd(mult(mult(b, mult(c, a)), a), a) = rd(mult(mult(mult(c, a), b), a), a)),
% 5.68/5.93 inference(monotonicity,[status(thm)],[11737])).
% 5.68/5.93 tff(11739,plain,
% 5.68/5.93 (rd(mult(mult(mult(c, a), b), a), a) = rd(mult(mult(b, mult(c, a)), a), a)),
% 5.68/5.93 inference(symmetry,[status(thm)],[11738])).
% 5.68/5.93 tff(11740,plain,
% 5.68/5.93 (mult(mult(c, a), b) = mult(b, mult(c, a))),
% 5.68/5.93 inference(transitivity,[status(thm)],[5995, 11739, 848])).
% 5.68/5.93 tff(11741,plain,
% 5.68/5.93 (mult(a, mult(mult(c, a), b)) = mult(a, mult(b, mult(c, a)))),
% 5.68/5.93 inference(monotonicity,[status(thm)],[11740])).
% 5.68/5.93 tff(11742,plain,
% 5.68/5.93 (mult(a, mult(b, mult(c, a))) = mult(a, mult(mult(c, a), b))),
% 5.68/5.93 inference(symmetry,[status(thm)],[11741])).
% 5.68/5.93 tff(11743,plain,
% 5.68/5.93 (mult(mult(mult(a, b), a), c) = mult(mult(a, c), mult(b, a))),
% 5.68/5.93 inference(transitivity,[status(thm)],[2431, 754, 11742, 983, 11733, 1362])).
% 5.68/5.93 tff(11744,plain,
% 5.68/5.93 (mult(mult(mult(mult(a, b), a), c), a) = mult(mult(mult(a, c), mult(b, a)), a)),
% 5.68/5.93 inference(monotonicity,[status(thm)],[11743])).
% 5.68/5.93 tff(11745,plain,
% 5.68/5.93 (mult(mult(mult(a, c), mult(b, a)), a) = mult(mult(mult(mult(a, b), a), c), a)),
% 5.68/5.93 inference(symmetry,[status(thm)],[11744])).
% 5.68/5.93 tff(11746,plain,
% 5.68/5.93 ((~![B: $i, A: $i] : (rd(mult(A, B), B) = A)) | (rd(mult(mult(mult(a, c), mult(mult(a, b), a)), c), c) = mult(mult(a, c), mult(mult(a, b), a)))),
% 5.68/5.93 inference(quant_inst,[status(thm)],[])).
% 5.68/5.93 tff(11747,plain,
% 5.68/5.93 (rd(mult(mult(mult(a, c), mult(mult(a, b), a)), c), c) = mult(mult(a, c), mult(mult(a, b), a))),
% 5.68/5.93 inference(unit_resolution,[status(thm)],[11746, 72])).
% 5.68/5.93 tff(11748,plain,
% 5.68/5.93 (mult(mult(mult(mult(a, b), a), c), a) = mult(mult(a, c), mult(mult(a, b), a))),
% 5.68/5.93 inference(transitivity,[status(thm)],[11744, 6996, 1531])).
% 5.68/5.93 tff(11749,plain,
% 5.68/5.93 (mult(mult(mult(mult(mult(a, b), a), c), a), c) = mult(mult(mult(a, c), mult(mult(a, b), a)), c)),
% 5.68/5.93 inference(monotonicity,[status(thm)],[11748])).
% 5.68/5.93 tff(11750,plain,
% 5.68/5.93 ((~![C: $i, B: $i, A: $i] : (mult(mult(mult(A, B), C), B) = mult(A, mult(mult(B, C), B)))) | (mult(mult(mult(mult(mult(a, b), a), c), a), c) = mult(mult(mult(a, b), a), mult(mult(c, a), c)))),
% 5.68/5.93 inference(quant_inst,[status(thm)],[])).
% 5.68/5.93 tff(11751,plain,
% 5.68/5.93 (mult(mult(mult(mult(mult(a, b), a), c), a), c) = mult(mult(mult(a, b), a), mult(mult(c, a), c))),
% 5.68/5.93 inference(unit_resolution,[status(thm)],[11750, 860])).
% 5.68/5.93 tff(11752,plain,
% 5.68/5.93 (mult(mult(mult(a, b), a), mult(mult(c, a), c)) = mult(mult(mult(mult(mult(a, b), a), c), a), c)),
% 5.68/5.93 inference(symmetry,[status(thm)],[11751])).
% 5.68/5.93 tff(11753,plain,
% 5.68/5.93 (mult(mult(mult(a, b), a), mult(mult(c, a), c)) = mult(mult(mult(a, c), mult(b, a)), mult(a, c))),
% 5.68/5.93 inference(transitivity,[status(thm)],[11752, 11749, 6999, 6842])).
% 5.68/5.93 tff(11754,assumption,(mult(mult(mult(mult(a, c), mult(b, a)), c), a) = mult(mult(mult(a, c), mult(b, a)), mult(c, a))), introduced(assumption)).
% 5.68/5.93 tff(11755,plain,
% 5.68/5.93 (mult(mult(mult(a, c), mult(b, a)), mult(c, a)) = mult(mult(mult(mult(a, c), mult(b, a)), c), a)),
% 5.68/5.93 inference(symmetry,[status(thm)],[11754])).
% 5.68/5.93 tff(11756,plain,
% 5.68/5.93 (mult(mult(mult(mult(a, b), a), c), mult(c, a)) = mult(mult(mult(a, c), mult(b, a)), mult(c, a))),
% 5.68/5.93 inference(monotonicity,[status(thm)],[11743])).
% 5.68/5.93 tff(11757,plain,
% 5.68/5.93 (mult(mult(mult(mult(a, b), a), c), mult(c, a)) = mult(mult(mult(mult(a, c), mult(b, a)), c), a)),
% 5.68/5.93 inference(transitivity,[status(thm)],[11756, 11755])).
% 5.68/5.93 tff(11758,plain,
% 5.68/5.93 ((mult(mult(mult(mult(a, b), a), c), mult(c, a)) = mult(mult(mult(a, b), a), mult(mult(c, a), c))) <=> (mult(mult(mult(mult(a, c), mult(b, a)), c), a) = mult(mult(mult(a, c), mult(b, a)), mult(a, c)))),
% 5.68/5.93 inference(monotonicity,[status(thm)],[11757, 11753])).
% 5.68/5.93 tff(11759,plain,
% 5.68/5.93 ((mult(mult(mult(mult(a, c), mult(b, a)), c), a) = mult(mult(mult(a, c), mult(b, a)), mult(a, c))) <=> (mult(mult(mult(mult(a, b), a), c), mult(c, a)) = mult(mult(mult(a, b), a), mult(mult(c, a), c)))),
% 5.68/5.93 inference(symmetry,[status(thm)],[11758])).
% 5.68/5.93 tff(11760,plain,
% 5.68/5.93 ((~(mult(mult(mult(mult(a, c), mult(b, a)), c), a) = mult(mult(mult(a, c), mult(b, a)), mult(a, c)))) <=> (~(mult(mult(mult(mult(a, b), a), c), mult(c, a)) = mult(mult(mult(a, b), a), mult(mult(c, a), c))))),
% 5.68/5.93 inference(monotonicity,[status(thm)],[11759])).
% 5.68/5.93 tff(11761,plain,
% 5.68/5.93 (~(mult(mult(mult(mult(a, b), a), c), mult(c, a)) = mult(mult(mult(a, b), a), mult(mult(c, a), c)))),
% 5.68/5.93 inference(modus_ponens,[status(thm)],[8834, 11760])).
% 5.68/5.93 tff(11762,plain,
% 5.68/5.93 (((~(mult(mult(mult(mult(a, b), a), c), mult(c, a)) = mult(mult(mult(a, b), a), mult(mult(c, a), c)))) | (~(mult(mult(mult(mult(a, b), a), mult(c, a)), c) = mult(mult(mult(a, b), a), mult(c, mult(c, a)))))) | (mult(mult(mult(mult(a, b), a), c), mult(c, a)) = mult(mult(mult(a, b), a), mult(mult(c, a), c)))),
% 5.68/5.93 inference(tautology,[status(thm)],[])).
% 5.68/5.93 tff(11763,plain,
% 5.68/5.93 ((~(mult(mult(mult(mult(a, b), a), c), mult(c, a)) = mult(mult(mult(a, b), a), mult(mult(c, a), c)))) | (~(mult(mult(mult(mult(a, b), a), mult(c, a)), c) = mult(mult(mult(a, b), a), mult(c, mult(c, a)))))),
% 5.68/5.93 inference(unit_resolution,[status(thm)],[11762, 11761])).
% 5.68/5.93 tff(11764,plain,
% 5.68/5.93 (((~![X0: $i, X1: $i, X2: $i] : ((~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X2, X1)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X1, X2)))))) | (~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X1, X2)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X2, X1)))))))) | ((~((~(mult(mult(mult(mult(a, b), a), c), mult(c, a)) = mult(mult(mult(a, b), a), mult(mult(c, a), c)))) | (~(mult(mult(mult(mult(a, b), a), mult(c, a)), c) = mult(mult(mult(a, b), a), mult(c, mult(c, a))))))) | (~((~(mult(mult(mult(mult(a, b), a), mult(c, a)), c) = mult(mult(mult(a, b), a), mult(mult(c, a), c)))) | (~(mult(mult(mult(mult(a, b), a), c), mult(c, a)) = mult(mult(mult(a, b), a), mult(c, mult(c, a))))))))) <=> ((~![X0: $i, X1: $i, X2: $i] : ((~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X2, X1)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X1, X2)))))) | (~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X1, X2)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X2, X1)))))))) | (~((~(mult(mult(mult(mult(a, b), a), c), mult(c, a)) = mult(mult(mult(a, b), a), mult(mult(c, a), c)))) | (~(mult(mult(mult(mult(a, b), a), mult(c, a)), c) = mult(mult(mult(a, b), a), mult(c, mult(c, a))))))) | (~((~(mult(mult(mult(mult(a, b), a), mult(c, a)), c) = mult(mult(mult(a, b), a), mult(mult(c, a), c)))) | (~(mult(mult(mult(mult(a, b), a), c), mult(c, a)) = mult(mult(mult(a, b), a), mult(c, mult(c, a))))))))),
% 5.68/5.93 inference(rewrite,[status(thm)],[])).
% 5.68/5.93 tff(11765,plain,
% 5.68/5.93 (((~((~(mult(mult(mult(mult(a, b), a), mult(c, a)), c) = mult(mult(mult(a, b), a), mult(c, mult(c, a))))) | (~(mult(mult(mult(mult(a, b), a), c), mult(c, a)) = mult(mult(mult(a, b), a), mult(mult(c, a), c)))))) | (~((~(mult(mult(mult(mult(a, b), a), mult(c, a)), c) = mult(mult(mult(a, b), a), mult(mult(c, a), c)))) | (~(mult(mult(mult(mult(a, b), a), c), mult(c, a)) = mult(mult(mult(a, b), a), mult(c, mult(c, a)))))))) <=> ((~((~(mult(mult(mult(mult(a, b), a), c), mult(c, a)) = mult(mult(mult(a, b), a), mult(mult(c, a), c)))) | (~(mult(mult(mult(mult(a, b), a), mult(c, a)), c) = mult(mult(mult(a, b), a), mult(c, mult(c, a))))))) | (~((~(mult(mult(mult(mult(a, b), a), mult(c, a)), c) = mult(mult(mult(a, b), a), mult(mult(c, a), c)))) | (~(mult(mult(mult(mult(a, b), a), c), mult(c, a)) = mult(mult(mult(a, b), a), mult(c, mult(c, a))))))))),
% 5.68/5.93 inference(rewrite,[status(thm)],[])).
% 5.68/5.93 tff(11766,plain,
% 5.68/5.93 (((~![X0: $i, X1: $i, X2: $i] : ((~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X2, X1)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X1, X2)))))) | (~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X1, X2)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X2, X1)))))))) | ((~((~(mult(mult(mult(mult(a, b), a), mult(c, a)), c) = mult(mult(mult(a, b), a), mult(c, mult(c, a))))) | (~(mult(mult(mult(mult(a, b), a), c), mult(c, a)) = mult(mult(mult(a, b), a), mult(mult(c, a), c)))))) | (~((~(mult(mult(mult(mult(a, b), a), mult(c, a)), c) = mult(mult(mult(a, b), a), mult(mult(c, a), c)))) | (~(mult(mult(mult(mult(a, b), a), c), mult(c, a)) = mult(mult(mult(a, b), a), mult(c, mult(c, a))))))))) <=> ((~![X0: $i, X1: $i, X2: $i] : ((~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X2, X1)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X1, X2)))))) | (~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X1, X2)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X2, X1)))))))) | ((~((~(mult(mult(mult(mult(a, b), a), c), mult(c, a)) = mult(mult(mult(a, b), a), mult(mult(c, a), c)))) | (~(mult(mult(mult(mult(a, b), a), mult(c, a)), c) = mult(mult(mult(a, b), a), mult(c, mult(c, a))))))) | (~((~(mult(mult(mult(mult(a, b), a), mult(c, a)), c) = mult(mult(mult(a, b), a), mult(mult(c, a), c)))) | (~(mult(mult(mult(mult(a, b), a), c), mult(c, a)) = mult(mult(mult(a, b), a), mult(c, mult(c, a)))))))))),
% 5.68/5.93 inference(monotonicity,[status(thm)],[11765])).
% 5.68/5.93 tff(11767,plain,
% 5.68/5.93 (((~![X0: $i, X1: $i, X2: $i] : ((~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X2, X1)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X1, X2)))))) | (~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X1, X2)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X2, X1)))))))) | ((~((~(mult(mult(mult(mult(a, b), a), mult(c, a)), c) = mult(mult(mult(a, b), a), mult(c, mult(c, a))))) | (~(mult(mult(mult(mult(a, b), a), c), mult(c, a)) = mult(mult(mult(a, b), a), mult(mult(c, a), c)))))) | (~((~(mult(mult(mult(mult(a, b), a), mult(c, a)), c) = mult(mult(mult(a, b), a), mult(mult(c, a), c)))) | (~(mult(mult(mult(mult(a, b), a), c), mult(c, a)) = mult(mult(mult(a, b), a), mult(c, mult(c, a))))))))) <=> ((~![X0: $i, X1: $i, X2: $i] : ((~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X2, X1)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X1, X2)))))) | (~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X1, X2)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X2, X1)))))))) | (~((~(mult(mult(mult(mult(a, b), a), c), mult(c, a)) = mult(mult(mult(a, b), a), mult(mult(c, a), c)))) | (~(mult(mult(mult(mult(a, b), a), mult(c, a)), c) = mult(mult(mult(a, b), a), mult(c, mult(c, a))))))) | (~((~(mult(mult(mult(mult(a, b), a), mult(c, a)), c) = mult(mult(mult(a, b), a), mult(mult(c, a), c)))) | (~(mult(mult(mult(mult(a, b), a), c), mult(c, a)) = mult(mult(mult(a, b), a), mult(c, mult(c, a))))))))),
% 5.68/5.93 inference(transitivity,[status(thm)],[11766, 11764])).
% 5.68/5.93 tff(11768,plain,
% 5.68/5.93 ((~![X0: $i, X1: $i, X2: $i] : ((~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X2, X1)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X1, X2)))))) | (~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X1, X2)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X2, X1)))))))) | ((~((~(mult(mult(mult(mult(a, b), a), mult(c, a)), c) = mult(mult(mult(a, b), a), mult(c, mult(c, a))))) | (~(mult(mult(mult(mult(a, b), a), c), mult(c, a)) = mult(mult(mult(a, b), a), mult(mult(c, a), c)))))) | (~((~(mult(mult(mult(mult(a, b), a), mult(c, a)), c) = mult(mult(mult(a, b), a), mult(mult(c, a), c)))) | (~(mult(mult(mult(mult(a, b), a), c), mult(c, a)) = mult(mult(mult(a, b), a), mult(c, mult(c, a))))))))),
% 5.68/5.94 inference(quant_inst,[status(thm)],[])).
% 5.68/5.94 tff(11769,plain,
% 5.68/5.94 ((~![X0: $i, X1: $i, X2: $i] : ((~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X2, X1)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X1, X2)))))) | (~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X1, X2)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X2, X1)))))))) | (~((~(mult(mult(mult(mult(a, b), a), c), mult(c, a)) = mult(mult(mult(a, b), a), mult(mult(c, a), c)))) | (~(mult(mult(mult(mult(a, b), a), mult(c, a)), c) = mult(mult(mult(a, b), a), mult(c, mult(c, a))))))) | (~((~(mult(mult(mult(mult(a, b), a), mult(c, a)), c) = mult(mult(mult(a, b), a), mult(mult(c, a), c)))) | (~(mult(mult(mult(mult(a, b), a), c), mult(c, a)) = mult(mult(mult(a, b), a), mult(c, mult(c, a)))))))),
% 5.68/5.94 inference(modus_ponens,[status(thm)],[11768, 11767])).
% 5.68/5.94 tff(11770,plain,
% 5.68/5.94 ((~((~(mult(mult(mult(mult(a, b), a), c), mult(c, a)) = mult(mult(mult(a, b), a), mult(mult(c, a), c)))) | (~(mult(mult(mult(mult(a, b), a), mult(c, a)), c) = mult(mult(mult(a, b), a), mult(c, mult(c, a))))))) | (~((~(mult(mult(mult(mult(a, b), a), mult(c, a)), c) = mult(mult(mult(a, b), a), mult(mult(c, a), c)))) | (~(mult(mult(mult(mult(a, b), a), c), mult(c, a)) = mult(mult(mult(a, b), a), mult(c, mult(c, a)))))))),
% 5.68/5.94 inference(unit_resolution,[status(thm)],[11769, 30])).
% 5.68/5.94 tff(11771,plain,
% 5.68/5.94 (~((~(mult(mult(mult(mult(a, b), a), mult(c, a)), c) = mult(mult(mult(a, b), a), mult(mult(c, a), c)))) | (~(mult(mult(mult(mult(a, b), a), c), mult(c, a)) = mult(mult(mult(a, b), a), mult(c, mult(c, a))))))),
% 5.68/5.94 inference(unit_resolution,[status(thm)],[11770, 11763])).
% 5.68/5.94 tff(11772,plain,
% 5.68/5.94 (((~(mult(mult(mult(mult(a, b), a), mult(c, a)), c) = mult(mult(mult(a, b), a), mult(mult(c, a), c)))) | (~(mult(mult(mult(mult(a, b), a), c), mult(c, a)) = mult(mult(mult(a, b), a), mult(c, mult(c, a)))))) | (mult(mult(mult(mult(a, b), a), mult(c, a)), c) = mult(mult(mult(a, b), a), mult(mult(c, a), c)))),
% 5.68/5.94 inference(tautology,[status(thm)],[])).
% 5.68/5.94 tff(11773,plain,
% 5.68/5.94 (mult(mult(mult(mult(a, b), a), mult(c, a)), c) = mult(mult(mult(a, b), a), mult(mult(c, a), c))),
% 5.68/5.94 inference(unit_resolution,[status(thm)],[11772, 11771])).
% 5.68/5.94 tff(11774,plain,
% 5.68/5.94 (mult(mult(mult(mult(a, b), a), mult(c, a)), c) = mult(mult(mult(a, c), mult(mult(a, b), a)), c)),
% 5.68/5.94 inference(transitivity,[status(thm)],[11773, 11752, 11749])).
% 5.68/5.94 tff(11775,plain,
% 5.68/5.94 (rd(mult(mult(mult(mult(a, b), a), mult(c, a)), c), c) = rd(mult(mult(mult(a, c), mult(mult(a, b), a)), c), c)),
% 5.68/5.94 inference(monotonicity,[status(thm)],[11774])).
% 5.68/5.94 tff(11776,plain,
% 5.68/5.94 ((~![B: $i, A: $i] : (rd(mult(A, B), B) = A)) | (rd(mult(mult(mult(mult(a, b), a), mult(c, a)), c), c) = mult(mult(mult(a, b), a), mult(c, a)))),
% 5.68/5.94 inference(quant_inst,[status(thm)],[])).
% 5.68/5.94 tff(11777,plain,
% 5.68/5.94 (rd(mult(mult(mult(mult(a, b), a), mult(c, a)), c), c) = mult(mult(mult(a, b), a), mult(c, a))),
% 5.68/5.94 inference(unit_resolution,[status(thm)],[11776, 72])).
% 5.68/5.94 tff(11778,plain,
% 5.68/5.94 (mult(mult(mult(a, b), a), mult(c, a)) = rd(mult(mult(mult(mult(a, b), a), mult(c, a)), c), c)),
% 5.68/5.94 inference(symmetry,[status(thm)],[11777])).
% 5.68/5.94 tff(11779,plain,
% 5.68/5.94 (mult(mult(mult(a, b), a), mult(c, a)) = mult(mult(mult(a, b), a), mult(a, c))),
% 5.68/5.94 inference(transitivity,[status(thm)],[11778, 11775, 11747, 1532, 6997, 11745, 11096, 11018])).
% 5.68/5.94 tff(11780,plain,
% 5.68/5.94 (ld(mult(mult(a, b), a), mult(mult(mult(a, b), a), mult(c, a))) = ld(mult(mult(a, b), a), mult(mult(mult(a, b), a), mult(a, c)))),
% 5.68/5.94 inference(monotonicity,[status(thm)],[11779])).
% 5.68/5.94 tff(11781,plain,
% 5.68/5.94 ((~![B: $i, A: $i] : (ld(A, mult(A, B)) = B)) | (ld(mult(mult(a, b), a), mult(mult(mult(a, b), a), mult(c, a))) = mult(c, a))),
% 5.68/5.94 inference(quant_inst,[status(thm)],[])).
% 5.68/5.94 tff(11782,plain,
% 5.68/5.94 (ld(mult(mult(a, b), a), mult(mult(mult(a, b), a), mult(c, a))) = mult(c, a)),
% 5.68/5.94 inference(unit_resolution,[status(thm)],[11781, 9])).
% 5.68/5.94 tff(11783,plain,
% 5.68/5.94 (mult(c, a) = ld(mult(mult(a, b), a), mult(mult(mult(a, b), a), mult(c, a)))),
% 5.68/5.94 inference(symmetry,[status(thm)],[11782])).
% 5.68/5.94 tff(11784,plain,
% 5.68/5.94 (mult(c, a) = mult(a, c)),
% 5.68/5.94 inference(transitivity,[status(thm)],[11783, 11780, 11729])).
% 5.68/5.94 tff(11785,plain,
% 5.68/5.94 (mult(mult(a, b), mult(c, a)) = mult(mult(a, b), mult(a, c))),
% 5.68/5.94 inference(monotonicity,[status(thm)],[11784])).
% 5.68/5.94 tff(11786,plain,
% 5.68/5.94 (mult(mult(mult(a, b), a), c) = mult(mult(a, b), mult(a, c))),
% 5.68/5.94 inference(transitivity,[status(thm)],[2431, 11785])).
% 5.68/5.94 tff(11787,plain,
% 5.68/5.94 ($false),
% 5.68/5.94 inference(unit_resolution,[status(thm)],[2880, 11786])).
% 5.68/5.94 tff(11788,plain,((~(mult(mult(mult(a, c), mult(mult(a, b), a)), c) = mult(mult(a, c), mult(c, mult(mult(a, b), a))))) | (mult(mult(mult(a, b), a), c) = mult(mult(a, b), mult(a, c))) | (~(mult(mult(mult(a, b), a), c) = mult(mult(a, b), mult(c, a)))) | (~(mult(mult(mult(a, b), a), mult(a, c)) = mult(mult(a, b), mult(mult(a, c), a)))) | (~(mult(mult(mult(a, c), a), b) = mult(mult(a, c), mult(b, a)))) | (~(mult(mult(a, mult(c, a)), b) = mult(a, mult(mult(c, a), b)))) | (~(mult(mult(a, b), mult(c, a)) = mult(a, mult(b, mult(c, a))))) | (~(mult(mult(mult(mult(a, c), mult(b, a)), a), c) = mult(mult(mult(a, c), mult(b, a)), mult(a, c)))) | (~(mult(mult(mult(a, c), mult(b, a)), mult(a, c)) = mult(mult(a, c), mult(mult(b, a), mult(a, c))))) | (mult(mult(mult(mult(a, c), mult(b, a)), c), a) = mult(mult(mult(a, c), mult(b, a)), mult(a, c))) | (~(mult(mult(mult(mult(a, c), mult(b, a)), c), a) = mult(mult(mult(a, c), mult(b, a)), mult(c, a))))), inference(lemma,lemma(discharge,[]))).
% 5.68/5.94 tff(11789,plain,
% 5.68/5.94 ((~(mult(mult(mult(a, c), mult(mult(a, b), a)), c) = mult(mult(a, c), mult(c, mult(mult(a, b), a))))) | (mult(mult(mult(a, b), a), c) = mult(mult(a, b), mult(a, c))) | (~(mult(mult(mult(a, b), a), mult(a, c)) = mult(mult(a, b), mult(mult(a, c), a)))) | (~(mult(mult(mult(a, c), a), b) = mult(mult(a, c), mult(b, a)))) | (~(mult(mult(a, mult(c, a)), b) = mult(a, mult(mult(c, a), b)))) | (~(mult(mult(a, b), mult(c, a)) = mult(a, mult(b, mult(c, a))))) | (~(mult(mult(mult(mult(a, c), mult(b, a)), a), c) = mult(mult(mult(a, c), mult(b, a)), mult(a, c)))) | (~(mult(mult(mult(a, c), mult(b, a)), mult(a, c)) = mult(mult(a, c), mult(mult(b, a), mult(a, c))))) | (mult(mult(mult(mult(a, c), mult(b, a)), c), a) = mult(mult(mult(a, c), mult(b, a)), mult(a, c))) | (~(mult(mult(mult(mult(a, c), mult(b, a)), c), a) = mult(mult(mult(a, c), mult(b, a)), mult(c, a))))),
% 5.68/5.94 inference(unit_resolution,[status(thm)],[11788, 9222])).
% 5.68/5.94 tff(11790,plain,
% 5.68/5.94 (~(mult(mult(mult(a, c), mult(mult(a, b), a)), c) = mult(mult(a, c), mult(c, mult(mult(a, b), a))))),
% 5.68/5.94 inference(unit_resolution,[status(thm)],[11789, 11727, 1362, 11017, 11726, 11721, 742, 11124, 754, 11724])).
% 5.68/5.94 tff(11791,plain,
% 5.68/5.94 (((~(mult(mult(mult(a, c), c), mult(mult(a, b), a)) = mult(mult(a, c), mult(mult(mult(a, b), a), c)))) | (~(mult(mult(mult(a, c), mult(mult(a, b), a)), c) = mult(mult(a, c), mult(c, mult(mult(a, b), a)))))) | (mult(mult(mult(a, c), mult(mult(a, b), a)), c) = mult(mult(a, c), mult(c, mult(mult(a, b), a))))),
% 5.68/5.94 inference(tautology,[status(thm)],[])).
% 5.68/5.94 tff(11792,plain,
% 5.68/5.94 ((~(mult(mult(mult(a, c), c), mult(mult(a, b), a)) = mult(mult(a, c), mult(mult(mult(a, b), a), c)))) | (~(mult(mult(mult(a, c), mult(mult(a, b), a)), c) = mult(mult(a, c), mult(c, mult(mult(a, b), a)))))),
% 5.68/5.94 inference(unit_resolution,[status(thm)],[11791, 11790])).
% 5.68/5.94 tff(11793,plain,
% 5.68/5.94 ((~![C: $i, B: $i, A: $i] : (mult(mult(mult(A, B), C), B) = mult(A, mult(mult(B, C), B)))) | (mult(mult(mult(mult(mult(a, b), c), a), b), a) = mult(mult(mult(a, b), c), mult(mult(a, b), a)))),
% 5.68/5.94 inference(quant_inst,[status(thm)],[])).
% 5.68/5.94 tff(11794,plain,
% 5.68/5.94 (mult(mult(mult(mult(mult(a, b), c), a), b), a) = mult(mult(mult(a, b), c), mult(mult(a, b), a))),
% 5.68/5.94 inference(unit_resolution,[status(thm)],[11793, 860])).
% 5.68/5.94 tff(11795,plain,
% 5.68/5.94 (mult(mult(a, mult(mult(mult(b, c), a), b)), a) = mult(mult(mult(mult(mult(a, b), c), a), b), a)),
% 5.68/5.94 inference(symmetry,[status(thm)],[7204])).
% 5.68/5.94 tff(11796,assumption,(mult(mult(mult(a, c), mult(mult(a, b), a)), c) = mult(mult(a, c), mult(mult(mult(a, b), a), c))), introduced(assumption)).
% 5.68/5.94 tff(11797,plain,
% 5.68/5.94 ((~![B: $i, A: $i] : (rd(mult(A, B), B) = A)) | (rd(mult(mult(a, mult(mult(mult(a, b), a), c)), b), b) = mult(a, mult(mult(mult(a, b), a), c)))),
% 5.78/5.94 inference(quant_inst,[status(thm)],[])).
% 5.78/5.94 tff(11798,plain,
% 5.78/5.94 (rd(mult(mult(a, mult(mult(mult(a, b), a), c)), b), b) = mult(a, mult(mult(mult(a, b), a), c))),
% 5.78/5.94 inference(unit_resolution,[status(thm)],[11797, 72])).
% 5.78/5.94 tff(11799,plain,
% 5.78/5.94 ((~![B: $i, A: $i] : (ld(A, mult(A, B)) = B)) | (ld(mult(a, c), mult(mult(a, c), mult(mult(mult(a, b), a), c))) = mult(mult(mult(a, b), a), c))),
% 5.78/5.94 inference(quant_inst,[status(thm)],[])).
% 5.78/5.94 tff(11800,plain,
% 5.78/5.94 (ld(mult(a, c), mult(mult(a, c), mult(mult(mult(a, b), a), c))) = mult(mult(mult(a, b), a), c)),
% 5.78/5.94 inference(unit_resolution,[status(thm)],[11799, 9])).
% 5.78/5.94 tff(11801,plain,
% 5.78/5.94 (mult(mult(a, c), mult(mult(a, b), a)) = mult(mult(mult(a, c), mult(b, a)), a)),
% 5.78/5.94 inference(transitivity,[status(thm)],[10827, 10826])).
% 5.78/5.94 tff(11802,plain,
% 5.78/5.94 (mult(mult(mult(a, c), mult(mult(a, b), a)), c) = mult(mult(mult(mult(a, c), mult(b, a)), a), c)),
% 5.78/5.94 inference(monotonicity,[status(thm)],[11801])).
% 5.78/5.94 tff(11803,plain,
% 5.78/5.94 (mult(mult(a, c), mult(mult(mult(a, b), a), c)) = mult(mult(mult(a, c), mult(mult(a, b), a)), c)),
% 5.78/5.94 inference(symmetry,[status(thm)],[11796])).
% 5.78/5.94 tff(11804,plain,
% 5.78/5.94 (mult(mult(a, c), mult(mult(mult(a, b), a), c)) = mult(mult(a, c), mult(mult(b, a), mult(a, c)))),
% 5.78/5.94 inference(transitivity,[status(thm)],[11803, 11802, 6842, 8831])).
% 5.78/5.94 tff(11805,plain,
% 5.78/5.94 (ld(mult(a, c), mult(mult(a, c), mult(mult(mult(a, b), a), c))) = ld(mult(a, c), mult(mult(a, c), mult(mult(b, a), mult(a, c))))),
% 5.78/5.94 inference(monotonicity,[status(thm)],[11804])).
% 5.78/5.94 tff(11806,plain,
% 5.78/5.94 (ld(mult(a, c), mult(mult(a, c), mult(mult(b, a), mult(a, c)))) = ld(mult(a, c), mult(mult(a, c), mult(mult(mult(a, b), a), c)))),
% 5.78/5.94 inference(symmetry,[status(thm)],[11805])).
% 5.78/5.94 tff(11807,plain,
% 5.78/5.94 ((~![B: $i, A: $i] : (ld(A, mult(A, B)) = B)) | (ld(mult(a, c), mult(mult(a, c), mult(mult(b, a), mult(a, c)))) = mult(mult(b, a), mult(a, c)))),
% 5.78/5.94 inference(quant_inst,[status(thm)],[])).
% 5.78/5.94 tff(11808,plain,
% 5.78/5.94 (ld(mult(a, c), mult(mult(a, c), mult(mult(b, a), mult(a, c)))) = mult(mult(b, a), mult(a, c))),
% 5.78/5.94 inference(unit_resolution,[status(thm)],[11807, 9])).
% 5.78/5.94 tff(11809,plain,
% 5.78/5.94 (mult(mult(b, a), mult(a, c)) = ld(mult(a, c), mult(mult(a, c), mult(mult(b, a), mult(a, c))))),
% 5.78/5.94 inference(symmetry,[status(thm)],[11808])).
% 5.78/5.94 tff(11810,plain,
% 5.78/5.94 (mult(mult(b, a), mult(a, c)) = mult(mult(mult(a, b), a), c)),
% 5.78/5.94 inference(transitivity,[status(thm)],[11809, 11806, 11800])).
% 5.78/5.94 tff(11811,plain,
% 5.78/5.94 (mult(mult(mult(b, a), mult(a, c)), a) = mult(mult(mult(mult(a, b), a), c), a)),
% 5.78/5.94 inference(monotonicity,[status(thm)],[11810])).
% 5.78/5.94 tff(11812,plain,
% 5.78/5.94 (mult(mult(mult(mult(a, b), a), c), a) = mult(mult(mult(b, a), mult(a, c)), a)),
% 5.78/5.94 inference(symmetry,[status(thm)],[11811])).
% 5.78/5.94 tff(11813,plain,
% 5.78/5.94 (mult(mult(mult(a, b), a), mult(a, c)) = mult(mult(mult(b, a), mult(a, c)), a)),
% 5.78/5.94 inference(transitivity,[status(thm)],[11017, 11097, 11812])).
% 5.78/5.94 tff(11814,plain,
% 5.78/5.94 (mult(mult(mult(mult(a, b), a), mult(a, c)), b) = mult(mult(mult(mult(b, a), mult(a, c)), a), b)),
% 5.78/5.94 inference(monotonicity,[status(thm)],[11813])).
% 5.78/5.94 tff(11815,plain,
% 5.78/5.94 (mult(mult(mult(mult(b, a), mult(a, c)), a), b) = mult(mult(mult(mult(a, b), a), mult(a, c)), b)),
% 5.78/5.94 inference(symmetry,[status(thm)],[11814])).
% 5.78/5.94 tff(11816,plain,
% 5.78/5.94 (mult(mult(a, b), mult(mult(a, c), a)) = mult(mult(mult(b, a), mult(a, c)), a)),
% 5.78/5.94 inference(transitivity,[status(thm)],[11097, 11812])).
% 5.78/5.94 tff(11817,plain,
% 5.78/5.94 (mult(mult(mult(a, b), mult(mult(a, c), a)), b) = mult(mult(mult(mult(b, a), mult(a, c)), a), b)),
% 5.78/5.94 inference(monotonicity,[status(thm)],[11816])).
% 5.78/5.94 tff(11818,plain,
% 5.78/5.94 ((~![C: $i, B: $i, A: $i] : (mult(mult(mult(A, B), C), B) = mult(A, mult(mult(B, C), B)))) | (mult(mult(mult(a, b), mult(mult(a, c), a)), b) = mult(a, mult(mult(b, mult(mult(a, c), a)), b)))),
% 5.78/5.94 inference(quant_inst,[status(thm)],[])).
% 5.78/5.94 tff(11819,plain,
% 5.78/5.94 (mult(mult(mult(a, b), mult(mult(a, c), a)), b) = mult(a, mult(mult(b, mult(mult(a, c), a)), b))),
% 5.78/5.94 inference(unit_resolution,[status(thm)],[11818, 860])).
% 5.78/5.94 tff(11820,plain,
% 5.78/5.94 (mult(a, mult(mult(b, mult(mult(a, c), a)), b)) = mult(mult(mult(a, b), mult(mult(a, c), a)), b)),
% 5.78/5.94 inference(symmetry,[status(thm)],[11819])).
% 5.78/5.94 tff(11821,plain,
% 5.78/5.94 (mult(mult(b, mult(mult(a, c), a)), b) = mult(mult(mult(b, a), mult(a, c)), b)),
% 5.78/5.94 inference(monotonicity,[status(thm)],[11584])).
% 5.78/5.94 tff(11822,plain,
% 5.78/5.94 (mult(mult(mult(b, a), mult(a, c)), b) = mult(mult(b, mult(mult(a, c), a)), b)),
% 5.78/5.94 inference(symmetry,[status(thm)],[11821])).
% 5.78/5.94 tff(11823,plain,
% 5.78/5.94 (mult(mult(b, a), mult(a, c)) = mult(mult(a, b), mult(c, a))),
% 5.78/5.94 inference(transitivity,[status(thm)],[11809, 11806, 11800, 9222])).
% 5.78/5.94 tff(11824,plain,
% 5.78/5.94 (mult(mult(mult(b, a), mult(a, c)), b) = mult(mult(mult(a, b), mult(c, a)), b)),
% 5.78/5.94 inference(monotonicity,[status(thm)],[11823])).
% 5.78/5.94 tff(11825,plain,
% 5.78/5.94 (mult(mult(mult(a, b), mult(c, a)), b) = mult(mult(mult(b, a), mult(a, c)), b)),
% 5.78/5.94 inference(symmetry,[status(thm)],[11824])).
% 5.78/5.94 tff(11826,plain,
% 5.78/5.94 (mult(mult(mult(a, b), mult(c, a)), b) = mult(mult(b, mult(mult(a, c), a)), b)),
% 5.78/5.94 inference(transitivity,[status(thm)],[11825, 11822])).
% 5.78/5.94 tff(11827,plain,
% 5.78/5.94 (mult(a, mult(mult(mult(a, b), mult(c, a)), b)) = mult(a, mult(mult(b, mult(mult(a, c), a)), b))),
% 5.78/5.94 inference(monotonicity,[status(thm)],[11826])).
% 5.78/5.94 tff(11828,plain,
% 5.78/5.94 ((~![C: $i, B: $i, A: $i] : (mult(mult(mult(A, B), C), B) = mult(A, mult(mult(B, C), B)))) | (mult(mult(mult(a, b), mult(c, a)), b) = mult(a, mult(mult(b, mult(c, a)), b)))),
% 5.78/5.94 inference(quant_inst,[status(thm)],[])).
% 5.78/5.94 tff(11829,plain,
% 5.78/5.94 (mult(mult(mult(a, b), mult(c, a)), b) = mult(a, mult(mult(b, mult(c, a)), b))),
% 5.78/5.94 inference(unit_resolution,[status(thm)],[11828, 860])).
% 5.78/5.94 tff(11830,plain,
% 5.78/5.94 (mult(a, mult(mult(b, mult(c, a)), b)) = mult(mult(mult(a, b), mult(c, a)), b)),
% 5.78/5.94 inference(symmetry,[status(thm)],[11829])).
% 5.78/5.94 tff(11831,plain,
% 5.78/5.94 (mult(a, mult(a, mult(mult(b, mult(c, a)), b))) = mult(a, mult(mult(mult(a, b), mult(c, a)), b))),
% 5.78/5.94 inference(monotonicity,[status(thm)],[11830])).
% 5.78/5.94 tff(11832,plain,
% 5.78/5.94 (mult(a, mult(a, mult(mult(b, mult(c, a)), b))) = mult(mult(mult(b, a), mult(a, c)), mult(a, b))),
% 5.78/5.95 inference(transitivity,[status(thm)],[11831, 11827, 11820, 11817, 8398])).
% 5.78/5.95 tff(11833,plain,
% 5.78/5.95 (mult(a, mult(mult(b, mult(c, a)), b)) = mult(mult(mult(b, a), mult(a, c)), b)),
% 5.78/5.95 inference(transitivity,[status(thm)],[11830, 11825])).
% 5.78/5.95 tff(11834,plain,
% 5.78/5.95 (mult(mult(a, mult(mult(b, mult(c, a)), b)), a) = mult(mult(mult(mult(b, a), mult(a, c)), b), a)),
% 5.78/5.95 inference(monotonicity,[status(thm)],[11833])).
% 5.78/5.95 tff(11835,plain,
% 5.78/5.95 ((mult(mult(a, mult(mult(b, mult(c, a)), b)), a) = mult(a, mult(a, mult(mult(b, mult(c, a)), b)))) <=> (mult(mult(mult(mult(b, a), mult(a, c)), b), a) = mult(mult(mult(b, a), mult(a, c)), mult(a, b)))),
% 5.78/5.95 inference(monotonicity,[status(thm)],[11834, 11832])).
% 5.78/5.95 tff(11836,plain,
% 5.78/5.95 ((mult(mult(mult(mult(b, a), mult(a, c)), b), a) = mult(mult(mult(b, a), mult(a, c)), mult(a, b))) <=> (mult(mult(a, mult(mult(b, mult(c, a)), b)), a) = mult(a, mult(a, mult(mult(b, mult(c, a)), b))))),
% 5.78/5.95 inference(symmetry,[status(thm)],[11835])).
% 5.78/5.95 tff(11837,plain,
% 5.78/5.95 ((~(mult(mult(mult(mult(b, a), mult(a, c)), b), a) = mult(mult(mult(b, a), mult(a, c)), mult(a, b)))) <=> (~(mult(mult(a, mult(mult(b, mult(c, a)), b)), a) = mult(a, mult(a, mult(mult(b, mult(c, a)), b)))))),
% 5.78/5.95 inference(monotonicity,[status(thm)],[11836])).
% 5.78/5.95 tff(11838,plain,
% 5.78/5.95 ((mult(mult(mult(b, a), mult(a, c)), mult(a, b)) = mult(mult(mult(mult(b, a), mult(a, c)), b), a)) <=> (mult(mult(mult(mult(b, a), mult(a, c)), b), a) = mult(mult(mult(b, a), mult(a, c)), mult(a, b)))),
% 5.78/5.95 inference(commutativity,[status(thm)],[])).
% 5.78/5.95 tff(11839,plain,
% 5.78/5.95 (mult(mult(mult(mult(b, a), mult(a, c)), b), a) = mult(mult(mult(b, a), mult(a, c)), mult(b, a))),
% 5.78/5.95 inference(unit_resolution,[status(thm)],[7867, 8396])).
% 5.78/5.95 tff(11840,plain,
% 5.78/5.95 (mult(mult(mult(b, a), mult(a, c)), mult(b, a)) = mult(mult(mult(mult(b, a), mult(a, c)), b), a)),
% 5.78/5.95 inference(symmetry,[status(thm)],[11839])).
% 5.78/5.95 tff(11841,plain,
% 5.78/5.95 ((mult(mult(mult(mult(b, a), mult(a, c)), a), b) = mult(mult(mult(b, a), mult(a, c)), mult(b, a))) <=> (mult(mult(mult(b, a), mult(a, c)), mult(a, b)) = mult(mult(mult(mult(b, a), mult(a, c)), b), a))),
% 5.78/5.95 inference(monotonicity,[status(thm)],[8398, 11840])).
% 5.78/5.95 tff(11842,plain,
% 5.78/5.95 ((mult(mult(mult(mult(b, a), mult(a, c)), a), b) = mult(mult(mult(b, a), mult(a, c)), mult(b, a))) <=> (mult(mult(mult(mult(b, a), mult(a, c)), b), a) = mult(mult(mult(b, a), mult(a, c)), mult(a, b)))),
% 5.78/5.95 inference(transitivity,[status(thm)],[11841, 11838])).
% 5.78/5.95 tff(11843,plain,
% 5.78/5.95 ((~(mult(mult(mult(mult(b, a), mult(a, c)), a), b) = mult(mult(mult(b, a), mult(a, c)), mult(b, a)))) <=> (~(mult(mult(mult(mult(b, a), mult(a, c)), b), a) = mult(mult(mult(b, a), mult(a, c)), mult(a, b))))),
% 5.78/5.95 inference(monotonicity,[status(thm)],[11842])).
% 5.78/5.95 tff(11844,plain,
% 5.78/5.95 (~(mult(mult(mult(mult(b, a), mult(a, c)), b), a) = mult(mult(mult(b, a), mult(a, c)), mult(a, b)))),
% 5.78/5.95 inference(modus_ponens,[status(thm)],[8394, 11843])).
% 5.78/5.95 tff(11845,plain,
% 5.78/5.95 (~(mult(mult(a, mult(mult(b, mult(c, a)), b)), a) = mult(a, mult(a, mult(mult(b, mult(c, a)), b))))),
% 5.78/5.95 inference(modus_ponens,[status(thm)],[11844, 11837])).
% 5.78/5.95 tff(11846,plain,
% 5.78/5.95 (((~(mult(mult(a, a), mult(mult(b, mult(c, a)), b)) = mult(a, mult(mult(mult(b, mult(c, a)), b), a)))) | (~(mult(mult(a, mult(mult(b, mult(c, a)), b)), a) = mult(a, mult(a, mult(mult(b, mult(c, a)), b)))))) | (mult(mult(a, mult(mult(b, mult(c, a)), b)), a) = mult(a, mult(a, mult(mult(b, mult(c, a)), b))))),
% 5.78/5.95 inference(tautology,[status(thm)],[])).
% 5.78/5.95 tff(11847,plain,
% 5.78/5.95 ((~(mult(mult(a, a), mult(mult(b, mult(c, a)), b)) = mult(a, mult(mult(mult(b, mult(c, a)), b), a)))) | (~(mult(mult(a, mult(mult(b, mult(c, a)), b)), a) = mult(a, mult(a, mult(mult(b, mult(c, a)), b)))))),
% 5.78/5.95 inference(unit_resolution,[status(thm)],[11846, 11845])).
% 5.78/5.95 tff(11848,plain,
% 5.78/5.95 (((~![X0: $i, X1: $i, X2: $i] : ((~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X2, X1)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X1, X2)))))) | (~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X1, X2)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X2, X1)))))))) | ((~((~(mult(mult(a, a), mult(mult(b, mult(c, a)), b)) = mult(a, mult(mult(mult(b, mult(c, a)), b), a)))) | (~(mult(mult(a, mult(mult(b, mult(c, a)), b)), a) = mult(a, mult(a, mult(mult(b, mult(c, a)), b))))))) | (~((~(mult(mult(a, a), mult(mult(b, mult(c, a)), b)) = mult(a, mult(a, mult(mult(b, mult(c, a)), b))))) | (~(mult(mult(a, mult(mult(b, mult(c, a)), b)), a) = mult(a, mult(mult(mult(b, mult(c, a)), b), a)))))))) <=> ((~![X0: $i, X1: $i, X2: $i] : ((~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X2, X1)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X1, X2)))))) | (~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X1, X2)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X2, X1)))))))) | (~((~(mult(mult(a, a), mult(mult(b, mult(c, a)), b)) = mult(a, mult(mult(mult(b, mult(c, a)), b), a)))) | (~(mult(mult(a, mult(mult(b, mult(c, a)), b)), a) = mult(a, mult(a, mult(mult(b, mult(c, a)), b))))))) | (~((~(mult(mult(a, a), mult(mult(b, mult(c, a)), b)) = mult(a, mult(a, mult(mult(b, mult(c, a)), b))))) | (~(mult(mult(a, mult(mult(b, mult(c, a)), b)), a) = mult(a, mult(mult(mult(b, mult(c, a)), b), a)))))))),
% 5.78/5.95 inference(rewrite,[status(thm)],[])).
% 5.78/5.95 tff(11849,plain,
% 5.78/5.95 ((~![X0: $i, X1: $i, X2: $i] : ((~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X2, X1)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X1, X2)))))) | (~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X1, X2)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X2, X1)))))))) | ((~((~(mult(mult(a, a), mult(mult(b, mult(c, a)), b)) = mult(a, mult(mult(mult(b, mult(c, a)), b), a)))) | (~(mult(mult(a, mult(mult(b, mult(c, a)), b)), a) = mult(a, mult(a, mult(mult(b, mult(c, a)), b))))))) | (~((~(mult(mult(a, a), mult(mult(b, mult(c, a)), b)) = mult(a, mult(a, mult(mult(b, mult(c, a)), b))))) | (~(mult(mult(a, mult(mult(b, mult(c, a)), b)), a) = mult(a, mult(mult(mult(b, mult(c, a)), b), a)))))))),
% 5.78/5.95 inference(quant_inst,[status(thm)],[])).
% 5.78/5.95 tff(11850,plain,
% 5.78/5.95 ((~![X0: $i, X1: $i, X2: $i] : ((~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X2, X1)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X1, X2)))))) | (~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X1, X2)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X2, X1)))))))) | (~((~(mult(mult(a, a), mult(mult(b, mult(c, a)), b)) = mult(a, mult(mult(mult(b, mult(c, a)), b), a)))) | (~(mult(mult(a, mult(mult(b, mult(c, a)), b)), a) = mult(a, mult(a, mult(mult(b, mult(c, a)), b))))))) | (~((~(mult(mult(a, a), mult(mult(b, mult(c, a)), b)) = mult(a, mult(a, mult(mult(b, mult(c, a)), b))))) | (~(mult(mult(a, mult(mult(b, mult(c, a)), b)), a) = mult(a, mult(mult(mult(b, mult(c, a)), b), a))))))),
% 5.78/5.95 inference(modus_ponens,[status(thm)],[11849, 11848])).
% 5.78/5.95 tff(11851,plain,
% 5.78/5.95 ((~((~(mult(mult(a, a), mult(mult(b, mult(c, a)), b)) = mult(a, mult(mult(mult(b, mult(c, a)), b), a)))) | (~(mult(mult(a, mult(mult(b, mult(c, a)), b)), a) = mult(a, mult(a, mult(mult(b, mult(c, a)), b))))))) | (~((~(mult(mult(a, a), mult(mult(b, mult(c, a)), b)) = mult(a, mult(a, mult(mult(b, mult(c, a)), b))))) | (~(mult(mult(a, mult(mult(b, mult(c, a)), b)), a) = mult(a, mult(mult(mult(b, mult(c, a)), b), a))))))),
% 5.78/5.95 inference(unit_resolution,[status(thm)],[11850, 30])).
% 5.78/5.95 tff(11852,plain,
% 5.78/5.95 (~((~(mult(mult(a, a), mult(mult(b, mult(c, a)), b)) = mult(a, mult(a, mult(mult(b, mult(c, a)), b))))) | (~(mult(mult(a, mult(mult(b, mult(c, a)), b)), a) = mult(a, mult(mult(mult(b, mult(c, a)), b), a)))))),
% 5.78/5.95 inference(unit_resolution,[status(thm)],[11851, 11847])).
% 5.78/5.95 tff(11853,plain,
% 5.78/5.95 (((~(mult(mult(a, a), mult(mult(b, mult(c, a)), b)) = mult(a, mult(a, mult(mult(b, mult(c, a)), b))))) | (~(mult(mult(a, mult(mult(b, mult(c, a)), b)), a) = mult(a, mult(mult(mult(b, mult(c, a)), b), a))))) | (mult(mult(a, a), mult(mult(b, mult(c, a)), b)) = mult(a, mult(a, mult(mult(b, mult(c, a)), b))))),
% 5.78/5.95 inference(tautology,[status(thm)],[])).
% 5.78/5.95 tff(11854,plain,
% 5.78/5.95 (mult(mult(a, a), mult(mult(b, mult(c, a)), b)) = mult(a, mult(a, mult(mult(b, mult(c, a)), b)))),
% 5.78/5.95 inference(unit_resolution,[status(thm)],[11853, 11852])).
% 5.78/5.95 tff(11855,plain,
% 5.78/5.95 ((~![C: $i, B: $i, A: $i] : (mult(mult(mult(A, B), C), B) = mult(A, mult(mult(B, C), B)))) | (mult(mult(mult(mult(a, a), b), mult(c, a)), b) = mult(mult(a, a), mult(mult(b, mult(c, a)), b)))),
% 5.78/5.95 inference(quant_inst,[status(thm)],[])).
% 5.78/5.95 tff(11856,plain,
% 5.78/5.95 (mult(mult(mult(mult(a, a), b), mult(c, a)), b) = mult(mult(a, a), mult(mult(b, mult(c, a)), b))),
% 5.78/5.95 inference(unit_resolution,[status(thm)],[11855, 860])).
% 5.78/5.95 tff(11857,plain,
% 5.78/5.95 (mult(mult(mult(a, a), b), mult(c, a)) = mult(mult(a, mult(a, b)), mult(c, a))),
% 5.78/5.95 inference(monotonicity,[status(thm)],[4190])).
% 5.78/5.95 tff(11858,plain,
% 5.78/5.95 (mult(mult(a, mult(a, b)), mult(c, a)) = mult(mult(mult(a, a), b), mult(c, a))),
% 5.78/5.95 inference(symmetry,[status(thm)],[11857])).
% 5.78/5.95 tff(11859,plain,
% 5.78/5.95 (mult(a, mult(mult(a, b), mult(c, a))) = mult(mult(a, mult(a, b)), mult(c, a))),
% 5.78/5.95 inference(symmetry,[status(thm)],[10903])).
% 5.78/5.95 tff(11860,plain,
% 5.78/5.95 (mult(a, mult(mult(a, b), mult(c, a))) = mult(a, mult(mult(mult(a, b), a), c))),
% 5.78/5.95 inference(monotonicity,[status(thm)],[9223])).
% 5.78/5.95 tff(11861,plain,
% 5.78/5.95 (mult(a, mult(mult(mult(a, b), a), c)) = mult(a, mult(mult(a, b), mult(c, a)))),
% 5.78/5.95 inference(symmetry,[status(thm)],[11860])).
% 5.78/5.95 tff(11862,plain,
% 5.78/5.95 (mult(a, mult(mult(b, a), mult(a, c))) = mult(a, mult(mult(mult(a, b), a), c))),
% 5.78/5.95 inference(monotonicity,[status(thm)],[11810])).
% 5.78/5.95 tff(11863,plain,
% 5.78/5.95 (mult(a, mult(mult(b, a), mult(a, c))) = mult(mult(mult(a, a), b), mult(c, a))),
% 5.78/5.95 inference(transitivity,[status(thm)],[11862, 11861, 11859, 11858])).
% 5.78/5.95 tff(11864,plain,
% 5.78/5.95 (mult(mult(a, mult(mult(b, a), mult(a, c))), b) = mult(mult(mult(mult(a, a), b), mult(c, a)), b)),
% 5.78/5.95 inference(monotonicity,[status(thm)],[11863])).
% 5.78/5.95 tff(11865,plain,
% 5.78/5.95 (mult(a, mult(mult(mult(a, b), a), c)) = mult(a, mult(mult(b, a), mult(a, c)))),
% 5.78/5.95 inference(symmetry,[status(thm)],[11862])).
% 5.78/5.95 tff(11866,plain,
% 5.78/5.95 (mult(mult(a, mult(mult(mult(a, b), a), c)), b) = mult(mult(a, mult(mult(b, a), mult(a, c))), b)),
% 5.78/5.95 inference(monotonicity,[status(thm)],[11865])).
% 5.78/5.95 tff(11867,plain,
% 5.78/5.95 (mult(mult(a, mult(mult(mult(a, b), a), c)), b) = mult(mult(mult(mult(a, b), a), mult(a, c)), b)),
% 5.78/5.95 inference(transitivity,[status(thm)],[11866, 11864, 11856, 11854, 11831, 11827, 11820, 11817, 11815])).
% 5.78/5.95 tff(11868,plain,
% 5.78/5.95 (rd(mult(mult(a, mult(mult(mult(a, b), a), c)), b), b) = rd(mult(mult(mult(mult(a, b), a), mult(a, c)), b), b)),
% 5.78/5.95 inference(monotonicity,[status(thm)],[11867])).
% 5.78/5.95 tff(11869,plain,
% 5.78/5.95 (rd(mult(mult(mult(mult(a, b), a), mult(a, c)), b), b) = rd(mult(mult(a, mult(mult(mult(a, b), a), c)), b), b)),
% 5.78/5.95 inference(symmetry,[status(thm)],[11868])).
% 5.78/5.95 tff(11870,plain,
% 5.78/5.95 ((~![B: $i, A: $i] : (rd(mult(A, B), B) = A)) | (rd(mult(mult(mult(mult(a, b), a), mult(a, c)), b), b) = mult(mult(mult(a, b), a), mult(a, c)))),
% 5.78/5.95 inference(quant_inst,[status(thm)],[])).
% 5.78/5.95 tff(11871,plain,
% 5.78/5.95 (rd(mult(mult(mult(mult(a, b), a), mult(a, c)), b), b) = mult(mult(mult(a, b), a), mult(a, c))),
% 5.78/5.95 inference(unit_resolution,[status(thm)],[11870, 72])).
% 5.78/5.95 tff(11872,plain,
% 5.78/5.95 (mult(mult(mult(a, b), a), mult(a, c)) = rd(mult(mult(mult(mult(a, b), a), mult(a, c)), b), b)),
% 5.78/5.95 inference(symmetry,[status(thm)],[11871])).
% 5.78/5.95 tff(11873,plain,
% 5.78/5.95 (mult(mult(a, mult(b, mult(c, a))), a) = mult(a, mult(a, mult(b, mult(c, a))))),
% 5.78/5.95 inference(transitivity,[status(thm)],[11093, 11096, 11018, 11872, 11869, 11798, 11100])).
% 5.78/5.95 tff(11874,plain,
% 5.78/5.95 ($false),
% 5.78/5.95 inference(unit_resolution,[status(thm)],[11027, 11873])).
% 5.78/5.95 tff(11875,plain,((mult(mult(mult(mult(b, a), mult(a, c)), a), b) = mult(mult(mult(b, a), mult(a, c)), mult(b, a))) | (mult(mult(a, mult(b, mult(c, a))), a) = mult(a, mult(a, mult(b, mult(c, a))))) | (~(mult(mult(mult(a, b), a), mult(a, c)) = mult(mult(a, b), mult(mult(a, c), a)))) | (~(mult(mult(mult(a, c), mult(b, a)), mult(a, c)) = mult(mult(a, c), mult(mult(b, a), mult(a, c))))) | (~(mult(mult(mult(a, c), mult(mult(a, b), a)), c) = mult(mult(a, c), mult(mult(mult(a, b), a), c)))) | (~(mult(mult(mult(mult(a, c), mult(b, a)), a), c) = mult(mult(mult(a, c), mult(b, a)), mult(a, c)))) | (~(mult(mult(mult(a, c), mult(b, a)), a) = mult(mult(a, c), mult(a, mult(b, a))))) | (~(mult(mult(a, mult(a, b)), mult(c, a)) = mult(a, mult(mult(a, b), mult(c, a))))) | (~(mult(mult(a, b), mult(c, a)) = mult(a, mult(b, mult(c, a)))))), inference(lemma,lemma(discharge,[]))).
% 5.78/5.95 tff(11876,plain,
% 5.78/5.95 (mult(mult(mult(mult(b, a), mult(a, c)), a), b) = mult(mult(mult(b, a), mult(a, c)), mult(b, a))),
% 5.78/5.95 inference(unit_resolution,[status(thm)],[11875, 11027, 11017, 8831, 11796, 6842, 11029, 10903, 754])).
% 5.78/5.95 tff(11877,plain,
% 5.78/5.95 (~(mult(mult(mult(mult(mult(a, c), mult(b, a)), mult(a, c)), a), b) = mult(mult(mult(mult(a, c), mult(b, a)), mult(a, c)), mult(b, a)))),
% 5.78/5.95 inference(unit_resolution,[status(thm)],[10972, 11876, 614])).
% 5.78/5.95 tff(11878,plain,
% 5.78/5.95 ((~(mult(mult(mult(mult(mult(a, c), mult(b, a)), mult(a, c)), b), a) = mult(mult(mult(mult(a, c), mult(b, a)), mult(a, c)), mult(a, b)))) | (~(mult(mult(mult(mult(mult(a, c), mult(b, a)), mult(a, c)), a), b) = mult(mult(mult(mult(a, c), mult(b, a)), mult(a, c)), mult(b, a))))),
% 5.78/5.95 inference(unit_resolution,[status(thm)],[10974, 11877])).
% 5.78/5.95 tff(11879,plain,
% 5.78/5.95 (~((~(mult(mult(mult(mult(mult(a, c), mult(b, a)), mult(a, c)), b), a) = mult(mult(mult(mult(a, c), mult(b, a)), mult(a, c)), mult(b, a)))) | (~(mult(mult(mult(mult(mult(a, c), mult(b, a)), mult(a, c)), a), b) = mult(mult(mult(mult(a, c), mult(b, a)), mult(a, c)), mult(a, b)))))),
% 5.78/5.95 inference(unit_resolution,[status(thm)],[6722, 11878])).
% 5.78/5.95 tff(11880,plain,
% 5.78/5.95 (mult(mult(mult(mult(mult(a, c), mult(b, a)), mult(a, c)), b), a) = mult(mult(mult(mult(a, c), mult(b, a)), mult(a, c)), mult(b, a))),
% 5.78/5.95 inference(unit_resolution,[status(thm)],[6724, 11879])).
% 5.78/5.95 tff(11881,plain,
% 5.78/5.95 (mult(mult(a, c), mult(mult(a, mult(mult(mult(b, c), a), b)), a)) = mult(mult(a, c), mult(mult(mult(b, a), mult(a, c)), mult(b, a)))),
% 5.78/5.95 inference(transitivity,[status(thm)],[6687, 6793, 11880, 7198])).
% 5.78/5.95 tff(11882,plain,
% 5.78/5.95 (ld(mult(a, c), mult(mult(a, c), mult(mult(a, mult(mult(mult(b, c), a), b)), a))) = ld(mult(a, c), mult(mult(a, c), mult(mult(mult(b, a), mult(a, c)), mult(b, a))))),
% 5.78/5.95 inference(monotonicity,[status(thm)],[11881])).
% 5.78/5.95 tff(11883,plain,
% 5.78/5.95 (ld(mult(a, c), mult(mult(a, c), mult(mult(mult(b, a), mult(a, c)), mult(b, a)))) = ld(mult(a, c), mult(mult(a, c), mult(mult(a, mult(mult(mult(b, c), a), b)), a)))),
% 5.78/5.95 inference(symmetry,[status(thm)],[11882])).
% 5.78/5.95 tff(11884,plain,
% 5.78/5.95 (mult(a, mult(a, mult(mult(b, mult(c, a)), b))) = mult(mult(mult(mult(b, a), mult(a, c)), a), b)),
% 5.78/5.95 inference(transitivity,[status(thm)],[11831, 11827, 11820, 11817])).
% 5.78/5.95 tff(11885,assumption,(~(mult(mult(mult(mult(b, a), mult(a, c)), b), a) = mult(mult(mult(b, a), mult(a, c)), mult(b, a)))), introduced(assumption)).
% 5.78/5.95 tff(11886,plain,
% 5.78/5.95 ((~(mult(mult(mult(mult(b, a), mult(a, c)), a), b) = mult(mult(mult(b, a), mult(a, c)), mult(a, b)))) | (~(mult(mult(mult(mult(b, a), mult(a, c)), b), a) = mult(mult(mult(b, a), mult(a, c)), mult(b, a))))),
% 5.78/5.95 inference(unit_resolution,[status(thm)],[7867, 11885])).
% 5.78/5.95 tff(11887,plain,
% 5.78/5.95 (~((~(mult(mult(mult(mult(b, a), mult(a, c)), b), a) = mult(mult(mult(b, a), mult(a, c)), mult(a, b)))) | (~(mult(mult(mult(mult(b, a), mult(a, c)), a), b) = mult(mult(mult(b, a), mult(a, c)), mult(b, a)))))),
% 5.78/5.95 inference(unit_resolution,[status(thm)],[7879, 11886])).
% 5.78/5.95 tff(11888,plain,
% 5.78/5.95 (mult(mult(mult(mult(b, a), mult(a, c)), b), a) = mult(mult(mult(b, a), mult(a, c)), mult(a, b))),
% 5.78/5.95 inference(unit_resolution,[status(thm)],[7881, 11887])).
% 5.78/5.95 tff(11889,plain,
% 5.78/5.95 (mult(mult(a, mult(mult(b, mult(c, a)), b)), a) = mult(mult(mult(b, a), mult(a, c)), mult(a, b))),
% 5.78/5.95 inference(transitivity,[status(thm)],[11834, 11888])).
% 5.78/5.95 tff(11890,plain,
% 5.78/5.95 ((mult(mult(a, mult(mult(b, mult(c, a)), b)), a) = mult(a, mult(a, mult(mult(b, mult(c, a)), b)))) <=> (mult(mult(mult(b, a), mult(a, c)), mult(a, b)) = mult(mult(mult(mult(b, a), mult(a, c)), a), b))),
% 5.78/5.95 inference(monotonicity,[status(thm)],[11889, 11884])).
% 5.78/5.95 tff(11891,plain,
% 5.78/5.95 ((mult(mult(a, mult(mult(b, mult(c, a)), b)), a) = mult(a, mult(a, mult(mult(b, mult(c, a)), b)))) <=> (mult(mult(mult(mult(b, a), mult(a, c)), a), b) = mult(mult(mult(b, a), mult(a, c)), mult(a, b)))),
% 5.78/5.95 inference(transitivity,[status(thm)],[11890, 7896])).
% 5.78/5.95 tff(11892,plain,
% 5.78/5.95 ((mult(mult(mult(mult(b, a), mult(a, c)), a), b) = mult(mult(mult(b, a), mult(a, c)), mult(a, b))) <=> (mult(mult(a, mult(mult(b, mult(c, a)), b)), a) = mult(a, mult(a, mult(mult(b, mult(c, a)), b))))),
% 5.78/5.95 inference(symmetry,[status(thm)],[11891])).
% 5.78/5.95 tff(11893,plain,
% 5.78/5.95 ((~(mult(mult(mult(mult(b, a), mult(a, c)), a), b) = mult(mult(mult(b, a), mult(a, c)), mult(a, b)))) <=> (~(mult(mult(a, mult(mult(b, mult(c, a)), b)), a) = mult(a, mult(a, mult(mult(b, mult(c, a)), b)))))),
% 5.78/5.95 inference(monotonicity,[status(thm)],[11892])).
% 5.78/5.95 tff(11894,plain,
% 5.78/5.95 (mult(mult(mult(mult(b, a), mult(a, c)), a), b) = mult(mult(mult(b, a), mult(a, c)), mult(b, a))),
% 5.78/5.95 inference(unit_resolution,[status(thm)],[11875, 11027, 11017, 8831, 11796, 6842, 10825, 10903, 754])).
% 5.78/5.95 tff(11895,plain,
% 5.78/5.95 (mult(mult(mult(b, a), mult(a, c)), mult(b, a)) = mult(mult(mult(mult(b, a), mult(a, c)), a), b)),
% 5.78/5.95 inference(symmetry,[status(thm)],[11894])).
% 5.78/5.95 tff(11896,plain,
% 5.78/5.95 ((mult(mult(mult(mult(b, a), mult(a, c)), b), a) = mult(mult(mult(b, a), mult(a, c)), mult(b, a))) <=> (mult(mult(mult(b, a), mult(a, c)), mult(a, b)) = mult(mult(mult(mult(b, a), mult(a, c)), a), b))),
% 5.78/5.96 inference(monotonicity,[status(thm)],[11888, 11895])).
% 5.78/5.96 tff(11897,plain,
% 5.78/5.96 ((mult(mult(mult(mult(b, a), mult(a, c)), b), a) = mult(mult(mult(b, a), mult(a, c)), mult(b, a))) <=> (mult(mult(mult(mult(b, a), mult(a, c)), a), b) = mult(mult(mult(b, a), mult(a, c)), mult(a, b)))),
% 5.78/5.96 inference(transitivity,[status(thm)],[11896, 7896])).
% 5.78/5.96 tff(11898,plain,
% 5.78/5.96 ((~(mult(mult(mult(mult(b, a), mult(a, c)), b), a) = mult(mult(mult(b, a), mult(a, c)), mult(b, a)))) <=> (~(mult(mult(mult(mult(b, a), mult(a, c)), a), b) = mult(mult(mult(b, a), mult(a, c)), mult(a, b))))),
% 5.78/5.96 inference(monotonicity,[status(thm)],[11897])).
% 5.78/5.96 tff(11899,plain,
% 5.78/5.96 (~(mult(mult(mult(mult(b, a), mult(a, c)), a), b) = mult(mult(mult(b, a), mult(a, c)), mult(a, b)))),
% 5.78/5.96 inference(modus_ponens,[status(thm)],[11885, 11898])).
% 5.78/5.96 tff(11900,plain,
% 5.78/5.96 (~(mult(mult(a, mult(mult(b, mult(c, a)), b)), a) = mult(a, mult(a, mult(mult(b, mult(c, a)), b))))),
% 5.78/5.96 inference(modus_ponens,[status(thm)],[11899, 11893])).
% 5.78/5.96 tff(11901,plain,
% 5.78/5.96 ((~(mult(mult(a, a), mult(mult(b, mult(c, a)), b)) = mult(a, mult(mult(mult(b, mult(c, a)), b), a)))) | (~(mult(mult(a, mult(mult(b, mult(c, a)), b)), a) = mult(a, mult(a, mult(mult(b, mult(c, a)), b)))))),
% 5.78/5.96 inference(unit_resolution,[status(thm)],[11846, 11900])).
% 5.78/5.96 tff(11902,plain,
% 5.78/5.96 (~((~(mult(mult(a, a), mult(mult(b, mult(c, a)), b)) = mult(a, mult(a, mult(mult(b, mult(c, a)), b))))) | (~(mult(mult(a, mult(mult(b, mult(c, a)), b)), a) = mult(a, mult(mult(mult(b, mult(c, a)), b), a)))))),
% 5.78/5.96 inference(unit_resolution,[status(thm)],[11851, 11901])).
% 5.78/5.96 tff(11903,plain,
% 5.78/5.96 (mult(mult(a, a), mult(mult(b, mult(c, a)), b)) = mult(a, mult(a, mult(mult(b, mult(c, a)), b)))),
% 5.78/5.96 inference(unit_resolution,[status(thm)],[11853, 11902])).
% 5.78/5.96 tff(11904,plain,
% 5.78/5.96 (mult(mult(a, mult(mult(mult(a, b), a), c)), b) = mult(mult(mult(mult(a, b), a), mult(a, c)), b)),
% 5.78/5.96 inference(transitivity,[status(thm)],[11866, 11864, 11856, 11903, 11831, 11827, 11820, 11817, 11815])).
% 5.78/5.96 tff(11905,plain,
% 5.78/5.96 (rd(mult(mult(a, mult(mult(mult(a, b), a), c)), b), b) = rd(mult(mult(mult(mult(a, b), a), mult(a, c)), b), b)),
% 5.78/5.96 inference(monotonicity,[status(thm)],[11904])).
% 5.78/5.96 tff(11906,plain,
% 5.78/5.96 (rd(mult(mult(mult(mult(a, b), a), mult(a, c)), b), b) = rd(mult(mult(a, mult(mult(mult(a, b), a), c)), b), b)),
% 5.78/5.96 inference(symmetry,[status(thm)],[11905])).
% 5.78/5.96 tff(11907,plain,
% 5.78/5.96 (mult(mult(a, mult(b, mult(c, a))), a) = mult(a, mult(a, mult(b, mult(c, a))))),
% 5.78/5.96 inference(transitivity,[status(thm)],[11093, 11096, 11018, 11872, 11906, 11798, 11100])).
% 5.78/5.96 tff(11908,plain,
% 5.78/5.96 ($false),
% 5.78/5.96 inference(unit_resolution,[status(thm)],[11027, 11907])).
% 5.78/5.96 tff(11909,plain,((mult(mult(mult(mult(b, a), mult(a, c)), b), a) = mult(mult(mult(b, a), mult(a, c)), mult(b, a))) | (mult(mult(a, mult(b, mult(c, a))), a) = mult(a, mult(a, mult(b, mult(c, a))))) | (~(mult(mult(mult(a, b), a), mult(a, c)) = mult(mult(a, b), mult(mult(a, c), a)))) | (~(mult(mult(mult(a, c), mult(b, a)), mult(a, c)) = mult(mult(a, c), mult(mult(b, a), mult(a, c))))) | (~(mult(mult(mult(a, c), mult(mult(a, b), a)), c) = mult(mult(a, c), mult(mult(mult(a, b), a), c)))) | (~(mult(mult(mult(mult(a, c), mult(b, a)), a), c) = mult(mult(mult(a, c), mult(b, a)), mult(a, c)))) | (~(mult(mult(mult(a, c), mult(b, a)), a) = mult(mult(a, c), mult(a, mult(b, a))))) | (~(mult(mult(a, mult(a, b)), mult(c, a)) = mult(a, mult(mult(a, b), mult(c, a))))) | (~(mult(mult(a, b), mult(c, a)) = mult(a, mult(b, mult(c, a)))))), inference(lemma,lemma(discharge,[]))).
% 5.78/5.96 tff(11910,plain,
% 5.78/5.96 (mult(mult(mult(mult(b, a), mult(a, c)), b), a) = mult(mult(mult(b, a), mult(a, c)), mult(b, a))),
% 5.78/5.96 inference(unit_resolution,[status(thm)],[11909, 11027, 11017, 8831, 11796, 6842, 11029, 10903, 754])).
% 5.78/5.96 tff(11911,plain,
% 5.78/5.96 (~(mult(mult(mult(b, mult(c, a)), a), mult(b, a)) = mult(mult(b, mult(c, a)), mult(mult(b, a), a)))),
% 5.78/5.96 inference(unit_resolution,[status(thm)],[10939, 11910, 10913, 342])).
% 5.78/5.96 tff(11912,plain,
% 5.78/5.96 ((~(mult(mult(mult(b, mult(c, a)), a), mult(b, a)) = mult(mult(b, mult(c, a)), mult(mult(b, a), a)))) | (~(mult(mult(mult(b, mult(c, a)), mult(b, a)), a) = mult(mult(b, mult(c, a)), mult(a, mult(b, a)))))),
% 5.78/5.96 inference(unit_resolution,[status(thm)],[7912, 11911])).
% 5.78/5.96 tff(11913,plain,
% 5.78/5.96 (~((~(mult(mult(mult(b, mult(c, a)), mult(b, a)), a) = mult(mult(b, mult(c, a)), mult(mult(b, a), a)))) | (~(mult(mult(mult(b, mult(c, a)), a), mult(b, a)) = mult(mult(b, mult(c, a)), mult(a, mult(b, a))))))),
% 5.78/5.96 inference(unit_resolution,[status(thm)],[7910, 11912])).
% 5.78/5.96 tff(11914,plain,
% 5.78/5.96 (mult(mult(mult(b, mult(c, a)), a), mult(b, a)) = mult(mult(b, mult(c, a)), mult(a, mult(b, a)))),
% 5.78/5.96 inference(unit_resolution,[status(thm)],[7902, 11913])).
% 5.78/5.96 tff(11915,plain,
% 5.78/5.96 (mult(mult(b, mult(c, a)), mult(a, mult(b, a))) = mult(mult(mult(b, mult(c, a)), a), mult(b, a))),
% 5.78/5.96 inference(symmetry,[status(thm)],[11914])).
% 5.78/5.96 tff(11916,plain,
% 5.78/5.96 (mult(mult(b, mult(c, a)), mult(mult(a, b), a)) = mult(mult(mult(a, b), c), mult(mult(a, b), a))),
% 5.78/5.96 inference(transitivity,[status(thm)],[11154, 11915, 3534, 7849, 11883, 7202, 11795, 11794])).
% 5.78/5.96 tff(11917,plain,
% 5.78/5.96 (rd(mult(mult(b, mult(c, a)), mult(mult(a, b), a)), mult(mult(a, b), a)) = rd(mult(mult(mult(a, b), c), mult(mult(a, b), a)), mult(mult(a, b), a))),
% 5.78/5.96 inference(monotonicity,[status(thm)],[11916])).
% 5.78/5.96 tff(11918,plain,
% 5.78/5.96 (rd(mult(mult(mult(a, b), c), mult(mult(a, b), a)), mult(mult(a, b), a)) = rd(mult(mult(b, mult(c, a)), mult(mult(a, b), a)), mult(mult(a, b), a))),
% 5.78/5.96 inference(symmetry,[status(thm)],[11917])).
% 5.78/5.96 tff(11919,plain,
% 5.78/5.96 ((~![B: $i, A: $i] : (rd(mult(A, B), B) = A)) | (rd(mult(mult(mult(a, b), c), mult(mult(a, b), a)), mult(mult(a, b), a)) = mult(mult(a, b), c))),
% 5.78/5.96 inference(quant_inst,[status(thm)],[])).
% 5.78/5.96 tff(11920,plain,
% 5.78/5.96 (rd(mult(mult(mult(a, b), c), mult(mult(a, b), a)), mult(mult(a, b), a)) = mult(mult(a, b), c)),
% 5.78/5.96 inference(unit_resolution,[status(thm)],[11919, 72])).
% 5.78/5.96 tff(11921,plain,
% 5.78/5.96 (mult(mult(a, b), c) = rd(mult(mult(mult(a, b), c), mult(mult(a, b), a)), mult(mult(a, b), a))),
% 5.78/5.96 inference(symmetry,[status(thm)],[11920])).
% 5.78/5.96 tff(11922,plain,
% 5.78/5.96 (mult(mult(a, b), c) = mult(b, mult(c, a))),
% 5.78/5.96 inference(transitivity,[status(thm)],[11921, 11918, 11164])).
% 5.78/5.96 tff(11923,plain,
% 5.78/5.96 (mult(mult(mult(a, b), c), a) = mult(mult(b, mult(c, a)), a)),
% 5.78/5.96 inference(monotonicity,[status(thm)],[11922])).
% 5.78/5.96 tff(11924,plain,
% 5.78/5.96 (mult(mult(b, mult(c, a)), a) = mult(mult(mult(a, b), c), a)),
% 5.78/5.96 inference(symmetry,[status(thm)],[11923])).
% 5.78/5.96 tff(11925,plain,
% 5.78/5.96 (mult(mult(mult(b, a), c), a) = mult(mult(b, mult(c, a)), a)),
% 5.78/5.96 inference(symmetry,[status(thm)],[3532])).
% 5.78/5.96 tff(11926,plain,
% 5.78/5.96 (mult(mult(a, c), mult(mult(a, b), a)) = mult(mult(mult(a, c), mult(b, a)), a)),
% 5.78/5.96 inference(transitivity,[status(thm)],[10827, 11500])).
% 5.78/5.96 tff(11927,plain,
% 5.78/5.96 (mult(mult(mult(a, c), mult(mult(a, b), a)), c) = mult(mult(mult(mult(a, c), mult(b, a)), a), c)),
% 5.78/5.96 inference(monotonicity,[status(thm)],[11926])).
% 5.78/5.96 tff(11928,plain,
% 5.78/5.96 (mult(mult(a, c), mult(mult(mult(a, b), a), c)) = mult(mult(a, c), mult(mult(b, a), mult(a, c)))),
% 5.78/5.96 inference(transitivity,[status(thm)],[11803, 11927, 6842, 8831])).
% 5.78/5.96 tff(11929,plain,
% 5.78/5.96 (ld(mult(a, c), mult(mult(a, c), mult(mult(mult(a, b), a), c))) = ld(mult(a, c), mult(mult(a, c), mult(mult(b, a), mult(a, c))))),
% 5.78/5.96 inference(monotonicity,[status(thm)],[11928])).
% 5.78/5.96 tff(11930,plain,
% 5.78/5.96 (mult(mult(mult(a, b), a), c) = ld(mult(a, c), mult(mult(a, c), mult(mult(mult(a, b), a), c)))),
% 5.78/5.96 inference(symmetry,[status(thm)],[11800])).
% 5.78/5.96 tff(11931,plain,
% 5.78/5.96 (mult(mult(mult(a, b), a), c) = mult(mult(a, b), mult(a, c))),
% 5.78/5.96 inference(transitivity,[status(thm)],[11930, 11929, 11808, 4650, 11925, 11924, 168])).
% 5.78/5.96 tff(11932,plain,
% 5.78/5.96 ($false),
% 5.78/5.96 inference(unit_resolution,[status(thm)],[11124, 11931])).
% 5.78/5.96 tff(11933,plain,((mult(mult(a, mult(b, mult(c, a))), a) = mult(a, mult(a, mult(b, mult(c, a))))) | (~(mult(mult(mult(a, b), c), a) = mult(mult(a, b), mult(a, c)))) | (~(mult(mult(mult(a, c), a), b) = mult(mult(a, c), mult(b, a)))) | (~(mult(mult(mult(a, c), mult(b, a)), mult(a, c)) = mult(mult(a, c), mult(mult(b, a), mult(a, c))))) | (~(mult(mult(mult(a, c), mult(mult(a, b), a)), c) = mult(mult(a, c), mult(mult(mult(a, b), a), c)))) | (~(mult(mult(mult(mult(a, c), mult(b, a)), a), c) = mult(mult(mult(a, c), mult(b, a)), mult(a, c)))) | (mult(mult(c, mult(b, a)), a) = mult(c, mult(mult(b, a), a))) | (~(mult(mult(c, a), b) = mult(c, mult(b, a)))) | (~(mult(mult(mult(a, b), a), mult(a, c)) = mult(mult(a, b), mult(mult(a, c), a)))) | (~(mult(mult(a, mult(a, b)), mult(c, a)) = mult(a, mult(mult(a, b), mult(c, a))))) | (~(mult(mult(a, b), mult(c, a)) = mult(a, mult(b, mult(c, a))))) | (mult(mult(mult(a, c), b), a) = mult(mult(a, c), mult(b, a)))), inference(lemma,lemma(discharge,[]))).
% 5.78/5.96 tff(11934,plain,
% 5.78/5.96 (~(mult(mult(mult(a, c), mult(mult(a, b), a)), c) = mult(mult(a, c), mult(mult(mult(a, b), a), c)))),
% 5.78/5.96 inference(unit_resolution,[status(thm)],[11933, 11727, 1362, 168, 11027, 11726, 10913, 342, 11017, 10903, 754, 614])).
% 5.78/5.96 tff(11935,plain,
% 5.78/5.96 (((~(mult(mult(mult(a, c), c), mult(mult(a, b), a)) = mult(mult(a, c), mult(c, mult(mult(a, b), a))))) | (~(mult(mult(mult(a, c), mult(mult(a, b), a)), c) = mult(mult(a, c), mult(mult(mult(a, b), a), c))))) | (mult(mult(mult(a, c), mult(mult(a, b), a)), c) = mult(mult(a, c), mult(mult(mult(a, b), a), c)))),
% 5.78/5.96 inference(tautology,[status(thm)],[])).
% 5.78/5.96 tff(11936,plain,
% 5.78/5.96 ((~(mult(mult(mult(a, c), c), mult(mult(a, b), a)) = mult(mult(a, c), mult(c, mult(mult(a, b), a))))) | (~(mult(mult(mult(a, c), mult(mult(a, b), a)), c) = mult(mult(a, c), mult(mult(mult(a, b), a), c))))),
% 5.78/5.96 inference(unit_resolution,[status(thm)],[11935, 11934])).
% 5.78/5.96 tff(11937,plain,
% 5.78/5.96 (((~![X0: $i, X1: $i, X2: $i] : ((~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X2, X1)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X1, X2)))))) | (~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X1, X2)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X2, X1)))))))) | ((~((~(mult(mult(mult(a, c), c), mult(mult(a, b), a)) = mult(mult(a, c), mult(c, mult(mult(a, b), a))))) | (~(mult(mult(mult(a, c), mult(mult(a, b), a)), c) = mult(mult(a, c), mult(mult(mult(a, b), a), c)))))) | (~((~(mult(mult(mult(a, c), c), mult(mult(a, b), a)) = mult(mult(a, c), mult(mult(mult(a, b), a), c)))) | (~(mult(mult(mult(a, c), mult(mult(a, b), a)), c) = mult(mult(a, c), mult(c, mult(mult(a, b), a))))))))) <=> ((~![X0: $i, X1: $i, X2: $i] : ((~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X2, X1)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X1, X2)))))) | (~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X1, X2)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X2, X1)))))))) | (~((~(mult(mult(mult(a, c), c), mult(mult(a, b), a)) = mult(mult(a, c), mult(c, mult(mult(a, b), a))))) | (~(mult(mult(mult(a, c), mult(mult(a, b), a)), c) = mult(mult(a, c), mult(mult(mult(a, b), a), c)))))) | (~((~(mult(mult(mult(a, c), c), mult(mult(a, b), a)) = mult(mult(a, c), mult(mult(mult(a, b), a), c)))) | (~(mult(mult(mult(a, c), mult(mult(a, b), a)), c) = mult(mult(a, c), mult(c, mult(mult(a, b), a))))))))),
% 5.78/5.96 inference(rewrite,[status(thm)],[])).
% 5.78/5.96 tff(11938,plain,
% 5.78/5.96 (((~((~(mult(mult(mult(a, c), c), mult(mult(a, b), a)) = mult(mult(a, c), mult(mult(mult(a, b), a), c)))) | (~(mult(mult(mult(a, c), mult(mult(a, b), a)), c) = mult(mult(a, c), mult(c, mult(mult(a, b), a))))))) | (~((~(mult(mult(mult(a, c), c), mult(mult(a, b), a)) = mult(mult(a, c), mult(c, mult(mult(a, b), a))))) | (~(mult(mult(mult(a, c), mult(mult(a, b), a)), c) = mult(mult(a, c), mult(mult(mult(a, b), a), c))))))) <=> ((~((~(mult(mult(mult(a, c), c), mult(mult(a, b), a)) = mult(mult(a, c), mult(c, mult(mult(a, b), a))))) | (~(mult(mult(mult(a, c), mult(mult(a, b), a)), c) = mult(mult(a, c), mult(mult(mult(a, b), a), c)))))) | (~((~(mult(mult(mult(a, c), c), mult(mult(a, b), a)) = mult(mult(a, c), mult(mult(mult(a, b), a), c)))) | (~(mult(mult(mult(a, c), mult(mult(a, b), a)), c) = mult(mult(a, c), mult(c, mult(mult(a, b), a))))))))),
% 5.78/5.96 inference(rewrite,[status(thm)],[])).
% 5.78/5.96 tff(11939,plain,
% 5.78/5.96 (((~![X0: $i, X1: $i, X2: $i] : ((~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X2, X1)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X1, X2)))))) | (~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X1, X2)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X2, X1)))))))) | ((~((~(mult(mult(mult(a, c), c), mult(mult(a, b), a)) = mult(mult(a, c), mult(mult(mult(a, b), a), c)))) | (~(mult(mult(mult(a, c), mult(mult(a, b), a)), c) = mult(mult(a, c), mult(c, mult(mult(a, b), a))))))) | (~((~(mult(mult(mult(a, c), c), mult(mult(a, b), a)) = mult(mult(a, c), mult(c, mult(mult(a, b), a))))) | (~(mult(mult(mult(a, c), mult(mult(a, b), a)), c) = mult(mult(a, c), mult(mult(mult(a, b), a), c)))))))) <=> ((~![X0: $i, X1: $i, X2: $i] : ((~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X2, X1)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X1, X2)))))) | (~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X1, X2)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X2, X1)))))))) | ((~((~(mult(mult(mult(a, c), c), mult(mult(a, b), a)) = mult(mult(a, c), mult(c, mult(mult(a, b), a))))) | (~(mult(mult(mult(a, c), mult(mult(a, b), a)), c) = mult(mult(a, c), mult(mult(mult(a, b), a), c)))))) | (~((~(mult(mult(mult(a, c), c), mult(mult(a, b), a)) = mult(mult(a, c), mult(mult(mult(a, b), a), c)))) | (~(mult(mult(mult(a, c), mult(mult(a, b), a)), c) = mult(mult(a, c), mult(c, mult(mult(a, b), a)))))))))),
% 5.78/5.96 inference(monotonicity,[status(thm)],[11938])).
% 5.78/5.96 tff(11940,plain,
% 5.78/5.96 (((~![X0: $i, X1: $i, X2: $i] : ((~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X2, X1)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X1, X2)))))) | (~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X1, X2)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X2, X1)))))))) | ((~((~(mult(mult(mult(a, c), c), mult(mult(a, b), a)) = mult(mult(a, c), mult(mult(mult(a, b), a), c)))) | (~(mult(mult(mult(a, c), mult(mult(a, b), a)), c) = mult(mult(a, c), mult(c, mult(mult(a, b), a))))))) | (~((~(mult(mult(mult(a, c), c), mult(mult(a, b), a)) = mult(mult(a, c), mult(c, mult(mult(a, b), a))))) | (~(mult(mult(mult(a, c), mult(mult(a, b), a)), c) = mult(mult(a, c), mult(mult(mult(a, b), a), c)))))))) <=> ((~![X0: $i, X1: $i, X2: $i] : ((~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X2, X1)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X1, X2)))))) | (~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X1, X2)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X2, X1)))))))) | (~((~(mult(mult(mult(a, c), c), mult(mult(a, b), a)) = mult(mult(a, c), mult(c, mult(mult(a, b), a))))) | (~(mult(mult(mult(a, c), mult(mult(a, b), a)), c) = mult(mult(a, c), mult(mult(mult(a, b), a), c)))))) | (~((~(mult(mult(mult(a, c), c), mult(mult(a, b), a)) = mult(mult(a, c), mult(mult(mult(a, b), a), c)))) | (~(mult(mult(mult(a, c), mult(mult(a, b), a)), c) = mult(mult(a, c), mult(c, mult(mult(a, b), a))))))))),
% 5.78/5.96 inference(transitivity,[status(thm)],[11939, 11937])).
% 5.78/5.96 tff(11941,plain,
% 5.78/5.96 ((~![X0: $i, X1: $i, X2: $i] : ((~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X2, X1)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X1, X2)))))) | (~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X1, X2)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X2, X1)))))))) | ((~((~(mult(mult(mult(a, c), c), mult(mult(a, b), a)) = mult(mult(a, c), mult(mult(mult(a, b), a), c)))) | (~(mult(mult(mult(a, c), mult(mult(a, b), a)), c) = mult(mult(a, c), mult(c, mult(mult(a, b), a))))))) | (~((~(mult(mult(mult(a, c), c), mult(mult(a, b), a)) = mult(mult(a, c), mult(c, mult(mult(a, b), a))))) | (~(mult(mult(mult(a, c), mult(mult(a, b), a)), c) = mult(mult(a, c), mult(mult(mult(a, b), a), c)))))))),
% 5.78/5.96 inference(quant_inst,[status(thm)],[])).
% 5.78/5.96 tff(11942,plain,
% 5.78/5.96 ((~![X0: $i, X1: $i, X2: $i] : ((~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X2, X1)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X1, X2)))))) | (~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X1, X2)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X2, X1)))))))) | (~((~(mult(mult(mult(a, c), c), mult(mult(a, b), a)) = mult(mult(a, c), mult(c, mult(mult(a, b), a))))) | (~(mult(mult(mult(a, c), mult(mult(a, b), a)), c) = mult(mult(a, c), mult(mult(mult(a, b), a), c)))))) | (~((~(mult(mult(mult(a, c), c), mult(mult(a, b), a)) = mult(mult(a, c), mult(mult(mult(a, b), a), c)))) | (~(mult(mult(mult(a, c), mult(mult(a, b), a)), c) = mult(mult(a, c), mult(c, mult(mult(a, b), a)))))))),
% 5.78/5.96 inference(modus_ponens,[status(thm)],[11941, 11940])).
% 5.78/5.96 tff(11943,plain,
% 5.78/5.96 ($false),
% 5.78/5.96 inference(unit_resolution,[status(thm)],[11942, 30, 11936, 11792])).
% 5.78/5.96 tff(11944,plain,((mult(mult(a, mult(b, mult(c, a))), a) = mult(a, mult(a, mult(b, mult(c, a))))) | (~(mult(mult(mult(a, c), a), b) = mult(mult(a, c), mult(b, a)))) | (~(mult(mult(mult(a, b), c), a) = mult(mult(a, b), mult(a, c)))) | (mult(mult(c, mult(b, a)), a) = mult(c, mult(mult(b, a), a))) | (~(mult(mult(c, a), b) = mult(c, mult(b, a)))) | (~(mult(mult(mult(a, b), a), mult(a, c)) = mult(mult(a, b), mult(mult(a, c), a)))) | (~(mult(mult(a, mult(a, b)), mult(c, a)) = mult(a, mult(mult(a, b), mult(c, a))))) | (~(mult(mult(a, b), mult(c, a)) = mult(a, mult(b, mult(c, a))))) | (mult(mult(mult(a, c), b), a) = mult(mult(a, c), mult(b, a))) | (~(mult(mult(a, mult(c, a)), b) = mult(a, mult(mult(c, a), b)))) | (mult(mult(a, mult(b, a)), c) = mult(a, mult(c, mult(b, a)))) | (~(mult(mult(b, mult(a, b)), a) = mult(b, mult(mult(a, b), a)))) | (~(mult(mult(mult(b, a), b), a) = mult(mult(b, a), mult(b, a)))) | (~(mult(mult(a, b), mult(a, mult(a, c))) = mult(a, mult(b, mult(a, mult(a, c)))))) | (~(mult(mult(a, a), mult(b, a)) = mult(a, mult(a, mult(b, a))))) | (~(mult(mult(mult(a, a), c), b) = mult(mult(a, a), mult(c, b))))), inference(lemma,lemma(discharge,[]))).
% 5.78/5.97 tff(11945,plain,
% 5.78/5.97 (mult(mult(a, mult(b, mult(c, a))), a) = mult(a, mult(a, mult(b, mult(c, a))))),
% 5.78/5.97 inference(unit_resolution,[status(thm)],[11944, 10913, 168, 10730, 342, 11017, 10890, 754, 614, 742, 10743, 11026, 11025, 10565, 11024, 11023])).
% 5.78/5.97 tff(11946,plain,
% 5.78/5.97 (mult(mult(a, a), mult(mult(c, a), b)) = mult(a, mult(a, mult(mult(c, a), b)))),
% 5.78/5.97 inference(unit_resolution,[status(thm)],[11054, 10836, 10737, 10728, 342])).
% 5.78/5.97 tff(11947,plain,
% 5.78/5.97 (mult(mult(mult(mult(b, a), mult(a, c)), b), a) = mult(mult(mult(b, a), mult(a, c)), mult(a, b))),
% 5.78/5.97 inference(unit_resolution,[status(thm)],[7881, 10942])).
% 5.78/5.97 tff(11948,plain,
% 5.78/5.97 (mult(mult(b, a), mult(mult(mult(c, a), b), a)) = mult(mult(b, a), mult(c, mult(mult(a, b), a)))),
% 5.78/5.97 inference(monotonicity,[status(thm)],[2807])).
% 5.78/5.97 tff(11949,plain,
% 5.78/5.97 (~(mult(b, mult(c, a)) = mult(b, mult(a, c)))),
% 5.78/5.97 inference(modus_ponens,[status(thm)],[3450, 5986])).
% 5.78/5.97 tff(11950,plain,
% 5.78/5.97 (~(mult(c, a) = mult(a, c))),
% 5.78/5.97 inference(unit_resolution,[status(thm)],[2459, 11949])).
% 5.78/5.97 tff(11951,plain,
% 5.78/5.97 (~(mult(mult(b, mult(a, c)), a) = mult(b, mult(mult(a, c), a)))),
% 5.78/5.97 inference(unit_resolution,[status(thm)],[5723, 3450])).
% 5.78/5.97 tff(11952,plain,
% 5.78/5.97 (~(mult(mult(b, a), mult(a, c)) = mult(b, mult(a, mult(a, c))))),
% 5.78/5.97 inference(unit_resolution,[status(thm)],[11318, 11951])).
% 5.78/5.97 tff(11953,plain,
% 5.78/5.97 (mult(mult(b, mult(a, mult(a, c))), a) = mult(b, mult(a, mult(a, mult(a, c))))),
% 5.78/5.97 inference(unit_resolution,[status(thm)],[11340, 11952])).
% 5.78/5.97 tff(11954,plain,
% 5.78/5.97 (mult(mult(b, a), mult(a, mult(a, c))) = mult(b, mult(mult(a, mult(a, c)), a))),
% 5.78/5.97 inference(unit_resolution,[status(thm)],[11362, 11953])).
% 5.78/5.97 tff(11955,plain,
% 5.78/5.97 ((mult(mult(a, a), mult(c, mult(b, a))) = mult(mult(mult(a, a), mult(b, a)), c)) <=> (mult(mult(mult(a, a), mult(b, a)), c) = mult(mult(a, a), mult(c, mult(b, a))))),
% 5.78/5.97 inference(commutativity,[status(thm)],[])).
% 5.78/5.97 tff(11956,plain,
% 5.78/5.97 (mult(a, mult(a, mult(b, a))) = mult(mult(a, a), mult(b, a))),
% 5.78/5.97 inference(symmetry,[status(thm)],[11024])).
% 5.78/5.97 tff(11957,plain,
% 5.78/5.97 (mult(a, mult(mult(a, b), a)) = mult(mult(a, a), mult(b, a))),
% 5.78/5.97 inference(transitivity,[status(thm)],[7623, 11956])).
% 5.78/5.97 tff(11958,plain,
% 5.78/5.97 (mult(mult(a, mult(mult(a, b), a)), c) = mult(mult(mult(a, a), mult(b, a)), c)),
% 5.78/5.97 inference(monotonicity,[status(thm)],[11957])).
% 5.78/5.97 tff(11959,plain,
% 5.78/5.97 (mult(a, mult(mult(mult(a, b), a), c)) = mult(mult(a, mult(mult(a, b), a)), c)),
% 5.78/5.97 inference(symmetry,[status(thm)],[10896])).
% 5.78/5.97 tff(11960,plain,
% 5.78/5.97 (mult(a, mult(a, mult(b, mult(c, a)))) = mult(mult(mult(a, a), mult(b, a)), c)),
% 5.78/5.97 inference(transitivity,[status(thm)],[11099, 11959, 11958])).
% 5.78/5.97 tff(11961,plain,
% 5.78/5.97 (mult(mult(a, a), mult(mult(c, a), b)) = mult(mult(a, a), mult(c, mult(b, a)))),
% 5.78/5.97 inference(symmetry,[status(thm)],[11073])).
% 5.78/5.97 tff(11962,plain,
% 5.78/5.97 (mult(a, mult(a, mult(mult(c, a), b))) = mult(mult(a, a), mult(mult(c, a), b))),
% 5.78/5.97 inference(symmetry,[status(thm)],[11072])).
% 5.78/5.97 tff(11963,plain,
% 5.78/5.97 (mult(mult(a, c), mult(b, a)) = mult(a, mult(mult(c, a), b))),
% 5.78/5.97 inference(transitivity,[status(thm)],[10728, 1282])).
% 5.78/5.97 tff(11964,plain,
% 5.78/5.97 (mult(a, mult(mult(a, c), mult(b, a))) = mult(a, mult(a, mult(mult(c, a), b)))),
% 5.78/5.97 inference(monotonicity,[status(thm)],[11963])).
% 5.78/5.97 tff(11965,assumption,(mult(mult(a, mult(b, a)), mult(a, c)) = mult(a, mult(mult(a, c), mult(b, a)))), introduced(assumption)).
% 5.78/5.97 tff(11966,plain,
% 5.78/5.97 (mult(mult(a, mult(b, mult(c, a))), a) = mult(mult(a, a), mult(c, mult(b, a)))),
% 5.78/5.97 inference(transitivity,[status(thm)],[11093, 11096, 11018, 11304, 11965, 11964, 11962, 11961])).
% 5.78/5.97 tff(11967,plain,
% 5.78/5.97 ((mult(mult(a, mult(b, mult(c, a))), a) = mult(a, mult(a, mult(b, mult(c, a))))) <=> (mult(mult(a, a), mult(c, mult(b, a))) = mult(mult(mult(a, a), mult(b, a)), c))),
% 5.78/5.97 inference(monotonicity,[status(thm)],[11966, 11960])).
% 5.78/5.97 tff(11968,plain,
% 5.78/5.97 ((mult(mult(a, mult(b, mult(c, a))), a) = mult(a, mult(a, mult(b, mult(c, a))))) <=> (mult(mult(mult(a, a), mult(b, a)), c) = mult(mult(a, a), mult(c, mult(b, a))))),
% 5.78/5.97 inference(transitivity,[status(thm)],[11967, 11955])).
% 5.78/5.97 tff(11969,assumption,(mult(mult(a, mult(b, mult(c, a))), a) = mult(a, mult(a, mult(b, mult(c, a))))), introduced(assumption)).
% 5.78/5.97 tff(11970,plain,
% 5.78/5.97 (mult(mult(mult(a, a), mult(b, a)), c) = mult(mult(a, a), mult(c, mult(b, a)))),
% 5.78/5.97 inference(modus_ponens,[status(thm)],[11969, 11968])).
% 5.78/5.97 tff(11971,plain,
% 5.78/5.97 (~(mult(mult(mult(b, a), mult(a, mult(a, c))), b) = mult(mult(b, a), mult(mult(a, mult(a, c)), b)))),
% 5.78/5.97 inference(unit_resolution,[status(thm)],[11386, 11366, 10947, 2466, 11367, 914, 368, 342])).
% 5.78/5.97 tff(11972,plain,
% 5.78/5.97 ((~(mult(mult(mult(b, a), b), mult(a, mult(a, c))) = mult(mult(b, a), mult(b, mult(a, mult(a, c)))))) | (~(mult(mult(mult(b, a), mult(a, mult(a, c))), b) = mult(mult(b, a), mult(mult(a, mult(a, c)), b))))),
% 5.78/5.97 inference(unit_resolution,[status(thm)],[11434, 11971])).
% 5.78/5.97 tff(11973,plain,
% 5.78/5.97 (~((~(mult(mult(mult(b, a), b), mult(a, mult(a, c))) = mult(mult(b, a), mult(mult(a, mult(a, c)), b)))) | (~(mult(mult(mult(b, a), mult(a, mult(a, c))), b) = mult(mult(b, a), mult(b, mult(a, mult(a, c)))))))),
% 5.78/5.97 inference(unit_resolution,[status(thm)],[11442, 11972])).
% 5.78/5.97 tff(11974,plain,
% 5.78/5.97 (mult(mult(mult(b, a), mult(a, mult(a, c))), b) = mult(mult(b, a), mult(b, mult(a, mult(a, c))))),
% 5.78/5.97 inference(unit_resolution,[status(thm)],[11444, 11973])).
% 5.78/5.97 tff(11975,plain,
% 5.78/5.97 (mult(mult(b, a), mult(a, mult(mult(c, a), b))) = mult(mult(b, a), mult(b, mult(a, mult(a, c))))),
% 5.78/5.97 inference(transitivity,[status(thm)],[11134, 11412, 11411, 11410, 11974])).
% 5.78/5.97 tff(11976,plain,
% 5.78/5.97 (ld(mult(b, a), mult(mult(b, a), mult(a, mult(mult(c, a), b)))) = ld(mult(b, a), mult(mult(b, a), mult(b, mult(a, mult(a, c)))))),
% 5.78/5.97 inference(monotonicity,[status(thm)],[11975])).
% 5.78/5.97 tff(11977,plain,
% 5.78/5.97 (ld(mult(b, a), mult(mult(b, a), mult(b, mult(a, mult(a, c))))) = ld(mult(b, a), mult(mult(b, a), mult(a, mult(mult(c, a), b))))),
% 5.78/5.97 inference(symmetry,[status(thm)],[11976])).
% 5.78/5.97 tff(11978,plain,
% 5.78/5.97 ((~![B: $i, A: $i] : (ld(A, mult(A, B)) = B)) | (ld(a, mult(a, mult(b, mult(a, mult(a, c))))) = mult(b, mult(a, mult(a, c))))),
% 5.78/5.97 inference(quant_inst,[status(thm)],[])).
% 5.78/5.97 tff(11979,plain,
% 5.78/5.97 (ld(a, mult(a, mult(b, mult(a, mult(a, c))))) = mult(b, mult(a, mult(a, c)))),
% 5.78/5.97 inference(unit_resolution,[status(thm)],[11978, 9])).
% 5.78/5.97 tff(11980,plain,
% 5.78/5.97 (mult(b, mult(a, mult(a, c))) = mult(a, mult(mult(c, a), b))),
% 5.78/5.97 inference(transitivity,[status(thm)],[11496, 11977, 11133])).
% 5.78/5.97 tff(11981,plain,
% 5.78/5.97 (mult(a, mult(b, mult(a, mult(a, c)))) = mult(a, mult(a, mult(mult(c, a), b)))),
% 5.78/5.97 inference(monotonicity,[status(thm)],[11980])).
% 5.78/5.97 tff(11982,plain,
% 5.78/5.97 (mult(a, mult(a, mult(mult(c, a), b))) = mult(a, mult(b, mult(a, mult(a, c))))),
% 5.78/5.97 inference(symmetry,[status(thm)],[11981])).
% 5.78/5.97 tff(11983,assumption,(mult(mult(mult(a, a), mult(b, a)), c) = mult(mult(a, a), mult(c, mult(b, a)))), introduced(assumption)).
% 5.78/5.97 tff(11984,plain,
% 5.78/5.97 (mult(a, mult(mult(mult(a, b), a), c)) = mult(a, mult(b, mult(a, mult(a, c))))),
% 5.78/5.97 inference(transitivity,[status(thm)],[11959, 11958, 11983, 11073, 11072, 11982])).
% 5.78/5.97 tff(11985,plain,
% 5.78/5.97 (ld(a, mult(a, mult(mult(mult(a, b), a), c))) = ld(a, mult(a, mult(b, mult(a, mult(a, c)))))),
% 5.78/5.97 inference(monotonicity,[status(thm)],[11984])).
% 5.78/5.97 tff(11986,plain,
% 5.78/5.97 ((~![B: $i, A: $i] : (ld(A, mult(A, B)) = B)) | (ld(a, mult(a, mult(mult(mult(a, b), a), c))) = mult(mult(mult(a, b), a), c))),
% 5.78/5.97 inference(quant_inst,[status(thm)],[])).
% 5.78/5.97 tff(11987,plain,
% 5.78/5.97 (ld(a, mult(a, mult(mult(mult(a, b), a), c))) = mult(mult(mult(a, b), a), c)),
% 5.78/5.97 inference(unit_resolution,[status(thm)],[11986, 9])).
% 5.78/5.97 tff(11988,plain,
% 5.78/5.97 (mult(mult(mult(a, b), a), c) = ld(a, mult(a, mult(mult(mult(a, b), a), c)))),
% 5.78/5.97 inference(symmetry,[status(thm)],[11987])).
% 5.78/5.97 tff(11989,plain,
% 5.78/5.97 (mult(mult(a, mult(b, a)), c) = mult(a, mult(c, mult(b, a)))),
% 5.78/5.97 inference(transitivity,[status(thm)],[8336, 11988, 11985, 11979, 11496, 11977, 11133, 2430])).
% 5.78/5.97 tff(11990,plain,
% 5.78/5.97 ($false),
% 5.78/5.97 inference(unit_resolution,[status(thm)],[10743, 11989])).
% 5.78/5.97 tff(11991,plain,((~(mult(mult(mult(b, a), mult(a, c)), mult(b, a)) = mult(mult(b, a), mult(mult(a, c), mult(b, a))))) | (mult(mult(a, mult(b, a)), c) = mult(a, mult(c, mult(b, a)))) | (~(mult(mult(mult(mult(b, a), mult(a, c)), a), b) = mult(mult(mult(b, a), mult(a, c)), mult(b, a)))) | (~(mult(mult(b, a), mult(a, mult(a, c))) = mult(b, mult(mult(a, mult(a, c)), a)))) | (~(mult(mult(a, c), mult(b, a)) = mult(a, mult(c, mult(b, a))))) | (~(mult(mult(c, a), b) = mult(c, mult(b, a)))) | (~(mult(mult(a, mult(mult(a, b), a)), c) = mult(a, mult(mult(mult(a, b), a), c)))) | (~(mult(mult(mult(a, a), mult(b, a)), c) = mult(mult(a, a), mult(c, mult(b, a))))) | (~(mult(mult(a, a), mult(mult(c, a), b)) = mult(a, mult(a, mult(mult(c, a), b))))) | (~(mult(mult(a, a), mult(b, a)) = mult(a, mult(a, mult(b, a))))) | (mult(c, a) = mult(a, c)) | (~(mult(mult(a, mult(a, c)), b) = mult(a, mult(mult(a, c), b))))), inference(lemma,lemma(discharge,[]))).
% 5.78/5.97 tff(11992,plain,
% 5.78/5.97 (~(mult(mult(mult(b, a), mult(a, c)), mult(b, a)) = mult(mult(b, a), mult(mult(a, c), mult(b, a))))),
% 5.78/5.97 inference(unit_resolution,[status(thm)],[11991, 11970, 10947, 11954, 10728, 342, 10896, 10743, 11072, 11024, 11950, 914])).
% 5.78/5.97 tff(11993,plain,
% 5.78/5.97 ((~(mult(mult(mult(b, a), mult(a, c)), mult(b, a)) = mult(mult(b, a), mult(mult(a, c), mult(b, a))))) | (~(mult(mult(mult(b, a), mult(b, a)), mult(a, c)) = mult(mult(b, a), mult(mult(b, a), mult(a, c)))))),
% 5.78/5.97 inference(unit_resolution,[status(thm)],[11151, 11992])).
% 5.78/5.97 tff(11994,plain,
% 5.78/5.97 (~((~(mult(mult(mult(b, a), mult(b, a)), mult(a, c)) = mult(mult(b, a), mult(mult(a, c), mult(b, a))))) | (~(mult(mult(mult(b, a), mult(a, c)), mult(b, a)) = mult(mult(b, a), mult(mult(b, a), mult(a, c))))))),
% 5.78/5.97 inference(unit_resolution,[status(thm)],[11149, 11993])).
% 5.78/5.97 tff(11995,plain,
% 5.78/5.97 (((~(mult(mult(mult(b, a), mult(b, a)), mult(a, c)) = mult(mult(b, a), mult(mult(a, c), mult(b, a))))) | (~(mult(mult(mult(b, a), mult(a, c)), mult(b, a)) = mult(mult(b, a), mult(mult(b, a), mult(a, c)))))) | (mult(mult(mult(b, a), mult(b, a)), mult(a, c)) = mult(mult(b, a), mult(mult(a, c), mult(b, a))))),
% 5.78/5.97 inference(tautology,[status(thm)],[])).
% 5.78/5.97 tff(11996,plain,
% 5.78/5.97 (mult(mult(mult(b, a), mult(b, a)), mult(a, c)) = mult(mult(b, a), mult(mult(a, c), mult(b, a)))),
% 5.78/5.97 inference(unit_resolution,[status(thm)],[11995, 11994])).
% 5.78/5.97 tff(11997,assumption,(~(mult(mult(mult(b, a), c), mult(mult(a, b), a)) = mult(mult(b, a), mult(c, mult(mult(a, b), a))))), introduced(assumption)).
% 5.78/5.97 tff(11998,plain,
% 5.78/5.97 ((mult(mult(b, a), mult(a, mult(mult(c, a), b))) = mult(mult(mult(b, a), mult(mult(c, a), b)), a)) <=> (mult(mult(mult(b, a), mult(mult(c, a), b)), a) = mult(mult(b, a), mult(a, mult(mult(c, a), b))))),
% 5.78/5.97 inference(commutativity,[status(thm)],[])).
% 5.78/5.97 tff(11999,plain,
% 5.78/5.97 ((mult(mult(b, a), mult(a, mult(mult(c, a), b))) = mult(b, mult(mult(a, mult(mult(c, a), b)), a))) <=> (mult(mult(b, a), mult(a, mult(mult(c, a), b))) = mult(mult(mult(b, a), mult(mult(c, a), b)), a))),
% 5.78/5.97 inference(monotonicity,[status(thm)],[11399])).
% 5.78/5.97 tff(12000,plain,
% 5.78/5.97 ((mult(mult(b, a), mult(a, mult(mult(c, a), b))) = mult(b, mult(mult(a, mult(mult(c, a), b)), a))) <=> (mult(mult(mult(b, a), mult(mult(c, a), b)), a) = mult(mult(b, a), mult(a, mult(mult(c, a), b))))),
% 5.78/5.97 inference(transitivity,[status(thm)],[11999, 11998])).
% 5.78/5.97 tff(12001,plain,
% 5.78/5.97 ((mult(mult(mult(b, a), mult(mult(c, a), b)), a) = mult(mult(b, a), mult(a, mult(mult(c, a), b)))) <=> (mult(mult(b, a), mult(a, mult(mult(c, a), b))) = mult(b, mult(mult(a, mult(mult(c, a), b)), a)))),
% 5.78/5.97 inference(symmetry,[status(thm)],[12000])).
% 5.78/5.97 tff(12002,plain,
% 5.78/5.97 ((~(mult(mult(mult(b, a), mult(mult(c, a), b)), a) = mult(mult(b, a), mult(a, mult(mult(c, a), b))))) <=> (~(mult(mult(b, a), mult(a, mult(mult(c, a), b))) = mult(b, mult(mult(a, mult(mult(c, a), b)), a))))),
% 5.78/5.97 inference(monotonicity,[status(thm)],[12001])).
% 5.78/5.97 tff(12003,assumption,(~(mult(mult(mult(b, a), mult(mult(c, a), b)), a) = mult(mult(b, a), mult(a, mult(mult(c, a), b))))), introduced(assumption)).
% 5.78/5.97 tff(12004,plain,
% 5.78/5.97 (~(mult(mult(b, a), mult(a, mult(mult(c, a), b))) = mult(b, mult(mult(a, mult(mult(c, a), b)), a)))),
% 5.78/5.97 inference(modus_ponens,[status(thm)],[12003, 12002])).
% 5.78/5.97 tff(12005,plain,
% 5.78/5.97 ((~(mult(mult(b, a), mult(a, mult(mult(c, a), b))) = mult(b, mult(mult(a, mult(mult(c, a), b)), a)))) | (~(mult(mult(b, mult(a, mult(mult(c, a), b))), a) = mult(b, mult(a, mult(a, mult(mult(c, a), b))))))),
% 5.78/5.97 inference(unit_resolution,[status(thm)],[11419, 12004])).
% 5.78/5.97 tff(12006,plain,
% 5.78/5.97 (~((~(mult(mult(b, mult(a, mult(mult(c, a), b))), a) = mult(b, mult(mult(a, mult(mult(c, a), b)), a)))) | (~(mult(mult(b, a), mult(a, mult(mult(c, a), b))) = mult(b, mult(a, mult(a, mult(mult(c, a), b)))))))),
% 5.78/5.97 inference(unit_resolution,[status(thm)],[11427, 12005])).
% 5.78/5.97 tff(12007,plain,
% 5.78/5.97 (mult(mult(b, a), mult(a, mult(mult(c, a), b))) = mult(b, mult(a, mult(a, mult(mult(c, a), b))))),
% 5.78/5.97 inference(unit_resolution,[status(thm)],[11429, 12006])).
% 5.78/5.97 tff(12008,plain,
% 5.78/5.97 (mult(b, mult(a, mult(a, mult(mult(c, a), b)))) = mult(mult(b, a), mult(a, mult(mult(c, a), b)))),
% 5.78/5.97 inference(symmetry,[status(thm)],[12007])).
% 5.78/5.97 tff(12009,plain,
% 5.78/5.97 (mult(a, mult(mult(a, c), mult(b, a))) = mult(mult(a, mult(b, a)), mult(a, c))),
% 5.78/5.97 inference(symmetry,[status(thm)],[11965])).
% 5.78/5.97 tff(12010,plain,
% 5.78/5.97 (mult(a, mult(a, mult(mult(c, a), b))) = mult(a, mult(mult(a, c), mult(b, a)))),
% 5.78/5.97 inference(monotonicity,[status(thm)],[11032])).
% 5.78/5.97 tff(12011,plain,
% 5.78/5.97 (mult(a, mult(a, mult(mult(c, a), b))) = mult(mult(mult(mult(a, b), a), c), a)),
% 5.78/5.97 inference(transitivity,[status(thm)],[12010, 12009, 11305, 11017, 11097])).
% 5.78/5.97 tff(12012,plain,
% 5.78/5.97 (mult(b, mult(a, mult(a, mult(mult(c, a), b)))) = mult(b, mult(mult(mult(mult(a, b), a), c), a))),
% 5.78/5.97 inference(monotonicity,[status(thm)],[12011])).
% 5.78/5.97 tff(12013,plain,
% 5.78/5.97 (mult(b, mult(mult(mult(mult(a, b), a), c), a)) = mult(b, mult(a, mult(a, mult(mult(c, a), b))))),
% 5.78/5.97 inference(symmetry,[status(thm)],[12012])).
% 5.78/5.97 tff(12014,plain,
% 5.78/5.97 ((~(mult(mult(mult(b, a), a), mult(mult(c, a), b)) = mult(mult(b, a), mult(mult(mult(c, a), b), a)))) | (~(mult(mult(mult(b, a), mult(mult(c, a), b)), a) = mult(mult(b, a), mult(a, mult(mult(c, a), b)))))),
% 5.78/5.97 inference(unit_resolution,[status(thm)],[11210, 12003])).
% 5.78/5.97 tff(12015,plain,
% 5.78/5.97 (~((~(mult(mult(mult(b, a), a), mult(mult(c, a), b)) = mult(mult(b, a), mult(a, mult(mult(c, a), b))))) | (~(mult(mult(mult(b, a), mult(mult(c, a), b)), a) = mult(mult(b, a), mult(mult(mult(c, a), b), a)))))),
% 5.78/5.97 inference(unit_resolution,[status(thm)],[11218, 12014])).
% 5.78/5.97 tff(12016,plain,
% 5.78/5.97 (mult(mult(mult(b, a), mult(mult(c, a), b)), a) = mult(mult(b, a), mult(mult(mult(c, a), b), a))),
% 5.78/5.97 inference(unit_resolution,[status(thm)],[11220, 12015])).
% 5.78/5.97 tff(12017,plain,
% 5.78/5.97 (mult(b, mult(mult(mult(a, c), a), mult(a, b))) = mult(mult(b, a), mult(c, mult(mult(a, b), a)))),
% 5.78/5.97 inference(transitivity,[status(thm)],[11170, 11399, 12016, 11315])).
% 5.78/5.97 tff(12018,plain,
% 5.78/5.97 (mult(mult(b, mult(mult(a, c), a)), mult(a, b)) = mult(mult(mult(b, a), c), mult(mult(a, b), a))),
% 5.78/5.97 inference(transitivity,[status(thm)],[11585, 11390, 4201, 4198, 11610])).
% 5.78/5.97 tff(12019,plain,
% 5.78/5.97 ((mult(mult(b, mult(mult(a, c), a)), mult(a, b)) = mult(b, mult(mult(mult(a, c), a), mult(a, b)))) <=> (mult(mult(mult(b, a), c), mult(mult(a, b), a)) = mult(mult(b, a), mult(c, mult(mult(a, b), a))))),
% 5.78/5.97 inference(monotonicity,[status(thm)],[12018, 12017])).
% 5.78/5.97 tff(12020,plain,
% 5.78/5.97 ((mult(mult(mult(b, a), c), mult(mult(a, b), a)) = mult(mult(b, a), mult(c, mult(mult(a, b), a)))) <=> (mult(mult(b, mult(mult(a, c), a)), mult(a, b)) = mult(b, mult(mult(mult(a, c), a), mult(a, b))))),
% 5.78/5.97 inference(symmetry,[status(thm)],[12019])).
% 5.78/5.97 tff(12021,plain,
% 5.78/5.97 ((~(mult(mult(mult(b, a), c), mult(mult(a, b), a)) = mult(mult(b, a), mult(c, mult(mult(a, b), a))))) <=> (~(mult(mult(b, mult(mult(a, c), a)), mult(a, b)) = mult(b, mult(mult(mult(a, c), a), mult(a, b)))))),
% 5.78/5.97 inference(monotonicity,[status(thm)],[12020])).
% 5.78/5.98 tff(12022,plain,
% 5.78/5.98 (~(mult(mult(b, mult(mult(a, c), a)), mult(a, b)) = mult(b, mult(mult(mult(a, c), a), mult(a, b))))),
% 5.78/5.98 inference(modus_ponens,[status(thm)],[11997, 12021])).
% 5.78/5.98 tff(12023,plain,
% 5.78/5.98 ((~(mult(mult(b, mult(a, b)), mult(mult(a, c), a)) = mult(b, mult(mult(a, b), mult(mult(a, c), a))))) | (~(mult(mult(b, mult(mult(a, c), a)), mult(a, b)) = mult(b, mult(mult(mult(a, c), a), mult(a, b)))))),
% 5.78/5.98 inference(unit_resolution,[status(thm)],[11520, 12022])).
% 5.78/5.98 tff(12024,plain,
% 5.78/5.98 (~((~(mult(mult(b, mult(a, b)), mult(mult(a, c), a)) = mult(b, mult(mult(mult(a, c), a), mult(a, b))))) | (~(mult(mult(b, mult(mult(a, c), a)), mult(a, b)) = mult(b, mult(mult(a, b), mult(mult(a, c), a))))))),
% 5.78/5.98 inference(unit_resolution,[status(thm)],[11528, 12023])).
% 5.78/5.98 tff(12025,plain,
% 5.78/5.98 (mult(mult(b, mult(mult(a, c), a)), mult(a, b)) = mult(b, mult(mult(a, b), mult(mult(a, c), a)))),
% 5.78/5.98 inference(unit_resolution,[status(thm)],[11530, 12024])).
% 5.78/5.98 tff(12026,plain,
% 5.78/5.98 ((~(mult(mult(mult(b, a), mult(mult(a, b), a)), c) = mult(mult(b, a), mult(mult(mult(a, b), a), c)))) | (~(mult(mult(mult(b, a), c), mult(mult(a, b), a)) = mult(mult(b, a), mult(c, mult(mult(a, b), a)))))),
% 5.78/5.98 inference(unit_resolution,[status(thm)],[11230, 11997])).
% 5.78/5.98 tff(12027,plain,
% 5.78/5.98 (~((~(mult(mult(mult(b, a), mult(mult(a, b), a)), c) = mult(mult(b, a), mult(c, mult(mult(a, b), a))))) | (~(mult(mult(mult(b, a), c), mult(mult(a, b), a)) = mult(mult(b, a), mult(mult(mult(a, b), a), c)))))),
% 5.78/5.98 inference(unit_resolution,[status(thm)],[11235, 12026])).
% 5.78/5.98 tff(12028,plain,
% 5.78/5.98 (mult(mult(mult(b, a), c), mult(mult(a, b), a)) = mult(mult(b, a), mult(mult(mult(a, b), a), c))),
% 5.78/5.98 inference(unit_resolution,[status(thm)],[11237, 12027])).
% 5.78/5.98 tff(12029,plain,
% 5.78/5.98 (mult(mult(b, a), mult(mult(mult(a, b), a), c)) = mult(mult(mult(b, a), c), mult(mult(a, b), a))),
% 5.78/5.98 inference(symmetry,[status(thm)],[12028])).
% 5.78/5.98 tff(12030,plain,
% 5.78/5.98 (mult(mult(b, a), mult(mult(mult(a, b), a), c)) = mult(mult(b, a), mult(a, mult(mult(c, a), b)))),
% 5.78/5.98 inference(transitivity,[status(thm)],[12029, 11155, 7884, 11596, 11316, 11595, 12025, 11582, 12013, 12008])).
% 5.78/5.98 tff(12031,plain,
% 5.78/5.98 (ld(mult(b, a), mult(mult(b, a), mult(mult(mult(a, b), a), c))) = ld(mult(b, a), mult(mult(b, a), mult(a, mult(mult(c, a), b))))),
% 5.78/5.98 inference(monotonicity,[status(thm)],[12030])).
% 5.78/5.98 tff(12032,plain,
% 5.78/5.98 (mult(mult(a, mult(b, a)), c) = mult(a, mult(c, mult(b, a)))),
% 5.78/5.98 inference(transitivity,[status(thm)],[8336, 11244, 12031, 11133, 2430])).
% 5.78/5.98 tff(12033,plain,
% 5.78/5.98 ($false),
% 5.78/5.98 inference(unit_resolution,[status(thm)],[10743, 12032])).
% 5.78/5.98 tff(12034,plain,((mult(mult(mult(b, a), mult(mult(c, a), b)), a) = mult(mult(b, a), mult(a, mult(mult(c, a), b)))) | (mult(mult(a, mult(b, a)), c) = mult(a, mult(c, mult(b, a)))) | (~(mult(mult(c, a), b) = mult(c, mult(b, a)))) | (~(mult(mult(mult(mult(b, a), mult(a, c)), b), a) = mult(mult(mult(b, a), mult(a, c)), mult(a, b)))) | (~(mult(mult(mult(a, b), a), mult(a, c)) = mult(mult(a, b), mult(mult(a, c), a)))) | (~(mult(mult(a, mult(b, a)), mult(a, c)) = mult(a, mult(mult(a, c), mult(b, a))))) | (~(mult(mult(a, c), mult(b, a)) = mult(a, mult(c, mult(b, a))))) | (mult(mult(mult(b, a), c), mult(mult(a, b), a)) = mult(mult(b, a), mult(c, mult(mult(a, b), a)))) | (~(mult(mult(mult(a, c), a), mult(a, b)) = mult(mult(a, c), mult(mult(a, b), a)))) | (~(mult(mult(mult(a, c), mult(b, a)), a) = mult(mult(a, c), mult(a, mult(b, a)))))), inference(lemma,lemma(discharge,[]))).
% 5.78/5.98 tff(12035,plain,
% 5.78/5.98 (mult(mult(mult(b, a), mult(mult(c, a), b)), a) = mult(mult(b, a), mult(a, mult(mult(c, a), b)))),
% 5.78/5.98 inference(unit_resolution,[status(thm)],[12034, 11997, 342, 11316, 11017, 11965, 368, 10743, 10864, 10825])).
% 5.78/5.98 tff(12036,assumption,(mult(mult(mult(b, a), mult(b, a)), mult(a, c)) = mult(mult(b, a), mult(mult(a, c), mult(b, a)))), introduced(assumption)).
% 5.78/5.98 tff(12037,plain,
% 5.78/5.98 (mult(mult(b, mult(a, c)), mult(mult(a, b), a)) = mult(mult(mult(b, c), a), mult(mult(a, b), a))),
% 5.78/5.98 inference(symmetry,[status(thm)],[11199])).
% 5.78/5.98 tff(12038,plain,
% 5.78/5.98 (mult(b, mult(mult(mult(a, b), a), mult(a, c))) = mult(b, mult(a, mult(a, mult(mult(c, a), b))))),
% 5.78/5.98 inference(transitivity,[status(thm)],[11547, 12013])).
% 5.78/5.98 tff(12039,plain,
% 5.78/5.98 (mult(mult(a, c), mult(b, a)) = mult(a, mult(mult(c, a), b))),
% 5.78/5.98 inference(transitivity,[status(thm)],[368, 1282])).
% 5.78/5.98 tff(12040,plain,
% 5.78/5.98 (mult(mult(b, a), mult(mult(a, c), mult(b, a))) = mult(mult(b, a), mult(a, mult(mult(c, a), b)))),
% 5.78/5.98 inference(monotonicity,[status(thm)],[12039])).
% 5.78/5.98 tff(12041,plain,
% 5.78/5.98 (mult(b, mult(mult(a, b), a)) = mult(mult(b, a), mult(b, a))),
% 5.78/5.98 inference(transitivity,[status(thm)],[10366, 11025])).
% 5.78/5.98 tff(12042,plain,
% 5.78/5.98 (mult(mult(b, mult(mult(a, b), a)), mult(a, c)) = mult(mult(mult(b, a), mult(b, a)), mult(a, c))),
% 5.78/5.98 inference(monotonicity,[status(thm)],[12041])).
% 5.78/5.98 tff(12043,plain,
% 5.78/5.98 (mult(mult(b, mult(mult(a, b), a)), mult(a, c)) = mult(mult(b, a), mult(a, mult(mult(c, a), b)))),
% 5.78/5.98 inference(transitivity,[status(thm)],[12042, 12036, 12040])).
% 5.78/5.98 tff(12044,plain,
% 5.78/5.98 ((mult(mult(b, mult(mult(a, b), a)), mult(a, c)) = mult(b, mult(mult(mult(a, b), a), mult(a, c)))) <=> (mult(mult(b, a), mult(a, mult(mult(c, a), b))) = mult(b, mult(a, mult(a, mult(mult(c, a), b)))))),
% 5.78/5.98 inference(monotonicity,[status(thm)],[12043, 12038])).
% 5.78/5.98 tff(12045,plain,
% 5.78/5.98 ((mult(mult(b, a), mult(a, mult(mult(c, a), b))) = mult(b, mult(a, mult(a, mult(mult(c, a), b))))) <=> (mult(mult(b, mult(mult(a, b), a)), mult(a, c)) = mult(b, mult(mult(mult(a, b), a), mult(a, c))))),
% 5.78/5.98 inference(symmetry,[status(thm)],[12044])).
% 5.78/5.98 tff(12046,plain,
% 5.78/5.98 ((mult(b, mult(a, mult(a, mult(mult(c, a), b)))) = mult(mult(b, a), mult(a, mult(mult(c, a), b)))) <=> (mult(mult(b, a), mult(a, mult(mult(c, a), b))) = mult(b, mult(a, mult(a, mult(mult(c, a), b)))))),
% 5.78/5.98 inference(commutativity,[status(thm)],[])).
% 5.78/5.98 tff(12047,plain,
% 5.78/5.98 (mult(b, mult(mult(mult(a, c), a), mult(a, b))) = mult(mult(b, a), mult(a, mult(mult(c, a), b)))),
% 5.78/5.98 inference(transitivity,[status(thm)],[11170, 11399, 11567])).
% 5.78/5.98 tff(12048,assumption,(~(mult(mult(b, mult(mult(a, c), a)), mult(a, b)) = mult(b, mult(mult(mult(a, c), a), mult(a, b))))), introduced(assumption)).
% 5.78/5.98 tff(12049,plain,
% 5.78/5.98 ((~(mult(mult(b, mult(a, b)), mult(mult(a, c), a)) = mult(b, mult(mult(a, b), mult(mult(a, c), a))))) | (~(mult(mult(b, mult(mult(a, c), a)), mult(a, b)) = mult(b, mult(mult(mult(a, c), a), mult(a, b)))))),
% 5.78/5.98 inference(unit_resolution,[status(thm)],[11520, 12048])).
% 5.78/5.98 tff(12050,plain,
% 5.78/5.98 (~((~(mult(mult(b, mult(a, b)), mult(mult(a, c), a)) = mult(b, mult(mult(mult(a, c), a), mult(a, b))))) | (~(mult(mult(b, mult(mult(a, c), a)), mult(a, b)) = mult(b, mult(mult(a, b), mult(mult(a, c), a))))))),
% 5.78/5.98 inference(unit_resolution,[status(thm)],[11528, 12049])).
% 5.78/5.98 tff(12051,plain,
% 5.78/5.98 (mult(mult(b, mult(mult(a, c), a)), mult(a, b)) = mult(b, mult(mult(a, b), mult(mult(a, c), a)))),
% 5.78/5.98 inference(unit_resolution,[status(thm)],[11530, 12050])).
% 5.78/5.98 tff(12052,plain,
% 5.78/5.98 (mult(mult(b, mult(mult(a, c), a)), mult(a, b)) = mult(b, mult(a, mult(a, mult(mult(c, a), b))))),
% 5.78/5.98 inference(transitivity,[status(thm)],[12051, 11582, 12013])).
% 5.78/5.98 tff(12053,plain,
% 5.78/5.98 ((mult(mult(b, mult(mult(a, c), a)), mult(a, b)) = mult(b, mult(mult(mult(a, c), a), mult(a, b)))) <=> (mult(b, mult(a, mult(a, mult(mult(c, a), b)))) = mult(mult(b, a), mult(a, mult(mult(c, a), b))))),
% 5.78/5.98 inference(monotonicity,[status(thm)],[12052, 12047])).
% 5.78/5.98 tff(12054,plain,
% 5.78/5.98 ((mult(mult(b, mult(mult(a, c), a)), mult(a, b)) = mult(b, mult(mult(mult(a, c), a), mult(a, b)))) <=> (mult(mult(b, a), mult(a, mult(mult(c, a), b))) = mult(b, mult(a, mult(a, mult(mult(c, a), b)))))),
% 5.78/5.98 inference(transitivity,[status(thm)],[12053, 12046])).
% 5.78/5.98 tff(12055,plain,
% 5.78/5.98 ((mult(mult(b, mult(mult(a, c), a)), mult(a, b)) = mult(b, mult(mult(mult(a, c), a), mult(a, b)))) <=> (mult(mult(b, mult(mult(a, b), a)), mult(a, c)) = mult(b, mult(mult(mult(a, b), a), mult(a, c))))),
% 5.78/5.98 inference(transitivity,[status(thm)],[12054, 12045])).
% 5.78/5.98 tff(12056,plain,
% 5.78/5.98 ((~(mult(mult(b, mult(mult(a, c), a)), mult(a, b)) = mult(b, mult(mult(mult(a, c), a), mult(a, b))))) <=> (~(mult(mult(b, mult(mult(a, b), a)), mult(a, c)) = mult(b, mult(mult(mult(a, b), a), mult(a, c)))))),
% 5.78/5.98 inference(monotonicity,[status(thm)],[12055])).
% 5.78/5.98 tff(12057,plain,
% 5.78/5.98 (~(mult(mult(b, mult(mult(a, b), a)), mult(a, c)) = mult(b, mult(mult(mult(a, b), a), mult(a, c))))),
% 5.78/5.98 inference(modus_ponens,[status(thm)],[12048, 12056])).
% 5.78/5.98 tff(12058,plain,
% 5.78/5.98 ((~(mult(mult(b, mult(a, c)), mult(mult(a, b), a)) = mult(b, mult(mult(a, c), mult(mult(a, b), a))))) | (~(mult(mult(b, mult(mult(a, b), a)), mult(a, c)) = mult(b, mult(mult(mult(a, b), a), mult(a, c)))))),
% 5.78/5.98 inference(unit_resolution,[status(thm)],[11543, 12057])).
% 5.78/5.98 tff(12059,plain,
% 5.78/5.98 (~((~(mult(mult(b, mult(a, c)), mult(mult(a, b), a)) = mult(b, mult(mult(mult(a, b), a), mult(a, c))))) | (~(mult(mult(b, mult(mult(a, b), a)), mult(a, c)) = mult(b, mult(mult(a, c), mult(mult(a, b), a))))))),
% 5.78/5.98 inference(unit_resolution,[status(thm)],[11195, 12058])).
% 5.78/5.98 tff(12060,plain,
% 5.78/5.98 (((~(mult(mult(b, mult(a, c)), mult(mult(a, b), a)) = mult(b, mult(mult(mult(a, b), a), mult(a, c))))) | (~(mult(mult(b, mult(mult(a, b), a)), mult(a, c)) = mult(b, mult(mult(a, c), mult(mult(a, b), a)))))) | (mult(mult(b, mult(a, c)), mult(mult(a, b), a)) = mult(b, mult(mult(mult(a, b), a), mult(a, c))))),
% 5.78/5.98 inference(tautology,[status(thm)],[])).
% 5.78/5.98 tff(12061,plain,
% 5.78/5.98 (mult(mult(b, mult(a, c)), mult(mult(a, b), a)) = mult(b, mult(mult(mult(a, b), a), mult(a, c)))),
% 5.78/5.98 inference(unit_resolution,[status(thm)],[12060, 12059])).
% 5.78/5.98 tff(12062,plain,
% 5.78/5.98 (mult(b, mult(mult(mult(a, b), a), mult(a, c))) = mult(mult(b, mult(a, c)), mult(mult(a, b), a))),
% 5.78/5.98 inference(symmetry,[status(thm)],[12061])).
% 5.78/5.98 tff(12063,plain,
% 5.78/5.98 (mult(mult(b, mult(c, a)), mult(mult(a, b), a)) = mult(mult(mult(b, c), a), mult(mult(a, b), a))),
% 5.78/5.98 inference(transitivity,[status(thm)],[7884, 11596, 11316, 11595, 12051, 11582, 11548, 12062, 12037])).
% 5.78/5.98 tff(12064,plain,
% 5.78/5.98 (rd(mult(mult(b, mult(c, a)), mult(mult(a, b), a)), mult(mult(a, b), a)) = rd(mult(mult(mult(b, c), a), mult(mult(a, b), a)), mult(mult(a, b), a))),
% 5.78/5.98 inference(monotonicity,[status(thm)],[12063])).
% 5.78/5.98 tff(12065,plain,
% 5.78/5.98 (rd(mult(mult(mult(b, c), a), mult(mult(a, b), a)), mult(mult(a, b), a)) = rd(mult(mult(b, mult(c, a)), mult(mult(a, b), a)), mult(mult(a, b), a))),
% 5.78/5.98 inference(symmetry,[status(thm)],[12064])).
% 5.78/5.98 tff(12066,plain,
% 5.78/5.98 (mult(mult(b, c), a) = mult(b, mult(c, a))),
% 5.78/5.98 inference(transitivity,[status(thm)],[11204, 12065, 11164])).
% 5.78/5.98 tff(12067,plain,
% 5.78/5.98 ($false),
% 5.78/5.98 inference(unit_resolution,[status(thm)],[3450, 12066])).
% 5.78/5.98 tff(12068,plain,((mult(mult(b, mult(mult(a, c), a)), mult(a, b)) = mult(b, mult(mult(mult(a, c), a), mult(a, b)))) | (mult(mult(b, c), a) = mult(b, mult(c, a))) | (~(mult(mult(mult(mult(b, a), mult(a, c)), b), a) = mult(mult(mult(b, a), mult(a, c)), mult(a, b)))) | (~(mult(mult(mult(a, b), a), mult(a, c)) = mult(mult(a, b), mult(mult(a, c), a)))) | (~(mult(mult(a, mult(b, a)), mult(a, c)) = mult(a, mult(mult(a, c), mult(b, a))))) | (~(mult(mult(a, c), mult(b, a)) = mult(a, mult(c, mult(b, a))))) | (~(mult(mult(c, a), b) = mult(c, mult(b, a)))) | (~(mult(mult(mult(b, a), mult(b, a)), mult(a, c)) = mult(mult(b, a), mult(mult(a, c), mult(b, a))))) | (~(mult(mult(mult(b, a), b), a) = mult(mult(b, a), mult(b, a)))) | (~(mult(mult(mult(b, a), mult(mult(c, a), b)), a) = mult(mult(b, a), mult(a, mult(mult(c, a), b))))) | (~(mult(mult(mult(a, c), a), mult(a, b)) = mult(mult(a, c), mult(mult(a, b), a)))) | (~(mult(mult(mult(a, c), mult(b, a)), a) = mult(mult(a, c), mult(a, mult(b, a)))))), inference(lemma,lemma(discharge,[]))).
% 5.78/5.98 tff(12069,plain,
% 5.78/5.98 (mult(mult(b, mult(mult(a, c), a)), mult(a, b)) = mult(b, mult(mult(mult(a, c), a), mult(a, b)))),
% 5.78/5.98 inference(unit_resolution,[status(thm)],[12068, 12035, 11316, 11017, 11965, 368, 342, 12036, 11025, 3450, 10864, 10825])).
% 5.78/5.98 tff(12070,plain,
% 5.78/5.98 (mult(mult(b, a), mult(mult(mult(a, b), a), c)) = mult(mult(b, a), mult(a, mult(mult(c, a), b)))),
% 5.78/5.98 inference(transitivity,[status(thm)],[12029, 11155, 7884, 11388, 11316, 11391, 12069, 11170, 11399, 12035])).
% 5.78/5.98 tff(12071,plain,
% 5.78/5.98 (ld(mult(b, a), mult(mult(b, a), mult(mult(mult(a, b), a), c))) = ld(mult(b, a), mult(mult(b, a), mult(a, mult(mult(c, a), b))))),
% 5.78/5.98 inference(monotonicity,[status(thm)],[12070])).
% 5.78/5.98 tff(12072,plain,
% 5.78/5.98 (mult(mult(a, mult(b, a)), c) = mult(a, mult(c, mult(b, a)))),
% 5.78/5.98 inference(transitivity,[status(thm)],[8336, 11244, 12071, 11133, 2430])).
% 5.78/5.98 tff(12073,plain,
% 5.78/5.98 ($false),
% 5.78/5.98 inference(unit_resolution,[status(thm)],[10743, 12072])).
% 5.78/5.98 tff(12074,plain,((mult(mult(mult(b, a), c), mult(mult(a, b), a)) = mult(mult(b, a), mult(c, mult(mult(a, b), a)))) | (mult(mult(a, mult(b, a)), c) = mult(a, mult(c, mult(b, a)))) | (~(mult(mult(c, a), b) = mult(c, mult(b, a)))) | (~(mult(mult(mult(mult(b, a), mult(a, c)), b), a) = mult(mult(mult(b, a), mult(a, c)), mult(a, b)))) | (~(mult(mult(mult(a, c), a), mult(a, b)) = mult(mult(a, c), mult(mult(a, b), a)))) | (~(mult(mult(mult(a, c), mult(b, a)), a) = mult(mult(a, c), mult(a, mult(b, a))))) | (~(mult(mult(a, c), mult(b, a)) = mult(a, mult(c, mult(b, a))))) | (~(mult(mult(mult(a, b), a), mult(a, c)) = mult(mult(a, b), mult(mult(a, c), a)))) | (~(mult(mult(a, mult(b, a)), mult(a, c)) = mult(a, mult(mult(a, c), mult(b, a))))) | (~(mult(mult(mult(b, a), mult(b, a)), mult(a, c)) = mult(mult(b, a), mult(mult(a, c), mult(b, a))))) | (~(mult(mult(mult(b, a), b), a) = mult(mult(b, a), mult(b, a)))) | (mult(mult(b, c), a) = mult(b, mult(c, a)))), inference(lemma,lemma(discharge,[]))).
% 5.78/5.98 tff(12075,plain,
% 5.78/5.98 (mult(mult(mult(b, a), c), mult(mult(a, b), a)) = mult(mult(b, a), mult(c, mult(mult(a, b), a)))),
% 5.78/5.98 inference(unit_resolution,[status(thm)],[12074, 11965, 342, 11316, 10864, 10825, 10728, 11017, 10743, 11996, 11025, 3450])).
% 5.78/5.98 tff(12076,plain,
% 5.78/5.98 (mult(mult(a, mult(mult(c, a), b)), a) = mult(mult(mult(a, c), a), mult(a, b))),
% 5.78/5.98 inference(transitivity,[status(thm)],[11033, 10825, 10731, 11171])).
% 5.78/5.98 tff(12077,plain,
% 5.78/5.98 (mult(b, mult(mult(a, mult(mult(c, a), b)), a)) = mult(b, mult(mult(mult(a, c), a), mult(a, b)))),
% 5.78/5.98 inference(monotonicity,[status(thm)],[12076])).
% 5.78/5.98 tff(12078,plain,
% 5.78/5.98 (mult(b, mult(mult(mult(a, c), a), mult(a, b))) = mult(b, mult(mult(a, mult(mult(c, a), b)), a))),
% 5.78/5.98 inference(symmetry,[status(thm)],[12077])).
% 5.78/5.98 tff(12079,plain,
% 5.78/5.98 (mult(b, mult(mult(a, c), mult(mult(a, b), a))) = mult(b, mult(mult(a, mult(mult(c, a), b)), a))),
% 5.78/5.98 inference(transitivity,[status(thm)],[11172, 12078])).
% 5.78/5.98 tff(12080,plain,
% 5.78/5.98 ((mult(mult(b, mult(mult(a, b), a)), mult(a, c)) = mult(b, mult(mult(a, c), mult(mult(a, b), a)))) <=> (mult(mult(b, a), mult(a, mult(mult(c, a), b))) = mult(b, mult(mult(a, mult(mult(c, a), b)), a)))),
% 5.78/5.98 inference(monotonicity,[status(thm)],[12043, 12079])).
% 5.78/5.98 tff(12081,plain,
% 5.78/5.98 ((mult(mult(b, a), mult(a, mult(mult(c, a), b))) = mult(b, mult(mult(a, mult(mult(c, a), b)), a))) <=> (mult(mult(b, mult(mult(a, b), a)), mult(a, c)) = mult(b, mult(mult(a, c), mult(mult(a, b), a))))),
% 5.78/5.98 inference(symmetry,[status(thm)],[12080])).
% 5.78/5.98 tff(12082,plain,
% 5.78/5.98 ((mult(mult(mult(b, a), mult(mult(c, a), b)), a) = mult(mult(b, a), mult(a, mult(mult(c, a), b)))) <=> (mult(mult(b, mult(mult(a, b), a)), mult(a, c)) = mult(b, mult(mult(a, c), mult(mult(a, b), a))))),
% 5.78/5.98 inference(transitivity,[status(thm)],[11160, 12081])).
% 5.78/5.98 tff(12083,plain,
% 5.78/5.98 ((~(mult(mult(mult(b, a), mult(mult(c, a), b)), a) = mult(mult(b, a), mult(a, mult(mult(c, a), b))))) <=> (~(mult(mult(b, mult(mult(a, b), a)), mult(a, c)) = mult(b, mult(mult(a, c), mult(mult(a, b), a)))))),
% 5.78/5.98 inference(monotonicity,[status(thm)],[12082])).
% 5.78/5.98 tff(12084,plain,
% 5.78/5.98 (~(mult(mult(b, mult(mult(a, b), a)), mult(a, c)) = mult(b, mult(mult(a, c), mult(mult(a, b), a))))),
% 5.78/5.98 inference(modus_ponens,[status(thm)],[12003, 12083])).
% 5.78/5.98 tff(12085,plain,
% 5.78/5.98 ((~(mult(mult(b, mult(a, c)), mult(mult(a, b), a)) = mult(b, mult(mult(mult(a, b), a), mult(a, c))))) | (~(mult(mult(b, mult(mult(a, b), a)), mult(a, c)) = mult(b, mult(mult(a, c), mult(mult(a, b), a)))))),
% 5.78/5.98 inference(unit_resolution,[status(thm)],[11187, 12084])).
% 5.78/5.98 tff(12086,plain,
% 5.78/5.98 (~((~(mult(mult(b, mult(a, c)), mult(mult(a, b), a)) = mult(b, mult(mult(a, c), mult(mult(a, b), a))))) | (~(mult(mult(b, mult(mult(a, b), a)), mult(a, c)) = mult(b, mult(mult(mult(a, b), a), mult(a, c))))))),
% 5.78/5.99 inference(unit_resolution,[status(thm)],[11195, 12085])).
% 5.78/5.99 tff(12087,plain,
% 5.78/5.99 (mult(mult(b, mult(a, c)), mult(mult(a, b), a)) = mult(b, mult(mult(a, c), mult(mult(a, b), a)))),
% 5.78/5.99 inference(unit_resolution,[status(thm)],[11197, 12086])).
% 5.78/5.99 tff(12088,plain,
% 5.78/5.99 (mult(b, mult(mult(a, c), mult(mult(a, b), a))) = mult(mult(b, mult(a, c)), mult(mult(a, b), a))),
% 5.78/5.99 inference(symmetry,[status(thm)],[12087])).
% 5.78/5.99 tff(12089,plain,
% 5.78/5.99 (mult(b, mult(mult(mult(a, c), a), mult(a, b))) = mult(b, mult(mult(a, c), mult(mult(a, b), a)))),
% 5.78/5.99 inference(symmetry,[status(thm)],[11172])).
% 5.78/5.99 tff(12090,plain,
% 5.78/5.99 (mult(mult(b, a), mult(mult(mult(c, a), b), a)) = mult(mult(mult(b, a), mult(mult(c, a), b)), a)),
% 5.78/5.99 inference(symmetry,[status(thm)],[12016])).
% 5.78/5.99 tff(12091,plain,
% 5.78/5.99 (mult(mult(b, mult(c, a)), mult(mult(a, b), a)) = mult(mult(mult(b, c), a), mult(mult(a, b), a))),
% 5.78/5.99 inference(transitivity,[status(thm)],[11395, 11394, 11223, 12090, 11157, 12077, 12089, 12088, 12037])).
% 5.78/5.99 tff(12092,plain,
% 5.78/5.99 (rd(mult(mult(b, mult(c, a)), mult(mult(a, b), a)), mult(mult(a, b), a)) = rd(mult(mult(mult(b, c), a), mult(mult(a, b), a)), mult(mult(a, b), a))),
% 5.78/5.99 inference(monotonicity,[status(thm)],[12091])).
% 5.78/5.99 tff(12093,plain,
% 5.78/5.99 (rd(mult(mult(mult(b, c), a), mult(mult(a, b), a)), mult(mult(a, b), a)) = rd(mult(mult(b, mult(c, a)), mult(mult(a, b), a)), mult(mult(a, b), a))),
% 5.78/5.99 inference(symmetry,[status(thm)],[12092])).
% 5.78/5.99 tff(12094,plain,
% 5.78/5.99 (mult(mult(b, c), a) = mult(b, mult(c, a))),
% 5.78/5.99 inference(transitivity,[status(thm)],[11204, 12093, 11164])).
% 5.78/5.99 tff(12095,plain,
% 5.78/5.99 ($false),
% 5.78/5.99 inference(unit_resolution,[status(thm)],[3450, 12094])).
% 5.78/5.99 tff(12096,plain,((mult(mult(mult(b, a), mult(mult(c, a), b)), a) = mult(mult(b, a), mult(a, mult(mult(c, a), b)))) | (mult(mult(b, c), a) = mult(b, mult(c, a))) | (~(mult(mult(mult(b, a), c), mult(mult(a, b), a)) = mult(mult(b, a), mult(c, mult(mult(a, b), a))))) | (~(mult(mult(mult(a, c), a), mult(a, b)) = mult(mult(a, c), mult(mult(a, b), a)))) | (~(mult(mult(mult(a, c), mult(b, a)), a) = mult(mult(a, c), mult(a, mult(b, a))))) | (~(mult(mult(a, c), mult(b, a)) = mult(a, mult(c, mult(b, a))))) | (~(mult(mult(c, a), b) = mult(c, mult(b, a)))) | (~(mult(mult(mult(b, a), mult(b, a)), mult(a, c)) = mult(mult(b, a), mult(mult(a, c), mult(b, a))))) | (~(mult(mult(mult(b, a), b), a) = mult(mult(b, a), mult(b, a))))), inference(lemma,lemma(discharge,[]))).
% 5.78/5.99 tff(12097,plain,
% 5.78/5.99 (mult(mult(mult(b, a), mult(mult(c, a), b)), a) = mult(mult(b, a), mult(a, mult(mult(c, a), b)))),
% 5.78/5.99 inference(unit_resolution,[status(thm)],[12096, 12075, 3450, 10864, 10825, 10728, 342, 11996, 11025])).
% 5.78/5.99 tff(12098,plain,
% 5.78/5.99 (mult(mult(b, mult(mult(a, c), a)), mult(a, b)) = mult(b, mult(mult(mult(a, c), a), mult(a, b)))),
% 5.78/5.99 inference(unit_resolution,[status(thm)],[12068, 12097, 11316, 11017, 11965, 10728, 342, 11996, 11025, 3450, 10864, 10825])).
% 5.78/5.99 tff(12099,plain,
% 5.78/5.99 ((mult(mult(b, a), mult(mult(mult(c, a), b), a)) = mult(mult(mult(b, a), mult(mult(c, a), b)), a)) <=> (mult(mult(mult(b, a), mult(mult(c, a), b)), a) = mult(mult(b, a), mult(mult(mult(c, a), b), a)))),
% 5.78/5.99 inference(commutativity,[status(thm)],[])).
% 5.78/5.99 tff(12100,plain,
% 5.78/5.99 (mult(b, mult(mult(mult(a, c), a), mult(a, b))) = mult(mult(mult(b, a), mult(mult(c, a), b)), a)),
% 5.78/5.99 inference(transitivity,[status(thm)],[11170, 11399])).
% 5.78/5.99 tff(12101,plain,
% 5.78/5.99 (mult(mult(b, a), mult(c, mult(mult(a, b), a))) = mult(mult(b, a), mult(mult(mult(c, a), b), a))),
% 5.78/5.99 inference(symmetry,[status(thm)],[11948])).
% 5.78/5.99 tff(12102,plain,
% 5.78/5.99 (mult(mult(b, mult(mult(a, c), a)), mult(a, b)) = mult(mult(b, a), mult(mult(mult(c, a), b), a))),
% 5.78/5.99 inference(transitivity,[status(thm)],[11585, 11390, 4201, 4198, 11610, 11394, 12101])).
% 5.78/5.99 tff(12103,plain,
% 5.78/5.99 ((mult(mult(b, mult(mult(a, c), a)), mult(a, b)) = mult(b, mult(mult(mult(a, c), a), mult(a, b)))) <=> (mult(mult(b, a), mult(mult(mult(c, a), b), a)) = mult(mult(mult(b, a), mult(mult(c, a), b)), a))),
% 5.78/5.99 inference(monotonicity,[status(thm)],[12102, 12100])).
% 5.78/5.99 tff(12104,plain,
% 5.78/5.99 ((mult(mult(b, mult(mult(a, c), a)), mult(a, b)) = mult(b, mult(mult(mult(a, c), a), mult(a, b)))) <=> (mult(mult(mult(b, a), mult(mult(c, a), b)), a) = mult(mult(b, a), mult(mult(mult(c, a), b), a)))),
% 5.78/5.99 inference(transitivity,[status(thm)],[12103, 12099])).
% 5.78/5.99 tff(12105,plain,
% 5.78/5.99 ((mult(mult(mult(b, a), mult(mult(c, a), b)), a) = mult(mult(b, a), mult(mult(mult(c, a), b), a))) <=> (mult(mult(b, mult(mult(a, c), a)), mult(a, b)) = mult(b, mult(mult(mult(a, c), a), mult(a, b))))),
% 5.78/5.99 inference(symmetry,[status(thm)],[12104])).
% 5.78/5.99 tff(12106,plain,
% 5.78/5.99 ((~(mult(mult(mult(b, a), mult(mult(c, a), b)), a) = mult(mult(b, a), mult(mult(mult(c, a), b), a)))) <=> (~(mult(mult(b, mult(mult(a, c), a)), mult(a, b)) = mult(b, mult(mult(mult(a, c), a), mult(a, b)))))),
% 5.78/5.99 inference(monotonicity,[status(thm)],[12105])).
% 5.78/5.99 tff(12107,assumption,(~(mult(mult(mult(b, a), mult(mult(c, a), b)), a) = mult(mult(b, a), mult(mult(mult(c, a), b), a)))), introduced(assumption)).
% 5.78/5.99 tff(12108,plain,
% 5.78/5.99 (~(mult(mult(b, mult(mult(a, c), a)), mult(a, b)) = mult(b, mult(mult(mult(a, c), a), mult(a, b))))),
% 5.78/5.99 inference(modus_ponens,[status(thm)],[12107, 12106])).
% 5.78/5.99 tff(12109,assumption,(mult(mult(b, mult(mult(a, c), a)), mult(a, b)) = mult(b, mult(mult(mult(a, c), a), mult(a, b)))), introduced(assumption)).
% 5.78/5.99 tff(12110,plain,
% 5.78/5.99 ($false),
% 5.78/5.99 inference(unit_resolution,[status(thm)],[12109, 12108])).
% 5.78/5.99 tff(12111,plain,((mult(mult(mult(b, a), mult(mult(c, a), b)), a) = mult(mult(b, a), mult(mult(mult(c, a), b), a))) | (~(mult(mult(b, mult(mult(a, c), a)), mult(a, b)) = mult(b, mult(mult(mult(a, c), a), mult(a, b))))) | (~(mult(mult(mult(a, c), a), mult(a, b)) = mult(mult(a, c), mult(mult(a, b), a)))) | (~(mult(mult(mult(a, c), mult(b, a)), a) = mult(mult(a, c), mult(a, mult(b, a))))) | (~(mult(mult(a, c), mult(b, a)) = mult(a, mult(c, mult(b, a))))) | (~(mult(mult(c, a), b) = mult(c, mult(b, a)))) | (~(mult(mult(mult(mult(b, a), mult(a, c)), b), a) = mult(mult(mult(b, a), mult(a, c)), mult(a, b)))) | (~(mult(mult(mult(b, a), c), mult(mult(a, b), a)) = mult(mult(b, a), mult(c, mult(mult(a, b), a)))))), inference(lemma,lemma(discharge,[]))).
% 5.78/5.99 tff(12112,plain,
% 5.78/5.99 (mult(mult(mult(b, a), mult(mult(c, a), b)), a) = mult(mult(b, a), mult(mult(mult(c, a), b), a))),
% 5.78/5.99 inference(unit_resolution,[status(thm)],[12111, 12098, 10864, 10825, 10728, 342, 11316, 12075])).
% 5.78/5.99 tff(12113,plain,
% 5.78/5.99 (mult(mult(mult(a, c), mult(b, a)), a) = mult(mult(a, mult(mult(c, a), b)), a)),
% 5.78/5.99 inference(monotonicity,[status(thm)],[11963])).
% 5.78/5.99 tff(12114,plain,
% 5.78/5.99 (mult(mult(mult(a, c), a), mult(a, b)) = mult(mult(a, mult(mult(c, a), b)), a)),
% 5.78/5.99 inference(transitivity,[status(thm)],[10864, 10827, 10826, 12113])).
% 5.78/5.99 tff(12115,plain,
% 5.78/5.99 (mult(b, mult(mult(mult(a, c), a), mult(a, b))) = mult(b, mult(mult(a, mult(mult(c, a), b)), a))),
% 5.78/5.99 inference(monotonicity,[status(thm)],[12114])).
% 5.78/5.99 tff(12116,assumption,(~((~(mult(mult(b, mult(a, c)), mult(mult(a, b), a)) = mult(b, mult(mult(a, c), mult(mult(a, b), a))))) | (~(mult(mult(b, mult(mult(a, b), a)), mult(a, c)) = mult(b, mult(mult(mult(a, b), a), mult(a, c))))))), introduced(assumption)).
% 5.78/5.99 tff(12117,plain,
% 5.78/5.99 (mult(mult(b, mult(a, c)), mult(mult(a, b), a)) = mult(b, mult(mult(a, c), mult(mult(a, b), a)))),
% 5.78/5.99 inference(unit_resolution,[status(thm)],[11197, 12116])).
% 5.78/5.99 tff(12118,plain,
% 5.78/5.99 (mult(b, mult(mult(a, c), mult(mult(a, b), a))) = mult(mult(b, mult(a, c)), mult(mult(a, b), a))),
% 5.78/5.99 inference(symmetry,[status(thm)],[12117])).
% 5.78/5.99 tff(12119,plain,
% 5.78/5.99 (mult(b, mult(mult(a, mult(mult(c, a), b)), a)) = mult(b, mult(mult(mult(a, c), a), mult(a, b)))),
% 5.78/5.99 inference(symmetry,[status(thm)],[11170])).
% 5.78/5.99 tff(12120,plain,
% 5.78/5.99 (mult(mult(mult(b, a), mult(mult(c, a), b)), a) = mult(mult(b, a), mult(a, mult(mult(c, a), b)))),
% 5.78/5.99 inference(unit_resolution,[status(thm)],[12096, 11394, 3450, 10864, 10825, 368, 342, 12036, 11025])).
% 5.78/5.99 tff(12121,plain,
% 5.78/5.99 (mult(mult(b, a), mult(a, mult(mult(c, a), b))) = mult(mult(mult(b, a), mult(mult(c, a), b)), a)),
% 5.78/5.99 inference(symmetry,[status(thm)],[12120])).
% 5.78/5.99 tff(12122,plain,
% 5.78/5.99 (mult(mult(b, mult(mult(a, b), a)), mult(a, c)) = mult(b, mult(mult(mult(a, b), a), mult(a, c)))),
% 5.78/5.99 inference(unit_resolution,[status(thm)],[11543, 12116])).
% 5.78/5.99 tff(12123,plain,
% 5.78/5.99 (mult(b, mult(mult(mult(a, b), a), mult(a, c))) = mult(mult(b, mult(mult(a, b), a)), mult(a, c))),
% 5.78/5.99 inference(symmetry,[status(thm)],[12122])).
% 5.78/5.99 tff(12124,plain,
% 5.78/5.99 (mult(mult(mult(mult(a, b), a), c), a) = mult(mult(mult(a, b), a), mult(a, c))),
% 5.78/5.99 inference(transitivity,[status(thm)],[11096, 11018])).
% 5.78/5.99 tff(12125,plain,
% 5.78/5.99 (mult(b, mult(mult(mult(mult(a, b), a), c), a)) = mult(b, mult(mult(mult(a, b), a), mult(a, c)))),
% 5.78/5.99 inference(monotonicity,[status(thm)],[12124])).
% 5.78/5.99 tff(12126,plain,
% 5.78/5.99 (mult(b, mult(mult(a, b), mult(mult(a, c), a))) = mult(mult(mult(b, a), mult(mult(c, a), b)), a)),
% 5.78/5.99 inference(transitivity,[status(thm)],[11533, 12125, 12123, 12042, 12036, 12040, 12121])).
% 5.78/5.99 tff(12127,plain,
% 5.78/5.99 (mult(mult(b, mult(mult(a, c), a)), mult(a, b)) = mult(mult(b, a), mult(mult(mult(c, a), b), a))),
% 5.78/5.99 inference(transitivity,[status(thm)],[11392, 11390, 11389, 4198, 11610, 11394, 12101])).
% 5.78/5.99 tff(12128,plain,
% 5.78/5.99 ((mult(mult(b, mult(mult(a, c), a)), mult(a, b)) = mult(b, mult(mult(a, b), mult(mult(a, c), a)))) <=> (mult(mult(b, a), mult(mult(mult(c, a), b), a)) = mult(mult(mult(b, a), mult(mult(c, a), b)), a))),
% 5.78/5.99 inference(monotonicity,[status(thm)],[12127, 12126])).
% 5.78/5.99 tff(12129,plain,
% 5.78/5.99 ((mult(mult(b, mult(mult(a, c), a)), mult(a, b)) = mult(b, mult(mult(a, b), mult(mult(a, c), a)))) <=> (mult(mult(mult(b, a), mult(mult(c, a), b)), a) = mult(mult(b, a), mult(mult(mult(c, a), b), a)))),
% 5.78/5.99 inference(transitivity,[status(thm)],[12128, 12099])).
% 5.78/5.99 tff(12130,plain,
% 5.78/5.99 ((mult(mult(mult(b, a), mult(mult(c, a), b)), a) = mult(mult(b, a), mult(mult(mult(c, a), b), a))) <=> (mult(mult(b, mult(mult(a, c), a)), mult(a, b)) = mult(b, mult(mult(a, b), mult(mult(a, c), a))))),
% 5.78/5.99 inference(symmetry,[status(thm)],[12129])).
% 5.78/5.99 tff(12131,plain,
% 5.78/5.99 (mult(mult(b, mult(mult(a, c), a)), mult(a, b)) = mult(b, mult(mult(a, b), mult(mult(a, c), a)))),
% 5.78/5.99 inference(modus_ponens,[status(thm)],[11398, 12130])).
% 5.78/5.99 tff(12132,plain,
% 5.78/5.99 (mult(mult(b, mult(c, a)), mult(mult(a, b), a)) = mult(mult(mult(b, c), a), mult(mult(a, b), a))),
% 5.78/5.99 inference(transitivity,[status(thm)],[7884, 11388, 11316, 11391, 12131, 11533, 12125, 12123, 12042, 12036, 12040, 12121, 11157, 12119, 12089, 12118, 12037])).
% 5.78/5.99 tff(12133,plain,
% 5.78/5.99 (rd(mult(mult(b, mult(c, a)), mult(mult(a, b), a)), mult(mult(a, b), a)) = rd(mult(mult(mult(b, c), a), mult(mult(a, b), a)), mult(mult(a, b), a))),
% 5.78/5.99 inference(monotonicity,[status(thm)],[12132])).
% 5.78/5.99 tff(12134,plain,
% 5.78/5.99 (rd(mult(mult(mult(b, c), a), mult(mult(a, b), a)), mult(mult(a, b), a)) = rd(mult(mult(b, mult(c, a)), mult(mult(a, b), a)), mult(mult(a, b), a))),
% 5.78/5.99 inference(symmetry,[status(thm)],[12133])).
% 5.78/5.99 tff(12135,plain,
% 5.78/5.99 (mult(mult(b, c), a) = mult(b, mult(c, a))),
% 5.78/5.99 inference(transitivity,[status(thm)],[11204, 12134, 11164])).
% 5.78/5.99 tff(12136,plain,
% 5.78/5.99 ($false),
% 5.78/5.99 inference(unit_resolution,[status(thm)],[3450, 12135])).
% 5.78/5.99 tff(12137,plain,(((~(mult(mult(b, mult(a, c)), mult(mult(a, b), a)) = mult(b, mult(mult(a, c), mult(mult(a, b), a))))) | (~(mult(mult(b, mult(mult(a, b), a)), mult(a, c)) = mult(b, mult(mult(mult(a, b), a), mult(a, c)))))) | (mult(mult(b, c), a) = mult(b, mult(c, a))) | (~(mult(mult(mult(mult(b, a), mult(a, c)), b), a) = mult(mult(mult(b, a), mult(a, c)), mult(a, b)))) | (~(mult(mult(mult(b, a), mult(b, a)), mult(a, c)) = mult(mult(b, a), mult(mult(a, c), mult(b, a))))) | (~(mult(mult(mult(a, c), a), mult(a, b)) = mult(mult(a, c), mult(mult(a, b), a)))) | (~(mult(mult(mult(a, c), mult(b, a)), a) = mult(mult(a, c), mult(a, mult(b, a))))) | (~(mult(mult(a, c), mult(b, a)) = mult(a, mult(c, mult(b, a))))) | (~(mult(mult(c, a), b) = mult(c, mult(b, a)))) | (~(mult(mult(mult(b, a), b), a) = mult(mult(b, a), mult(b, a)))) | (~(mult(mult(mult(a, b), a), mult(a, c)) = mult(mult(a, b), mult(mult(a, c), a)))) | (~(mult(mult(mult(b, a), mult(mult(c, a), b)), a) = mult(mult(b, a), mult(mult(mult(c, a), b), a)))) | (~(mult(mult(mult(b, a), c), mult(mult(a, b), a)) = mult(mult(b, a), mult(c, mult(mult(a, b), a)))))), inference(lemma,lemma(discharge,[]))).
% 5.78/5.99 tff(12138,plain,
% 5.78/5.99 ((~(mult(mult(b, mult(a, c)), mult(mult(a, b), a)) = mult(b, mult(mult(a, c), mult(mult(a, b), a))))) | (~(mult(mult(b, mult(mult(a, b), a)), mult(a, c)) = mult(b, mult(mult(mult(a, b), a), mult(a, c)))))),
% 5.78/5.99 inference(unit_resolution,[status(thm)],[12137, 11996, 11316, 3450, 10864, 10825, 10728, 342, 11025, 11017, 12112, 12075])).
% 5.78/5.99 tff(12139,plain,
% 5.78/5.99 (~((~(mult(mult(b, mult(a, c)), mult(mult(a, b), a)) = mult(b, mult(mult(mult(a, b), a), mult(a, c))))) | (~(mult(mult(b, mult(mult(a, b), a)), mult(a, c)) = mult(b, mult(mult(a, c), mult(mult(a, b), a))))))),
% 5.78/5.99 inference(unit_resolution,[status(thm)],[11195, 12138])).
% 5.78/5.99 tff(12140,plain,
% 5.78/5.99 (mult(mult(b, mult(mult(a, b), a)), mult(a, c)) = mult(b, mult(mult(a, c), mult(mult(a, b), a)))),
% 5.78/5.99 inference(unit_resolution,[status(thm)],[11187, 12139])).
% 5.78/5.99 tff(12141,plain,
% 5.78/5.99 (mult(mult(b, a), mult(mult(a, c), mult(b, a))) = mult(mult(mult(b, a), mult(b, a)), mult(a, c))),
% 5.78/5.99 inference(symmetry,[status(thm)],[11996])).
% 5.78/5.99 tff(12142,plain,
% 5.78/5.99 (mult(mult(b, a), mult(a, mult(mult(c, a), b))) = mult(mult(b, a), mult(c, mult(mult(a, b), a)))),
% 5.78/5.99 inference(transitivity,[status(thm)],[11566, 12141, 11179, 12140, 11172, 12115, 11399, 12112, 11948])).
% 5.78/5.99 tff(12143,plain,
% 5.78/5.99 (ld(mult(b, a), mult(mult(b, a), mult(a, mult(mult(c, a), b)))) = ld(mult(b, a), mult(mult(b, a), mult(c, mult(mult(a, b), a))))),
% 5.78/5.99 inference(monotonicity,[status(thm)],[12142])).
% 5.78/5.99 tff(12144,plain,
% 5.78/5.99 (ld(mult(b, a), mult(mult(b, a), mult(c, mult(mult(a, b), a)))) = ld(mult(b, a), mult(mult(b, a), mult(a, mult(mult(c, a), b))))),
% 5.78/5.99 inference(symmetry,[status(thm)],[12143])).
% 5.78/5.99 tff(12145,plain,
% 5.78/5.99 (mult(c, mult(mult(a, b), a)) = ld(mult(b, a), mult(mult(b, a), mult(c, mult(mult(a, b), a))))),
% 5.78/5.99 inference(symmetry,[status(thm)],[11130])).
% 5.78/5.99 tff(12146,plain,
% 5.78/5.99 ((~![B: $i, A: $i] : (ld(A, mult(A, B)) = B)) | (ld(a, mult(a, mult(c, mult(mult(a, b), a)))) = mult(c, mult(mult(a, b), a)))),
% 5.78/5.99 inference(quant_inst,[status(thm)],[])).
% 5.78/5.99 tff(12147,plain,
% 5.78/5.99 (ld(a, mult(a, mult(c, mult(mult(a, b), a)))) = mult(c, mult(mult(a, b), a))),
% 5.78/5.99 inference(unit_resolution,[status(thm)],[12146, 9])).
% 5.78/5.99 tff(12148,plain,
% 5.78/5.99 (mult(a, mult(mult(mult(c, a), b), a)) = mult(a, mult(c, mult(mult(a, b), a)))),
% 5.78/5.99 inference(monotonicity,[status(thm)],[2807])).
% 5.78/5.99 tff(12149,plain,
% 5.78/5.99 (mult(a, mult(mult(c, a), b)) = mult(mult(mult(c, a), b), a)),
% 5.78/5.99 inference(transitivity,[status(thm)],[11448, 12143, 11130, 2808])).
% 5.78/5.99 tff(12150,plain,
% 5.78/5.99 (mult(a, mult(a, mult(mult(c, a), b))) = mult(a, mult(mult(mult(c, a), b), a))),
% 5.78/5.99 inference(monotonicity,[status(thm)],[12149])).
% 5.78/5.99 tff(12151,plain,
% 5.78/5.99 (mult(a, mult(mult(mult(a, b), a), c)) = mult(a, mult(c, mult(mult(a, b), a)))),
% 5.78/5.99 inference(transitivity,[status(thm)],[11959, 11958, 11970, 11073, 11072, 12150, 12148])).
% 5.78/5.99 tff(12152,plain,
% 5.78/5.99 (ld(a, mult(a, mult(mult(mult(a, b), a), c))) = ld(a, mult(a, mult(c, mult(mult(a, b), a))))),
% 5.78/5.99 inference(monotonicity,[status(thm)],[12151])).
% 5.78/5.99 tff(12153,plain,
% 5.78/5.99 (mult(mult(a, mult(b, a)), c) = mult(a, mult(c, mult(b, a)))),
% 5.78/5.99 inference(transitivity,[status(thm)],[8336, 11988, 12152, 12147, 12145, 12144, 11133, 2430])).
% 5.78/5.99 tff(12154,plain,
% 5.78/5.99 ($false),
% 5.78/5.99 inference(unit_resolution,[status(thm)],[10743, 12153])).
% 5.78/5.99 tff(12155,plain,((~(mult(mult(a, mult(b, a)), mult(a, c)) = mult(a, mult(mult(a, c), mult(b, a))))) | (mult(mult(a, mult(b, a)), c) = mult(a, mult(c, mult(b, a)))) | (~(mult(mult(mult(a, c), a), mult(a, b)) = mult(mult(a, c), mult(mult(a, b), a)))) | (~(mult(mult(mult(a, c), mult(b, a)), a) = mult(mult(a, c), mult(a, mult(b, a))))) | (~(mult(mult(mult(b, a), b), a) = mult(mult(b, a), mult(b, a)))) | (~(mult(mult(c, a), b) = mult(c, mult(b, a)))) | (~(mult(mult(a, mult(mult(a, b), a)), c) = mult(a, mult(mult(mult(a, b), a), c)))) | (~(mult(mult(a, a), mult(mult(c, a), b)) = mult(a, mult(a, mult(mult(c, a), b))))) | (~(mult(mult(a, a), mult(b, a)) = mult(a, mult(a, mult(b, a))))) | (~(mult(mult(mult(mult(b, a), mult(a, c)), b), a) = mult(mult(mult(b, a), mult(a, c)), mult(a, b)))) | (mult(mult(b, c), a) = mult(b, mult(c, a))) | (~(mult(mult(mult(a, b), a), mult(a, c)) = mult(mult(a, b), mult(mult(a, c), a)))) | (~(mult(mult(mult(mult(b, a), mult(a, c)), a), b) = mult(mult(mult(b, a), mult(a, c)), mult(b, a)))) | (~(mult(mult(a, mult(a, c)), b) = mult(a, mult(mult(a, c), b)))) | (~(mult(mult(a, mult(b, mult(c, a))), a) = mult(a, mult(a, mult(b, mult(c, a)))))) | (~(mult(mult(a, b), mult(c, a)) = mult(a, mult(b, mult(c, a)))))), inference(lemma,lemma(discharge,[]))).
% 5.83/6.00 tff(12156,plain,
% 5.83/6.00 (~(mult(mult(a, mult(b, a)), mult(a, c)) = mult(a, mult(mult(a, c), mult(b, a))))),
% 5.83/6.00 inference(unit_resolution,[status(thm)],[12155, 11947, 6854, 10737, 11025, 342, 10859, 11946, 11024, 10743, 11128, 11017, 10943, 11028, 11945, 754])).
% 5.83/6.00 tff(12157,plain,
% 5.83/6.00 (~(mult(mult(a, b), mult(mult(a, c), a)) = mult(a, mult(mult(mult(a, c), a), b)))),
% 5.83/6.00 inference(modus_ponens,[status(thm)],[12156, 11022])).
% 5.83/6.00 tff(12158,plain,
% 5.83/6.00 (((~(mult(mult(a, mult(mult(a, c), a)), b) = mult(a, mult(b, mult(mult(a, c), a))))) | (~(mult(mult(a, b), mult(mult(a, c), a)) = mult(a, mult(mult(mult(a, c), a), b))))) | (mult(mult(a, b), mult(mult(a, c), a)) = mult(a, mult(mult(mult(a, c), a), b)))),
% 5.83/6.00 inference(tautology,[status(thm)],[])).
% 5.83/6.00 tff(12159,plain,
% 5.83/6.00 ((~(mult(mult(a, mult(mult(a, c), a)), b) = mult(a, mult(b, mult(mult(a, c), a))))) | (~(mult(mult(a, b), mult(mult(a, c), a)) = mult(a, mult(mult(mult(a, c), a), b))))),
% 5.83/6.00 inference(unit_resolution,[status(thm)],[12158, 12157])).
% 5.83/6.00 tff(12160,plain,
% 5.83/6.00 (((~![X0: $i, X1: $i, X2: $i] : ((~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X2, X1)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X1, X2)))))) | (~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X1, X2)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X2, X1)))))))) | ((~((~(mult(mult(a, mult(mult(a, c), a)), b) = mult(a, mult(b, mult(mult(a, c), a))))) | (~(mult(mult(a, b), mult(mult(a, c), a)) = mult(a, mult(mult(mult(a, c), a), b)))))) | (~((~(mult(mult(a, mult(mult(a, c), a)), b) = mult(a, mult(mult(mult(a, c), a), b)))) | (~(mult(mult(a, b), mult(mult(a, c), a)) = mult(a, mult(b, mult(mult(a, c), a))))))))) <=> ((~![X0: $i, X1: $i, X2: $i] : ((~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X2, X1)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X1, X2)))))) | (~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X1, X2)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X2, X1)))))))) | (~((~(mult(mult(a, mult(mult(a, c), a)), b) = mult(a, mult(b, mult(mult(a, c), a))))) | (~(mult(mult(a, b), mult(mult(a, c), a)) = mult(a, mult(mult(mult(a, c), a), b)))))) | (~((~(mult(mult(a, mult(mult(a, c), a)), b) = mult(a, mult(mult(mult(a, c), a), b)))) | (~(mult(mult(a, b), mult(mult(a, c), a)) = mult(a, mult(b, mult(mult(a, c), a))))))))),
% 5.83/6.00 inference(rewrite,[status(thm)],[])).
% 5.83/6.00 tff(12161,plain,
% 5.83/6.00 ((~![X0: $i, X1: $i, X2: $i] : ((~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X2, X1)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X1, X2)))))) | (~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X1, X2)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X2, X1)))))))) | ((~((~(mult(mult(a, mult(mult(a, c), a)), b) = mult(a, mult(b, mult(mult(a, c), a))))) | (~(mult(mult(a, b), mult(mult(a, c), a)) = mult(a, mult(mult(mult(a, c), a), b)))))) | (~((~(mult(mult(a, mult(mult(a, c), a)), b) = mult(a, mult(mult(mult(a, c), a), b)))) | (~(mult(mult(a, b), mult(mult(a, c), a)) = mult(a, mult(b, mult(mult(a, c), a))))))))),
% 5.83/6.00 inference(quant_inst,[status(thm)],[])).
% 5.83/6.00 tff(12162,plain,
% 5.83/6.00 ((~![X0: $i, X1: $i, X2: $i] : ((~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X2, X1)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X1, X2)))))) | (~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X1, X2)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X2, X1)))))))) | (~((~(mult(mult(a, mult(mult(a, c), a)), b) = mult(a, mult(b, mult(mult(a, c), a))))) | (~(mult(mult(a, b), mult(mult(a, c), a)) = mult(a, mult(mult(mult(a, c), a), b)))))) | (~((~(mult(mult(a, mult(mult(a, c), a)), b) = mult(a, mult(mult(mult(a, c), a), b)))) | (~(mult(mult(a, b), mult(mult(a, c), a)) = mult(a, mult(b, mult(mult(a, c), a)))))))),
% 5.83/6.00 inference(modus_ponens,[status(thm)],[12161, 12160])).
% 5.83/6.00 tff(12163,plain,
% 5.83/6.00 ((~((~(mult(mult(a, mult(mult(a, c), a)), b) = mult(a, mult(b, mult(mult(a, c), a))))) | (~(mult(mult(a, b), mult(mult(a, c), a)) = mult(a, mult(mult(mult(a, c), a), b)))))) | (~((~(mult(mult(a, mult(mult(a, c), a)), b) = mult(a, mult(mult(mult(a, c), a), b)))) | (~(mult(mult(a, b), mult(mult(a, c), a)) = mult(a, mult(b, mult(mult(a, c), a)))))))),
% 5.83/6.00 inference(unit_resolution,[status(thm)],[12162, 30])).
% 5.83/6.00 tff(12164,plain,
% 5.83/6.00 (~((~(mult(mult(a, mult(mult(a, c), a)), b) = mult(a, mult(mult(mult(a, c), a), b)))) | (~(mult(mult(a, b), mult(mult(a, c), a)) = mult(a, mult(b, mult(mult(a, c), a))))))),
% 5.83/6.00 inference(unit_resolution,[status(thm)],[12163, 12159])).
% 5.83/6.00 tff(12165,plain,
% 5.83/6.00 (((~(mult(mult(a, mult(mult(a, c), a)), b) = mult(a, mult(mult(mult(a, c), a), b)))) | (~(mult(mult(a, b), mult(mult(a, c), a)) = mult(a, mult(b, mult(mult(a, c), a)))))) | (mult(mult(a, mult(mult(a, c), a)), b) = mult(a, mult(mult(mult(a, c), a), b)))),
% 5.83/6.00 inference(tautology,[status(thm)],[])).
% 5.83/6.00 tff(12166,plain,
% 5.83/6.00 (mult(mult(a, mult(mult(a, c), a)), b) = mult(a, mult(mult(mult(a, c), a), b))),
% 5.83/6.00 inference(unit_resolution,[status(thm)],[12165, 12164])).
% 5.83/6.00 tff(12167,assumption,(mult(mult(mult(b, a), a), b) = mult(mult(b, a), mult(a, b))), introduced(assumption)).
% 5.83/6.00 tff(12168,plain,
% 5.83/6.00 (~((~(mult(mult(mult(a, c), mult(a, b)), a) = mult(mult(a, c), mult(a, mult(a, b))))) | (~(mult(mult(mult(a, c), a), mult(a, b)) = mult(mult(a, c), mult(mult(a, b), a)))))),
% 5.83/6.00 inference(unit_resolution,[status(thm)],[1558, 30, 6010])).
% 5.83/6.00 tff(12169,plain,
% 5.83/6.00 (mult(mult(mult(a, c), mult(a, b)), a) = mult(mult(a, c), mult(a, mult(a, b)))),
% 5.83/6.00 inference(unit_resolution,[status(thm)],[1560, 12168])).
% 5.83/6.00 tff(12170,plain,
% 5.83/6.00 (mult(mult(a, mult(b, a)), c) = mult(a, mult(mult(b, a), c))),
% 5.83/6.00 inference(modus_ponens,[status(thm)],[754, 9225])).
% 5.83/6.00 tff(12171,plain,
% 5.83/6.00 (mult(mult(c, a), mult(a, b)) = mult(c, mult(mult(a, b), a))),
% 5.83/6.00 inference(unit_resolution,[status(thm)],[9239, 6056])).
% 5.83/6.00 tff(12172,plain,
% 5.83/6.00 (~(mult(mult(c, a), mult(b, a)) = mult(c, mult(a, mult(b, a))))),
% 5.83/6.00 inference(unit_resolution,[status(thm)],[9275, 614, 754, 12171, 12170])).
% 5.83/6.00 tff(12173,plain,
% 5.83/6.00 ((~(mult(mult(c, a), mult(b, a)) = mult(c, mult(a, mult(b, a))))) | (~(mult(mult(c, mult(b, a)), a) = mult(c, mult(mult(b, a), a))))),
% 5.83/6.00 inference(unit_resolution,[status(thm)],[4526, 12172])).
% 5.83/6.00 tff(12174,plain,
% 5.83/6.00 (~((~(mult(mult(c, a), mult(b, a)) = mult(c, mult(mult(b, a), a)))) | (~(mult(mult(c, mult(b, a)), a) = mult(c, mult(a, mult(b, a))))))),
% 5.83/6.00 inference(unit_resolution,[status(thm)],[4534, 12173])).
% 5.83/6.00 tff(12175,plain,
% 5.83/6.00 (mult(mult(c, a), mult(b, a)) = mult(c, mult(mult(b, a), a))),
% 5.83/6.00 inference(unit_resolution,[status(thm)],[4536, 12174])).
% 5.83/6.00 tff(12176,plain,
% 5.83/6.00 ((~(mult(mult(a, mult(a, c)), mult(b, a)) = mult(a, mult(mult(b, a), mult(a, c))))) | (~(mult(mult(a, mult(b, a)), mult(a, c)) = mult(a, mult(mult(a, c), mult(b, a)))))),
% 5.83/6.00 inference(unit_resolution,[status(thm)],[11066, 12156])).
% 5.83/6.00 tff(12177,plain,
% 5.83/6.00 (~((~(mult(mult(a, mult(a, c)), mult(b, a)) = mult(a, mult(mult(a, c), mult(b, a))))) | (~(mult(mult(a, mult(b, a)), mult(a, c)) = mult(a, mult(mult(b, a), mult(a, c))))))),
% 5.83/6.00 inference(unit_resolution,[status(thm)],[11064, 12176])).
% 5.83/6.00 tff(12178,plain,
% 5.83/6.00 (mult(mult(a, mult(b, a)), mult(a, c)) = mult(a, mult(mult(b, a), mult(a, c)))),
% 5.83/6.00 inference(unit_resolution,[status(thm)],[11059, 12177])).
% 5.83/6.00 tff(12179,plain,
% 5.83/6.00 (mult(b, mult(mult(mult(b, c), a), ld(mult(mult(b, c), a), mult(a, mult(a, c))))) = mult(b, mult(a, mult(a, c)))),
% 5.83/6.00 inference(monotonicity,[status(thm)],[8866])).
% 5.83/6.00 tff(12180,plain,
% 5.83/6.00 ((~![B: $i, A: $i] : (ld(A, mult(A, B)) = B)) | (ld(a, mult(a, mult(mult(b, a), mult(a, c)))) = mult(mult(b, a), mult(a, c)))),
% 5.83/6.00 inference(quant_inst,[status(thm)],[])).
% 5.83/6.00 tff(12181,plain,
% 5.83/6.00 (ld(a, mult(a, mult(mult(b, a), mult(a, c)))) = mult(mult(b, a), mult(a, c))),
% 5.83/6.00 inference(unit_resolution,[status(thm)],[12180, 9])).
% 5.83/6.00 tff(12182,plain,
% 5.83/6.00 (mult(mult(mult(a, b), a), c) = mult(a, mult(b, mult(c, a)))),
% 5.83/6.00 inference(transitivity,[status(thm)],[9222, 754])).
% 5.83/6.00 tff(12183,plain,
% 5.83/6.00 (mult(mult(mult(mult(a, b), a), c), a) = mult(mult(a, mult(b, mult(c, a))), a)),
% 5.83/6.00 inference(monotonicity,[status(thm)],[12182])).
% 5.83/6.00 tff(12184,plain,
% 5.83/6.00 (mult(mult(a, mult(b, mult(c, a))), a) = mult(mult(mult(mult(a, b), a), c), a)),
% 5.83/6.00 inference(symmetry,[status(thm)],[12183])).
% 5.83/6.00 tff(12185,plain,
% 5.83/6.00 (mult(a, mult(a, mult(b, mult(c, a)))) = mult(mult(a, mult(b, mult(c, a))), a)),
% 5.83/6.00 inference(symmetry,[status(thm)],[11969])).
% 5.83/6.00 tff(12186,plain,
% 5.83/6.00 (mult(a, mult(mult(mult(a, b), a), c)) = mult(a, mult(mult(b, a), mult(a, c)))),
% 5.83/6.00 inference(transitivity,[status(thm)],[11100, 12185, 12184, 11096, 11018, 11016, 11249])).
% 5.83/6.00 tff(12187,plain,
% 5.83/6.00 (ld(a, mult(a, mult(mult(mult(a, b), a), c))) = ld(a, mult(a, mult(mult(b, a), mult(a, c))))),
% 5.83/6.00 inference(monotonicity,[status(thm)],[12186])).
% 5.83/6.00 tff(12188,plain,
% 5.83/6.00 (ld(a, mult(a, mult(mult(b, a), mult(a, c)))) = ld(a, mult(a, mult(mult(mult(a, b), a), c)))),
% 5.83/6.00 inference(symmetry,[status(thm)],[12187])).
% 5.83/6.00 tff(12189,plain,
% 5.83/6.00 (mult(mult(b, a), mult(a, c)) = ld(a, mult(a, mult(mult(b, a), mult(a, c))))),
% 5.83/6.00 inference(symmetry,[status(thm)],[12181])).
% 5.83/6.00 tff(12190,plain,
% 5.83/6.00 (mult(mult(b, a), mult(a, c)) = mult(mult(mult(a, b), a), c)),
% 5.83/6.00 inference(transitivity,[status(thm)],[12189, 12188, 11987])).
% 5.83/6.00 tff(12191,plain,
% 5.83/6.00 (mult(mult(mult(b, a), mult(a, c)), a) = mult(mult(mult(mult(a, b), a), c), a)),
% 5.83/6.00 inference(monotonicity,[status(thm)],[12190])).
% 5.83/6.00 tff(12192,plain,
% 5.83/6.00 (mult(mult(b, a), mult(mult(b, a), mult(a, c))) = mult(mult(b, a), mult(mult(mult(a, b), a), c))),
% 5.83/6.00 inference(monotonicity,[status(thm)],[12190])).
% 5.83/6.00 tff(12193,plain,
% 5.83/6.00 (mult(mult(b, a), mult(mult(b, a), mult(a, c))) = mult(mult(b, mult(c, a)), mult(a, mult(b, a)))),
% 5.83/6.00 inference(transitivity,[status(thm)],[12192, 12029, 11155, 4196])).
% 5.83/6.00 tff(12194,plain,
% 5.83/6.00 ((mult(mult(mult(b, a), mult(a, c)), mult(b, a)) = mult(mult(b, a), mult(mult(b, a), mult(a, c)))) <=> (mult(mult(mult(b, mult(c, a)), a), mult(b, a)) = mult(mult(b, mult(c, a)), mult(a, mult(b, a))))),
% 5.83/6.00 inference(monotonicity,[status(thm)],[3535, 12193])).
% 5.83/6.00 tff(12195,plain,
% 5.83/6.00 ((mult(mult(mult(b, mult(c, a)), a), mult(b, a)) = mult(mult(b, mult(c, a)), mult(a, mult(b, a)))) <=> (mult(mult(mult(b, a), mult(a, c)), mult(b, a)) = mult(mult(b, a), mult(mult(b, a), mult(a, c))))),
% 5.83/6.00 inference(symmetry,[status(thm)],[12194])).
% 5.83/6.00 tff(12196,plain,
% 5.83/6.00 ((~(mult(mult(mult(b, mult(c, a)), a), mult(b, a)) = mult(mult(b, mult(c, a)), mult(a, mult(b, a))))) <=> (~(mult(mult(mult(b, a), mult(a, c)), mult(b, a)) = mult(mult(b, a), mult(mult(b, a), mult(a, c)))))),
% 5.83/6.00 inference(monotonicity,[status(thm)],[12195])).
% 5.83/6.00 tff(12197,plain,
% 5.83/6.00 (~(mult(mult(mult(b, a), mult(a, c)), mult(b, a)) = mult(mult(b, a), mult(mult(b, a), mult(a, c))))),
% 5.83/6.00 inference(modus_ponens,[status(thm)],[10726, 12196])).
% 5.83/6.00 tff(12198,plain,
% 5.83/6.00 ((~(mult(mult(mult(b, a), mult(b, a)), mult(a, c)) = mult(mult(b, a), mult(mult(a, c), mult(b, a))))) | (~(mult(mult(mult(b, a), mult(a, c)), mult(b, a)) = mult(mult(b, a), mult(mult(b, a), mult(a, c)))))),
% 5.83/6.00 inference(unit_resolution,[status(thm)],[11137, 12197])).
% 5.83/6.00 tff(12199,plain,
% 5.83/6.00 (~((~(mult(mult(mult(b, a), mult(a, c)), mult(b, a)) = mult(mult(b, a), mult(mult(a, c), mult(b, a))))) | (~(mult(mult(mult(b, a), mult(b, a)), mult(a, c)) = mult(mult(b, a), mult(mult(b, a), mult(a, c))))))),
% 5.83/6.00 inference(unit_resolution,[status(thm)],[11149, 12198])).
% 5.83/6.00 tff(12200,plain,
% 5.83/6.00 (mult(mult(mult(b, a), mult(b, a)), mult(a, c)) = mult(mult(b, a), mult(mult(b, a), mult(a, c)))),
% 5.83/6.00 inference(unit_resolution,[status(thm)],[11175, 12199])).
% 5.83/6.00 tff(12201,plain,
% 5.83/6.00 (mult(mult(mult(mult(b, a), b), a), mult(a, c)) = mult(mult(mult(b, a), mult(b, a)), mult(a, c))),
% 5.83/6.00 inference(monotonicity,[status(thm)],[11025])).
% 5.83/6.00 tff(12202,plain,
% 5.83/6.00 ((mult(mult(b, a), mult(b, mult(mult(a, c), a))) = mult(mult(mult(b, a), b), mult(mult(a, c), a))) <=> (mult(mult(mult(b, a), b), mult(mult(a, c), a)) = mult(mult(b, a), mult(b, mult(mult(a, c), a))))),
% 5.83/6.00 inference(commutativity,[status(thm)],[])).
% 5.83/6.00 tff(12203,plain,
% 5.83/6.00 (mult(mult(b, a), mult(b, mult(mult(a, c), a))) = mult(mult(b, a), mult(mult(b, a), mult(a, c)))),
% 5.83/6.00 inference(monotonicity,[status(thm)],[11584])).
% 5.83/6.00 tff(12204,plain,
% 5.83/6.00 (mult(mult(b, a), mult(mult(b, a), mult(a, c))) = mult(mult(b, a), mult(b, mult(mult(a, c), a)))),
% 5.83/6.00 inference(symmetry,[status(thm)],[12203])).
% 5.83/6.00 tff(12205,plain,
% 5.83/6.00 (mult(mult(mult(mult(b, a), b), a), mult(a, c)) = mult(mult(b, a), mult(b, mult(mult(a, c), a)))),
% 5.83/6.00 inference(transitivity,[status(thm)],[12201, 12200, 12204])).
% 5.83/6.00 tff(12206,plain,
% 5.83/6.00 ((mult(mult(mult(mult(b, a), b), a), mult(a, c)) = mult(mult(mult(b, a), b), mult(mult(a, c), a))) <=> (mult(mult(b, a), mult(b, mult(mult(a, c), a))) = mult(mult(mult(b, a), b), mult(mult(a, c), a)))),
% 5.83/6.00 inference(monotonicity,[status(thm)],[12205])).
% 5.83/6.00 tff(12207,plain,
% 5.83/6.00 ((mult(mult(mult(mult(b, a), b), a), mult(a, c)) = mult(mult(mult(b, a), b), mult(mult(a, c), a))) <=> (mult(mult(mult(b, a), b), mult(mult(a, c), a)) = mult(mult(b, a), mult(b, mult(mult(a, c), a))))),
% 5.83/6.00 inference(transitivity,[status(thm)],[12206, 12202])).
% 5.83/6.00 tff(12208,plain,
% 5.83/6.00 ((mult(mult(mult(b, a), b), mult(mult(a, c), a)) = mult(mult(b, a), mult(b, mult(mult(a, c), a)))) <=> (mult(mult(mult(mult(b, a), b), a), mult(a, c)) = mult(mult(mult(b, a), b), mult(mult(a, c), a)))),
% 5.83/6.00 inference(symmetry,[status(thm)],[12207])).
% 5.83/6.00 tff(12209,plain,
% 5.83/6.00 (mult(mult(b, a), mult(b, mult(mult(a, c), a))) = mult(mult(b, mult(c, a)), mult(a, mult(b, a)))),
% 5.83/6.00 inference(transitivity,[status(thm)],[12203, 12192, 12029, 11155, 4196])).
% 5.83/6.00 tff(12210,plain,
% 5.83/6.00 (mult(mult(mult(b, a), mult(a, c)), mult(b, a)) = mult(mult(b, a), mult(mult(a, c), mult(b, a)))),
% 5.83/6.00 inference(unit_resolution,[status(thm)],[11151, 12199])).
% 5.83/6.00 tff(12211,plain,
% 5.83/6.00 (mult(mult(b, a), mult(mult(a, c), mult(b, a))) = mult(mult(mult(b, a), mult(a, c)), mult(b, a))),
% 5.83/6.00 inference(symmetry,[status(thm)],[12210])).
% 5.83/6.00 tff(12212,plain,
% 5.83/6.00 ((mult(b, mult(mult(mult(a, c), a), mult(a, b))) = mult(mult(b, mult(mult(a, c), a)), mult(a, b))) <=> (mult(mult(b, mult(mult(a, c), a)), mult(a, b)) = mult(b, mult(mult(mult(a, c), a), mult(a, b))))),
% 5.83/6.00 inference(commutativity,[status(thm)],[])).
% 5.83/6.00 tff(12213,plain,
% 5.83/6.00 (mult(mult(b, a), mult(b, mult(mult(a, c), a))) = mult(mult(b, mult(mult(a, c), a)), mult(a, b))),
% 5.83/6.00 inference(transitivity,[status(thm)],[12203, 12192, 12029, 11155, 7884, 11596, 11316, 11595])).
% 5.83/6.00 tff(12214,plain,
% 5.83/6.00 (((~![X0: $i, X1: $i, X2: $i] : ((~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X2, X1)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X1, X2)))))) | (~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X1, X2)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X2, X1)))))))) | ((~((~(mult(mult(mult(b, a), a), mult(mult(c, a), b)) = mult(mult(b, a), mult(mult(mult(c, a), b), a)))) | (~(mult(mult(mult(b, a), mult(mult(c, a), b)), a) = mult(mult(b, a), mult(a, mult(mult(c, a), b))))))) | (~((~(mult(mult(mult(b, a), mult(mult(c, a), b)), a) = mult(mult(b, a), mult(mult(mult(c, a), b), a)))) | (~(mult(mult(mult(b, a), a), mult(mult(c, a), b)) = mult(mult(b, a), mult(a, mult(mult(c, a), b))))))))) <=> ((~![X0: $i, X1: $i, X2: $i] : ((~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X2, X1)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X1, X2)))))) | (~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X1, X2)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X2, X1)))))))) | (~((~(mult(mult(mult(b, a), a), mult(mult(c, a), b)) = mult(mult(b, a), mult(mult(mult(c, a), b), a)))) | (~(mult(mult(mult(b, a), mult(mult(c, a), b)), a) = mult(mult(b, a), mult(a, mult(mult(c, a), b))))))) | (~((~(mult(mult(mult(b, a), mult(mult(c, a), b)), a) = mult(mult(b, a), mult(mult(mult(c, a), b), a)))) | (~(mult(mult(mult(b, a), a), mult(mult(c, a), b)) = mult(mult(b, a), mult(a, mult(mult(c, a), b))))))))),
% 5.83/6.00 inference(rewrite,[status(thm)],[])).
% 5.83/6.00 tff(12215,plain,
% 5.83/6.00 (((~((~(mult(mult(mult(b, a), mult(mult(c, a), b)), a) = mult(mult(b, a), mult(a, mult(mult(c, a), b))))) | (~(mult(mult(mult(b, a), a), mult(mult(c, a), b)) = mult(mult(b, a), mult(mult(mult(c, a), b), a)))))) | (~((~(mult(mult(mult(b, a), mult(mult(c, a), b)), a) = mult(mult(b, a), mult(mult(mult(c, a), b), a)))) | (~(mult(mult(mult(b, a), a), mult(mult(c, a), b)) = mult(mult(b, a), mult(a, mult(mult(c, a), b)))))))) <=> ((~((~(mult(mult(mult(b, a), a), mult(mult(c, a), b)) = mult(mult(b, a), mult(mult(mult(c, a), b), a)))) | (~(mult(mult(mult(b, a), mult(mult(c, a), b)), a) = mult(mult(b, a), mult(a, mult(mult(c, a), b))))))) | (~((~(mult(mult(mult(b, a), mult(mult(c, a), b)), a) = mult(mult(b, a), mult(mult(mult(c, a), b), a)))) | (~(mult(mult(mult(b, a), a), mult(mult(c, a), b)) = mult(mult(b, a), mult(a, mult(mult(c, a), b))))))))),
% 5.83/6.01 inference(rewrite,[status(thm)],[])).
% 5.83/6.01 tff(12216,plain,
% 5.83/6.01 (((~![X0: $i, X1: $i, X2: $i] : ((~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X2, X1)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X1, X2)))))) | (~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X1, X2)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X2, X1)))))))) | ((~((~(mult(mult(mult(b, a), mult(mult(c, a), b)), a) = mult(mult(b, a), mult(a, mult(mult(c, a), b))))) | (~(mult(mult(mult(b, a), a), mult(mult(c, a), b)) = mult(mult(b, a), mult(mult(mult(c, a), b), a)))))) | (~((~(mult(mult(mult(b, a), mult(mult(c, a), b)), a) = mult(mult(b, a), mult(mult(mult(c, a), b), a)))) | (~(mult(mult(mult(b, a), a), mult(mult(c, a), b)) = mult(mult(b, a), mult(a, mult(mult(c, a), b))))))))) <=> ((~![X0: $i, X1: $i, X2: $i] : ((~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X2, X1)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X1, X2)))))) | (~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X1, X2)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X2, X1)))))))) | ((~((~(mult(mult(mult(b, a), a), mult(mult(c, a), b)) = mult(mult(b, a), mult(mult(mult(c, a), b), a)))) | (~(mult(mult(mult(b, a), mult(mult(c, a), b)), a) = mult(mult(b, a), mult(a, mult(mult(c, a), b))))))) | (~((~(mult(mult(mult(b, a), mult(mult(c, a), b)), a) = mult(mult(b, a), mult(mult(mult(c, a), b), a)))) | (~(mult(mult(mult(b, a), a), mult(mult(c, a), b)) = mult(mult(b, a), mult(a, mult(mult(c, a), b)))))))))),
% 5.83/6.01 inference(monotonicity,[status(thm)],[12215])).
% 5.83/6.01 tff(12217,plain,
% 5.83/6.01 (((~![X0: $i, X1: $i, X2: $i] : ((~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X2, X1)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X1, X2)))))) | (~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X1, X2)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X2, X1)))))))) | ((~((~(mult(mult(mult(b, a), mult(mult(c, a), b)), a) = mult(mult(b, a), mult(a, mult(mult(c, a), b))))) | (~(mult(mult(mult(b, a), a), mult(mult(c, a), b)) = mult(mult(b, a), mult(mult(mult(c, a), b), a)))))) | (~((~(mult(mult(mult(b, a), mult(mult(c, a), b)), a) = mult(mult(b, a), mult(mult(mult(c, a), b), a)))) | (~(mult(mult(mult(b, a), a), mult(mult(c, a), b)) = mult(mult(b, a), mult(a, mult(mult(c, a), b))))))))) <=> ((~![X0: $i, X1: $i, X2: $i] : ((~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X2, X1)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X1, X2)))))) | (~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X1, X2)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X2, X1)))))))) | (~((~(mult(mult(mult(b, a), a), mult(mult(c, a), b)) = mult(mult(b, a), mult(mult(mult(c, a), b), a)))) | (~(mult(mult(mult(b, a), mult(mult(c, a), b)), a) = mult(mult(b, a), mult(a, mult(mult(c, a), b))))))) | (~((~(mult(mult(mult(b, a), mult(mult(c, a), b)), a) = mult(mult(b, a), mult(mult(mult(c, a), b), a)))) | (~(mult(mult(mult(b, a), a), mult(mult(c, a), b)) = mult(mult(b, a), mult(a, mult(mult(c, a), b))))))))),
% 5.83/6.01 inference(transitivity,[status(thm)],[12216, 12214])).
% 5.83/6.01 tff(12218,plain,
% 5.83/6.01 ((~![X0: $i, X1: $i, X2: $i] : ((~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X2, X1)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X1, X2)))))) | (~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X1, X2)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X2, X1)))))))) | ((~((~(mult(mult(mult(b, a), mult(mult(c, a), b)), a) = mult(mult(b, a), mult(a, mult(mult(c, a), b))))) | (~(mult(mult(mult(b, a), a), mult(mult(c, a), b)) = mult(mult(b, a), mult(mult(mult(c, a), b), a)))))) | (~((~(mult(mult(mult(b, a), mult(mult(c, a), b)), a) = mult(mult(b, a), mult(mult(mult(c, a), b), a)))) | (~(mult(mult(mult(b, a), a), mult(mult(c, a), b)) = mult(mult(b, a), mult(a, mult(mult(c, a), b))))))))),
% 5.83/6.01 inference(quant_inst,[status(thm)],[])).
% 5.83/6.01 tff(12219,plain,
% 5.83/6.01 ((~![X0: $i, X1: $i, X2: $i] : ((~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X2, X1)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X1, X2)))))) | (~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X1, X2)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X2, X1)))))))) | (~((~(mult(mult(mult(b, a), a), mult(mult(c, a), b)) = mult(mult(b, a), mult(mult(mult(c, a), b), a)))) | (~(mult(mult(mult(b, a), mult(mult(c, a), b)), a) = mult(mult(b, a), mult(a, mult(mult(c, a), b))))))) | (~((~(mult(mult(mult(b, a), mult(mult(c, a), b)), a) = mult(mult(b, a), mult(mult(mult(c, a), b), a)))) | (~(mult(mult(mult(b, a), a), mult(mult(c, a), b)) = mult(mult(b, a), mult(a, mult(mult(c, a), b)))))))),
% 5.83/6.01 inference(modus_ponens,[status(thm)],[12218, 12217])).
% 5.83/6.01 tff(12220,plain,
% 5.83/6.01 ((~((~(mult(mult(mult(b, a), a), mult(mult(c, a), b)) = mult(mult(b, a), mult(mult(mult(c, a), b), a)))) | (~(mult(mult(mult(b, a), mult(mult(c, a), b)), a) = mult(mult(b, a), mult(a, mult(mult(c, a), b))))))) | (~((~(mult(mult(mult(b, a), mult(mult(c, a), b)), a) = mult(mult(b, a), mult(mult(mult(c, a), b), a)))) | (~(mult(mult(mult(b, a), a), mult(mult(c, a), b)) = mult(mult(b, a), mult(a, mult(mult(c, a), b)))))))),
% 5.83/6.01 inference(unit_resolution,[status(thm)],[12219, 30])).
% 5.83/6.01 tff(12221,plain,
% 5.83/6.01 (~((~(mult(mult(mult(b, a), mult(mult(c, a), b)), a) = mult(mult(b, a), mult(mult(mult(c, a), b), a)))) | (~(mult(mult(mult(b, a), a), mult(mult(c, a), b)) = mult(mult(b, a), mult(a, mult(mult(c, a), b))))))),
% 5.83/6.01 inference(unit_resolution,[status(thm)],[12220, 12014])).
% 5.83/6.01 tff(12222,plain,
% 5.83/6.01 (((~(mult(mult(mult(b, a), mult(mult(c, a), b)), a) = mult(mult(b, a), mult(mult(mult(c, a), b), a)))) | (~(mult(mult(mult(b, a), a), mult(mult(c, a), b)) = mult(mult(b, a), mult(a, mult(mult(c, a), b)))))) | (mult(mult(mult(b, a), mult(mult(c, a), b)), a) = mult(mult(b, a), mult(mult(mult(c, a), b), a)))),
% 5.83/6.01 inference(tautology,[status(thm)],[])).
% 5.83/6.01 tff(12223,plain,
% 5.83/6.01 (mult(mult(mult(b, a), mult(mult(c, a), b)), a) = mult(mult(b, a), mult(mult(mult(c, a), b), a))),
% 5.83/6.01 inference(unit_resolution,[status(thm)],[12222, 12221])).
% 5.83/6.01 tff(12224,plain,
% 5.83/6.01 (mult(mult(b, a), mult(mult(mult(c, a), b), a)) = mult(mult(mult(b, a), mult(mult(c, a), b)), a)),
% 5.83/6.01 inference(symmetry,[status(thm)],[12223])).
% 5.83/6.01 tff(12225,plain,
% 5.83/6.01 (mult(mult(b, a), mult(c, mult(mult(a, b), a))) = mult(b, mult(mult(mult(a, c), a), mult(a, b)))),
% 5.83/6.01 inference(transitivity,[status(thm)],[11223, 12224, 11157, 11313])).
% 5.83/6.01 tff(12226,plain,
% 5.83/6.01 (mult(mult(mult(b, a), c), mult(mult(a, b), a)) = mult(mult(b, mult(mult(a, c), a)), mult(a, b))),
% 5.83/6.01 inference(transitivity,[status(thm)],[11155, 7884, 11596, 11316, 11595])).
% 5.83/6.01 tff(12227,plain,
% 5.83/6.01 ((mult(mult(mult(b, a), c), mult(mult(a, b), a)) = mult(mult(b, a), mult(c, mult(mult(a, b), a)))) <=> (mult(mult(b, mult(mult(a, c), a)), mult(a, b)) = mult(b, mult(mult(mult(a, c), a), mult(a, b))))),
% 5.83/6.01 inference(monotonicity,[status(thm)],[12226, 12225])).
% 5.83/6.01 tff(12228,plain,
% 5.83/6.01 ((~(mult(mult(mult(b, a), c), mult(mult(a, b), a)) = mult(mult(b, a), mult(c, mult(mult(a, b), a))))) <=> (~(mult(mult(b, mult(mult(a, c), a)), mult(a, b)) = mult(b, mult(mult(mult(a, c), a), mult(a, b)))))),
% 5.83/6.01 inference(monotonicity,[status(thm)],[12227])).
% 5.83/6.01 tff(12229,plain,
% 5.83/6.01 (~(mult(mult(b, mult(mult(a, c), a)), mult(a, b)) = mult(b, mult(mult(mult(a, c), a), mult(a, b))))),
% 5.83/6.01 inference(modus_ponens,[status(thm)],[11997, 12228])).
% 5.83/6.01 tff(12230,plain,
% 5.83/6.01 ((~(mult(mult(b, mult(a, b)), mult(mult(a, c), a)) = mult(b, mult(mult(a, b), mult(mult(a, c), a))))) | (~(mult(mult(b, mult(mult(a, c), a)), mult(a, b)) = mult(b, mult(mult(mult(a, c), a), mult(a, b)))))),
% 5.83/6.01 inference(unit_resolution,[status(thm)],[11520, 12229])).
% 5.83/6.01 tff(12231,plain,
% 5.83/6.01 (~((~(mult(mult(b, mult(a, b)), mult(mult(a, c), a)) = mult(b, mult(mult(mult(a, c), a), mult(a, b))))) | (~(mult(mult(b, mult(mult(a, c), a)), mult(a, b)) = mult(b, mult(mult(a, b), mult(mult(a, c), a))))))),
% 5.83/6.01 inference(unit_resolution,[status(thm)],[11528, 12230])).
% 5.83/6.01 tff(12232,plain,
% 5.83/6.01 (mult(mult(b, mult(a, b)), mult(mult(a, c), a)) = mult(b, mult(mult(mult(a, c), a), mult(a, b)))),
% 5.83/6.01 inference(unit_resolution,[status(thm)],[11618, 12231])).
% 5.83/6.01 tff(12233,plain,
% 5.83/6.01 (mult(mult(mult(b, a), b), mult(mult(a, c), a)) = mult(b, mult(mult(mult(a, c), a), mult(a, b)))),
% 5.83/6.01 inference(transitivity,[status(thm)],[11623, 12232])).
% 5.83/6.01 tff(12234,plain,
% 5.83/6.01 ((mult(mult(mult(b, a), b), mult(mult(a, c), a)) = mult(mult(b, a), mult(b, mult(mult(a, c), a)))) <=> (mult(b, mult(mult(mult(a, c), a), mult(a, b))) = mult(mult(b, mult(mult(a, c), a)), mult(a, b)))),
% 5.83/6.01 inference(monotonicity,[status(thm)],[12233, 12213])).
% 5.83/6.01 tff(12235,plain,
% 5.83/6.01 ((mult(mult(mult(b, a), b), mult(mult(a, c), a)) = mult(mult(b, a), mult(b, mult(mult(a, c), a)))) <=> (mult(mult(b, mult(mult(a, c), a)), mult(a, b)) = mult(b, mult(mult(mult(a, c), a), mult(a, b))))),
% 5.83/6.01 inference(transitivity,[status(thm)],[12234, 12212])).
% 5.83/6.01 tff(12236,plain,
% 5.83/6.01 ((mult(mult(b, mult(mult(a, c), a)), mult(a, b)) = mult(b, mult(mult(mult(a, c), a), mult(a, b)))) <=> (mult(mult(mult(b, a), b), mult(mult(a, c), a)) = mult(mult(b, a), mult(b, mult(mult(a, c), a))))),
% 5.83/6.01 inference(symmetry,[status(thm)],[12235])).
% 5.83/6.01 tff(12237,plain,
% 5.83/6.01 ((~(mult(mult(b, mult(mult(a, c), a)), mult(a, b)) = mult(b, mult(mult(mult(a, c), a), mult(a, b))))) <=> (~(mult(mult(mult(b, a), b), mult(mult(a, c), a)) = mult(mult(b, a), mult(b, mult(mult(a, c), a)))))),
% 5.83/6.01 inference(monotonicity,[status(thm)],[12236])).
% 5.83/6.01 tff(12238,plain,
% 5.83/6.01 (~(mult(mult(mult(b, a), b), mult(mult(a, c), a)) = mult(mult(b, a), mult(b, mult(mult(a, c), a))))),
% 5.83/6.01 inference(modus_ponens,[status(thm)],[12229, 12237])).
% 5.83/6.01 tff(12239,plain,
% 5.83/6.01 ((~(mult(mult(mult(b, a), b), mult(mult(a, c), a)) = mult(mult(b, a), mult(b, mult(mult(a, c), a))))) | (~(mult(mult(mult(b, a), mult(mult(a, c), a)), b) = mult(mult(b, a), mult(mult(mult(a, c), a), b))))),
% 5.83/6.01 inference(unit_resolution,[status(thm)],[11642, 12238])).
% 5.83/6.01 tff(12240,plain,
% 5.83/6.01 (mult(mult(mult(b, a), b), mult(mult(a, c), a)) = mult(b, mult(mult(a, mult(mult(c, a), b)), a))),
% 5.83/6.01 inference(transitivity,[status(thm)],[11623, 12232, 11314])).
% 5.83/6.01 tff(12241,plain,
% 5.83/6.01 ((mult(mult(mult(b, a), b), mult(mult(a, c), a)) = mult(mult(b, a), mult(mult(mult(a, c), a), b))) <=> (mult(b, mult(mult(a, mult(mult(c, a), b)), a)) = mult(mult(b, a), mult(a, mult(mult(c, a), b))))),
% 5.83/6.01 inference(monotonicity,[status(thm)],[12240, 11310])).
% 5.83/6.01 tff(12242,plain,
% 5.83/6.01 ((mult(mult(mult(b, a), b), mult(mult(a, c), a)) = mult(mult(b, a), mult(mult(mult(a, c), a), b))) <=> (mult(mult(b, a), mult(a, mult(mult(c, a), b))) = mult(b, mult(mult(a, mult(mult(c, a), b)), a)))),
% 5.83/6.01 inference(transitivity,[status(thm)],[12241, 11158])).
% 5.83/6.01 tff(12243,plain,
% 5.83/6.01 ((mult(mult(b, a), mult(a, mult(mult(c, a), b))) = mult(b, mult(mult(a, mult(mult(c, a), b)), a))) <=> (mult(mult(mult(b, a), b), mult(mult(a, c), a)) = mult(mult(b, a), mult(mult(mult(a, c), a), b)))),
% 5.83/6.01 inference(symmetry,[status(thm)],[12242])).
% 5.83/6.01 tff(12244,plain,
% 5.83/6.01 ((~(mult(mult(b, a), mult(a, mult(mult(c, a), b))) = mult(b, mult(mult(a, mult(mult(c, a), b)), a)))) <=> (~(mult(mult(mult(b, a), b), mult(mult(a, c), a)) = mult(mult(b, a), mult(mult(mult(a, c), a), b))))),
% 5.83/6.01 inference(monotonicity,[status(thm)],[12243])).
% 5.83/6.01 tff(12245,plain,
% 5.83/6.01 (mult(mult(b, a), mult(mult(mult(c, a), b), a)) = mult(b, mult(mult(a, mult(mult(c, a), b)), a))),
% 5.83/6.01 inference(transitivity,[status(thm)],[12224, 11157])).
% 5.83/6.01 tff(12246,plain,
% 5.83/6.01 (((~(mult(mult(mult(b, a), mult(mult(c, a), b)), a) = mult(mult(b, a), mult(mult(mult(c, a), b), a)))) | (~(mult(mult(mult(b, a), a), mult(mult(c, a), b)) = mult(mult(b, a), mult(a, mult(mult(c, a), b)))))) | (mult(mult(mult(b, a), a), mult(mult(c, a), b)) = mult(mult(b, a), mult(a, mult(mult(c, a), b))))),
% 5.83/6.01 inference(tautology,[status(thm)],[])).
% 5.83/6.01 tff(12247,plain,
% 5.83/6.01 (mult(mult(mult(b, a), a), mult(mult(c, a), b)) = mult(mult(b, a), mult(a, mult(mult(c, a), b)))),
% 5.83/6.01 inference(unit_resolution,[status(thm)],[12246, 12221])).
% 5.83/6.01 tff(12248,plain,
% 5.83/6.01 ((mult(mult(mult(b, a), a), mult(mult(c, a), b)) = mult(mult(b, a), mult(mult(mult(c, a), b), a))) <=> (mult(mult(b, a), mult(a, mult(mult(c, a), b))) = mult(b, mult(mult(a, mult(mult(c, a), b)), a)))),
% 5.83/6.01 inference(monotonicity,[status(thm)],[12247, 12245])).
% 5.83/6.01 tff(12249,plain,
% 5.83/6.01 ((~(mult(mult(mult(b, a), a), mult(mult(c, a), b)) = mult(mult(b, a), mult(mult(mult(c, a), b), a)))) <=> (~(mult(mult(b, a), mult(a, mult(mult(c, a), b))) = mult(b, mult(mult(a, mult(mult(c, a), b)), a))))),
% 5.83/6.01 inference(monotonicity,[status(thm)],[12248])).
% 5.83/6.01 tff(12250,plain,
% 5.83/6.01 ((mult(mult(b, a), mult(mult(mult(c, a), b), a)) = mult(mult(mult(b, a), a), mult(mult(c, a), b))) <=> (mult(mult(mult(b, a), a), mult(mult(c, a), b)) = mult(mult(b, a), mult(mult(mult(c, a), b), a)))),
% 5.83/6.01 inference(commutativity,[status(thm)],[])).
% 5.83/6.01 tff(12251,plain,
% 5.83/6.01 (mult(mult(b, a), mult(a, mult(mult(c, a), b))) = mult(mult(mult(b, a), a), mult(mult(c, a), b))),
% 5.83/6.01 inference(symmetry,[status(thm)],[12247])).
% 5.83/6.01 tff(12252,plain,
% 5.83/6.01 ((mult(mult(mult(b, a), mult(mult(c, a), b)), a) = mult(mult(b, a), mult(a, mult(mult(c, a), b)))) <=> (mult(mult(b, a), mult(mult(mult(c, a), b), a)) = mult(mult(mult(b, a), a), mult(mult(c, a), b)))),
% 5.83/6.01 inference(monotonicity,[status(thm)],[12223, 12251])).
% 5.83/6.01 tff(12253,plain,
% 5.83/6.01 ((mult(mult(mult(b, a), mult(mult(c, a), b)), a) = mult(mult(b, a), mult(a, mult(mult(c, a), b)))) <=> (mult(mult(mult(b, a), a), mult(mult(c, a), b)) = mult(mult(b, a), mult(mult(mult(c, a), b), a)))),
% 5.83/6.01 inference(transitivity,[status(thm)],[12252, 12250])).
% 5.83/6.01 tff(12254,plain,
% 5.83/6.01 ((~(mult(mult(mult(b, a), mult(mult(c, a), b)), a) = mult(mult(b, a), mult(a, mult(mult(c, a), b))))) <=> (~(mult(mult(mult(b, a), a), mult(mult(c, a), b)) = mult(mult(b, a), mult(mult(mult(c, a), b), a))))),
% 5.83/6.01 inference(monotonicity,[status(thm)],[12253])).
% 5.83/6.01 tff(12255,plain,
% 5.83/6.01 (~(mult(mult(mult(b, a), a), mult(mult(c, a), b)) = mult(mult(b, a), mult(mult(mult(c, a), b), a)))),
% 5.83/6.01 inference(modus_ponens,[status(thm)],[12003, 12254])).
% 5.83/6.01 tff(12256,plain,
% 5.83/6.01 (~(mult(mult(b, a), mult(a, mult(mult(c, a), b))) = mult(b, mult(mult(a, mult(mult(c, a), b)), a)))),
% 5.83/6.02 inference(modus_ponens,[status(thm)],[12255, 12249])).
% 5.83/6.02 tff(12257,plain,
% 5.83/6.02 (~(mult(mult(mult(b, a), b), mult(mult(a, c), a)) = mult(mult(b, a), mult(mult(mult(a, c), a), b)))),
% 5.83/6.02 inference(modus_ponens,[status(thm)],[12256, 12244])).
% 5.83/6.02 tff(12258,plain,
% 5.83/6.02 ((~(mult(mult(mult(b, a), b), mult(mult(a, c), a)) = mult(mult(b, a), mult(mult(mult(a, c), a), b)))) | (~(mult(mult(mult(b, a), mult(mult(a, c), a)), b) = mult(mult(b, a), mult(b, mult(mult(a, c), a)))))),
% 5.83/6.02 inference(unit_resolution,[status(thm)],[11632, 12257])).
% 5.83/6.02 tff(12259,plain,
% 5.83/6.02 ($false),
% 5.83/6.02 inference(unit_resolution,[status(thm)],[11640, 12258, 12239])).
% 5.83/6.02 tff(12260,plain,((mult(mult(mult(b, a), mult(mult(c, a), b)), a) = mult(mult(b, a), mult(a, mult(mult(c, a), b)))) | (~(mult(mult(mult(a, c), a), b) = mult(mult(a, c), mult(b, a)))) | (~(mult(mult(c, a), b) = mult(c, mult(b, a)))) | (~(mult(mult(mult(a, c), a), mult(a, b)) = mult(mult(a, c), mult(mult(a, b), a)))) | (~(mult(mult(b, mult(a, b)), a) = mult(b, mult(mult(a, b), a)))) | (~(mult(mult(mult(mult(b, a), mult(a, c)), b), a) = mult(mult(mult(b, a), mult(a, c)), mult(a, b)))) | (~(mult(mult(a, mult(b, a)), mult(a, c)) = mult(a, mult(mult(b, a), mult(a, c))))) | (~(mult(mult(mult(a, b), a), mult(a, c)) = mult(mult(a, b), mult(mult(a, c), a)))) | (~(mult(mult(a, mult(b, mult(c, a))), a) = mult(a, mult(a, mult(b, mult(c, a)))))) | (~(mult(mult(a, b), mult(c, a)) = mult(a, mult(b, mult(c, a))))) | (mult(mult(mult(b, a), c), mult(mult(a, b), a)) = mult(mult(b, a), mult(c, mult(mult(a, b), a))))), inference(lemma,lemma(discharge,[]))).
% 5.83/6.02 tff(12261,plain,
% 5.83/6.02 (mult(mult(mult(b, a), mult(mult(c, a), b)), a) = mult(mult(b, a), mult(a, mult(mult(c, a), b)))),
% 5.83/6.02 inference(unit_resolution,[status(thm)],[12260, 11997, 342, 10864, 11026, 11316, 11249, 11017, 11969, 754, 10730])).
% 5.83/6.02 tff(12262,plain,
% 5.83/6.02 (mult(mult(a, c), mult(a, mult(b, a))) = mult(mult(mult(a, c), mult(b, a)), a)),
% 5.83/6.02 inference(symmetry,[status(thm)],[10737])).
% 5.83/6.02 tff(12263,plain,
% 5.83/6.02 (mult(mult(mult(a, c), a), mult(a, b)) = mult(mult(a, mult(mult(c, a), b)), a)),
% 5.83/6.02 inference(transitivity,[status(thm)],[10864, 10827, 12262, 12113])).
% 5.83/6.02 tff(12264,plain,
% 5.83/6.02 (mult(b, mult(mult(mult(a, c), a), mult(a, b))) = mult(b, mult(mult(a, mult(mult(c, a), b)), a))),
% 5.83/6.02 inference(monotonicity,[status(thm)],[12263])).
% 5.83/6.02 tff(12265,plain,
% 5.83/6.02 (mult(b, mult(mult(mult(a, c), a), mult(a, b))) = mult(mult(mult(b, mult(c, a)), a), mult(b, a))),
% 5.83/6.02 inference(transitivity,[status(thm)],[12264, 11399, 12261, 11566, 12211, 3535])).
% 5.83/6.02 tff(12266,plain,
% 5.83/6.02 ((mult(mult(b, mult(mult(a, c), a)), mult(a, b)) = mult(b, mult(mult(mult(a, c), a), mult(a, b)))) <=> (mult(mult(b, mult(c, a)), mult(a, mult(b, a))) = mult(mult(mult(b, mult(c, a)), a), mult(b, a)))),
% 5.83/6.02 inference(monotonicity,[status(thm)],[11586, 12265])).
% 5.83/6.02 tff(12267,plain,
% 5.83/6.02 ((mult(mult(b, mult(mult(a, c), a)), mult(a, b)) = mult(b, mult(mult(mult(a, c), a), mult(a, b)))) <=> (mult(mult(mult(b, mult(c, a)), a), mult(b, a)) = mult(mult(b, mult(c, a)), mult(a, mult(b, a))))),
% 5.83/6.02 inference(transitivity,[status(thm)],[12266, 2])).
% 5.83/6.02 tff(12268,plain,
% 5.83/6.02 ((mult(mult(mult(b, mult(c, a)), a), mult(b, a)) = mult(mult(b, mult(c, a)), mult(a, mult(b, a)))) <=> (mult(mult(b, mult(mult(a, c), a)), mult(a, b)) = mult(b, mult(mult(mult(a, c), a), mult(a, b))))),
% 5.83/6.02 inference(symmetry,[status(thm)],[12267])).
% 5.83/6.02 tff(12269,plain,
% 5.83/6.02 ((~(mult(mult(mult(b, mult(c, a)), a), mult(b, a)) = mult(mult(b, mult(c, a)), mult(a, mult(b, a))))) <=> (~(mult(mult(b, mult(mult(a, c), a)), mult(a, b)) = mult(b, mult(mult(mult(a, c), a), mult(a, b)))))),
% 5.83/6.02 inference(monotonicity,[status(thm)],[12268])).
% 5.83/6.02 tff(12270,plain,
% 5.83/6.02 (~(mult(mult(b, mult(mult(a, c), a)), mult(a, b)) = mult(b, mult(mult(mult(a, c), a), mult(a, b))))),
% 5.83/6.02 inference(modus_ponens,[status(thm)],[10726, 12269])).
% 5.83/6.02 tff(12271,plain,
% 5.83/6.02 ((~(mult(mult(b, mult(a, b)), mult(mult(a, c), a)) = mult(b, mult(mult(a, b), mult(mult(a, c), a))))) | (~(mult(mult(b, mult(mult(a, c), a)), mult(a, b)) = mult(b, mult(mult(mult(a, c), a), mult(a, b)))))),
% 5.83/6.02 inference(unit_resolution,[status(thm)],[11520, 12270])).
% 5.83/6.02 tff(12272,plain,
% 5.83/6.02 (~((~(mult(mult(b, mult(a, b)), mult(mult(a, c), a)) = mult(b, mult(mult(mult(a, c), a), mult(a, b))))) | (~(mult(mult(b, mult(mult(a, c), a)), mult(a, b)) = mult(b, mult(mult(a, b), mult(mult(a, c), a))))))),
% 5.83/6.02 inference(unit_resolution,[status(thm)],[11528, 12271])).
% 5.83/6.02 tff(12273,plain,
% 5.83/6.02 (mult(mult(b, mult(a, b)), mult(mult(a, c), a)) = mult(b, mult(mult(mult(a, c), a), mult(a, b)))),
% 5.83/6.02 inference(unit_resolution,[status(thm)],[11618, 12272])).
% 5.83/6.02 tff(12274,plain,
% 5.83/6.02 (mult(mult(mult(b, a), b), mult(mult(a, c), a)) = mult(mult(mult(b, mult(c, a)), a), mult(b, a))),
% 5.83/6.02 inference(transitivity,[status(thm)],[11623, 12273, 12264, 11399, 12261, 11566, 12211, 3535])).
% 5.83/6.02 tff(12275,plain,
% 5.83/6.02 ((mult(mult(mult(b, a), b), mult(mult(a, c), a)) = mult(mult(b, a), mult(b, mult(mult(a, c), a)))) <=> (mult(mult(mult(b, mult(c, a)), a), mult(b, a)) = mult(mult(b, mult(c, a)), mult(a, mult(b, a))))),
% 5.83/6.02 inference(monotonicity,[status(thm)],[12274, 12209])).
% 5.83/6.02 tff(12276,plain,
% 5.83/6.02 ((mult(mult(mult(b, mult(c, a)), a), mult(b, a)) = mult(mult(b, mult(c, a)), mult(a, mult(b, a)))) <=> (mult(mult(mult(b, a), b), mult(mult(a, c), a)) = mult(mult(b, a), mult(b, mult(mult(a, c), a))))),
% 5.83/6.02 inference(symmetry,[status(thm)],[12275])).
% 5.83/6.02 tff(12277,plain,
% 5.83/6.02 ((mult(mult(mult(b, mult(c, a)), a), mult(b, a)) = mult(mult(b, mult(c, a)), mult(a, mult(b, a)))) <=> (mult(mult(mult(mult(b, a), b), a), mult(a, c)) = mult(mult(mult(b, a), b), mult(mult(a, c), a)))),
% 5.83/6.02 inference(transitivity,[status(thm)],[12276, 12208])).
% 5.83/6.02 tff(12278,plain,
% 5.83/6.02 ((~(mult(mult(mult(b, mult(c, a)), a), mult(b, a)) = mult(mult(b, mult(c, a)), mult(a, mult(b, a))))) <=> (~(mult(mult(mult(mult(b, a), b), a), mult(a, c)) = mult(mult(mult(b, a), b), mult(mult(a, c), a))))),
% 5.83/6.02 inference(monotonicity,[status(thm)],[12277])).
% 5.83/6.02 tff(12279,plain,
% 5.83/6.02 (~(mult(mult(mult(mult(b, a), b), a), mult(a, c)) = mult(mult(mult(b, a), b), mult(mult(a, c), a)))),
% 5.83/6.02 inference(modus_ponens,[status(thm)],[10726, 12278])).
% 5.83/6.02 tff(12280,plain,
% 5.83/6.02 (((~(mult(mult(mult(mult(b, a), b), mult(a, c)), a) = mult(mult(mult(b, a), b), mult(a, mult(a, c))))) | (~(mult(mult(mult(mult(b, a), b), a), mult(a, c)) = mult(mult(mult(b, a), b), mult(mult(a, c), a))))) | (mult(mult(mult(mult(b, a), b), a), mult(a, c)) = mult(mult(mult(b, a), b), mult(mult(a, c), a)))),
% 5.83/6.02 inference(tautology,[status(thm)],[])).
% 5.83/6.02 tff(12281,plain,
% 5.83/6.02 ((~(mult(mult(mult(mult(b, a), b), mult(a, c)), a) = mult(mult(mult(b, a), b), mult(a, mult(a, c))))) | (~(mult(mult(mult(mult(b, a), b), a), mult(a, c)) = mult(mult(mult(b, a), b), mult(mult(a, c), a))))),
% 5.83/6.02 inference(unit_resolution,[status(thm)],[12280, 12279])).
% 5.83/6.02 tff(12282,plain,
% 5.83/6.02 (((~![X0: $i, X1: $i, X2: $i] : ((~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X2, X1)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X1, X2)))))) | (~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X1, X2)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X2, X1)))))))) | ((~((~(mult(mult(mult(mult(b, a), b), mult(a, c)), a) = mult(mult(mult(b, a), b), mult(a, mult(a, c))))) | (~(mult(mult(mult(mult(b, a), b), a), mult(a, c)) = mult(mult(mult(b, a), b), mult(mult(a, c), a)))))) | (~((~(mult(mult(mult(mult(b, a), b), mult(a, c)), a) = mult(mult(mult(b, a), b), mult(mult(a, c), a)))) | (~(mult(mult(mult(mult(b, a), b), a), mult(a, c)) = mult(mult(mult(b, a), b), mult(a, mult(a, c))))))))) <=> ((~![X0: $i, X1: $i, X2: $i] : ((~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X2, X1)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X1, X2)))))) | (~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X1, X2)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X2, X1)))))))) | (~((~(mult(mult(mult(mult(b, a), b), mult(a, c)), a) = mult(mult(mult(b, a), b), mult(a, mult(a, c))))) | (~(mult(mult(mult(mult(b, a), b), a), mult(a, c)) = mult(mult(mult(b, a), b), mult(mult(a, c), a)))))) | (~((~(mult(mult(mult(mult(b, a), b), mult(a, c)), a) = mult(mult(mult(b, a), b), mult(mult(a, c), a)))) | (~(mult(mult(mult(mult(b, a), b), a), mult(a, c)) = mult(mult(mult(b, a), b), mult(a, mult(a, c))))))))),
% 5.83/6.02 inference(rewrite,[status(thm)],[])).
% 5.83/6.02 tff(12283,plain,
% 5.83/6.02 ((~![X0: $i, X1: $i, X2: $i] : ((~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X2, X1)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X1, X2)))))) | (~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X1, X2)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X2, X1)))))))) | ((~((~(mult(mult(mult(mult(b, a), b), mult(a, c)), a) = mult(mult(mult(b, a), b), mult(a, mult(a, c))))) | (~(mult(mult(mult(mult(b, a), b), a), mult(a, c)) = mult(mult(mult(b, a), b), mult(mult(a, c), a)))))) | (~((~(mult(mult(mult(mult(b, a), b), mult(a, c)), a) = mult(mult(mult(b, a), b), mult(mult(a, c), a)))) | (~(mult(mult(mult(mult(b, a), b), a), mult(a, c)) = mult(mult(mult(b, a), b), mult(a, mult(a, c))))))))),
% 5.83/6.02 inference(quant_inst,[status(thm)],[])).
% 5.83/6.02 tff(12284,plain,
% 5.83/6.02 ((~![X0: $i, X1: $i, X2: $i] : ((~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X2, X1)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X1, X2)))))) | (~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X1, X2)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X2, X1)))))))) | (~((~(mult(mult(mult(mult(b, a), b), mult(a, c)), a) = mult(mult(mult(b, a), b), mult(a, mult(a, c))))) | (~(mult(mult(mult(mult(b, a), b), a), mult(a, c)) = mult(mult(mult(b, a), b), mult(mult(a, c), a)))))) | (~((~(mult(mult(mult(mult(b, a), b), mult(a, c)), a) = mult(mult(mult(b, a), b), mult(mult(a, c), a)))) | (~(mult(mult(mult(mult(b, a), b), a), mult(a, c)) = mult(mult(mult(b, a), b), mult(a, mult(a, c)))))))),
% 5.83/6.02 inference(modus_ponens,[status(thm)],[12283, 12282])).
% 5.83/6.02 tff(12285,plain,
% 5.83/6.02 ((~((~(mult(mult(mult(mult(b, a), b), mult(a, c)), a) = mult(mult(mult(b, a), b), mult(a, mult(a, c))))) | (~(mult(mult(mult(mult(b, a), b), a), mult(a, c)) = mult(mult(mult(b, a), b), mult(mult(a, c), a)))))) | (~((~(mult(mult(mult(mult(b, a), b), mult(a, c)), a) = mult(mult(mult(b, a), b), mult(mult(a, c), a)))) | (~(mult(mult(mult(mult(b, a), b), a), mult(a, c)) = mult(mult(mult(b, a), b), mult(a, mult(a, c)))))))),
% 5.83/6.02 inference(unit_resolution,[status(thm)],[12284, 30])).
% 5.83/6.02 tff(12286,plain,
% 5.83/6.02 (~((~(mult(mult(mult(mult(b, a), b), mult(a, c)), a) = mult(mult(mult(b, a), b), mult(mult(a, c), a)))) | (~(mult(mult(mult(mult(b, a), b), a), mult(a, c)) = mult(mult(mult(b, a), b), mult(a, mult(a, c))))))),
% 5.83/6.02 inference(unit_resolution,[status(thm)],[12285, 12281])).
% 5.83/6.02 tff(12287,plain,
% 5.83/6.02 (((~(mult(mult(mult(mult(b, a), b), mult(a, c)), a) = mult(mult(mult(b, a), b), mult(mult(a, c), a)))) | (~(mult(mult(mult(mult(b, a), b), a), mult(a, c)) = mult(mult(mult(b, a), b), mult(a, mult(a, c)))))) | (mult(mult(mult(mult(b, a), b), a), mult(a, c)) = mult(mult(mult(b, a), b), mult(a, mult(a, c))))),
% 5.83/6.02 inference(tautology,[status(thm)],[])).
% 5.83/6.02 tff(12288,plain,
% 5.83/6.02 (mult(mult(mult(mult(b, a), b), a), mult(a, c)) = mult(mult(mult(b, a), b), mult(a, mult(a, c)))),
% 5.83/6.02 inference(unit_resolution,[status(thm)],[12287, 12286])).
% 5.83/6.02 tff(12289,plain,
% 5.83/6.02 (mult(mult(mult(b, a), b), mult(a, mult(a, c))) = mult(mult(mult(mult(b, a), b), a), mult(a, c))),
% 5.83/6.02 inference(symmetry,[status(thm)],[12288])).
% 5.83/6.02 tff(12290,plain,
% 5.83/6.02 (~(mult(mult(mult(b, a), mult(a, mult(a, c))), b) = mult(mult(b, a), mult(mult(a, mult(a, c)), b)))),
% 5.83/6.02 inference(unit_resolution,[status(thm)],[11386, 12210, 10947, 11365, 11363, 11028, 10728, 342])).
% 5.83/6.02 tff(12291,plain,
% 5.83/6.02 ((~(mult(mult(mult(b, a), b), mult(a, mult(a, c))) = mult(mult(b, a), mult(b, mult(a, mult(a, c)))))) | (~(mult(mult(mult(b, a), mult(a, mult(a, c))), b) = mult(mult(b, a), mult(mult(a, mult(a, c)), b))))),
% 5.83/6.02 inference(unit_resolution,[status(thm)],[11434, 12290])).
% 5.83/6.02 tff(12292,plain,
% 5.83/6.02 (~((~(mult(mult(mult(b, a), b), mult(a, mult(a, c))) = mult(mult(b, a), mult(mult(a, mult(a, c)), b)))) | (~(mult(mult(mult(b, a), mult(a, mult(a, c))), b) = mult(mult(b, a), mult(b, mult(a, mult(a, c)))))))),
% 5.83/6.02 inference(unit_resolution,[status(thm)],[11442, 12291])).
% 5.83/6.02 tff(12293,plain,
% 5.83/6.02 (mult(mult(mult(b, a), b), mult(a, mult(a, c))) = mult(mult(b, a), mult(mult(a, mult(a, c)), b))),
% 5.83/6.02 inference(unit_resolution,[status(thm)],[11455, 12292])).
% 5.83/6.02 tff(12294,plain,
% 5.83/6.02 (mult(mult(b, a), mult(mult(a, mult(a, c)), b)) = mult(mult(mult(b, a), b), mult(a, mult(a, c)))),
% 5.83/6.02 inference(symmetry,[status(thm)],[12293])).
% 5.83/6.02 tff(12295,plain,
% 5.83/6.02 (mult(a, mult(mult(a, c), b)) = mult(mult(a, mult(a, c)), b)),
% 5.83/6.02 inference(symmetry,[status(thm)],[11028])).
% 5.83/6.02 tff(12296,plain,
% 5.83/6.02 (mult(mult(a, a), mult(c, b)) = mult(mult(a, mult(a, c)), b)),
% 5.83/6.02 inference(transitivity,[status(thm)],[8185, 11078, 12295])).
% 5.83/6.02 tff(12297,plain,
% 5.83/6.02 (mult(mult(b, a), mult(mult(a, a), mult(c, b))) = mult(mult(b, a), mult(mult(a, mult(a, c)), b))),
% 5.83/6.02 inference(monotonicity,[status(thm)],[12296])).
% 5.83/6.02 tff(12298,plain,
% 5.83/6.02 (mult(mult(b, a), mult(mult(a, a), mult(c, b))) = mult(mult(b, a), mult(mult(b, a), mult(a, c)))),
% 5.83/6.02 inference(transitivity,[status(thm)],[12297, 12294, 12289, 12201, 12200])).
% 5.83/6.02 tff(12299,plain,
% 5.83/6.02 (ld(mult(b, a), mult(mult(b, a), mult(mult(a, a), mult(c, b)))) = ld(mult(b, a), mult(mult(b, a), mult(mult(b, a), mult(a, c))))),
% 5.83/6.02 inference(monotonicity,[status(thm)],[12298])).
% 5.83/6.02 tff(12300,plain,
% 5.83/6.02 (mult(mult(a, a), mult(c, b)) = mult(mult(b, a), mult(a, c))),
% 5.83/6.02 inference(transitivity,[status(thm)],[11378, 12299, 11251])).
% 5.83/6.02 tff(12301,plain,
% 5.83/6.02 (mult(mult(mult(a, a), mult(c, b)), a) = mult(mult(mult(b, a), mult(a, c)), a)),
% 5.83/6.02 inference(monotonicity,[status(thm)],[12300])).
% 5.83/6.02 tff(12302,plain,
% 5.83/6.02 (mult(a, mult(mult(a, mult(c, b)), a)) = mult(a, mult(mult(mult(a, b), a), c))),
% 5.83/6.02 inference(transitivity,[status(thm)],[5873, 12301, 12191, 12183, 11969, 11099])).
% 5.83/6.02 tff(12303,plain,
% 5.83/6.02 (ld(a, mult(a, mult(mult(a, mult(c, b)), a))) = ld(a, mult(a, mult(mult(mult(a, b), a), c)))),
% 5.83/6.02 inference(monotonicity,[status(thm)],[12302])).
% 5.83/6.02 tff(12304,plain,
% 5.83/6.02 (mult(mult(a, mult(c, b)), a) = ld(a, mult(a, mult(mult(a, mult(c, b)), a)))),
% 5.83/6.02 inference(symmetry,[status(thm)],[5407])).
% 5.83/6.02 tff(12305,plain,
% 5.83/6.02 (ld(a, mult(a, mult(mult(mult(a, b), a), c))) = ld(a, mult(a, mult(mult(a, mult(c, b)), a)))),
% 5.83/6.02 inference(symmetry,[status(thm)],[12303])).
% 5.83/6.02 tff(12306,plain,
% 5.83/6.02 (mult(mult(b, a), mult(a, c)) = mult(mult(a, mult(c, b)), a)),
% 5.83/6.02 inference(transitivity,[status(thm)],[12189, 12188, 12305, 5407])).
% 5.83/6.02 tff(12307,plain,
% 5.83/6.02 (mult(mult(mult(b, a), mult(a, c)), b) = mult(mult(mult(a, mult(c, b)), a), b)),
% 5.83/6.02 inference(monotonicity,[status(thm)],[12306])).
% 5.83/6.02 tff(12308,plain,
% 5.83/6.02 (mult(c, mult(mult(b, a), a)) = mult(mult(c, a), mult(b, a))),
% 5.83/6.02 inference(symmetry,[status(thm)],[7661])).
% 5.83/6.02 tff(12309,plain,
% 5.83/6.02 (mult(mult(mult(a, b), c), mult(mult(a, b), a)) = mult(mult(mult(mult(mult(a, b), c), a), b), a)),
% 5.83/6.02 inference(symmetry,[status(thm)],[11794])).
% 5.83/6.02 tff(12310,plain,
% 5.83/6.02 (mult(mult(mult(a, b), c), mult(a, mult(b, a))) = mult(mult(mult(a, b), c), mult(mult(a, b), a))),
% 5.83/6.02 inference(monotonicity,[status(thm)],[4194])).
% 5.83/6.02 tff(12311,plain,
% 5.83/6.02 (mult(mult(mult(a, b), c), mult(a, mult(b, a))) = mult(mult(mult(mult(mult(a, b), c), a), b), a)),
% 5.83/6.02 inference(transitivity,[status(thm)],[12310, 12309])).
% 5.83/6.02 tff(12312,plain,
% 5.83/6.02 ((mult(mult(mult(mult(a, b), c), a), mult(b, a)) = mult(mult(mult(a, b), c), mult(a, mult(b, a)))) <=> (mult(mult(mult(mult(a, b), c), a), mult(b, a)) = mult(mult(mult(mult(mult(a, b), c), a), b), a))),
% 5.83/6.02 inference(monotonicity,[status(thm)],[12311])).
% 5.83/6.02 tff(12313,plain,
% 5.83/6.02 ((mult(mult(mult(mult(a, b), c), a), mult(b, a)) = mult(mult(mult(a, b), c), mult(a, mult(b, a)))) <=> (mult(mult(mult(mult(mult(a, b), c), a), b), a) = mult(mult(mult(mult(a, b), c), a), mult(b, a)))),
% 5.83/6.02 inference(transitivity,[status(thm)],[12312, 7503])).
% 5.83/6.02 tff(12314,plain,
% 5.83/6.02 ((mult(mult(mult(mult(mult(a, b), c), a), b), a) = mult(mult(mult(mult(a, b), c), a), mult(b, a))) <=> (mult(mult(mult(mult(a, b), c), a), mult(b, a)) = mult(mult(mult(a, b), c), mult(a, mult(b, a))))),
% 5.83/6.02 inference(symmetry,[status(thm)],[12313])).
% 5.83/6.02 tff(12315,plain,
% 5.83/6.02 ((~(mult(mult(mult(mult(mult(a, b), c), a), b), a) = mult(mult(mult(mult(a, b), c), a), mult(b, a)))) <=> (~(mult(mult(mult(mult(a, b), c), a), mult(b, a)) = mult(mult(mult(a, b), c), mult(a, mult(b, a)))))),
% 5.83/6.02 inference(monotonicity,[status(thm)],[12314])).
% 5.83/6.02 tff(12316,assumption,(~(mult(mult(mult(mult(mult(a, b), c), a), b), a) = mult(mult(mult(mult(a, b), c), a), mult(b, a)))), introduced(assumption)).
% 5.83/6.02 tff(12317,plain,
% 5.83/6.02 (~(mult(mult(mult(mult(a, b), c), a), mult(b, a)) = mult(mult(mult(a, b), c), mult(a, mult(b, a))))),
% 5.83/6.02 inference(modus_ponens,[status(thm)],[12316, 12315])).
% 5.83/6.02 tff(12318,plain,
% 5.83/6.02 (((~(mult(mult(mult(mult(a, b), c), mult(b, a)), a) = mult(mult(mult(a, b), c), mult(mult(b, a), a)))) | (~(mult(mult(mult(mult(a, b), c), a), mult(b, a)) = mult(mult(mult(a, b), c), mult(a, mult(b, a)))))) | (mult(mult(mult(mult(a, b), c), a), mult(b, a)) = mult(mult(mult(a, b), c), mult(a, mult(b, a))))),
% 5.83/6.02 inference(tautology,[status(thm)],[])).
% 5.83/6.02 tff(12319,plain,
% 5.83/6.02 ((~(mult(mult(mult(mult(a, b), c), mult(b, a)), a) = mult(mult(mult(a, b), c), mult(mult(b, a), a)))) | (~(mult(mult(mult(mult(a, b), c), a), mult(b, a)) = mult(mult(mult(a, b), c), mult(a, mult(b, a)))))),
% 5.83/6.02 inference(unit_resolution,[status(thm)],[12318, 12317])).
% 5.83/6.02 tff(12320,plain,
% 5.83/6.02 (((~![X0: $i, X1: $i, X2: $i] : ((~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X2, X1)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X1, X2)))))) | (~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X1, X2)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X2, X1)))))))) | ((~((~(mult(mult(mult(mult(a, b), c), mult(b, a)), a) = mult(mult(mult(a, b), c), mult(a, mult(b, a))))) | (~(mult(mult(mult(mult(a, b), c), a), mult(b, a)) = mult(mult(mult(a, b), c), mult(mult(b, a), a)))))) | (~((~(mult(mult(mult(mult(a, b), c), mult(b, a)), a) = mult(mult(mult(a, b), c), mult(mult(b, a), a)))) | (~(mult(mult(mult(mult(a, b), c), a), mult(b, a)) = mult(mult(mult(a, b), c), mult(a, mult(b, a))))))))) <=> ((~![X0: $i, X1: $i, X2: $i] : ((~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X2, X1)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X1, X2)))))) | (~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X1, X2)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X2, X1)))))))) | (~((~(mult(mult(mult(mult(a, b), c), mult(b, a)), a) = mult(mult(mult(a, b), c), mult(a, mult(b, a))))) | (~(mult(mult(mult(mult(a, b), c), a), mult(b, a)) = mult(mult(mult(a, b), c), mult(mult(b, a), a)))))) | (~((~(mult(mult(mult(mult(a, b), c), mult(b, a)), a) = mult(mult(mult(a, b), c), mult(mult(b, a), a)))) | (~(mult(mult(mult(mult(a, b), c), a), mult(b, a)) = mult(mult(mult(a, b), c), mult(a, mult(b, a))))))))),
% 5.83/6.03 inference(rewrite,[status(thm)],[])).
% 5.83/6.03 tff(12321,plain,
% 5.83/6.03 ((~![X0: $i, X1: $i, X2: $i] : ((~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X2, X1)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X1, X2)))))) | (~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X1, X2)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X2, X1)))))))) | ((~((~(mult(mult(mult(mult(a, b), c), mult(b, a)), a) = mult(mult(mult(a, b), c), mult(a, mult(b, a))))) | (~(mult(mult(mult(mult(a, b), c), a), mult(b, a)) = mult(mult(mult(a, b), c), mult(mult(b, a), a)))))) | (~((~(mult(mult(mult(mult(a, b), c), mult(b, a)), a) = mult(mult(mult(a, b), c), mult(mult(b, a), a)))) | (~(mult(mult(mult(mult(a, b), c), a), mult(b, a)) = mult(mult(mult(a, b), c), mult(a, mult(b, a))))))))),
% 5.83/6.03 inference(quant_inst,[status(thm)],[])).
% 5.83/6.03 tff(12322,plain,
% 5.83/6.03 ((~![X0: $i, X1: $i, X2: $i] : ((~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X2, X1)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X1, X2)))))) | (~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X1, X2)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X2, X1)))))))) | (~((~(mult(mult(mult(mult(a, b), c), mult(b, a)), a) = mult(mult(mult(a, b), c), mult(a, mult(b, a))))) | (~(mult(mult(mult(mult(a, b), c), a), mult(b, a)) = mult(mult(mult(a, b), c), mult(mult(b, a), a)))))) | (~((~(mult(mult(mult(mult(a, b), c), mult(b, a)), a) = mult(mult(mult(a, b), c), mult(mult(b, a), a)))) | (~(mult(mult(mult(mult(a, b), c), a), mult(b, a)) = mult(mult(mult(a, b), c), mult(a, mult(b, a)))))))),
% 5.83/6.03 inference(modus_ponens,[status(thm)],[12321, 12320])).
% 5.83/6.03 tff(12323,plain,
% 5.83/6.03 ((~((~(mult(mult(mult(mult(a, b), c), mult(b, a)), a) = mult(mult(mult(a, b), c), mult(a, mult(b, a))))) | (~(mult(mult(mult(mult(a, b), c), a), mult(b, a)) = mult(mult(mult(a, b), c), mult(mult(b, a), a)))))) | (~((~(mult(mult(mult(mult(a, b), c), mult(b, a)), a) = mult(mult(mult(a, b), c), mult(mult(b, a), a)))) | (~(mult(mult(mult(mult(a, b), c), a), mult(b, a)) = mult(mult(mult(a, b), c), mult(a, mult(b, a)))))))),
% 5.83/6.03 inference(unit_resolution,[status(thm)],[12322, 30])).
% 5.83/6.03 tff(12324,plain,
% 5.83/6.03 (~((~(mult(mult(mult(mult(a, b), c), mult(b, a)), a) = mult(mult(mult(a, b), c), mult(a, mult(b, a))))) | (~(mult(mult(mult(mult(a, b), c), a), mult(b, a)) = mult(mult(mult(a, b), c), mult(mult(b, a), a)))))),
% 5.83/6.03 inference(unit_resolution,[status(thm)],[12323, 12319])).
% 5.83/6.03 tff(12325,plain,
% 5.83/6.03 (((~(mult(mult(mult(mult(a, b), c), mult(b, a)), a) = mult(mult(mult(a, b), c), mult(a, mult(b, a))))) | (~(mult(mult(mult(mult(a, b), c), a), mult(b, a)) = mult(mult(mult(a, b), c), mult(mult(b, a), a))))) | (mult(mult(mult(mult(a, b), c), a), mult(b, a)) = mult(mult(mult(a, b), c), mult(mult(b, a), a)))),
% 5.83/6.03 inference(tautology,[status(thm)],[])).
% 5.83/6.03 tff(12326,plain,
% 5.83/6.03 (mult(mult(mult(mult(a, b), c), a), mult(b, a)) = mult(mult(mult(a, b), c), mult(mult(b, a), a))),
% 5.83/6.03 inference(unit_resolution,[status(thm)],[12325, 12324])).
% 5.83/6.03 tff(12327,plain,
% 5.83/6.03 ((~(mult(mult(mult(mult(mult(a, b), c), a), a), b) = mult(mult(mult(mult(a, b), c), a), mult(a, b)))) | (~(mult(mult(mult(mult(mult(a, b), c), a), b), a) = mult(mult(mult(mult(a, b), c), a), mult(b, a))))),
% 5.83/6.03 inference(unit_resolution,[status(thm)],[11292, 12316])).
% 5.83/6.03 tff(12328,plain,
% 5.83/6.03 (~((~(mult(mult(mult(mult(mult(a, b), c), a), a), b) = mult(mult(mult(mult(a, b), c), a), mult(b, a)))) | (~(mult(mult(mult(mult(mult(a, b), c), a), b), a) = mult(mult(mult(mult(a, b), c), a), mult(a, b)))))),
% 5.83/6.03 inference(unit_resolution,[status(thm)],[11296, 30, 12327])).
% 5.83/6.03 tff(12329,plain,
% 5.83/6.03 (((~(mult(mult(mult(mult(mult(a, b), c), a), a), b) = mult(mult(mult(mult(a, b), c), a), mult(b, a)))) | (~(mult(mult(mult(mult(mult(a, b), c), a), b), a) = mult(mult(mult(mult(a, b), c), a), mult(a, b))))) | (mult(mult(mult(mult(mult(a, b), c), a), a), b) = mult(mult(mult(mult(a, b), c), a), mult(b, a)))),
% 5.83/6.03 inference(tautology,[status(thm)],[])).
% 5.83/6.03 tff(12330,plain,
% 5.83/6.03 (mult(mult(mult(mult(mult(a, b), c), a), a), b) = mult(mult(mult(mult(a, b), c), a), mult(b, a))),
% 5.83/6.03 inference(unit_resolution,[status(thm)],[12329, 12328])).
% 5.83/6.03 tff(12331,plain,
% 5.83/6.03 (mult(mult(a, mult(mult(c, a), b)), a) = mult(mult(mult(a, c), mult(b, a)), a)),
% 5.83/6.03 inference(symmetry,[status(thm)],[12113])).
% 5.83/6.03 tff(12332,plain,
% 5.83/6.03 (mult(mult(mult(b, a), mult(a, mult(a, c))), b) = mult(mult(b, a), mult(b, mult(a, mult(a, c))))),
% 5.83/6.03 inference(unit_resolution,[status(thm)],[11444, 12292])).
% 5.83/6.03 tff(12333,plain,
% 5.83/6.03 (mult(mult(b, a), mult(a, mult(a, c))) = mult(mult(mult(b, a), mult(a, c)), a)),
% 5.83/6.03 inference(transitivity,[status(thm)],[11363, 10950])).
% 5.83/6.03 tff(12334,plain,
% 5.83/6.03 (mult(mult(mult(b, a), mult(a, mult(a, c))), b) = mult(mult(mult(mult(b, a), mult(a, c)), a), b)),
% 5.83/6.03 inference(monotonicity,[status(thm)],[12333])).
% 5.83/6.03 tff(12335,plain,
% 5.83/6.03 (mult(mult(mult(mult(b, a), mult(a, c)), a), b) = mult(mult(mult(b, a), mult(a, mult(a, c))), b)),
% 5.83/6.03 inference(symmetry,[status(thm)],[12334])).
% 5.83/6.03 tff(12336,plain,
% 5.83/6.03 (mult(mult(b, a), mult(a, mult(mult(c, a), b))) = mult(mult(b, a), mult(b, mult(a, mult(a, c))))),
% 5.83/6.03 inference(transitivity,[status(thm)],[11566, 12211, 11411, 12335, 12332])).
% 5.83/6.03 tff(12337,plain,
% 5.83/6.03 (ld(mult(b, a), mult(mult(b, a), mult(a, mult(mult(c, a), b)))) = ld(mult(b, a), mult(mult(b, a), mult(b, mult(a, mult(a, c)))))),
% 5.83/6.03 inference(monotonicity,[status(thm)],[12336])).
% 5.83/6.03 tff(12338,plain,
% 5.83/6.03 (mult(a, mult(mult(c, a), b)) = mult(b, mult(a, mult(a, c)))),
% 5.83/6.03 inference(transitivity,[status(thm)],[11448, 12337, 11433])).
% 5.83/6.03 tff(12339,plain,
% 5.83/6.03 (mult(mult(a, mult(mult(c, a), b)), a) = mult(mult(b, mult(a, mult(a, c))), a)),
% 5.83/6.03 inference(monotonicity,[status(thm)],[12338])).
% 5.83/6.03 tff(12340,plain,
% 5.83/6.03 (mult(mult(b, mult(a, mult(a, c))), a) = mult(mult(a, mult(mult(c, a), b)), a)),
% 5.83/6.03 inference(symmetry,[status(thm)],[12339])).
% 5.83/6.03 tff(12341,plain,
% 5.83/6.03 (mult(mult(b, mult(a, mult(a, c))), a) = mult(mult(mult(mult(b, c), a), a), a)),
% 5.83/6.03 inference(monotonicity,[status(thm)],[10657])).
% 5.83/6.03 tff(12342,plain,
% 5.83/6.03 (mult(mult(mult(mult(b, c), a), a), a) = mult(mult(b, mult(a, mult(a, c))), a)),
% 5.83/6.03 inference(symmetry,[status(thm)],[12341])).
% 5.83/6.03 tff(12343,plain,
% 5.83/6.03 (((~![X0: $i, X1: $i, X2: $i] : ((~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X2, X1)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X1, X2)))))) | (~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X1, X2)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X2, X1)))))))) | (mult(mult(mult(mult(b, c), a), a), a) = mult(mult(mult(b, c), a), mult(a, a)))) <=> ((~![X0: $i, X1: $i, X2: $i] : ((~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X2, X1)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X1, X2)))))) | (~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X1, X2)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X2, X1)))))))) | (mult(mult(mult(mult(b, c), a), a), a) = mult(mult(mult(b, c), a), mult(a, a))))),
% 5.83/6.03 inference(rewrite,[status(thm)],[])).
% 5.83/6.03 tff(12344,plain,
% 5.83/6.03 (((mult(mult(mult(mult(b, c), a), a), a) = mult(mult(mult(b, c), a), mult(a, a))) | (mult(mult(mult(mult(b, c), a), a), a) = mult(mult(mult(b, c), a), mult(a, a)))) <=> (mult(mult(mult(mult(b, c), a), a), a) = mult(mult(mult(b, c), a), mult(a, a)))),
% 5.83/6.03 inference(rewrite,[status(thm)],[])).
% 5.83/6.03 tff(12345,plain,
% 5.83/6.03 ((~(~(mult(mult(mult(mult(b, c), a), a), a) = mult(mult(mult(b, c), a), mult(a, a))))) <=> (mult(mult(mult(mult(b, c), a), a), a) = mult(mult(mult(b, c), a), mult(a, a)))),
% 5.83/6.03 inference(rewrite,[status(thm)],[])).
% 5.83/6.03 tff(12346,plain,
% 5.83/6.03 (((~(mult(mult(mult(mult(b, c), a), a), a) = mult(mult(mult(b, c), a), mult(a, a)))) | (~(mult(mult(mult(mult(b, c), a), a), a) = mult(mult(mult(b, c), a), mult(a, a))))) <=> (~(mult(mult(mult(mult(b, c), a), a), a) = mult(mult(mult(b, c), a), mult(a, a))))),
% 5.83/6.03 inference(rewrite,[status(thm)],[])).
% 5.83/6.03 tff(12347,plain,
% 5.83/6.03 ((~((~(mult(mult(mult(mult(b, c), a), a), a) = mult(mult(mult(b, c), a), mult(a, a)))) | (~(mult(mult(mult(mult(b, c), a), a), a) = mult(mult(mult(b, c), a), mult(a, a)))))) <=> (~(~(mult(mult(mult(mult(b, c), a), a), a) = mult(mult(mult(b, c), a), mult(a, a)))))),
% 5.83/6.03 inference(monotonicity,[status(thm)],[12346])).
% 5.83/6.03 tff(12348,plain,
% 5.83/6.03 ((~((~(mult(mult(mult(mult(b, c), a), a), a) = mult(mult(mult(b, c), a), mult(a, a)))) | (~(mult(mult(mult(mult(b, c), a), a), a) = mult(mult(mult(b, c), a), mult(a, a)))))) <=> (mult(mult(mult(mult(b, c), a), a), a) = mult(mult(mult(b, c), a), mult(a, a)))),
% 5.83/6.03 inference(transitivity,[status(thm)],[12347, 12345])).
% 5.83/6.03 tff(12349,plain,
% 5.83/6.03 (((~((~(mult(mult(mult(mult(b, c), a), a), a) = mult(mult(mult(b, c), a), mult(a, a)))) | (~(mult(mult(mult(mult(b, c), a), a), a) = mult(mult(mult(b, c), a), mult(a, a)))))) | (~((~(mult(mult(mult(mult(b, c), a), a), a) = mult(mult(mult(b, c), a), mult(a, a)))) | (~(mult(mult(mult(mult(b, c), a), a), a) = mult(mult(mult(b, c), a), mult(a, a))))))) <=> ((mult(mult(mult(mult(b, c), a), a), a) = mult(mult(mult(b, c), a), mult(a, a))) | (mult(mult(mult(mult(b, c), a), a), a) = mult(mult(mult(b, c), a), mult(a, a))))),
% 5.83/6.03 inference(monotonicity,[status(thm)],[12348, 12348])).
% 5.83/6.03 tff(12350,plain,
% 5.83/6.03 (((~((~(mult(mult(mult(mult(b, c), a), a), a) = mult(mult(mult(b, c), a), mult(a, a)))) | (~(mult(mult(mult(mult(b, c), a), a), a) = mult(mult(mult(b, c), a), mult(a, a)))))) | (~((~(mult(mult(mult(mult(b, c), a), a), a) = mult(mult(mult(b, c), a), mult(a, a)))) | (~(mult(mult(mult(mult(b, c), a), a), a) = mult(mult(mult(b, c), a), mult(a, a))))))) <=> (mult(mult(mult(mult(b, c), a), a), a) = mult(mult(mult(b, c), a), mult(a, a)))),
% 5.83/6.03 inference(transitivity,[status(thm)],[12349, 12344])).
% 5.83/6.03 tff(12351,plain,
% 5.83/6.03 (((~![X0: $i, X1: $i, X2: $i] : ((~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X2, X1)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X1, X2)))))) | (~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X1, X2)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X2, X1)))))))) | ((~((~(mult(mult(mult(mult(b, c), a), a), a) = mult(mult(mult(b, c), a), mult(a, a)))) | (~(mult(mult(mult(mult(b, c), a), a), a) = mult(mult(mult(b, c), a), mult(a, a)))))) | (~((~(mult(mult(mult(mult(b, c), a), a), a) = mult(mult(mult(b, c), a), mult(a, a)))) | (~(mult(mult(mult(mult(b, c), a), a), a) = mult(mult(mult(b, c), a), mult(a, a)))))))) <=> ((~![X0: $i, X1: $i, X2: $i] : ((~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X2, X1)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X1, X2)))))) | (~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X1, X2)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X2, X1)))))))) | (mult(mult(mult(mult(b, c), a), a), a) = mult(mult(mult(b, c), a), mult(a, a))))),
% 5.83/6.03 inference(monotonicity,[status(thm)],[12350])).
% 5.83/6.03 tff(12352,plain,
% 5.83/6.03 (((~![X0: $i, X1: $i, X2: $i] : ((~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X2, X1)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X1, X2)))))) | (~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X1, X2)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X2, X1)))))))) | ((~((~(mult(mult(mult(mult(b, c), a), a), a) = mult(mult(mult(b, c), a), mult(a, a)))) | (~(mult(mult(mult(mult(b, c), a), a), a) = mult(mult(mult(b, c), a), mult(a, a)))))) | (~((~(mult(mult(mult(mult(b, c), a), a), a) = mult(mult(mult(b, c), a), mult(a, a)))) | (~(mult(mult(mult(mult(b, c), a), a), a) = mult(mult(mult(b, c), a), mult(a, a)))))))) <=> ((~![X0: $i, X1: $i, X2: $i] : ((~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X2, X1)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X1, X2)))))) | (~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X1, X2)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X2, X1)))))))) | (mult(mult(mult(mult(b, c), a), a), a) = mult(mult(mult(b, c), a), mult(a, a))))),
% 5.83/6.03 inference(transitivity,[status(thm)],[12351, 12343])).
% 5.83/6.03 tff(12353,plain,
% 5.83/6.03 ((~![X0: $i, X1: $i, X2: $i] : ((~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X2, X1)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X1, X2)))))) | (~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X1, X2)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X2, X1)))))))) | ((~((~(mult(mult(mult(mult(b, c), a), a), a) = mult(mult(mult(b, c), a), mult(a, a)))) | (~(mult(mult(mult(mult(b, c), a), a), a) = mult(mult(mult(b, c), a), mult(a, a)))))) | (~((~(mult(mult(mult(mult(b, c), a), a), a) = mult(mult(mult(b, c), a), mult(a, a)))) | (~(mult(mult(mult(mult(b, c), a), a), a) = mult(mult(mult(b, c), a), mult(a, a)))))))),
% 5.83/6.03 inference(quant_inst,[status(thm)],[])).
% 5.83/6.03 tff(12354,plain,
% 5.83/6.03 ((~![X0: $i, X1: $i, X2: $i] : ((~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X2, X1)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X1, X2)))))) | (~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X1, X2)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X2, X1)))))))) | (mult(mult(mult(mult(b, c), a), a), a) = mult(mult(mult(b, c), a), mult(a, a)))),
% 5.83/6.03 inference(modus_ponens,[status(thm)],[12353, 12352])).
% 5.83/6.03 tff(12355,plain,
% 5.83/6.03 (mult(mult(mult(mult(b, c), a), a), a) = mult(mult(mult(b, c), a), mult(a, a))),
% 5.83/6.03 inference(unit_resolution,[status(thm)],[12354, 30])).
% 5.83/6.03 tff(12356,plain,
% 5.83/6.03 (mult(mult(mult(b, c), a), mult(a, a)) = mult(mult(mult(mult(b, c), a), a), a)),
% 5.83/6.03 inference(symmetry,[status(thm)],[12355])).
% 5.83/6.03 tff(12357,plain,
% 5.83/6.03 (mult(mult(mult(b, c), a), mult(a, a)) = mult(mult(b, mult(a, c)), mult(a, a))),
% 5.83/6.03 inference(monotonicity,[status(thm)],[3433])).
% 5.83/6.03 tff(12358,plain,
% 5.83/6.03 (mult(mult(b, mult(a, c)), mult(a, a)) = mult(mult(mult(b, c), a), mult(a, a))),
% 5.83/6.03 inference(symmetry,[status(thm)],[12357])).
% 5.83/6.03 tff(12359,plain,
% 5.83/6.03 (mult(mult(b, mult(mult(a, b), a)), mult(a, c)) = mult(mult(b, mult(mult(a, c), a)), mult(a, b))),
% 5.83/6.03 inference(transitivity,[status(thm)],[12042, 12200, 12192, 12029, 11155, 7884, 11596, 11316, 11595])).
% 5.83/6.03 tff(12360,plain,
% 5.83/6.03 ((mult(mult(b, mult(mult(a, b), a)), mult(a, c)) = mult(b, mult(mult(a, c), mult(mult(a, b), a)))) <=> (mult(mult(b, mult(mult(a, c), a)), mult(a, b)) = mult(b, mult(mult(mult(a, c), a), mult(a, b))))),
% 5.83/6.03 inference(monotonicity,[status(thm)],[12359, 11172])).
% 5.83/6.03 tff(12361,plain,
% 5.83/6.03 ((mult(mult(b, mult(mult(a, c), a)), mult(a, b)) = mult(b, mult(mult(mult(a, c), a), mult(a, b)))) <=> (mult(mult(b, mult(mult(a, b), a)), mult(a, c)) = mult(b, mult(mult(a, c), mult(mult(a, b), a))))),
% 5.83/6.03 inference(symmetry,[status(thm)],[12360])).
% 5.83/6.03 tff(12362,plain,
% 5.83/6.03 ((mult(mult(mult(b, mult(c, a)), a), mult(b, a)) = mult(mult(b, mult(c, a)), mult(a, mult(b, a)))) <=> (mult(mult(b, mult(mult(a, b), a)), mult(a, c)) = mult(b, mult(mult(a, c), mult(mult(a, b), a))))),
% 5.83/6.03 inference(transitivity,[status(thm)],[12268, 12361])).
% 5.83/6.03 tff(12363,plain,
% 5.83/6.03 ((~(mult(mult(mult(b, mult(c, a)), a), mult(b, a)) = mult(mult(b, mult(c, a)), mult(a, mult(b, a))))) <=> (~(mult(mult(b, mult(mult(a, b), a)), mult(a, c)) = mult(b, mult(mult(a, c), mult(mult(a, b), a)))))),
% 5.83/6.03 inference(monotonicity,[status(thm)],[12362])).
% 5.83/6.03 tff(12364,plain,
% 5.83/6.03 (~(mult(mult(b, mult(mult(a, b), a)), mult(a, c)) = mult(b, mult(mult(a, c), mult(mult(a, b), a))))),
% 5.83/6.03 inference(modus_ponens,[status(thm)],[10726, 12363])).
% 5.83/6.03 tff(12365,plain,
% 5.83/6.03 ((~(mult(mult(b, mult(a, c)), mult(mult(a, b), a)) = mult(b, mult(mult(mult(a, b), a), mult(a, c))))) | (~(mult(mult(b, mult(mult(a, b), a)), mult(a, c)) = mult(b, mult(mult(a, c), mult(mult(a, b), a)))))),
% 5.83/6.03 inference(unit_resolution,[status(thm)],[11187, 12364])).
% 5.83/6.03 tff(12366,plain,
% 5.83/6.03 (~((~(mult(mult(b, mult(a, c)), mult(mult(a, b), a)) = mult(b, mult(mult(a, c), mult(mult(a, b), a))))) | (~(mult(mult(b, mult(mult(a, b), a)), mult(a, c)) = mult(b, mult(mult(mult(a, b), a), mult(a, c))))))),
% 5.83/6.03 inference(unit_resolution,[status(thm)],[11195, 12365])).
% 5.83/6.03 tff(12367,plain,
% 5.83/6.03 (mult(mult(b, mult(a, c)), mult(mult(a, b), a)) = mult(b, mult(mult(a, c), mult(mult(a, b), a)))),
% 5.83/6.03 inference(unit_resolution,[status(thm)],[11197, 12366])).
% 5.83/6.03 tff(12368,plain,
% 5.83/6.03 (mult(b, mult(mult(a, c), mult(mult(a, b), a))) = mult(mult(b, mult(a, c)), mult(mult(a, b), a))),
% 5.83/6.03 inference(symmetry,[status(thm)],[12367])).
% 5.83/6.03 tff(12369,plain,
% 5.83/6.03 (mult(b, mult(mult(a, mult(mult(c, a), b)), a)) = mult(b, mult(mult(mult(a, c), a), mult(a, b)))),
% 5.83/6.03 inference(symmetry,[status(thm)],[12264])).
% 5.83/6.03 tff(12370,plain,
% 5.83/6.03 (mult(mult(b, a), mult(a, mult(mult(c, a), b))) = mult(mult(mult(b, a), mult(mult(c, a), b)), a)),
% 5.83/6.04 inference(symmetry,[status(thm)],[12261])).
% 5.83/6.04 tff(12371,plain,
% 5.83/6.04 (mult(mult(b, a), mult(mult(a, c), mult(b, a))) = mult(mult(b, a), mult(a, mult(mult(c, a), b)))),
% 5.83/6.04 inference(symmetry,[status(thm)],[11566])).
% 5.83/6.04 tff(12372,plain,
% 5.83/6.04 (mult(mult(mult(mult(a, c), a), b), mult(a, c)) = mult(mult(mult(a, c), mult(b, a)), mult(a, c))),
% 5.83/6.04 inference(monotonicity,[status(thm)],[10730])).
% 5.83/6.04 tff(12373,plain,
% 5.83/6.04 (mult(mult(mult(mult(mult(a, c), a), b), mult(a, c)), b) = mult(mult(mult(mult(a, c), mult(b, a)), mult(a, c)), b)),
% 5.83/6.04 inference(monotonicity,[status(thm)],[12372])).
% 5.83/6.04 tff(12374,plain,
% 5.83/6.04 (mult(mult(mult(a, c), a), mult(mult(mult(b, c), a), b)) = mult(mult(mult(mult(a, c), mult(b, a)), mult(a, c)), b)),
% 5.83/6.04 inference(transitivity,[status(thm)],[6791, 6790, 12373])).
% 5.83/6.04 tff(12375,plain,
% 5.83/6.04 (mult(mult(mult(mult(a, c), a), mult(mult(mult(b, c), a), b)), a) = mult(mult(mult(mult(mult(a, c), mult(b, a)), mult(a, c)), b), a)),
% 5.83/6.04 inference(monotonicity,[status(thm)],[12374])).
% 5.83/6.04 tff(12376,plain,
% 5.83/6.04 (mult(mult(a, c), mult(mult(a, mult(mult(mult(b, c), a), b)), a)) = mult(mult(a, c), mult(mult(mult(b, a), mult(a, c)), mult(b, a)))),
% 5.83/6.04 inference(transitivity,[status(thm)],[6687, 12375, 6785, 7198])).
% 5.83/6.04 tff(12377,plain,
% 5.83/6.04 (ld(mult(a, c), mult(mult(a, c), mult(mult(a, mult(mult(mult(b, c), a), b)), a))) = ld(mult(a, c), mult(mult(a, c), mult(mult(mult(b, a), mult(a, c)), mult(b, a))))),
% 5.83/6.04 inference(monotonicity,[status(thm)],[12376])).
% 5.83/6.04 tff(12378,plain,
% 5.83/6.04 (mult(mult(mult(a, b), c), mult(mult(a, b), a)) = mult(mult(mult(b, c), a), mult(mult(a, b), a))),
% 5.83/6.04 inference(transitivity,[status(thm)],[12309, 7204, 7203, 12377, 7196, 12210, 12371, 12370, 11157, 12369, 12089, 12368, 12037])).
% 5.83/6.04 tff(12379,plain,
% 5.83/6.04 (rd(mult(mult(mult(a, b), c), mult(mult(a, b), a)), mult(mult(a, b), a)) = rd(mult(mult(mult(b, c), a), mult(mult(a, b), a)), mult(mult(a, b), a))),
% 5.83/6.04 inference(monotonicity,[status(thm)],[12378])).
% 5.83/6.04 tff(12380,plain,
% 5.83/6.04 (rd(mult(mult(mult(b, c), a), mult(mult(a, b), a)), mult(mult(a, b), a)) = rd(mult(mult(mult(a, b), c), mult(mult(a, b), a)), mult(mult(a, b), a))),
% 5.83/6.04 inference(symmetry,[status(thm)],[12379])).
% 5.83/6.04 tff(12381,plain,
% 5.83/6.04 (mult(b, mult(a, c)) = mult(a, mult(b, c))),
% 5.83/6.04 inference(transitivity,[status(thm)],[5317, 11204, 12380, 11920, 8959])).
% 5.83/6.04 tff(12382,plain,
% 5.83/6.04 (mult(mult(b, mult(a, c)), mult(a, a)) = mult(mult(a, mult(b, c)), mult(a, a))),
% 5.83/6.04 inference(monotonicity,[status(thm)],[12381])).
% 5.83/6.04 tff(12383,plain,
% 5.83/6.04 (mult(mult(a, mult(b, c)), mult(a, a)) = mult(mult(b, mult(a, c)), mult(a, a))),
% 5.83/6.04 inference(symmetry,[status(thm)],[12382])).
% 5.83/6.04 tff(12384,plain,
% 5.83/6.04 (mult(mult(a, mult(b, c)), mult(a, a)) = mult(mult(mult(a, b), c), mult(a, a))),
% 5.83/6.04 inference(monotonicity,[status(thm)],[10419])).
% 5.83/6.04 tff(12385,plain,
% 5.83/6.04 (mult(mult(mult(a, b), c), mult(a, a)) = mult(mult(a, mult(b, c)), mult(a, a))),
% 5.83/6.04 inference(symmetry,[status(thm)],[12384])).
% 5.83/6.04 tff(12386,plain,
% 5.83/6.04 (((~![X0: $i, X1: $i, X2: $i] : ((~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X2, X1)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X1, X2)))))) | (~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X1, X2)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X2, X1)))))))) | (mult(mult(mult(mult(a, b), c), a), a) = mult(mult(mult(a, b), c), mult(a, a)))) <=> ((~![X0: $i, X1: $i, X2: $i] : ((~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X2, X1)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X1, X2)))))) | (~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X1, X2)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X2, X1)))))))) | (mult(mult(mult(mult(a, b), c), a), a) = mult(mult(mult(a, b), c), mult(a, a))))),
% 5.83/6.04 inference(rewrite,[status(thm)],[])).
% 5.83/6.04 tff(12387,plain,
% 5.83/6.04 (((mult(mult(mult(mult(a, b), c), a), a) = mult(mult(mult(a, b), c), mult(a, a))) | (mult(mult(mult(mult(a, b), c), a), a) = mult(mult(mult(a, b), c), mult(a, a)))) <=> (mult(mult(mult(mult(a, b), c), a), a) = mult(mult(mult(a, b), c), mult(a, a)))),
% 5.83/6.04 inference(rewrite,[status(thm)],[])).
% 5.83/6.04 tff(12388,plain,
% 5.83/6.04 ((~(~(mult(mult(mult(mult(a, b), c), a), a) = mult(mult(mult(a, b), c), mult(a, a))))) <=> (mult(mult(mult(mult(a, b), c), a), a) = mult(mult(mult(a, b), c), mult(a, a)))),
% 5.83/6.04 inference(rewrite,[status(thm)],[])).
% 5.83/6.04 tff(12389,plain,
% 5.83/6.04 (((~(mult(mult(mult(mult(a, b), c), a), a) = mult(mult(mult(a, b), c), mult(a, a)))) | (~(mult(mult(mult(mult(a, b), c), a), a) = mult(mult(mult(a, b), c), mult(a, a))))) <=> (~(mult(mult(mult(mult(a, b), c), a), a) = mult(mult(mult(a, b), c), mult(a, a))))),
% 5.83/6.04 inference(rewrite,[status(thm)],[])).
% 5.83/6.04 tff(12390,plain,
% 5.83/6.04 ((~((~(mult(mult(mult(mult(a, b), c), a), a) = mult(mult(mult(a, b), c), mult(a, a)))) | (~(mult(mult(mult(mult(a, b), c), a), a) = mult(mult(mult(a, b), c), mult(a, a)))))) <=> (~(~(mult(mult(mult(mult(a, b), c), a), a) = mult(mult(mult(a, b), c), mult(a, a)))))),
% 5.83/6.04 inference(monotonicity,[status(thm)],[12389])).
% 5.83/6.04 tff(12391,plain,
% 5.83/6.04 ((~((~(mult(mult(mult(mult(a, b), c), a), a) = mult(mult(mult(a, b), c), mult(a, a)))) | (~(mult(mult(mult(mult(a, b), c), a), a) = mult(mult(mult(a, b), c), mult(a, a)))))) <=> (mult(mult(mult(mult(a, b), c), a), a) = mult(mult(mult(a, b), c), mult(a, a)))),
% 5.83/6.04 inference(transitivity,[status(thm)],[12390, 12388])).
% 5.83/6.04 tff(12392,plain,
% 5.83/6.04 (((~((~(mult(mult(mult(mult(a, b), c), a), a) = mult(mult(mult(a, b), c), mult(a, a)))) | (~(mult(mult(mult(mult(a, b), c), a), a) = mult(mult(mult(a, b), c), mult(a, a)))))) | (~((~(mult(mult(mult(mult(a, b), c), a), a) = mult(mult(mult(a, b), c), mult(a, a)))) | (~(mult(mult(mult(mult(a, b), c), a), a) = mult(mult(mult(a, b), c), mult(a, a))))))) <=> ((mult(mult(mult(mult(a, b), c), a), a) = mult(mult(mult(a, b), c), mult(a, a))) | (mult(mult(mult(mult(a, b), c), a), a) = mult(mult(mult(a, b), c), mult(a, a))))),
% 5.83/6.04 inference(monotonicity,[status(thm)],[12391, 12391])).
% 5.83/6.04 tff(12393,plain,
% 5.83/6.04 (((~((~(mult(mult(mult(mult(a, b), c), a), a) = mult(mult(mult(a, b), c), mult(a, a)))) | (~(mult(mult(mult(mult(a, b), c), a), a) = mult(mult(mult(a, b), c), mult(a, a)))))) | (~((~(mult(mult(mult(mult(a, b), c), a), a) = mult(mult(mult(a, b), c), mult(a, a)))) | (~(mult(mult(mult(mult(a, b), c), a), a) = mult(mult(mult(a, b), c), mult(a, a))))))) <=> (mult(mult(mult(mult(a, b), c), a), a) = mult(mult(mult(a, b), c), mult(a, a)))),
% 5.83/6.04 inference(transitivity,[status(thm)],[12392, 12387])).
% 5.83/6.04 tff(12394,plain,
% 5.83/6.04 (((~![X0: $i, X1: $i, X2: $i] : ((~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X2, X1)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X1, X2)))))) | (~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X1, X2)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X2, X1)))))))) | ((~((~(mult(mult(mult(mult(a, b), c), a), a) = mult(mult(mult(a, b), c), mult(a, a)))) | (~(mult(mult(mult(mult(a, b), c), a), a) = mult(mult(mult(a, b), c), mult(a, a)))))) | (~((~(mult(mult(mult(mult(a, b), c), a), a) = mult(mult(mult(a, b), c), mult(a, a)))) | (~(mult(mult(mult(mult(a, b), c), a), a) = mult(mult(mult(a, b), c), mult(a, a)))))))) <=> ((~![X0: $i, X1: $i, X2: $i] : ((~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X2, X1)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X1, X2)))))) | (~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X1, X2)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X2, X1)))))))) | (mult(mult(mult(mult(a, b), c), a), a) = mult(mult(mult(a, b), c), mult(a, a))))),
% 5.83/6.04 inference(monotonicity,[status(thm)],[12393])).
% 5.83/6.04 tff(12395,plain,
% 5.83/6.04 (((~![X0: $i, X1: $i, X2: $i] : ((~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X2, X1)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X1, X2)))))) | (~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X1, X2)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X2, X1)))))))) | ((~((~(mult(mult(mult(mult(a, b), c), a), a) = mult(mult(mult(a, b), c), mult(a, a)))) | (~(mult(mult(mult(mult(a, b), c), a), a) = mult(mult(mult(a, b), c), mult(a, a)))))) | (~((~(mult(mult(mult(mult(a, b), c), a), a) = mult(mult(mult(a, b), c), mult(a, a)))) | (~(mult(mult(mult(mult(a, b), c), a), a) = mult(mult(mult(a, b), c), mult(a, a)))))))) <=> ((~![X0: $i, X1: $i, X2: $i] : ((~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X2, X1)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X1, X2)))))) | (~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X1, X2)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X2, X1)))))))) | (mult(mult(mult(mult(a, b), c), a), a) = mult(mult(mult(a, b), c), mult(a, a))))),
% 5.83/6.04 inference(transitivity,[status(thm)],[12394, 12386])).
% 5.83/6.04 tff(12396,plain,
% 5.83/6.04 ((~![X0: $i, X1: $i, X2: $i] : ((~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X2, X1)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X1, X2)))))) | (~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X1, X2)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X2, X1)))))))) | ((~((~(mult(mult(mult(mult(a, b), c), a), a) = mult(mult(mult(a, b), c), mult(a, a)))) | (~(mult(mult(mult(mult(a, b), c), a), a) = mult(mult(mult(a, b), c), mult(a, a)))))) | (~((~(mult(mult(mult(mult(a, b), c), a), a) = mult(mult(mult(a, b), c), mult(a, a)))) | (~(mult(mult(mult(mult(a, b), c), a), a) = mult(mult(mult(a, b), c), mult(a, a)))))))),
% 5.83/6.04 inference(quant_inst,[status(thm)],[])).
% 5.83/6.04 tff(12397,plain,
% 5.83/6.04 ((~![X0: $i, X1: $i, X2: $i] : ((~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X2, X1)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X1, X2)))))) | (~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X1, X2)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X2, X1)))))))) | (mult(mult(mult(mult(a, b), c), a), a) = mult(mult(mult(a, b), c), mult(a, a)))),
% 5.83/6.04 inference(modus_ponens,[status(thm)],[12396, 12395])).
% 5.83/6.04 tff(12398,plain,
% 5.83/6.04 (mult(mult(mult(mult(a, b), c), a), a) = mult(mult(mult(a, b), c), mult(a, a))),
% 5.83/6.04 inference(unit_resolution,[status(thm)],[12397, 30])).
% 5.83/6.04 tff(12399,plain,
% 5.83/6.04 (mult(mult(mult(mult(a, b), c), a), a) = mult(mult(mult(a, c), mult(b, a)), a)),
% 5.83/6.04 inference(transitivity,[status(thm)],[12398, 12385, 12383, 12358, 12356, 12342, 12340, 12331])).
% 5.83/6.04 tff(12400,plain,
% 5.83/6.04 (mult(mult(mult(mult(mult(a, b), c), a), a), b) = mult(mult(mult(mult(a, c), mult(b, a)), a), b)),
% 5.83/6.04 inference(monotonicity,[status(thm)],[12399])).
% 5.83/6.04 tff(12401,plain,
% 5.83/6.04 (mult(mult(mult(mult(a, c), mult(b, a)), a), b) = mult(mult(mult(mult(mult(a, b), c), a), a), b)),
% 5.83/6.04 inference(symmetry,[status(thm)],[12400])).
% 5.83/6.04 tff(12402,plain,
% 5.83/6.04 (mult(mult(mult(a, c), mult(b, a)), a) = mult(b, mult(a, mult(a, mult(a, c))))),
% 5.83/6.04 inference(transitivity,[status(thm)],[12113, 12339, 11341])).
% 5.83/6.04 tff(12403,plain,
% 5.83/6.04 (mult(mult(mult(mult(a, c), mult(b, a)), a), b) = mult(mult(b, mult(a, mult(a, mult(a, c)))), b)),
% 5.83/6.04 inference(monotonicity,[status(thm)],[12402])).
% 5.83/6.04 tff(12404,plain,
% 5.83/6.04 (mult(mult(b, mult(a, mult(a, mult(a, c)))), b) = mult(mult(mult(mult(a, c), mult(b, a)), a), b)),
% 5.83/6.04 inference(symmetry,[status(thm)],[12403])).
% 5.83/6.04 tff(12405,plain,
% 5.83/6.04 (ld(mult(a, c), mult(mult(a, c), mult(mult(mult(b, a), mult(a, c)), mult(b, a)))) = ld(mult(a, c), mult(mult(a, c), mult(mult(a, mult(mult(mult(b, c), a), b)), a)))),
% 5.83/6.04 inference(symmetry,[status(thm)],[12377])).
% 5.83/6.04 tff(12406,plain,
% 5.83/6.04 (mult(mult(a, c), mult(a, mult(b, a))) = mult(mult(a, c), mult(mult(a, b), a))),
% 5.83/6.04 inference(symmetry,[status(thm)],[10827])).
% 5.83/6.04 tff(12407,plain,
% 5.83/6.04 (mult(b, mult(a, mult(a, mult(a, c)))) = mult(mult(b, mult(a, mult(a, c))), a)),
% 5.83/6.04 inference(symmetry,[status(thm)],[11341])).
% 5.83/6.04 tff(12408,plain,
% 5.83/6.04 (mult(b, mult(a, mult(a, mult(a, c)))) = mult(mult(mult(a, c), a), mult(a, b))),
% 5.83/6.04 inference(transitivity,[status(thm)],[12407, 12340, 12331, 10737, 12406, 11171])).
% 5.83/6.04 tff(12409,plain,
% 5.83/6.04 (mult(b, mult(b, mult(a, mult(a, mult(a, c))))) = mult(b, mult(mult(mult(a, c), a), mult(a, b)))),
% 5.83/6.04 inference(monotonicity,[status(thm)],[12408])).
% 5.83/6.04 tff(12410,plain,
% 5.83/6.04 (mult(b, mult(b, mult(a, mult(a, mult(a, c))))) = mult(mult(mult(mult(mult(a, b), c), a), b), a)),
% 5.83/6.04 inference(transitivity,[status(thm)],[12409, 12264, 11399, 12261, 11566, 12211, 7849, 12405, 7202, 11795])).
% 5.83/6.04 tff(12411,plain,
% 5.83/6.04 (mult(mult(b, mult(a, mult(a, mult(a, c)))), b) = mult(mult(mult(mult(a, b), c), a), mult(b, a))),
% 5.83/6.04 inference(transitivity,[status(thm)],[12404, 12401, 12330])).
% 5.83/6.04 tff(12412,plain,
% 5.83/6.04 ((mult(mult(b, mult(a, mult(a, mult(a, c)))), b) = mult(b, mult(b, mult(a, mult(a, mult(a, c)))))) <=> (mult(mult(mult(mult(a, b), c), a), mult(b, a)) = mult(mult(mult(mult(mult(a, b), c), a), b), a))),
% 5.83/6.04 inference(monotonicity,[status(thm)],[12411, 12410])).
% 5.83/6.04 tff(12413,plain,
% 5.83/6.04 ((mult(mult(b, mult(a, mult(a, mult(a, c)))), b) = mult(b, mult(b, mult(a, mult(a, mult(a, c)))))) <=> (mult(mult(mult(mult(mult(a, b), c), a), b), a) = mult(mult(mult(mult(a, b), c), a), mult(b, a)))),
% 5.83/6.04 inference(transitivity,[status(thm)],[12412, 7503])).
% 5.83/6.04 tff(12414,plain,
% 5.83/6.04 ((mult(mult(mult(mult(mult(a, b), c), a), b), a) = mult(mult(mult(mult(a, b), c), a), mult(b, a))) <=> (mult(mult(b, mult(a, mult(a, mult(a, c)))), b) = mult(b, mult(b, mult(a, mult(a, mult(a, c))))))),
% 5.83/6.04 inference(symmetry,[status(thm)],[12413])).
% 5.83/6.04 tff(12415,plain,
% 5.83/6.04 ((~(mult(mult(mult(mult(mult(a, b), c), a), b), a) = mult(mult(mult(mult(a, b), c), a), mult(b, a)))) <=> (~(mult(mult(b, mult(a, mult(a, mult(a, c)))), b) = mult(b, mult(b, mult(a, mult(a, mult(a, c)))))))),
% 5.83/6.04 inference(monotonicity,[status(thm)],[12414])).
% 5.83/6.04 tff(12416,plain,
% 5.83/6.04 (~(mult(mult(b, mult(a, mult(a, mult(a, c)))), b) = mult(b, mult(b, mult(a, mult(a, mult(a, c))))))),
% 5.83/6.04 inference(modus_ponens,[status(thm)],[12316, 12415])).
% 5.83/6.04 tff(12417,plain,
% 5.83/6.04 (((~(mult(mult(b, b), mult(a, mult(a, mult(a, c)))) = mult(b, mult(mult(a, mult(a, mult(a, c))), b)))) | (~(mult(mult(b, mult(a, mult(a, mult(a, c)))), b) = mult(b, mult(b, mult(a, mult(a, mult(a, c)))))))) | (mult(mult(b, mult(a, mult(a, mult(a, c)))), b) = mult(b, mult(b, mult(a, mult(a, mult(a, c))))))),
% 5.83/6.04 inference(tautology,[status(thm)],[])).
% 5.83/6.04 tff(12418,plain,
% 5.83/6.04 ((~(mult(mult(b, b), mult(a, mult(a, mult(a, c)))) = mult(b, mult(mult(a, mult(a, mult(a, c))), b)))) | (~(mult(mult(b, mult(a, mult(a, mult(a, c)))), b) = mult(b, mult(b, mult(a, mult(a, mult(a, c)))))))),
% 5.83/6.04 inference(unit_resolution,[status(thm)],[12417, 12416])).
% 5.83/6.04 tff(12419,plain,
% 5.83/6.04 (((~![X0: $i, X1: $i, X2: $i] : ((~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X2, X1)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X1, X2)))))) | (~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X1, X2)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X2, X1)))))))) | ((~((~(mult(mult(b, b), mult(a, mult(a, mult(a, c)))) = mult(b, mult(b, mult(a, mult(a, mult(a, c))))))) | (~(mult(mult(b, mult(a, mult(a, mult(a, c)))), b) = mult(b, mult(mult(a, mult(a, mult(a, c))), b)))))) | (~((~(mult(mult(b, b), mult(a, mult(a, mult(a, c)))) = mult(b, mult(mult(a, mult(a, mult(a, c))), b)))) | (~(mult(mult(b, mult(a, mult(a, mult(a, c)))), b) = mult(b, mult(b, mult(a, mult(a, mult(a, c))))))))))) <=> ((~![X0: $i, X1: $i, X2: $i] : ((~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X2, X1)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X1, X2)))))) | (~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X1, X2)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X2, X1)))))))) | (~((~(mult(mult(b, b), mult(a, mult(a, mult(a, c)))) = mult(b, mult(b, mult(a, mult(a, mult(a, c))))))) | (~(mult(mult(b, mult(a, mult(a, mult(a, c)))), b) = mult(b, mult(mult(a, mult(a, mult(a, c))), b)))))) | (~((~(mult(mult(b, b), mult(a, mult(a, mult(a, c)))) = mult(b, mult(mult(a, mult(a, mult(a, c))), b)))) | (~(mult(mult(b, mult(a, mult(a, mult(a, c)))), b) = mult(b, mult(b, mult(a, mult(a, mult(a, c))))))))))),
% 5.83/6.04 inference(rewrite,[status(thm)],[])).
% 5.83/6.04 tff(12420,plain,
% 5.83/6.04 (((~((~(mult(mult(b, b), mult(a, mult(a, mult(a, c)))) = mult(b, mult(mult(a, mult(a, mult(a, c))), b)))) | (~(mult(mult(b, mult(a, mult(a, mult(a, c)))), b) = mult(b, mult(b, mult(a, mult(a, mult(a, c))))))))) | (~((~(mult(mult(b, b), mult(a, mult(a, mult(a, c)))) = mult(b, mult(b, mult(a, mult(a, mult(a, c))))))) | (~(mult(mult(b, mult(a, mult(a, mult(a, c)))), b) = mult(b, mult(mult(a, mult(a, mult(a, c))), b))))))) <=> ((~((~(mult(mult(b, b), mult(a, mult(a, mult(a, c)))) = mult(b, mult(b, mult(a, mult(a, mult(a, c))))))) | (~(mult(mult(b, mult(a, mult(a, mult(a, c)))), b) = mult(b, mult(mult(a, mult(a, mult(a, c))), b)))))) | (~((~(mult(mult(b, b), mult(a, mult(a, mult(a, c)))) = mult(b, mult(mult(a, mult(a, mult(a, c))), b)))) | (~(mult(mult(b, mult(a, mult(a, mult(a, c)))), b) = mult(b, mult(b, mult(a, mult(a, mult(a, c))))))))))),
% 5.83/6.04 inference(rewrite,[status(thm)],[])).
% 5.83/6.04 tff(12421,plain,
% 5.83/6.05 (((~![X0: $i, X1: $i, X2: $i] : ((~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X2, X1)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X1, X2)))))) | (~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X1, X2)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X2, X1)))))))) | ((~((~(mult(mult(b, b), mult(a, mult(a, mult(a, c)))) = mult(b, mult(mult(a, mult(a, mult(a, c))), b)))) | (~(mult(mult(b, mult(a, mult(a, mult(a, c)))), b) = mult(b, mult(b, mult(a, mult(a, mult(a, c))))))))) | (~((~(mult(mult(b, b), mult(a, mult(a, mult(a, c)))) = mult(b, mult(b, mult(a, mult(a, mult(a, c))))))) | (~(mult(mult(b, mult(a, mult(a, mult(a, c)))), b) = mult(b, mult(mult(a, mult(a, mult(a, c))), b)))))))) <=> ((~![X0: $i, X1: $i, X2: $i] : ((~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X2, X1)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X1, X2)))))) | (~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X1, X2)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X2, X1)))))))) | ((~((~(mult(mult(b, b), mult(a, mult(a, mult(a, c)))) = mult(b, mult(b, mult(a, mult(a, mult(a, c))))))) | (~(mult(mult(b, mult(a, mult(a, mult(a, c)))), b) = mult(b, mult(mult(a, mult(a, mult(a, c))), b)))))) | (~((~(mult(mult(b, b), mult(a, mult(a, mult(a, c)))) = mult(b, mult(mult(a, mult(a, mult(a, c))), b)))) | (~(mult(mult(b, mult(a, mult(a, mult(a, c)))), b) = mult(b, mult(b, mult(a, mult(a, mult(a, c)))))))))))),
% 5.83/6.05 inference(monotonicity,[status(thm)],[12420])).
% 5.83/6.05 tff(12422,plain,
% 5.83/6.05 (((~![X0: $i, X1: $i, X2: $i] : ((~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X2, X1)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X1, X2)))))) | (~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X1, X2)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X2, X1)))))))) | ((~((~(mult(mult(b, b), mult(a, mult(a, mult(a, c)))) = mult(b, mult(mult(a, mult(a, mult(a, c))), b)))) | (~(mult(mult(b, mult(a, mult(a, mult(a, c)))), b) = mult(b, mult(b, mult(a, mult(a, mult(a, c))))))))) | (~((~(mult(mult(b, b), mult(a, mult(a, mult(a, c)))) = mult(b, mult(b, mult(a, mult(a, mult(a, c))))))) | (~(mult(mult(b, mult(a, mult(a, mult(a, c)))), b) = mult(b, mult(mult(a, mult(a, mult(a, c))), b)))))))) <=> ((~![X0: $i, X1: $i, X2: $i] : ((~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X2, X1)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X1, X2)))))) | (~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X1, X2)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X2, X1)))))))) | (~((~(mult(mult(b, b), mult(a, mult(a, mult(a, c)))) = mult(b, mult(b, mult(a, mult(a, mult(a, c))))))) | (~(mult(mult(b, mult(a, mult(a, mult(a, c)))), b) = mult(b, mult(mult(a, mult(a, mult(a, c))), b)))))) | (~((~(mult(mult(b, b), mult(a, mult(a, mult(a, c)))) = mult(b, mult(mult(a, mult(a, mult(a, c))), b)))) | (~(mult(mult(b, mult(a, mult(a, mult(a, c)))), b) = mult(b, mult(b, mult(a, mult(a, mult(a, c))))))))))),
% 5.83/6.05 inference(transitivity,[status(thm)],[12421, 12419])).
% 5.83/6.05 tff(12423,plain,
% 5.83/6.05 ((~![X0: $i, X1: $i, X2: $i] : ((~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X2, X1)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X1, X2)))))) | (~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X1, X2)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X2, X1)))))))) | ((~((~(mult(mult(b, b), mult(a, mult(a, mult(a, c)))) = mult(b, mult(mult(a, mult(a, mult(a, c))), b)))) | (~(mult(mult(b, mult(a, mult(a, mult(a, c)))), b) = mult(b, mult(b, mult(a, mult(a, mult(a, c))))))))) | (~((~(mult(mult(b, b), mult(a, mult(a, mult(a, c)))) = mult(b, mult(b, mult(a, mult(a, mult(a, c))))))) | (~(mult(mult(b, mult(a, mult(a, mult(a, c)))), b) = mult(b, mult(mult(a, mult(a, mult(a, c))), b)))))))),
% 5.83/6.05 inference(quant_inst,[status(thm)],[])).
% 5.83/6.05 tff(12424,plain,
% 5.83/6.05 ((~![X0: $i, X1: $i, X2: $i] : ((~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X2, X1)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X1, X2)))))) | (~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X1, X2)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X2, X1)))))))) | (~((~(mult(mult(b, b), mult(a, mult(a, mult(a, c)))) = mult(b, mult(b, mult(a, mult(a, mult(a, c))))))) | (~(mult(mult(b, mult(a, mult(a, mult(a, c)))), b) = mult(b, mult(mult(a, mult(a, mult(a, c))), b)))))) | (~((~(mult(mult(b, b), mult(a, mult(a, mult(a, c)))) = mult(b, mult(mult(a, mult(a, mult(a, c))), b)))) | (~(mult(mult(b, mult(a, mult(a, mult(a, c)))), b) = mult(b, mult(b, mult(a, mult(a, mult(a, c)))))))))),
% 5.83/6.05 inference(modus_ponens,[status(thm)],[12423, 12422])).
% 5.83/6.05 tff(12425,plain,
% 5.83/6.05 ((~((~(mult(mult(b, b), mult(a, mult(a, mult(a, c)))) = mult(b, mult(b, mult(a, mult(a, mult(a, c))))))) | (~(mult(mult(b, mult(a, mult(a, mult(a, c)))), b) = mult(b, mult(mult(a, mult(a, mult(a, c))), b)))))) | (~((~(mult(mult(b, b), mult(a, mult(a, mult(a, c)))) = mult(b, mult(mult(a, mult(a, mult(a, c))), b)))) | (~(mult(mult(b, mult(a, mult(a, mult(a, c)))), b) = mult(b, mult(b, mult(a, mult(a, mult(a, c)))))))))),
% 5.83/6.05 inference(unit_resolution,[status(thm)],[12424, 30])).
% 5.83/6.05 tff(12426,plain,
% 5.83/6.05 (~((~(mult(mult(b, b), mult(a, mult(a, mult(a, c)))) = mult(b, mult(b, mult(a, mult(a, mult(a, c))))))) | (~(mult(mult(b, mult(a, mult(a, mult(a, c)))), b) = mult(b, mult(mult(a, mult(a, mult(a, c))), b)))))),
% 5.83/6.05 inference(unit_resolution,[status(thm)],[12425, 12418])).
% 5.83/6.05 tff(12427,plain,
% 5.83/6.05 (((~(mult(mult(b, b), mult(a, mult(a, mult(a, c)))) = mult(b, mult(b, mult(a, mult(a, mult(a, c))))))) | (~(mult(mult(b, mult(a, mult(a, mult(a, c)))), b) = mult(b, mult(mult(a, mult(a, mult(a, c))), b))))) | (mult(mult(b, mult(a, mult(a, mult(a, c)))), b) = mult(b, mult(mult(a, mult(a, mult(a, c))), b)))),
% 5.83/6.05 inference(tautology,[status(thm)],[])).
% 5.83/6.05 tff(12428,plain,
% 5.83/6.05 (mult(mult(b, mult(a, mult(a, mult(a, c)))), b) = mult(b, mult(mult(a, mult(a, mult(a, c))), b))),
% 5.83/6.05 inference(unit_resolution,[status(thm)],[12427, 12426])).
% 5.83/6.05 tff(12429,plain,
% 5.83/6.05 (mult(b, mult(mult(a, mult(a, mult(a, c))), b)) = mult(mult(b, mult(a, mult(a, mult(a, c)))), b)),
% 5.83/6.05 inference(symmetry,[status(thm)],[12428])).
% 5.83/6.05 tff(12430,plain,
% 5.83/6.05 (mult(a, mult(mult(a, a), mult(c, b))) = mult(a, mult(a, mult(a, mult(c, b))))),
% 5.83/6.05 inference(monotonicity,[status(thm)],[8185])).
% 5.83/6.05 tff(12431,plain,
% 5.83/6.05 (mult(a, mult(a, mult(a, mult(c, b)))) = mult(a, mult(mult(a, a), mult(c, b)))),
% 5.83/6.05 inference(symmetry,[status(thm)],[12430])).
% 5.83/6.05 tff(12432,plain,
% 5.83/6.05 (mult(mult(a, mult(a, c)), b) = mult(a, mult(a, mult(c, b)))),
% 5.83/6.05 inference(transitivity,[status(thm)],[11028, 11077])).
% 5.83/6.05 tff(12433,plain,
% 5.83/6.05 (mult(a, mult(mult(a, mult(a, c)), b)) = mult(a, mult(a, mult(a, mult(c, b))))),
% 5.83/6.05 inference(monotonicity,[status(thm)],[12432])).
% 5.83/6.05 tff(12434,plain,
% 5.83/6.05 (mult(mult(a, mult(a, mult(a, c))), b) = mult(a, mult(mult(a, a), mult(c, b)))),
% 5.83/6.05 inference(transitivity,[status(thm)],[10727, 12433, 12431])).
% 5.83/6.05 tff(12435,plain,
% 5.83/6.05 (mult(b, mult(mult(a, mult(a, mult(a, c))), b)) = mult(b, mult(a, mult(mult(a, a), mult(c, b))))),
% 5.83/6.05 inference(monotonicity,[status(thm)],[12434])).
% 5.83/6.05 tff(12436,plain,
% 5.83/6.05 (mult(b, mult(a, mult(mult(a, a), mult(c, b)))) = mult(b, mult(mult(a, mult(a, mult(a, c))), b))),
% 5.83/6.05 inference(symmetry,[status(thm)],[12435])).
% 5.83/6.05 tff(12437,assumption,(mult(mult(mult(mult(a, a), b), a), c) = mult(mult(mult(a, a), b), mult(c, a))), introduced(assumption)).
% 5.83/6.05 tff(12438,plain,
% 5.83/6.05 (mult(mult(mult(mult(a, a), b), a), c) = mult(mult(a, mult(mult(a, b), a)), c)),
% 5.83/6.05 inference(monotonicity,[status(thm)],[10371])).
% 5.83/6.05 tff(12439,plain,
% 5.83/6.05 (mult(mult(a, mult(mult(a, b), a)), c) = mult(mult(mult(mult(a, a), b), a), c)),
% 5.83/6.05 inference(symmetry,[status(thm)],[12438])).
% 5.83/6.05 tff(12440,plain,
% 5.83/6.05 (mult(a, mult(a, mult(c, b))) = mult(mult(b, a), mult(a, c))),
% 5.83/6.05 inference(transitivity,[status(thm)],[8186, 11378, 12299, 11251])).
% 5.83/6.05 tff(12441,plain,
% 5.83/6.05 (mult(a, mult(a, mult(a, mult(c, b)))) = mult(a, mult(mult(b, a), mult(a, c)))),
% 5.83/6.05 inference(monotonicity,[status(thm)],[12440])).
% 5.83/6.05 tff(12442,plain,
% 5.83/6.05 (mult(a, mult(mult(a, a), mult(c, b))) = mult(mult(mult(a, a), b), mult(c, a))),
% 5.83/6.05 inference(transitivity,[status(thm)],[12430, 12441, 11306, 11015, 11017, 11097, 12183, 11969, 11099, 11959, 12439, 12437])).
% 5.83/6.05 tff(12443,plain,
% 5.83/6.05 (mult(b, mult(a, mult(mult(a, a), mult(c, b)))) = mult(b, mult(mult(mult(a, a), b), mult(c, a)))),
% 5.83/6.05 inference(monotonicity,[status(thm)],[12442])).
% 5.89/6.05 tff(12444,plain,
% 5.89/6.05 (mult(b, mult(mult(mult(a, a), b), mult(c, a))) = mult(b, mult(a, mult(mult(a, a), mult(c, b))))),
% 5.89/6.05 inference(symmetry,[status(thm)],[12443])).
% 5.89/6.05 tff(12445,plain,
% 5.89/6.05 (mult(mult(mult(b, mult(c, a)), a), a) = mult(mult(mult(b, a), mult(a, c)), a)),
% 5.89/6.05 inference(monotonicity,[status(thm)],[3533])).
% 5.89/6.05 tff(12446,plain,
% 5.89/6.05 (((~![X0: $i, X1: $i, X2: $i] : ((~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X2, X1)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X1, X2)))))) | (~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X1, X2)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X2, X1)))))))) | (mult(mult(mult(b, mult(c, a)), a), a) = mult(mult(b, mult(c, a)), mult(a, a)))) <=> ((~![X0: $i, X1: $i, X2: $i] : ((~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X2, X1)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X1, X2)))))) | (~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X1, X2)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X2, X1)))))))) | (mult(mult(mult(b, mult(c, a)), a), a) = mult(mult(b, mult(c, a)), mult(a, a))))),
% 5.89/6.05 inference(rewrite,[status(thm)],[])).
% 5.89/6.05 tff(12447,plain,
% 5.89/6.05 (((mult(mult(mult(b, mult(c, a)), a), a) = mult(mult(b, mult(c, a)), mult(a, a))) | (mult(mult(mult(b, mult(c, a)), a), a) = mult(mult(b, mult(c, a)), mult(a, a)))) <=> (mult(mult(mult(b, mult(c, a)), a), a) = mult(mult(b, mult(c, a)), mult(a, a)))),
% 5.89/6.05 inference(rewrite,[status(thm)],[])).
% 5.89/6.05 tff(12448,plain,
% 5.89/6.05 ((~(~(mult(mult(mult(b, mult(c, a)), a), a) = mult(mult(b, mult(c, a)), mult(a, a))))) <=> (mult(mult(mult(b, mult(c, a)), a), a) = mult(mult(b, mult(c, a)), mult(a, a)))),
% 5.89/6.05 inference(rewrite,[status(thm)],[])).
% 5.89/6.05 tff(12449,plain,
% 5.89/6.05 (((~(mult(mult(mult(b, mult(c, a)), a), a) = mult(mult(b, mult(c, a)), mult(a, a)))) | (~(mult(mult(mult(b, mult(c, a)), a), a) = mult(mult(b, mult(c, a)), mult(a, a))))) <=> (~(mult(mult(mult(b, mult(c, a)), a), a) = mult(mult(b, mult(c, a)), mult(a, a))))),
% 5.89/6.05 inference(rewrite,[status(thm)],[])).
% 5.89/6.05 tff(12450,plain,
% 5.89/6.05 ((~((~(mult(mult(mult(b, mult(c, a)), a), a) = mult(mult(b, mult(c, a)), mult(a, a)))) | (~(mult(mult(mult(b, mult(c, a)), a), a) = mult(mult(b, mult(c, a)), mult(a, a)))))) <=> (~(~(mult(mult(mult(b, mult(c, a)), a), a) = mult(mult(b, mult(c, a)), mult(a, a)))))),
% 5.89/6.05 inference(monotonicity,[status(thm)],[12449])).
% 5.89/6.05 tff(12451,plain,
% 5.89/6.05 ((~((~(mult(mult(mult(b, mult(c, a)), a), a) = mult(mult(b, mult(c, a)), mult(a, a)))) | (~(mult(mult(mult(b, mult(c, a)), a), a) = mult(mult(b, mult(c, a)), mult(a, a)))))) <=> (mult(mult(mult(b, mult(c, a)), a), a) = mult(mult(b, mult(c, a)), mult(a, a)))),
% 5.89/6.05 inference(transitivity,[status(thm)],[12450, 12448])).
% 5.89/6.05 tff(12452,plain,
% 5.89/6.05 (((~((~(mult(mult(mult(b, mult(c, a)), a), a) = mult(mult(b, mult(c, a)), mult(a, a)))) | (~(mult(mult(mult(b, mult(c, a)), a), a) = mult(mult(b, mult(c, a)), mult(a, a)))))) | (~((~(mult(mult(mult(b, mult(c, a)), a), a) = mult(mult(b, mult(c, a)), mult(a, a)))) | (~(mult(mult(mult(b, mult(c, a)), a), a) = mult(mult(b, mult(c, a)), mult(a, a))))))) <=> ((mult(mult(mult(b, mult(c, a)), a), a) = mult(mult(b, mult(c, a)), mult(a, a))) | (mult(mult(mult(b, mult(c, a)), a), a) = mult(mult(b, mult(c, a)), mult(a, a))))),
% 5.89/6.05 inference(monotonicity,[status(thm)],[12451, 12451])).
% 5.89/6.05 tff(12453,plain,
% 5.89/6.05 (((~((~(mult(mult(mult(b, mult(c, a)), a), a) = mult(mult(b, mult(c, a)), mult(a, a)))) | (~(mult(mult(mult(b, mult(c, a)), a), a) = mult(mult(b, mult(c, a)), mult(a, a)))))) | (~((~(mult(mult(mult(b, mult(c, a)), a), a) = mult(mult(b, mult(c, a)), mult(a, a)))) | (~(mult(mult(mult(b, mult(c, a)), a), a) = mult(mult(b, mult(c, a)), mult(a, a))))))) <=> (mult(mult(mult(b, mult(c, a)), a), a) = mult(mult(b, mult(c, a)), mult(a, a)))),
% 5.89/6.05 inference(transitivity,[status(thm)],[12452, 12447])).
% 5.89/6.05 tff(12454,plain,
% 5.89/6.05 (((~![X0: $i, X1: $i, X2: $i] : ((~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X2, X1)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X1, X2)))))) | (~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X1, X2)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X2, X1)))))))) | ((~((~(mult(mult(mult(b, mult(c, a)), a), a) = mult(mult(b, mult(c, a)), mult(a, a)))) | (~(mult(mult(mult(b, mult(c, a)), a), a) = mult(mult(b, mult(c, a)), mult(a, a)))))) | (~((~(mult(mult(mult(b, mult(c, a)), a), a) = mult(mult(b, mult(c, a)), mult(a, a)))) | (~(mult(mult(mult(b, mult(c, a)), a), a) = mult(mult(b, mult(c, a)), mult(a, a)))))))) <=> ((~![X0: $i, X1: $i, X2: $i] : ((~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X2, X1)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X1, X2)))))) | (~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X1, X2)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X2, X1)))))))) | (mult(mult(mult(b, mult(c, a)), a), a) = mult(mult(b, mult(c, a)), mult(a, a))))),
% 5.89/6.05 inference(monotonicity,[status(thm)],[12453])).
% 5.89/6.05 tff(12455,plain,
% 5.89/6.05 (((~![X0: $i, X1: $i, X2: $i] : ((~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X2, X1)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X1, X2)))))) | (~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X1, X2)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X2, X1)))))))) | ((~((~(mult(mult(mult(b, mult(c, a)), a), a) = mult(mult(b, mult(c, a)), mult(a, a)))) | (~(mult(mult(mult(b, mult(c, a)), a), a) = mult(mult(b, mult(c, a)), mult(a, a)))))) | (~((~(mult(mult(mult(b, mult(c, a)), a), a) = mult(mult(b, mult(c, a)), mult(a, a)))) | (~(mult(mult(mult(b, mult(c, a)), a), a) = mult(mult(b, mult(c, a)), mult(a, a)))))))) <=> ((~![X0: $i, X1: $i, X2: $i] : ((~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X2, X1)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X1, X2)))))) | (~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X1, X2)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X2, X1)))))))) | (mult(mult(mult(b, mult(c, a)), a), a) = mult(mult(b, mult(c, a)), mult(a, a))))),
% 5.89/6.05 inference(transitivity,[status(thm)],[12454, 12446])).
% 5.89/6.05 tff(12456,plain,
% 5.89/6.05 ((~![X0: $i, X1: $i, X2: $i] : ((~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X2, X1)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X1, X2)))))) | (~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X1, X2)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X2, X1)))))))) | ((~((~(mult(mult(mult(b, mult(c, a)), a), a) = mult(mult(b, mult(c, a)), mult(a, a)))) | (~(mult(mult(mult(b, mult(c, a)), a), a) = mult(mult(b, mult(c, a)), mult(a, a)))))) | (~((~(mult(mult(mult(b, mult(c, a)), a), a) = mult(mult(b, mult(c, a)), mult(a, a)))) | (~(mult(mult(mult(b, mult(c, a)), a), a) = mult(mult(b, mult(c, a)), mult(a, a)))))))),
% 5.89/6.05 inference(quant_inst,[status(thm)],[])).
% 5.89/6.05 tff(12457,plain,
% 5.89/6.05 ((~![X0: $i, X1: $i, X2: $i] : ((~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X2, X1)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X1, X2)))))) | (~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X1, X2)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X2, X1)))))))) | (mult(mult(mult(b, mult(c, a)), a), a) = mult(mult(b, mult(c, a)), mult(a, a)))),
% 5.89/6.05 inference(modus_ponens,[status(thm)],[12456, 12455])).
% 5.89/6.05 tff(12458,plain,
% 5.89/6.05 (mult(mult(mult(b, mult(c, a)), a), a) = mult(mult(b, mult(c, a)), mult(a, a))),
% 5.89/6.05 inference(unit_resolution,[status(thm)],[12457, 30])).
% 5.89/6.05 tff(12459,plain,
% 5.89/6.05 (mult(mult(b, mult(c, a)), mult(a, a)) = mult(mult(mult(b, mult(c, a)), a), a)),
% 5.89/6.05 inference(symmetry,[status(thm)],[12458])).
% 5.89/6.05 tff(12460,plain,
% 5.89/6.05 (ld(mult(b, a), mult(mult(b, a), mult(mult(b, a), mult(a, c)))) = ld(mult(b, a), mult(mult(b, a), mult(mult(a, a), mult(c, b))))),
% 5.89/6.05 inference(symmetry,[status(thm)],[12299])).
% 5.89/6.05 tff(12461,plain,
% 5.89/6.05 (mult(a, mult(b, mult(c, a))) = mult(a, mult(a, mult(c, b)))),
% 5.89/6.05 inference(transitivity,[status(thm)],[3682, 9223, 11988, 12187, 12181, 11270, 12460, 11377, 8185])).
% 5.89/6.05 tff(12462,plain,
% 5.89/6.05 (ld(a, mult(a, mult(b, mult(c, a)))) = ld(a, mult(a, mult(a, mult(c, b))))),
% 5.89/6.05 inference(monotonicity,[status(thm)],[12461])).
% 5.89/6.05 tff(12463,plain,
% 5.89/6.05 (ld(a, mult(a, mult(a, mult(c, b)))) = ld(a, mult(a, mult(b, mult(c, a))))),
% 5.89/6.05 inference(symmetry,[status(thm)],[12462])).
% 5.89/6.05 tff(12464,plain,
% 5.89/6.05 (mult(a, mult(c, b)) = mult(b, mult(c, a))),
% 5.89/6.05 inference(transitivity,[status(thm)],[803, 12463, 77])).
% 5.89/6.05 tff(12465,plain,
% 5.89/6.05 (mult(mult(a, mult(c, b)), mult(a, a)) = mult(mult(b, mult(c, a)), mult(a, a))),
% 5.89/6.05 inference(monotonicity,[status(thm)],[12464])).
% 5.89/6.06 tff(12466,plain,
% 5.89/6.06 (((~![X0: $i, X1: $i, X2: $i] : ((~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X2, X1)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X1, X2)))))) | (~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X1, X2)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X2, X1)))))))) | (mult(mult(mult(a, mult(c, b)), a), a) = mult(mult(a, mult(c, b)), mult(a, a)))) <=> ((~![X0: $i, X1: $i, X2: $i] : ((~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X2, X1)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X1, X2)))))) | (~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X1, X2)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X2, X1)))))))) | (mult(mult(mult(a, mult(c, b)), a), a) = mult(mult(a, mult(c, b)), mult(a, a))))),
% 5.89/6.06 inference(rewrite,[status(thm)],[])).
% 5.89/6.06 tff(12467,plain,
% 5.89/6.06 (((mult(mult(mult(a, mult(c, b)), a), a) = mult(mult(a, mult(c, b)), mult(a, a))) | (mult(mult(mult(a, mult(c, b)), a), a) = mult(mult(a, mult(c, b)), mult(a, a)))) <=> (mult(mult(mult(a, mult(c, b)), a), a) = mult(mult(a, mult(c, b)), mult(a, a)))),
% 5.89/6.06 inference(rewrite,[status(thm)],[])).
% 5.89/6.06 tff(12468,plain,
% 5.89/6.06 ((~(~(mult(mult(mult(a, mult(c, b)), a), a) = mult(mult(a, mult(c, b)), mult(a, a))))) <=> (mult(mult(mult(a, mult(c, b)), a), a) = mult(mult(a, mult(c, b)), mult(a, a)))),
% 5.89/6.06 inference(rewrite,[status(thm)],[])).
% 5.89/6.06 tff(12469,plain,
% 5.89/6.06 (((~(mult(mult(mult(a, mult(c, b)), a), a) = mult(mult(a, mult(c, b)), mult(a, a)))) | (~(mult(mult(mult(a, mult(c, b)), a), a) = mult(mult(a, mult(c, b)), mult(a, a))))) <=> (~(mult(mult(mult(a, mult(c, b)), a), a) = mult(mult(a, mult(c, b)), mult(a, a))))),
% 5.89/6.06 inference(rewrite,[status(thm)],[])).
% 5.89/6.06 tff(12470,plain,
% 5.89/6.06 ((~((~(mult(mult(mult(a, mult(c, b)), a), a) = mult(mult(a, mult(c, b)), mult(a, a)))) | (~(mult(mult(mult(a, mult(c, b)), a), a) = mult(mult(a, mult(c, b)), mult(a, a)))))) <=> (~(~(mult(mult(mult(a, mult(c, b)), a), a) = mult(mult(a, mult(c, b)), mult(a, a)))))),
% 5.89/6.06 inference(monotonicity,[status(thm)],[12469])).
% 5.89/6.06 tff(12471,plain,
% 5.89/6.06 ((~((~(mult(mult(mult(a, mult(c, b)), a), a) = mult(mult(a, mult(c, b)), mult(a, a)))) | (~(mult(mult(mult(a, mult(c, b)), a), a) = mult(mult(a, mult(c, b)), mult(a, a)))))) <=> (mult(mult(mult(a, mult(c, b)), a), a) = mult(mult(a, mult(c, b)), mult(a, a)))),
% 5.89/6.06 inference(transitivity,[status(thm)],[12470, 12468])).
% 5.89/6.06 tff(12472,plain,
% 5.89/6.06 (((~((~(mult(mult(mult(a, mult(c, b)), a), a) = mult(mult(a, mult(c, b)), mult(a, a)))) | (~(mult(mult(mult(a, mult(c, b)), a), a) = mult(mult(a, mult(c, b)), mult(a, a)))))) | (~((~(mult(mult(mult(a, mult(c, b)), a), a) = mult(mult(a, mult(c, b)), mult(a, a)))) | (~(mult(mult(mult(a, mult(c, b)), a), a) = mult(mult(a, mult(c, b)), mult(a, a))))))) <=> ((mult(mult(mult(a, mult(c, b)), a), a) = mult(mult(a, mult(c, b)), mult(a, a))) | (mult(mult(mult(a, mult(c, b)), a), a) = mult(mult(a, mult(c, b)), mult(a, a))))),
% 5.89/6.06 inference(monotonicity,[status(thm)],[12471, 12471])).
% 5.89/6.06 tff(12473,plain,
% 5.89/6.06 (((~((~(mult(mult(mult(a, mult(c, b)), a), a) = mult(mult(a, mult(c, b)), mult(a, a)))) | (~(mult(mult(mult(a, mult(c, b)), a), a) = mult(mult(a, mult(c, b)), mult(a, a)))))) | (~((~(mult(mult(mult(a, mult(c, b)), a), a) = mult(mult(a, mult(c, b)), mult(a, a)))) | (~(mult(mult(mult(a, mult(c, b)), a), a) = mult(mult(a, mult(c, b)), mult(a, a))))))) <=> (mult(mult(mult(a, mult(c, b)), a), a) = mult(mult(a, mult(c, b)), mult(a, a)))),
% 5.89/6.06 inference(transitivity,[status(thm)],[12472, 12467])).
% 5.89/6.06 tff(12474,plain,
% 5.89/6.06 (((~![X0: $i, X1: $i, X2: $i] : ((~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X2, X1)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X1, X2)))))) | (~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X1, X2)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X2, X1)))))))) | ((~((~(mult(mult(mult(a, mult(c, b)), a), a) = mult(mult(a, mult(c, b)), mult(a, a)))) | (~(mult(mult(mult(a, mult(c, b)), a), a) = mult(mult(a, mult(c, b)), mult(a, a)))))) | (~((~(mult(mult(mult(a, mult(c, b)), a), a) = mult(mult(a, mult(c, b)), mult(a, a)))) | (~(mult(mult(mult(a, mult(c, b)), a), a) = mult(mult(a, mult(c, b)), mult(a, a)))))))) <=> ((~![X0: $i, X1: $i, X2: $i] : ((~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X2, X1)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X1, X2)))))) | (~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X1, X2)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X2, X1)))))))) | (mult(mult(mult(a, mult(c, b)), a), a) = mult(mult(a, mult(c, b)), mult(a, a))))),
% 5.89/6.06 inference(monotonicity,[status(thm)],[12473])).
% 5.89/6.06 tff(12475,plain,
% 5.89/6.06 (((~![X0: $i, X1: $i, X2: $i] : ((~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X2, X1)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X1, X2)))))) | (~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X1, X2)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X2, X1)))))))) | ((~((~(mult(mult(mult(a, mult(c, b)), a), a) = mult(mult(a, mult(c, b)), mult(a, a)))) | (~(mult(mult(mult(a, mult(c, b)), a), a) = mult(mult(a, mult(c, b)), mult(a, a)))))) | (~((~(mult(mult(mult(a, mult(c, b)), a), a) = mult(mult(a, mult(c, b)), mult(a, a)))) | (~(mult(mult(mult(a, mult(c, b)), a), a) = mult(mult(a, mult(c, b)), mult(a, a)))))))) <=> ((~![X0: $i, X1: $i, X2: $i] : ((~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X2, X1)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X1, X2)))))) | (~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X1, X2)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X2, X1)))))))) | (mult(mult(mult(a, mult(c, b)), a), a) = mult(mult(a, mult(c, b)), mult(a, a))))),
% 5.89/6.06 inference(transitivity,[status(thm)],[12474, 12466])).
% 5.89/6.06 tff(12476,plain,
% 5.89/6.06 ((~![X0: $i, X1: $i, X2: $i] : ((~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X2, X1)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X1, X2)))))) | (~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X1, X2)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X2, X1)))))))) | ((~((~(mult(mult(mult(a, mult(c, b)), a), a) = mult(mult(a, mult(c, b)), mult(a, a)))) | (~(mult(mult(mult(a, mult(c, b)), a), a) = mult(mult(a, mult(c, b)), mult(a, a)))))) | (~((~(mult(mult(mult(a, mult(c, b)), a), a) = mult(mult(a, mult(c, b)), mult(a, a)))) | (~(mult(mult(mult(a, mult(c, b)), a), a) = mult(mult(a, mult(c, b)), mult(a, a)))))))),
% 5.89/6.06 inference(quant_inst,[status(thm)],[])).
% 5.89/6.06 tff(12477,plain,
% 5.89/6.06 ((~![X0: $i, X1: $i, X2: $i] : ((~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X2, X1)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X1, X2)))))) | (~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X1, X2)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X2, X1)))))))) | (mult(mult(mult(a, mult(c, b)), a), a) = mult(mult(a, mult(c, b)), mult(a, a)))),
% 5.89/6.06 inference(modus_ponens,[status(thm)],[12476, 12475])).
% 5.89/6.06 tff(12478,plain,
% 5.89/6.06 (mult(mult(mult(a, mult(c, b)), a), a) = mult(mult(a, mult(c, b)), mult(a, a))),
% 5.89/6.06 inference(unit_resolution,[status(thm)],[12477, 30])).
% 5.89/6.06 tff(12479,plain,
% 5.89/6.06 (mult(mult(a, c), mult(a, b)) = mult(mult(a, mult(c, b)), a)),
% 5.89/6.06 inference(transitivity,[status(thm)],[10729, 1414, 8206])).
% 5.89/6.06 tff(12480,plain,
% 5.89/6.06 (mult(mult(mult(a, c), mult(a, b)), a) = mult(mult(mult(a, mult(c, b)), a), a)),
% 5.89/6.06 inference(monotonicity,[status(thm)],[12479])).
% 5.89/6.06 tff(12481,assumption,(mult(mult(mult(a, c), mult(a, b)), a) = mult(mult(a, c), mult(a, mult(a, b)))), introduced(assumption)).
% 5.89/6.06 tff(12482,plain,
% 5.89/6.06 (mult(mult(a, c), mult(a, mult(a, b))) = mult(mult(mult(a, c), mult(a, b)), a)),
% 5.89/6.06 inference(symmetry,[status(thm)],[12481])).
% 5.89/6.06 tff(12483,plain,
% 5.89/6.06 (mult(mult(a, c), mult(mult(a, a), b)) = mult(mult(mult(a, a), b), mult(c, a))),
% 5.89/6.06 inference(transitivity,[status(thm)],[6018, 12482, 12480, 12478, 12465, 12459, 12445, 12191, 12183, 11969, 11099, 11959, 12439, 12437])).
% 5.89/6.06 tff(12484,plain,
% 5.89/6.06 (mult(b, mult(mult(a, c), mult(mult(a, a), b))) = mult(b, mult(mult(mult(a, a), b), mult(c, a)))),
% 5.89/6.06 inference(monotonicity,[status(thm)],[12483])).
% 5.89/6.06 tff(12485,plain,
% 5.89/6.06 (mult(mult(b, mult(mult(a, c), a)), mult(a, b)) = mult(b, mult(mult(a, b), mult(mult(a, c), a)))),
% 5.89/6.06 inference(unit_resolution,[status(thm)],[11530, 12272])).
% 5.89/6.06 tff(12486,plain,
% 5.89/6.06 (mult(b, mult(mult(a, b), mult(mult(a, c), a))) = mult(mult(b, mult(mult(a, c), a)), mult(a, b))),
% 5.89/6.06 inference(symmetry,[status(thm)],[12485])).
% 5.89/6.06 tff(12487,plain,
% 5.89/6.06 (mult(mult(mult(a, a), b), mult(c, a)) = mult(mult(mult(mult(a, a), b), a), c)),
% 5.89/6.06 inference(symmetry,[status(thm)],[12437])).
% 5.89/6.06 tff(12488,plain,
% 5.89/6.06 (mult(mult(mult(a, a), b), mult(c, a)) = mult(mult(mult(mult(a, b), a), c), a)),
% 5.89/6.06 inference(transitivity,[status(thm)],[12487, 12438, 10896, 11100, 12185, 12184])).
% 5.89/6.06 tff(12489,plain,
% 5.89/6.06 (mult(b, mult(mult(mult(a, a), b), mult(c, a))) = mult(b, mult(mult(mult(mult(a, b), a), c), a))),
% 5.89/6.06 inference(monotonicity,[status(thm)],[12488])).
% 5.89/6.06 tff(12490,plain,
% 5.89/6.06 (mult(b, mult(mult(a, c), mult(mult(a, a), b))) = mult(mult(b, mult(c, a)), mult(a, mult(b, a)))),
% 5.89/6.06 inference(transitivity,[status(thm)],[12484, 12489, 11581, 12486, 11585, 11390, 4201, 4198, 4196])).
% 5.89/6.06 tff(12491,plain,
% 5.89/6.06 (mult(mult(b, a), mult(b, mult(a, mult(a, c)))) = mult(mult(mult(b, a), mult(a, mult(a, c))), b)),
% 5.89/6.06 inference(symmetry,[status(thm)],[12332])).
% 5.89/6.06 tff(12492,plain,
% 5.89/6.06 (mult(mult(a, b), c) = mult(mult(b, c), a)),
% 5.89/6.06 inference(transitivity,[status(thm)],[11921, 12379, 11203])).
% 5.89/6.06 tff(12493,plain,
% 5.89/6.06 (mult(mult(mult(a, b), c), a) = mult(mult(mult(b, c), a), a)),
% 5.89/6.06 inference(monotonicity,[status(thm)],[12492])).
% 5.89/6.06 tff(12494,plain,
% 5.89/6.06 (mult(mult(a, b), mult(a, c)) = mult(b, mult(a, mult(a, c)))),
% 5.89/6.06 inference(transitivity,[status(thm)],[403, 12493, 8406, 5328])).
% 5.89/6.06 tff(12495,plain,
% 5.89/6.06 (mult(mult(b, a), mult(mult(a, b), mult(a, c))) = mult(mult(b, a), mult(b, mult(a, mult(a, c))))),
% 5.89/6.06 inference(monotonicity,[status(thm)],[12494])).
% 5.89/6.06 tff(12496,plain,
% 5.89/6.06 (mult(mult(b, a), mult(mult(a, b), mult(a, c))) = mult(mult(mult(b, mult(c, a)), a), mult(b, a))),
% 5.89/6.06 inference(transitivity,[status(thm)],[12495, 12491, 12334, 10947, 3535])).
% 5.89/6.06 tff(12497,plain,
% 5.89/6.06 (mult(mult(mult(b, a), mult(a, c)), mult(a, b)) = mult(mult(b, mult(c, a)), mult(a, mult(b, a)))),
% 5.89/6.06 inference(transitivity,[status(thm)],[11390, 4201, 4198, 4196])).
% 5.89/6.06 tff(12498,plain,
% 5.89/6.06 ((mult(mult(mult(b, a), mult(a, c)), mult(a, b)) = mult(mult(b, a), mult(mult(a, b), mult(a, c)))) <=> (mult(mult(b, mult(c, a)), mult(a, mult(b, a))) = mult(mult(mult(b, mult(c, a)), a), mult(b, a)))),
% 5.89/6.06 inference(monotonicity,[status(thm)],[12497, 12496])).
% 5.89/6.06 tff(12499,plain,
% 5.89/6.06 ((mult(mult(mult(b, a), mult(a, c)), mult(a, b)) = mult(mult(b, a), mult(mult(a, b), mult(a, c)))) <=> (mult(mult(mult(b, mult(c, a)), a), mult(b, a)) = mult(mult(b, mult(c, a)), mult(a, mult(b, a))))),
% 5.89/6.06 inference(transitivity,[status(thm)],[12498, 2])).
% 5.89/6.06 tff(12500,plain,
% 5.89/6.06 ((mult(mult(mult(b, mult(c, a)), a), mult(b, a)) = mult(mult(b, mult(c, a)), mult(a, mult(b, a)))) <=> (mult(mult(mult(b, a), mult(a, c)), mult(a, b)) = mult(mult(b, a), mult(mult(a, b), mult(a, c))))),
% 5.89/6.06 inference(symmetry,[status(thm)],[12499])).
% 5.89/6.06 tff(12501,plain,
% 5.89/6.06 ((~(mult(mult(mult(b, mult(c, a)), a), mult(b, a)) = mult(mult(b, mult(c, a)), mult(a, mult(b, a))))) <=> (~(mult(mult(mult(b, a), mult(a, c)), mult(a, b)) = mult(mult(b, a), mult(mult(a, b), mult(a, c)))))),
% 5.89/6.06 inference(monotonicity,[status(thm)],[12500])).
% 5.89/6.06 tff(12502,plain,
% 5.89/6.06 (~(mult(mult(mult(b, a), mult(a, c)), mult(a, b)) = mult(mult(b, a), mult(mult(a, b), mult(a, c))))),
% 5.89/6.06 inference(modus_ponens,[status(thm)],[10726, 12501])).
% 5.89/6.06 tff(12503,plain,
% 5.89/6.06 (((~(mult(mult(mult(b, a), mult(a, b)), mult(a, c)) = mult(mult(b, a), mult(mult(a, c), mult(a, b))))) | (~(mult(mult(mult(b, a), mult(a, c)), mult(a, b)) = mult(mult(b, a), mult(mult(a, b), mult(a, c)))))) | (mult(mult(mult(b, a), mult(a, c)), mult(a, b)) = mult(mult(b, a), mult(mult(a, b), mult(a, c))))),
% 5.89/6.06 inference(tautology,[status(thm)],[])).
% 5.89/6.06 tff(12504,plain,
% 5.89/6.06 ((~(mult(mult(mult(b, a), mult(a, b)), mult(a, c)) = mult(mult(b, a), mult(mult(a, c), mult(a, b))))) | (~(mult(mult(mult(b, a), mult(a, c)), mult(a, b)) = mult(mult(b, a), mult(mult(a, b), mult(a, c)))))),
% 5.89/6.06 inference(unit_resolution,[status(thm)],[12503, 12502])).
% 5.89/6.06 tff(12505,plain,
% 5.89/6.06 (((~![X0: $i, X1: $i, X2: $i] : ((~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X2, X1)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X1, X2)))))) | (~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X1, X2)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X2, X1)))))))) | ((~((~(mult(mult(mult(b, a), mult(a, b)), mult(a, c)) = mult(mult(b, a), mult(mult(a, c), mult(a, b))))) | (~(mult(mult(mult(b, a), mult(a, c)), mult(a, b)) = mult(mult(b, a), mult(mult(a, b), mult(a, c))))))) | (~((~(mult(mult(mult(b, a), mult(a, b)), mult(a, c)) = mult(mult(b, a), mult(mult(a, b), mult(a, c))))) | (~(mult(mult(mult(b, a), mult(a, c)), mult(a, b)) = mult(mult(b, a), mult(mult(a, c), mult(a, b))))))))) <=> ((~![X0: $i, X1: $i, X2: $i] : ((~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X2, X1)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X1, X2)))))) | (~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X1, X2)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X2, X1)))))))) | (~((~(mult(mult(mult(b, a), mult(a, b)), mult(a, c)) = mult(mult(b, a), mult(mult(a, c), mult(a, b))))) | (~(mult(mult(mult(b, a), mult(a, c)), mult(a, b)) = mult(mult(b, a), mult(mult(a, b), mult(a, c))))))) | (~((~(mult(mult(mult(b, a), mult(a, b)), mult(a, c)) = mult(mult(b, a), mult(mult(a, b), mult(a, c))))) | (~(mult(mult(mult(b, a), mult(a, c)), mult(a, b)) = mult(mult(b, a), mult(mult(a, c), mult(a, b))))))))),
% 5.89/6.06 inference(rewrite,[status(thm)],[])).
% 5.89/6.06 tff(12506,plain,
% 5.89/6.06 ((~![X0: $i, X1: $i, X2: $i] : ((~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X2, X1)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X1, X2)))))) | (~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X1, X2)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X2, X1)))))))) | ((~((~(mult(mult(mult(b, a), mult(a, b)), mult(a, c)) = mult(mult(b, a), mult(mult(a, c), mult(a, b))))) | (~(mult(mult(mult(b, a), mult(a, c)), mult(a, b)) = mult(mult(b, a), mult(mult(a, b), mult(a, c))))))) | (~((~(mult(mult(mult(b, a), mult(a, b)), mult(a, c)) = mult(mult(b, a), mult(mult(a, b), mult(a, c))))) | (~(mult(mult(mult(b, a), mult(a, c)), mult(a, b)) = mult(mult(b, a), mult(mult(a, c), mult(a, b))))))))),
% 5.89/6.06 inference(quant_inst,[status(thm)],[])).
% 5.89/6.06 tff(12507,plain,
% 5.89/6.06 ((~![X0: $i, X1: $i, X2: $i] : ((~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X2, X1)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X1, X2)))))) | (~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X1, X2)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X2, X1)))))))) | (~((~(mult(mult(mult(b, a), mult(a, b)), mult(a, c)) = mult(mult(b, a), mult(mult(a, c), mult(a, b))))) | (~(mult(mult(mult(b, a), mult(a, c)), mult(a, b)) = mult(mult(b, a), mult(mult(a, b), mult(a, c))))))) | (~((~(mult(mult(mult(b, a), mult(a, b)), mult(a, c)) = mult(mult(b, a), mult(mult(a, b), mult(a, c))))) | (~(mult(mult(mult(b, a), mult(a, c)), mult(a, b)) = mult(mult(b, a), mult(mult(a, c), mult(a, b)))))))),
% 5.89/6.06 inference(modus_ponens,[status(thm)],[12506, 12505])).
% 5.89/6.06 tff(12508,plain,
% 5.89/6.06 ((~((~(mult(mult(mult(b, a), mult(a, b)), mult(a, c)) = mult(mult(b, a), mult(mult(a, c), mult(a, b))))) | (~(mult(mult(mult(b, a), mult(a, c)), mult(a, b)) = mult(mult(b, a), mult(mult(a, b), mult(a, c))))))) | (~((~(mult(mult(mult(b, a), mult(a, b)), mult(a, c)) = mult(mult(b, a), mult(mult(a, b), mult(a, c))))) | (~(mult(mult(mult(b, a), mult(a, c)), mult(a, b)) = mult(mult(b, a), mult(mult(a, c), mult(a, b)))))))),
% 5.89/6.06 inference(unit_resolution,[status(thm)],[12507, 30])).
% 5.89/6.06 tff(12509,plain,
% 5.89/6.06 (~((~(mult(mult(mult(b, a), mult(a, b)), mult(a, c)) = mult(mult(b, a), mult(mult(a, b), mult(a, c))))) | (~(mult(mult(mult(b, a), mult(a, c)), mult(a, b)) = mult(mult(b, a), mult(mult(a, c), mult(a, b))))))),
% 5.89/6.06 inference(unit_resolution,[status(thm)],[12508, 12504])).
% 5.89/6.06 tff(12510,plain,
% 5.89/6.06 (((~(mult(mult(mult(b, a), mult(a, b)), mult(a, c)) = mult(mult(b, a), mult(mult(a, b), mult(a, c))))) | (~(mult(mult(mult(b, a), mult(a, c)), mult(a, b)) = mult(mult(b, a), mult(mult(a, c), mult(a, b)))))) | (mult(mult(mult(b, a), mult(a, b)), mult(a, c)) = mult(mult(b, a), mult(mult(a, b), mult(a, c))))),
% 5.89/6.06 inference(tautology,[status(thm)],[])).
% 5.89/6.06 tff(12511,plain,
% 5.89/6.06 (mult(mult(mult(b, a), mult(a, b)), mult(a, c)) = mult(mult(b, a), mult(mult(a, b), mult(a, c)))),
% 5.89/6.06 inference(unit_resolution,[status(thm)],[12510, 12509])).
% 5.89/6.06 tff(12512,plain,
% 5.89/6.06 (mult(mult(b, mult(a, a)), b) = mult(mult(mult(b, a), a), b)),
% 5.89/6.07 inference(symmetry,[status(thm)],[4603])).
% 5.89/6.07 tff(12513,plain,
% 5.89/6.07 (mult(b, mult(mult(a, a), b)) = ld(mult(c, a), mult(mult(c, a), mult(b, mult(mult(a, a), b))))),
% 5.89/6.07 inference(symmetry,[status(thm)],[10382])).
% 5.89/6.07 tff(12514,plain,
% 5.89/6.07 (mult(b, mult(mult(a, a), b)) = mult(mult(b, a), mult(a, b))),
% 5.89/6.07 inference(transitivity,[status(thm)],[12513, 10388, 4483, 12512, 12167])).
% 5.89/6.07 tff(12515,plain,
% 5.89/6.07 (mult(mult(b, mult(mult(a, a), b)), mult(a, c)) = mult(mult(mult(b, a), mult(a, b)), mult(a, c))),
% 5.89/6.07 inference(monotonicity,[status(thm)],[12514])).
% 5.89/6.07 tff(12516,plain,
% 5.89/6.07 (mult(mult(b, mult(mult(a, a), b)), mult(a, c)) = mult(mult(mult(b, mult(c, a)), a), mult(b, a))),
% 5.89/6.07 inference(transitivity,[status(thm)],[12515, 12511, 12495, 12491, 12334, 10947, 3535])).
% 5.89/6.07 tff(12517,plain,
% 5.89/6.07 ((mult(mult(b, mult(mult(a, a), b)), mult(a, c)) = mult(b, mult(mult(a, c), mult(mult(a, a), b)))) <=> (mult(mult(mult(b, mult(c, a)), a), mult(b, a)) = mult(mult(b, mult(c, a)), mult(a, mult(b, a))))),
% 5.89/6.07 inference(monotonicity,[status(thm)],[12516, 12490])).
% 5.89/6.07 tff(12518,plain,
% 5.89/6.07 ((mult(mult(mult(b, mult(c, a)), a), mult(b, a)) = mult(mult(b, mult(c, a)), mult(a, mult(b, a)))) <=> (mult(mult(b, mult(mult(a, a), b)), mult(a, c)) = mult(b, mult(mult(a, c), mult(mult(a, a), b))))),
% 5.89/6.07 inference(symmetry,[status(thm)],[12517])).
% 5.89/6.07 tff(12519,plain,
% 5.89/6.07 ((~(mult(mult(mult(b, mult(c, a)), a), mult(b, a)) = mult(mult(b, mult(c, a)), mult(a, mult(b, a))))) <=> (~(mult(mult(b, mult(mult(a, a), b)), mult(a, c)) = mult(b, mult(mult(a, c), mult(mult(a, a), b)))))),
% 5.89/6.07 inference(monotonicity,[status(thm)],[12518])).
% 5.89/6.07 tff(12520,plain,
% 5.89/6.07 (~(mult(mult(b, mult(mult(a, a), b)), mult(a, c)) = mult(b, mult(mult(a, c), mult(mult(a, a), b))))),
% 5.89/6.07 inference(modus_ponens,[status(thm)],[10726, 12519])).
% 5.89/6.07 tff(12521,plain,
% 5.89/6.07 (((~(mult(mult(b, mult(a, c)), mult(mult(a, a), b)) = mult(b, mult(mult(mult(a, a), b), mult(a, c))))) | (~(mult(mult(b, mult(mult(a, a), b)), mult(a, c)) = mult(b, mult(mult(a, c), mult(mult(a, a), b)))))) | (mult(mult(b, mult(mult(a, a), b)), mult(a, c)) = mult(b, mult(mult(a, c), mult(mult(a, a), b))))),
% 5.89/6.07 inference(tautology,[status(thm)],[])).
% 5.89/6.07 tff(12522,plain,
% 5.89/6.07 ((~(mult(mult(b, mult(a, c)), mult(mult(a, a), b)) = mult(b, mult(mult(mult(a, a), b), mult(a, c))))) | (~(mult(mult(b, mult(mult(a, a), b)), mult(a, c)) = mult(b, mult(mult(a, c), mult(mult(a, a), b)))))),
% 5.89/6.07 inference(unit_resolution,[status(thm)],[12521, 12520])).
% 5.89/6.07 tff(12523,plain,
% 5.89/6.07 (((~![X0: $i, X1: $i, X2: $i] : ((~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X2, X1)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X1, X2)))))) | (~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X1, X2)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X2, X1)))))))) | ((~((~(mult(mult(b, mult(a, c)), mult(mult(a, a), b)) = mult(b, mult(mult(mult(a, a), b), mult(a, c))))) | (~(mult(mult(b, mult(mult(a, a), b)), mult(a, c)) = mult(b, mult(mult(a, c), mult(mult(a, a), b))))))) | (~((~(mult(mult(b, mult(a, c)), mult(mult(a, a), b)) = mult(b, mult(mult(a, c), mult(mult(a, a), b))))) | (~(mult(mult(b, mult(mult(a, a), b)), mult(a, c)) = mult(b, mult(mult(mult(a, a), b), mult(a, c))))))))) <=> ((~![X0: $i, X1: $i, X2: $i] : ((~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X2, X1)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X1, X2)))))) | (~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X1, X2)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X2, X1)))))))) | (~((~(mult(mult(b, mult(a, c)), mult(mult(a, a), b)) = mult(b, mult(mult(mult(a, a), b), mult(a, c))))) | (~(mult(mult(b, mult(mult(a, a), b)), mult(a, c)) = mult(b, mult(mult(a, c), mult(mult(a, a), b))))))) | (~((~(mult(mult(b, mult(a, c)), mult(mult(a, a), b)) = mult(b, mult(mult(a, c), mult(mult(a, a), b))))) | (~(mult(mult(b, mult(mult(a, a), b)), mult(a, c)) = mult(b, mult(mult(mult(a, a), b), mult(a, c))))))))),
% 5.89/6.07 inference(rewrite,[status(thm)],[])).
% 5.89/6.07 tff(12524,plain,
% 5.89/6.07 (((~((~(mult(mult(b, mult(a, c)), mult(mult(a, a), b)) = mult(b, mult(mult(mult(a, a), b), mult(a, c))))) | (~(mult(mult(b, mult(mult(a, a), b)), mult(a, c)) = mult(b, mult(mult(a, c), mult(mult(a, a), b))))))) | (~((~(mult(mult(b, mult(a, c)), mult(mult(a, a), b)) = mult(b, mult(mult(a, c), mult(mult(a, a), b))))) | (~(mult(mult(b, mult(mult(a, a), b)), mult(a, c)) = mult(b, mult(mult(mult(a, a), b), mult(a, c)))))))) <=> ((~((~(mult(mult(b, mult(a, c)), mult(mult(a, a), b)) = mult(b, mult(mult(mult(a, a), b), mult(a, c))))) | (~(mult(mult(b, mult(mult(a, a), b)), mult(a, c)) = mult(b, mult(mult(a, c), mult(mult(a, a), b))))))) | (~((~(mult(mult(b, mult(a, c)), mult(mult(a, a), b)) = mult(b, mult(mult(a, c), mult(mult(a, a), b))))) | (~(mult(mult(b, mult(mult(a, a), b)), mult(a, c)) = mult(b, mult(mult(mult(a, a), b), mult(a, c))))))))),
% 5.89/6.07 inference(rewrite,[status(thm)],[])).
% 5.89/6.07 tff(12525,plain,
% 5.89/6.07 ((~((~(mult(mult(b, mult(mult(a, a), b)), mult(a, c)) = mult(b, mult(mult(mult(a, a), b), mult(a, c))))) | (~(mult(mult(b, mult(a, c)), mult(mult(a, a), b)) = mult(b, mult(mult(a, c), mult(mult(a, a), b))))))) <=> (~((~(mult(mult(b, mult(a, c)), mult(mult(a, a), b)) = mult(b, mult(mult(a, c), mult(mult(a, a), b))))) | (~(mult(mult(b, mult(mult(a, a), b)), mult(a, c)) = mult(b, mult(mult(mult(a, a), b), mult(a, c)))))))),
% 5.89/6.07 inference(rewrite,[status(thm)],[])).
% 5.89/6.07 tff(12526,plain,
% 5.89/6.07 ((~((~(mult(mult(b, mult(mult(a, a), b)), mult(a, c)) = mult(b, mult(mult(a, c), mult(mult(a, a), b))))) | (~(mult(mult(b, mult(a, c)), mult(mult(a, a), b)) = mult(b, mult(mult(mult(a, a), b), mult(a, c))))))) <=> (~((~(mult(mult(b, mult(a, c)), mult(mult(a, a), b)) = mult(b, mult(mult(mult(a, a), b), mult(a, c))))) | (~(mult(mult(b, mult(mult(a, a), b)), mult(a, c)) = mult(b, mult(mult(a, c), mult(mult(a, a), b)))))))),
% 5.89/6.07 inference(rewrite,[status(thm)],[])).
% 5.89/6.07 tff(12527,plain,
% 5.89/6.07 (((~((~(mult(mult(b, mult(mult(a, a), b)), mult(a, c)) = mult(b, mult(mult(a, c), mult(mult(a, a), b))))) | (~(mult(mult(b, mult(a, c)), mult(mult(a, a), b)) = mult(b, mult(mult(mult(a, a), b), mult(a, c))))))) | (~((~(mult(mult(b, mult(mult(a, a), b)), mult(a, c)) = mult(b, mult(mult(mult(a, a), b), mult(a, c))))) | (~(mult(mult(b, mult(a, c)), mult(mult(a, a), b)) = mult(b, mult(mult(a, c), mult(mult(a, a), b)))))))) <=> ((~((~(mult(mult(b, mult(a, c)), mult(mult(a, a), b)) = mult(b, mult(mult(mult(a, a), b), mult(a, c))))) | (~(mult(mult(b, mult(mult(a, a), b)), mult(a, c)) = mult(b, mult(mult(a, c), mult(mult(a, a), b))))))) | (~((~(mult(mult(b, mult(a, c)), mult(mult(a, a), b)) = mult(b, mult(mult(a, c), mult(mult(a, a), b))))) | (~(mult(mult(b, mult(mult(a, a), b)), mult(a, c)) = mult(b, mult(mult(mult(a, a), b), mult(a, c))))))))),
% 5.89/6.07 inference(monotonicity,[status(thm)],[12526, 12525])).
% 5.89/6.07 tff(12528,plain,
% 5.89/6.07 (((~((~(mult(mult(b, mult(mult(a, a), b)), mult(a, c)) = mult(b, mult(mult(a, c), mult(mult(a, a), b))))) | (~(mult(mult(b, mult(a, c)), mult(mult(a, a), b)) = mult(b, mult(mult(mult(a, a), b), mult(a, c))))))) | (~((~(mult(mult(b, mult(mult(a, a), b)), mult(a, c)) = mult(b, mult(mult(mult(a, a), b), mult(a, c))))) | (~(mult(mult(b, mult(a, c)), mult(mult(a, a), b)) = mult(b, mult(mult(a, c), mult(mult(a, a), b)))))))) <=> ((~((~(mult(mult(b, mult(a, c)), mult(mult(a, a), b)) = mult(b, mult(mult(mult(a, a), b), mult(a, c))))) | (~(mult(mult(b, mult(mult(a, a), b)), mult(a, c)) = mult(b, mult(mult(a, c), mult(mult(a, a), b))))))) | (~((~(mult(mult(b, mult(a, c)), mult(mult(a, a), b)) = mult(b, mult(mult(a, c), mult(mult(a, a), b))))) | (~(mult(mult(b, mult(mult(a, a), b)), mult(a, c)) = mult(b, mult(mult(mult(a, a), b), mult(a, c))))))))),
% 5.89/6.07 inference(transitivity,[status(thm)],[12527, 12524])).
% 5.89/6.07 tff(12529,plain,
% 5.89/6.07 (((~![X0: $i, X1: $i, X2: $i] : ((~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X2, X1)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X1, X2)))))) | (~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X1, X2)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X2, X1)))))))) | ((~((~(mult(mult(b, mult(mult(a, a), b)), mult(a, c)) = mult(b, mult(mult(a, c), mult(mult(a, a), b))))) | (~(mult(mult(b, mult(a, c)), mult(mult(a, a), b)) = mult(b, mult(mult(mult(a, a), b), mult(a, c))))))) | (~((~(mult(mult(b, mult(mult(a, a), b)), mult(a, c)) = mult(b, mult(mult(mult(a, a), b), mult(a, c))))) | (~(mult(mult(b, mult(a, c)), mult(mult(a, a), b)) = mult(b, mult(mult(a, c), mult(mult(a, a), b))))))))) <=> ((~![X0: $i, X1: $i, X2: $i] : ((~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X2, X1)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X1, X2)))))) | (~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X1, X2)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X2, X1)))))))) | ((~((~(mult(mult(b, mult(a, c)), mult(mult(a, a), b)) = mult(b, mult(mult(mult(a, a), b), mult(a, c))))) | (~(mult(mult(b, mult(mult(a, a), b)), mult(a, c)) = mult(b, mult(mult(a, c), mult(mult(a, a), b))))))) | (~((~(mult(mult(b, mult(a, c)), mult(mult(a, a), b)) = mult(b, mult(mult(a, c), mult(mult(a, a), b))))) | (~(mult(mult(b, mult(mult(a, a), b)), mult(a, c)) = mult(b, mult(mult(mult(a, a), b), mult(a, c)))))))))),
% 5.89/6.07 inference(monotonicity,[status(thm)],[12528])).
% 5.89/6.07 tff(12530,plain,
% 5.89/6.07 (((~![X0: $i, X1: $i, X2: $i] : ((~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X2, X1)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X1, X2)))))) | (~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X1, X2)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X2, X1)))))))) | ((~((~(mult(mult(b, mult(mult(a, a), b)), mult(a, c)) = mult(b, mult(mult(a, c), mult(mult(a, a), b))))) | (~(mult(mult(b, mult(a, c)), mult(mult(a, a), b)) = mult(b, mult(mult(mult(a, a), b), mult(a, c))))))) | (~((~(mult(mult(b, mult(mult(a, a), b)), mult(a, c)) = mult(b, mult(mult(mult(a, a), b), mult(a, c))))) | (~(mult(mult(b, mult(a, c)), mult(mult(a, a), b)) = mult(b, mult(mult(a, c), mult(mult(a, a), b))))))))) <=> ((~![X0: $i, X1: $i, X2: $i] : ((~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X2, X1)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X1, X2)))))) | (~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X1, X2)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X2, X1)))))))) | (~((~(mult(mult(b, mult(a, c)), mult(mult(a, a), b)) = mult(b, mult(mult(mult(a, a), b), mult(a, c))))) | (~(mult(mult(b, mult(mult(a, a), b)), mult(a, c)) = mult(b, mult(mult(a, c), mult(mult(a, a), b))))))) | (~((~(mult(mult(b, mult(a, c)), mult(mult(a, a), b)) = mult(b, mult(mult(a, c), mult(mult(a, a), b))))) | (~(mult(mult(b, mult(mult(a, a), b)), mult(a, c)) = mult(b, mult(mult(mult(a, a), b), mult(a, c))))))))),
% 5.89/6.07 inference(transitivity,[status(thm)],[12529, 12523])).
% 5.89/6.07 tff(12531,plain,
% 5.89/6.07 ((~![X0: $i, X1: $i, X2: $i] : ((~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X2, X1)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X1, X2)))))) | (~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X1, X2)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X2, X1)))))))) | ((~((~(mult(mult(b, mult(mult(a, a), b)), mult(a, c)) = mult(b, mult(mult(a, c), mult(mult(a, a), b))))) | (~(mult(mult(b, mult(a, c)), mult(mult(a, a), b)) = mult(b, mult(mult(mult(a, a), b), mult(a, c))))))) | (~((~(mult(mult(b, mult(mult(a, a), b)), mult(a, c)) = mult(b, mult(mult(mult(a, a), b), mult(a, c))))) | (~(mult(mult(b, mult(a, c)), mult(mult(a, a), b)) = mult(b, mult(mult(a, c), mult(mult(a, a), b))))))))),
% 5.89/6.07 inference(quant_inst,[status(thm)],[])).
% 5.89/6.07 tff(12532,plain,
% 5.89/6.07 ((~![X0: $i, X1: $i, X2: $i] : ((~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X2, X1)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X1, X2)))))) | (~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X1, X2)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X2, X1)))))))) | (~((~(mult(mult(b, mult(a, c)), mult(mult(a, a), b)) = mult(b, mult(mult(mult(a, a), b), mult(a, c))))) | (~(mult(mult(b, mult(mult(a, a), b)), mult(a, c)) = mult(b, mult(mult(a, c), mult(mult(a, a), b))))))) | (~((~(mult(mult(b, mult(a, c)), mult(mult(a, a), b)) = mult(b, mult(mult(a, c), mult(mult(a, a), b))))) | (~(mult(mult(b, mult(mult(a, a), b)), mult(a, c)) = mult(b, mult(mult(mult(a, a), b), mult(a, c)))))))),
% 5.89/6.07 inference(modus_ponens,[status(thm)],[12531, 12530])).
% 5.89/6.07 tff(12533,plain,
% 5.89/6.07 ((~((~(mult(mult(b, mult(a, c)), mult(mult(a, a), b)) = mult(b, mult(mult(mult(a, a), b), mult(a, c))))) | (~(mult(mult(b, mult(mult(a, a), b)), mult(a, c)) = mult(b, mult(mult(a, c), mult(mult(a, a), b))))))) | (~((~(mult(mult(b, mult(a, c)), mult(mult(a, a), b)) = mult(b, mult(mult(a, c), mult(mult(a, a), b))))) | (~(mult(mult(b, mult(mult(a, a), b)), mult(a, c)) = mult(b, mult(mult(mult(a, a), b), mult(a, c)))))))),
% 5.89/6.07 inference(unit_resolution,[status(thm)],[12532, 30])).
% 5.89/6.07 tff(12534,plain,
% 5.89/6.07 (~((~(mult(mult(b, mult(a, c)), mult(mult(a, a), b)) = mult(b, mult(mult(a, c), mult(mult(a, a), b))))) | (~(mult(mult(b, mult(mult(a, a), b)), mult(a, c)) = mult(b, mult(mult(mult(a, a), b), mult(a, c))))))),
% 5.89/6.07 inference(unit_resolution,[status(thm)],[12533, 12522])).
% 5.89/6.07 tff(12535,plain,
% 5.89/6.07 (((~(mult(mult(b, mult(a, c)), mult(mult(a, a), b)) = mult(b, mult(mult(a, c), mult(mult(a, a), b))))) | (~(mult(mult(b, mult(mult(a, a), b)), mult(a, c)) = mult(b, mult(mult(mult(a, a), b), mult(a, c)))))) | (mult(mult(b, mult(a, c)), mult(mult(a, a), b)) = mult(b, mult(mult(a, c), mult(mult(a, a), b))))),
% 5.89/6.07 inference(tautology,[status(thm)],[])).
% 5.89/6.07 tff(12536,plain,
% 5.89/6.07 (mult(mult(b, mult(a, c)), mult(mult(a, a), b)) = mult(b, mult(mult(a, c), mult(mult(a, a), b)))),
% 5.89/6.07 inference(unit_resolution,[status(thm)],[12535, 12534])).
% 5.89/6.07 tff(12537,plain,
% 5.89/6.07 (mult(mult(mult(b, c), a), mult(a, mult(a, b))) = mult(mult(b, mult(a, c)), mult(mult(a, a), b))),
% 5.89/6.07 inference(monotonicity,[status(thm)],[3433, 6193])).
% 5.89/6.07 tff(12538,plain,
% 5.89/6.07 (mult(mult(mult(a, b), c), a) = mult(mult(a, mult(b, c)), a)),
% 5.89/6.07 inference(symmetry,[status(thm)],[10660])).
% 5.89/6.07 tff(12539,plain,
% 5.89/6.07 (mult(mult(mult(b, c), a), a) = mult(mult(mult(a, b), c), a)),
% 5.89/6.07 inference(symmetry,[status(thm)],[12493])).
% 5.89/6.07 tff(12540,plain,
% 5.89/6.07 (mult(a, mult(mult(c, a), b)) = mult(a, mult(mult(b, c), a))),
% 5.89/6.07 inference(transitivity,[status(thm)],[11448, 12337, 11433, 5329, 8428, 12539, 12538, 10912])).
% 5.89/6.07 tff(12541,plain,
% 5.89/6.07 (ld(a, mult(a, mult(mult(c, a), b))) = ld(a, mult(a, mult(mult(b, c), a)))),
% 5.89/6.07 inference(monotonicity,[status(thm)],[12540])).
% 5.89/6.07 tff(12542,plain,
% 5.89/6.07 (mult(mult(c, a), b) = mult(mult(b, c), a)),
% 5.89/6.07 inference(transitivity,[status(thm)],[210, 12541, 4716])).
% 5.89/6.07 tff(12543,plain,
% 5.89/6.07 (mult(mult(mult(c, a), b), mult(mult(a, a), b)) = mult(mult(mult(b, c), a), mult(a, mult(a, b)))),
% 5.89/6.07 inference(monotonicity,[status(thm)],[12542, 4190])).
% 5.89/6.07 tff(12544,plain,
% 5.89/6.07 (mult(mult(mult(c, a), b), mult(mult(a, a), b)) = mult(mult(mult(a, b), c), mult(mult(b, a), a))),
% 5.89/6.07 inference(transitivity,[status(thm)],[12543, 12537, 12536, 12484, 12444, 12436, 12429, 12404, 12401, 12330, 12326])).
% 5.89/6.07 tff(12545,plain,
% 5.89/6.07 (mult(mult(c, a), b) = mult(mult(a, b), c)),
% 5.89/6.07 inference(transitivity,[status(thm)],[210, 12541, 4716, 11204, 12380, 11920])).
% 5.89/6.07 tff(12546,plain,
% 5.89/6.07 (ld(mult(mult(c, a), b), mult(mult(mult(c, a), b), mult(mult(a, a), b))) = ld(mult(mult(a, b), c), mult(mult(mult(a, b), c), mult(mult(b, a), a)))),
% 5.89/6.07 inference(monotonicity,[status(thm)],[12545, 12544])).
% 5.89/6.07 tff(12547,plain,
% 5.89/6.07 (ld(mult(mult(a, b), c), mult(mult(mult(a, b), c), mult(mult(b, a), a))) = ld(mult(mult(c, a), b), mult(mult(mult(c, a), b), mult(mult(a, a), b)))),
% 5.89/6.07 inference(symmetry,[status(thm)],[12546])).
% 5.89/6.07 tff(12548,plain,
% 5.89/6.07 ((~![B: $i, A: $i] : (ld(A, mult(A, B)) = B)) | (ld(mult(mult(a, b), c), mult(mult(mult(a, b), c), mult(mult(b, a), a))) = mult(mult(b, a), a))),
% 5.89/6.07 inference(quant_inst,[status(thm)],[])).
% 5.89/6.07 tff(12549,plain,
% 5.89/6.07 (ld(mult(mult(a, b), c), mult(mult(mult(a, b), c), mult(mult(b, a), a))) = mult(mult(b, a), a)),
% 5.89/6.07 inference(unit_resolution,[status(thm)],[12548, 9])).
% 5.89/6.07 tff(12550,plain,
% 5.89/6.07 (mult(mult(b, a), a) = ld(mult(mult(a, b), c), mult(mult(mult(a, b), c), mult(mult(b, a), a)))),
% 5.89/6.07 inference(symmetry,[status(thm)],[12549])).
% 5.89/6.07 tff(12551,plain,
% 5.89/6.07 (mult(mult(b, a), a) = mult(mult(a, a), b)),
% 5.89/6.07 inference(transitivity,[status(thm)],[12550, 12547, 9668])).
% 5.89/6.07 tff(12552,plain,
% 5.89/6.07 (mult(c, mult(mult(b, a), a)) = mult(c, mult(mult(a, a), b))),
% 5.89/6.07 inference(monotonicity,[status(thm)],[12551])).
% 5.89/6.07 tff(12553,plain,
% 5.89/6.07 (mult(c, mult(mult(a, a), b)) = mult(c, mult(mult(b, a), a))),
% 5.89/6.07 inference(symmetry,[status(thm)],[12552])).
% 5.89/6.07 tff(12554,plain,
% 5.89/6.07 (mult(c, mult(a, mult(a, b))) = mult(c, mult(mult(a, a), b))),
% 5.89/6.08 inference(symmetry,[status(thm)],[6006])).
% 5.89/6.08 tff(12555,plain,
% 5.89/6.08 (mult(a, mult(mult(c, b), a)) = mult(a, mult(b, mult(c, a)))),
% 5.89/6.08 inference(transitivity,[status(thm)],[8206, 12304, 12303, 11987, 9222, 754])).
% 5.89/6.08 tff(12556,plain,
% 5.89/6.08 (ld(a, mult(a, mult(mult(c, b), a))) = ld(a, mult(a, mult(b, mult(c, a))))),
% 5.89/6.08 inference(monotonicity,[status(thm)],[12555])).
% 5.89/6.08 tff(12557,plain,
% 5.89/6.08 (mult(c, mult(a, b)) = mult(a, mult(c, b))),
% 5.89/6.08 inference(transitivity,[status(thm)],[1111, 713, 12556, 12462, 802])).
% 5.89/6.08 tff(12558,plain,
% 5.89/6.08 (mult(mult(c, mult(a, b)), a) = mult(mult(a, mult(c, b)), a)),
% 5.89/6.08 inference(monotonicity,[status(thm)],[12557])).
% 5.89/6.08 tff(12559,plain,
% 5.89/6.08 (mult(mult(a, mult(c, b)), a) = mult(mult(c, mult(a, b)), a)),
% 5.89/6.08 inference(symmetry,[status(thm)],[12558])).
% 5.89/6.08 tff(12560,plain,
% 5.89/6.08 (mult(mult(mult(c, a), b), ld(mult(mult(b, c), a), mult(a, mult(a, c)))) = mult(mult(mult(b, c), a), ld(mult(mult(b, c), a), mult(a, mult(a, c))))),
% 5.89/6.08 inference(monotonicity,[status(thm)],[12542])).
% 5.89/6.08 tff(12561,plain,
% 5.89/6.08 (mult(mult(mult(c, a), b), ld(mult(mult(b, c), a), mult(a, mult(a, c)))) = mult(a, mult(a, c))),
% 5.89/6.08 inference(transitivity,[status(thm)],[12560, 8866])).
% 5.89/6.08 tff(12562,plain,
% 5.89/6.08 (mult(mult(mult(mult(c, a), b), ld(mult(mult(b, c), a), mult(a, mult(a, c)))), b) = mult(mult(a, mult(a, c)), b)),
% 5.89/6.08 inference(monotonicity,[status(thm)],[12561])).
% 5.89/6.08 tff(12563,plain,
% 5.89/6.08 ((~![C: $i, B: $i, A: $i] : (mult(mult(mult(A, B), C), B) = mult(A, mult(mult(B, C), B)))) | (mult(mult(mult(mult(c, a), b), ld(mult(mult(b, c), a), mult(a, mult(a, c)))), b) = mult(mult(c, a), mult(mult(b, ld(mult(mult(b, c), a), mult(a, mult(a, c)))), b)))),
% 5.89/6.08 inference(quant_inst,[status(thm)],[])).
% 5.89/6.08 tff(12564,plain,
% 5.89/6.08 (mult(mult(mult(mult(c, a), b), ld(mult(mult(b, c), a), mult(a, mult(a, c)))), b) = mult(mult(c, a), mult(mult(b, ld(mult(mult(b, c), a), mult(a, mult(a, c)))), b))),
% 5.89/6.08 inference(unit_resolution,[status(thm)],[12563, 860])).
% 5.89/6.08 tff(12565,plain,
% 5.89/6.08 (mult(mult(c, a), mult(mult(b, ld(mult(mult(b, c), a), mult(a, mult(a, c)))), b)) = mult(mult(mult(mult(c, a), b), ld(mult(mult(b, c), a), mult(a, mult(a, c)))), b)),
% 5.89/6.08 inference(symmetry,[status(thm)],[12564])).
% 5.89/6.08 tff(12566,plain,
% 5.89/6.08 (mult(mult(c, a), mult(mult(b, ld(mult(mult(b, c), a), mult(a, mult(a, c)))), b)) = mult(mult(c, a), mult(b, a))),
% 5.89/6.08 inference(transitivity,[status(thm)],[12565, 12562, 11028, 11077, 8186, 11378, 12299, 11251, 12189, 12188, 12305, 5407, 12559, 6056, 12554, 12553, 12308])).
% 5.89/6.08 tff(12567,plain,
% 5.89/6.08 (ld(mult(c, a), mult(mult(c, a), mult(mult(b, ld(mult(mult(b, c), a), mult(a, mult(a, c)))), b))) = ld(mult(c, a), mult(mult(c, a), mult(b, a)))),
% 5.89/6.08 inference(monotonicity,[status(thm)],[12566])).
% 5.89/6.08 tff(12568,plain,
% 5.89/6.08 ((~![B: $i, A: $i] : (ld(A, mult(A, B)) = B)) | (ld(mult(c, a), mult(mult(c, a), mult(mult(b, ld(mult(mult(b, c), a), mult(a, mult(a, c)))), b))) = mult(mult(b, ld(mult(mult(b, c), a), mult(a, mult(a, c)))), b))),
% 5.89/6.08 inference(quant_inst,[status(thm)],[])).
% 5.89/6.08 tff(12569,plain,
% 5.89/6.08 (ld(mult(c, a), mult(mult(c, a), mult(mult(b, ld(mult(mult(b, c), a), mult(a, mult(a, c)))), b))) = mult(mult(b, ld(mult(mult(b, c), a), mult(a, mult(a, c)))), b)),
% 5.89/6.08 inference(unit_resolution,[status(thm)],[12568, 9])).
% 5.89/6.08 tff(12570,plain,
% 5.89/6.08 (mult(mult(b, ld(mult(mult(b, c), a), mult(a, mult(a, c)))), b) = ld(mult(c, a), mult(mult(c, a), mult(mult(b, ld(mult(mult(b, c), a), mult(a, mult(a, c)))), b)))),
% 5.89/6.08 inference(symmetry,[status(thm)],[12569])).
% 5.89/6.08 tff(12571,plain,
% 5.89/6.08 (mult(mult(b, ld(mult(mult(b, c), a), mult(a, mult(a, c)))), b) = mult(b, a)),
% 5.89/6.08 inference(transitivity,[status(thm)],[12570, 12567, 9256])).
% 5.89/6.08 tff(12572,plain,
% 5.89/6.08 (mult(mult(mult(b, ld(mult(mult(b, c), a), mult(a, mult(a, c)))), b), mult(a, c)) = mult(mult(b, a), mult(a, c))),
% 5.89/6.08 inference(monotonicity,[status(thm)],[12571])).
% 5.89/6.08 tff(12573,plain,
% 5.89/6.08 (mult(mult(mult(mult(b, ld(mult(mult(b, c), a), mult(a, mult(a, c)))), b), mult(a, c)), b) = mult(mult(mult(b, a), mult(a, c)), b)),
% 5.89/6.08 inference(monotonicity,[status(thm)],[12572])).
% 5.89/6.08 tff(12574,plain,
% 5.89/6.08 ((~![C: $i, B: $i, A: $i] : (mult(mult(mult(A, B), C), B) = mult(A, mult(mult(B, C), B)))) | (mult(mult(mult(mult(b, ld(mult(mult(b, c), a), mult(a, mult(a, c)))), b), mult(a, c)), b) = mult(mult(b, ld(mult(mult(b, c), a), mult(a, mult(a, c)))), mult(mult(b, mult(a, c)), b)))),
% 5.89/6.08 inference(quant_inst,[status(thm)],[])).
% 5.89/6.08 tff(12575,plain,
% 5.89/6.08 (mult(mult(mult(mult(b, ld(mult(mult(b, c), a), mult(a, mult(a, c)))), b), mult(a, c)), b) = mult(mult(b, ld(mult(mult(b, c), a), mult(a, mult(a, c)))), mult(mult(b, mult(a, c)), b))),
% 5.89/6.08 inference(unit_resolution,[status(thm)],[12574, 860])).
% 5.89/6.08 tff(12576,plain,
% 5.89/6.08 (mult(mult(b, ld(mult(mult(b, c), a), mult(a, mult(a, c)))), mult(mult(b, mult(a, c)), b)) = mult(mult(mult(mult(b, ld(mult(mult(b, c), a), mult(a, mult(a, c)))), b), mult(a, c)), b)),
% 5.89/6.08 inference(symmetry,[status(thm)],[12575])).
% 5.89/6.08 tff(12577,plain,
% 5.89/6.08 (mult(mult(b, ld(mult(mult(b, c), a), mult(a, mult(a, c)))), mult(mult(mult(b, c), a), b)) = mult(mult(b, ld(mult(mult(b, c), a), mult(a, mult(a, c)))), mult(mult(b, mult(a, c)), b))),
% 5.89/6.08 inference(monotonicity,[status(thm)],[6140])).
% 5.89/6.08 tff(12578,plain,
% 5.89/6.08 (mult(mult(mult(mult(a, c), b), a), b) = mult(mult(mult(a, mult(c, b)), a), b)),
% 5.89/6.08 inference(monotonicity,[status(thm)],[9005])).
% 5.89/6.08 tff(12579,plain,
% 5.89/6.08 (mult(mult(mult(a, mult(c, b)), a), b) = mult(mult(mult(mult(a, c), b), a), b)),
% 5.89/6.08 inference(symmetry,[status(thm)],[12578])).
% 5.89/6.08 tff(12580,plain,
% 5.89/6.08 (mult(mult(b, ld(mult(mult(b, c), a), mult(a, mult(a, c)))), mult(mult(mult(b, c), a), b)) = mult(mult(a, c), mult(mult(b, a), b))),
% 5.89/6.08 inference(transitivity,[status(thm)],[12577, 12576, 12573, 12307, 12579, 3551])).
% 5.89/6.08 tff(12581,plain,
% 5.89/6.08 (mult(mult(mult(a, c), mult(b, a)), b) = mult(mult(a, mult(mult(c, a), b)), b)),
% 5.89/6.08 inference(monotonicity,[status(thm)],[11963])).
% 5.89/6.08 tff(12582,plain,
% 5.89/6.08 (mult(mult(a, mult(mult(c, a), b)), b) = mult(mult(mult(a, c), mult(b, a)), b)),
% 5.89/6.08 inference(symmetry,[status(thm)],[12581])).
% 5.89/6.08 tff(12583,plain,
% 5.89/6.08 (mult(mult(a, mult(mult(c, a), b)), b) = mult(mult(b, mult(a, mult(a, c))), b)),
% 5.89/6.08 inference(monotonicity,[status(thm)],[12338])).
% 5.89/6.08 tff(12584,plain,
% 5.89/6.08 (mult(mult(b, mult(a, mult(a, c))), b) = mult(mult(a, mult(mult(c, a), b)), b)),
% 5.89/6.08 inference(symmetry,[status(thm)],[12583])).
% 5.89/6.08 tff(12585,plain,
% 5.89/6.08 (mult(b, mult(a, mult(a, c))) = mult(mult(mult(a, b), c), a)),
% 5.89/6.08 inference(transitivity,[status(thm)],[5329, 8428, 12539])).
% 5.89/6.08 tff(12586,plain,
% 5.89/6.08 (mult(mult(b, mult(a, mult(a, c))), b) = mult(mult(mult(mult(a, b), c), a), b)),
% 5.89/6.08 inference(monotonicity,[status(thm)],[12585])).
% 5.89/6.08 tff(12587,plain,
% 5.89/6.08 (mult(mult(mult(mult(a, b), c), a), b) = mult(mult(b, mult(a, mult(a, c))), b)),
% 5.89/6.08 inference(symmetry,[status(thm)],[12586])).
% 5.89/6.08 tff(12588,plain,
% 5.89/6.08 (mult(mult(mult(b, a), mult(mult(c, a), b)), a) = mult(mult(a, mult(mult(mult(b, c), a), b)), a)),
% 5.89/6.08 inference(transitivity,[status(thm)],[12261, 11566, 12211, 7849, 12405, 7202])).
% 5.89/6.08 tff(12589,plain,
% 5.89/6.08 (rd(mult(mult(mult(b, a), mult(mult(c, a), b)), a), a) = rd(mult(mult(a, mult(mult(mult(b, c), a), b)), a), a)),
% 5.89/6.08 inference(monotonicity,[status(thm)],[12588])).
% 5.89/6.08 tff(12590,plain,
% 5.89/6.08 ((~![B: $i, A: $i] : (rd(mult(A, B), B) = A)) | (rd(mult(mult(mult(b, a), mult(mult(c, a), b)), a), a) = mult(mult(b, a), mult(mult(c, a), b)))),
% 5.89/6.08 inference(quant_inst,[status(thm)],[])).
% 5.89/6.08 tff(12591,plain,
% 5.89/6.08 (rd(mult(mult(mult(b, a), mult(mult(c, a), b)), a), a) = mult(mult(b, a), mult(mult(c, a), b))),
% 5.89/6.08 inference(unit_resolution,[status(thm)],[12590, 72])).
% 5.89/6.08 tff(12592,plain,
% 5.89/6.08 (mult(mult(b, a), mult(mult(c, a), b)) = rd(mult(mult(mult(b, a), mult(mult(c, a), b)), a), a)),
% 5.89/6.08 inference(symmetry,[status(thm)],[12591])).
% 5.89/6.08 tff(12593,plain,
% 5.89/6.08 (ld(a, mult(a, mult(mult(b, c), a))) = ld(a, mult(a, mult(mult(c, a), b)))),
% 5.89/6.08 inference(symmetry,[status(thm)],[12541])).
% 5.89/6.08 tff(12594,plain,
% 5.89/6.08 (mult(b, mult(a, c)) = mult(mult(c, a), b)),
% 5.89/6.08 inference(transitivity,[status(thm)],[5317, 5314, 12593, 209])).
% 5.89/6.08 tff(12595,plain,
% 5.89/6.08 (mult(mult(b, a), mult(b, mult(a, c))) = mult(mult(b, a), mult(mult(c, a), b))),
% 5.89/6.08 inference(monotonicity,[status(thm)],[12594])).
% 5.89/6.08 tff(12596,plain,
% 5.89/6.08 (mult(mult(mult(b, ld(mult(mult(b, c), a), mult(a, mult(a, c)))), b), mult(mult(b, c), a)) = mult(mult(b, a), mult(b, mult(a, c)))),
% 5.89/6.08 inference(monotonicity,[status(thm)],[12571, 3433])).
% 5.89/6.08 tff(12597,plain,
% 5.89/6.08 (mult(mult(mult(b, ld(mult(mult(b, c), a), mult(a, mult(a, c)))), b), mult(mult(b, c), a)) = mult(mult(mult(a, c), mult(b, a)), b)),
% 5.89/6.08 inference(transitivity,[status(thm)],[12596, 12595, 12592, 12589, 6157, 6141, 6138, 6135, 12587, 12584, 12582])).
% 5.89/6.08 tff(12598,plain,
% 5.89/6.08 ((mult(mult(mult(b, ld(mult(mult(b, c), a), mult(a, mult(a, c)))), b), mult(mult(b, c), a)) = mult(mult(b, ld(mult(mult(b, c), a), mult(a, mult(a, c)))), mult(mult(mult(b, c), a), b))) <=> (mult(mult(mult(a, c), mult(b, a)), b) = mult(mult(a, c), mult(mult(b, a), b)))),
% 5.89/6.08 inference(monotonicity,[status(thm)],[12597, 12580])).
% 5.89/6.08 tff(12599,plain,
% 5.89/6.08 ((mult(mult(mult(a, c), mult(b, a)), b) = mult(mult(a, c), mult(mult(b, a), b))) <=> (mult(mult(mult(b, ld(mult(mult(b, c), a), mult(a, mult(a, c)))), b), mult(mult(b, c), a)) = mult(mult(b, ld(mult(mult(b, c), a), mult(a, mult(a, c)))), mult(mult(mult(b, c), a), b)))),
% 5.89/6.08 inference(symmetry,[status(thm)],[12598])).
% 5.89/6.08 tff(12600,plain,
% 5.89/6.08 ((~(mult(mult(mult(a, c), mult(b, a)), b) = mult(mult(a, c), mult(mult(b, a), b)))) <=> (~(mult(mult(mult(b, ld(mult(mult(b, c), a), mult(a, mult(a, c)))), b), mult(mult(b, c), a)) = mult(mult(b, ld(mult(mult(b, c), a), mult(a, mult(a, c)))), mult(mult(mult(b, c), a), b))))),
% 5.89/6.08 inference(monotonicity,[status(thm)],[12599])).
% 5.89/6.08 tff(12601,plain,
% 5.89/6.08 (~(mult(mult(mult(b, ld(mult(mult(b, c), a), mult(a, mult(a, c)))), b), mult(mult(b, c), a)) = mult(mult(b, ld(mult(mult(b, c), a), mult(a, mult(a, c)))), mult(mult(mult(b, c), a), b)))),
% 5.89/6.08 inference(modus_ponens,[status(thm)],[3555, 12600])).
% 5.89/6.08 tff(12602,plain,
% 5.89/6.08 (((~(mult(mult(mult(b, ld(mult(mult(b, c), a), mult(a, mult(a, c)))), mult(mult(b, c), a)), b) = mult(mult(b, ld(mult(mult(b, c), a), mult(a, mult(a, c)))), mult(b, mult(mult(b, c), a))))) | (~(mult(mult(mult(b, ld(mult(mult(b, c), a), mult(a, mult(a, c)))), b), mult(mult(b, c), a)) = mult(mult(b, ld(mult(mult(b, c), a), mult(a, mult(a, c)))), mult(mult(mult(b, c), a), b))))) | (mult(mult(mult(b, ld(mult(mult(b, c), a), mult(a, mult(a, c)))), b), mult(mult(b, c), a)) = mult(mult(b, ld(mult(mult(b, c), a), mult(a, mult(a, c)))), mult(mult(mult(b, c), a), b)))),
% 5.89/6.08 inference(tautology,[status(thm)],[])).
% 5.89/6.08 tff(12603,plain,
% 5.89/6.08 ((~(mult(mult(mult(b, ld(mult(mult(b, c), a), mult(a, mult(a, c)))), mult(mult(b, c), a)), b) = mult(mult(b, ld(mult(mult(b, c), a), mult(a, mult(a, c)))), mult(b, mult(mult(b, c), a))))) | (~(mult(mult(mult(b, ld(mult(mult(b, c), a), mult(a, mult(a, c)))), b), mult(mult(b, c), a)) = mult(mult(b, ld(mult(mult(b, c), a), mult(a, mult(a, c)))), mult(mult(mult(b, c), a), b))))),
% 5.89/6.08 inference(unit_resolution,[status(thm)],[12602, 12601])).
% 5.89/6.08 tff(12604,plain,
% 5.89/6.08 (((~![X0: $i, X1: $i, X2: $i] : ((~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X2, X1)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X1, X2)))))) | (~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X1, X2)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X2, X1)))))))) | ((~((~(mult(mult(mult(b, ld(mult(mult(b, c), a), mult(a, mult(a, c)))), mult(mult(b, c), a)), b) = mult(mult(b, ld(mult(mult(b, c), a), mult(a, mult(a, c)))), mult(b, mult(mult(b, c), a))))) | (~(mult(mult(mult(b, ld(mult(mult(b, c), a), mult(a, mult(a, c)))), b), mult(mult(b, c), a)) = mult(mult(b, ld(mult(mult(b, c), a), mult(a, mult(a, c)))), mult(mult(mult(b, c), a), b)))))) | (~((~(mult(mult(mult(b, ld(mult(mult(b, c), a), mult(a, mult(a, c)))), mult(mult(b, c), a)), b) = mult(mult(b, ld(mult(mult(b, c), a), mult(a, mult(a, c)))), mult(mult(mult(b, c), a), b)))) | (~(mult(mult(mult(b, ld(mult(mult(b, c), a), mult(a, mult(a, c)))), b), mult(mult(b, c), a)) = mult(mult(b, ld(mult(mult(b, c), a), mult(a, mult(a, c)))), mult(b, mult(mult(b, c), a))))))))) <=> ((~![X0: $i, X1: $i, X2: $i] : ((~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X2, X1)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X1, X2)))))) | (~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X1, X2)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X2, X1)))))))) | (~((~(mult(mult(mult(b, ld(mult(mult(b, c), a), mult(a, mult(a, c)))), mult(mult(b, c), a)), b) = mult(mult(b, ld(mult(mult(b, c), a), mult(a, mult(a, c)))), mult(b, mult(mult(b, c), a))))) | (~(mult(mult(mult(b, ld(mult(mult(b, c), a), mult(a, mult(a, c)))), b), mult(mult(b, c), a)) = mult(mult(b, ld(mult(mult(b, c), a), mult(a, mult(a, c)))), mult(mult(mult(b, c), a), b)))))) | (~((~(mult(mult(mult(b, ld(mult(mult(b, c), a), mult(a, mult(a, c)))), mult(mult(b, c), a)), b) = mult(mult(b, ld(mult(mult(b, c), a), mult(a, mult(a, c)))), mult(mult(mult(b, c), a), b)))) | (~(mult(mult(mult(b, ld(mult(mult(b, c), a), mult(a, mult(a, c)))), b), mult(mult(b, c), a)) = mult(mult(b, ld(mult(mult(b, c), a), mult(a, mult(a, c)))), mult(b, mult(mult(b, c), a))))))))),
% 5.89/6.08 inference(rewrite,[status(thm)],[])).
% 5.89/6.08 tff(12605,plain,
% 5.89/6.08 ((~![X0: $i, X1: $i, X2: $i] : ((~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X2, X1)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X1, X2)))))) | (~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X1, X2)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X2, X1)))))))) | ((~((~(mult(mult(mult(b, ld(mult(mult(b, c), a), mult(a, mult(a, c)))), mult(mult(b, c), a)), b) = mult(mult(b, ld(mult(mult(b, c), a), mult(a, mult(a, c)))), mult(b, mult(mult(b, c), a))))) | (~(mult(mult(mult(b, ld(mult(mult(b, c), a), mult(a, mult(a, c)))), b), mult(mult(b, c), a)) = mult(mult(b, ld(mult(mult(b, c), a), mult(a, mult(a, c)))), mult(mult(mult(b, c), a), b)))))) | (~((~(mult(mult(mult(b, ld(mult(mult(b, c), a), mult(a, mult(a, c)))), mult(mult(b, c), a)), b) = mult(mult(b, ld(mult(mult(b, c), a), mult(a, mult(a, c)))), mult(mult(mult(b, c), a), b)))) | (~(mult(mult(mult(b, ld(mult(mult(b, c), a), mult(a, mult(a, c)))), b), mult(mult(b, c), a)) = mult(mult(b, ld(mult(mult(b, c), a), mult(a, mult(a, c)))), mult(b, mult(mult(b, c), a))))))))),
% 5.89/6.08 inference(quant_inst,[status(thm)],[])).
% 5.89/6.08 tff(12606,plain,
% 5.89/6.08 ((~![X0: $i, X1: $i, X2: $i] : ((~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X2, X1)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X1, X2)))))) | (~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X1, X2)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X2, X1)))))))) | (~((~(mult(mult(mult(b, ld(mult(mult(b, c), a), mult(a, mult(a, c)))), mult(mult(b, c), a)), b) = mult(mult(b, ld(mult(mult(b, c), a), mult(a, mult(a, c)))), mult(b, mult(mult(b, c), a))))) | (~(mult(mult(mult(b, ld(mult(mult(b, c), a), mult(a, mult(a, c)))), b), mult(mult(b, c), a)) = mult(mult(b, ld(mult(mult(b, c), a), mult(a, mult(a, c)))), mult(mult(mult(b, c), a), b)))))) | (~((~(mult(mult(mult(b, ld(mult(mult(b, c), a), mult(a, mult(a, c)))), mult(mult(b, c), a)), b) = mult(mult(b, ld(mult(mult(b, c), a), mult(a, mult(a, c)))), mult(mult(mult(b, c), a), b)))) | (~(mult(mult(mult(b, ld(mult(mult(b, c), a), mult(a, mult(a, c)))), b), mult(mult(b, c), a)) = mult(mult(b, ld(mult(mult(b, c), a), mult(a, mult(a, c)))), mult(b, mult(mult(b, c), a)))))))),
% 5.89/6.08 inference(modus_ponens,[status(thm)],[12605, 12604])).
% 5.89/6.08 tff(12607,plain,
% 5.89/6.08 ((~((~(mult(mult(mult(b, ld(mult(mult(b, c), a), mult(a, mult(a, c)))), mult(mult(b, c), a)), b) = mult(mult(b, ld(mult(mult(b, c), a), mult(a, mult(a, c)))), mult(b, mult(mult(b, c), a))))) | (~(mult(mult(mult(b, ld(mult(mult(b, c), a), mult(a, mult(a, c)))), b), mult(mult(b, c), a)) = mult(mult(b, ld(mult(mult(b, c), a), mult(a, mult(a, c)))), mult(mult(mult(b, c), a), b)))))) | (~((~(mult(mult(mult(b, ld(mult(mult(b, c), a), mult(a, mult(a, c)))), mult(mult(b, c), a)), b) = mult(mult(b, ld(mult(mult(b, c), a), mult(a, mult(a, c)))), mult(mult(mult(b, c), a), b)))) | (~(mult(mult(mult(b, ld(mult(mult(b, c), a), mult(a, mult(a, c)))), b), mult(mult(b, c), a)) = mult(mult(b, ld(mult(mult(b, c), a), mult(a, mult(a, c)))), mult(b, mult(mult(b, c), a)))))))),
% 5.89/6.08 inference(unit_resolution,[status(thm)],[12606, 30])).
% 5.89/6.08 tff(12608,plain,
% 5.89/6.08 (~((~(mult(mult(mult(b, ld(mult(mult(b, c), a), mult(a, mult(a, c)))), mult(mult(b, c), a)), b) = mult(mult(b, ld(mult(mult(b, c), a), mult(a, mult(a, c)))), mult(mult(mult(b, c), a), b)))) | (~(mult(mult(mult(b, ld(mult(mult(b, c), a), mult(a, mult(a, c)))), b), mult(mult(b, c), a)) = mult(mult(b, ld(mult(mult(b, c), a), mult(a, mult(a, c)))), mult(b, mult(mult(b, c), a))))))),
% 5.89/6.09 inference(unit_resolution,[status(thm)],[12607, 12603])).
% 5.89/6.09 tff(12609,plain,
% 5.89/6.09 (((~(mult(mult(mult(b, ld(mult(mult(b, c), a), mult(a, mult(a, c)))), mult(mult(b, c), a)), b) = mult(mult(b, ld(mult(mult(b, c), a), mult(a, mult(a, c)))), mult(mult(mult(b, c), a), b)))) | (~(mult(mult(mult(b, ld(mult(mult(b, c), a), mult(a, mult(a, c)))), b), mult(mult(b, c), a)) = mult(mult(b, ld(mult(mult(b, c), a), mult(a, mult(a, c)))), mult(b, mult(mult(b, c), a)))))) | (mult(mult(mult(b, ld(mult(mult(b, c), a), mult(a, mult(a, c)))), mult(mult(b, c), a)), b) = mult(mult(b, ld(mult(mult(b, c), a), mult(a, mult(a, c)))), mult(mult(mult(b, c), a), b)))),
% 5.89/6.09 inference(tautology,[status(thm)],[])).
% 5.89/6.09 tff(12610,plain,
% 5.89/6.09 (mult(mult(mult(b, ld(mult(mult(b, c), a), mult(a, mult(a, c)))), mult(mult(b, c), a)), b) = mult(mult(b, ld(mult(mult(b, c), a), mult(a, mult(a, c)))), mult(mult(mult(b, c), a), b))),
% 5.89/6.09 inference(unit_resolution,[status(thm)],[12609, 12608])).
% 5.89/6.09 tff(12611,plain,
% 5.89/6.09 (mult(mult(mult(b, ld(mult(mult(b, c), a), mult(a, mult(a, c)))), mult(mult(b, c), a)), b) = mult(mult(mult(a, mult(c, b)), a), b)),
% 5.89/6.09 inference(transitivity,[status(thm)],[12610, 12577, 12576, 12573, 12307])).
% 5.89/6.09 tff(12612,plain,
% 5.89/6.09 (rd(mult(mult(mult(b, ld(mult(mult(b, c), a), mult(a, mult(a, c)))), mult(mult(b, c), a)), b), b) = rd(mult(mult(mult(a, mult(c, b)), a), b), b)),
% 5.89/6.09 inference(monotonicity,[status(thm)],[12611])).
% 5.89/6.09 tff(12613,plain,
% 5.89/6.09 ((~![B: $i, A: $i] : (rd(mult(A, B), B) = A)) | (rd(mult(mult(mult(b, ld(mult(mult(b, c), a), mult(a, mult(a, c)))), mult(mult(b, c), a)), b), b) = mult(mult(b, ld(mult(mult(b, c), a), mult(a, mult(a, c)))), mult(mult(b, c), a)))),
% 5.89/6.09 inference(quant_inst,[status(thm)],[])).
% 5.89/6.09 tff(12614,plain,
% 5.89/6.09 (rd(mult(mult(mult(b, ld(mult(mult(b, c), a), mult(a, mult(a, c)))), mult(mult(b, c), a)), b), b) = mult(mult(b, ld(mult(mult(b, c), a), mult(a, mult(a, c)))), mult(mult(b, c), a))),
% 5.89/6.09 inference(unit_resolution,[status(thm)],[12613, 72])).
% 5.89/6.09 tff(12615,plain,
% 5.89/6.09 (mult(mult(b, ld(mult(mult(b, c), a), mult(a, mult(a, c)))), mult(mult(b, c), a)) = rd(mult(mult(mult(b, ld(mult(mult(b, c), a), mult(a, mult(a, c)))), mult(mult(b, c), a)), b), b)),
% 5.89/6.09 inference(symmetry,[status(thm)],[12614])).
% 5.89/6.09 tff(12616,plain,
% 5.89/6.09 (mult(mult(b, ld(mult(mult(b, c), a), mult(a, mult(a, c)))), mult(mult(b, c), a)) = mult(mult(b, a), mult(a, c))),
% 5.89/6.09 inference(transitivity,[status(thm)],[12615, 12612, 7847, 12304, 12303, 12187, 12181])).
% 5.89/6.09 tff(12617,plain,
% 5.89/6.09 ((mult(mult(b, ld(mult(mult(b, c), a), mult(a, mult(a, c)))), mult(mult(b, c), a)) = mult(b, mult(mult(mult(b, c), a), ld(mult(mult(b, c), a), mult(a, mult(a, c)))))) <=> (mult(mult(b, a), mult(a, c)) = mult(b, mult(a, mult(a, c))))),
% 5.89/6.09 inference(monotonicity,[status(thm)],[12616, 12179])).
% 5.89/6.09 tff(12618,plain,
% 5.89/6.09 ((mult(mult(b, a), mult(a, c)) = mult(b, mult(a, mult(a, c)))) <=> (mult(mult(b, ld(mult(mult(b, c), a), mult(a, mult(a, c)))), mult(mult(b, c), a)) = mult(b, mult(mult(mult(b, c), a), ld(mult(mult(b, c), a), mult(a, mult(a, c))))))),
% 5.89/6.09 inference(symmetry,[status(thm)],[12617])).
% 5.89/6.09 tff(12619,plain,
% 5.89/6.09 ((~(mult(mult(b, a), mult(a, c)) = mult(b, mult(a, mult(a, c))))) <=> (~(mult(mult(b, ld(mult(mult(b, c), a), mult(a, mult(a, c)))), mult(mult(b, c), a)) = mult(b, mult(mult(mult(b, c), a), ld(mult(mult(b, c), a), mult(a, mult(a, c)))))))),
% 5.89/6.09 inference(monotonicity,[status(thm)],[12618])).
% 5.89/6.09 tff(12620,plain,
% 5.89/6.09 (~(mult(mult(b, ld(mult(mult(b, c), a), mult(a, mult(a, c)))), mult(mult(b, c), a)) = mult(b, mult(mult(mult(b, c), a), ld(mult(mult(b, c), a), mult(a, mult(a, c))))))),
% 5.89/6.09 inference(modus_ponens,[status(thm)],[11319, 12619])).
% 5.89/6.09 tff(12621,plain,
% 5.89/6.09 (((~(mult(mult(b, mult(mult(b, c), a)), ld(mult(mult(b, c), a), mult(a, mult(a, c)))) = mult(b, mult(ld(mult(mult(b, c), a), mult(a, mult(a, c))), mult(mult(b, c), a))))) | (~(mult(mult(b, ld(mult(mult(b, c), a), mult(a, mult(a, c)))), mult(mult(b, c), a)) = mult(b, mult(mult(mult(b, c), a), ld(mult(mult(b, c), a), mult(a, mult(a, c)))))))) | (mult(mult(b, ld(mult(mult(b, c), a), mult(a, mult(a, c)))), mult(mult(b, c), a)) = mult(b, mult(mult(mult(b, c), a), ld(mult(mult(b, c), a), mult(a, mult(a, c))))))),
% 5.89/6.09 inference(tautology,[status(thm)],[])).
% 5.89/6.09 tff(12622,plain,
% 5.89/6.09 ((~(mult(mult(b, mult(mult(b, c), a)), ld(mult(mult(b, c), a), mult(a, mult(a, c)))) = mult(b, mult(ld(mult(mult(b, c), a), mult(a, mult(a, c))), mult(mult(b, c), a))))) | (~(mult(mult(b, ld(mult(mult(b, c), a), mult(a, mult(a, c)))), mult(mult(b, c), a)) = mult(b, mult(mult(mult(b, c), a), ld(mult(mult(b, c), a), mult(a, mult(a, c)))))))),
% 5.89/6.09 inference(unit_resolution,[status(thm)],[12621, 12620])).
% 5.89/6.09 tff(12623,plain,
% 5.89/6.09 (((~(mult(mult(mult(a, c), b), mult(b, a)) = mult(mult(a, c), mult(b, mult(b, a))))) | (~(mult(mult(mult(a, c), mult(b, a)), b) = mult(mult(a, c), mult(mult(b, a), b))))) | (mult(mult(mult(a, c), mult(b, a)), b) = mult(mult(a, c), mult(mult(b, a), b)))),
% 5.89/6.09 inference(tautology,[status(thm)],[])).
% 5.89/6.09 tff(12624,plain,
% 5.89/6.09 ((~(mult(mult(mult(a, c), b), mult(b, a)) = mult(mult(a, c), mult(b, mult(b, a))))) | (~(mult(mult(mult(a, c), mult(b, a)), b) = mult(mult(a, c), mult(mult(b, a), b))))),
% 5.89/6.09 inference(unit_resolution,[status(thm)],[12623, 3555])).
% 5.89/6.09 tff(12625,plain,
% 5.89/6.09 (~((~(mult(mult(mult(a, c), b), mult(b, a)) = mult(mult(a, c), mult(mult(b, a), b)))) | (~(mult(mult(mult(a, c), mult(b, a)), b) = mult(mult(a, c), mult(b, mult(b, a))))))),
% 5.89/6.09 inference(unit_resolution,[status(thm)],[8599, 12624])).
% 5.89/6.09 tff(12626,plain,
% 5.89/6.09 (mult(mult(mult(a, c), b), mult(b, a)) = mult(mult(a, c), mult(mult(b, a), b))),
% 5.89/6.09 inference(unit_resolution,[status(thm)],[8604, 12625])).
% 5.89/6.09 tff(12627,plain,
% 5.89/6.09 (mult(mult(a, mult(c, b)), mult(mult(b, ld(mult(mult(b, c), a), mult(a, mult(a, c)))), b)) = mult(mult(mult(a, c), b), mult(b, a))),
% 5.89/6.09 inference(monotonicity,[status(thm)],[9246, 12571])).
% 5.89/6.09 tff(12628,plain,
% 5.89/6.09 ((~![C: $i, B: $i, A: $i] : (mult(mult(mult(A, B), C), B) = mult(A, mult(mult(B, C), B)))) | (mult(mult(mult(mult(a, mult(c, b)), b), ld(mult(mult(b, c), a), mult(a, mult(a, c)))), b) = mult(mult(a, mult(c, b)), mult(mult(b, ld(mult(mult(b, c), a), mult(a, mult(a, c)))), b)))),
% 5.89/6.09 inference(quant_inst,[status(thm)],[])).
% 5.89/6.09 tff(12629,plain,
% 5.89/6.09 (mult(mult(mult(mult(a, mult(c, b)), b), ld(mult(mult(b, c), a), mult(a, mult(a, c)))), b) = mult(mult(a, mult(c, b)), mult(mult(b, ld(mult(mult(b, c), a), mult(a, mult(a, c)))), b))),
% 5.89/6.09 inference(unit_resolution,[status(thm)],[12628, 860])).
% 5.89/6.09 tff(12630,plain,
% 5.89/6.09 (mult(mult(mult(mult(a, mult(c, b)), b), ld(mult(mult(b, c), a), mult(a, mult(a, c)))), b) = mult(mult(mult(a, mult(c, b)), a), b)),
% 5.89/6.09 inference(transitivity,[status(thm)],[12629, 12627, 12626, 8508, 12578])).
% 5.89/6.09 tff(12631,plain,
% 5.89/6.09 (rd(mult(mult(mult(mult(a, mult(c, b)), b), ld(mult(mult(b, c), a), mult(a, mult(a, c)))), b), b) = rd(mult(mult(mult(a, mult(c, b)), a), b), b)),
% 5.89/6.09 inference(monotonicity,[status(thm)],[12630])).
% 5.89/6.09 tff(12632,plain,
% 5.89/6.09 ((~![B: $i, A: $i] : (rd(mult(A, B), B) = A)) | (rd(mult(mult(mult(mult(a, mult(c, b)), b), ld(mult(mult(b, c), a), mult(a, mult(a, c)))), b), b) = mult(mult(mult(a, mult(c, b)), b), ld(mult(mult(b, c), a), mult(a, mult(a, c)))))),
% 5.89/6.09 inference(quant_inst,[status(thm)],[])).
% 5.89/6.09 tff(12633,plain,
% 5.89/6.09 (rd(mult(mult(mult(mult(a, mult(c, b)), b), ld(mult(mult(b, c), a), mult(a, mult(a, c)))), b), b) = mult(mult(mult(a, mult(c, b)), b), ld(mult(mult(b, c), a), mult(a, mult(a, c))))),
% 5.89/6.09 inference(unit_resolution,[status(thm)],[12632, 72])).
% 5.89/6.09 tff(12634,plain,
% 5.89/6.09 (mult(mult(mult(a, mult(c, b)), b), ld(mult(mult(b, c), a), mult(a, mult(a, c)))) = rd(mult(mult(mult(mult(a, mult(c, b)), b), ld(mult(mult(b, c), a), mult(a, mult(a, c)))), b), b)),
% 5.89/6.09 inference(symmetry,[status(thm)],[12633])).
% 5.89/6.09 tff(12635,plain,
% 5.89/6.09 (mult(mult(a, mult(c, b)), b) = mult(mult(b, mult(c, a)), b)),
% 5.89/6.09 inference(monotonicity,[status(thm)],[12464])).
% 5.89/6.09 tff(12636,plain,
% 5.89/6.09 (mult(mult(b, mult(c, a)), b) = mult(mult(a, mult(c, b)), b)),
% 5.89/6.09 inference(symmetry,[status(thm)],[12635])).
% 5.89/6.09 tff(12637,plain,
% 5.89/6.09 ((~![B: $i, A: $i] : (ld(A, mult(A, B)) = B)) | (ld(mult(b, ld(mult(mult(b, c), a), mult(a, mult(a, c)))), mult(mult(b, ld(mult(mult(b, c), a), mult(a, mult(a, c)))), mult(mult(b, mult(c, a)), b))) = mult(mult(b, mult(c, a)), b))),
% 5.89/6.09 inference(quant_inst,[status(thm)],[])).
% 5.89/6.09 tff(12638,plain,
% 5.89/6.09 (ld(mult(b, ld(mult(mult(b, c), a), mult(a, mult(a, c)))), mult(mult(b, ld(mult(mult(b, c), a), mult(a, mult(a, c)))), mult(mult(b, mult(c, a)), b))) = mult(mult(b, mult(c, a)), b)),
% 5.89/6.09 inference(unit_resolution,[status(thm)],[12637, 9])).
% 5.89/6.09 tff(12639,plain,
% 5.89/6.09 ((~![C: $i, B: $i, A: $i] : (mult(mult(mult(A, B), C), B) = mult(A, mult(mult(B, C), B)))) | (mult(mult(mult(mult(b, ld(mult(mult(b, c), a), mult(a, mult(a, c)))), b), mult(c, a)), b) = mult(mult(b, ld(mult(mult(b, c), a), mult(a, mult(a, c)))), mult(mult(b, mult(c, a)), b)))),
% 5.89/6.09 inference(quant_inst,[status(thm)],[])).
% 5.89/6.09 tff(12640,plain,
% 5.89/6.09 (mult(mult(mult(mult(b, ld(mult(mult(b, c), a), mult(a, mult(a, c)))), b), mult(c, a)), b) = mult(mult(b, ld(mult(mult(b, c), a), mult(a, mult(a, c)))), mult(mult(b, mult(c, a)), b))),
% 5.89/6.09 inference(unit_resolution,[status(thm)],[12639, 860])).
% 5.89/6.09 tff(12641,plain,
% 5.89/6.09 (mult(a, mult(mult(a, b), c)) = mult(a, mult(mult(b, c), a))),
% 5.89/6.09 inference(monotonicity,[status(thm)],[12492])).
% 5.89/6.09 tff(12642,plain,
% 5.89/6.09 (mult(mult(mult(b, a), a), c) = mult(mult(mult(a, a), b), c)),
% 5.89/6.09 inference(monotonicity,[status(thm)],[12551])).
% 5.89/6.09 tff(12643,plain,
% 5.89/6.09 (mult(mult(mult(b, ld(mult(mult(b, c), a), mult(a, mult(a, c)))), b), mult(c, a)) = mult(mult(b, a), mult(c, a))),
% 5.89/6.09 inference(monotonicity,[status(thm)],[12571])).
% 5.89/6.09 tff(12644,plain,
% 5.89/6.09 (mult(mult(mult(b, ld(mult(mult(b, c), a), mult(a, mult(a, c)))), b), mult(c, a)) = mult(b, mult(a, mult(a, c)))),
% 5.89/6.09 inference(transitivity,[status(thm)],[12643, 8355, 12642, 5347, 256, 12641, 11403, 10660, 12493, 8406, 5328])).
% 5.89/6.09 tff(12645,plain,
% 5.89/6.09 (mult(mult(mult(mult(b, ld(mult(mult(b, c), a), mult(a, mult(a, c)))), b), mult(c, a)), b) = mult(mult(b, mult(a, mult(a, c))), b)),
% 5.89/6.09 inference(monotonicity,[status(thm)],[12644])).
% 5.89/6.09 tff(12646,plain,
% 5.89/6.09 (mult(mult(b, mult(a, mult(a, c))), b) = mult(mult(mult(mult(b, ld(mult(mult(b, c), a), mult(a, mult(a, c)))), b), mult(c, a)), b)),
% 5.89/6.09 inference(symmetry,[status(thm)],[12645])).
% 5.89/6.09 tff(12647,plain,
% 5.89/6.09 (((~(mult(mult(mult(b, ld(mult(mult(b, c), a), mult(a, mult(a, c)))), mult(mult(b, c), a)), b) = mult(mult(b, ld(mult(mult(b, c), a), mult(a, mult(a, c)))), mult(mult(mult(b, c), a), b)))) | (~(mult(mult(mult(b, ld(mult(mult(b, c), a), mult(a, mult(a, c)))), b), mult(mult(b, c), a)) = mult(mult(b, ld(mult(mult(b, c), a), mult(a, mult(a, c)))), mult(b, mult(mult(b, c), a)))))) | (mult(mult(mult(b, ld(mult(mult(b, c), a), mult(a, mult(a, c)))), b), mult(mult(b, c), a)) = mult(mult(b, ld(mult(mult(b, c), a), mult(a, mult(a, c)))), mult(b, mult(mult(b, c), a))))),
% 5.89/6.09 inference(tautology,[status(thm)],[])).
% 5.89/6.09 tff(12648,plain,
% 5.89/6.09 (mult(mult(mult(b, ld(mult(mult(b, c), a), mult(a, mult(a, c)))), b), mult(mult(b, c), a)) = mult(mult(b, ld(mult(mult(b, c), a), mult(a, mult(a, c)))), mult(b, mult(mult(b, c), a)))),
% 5.89/6.09 inference(unit_resolution,[status(thm)],[12647, 12608])).
% 5.89/6.09 tff(12649,plain,
% 5.89/6.09 (mult(mult(b, ld(mult(mult(b, c), a), mult(a, mult(a, c)))), mult(b, mult(mult(b, c), a))) = mult(mult(mult(b, ld(mult(mult(b, c), a), mult(a, mult(a, c)))), b), mult(mult(b, c), a))),
% 5.89/6.09 inference(symmetry,[status(thm)],[12648])).
% 5.89/6.09 tff(12650,plain,
% 5.89/6.09 (mult(mult(b, ld(mult(mult(b, c), a), mult(a, mult(a, c)))), mult(b, mult(mult(b, c), a))) = mult(mult(b, ld(mult(mult(b, c), a), mult(a, mult(a, c)))), mult(mult(b, mult(c, a)), b))),
% 5.89/6.09 inference(transitivity,[status(thm)],[12649, 12596, 12595, 12592, 12589, 6157, 6141, 6138, 6135, 12587, 12646, 12640])).
% 5.89/6.09 tff(12651,plain,
% 5.89/6.09 (ld(mult(b, ld(mult(mult(b, c), a), mult(a, mult(a, c)))), mult(mult(b, ld(mult(mult(b, c), a), mult(a, mult(a, c)))), mult(b, mult(mult(b, c), a)))) = ld(mult(b, ld(mult(mult(b, c), a), mult(a, mult(a, c)))), mult(mult(b, ld(mult(mult(b, c), a), mult(a, mult(a, c)))), mult(mult(b, mult(c, a)), b)))),
% 5.89/6.09 inference(monotonicity,[status(thm)],[12650])).
% 5.89/6.09 tff(12652,plain,
% 5.89/6.09 ((~![B: $i, A: $i] : (ld(A, mult(A, B)) = B)) | (ld(mult(b, ld(mult(mult(b, c), a), mult(a, mult(a, c)))), mult(mult(b, ld(mult(mult(b, c), a), mult(a, mult(a, c)))), mult(b, mult(mult(b, c), a)))) = mult(b, mult(mult(b, c), a)))),
% 5.89/6.09 inference(quant_inst,[status(thm)],[])).
% 5.89/6.09 tff(12653,plain,
% 5.89/6.09 (ld(mult(b, ld(mult(mult(b, c), a), mult(a, mult(a, c)))), mult(mult(b, ld(mult(mult(b, c), a), mult(a, mult(a, c)))), mult(b, mult(mult(b, c), a)))) = mult(b, mult(mult(b, c), a))),
% 5.89/6.09 inference(unit_resolution,[status(thm)],[12652, 9])).
% 5.89/6.09 tff(12654,plain,
% 5.89/6.09 (mult(b, mult(mult(b, c), a)) = ld(mult(b, ld(mult(mult(b, c), a), mult(a, mult(a, c)))), mult(mult(b, ld(mult(mult(b, c), a), mult(a, mult(a, c)))), mult(b, mult(mult(b, c), a))))),
% 5.89/6.09 inference(symmetry,[status(thm)],[12653])).
% 5.89/6.09 tff(12655,plain,
% 5.89/6.09 (mult(b, mult(mult(b, c), a)) = mult(mult(a, mult(c, b)), b)),
% 5.89/6.09 inference(transitivity,[status(thm)],[12654, 12651, 12638, 12636])).
% 5.89/6.09 tff(12656,plain,
% 5.89/6.09 (mult(mult(b, mult(mult(b, c), a)), ld(mult(mult(b, c), a), mult(a, mult(a, c)))) = mult(mult(mult(a, mult(c, b)), b), ld(mult(mult(b, c), a), mult(a, mult(a, c))))),
% 5.89/6.09 inference(monotonicity,[status(thm)],[12655])).
% 5.89/6.09 tff(12657,plain,
% 5.89/6.09 (mult(mult(b, mult(mult(b, c), a)), ld(mult(mult(b, c), a), mult(a, mult(a, c)))) = mult(mult(b, a), mult(a, c))),
% 5.89/6.09 inference(transitivity,[status(thm)],[12656, 12634, 12631, 7847, 12304, 12303, 12187, 12181])).
% 5.89/6.09 tff(12658,plain,
% 5.89/6.09 ((mult(mult(b, mult(mult(b, c), a)), ld(mult(mult(b, c), a), mult(a, mult(a, c)))) = mult(b, mult(mult(mult(b, c), a), ld(mult(mult(b, c), a), mult(a, mult(a, c)))))) <=> (mult(mult(b, a), mult(a, c)) = mult(b, mult(a, mult(a, c))))),
% 5.89/6.09 inference(monotonicity,[status(thm)],[12657, 12179])).
% 5.89/6.09 tff(12659,plain,
% 5.89/6.09 ((mult(mult(b, a), mult(a, c)) = mult(b, mult(a, mult(a, c)))) <=> (mult(mult(b, mult(mult(b, c), a)), ld(mult(mult(b, c), a), mult(a, mult(a, c)))) = mult(b, mult(mult(mult(b, c), a), ld(mult(mult(b, c), a), mult(a, mult(a, c))))))),
% 5.89/6.09 inference(symmetry,[status(thm)],[12658])).
% 5.89/6.09 tff(12660,plain,
% 5.89/6.09 ((~(mult(mult(b, a), mult(a, c)) = mult(b, mult(a, mult(a, c))))) <=> (~(mult(mult(b, mult(mult(b, c), a)), ld(mult(mult(b, c), a), mult(a, mult(a, c)))) = mult(b, mult(mult(mult(b, c), a), ld(mult(mult(b, c), a), mult(a, mult(a, c)))))))),
% 5.89/6.09 inference(monotonicity,[status(thm)],[12659])).
% 5.89/6.09 tff(12661,plain,
% 5.89/6.09 (~(mult(mult(b, mult(mult(b, c), a)), ld(mult(mult(b, c), a), mult(a, mult(a, c)))) = mult(b, mult(mult(mult(b, c), a), ld(mult(mult(b, c), a), mult(a, mult(a, c))))))),
% 5.89/6.09 inference(modus_ponens,[status(thm)],[11319, 12660])).
% 5.89/6.09 tff(12662,plain,
% 5.89/6.09 (((~(mult(mult(b, mult(mult(b, c), a)), ld(mult(mult(b, c), a), mult(a, mult(a, c)))) = mult(b, mult(mult(mult(b, c), a), ld(mult(mult(b, c), a), mult(a, mult(a, c))))))) | (~(mult(mult(b, ld(mult(mult(b, c), a), mult(a, mult(a, c)))), mult(mult(b, c), a)) = mult(b, mult(ld(mult(mult(b, c), a), mult(a, mult(a, c))), mult(mult(b, c), a)))))) | (mult(mult(b, mult(mult(b, c), a)), ld(mult(mult(b, c), a), mult(a, mult(a, c)))) = mult(b, mult(mult(mult(b, c), a), ld(mult(mult(b, c), a), mult(a, mult(a, c))))))),
% 5.89/6.09 inference(tautology,[status(thm)],[])).
% 5.89/6.09 tff(12663,plain,
% 5.89/6.09 ((~(mult(mult(b, mult(mult(b, c), a)), ld(mult(mult(b, c), a), mult(a, mult(a, c)))) = mult(b, mult(mult(mult(b, c), a), ld(mult(mult(b, c), a), mult(a, mult(a, c))))))) | (~(mult(mult(b, ld(mult(mult(b, c), a), mult(a, mult(a, c)))), mult(mult(b, c), a)) = mult(b, mult(ld(mult(mult(b, c), a), mult(a, mult(a, c))), mult(mult(b, c), a)))))),
% 5.89/6.09 inference(unit_resolution,[status(thm)],[12662, 12661])).
% 5.89/6.09 tff(12664,plain,
% 5.89/6.09 (((~![X0: $i, X1: $i, X2: $i] : ((~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X2, X1)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X1, X2)))))) | (~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X1, X2)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X2, X1)))))))) | ((~((~(mult(mult(b, mult(mult(b, c), a)), ld(mult(mult(b, c), a), mult(a, mult(a, c)))) = mult(b, mult(ld(mult(mult(b, c), a), mult(a, mult(a, c))), mult(mult(b, c), a))))) | (~(mult(mult(b, ld(mult(mult(b, c), a), mult(a, mult(a, c)))), mult(mult(b, c), a)) = mult(b, mult(mult(mult(b, c), a), ld(mult(mult(b, c), a), mult(a, mult(a, c))))))))) | (~((~(mult(mult(b, mult(mult(b, c), a)), ld(mult(mult(b, c), a), mult(a, mult(a, c)))) = mult(b, mult(mult(mult(b, c), a), ld(mult(mult(b, c), a), mult(a, mult(a, c))))))) | (~(mult(mult(b, ld(mult(mult(b, c), a), mult(a, mult(a, c)))), mult(mult(b, c), a)) = mult(b, mult(ld(mult(mult(b, c), a), mult(a, mult(a, c))), mult(mult(b, c), a))))))))) <=> ((~![X0: $i, X1: $i, X2: $i] : ((~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X2, X1)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X1, X2)))))) | (~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X1, X2)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X2, X1)))))))) | (~((~(mult(mult(b, mult(mult(b, c), a)), ld(mult(mult(b, c), a), mult(a, mult(a, c)))) = mult(b, mult(ld(mult(mult(b, c), a), mult(a, mult(a, c))), mult(mult(b, c), a))))) | (~(mult(mult(b, ld(mult(mult(b, c), a), mult(a, mult(a, c)))), mult(mult(b, c), a)) = mult(b, mult(mult(mult(b, c), a), ld(mult(mult(b, c), a), mult(a, mult(a, c))))))))) | (~((~(mult(mult(b, mult(mult(b, c), a)), ld(mult(mult(b, c), a), mult(a, mult(a, c)))) = mult(b, mult(mult(mult(b, c), a), ld(mult(mult(b, c), a), mult(a, mult(a, c))))))) | (~(mult(mult(b, ld(mult(mult(b, c), a), mult(a, mult(a, c)))), mult(mult(b, c), a)) = mult(b, mult(ld(mult(mult(b, c), a), mult(a, mult(a, c))), mult(mult(b, c), a))))))))),
% 5.89/6.10 inference(rewrite,[status(thm)],[])).
% 5.89/6.10 tff(12665,plain,
% 5.89/6.10 ((~![X0: $i, X1: $i, X2: $i] : ((~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X2, X1)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X1, X2)))))) | (~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X1, X2)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X2, X1)))))))) | ((~((~(mult(mult(b, mult(mult(b, c), a)), ld(mult(mult(b, c), a), mult(a, mult(a, c)))) = mult(b, mult(ld(mult(mult(b, c), a), mult(a, mult(a, c))), mult(mult(b, c), a))))) | (~(mult(mult(b, ld(mult(mult(b, c), a), mult(a, mult(a, c)))), mult(mult(b, c), a)) = mult(b, mult(mult(mult(b, c), a), ld(mult(mult(b, c), a), mult(a, mult(a, c))))))))) | (~((~(mult(mult(b, mult(mult(b, c), a)), ld(mult(mult(b, c), a), mult(a, mult(a, c)))) = mult(b, mult(mult(mult(b, c), a), ld(mult(mult(b, c), a), mult(a, mult(a, c))))))) | (~(mult(mult(b, ld(mult(mult(b, c), a), mult(a, mult(a, c)))), mult(mult(b, c), a)) = mult(b, mult(ld(mult(mult(b, c), a), mult(a, mult(a, c))), mult(mult(b, c), a))))))))),
% 5.89/6.10 inference(quant_inst,[status(thm)],[])).
% 5.89/6.10 tff(12666,plain,
% 5.89/6.10 ((~![X0: $i, X1: $i, X2: $i] : ((~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X2, X1)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X1, X2)))))) | (~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X1, X2)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X2, X1)))))))) | (~((~(mult(mult(b, mult(mult(b, c), a)), ld(mult(mult(b, c), a), mult(a, mult(a, c)))) = mult(b, mult(ld(mult(mult(b, c), a), mult(a, mult(a, c))), mult(mult(b, c), a))))) | (~(mult(mult(b, ld(mult(mult(b, c), a), mult(a, mult(a, c)))), mult(mult(b, c), a)) = mult(b, mult(mult(mult(b, c), a), ld(mult(mult(b, c), a), mult(a, mult(a, c))))))))) | (~((~(mult(mult(b, mult(mult(b, c), a)), ld(mult(mult(b, c), a), mult(a, mult(a, c)))) = mult(b, mult(mult(mult(b, c), a), ld(mult(mult(b, c), a), mult(a, mult(a, c))))))) | (~(mult(mult(b, ld(mult(mult(b, c), a), mult(a, mult(a, c)))), mult(mult(b, c), a)) = mult(b, mult(ld(mult(mult(b, c), a), mult(a, mult(a, c))), mult(mult(b, c), a)))))))),
% 5.89/6.10 inference(modus_ponens,[status(thm)],[12665, 12664])).
% 5.89/6.10 tff(12667,plain,
% 5.89/6.10 ((~((~(mult(mult(b, mult(mult(b, c), a)), ld(mult(mult(b, c), a), mult(a, mult(a, c)))) = mult(b, mult(ld(mult(mult(b, c), a), mult(a, mult(a, c))), mult(mult(b, c), a))))) | (~(mult(mult(b, ld(mult(mult(b, c), a), mult(a, mult(a, c)))), mult(mult(b, c), a)) = mult(b, mult(mult(mult(b, c), a), ld(mult(mult(b, c), a), mult(a, mult(a, c))))))))) | (~((~(mult(mult(b, mult(mult(b, c), a)), ld(mult(mult(b, c), a), mult(a, mult(a, c)))) = mult(b, mult(mult(mult(b, c), a), ld(mult(mult(b, c), a), mult(a, mult(a, c))))))) | (~(mult(mult(b, ld(mult(mult(b, c), a), mult(a, mult(a, c)))), mult(mult(b, c), a)) = mult(b, mult(ld(mult(mult(b, c), a), mult(a, mult(a, c))), mult(mult(b, c), a)))))))),
% 5.89/6.10 inference(unit_resolution,[status(thm)],[12666, 30])).
% 5.89/6.10 tff(12668,plain,
% 5.89/6.10 ($false),
% 5.89/6.10 inference(unit_resolution,[status(thm)],[12667, 12663, 12622])).
% 5.89/6.10 tff(12669,plain,((mult(mult(mult(b, a), c), mult(mult(a, b), a)) = mult(mult(b, a), mult(c, mult(mult(a, b), a)))) | (~(mult(mult(a, mult(b, a)), mult(a, c)) = mult(a, mult(mult(b, a), mult(a, c))))) | (~(mult(mult(mult(a, b), a), mult(a, c)) = mult(mult(a, b), mult(mult(a, c), a)))) | (~(mult(mult(a, mult(b, mult(c, a))), a) = mult(a, mult(a, mult(b, mult(c, a)))))) | (~(mult(mult(a, b), mult(c, a)) = mult(a, mult(b, mult(c, a))))) | (~(mult(mult(mult(b, a), b), a) = mult(mult(b, a), mult(b, a)))) | (~(mult(mult(c, a), mult(b, a)) = mult(c, mult(mult(b, a), a)))) | (~(mult(mult(c, mult(a, b)), a) = mult(c, mult(a, mult(a, b))))) | (~(mult(mult(c, a), b) = mult(c, mult(b, a)))) | (~(mult(mult(mult(a, c), a), mult(a, b)) = mult(mult(a, c), mult(mult(a, b), a)))) | (~(mult(mult(mult(mult(mult(a, c), mult(b, a)), mult(a, c)), b), a) = mult(mult(mult(mult(a, c), mult(b, a)), mult(a, c)), mult(b, a)))) | (~(mult(mult(mult(a, b), c), a) = mult(mult(a, b), mult(a, c)))) | (~(mult(mult(mult(mult(b, a), mult(a, c)), a), b) = mult(mult(mult(b, a), mult(a, c)), mult(b, a)))) | (~(mult(mult(c, b), a) = mult(c, mult(a, b)))) | (~(mult(mult(a, mult(mult(a, b), a)), c) = mult(a, mult(mult(mult(a, b), a), c)))) | (~(mult(mult(mult(mult(a, a), b), a), c) = mult(mult(mult(a, a), b), mult(c, a)))) | (~(mult(mult(a, mult(a, mult(a, c))), b) = mult(a, mult(mult(a, mult(a, c)), b)))) | (~(mult(mult(mult(a, c), mult(a, b)), a) = mult(mult(a, c), mult(a, mult(a, b))))) | (~(mult(mult(a, mult(a, b)), c) = mult(a, mult(mult(a, b), c)))) | (mult(mult(mult(a, c), mult(b, a)), b) = mult(mult(a, c), mult(mult(b, a), b))) | (mult(mult(mult(b, mult(c, a)), a), mult(b, a)) = mult(mult(b, mult(c, a)), mult(a, mult(b, a)))) | (~(mult(mult(mult(mult(b, a), mult(a, c)), b), a) = mult(mult(mult(b, a), mult(a, c)), mult(a, b)))) | (~(mult(mult(mult(b, a), a), b) = mult(mult(b, a), mult(a, b)))) | (~(mult(mult(mult(c, a), mult(mult(a, a), b)), b) = mult(mult(c, a), mult(b, mult(mult(a, a), b))))) | (~(mult(mult(mult(c, a), b), mult(a, a)) = mult(mult(c, a), mult(mult(a, a), b)))) | (mult(mult(mult(mult(mult(a, b), c), a), b), a) = mult(mult(mult(mult(a, b), c), a), mult(b, a))) | (~(mult(mult(b, mult(a, b)), a) = mult(b, mult(mult(a, b), a))))), inference(lemma,lemma(discharge,[]))).
% 5.89/6.10 tff(12670,plain,
% 5.89/6.10 (mult(mult(mult(b, a), c), mult(mult(a, b), a)) = mult(mult(b, a), mult(c, mult(mult(a, b), a)))),
% 5.89/6.10 inference(unit_resolution,[status(thm)],[12669, 12178, 11017, 11945, 754, 11025, 12175, 6056, 342, 6854, 10977, 168, 10943, 1110, 10859, 10910, 10727, 12169, 256, 4890, 10726, 11947, 12167, 10385, 10342, 11013, 11026])).
% 5.89/6.10 tff(12671,plain,
% 5.89/6.10 (mult(mult(mult(a, a), c), b) = mult(mult(a, mult(a, c)), b)),
% 5.89/6.10 inference(transitivity,[status(thm)],[11023, 8185, 11078, 12295])).
% 5.89/6.10 tff(12672,plain,
% 5.89/6.10 (rd(mult(mult(mult(a, a), c), b), b) = rd(mult(mult(a, mult(a, c)), b), b)),
% 5.89/6.10 inference(monotonicity,[status(thm)],[12671])).
% 5.89/6.10 tff(12673,plain,
% 5.89/6.10 (mult(mult(a, a), c) = mult(a, mult(a, c))),
% 5.89/6.10 inference(transitivity,[status(thm)],[5380, 12672, 908])).
% 5.89/6.10 tff(12674,plain,
% 5.89/6.10 (mult(mult(mult(a, a), c), a) = mult(mult(a, mult(a, c)), a)),
% 5.89/6.10 inference(monotonicity,[status(thm)],[12673])).
% 5.89/6.10 tff(12675,plain,
% 5.89/6.10 (mult(mult(a, mult(a, c)), a) = mult(mult(mult(a, a), c), a)),
% 5.89/6.10 inference(symmetry,[status(thm)],[12674])).
% 5.89/6.10 tff(12676,plain,
% 5.89/6.10 (mult(mult(a, mult(a, c)), a) = mult(a, mult(mult(a, c), a))),
% 5.89/6.10 inference(transitivity,[status(thm)],[12675, 1658])).
% 5.89/6.10 tff(12677,plain,
% 5.89/6.10 (mult(mult(mult(a, mult(a, c)), a), b) = mult(mult(a, mult(mult(a, c), a)), b)),
% 5.89/6.10 inference(monotonicity,[status(thm)],[12676])).
% 5.89/6.10 tff(12678,plain,
% 5.89/6.10 (mult(mult(a, mult(mult(a, c), a)), b) = mult(mult(mult(a, mult(a, c)), a), b)),
% 5.89/6.10 inference(symmetry,[status(thm)],[12677])).
% 5.89/6.10 tff(12679,assumption,(mult(mult(a, mult(mult(a, c), a)), b) = mult(a, mult(mult(mult(a, c), a), b))), introduced(assumption)).
% 5.89/6.10 tff(12680,plain,
% 5.89/6.10 (mult(a, mult(mult(mult(a, c), a), b)) = mult(mult(a, mult(mult(a, c), a)), b)),
% 5.89/6.10 inference(symmetry,[status(thm)],[12679])).
% 5.89/6.10 tff(12681,plain,
% 5.89/6.10 (mult(a, mult(mult(a, c), mult(b, a))) = mult(a, mult(mult(mult(a, c), a), b))),
% 5.89/6.10 inference(symmetry,[status(thm)],[11014])).
% 5.89/6.10 tff(12682,plain,
% 5.89/6.10 (mult(a, mult(a, mult(mult(c, a), b))) = mult(a, mult(mult(a, c), mult(b, a)))),
% 5.89/6.10 inference(symmetry,[status(thm)],[11964])).
% 5.89/6.10 tff(12683,plain,
% 5.89/6.10 (mult(mult(a, mult(mult(a, b), a)), c) = mult(a, mult(mult(mult(a, b), a), c))),
% 5.89/6.10 inference(unit_resolution,[status(thm)],[10858, 10783])).
% 5.89/6.10 tff(12684,plain,
% 5.89/6.10 (mult(b, mult(b, mult(mult(a, mult(a, c)), a))) = mult(b, mult(mult(mult(b, a), mult(a, c)), a))),
% 5.89/6.10 inference(monotonicity,[status(thm)],[10950])).
% 5.89/6.10 tff(12685,plain,
% 5.89/6.10 (mult(b, mult(mult(mult(b, a), mult(a, c)), a)) = mult(b, mult(b, mult(mult(a, mult(a, c)), a)))),
% 5.89/6.10 inference(symmetry,[status(thm)],[12684])).
% 5.89/6.10 tff(12686,plain,
% 5.89/6.10 (mult(mult(mult(b, a), mult(a, c)), a) = mult(mult(mult(a, a), b), mult(c, a))),
% 5.89/6.10 inference(transitivity,[status(thm)],[12191, 12183, 11969, 11099, 11959, 12439, 12437])).
% 5.89/6.10 tff(12687,plain,
% 5.89/6.10 (mult(b, mult(mult(mult(b, a), mult(a, c)), a)) = mult(b, mult(mult(mult(a, a), b), mult(c, a)))),
% 5.89/6.10 inference(monotonicity,[status(thm)],[12686])).
% 5.89/6.10 tff(12688,plain,
% 5.89/6.10 (mult(b, mult(mult(mult(a, a), b), mult(c, a))) = mult(b, mult(mult(mult(b, a), mult(a, c)), a))),
% 5.89/6.10 inference(symmetry,[status(thm)],[12687])).
% 5.89/6.10 tff(12689,plain,
% 5.89/6.10 (mult(a, mult(mult(b, a), mult(a, c))) = mult(mult(mult(a, a), b), mult(c, a))),
% 5.89/6.10 inference(transitivity,[status(thm)],[11306, 11015, 11017, 11097, 12183, 11969, 11099, 11959, 12439, 12437])).
% 5.89/6.10 tff(12690,plain,
% 5.89/6.10 (mult(b, mult(a, mult(mult(b, a), mult(a, c)))) = mult(b, mult(mult(mult(a, a), b), mult(c, a)))),
% 5.89/6.10 inference(monotonicity,[status(thm)],[12689])).
% 5.89/6.10 tff(12691,plain,
% 5.89/6.10 (mult(b, mult(a, mult(mult(b, a), mult(a, c)))) = mult(b, mult(b, mult(mult(a, mult(a, c)), a)))),
% 5.89/6.10 inference(transitivity,[status(thm)],[12690, 12688, 12685])).
% 5.89/6.10 tff(12692,plain,
% 5.89/6.10 (mult(mult(mult(mult(b, a), mult(a, c)), a), b) = mult(mult(b, mult(mult(a, mult(a, c)), a)), b)),
% 5.89/6.10 inference(symmetry,[status(thm)],[10951])).
% 5.89/6.10 tff(12693,plain,
% 5.89/6.10 (mult(mult(b, a), mult(mult(b, a), mult(a, c))) = mult(mult(b, mult(mult(a, mult(a, c)), a)), b)),
% 5.89/6.10 inference(transitivity,[status(thm)],[8736, 11411, 12692])).
% 5.89/6.10 tff(12694,plain,
% 5.89/6.10 ((mult(mult(b, a), mult(mult(b, a), mult(a, c))) = mult(b, mult(a, mult(mult(b, a), mult(a, c))))) <=> (mult(mult(b, mult(mult(a, mult(a, c)), a)), b) = mult(b, mult(b, mult(mult(a, mult(a, c)), a))))),
% 5.89/6.10 inference(monotonicity,[status(thm)],[12693, 12691])).
% 5.89/6.10 tff(12695,plain,
% 5.89/6.10 ((mult(mult(b, mult(mult(a, mult(a, c)), a)), b) = mult(b, mult(b, mult(mult(a, mult(a, c)), a)))) <=> (mult(mult(b, a), mult(mult(b, a), mult(a, c))) = mult(b, mult(a, mult(mult(b, a), mult(a, c)))))),
% 5.89/6.10 inference(symmetry,[status(thm)],[12694])).
% 5.89/6.10 tff(12696,assumption,(mult(mult(b, mult(mult(a, c), a)), mult(a, b)) = mult(b, mult(mult(a, b), mult(mult(a, c), a)))), introduced(assumption)).
% 5.89/6.10 tff(12697,plain,
% 5.89/6.10 (mult(b, mult(mult(a, b), mult(mult(a, c), a))) = mult(mult(b, mult(mult(a, c), a)), mult(a, b))),
% 5.89/6.10 inference(symmetry,[status(thm)],[12696])).
% 5.89/6.10 tff(12698,plain,
% 5.89/6.10 (mult(b, mult(b, mult(mult(a, mult(a, c)), a))) = mult(mult(b, mult(c, a)), mult(a, mult(b, a)))),
% 5.89/6.10 inference(transitivity,[status(thm)],[12684, 12687, 12489, 11581, 12697, 11585, 11390, 4201, 4198, 4196])).
% 5.89/6.10 tff(12699,plain,
% 5.89/6.10 (mult(mult(b, mult(mult(a, mult(a, c)), a)), b) = mult(mult(mult(b, mult(c, a)), a), mult(b, a))),
% 5.89/6.10 inference(transitivity,[status(thm)],[10951, 10947, 3535])).
% 5.89/6.10 tff(12700,plain,
% 5.89/6.10 ((mult(mult(b, mult(mult(a, mult(a, c)), a)), b) = mult(b, mult(b, mult(mult(a, mult(a, c)), a)))) <=> (mult(mult(mult(b, mult(c, a)), a), mult(b, a)) = mult(mult(b, mult(c, a)), mult(a, mult(b, a))))),
% 5.89/6.11 inference(monotonicity,[status(thm)],[12699, 12698])).
% 5.89/6.11 tff(12701,plain,
% 5.89/6.11 ((mult(mult(mult(b, mult(c, a)), a), mult(b, a)) = mult(mult(b, mult(c, a)), mult(a, mult(b, a)))) <=> (mult(mult(b, mult(mult(a, mult(a, c)), a)), b) = mult(b, mult(b, mult(mult(a, mult(a, c)), a))))),
% 5.89/6.11 inference(symmetry,[status(thm)],[12700])).
% 5.89/6.11 tff(12702,plain,
% 5.89/6.11 ((mult(mult(mult(b, mult(c, a)), a), mult(b, a)) = mult(mult(b, mult(c, a)), mult(a, mult(b, a)))) <=> (mult(mult(b, a), mult(mult(b, a), mult(a, c))) = mult(b, mult(a, mult(mult(b, a), mult(a, c)))))),
% 5.89/6.11 inference(transitivity,[status(thm)],[12701, 12695])).
% 5.89/6.11 tff(12703,plain,
% 5.89/6.11 ((~(mult(mult(mult(b, mult(c, a)), a), mult(b, a)) = mult(mult(b, mult(c, a)), mult(a, mult(b, a))))) <=> (~(mult(mult(b, a), mult(mult(b, a), mult(a, c))) = mult(b, mult(a, mult(mult(b, a), mult(a, c))))))),
% 5.89/6.11 inference(monotonicity,[status(thm)],[12702])).
% 5.89/6.11 tff(12704,plain,
% 5.89/6.11 (~(mult(mult(b, a), mult(mult(b, a), mult(a, c))) = mult(b, mult(a, mult(mult(b, a), mult(a, c)))))),
% 5.89/6.11 inference(modus_ponens,[status(thm)],[10726, 12703])).
% 5.89/6.11 tff(12705,plain,
% 5.89/6.11 (((~(mult(mult(b, a), mult(mult(b, a), mult(a, c))) = mult(b, mult(a, mult(mult(b, a), mult(a, c)))))) | (~(mult(mult(b, mult(mult(b, a), mult(a, c))), a) = mult(b, mult(mult(mult(b, a), mult(a, c)), a))))) | (mult(mult(b, a), mult(mult(b, a), mult(a, c))) = mult(b, mult(a, mult(mult(b, a), mult(a, c)))))),
% 5.89/6.11 inference(tautology,[status(thm)],[])).
% 5.89/6.11 tff(12706,plain,
% 5.89/6.11 ((~(mult(mult(b, a), mult(mult(b, a), mult(a, c))) = mult(b, mult(a, mult(mult(b, a), mult(a, c)))))) | (~(mult(mult(b, mult(mult(b, a), mult(a, c))), a) = mult(b, mult(mult(mult(b, a), mult(a, c)), a))))),
% 5.89/6.11 inference(unit_resolution,[status(thm)],[12705, 12704])).
% 5.89/6.11 tff(12707,plain,
% 5.89/6.11 ((mult(mult(b, a), mult(mult(b, a), mult(a, c))) = mult(b, mult(mult(mult(b, a), mult(a, c)), a))) <=> (mult(mult(b, mult(mult(a, mult(a, c)), a)), b) = mult(b, mult(b, mult(mult(a, mult(a, c)), a))))),
% 5.89/6.11 inference(monotonicity,[status(thm)],[12693, 12685])).
% 5.89/6.11 tff(12708,plain,
% 5.89/6.11 ((mult(mult(b, mult(mult(a, mult(a, c)), a)), b) = mult(b, mult(b, mult(mult(a, mult(a, c)), a)))) <=> (mult(mult(b, a), mult(mult(b, a), mult(a, c))) = mult(b, mult(mult(mult(b, a), mult(a, c)), a)))),
% 5.89/6.11 inference(symmetry,[status(thm)],[12707])).
% 5.89/6.11 tff(12709,plain,
% 5.89/6.11 ((mult(mult(mult(b, mult(c, a)), a), mult(b, a)) = mult(mult(b, mult(c, a)), mult(a, mult(b, a)))) <=> (mult(mult(b, a), mult(mult(b, a), mult(a, c))) = mult(b, mult(mult(mult(b, a), mult(a, c)), a)))),
% 5.89/6.11 inference(transitivity,[status(thm)],[12701, 12708])).
% 5.89/6.11 tff(12710,plain,
% 5.89/6.11 ((~(mult(mult(mult(b, mult(c, a)), a), mult(b, a)) = mult(mult(b, mult(c, a)), mult(a, mult(b, a))))) <=> (~(mult(mult(b, a), mult(mult(b, a), mult(a, c))) = mult(b, mult(mult(mult(b, a), mult(a, c)), a))))),
% 5.89/6.11 inference(monotonicity,[status(thm)],[12709])).
% 5.89/6.11 tff(12711,plain,
% 5.89/6.11 (~(mult(mult(b, a), mult(mult(b, a), mult(a, c))) = mult(b, mult(mult(mult(b, a), mult(a, c)), a)))),
% 5.89/6.11 inference(modus_ponens,[status(thm)],[10726, 12710])).
% 5.89/6.11 tff(12712,plain,
% 5.89/6.11 (((~(mult(mult(b, a), mult(mult(b, a), mult(a, c))) = mult(b, mult(mult(mult(b, a), mult(a, c)), a)))) | (~(mult(mult(b, mult(mult(b, a), mult(a, c))), a) = mult(b, mult(a, mult(mult(b, a), mult(a, c))))))) | (mult(mult(b, a), mult(mult(b, a), mult(a, c))) = mult(b, mult(mult(mult(b, a), mult(a, c)), a)))),
% 5.89/6.11 inference(tautology,[status(thm)],[])).
% 5.89/6.11 tff(12713,plain,
% 5.89/6.11 ((~(mult(mult(b, a), mult(mult(b, a), mult(a, c))) = mult(b, mult(mult(mult(b, a), mult(a, c)), a)))) | (~(mult(mult(b, mult(mult(b, a), mult(a, c))), a) = mult(b, mult(a, mult(mult(b, a), mult(a, c))))))),
% 5.89/6.11 inference(unit_resolution,[status(thm)],[12712, 12711])).
% 5.89/6.11 tff(12714,plain,
% 5.89/6.11 (((~![X0: $i, X1: $i, X2: $i] : ((~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X2, X1)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X1, X2)))))) | (~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X1, X2)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X2, X1)))))))) | ((~((~(mult(mult(b, a), mult(mult(b, a), mult(a, c))) = mult(b, mult(a, mult(mult(b, a), mult(a, c)))))) | (~(mult(mult(b, mult(mult(b, a), mult(a, c))), a) = mult(b, mult(mult(mult(b, a), mult(a, c)), a)))))) | (~((~(mult(mult(b, a), mult(mult(b, a), mult(a, c))) = mult(b, mult(mult(mult(b, a), mult(a, c)), a)))) | (~(mult(mult(b, mult(mult(b, a), mult(a, c))), a) = mult(b, mult(a, mult(mult(b, a), mult(a, c)))))))))) <=> ((~![X0: $i, X1: $i, X2: $i] : ((~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X2, X1)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X1, X2)))))) | (~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X1, X2)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X2, X1)))))))) | (~((~(mult(mult(b, a), mult(mult(b, a), mult(a, c))) = mult(b, mult(a, mult(mult(b, a), mult(a, c)))))) | (~(mult(mult(b, mult(mult(b, a), mult(a, c))), a) = mult(b, mult(mult(mult(b, a), mult(a, c)), a)))))) | (~((~(mult(mult(b, a), mult(mult(b, a), mult(a, c))) = mult(b, mult(mult(mult(b, a), mult(a, c)), a)))) | (~(mult(mult(b, mult(mult(b, a), mult(a, c))), a) = mult(b, mult(a, mult(mult(b, a), mult(a, c)))))))))),
% 5.89/6.11 inference(rewrite,[status(thm)],[])).
% 5.89/6.11 tff(12715,plain,
% 5.89/6.11 (((~((~(mult(mult(b, a), mult(mult(b, a), mult(a, c))) = mult(b, mult(mult(mult(b, a), mult(a, c)), a)))) | (~(mult(mult(b, mult(mult(b, a), mult(a, c))), a) = mult(b, mult(a, mult(mult(b, a), mult(a, c)))))))) | (~((~(mult(mult(b, a), mult(mult(b, a), mult(a, c))) = mult(b, mult(a, mult(mult(b, a), mult(a, c)))))) | (~(mult(mult(b, mult(mult(b, a), mult(a, c))), a) = mult(b, mult(mult(mult(b, a), mult(a, c)), a))))))) <=> ((~((~(mult(mult(b, a), mult(mult(b, a), mult(a, c))) = mult(b, mult(a, mult(mult(b, a), mult(a, c)))))) | (~(mult(mult(b, mult(mult(b, a), mult(a, c))), a) = mult(b, mult(mult(mult(b, a), mult(a, c)), a)))))) | (~((~(mult(mult(b, a), mult(mult(b, a), mult(a, c))) = mult(b, mult(mult(mult(b, a), mult(a, c)), a)))) | (~(mult(mult(b, mult(mult(b, a), mult(a, c))), a) = mult(b, mult(a, mult(mult(b, a), mult(a, c)))))))))),
% 5.89/6.11 inference(rewrite,[status(thm)],[])).
% 5.89/6.11 tff(12716,plain,
% 5.89/6.11 ((~((~(mult(mult(b, mult(mult(b, a), mult(a, c))), a) = mult(b, mult(mult(mult(b, a), mult(a, c)), a)))) | (~(mult(mult(b, a), mult(mult(b, a), mult(a, c))) = mult(b, mult(a, mult(mult(b, a), mult(a, c)))))))) <=> (~((~(mult(mult(b, a), mult(mult(b, a), mult(a, c))) = mult(b, mult(a, mult(mult(b, a), mult(a, c)))))) | (~(mult(mult(b, mult(mult(b, a), mult(a, c))), a) = mult(b, mult(mult(mult(b, a), mult(a, c)), a))))))),
% 5.89/6.11 inference(rewrite,[status(thm)],[])).
% 5.89/6.11 tff(12717,plain,
% 5.89/6.11 ((~((~(mult(mult(b, mult(mult(b, a), mult(a, c))), a) = mult(b, mult(a, mult(mult(b, a), mult(a, c)))))) | (~(mult(mult(b, a), mult(mult(b, a), mult(a, c))) = mult(b, mult(mult(mult(b, a), mult(a, c)), a)))))) <=> (~((~(mult(mult(b, a), mult(mult(b, a), mult(a, c))) = mult(b, mult(mult(mult(b, a), mult(a, c)), a)))) | (~(mult(mult(b, mult(mult(b, a), mult(a, c))), a) = mult(b, mult(a, mult(mult(b, a), mult(a, c))))))))),
% 5.89/6.11 inference(rewrite,[status(thm)],[])).
% 5.89/6.11 tff(12718,plain,
% 5.89/6.11 (((~((~(mult(mult(b, mult(mult(b, a), mult(a, c))), a) = mult(b, mult(a, mult(mult(b, a), mult(a, c)))))) | (~(mult(mult(b, a), mult(mult(b, a), mult(a, c))) = mult(b, mult(mult(mult(b, a), mult(a, c)), a)))))) | (~((~(mult(mult(b, mult(mult(b, a), mult(a, c))), a) = mult(b, mult(mult(mult(b, a), mult(a, c)), a)))) | (~(mult(mult(b, a), mult(mult(b, a), mult(a, c))) = mult(b, mult(a, mult(mult(b, a), mult(a, c))))))))) <=> ((~((~(mult(mult(b, a), mult(mult(b, a), mult(a, c))) = mult(b, mult(mult(mult(b, a), mult(a, c)), a)))) | (~(mult(mult(b, mult(mult(b, a), mult(a, c))), a) = mult(b, mult(a, mult(mult(b, a), mult(a, c)))))))) | (~((~(mult(mult(b, a), mult(mult(b, a), mult(a, c))) = mult(b, mult(a, mult(mult(b, a), mult(a, c)))))) | (~(mult(mult(b, mult(mult(b, a), mult(a, c))), a) = mult(b, mult(mult(mult(b, a), mult(a, c)), a)))))))),
% 5.89/6.11 inference(monotonicity,[status(thm)],[12717, 12716])).
% 5.89/6.11 tff(12719,plain,
% 5.89/6.11 (((~((~(mult(mult(b, mult(mult(b, a), mult(a, c))), a) = mult(b, mult(a, mult(mult(b, a), mult(a, c)))))) | (~(mult(mult(b, a), mult(mult(b, a), mult(a, c))) = mult(b, mult(mult(mult(b, a), mult(a, c)), a)))))) | (~((~(mult(mult(b, mult(mult(b, a), mult(a, c))), a) = mult(b, mult(mult(mult(b, a), mult(a, c)), a)))) | (~(mult(mult(b, a), mult(mult(b, a), mult(a, c))) = mult(b, mult(a, mult(mult(b, a), mult(a, c))))))))) <=> ((~((~(mult(mult(b, a), mult(mult(b, a), mult(a, c))) = mult(b, mult(a, mult(mult(b, a), mult(a, c)))))) | (~(mult(mult(b, mult(mult(b, a), mult(a, c))), a) = mult(b, mult(mult(mult(b, a), mult(a, c)), a)))))) | (~((~(mult(mult(b, a), mult(mult(b, a), mult(a, c))) = mult(b, mult(mult(mult(b, a), mult(a, c)), a)))) | (~(mult(mult(b, mult(mult(b, a), mult(a, c))), a) = mult(b, mult(a, mult(mult(b, a), mult(a, c)))))))))),
% 5.89/6.11 inference(transitivity,[status(thm)],[12718, 12715])).
% 5.89/6.11 tff(12720,plain,
% 5.89/6.11 (((~![X0: $i, X1: $i, X2: $i] : ((~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X2, X1)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X1, X2)))))) | (~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X1, X2)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X2, X1)))))))) | ((~((~(mult(mult(b, mult(mult(b, a), mult(a, c))), a) = mult(b, mult(a, mult(mult(b, a), mult(a, c)))))) | (~(mult(mult(b, a), mult(mult(b, a), mult(a, c))) = mult(b, mult(mult(mult(b, a), mult(a, c)), a)))))) | (~((~(mult(mult(b, mult(mult(b, a), mult(a, c))), a) = mult(b, mult(mult(mult(b, a), mult(a, c)), a)))) | (~(mult(mult(b, a), mult(mult(b, a), mult(a, c))) = mult(b, mult(a, mult(mult(b, a), mult(a, c)))))))))) <=> ((~![X0: $i, X1: $i, X2: $i] : ((~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X2, X1)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X1, X2)))))) | (~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X1, X2)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X2, X1)))))))) | ((~((~(mult(mult(b, a), mult(mult(b, a), mult(a, c))) = mult(b, mult(a, mult(mult(b, a), mult(a, c)))))) | (~(mult(mult(b, mult(mult(b, a), mult(a, c))), a) = mult(b, mult(mult(mult(b, a), mult(a, c)), a)))))) | (~((~(mult(mult(b, a), mult(mult(b, a), mult(a, c))) = mult(b, mult(mult(mult(b, a), mult(a, c)), a)))) | (~(mult(mult(b, mult(mult(b, a), mult(a, c))), a) = mult(b, mult(a, mult(mult(b, a), mult(a, c))))))))))),
% 5.89/6.11 inference(monotonicity,[status(thm)],[12719])).
% 5.89/6.11 tff(12721,plain,
% 5.89/6.11 (((~![X0: $i, X1: $i, X2: $i] : ((~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X2, X1)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X1, X2)))))) | (~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X1, X2)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X2, X1)))))))) | ((~((~(mult(mult(b, mult(mult(b, a), mult(a, c))), a) = mult(b, mult(a, mult(mult(b, a), mult(a, c)))))) | (~(mult(mult(b, a), mult(mult(b, a), mult(a, c))) = mult(b, mult(mult(mult(b, a), mult(a, c)), a)))))) | (~((~(mult(mult(b, mult(mult(b, a), mult(a, c))), a) = mult(b, mult(mult(mult(b, a), mult(a, c)), a)))) | (~(mult(mult(b, a), mult(mult(b, a), mult(a, c))) = mult(b, mult(a, mult(mult(b, a), mult(a, c)))))))))) <=> ((~![X0: $i, X1: $i, X2: $i] : ((~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X2, X1)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X1, X2)))))) | (~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X1, X2)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X2, X1)))))))) | (~((~(mult(mult(b, a), mult(mult(b, a), mult(a, c))) = mult(b, mult(a, mult(mult(b, a), mult(a, c)))))) | (~(mult(mult(b, mult(mult(b, a), mult(a, c))), a) = mult(b, mult(mult(mult(b, a), mult(a, c)), a)))))) | (~((~(mult(mult(b, a), mult(mult(b, a), mult(a, c))) = mult(b, mult(mult(mult(b, a), mult(a, c)), a)))) | (~(mult(mult(b, mult(mult(b, a), mult(a, c))), a) = mult(b, mult(a, mult(mult(b, a), mult(a, c)))))))))),
% 5.89/6.11 inference(transitivity,[status(thm)],[12720, 12714])).
% 5.89/6.11 tff(12722,plain,
% 5.89/6.11 ((~![X0: $i, X1: $i, X2: $i] : ((~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X2, X1)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X1, X2)))))) | (~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X1, X2)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X2, X1)))))))) | ((~((~(mult(mult(b, mult(mult(b, a), mult(a, c))), a) = mult(b, mult(a, mult(mult(b, a), mult(a, c)))))) | (~(mult(mult(b, a), mult(mult(b, a), mult(a, c))) = mult(b, mult(mult(mult(b, a), mult(a, c)), a)))))) | (~((~(mult(mult(b, mult(mult(b, a), mult(a, c))), a) = mult(b, mult(mult(mult(b, a), mult(a, c)), a)))) | (~(mult(mult(b, a), mult(mult(b, a), mult(a, c))) = mult(b, mult(a, mult(mult(b, a), mult(a, c)))))))))),
% 5.89/6.11 inference(quant_inst,[status(thm)],[])).
% 5.89/6.11 tff(12723,plain,
% 5.89/6.11 ((~![X0: $i, X1: $i, X2: $i] : ((~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X2, X1)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X1, X2)))))) | (~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X1, X2)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X2, X1)))))))) | (~((~(mult(mult(b, a), mult(mult(b, a), mult(a, c))) = mult(b, mult(a, mult(mult(b, a), mult(a, c)))))) | (~(mult(mult(b, mult(mult(b, a), mult(a, c))), a) = mult(b, mult(mult(mult(b, a), mult(a, c)), a)))))) | (~((~(mult(mult(b, a), mult(mult(b, a), mult(a, c))) = mult(b, mult(mult(mult(b, a), mult(a, c)), a)))) | (~(mult(mult(b, mult(mult(b, a), mult(a, c))), a) = mult(b, mult(a, mult(mult(b, a), mult(a, c))))))))),
% 5.89/6.11 inference(modus_ponens,[status(thm)],[12722, 12721])).
% 5.89/6.11 tff(12724,plain,
% 5.89/6.11 ((~((~(mult(mult(b, a), mult(mult(b, a), mult(a, c))) = mult(b, mult(a, mult(mult(b, a), mult(a, c)))))) | (~(mult(mult(b, mult(mult(b, a), mult(a, c))), a) = mult(b, mult(mult(mult(b, a), mult(a, c)), a)))))) | (~((~(mult(mult(b, a), mult(mult(b, a), mult(a, c))) = mult(b, mult(mult(mult(b, a), mult(a, c)), a)))) | (~(mult(mult(b, mult(mult(b, a), mult(a, c))), a) = mult(b, mult(a, mult(mult(b, a), mult(a, c))))))))),
% 5.89/6.11 inference(unit_resolution,[status(thm)],[12723, 30])).
% 5.89/6.11 tff(12725,plain,
% 5.89/6.11 ($false),
% 5.89/6.11 inference(unit_resolution,[status(thm)],[12724, 12713, 12706])).
% 5.89/6.11 tff(12726,plain,((~(mult(mult(b, mult(mult(a, c), a)), mult(a, b)) = mult(b, mult(mult(a, b), mult(mult(a, c), a))))) | (mult(mult(mult(b, mult(c, a)), a), mult(b, a)) = mult(mult(b, mult(c, a)), mult(a, mult(b, a)))) | (~(mult(mult(mult(mult(b, a), mult(a, c)), b), a) = mult(mult(mult(b, a), mult(a, c)), mult(a, b)))) | (~(mult(mult(a, mult(b, mult(c, a))), a) = mult(a, mult(a, mult(b, mult(c, a)))))) | (~(mult(mult(a, mult(mult(a, b), a)), c) = mult(a, mult(mult(mult(a, b), a), c)))) | (~(mult(mult(mult(mult(a, a), b), a), c) = mult(mult(mult(a, a), b), mult(c, a)))) | (~(mult(mult(a, b), mult(c, a)) = mult(a, mult(b, mult(c, a))))) | (~(mult(mult(a, mult(b, a)), mult(a, c)) = mult(a, mult(mult(b, a), mult(a, c))))) | (~(mult(mult(mult(a, b), a), mult(a, c)) = mult(mult(a, b), mult(mult(a, c), a)))) | (~(mult(mult(mult(mult(b, a), mult(a, c)), a), b) = mult(mult(mult(b, a), mult(a, c)), mult(b, a)))) | (~(mult(mult(mult(b, a), mult(a, c)), mult(b, a)) = mult(mult(b, a), mult(mult(b, a), mult(a, c)))))), inference(lemma,lemma(discharge,[]))).
% 5.89/6.11 tff(12727,plain,
% 5.89/6.11 (~(mult(mult(b, mult(mult(a, c), a)), mult(a, b)) = mult(b, mult(mult(a, b), mult(mult(a, c), a))))),
% 5.89/6.11 inference(unit_resolution,[status(thm)],[12726, 8734, 11316, 11969, 12683, 12437, 754, 11249, 11017, 10947, 10726])).
% 5.89/6.11 tff(12728,plain,
% 5.89/6.11 ((~(mult(mult(b, mult(a, b)), mult(mult(a, c), a)) = mult(b, mult(mult(mult(a, c), a), mult(a, b))))) | (~(mult(mult(b, mult(mult(a, c), a)), mult(a, b)) = mult(b, mult(mult(a, b), mult(mult(a, c), a)))))),
% 5.89/6.11 inference(unit_resolution,[status(thm)],[11530, 12727])).
% 5.89/6.11 tff(12729,plain,
% 5.89/6.11 (~((~(mult(mult(b, mult(a, b)), mult(mult(a, c), a)) = mult(b, mult(mult(a, b), mult(mult(a, c), a))))) | (~(mult(mult(b, mult(mult(a, c), a)), mult(a, b)) = mult(b, mult(mult(mult(a, c), a), mult(a, b))))))),
% 5.89/6.11 inference(unit_resolution,[status(thm)],[11528, 12728])).
% 5.89/6.11 tff(12730,plain,
% 5.89/6.11 (mult(mult(b, mult(mult(a, c), a)), mult(a, b)) = mult(b, mult(mult(mult(a, c), a), mult(a, b)))),
% 5.89/6.11 inference(unit_resolution,[status(thm)],[11520, 12729])).
% 5.89/6.11 tff(12731,plain,
% 5.89/6.11 (mult(b, mult(mult(mult(a, c), a), mult(a, b))) = mult(mult(b, mult(mult(a, c), a)), mult(a, b))),
% 5.89/6.11 inference(symmetry,[status(thm)],[12730])).
% 5.89/6.11 tff(12732,plain,
% 5.89/6.11 ((~(mult(mult(mult(mult(mult(a, c), mult(b, a)), mult(a, c)), b), a) = mult(mult(mult(mult(a, c), mult(b, a)), mult(a, c)), mult(a, b)))) | (~(mult(mult(mult(mult(mult(a, c), mult(b, a)), mult(a, c)), a), b) = mult(mult(mult(mult(a, c), mult(b, a)), mult(a, c)), mult(b, a))))),
% 5.89/6.12 inference(unit_resolution,[status(thm)],[10974, 6808])).
% 5.89/6.12 tff(12733,plain,
% 5.89/6.12 (~((~(mult(mult(mult(mult(mult(a, c), mult(b, a)), mult(a, c)), b), a) = mult(mult(mult(mult(a, c), mult(b, a)), mult(a, c)), mult(b, a)))) | (~(mult(mult(mult(mult(mult(a, c), mult(b, a)), mult(a, c)), a), b) = mult(mult(mult(mult(a, c), mult(b, a)), mult(a, c)), mult(a, b)))))),
% 5.89/6.12 inference(unit_resolution,[status(thm)],[6722, 12732])).
% 5.89/6.12 tff(12734,plain,
% 5.89/6.12 (mult(mult(mult(mult(mult(a, c), mult(b, a)), mult(a, c)), b), a) = mult(mult(mult(mult(a, c), mult(b, a)), mult(a, c)), mult(b, a))),
% 5.89/6.12 inference(unit_resolution,[status(thm)],[6724, 12733])).
% 5.89/6.12 tff(12735,plain,
% 5.89/6.12 (mult(mult(mult(mult(mult(a, b), c), a), b), a) = mult(mult(mult(mult(a, b), c), a), mult(a, b))),
% 5.89/6.12 inference(unit_resolution,[status(thm)],[11298, 12328])).
% 5.89/6.12 tff(12736,plain,
% 5.89/6.12 (mult(mult(a, mult(a, c)), a) = mult(a, mult(mult(a, c), a))),
% 5.89/6.12 inference(unit_resolution,[status(thm)],[10473, 11028, 11023])).
% 5.89/6.12 tff(12737,plain,
% 5.89/6.12 (mult(mult(mult(a, a), b), c) = mult(mult(a, a), mult(b, c))),
% 5.89/6.12 inference(unit_resolution,[status(thm)],[10483, 12736, 11028])).
% 5.89/6.12 tff(12738,plain,
% 5.89/6.12 (mult(mult(a, mult(mult(b, c), a)), a) = mult(a, mult(mult(mult(b, c), a), a))),
% 5.89/6.12 inference(unit_resolution,[status(thm)],[10556, 12737, 10911])).
% 5.89/6.12 tff(12739,assumption,(~(mult(mult(mult(b, a), mult(b, a)), mult(a, c)) = mult(mult(b, a), mult(mult(a, c), mult(b, a))))), introduced(assumption)).
% 5.89/6.12 tff(12740,plain,
% 5.89/6.12 ((~(mult(mult(mult(b, a), mult(b, a)), mult(a, c)) = mult(mult(b, a), mult(mult(a, c), mult(b, a))))) | (~(mult(mult(mult(b, a), mult(a, c)), mult(b, a)) = mult(mult(b, a), mult(mult(b, a), mult(a, c)))))),
% 5.89/6.12 inference(unit_resolution,[status(thm)],[11995, 12739])).
% 5.89/6.12 tff(12741,plain,
% 5.89/6.12 (~((~(mult(mult(mult(b, a), mult(a, c)), mult(b, a)) = mult(mult(b, a), mult(mult(a, c), mult(b, a))))) | (~(mult(mult(mult(b, a), mult(b, a)), mult(a, c)) = mult(mult(b, a), mult(mult(b, a), mult(a, c))))))),
% 5.89/6.12 inference(unit_resolution,[status(thm)],[11149, 12740])).
% 5.89/6.12 tff(12742,plain,
% 5.89/6.12 (mult(mult(mult(b, a), mult(a, c)), mult(b, a)) = mult(mult(b, a), mult(mult(a, c), mult(b, a)))),
% 5.89/6.12 inference(unit_resolution,[status(thm)],[11151, 12741])).
% 5.89/6.12 tff(12743,plain,
% 5.89/6.12 (mult(mult(b, a), mult(mult(a, c), mult(b, a))) = mult(mult(mult(b, a), mult(a, c)), mult(b, a))),
% 5.89/6.12 inference(symmetry,[status(thm)],[12742])).
% 5.89/6.12 tff(12744,plain,
% 5.89/6.12 (mult(mult(mult(b, a), mult(b, a)), mult(a, c)) = mult(mult(b, a), mult(mult(b, a), mult(a, c)))),
% 5.89/6.12 inference(unit_resolution,[status(thm)],[11175, 12741])).
% 5.89/6.12 tff(12745,plain,
% 5.89/6.12 ((mult(mult(mult(b, a), mult(b, a)), mult(a, c)) = mult(mult(b, a), mult(mult(a, c), mult(b, a)))) <=> (mult(mult(b, a), mult(mult(b, a), mult(a, c))) = mult(mult(mult(b, a), mult(a, c)), mult(b, a)))),
% 5.89/6.12 inference(monotonicity,[status(thm)],[12744, 12743])).
% 5.89/6.12 tff(12746,plain,
% 5.89/6.12 ((mult(mult(mult(b, a), mult(b, a)), mult(a, c)) = mult(mult(b, a), mult(mult(a, c), mult(b, a)))) <=> (mult(mult(mult(b, a), mult(a, c)), mult(b, a)) = mult(mult(b, a), mult(mult(b, a), mult(a, c))))),
% 5.89/6.12 inference(transitivity,[status(thm)],[12745, 11173])).
% 5.89/6.12 tff(12747,plain,
% 5.89/6.12 ((mult(mult(mult(b, a), mult(a, c)), mult(b, a)) = mult(mult(b, a), mult(mult(b, a), mult(a, c)))) <=> (mult(mult(mult(b, a), mult(b, a)), mult(a, c)) = mult(mult(b, a), mult(mult(a, c), mult(b, a))))),
% 5.89/6.12 inference(symmetry,[status(thm)],[12746])).
% 5.89/6.12 tff(12748,plain,
% 5.89/6.12 (~(mult(mult(mult(b, a), mult(a, mult(a, c))), b) = mult(mult(b, a), mult(mult(a, mult(a, c)), b)))),
% 5.89/6.12 inference(unit_resolution,[status(thm)],[11386, 12742, 10947, 2466, 11367, 11028, 368, 342])).
% 5.89/6.12 tff(12749,plain,
% 5.89/6.12 (mult(mult(mult(b, a), mult(a, c)), mult(b, a)) = mult(mult(b, a), mult(mult(b, a), mult(a, c)))),
% 5.89/6.12 inference(unit_resolution,[status(thm)],[11561, 12748, 11316, 368, 342, 10864, 11017, 11249, 10783, 11025, 11394, 10947, 11367, 10561, 6691, 10565, 6785, 1362, 168, 10726, 11026])).
% 5.89/6.12 tff(12750,plain,
% 5.89/6.12 (mult(mult(mult(b, a), mult(b, a)), mult(a, c)) = mult(mult(b, a), mult(mult(a, c), mult(b, a)))),
% 5.89/6.12 inference(modus_ponens,[status(thm)],[12749, 12747])).
% 5.89/6.12 tff(12751,plain,
% 5.89/6.12 ($false),
% 5.89/6.12 inference(unit_resolution,[status(thm)],[12739, 12750])).
% 5.89/6.12 tff(12752,plain,((mult(mult(mult(b, a), mult(b, a)), mult(a, c)) = mult(mult(b, a), mult(mult(a, c), mult(b, a)))) | (~(mult(mult(mult(mult(b, a), mult(a, c)), b), a) = mult(mult(mult(b, a), mult(a, c)), mult(a, b)))) | (~(mult(mult(a, c), mult(b, a)) = mult(a, mult(c, mult(b, a))))) | (~(mult(mult(c, a), b) = mult(c, mult(b, a)))) | (~(mult(mult(mult(a, c), a), mult(a, b)) = mult(mult(a, c), mult(mult(a, b), a)))) | (~(mult(mult(mult(a, b), a), mult(a, c)) = mult(mult(a, b), mult(mult(a, c), a)))) | (~(mult(mult(a, mult(b, a)), mult(a, c)) = mult(a, mult(mult(b, a), mult(a, c))))) | (~(mult(mult(a, c), mult(mult(a, b), a)) = mult(a, mult(c, mult(mult(a, b), a))))) | (~(mult(mult(mult(b, a), b), a) = mult(mult(b, a), mult(b, a)))) | (~(mult(mult(mult(b, a), c), mult(mult(a, b), a)) = mult(mult(b, a), mult(c, mult(mult(a, b), a))))) | (~(mult(mult(mult(mult(b, a), mult(a, c)), a), b) = mult(mult(mult(b, a), mult(a, c)), mult(b, a)))) | (~(mult(mult(b, a), mult(a, mult(a, c))) = mult(b, mult(mult(a, mult(a, c)), a)))) | (~(mult(mult(a, mult(mult(b, c), a)), a) = mult(a, mult(mult(mult(b, c), a), a)))) | (~(mult(mult(mult(mult(mult(a, b), c), a), b), a) = mult(mult(mult(mult(a, b), c), a), mult(a, b)))) | (~(mult(mult(a, b), mult(a, mult(a, c))) = mult(a, mult(b, mult(a, mult(a, c)))))) | (~(mult(mult(mult(mult(mult(a, c), mult(b, a)), mult(a, c)), b), a) = mult(mult(mult(mult(a, c), mult(b, a)), mult(a, c)), mult(b, a)))) | (~(mult(mult(mult(a, c), a), b) = mult(mult(a, c), mult(b, a)))) | (~(mult(mult(mult(a, b), c), a) = mult(mult(a, b), mult(a, c)))) | (mult(mult(mult(b, mult(c, a)), a), mult(b, a)) = mult(mult(b, mult(c, a)), mult(a, mult(b, a)))) | (~(mult(mult(b, mult(a, b)), a) = mult(b, mult(mult(a, b), a)))) | (mult(c, a) = mult(a, c))), inference(lemma,lemma(discharge,[]))).
% 5.89/6.12 tff(12753,plain,
% 5.89/6.12 (mult(mult(mult(b, a), mult(b, a)), mult(a, c)) = mult(mult(b, a), mult(mult(a, c), mult(b, a)))),
% 5.89/6.12 inference(unit_resolution,[status(thm)],[12752, 11316, 10728, 342, 10864, 11017, 11249, 10783, 11025, 11394, 10947, 11363, 12738, 12735, 10565, 12734, 10730, 168, 10726, 11026, 11365])).
% 5.89/6.12 tff(12754,plain,
% 5.89/6.12 (mult(mult(mult(b, a), mult(mult(c, a), b)), a) = mult(mult(b, a), mult(mult(mult(c, a), b), a))),
% 5.89/6.12 inference(unit_resolution,[status(thm)],[12111, 12730, 10864, 10737, 10728, 342, 11316, 11394])).
% 5.89/6.12 tff(12755,plain,
% 5.89/6.12 ((~(mult(mult(b, mult(a, c)), mult(mult(a, b), a)) = mult(b, mult(mult(a, c), mult(mult(a, b), a))))) | (~(mult(mult(b, mult(mult(a, b), a)), mult(a, c)) = mult(b, mult(mult(mult(a, b), a), mult(a, c)))))),
% 5.89/6.12 inference(unit_resolution,[status(thm)],[12137, 12754, 11316, 11394, 10864, 10737, 10728, 342, 11025, 11017, 12753, 11128])).
% 5.89/6.12 tff(12756,plain,
% 5.89/6.12 (~((~(mult(mult(b, mult(a, c)), mult(mult(a, b), a)) = mult(b, mult(mult(mult(a, b), a), mult(a, c))))) | (~(mult(mult(b, mult(mult(a, b), a)), mult(a, c)) = mult(b, mult(mult(a, c), mult(mult(a, b), a))))))),
% 5.89/6.12 inference(unit_resolution,[status(thm)],[11195, 12755])).
% 5.89/6.12 tff(12757,plain,
% 5.89/6.12 (mult(mult(b, mult(mult(a, b), a)), mult(a, c)) = mult(b, mult(mult(a, c), mult(mult(a, b), a)))),
% 5.89/6.12 inference(unit_resolution,[status(thm)],[11187, 12756])).
% 5.89/6.12 tff(12758,plain,
% 5.89/6.12 (mult(mult(b, a), mult(mult(a, c), mult(b, a))) = mult(mult(mult(b, a), mult(b, a)), mult(a, c))),
% 5.89/6.12 inference(symmetry,[status(thm)],[12753])).
% 5.89/6.12 tff(12759,plain,
% 5.89/6.12 (mult(mult(b, a), mult(a, mult(mult(c, a), b))) = mult(mult(b, a), mult(c, mult(mult(a, b), a)))),
% 5.89/6.12 inference(transitivity,[status(thm)],[11566, 12758, 11179, 12757, 11172, 12731, 11392, 11390, 11389, 4198, 11610, 11394])).
% 5.89/6.12 tff(12760,plain,
% 5.89/6.12 (ld(mult(b, a), mult(mult(b, a), mult(a, mult(mult(c, a), b)))) = ld(mult(b, a), mult(mult(b, a), mult(c, mult(mult(a, b), a))))),
% 5.89/6.12 inference(monotonicity,[status(thm)],[12759])).
% 5.89/6.12 tff(12761,plain,
% 5.89/6.12 (mult(a, mult(mult(c, a), b)) = mult(mult(mult(c, a), b), a)),
% 5.89/6.12 inference(transitivity,[status(thm)],[11448, 12760, 11130, 2808])).
% 5.89/6.12 tff(12762,plain,
% 5.89/6.12 (mult(a, mult(a, mult(mult(c, a), b))) = mult(a, mult(mult(mult(c, a), b), a))),
% 5.89/6.12 inference(monotonicity,[status(thm)],[12761])).
% 5.89/6.12 tff(12763,plain,
% 5.89/6.12 (mult(a, mult(mult(mult(c, a), b), a)) = mult(a, mult(a, mult(mult(c, a), b)))),
% 5.89/6.12 inference(symmetry,[status(thm)],[12762])).
% 5.89/6.12 tff(12764,plain,
% 5.89/6.12 ((~![B: $i, A: $i] : (ld(A, mult(A, B)) = B)) | (ld(mult(b, a), mult(mult(b, a), mult(mult(mult(a, b), c), a))) = mult(mult(mult(a, b), c), a))),
% 5.89/6.12 inference(quant_inst,[status(thm)],[])).
% 5.89/6.12 tff(12765,plain,
% 5.89/6.12 (ld(mult(b, a), mult(mult(b, a), mult(mult(mult(a, b), c), a))) = mult(mult(mult(a, b), c), a)),
% 5.89/6.12 inference(unit_resolution,[status(thm)],[12764, 9])).
% 5.89/6.12 tff(12766,plain,
% 5.89/6.12 (mult(mult(b, a), mult(mult(mult(a, b), c), a)) = mult(mult(b, a), mult(mult(a, b), mult(a, c)))),
% 5.89/6.12 inference(monotonicity,[status(thm)],[168])).
% 5.89/6.12 tff(12767,plain,
% 5.89/6.12 (mult(mult(b, a), mult(mult(a, b), mult(a, c))) = mult(mult(b, a), mult(mult(mult(a, b), c), a))),
% 5.89/6.12 inference(symmetry,[status(thm)],[12766])).
% 5.89/6.12 tff(12768,plain,
% 5.89/6.12 (mult(mult(a, c), mult(mult(a, mult(mult(mult(b, c), a), b)), a)) = mult(mult(a, c), mult(mult(mult(b, a), mult(a, c)), mult(b, a)))),
% 5.89/6.12 inference(transitivity,[status(thm)],[6687, 12375, 12734, 7198])).
% 5.89/6.12 tff(12769,plain,
% 5.89/6.12 (ld(mult(a, c), mult(mult(a, c), mult(mult(a, mult(mult(mult(b, c), a), b)), a))) = ld(mult(a, c), mult(mult(a, c), mult(mult(mult(b, a), mult(a, c)), mult(b, a))))),
% 5.89/6.12 inference(monotonicity,[status(thm)],[12768])).
% 5.89/6.12 tff(12770,plain,
% 5.89/6.12 (ld(mult(a, c), mult(mult(a, c), mult(mult(mult(b, a), mult(a, c)), mult(b, a)))) = ld(mult(a, c), mult(mult(a, c), mult(mult(a, mult(mult(mult(b, c), a), b)), a)))),
% 5.89/6.12 inference(symmetry,[status(thm)],[12769])).
% 5.89/6.12 tff(12771,plain,
% 5.89/6.12 ((mult(b, mult(mult(mult(a, b), a), mult(a, c))) = mult(mult(b, mult(mult(a, b), a)), mult(a, c))) <=> (mult(mult(b, mult(mult(a, b), a)), mult(a, c)) = mult(b, mult(mult(mult(a, b), a), mult(a, c))))),
% 5.89/6.12 inference(commutativity,[status(thm)],[])).
% 5.89/6.12 tff(12772,plain,
% 5.89/6.12 (mult(mult(mult(a, c), a), b) = mult(a, mult(mult(c, a), b))),
% 5.89/6.12 inference(transitivity,[status(thm)],[10730, 10728, 1282])).
% 5.89/6.12 tff(12773,plain,
% 5.89/6.12 (mult(mult(b, a), mult(mult(mult(a, c), a), b)) = mult(mult(b, a), mult(a, mult(mult(c, a), b)))),
% 5.89/6.12 inference(monotonicity,[status(thm)],[12772])).
% 5.89/6.12 tff(12774,plain,
% 5.89/6.12 (mult(mult(b, a), mult(mult(mult(a, c), a), b)) = mult(mult(b, mult(mult(a, b), a)), mult(a, c))),
% 5.89/6.12 inference(transitivity,[status(thm)],[12773, 11566, 12758, 11179])).
% 5.89/6.12 tff(12775,plain,
% 5.89/6.12 (((~(mult(mult(b, mult(a, b)), mult(mult(a, c), a)) = mult(b, mult(mult(a, b), mult(mult(a, c), a))))) | (~(mult(mult(b, mult(mult(a, c), a)), mult(a, b)) = mult(b, mult(mult(mult(a, c), a), mult(a, b)))))) | (mult(mult(b, mult(a, b)), mult(mult(a, c), a)) = mult(b, mult(mult(a, b), mult(mult(a, c), a))))),
% 5.89/6.12 inference(tautology,[status(thm)],[])).
% 5.89/6.12 tff(12776,plain,
% 5.89/6.12 (mult(mult(b, mult(a, b)), mult(mult(a, c), a)) = mult(b, mult(mult(a, b), mult(mult(a, c), a)))),
% 5.89/6.12 inference(unit_resolution,[status(thm)],[12775, 12729])).
% 5.89/6.12 tff(12777,plain,
% 5.89/6.12 (mult(mult(b, mult(a, b)), mult(mult(a, c), a)) = mult(mult(mult(b, a), b), mult(mult(a, c), a))),
% 5.89/6.12 inference(monotonicity,[status(thm)],[11464])).
% 5.89/6.12 tff(12778,plain,
% 5.89/6.12 (mult(mult(mult(b, a), b), mult(mult(a, c), a)) = mult(mult(b, mult(a, b)), mult(mult(a, c), a))),
% 5.89/6.12 inference(symmetry,[status(thm)],[12777])).
% 5.89/6.12 tff(12779,plain,
% 5.89/6.12 (mult(mult(mult(b, a), b), mult(mult(a, c), a)) = mult(b, mult(mult(mult(a, b), a), mult(a, c)))),
% 5.89/6.12 inference(transitivity,[status(thm)],[12778, 12776, 11582, 11548])).
% 5.89/6.12 tff(12780,plain,
% 5.89/6.12 ((mult(mult(mult(b, a), b), mult(mult(a, c), a)) = mult(mult(b, a), mult(mult(mult(a, c), a), b))) <=> (mult(b, mult(mult(mult(a, b), a), mult(a, c))) = mult(mult(b, mult(mult(a, b), a)), mult(a, c)))),
% 5.89/6.12 inference(monotonicity,[status(thm)],[12779, 12774])).
% 5.89/6.12 tff(12781,plain,
% 5.89/6.12 ((mult(mult(mult(b, a), b), mult(mult(a, c), a)) = mult(mult(b, a), mult(mult(mult(a, c), a), b))) <=> (mult(mult(b, mult(mult(a, b), a)), mult(a, c)) = mult(b, mult(mult(mult(a, b), a), mult(a, c))))),
% 5.89/6.12 inference(transitivity,[status(thm)],[12780, 12771])).
% 5.89/6.12 tff(12782,plain,
% 5.89/6.12 ((mult(mult(b, mult(mult(a, b), a)), mult(a, c)) = mult(b, mult(mult(mult(a, b), a), mult(a, c)))) <=> (mult(mult(mult(b, a), b), mult(mult(a, c), a)) = mult(mult(b, a), mult(mult(mult(a, c), a), b)))),
% 5.89/6.12 inference(symmetry,[status(thm)],[12781])).
% 5.89/6.12 tff(12783,plain,
% 5.89/6.12 (mult(b, mult(mult(mult(a, b), a), mult(a, c))) = mult(b, mult(mult(a, b), mult(mult(a, c), a)))),
% 5.89/6.12 inference(transitivity,[status(thm)],[11547, 11581])).
% 5.89/6.12 tff(12784,plain,
% 5.89/6.12 (mult(mult(b, mult(mult(a, b), a)), mult(a, c)) = mult(mult(b, mult(mult(a, c), a)), mult(a, b))),
% 5.89/6.12 inference(transitivity,[status(thm)],[12757, 11172, 12731])).
% 5.89/6.12 tff(12785,plain,
% 5.89/6.12 ((mult(mult(b, mult(mult(a, b), a)), mult(a, c)) = mult(b, mult(mult(mult(a, b), a), mult(a, c)))) <=> (mult(mult(b, mult(mult(a, c), a)), mult(a, b)) = mult(b, mult(mult(a, b), mult(mult(a, c), a))))),
% 5.89/6.12 inference(monotonicity,[status(thm)],[12784, 12783])).
% 5.89/6.12 tff(12786,plain,
% 5.89/6.12 ((mult(mult(b, mult(mult(a, c), a)), mult(a, b)) = mult(b, mult(mult(a, b), mult(mult(a, c), a)))) <=> (mult(mult(b, mult(mult(a, b), a)), mult(a, c)) = mult(b, mult(mult(mult(a, b), a), mult(a, c))))),
% 5.89/6.12 inference(symmetry,[status(thm)],[12785])).
% 5.89/6.12 tff(12787,plain,
% 5.89/6.12 ((mult(mult(b, mult(mult(a, c), a)), mult(a, b)) = mult(b, mult(mult(a, b), mult(mult(a, c), a)))) <=> (mult(mult(mult(b, a), b), mult(mult(a, c), a)) = mult(mult(b, a), mult(mult(mult(a, c), a), b)))),
% 5.89/6.12 inference(transitivity,[status(thm)],[12786, 12782])).
% 5.89/6.12 tff(12788,plain,
% 5.89/6.12 ((~(mult(mult(b, mult(mult(a, c), a)), mult(a, b)) = mult(b, mult(mult(a, b), mult(mult(a, c), a))))) <=> (~(mult(mult(mult(b, a), b), mult(mult(a, c), a)) = mult(mult(b, a), mult(mult(mult(a, c), a), b))))),
% 5.89/6.12 inference(monotonicity,[status(thm)],[12787])).
% 5.89/6.12 tff(12789,plain,
% 5.89/6.12 (~(mult(mult(mult(b, a), b), mult(mult(a, c), a)) = mult(mult(b, a), mult(mult(mult(a, c), a), b)))),
% 5.89/6.12 inference(modus_ponens,[status(thm)],[12727, 12788])).
% 5.89/6.12 tff(12790,plain,
% 5.89/6.12 ((~(mult(mult(mult(b, a), b), mult(mult(a, c), a)) = mult(mult(b, a), mult(mult(mult(a, c), a), b)))) | (~(mult(mult(mult(b, a), mult(mult(a, c), a)), b) = mult(mult(b, a), mult(b, mult(mult(a, c), a)))))),
% 5.89/6.12 inference(unit_resolution,[status(thm)],[11632, 12789])).
% 5.89/6.12 tff(12791,plain,
% 5.89/6.12 (~((~(mult(mult(mult(b, a), b), mult(mult(a, c), a)) = mult(mult(b, a), mult(b, mult(mult(a, c), a))))) | (~(mult(mult(mult(b, a), mult(mult(a, c), a)), b) = mult(mult(b, a), mult(mult(mult(a, c), a), b)))))),
% 5.89/6.12 inference(unit_resolution,[status(thm)],[11640, 12790])).
% 5.89/6.12 tff(12792,plain,
% 5.89/6.12 (mult(mult(mult(b, a), b), mult(mult(a, c), a)) = mult(mult(b, a), mult(b, mult(mult(a, c), a)))),
% 5.89/6.12 inference(unit_resolution,[status(thm)],[11642, 12791])).
% 5.89/6.12 tff(12793,plain,
% 5.89/6.12 (mult(b, mult(mult(a, b), mult(mult(a, c), a))) = mult(mult(b, mult(a, b)), mult(mult(a, c), a))),
% 5.89/6.12 inference(symmetry,[status(thm)],[12776])).
% 5.89/6.12 tff(12794,plain,
% 5.89/6.12 (mult(mult(b, mult(a, c)), mult(mult(a, b), a)) = mult(b, mult(mult(mult(a, b), a), mult(a, c)))),
% 5.89/6.12 inference(unit_resolution,[status(thm)],[12060, 12756])).
% 5.89/6.12 tff(12795,plain,
% 5.89/6.12 (mult(mult(mult(b, c), a), mult(mult(a, b), a)) = mult(mult(mult(a, b), c), mult(mult(a, b), a))),
% 5.89/6.12 inference(transitivity,[status(thm)],[11199, 12794, 11547, 11581, 12793, 12777, 12792, 12203, 8736, 7849, 12770, 7202, 11795, 11794])).
% 5.89/6.12 tff(12796,plain,
% 5.89/6.12 (rd(mult(mult(mult(b, c), a), mult(mult(a, b), a)), mult(mult(a, b), a)) = rd(mult(mult(mult(a, b), c), mult(mult(a, b), a)), mult(mult(a, b), a))),
% 5.89/6.12 inference(monotonicity,[status(thm)],[12795])).
% 5.89/6.12 tff(12797,plain,
% 5.89/6.12 (mult(mult(b, c), a) = mult(mult(a, b), c)),
% 5.89/6.12 inference(transitivity,[status(thm)],[11204, 12796, 11920])).
% 5.89/6.12 tff(12798,plain,
% 5.89/6.12 (mult(mult(mult(b, c), a), a) = mult(mult(mult(a, b), c), a)),
% 5.89/6.12 inference(monotonicity,[status(thm)],[12797])).
% 5.89/6.12 tff(12799,plain,
% 5.89/6.12 (mult(mult(mult(a, b), c), a) = mult(mult(mult(b, c), a), a)),
% 5.89/6.13 inference(symmetry,[status(thm)],[12798])).
% 5.89/6.13 tff(12800,plain,
% 5.89/6.13 (mult(mult(a, b), mult(a, c)) = mult(b, mult(a, mult(a, c)))),
% 5.89/6.13 inference(transitivity,[status(thm)],[403, 12799, 5784, 5328])).
% 5.89/6.13 tff(12801,plain,
% 5.89/6.13 (mult(mult(b, a), mult(mult(a, b), mult(a, c))) = mult(mult(b, a), mult(b, mult(a, mult(a, c))))),
% 5.89/6.13 inference(monotonicity,[status(thm)],[12800])).
% 5.89/6.13 tff(12802,plain,
% 5.89/6.13 (mult(mult(b, a), mult(b, mult(a, mult(a, c)))) = mult(mult(b, a), mult(mult(a, b), mult(a, c)))),
% 5.89/6.13 inference(symmetry,[status(thm)],[12801])).
% 5.89/6.13 tff(12803,assumption,(mult(mult(mult(b, a), b), mult(mult(a, c), a)) = mult(mult(b, a), mult(b, mult(mult(a, c), a)))), introduced(assumption)).
% 5.89/6.13 tff(12804,assumption,(mult(mult(b, mult(a, b)), mult(mult(a, c), a)) = mult(b, mult(mult(a, b), mult(mult(a, c), a)))), introduced(assumption)).
% 5.89/6.13 tff(12805,plain,
% 5.89/6.13 (mult(b, mult(mult(a, b), mult(mult(a, c), a))) = mult(mult(b, mult(a, b)), mult(mult(a, c), a))),
% 5.89/6.13 inference(symmetry,[status(thm)],[12804])).
% 5.89/6.13 tff(12806,assumption,(mult(mult(b, mult(a, c)), mult(mult(a, b), a)) = mult(b, mult(mult(mult(a, b), a), mult(a, c)))), introduced(assumption)).
% 5.89/6.13 tff(12807,plain,
% 5.89/6.13 (mult(mult(mult(b, c), a), mult(mult(a, b), a)) = mult(mult(mult(a, b), c), mult(mult(a, b), a))),
% 5.89/6.13 inference(transitivity,[status(thm)],[11199, 12806, 11547, 11581, 12805, 12777, 12803, 12203, 8736, 7849, 7848, 7202, 11795, 11794])).
% 5.89/6.13 tff(12808,plain,
% 5.89/6.13 (rd(mult(mult(mult(b, c), a), mult(mult(a, b), a)), mult(mult(a, b), a)) = rd(mult(mult(mult(a, b), c), mult(mult(a, b), a)), mult(mult(a, b), a))),
% 5.89/6.13 inference(monotonicity,[status(thm)],[12807])).
% 5.89/6.13 tff(12809,plain,
% 5.89/6.13 (mult(mult(b, c), a) = mult(mult(a, b), c)),
% 5.89/6.13 inference(transitivity,[status(thm)],[11204, 12808, 11920])).
% 5.89/6.13 tff(12810,plain,
% 5.89/6.13 (mult(mult(mult(b, c), a), a) = mult(mult(mult(a, b), c), a)),
% 5.89/6.13 inference(monotonicity,[status(thm)],[12809])).
% 5.89/6.13 tff(12811,plain,
% 5.89/6.13 (mult(mult(mult(a, b), c), a) = mult(mult(mult(b, c), a), a)),
% 5.89/6.13 inference(symmetry,[status(thm)],[12810])).
% 5.89/6.13 tff(12812,plain,
% 5.89/6.13 (mult(mult(a, b), mult(a, c)) = mult(b, mult(a, mult(a, c)))),
% 5.89/6.13 inference(transitivity,[status(thm)],[403, 12811, 5784, 5328])).
% 5.89/6.13 tff(12813,plain,
% 5.89/6.13 (mult(mult(b, a), mult(mult(a, b), mult(a, c))) = mult(mult(b, a), mult(b, mult(a, mult(a, c))))),
% 5.89/6.13 inference(monotonicity,[status(thm)],[12812])).
% 5.89/6.13 tff(12814,plain,
% 5.89/6.13 (mult(mult(b, a), mult(b, mult(a, mult(a, c)))) = mult(mult(b, a), mult(mult(a, b), mult(a, c)))),
% 5.89/6.13 inference(symmetry,[status(thm)],[12813])).
% 5.89/6.13 tff(12815,assumption,(mult(mult(mult(b, a), mult(a, mult(a, c))), b) = mult(mult(b, a), mult(b, mult(a, mult(a, c))))), introduced(assumption)).
% 5.89/6.13 tff(12816,plain,
% 5.89/6.13 (mult(mult(b, a), mult(mult(b, a), mult(a, c))) = mult(mult(b, a), mult(mult(mult(a, b), c), a))),
% 5.89/6.13 inference(transitivity,[status(thm)],[8736, 11411, 12335, 12815, 12814, 12767])).
% 5.89/6.13 tff(12817,plain,
% 5.89/6.13 (ld(mult(b, a), mult(mult(b, a), mult(mult(b, a), mult(a, c)))) = ld(mult(b, a), mult(mult(b, a), mult(mult(mult(a, b), c), a)))),
% 5.89/6.13 inference(monotonicity,[status(thm)],[12816])).
% 5.89/6.13 tff(12818,plain,
% 5.89/6.13 (mult(mult(mult(a, b), a), c) = mult(mult(a, b), mult(a, c))),
% 5.89/6.13 inference(transitivity,[status(thm)],[11988, 12187, 12181, 11270, 12817, 12765, 168])).
% 5.89/6.13 tff(12819,plain,
% 5.89/6.13 ($false),
% 5.89/6.13 inference(unit_resolution,[status(thm)],[11124, 12818])).
% 5.89/6.13 tff(12820,plain,((~(mult(mult(mult(b, a), mult(a, mult(a, c))), b) = mult(mult(b, a), mult(b, mult(a, mult(a, c)))))) | (~(mult(mult(mult(a, b), c), a) = mult(mult(a, b), mult(a, c)))) | (~(mult(mult(mult(mult(b, a), mult(a, c)), a), b) = mult(mult(mult(b, a), mult(a, c)), mult(b, a)))) | (~(mult(mult(mult(b, a), mult(a, c)), mult(b, a)) = mult(mult(b, a), mult(mult(b, a), mult(a, c))))) | (~(mult(mult(b, mult(a, c)), mult(mult(a, b), a)) = mult(b, mult(mult(mult(a, b), a), mult(a, c))))) | (~(mult(mult(b, mult(a, b)), mult(mult(a, c), a)) = mult(b, mult(mult(a, b), mult(mult(a, c), a))))) | (~(mult(mult(mult(b, a), b), mult(mult(a, c), a)) = mult(mult(b, a), mult(b, mult(mult(a, c), a))))) | (~(mult(mult(b, mult(a, b)), a) = mult(b, mult(mult(a, b), a)))) | (~(mult(mult(mult(a, b), a), mult(a, c)) = mult(mult(a, b), mult(mult(a, c), a)))) | (~(mult(mult(mult(mult(mult(a, c), mult(b, a)), mult(a, c)), b), a) = mult(mult(mult(mult(a, c), mult(b, a)), mult(a, c)), mult(b, a)))) | (~(mult(mult(mult(a, c), a), b) = mult(mult(a, c), mult(b, a)))) | (~(mult(mult(a, mult(b, a)), mult(a, c)) = mult(a, mult(mult(b, a), mult(a, c))))) | (~(mult(mult(a, mult(b, mult(c, a))), a) = mult(a, mult(a, mult(b, mult(c, a)))))) | (~(mult(mult(a, b), mult(c, a)) = mult(a, mult(b, mult(c, a)))))), inference(lemma,lemma(discharge,[]))).
% 5.89/6.13 tff(12821,plain,
% 5.89/6.13 (~(mult(mult(mult(b, a), mult(a, mult(a, c))), b) = mult(mult(b, a), mult(b, mult(a, mult(a, c)))))),
% 5.89/6.13 inference(unit_resolution,[status(thm)],[12820, 8734, 10947, 168, 12794, 12776, 12792, 11026, 11017, 12734, 10730, 11249, 11969, 754])).
% 5.89/6.13 tff(12822,plain,
% 5.89/6.13 ((~(mult(mult(mult(b, a), b), mult(a, mult(a, c))) = mult(mult(b, a), mult(mult(a, mult(a, c)), b)))) | (~(mult(mult(mult(b, a), mult(a, mult(a, c))), b) = mult(mult(b, a), mult(b, mult(a, mult(a, c))))))),
% 5.89/6.13 inference(unit_resolution,[status(thm)],[11444, 12821])).
% 5.89/6.13 tff(12823,plain,
% 5.89/6.13 (~((~(mult(mult(mult(b, a), b), mult(a, mult(a, c))) = mult(mult(b, a), mult(b, mult(a, mult(a, c)))))) | (~(mult(mult(mult(b, a), mult(a, mult(a, c))), b) = mult(mult(b, a), mult(mult(a, mult(a, c)), b)))))),
% 5.89/6.13 inference(unit_resolution,[status(thm)],[11442, 12822])).
% 5.89/6.13 tff(12824,plain,
% 5.89/6.13 (((~(mult(mult(mult(b, a), b), mult(a, mult(a, c))) = mult(mult(b, a), mult(b, mult(a, mult(a, c)))))) | (~(mult(mult(mult(b, a), mult(a, mult(a, c))), b) = mult(mult(b, a), mult(mult(a, mult(a, c)), b))))) | (mult(mult(mult(b, a), b), mult(a, mult(a, c))) = mult(mult(b, a), mult(b, mult(a, mult(a, c)))))),
% 5.89/6.13 inference(tautology,[status(thm)],[])).
% 5.89/6.13 tff(12825,plain,
% 5.89/6.13 (mult(mult(mult(b, a), b), mult(a, mult(a, c))) = mult(mult(b, a), mult(b, mult(a, mult(a, c))))),
% 5.89/6.13 inference(unit_resolution,[status(thm)],[12824, 12823])).
% 5.89/6.13 tff(12826,plain,
% 5.89/6.13 ((mult(mult(b, a), mult(mult(mult(a, c), a), b)) = mult(mult(mult(b, a), b), mult(mult(a, c), a))) <=> (mult(mult(mult(b, a), b), mult(mult(a, c), a)) = mult(mult(b, a), mult(mult(mult(a, c), a), b)))),
% 5.89/6.13 inference(commutativity,[status(thm)],[])).
% 5.89/6.13 tff(12827,plain,
% 5.89/6.13 (mult(mult(b, a), mult(a, mult(mult(c, a), b))) = mult(mult(b, a), mult(mult(mult(a, c), a), b))),
% 5.89/6.13 inference(symmetry,[status(thm)],[12773])).
% 5.89/6.13 tff(12828,plain,
% 5.89/6.13 (mult(mult(mult(mult(b, a), b), a), mult(a, c)) = mult(mult(b, a), mult(mult(mult(a, c), a), b))),
% 5.89/6.13 inference(transitivity,[status(thm)],[12201, 12753, 12371, 12827])).
% 5.89/6.13 tff(12829,plain,
% 5.89/6.13 ((mult(mult(mult(mult(b, a), b), a), mult(a, c)) = mult(mult(mult(b, a), b), mult(mult(a, c), a))) <=> (mult(mult(b, a), mult(mult(mult(a, c), a), b)) = mult(mult(mult(b, a), b), mult(mult(a, c), a)))),
% 5.89/6.13 inference(monotonicity,[status(thm)],[12828])).
% 5.89/6.13 tff(12830,plain,
% 5.89/6.13 ((mult(mult(mult(mult(b, a), b), a), mult(a, c)) = mult(mult(mult(b, a), b), mult(mult(a, c), a))) <=> (mult(mult(mult(b, a), b), mult(mult(a, c), a)) = mult(mult(b, a), mult(mult(mult(a, c), a), b)))),
% 5.89/6.13 inference(transitivity,[status(thm)],[12829, 12826])).
% 5.89/6.13 tff(12831,plain,
% 5.89/6.13 ((mult(mult(mult(b, a), b), mult(mult(a, c), a)) = mult(mult(b, a), mult(mult(mult(a, c), a), b))) <=> (mult(mult(mult(mult(b, a), b), a), mult(a, c)) = mult(mult(mult(b, a), b), mult(mult(a, c), a)))),
% 5.89/6.13 inference(symmetry,[status(thm)],[12830])).
% 5.89/6.13 tff(12832,plain,
% 5.89/6.13 ((mult(mult(b, mult(mult(a, c), a)), mult(a, b)) = mult(b, mult(mult(a, b), mult(mult(a, c), a)))) <=> (mult(mult(mult(mult(b, a), b), a), mult(a, c)) = mult(mult(mult(b, a), b), mult(mult(a, c), a)))),
% 5.89/6.13 inference(transitivity,[status(thm)],[12786, 12782, 12831])).
% 5.89/6.13 tff(12833,plain,
% 5.89/6.13 ((~(mult(mult(b, mult(mult(a, c), a)), mult(a, b)) = mult(b, mult(mult(a, b), mult(mult(a, c), a))))) <=> (~(mult(mult(mult(mult(b, a), b), a), mult(a, c)) = mult(mult(mult(b, a), b), mult(mult(a, c), a))))),
% 5.89/6.13 inference(monotonicity,[status(thm)],[12832])).
% 5.89/6.13 tff(12834,plain,
% 5.89/6.13 (~(mult(mult(mult(mult(b, a), b), a), mult(a, c)) = mult(mult(mult(b, a), b), mult(mult(a, c), a)))),
% 5.89/6.13 inference(modus_ponens,[status(thm)],[12727, 12833])).
% 5.89/6.13 tff(12835,plain,
% 5.89/6.13 ((~(mult(mult(mult(mult(b, a), b), mult(a, c)), a) = mult(mult(mult(b, a), b), mult(a, mult(a, c))))) | (~(mult(mult(mult(mult(b, a), b), a), mult(a, c)) = mult(mult(mult(b, a), b), mult(mult(a, c), a))))),
% 5.89/6.13 inference(unit_resolution,[status(thm)],[12280, 12834])).
% 5.89/6.13 tff(12836,plain,
% 5.89/6.13 (~((~(mult(mult(mult(mult(b, a), b), mult(a, c)), a) = mult(mult(mult(b, a), b), mult(mult(a, c), a)))) | (~(mult(mult(mult(mult(b, a), b), a), mult(a, c)) = mult(mult(mult(b, a), b), mult(a, mult(a, c))))))),
% 5.89/6.13 inference(unit_resolution,[status(thm)],[12285, 12835])).
% 5.89/6.13 tff(12837,plain,
% 5.89/6.13 (mult(mult(mult(mult(b, a), b), a), mult(a, c)) = mult(mult(mult(b, a), b), mult(a, mult(a, c)))),
% 5.89/6.13 inference(unit_resolution,[status(thm)],[12287, 12836])).
% 5.89/6.13 tff(12838,plain,
% 5.89/6.13 (mult(mult(mult(b, a), mult(b, a)), mult(a, c)) = mult(mult(mult(mult(b, a), b), a), mult(a, c))),
% 5.89/6.13 inference(symmetry,[status(thm)],[12201])).
% 5.89/6.13 tff(12839,plain,
% 5.89/6.13 (mult(b, mult(mult(a, c), mult(mult(a, b), a))) = mult(mult(b, mult(mult(a, b), a)), mult(a, c))),
% 5.89/6.13 inference(symmetry,[status(thm)],[12757])).
% 5.89/6.13 tff(12840,plain,
% 5.89/6.13 (mult(mult(b, a), mult(c, mult(mult(a, b), a))) = mult(mult(b, a), mult(mult(mult(a, b), c), a))),
% 5.89/6.13 inference(transitivity,[status(thm)],[11397, 11155, 7884, 11388, 11316, 11391, 12730, 12089, 12839, 11180, 12838, 12837, 12825, 12802, 12767])).
% 5.89/6.13 tff(12841,plain,
% 5.89/6.13 (ld(mult(b, a), mult(mult(b, a), mult(c, mult(mult(a, b), a)))) = ld(mult(b, a), mult(mult(b, a), mult(mult(mult(a, b), c), a)))),
% 5.89/6.13 inference(monotonicity,[status(thm)],[12840])).
% 5.89/6.13 tff(12842,plain,
% 5.89/6.13 (mult(mult(mult(c, a), b), a) = mult(mult(a, b), mult(a, c))),
% 5.89/6.13 inference(transitivity,[status(thm)],[2807, 12145, 12841, 12765, 168])).
% 5.89/6.13 tff(12843,plain,
% 5.89/6.13 (mult(a, mult(mult(mult(c, a), b), a)) = mult(a, mult(mult(a, b), mult(a, c)))),
% 5.89/6.13 inference(monotonicity,[status(thm)],[12842])).
% 5.89/6.13 tff(12844,plain,
% 5.89/6.13 (mult(a, mult(mult(a, b), mult(a, c))) = mult(a, mult(mult(mult(c, a), b), a))),
% 5.89/6.13 inference(symmetry,[status(thm)],[12843])).
% 5.89/6.13 tff(12845,plain,
% 5.89/6.13 (mult(mult(a, b), mult(a, c)) = mult(mult(a, mult(b, c)), a)),
% 5.89/6.13 inference(transitivity,[status(thm)],[403, 12538])).
% 5.89/6.13 tff(12846,plain,
% 5.89/6.13 (mult(a, mult(mult(a, b), mult(a, c))) = mult(a, mult(mult(a, mult(b, c)), a))),
% 5.89/6.13 inference(monotonicity,[status(thm)],[12845])).
% 5.89/6.13 tff(12847,plain,
% 5.89/6.13 (mult(a, mult(mult(a, mult(b, c)), a)) = mult(a, mult(mult(a, b), mult(a, c)))),
% 5.89/6.13 inference(symmetry,[status(thm)],[12846])).
% 5.89/6.13 tff(12848,plain,
% 5.89/6.13 (mult(mult(a, a), mult(b, c)) = mult(mult(mult(a, a), b), c)),
% 5.89/6.13 inference(transitivity,[status(thm)],[10911, 10420, 257, 5532])).
% 5.89/6.13 tff(12849,plain,
% 5.89/6.13 (mult(mult(mult(a, a), mult(b, c)), a) = mult(mult(mult(mult(a, a), b), c), a)),
% 5.89/6.13 inference(monotonicity,[status(thm)],[12848])).
% 5.89/6.13 tff(12850,plain,
% 5.89/6.13 (mult(mult(mult(mult(a, a), b), c), a) = mult(mult(mult(a, a), mult(b, c)), a)),
% 5.89/6.13 inference(symmetry,[status(thm)],[12849])).
% 5.89/6.13 tff(12851,plain,
% 5.89/6.13 (rd(mult(mult(mult(a, b), c), mult(mult(a, b), a)), mult(mult(a, b), a)) = rd(mult(mult(mult(b, c), a), mult(mult(a, b), a)), mult(mult(a, b), a))),
% 5.89/6.13 inference(symmetry,[status(thm)],[12796])).
% 5.89/6.13 tff(12852,plain,
% 5.89/6.13 (mult(mult(a, b), c) = mult(mult(b, c), a)),
% 5.89/6.13 inference(transitivity,[status(thm)],[11921, 12851, 11203])).
% 5.89/6.13 tff(12853,plain,
% 5.89/6.13 (mult(a, mult(mult(a, b), c)) = mult(a, mult(mult(b, c), a))),
% 5.89/6.13 inference(monotonicity,[status(thm)],[12852])).
% 5.89/6.13 tff(12854,plain,
% 5.89/6.13 (mult(mult(mult(a, a), b), c) = mult(mult(mult(a, b), c), a)),
% 5.89/6.13 inference(transitivity,[status(thm)],[5347, 256, 12853, 11403, 10660])).
% 5.89/6.13 tff(12855,plain,
% 5.89/6.13 (mult(mult(mult(mult(a, a), b), c), a) = mult(mult(mult(mult(a, b), c), a), a)),
% 5.89/6.13 inference(monotonicity,[status(thm)],[12854])).
% 5.89/6.13 tff(12856,plain,
% 5.89/6.13 (mult(mult(mult(mult(a, b), c), a), a) = mult(mult(mult(mult(a, a), b), c), a)),
% 5.89/6.13 inference(symmetry,[status(thm)],[12855])).
% 5.89/6.13 tff(12857,plain,
% 5.89/6.13 (mult(mult(mult(mult(a, b), c), a), a) = mult(mult(mult(a, mult(a, c)), a), b)),
% 5.89/6.13 inference(transitivity,[status(thm)],[12856, 12850, 5500, 12847, 12844, 12763, 12682, 12681, 12680, 12678])).
% 5.89/6.13 tff(12858,plain,
% 5.89/6.13 (mult(mult(mult(c, a), b), a) = mult(mult(mult(a, b), c), a)),
% 5.89/6.13 inference(transitivity,[status(thm)],[2807, 12145, 12841, 12765])).
% 5.89/6.13 tff(12859,plain,
% 5.89/6.13 (rd(mult(mult(mult(c, a), b), a), a) = rd(mult(mult(mult(a, b), c), a), a)),
% 5.89/6.13 inference(monotonicity,[status(thm)],[12858])).
% 5.89/6.13 tff(12860,plain,
% 5.89/6.13 (rd(mult(mult(mult(a, b), c), a), a) = rd(mult(mult(mult(c, a), b), a), a)),
% 5.89/6.13 inference(symmetry,[status(thm)],[12859])).
% 5.89/6.13 tff(12861,plain,
% 5.89/6.13 (mult(mult(a, b), c) = mult(mult(c, a), b)),
% 5.89/6.13 inference(transitivity,[status(thm)],[173, 12860, 3844])).
% 5.89/6.13 tff(12862,plain,
% 5.89/6.13 (mult(mult(mult(a, b), c), mult(mult(mult(mult(a, b), c), a), a)) = mult(mult(mult(c, a), b), mult(mult(mult(a, mult(a, c)), a), b))),
% 5.89/6.13 inference(monotonicity,[status(thm)],[12861, 12857])).
% 5.89/6.13 tff(12863,plain,
% 5.89/6.13 (mult(mult(a, mult(c, a)), b) = mult(mult(a, c), mult(b, a))),
% 5.89/6.13 inference(transitivity,[status(thm)],[742, 2430, 11069])).
% 5.89/6.13 tff(12864,plain,
% 5.89/6.13 (mult(mult(mult(a, mult(c, a)), b), mult(a, c)) = mult(mult(mult(a, c), mult(b, a)), mult(a, c))),
% 5.89/6.13 inference(monotonicity,[status(thm)],[12863])).
% 5.89/6.13 tff(12865,plain,
% 5.89/6.13 (ld(mult(b, a), mult(mult(b, a), mult(c, mult(mult(a, b), a)))) = ld(mult(b, a), mult(mult(b, a), mult(a, mult(mult(c, a), b))))),
% 5.89/6.13 inference(symmetry,[status(thm)],[12760])).
% 5.89/6.13 tff(12866,plain,
% 5.89/6.13 (mult(mult(mult(c, a), b), a) = mult(mult(a, mult(c, a)), b)),
% 5.89/6.13 inference(transitivity,[status(thm)],[2807, 12145, 12865, 11133, 983])).
% 5.89/6.13 tff(12867,plain,
% 5.89/6.13 (mult(mult(mult(mult(c, a), b), a), mult(a, c)) = mult(mult(mult(a, mult(c, a)), b), mult(a, c))),
% 5.89/6.13 inference(monotonicity,[status(thm)],[12866])).
% 5.89/6.13 tff(12868,plain,
% 5.89/6.13 (mult(mult(mult(mult(c, a), b), a), mult(a, c)) = mult(mult(mult(a, c), mult(b, a)), mult(a, c))),
% 5.89/6.13 inference(transitivity,[status(thm)],[12867, 12864])).
% 5.89/6.13 tff(12869,plain,
% 5.89/6.13 (mult(mult(mult(mult(mult(c, a), b), a), mult(a, c)), a) = mult(mult(mult(mult(a, c), mult(b, a)), mult(a, c)), a)),
% 5.89/6.13 inference(monotonicity,[status(thm)],[12868])).
% 5.89/6.13 tff(12870,plain,
% 5.89/6.13 ((~![C: $i, B: $i, A: $i] : (mult(mult(mult(A, B), C), B) = mult(A, mult(mult(B, C), B)))) | (mult(mult(mult(mult(mult(c, a), b), a), mult(a, c)), a) = mult(mult(mult(c, a), b), mult(mult(a, mult(a, c)), a)))),
% 5.89/6.13 inference(quant_inst,[status(thm)],[])).
% 5.89/6.13 tff(12871,plain,
% 5.89/6.13 (mult(mult(mult(mult(mult(c, a), b), a), mult(a, c)), a) = mult(mult(mult(c, a), b), mult(mult(a, mult(a, c)), a))),
% 5.89/6.13 inference(unit_resolution,[status(thm)],[12870, 860])).
% 5.89/6.13 tff(12872,plain,
% 5.89/6.13 (mult(mult(mult(c, a), b), mult(mult(a, mult(a, c)), a)) = mult(mult(mult(mult(mult(c, a), b), a), mult(a, c)), a)),
% 5.89/6.13 inference(symmetry,[status(thm)],[12871])).
% 5.89/6.13 tff(12873,plain,
% 5.89/6.13 (mult(mult(mult(c, a), b), mult(mult(a, mult(a, c)), a)) = mult(mult(mult(mult(a, c), mult(b, a)), mult(a, c)), a)),
% 5.89/6.13 inference(transitivity,[status(thm)],[12872, 12869])).
% 5.89/6.13 tff(12874,plain,
% 5.89/6.13 (mult(mult(mult(mult(c, a), b), mult(mult(a, mult(a, c)), a)), b) = mult(mult(mult(mult(mult(a, c), mult(b, a)), mult(a, c)), a), b)),
% 5.89/6.13 inference(monotonicity,[status(thm)],[12873])).
% 5.89/6.13 tff(12875,plain,
% 5.89/6.13 (mult(mult(mult(mult(mult(a, c), mult(b, a)), mult(a, c)), a), b) = mult(mult(mult(mult(c, a), b), mult(mult(a, mult(a, c)), a)), b)),
% 5.89/6.13 inference(symmetry,[status(thm)],[12874])).
% 5.89/6.13 tff(12876,plain,
% 5.89/6.13 (mult(mult(mult(mult(mult(a, c), mult(b, a)), mult(a, c)), a), b) = mult(mult(mult(mult(a, c), mult(b, a)), mult(a, c)), mult(a, b))),
% 5.89/6.13 inference(unit_resolution,[status(thm)],[6769, 12733])).
% 5.89/6.13 tff(12877,plain,
% 5.89/6.13 (mult(mult(mult(mult(a, c), mult(b, a)), mult(a, c)), mult(a, b)) = mult(mult(mult(mult(mult(a, c), mult(b, a)), mult(a, c)), a), b)),
% 5.89/6.13 inference(symmetry,[status(thm)],[12876])).
% 5.89/6.13 tff(12878,plain,
% 5.89/6.13 (mult(mult(c, mult(mult(a, b), a)), mult(a, c)) = mult(mult(mult(mult(c, a), b), a), mult(a, c))),
% 5.89/6.13 inference(monotonicity,[status(thm)],[2808])).
% 5.89/6.13 tff(12879,plain,
% 5.89/6.13 (mult(mult(mult(mult(c, a), b), a), mult(a, c)) = mult(mult(c, mult(mult(a, b), a)), mult(a, c))),
% 5.89/6.14 inference(symmetry,[status(thm)],[12878])).
% 5.89/6.14 tff(12880,plain,
% 5.89/6.14 (mult(mult(mult(a, mult(c, a)), b), mult(a, c)) = mult(mult(mult(mult(c, a), b), a), mult(a, c))),
% 5.89/6.14 inference(symmetry,[status(thm)],[12867])).
% 5.89/6.14 tff(12881,plain,
% 5.89/6.14 (mult(mult(mult(a, c), mult(b, a)), mult(a, c)) = mult(mult(mult(a, mult(c, a)), b), mult(a, c))),
% 5.89/6.14 inference(symmetry,[status(thm)],[12864])).
% 5.89/6.14 tff(12882,plain,
% 5.89/6.14 (mult(mult(mult(a, c), mult(b, a)), mult(a, c)) = mult(mult(c, mult(mult(a, b), a)), mult(a, c))),
% 5.89/6.14 inference(transitivity,[status(thm)],[12881, 12880, 12879])).
% 5.89/6.14 tff(12883,plain,
% 5.89/6.14 (mult(mult(mult(mult(a, c), mult(b, a)), mult(a, c)), mult(a, b)) = mult(mult(mult(c, mult(mult(a, b), a)), mult(a, c)), mult(a, b))),
% 5.89/6.14 inference(monotonicity,[status(thm)],[12882])).
% 5.89/6.14 tff(12884,plain,
% 5.89/6.14 (mult(mult(mult(c, mult(mult(a, b), a)), mult(a, c)), mult(a, b)) = mult(mult(mult(mult(a, c), mult(b, a)), mult(a, c)), mult(a, b))),
% 5.89/6.14 inference(symmetry,[status(thm)],[12883])).
% 5.89/6.14 tff(12885,plain,
% 5.89/6.14 (mult(c, mult(mult(a, b), a)) = mult(mult(a, c), mult(b, a))),
% 5.89/6.14 inference(transitivity,[status(thm)],[12145, 12865, 11133, 2430, 11069])).
% 5.89/6.14 tff(12886,plain,
% 5.89/6.14 (mult(mult(c, mult(mult(a, b), a)), mult(mult(a, c), mult(a, b))) = mult(mult(mult(a, c), mult(b, a)), mult(mult(a, c), mult(a, b)))),
% 5.89/6.14 inference(monotonicity,[status(thm)],[12885])).
% 5.89/6.14 tff(12887,plain,
% 5.89/6.14 ((mult(mult(mult(c, mult(mult(a, b), a)), mult(a, c)), mult(a, b)) = mult(mult(c, mult(mult(a, b), a)), mult(mult(a, c), mult(a, b)))) <=> (mult(mult(mult(mult(a, c), mult(b, a)), mult(a, c)), mult(a, b)) = mult(mult(mult(a, c), mult(b, a)), mult(mult(a, c), mult(a, b))))),
% 5.89/6.14 inference(monotonicity,[status(thm)],[12884, 12886])).
% 5.89/6.14 tff(12888,plain,
% 5.89/6.14 ((mult(mult(mult(mult(a, c), mult(b, a)), mult(a, c)), mult(a, b)) = mult(mult(mult(a, c), mult(b, a)), mult(mult(a, c), mult(a, b)))) <=> (mult(mult(mult(c, mult(mult(a, b), a)), mult(a, c)), mult(a, b)) = mult(mult(c, mult(mult(a, b), a)), mult(mult(a, c), mult(a, b))))),
% 5.89/6.14 inference(symmetry,[status(thm)],[12887])).
% 5.89/6.14 tff(12889,plain,
% 5.89/6.14 (mult(mult(mult(b, a), mult(a, mult(a, c))), b) = mult(mult(b, a), mult(mult(a, mult(a, c)), b))),
% 5.89/6.14 inference(unit_resolution,[status(thm)],[11434, 12823])).
% 5.89/6.14 tff(12890,plain,
% 5.89/6.14 (mult(mult(b, a), mult(mult(a, mult(a, c)), b)) = mult(mult(mult(b, a), mult(a, mult(a, c))), b)),
% 5.89/6.14 inference(symmetry,[status(thm)],[12889])).
% 5.89/6.14 tff(12891,plain,
% 5.89/6.14 (mult(mult(b, a), mult(mult(a, a), mult(c, b))) = mult(mult(b, a), mult(mult(b, a), mult(a, c)))),
% 5.89/6.14 inference(transitivity,[status(thm)],[12297, 12890, 12334, 10947, 8734])).
% 5.89/6.14 tff(12892,plain,
% 5.89/6.14 (ld(mult(b, a), mult(mult(b, a), mult(mult(a, a), mult(c, b)))) = ld(mult(b, a), mult(mult(b, a), mult(mult(b, a), mult(a, c))))),
% 5.89/6.14 inference(monotonicity,[status(thm)],[12891])).
% 5.89/6.14 tff(12893,plain,
% 5.89/6.14 (mult(mult(a, a), mult(c, b)) = mult(mult(b, a), mult(a, c))),
% 5.89/6.14 inference(transitivity,[status(thm)],[11378, 12892, 11251])).
% 5.89/6.14 tff(12894,plain,
% 5.89/6.14 (mult(mult(mult(a, a), mult(c, b)), a) = mult(mult(mult(b, a), mult(a, c)), a)),
% 5.89/6.14 inference(monotonicity,[status(thm)],[12893])).
% 5.89/6.14 tff(12895,plain,
% 5.89/6.14 (mult(a, mult(mult(a, mult(c, b)), a)) = mult(a, mult(mult(mult(a, b), a), c))),
% 5.89/6.14 inference(transitivity,[status(thm)],[5873, 12894, 12191, 12183, 11969, 11099])).
% 5.89/6.14 tff(12896,plain,
% 5.89/6.14 (ld(a, mult(a, mult(mult(a, mult(c, b)), a))) = ld(a, mult(a, mult(mult(mult(a, b), a), c)))),
% 5.89/6.14 inference(monotonicity,[status(thm)],[12895])).
% 5.89/6.14 tff(12897,plain,
% 5.89/6.14 (mult(mult(a, c), mult(a, b)) = mult(mult(b, a), mult(a, c))),
% 5.89/6.14 inference(transitivity,[status(thm)],[10729, 1414, 8206, 12304, 12896, 12187, 12181])).
% 5.89/6.14 tff(12898,plain,
% 5.89/6.14 (mult(mult(mult(a, c), mult(b, a)), mult(mult(a, c), mult(a, b))) = mult(mult(mult(a, c), mult(b, a)), mult(mult(b, a), mult(a, c)))),
% 5.89/6.14 inference(monotonicity,[status(thm)],[12897])).
% 5.89/6.14 tff(12899,plain,
% 5.89/6.14 (mult(mult(mult(a, c), mult(b, a)), mult(mult(b, a), mult(a, c))) = mult(mult(mult(a, c), mult(b, a)), mult(mult(a, c), mult(a, b)))),
% 5.89/6.14 inference(symmetry,[status(thm)],[12898])).
% 5.89/6.14 tff(12900,plain,
% 5.89/6.14 (mult(mult(mult(a, c), mult(b, a)), mult(mult(b, a), mult(a, c))) = mult(mult(a, c), mult(mult(mult(b, a), mult(a, c)), mult(b, a)))),
% 5.89/6.14 inference(unit_resolution,[status(thm)],[11669, 8734])).
% 5.89/6.14 tff(12901,plain,
% 5.89/6.14 ((mult(mult(a, c), mult(mult(mult(b, a), mult(a, c)), mult(b, a))) = mult(mult(mult(a, c), mult(b, a)), mult(mult(b, a), mult(a, c)))) <=> (mult(mult(mult(a, c), mult(b, a)), mult(mult(b, a), mult(a, c))) = mult(mult(a, c), mult(mult(mult(b, a), mult(a, c)), mult(b, a))))),
% 5.89/6.14 inference(commutativity,[status(thm)],[])).
% 5.89/6.14 tff(12902,plain,
% 5.89/6.14 ((mult(mult(mult(mult(a, c), mult(b, a)), mult(a, c)), mult(b, a)) = mult(mult(mult(a, c), mult(b, a)), mult(mult(b, a), mult(a, c)))) <=> (mult(mult(a, c), mult(mult(mult(b, a), mult(a, c)), mult(b, a))) = mult(mult(mult(a, c), mult(b, a)), mult(mult(b, a), mult(a, c))))),
% 5.89/6.14 inference(monotonicity,[status(thm)],[7198])).
% 5.89/6.14 tff(12903,plain,
% 5.89/6.14 ((mult(mult(mult(mult(a, c), mult(b, a)), mult(a, c)), mult(b, a)) = mult(mult(mult(a, c), mult(b, a)), mult(mult(b, a), mult(a, c)))) <=> (mult(mult(mult(a, c), mult(b, a)), mult(mult(b, a), mult(a, c))) = mult(mult(a, c), mult(mult(mult(b, a), mult(a, c)), mult(b, a))))),
% 5.89/6.14 inference(transitivity,[status(thm)],[12902, 12901])).
% 5.89/6.14 tff(12904,plain,
% 5.89/6.14 ((mult(mult(mult(a, c), mult(b, a)), mult(mult(b, a), mult(a, c))) = mult(mult(a, c), mult(mult(mult(b, a), mult(a, c)), mult(b, a)))) <=> (mult(mult(mult(mult(a, c), mult(b, a)), mult(a, c)), mult(b, a)) = mult(mult(mult(a, c), mult(b, a)), mult(mult(b, a), mult(a, c))))),
% 5.89/6.14 inference(symmetry,[status(thm)],[12903])).
% 5.89/6.14 tff(12905,plain,
% 5.89/6.14 (mult(mult(mult(mult(a, c), mult(b, a)), mult(a, c)), mult(b, a)) = mult(mult(mult(a, c), mult(b, a)), mult(mult(b, a), mult(a, c)))),
% 5.89/6.14 inference(modus_ponens,[status(thm)],[11675, 12904])).
% 5.89/6.14 tff(12906,assumption,(~(mult(mult(mult(mult(a, c), mult(b, a)), mult(a, c)), mult(b, a)) = mult(mult(mult(a, c), mult(b, a)), mult(mult(b, a), mult(a, c))))), introduced(assumption)).
% 5.89/6.14 tff(12907,plain,
% 5.89/6.14 ($false),
% 5.89/6.14 inference(unit_resolution,[status(thm)],[12906, 12905])).
% 5.89/6.14 tff(12908,plain,((~(mult(mult(mult(a, c), mult(b, a)), mult(mult(b, a), mult(a, c))) = mult(mult(a, c), mult(mult(mult(b, a), mult(a, c)), mult(b, a))))) | (mult(mult(mult(mult(a, c), mult(b, a)), mult(a, c)), mult(b, a)) = mult(mult(mult(a, c), mult(b, a)), mult(mult(b, a), mult(a, c))))), inference(lemma,lemma(discharge,[]))).
% 5.89/6.14 tff(12909,plain,
% 5.89/6.14 (mult(mult(mult(mult(a, c), mult(b, a)), mult(a, c)), mult(b, a)) = mult(mult(mult(a, c), mult(b, a)), mult(mult(b, a), mult(a, c)))),
% 5.89/6.14 inference(unit_resolution,[status(thm)],[12908, 12900])).
% 5.89/6.14 tff(12910,plain,
% 5.89/6.14 (mult(mult(mult(a, c), mult(mult(b, a), mult(a, c))), mult(b, a)) = mult(mult(a, c), mult(mult(mult(b, a), mult(a, c)), mult(b, a)))),
% 5.89/6.14 inference(unit_resolution,[status(thm)],[8755, 8734])).
% 5.89/6.14 tff(12911,plain,
% 5.89/6.14 (mult(mult(mult(a, c), mult(b, a)), mult(a, c)) = mult(mult(a, c), mult(mult(b, a), mult(a, c)))),
% 5.89/6.14 inference(unit_resolution,[status(thm)],[8770, 12910])).
% 5.89/6.14 tff(12912,plain,
% 5.89/6.14 (mult(mult(mult(a, c), mult(mult(b, a), mult(a, c))), mult(b, a)) = mult(mult(mult(mult(a, c), mult(b, a)), mult(a, c)), mult(b, a))),
% 5.89/6.14 inference(monotonicity,[status(thm)],[11734])).
% 5.89/6.14 tff(12913,plain,
% 5.89/6.14 (mult(mult(mult(mult(a, c), mult(b, a)), mult(a, c)), mult(b, a)) = mult(mult(mult(a, c), mult(mult(b, a), mult(a, c))), mult(b, a))),
% 5.89/6.14 inference(symmetry,[status(thm)],[12912])).
% 5.89/6.14 tff(12914,plain,
% 5.89/6.14 (mult(mult(mult(a, c), mult(b, a)), mult(mult(b, a), mult(a, c))) = mult(mult(mult(mult(a, c), mult(b, a)), mult(a, c)), mult(b, a))),
% 5.89/6.14 inference(symmetry,[status(thm)],[7017])).
% 5.89/6.14 tff(12915,plain,
% 5.89/6.14 (mult(mult(mult(a, c), mult(b, a)), mult(mult(b, a), mult(a, c))) = mult(mult(mult(a, c), mult(mult(b, a), mult(a, c))), mult(b, a))),
% 5.89/6.14 inference(transitivity,[status(thm)],[12914, 12913])).
% 5.89/6.14 tff(12916,plain,
% 5.89/6.14 ((mult(mult(mult(a, c), mult(b, a)), mult(mult(b, a), mult(a, c))) = mult(mult(a, c), mult(mult(b, a), mult(mult(b, a), mult(a, c))))) <=> (mult(mult(mult(a, c), mult(mult(b, a), mult(a, c))), mult(b, a)) = mult(mult(a, c), mult(mult(b, a), mult(mult(b, a), mult(a, c)))))),
% 5.89/6.14 inference(monotonicity,[status(thm)],[12915])).
% 5.89/6.14 tff(12917,plain,
% 5.89/6.14 ((mult(mult(mult(a, c), mult(mult(b, a), mult(a, c))), mult(b, a)) = mult(mult(a, c), mult(mult(b, a), mult(mult(b, a), mult(a, c))))) <=> (mult(mult(mult(a, c), mult(b, a)), mult(mult(b, a), mult(a, c))) = mult(mult(a, c), mult(mult(b, a), mult(mult(b, a), mult(a, c)))))),
% 5.89/6.14 inference(symmetry,[status(thm)],[12916])).
% 5.89/6.14 tff(12918,assumption,(~(mult(mult(mult(a, c), mult(b, a)), mult(mult(b, a), mult(a, c))) = mult(mult(a, c), mult(mult(b, a), mult(mult(b, a), mult(a, c)))))), introduced(assumption)).
% 5.89/6.14 tff(12919,plain,
% 5.89/6.14 ((~(mult(mult(mult(a, c), mult(mult(b, a), mult(a, c))), mult(b, a)) = mult(mult(a, c), mult(mult(mult(b, a), mult(a, c)), mult(b, a))))) | (~(mult(mult(mult(a, c), mult(b, a)), mult(mult(b, a), mult(a, c))) = mult(mult(a, c), mult(mult(b, a), mult(mult(b, a), mult(a, c))))))),
% 5.89/6.14 inference(unit_resolution,[status(thm)],[11665, 12918])).
% 5.89/6.14 tff(12920,plain,
% 5.89/6.14 (~((~(mult(mult(mult(a, c), mult(b, a)), mult(mult(b, a), mult(a, c))) = mult(mult(a, c), mult(mult(mult(b, a), mult(a, c)), mult(b, a))))) | (~(mult(mult(mult(a, c), mult(mult(b, a), mult(a, c))), mult(b, a)) = mult(mult(a, c), mult(mult(b, a), mult(mult(b, a), mult(a, c)))))))),
% 5.89/6.14 inference(unit_resolution,[status(thm)],[8751, 12919])).
% 5.89/6.14 tff(12921,plain,
% 5.89/6.14 (mult(mult(mult(a, c), mult(mult(b, a), mult(a, c))), mult(b, a)) = mult(mult(a, c), mult(mult(b, a), mult(mult(b, a), mult(a, c))))),
% 5.89/6.14 inference(unit_resolution,[status(thm)],[8753, 12920])).
% 5.89/6.14 tff(12922,plain,
% 5.89/6.14 (mult(mult(mult(a, c), mult(b, a)), mult(mult(b, a), mult(a, c))) = mult(mult(a, c), mult(mult(b, a), mult(mult(b, a), mult(a, c))))),
% 5.89/6.14 inference(modus_ponens,[status(thm)],[12921, 12917])).
% 5.89/6.14 tff(12923,plain,
% 5.89/6.14 ($false),
% 5.89/6.14 inference(unit_resolution,[status(thm)],[12918, 12922])).
% 5.89/6.14 tff(12924,plain,((mult(mult(mult(a, c), mult(b, a)), mult(mult(b, a), mult(a, c))) = mult(mult(a, c), mult(mult(b, a), mult(mult(b, a), mult(a, c))))) | (~(mult(mult(mult(mult(a, c), mult(b, a)), mult(a, c)), mult(b, a)) = mult(mult(mult(a, c), mult(b, a)), mult(mult(b, a), mult(a, c))))) | (~(mult(mult(mult(a, c), mult(b, a)), mult(a, c)) = mult(mult(a, c), mult(mult(b, a), mult(a, c)))))), inference(lemma,lemma(discharge,[]))).
% 5.89/6.14 tff(12925,plain,
% 5.89/6.14 (mult(mult(mult(a, c), mult(b, a)), mult(mult(b, a), mult(a, c))) = mult(mult(a, c), mult(mult(b, a), mult(mult(b, a), mult(a, c))))),
% 5.89/6.14 inference(unit_resolution,[status(thm)],[12924, 12911, 12909])).
% 5.89/6.14 tff(12926,plain,
% 5.89/6.14 (mult(mult(a, c), mult(mult(b, a), mult(mult(b, a), mult(a, c)))) = mult(mult(mult(a, c), mult(b, a)), mult(mult(b, a), mult(a, c)))),
% 5.89/6.14 inference(symmetry,[status(thm)],[12925])).
% 5.89/6.14 tff(12927,plain,
% 5.89/6.14 (mult(mult(a, c), mult(mult(mult(b, a), mult(a, c)), mult(b, a))) = mult(mult(a, c), mult(mult(b, a), mult(mult(b, a), mult(a, c))))),
% 5.89/6.14 inference(symmetry,[status(thm)],[8737])).
% 5.89/6.14 tff(12928,plain,
% 5.89/6.14 (mult(mult(mult(mult(a, c), mult(b, a)), mult(a, c)), mult(b, a)) = mult(mult(mult(a, c), mult(b, a)), mult(mult(a, c), mult(a, b)))),
% 5.89/6.14 inference(transitivity,[status(thm)],[7198, 12927, 12926, 12899])).
% 5.89/6.14 tff(12929,plain,
% 5.89/6.14 ((mult(mult(mult(mult(mult(a, c), mult(b, a)), mult(a, c)), a), b) = mult(mult(mult(mult(a, c), mult(b, a)), mult(a, c)), mult(b, a))) <=> (mult(mult(mult(mult(a, c), mult(b, a)), mult(a, c)), mult(a, b)) = mult(mult(mult(a, c), mult(b, a)), mult(mult(a, c), mult(a, b))))),
% 5.89/6.14 inference(monotonicity,[status(thm)],[12876, 12928])).
% 5.89/6.14 tff(12930,plain,
% 5.89/6.14 ((mult(mult(mult(mult(mult(a, c), mult(b, a)), mult(a, c)), a), b) = mult(mult(mult(mult(a, c), mult(b, a)), mult(a, c)), mult(b, a))) <=> (mult(mult(mult(c, mult(mult(a, b), a)), mult(a, c)), mult(a, b)) = mult(mult(c, mult(mult(a, b), a)), mult(mult(a, c), mult(a, b))))),
% 5.89/6.14 inference(transitivity,[status(thm)],[12929, 12888])).
% 5.89/6.14 tff(12931,plain,
% 5.89/6.14 ((~(mult(mult(mult(mult(mult(a, c), mult(b, a)), mult(a, c)), a), b) = mult(mult(mult(mult(a, c), mult(b, a)), mult(a, c)), mult(b, a)))) <=> (~(mult(mult(mult(c, mult(mult(a, b), a)), mult(a, c)), mult(a, b)) = mult(mult(c, mult(mult(a, b), a)), mult(mult(a, c), mult(a, b)))))),
% 5.89/6.15 inference(monotonicity,[status(thm)],[12930])).
% 5.89/6.15 tff(12932,plain,
% 5.89/6.15 (~(mult(mult(mult(c, mult(mult(a, b), a)), mult(a, c)), mult(a, b)) = mult(mult(c, mult(mult(a, b), a)), mult(mult(a, c), mult(a, b))))),
% 5.89/6.15 inference(modus_ponens,[status(thm)],[6808, 12931])).
% 5.89/6.15 tff(12933,plain,
% 5.89/6.15 (((~(mult(mult(mult(c, mult(mult(a, b), a)), mult(a, b)), mult(a, c)) = mult(mult(c, mult(mult(a, b), a)), mult(mult(a, b), mult(a, c))))) | (~(mult(mult(mult(c, mult(mult(a, b), a)), mult(a, c)), mult(a, b)) = mult(mult(c, mult(mult(a, b), a)), mult(mult(a, c), mult(a, b)))))) | (mult(mult(mult(c, mult(mult(a, b), a)), mult(a, c)), mult(a, b)) = mult(mult(c, mult(mult(a, b), a)), mult(mult(a, c), mult(a, b))))),
% 5.89/6.15 inference(tautology,[status(thm)],[])).
% 5.89/6.15 tff(12934,plain,
% 5.89/6.15 ((~(mult(mult(mult(c, mult(mult(a, b), a)), mult(a, b)), mult(a, c)) = mult(mult(c, mult(mult(a, b), a)), mult(mult(a, b), mult(a, c))))) | (~(mult(mult(mult(c, mult(mult(a, b), a)), mult(a, c)), mult(a, b)) = mult(mult(c, mult(mult(a, b), a)), mult(mult(a, c), mult(a, b)))))),
% 5.89/6.15 inference(unit_resolution,[status(thm)],[12933, 12932])).
% 5.89/6.15 tff(12935,plain,
% 5.89/6.15 (((~![X0: $i, X1: $i, X2: $i] : ((~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X2, X1)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X1, X2)))))) | (~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X1, X2)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X2, X1)))))))) | ((~((~(mult(mult(mult(c, mult(mult(a, b), a)), mult(a, b)), mult(a, c)) = mult(mult(c, mult(mult(a, b), a)), mult(mult(a, b), mult(a, c))))) | (~(mult(mult(mult(c, mult(mult(a, b), a)), mult(a, c)), mult(a, b)) = mult(mult(c, mult(mult(a, b), a)), mult(mult(a, c), mult(a, b))))))) | (~((~(mult(mult(mult(c, mult(mult(a, b), a)), mult(a, b)), mult(a, c)) = mult(mult(c, mult(mult(a, b), a)), mult(mult(a, c), mult(a, b))))) | (~(mult(mult(mult(c, mult(mult(a, b), a)), mult(a, c)), mult(a, b)) = mult(mult(c, mult(mult(a, b), a)), mult(mult(a, b), mult(a, c))))))))) <=> ((~![X0: $i, X1: $i, X2: $i] : ((~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X2, X1)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X1, X2)))))) | (~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X1, X2)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X2, X1)))))))) | (~((~(mult(mult(mult(c, mult(mult(a, b), a)), mult(a, b)), mult(a, c)) = mult(mult(c, mult(mult(a, b), a)), mult(mult(a, b), mult(a, c))))) | (~(mult(mult(mult(c, mult(mult(a, b), a)), mult(a, c)), mult(a, b)) = mult(mult(c, mult(mult(a, b), a)), mult(mult(a, c), mult(a, b))))))) | (~((~(mult(mult(mult(c, mult(mult(a, b), a)), mult(a, b)), mult(a, c)) = mult(mult(c, mult(mult(a, b), a)), mult(mult(a, c), mult(a, b))))) | (~(mult(mult(mult(c, mult(mult(a, b), a)), mult(a, c)), mult(a, b)) = mult(mult(c, mult(mult(a, b), a)), mult(mult(a, b), mult(a, c))))))))),
% 5.89/6.15 inference(rewrite,[status(thm)],[])).
% 5.89/6.15 tff(12936,plain,
% 5.89/6.15 (((~((~(mult(mult(mult(c, mult(mult(a, b), a)), mult(a, b)), mult(a, c)) = mult(mult(c, mult(mult(a, b), a)), mult(mult(a, c), mult(a, b))))) | (~(mult(mult(mult(c, mult(mult(a, b), a)), mult(a, c)), mult(a, b)) = mult(mult(c, mult(mult(a, b), a)), mult(mult(a, b), mult(a, c))))))) | (~((~(mult(mult(mult(c, mult(mult(a, b), a)), mult(a, b)), mult(a, c)) = mult(mult(c, mult(mult(a, b), a)), mult(mult(a, b), mult(a, c))))) | (~(mult(mult(mult(c, mult(mult(a, b), a)), mult(a, c)), mult(a, b)) = mult(mult(c, mult(mult(a, b), a)), mult(mult(a, c), mult(a, b)))))))) <=> ((~((~(mult(mult(mult(c, mult(mult(a, b), a)), mult(a, b)), mult(a, c)) = mult(mult(c, mult(mult(a, b), a)), mult(mult(a, b), mult(a, c))))) | (~(mult(mult(mult(c, mult(mult(a, b), a)), mult(a, c)), mult(a, b)) = mult(mult(c, mult(mult(a, b), a)), mult(mult(a, c), mult(a, b))))))) | (~((~(mult(mult(mult(c, mult(mult(a, b), a)), mult(a, b)), mult(a, c)) = mult(mult(c, mult(mult(a, b), a)), mult(mult(a, c), mult(a, b))))) | (~(mult(mult(mult(c, mult(mult(a, b), a)), mult(a, c)), mult(a, b)) = mult(mult(c, mult(mult(a, b), a)), mult(mult(a, b), mult(a, c))))))))),
% 5.89/6.15 inference(rewrite,[status(thm)],[])).
% 5.89/6.15 tff(12937,plain,
% 5.89/6.15 (((~![X0: $i, X1: $i, X2: $i] : ((~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X2, X1)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X1, X2)))))) | (~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X1, X2)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X2, X1)))))))) | ((~((~(mult(mult(mult(c, mult(mult(a, b), a)), mult(a, b)), mult(a, c)) = mult(mult(c, mult(mult(a, b), a)), mult(mult(a, c), mult(a, b))))) | (~(mult(mult(mult(c, mult(mult(a, b), a)), mult(a, c)), mult(a, b)) = mult(mult(c, mult(mult(a, b), a)), mult(mult(a, b), mult(a, c))))))) | (~((~(mult(mult(mult(c, mult(mult(a, b), a)), mult(a, b)), mult(a, c)) = mult(mult(c, mult(mult(a, b), a)), mult(mult(a, b), mult(a, c))))) | (~(mult(mult(mult(c, mult(mult(a, b), a)), mult(a, c)), mult(a, b)) = mult(mult(c, mult(mult(a, b), a)), mult(mult(a, c), mult(a, b))))))))) <=> ((~![X0: $i, X1: $i, X2: $i] : ((~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X2, X1)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X1, X2)))))) | (~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X1, X2)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X2, X1)))))))) | ((~((~(mult(mult(mult(c, mult(mult(a, b), a)), mult(a, b)), mult(a, c)) = mult(mult(c, mult(mult(a, b), a)), mult(mult(a, b), mult(a, c))))) | (~(mult(mult(mult(c, mult(mult(a, b), a)), mult(a, c)), mult(a, b)) = mult(mult(c, mult(mult(a, b), a)), mult(mult(a, c), mult(a, b))))))) | (~((~(mult(mult(mult(c, mult(mult(a, b), a)), mult(a, b)), mult(a, c)) = mult(mult(c, mult(mult(a, b), a)), mult(mult(a, c), mult(a, b))))) | (~(mult(mult(mult(c, mult(mult(a, b), a)), mult(a, c)), mult(a, b)) = mult(mult(c, mult(mult(a, b), a)), mult(mult(a, b), mult(a, c)))))))))),
% 5.89/6.15 inference(monotonicity,[status(thm)],[12936])).
% 5.89/6.15 tff(12938,plain,
% 5.89/6.15 (((~![X0: $i, X1: $i, X2: $i] : ((~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X2, X1)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X1, X2)))))) | (~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X1, X2)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X2, X1)))))))) | ((~((~(mult(mult(mult(c, mult(mult(a, b), a)), mult(a, b)), mult(a, c)) = mult(mult(c, mult(mult(a, b), a)), mult(mult(a, c), mult(a, b))))) | (~(mult(mult(mult(c, mult(mult(a, b), a)), mult(a, c)), mult(a, b)) = mult(mult(c, mult(mult(a, b), a)), mult(mult(a, b), mult(a, c))))))) | (~((~(mult(mult(mult(c, mult(mult(a, b), a)), mult(a, b)), mult(a, c)) = mult(mult(c, mult(mult(a, b), a)), mult(mult(a, b), mult(a, c))))) | (~(mult(mult(mult(c, mult(mult(a, b), a)), mult(a, c)), mult(a, b)) = mult(mult(c, mult(mult(a, b), a)), mult(mult(a, c), mult(a, b))))))))) <=> ((~![X0: $i, X1: $i, X2: $i] : ((~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X2, X1)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X1, X2)))))) | (~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X1, X2)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X2, X1)))))))) | (~((~(mult(mult(mult(c, mult(mult(a, b), a)), mult(a, b)), mult(a, c)) = mult(mult(c, mult(mult(a, b), a)), mult(mult(a, b), mult(a, c))))) | (~(mult(mult(mult(c, mult(mult(a, b), a)), mult(a, c)), mult(a, b)) = mult(mult(c, mult(mult(a, b), a)), mult(mult(a, c), mult(a, b))))))) | (~((~(mult(mult(mult(c, mult(mult(a, b), a)), mult(a, b)), mult(a, c)) = mult(mult(c, mult(mult(a, b), a)), mult(mult(a, c), mult(a, b))))) | (~(mult(mult(mult(c, mult(mult(a, b), a)), mult(a, c)), mult(a, b)) = mult(mult(c, mult(mult(a, b), a)), mult(mult(a, b), mult(a, c))))))))),
% 5.89/6.15 inference(transitivity,[status(thm)],[12937, 12935])).
% 5.89/6.15 tff(12939,plain,
% 5.89/6.15 ((~![X0: $i, X1: $i, X2: $i] : ((~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X2, X1)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X1, X2)))))) | (~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X1, X2)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X2, X1)))))))) | ((~((~(mult(mult(mult(c, mult(mult(a, b), a)), mult(a, b)), mult(a, c)) = mult(mult(c, mult(mult(a, b), a)), mult(mult(a, c), mult(a, b))))) | (~(mult(mult(mult(c, mult(mult(a, b), a)), mult(a, c)), mult(a, b)) = mult(mult(c, mult(mult(a, b), a)), mult(mult(a, b), mult(a, c))))))) | (~((~(mult(mult(mult(c, mult(mult(a, b), a)), mult(a, b)), mult(a, c)) = mult(mult(c, mult(mult(a, b), a)), mult(mult(a, b), mult(a, c))))) | (~(mult(mult(mult(c, mult(mult(a, b), a)), mult(a, c)), mult(a, b)) = mult(mult(c, mult(mult(a, b), a)), mult(mult(a, c), mult(a, b))))))))),
% 5.99/6.15 inference(quant_inst,[status(thm)],[])).
% 5.99/6.15 tff(12940,plain,
% 5.99/6.15 ((~![X0: $i, X1: $i, X2: $i] : ((~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X2, X1)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X1, X2)))))) | (~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X1, X2)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X2, X1)))))))) | (~((~(mult(mult(mult(c, mult(mult(a, b), a)), mult(a, b)), mult(a, c)) = mult(mult(c, mult(mult(a, b), a)), mult(mult(a, b), mult(a, c))))) | (~(mult(mult(mult(c, mult(mult(a, b), a)), mult(a, c)), mult(a, b)) = mult(mult(c, mult(mult(a, b), a)), mult(mult(a, c), mult(a, b))))))) | (~((~(mult(mult(mult(c, mult(mult(a, b), a)), mult(a, b)), mult(a, c)) = mult(mult(c, mult(mult(a, b), a)), mult(mult(a, c), mult(a, b))))) | (~(mult(mult(mult(c, mult(mult(a, b), a)), mult(a, c)), mult(a, b)) = mult(mult(c, mult(mult(a, b), a)), mult(mult(a, b), mult(a, c)))))))),
% 5.99/6.15 inference(modus_ponens,[status(thm)],[12939, 12938])).
% 5.99/6.15 tff(12941,plain,
% 5.99/6.15 ((~((~(mult(mult(mult(c, mult(mult(a, b), a)), mult(a, b)), mult(a, c)) = mult(mult(c, mult(mult(a, b), a)), mult(mult(a, b), mult(a, c))))) | (~(mult(mult(mult(c, mult(mult(a, b), a)), mult(a, c)), mult(a, b)) = mult(mult(c, mult(mult(a, b), a)), mult(mult(a, c), mult(a, b))))))) | (~((~(mult(mult(mult(c, mult(mult(a, b), a)), mult(a, b)), mult(a, c)) = mult(mult(c, mult(mult(a, b), a)), mult(mult(a, c), mult(a, b))))) | (~(mult(mult(mult(c, mult(mult(a, b), a)), mult(a, c)), mult(a, b)) = mult(mult(c, mult(mult(a, b), a)), mult(mult(a, b), mult(a, c)))))))),
% 5.99/6.15 inference(unit_resolution,[status(thm)],[12940, 30])).
% 5.99/6.15 tff(12942,plain,
% 5.99/6.15 (~((~(mult(mult(mult(c, mult(mult(a, b), a)), mult(a, b)), mult(a, c)) = mult(mult(c, mult(mult(a, b), a)), mult(mult(a, c), mult(a, b))))) | (~(mult(mult(mult(c, mult(mult(a, b), a)), mult(a, c)), mult(a, b)) = mult(mult(c, mult(mult(a, b), a)), mult(mult(a, b), mult(a, c))))))),
% 5.99/6.15 inference(unit_resolution,[status(thm)],[12941, 12934])).
% 5.99/6.15 tff(12943,plain,
% 5.99/6.15 (((~(mult(mult(mult(c, mult(mult(a, b), a)), mult(a, b)), mult(a, c)) = mult(mult(c, mult(mult(a, b), a)), mult(mult(a, c), mult(a, b))))) | (~(mult(mult(mult(c, mult(mult(a, b), a)), mult(a, c)), mult(a, b)) = mult(mult(c, mult(mult(a, b), a)), mult(mult(a, b), mult(a, c)))))) | (mult(mult(mult(c, mult(mult(a, b), a)), mult(a, c)), mult(a, b)) = mult(mult(c, mult(mult(a, b), a)), mult(mult(a, b), mult(a, c))))),
% 5.99/6.15 inference(tautology,[status(thm)],[])).
% 5.99/6.15 tff(12944,plain,
% 5.99/6.15 (mult(mult(mult(c, mult(mult(a, b), a)), mult(a, c)), mult(a, b)) = mult(mult(c, mult(mult(a, b), a)), mult(mult(a, b), mult(a, c)))),
% 5.99/6.15 inference(unit_resolution,[status(thm)],[12943, 12942])).
% 5.99/6.15 tff(12945,plain,
% 5.99/6.15 (mult(mult(c, mult(mult(a, b), a)), mult(mult(a, b), mult(a, c))) = mult(mult(mult(c, mult(mult(a, b), a)), mult(a, c)), mult(a, b))),
% 5.99/6.15 inference(symmetry,[status(thm)],[12944])).
% 5.99/6.15 tff(12946,plain,
% 5.99/6.15 (mult(mult(c, mult(mult(a, b), a)), mult(mult(a, b), mult(a, c))) = mult(mult(mult(a, c), mult(b, a)), mult(mult(a, b), mult(a, c)))),
% 5.99/6.15 inference(monotonicity,[status(thm)],[12885])).
% 5.99/6.15 tff(12947,plain,
% 5.99/6.15 (mult(mult(mult(a, c), mult(b, a)), mult(mult(a, b), mult(a, c))) = mult(mult(c, mult(mult(a, b), a)), mult(mult(a, b), mult(a, c)))),
% 5.99/6.15 inference(symmetry,[status(thm)],[12946])).
% 5.99/6.15 tff(12948,plain,
% 5.99/6.15 (ld(mult(b, a), mult(mult(b, a), mult(mult(mult(a, b), c), a))) = ld(mult(b, a), mult(mult(b, a), mult(c, mult(mult(a, b), a))))),
% 5.99/6.15 inference(symmetry,[status(thm)],[12841])).
% 5.99/6.15 tff(12949,plain,
% 5.99/6.15 (mult(mult(mult(a, b), c), a) = ld(mult(b, a), mult(mult(b, a), mult(mult(mult(a, b), c), a)))),
% 5.99/6.15 inference(symmetry,[status(thm)],[12765])).
% 5.99/6.15 tff(12950,plain,
% 5.99/6.15 (mult(mult(a, b), mult(a, c)) = mult(a, mult(mult(c, a), b))),
% 5.99/6.15 inference(transitivity,[status(thm)],[403, 12949, 12948, 12865, 11133])).
% 5.99/6.15 tff(12951,plain,
% 5.99/6.15 (mult(mult(a, c), mult(b, a)) = mult(mult(a, mult(c, a)), b)),
% 5.99/6.15 inference(transitivity,[status(thm)],[10728, 1282, 983])).
% 5.99/6.15 tff(12952,plain,
% 5.99/6.15 (mult(mult(mult(a, c), mult(b, a)), mult(mult(a, b), mult(a, c))) = mult(mult(mult(a, mult(c, a)), b), mult(a, mult(mult(c, a), b)))),
% 5.99/6.15 inference(monotonicity,[status(thm)],[12951, 12950])).
% 5.99/6.15 tff(12953,plain,
% 5.99/6.15 (mult(mult(mult(a, mult(c, a)), b), mult(a, mult(mult(c, a), b))) = mult(mult(mult(a, c), mult(b, a)), mult(mult(a, b), mult(a, c)))),
% 5.99/6.15 inference(symmetry,[status(thm)],[12952])).
% 5.99/6.15 tff(12954,plain,
% 5.99/6.15 (mult(mult(mult(a, b), c), a) = mult(a, mult(mult(c, a), b))),
% 5.99/6.15 inference(transitivity,[status(thm)],[12949, 12948, 12865, 11133])).
% 5.99/6.15 tff(12955,plain,
% 5.99/6.15 (mult(mult(mult(a, b), c), a) = mult(mult(a, mult(c, a)), b)),
% 5.99/6.15 inference(transitivity,[status(thm)],[12949, 12948, 12865, 11133, 983])).
% 5.99/6.15 tff(12956,plain,
% 5.99/6.15 (mult(mult(mult(mult(a, b), c), a), mult(mult(mult(a, b), c), a)) = mult(mult(mult(a, mult(c, a)), b), mult(a, mult(mult(c, a), b)))),
% 5.99/6.15 inference(monotonicity,[status(thm)],[12955, 12954])).
% 5.99/6.15 tff(12957,plain,
% 5.99/6.15 (mult(mult(mult(mult(a, b), c), a), mult(mult(mult(a, b), c), a)) = mult(mult(mult(mult(c, a), b), mult(mult(a, mult(a, c)), a)), b)),
% 5.99/6.15 inference(transitivity,[status(thm)],[12956, 12953, 12947, 12945, 12884, 12877, 12875])).
% 5.99/6.15 tff(12958,plain,
% 5.99/6.15 ((mult(mult(mult(mult(a, b), c), a), mult(mult(mult(a, b), c), a)) = mult(mult(mult(a, b), c), mult(mult(mult(mult(a, b), c), a), a))) <=> (mult(mult(mult(mult(c, a), b), mult(mult(a, mult(a, c)), a)), b) = mult(mult(mult(c, a), b), mult(mult(mult(a, mult(a, c)), a), b)))),
% 5.99/6.15 inference(monotonicity,[status(thm)],[12957, 12862])).
% 5.99/6.15 tff(12959,plain,
% 5.99/6.15 ((mult(mult(mult(mult(c, a), b), mult(mult(a, mult(a, c)), a)), b) = mult(mult(mult(c, a), b), mult(mult(mult(a, mult(a, c)), a), b))) <=> (mult(mult(mult(mult(a, b), c), a), mult(mult(mult(a, b), c), a)) = mult(mult(mult(a, b), c), mult(mult(mult(mult(a, b), c), a), a)))),
% 5.99/6.15 inference(symmetry,[status(thm)],[12958])).
% 5.99/6.15 tff(12960,plain,
% 5.99/6.15 ((mult(mult(mult(a, c), mult(b, a)), mult(mult(a, c), mult(b, a))) = mult(mult(mult(mult(a, c), mult(b, a)), mult(a, c)), mult(b, a))) <=> (mult(mult(mult(mult(a, c), mult(b, a)), mult(a, c)), mult(b, a)) = mult(mult(mult(a, c), mult(b, a)), mult(mult(a, c), mult(b, a))))),
% 5.99/6.15 inference(commutativity,[status(thm)],[])).
% 5.99/6.15 tff(12961,plain,
% 5.99/6.15 (((~(mult(mult(mult(c, mult(mult(a, b), a)), mult(a, b)), mult(a, c)) = mult(mult(c, mult(mult(a, b), a)), mult(mult(a, c), mult(a, b))))) | (~(mult(mult(mult(c, mult(mult(a, b), a)), mult(a, c)), mult(a, b)) = mult(mult(c, mult(mult(a, b), a)), mult(mult(a, b), mult(a, c)))))) | (mult(mult(mult(c, mult(mult(a, b), a)), mult(a, b)), mult(a, c)) = mult(mult(c, mult(mult(a, b), a)), mult(mult(a, c), mult(a, b))))),
% 5.99/6.15 inference(tautology,[status(thm)],[])).
% 5.99/6.15 tff(12962,plain,
% 5.99/6.15 (mult(mult(mult(c, mult(mult(a, b), a)), mult(a, b)), mult(a, c)) = mult(mult(c, mult(mult(a, b), a)), mult(mult(a, c), mult(a, b)))),
% 5.99/6.15 inference(unit_resolution,[status(thm)],[12961, 12942])).
% 5.99/6.15 tff(12963,plain,
% 5.99/6.15 (mult(mult(a, c), mult(b, a)) = mult(mult(mult(c, a), b), a)),
% 5.99/6.15 inference(transitivity,[status(thm)],[10728, 1282, 11448, 12760, 11130, 2808])).
% 5.99/6.15 tff(12964,plain,
% 5.99/6.15 (mult(mult(mult(a, c), mult(b, a)), mult(a, b)) = mult(mult(mult(mult(c, a), b), a), mult(a, b))),
% 5.99/6.15 inference(monotonicity,[status(thm)],[12963])).
% 5.99/6.15 tff(12965,plain,
% 5.99/6.15 (mult(mult(a, mult(mult(c, a), b)), mult(a, b)) = mult(mult(mult(a, c), mult(b, a)), mult(a, b))),
% 5.99/6.15 inference(monotonicity,[status(thm)],[11070])).
% 5.99/6.15 tff(12966,plain,
% 5.99/6.15 (mult(mult(a, mult(mult(c, a), b)), mult(a, b)) = mult(mult(c, mult(mult(a, b), a)), mult(a, b))),
% 5.99/6.15 inference(transitivity,[status(thm)],[12965, 12964, 4339])).
% 5.99/6.15 tff(12967,plain,
% 5.99/6.15 (mult(mult(mult(a, mult(mult(c, a), b)), mult(a, b)), mult(a, c)) = mult(mult(mult(c, mult(mult(a, b), a)), mult(a, b)), mult(a, c))),
% 5.99/6.15 inference(monotonicity,[status(thm)],[12966])).
% 5.99/6.15 tff(12968,plain,
% 5.99/6.15 (mult(mult(mult(a, c), mult(b, a)), mult(a, b)) = mult(mult(a, mult(mult(c, a), b)), mult(a, b))),
% 5.99/6.16 inference(symmetry,[status(thm)],[12965])).
% 5.99/6.16 tff(12969,plain,
% 5.99/6.16 (mult(mult(mult(mult(c, a), b), a), mult(a, b)) = mult(mult(mult(a, c), mult(b, a)), mult(a, b))),
% 5.99/6.16 inference(symmetry,[status(thm)],[12964])).
% 5.99/6.16 tff(12970,plain,
% 5.99/6.16 (mult(mult(mult(mult(c, a), b), a), mult(a, b)) = mult(mult(mult(mult(a, b), c), a), mult(a, b))),
% 5.99/6.16 inference(monotonicity,[status(thm)],[12858])).
% 5.99/6.16 tff(12971,plain,
% 5.99/6.16 (mult(mult(mult(mult(a, b), c), a), mult(a, b)) = mult(mult(mult(mult(c, a), b), a), mult(a, b))),
% 5.99/6.16 inference(symmetry,[status(thm)],[12970])).
% 5.99/6.16 tff(12972,plain,
% 5.99/6.16 (mult(mult(b, mult(a, c)), mult(mult(a, b), a)) = mult(mult(a, mult(mult(c, a), b)), mult(a, b))),
% 5.99/6.16 inference(transitivity,[status(thm)],[12794, 11547, 11581, 12793, 12777, 12792, 12203, 8736, 7849, 12770, 7202, 11795, 12735, 12971, 12969, 12968])).
% 5.99/6.16 tff(12973,plain,
% 5.99/6.16 (mult(mult(mult(b, mult(a, c)), mult(mult(a, b), a)), mult(a, c)) = mult(mult(mult(a, mult(mult(c, a), b)), mult(a, b)), mult(a, c))),
% 5.99/6.16 inference(monotonicity,[status(thm)],[12972])).
% 5.99/6.16 tff(12974,plain,
% 5.99/6.16 ((~![C: $i, B: $i, A: $i] : (mult(mult(mult(A, B), C), B) = mult(A, mult(mult(B, C), B)))) | (mult(mult(mult(b, mult(a, c)), mult(mult(a, b), a)), mult(a, c)) = mult(b, mult(mult(mult(a, c), mult(mult(a, b), a)), mult(a, c))))),
% 5.99/6.16 inference(quant_inst,[status(thm)],[])).
% 5.99/6.16 tff(12975,plain,
% 5.99/6.16 (mult(mult(mult(b, mult(a, c)), mult(mult(a, b), a)), mult(a, c)) = mult(b, mult(mult(mult(a, c), mult(mult(a, b), a)), mult(a, c)))),
% 5.99/6.16 inference(unit_resolution,[status(thm)],[12974, 860])).
% 5.99/6.16 tff(12976,plain,
% 5.99/6.16 (mult(b, mult(mult(mult(a, c), mult(mult(a, b), a)), mult(a, c))) = mult(mult(mult(b, mult(a, c)), mult(mult(a, b), a)), mult(a, c))),
% 5.99/6.16 inference(symmetry,[status(thm)],[12975])).
% 5.99/6.16 tff(12977,plain,
% 5.99/6.16 (mult(mult(a, c), mult(mult(a, b), a)) = mult(mult(mult(a, c), mult(b, a)), a)),
% 5.99/6.16 inference(transitivity,[status(thm)],[10732, 12262])).
% 5.99/6.16 tff(12978,plain,
% 5.99/6.16 (mult(mult(mult(a, c), mult(mult(a, b), a)), mult(a, c)) = mult(mult(mult(mult(a, c), mult(b, a)), a), mult(a, c))),
% 5.99/6.16 inference(monotonicity,[status(thm)],[12977])).
% 5.99/6.16 tff(12979,plain,
% 5.99/6.16 (mult(mult(mult(mult(a, c), mult(b, a)), a), mult(a, c)) = mult(mult(mult(a, c), mult(mult(a, b), a)), mult(a, c))),
% 5.99/6.16 inference(symmetry,[status(thm)],[12978])).
% 5.99/6.16 tff(12980,plain,
% 5.99/6.16 (mult(mult(mult(a, b), c), a) = mult(a, mult(mult(b, c), a))),
% 5.99/6.16 inference(transitivity,[status(thm)],[12538, 10912])).
% 5.99/6.16 tff(12981,plain,
% 5.99/6.16 (mult(mult(mult(mult(a, b), c), a), a) = mult(mult(a, mult(mult(b, c), a)), a)),
% 5.99/6.16 inference(monotonicity,[status(thm)],[12980])).
% 5.99/6.16 tff(12982,plain,
% 5.99/6.16 (mult(mult(a, mult(mult(b, c), a)), a) = mult(mult(mult(mult(a, b), c), a), a)),
% 5.99/6.16 inference(symmetry,[status(thm)],[12981])).
% 5.99/6.16 tff(12983,plain,
% 5.99/6.16 (mult(a, mult(mult(mult(b, c), a), a)) = mult(mult(a, mult(mult(b, c), a)), a)),
% 5.99/6.16 inference(symmetry,[status(thm)],[12738])).
% 5.99/6.16 tff(12984,plain,
% 5.99/6.16 (mult(mult(mult(b, c), a), a) = mult(b, mult(a, mult(a, c)))),
% 5.99/6.16 inference(transitivity,[status(thm)],[5784, 5328])).
% 5.99/6.16 tff(12985,plain,
% 5.99/6.16 (mult(a, mult(mult(mult(b, c), a), a)) = mult(a, mult(b, mult(a, mult(a, c))))),
% 5.99/6.16 inference(monotonicity,[status(thm)],[12984])).
% 5.99/6.16 tff(12986,plain,
% 5.99/6.16 (mult(a, mult(b, mult(a, mult(a, c)))) = mult(a, mult(mult(mult(b, c), a), a))),
% 5.99/6.16 inference(symmetry,[status(thm)],[12985])).
% 5.99/6.16 tff(12987,plain,
% 5.99/6.16 (mult(a, mult(b, mult(a, mult(a, c)))) = mult(mult(mult(a, c), mult(b, a)), a)),
% 5.99/6.16 inference(transitivity,[status(thm)],[12986, 12983, 12982, 12856, 12850, 5500, 12847, 12844, 11036, 11035, 10732, 12262])).
% 5.99/6.16 tff(12988,plain,
% 5.99/6.16 (mult(mult(a, mult(b, mult(a, mult(a, c)))), mult(a, c)) = mult(mult(mult(mult(a, c), mult(b, a)), a), mult(a, c))),
% 5.99/6.16 inference(monotonicity,[status(thm)],[12987])).
% 5.99/6.16 tff(12989,plain,
% 5.99/6.16 (mult(mult(a, mult(b, mult(a, mult(a, c)))), mult(a, c)) = mult(mult(mult(a, c), mult(mult(a, b), a)), mult(a, c))),
% 5.99/6.16 inference(transitivity,[status(thm)],[12988, 12979])).
% 5.99/6.16 tff(12990,plain,
% 5.99/6.16 (mult(b, mult(mult(a, mult(b, mult(a, mult(a, c)))), mult(a, c))) = mult(b, mult(mult(mult(a, c), mult(mult(a, b), a)), mult(a, c)))),
% 5.99/6.16 inference(monotonicity,[status(thm)],[12989])).
% 5.99/6.16 tff(12991,plain,
% 5.99/6.16 (mult(b, mult(mult(a, mult(b, mult(a, mult(a, c)))), mult(a, c))) = mult(mult(mult(mult(a, c), mult(b, a)), mult(a, c)), mult(b, a))),
% 5.99/6.16 inference(transitivity,[status(thm)],[12990, 12976, 12973, 12967, 12962, 12886, 12898, 12925, 8737, 8759])).
% 5.99/6.16 tff(12992,plain,
% 5.99/6.16 (mult(mult(mult(a, mult(c, a)), b), mult(a, mult(mult(c, a), b))) = mult(mult(mult(a, c), mult(b, a)), mult(mult(a, c), mult(b, a)))),
% 5.99/6.16 inference(monotonicity,[status(thm)],[12863, 11070])).
% 5.99/6.16 tff(12993,plain,
% 5.99/6.16 (mult(mult(mult(a, c), mult(b, a)), mult(mult(a, c), mult(b, a))) = mult(mult(mult(a, mult(c, a)), b), mult(a, mult(mult(c, a), b)))),
% 5.99/6.16 inference(symmetry,[status(thm)],[12992])).
% 5.99/6.16 tff(12994,plain,
% 5.99/6.16 (mult(mult(mult(a, c), mult(b, a)), mult(mult(a, c), mult(b, a))) = mult(mult(mult(mult(mult(a, c), mult(b, a)), mult(a, c)), a), b)),
% 5.99/6.16 inference(transitivity,[status(thm)],[12993, 12953, 12947, 12945, 12884, 12877])).
% 5.99/6.16 tff(12995,plain,
% 5.99/6.16 ((mult(mult(mult(mult(a, c), mult(b, a)), mult(a, c)), mult(b, a)) = mult(mult(mult(a, c), mult(b, a)), mult(mult(a, c), mult(b, a)))) <=> (mult(mult(mult(mult(a, c), mult(b, a)), mult(a, c)), mult(b, a)) = mult(mult(mult(mult(mult(a, c), mult(b, a)), mult(a, c)), a), b))),
% 5.99/6.16 inference(monotonicity,[status(thm)],[12994])).
% 5.99/6.16 tff(12996,plain,
% 5.99/6.16 ((mult(mult(mult(mult(a, c), mult(b, a)), mult(a, c)), mult(b, a)) = mult(mult(mult(a, c), mult(b, a)), mult(mult(a, c), mult(b, a)))) <=> (mult(mult(mult(mult(mult(a, c), mult(b, a)), mult(a, c)), a), b) = mult(mult(mult(mult(a, c), mult(b, a)), mult(a, c)), mult(b, a)))),
% 5.99/6.16 inference(transitivity,[status(thm)],[12995, 6841])).
% 5.99/6.16 tff(12997,plain,
% 5.99/6.16 ((mult(mult(mult(mult(mult(a, c), mult(b, a)), mult(a, c)), a), b) = mult(mult(mult(mult(a, c), mult(b, a)), mult(a, c)), mult(b, a))) <=> (mult(mult(mult(mult(a, c), mult(b, a)), mult(a, c)), mult(b, a)) = mult(mult(mult(a, c), mult(b, a)), mult(mult(a, c), mult(b, a))))),
% 5.99/6.16 inference(symmetry,[status(thm)],[12996])).
% 5.99/6.16 tff(12998,plain,
% 5.99/6.16 ((~(mult(mult(mult(mult(mult(a, c), mult(b, a)), mult(a, c)), a), b) = mult(mult(mult(mult(a, c), mult(b, a)), mult(a, c)), mult(b, a)))) <=> (~(mult(mult(mult(mult(a, c), mult(b, a)), mult(a, c)), mult(b, a)) = mult(mult(mult(a, c), mult(b, a)), mult(mult(a, c), mult(b, a)))))),
% 5.99/6.16 inference(monotonicity,[status(thm)],[12997])).
% 5.99/6.16 tff(12999,plain,
% 5.99/6.16 (~(mult(mult(mult(mult(a, c), mult(b, a)), mult(a, c)), mult(b, a)) = mult(mult(mult(a, c), mult(b, a)), mult(mult(a, c), mult(b, a))))),
% 5.99/6.16 inference(modus_ponens,[status(thm)],[6808, 12998])).
% 5.99/6.16 tff(13000,plain,
% 5.99/6.16 ((~(mult(mult(mult(mult(a, c), mult(b, a)), mult(a, c)), mult(b, a)) = mult(mult(mult(a, c), mult(b, a)), mult(mult(a, c), mult(b, a))))) | (~(mult(mult(mult(mult(a, c), mult(b, a)), mult(b, a)), mult(a, c)) = mult(mult(mult(a, c), mult(b, a)), mult(mult(b, a), mult(a, c)))))),
% 5.99/6.16 inference(unit_resolution,[status(thm)],[7045, 12999])).
% 5.99/6.16 tff(13001,plain,
% 5.99/6.16 (~((~(mult(mult(mult(mult(a, c), mult(b, a)), mult(b, a)), mult(a, c)) = mult(mult(mult(a, c), mult(b, a)), mult(mult(a, c), mult(b, a))))) | (~(mult(mult(mult(mult(a, c), mult(b, a)), mult(a, c)), mult(b, a)) = mult(mult(mult(a, c), mult(b, a)), mult(mult(b, a), mult(a, c))))))),
% 5.99/6.16 inference(unit_resolution,[status(thm)],[7043, 13000])).
% 5.99/6.16 tff(13002,plain,
% 5.99/6.16 (((~(mult(mult(mult(mult(a, c), mult(b, a)), mult(b, a)), mult(a, c)) = mult(mult(mult(a, c), mult(b, a)), mult(mult(a, c), mult(b, a))))) | (~(mult(mult(mult(mult(a, c), mult(b, a)), mult(a, c)), mult(b, a)) = mult(mult(mult(a, c), mult(b, a)), mult(mult(b, a), mult(a, c)))))) | (mult(mult(mult(mult(a, c), mult(b, a)), mult(b, a)), mult(a, c)) = mult(mult(mult(a, c), mult(b, a)), mult(mult(a, c), mult(b, a))))),
% 5.99/6.16 inference(tautology,[status(thm)],[])).
% 5.99/6.16 tff(13003,plain,
% 5.99/6.16 (mult(mult(mult(mult(a, c), mult(b, a)), mult(b, a)), mult(a, c)) = mult(mult(mult(a, c), mult(b, a)), mult(mult(a, c), mult(b, a)))),
% 5.99/6.16 inference(unit_resolution,[status(thm)],[13002, 13001])).
% 5.99/6.16 tff(13004,plain,
% 5.99/6.16 (mult(mult(mult(a, c), mult(b, a)), mult(b, a)) = mult(mult(a, mult(mult(c, a), b)), mult(b, a))),
% 5.99/6.16 inference(monotonicity,[status(thm)],[11963])).
% 5.99/6.16 tff(13005,plain,
% 5.99/6.16 (mult(mult(a, mult(mult(c, a), b)), mult(b, a)) = mult(mult(mult(a, c), mult(b, a)), mult(b, a))),
% 5.99/6.16 inference(symmetry,[status(thm)],[13004])).
% 5.99/6.16 tff(13006,plain,
% 5.99/6.16 (mult(a, mult(mult(c, a), b)) = mult(c, mult(mult(a, b), a))),
% 5.99/6.16 inference(transitivity,[status(thm)],[11448, 12760, 11130])).
% 5.99/6.16 tff(13007,plain,
% 5.99/6.16 (mult(mult(a, mult(mult(c, a), b)), mult(b, a)) = mult(mult(c, mult(mult(a, b), a)), mult(b, a))),
% 5.99/6.16 inference(monotonicity,[status(thm)],[13006])).
% 5.99/6.16 tff(13008,plain,
% 5.99/6.16 (mult(mult(c, mult(mult(a, b), a)), mult(b, a)) = mult(mult(a, mult(mult(c, a), b)), mult(b, a))),
% 5.99/6.16 inference(symmetry,[status(thm)],[13007])).
% 5.99/6.16 tff(13009,plain,
% 5.99/6.16 (mult(c, mult(mult(a, b), a)) = mult(mult(mult(a, b), c), a)),
% 5.99/6.16 inference(transitivity,[status(thm)],[12145, 12841, 12765])).
% 5.99/6.16 tff(13010,plain,
% 5.99/6.16 (mult(mult(c, mult(mult(a, b), a)), mult(b, a)) = mult(mult(mult(mult(a, b), c), a), mult(b, a))),
% 5.99/6.16 inference(monotonicity,[status(thm)],[13009])).
% 5.99/6.16 tff(13011,plain,
% 5.99/6.16 (mult(mult(mult(mult(a, b), c), a), mult(b, a)) = mult(mult(c, mult(mult(a, b), a)), mult(b, a))),
% 5.99/6.16 inference(symmetry,[status(thm)],[13010])).
% 5.99/6.16 tff(13012,plain,
% 5.99/6.16 (mult(mult(mult(a, b), c), mult(a, a)) = mult(mult(mult(mult(a, b), c), a), a)),
% 5.99/6.16 inference(symmetry,[status(thm)],[12398])).
% 5.99/6.16 tff(13013,plain,
% 5.99/6.16 (mult(b, mult(a, c)) = mult(a, mult(b, c))),
% 5.99/6.16 inference(transitivity,[status(thm)],[5317, 11204, 12796, 11920, 8959])).
% 5.99/6.16 tff(13014,plain,
% 5.99/6.16 (mult(mult(b, mult(a, c)), mult(a, a)) = mult(mult(a, mult(b, c)), mult(a, a))),
% 5.99/6.16 inference(monotonicity,[status(thm)],[13013])).
% 5.99/6.16 tff(13015,plain,
% 5.99/6.16 (mult(b, mult(a, mult(a, c))) = mult(mult(mult(b, c), a), a)),
% 5.99/6.16 inference(transitivity,[status(thm)],[5329, 5318])).
% 5.99/6.16 tff(13016,plain,
% 5.99/6.16 (mult(mult(b, mult(a, mult(a, c))), a) = mult(mult(mult(mult(b, c), a), a), a)),
% 5.99/6.16 inference(monotonicity,[status(thm)],[13015])).
% 5.99/6.16 tff(13017,plain,
% 5.99/6.16 (mult(b, mult(a, mult(a, mult(a, c)))) = mult(mult(mult(mult(a, b), c), a), a)),
% 5.99/6.16 inference(transitivity,[status(thm)],[12407, 13016, 12355, 12357, 13014, 12384, 13012])).
% 5.99/6.16 tff(13018,plain,
% 5.99/6.16 (mult(mult(b, mult(a, mult(a, mult(a, c)))), b) = mult(mult(mult(mult(mult(a, b), c), a), a), b)),
% 5.99/6.16 inference(monotonicity,[status(thm)],[13017])).
% 5.99/6.16 tff(13019,plain,
% 5.99/6.16 (mult(mult(mult(a, a), b), mult(c, a)) = mult(mult(mult(mult(a, b), a), c), a)),
% 5.99/6.16 inference(transitivity,[status(thm)],[12487, 12438, 12683, 11100, 12185, 12184])).
% 5.99/6.16 tff(13020,plain,
% 5.99/6.16 (mult(b, mult(mult(mult(a, a), b), mult(c, a))) = mult(b, mult(mult(mult(mult(a, b), a), c), a))),
% 5.99/6.16 inference(monotonicity,[status(thm)],[13019])).
% 5.99/6.16 tff(13021,plain,
% 5.99/6.16 (mult(a, mult(mult(mult(a, b), a), c)) = mult(mult(a, mult(mult(a, b), a)), c)),
% 5.99/6.16 inference(symmetry,[status(thm)],[12683])).
% 5.99/6.16 tff(13022,plain,
% 5.99/6.16 (mult(a, mult(a, mult(c, b))) = mult(mult(b, a), mult(a, c))),
% 5.99/6.16 inference(transitivity,[status(thm)],[8186, 11378, 12892, 11251])).
% 5.99/6.16 tff(13023,plain,
% 5.99/6.16 (mult(a, mult(a, mult(a, mult(c, b)))) = mult(a, mult(mult(b, a), mult(a, c)))),
% 5.99/6.16 inference(monotonicity,[status(thm)],[13022])).
% 5.99/6.16 tff(13024,plain,
% 5.99/6.16 (mult(mult(a, mult(a, mult(a, c))), b) = mult(mult(mult(a, a), b), mult(c, a))),
% 5.99/6.16 inference(transitivity,[status(thm)],[10727, 12433, 13023, 11306, 11015, 11017, 11097, 12183, 11969, 11099, 13021, 12439, 12437])).
% 5.99/6.16 tff(13025,plain,
% 5.99/6.16 (mult(b, mult(mult(a, mult(a, mult(a, c))), b)) = mult(b, mult(mult(mult(a, a), b), mult(c, a)))),
% 5.99/6.16 inference(monotonicity,[status(thm)],[13024])).
% 5.99/6.16 tff(13026,plain,
% 5.99/6.16 (mult(b, mult(mult(a, mult(a, mult(a, c))), b)) = mult(mult(mult(mult(mult(a, b), c), a), b), a)),
% 5.99/6.16 inference(transitivity,[status(thm)],[13025, 13020, 11581, 12793, 12777, 12792, 12203, 8736, 7849, 12770, 7202, 11795])).
% 5.99/6.16 tff(13027,plain,
% 5.99/6.16 (mult(mult(b, mult(a, mult(a, mult(a, c)))), b) = mult(mult(mult(mult(a, b), c), a), mult(b, a))),
% 5.99/6.16 inference(transitivity,[status(thm)],[13018, 12330])).
% 5.99/6.16 tff(13028,plain,
% 5.99/6.16 ((mult(mult(b, mult(a, mult(a, mult(a, c)))), b) = mult(b, mult(mult(a, mult(a, mult(a, c))), b))) <=> (mult(mult(mult(mult(a, b), c), a), mult(b, a)) = mult(mult(mult(mult(mult(a, b), c), a), b), a))),
% 5.99/6.16 inference(monotonicity,[status(thm)],[13027, 13026])).
% 5.99/6.16 tff(13029,plain,
% 5.99/6.16 ((mult(mult(b, mult(a, mult(a, mult(a, c)))), b) = mult(b, mult(mult(a, mult(a, mult(a, c))), b))) <=> (mult(mult(mult(mult(mult(a, b), c), a), b), a) = mult(mult(mult(mult(a, b), c), a), mult(b, a)))),
% 5.99/6.16 inference(transitivity,[status(thm)],[13028, 7503])).
% 5.99/6.16 tff(13030,plain,
% 5.99/6.16 ((mult(mult(mult(mult(mult(a, b), c), a), b), a) = mult(mult(mult(mult(a, b), c), a), mult(b, a))) <=> (mult(mult(b, mult(a, mult(a, mult(a, c)))), b) = mult(b, mult(mult(a, mult(a, mult(a, c))), b)))),
% 5.99/6.16 inference(symmetry,[status(thm)],[13029])).
% 5.99/6.16 tff(13031,plain,
% 5.99/6.16 ((~(mult(mult(mult(mult(mult(a, b), c), a), b), a) = mult(mult(mult(mult(a, b), c), a), mult(b, a)))) <=> (~(mult(mult(b, mult(a, mult(a, mult(a, c)))), b) = mult(b, mult(mult(a, mult(a, mult(a, c))), b))))),
% 5.99/6.16 inference(monotonicity,[status(thm)],[13030])).
% 5.99/6.16 tff(13032,plain,
% 5.99/6.16 (~(mult(mult(b, mult(a, mult(a, mult(a, c)))), b) = mult(b, mult(mult(a, mult(a, mult(a, c))), b)))),
% 5.99/6.16 inference(modus_ponens,[status(thm)],[12316, 13031])).
% 5.99/6.16 tff(13033,plain,
% 5.99/6.16 ((~(mult(mult(b, b), mult(a, mult(a, mult(a, c)))) = mult(b, mult(b, mult(a, mult(a, mult(a, c))))))) | (~(mult(mult(b, mult(a, mult(a, mult(a, c)))), b) = mult(b, mult(mult(a, mult(a, mult(a, c))), b))))),
% 5.99/6.16 inference(unit_resolution,[status(thm)],[12427, 13032])).
% 5.99/6.16 tff(13034,plain,
% 5.99/6.16 (~((~(mult(mult(b, b), mult(a, mult(a, mult(a, c)))) = mult(b, mult(mult(a, mult(a, mult(a, c))), b)))) | (~(mult(mult(b, mult(a, mult(a, mult(a, c)))), b) = mult(b, mult(b, mult(a, mult(a, mult(a, c))))))))),
% 5.99/6.16 inference(unit_resolution,[status(thm)],[12425, 13033])).
% 5.99/6.16 tff(13035,plain,
% 5.99/6.16 (mult(mult(b, mult(a, mult(a, mult(a, c)))), b) = mult(b, mult(b, mult(a, mult(a, mult(a, c)))))),
% 5.99/6.16 inference(unit_resolution,[status(thm)],[12417, 13034])).
% 5.99/6.16 tff(13036,plain,
% 5.99/6.16 (mult(b, mult(b, mult(a, mult(a, mult(a, c))))) = mult(mult(b, mult(a, mult(a, mult(a, c)))), b)),
% 5.99/6.16 inference(symmetry,[status(thm)],[13035])).
% 5.99/6.16 tff(13037,plain,
% 5.99/6.16 (mult(mult(mult(mult(b, c), a), a), a) = mult(mult(b, mult(a, mult(a, c))), a)),
% 5.99/6.16 inference(symmetry,[status(thm)],[13016])).
% 5.99/6.16 tff(13038,plain,
% 5.99/6.16 (mult(mult(a, mult(b, c)), mult(a, a)) = mult(mult(b, mult(a, c)), mult(a, a))),
% 5.99/6.16 inference(symmetry,[status(thm)],[13014])).
% 5.99/6.16 tff(13039,plain,
% 5.99/6.16 (mult(mult(a, b), mult(a, mult(a, c))) = mult(b, mult(a, mult(a, mult(a, c))))),
% 5.99/6.16 inference(transitivity,[status(thm)],[10565, 12986, 12983, 12982, 12398, 12385, 13038, 12358, 12356, 13037, 11341])).
% 5.99/6.16 tff(13040,plain,
% 5.99/6.16 (mult(b, mult(mult(a, b), mult(a, mult(a, c)))) = mult(b, mult(b, mult(a, mult(a, mult(a, c)))))),
% 5.99/6.16 inference(monotonicity,[status(thm)],[13039])).
% 5.99/6.16 tff(13041,plain,
% 5.99/6.16 (mult(a, mult(b, mult(a, mult(a, c)))) = mult(mult(a, b), mult(a, mult(a, c)))),
% 5.99/6.16 inference(symmetry,[status(thm)],[10565])).
% 5.99/6.16 tff(13042,plain,
% 5.99/6.16 (mult(b, mult(a, mult(b, mult(a, mult(a, c))))) = mult(b, mult(mult(a, b), mult(a, mult(a, c))))),
% 5.99/6.16 inference(monotonicity,[status(thm)],[13041])).
% 5.99/6.16 tff(13043,plain,
% 5.99/6.16 (mult(b, mult(a, mult(b, mult(a, mult(a, c))))) = mult(mult(mult(a, c), mult(b, a)), mult(b, a))),
% 5.99/6.16 inference(transitivity,[status(thm)],[13042, 13040, 13036, 13018, 12330, 13011, 13008, 13005])).
% 5.99/6.16 tff(13044,plain,
% 5.99/6.16 (mult(mult(b, mult(a, mult(b, mult(a, mult(a, c))))), mult(a, c)) = mult(mult(mult(mult(a, c), mult(b, a)), mult(b, a)), mult(a, c))),
% 5.99/6.16 inference(monotonicity,[status(thm)],[13043])).
% 5.99/6.16 tff(13045,plain,
% 5.99/6.16 (mult(mult(b, mult(a, mult(b, mult(a, mult(a, c))))), mult(a, c)) = mult(mult(mult(a, c), mult(b, a)), mult(mult(a, c), mult(b, a)))),
% 5.99/6.16 inference(transitivity,[status(thm)],[13044, 13003])).
% 5.99/6.16 tff(13046,plain,
% 5.99/6.16 ((mult(mult(b, mult(a, mult(b, mult(a, mult(a, c))))), mult(a, c)) = mult(b, mult(mult(a, mult(b, mult(a, mult(a, c)))), mult(a, c)))) <=> (mult(mult(mult(a, c), mult(b, a)), mult(mult(a, c), mult(b, a))) = mult(mult(mult(mult(a, c), mult(b, a)), mult(a, c)), mult(b, a)))),
% 5.99/6.17 inference(monotonicity,[status(thm)],[13045, 12991])).
% 5.99/6.17 tff(13047,plain,
% 5.99/6.17 ((mult(mult(b, mult(a, mult(b, mult(a, mult(a, c))))), mult(a, c)) = mult(b, mult(mult(a, mult(b, mult(a, mult(a, c)))), mult(a, c)))) <=> (mult(mult(mult(mult(a, c), mult(b, a)), mult(a, c)), mult(b, a)) = mult(mult(mult(a, c), mult(b, a)), mult(mult(a, c), mult(b, a))))),
% 5.99/6.17 inference(transitivity,[status(thm)],[13046, 12960])).
% 5.99/6.17 tff(13048,plain,
% 5.99/6.17 ((mult(mult(mult(mult(a, c), mult(b, a)), mult(a, c)), mult(b, a)) = mult(mult(mult(a, c), mult(b, a)), mult(mult(a, c), mult(b, a)))) <=> (mult(mult(b, mult(a, mult(b, mult(a, mult(a, c))))), mult(a, c)) = mult(b, mult(mult(a, mult(b, mult(a, mult(a, c)))), mult(a, c))))),
% 5.99/6.17 inference(symmetry,[status(thm)],[13047])).
% 5.99/6.17 tff(13049,plain,
% 5.99/6.17 ((~(mult(mult(mult(mult(a, c), mult(b, a)), mult(a, c)), mult(b, a)) = mult(mult(mult(a, c), mult(b, a)), mult(mult(a, c), mult(b, a))))) <=> (~(mult(mult(b, mult(a, mult(b, mult(a, mult(a, c))))), mult(a, c)) = mult(b, mult(mult(a, mult(b, mult(a, mult(a, c)))), mult(a, c)))))),
% 5.99/6.17 inference(monotonicity,[status(thm)],[13048])).
% 5.99/6.17 tff(13050,plain,
% 5.99/6.17 (~(mult(mult(b, mult(a, mult(b, mult(a, mult(a, c))))), mult(a, c)) = mult(b, mult(mult(a, mult(b, mult(a, mult(a, c)))), mult(a, c))))),
% 5.99/6.17 inference(modus_ponens,[status(thm)],[12999, 13049])).
% 5.99/6.17 tff(13051,plain,
% 5.99/6.17 (((~(mult(mult(b, mult(a, mult(b, mult(a, mult(a, c))))), mult(a, c)) = mult(b, mult(mult(a, mult(b, mult(a, mult(a, c)))), mult(a, c))))) | (~(mult(mult(b, mult(a, c)), mult(a, mult(b, mult(a, mult(a, c))))) = mult(b, mult(mult(a, c), mult(a, mult(b, mult(a, mult(a, c))))))))) | (mult(mult(b, mult(a, mult(b, mult(a, mult(a, c))))), mult(a, c)) = mult(b, mult(mult(a, mult(b, mult(a, mult(a, c)))), mult(a, c))))),
% 5.99/6.17 inference(tautology,[status(thm)],[])).
% 5.99/6.17 tff(13052,plain,
% 5.99/6.17 ((~(mult(mult(b, mult(a, mult(b, mult(a, mult(a, c))))), mult(a, c)) = mult(b, mult(mult(a, mult(b, mult(a, mult(a, c)))), mult(a, c))))) | (~(mult(mult(b, mult(a, c)), mult(a, mult(b, mult(a, mult(a, c))))) = mult(b, mult(mult(a, c), mult(a, mult(b, mult(a, mult(a, c))))))))),
% 5.99/6.17 inference(unit_resolution,[status(thm)],[13051, 13050])).
% 5.99/6.17 tff(13053,plain,
% 5.99/6.17 (((~![X0: $i, X1: $i, X2: $i] : ((~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X2, X1)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X1, X2)))))) | (~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X1, X2)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X2, X1)))))))) | ((~((~(mult(mult(b, mult(a, mult(b, mult(a, mult(a, c))))), mult(a, c)) = mult(b, mult(mult(a, c), mult(a, mult(b, mult(a, mult(a, c)))))))) | (~(mult(mult(b, mult(a, c)), mult(a, mult(b, mult(a, mult(a, c))))) = mult(b, mult(mult(a, mult(b, mult(a, mult(a, c)))), mult(a, c))))))) | (~((~(mult(mult(b, mult(a, mult(b, mult(a, mult(a, c))))), mult(a, c)) = mult(b, mult(mult(a, mult(b, mult(a, mult(a, c)))), mult(a, c))))) | (~(mult(mult(b, mult(a, c)), mult(a, mult(b, mult(a, mult(a, c))))) = mult(b, mult(mult(a, c), mult(a, mult(b, mult(a, mult(a, c)))))))))))) <=> ((~![X0: $i, X1: $i, X2: $i] : ((~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X2, X1)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X1, X2)))))) | (~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X1, X2)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X2, X1)))))))) | (~((~(mult(mult(b, mult(a, mult(b, mult(a, mult(a, c))))), mult(a, c)) = mult(b, mult(mult(a, c), mult(a, mult(b, mult(a, mult(a, c)))))))) | (~(mult(mult(b, mult(a, c)), mult(a, mult(b, mult(a, mult(a, c))))) = mult(b, mult(mult(a, mult(b, mult(a, mult(a, c)))), mult(a, c))))))) | (~((~(mult(mult(b, mult(a, mult(b, mult(a, mult(a, c))))), mult(a, c)) = mult(b, mult(mult(a, mult(b, mult(a, mult(a, c)))), mult(a, c))))) | (~(mult(mult(b, mult(a, c)), mult(a, mult(b, mult(a, mult(a, c))))) = mult(b, mult(mult(a, c), mult(a, mult(b, mult(a, mult(a, c)))))))))))),
% 5.99/6.17 inference(rewrite,[status(thm)],[])).
% 5.99/6.17 tff(13054,plain,
% 5.99/6.17 ((~![X0: $i, X1: $i, X2: $i] : ((~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X2, X1)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X1, X2)))))) | (~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X1, X2)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X2, X1)))))))) | ((~((~(mult(mult(b, mult(a, mult(b, mult(a, mult(a, c))))), mult(a, c)) = mult(b, mult(mult(a, c), mult(a, mult(b, mult(a, mult(a, c)))))))) | (~(mult(mult(b, mult(a, c)), mult(a, mult(b, mult(a, mult(a, c))))) = mult(b, mult(mult(a, mult(b, mult(a, mult(a, c)))), mult(a, c))))))) | (~((~(mult(mult(b, mult(a, mult(b, mult(a, mult(a, c))))), mult(a, c)) = mult(b, mult(mult(a, mult(b, mult(a, mult(a, c)))), mult(a, c))))) | (~(mult(mult(b, mult(a, c)), mult(a, mult(b, mult(a, mult(a, c))))) = mult(b, mult(mult(a, c), mult(a, mult(b, mult(a, mult(a, c)))))))))))),
% 5.99/6.17 inference(quant_inst,[status(thm)],[])).
% 5.99/6.17 tff(13055,plain,
% 5.99/6.17 ((~![X0: $i, X1: $i, X2: $i] : ((~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X2, X1)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X1, X2)))))) | (~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X1, X2)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X2, X1)))))))) | (~((~(mult(mult(b, mult(a, mult(b, mult(a, mult(a, c))))), mult(a, c)) = mult(b, mult(mult(a, c), mult(a, mult(b, mult(a, mult(a, c)))))))) | (~(mult(mult(b, mult(a, c)), mult(a, mult(b, mult(a, mult(a, c))))) = mult(b, mult(mult(a, mult(b, mult(a, mult(a, c)))), mult(a, c))))))) | (~((~(mult(mult(b, mult(a, mult(b, mult(a, mult(a, c))))), mult(a, c)) = mult(b, mult(mult(a, mult(b, mult(a, mult(a, c)))), mult(a, c))))) | (~(mult(mult(b, mult(a, c)), mult(a, mult(b, mult(a, mult(a, c))))) = mult(b, mult(mult(a, c), mult(a, mult(b, mult(a, mult(a, c))))))))))),
% 5.99/6.17 inference(modus_ponens,[status(thm)],[13054, 13053])).
% 5.99/6.17 tff(13056,plain,
% 5.99/6.17 ((~((~(mult(mult(b, mult(a, mult(b, mult(a, mult(a, c))))), mult(a, c)) = mult(b, mult(mult(a, c), mult(a, mult(b, mult(a, mult(a, c)))))))) | (~(mult(mult(b, mult(a, c)), mult(a, mult(b, mult(a, mult(a, c))))) = mult(b, mult(mult(a, mult(b, mult(a, mult(a, c)))), mult(a, c))))))) | (~((~(mult(mult(b, mult(a, mult(b, mult(a, mult(a, c))))), mult(a, c)) = mult(b, mult(mult(a, mult(b, mult(a, mult(a, c)))), mult(a, c))))) | (~(mult(mult(b, mult(a, c)), mult(a, mult(b, mult(a, mult(a, c))))) = mult(b, mult(mult(a, c), mult(a, mult(b, mult(a, mult(a, c))))))))))),
% 5.99/6.17 inference(unit_resolution,[status(thm)],[13055, 30])).
% 5.99/6.17 tff(13057,plain,
% 5.99/6.17 (~((~(mult(mult(b, mult(a, mult(b, mult(a, mult(a, c))))), mult(a, c)) = mult(b, mult(mult(a, c), mult(a, mult(b, mult(a, mult(a, c)))))))) | (~(mult(mult(b, mult(a, c)), mult(a, mult(b, mult(a, mult(a, c))))) = mult(b, mult(mult(a, mult(b, mult(a, mult(a, c)))), mult(a, c))))))),
% 5.99/6.17 inference(unit_resolution,[status(thm)],[13056, 13052])).
% 5.99/6.17 tff(13058,plain,
% 5.99/6.17 (((~(mult(mult(b, mult(a, mult(b, mult(a, mult(a, c))))), mult(a, c)) = mult(b, mult(mult(a, c), mult(a, mult(b, mult(a, mult(a, c)))))))) | (~(mult(mult(b, mult(a, c)), mult(a, mult(b, mult(a, mult(a, c))))) = mult(b, mult(mult(a, mult(b, mult(a, mult(a, c)))), mult(a, c)))))) | (mult(mult(b, mult(a, c)), mult(a, mult(b, mult(a, mult(a, c))))) = mult(b, mult(mult(a, mult(b, mult(a, mult(a, c)))), mult(a, c))))),
% 5.99/6.17 inference(tautology,[status(thm)],[])).
% 5.99/6.17 tff(13059,plain,
% 5.99/6.17 (mult(mult(b, mult(a, c)), mult(a, mult(b, mult(a, mult(a, c))))) = mult(b, mult(mult(a, mult(b, mult(a, mult(a, c)))), mult(a, c)))),
% 5.99/6.17 inference(unit_resolution,[status(thm)],[13058, 13057])).
% 5.99/6.17 tff(13060,plain,
% 5.99/6.17 (mult(mult(mult(a, mult(a, c)), a), b) = mult(a, mult(b, mult(a, mult(a, c))))),
% 5.99/6.17 inference(transitivity,[status(thm)],[12677, 12679, 11014, 11964, 12762, 12843, 12846, 5637, 12849, 12855, 12981, 12738, 12985])).
% 5.99/6.17 tff(13061,plain,
% 5.99/6.17 (mult(mult(c, a), b) = mult(b, mult(a, c))),
% 5.99/6.17 inference(transitivity,[status(thm)],[5995, 12859, 172, 11921, 12851, 11203, 3433])).
% 5.99/6.17 tff(13062,plain,
% 5.99/6.17 (mult(mult(mult(c, a), b), mult(mult(mult(a, mult(a, c)), a), b)) = mult(mult(b, mult(a, c)), mult(a, mult(b, mult(a, mult(a, c)))))),
% 5.99/6.17 inference(monotonicity,[status(thm)],[13061, 13060])).
% 5.99/6.17 tff(13063,plain,
% 5.99/6.17 (mult(mult(mult(c, a), b), mult(mult(mult(a, mult(a, c)), a), b)) = mult(mult(mult(mult(a, c), mult(b, a)), mult(a, c)), mult(b, a))),
% 5.99/6.17 inference(transitivity,[status(thm)],[13062, 13059, 12990, 12976, 12973, 12967, 12962, 12886, 12898, 12925, 8737, 8759])).
% 5.99/6.17 tff(13064,plain,
% 5.99/6.17 (mult(mult(mult(mult(c, a), b), mult(mult(a, mult(a, c)), a)), b) = mult(mult(mult(a, c), mult(b, a)), mult(mult(a, c), mult(b, a)))),
% 5.99/6.17 inference(transitivity,[status(thm)],[12874, 12876, 12883, 12944, 12946, 12952, 12992])).
% 5.99/6.17 tff(13065,plain,
% 5.99/6.17 ((mult(mult(mult(mult(c, a), b), mult(mult(a, mult(a, c)), a)), b) = mult(mult(mult(c, a), b), mult(mult(mult(a, mult(a, c)), a), b))) <=> (mult(mult(mult(a, c), mult(b, a)), mult(mult(a, c), mult(b, a))) = mult(mult(mult(mult(a, c), mult(b, a)), mult(a, c)), mult(b, a)))),
% 5.99/6.17 inference(monotonicity,[status(thm)],[13064, 13063])).
% 5.99/6.17 tff(13066,plain,
% 5.99/6.17 ((mult(mult(mult(mult(c, a), b), mult(mult(a, mult(a, c)), a)), b) = mult(mult(mult(c, a), b), mult(mult(mult(a, mult(a, c)), a), b))) <=> (mult(mult(mult(mult(a, c), mult(b, a)), mult(a, c)), mult(b, a)) = mult(mult(mult(a, c), mult(b, a)), mult(mult(a, c), mult(b, a))))),
% 5.99/6.17 inference(transitivity,[status(thm)],[13065, 12960])).
% 5.99/6.17 tff(13067,plain,
% 5.99/6.17 ((mult(mult(mult(mult(a, c), mult(b, a)), mult(a, c)), mult(b, a)) = mult(mult(mult(a, c), mult(b, a)), mult(mult(a, c), mult(b, a)))) <=> (mult(mult(mult(mult(c, a), b), mult(mult(a, mult(a, c)), a)), b) = mult(mult(mult(c, a), b), mult(mult(mult(a, mult(a, c)), a), b)))),
% 5.99/6.17 inference(symmetry,[status(thm)],[13066])).
% 5.99/6.17 tff(13068,plain,
% 5.99/6.17 ((mult(mult(mult(mult(a, c), mult(b, a)), mult(a, c)), mult(b, a)) = mult(mult(mult(a, c), mult(b, a)), mult(mult(a, c), mult(b, a)))) <=> (mult(mult(mult(mult(a, b), c), a), mult(mult(mult(a, b), c), a)) = mult(mult(mult(a, b), c), mult(mult(mult(mult(a, b), c), a), a)))),
% 5.99/6.17 inference(transitivity,[status(thm)],[13067, 12959])).
% 5.99/6.17 tff(13069,plain,
% 5.99/6.17 ((~(mult(mult(mult(mult(a, c), mult(b, a)), mult(a, c)), mult(b, a)) = mult(mult(mult(a, c), mult(b, a)), mult(mult(a, c), mult(b, a))))) <=> (~(mult(mult(mult(mult(a, b), c), a), mult(mult(mult(a, b), c), a)) = mult(mult(mult(a, b), c), mult(mult(mult(mult(a, b), c), a), a))))),
% 5.99/6.17 inference(monotonicity,[status(thm)],[13068])).
% 5.99/6.17 tff(13070,plain,
% 5.99/6.17 (~(mult(mult(mult(mult(a, b), c), a), mult(mult(mult(a, b), c), a)) = mult(mult(mult(a, b), c), mult(mult(mult(mult(a, b), c), a), a)))),
% 5.99/6.17 inference(modus_ponens,[status(thm)],[12999, 13069])).
% 5.99/6.17 tff(13071,plain,
% 5.99/6.17 (((~(mult(mult(mult(mult(a, b), c), mult(mult(mult(a, b), c), a)), a) = mult(mult(mult(a, b), c), mult(a, mult(mult(mult(a, b), c), a))))) | (~(mult(mult(mult(mult(a, b), c), a), mult(mult(mult(a, b), c), a)) = mult(mult(mult(a, b), c), mult(mult(mult(mult(a, b), c), a), a))))) | (mult(mult(mult(mult(a, b), c), a), mult(mult(mult(a, b), c), a)) = mult(mult(mult(a, b), c), mult(mult(mult(mult(a, b), c), a), a)))),
% 5.99/6.17 inference(tautology,[status(thm)],[])).
% 5.99/6.17 tff(13072,plain,
% 5.99/6.17 ((~(mult(mult(mult(mult(a, b), c), mult(mult(mult(a, b), c), a)), a) = mult(mult(mult(a, b), c), mult(a, mult(mult(mult(a, b), c), a))))) | (~(mult(mult(mult(mult(a, b), c), a), mult(mult(mult(a, b), c), a)) = mult(mult(mult(a, b), c), mult(mult(mult(mult(a, b), c), a), a))))),
% 5.99/6.17 inference(unit_resolution,[status(thm)],[13071, 13070])).
% 5.99/6.17 tff(13073,plain,
% 5.99/6.17 (mult(a, mult(mult(mult(a, b), c), a)) = mult(a, mult(mult(a, b), mult(a, c)))),
% 5.99/6.17 inference(monotonicity,[status(thm)],[168])).
% 5.99/6.17 tff(13074,plain,
% 5.99/6.17 (mult(a, mult(mult(mult(a, b), c), a)) = mult(mult(mult(a, mult(a, c)), a), b)),
% 5.99/6.17 inference(transitivity,[status(thm)],[13073, 12844, 12763, 12682, 12681, 12680, 12678])).
% 5.99/6.17 tff(13075,plain,
% 5.99/6.17 (mult(mult(mult(a, b), c), mult(a, mult(mult(mult(a, b), c), a))) = mult(mult(mult(c, a), b), mult(mult(mult(a, mult(a, c)), a), b))),
% 5.99/6.17 inference(monotonicity,[status(thm)],[12861, 13074])).
% 5.99/6.17 tff(13076,plain,
% 5.99/6.17 ((mult(mult(mult(mult(a, b), c), a), mult(mult(mult(a, b), c), a)) = mult(mult(mult(a, b), c), mult(a, mult(mult(mult(a, b), c), a)))) <=> (mult(mult(mult(mult(c, a), b), mult(mult(a, mult(a, c)), a)), b) = mult(mult(mult(c, a), b), mult(mult(mult(a, mult(a, c)), a), b)))),
% 5.99/6.18 inference(monotonicity,[status(thm)],[12957, 13075])).
% 5.99/6.18 tff(13077,plain,
% 5.99/6.18 ((mult(mult(mult(mult(c, a), b), mult(mult(a, mult(a, c)), a)), b) = mult(mult(mult(c, a), b), mult(mult(mult(a, mult(a, c)), a), b))) <=> (mult(mult(mult(mult(a, b), c), a), mult(mult(mult(a, b), c), a)) = mult(mult(mult(a, b), c), mult(a, mult(mult(mult(a, b), c), a))))),
% 5.99/6.18 inference(symmetry,[status(thm)],[13076])).
% 5.99/6.18 tff(13078,plain,
% 5.99/6.18 ((mult(mult(mult(mult(a, c), mult(b, a)), mult(a, c)), mult(b, a)) = mult(mult(mult(a, c), mult(b, a)), mult(mult(a, c), mult(b, a)))) <=> (mult(mult(mult(mult(a, b), c), a), mult(mult(mult(a, b), c), a)) = mult(mult(mult(a, b), c), mult(a, mult(mult(mult(a, b), c), a))))),
% 5.99/6.18 inference(transitivity,[status(thm)],[13067, 13077])).
% 5.99/6.18 tff(13079,plain,
% 5.99/6.18 ((~(mult(mult(mult(mult(a, c), mult(b, a)), mult(a, c)), mult(b, a)) = mult(mult(mult(a, c), mult(b, a)), mult(mult(a, c), mult(b, a))))) <=> (~(mult(mult(mult(mult(a, b), c), a), mult(mult(mult(a, b), c), a)) = mult(mult(mult(a, b), c), mult(a, mult(mult(mult(a, b), c), a)))))),
% 5.99/6.18 inference(monotonicity,[status(thm)],[13078])).
% 5.99/6.18 tff(13080,plain,
% 5.99/6.18 (~(mult(mult(mult(mult(a, b), c), a), mult(mult(mult(a, b), c), a)) = mult(mult(mult(a, b), c), mult(a, mult(mult(mult(a, b), c), a))))),
% 5.99/6.18 inference(modus_ponens,[status(thm)],[12999, 13079])).
% 5.99/6.18 tff(13081,plain,
% 5.99/6.18 (((~(mult(mult(mult(mult(a, b), c), a), mult(mult(mult(a, b), c), a)) = mult(mult(mult(a, b), c), mult(a, mult(mult(mult(a, b), c), a))))) | (~(mult(mult(mult(mult(a, b), c), mult(mult(mult(a, b), c), a)), a) = mult(mult(mult(a, b), c), mult(mult(mult(mult(a, b), c), a), a))))) | (mult(mult(mult(mult(a, b), c), a), mult(mult(mult(a, b), c), a)) = mult(mult(mult(a, b), c), mult(a, mult(mult(mult(a, b), c), a))))),
% 5.99/6.18 inference(tautology,[status(thm)],[])).
% 5.99/6.18 tff(13082,plain,
% 5.99/6.18 ((~(mult(mult(mult(mult(a, b), c), a), mult(mult(mult(a, b), c), a)) = mult(mult(mult(a, b), c), mult(a, mult(mult(mult(a, b), c), a))))) | (~(mult(mult(mult(mult(a, b), c), mult(mult(mult(a, b), c), a)), a) = mult(mult(mult(a, b), c), mult(mult(mult(mult(a, b), c), a), a))))),
% 5.99/6.18 inference(unit_resolution,[status(thm)],[13081, 13080])).
% 5.99/6.18 tff(13083,plain,
% 5.99/6.18 (((~![X0: $i, X1: $i, X2: $i] : ((~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X2, X1)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X1, X2)))))) | (~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X1, X2)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X2, X1)))))))) | ((~((~(mult(mult(mult(mult(a, b), c), mult(mult(mult(a, b), c), a)), a) = mult(mult(mult(a, b), c), mult(a, mult(mult(mult(a, b), c), a))))) | (~(mult(mult(mult(mult(a, b), c), a), mult(mult(mult(a, b), c), a)) = mult(mult(mult(a, b), c), mult(mult(mult(mult(a, b), c), a), a)))))) | (~((~(mult(mult(mult(mult(a, b), c), a), mult(mult(mult(a, b), c), a)) = mult(mult(mult(a, b), c), mult(a, mult(mult(mult(a, b), c), a))))) | (~(mult(mult(mult(mult(a, b), c), mult(mult(mult(a, b), c), a)), a) = mult(mult(mult(a, b), c), mult(mult(mult(mult(a, b), c), a), a)))))))) <=> ((~![X0: $i, X1: $i, X2: $i] : ((~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X2, X1)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X1, X2)))))) | (~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X1, X2)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X2, X1)))))))) | (~((~(mult(mult(mult(mult(a, b), c), mult(mult(mult(a, b), c), a)), a) = mult(mult(mult(a, b), c), mult(a, mult(mult(mult(a, b), c), a))))) | (~(mult(mult(mult(mult(a, b), c), a), mult(mult(mult(a, b), c), a)) = mult(mult(mult(a, b), c), mult(mult(mult(mult(a, b), c), a), a)))))) | (~((~(mult(mult(mult(mult(a, b), c), a), mult(mult(mult(a, b), c), a)) = mult(mult(mult(a, b), c), mult(a, mult(mult(mult(a, b), c), a))))) | (~(mult(mult(mult(mult(a, b), c), mult(mult(mult(a, b), c), a)), a) = mult(mult(mult(a, b), c), mult(mult(mult(mult(a, b), c), a), a)))))))),
% 5.99/6.18 inference(rewrite,[status(thm)],[])).
% 5.99/6.18 tff(13084,plain,
% 5.99/6.18 (((~((~(mult(mult(mult(mult(a, b), c), mult(mult(mult(a, b), c), a)), a) = mult(mult(mult(a, b), c), mult(a, mult(mult(mult(a, b), c), a))))) | (~(mult(mult(mult(mult(a, b), c), a), mult(mult(mult(a, b), c), a)) = mult(mult(mult(a, b), c), mult(mult(mult(mult(a, b), c), a), a)))))) | (~((~(mult(mult(mult(mult(a, b), c), a), mult(mult(mult(a, b), c), a)) = mult(mult(mult(a, b), c), mult(a, mult(mult(mult(a, b), c), a))))) | (~(mult(mult(mult(mult(a, b), c), mult(mult(mult(a, b), c), a)), a) = mult(mult(mult(a, b), c), mult(mult(mult(mult(a, b), c), a), a))))))) <=> ((~((~(mult(mult(mult(mult(a, b), c), mult(mult(mult(a, b), c), a)), a) = mult(mult(mult(a, b), c), mult(a, mult(mult(mult(a, b), c), a))))) | (~(mult(mult(mult(mult(a, b), c), a), mult(mult(mult(a, b), c), a)) = mult(mult(mult(a, b), c), mult(mult(mult(mult(a, b), c), a), a)))))) | (~((~(mult(mult(mult(mult(a, b), c), a), mult(mult(mult(a, b), c), a)) = mult(mult(mult(a, b), c), mult(a, mult(mult(mult(a, b), c), a))))) | (~(mult(mult(mult(mult(a, b), c), mult(mult(mult(a, b), c), a)), a) = mult(mult(mult(a, b), c), mult(mult(mult(mult(a, b), c), a), a)))))))),
% 5.99/6.18 inference(rewrite,[status(thm)],[])).
% 5.99/6.18 tff(13085,plain,
% 5.99/6.18 ((~((~(mult(mult(mult(mult(a, b), c), mult(mult(mult(a, b), c), a)), a) = mult(mult(mult(a, b), c), mult(mult(mult(mult(a, b), c), a), a)))) | (~(mult(mult(mult(mult(a, b), c), a), mult(mult(mult(a, b), c), a)) = mult(mult(mult(a, b), c), mult(a, mult(mult(mult(a, b), c), a))))))) <=> (~((~(mult(mult(mult(mult(a, b), c), a), mult(mult(mult(a, b), c), a)) = mult(mult(mult(a, b), c), mult(a, mult(mult(mult(a, b), c), a))))) | (~(mult(mult(mult(mult(a, b), c), mult(mult(mult(a, b), c), a)), a) = mult(mult(mult(a, b), c), mult(mult(mult(mult(a, b), c), a), a))))))),
% 5.99/6.18 inference(rewrite,[status(thm)],[])).
% 5.99/6.18 tff(13086,plain,
% 5.99/6.18 ((~((~(mult(mult(mult(mult(a, b), c), mult(mult(mult(a, b), c), a)), a) = mult(mult(mult(a, b), c), mult(a, mult(mult(mult(a, b), c), a))))) | (~(mult(mult(mult(mult(a, b), c), a), mult(mult(mult(a, b), c), a)) = mult(mult(mult(a, b), c), mult(mult(mult(mult(a, b), c), a), a)))))) <=> (~((~(mult(mult(mult(mult(a, b), c), mult(mult(mult(a, b), c), a)), a) = mult(mult(mult(a, b), c), mult(a, mult(mult(mult(a, b), c), a))))) | (~(mult(mult(mult(mult(a, b), c), a), mult(mult(mult(a, b), c), a)) = mult(mult(mult(a, b), c), mult(mult(mult(mult(a, b), c), a), a))))))),
% 5.99/6.18 inference(rewrite,[status(thm)],[])).
% 5.99/6.18 tff(13087,plain,
% 5.99/6.18 (((~((~(mult(mult(mult(mult(a, b), c), mult(mult(mult(a, b), c), a)), a) = mult(mult(mult(a, b), c), mult(a, mult(mult(mult(a, b), c), a))))) | (~(mult(mult(mult(mult(a, b), c), a), mult(mult(mult(a, b), c), a)) = mult(mult(mult(a, b), c), mult(mult(mult(mult(a, b), c), a), a)))))) | (~((~(mult(mult(mult(mult(a, b), c), mult(mult(mult(a, b), c), a)), a) = mult(mult(mult(a, b), c), mult(mult(mult(mult(a, b), c), a), a)))) | (~(mult(mult(mult(mult(a, b), c), a), mult(mult(mult(a, b), c), a)) = mult(mult(mult(a, b), c), mult(a, mult(mult(mult(a, b), c), a)))))))) <=> ((~((~(mult(mult(mult(mult(a, b), c), mult(mult(mult(a, b), c), a)), a) = mult(mult(mult(a, b), c), mult(a, mult(mult(mult(a, b), c), a))))) | (~(mult(mult(mult(mult(a, b), c), a), mult(mult(mult(a, b), c), a)) = mult(mult(mult(a, b), c), mult(mult(mult(mult(a, b), c), a), a)))))) | (~((~(mult(mult(mult(mult(a, b), c), a), mult(mult(mult(a, b), c), a)) = mult(mult(mult(a, b), c), mult(a, mult(mult(mult(a, b), c), a))))) | (~(mult(mult(mult(mult(a, b), c), mult(mult(mult(a, b), c), a)), a) = mult(mult(mult(a, b), c), mult(mult(mult(mult(a, b), c), a), a)))))))),
% 5.99/6.18 inference(monotonicity,[status(thm)],[13086, 13085])).
% 5.99/6.18 tff(13088,plain,
% 5.99/6.18 (((~((~(mult(mult(mult(mult(a, b), c), mult(mult(mult(a, b), c), a)), a) = mult(mult(mult(a, b), c), mult(a, mult(mult(mult(a, b), c), a))))) | (~(mult(mult(mult(mult(a, b), c), a), mult(mult(mult(a, b), c), a)) = mult(mult(mult(a, b), c), mult(mult(mult(mult(a, b), c), a), a)))))) | (~((~(mult(mult(mult(mult(a, b), c), mult(mult(mult(a, b), c), a)), a) = mult(mult(mult(a, b), c), mult(mult(mult(mult(a, b), c), a), a)))) | (~(mult(mult(mult(mult(a, b), c), a), mult(mult(mult(a, b), c), a)) = mult(mult(mult(a, b), c), mult(a, mult(mult(mult(a, b), c), a)))))))) <=> ((~((~(mult(mult(mult(mult(a, b), c), mult(mult(mult(a, b), c), a)), a) = mult(mult(mult(a, b), c), mult(a, mult(mult(mult(a, b), c), a))))) | (~(mult(mult(mult(mult(a, b), c), a), mult(mult(mult(a, b), c), a)) = mult(mult(mult(a, b), c), mult(mult(mult(mult(a, b), c), a), a)))))) | (~((~(mult(mult(mult(mult(a, b), c), a), mult(mult(mult(a, b), c), a)) = mult(mult(mult(a, b), c), mult(a, mult(mult(mult(a, b), c), a))))) | (~(mult(mult(mult(mult(a, b), c), mult(mult(mult(a, b), c), a)), a) = mult(mult(mult(a, b), c), mult(mult(mult(mult(a, b), c), a), a)))))))),
% 5.99/6.18 inference(transitivity,[status(thm)],[13087, 13084])).
% 5.99/6.18 tff(13089,plain,
% 5.99/6.18 (((~![X0: $i, X1: $i, X2: $i] : ((~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X2, X1)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X1, X2)))))) | (~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X1, X2)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X2, X1)))))))) | ((~((~(mult(mult(mult(mult(a, b), c), mult(mult(mult(a, b), c), a)), a) = mult(mult(mult(a, b), c), mult(a, mult(mult(mult(a, b), c), a))))) | (~(mult(mult(mult(mult(a, b), c), a), mult(mult(mult(a, b), c), a)) = mult(mult(mult(a, b), c), mult(mult(mult(mult(a, b), c), a), a)))))) | (~((~(mult(mult(mult(mult(a, b), c), mult(mult(mult(a, b), c), a)), a) = mult(mult(mult(a, b), c), mult(mult(mult(mult(a, b), c), a), a)))) | (~(mult(mult(mult(mult(a, b), c), a), mult(mult(mult(a, b), c), a)) = mult(mult(mult(a, b), c), mult(a, mult(mult(mult(a, b), c), a))))))))) <=> ((~![X0: $i, X1: $i, X2: $i] : ((~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X2, X1)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X1, X2)))))) | (~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X1, X2)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X2, X1)))))))) | ((~((~(mult(mult(mult(mult(a, b), c), mult(mult(mult(a, b), c), a)), a) = mult(mult(mult(a, b), c), mult(a, mult(mult(mult(a, b), c), a))))) | (~(mult(mult(mult(mult(a, b), c), a), mult(mult(mult(a, b), c), a)) = mult(mult(mult(a, b), c), mult(mult(mult(mult(a, b), c), a), a)))))) | (~((~(mult(mult(mult(mult(a, b), c), a), mult(mult(mult(a, b), c), a)) = mult(mult(mult(a, b), c), mult(a, mult(mult(mult(a, b), c), a))))) | (~(mult(mult(mult(mult(a, b), c), mult(mult(mult(a, b), c), a)), a) = mult(mult(mult(a, b), c), mult(mult(mult(mult(a, b), c), a), a))))))))),
% 5.99/6.18 inference(monotonicity,[status(thm)],[13088])).
% 5.99/6.18 tff(13090,plain,
% 5.99/6.18 (((~![X0: $i, X1: $i, X2: $i] : ((~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X2, X1)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X1, X2)))))) | (~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X1, X2)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X2, X1)))))))) | ((~((~(mult(mult(mult(mult(a, b), c), mult(mult(mult(a, b), c), a)), a) = mult(mult(mult(a, b), c), mult(a, mult(mult(mult(a, b), c), a))))) | (~(mult(mult(mult(mult(a, b), c), a), mult(mult(mult(a, b), c), a)) = mult(mult(mult(a, b), c), mult(mult(mult(mult(a, b), c), a), a)))))) | (~((~(mult(mult(mult(mult(a, b), c), mult(mult(mult(a, b), c), a)), a) = mult(mult(mult(a, b), c), mult(mult(mult(mult(a, b), c), a), a)))) | (~(mult(mult(mult(mult(a, b), c), a), mult(mult(mult(a, b), c), a)) = mult(mult(mult(a, b), c), mult(a, mult(mult(mult(a, b), c), a))))))))) <=> ((~![X0: $i, X1: $i, X2: $i] : ((~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X2, X1)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X1, X2)))))) | (~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X1, X2)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X2, X1)))))))) | (~((~(mult(mult(mult(mult(a, b), c), mult(mult(mult(a, b), c), a)), a) = mult(mult(mult(a, b), c), mult(a, mult(mult(mult(a, b), c), a))))) | (~(mult(mult(mult(mult(a, b), c), a), mult(mult(mult(a, b), c), a)) = mult(mult(mult(a, b), c), mult(mult(mult(mult(a, b), c), a), a)))))) | (~((~(mult(mult(mult(mult(a, b), c), a), mult(mult(mult(a, b), c), a)) = mult(mult(mult(a, b), c), mult(a, mult(mult(mult(a, b), c), a))))) | (~(mult(mult(mult(mult(a, b), c), mult(mult(mult(a, b), c), a)), a) = mult(mult(mult(a, b), c), mult(mult(mult(mult(a, b), c), a), a)))))))),
% 5.99/6.18 inference(transitivity,[status(thm)],[13089, 13083])).
% 5.99/6.18 tff(13091,plain,
% 5.99/6.18 ((~![X0: $i, X1: $i, X2: $i] : ((~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X2, X1)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X1, X2)))))) | (~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X1, X2)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X2, X1)))))))) | ((~((~(mult(mult(mult(mult(a, b), c), mult(mult(mult(a, b), c), a)), a) = mult(mult(mult(a, b), c), mult(a, mult(mult(mult(a, b), c), a))))) | (~(mult(mult(mult(mult(a, b), c), a), mult(mult(mult(a, b), c), a)) = mult(mult(mult(a, b), c), mult(mult(mult(mult(a, b), c), a), a)))))) | (~((~(mult(mult(mult(mult(a, b), c), mult(mult(mult(a, b), c), a)), a) = mult(mult(mult(a, b), c), mult(mult(mult(mult(a, b), c), a), a)))) | (~(mult(mult(mult(mult(a, b), c), a), mult(mult(mult(a, b), c), a)) = mult(mult(mult(a, b), c), mult(a, mult(mult(mult(a, b), c), a))))))))),
% 5.99/6.18 inference(quant_inst,[status(thm)],[])).
% 5.99/6.18 tff(13092,plain,
% 5.99/6.18 ((~![X0: $i, X1: $i, X2: $i] : ((~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X2, X1)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X1, X2)))))) | (~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X1, X2)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X2, X1)))))))) | (~((~(mult(mult(mult(mult(a, b), c), mult(mult(mult(a, b), c), a)), a) = mult(mult(mult(a, b), c), mult(a, mult(mult(mult(a, b), c), a))))) | (~(mult(mult(mult(mult(a, b), c), a), mult(mult(mult(a, b), c), a)) = mult(mult(mult(a, b), c), mult(mult(mult(mult(a, b), c), a), a)))))) | (~((~(mult(mult(mult(mult(a, b), c), a), mult(mult(mult(a, b), c), a)) = mult(mult(mult(a, b), c), mult(a, mult(mult(mult(a, b), c), a))))) | (~(mult(mult(mult(mult(a, b), c), mult(mult(mult(a, b), c), a)), a) = mult(mult(mult(a, b), c), mult(mult(mult(mult(a, b), c), a), a))))))),
% 5.99/6.18 inference(modus_ponens,[status(thm)],[13091, 13090])).
% 5.99/6.18 tff(13093,plain,
% 5.99/6.18 ((~((~(mult(mult(mult(mult(a, b), c), mult(mult(mult(a, b), c), a)), a) = mult(mult(mult(a, b), c), mult(a, mult(mult(mult(a, b), c), a))))) | (~(mult(mult(mult(mult(a, b), c), a), mult(mult(mult(a, b), c), a)) = mult(mult(mult(a, b), c), mult(mult(mult(mult(a, b), c), a), a)))))) | (~((~(mult(mult(mult(mult(a, b), c), a), mult(mult(mult(a, b), c), a)) = mult(mult(mult(a, b), c), mult(a, mult(mult(mult(a, b), c), a))))) | (~(mult(mult(mult(mult(a, b), c), mult(mult(mult(a, b), c), a)), a) = mult(mult(mult(a, b), c), mult(mult(mult(mult(a, b), c), a), a))))))),
% 5.99/6.18 inference(unit_resolution,[status(thm)],[13092, 30])).
% 5.99/6.18 tff(13094,plain,
% 5.99/6.18 ($false),
% 5.99/6.18 inference(unit_resolution,[status(thm)],[13093, 13082, 13072])).
% 5.99/6.18 tff(13095,plain,((~(mult(mult(mult(b, a), mult(a, c)), mult(b, a)) = mult(mult(b, a), mult(mult(b, a), mult(a, c))))) | (~(mult(mult(a, mult(b, a)), mult(a, c)) = mult(a, mult(mult(b, a), mult(a, c))))) | (~(mult(mult(mult(a, b), a), mult(a, c)) = mult(mult(a, b), mult(mult(a, c), a)))) | (~(mult(mult(a, mult(b, mult(c, a))), a) = mult(a, mult(a, mult(b, mult(c, a)))))) | (~(mult(mult(a, b), mult(c, a)) = mult(a, mult(b, mult(c, a))))) | (~(mult(mult(mult(mult(b, a), mult(a, c)), a), b) = mult(mult(mult(b, a), mult(a, c)), mult(b, a)))) | (~(mult(mult(c, b), a) = mult(c, mult(a, b)))) | (~(mult(mult(mult(b, a), c), mult(mult(a, b), a)) = mult(mult(b, a), mult(c, mult(mult(a, b), a))))) | (~(mult(mult(mult(mult(b, a), mult(a, c)), b), a) = mult(mult(mult(b, a), mult(a, c)), mult(a, b)))) | (~(mult(mult(mult(a, c), a), mult(a, b)) = mult(mult(a, c), mult(mult(a, b), a)))) | (~(mult(mult(mult(b, a), b), a) = mult(mult(b, a), mult(b, a)))) | (~(mult(mult(c, a), b) = mult(c, mult(b, a)))) | (~(mult(mult(b, mult(a, b)), a) = mult(b, mult(mult(a, b), a)))) | (~(mult(mult(mult(a, b), c), a) = mult(mult(a, b), mult(a, c)))) | (~(mult(mult(a, c), mult(mult(a, b), a)) = mult(a, mult(c, mult(mult(a, b), a))))) | (~(mult(mult(a, mult(a, b)), c) = mult(a, mult(mult(a, b), c)))) | (~(mult(mult(a, mult(mult(a, c), a)), b) = mult(a, mult(mult(mult(a, c), a), b)))) | (~(mult(mult(a, mult(c, a)), b) = mult(a, mult(mult(c, a), b)))) | (~(mult(mult(a, b), mult(a, mult(a, c))) = mult(a, mult(b, mult(a, mult(a, c)))))) | (mult(mult(mult(mult(mult(a, c), mult(b, a)), mult(a, c)), a), b) = mult(mult(mult(mult(a, c), mult(b, a)), mult(a, c)), mult(b, a))) | (mult(mult(mult(mult(mult(a, b), c), a), b), a) = mult(mult(mult(mult(a, b), c), a), mult(b, a))) | (~(mult(mult(mult(mult(a, a), b), a), c) = mult(mult(mult(a, a), b), mult(c, a)))) | (~(mult(mult(a, mult(a, mult(a, c))), b) = mult(a, mult(mult(a, mult(a, c)), b)))) | (mult(mult(mult(b, mult(c, a)), a), mult(b, a)) = mult(mult(b, mult(c, a)), mult(a, mult(b, a))))), inference(lemma,lemma(discharge,[]))).
% 5.99/6.19 tff(13096,plain,
% 5.99/6.19 (~(mult(mult(mult(b, a), mult(a, c)), mult(b, a)) = mult(mult(b, a), mult(mult(b, a), mult(a, c))))),
% 5.99/6.19 inference(unit_resolution,[status(thm)],[13095, 12178, 11017, 11945, 754, 10943, 1110, 12670, 11947, 6854, 11025, 342, 11026, 168, 10836, 256, 12166, 742, 10565, 10973, 11013, 10910, 10727, 10726])).
% 5.99/6.19 tff(13097,plain,
% 5.99/6.19 ((~(mult(mult(mult(b, a), mult(b, a)), mult(a, c)) = mult(mult(b, a), mult(mult(a, c), mult(b, a))))) | (~(mult(mult(mult(b, a), mult(a, c)), mult(b, a)) = mult(mult(b, a), mult(mult(b, a), mult(a, c)))))),
% 5.99/6.19 inference(unit_resolution,[status(thm)],[11137, 13096])).
% 5.99/6.19 tff(13098,plain,
% 5.99/6.19 (~((~(mult(mult(mult(b, a), mult(a, c)), mult(b, a)) = mult(mult(b, a), mult(mult(a, c), mult(b, a))))) | (~(mult(mult(mult(b, a), mult(b, a)), mult(a, c)) = mult(mult(b, a), mult(mult(b, a), mult(a, c))))))),
% 5.99/6.19 inference(unit_resolution,[status(thm)],[11149, 13097])).
% 5.99/6.19 tff(13099,plain,
% 5.99/6.19 ((~(mult(mult(mult(mult(mult(a, b), c), a), a), b) = mult(mult(mult(mult(a, b), c), a), mult(a, b)))) | (~(mult(mult(mult(mult(mult(a, b), c), a), b), a) = mult(mult(mult(mult(a, b), c), a), mult(b, a))))),
% 5.99/6.19 inference(unit_resolution,[status(thm)],[11292, 11013])).
% 5.99/6.19 tff(13100,plain,
% 5.99/6.19 (~((~(mult(mult(mult(mult(mult(a, b), c), a), a), b) = mult(mult(mult(mult(a, b), c), a), mult(b, a)))) | (~(mult(mult(mult(mult(mult(a, b), c), a), b), a) = mult(mult(mult(mult(a, b), c), a), mult(a, b)))))),
% 5.99/6.19 inference(unit_resolution,[status(thm)],[11296, 30, 13099])).
% 5.99/6.19 tff(13101,plain,
% 5.99/6.19 (mult(mult(mult(mult(mult(a, b), c), a), b), a) = mult(mult(mult(mult(a, b), c), a), mult(a, b))),
% 5.99/6.19 inference(unit_resolution,[status(thm)],[11298, 13100])).
% 5.99/6.19 tff(13102,plain,
% 5.99/6.19 (mult(mult(mult(b, a), mult(a, mult(a, c))), b) = mult(mult(b, a), mult(mult(a, mult(a, c)), b))),
% 5.99/6.19 inference(unit_resolution,[status(thm)],[11561, 13096, 11947, 10728, 342, 6854, 11017, 12178, 10836, 11025, 12670, 10943, 11363, 12738, 13101, 10565, 10977, 10730, 168, 10726, 11026])).
% 5.99/6.19 tff(13103,plain,
% 5.99/6.19 (~(mult(mult(mult(b, a), mult(a, c)), mult(b, a)) = mult(mult(b, a), mult(mult(a, c), mult(b, a))))),
% 5.99/6.19 inference(unit_resolution,[status(thm)],[11386, 13102, 10943, 11365, 11363, 11028, 10728, 342])).
% 5.99/6.19 tff(13104,plain,
% 5.99/6.19 ($false),
% 5.99/6.19 inference(unit_resolution,[status(thm)],[11151, 13103, 13098])).
% 5.99/6.19 tff(13105,plain,((mult(mult(mult(b, mult(c, a)), a), mult(b, a)) = mult(mult(b, mult(c, a)), mult(a, mult(b, a)))) | (~(mult(mult(c, a), b) = mult(c, mult(b, a)))) | (~(mult(mult(mult(a, b), a), mult(a, c)) = mult(mult(a, b), mult(mult(a, c), a)))) | (~(mult(mult(mult(b, a), b), a) = mult(mult(b, a), mult(b, a)))) | (~(mult(mult(a, b), mult(a, mult(a, c))) = mult(a, mult(b, mult(a, mult(a, c)))))) | (~(mult(mult(mult(a, b), c), a) = mult(mult(a, b), mult(a, c)))) | (~(mult(mult(b, mult(a, b)), a) = mult(b, mult(mult(a, b), a)))) | (~(mult(mult(a, b), mult(c, a)) = mult(a, mult(b, mult(c, a))))) | (~(mult(mult(c, b), a) = mult(c, mult(a, b)))) | (~(mult(mult(a, mult(a, b)), c) = mult(a, mult(mult(a, b), c)))) | (~(mult(mult(a, mult(c, a)), b) = mult(a, mult(mult(c, a), b)))) | (~(mult(mult(a, mult(a, mult(a, c))), b) = mult(a, mult(mult(a, mult(a, c)), b)))) | (~(mult(mult(c, mult(a, b)), a) = mult(c, mult(a, mult(a, b))))) | (~(mult(mult(mult(b, a), a), b) = mult(mult(b, a), mult(a, b)))) | (~(mult(mult(mult(c, a), mult(mult(a, a), b)), b) = mult(mult(c, a), mult(b, mult(mult(a, a), b))))) | (~(mult(mult(mult(c, a), b), mult(a, a)) = mult(mult(c, a), mult(mult(a, a), b)))) | (~(mult(mult(a, a), mult(b, a)) = mult(a, mult(a, mult(b, a))))) | (mult(mult(a, mult(b, a)), c) = mult(a, mult(c, mult(b, a)))) | (mult(mult(mult(a, c), b), a) = mult(mult(a, c), mult(b, a))) | (mult(mult(c, mult(b, a)), a) = mult(c, mult(mult(b, a), a)))), inference(lemma,lemma(discharge,[]))).
% 5.99/6.19 tff(13106,plain,
% 5.99/6.19 (mult(mult(mult(b, mult(c, a)), a), mult(b, a)) = mult(mult(b, mult(c, a)), mult(a, mult(b, a)))),
% 5.99/6.19 inference(unit_resolution,[status(thm)],[13105, 738, 10725, 10673, 10710, 10408, 10688, 3071, 1595, 8996, 740, 10672, 9026, 4649, 10358, 9349, 10404, 9293, 9254, 9284])).
% 5.99/6.19 tff(13107,plain,
% 5.99/6.19 (mult(mult(b, mult(c, a)), mult(a, mult(b, a))) = mult(mult(mult(b, mult(c, a)), a), mult(b, a))),
% 5.99/6.19 inference(symmetry,[status(thm)],[13106])).
% 5.99/6.19 tff(13108,plain,
% 5.99/6.19 (mult(mult(a, b), mult(a, c)) = mult(a, mult(b, mult(a, c)))),
% 5.99/6.19 inference(unit_resolution,[status(thm)],[10431, 10436, 10408])).
% 5.99/6.19 tff(13109,plain,
% 5.99/6.19 (mult(a, mult(b, mult(c, a))) = mult(mult(mult(a, b), a), c)),
% 5.99/6.19 inference(transitivity,[status(thm)],[9286, 9223])).
% 5.99/6.19 tff(13110,plain,
% 5.99/6.19 ((mult(a, mult(b, mult(c, a))) = mult(mult(mult(a, b), c), a)) <=> (mult(mult(mult(a, b), a), c) = mult(mult(a, b), mult(a, c)))),
% 5.99/6.19 inference(monotonicity,[status(thm)],[13109, 10408])).
% 5.99/6.19 tff(13111,plain,
% 5.99/6.19 ((~(mult(a, mult(b, mult(c, a))) = mult(mult(mult(a, b), c), a))) <=> (~(mult(mult(mult(a, b), a), c) = mult(mult(a, b), mult(a, c))))),
% 5.99/6.19 inference(monotonicity,[status(thm)],[13110])).
% 5.99/6.19 tff(13112,plain,
% 5.99/6.19 (~(mult(mult(mult(a, b), a), c) = mult(mult(a, b), mult(a, c)))),
% 5.99/6.19 inference(modus_ponens,[status(thm)],[194, 13111])).
% 5.99/6.19 tff(13113,plain,
% 5.99/6.19 (~(mult(mult(b, c), a) = mult(b, mult(c, a)))),
% 5.99/6.19 inference(unit_resolution,[status(thm)],[11127, 13112, 13108, 738])).
% 5.99/6.19 tff(13114,plain,
% 5.99/6.19 (mult(mult(mult(a, c), mult(b, a)), a) = mult(mult(a, c), mult(a, mult(b, a)))),
% 5.99/6.19 inference(unit_resolution,[status(thm)],[10736, 9012])).
% 5.99/6.19 tff(13115,plain,
% 5.99/6.19 (~(mult(mult(mult(a, c), mult(a, b)), a) = mult(mult(a, c), mult(mult(a, b), a)))),
% 5.99/6.19 inference(unit_resolution,[status(thm)],[1542, 9254])).
% 5.99/6.19 tff(13116,plain,
% 5.99/6.19 ((~(mult(mult(mult(a, c), a), mult(a, b)) = mult(mult(a, c), mult(a, mult(a, b))))) | (~(mult(mult(mult(a, c), mult(a, b)), a) = mult(mult(a, c), mult(mult(a, b), a))))),
% 5.99/6.19 inference(unit_resolution,[status(thm)],[1547, 13115])).
% 5.99/6.19 tff(13117,plain,
% 5.99/6.19 (mult(mult(mult(a, c), a), mult(a, b)) = mult(mult(a, c), mult(mult(a, b), a))),
% 5.99/6.19 inference(unit_resolution,[status(thm)],[6853, 13116])).
% 5.99/6.19 tff(13118,plain,
% 5.99/6.19 (mult(mult(mult(b, a), mult(a, c)), mult(b, a)) = mult(mult(b, a), mult(mult(b, a), mult(a, c)))),
% 5.99/6.19 inference(unit_resolution,[status(thm)],[11247, 13106, 3071, 9293, 9244, 13117, 13114, 13113, 10673])).
% 5.99/6.19 tff(13119,plain,
% 5.99/6.19 (mult(mult(b, a), mult(c, mult(mult(a, b), a))) = mult(mult(b, a), mult(mult(b, a), mult(a, c)))),
% 5.99/6.19 inference(transitivity,[status(thm)],[11397, 11155, 11154, 11153, 3534, 8734])).
% 5.99/6.19 tff(13120,plain,
% 5.99/6.19 (ld(mult(b, a), mult(mult(b, a), mult(c, mult(mult(a, b), a)))) = ld(mult(b, a), mult(mult(b, a), mult(mult(b, a), mult(a, c))))),
% 5.99/6.19 inference(monotonicity,[status(thm)],[13119])).
% 5.99/6.19 tff(13121,plain,
% 5.99/6.19 (ld(mult(b, a), mult(mult(b, a), mult(mult(b, a), mult(a, c)))) = ld(mult(b, a), mult(mult(b, a), mult(c, mult(mult(a, b), a))))),
% 5.99/6.19 inference(symmetry,[status(thm)],[13120])).
% 5.99/6.19 tff(13122,plain,
% 5.99/6.19 (mult(mult(b, mult(c, a)), a) = mult(mult(mult(c, a), b), a)),
% 5.99/6.19 inference(transitivity,[status(thm)],[3532, 3530, 11270, 13121, 11130, 2808])).
% 5.99/6.19 tff(13123,plain,
% 5.99/6.19 (rd(mult(mult(b, mult(c, a)), a), a) = rd(mult(mult(mult(c, a), b), a), a)),
% 5.99/6.19 inference(monotonicity,[status(thm)],[13122])).
% 5.99/6.19 tff(13124,plain,
% 5.99/6.19 (mult(b, mult(c, a)) = mult(mult(c, a), b)),
% 5.99/6.19 inference(transitivity,[status(thm)],[11273, 13123, 3844])).
% 5.99/6.19 tff(13125,plain,
% 5.99/6.19 (mult(a, mult(b, mult(c, a))) = mult(a, mult(mult(c, a), b))),
% 5.99/6.19 inference(monotonicity,[status(thm)],[13124])).
% 5.99/6.19 tff(13126,plain,
% 5.99/6.19 (mult(mult(a, mult(b, a)), c) = mult(a, mult(c, mult(b, a)))),
% 5.99/6.19 inference(transitivity,[status(thm)],[8336, 9222, 754, 13125, 2430])).
% 5.99/6.19 tff(13127,plain,
% 5.99/6.19 ($false),
% 5.99/6.19 inference(unit_resolution,[status(thm)],[10743, 13126])).
% 5.99/6.19 tff(13128,plain,((~(mult(mult(mult(b, a), c), mult(mult(a, b), a)) = mult(mult(b, a), mult(c, mult(mult(a, b), a))))) | (mult(mult(a, mult(b, a)), c) = mult(a, mult(c, mult(b, a)))) | (~(mult(mult(a, b), mult(c, a)) = mult(a, mult(b, mult(c, a))))) | (~(mult(mult(c, a), b) = mult(c, mult(b, a)))) | (~(mult(mult(mult(b, mult(c, a)), a), mult(b, a)) = mult(mult(b, mult(c, a)), mult(a, mult(b, a))))) | (~(mult(mult(mult(b, a), mult(a, c)), mult(b, a)) = mult(mult(b, a), mult(mult(b, a), mult(a, c)))))), inference(lemma,lemma(discharge,[]))).
% 5.99/6.19 tff(13129,plain,
% 5.99/6.19 (~(mult(mult(mult(b, a), c), mult(mult(a, b), a)) = mult(mult(b, a), mult(c, mult(mult(a, b), a))))),
% 5.99/6.19 inference(unit_resolution,[status(thm)],[13128, 9293, 738, 3071, 13106, 13118])).
% 5.99/6.19 tff(13130,plain,
% 5.99/6.19 ((~(mult(mult(mult(b, a), mult(mult(a, b), a)), c) = mult(mult(b, a), mult(mult(mult(a, b), a), c)))) | (~(mult(mult(mult(b, a), c), mult(mult(a, b), a)) = mult(mult(b, a), mult(c, mult(mult(a, b), a)))))),
% 5.99/6.19 inference(unit_resolution,[status(thm)],[11230, 13129])).
% 5.99/6.19 tff(13131,plain,
% 5.99/6.19 (~((~(mult(mult(mult(b, a), mult(mult(a, b), a)), c) = mult(mult(b, a), mult(c, mult(mult(a, b), a))))) | (~(mult(mult(mult(b, a), c), mult(mult(a, b), a)) = mult(mult(b, a), mult(mult(mult(a, b), a), c)))))),
% 5.99/6.19 inference(unit_resolution,[status(thm)],[11235, 13130])).
% 5.99/6.19 tff(13132,plain,
% 5.99/6.19 (mult(mult(mult(b, a), c), mult(mult(a, b), a)) = mult(mult(b, a), mult(mult(mult(a, b), a), c))),
% 5.99/6.19 inference(unit_resolution,[status(thm)],[11237, 13131])).
% 5.99/6.19 tff(13133,plain,
% 5.99/6.19 (mult(mult(b, a), mult(mult(mult(a, b), a), c)) = mult(mult(mult(b, a), c), mult(mult(a, b), a))),
% 5.99/6.19 inference(symmetry,[status(thm)],[13132])).
% 5.99/6.19 tff(13134,plain,
% 5.99/6.19 (mult(mult(mult(mult(b, a), mult(a, c)), b), a) = mult(mult(mult(b, a), mult(a, c)), mult(b, a))),
% 5.99/6.19 inference(transitivity,[status(thm)],[4201, 4198, 11154, 13107, 3534])).
% 5.99/6.19 tff(13135,plain,
% 5.99/6.19 (mult(a, mult(mult(b, a), c)) = mult(mult(a, mult(b, a)), c)),
% 5.99/6.19 inference(transitivity,[status(thm)],[4878, 9286, 9223, 9069])).
% 5.99/6.19 tff(13136,plain,
% 5.99/6.19 ((mult(mult(a, c), mult(b, a)) = mult(a, mult(mult(b, a), c))) <=> (mult(a, mult(c, mult(b, a))) = mult(mult(a, mult(b, a)), c))),
% 5.99/6.19 inference(monotonicity,[status(thm)],[9244, 13135])).
% 5.99/6.19 tff(13137,plain,
% 5.99/6.19 ((mult(mult(a, c), mult(b, a)) = mult(a, mult(mult(b, a), c))) <=> (mult(mult(a, mult(b, a)), c) = mult(a, mult(c, mult(b, a))))),
% 5.99/6.19 inference(transitivity,[status(thm)],[13136, 9285])).
% 5.99/6.19 tff(13138,plain,
% 5.99/6.19 ((mult(mult(a, mult(b, a)), c) = mult(a, mult(c, mult(b, a)))) <=> (mult(mult(a, c), mult(b, a)) = mult(a, mult(mult(b, a), c)))),
% 5.99/6.19 inference(symmetry,[status(thm)],[13137])).
% 5.99/6.19 tff(13139,plain,
% 5.99/6.19 ((~(mult(mult(a, mult(b, a)), c) = mult(a, mult(c, mult(b, a))))) <=> (~(mult(mult(a, c), mult(b, a)) = mult(a, mult(mult(b, a), c))))),
% 5.99/6.19 inference(monotonicity,[status(thm)],[13138])).
% 5.99/6.19 tff(13140,plain,
% 5.99/6.19 (~(mult(mult(a, c), mult(b, a)) = mult(a, mult(mult(b, a), c)))),
% 5.99/6.19 inference(modus_ponens,[status(thm)],[9293, 13139])).
% 5.99/6.19 tff(13141,plain,
% 5.99/6.19 (mult(mult(a, mult(mult(c, a), b)), a) = mult(a, mult(mult(mult(c, a), b), a))),
% 5.99/6.19 inference(unit_resolution,[status(thm)],[10821, 13140, 9012])).
% 5.99/6.19 tff(13142,plain,
% 5.99/6.19 (mult(mult(a, c), mult(mult(a, b), a)) = mult(a, mult(c, mult(mult(a, b), a)))),
% 5.99/6.19 inference(unit_resolution,[status(thm)],[10835, 13141, 13114, 9244, 3071])).
% 5.99/6.19 tff(13143,plain,
% 5.99/6.19 (mult(mult(a, mult(mult(a, b), a)), c) = mult(a, mult(mult(mult(a, b), a), c))),
% 5.99/6.19 inference(unit_resolution,[status(thm)],[10858, 13142])).
% 5.99/6.19 tff(13144,plain,
% 5.99/6.19 (mult(mult(a, mult(a, b)), mult(c, a)) = mult(a, mult(mult(a, b), mult(c, a)))),
% 5.99/6.19 inference(unit_resolution,[status(thm)],[10889, 13117, 9012, 740, 9066, 13141])).
% 5.99/6.19 tff(13145,plain,
% 5.99/6.19 (mult(mult(mult(mult(a, a), b), a), c) = mult(mult(mult(a, a), b), mult(c, a))),
% 5.99/6.19 inference(unit_resolution,[status(thm)],[10909, 13144, 13143])).
% 5.99/6.19 tff(13146,plain,
% 5.99/6.19 (mult(mult(b, a), mult(mult(mult(a, b), a), c)) = mult(mult(b, a), mult(mult(b, a), mult(a, c)))),
% 5.99/6.19 inference(transitivity,[status(thm)],[13133, 11155, 11154, 13107, 3534, 13118])).
% 5.99/6.19 tff(13147,plain,
% 5.99/6.19 (ld(mult(b, a), mult(mult(b, a), mult(mult(mult(a, b), a), c))) = ld(mult(b, a), mult(mult(b, a), mult(mult(b, a), mult(a, c))))),
% 5.99/6.19 inference(monotonicity,[status(thm)],[13146])).
% 5.99/6.19 tff(13148,plain,
% 5.99/6.19 (mult(mult(mult(a, b), a), c) = mult(mult(b, a), mult(a, c))),
% 5.99/6.19 inference(transitivity,[status(thm)],[11244, 13147, 11251])).
% 5.99/6.19 tff(13149,plain,
% 5.99/6.19 (mult(a, mult(mult(mult(a, b), a), c)) = mult(a, mult(mult(b, a), mult(a, c)))),
% 5.99/6.19 inference(monotonicity,[status(thm)],[13148])).
% 5.99/6.19 tff(13150,plain,
% 5.99/6.19 (mult(a, mult(a, mult(b, mult(c, a)))) = mult(a, mult(mult(mult(a, b), a), c))),
% 5.99/6.19 inference(monotonicity,[status(thm)],[13109])).
% 5.99/6.19 tff(13151,plain,
% 5.99/6.19 (mult(a, mult(a, mult(b, mult(c, a)))) = mult(a, mult(mult(b, a), mult(a, c)))),
% 5.99/6.19 inference(transitivity,[status(thm)],[13150, 13149])).
% 5.99/6.19 tff(13152,plain,
% 5.99/6.19 (mult(mult(a, b), mult(mult(a, c), a)) = mult(mult(mult(a, b), a), mult(a, c))),
% 5.99/6.19 inference(symmetry,[status(thm)],[10725])).
% 5.99/6.19 tff(13153,plain,
% 5.99/6.19 (mult(mult(a, mult(b, mult(c, a))), a) = mult(mult(mult(mult(a, b), a), c), a)),
% 5.99/6.19 inference(monotonicity,[status(thm)],[13109])).
% 5.99/6.19 tff(13154,plain,
% 5.99/6.19 (mult(mult(a, mult(b, mult(c, a))), a) = mult(mult(a, mult(b, a)), mult(a, c))),
% 5.99/6.19 inference(transitivity,[status(thm)],[13153, 11096, 13152, 11016])).
% 5.99/6.19 tff(13155,plain,
% 5.99/6.19 ((mult(mult(a, mult(b, mult(c, a))), a) = mult(a, mult(a, mult(b, mult(c, a))))) <=> (mult(mult(a, mult(b, a)), mult(a, c)) = mult(a, mult(mult(b, a), mult(a, c))))),
% 5.99/6.19 inference(monotonicity,[status(thm)],[13154, 13151])).
% 5.99/6.19 tff(13156,plain,
% 5.99/6.19 (mult(mult(a, mult(b, mult(c, a))), a) = mult(a, mult(a, mult(b, mult(c, a))))),
% 5.99/6.19 inference(unit_resolution,[status(thm)],[11944, 9284, 10408, 9012, 3071, 10725, 13144, 738, 9254, 740, 9293, 10688, 10673, 10710, 10404, 10648])).
% 5.99/6.19 tff(13157,plain,
% 5.99/6.19 (mult(mult(a, mult(b, a)), mult(a, c)) = mult(a, mult(mult(b, a), mult(a, c)))),
% 5.99/6.19 inference(modus_ponens,[status(thm)],[13156, 13155])).
% 5.99/6.19 tff(13158,plain,
% 5.99/6.19 (mult(a, mult(mult(b, a), mult(a, c))) = mult(mult(mult(mult(a, b), a), c), a)),
% 5.99/6.19 inference(transitivity,[status(thm)],[11306, 11015, 11017, 11097])).
% 5.99/6.19 tff(13159,plain,
% 5.99/6.19 (mult(b, mult(a, mult(mult(b, a), mult(a, c)))) = mult(b, mult(mult(mult(mult(a, b), a), c), a))),
% 5.99/6.19 inference(monotonicity,[status(thm)],[13158])).
% 5.99/6.19 tff(13160,plain,
% 5.99/6.19 (mult(b, mult(mult(mult(mult(a, b), a), c), a)) = mult(b, mult(a, mult(mult(b, a), mult(a, c))))),
% 5.99/6.19 inference(symmetry,[status(thm)],[13159])).
% 5.99/6.19 tff(13161,plain,
% 5.99/6.19 (mult(mult(b, a), mult(mult(mult(a, b), a), c)) = mult(mult(b, a), mult(mult(b, a), mult(a, c)))),
% 5.99/6.19 inference(transitivity,[status(thm)],[11253, 11155, 7884, 11388, 7850, 8734])).
% 5.99/6.19 tff(13162,plain,
% 5.99/6.19 ((mult(mult(b, a), mult(mult(mult(a, b), a), c)) = mult(b, mult(mult(mult(mult(a, b), a), c), a))) <=> (mult(mult(b, a), mult(mult(b, a), mult(a, c))) = mult(b, mult(a, mult(mult(b, a), mult(a, c)))))),
% 5.99/6.19 inference(monotonicity,[status(thm)],[13161, 13160])).
% 5.99/6.19 tff(13163,plain,
% 5.99/6.19 ((mult(mult(b, a), mult(mult(b, a), mult(a, c))) = mult(b, mult(a, mult(mult(b, a), mult(a, c))))) <=> (mult(mult(b, a), mult(mult(mult(a, b), a), c)) = mult(b, mult(mult(mult(mult(a, b), a), c), a)))),
% 5.99/6.19 inference(symmetry,[status(thm)],[13162])).
% 5.99/6.19 tff(13164,plain,
% 5.99/6.19 (ld(mult(b, a), mult(mult(b, a), mult(mult(mult(a, b), a), c))) = ld(mult(b, a), mult(mult(b, a), mult(mult(b, a), mult(a, c))))),
% 5.99/6.19 inference(monotonicity,[status(thm)],[13161])).
% 5.99/6.19 tff(13165,plain,
% 5.99/6.19 (mult(mult(mult(a, b), a), c) = mult(mult(b, a), mult(a, c))),
% 5.99/6.19 inference(transitivity,[status(thm)],[11244, 13164, 11251])).
% 5.99/6.19 tff(13166,plain,
% 5.99/6.19 (mult(a, mult(mult(mult(a, b), a), c)) = mult(a, mult(mult(b, a), mult(a, c)))),
% 5.99/6.19 inference(monotonicity,[status(thm)],[13165])).
% 5.99/6.19 tff(13167,plain,
% 5.99/6.19 (mult(mult(mult(mult(a, a), b), a), c) = mult(mult(a, mult(mult(a, b), a)), c)),
% 5.99/6.19 inference(monotonicity,[status(thm)],[7625])).
% 5.99/6.19 tff(13168,plain,
% 5.99/6.19 (mult(mult(mult(a, a), b), mult(c, a)) = mult(mult(mult(mult(a, b), a), c), a)),
% 5.99/6.19 inference(transitivity,[status(thm)],[12487, 13167, 10896, 13166, 11306, 11015, 11017, 11097])).
% 6.03/6.20 tff(13169,plain,
% 6.03/6.20 (mult(b, mult(mult(mult(a, a), b), mult(c, a))) = mult(b, mult(mult(mult(mult(a, b), a), c), a))),
% 6.03/6.20 inference(monotonicity,[status(thm)],[13168])).
% 6.03/6.20 tff(13170,plain,
% 6.03/6.20 (mult(mult(a, mult(mult(a, b), a)), c) = mult(mult(mult(mult(a, a), b), a), c)),
% 6.03/6.20 inference(symmetry,[status(thm)],[13167])).
% 6.03/6.20 tff(13171,plain,
% 6.03/6.20 (mult(a, mult(mult(mult(a, b), a), c)) = mult(mult(mult(a, a), b), mult(c, a))),
% 6.03/6.20 inference(transitivity,[status(thm)],[11959, 13170, 12437])).
% 6.03/6.20 tff(13172,plain,
% 6.03/6.20 (mult(b, mult(a, mult(mult(mult(a, b), a), c))) = mult(b, mult(mult(mult(a, a), b), mult(c, a)))),
% 6.03/6.20 inference(monotonicity,[status(thm)],[13171])).
% 6.03/6.20 tff(13173,plain,
% 6.03/6.20 (mult(b, mult(a, mult(mult(mult(a, b), a), c))) = mult(b, mult(a, mult(mult(b, a), mult(a, c))))),
% 6.03/6.20 inference(transitivity,[status(thm)],[13172, 13169, 13160])).
% 6.03/6.20 tff(13174,plain,
% 6.03/6.20 ((mult(mult(b, a), mult(mult(mult(a, b), a), c)) = mult(b, mult(a, mult(mult(mult(a, b), a), c)))) <=> (mult(mult(b, a), mult(mult(b, a), mult(a, c))) = mult(b, mult(a, mult(mult(b, a), mult(a, c)))))),
% 6.03/6.20 inference(monotonicity,[status(thm)],[13161, 13173])).
% 6.03/6.20 tff(13175,plain,
% 6.03/6.20 ((mult(mult(b, a), mult(mult(mult(a, b), a), c)) = mult(b, mult(a, mult(mult(mult(a, b), a), c)))) <=> (mult(mult(b, a), mult(mult(mult(a, b), a), c)) = mult(b, mult(mult(mult(mult(a, b), a), c), a)))),
% 6.03/6.20 inference(transitivity,[status(thm)],[13174, 13163])).
% 6.03/6.20 tff(13176,assumption,(~(mult(mult(b, a), mult(mult(mult(a, b), a), c)) = mult(b, mult(mult(mult(mult(a, b), a), c), a)))), introduced(assumption)).
% 6.03/6.20 tff(13177,plain,
% 6.03/6.20 (((~(mult(mult(b, mult(mult(mult(a, b), a), c)), a) = mult(b, mult(a, mult(mult(mult(a, b), a), c))))) | (~(mult(mult(b, a), mult(mult(mult(a, b), a), c)) = mult(b, mult(mult(mult(mult(a, b), a), c), a))))) | (mult(mult(b, a), mult(mult(mult(a, b), a), c)) = mult(b, mult(mult(mult(mult(a, b), a), c), a)))),
% 6.03/6.20 inference(tautology,[status(thm)],[])).
% 6.03/6.20 tff(13178,plain,
% 6.03/6.20 ((~(mult(mult(b, mult(mult(mult(a, b), a), c)), a) = mult(b, mult(a, mult(mult(mult(a, b), a), c))))) | (~(mult(mult(b, a), mult(mult(mult(a, b), a), c)) = mult(b, mult(mult(mult(mult(a, b), a), c), a))))),
% 6.03/6.20 inference(unit_resolution,[status(thm)],[13177, 13176])).
% 6.03/6.20 tff(13179,plain,
% 6.03/6.20 (((~![X0: $i, X1: $i, X2: $i] : ((~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X2, X1)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X1, X2)))))) | (~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X1, X2)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X2, X1)))))))) | ((~((~(mult(mult(b, mult(mult(mult(a, b), a), c)), a) = mult(b, mult(a, mult(mult(mult(a, b), a), c))))) | (~(mult(mult(b, a), mult(mult(mult(a, b), a), c)) = mult(b, mult(mult(mult(mult(a, b), a), c), a)))))) | (~((~(mult(mult(b, a), mult(mult(mult(a, b), a), c)) = mult(b, mult(a, mult(mult(mult(a, b), a), c))))) | (~(mult(mult(b, mult(mult(mult(a, b), a), c)), a) = mult(b, mult(mult(mult(mult(a, b), a), c), a)))))))) <=> ((~![X0: $i, X1: $i, X2: $i] : ((~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X2, X1)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X1, X2)))))) | (~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X1, X2)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X2, X1)))))))) | (~((~(mult(mult(b, mult(mult(mult(a, b), a), c)), a) = mult(b, mult(a, mult(mult(mult(a, b), a), c))))) | (~(mult(mult(b, a), mult(mult(mult(a, b), a), c)) = mult(b, mult(mult(mult(mult(a, b), a), c), a)))))) | (~((~(mult(mult(b, a), mult(mult(mult(a, b), a), c)) = mult(b, mult(a, mult(mult(mult(a, b), a), c))))) | (~(mult(mult(b, mult(mult(mult(a, b), a), c)), a) = mult(b, mult(mult(mult(mult(a, b), a), c), a)))))))),
% 6.03/6.20 inference(rewrite,[status(thm)],[])).
% 6.03/6.20 tff(13180,plain,
% 6.03/6.20 (((~((~(mult(mult(b, mult(mult(mult(a, b), a), c)), a) = mult(b, mult(a, mult(mult(mult(a, b), a), c))))) | (~(mult(mult(b, a), mult(mult(mult(a, b), a), c)) = mult(b, mult(mult(mult(mult(a, b), a), c), a)))))) | (~((~(mult(mult(b, a), mult(mult(mult(a, b), a), c)) = mult(b, mult(a, mult(mult(mult(a, b), a), c))))) | (~(mult(mult(b, mult(mult(mult(a, b), a), c)), a) = mult(b, mult(mult(mult(mult(a, b), a), c), a))))))) <=> ((~((~(mult(mult(b, mult(mult(mult(a, b), a), c)), a) = mult(b, mult(a, mult(mult(mult(a, b), a), c))))) | (~(mult(mult(b, a), mult(mult(mult(a, b), a), c)) = mult(b, mult(mult(mult(mult(a, b), a), c), a)))))) | (~((~(mult(mult(b, a), mult(mult(mult(a, b), a), c)) = mult(b, mult(a, mult(mult(mult(a, b), a), c))))) | (~(mult(mult(b, mult(mult(mult(a, b), a), c)), a) = mult(b, mult(mult(mult(mult(a, b), a), c), a)))))))),
% 6.03/6.20 inference(rewrite,[status(thm)],[])).
% 6.03/6.20 tff(13181,plain,
% 6.03/6.20 ((~((~(mult(mult(b, mult(mult(mult(a, b), a), c)), a) = mult(b, mult(mult(mult(mult(a, b), a), c), a)))) | (~(mult(mult(b, a), mult(mult(mult(a, b), a), c)) = mult(b, mult(a, mult(mult(mult(a, b), a), c))))))) <=> (~((~(mult(mult(b, a), mult(mult(mult(a, b), a), c)) = mult(b, mult(a, mult(mult(mult(a, b), a), c))))) | (~(mult(mult(b, mult(mult(mult(a, b), a), c)), a) = mult(b, mult(mult(mult(mult(a, b), a), c), a))))))),
% 6.03/6.20 inference(rewrite,[status(thm)],[])).
% 6.03/6.20 tff(13182,plain,
% 6.03/6.20 ((~((~(mult(mult(b, mult(mult(mult(a, b), a), c)), a) = mult(b, mult(a, mult(mult(mult(a, b), a), c))))) | (~(mult(mult(b, a), mult(mult(mult(a, b), a), c)) = mult(b, mult(mult(mult(mult(a, b), a), c), a)))))) <=> (~((~(mult(mult(b, mult(mult(mult(a, b), a), c)), a) = mult(b, mult(a, mult(mult(mult(a, b), a), c))))) | (~(mult(mult(b, a), mult(mult(mult(a, b), a), c)) = mult(b, mult(mult(mult(mult(a, b), a), c), a))))))),
% 6.03/6.20 inference(rewrite,[status(thm)],[])).
% 6.03/6.20 tff(13183,plain,
% 6.03/6.20 (((~((~(mult(mult(b, mult(mult(mult(a, b), a), c)), a) = mult(b, mult(a, mult(mult(mult(a, b), a), c))))) | (~(mult(mult(b, a), mult(mult(mult(a, b), a), c)) = mult(b, mult(mult(mult(mult(a, b), a), c), a)))))) | (~((~(mult(mult(b, mult(mult(mult(a, b), a), c)), a) = mult(b, mult(mult(mult(mult(a, b), a), c), a)))) | (~(mult(mult(b, a), mult(mult(mult(a, b), a), c)) = mult(b, mult(a, mult(mult(mult(a, b), a), c)))))))) <=> ((~((~(mult(mult(b, mult(mult(mult(a, b), a), c)), a) = mult(b, mult(a, mult(mult(mult(a, b), a), c))))) | (~(mult(mult(b, a), mult(mult(mult(a, b), a), c)) = mult(b, mult(mult(mult(mult(a, b), a), c), a)))))) | (~((~(mult(mult(b, a), mult(mult(mult(a, b), a), c)) = mult(b, mult(a, mult(mult(mult(a, b), a), c))))) | (~(mult(mult(b, mult(mult(mult(a, b), a), c)), a) = mult(b, mult(mult(mult(mult(a, b), a), c), a)))))))),
% 6.03/6.20 inference(monotonicity,[status(thm)],[13182, 13181])).
% 6.03/6.20 tff(13184,plain,
% 6.03/6.20 (((~((~(mult(mult(b, mult(mult(mult(a, b), a), c)), a) = mult(b, mult(a, mult(mult(mult(a, b), a), c))))) | (~(mult(mult(b, a), mult(mult(mult(a, b), a), c)) = mult(b, mult(mult(mult(mult(a, b), a), c), a)))))) | (~((~(mult(mult(b, mult(mult(mult(a, b), a), c)), a) = mult(b, mult(mult(mult(mult(a, b), a), c), a)))) | (~(mult(mult(b, a), mult(mult(mult(a, b), a), c)) = mult(b, mult(a, mult(mult(mult(a, b), a), c)))))))) <=> ((~((~(mult(mult(b, mult(mult(mult(a, b), a), c)), a) = mult(b, mult(a, mult(mult(mult(a, b), a), c))))) | (~(mult(mult(b, a), mult(mult(mult(a, b), a), c)) = mult(b, mult(mult(mult(mult(a, b), a), c), a)))))) | (~((~(mult(mult(b, a), mult(mult(mult(a, b), a), c)) = mult(b, mult(a, mult(mult(mult(a, b), a), c))))) | (~(mult(mult(b, mult(mult(mult(a, b), a), c)), a) = mult(b, mult(mult(mult(mult(a, b), a), c), a)))))))),
% 6.03/6.20 inference(transitivity,[status(thm)],[13183, 13180])).
% 6.03/6.20 tff(13185,plain,
% 6.03/6.20 (((~![X0: $i, X1: $i, X2: $i] : ((~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X2, X1)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X1, X2)))))) | (~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X1, X2)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X2, X1)))))))) | ((~((~(mult(mult(b, mult(mult(mult(a, b), a), c)), a) = mult(b, mult(a, mult(mult(mult(a, b), a), c))))) | (~(mult(mult(b, a), mult(mult(mult(a, b), a), c)) = mult(b, mult(mult(mult(mult(a, b), a), c), a)))))) | (~((~(mult(mult(b, mult(mult(mult(a, b), a), c)), a) = mult(b, mult(mult(mult(mult(a, b), a), c), a)))) | (~(mult(mult(b, a), mult(mult(mult(a, b), a), c)) = mult(b, mult(a, mult(mult(mult(a, b), a), c))))))))) <=> ((~![X0: $i, X1: $i, X2: $i] : ((~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X2, X1)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X1, X2)))))) | (~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X1, X2)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X2, X1)))))))) | ((~((~(mult(mult(b, mult(mult(mult(a, b), a), c)), a) = mult(b, mult(a, mult(mult(mult(a, b), a), c))))) | (~(mult(mult(b, a), mult(mult(mult(a, b), a), c)) = mult(b, mult(mult(mult(mult(a, b), a), c), a)))))) | (~((~(mult(mult(b, a), mult(mult(mult(a, b), a), c)) = mult(b, mult(a, mult(mult(mult(a, b), a), c))))) | (~(mult(mult(b, mult(mult(mult(a, b), a), c)), a) = mult(b, mult(mult(mult(mult(a, b), a), c), a))))))))),
% 6.03/6.20 inference(monotonicity,[status(thm)],[13184])).
% 6.03/6.20 tff(13186,plain,
% 6.03/6.20 (((~![X0: $i, X1: $i, X2: $i] : ((~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X2, X1)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X1, X2)))))) | (~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X1, X2)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X2, X1)))))))) | ((~((~(mult(mult(b, mult(mult(mult(a, b), a), c)), a) = mult(b, mult(a, mult(mult(mult(a, b), a), c))))) | (~(mult(mult(b, a), mult(mult(mult(a, b), a), c)) = mult(b, mult(mult(mult(mult(a, b), a), c), a)))))) | (~((~(mult(mult(b, mult(mult(mult(a, b), a), c)), a) = mult(b, mult(mult(mult(mult(a, b), a), c), a)))) | (~(mult(mult(b, a), mult(mult(mult(a, b), a), c)) = mult(b, mult(a, mult(mult(mult(a, b), a), c))))))))) <=> ((~![X0: $i, X1: $i, X2: $i] : ((~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X2, X1)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X1, X2)))))) | (~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X1, X2)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X2, X1)))))))) | (~((~(mult(mult(b, mult(mult(mult(a, b), a), c)), a) = mult(b, mult(a, mult(mult(mult(a, b), a), c))))) | (~(mult(mult(b, a), mult(mult(mult(a, b), a), c)) = mult(b, mult(mult(mult(mult(a, b), a), c), a)))))) | (~((~(mult(mult(b, a), mult(mult(mult(a, b), a), c)) = mult(b, mult(a, mult(mult(mult(a, b), a), c))))) | (~(mult(mult(b, mult(mult(mult(a, b), a), c)), a) = mult(b, mult(mult(mult(mult(a, b), a), c), a)))))))),
% 6.03/6.20 inference(transitivity,[status(thm)],[13185, 13179])).
% 6.03/6.20 tff(13187,plain,
% 6.03/6.20 ((~![X0: $i, X1: $i, X2: $i] : ((~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X2, X1)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X1, X2)))))) | (~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X1, X2)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X2, X1)))))))) | ((~((~(mult(mult(b, mult(mult(mult(a, b), a), c)), a) = mult(b, mult(a, mult(mult(mult(a, b), a), c))))) | (~(mult(mult(b, a), mult(mult(mult(a, b), a), c)) = mult(b, mult(mult(mult(mult(a, b), a), c), a)))))) | (~((~(mult(mult(b, mult(mult(mult(a, b), a), c)), a) = mult(b, mult(mult(mult(mult(a, b), a), c), a)))) | (~(mult(mult(b, a), mult(mult(mult(a, b), a), c)) = mult(b, mult(a, mult(mult(mult(a, b), a), c))))))))),
% 6.03/6.20 inference(quant_inst,[status(thm)],[])).
% 6.03/6.20 tff(13188,plain,
% 6.03/6.20 ((~![X0: $i, X1: $i, X2: $i] : ((~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X2, X1)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X1, X2)))))) | (~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X1, X2)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X2, X1)))))))) | (~((~(mult(mult(b, mult(mult(mult(a, b), a), c)), a) = mult(b, mult(a, mult(mult(mult(a, b), a), c))))) | (~(mult(mult(b, a), mult(mult(mult(a, b), a), c)) = mult(b, mult(mult(mult(mult(a, b), a), c), a)))))) | (~((~(mult(mult(b, a), mult(mult(mult(a, b), a), c)) = mult(b, mult(a, mult(mult(mult(a, b), a), c))))) | (~(mult(mult(b, mult(mult(mult(a, b), a), c)), a) = mult(b, mult(mult(mult(mult(a, b), a), c), a))))))),
% 6.03/6.20 inference(modus_ponens,[status(thm)],[13187, 13186])).
% 6.03/6.20 tff(13189,plain,
% 6.03/6.20 ((~((~(mult(mult(b, mult(mult(mult(a, b), a), c)), a) = mult(b, mult(a, mult(mult(mult(a, b), a), c))))) | (~(mult(mult(b, a), mult(mult(mult(a, b), a), c)) = mult(b, mult(mult(mult(mult(a, b), a), c), a)))))) | (~((~(mult(mult(b, a), mult(mult(mult(a, b), a), c)) = mult(b, mult(a, mult(mult(mult(a, b), a), c))))) | (~(mult(mult(b, mult(mult(mult(a, b), a), c)), a) = mult(b, mult(mult(mult(mult(a, b), a), c), a))))))),
% 6.03/6.21 inference(unit_resolution,[status(thm)],[13188, 30])).
% 6.03/6.21 tff(13190,plain,
% 6.03/6.21 (~((~(mult(mult(b, a), mult(mult(mult(a, b), a), c)) = mult(b, mult(a, mult(mult(mult(a, b), a), c))))) | (~(mult(mult(b, mult(mult(mult(a, b), a), c)), a) = mult(b, mult(mult(mult(mult(a, b), a), c), a)))))),
% 6.03/6.21 inference(unit_resolution,[status(thm)],[13189, 13178])).
% 6.03/6.21 tff(13191,plain,
% 6.03/6.21 (((~(mult(mult(b, a), mult(mult(mult(a, b), a), c)) = mult(b, mult(a, mult(mult(mult(a, b), a), c))))) | (~(mult(mult(b, mult(mult(mult(a, b), a), c)), a) = mult(b, mult(mult(mult(mult(a, b), a), c), a))))) | (mult(mult(b, a), mult(mult(mult(a, b), a), c)) = mult(b, mult(a, mult(mult(mult(a, b), a), c))))),
% 6.03/6.21 inference(tautology,[status(thm)],[])).
% 6.03/6.21 tff(13192,plain,
% 6.03/6.21 (mult(mult(b, a), mult(mult(mult(a, b), a), c)) = mult(b, mult(a, mult(mult(mult(a, b), a), c)))),
% 6.03/6.21 inference(unit_resolution,[status(thm)],[13191, 13190])).
% 6.03/6.21 tff(13193,plain,
% 6.03/6.21 (mult(mult(b, a), mult(mult(mult(a, b), a), c)) = mult(b, mult(mult(mult(mult(a, b), a), c), a))),
% 6.03/6.21 inference(modus_ponens,[status(thm)],[13192, 13175])).
% 6.03/6.21 tff(13194,plain,
% 6.03/6.21 ($false),
% 6.03/6.21 inference(unit_resolution,[status(thm)],[13176, 13193])).
% 6.03/6.21 tff(13195,plain,((mult(mult(b, a), mult(mult(mult(a, b), a), c)) = mult(b, mult(mult(mult(mult(a, b), a), c), a))) | (~(mult(mult(mult(a, b), a), mult(a, c)) = mult(mult(a, b), mult(mult(a, c), a)))) | (~(mult(mult(mult(mult(a, a), b), a), c) = mult(mult(mult(a, a), b), mult(c, a)))) | (~(mult(mult(a, mult(mult(a, b), a)), c) = mult(a, mult(mult(mult(a, b), a), c)))) | (~(mult(mult(a, mult(b, a)), mult(a, c)) = mult(a, mult(mult(b, a), mult(a, c))))) | (~(mult(mult(mult(b, a), c), mult(mult(a, b), a)) = mult(mult(b, a), mult(mult(mult(a, b), a), c)))) | (~(mult(mult(mult(mult(b, a), mult(a, c)), b), a) = mult(mult(mult(b, a), mult(a, c)), mult(b, a)))) | (~(mult(mult(mult(b, a), mult(a, c)), mult(b, a)) = mult(mult(b, a), mult(mult(b, a), mult(a, c)))))), inference(lemma,lemma(discharge,[]))).
% 6.03/6.21 tff(13196,plain,
% 6.03/6.21 (mult(mult(b, a), mult(mult(mult(a, b), a), c)) = mult(b, mult(mult(mult(mult(a, b), a), c), a))),
% 6.03/6.21 inference(unit_resolution,[status(thm)],[13195, 13157, 13143, 13145, 13134, 10725, 13132, 13118])).
% 6.03/6.21 tff(13197,plain,
% 6.03/6.21 (mult(b, mult(mult(mult(mult(a, b), a), c), a)) = mult(mult(b, a), mult(mult(mult(a, b), a), c))),
% 6.03/6.21 inference(symmetry,[status(thm)],[13196])).
% 6.03/6.21 tff(13198,plain,
% 6.03/6.21 ((mult(b, mult(mult(mult(mult(a, b), a), c), a)) = mult(mult(b, a), mult(mult(mult(a, b), a), c))) <=> (mult(mult(b, a), mult(mult(mult(a, b), a), c)) = mult(b, mult(mult(mult(mult(a, b), a), c), a)))),
% 6.03/6.21 inference(commutativity,[status(thm)],[])).
% 6.03/6.21 tff(13199,plain,
% 6.03/6.21 (mult(mult(b, a), mult(b, mult(mult(a, c), a))) = mult(mult(b, a), mult(mult(mult(a, b), a), c))),
% 6.03/6.21 inference(transitivity,[status(thm)],[12203, 8736, 3535, 11131, 11165, 11610, 11252])).
% 6.03/6.21 tff(13200,plain,
% 6.03/6.21 (mult(mult(mult(b, a), b), mult(mult(a, c), a)) = mult(b, mult(mult(mult(mult(a, b), a), c), a))),
% 6.03/6.21 inference(transitivity,[status(thm)],[12778, 12804, 11582])).
% 6.03/6.21 tff(13201,plain,
% 6.03/6.21 ((mult(mult(mult(b, a), b), mult(mult(a, c), a)) = mult(mult(b, a), mult(b, mult(mult(a, c), a)))) <=> (mult(b, mult(mult(mult(mult(a, b), a), c), a)) = mult(mult(b, a), mult(mult(mult(a, b), a), c)))),
% 6.03/6.21 inference(monotonicity,[status(thm)],[13200, 13199])).
% 6.03/6.21 tff(13202,plain,
% 6.03/6.21 ((mult(mult(mult(b, a), b), mult(mult(a, c), a)) = mult(mult(b, a), mult(b, mult(mult(a, c), a)))) <=> (mult(mult(b, a), mult(mult(mult(a, b), a), c)) = mult(b, mult(mult(mult(mult(a, b), a), c), a)))),
% 6.03/6.21 inference(transitivity,[status(thm)],[13201, 13198])).
% 6.03/6.21 tff(13203,plain,
% 6.03/6.21 ((mult(mult(b, a), mult(mult(mult(a, b), a), c)) = mult(b, mult(mult(mult(mult(a, b), a), c), a))) <=> (mult(mult(mult(b, a), b), mult(mult(a, c), a)) = mult(mult(b, a), mult(b, mult(mult(a, c), a))))),
% 6.03/6.21 inference(symmetry,[status(thm)],[13202])).
% 6.03/6.21 tff(13204,assumption,(mult(mult(b, a), mult(mult(mult(a, b), a), c)) = mult(b, mult(mult(mult(mult(a, b), a), c), a))), introduced(assumption)).
% 6.03/6.21 tff(13205,plain,
% 6.03/6.21 (mult(mult(mult(b, a), b), mult(mult(a, c), a)) = mult(mult(b, a), mult(b, mult(mult(a, c), a)))),
% 6.03/6.21 inference(modus_ponens,[status(thm)],[13204, 13203])).
% 6.03/6.21 tff(13206,plain,
% 6.03/6.21 (mult(mult(mult(b, c), a), mult(mult(a, b), a)) = mult(mult(b, mult(c, a)), mult(mult(a, b), a))),
% 6.03/6.21 inference(transitivity,[status(thm)],[11199, 12806, 11547, 11581, 12805, 12777, 12803, 12203, 8736, 3535, 11131, 11165])).
% 6.03/6.21 tff(13207,plain,
% 6.03/6.21 (rd(mult(mult(mult(b, c), a), mult(mult(a, b), a)), mult(mult(a, b), a)) = rd(mult(mult(b, mult(c, a)), mult(mult(a, b), a)), mult(mult(a, b), a))),
% 6.03/6.21 inference(monotonicity,[status(thm)],[13206])).
% 6.03/6.21 tff(13208,plain,
% 6.03/6.21 (mult(mult(b, c), a) = mult(b, mult(c, a))),
% 6.03/6.21 inference(transitivity,[status(thm)],[11204, 13207, 11164])).
% 6.03/6.21 tff(13209,plain,
% 6.03/6.21 ($false),
% 6.03/6.21 inference(unit_resolution,[status(thm)],[3450, 13208])).
% 6.03/6.21 tff(13210,plain,((~(mult(mult(b, mult(a, c)), mult(mult(a, b), a)) = mult(b, mult(mult(mult(a, b), a), mult(a, c))))) | (mult(mult(b, c), a) = mult(b, mult(c, a))) | (~(mult(mult(mult(b, mult(c, a)), a), mult(b, a)) = mult(mult(b, mult(c, a)), mult(a, mult(b, a))))) | (~(mult(mult(b, mult(a, b)), mult(mult(a, c), a)) = mult(b, mult(mult(a, b), mult(mult(a, c), a))))) | (~(mult(mult(mult(b, a), b), mult(mult(a, c), a)) = mult(mult(b, a), mult(b, mult(mult(a, c), a))))) | (~(mult(mult(mult(b, a), mult(a, c)), mult(b, a)) = mult(mult(b, a), mult(mult(b, a), mult(a, c))))) | (~(mult(mult(b, mult(a, b)), a) = mult(b, mult(mult(a, b), a)))) | (~(mult(mult(mult(a, b), a), mult(a, c)) = mult(mult(a, b), mult(mult(a, c), a))))), inference(lemma,lemma(discharge,[]))).
% 6.03/6.21 tff(13211,plain,
% 6.03/6.21 (~(mult(mult(b, mult(a, c)), mult(mult(a, b), a)) = mult(b, mult(mult(mult(a, b), a), mult(a, c))))),
% 6.03/6.21 inference(unit_resolution,[status(thm)],[13210, 12804, 11131, 3450, 13205, 8734, 11026, 11017])).
% 6.03/6.21 tff(13212,plain,
% 6.03/6.21 (((~(mult(mult(b, mult(mult(a, b), a)), mult(a, c)) = mult(b, mult(mult(a, c), mult(mult(a, b), a))))) | (~(mult(mult(b, mult(a, c)), mult(mult(a, b), a)) = mult(b, mult(mult(mult(a, b), a), mult(a, c)))))) | (mult(mult(b, mult(a, c)), mult(mult(a, b), a)) = mult(b, mult(mult(mult(a, b), a), mult(a, c))))),
% 6.03/6.21 inference(tautology,[status(thm)],[])).
% 6.03/6.21 tff(13213,plain,
% 6.03/6.21 ((~(mult(mult(b, mult(mult(a, b), a)), mult(a, c)) = mult(b, mult(mult(a, c), mult(mult(a, b), a))))) | (~(mult(mult(b, mult(a, c)), mult(mult(a, b), a)) = mult(b, mult(mult(mult(a, b), a), mult(a, c)))))),
% 6.03/6.21 inference(unit_resolution,[status(thm)],[13212, 13211])).
% 6.03/6.21 tff(13214,plain,
% 6.03/6.21 (((~![X0: $i, X1: $i, X2: $i] : ((~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X2, X1)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X1, X2)))))) | (~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X1, X2)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X2, X1)))))))) | ((~((~(mult(mult(b, mult(mult(a, b), a)), mult(a, c)) = mult(b, mult(mult(a, c), mult(mult(a, b), a))))) | (~(mult(mult(b, mult(a, c)), mult(mult(a, b), a)) = mult(b, mult(mult(mult(a, b), a), mult(a, c))))))) | (~((~(mult(mult(b, mult(mult(a, b), a)), mult(a, c)) = mult(b, mult(mult(mult(a, b), a), mult(a, c))))) | (~(mult(mult(b, mult(a, c)), mult(mult(a, b), a)) = mult(b, mult(mult(a, c), mult(mult(a, b), a))))))))) <=> ((~![X0: $i, X1: $i, X2: $i] : ((~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X2, X1)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X1, X2)))))) | (~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X1, X2)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X2, X1)))))))) | (~((~(mult(mult(b, mult(mult(a, b), a)), mult(a, c)) = mult(b, mult(mult(a, c), mult(mult(a, b), a))))) | (~(mult(mult(b, mult(a, c)), mult(mult(a, b), a)) = mult(b, mult(mult(mult(a, b), a), mult(a, c))))))) | (~((~(mult(mult(b, mult(mult(a, b), a)), mult(a, c)) = mult(b, mult(mult(mult(a, b), a), mult(a, c))))) | (~(mult(mult(b, mult(a, c)), mult(mult(a, b), a)) = mult(b, mult(mult(a, c), mult(mult(a, b), a))))))))),
% 6.03/6.21 inference(rewrite,[status(thm)],[])).
% 6.03/6.21 tff(13215,plain,
% 6.03/6.21 ((~![X0: $i, X1: $i, X2: $i] : ((~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X2, X1)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X1, X2)))))) | (~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X1, X2)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X2, X1)))))))) | ((~((~(mult(mult(b, mult(mult(a, b), a)), mult(a, c)) = mult(b, mult(mult(a, c), mult(mult(a, b), a))))) | (~(mult(mult(b, mult(a, c)), mult(mult(a, b), a)) = mult(b, mult(mult(mult(a, b), a), mult(a, c))))))) | (~((~(mult(mult(b, mult(mult(a, b), a)), mult(a, c)) = mult(b, mult(mult(mult(a, b), a), mult(a, c))))) | (~(mult(mult(b, mult(a, c)), mult(mult(a, b), a)) = mult(b, mult(mult(a, c), mult(mult(a, b), a))))))))),
% 6.03/6.21 inference(quant_inst,[status(thm)],[])).
% 6.03/6.21 tff(13216,plain,
% 6.03/6.21 ((~![X0: $i, X1: $i, X2: $i] : ((~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X2, X1)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X1, X2)))))) | (~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X1, X2)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X2, X1)))))))) | (~((~(mult(mult(b, mult(mult(a, b), a)), mult(a, c)) = mult(b, mult(mult(a, c), mult(mult(a, b), a))))) | (~(mult(mult(b, mult(a, c)), mult(mult(a, b), a)) = mult(b, mult(mult(mult(a, b), a), mult(a, c))))))) | (~((~(mult(mult(b, mult(mult(a, b), a)), mult(a, c)) = mult(b, mult(mult(mult(a, b), a), mult(a, c))))) | (~(mult(mult(b, mult(a, c)), mult(mult(a, b), a)) = mult(b, mult(mult(a, c), mult(mult(a, b), a)))))))),
% 6.03/6.21 inference(modus_ponens,[status(thm)],[13215, 13214])).
% 6.03/6.21 tff(13217,plain,
% 6.03/6.21 ((~((~(mult(mult(b, mult(mult(a, b), a)), mult(a, c)) = mult(b, mult(mult(a, c), mult(mult(a, b), a))))) | (~(mult(mult(b, mult(a, c)), mult(mult(a, b), a)) = mult(b, mult(mult(mult(a, b), a), mult(a, c))))))) | (~((~(mult(mult(b, mult(mult(a, b), a)), mult(a, c)) = mult(b, mult(mult(mult(a, b), a), mult(a, c))))) | (~(mult(mult(b, mult(a, c)), mult(mult(a, b), a)) = mult(b, mult(mult(a, c), mult(mult(a, b), a)))))))),
% 6.03/6.21 inference(unit_resolution,[status(thm)],[13216, 30])).
% 6.03/6.21 tff(13218,plain,
% 6.03/6.21 (~((~(mult(mult(b, mult(mult(a, b), a)), mult(a, c)) = mult(b, mult(mult(mult(a, b), a), mult(a, c))))) | (~(mult(mult(b, mult(a, c)), mult(mult(a, b), a)) = mult(b, mult(mult(a, c), mult(mult(a, b), a))))))),
% 6.03/6.21 inference(unit_resolution,[status(thm)],[13217, 13213])).
% 6.03/6.21 tff(13219,plain,
% 6.03/6.21 (((~(mult(mult(b, mult(mult(a, b), a)), mult(a, c)) = mult(b, mult(mult(mult(a, b), a), mult(a, c))))) | (~(mult(mult(b, mult(a, c)), mult(mult(a, b), a)) = mult(b, mult(mult(a, c), mult(mult(a, b), a)))))) | (mult(mult(b, mult(mult(a, b), a)), mult(a, c)) = mult(b, mult(mult(mult(a, b), a), mult(a, c))))),
% 6.03/6.21 inference(tautology,[status(thm)],[])).
% 6.03/6.21 tff(13220,plain,
% 6.03/6.21 (mult(mult(b, mult(mult(a, b), a)), mult(a, c)) = mult(b, mult(mult(mult(a, b), a), mult(a, c)))),
% 6.03/6.21 inference(unit_resolution,[status(thm)],[13219, 13218])).
% 6.03/6.21 tff(13221,plain,
% 6.03/6.21 (mult(mult(mult(b, a), mult(b, a)), mult(a, c)) = mult(mult(mult(b, a), mult(a, c)), mult(b, a))),
% 6.03/6.21 inference(transitivity,[status(thm)],[11179, 13220, 11547, 11581, 12805, 12777, 13205, 12203, 8736])).
% 6.03/6.21 tff(13222,plain,
% 6.03/6.21 ((mult(mult(mult(b, a), mult(b, a)), mult(a, c)) = mult(mult(b, a), mult(mult(a, c), mult(b, a)))) <=> (mult(mult(mult(b, a), mult(a, c)), mult(b, a)) = mult(mult(b, a), mult(mult(a, c), mult(b, a))))),
% 6.03/6.21 inference(monotonicity,[status(thm)],[13221])).
% 6.03/6.21 tff(13223,plain,
% 6.03/6.21 ((mult(mult(mult(b, a), mult(a, c)), mult(b, a)) = mult(mult(b, a), mult(mult(a, c), mult(b, a)))) <=> (mult(mult(mult(b, a), mult(b, a)), mult(a, c)) = mult(mult(b, a), mult(mult(a, c), mult(b, a))))),
% 6.03/6.21 inference(symmetry,[status(thm)],[13222])).
% 6.03/6.21 tff(13224,assumption,(~(mult(mult(mult(b, a), mult(a, c)), mult(b, a)) = mult(mult(b, a), mult(mult(a, c), mult(b, a))))), introduced(assumption)).
% 6.03/6.21 tff(13225,plain,
% 6.03/6.21 ((~(mult(mult(mult(b, a), mult(a, c)), mult(b, a)) = mult(mult(b, a), mult(mult(a, c), mult(b, a))))) | (~(mult(mult(mult(b, a), mult(b, a)), mult(a, c)) = mult(mult(b, a), mult(mult(b, a), mult(a, c)))))),
% 6.03/6.21 inference(unit_resolution,[status(thm)],[11151, 13224])).
% 6.03/6.21 tff(13226,plain,
% 6.03/6.21 (~((~(mult(mult(mult(b, a), mult(b, a)), mult(a, c)) = mult(mult(b, a), mult(mult(a, c), mult(b, a))))) | (~(mult(mult(mult(b, a), mult(a, c)), mult(b, a)) = mult(mult(b, a), mult(mult(b, a), mult(a, c))))))),
% 6.03/6.21 inference(unit_resolution,[status(thm)],[11149, 13225])).
% 6.03/6.21 tff(13227,plain,
% 6.03/6.21 (mult(mult(mult(b, a), mult(b, a)), mult(a, c)) = mult(mult(b, a), mult(mult(a, c), mult(b, a)))),
% 6.03/6.21 inference(unit_resolution,[status(thm)],[11995, 13226])).
% 6.03/6.21 tff(13228,assumption,(mult(mult(b, mult(mult(a, b), a)), mult(a, c)) = mult(b, mult(mult(mult(a, b), a), mult(a, c)))), introduced(assumption)).
% 6.03/6.21 tff(13229,plain,
% 6.03/6.21 (mult(b, mult(mult(mult(a, b), a), mult(a, c))) = mult(mult(b, mult(mult(a, b), a)), mult(a, c))),
% 6.03/6.21 inference(symmetry,[status(thm)],[13228])).
% 6.03/6.21 tff(13230,plain,
% 6.03/6.21 (mult(b, mult(mult(mult(mult(a, b), a), c), a)) = mult(mult(b, a), mult(mult(a, c), mult(b, a)))),
% 6.03/6.21 inference(transitivity,[status(thm)],[12125, 13229, 12042, 13227])).
% 6.03/6.21 tff(13231,plain,
% 6.03/6.21 (mult(mult(b, a), mult(mult(mult(a, b), a), c)) = mult(mult(mult(b, a), mult(a, c)), mult(b, a))),
% 6.03/6.21 inference(transitivity,[status(thm)],[11253, 11155, 11154, 11153, 3534])).
% 6.03/6.21 tff(13232,plain,
% 6.03/6.21 ((mult(mult(b, a), mult(mult(mult(a, b), a), c)) = mult(b, mult(mult(mult(mult(a, b), a), c), a))) <=> (mult(mult(mult(b, a), mult(a, c)), mult(b, a)) = mult(mult(b, a), mult(mult(a, c), mult(b, a))))),
% 6.03/6.21 inference(monotonicity,[status(thm)],[13231, 13230])).
% 6.03/6.21 tff(13233,plain,
% 6.03/6.21 ((mult(mult(mult(b, a), mult(a, c)), mult(b, a)) = mult(mult(b, a), mult(mult(a, c), mult(b, a)))) <=> (mult(mult(b, a), mult(mult(mult(a, b), a), c)) = mult(b, mult(mult(mult(mult(a, b), a), c), a)))),
% 6.03/6.21 inference(symmetry,[status(thm)],[13232])).
% 6.03/6.21 tff(13234,plain,
% 6.03/6.21 ((~(mult(mult(mult(b, a), mult(a, c)), mult(b, a)) = mult(mult(b, a), mult(mult(a, c), mult(b, a))))) <=> (~(mult(mult(b, a), mult(mult(mult(a, b), a), c)) = mult(b, mult(mult(mult(mult(a, b), a), c), a))))),
% 6.03/6.21 inference(monotonicity,[status(thm)],[13233])).
% 6.03/6.21 tff(13235,plain,
% 6.03/6.21 (~(mult(mult(b, a), mult(mult(mult(a, b), a), c)) = mult(b, mult(mult(mult(mult(a, b), a), c), a)))),
% 6.03/6.21 inference(modus_ponens,[status(thm)],[13224, 13234])).
% 6.03/6.21 tff(13236,plain,
% 6.03/6.21 ($false),
% 6.03/6.21 inference(unit_resolution,[status(thm)],[13204, 13235])).
% 6.03/6.21 tff(13237,plain,((~(mult(mult(b, mult(mult(a, b), a)), mult(a, c)) = mult(b, mult(mult(mult(a, b), a), mult(a, c))))) | (~(mult(mult(b, a), mult(mult(mult(a, b), a), c)) = mult(b, mult(mult(mult(mult(a, b), a), c), a)))) | (mult(mult(mult(b, a), mult(a, c)), mult(b, a)) = mult(mult(b, a), mult(mult(a, c), mult(b, a)))) | (~(mult(mult(mult(b, a), b), a) = mult(mult(b, a), mult(b, a)))) | (~(mult(mult(mult(a, b), a), mult(a, c)) = mult(mult(a, b), mult(mult(a, c), a)))) | (~(mult(mult(mult(b, a), c), mult(mult(a, b), a)) = mult(mult(b, a), mult(mult(mult(a, b), a), c)))) | (~(mult(mult(mult(b, mult(c, a)), a), mult(b, a)) = mult(mult(b, mult(c, a)), mult(a, mult(b, a)))))), inference(lemma,lemma(discharge,[]))).
% 6.03/6.21 tff(13238,plain,
% 6.03/6.21 (mult(mult(mult(b, a), mult(a, c)), mult(b, a)) = mult(mult(b, a), mult(mult(a, c), mult(b, a)))),
% 6.03/6.21 inference(unit_resolution,[status(thm)],[13237, 13220, 13204, 11025, 11017, 11252, 11131])).
% 6.03/6.21 tff(13239,plain,
% 6.03/6.21 (mult(mult(mult(b, a), mult(b, a)), mult(a, c)) = mult(mult(b, a), mult(mult(a, c), mult(b, a)))),
% 6.03/6.21 inference(modus_ponens,[status(thm)],[13238, 13223])).
% 6.03/6.21 tff(13240,plain,
% 6.03/6.21 (mult(mult(b, a), mult(mult(a, c), mult(b, a))) = mult(mult(mult(b, a), mult(b, a)), mult(a, c))),
% 6.03/6.21 inference(symmetry,[status(thm)],[13239])).
% 6.03/6.21 tff(13241,plain,
% 6.03/6.21 (mult(mult(b, a), mult(a, mult(mult(c, a), b))) = mult(mult(b, a), mult(mult(b, a), mult(a, c)))),
% 6.03/6.21 inference(transitivity,[status(thm)],[11134, 13240, 11179, 13220, 11547, 11581, 12805, 12777, 13205, 12203])).
% 6.03/6.21 tff(13242,plain,
% 6.03/6.21 (ld(mult(b, a), mult(mult(b, a), mult(a, mult(mult(c, a), b)))) = ld(mult(b, a), mult(mult(b, a), mult(mult(b, a), mult(a, c))))),
% 6.03/6.21 inference(monotonicity,[status(thm)],[13241])).
% 6.03/6.21 tff(13243,plain,
% 6.03/6.21 (ld(mult(b, a), mult(mult(b, a), mult(mult(b, a), mult(a, c)))) = ld(mult(b, a), mult(mult(b, a), mult(a, mult(mult(c, a), b))))),
% 6.03/6.21 inference(symmetry,[status(thm)],[13242])).
% 6.03/6.22 tff(13244,plain,
% 6.03/6.22 (mult(mult(a, mult(b, a)), c) = mult(a, mult(c, mult(b, a)))),
% 6.03/6.22 inference(transitivity,[status(thm)],[8336, 11244, 11255, 13243, 11133, 2430])).
% 6.03/6.22 tff(13245,plain,
% 6.03/6.22 ($false),
% 6.03/6.22 inference(unit_resolution,[status(thm)],[10743, 13244])).
% 6.03/6.22 tff(13246,plain,((~(mult(mult(b, mult(a, b)), mult(mult(a, c), a)) = mult(b, mult(mult(a, b), mult(mult(a, c), a))))) | (mult(mult(a, mult(b, a)), c) = mult(a, mult(c, mult(b, a)))) | (~(mult(mult(b, mult(a, b)), a) = mult(b, mult(mult(a, b), a)))) | (~(mult(mult(mult(a, b), a), mult(a, c)) = mult(mult(a, b), mult(mult(a, c), a)))) | (~(mult(mult(mult(b, a), b), a) = mult(mult(b, a), mult(b, a)))) | (~(mult(mult(a, c), mult(b, a)) = mult(a, mult(c, mult(b, a))))) | (~(mult(mult(c, a), b) = mult(c, mult(b, a)))) | (~(mult(mult(mult(b, a), c), mult(mult(a, b), a)) = mult(mult(b, a), mult(mult(mult(a, b), a), c)))) | (~(mult(mult(mult(b, mult(c, a)), a), mult(b, a)) = mult(mult(b, mult(c, a)), mult(a, mult(b, a))))) | (~(mult(mult(mult(b, a), mult(a, c)), mult(b, a)) = mult(mult(b, a), mult(mult(b, a), mult(a, c))))) | (~(mult(mult(b, a), mult(mult(mult(a, b), a), c)) = mult(b, mult(mult(mult(mult(a, b), a), c), a)))) | (mult(mult(b, c), a) = mult(b, mult(c, a)))), inference(lemma,lemma(discharge,[]))).
% 6.03/6.22 tff(13247,plain,
% 6.03/6.22 (~(mult(mult(b, mult(a, b)), mult(mult(a, c), a)) = mult(b, mult(mult(a, b), mult(mult(a, c), a))))),
% 6.03/6.22 inference(unit_resolution,[status(thm)],[13246, 9293, 10688, 10725, 10673, 9244, 3071, 13132, 13106, 13118, 13196, 13113])).
% 6.03/6.22 tff(13248,plain,
% 6.03/6.22 ((~(mult(mult(b, mult(a, b)), mult(mult(a, c), a)) = mult(b, mult(mult(a, b), mult(mult(a, c), a))))) | (~(mult(mult(b, mult(mult(a, c), a)), mult(a, b)) = mult(b, mult(mult(mult(a, c), a), mult(a, b)))))),
% 6.03/6.22 inference(unit_resolution,[status(thm)],[12775, 13247])).
% 6.03/6.22 tff(13249,plain,
% 6.03/6.22 (~((~(mult(mult(b, mult(a, b)), mult(mult(a, c), a)) = mult(b, mult(mult(mult(a, c), a), mult(a, b))))) | (~(mult(mult(b, mult(mult(a, c), a)), mult(a, b)) = mult(b, mult(mult(a, b), mult(mult(a, c), a))))))),
% 6.03/6.22 inference(unit_resolution,[status(thm)],[11527, 30, 13248])).
% 6.03/6.22 tff(13250,plain,
% 6.03/6.22 (mult(mult(b, mult(mult(a, c), a)), mult(a, b)) = mult(b, mult(mult(a, b), mult(mult(a, c), a)))),
% 6.03/6.22 inference(unit_resolution,[status(thm)],[11530, 13249])).
% 6.03/6.22 tff(13251,plain,
% 6.03/6.22 (mult(mult(mult(b, a), mult(a, c)), mult(a, b)) = mult(mult(mult(b, a), mult(a, c)), mult(b, a))),
% 6.03/6.22 inference(transitivity,[status(thm)],[11391, 13250, 11533, 13197, 13133, 11155, 11154, 13107, 3534])).
% 6.03/6.22 tff(13252,plain,
% 6.03/6.22 (ld(mult(mult(b, a), mult(a, c)), mult(mult(mult(b, a), mult(a, c)), mult(a, b))) = ld(mult(mult(b, a), mult(a, c)), mult(mult(mult(b, a), mult(a, c)), mult(b, a)))),
% 6.03/6.22 inference(monotonicity,[status(thm)],[13251])).
% 6.03/6.22 tff(13253,plain,
% 6.03/6.22 ((~![B: $i, A: $i] : (ld(A, mult(A, B)) = B)) | (ld(mult(mult(b, a), mult(a, c)), mult(mult(mult(b, a), mult(a, c)), mult(a, b))) = mult(a, b))),
% 6.03/6.22 inference(quant_inst,[status(thm)],[])).
% 6.03/6.22 tff(13254,plain,
% 6.03/6.22 (ld(mult(mult(b, a), mult(a, c)), mult(mult(mult(b, a), mult(a, c)), mult(a, b))) = mult(a, b)),
% 6.03/6.22 inference(unit_resolution,[status(thm)],[13253, 9])).
% 6.03/6.22 tff(13255,plain,
% 6.03/6.22 (mult(a, b) = ld(mult(mult(b, a), mult(a, c)), mult(mult(mult(b, a), mult(a, c)), mult(a, b)))),
% 6.03/6.22 inference(symmetry,[status(thm)],[13254])).
% 6.03/6.22 tff(13256,plain,
% 6.03/6.22 (mult(a, b) = mult(b, a)),
% 6.03/6.22 inference(transitivity,[status(thm)],[13255, 13252, 9068])).
% 6.03/6.22 tff(13257,plain,
% 6.03/6.22 ($false),
% 6.03/6.22 inference(unit_resolution,[status(thm)],[1, 13256])).
% 6.03/6.22 tff(13258,plain,((mult(mult(a, mult(c, a)), b) = mult(a, mult(b, mult(c, a)))) | (mult(a, b) = mult(b, a)) | (mult(mult(c, a), b) = mult(c, mult(a, b)))), inference(lemma,lemma(discharge,[]))).
% 6.03/6.22 tff(13259,plain,
% 6.03/6.22 (mult(mult(a, mult(c, a)), b) = mult(a, mult(b, mult(c, a)))),
% 6.03/6.22 inference(unit_resolution,[status(thm)],[13258, 570, 1])).
% 6.03/6.22 tff(13260,plain,
% 6.03/6.22 (mult(a, mult(c, mult(a, b))) = mult(mult(a, c), mult(a, b))),
% 6.03/6.22 inference(symmetry,[status(thm)],[9004])).
% 6.03/6.22 tff(13261,plain,
% 6.03/6.22 (mult(mult(a, c), mult(b, a)) = mult(mult(a, c), mult(a, b))),
% 6.03/6.22 inference(transitivity,[status(thm)],[153, 9005, 8184, 1434, 13260])).
% 6.03/6.22 tff(13262,plain,
% 6.03/6.22 (ld(mult(a, c), mult(mult(a, c), mult(b, a))) = ld(mult(a, c), mult(mult(a, c), mult(a, b)))),
% 6.03/6.22 inference(monotonicity,[status(thm)],[13261])).
% 6.03/6.22 tff(13263,plain,
% 6.03/6.22 (ld(mult(a, c), mult(mult(a, c), mult(a, b))) = ld(mult(a, c), mult(mult(a, c), mult(b, a)))),
% 6.03/6.22 inference(symmetry,[status(thm)],[13262])).
% 6.03/6.22 tff(13264,plain,
% 6.03/6.22 (mult(a, b) = mult(b, a)),
% 6.03/6.22 inference(transitivity,[status(thm)],[2369, 13263, 2364])).
% 6.03/6.22 tff(13265,plain,
% 6.03/6.22 ($false),
% 6.03/6.22 inference(unit_resolution,[status(thm)],[1, 13264])).
% 6.03/6.22 tff(13266,plain,((~(mult(mult(mult(a, c), b), a) = mult(mult(a, c), mult(b, a)))) | (mult(a, b) = mult(b, a)) | (~(mult(mult(c, b), a) = mult(c, mult(a, b))))), inference(lemma,lemma(discharge,[]))).
% 6.03/6.22 tff(13267,plain,
% 6.03/6.22 (~(mult(mult(mult(a, c), b), a) = mult(mult(a, c), mult(b, a)))),
% 6.03/6.22 inference(unit_resolution,[status(thm)],[13266, 1595, 1])).
% 6.03/6.22 tff(13268,plain,
% 6.03/6.22 (~(mult(mult(mult(a, c), mult(a, b)), a) = mult(mult(a, c), mult(mult(a, b), a)))),
% 6.03/6.22 inference(unit_resolution,[status(thm)],[1542, 13267])).
% 6.03/6.22 tff(13269,plain,
% 6.03/6.22 ((~(mult(mult(mult(a, c), a), mult(a, b)) = mult(mult(a, c), mult(a, mult(a, b))))) | (~(mult(mult(mult(a, c), mult(a, b)), a) = mult(mult(a, c), mult(mult(a, b), a))))),
% 6.03/6.22 inference(unit_resolution,[status(thm)],[1547, 13268])).
% 6.03/6.22 tff(13270,plain,
% 6.03/6.22 (mult(mult(mult(a, c), a), mult(a, b)) = mult(mult(a, c), mult(mult(a, b), a))),
% 6.03/6.22 inference(unit_resolution,[status(thm)],[6853, 13269])).
% 6.03/6.22 tff(13271,plain,
% 6.03/6.22 ((mult(a, mult(mult(mult(a, b), a), c)) = mult(mult(a, c), mult(mult(a, b), a))) <=> (mult(mult(a, c), mult(mult(a, b), a)) = mult(a, mult(mult(mult(a, b), a), c)))),
% 6.03/6.22 inference(commutativity,[status(thm)],[])).
% 6.03/6.22 tff(13272,plain,
% 6.03/6.22 (mult(a, mult(mult(c, a), mult(a, b))) = mult(a, mult(c, mult(mult(a, b), a)))),
% 6.03/6.22 inference(transitivity,[status(thm)],[10862, 11036])).
% 6.03/6.22 tff(13273,plain,
% 6.03/6.22 ((~(mult(mult(a, mult(c, a)), b) = mult(a, mult(b, mult(c, a))))) | (mult(mult(a, c), mult(b, a)) = mult(a, mult(mult(b, a), c))) | (~(mult(mult(mult(a, c), a), b) = mult(mult(a, c), mult(b, a)))) | (~(mult(mult(b, mult(c, a)), a) = mult(b, mult(a, mult(c, a)))))),
% 6.03/6.22 inference(unit_resolution,[status(thm)],[10751, 3427])).
% 6.03/6.22 tff(13274,plain,
% 6.03/6.22 ((~(mult(mult(a, mult(c, a)), b) = mult(a, mult(b, mult(c, a))))) | (mult(mult(a, c), mult(b, a)) = mult(a, mult(mult(b, a), c))) | (~(mult(mult(mult(a, c), a), b) = mult(mult(a, c), mult(b, a))))),
% 6.03/6.22 inference(unit_resolution,[status(thm)],[13273, 4679])).
% 6.03/6.22 tff(13275,plain,
% 6.03/6.22 (mult(mult(a, c), mult(b, a)) = mult(a, mult(mult(b, a), c))),
% 6.03/6.22 inference(unit_resolution,[status(thm)],[13274, 1736, 1362])).
% 6.03/6.22 tff(13276,plain,
% 6.03/6.22 (mult(a, mult(mult(b, a), c)) = mult(mult(a, c), mult(b, a))),
% 6.03/6.22 inference(symmetry,[status(thm)],[13275])).
% 6.03/6.22 tff(13277,plain,
% 6.03/6.22 (mult(a, mult(b, mult(c, a))) = mult(a, mult(mult(b, a), c))),
% 6.03/6.22 inference(monotonicity,[status(thm)],[3531])).
% 6.03/6.22 tff(13278,plain,
% 6.03/6.22 (mult(mult(a, mult(c, a)), b) = mult(mult(mult(a, c), a), b)),
% 6.03/6.22 inference(transitivity,[status(thm)],[1736, 13277, 13276, 1720])).
% 6.03/6.22 tff(13279,plain,
% 6.03/6.22 (rd(mult(mult(a, mult(c, a)), b), b) = rd(mult(mult(mult(a, c), a), b), b)),
% 6.03/6.22 inference(monotonicity,[status(thm)],[13278])).
% 6.03/6.22 tff(13280,plain,
% 6.03/6.22 (mult(a, mult(c, a)) = mult(mult(a, c), a)),
% 6.03/6.22 inference(transitivity,[status(thm)],[920, 13279, 1636])).
% 6.03/6.22 tff(13281,plain,
% 6.03/6.22 (mult(mult(a, mult(c, a)), mult(a, b)) = mult(mult(mult(a, c), a), mult(a, b))),
% 6.03/6.22 inference(monotonicity,[status(thm)],[13280])).
% 6.03/6.22 tff(13282,plain,
% 6.03/6.22 (mult(mult(a, mult(c, a)), mult(a, b)) = mult(mult(a, c), mult(mult(a, b), a))),
% 6.03/6.22 inference(transitivity,[status(thm)],[13281, 10864])).
% 6.03/6.22 tff(13283,plain,
% 6.03/6.22 ((mult(mult(a, mult(c, a)), mult(a, b)) = mult(a, mult(mult(c, a), mult(a, b)))) <=> (mult(mult(a, c), mult(mult(a, b), a)) = mult(a, mult(c, mult(mult(a, b), a))))),
% 6.03/6.22 inference(monotonicity,[status(thm)],[13282, 13272])).
% 6.03/6.22 tff(13284,plain,
% 6.03/6.22 ((mult(mult(a, c), mult(mult(a, b), a)) = mult(a, mult(c, mult(mult(a, b), a)))) <=> (mult(mult(a, mult(c, a)), mult(a, b)) = mult(a, mult(mult(c, a), mult(a, b))))),
% 6.03/6.22 inference(symmetry,[status(thm)],[13283])).
% 6.03/6.22 tff(13285,plain,
% 6.03/6.22 ((~(mult(mult(a, c), mult(mult(a, b), a)) = mult(a, mult(c, mult(mult(a, b), a))))) <=> (~(mult(mult(a, mult(c, a)), mult(a, b)) = mult(a, mult(mult(c, a), mult(a, b)))))),
% 6.03/6.22 inference(monotonicity,[status(thm)],[13284])).
% 6.03/6.22 tff(13286,plain,
% 6.03/6.22 (~(mult(mult(a, mult(c, a)), mult(a, b)) = mult(a, mult(mult(c, a), mult(a, b))))),
% 6.03/6.22 inference(modus_ponens,[status(thm)],[10833, 13285])).
% 6.03/6.22 tff(13287,plain,
% 6.03/6.22 (((~(mult(mult(a, c), mult(mult(a, b), a)) = mult(a, mult(c, mult(mult(a, b), a))))) | (~(mult(mult(a, mult(mult(a, b), a)), c) = mult(a, mult(mult(mult(a, b), a), c))))) | (mult(mult(a, c), mult(mult(a, b), a)) = mult(a, mult(c, mult(mult(a, b), a))))),
% 6.03/6.22 inference(tautology,[status(thm)],[])).
% 6.03/6.22 tff(13288,plain,
% 6.03/6.22 ((~(mult(mult(a, c), mult(mult(a, b), a)) = mult(a, mult(c, mult(mult(a, b), a))))) | (~(mult(mult(a, mult(mult(a, b), a)), c) = mult(a, mult(mult(mult(a, b), a), c))))),
% 6.03/6.22 inference(unit_resolution,[status(thm)],[13287, 10833])).
% 6.03/6.22 tff(13289,assumption,((~(mult(mult(a, c), mult(mult(a, b), a)) = mult(a, mult(mult(mult(a, b), a), c)))) | (~(mult(mult(a, mult(mult(a, b), a)), c) = mult(a, mult(c, mult(mult(a, b), a)))))), introduced(assumption)).
% 6.03/6.22 tff(13290,plain,
% 6.03/6.22 (((~![X0: $i, X1: $i, X2: $i] : ((~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X2, X1)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X1, X2)))))) | (~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X1, X2)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X2, X1)))))))) | ((~((~(mult(mult(a, c), mult(mult(a, b), a)) = mult(a, mult(mult(mult(a, b), a), c)))) | (~(mult(mult(a, mult(mult(a, b), a)), c) = mult(a, mult(c, mult(mult(a, b), a))))))) | (~((~(mult(mult(a, c), mult(mult(a, b), a)) = mult(a, mult(c, mult(mult(a, b), a))))) | (~(mult(mult(a, mult(mult(a, b), a)), c) = mult(a, mult(mult(mult(a, b), a), c)))))))) <=> ((~![X0: $i, X1: $i, X2: $i] : ((~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X2, X1)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X1, X2)))))) | (~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X1, X2)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X2, X1)))))))) | (~((~(mult(mult(a, c), mult(mult(a, b), a)) = mult(a, mult(mult(mult(a, b), a), c)))) | (~(mult(mult(a, mult(mult(a, b), a)), c) = mult(a, mult(c, mult(mult(a, b), a))))))) | (~((~(mult(mult(a, c), mult(mult(a, b), a)) = mult(a, mult(c, mult(mult(a, b), a))))) | (~(mult(mult(a, mult(mult(a, b), a)), c) = mult(a, mult(mult(mult(a, b), a), c)))))))),
% 6.03/6.22 inference(rewrite,[status(thm)],[])).
% 6.03/6.22 tff(13291,plain,
% 6.03/6.22 ((~![X0: $i, X1: $i, X2: $i] : ((~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X2, X1)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X1, X2)))))) | (~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X1, X2)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X2, X1)))))))) | ((~((~(mult(mult(a, c), mult(mult(a, b), a)) = mult(a, mult(mult(mult(a, b), a), c)))) | (~(mult(mult(a, mult(mult(a, b), a)), c) = mult(a, mult(c, mult(mult(a, b), a))))))) | (~((~(mult(mult(a, c), mult(mult(a, b), a)) = mult(a, mult(c, mult(mult(a, b), a))))) | (~(mult(mult(a, mult(mult(a, b), a)), c) = mult(a, mult(mult(mult(a, b), a), c)))))))),
% 6.03/6.22 inference(quant_inst,[status(thm)],[])).
% 6.03/6.22 tff(13292,plain,
% 6.03/6.22 ((~![X0: $i, X1: $i, X2: $i] : ((~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X2, X1)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X1, X2)))))) | (~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X1, X2)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X2, X1)))))))) | (~((~(mult(mult(a, c), mult(mult(a, b), a)) = mult(a, mult(mult(mult(a, b), a), c)))) | (~(mult(mult(a, mult(mult(a, b), a)), c) = mult(a, mult(c, mult(mult(a, b), a))))))) | (~((~(mult(mult(a, c), mult(mult(a, b), a)) = mult(a, mult(c, mult(mult(a, b), a))))) | (~(mult(mult(a, mult(mult(a, b), a)), c) = mult(a, mult(mult(mult(a, b), a), c))))))),
% 6.03/6.22 inference(modus_ponens,[status(thm)],[13291, 13290])).
% 6.03/6.22 tff(13293,plain,
% 6.03/6.22 ($false),
% 6.03/6.22 inference(unit_resolution,[status(thm)],[13292, 30, 13289, 13288])).
% 6.03/6.22 tff(13294,plain,((~((~(mult(mult(a, c), mult(mult(a, b), a)) = mult(a, mult(mult(mult(a, b), a), c)))) | (~(mult(mult(a, mult(mult(a, b), a)), c) = mult(a, mult(c, mult(mult(a, b), a))))))) | (mult(mult(a, c), mult(mult(a, b), a)) = mult(a, mult(c, mult(mult(a, b), a))))), inference(lemma,lemma(discharge,[]))).
% 6.03/6.22 tff(13295,plain,
% 6.03/6.22 (~((~(mult(mult(a, c), mult(mult(a, b), a)) = mult(a, mult(mult(mult(a, b), a), c)))) | (~(mult(mult(a, mult(mult(a, b), a)), c) = mult(a, mult(c, mult(mult(a, b), a))))))),
% 6.03/6.22 inference(unit_resolution,[status(thm)],[13294, 10833])).
% 6.03/6.22 tff(13296,plain,
% 6.03/6.22 (((~(mult(mult(a, c), mult(mult(a, b), a)) = mult(a, mult(mult(mult(a, b), a), c)))) | (~(mult(mult(a, mult(mult(a, b), a)), c) = mult(a, mult(c, mult(mult(a, b), a)))))) | (mult(mult(a, mult(mult(a, b), a)), c) = mult(a, mult(c, mult(mult(a, b), a))))),
% 6.03/6.22 inference(tautology,[status(thm)],[])).
% 6.03/6.22 tff(13297,plain,
% 6.03/6.22 (mult(mult(a, mult(mult(a, b), a)), c) = mult(a, mult(c, mult(mult(a, b), a)))),
% 6.03/6.22 inference(unit_resolution,[status(thm)],[13296, 13295])).
% 6.03/6.22 tff(13298,plain,
% 6.03/6.22 ((mult(a, mult(mult(c, a), mult(a, b))) = mult(mult(a, mult(a, b)), mult(c, a))) <=> (mult(mult(a, mult(a, b)), mult(c, a)) = mult(a, mult(mult(c, a), mult(a, b))))),
% 6.03/6.22 inference(commutativity,[status(thm)],[])).
% 6.03/6.22 tff(13299,assumption,(mult(mult(a, mult(mult(a, b), a)), c) = mult(a, mult(c, mult(mult(a, b), a)))), introduced(assumption)).
% 6.03/6.22 tff(13300,plain,
% 6.03/6.22 (mult(mult(mult(mult(a, a), b), a), c) = mult(a, mult(mult(c, a), mult(a, b)))),
% 6.03/6.22 inference(transitivity,[status(thm)],[12438, 13299, 10777, 10863])).
% 6.03/6.22 tff(13301,plain,
% 6.03/6.22 ((mult(mult(mult(mult(a, a), b), a), c) = mult(mult(mult(a, a), b), mult(c, a))) <=> (mult(a, mult(mult(c, a), mult(a, b))) = mult(mult(a, mult(a, b)), mult(c, a)))),
% 6.03/6.22 inference(monotonicity,[status(thm)],[13300, 10893])).
% 6.03/6.22 tff(13302,plain,
% 6.03/6.22 ((mult(mult(mult(mult(a, a), b), a), c) = mult(mult(mult(a, a), b), mult(c, a))) <=> (mult(mult(a, mult(a, b)), mult(c, a)) = mult(a, mult(mult(c, a), mult(a, b))))),
% 6.03/6.22 inference(transitivity,[status(thm)],[13301, 13298])).
% 6.03/6.22 tff(13303,plain,
% 6.03/6.22 ((~(mult(mult(mult(mult(a, a), b), a), c) = mult(mult(mult(a, a), b), mult(c, a)))) <=> (~(mult(mult(a, mult(a, b)), mult(c, a)) = mult(a, mult(mult(c, a), mult(a, b)))))),
% 6.03/6.22 inference(monotonicity,[status(thm)],[13302])).
% 6.03/6.22 tff(13304,plain,
% 6.03/6.22 (~(mult(mult(a, mult(a, b)), mult(c, a)) = mult(a, mult(mult(c, a), mult(a, b))))),
% 6.03/6.22 inference(modus_ponens,[status(thm)],[10905, 13303])).
% 6.03/6.22 tff(13305,assumption,(~(mult(mult(a, mult(c, a)), mult(a, b)) = mult(a, mult(mult(c, a), mult(a, b))))), introduced(assumption)).
% 6.03/6.22 tff(13306,plain,
% 6.03/6.22 (mult(a, mult(mult(mult(c, a), b), a)) = mult(a, mult(mult(c, a), mult(a, b)))),
% 6.03/6.22 inference(monotonicity,[status(thm)],[10234])).
% 6.03/6.22 tff(13307,plain,
% 6.03/6.22 (mult(a, mult(mult(c, a), mult(a, b))) = mult(a, mult(mult(mult(c, a), b), a))),
% 6.03/6.22 inference(symmetry,[status(thm)],[13306])).
% 6.03/6.22 tff(13308,plain,
% 6.03/6.22 (((~(mult(mult(a, mult(a, b)), mult(c, a)) = mult(a, mult(mult(a, b), mult(c, a))))) | (~(mult(mult(a, mult(c, a)), mult(a, b)) = mult(a, mult(mult(c, a), mult(a, b)))))) | (mult(mult(a, mult(c, a)), mult(a, b)) = mult(a, mult(mult(c, a), mult(a, b))))),
% 6.03/6.22 inference(tautology,[status(thm)],[])).
% 6.03/6.22 tff(13309,plain,
% 6.03/6.22 ((~(mult(mult(a, mult(a, b)), mult(c, a)) = mult(a, mult(mult(a, b), mult(c, a))))) | (~(mult(mult(a, mult(c, a)), mult(a, b)) = mult(a, mult(mult(c, a), mult(a, b)))))),
% 6.03/6.22 inference(unit_resolution,[status(thm)],[13308, 13305])).
% 6.03/6.22 tff(13310,assumption,(~(mult(mult(a, mult(a, b)), mult(c, a)) = mult(a, mult(mult(c, a), mult(a, b))))), introduced(assumption)).
% 6.03/6.22 tff(13311,plain,
% 6.03/6.22 ((~(mult(mult(a, mult(a, b)), mult(c, a)) = mult(a, mult(mult(c, a), mult(a, b))))) | (~(mult(mult(a, mult(c, a)), mult(a, b)) = mult(a, mult(mult(a, b), mult(c, a)))))),
% 6.03/6.22 inference(unit_resolution,[status(thm)],[10883, 13310])).
% 6.03/6.22 tff(13312,assumption,((~(mult(mult(a, mult(a, b)), mult(c, a)) = mult(a, mult(mult(a, b), mult(c, a))))) | (~(mult(mult(a, mult(c, a)), mult(a, b)) = mult(a, mult(mult(c, a), mult(a, b)))))), introduced(assumption)).
% 6.03/6.22 tff(13313,plain,
% 6.03/6.23 ($false),
% 6.03/6.23 inference(unit_resolution,[status(thm)],[10874, 30, 13312, 13311])).
% 6.03/6.23 tff(13314,plain,((~((~(mult(mult(a, mult(a, b)), mult(c, a)) = mult(a, mult(mult(a, b), mult(c, a))))) | (~(mult(mult(a, mult(c, a)), mult(a, b)) = mult(a, mult(mult(c, a), mult(a, b))))))) | (mult(mult(a, mult(a, b)), mult(c, a)) = mult(a, mult(mult(c, a), mult(a, b))))), inference(lemma,lemma(discharge,[]))).
% 6.03/6.23 tff(13315,plain,
% 6.03/6.23 (mult(mult(a, mult(a, b)), mult(c, a)) = mult(a, mult(mult(c, a), mult(a, b)))),
% 6.03/6.23 inference(unit_resolution,[status(thm)],[13314, 13309])).
% 6.03/6.23 tff(13316,assumption,((~(mult(mult(a, mult(a, b)), mult(c, a)) = mult(a, mult(mult(c, a), mult(a, b))))) | (~(mult(mult(a, mult(c, a)), mult(a, b)) = mult(a, mult(mult(a, b), mult(c, a)))))), introduced(assumption)).
% 6.03/6.23 tff(13317,plain,
% 6.03/6.23 ($false),
% 6.03/6.23 inference(unit_resolution,[status(thm)],[10874, 30, 13312, 13316])).
% 6.03/6.23 tff(13318,plain,((~((~(mult(mult(a, mult(a, b)), mult(c, a)) = mult(a, mult(mult(c, a), mult(a, b))))) | (~(mult(mult(a, mult(c, a)), mult(a, b)) = mult(a, mult(mult(a, b), mult(c, a))))))) | (~((~(mult(mult(a, mult(a, b)), mult(c, a)) = mult(a, mult(mult(a, b), mult(c, a))))) | (~(mult(mult(a, mult(c, a)), mult(a, b)) = mult(a, mult(mult(c, a), mult(a, b)))))))), inference(lemma,lemma(discharge,[]))).
% 6.03/6.23 tff(13319,plain,
% 6.03/6.23 (~((~(mult(mult(a, mult(a, b)), mult(c, a)) = mult(a, mult(mult(c, a), mult(a, b))))) | (~(mult(mult(a, mult(c, a)), mult(a, b)) = mult(a, mult(mult(a, b), mult(c, a))))))),
% 6.03/6.23 inference(unit_resolution,[status(thm)],[13318, 13309])).
% 6.03/6.23 tff(13320,plain,
% 6.03/6.23 (mult(mult(a, mult(c, a)), mult(a, b)) = mult(a, mult(mult(a, b), mult(c, a)))),
% 6.03/6.23 inference(unit_resolution,[status(thm)],[10877, 13319])).
% 6.03/6.23 tff(13321,plain,
% 6.03/6.23 (mult(mult(mult(a, c), a), mult(a, b)) = mult(mult(a, mult(c, a)), mult(a, b))),
% 6.03/6.23 inference(monotonicity,[status(thm)],[11731])).
% 6.03/6.23 tff(13322,plain,
% 6.03/6.23 (mult(mult(a, c), mult(mult(a, b), a)) = mult(a, mult(c, mult(mult(a, b), a)))),
% 6.03/6.23 inference(transitivity,[status(thm)],[11171, 13321, 13320, 11859, 13315, 13307, 11036])).
% 6.03/6.23 tff(13323,plain,
% 6.03/6.23 (mult(a, mult(mult(c, a), mult(a, b))) = mult(a, mult(c, mult(mult(a, b), a)))),
% 6.03/6.23 inference(transitivity,[status(thm)],[13307, 11036])).
% 6.03/6.23 tff(13324,plain,
% 6.03/6.23 (mult(mult(a, mult(c, a)), mult(a, b)) = mult(mult(mult(a, c), a), mult(a, b))),
% 6.03/6.23 inference(symmetry,[status(thm)],[13321])).
% 6.03/6.23 tff(13325,plain,
% 6.03/6.23 (mult(mult(a, mult(c, a)), mult(a, b)) = mult(mult(a, c), mult(mult(a, b), a))),
% 6.03/6.23 inference(transitivity,[status(thm)],[13324, 10864])).
% 6.03/6.23 tff(13326,plain,
% 6.03/6.23 ((mult(mult(a, mult(c, a)), mult(a, b)) = mult(a, mult(mult(c, a), mult(a, b)))) <=> (mult(mult(a, c), mult(mult(a, b), a)) = mult(a, mult(c, mult(mult(a, b), a))))),
% 6.03/6.23 inference(monotonicity,[status(thm)],[13325, 13323])).
% 6.03/6.23 tff(13327,plain,
% 6.03/6.23 ((~(mult(mult(a, mult(c, a)), mult(a, b)) = mult(a, mult(mult(c, a), mult(a, b))))) <=> (~(mult(mult(a, c), mult(mult(a, b), a)) = mult(a, mult(c, mult(mult(a, b), a)))))),
% 6.03/6.23 inference(monotonicity,[status(thm)],[13326])).
% 6.03/6.23 tff(13328,plain,
% 6.03/6.23 (~(mult(mult(a, c), mult(mult(a, b), a)) = mult(a, mult(c, mult(mult(a, b), a))))),
% 6.03/6.23 inference(modus_ponens,[status(thm)],[13305, 13327])).
% 6.03/6.23 tff(13329,plain,
% 6.03/6.23 ($false),
% 6.03/6.23 inference(unit_resolution,[status(thm)],[13328, 13322])).
% 6.03/6.23 tff(13330,plain,((mult(mult(a, mult(c, a)), mult(a, b)) = mult(a, mult(mult(c, a), mult(a, b)))) | (~(mult(mult(mult(a, c), a), mult(a, b)) = mult(mult(a, c), mult(mult(a, b), a)))) | (~(mult(mult(a, mult(a, b)), mult(c, a)) = mult(a, mult(mult(a, b), mult(c, a))))) | (~(mult(mult(c, a), mult(a, b)) = mult(c, mult(mult(a, b), a))))), inference(lemma,lemma(discharge,[]))).
% 6.03/6.23 tff(13331,plain,
% 6.03/6.23 (~(mult(mult(a, mult(a, b)), mult(c, a)) = mult(a, mult(mult(a, b), mult(c, a))))),
% 6.03/6.23 inference(unit_resolution,[status(thm)],[13330, 13305, 10864, 9877])).
% 6.03/6.23 tff(13332,plain,
% 6.03/6.23 ($false),
% 6.03/6.23 inference(unit_resolution,[status(thm)],[13314, 10868, 13310])).
% 6.03/6.23 tff(13333,plain,((mult(mult(a, mult(a, b)), mult(c, a)) = mult(a, mult(mult(c, a), mult(a, b)))) | (mult(mult(a, mult(a, b)), mult(c, a)) = mult(a, mult(mult(a, b), mult(c, a))))), inference(lemma,lemma(discharge,[]))).
% 6.03/6.23 tff(13334,plain,
% 6.03/6.23 ($false),
% 6.03/6.23 inference(unit_resolution,[status(thm)],[13333, 13331, 13304])).
% 6.03/6.23 tff(13335,plain,((mult(mult(a, mult(c, a)), mult(a, b)) = mult(a, mult(mult(c, a), mult(a, b)))) | (~(mult(mult(mult(a, c), a), mult(a, b)) = mult(mult(a, c), mult(mult(a, b), a)))) | (mult(mult(mult(mult(a, a), b), a), c) = mult(mult(mult(a, a), b), mult(c, a))) | (~(mult(mult(a, mult(mult(a, b), a)), c) = mult(a, mult(c, mult(mult(a, b), a))))) | (~(mult(mult(mult(c, a), b), a) = mult(mult(c, a), mult(a, b))))), inference(lemma,lemma(discharge,[]))).
% 6.03/6.23 tff(13336,plain,
% 6.03/6.23 (mult(mult(a, mult(c, a)), mult(a, b)) = mult(a, mult(mult(c, a), mult(a, b)))),
% 6.03/6.23 inference(unit_resolution,[status(thm)],[13335, 9876, 10905, 13297, 10864])).
% 6.03/6.23 tff(13337,plain,
% 6.03/6.23 ($false),
% 6.03/6.23 inference(unit_resolution,[status(thm)],[13336, 13286])).
% 6.03/6.23 tff(13338,plain,((~(mult(mult(mult(c, a), b), a) = mult(mult(c, a), mult(a, b)))) | (mult(mult(a, c), mult(mult(a, b), a)) = mult(a, mult(c, mult(mult(a, b), a)))) | (~(mult(mult(mult(a, c), a), mult(a, b)) = mult(mult(a, c), mult(mult(a, b), a)))) | (~(mult(mult(a, mult(c, a)), b) = mult(a, mult(b, mult(c, a))))) | (~(mult(mult(mult(a, c), a), b) = mult(mult(a, c), mult(b, a)))) | (mult(mult(mult(mult(a, a), b), a), c) = mult(mult(mult(a, a), b), mult(c, a)))), inference(lemma,lemma(discharge,[]))).
% 6.03/6.23 tff(13339,plain,
% 6.03/6.23 (mult(mult(a, c), mult(mult(a, b), a)) = mult(a, mult(c, mult(mult(a, b), a)))),
% 6.03/6.23 inference(unit_resolution,[status(thm)],[13338, 10905, 10864, 9876, 1362, 1736])).
% 6.03/6.23 tff(13340,plain,
% 6.03/6.23 (mult(a, mult(c, mult(mult(a, b), a))) = mult(mult(a, c), mult(mult(a, b), a))),
% 6.03/6.23 inference(symmetry,[status(thm)],[13339])).
% 6.03/6.23 tff(13341,plain,
% 6.03/6.23 (mult(mult(a, mult(mult(a, b), a)), c) = mult(a, mult(mult(mult(a, b), a), c))),
% 6.03/6.23 inference(unit_resolution,[status(thm)],[10858, 13339])).
% 6.03/6.23 tff(13342,plain,
% 6.03/6.23 ((mult(mult(a, mult(mult(a, b), a)), c) = mult(a, mult(c, mult(mult(a, b), a)))) <=> (mult(a, mult(mult(mult(a, b), a), c)) = mult(mult(a, c), mult(mult(a, b), a)))),
% 6.03/6.23 inference(monotonicity,[status(thm)],[13341, 13340])).
% 6.03/6.23 tff(13343,plain,
% 6.03/6.23 ((mult(mult(a, mult(mult(a, b), a)), c) = mult(a, mult(c, mult(mult(a, b), a)))) <=> (mult(mult(a, c), mult(mult(a, b), a)) = mult(a, mult(mult(mult(a, b), a), c)))),
% 6.03/6.23 inference(transitivity,[status(thm)],[13342, 13271])).
% 6.03/6.23 tff(13344,plain,
% 6.03/6.23 ((mult(mult(a, c), mult(mult(a, b), a)) = mult(a, mult(mult(mult(a, b), a), c))) <=> (mult(mult(a, mult(mult(a, b), a)), c) = mult(a, mult(c, mult(mult(a, b), a))))),
% 6.03/6.23 inference(symmetry,[status(thm)],[13343])).
% 6.03/6.23 tff(13345,plain,
% 6.03/6.23 (mult(a, mult(mult(mult(a, b), a), c)) = mult(a, mult(mult(a, b), mult(c, a)))),
% 6.03/6.23 inference(monotonicity,[status(thm)],[9222])).
% 6.03/6.23 tff(13346,plain,
% 6.03/6.23 (mult(a, mult(mult(a, b), mult(c, a))) = mult(a, mult(mult(mult(a, b), a), c))),
% 6.03/6.23 inference(symmetry,[status(thm)],[13345])).
% 6.03/6.23 tff(13347,plain,
% 6.03/6.23 ((mult(mult(a, mult(c, a)), mult(a, b)) = mult(a, mult(mult(a, b), mult(c, a)))) <=> (mult(mult(a, c), mult(mult(a, b), a)) = mult(a, mult(mult(mult(a, b), a), c)))),
% 6.03/6.23 inference(monotonicity,[status(thm)],[13282, 13346])).
% 6.03/6.23 tff(13348,plain,
% 6.03/6.23 (~(mult(mult(a, mult(a, b)), mult(c, a)) = mult(a, mult(mult(a, b), mult(c, a))))),
% 6.03/6.23 inference(unit_resolution,[status(thm)],[10908, 13341, 9222, 10905])).
% 6.03/6.23 tff(13349,plain,
% 6.03/6.23 ((~(mult(mult(a, mult(a, b)), mult(c, a)) = mult(a, mult(mult(a, b), mult(c, a))))) | (~(mult(mult(a, mult(c, a)), mult(a, b)) = mult(a, mult(mult(c, a), mult(a, b)))))),
% 6.03/6.23 inference(unit_resolution,[status(thm)],[10867, 13348])).
% 6.03/6.23 tff(13350,plain,
% 6.03/6.23 (~((~(mult(mult(a, mult(a, b)), mult(c, a)) = mult(a, mult(mult(c, a), mult(a, b))))) | (~(mult(mult(a, mult(c, a)), mult(a, b)) = mult(a, mult(mult(a, b), mult(c, a))))))),
% 6.03/6.23 inference(unit_resolution,[status(thm)],[13318, 13349])).
% 6.03/6.23 tff(13351,plain,
% 6.03/6.23 (mult(mult(a, mult(c, a)), mult(a, b)) = mult(a, mult(mult(a, b), mult(c, a)))),
% 6.03/6.23 inference(unit_resolution,[status(thm)],[10877, 13350])).
% 6.03/6.23 tff(13352,plain,
% 6.03/6.23 (mult(mult(a, c), mult(mult(a, b), a)) = mult(a, mult(mult(mult(a, b), a), c))),
% 6.03/6.23 inference(modus_ponens,[status(thm)],[13351, 13347])).
% 6.03/6.23 tff(13353,plain,
% 6.03/6.23 (mult(mult(a, mult(mult(a, b), a)), c) = mult(a, mult(c, mult(mult(a, b), a)))),
% 6.03/6.23 inference(modus_ponens,[status(thm)],[13352, 13344])).
% 6.03/6.23 tff(13354,plain,
% 6.03/6.23 (mult(mult(a, mult(a, b)), mult(c, a)) = mult(a, mult(mult(c, a), mult(a, b)))),
% 6.03/6.23 inference(unit_resolution,[status(thm)],[13333, 13348])).
% 6.03/6.23 tff(13355,plain,
% 6.03/6.23 (mult(a, mult(mult(c, a), mult(a, b))) = mult(mult(a, mult(a, b)), mult(c, a))),
% 6.03/6.23 inference(symmetry,[status(thm)],[13354])).
% 6.03/6.23 tff(13356,plain,
% 6.03/6.23 ((mult(mult(a, mult(c, a)), mult(a, b)) = mult(a, mult(mult(c, a), mult(a, b)))) <=> (mult(a, mult(mult(a, b), mult(c, a))) = mult(mult(a, mult(a, b)), mult(c, a)))),
% 6.03/6.23 inference(monotonicity,[status(thm)],[13351, 13355])).
% 6.03/6.23 tff(13357,plain,
% 6.03/6.23 ((mult(mult(a, mult(c, a)), mult(a, b)) = mult(a, mult(mult(c, a), mult(a, b)))) <=> (mult(mult(a, mult(a, b)), mult(c, a)) = mult(a, mult(mult(a, b), mult(c, a))))),
% 6.03/6.23 inference(transitivity,[status(thm)],[13356, 10891])).
% 6.03/6.23 tff(13358,plain,
% 6.03/6.23 ((mult(mult(a, mult(a, b)), mult(c, a)) = mult(a, mult(mult(a, b), mult(c, a)))) <=> (mult(mult(a, mult(c, a)), mult(a, b)) = mult(a, mult(mult(c, a), mult(a, b))))),
% 6.03/6.23 inference(symmetry,[status(thm)],[13357])).
% 6.03/6.23 tff(13359,plain,
% 6.03/6.23 ((~(mult(mult(a, mult(a, b)), mult(c, a)) = mult(a, mult(mult(a, b), mult(c, a))))) <=> (~(mult(mult(a, mult(c, a)), mult(a, b)) = mult(a, mult(mult(c, a), mult(a, b)))))),
% 6.03/6.23 inference(monotonicity,[status(thm)],[13358])).
% 6.03/6.23 tff(13360,plain,
% 6.03/6.23 (~(mult(mult(a, mult(c, a)), mult(a, b)) = mult(a, mult(mult(c, a), mult(a, b))))),
% 6.03/6.23 inference(modus_ponens,[status(thm)],[13348, 13359])).
% 6.03/6.23 tff(13361,plain,
% 6.03/6.23 ($false),
% 6.03/6.23 inference(unit_resolution,[status(thm)],[13335, 13360, 13353, 9876, 10905, 10864])).
% 6.03/6.23 tff(13362,plain,((mult(mult(mult(mult(a, a), b), a), c) = mult(mult(mult(a, a), b), mult(c, a))) | (~(mult(mult(mult(c, a), b), a) = mult(mult(c, a), mult(a, b)))) | (~(mult(mult(mult(a, c), a), mult(a, b)) = mult(mult(a, c), mult(mult(a, b), a)))) | (~(mult(mult(a, mult(c, a)), b) = mult(a, mult(b, mult(c, a))))) | (~(mult(mult(mult(a, c), a), b) = mult(mult(a, c), mult(b, a))))), inference(lemma,lemma(discharge,[]))).
% 6.03/6.23 tff(13363,plain,
% 6.03/6.23 (mult(mult(mult(mult(a, a), b), a), c) = mult(mult(mult(a, a), b), mult(c, a))),
% 6.03/6.23 inference(unit_resolution,[status(thm)],[13362, 13270, 13259, 9066, 9012])).
% 6.03/6.23 tff(13364,plain,
% 6.03/6.23 (~(mult(mult(mult(c, mult(mult(a, b), a)), b), a) = mult(mult(c, mult(mult(a, b), a)), mult(b, a)))),
% 6.03/6.23 inference(unit_resolution,[status(thm)],[4333, 4325, 1])).
% 6.03/6.23 tff(13365,plain,
% 6.03/6.23 (~(mult(mult(mult(mult(c, a), b), a), mult(b, a)) = mult(mult(mult(c, a), b), mult(a, mult(b, a))))),
% 6.03/6.23 inference(unit_resolution,[status(thm)],[4354, 13364])).
% 6.03/6.23 tff(13366,plain,
% 6.03/6.23 ((~(mult(mult(mult(mult(c, a), b), mult(b, a)), a) = mult(mult(mult(c, a), b), mult(mult(b, a), a)))) | (~(mult(mult(mult(mult(c, a), b), a), mult(b, a)) = mult(mult(mult(c, a), b), mult(a, mult(b, a)))))),
% 6.03/6.23 inference(unit_resolution,[status(thm)],[4356, 13365])).
% 6.03/6.23 tff(13367,plain,
% 6.03/6.23 (~((~(mult(mult(mult(mult(c, a), b), mult(b, a)), a) = mult(mult(mult(c, a), b), mult(a, mult(b, a))))) | (~(mult(mult(mult(mult(c, a), b), a), mult(b, a)) = mult(mult(mult(c, a), b), mult(mult(b, a), a)))))),
% 6.03/6.23 inference(unit_resolution,[status(thm)],[4360, 30, 13366])).
% 6.03/6.23 tff(13368,plain,
% 6.03/6.23 (mult(mult(mult(mult(c, a), b), a), mult(b, a)) = mult(mult(mult(c, a), b), mult(mult(b, a), a))),
% 6.03/6.23 inference(unit_resolution,[status(thm)],[4544, 13367])).
% 6.03/6.23 tff(13369,assumption,(~(mult(mult(a, mult(b, mult(c, a))), a) = mult(a, mult(mult(b, mult(c, a)), a)))), introduced(assumption)).
% 6.03/6.23 tff(13370,plain,
% 6.03/6.23 ((~![B: $i, A: $i] : (rd(mult(A, B), B) = A)) | (rd(mult(mult(b, mult(c, a)), b), b) = mult(b, mult(c, a)))),
% 6.03/6.23 inference(quant_inst,[status(thm)],[])).
% 6.03/6.23 tff(13371,plain,
% 6.03/6.23 (rd(mult(mult(b, mult(c, a)), b), b) = mult(b, mult(c, a))),
% 6.03/6.23 inference(unit_resolution,[status(thm)],[13370, 72])).
% 6.03/6.23 tff(13372,plain,
% 6.03/6.23 ((~![B: $i, A: $i] : (ld(A, mult(A, B)) = B)) | (ld(mult(mult(a, c), a), mult(mult(mult(a, c), a), mult(mult(b, mult(c, a)), b))) = mult(mult(b, mult(c, a)), b))),
% 6.03/6.23 inference(quant_inst,[status(thm)],[])).
% 6.03/6.23 tff(13373,plain,
% 6.03/6.23 (ld(mult(mult(a, c), a), mult(mult(mult(a, c), a), mult(mult(b, mult(c, a)), b))) = mult(mult(b, mult(c, a)), b)),
% 6.03/6.23 inference(unit_resolution,[status(thm)],[13372, 9])).
% 6.03/6.23 tff(13374,plain,
% 6.03/6.23 (mult(mult(mult(a, c), a), mult(mult(b, mult(a, c)), b)) = mult(mult(mult(a, c), a), mult(mult(mult(b, c), a), b))),
% 6.03/6.23 inference(symmetry,[status(thm)],[6791])).
% 6.03/6.23 tff(13375,plain,
% 6.03/6.23 (mult(mult(mult(mult(a, c), mult(b, a)), mult(a, c)), b) = mult(mult(mult(mult(mult(a, c), a), b), mult(a, c)), b)),
% 6.03/6.23 inference(symmetry,[status(thm)],[6787])).
% 6.03/6.23 tff(13376,plain,
% 6.03/6.23 ((~![B: $i, A: $i] : (rd(mult(A, B), B) = A)) | (rd(mult(mult(mult(mult(mult(a, c), mult(b, a)), mult(a, c)), b), a), a) = mult(mult(mult(mult(a, c), mult(b, a)), mult(a, c)), b))),
% 6.03/6.23 inference(quant_inst,[status(thm)],[])).
% 6.03/6.23 tff(13377,plain,
% 6.03/6.23 (rd(mult(mult(mult(mult(mult(a, c), mult(b, a)), mult(a, c)), b), a), a) = mult(mult(mult(mult(a, c), mult(b, a)), mult(a, c)), b)),
% 6.03/6.23 inference(unit_resolution,[status(thm)],[13376, 72])).
% 6.03/6.23 tff(13378,plain,
% 6.03/6.23 (mult(a, mult(mult(b, a), c)) = mult(mult(a, c), mult(b, a))),
% 6.03/6.23 inference(transitivity,[status(thm)],[4878, 1737, 8214, 1362])).
% 6.03/6.23 tff(13379,plain,
% 6.03/6.23 ((mult(mult(a, mult(b, a)), c) = mult(a, mult(mult(b, a), c))) <=> (mult(a, mult(c, mult(b, a))) = mult(mult(a, c), mult(b, a)))),
% 6.03/6.23 inference(monotonicity,[status(thm)],[218, 13378])).
% 6.03/6.23 tff(13380,plain,
% 6.03/6.23 ((mult(mult(a, mult(b, a)), c) = mult(a, mult(mult(b, a), c))) <=> (mult(mult(a, c), mult(b, a)) = mult(a, mult(c, mult(b, a))))),
% 6.03/6.23 inference(transitivity,[status(thm)],[13379, 213])).
% 6.03/6.23 tff(13381,plain,
% 6.03/6.23 ((mult(mult(a, c), mult(b, a)) = mult(a, mult(c, mult(b, a)))) <=> (mult(mult(a, mult(b, a)), c) = mult(a, mult(mult(b, a), c)))),
% 6.03/6.23 inference(symmetry,[status(thm)],[13380])).
% 6.03/6.23 tff(13382,plain,
% 6.03/6.23 ((~(mult(mult(a, c), mult(b, a)) = mult(a, mult(c, mult(b, a))))) <=> (~(mult(mult(a, mult(b, a)), c) = mult(a, mult(mult(b, a), c))))),
% 6.03/6.23 inference(monotonicity,[status(thm)],[13381])).
% 6.03/6.23 tff(13383,plain,
% 6.03/6.23 (~(mult(mult(a, mult(b, a)), c) = mult(a, mult(mult(b, a), c)))),
% 6.03/6.23 inference(modus_ponens,[status(thm)],[119, 13382])).
% 6.03/6.23 tff(13384,plain,
% 6.03/6.23 (((~(mult(mult(a, mult(b, mult(c, a))), a) = mult(a, mult(mult(b, mult(c, a)), a)))) | (~(mult(mult(a, a), mult(b, mult(c, a))) = mult(a, mult(a, mult(b, mult(c, a))))))) | (mult(mult(a, mult(b, mult(c, a))), a) = mult(a, mult(mult(b, mult(c, a)), a)))),
% 6.03/6.23 inference(tautology,[status(thm)],[])).
% 6.03/6.23 tff(13385,plain,
% 6.03/6.23 ((~(mult(mult(a, mult(b, mult(c, a))), a) = mult(a, mult(mult(b, mult(c, a)), a)))) | (~(mult(mult(a, a), mult(b, mult(c, a))) = mult(a, mult(a, mult(b, mult(c, a))))))),
% 6.03/6.23 inference(unit_resolution,[status(thm)],[13384, 13369])).
% 6.03/6.23 tff(13386,plain,
% 6.03/6.23 (((~![X0: $i, X1: $i, X2: $i] : ((~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X2, X1)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X1, X2)))))) | (~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X1, X2)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X2, X1)))))))) | ((~((~(mult(mult(a, a), mult(b, mult(c, a))) = mult(a, mult(mult(b, mult(c, a)), a)))) | (~(mult(mult(a, mult(b, mult(c, a))), a) = mult(a, mult(a, mult(b, mult(c, a)))))))) | (~((~(mult(mult(a, mult(b, mult(c, a))), a) = mult(a, mult(mult(b, mult(c, a)), a)))) | (~(mult(mult(a, a), mult(b, mult(c, a))) = mult(a, mult(a, mult(b, mult(c, a)))))))))) <=> ((~![X0: $i, X1: $i, X2: $i] : ((~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X2, X1)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X1, X2)))))) | (~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X1, X2)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X2, X1)))))))) | (~((~(mult(mult(a, a), mult(b, mult(c, a))) = mult(a, mult(mult(b, mult(c, a)), a)))) | (~(mult(mult(a, mult(b, mult(c, a))), a) = mult(a, mult(a, mult(b, mult(c, a)))))))) | (~((~(mult(mult(a, mult(b, mult(c, a))), a) = mult(a, mult(mult(b, mult(c, a)), a)))) | (~(mult(mult(a, a), mult(b, mult(c, a))) = mult(a, mult(a, mult(b, mult(c, a)))))))))),
% 6.03/6.24 inference(rewrite,[status(thm)],[])).
% 6.03/6.24 tff(13387,plain,
% 6.03/6.24 (((~((~(mult(mult(a, mult(b, mult(c, a))), a) = mult(a, mult(a, mult(b, mult(c, a)))))) | (~(mult(mult(a, a), mult(b, mult(c, a))) = mult(a, mult(mult(b, mult(c, a)), a)))))) | (~((~(mult(mult(a, mult(b, mult(c, a))), a) = mult(a, mult(mult(b, mult(c, a)), a)))) | (~(mult(mult(a, a), mult(b, mult(c, a))) = mult(a, mult(a, mult(b, mult(c, a))))))))) <=> ((~((~(mult(mult(a, a), mult(b, mult(c, a))) = mult(a, mult(mult(b, mult(c, a)), a)))) | (~(mult(mult(a, mult(b, mult(c, a))), a) = mult(a, mult(a, mult(b, mult(c, a)))))))) | (~((~(mult(mult(a, mult(b, mult(c, a))), a) = mult(a, mult(mult(b, mult(c, a)), a)))) | (~(mult(mult(a, a), mult(b, mult(c, a))) = mult(a, mult(a, mult(b, mult(c, a)))))))))),
% 6.03/6.24 inference(rewrite,[status(thm)],[])).
% 6.03/6.24 tff(13388,plain,
% 6.03/6.24 (((~![X0: $i, X1: $i, X2: $i] : ((~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X2, X1)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X1, X2)))))) | (~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X1, X2)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X2, X1)))))))) | ((~((~(mult(mult(a, mult(b, mult(c, a))), a) = mult(a, mult(a, mult(b, mult(c, a)))))) | (~(mult(mult(a, a), mult(b, mult(c, a))) = mult(a, mult(mult(b, mult(c, a)), a)))))) | (~((~(mult(mult(a, mult(b, mult(c, a))), a) = mult(a, mult(mult(b, mult(c, a)), a)))) | (~(mult(mult(a, a), mult(b, mult(c, a))) = mult(a, mult(a, mult(b, mult(c, a)))))))))) <=> ((~![X0: $i, X1: $i, X2: $i] : ((~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X2, X1)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X1, X2)))))) | (~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X1, X2)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X2, X1)))))))) | ((~((~(mult(mult(a, a), mult(b, mult(c, a))) = mult(a, mult(mult(b, mult(c, a)), a)))) | (~(mult(mult(a, mult(b, mult(c, a))), a) = mult(a, mult(a, mult(b, mult(c, a)))))))) | (~((~(mult(mult(a, mult(b, mult(c, a))), a) = mult(a, mult(mult(b, mult(c, a)), a)))) | (~(mult(mult(a, a), mult(b, mult(c, a))) = mult(a, mult(a, mult(b, mult(c, a))))))))))),
% 6.03/6.24 inference(monotonicity,[status(thm)],[13387])).
% 6.03/6.24 tff(13389,plain,
% 6.03/6.24 (((~![X0: $i, X1: $i, X2: $i] : ((~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X2, X1)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X1, X2)))))) | (~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X1, X2)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X2, X1)))))))) | ((~((~(mult(mult(a, mult(b, mult(c, a))), a) = mult(a, mult(a, mult(b, mult(c, a)))))) | (~(mult(mult(a, a), mult(b, mult(c, a))) = mult(a, mult(mult(b, mult(c, a)), a)))))) | (~((~(mult(mult(a, mult(b, mult(c, a))), a) = mult(a, mult(mult(b, mult(c, a)), a)))) | (~(mult(mult(a, a), mult(b, mult(c, a))) = mult(a, mult(a, mult(b, mult(c, a)))))))))) <=> ((~![X0: $i, X1: $i, X2: $i] : ((~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X2, X1)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X1, X2)))))) | (~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X1, X2)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X2, X1)))))))) | (~((~(mult(mult(a, a), mult(b, mult(c, a))) = mult(a, mult(mult(b, mult(c, a)), a)))) | (~(mult(mult(a, mult(b, mult(c, a))), a) = mult(a, mult(a, mult(b, mult(c, a)))))))) | (~((~(mult(mult(a, mult(b, mult(c, a))), a) = mult(a, mult(mult(b, mult(c, a)), a)))) | (~(mult(mult(a, a), mult(b, mult(c, a))) = mult(a, mult(a, mult(b, mult(c, a)))))))))),
% 6.03/6.24 inference(transitivity,[status(thm)],[13388, 13386])).
% 6.03/6.24 tff(13390,plain,
% 6.03/6.24 ((~![X0: $i, X1: $i, X2: $i] : ((~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X2, X1)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X1, X2)))))) | (~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X1, X2)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X2, X1)))))))) | ((~((~(mult(mult(a, mult(b, mult(c, a))), a) = mult(a, mult(a, mult(b, mult(c, a)))))) | (~(mult(mult(a, a), mult(b, mult(c, a))) = mult(a, mult(mult(b, mult(c, a)), a)))))) | (~((~(mult(mult(a, mult(b, mult(c, a))), a) = mult(a, mult(mult(b, mult(c, a)), a)))) | (~(mult(mult(a, a), mult(b, mult(c, a))) = mult(a, mult(a, mult(b, mult(c, a)))))))))),
% 6.03/6.24 inference(quant_inst,[status(thm)],[])).
% 6.03/6.24 tff(13391,plain,
% 6.03/6.24 ((~![X0: $i, X1: $i, X2: $i] : ((~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X2, X1)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X1, X2)))))) | (~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X1, X2)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X2, X1)))))))) | (~((~(mult(mult(a, a), mult(b, mult(c, a))) = mult(a, mult(mult(b, mult(c, a)), a)))) | (~(mult(mult(a, mult(b, mult(c, a))), a) = mult(a, mult(a, mult(b, mult(c, a)))))))) | (~((~(mult(mult(a, mult(b, mult(c, a))), a) = mult(a, mult(mult(b, mult(c, a)), a)))) | (~(mult(mult(a, a), mult(b, mult(c, a))) = mult(a, mult(a, mult(b, mult(c, a))))))))),
% 6.03/6.24 inference(modus_ponens,[status(thm)],[13390, 13389])).
% 6.03/6.24 tff(13392,plain,
% 6.03/6.24 (~((~(mult(mult(a, a), mult(b, mult(c, a))) = mult(a, mult(mult(b, mult(c, a)), a)))) | (~(mult(mult(a, mult(b, mult(c, a))), a) = mult(a, mult(a, mult(b, mult(c, a)))))))),
% 6.03/6.24 inference(unit_resolution,[status(thm)],[13391, 30, 13385])).
% 6.03/6.24 tff(13393,plain,
% 6.03/6.24 (((~(mult(mult(a, a), mult(b, mult(c, a))) = mult(a, mult(mult(b, mult(c, a)), a)))) | (~(mult(mult(a, mult(b, mult(c, a))), a) = mult(a, mult(a, mult(b, mult(c, a))))))) | (mult(mult(a, mult(b, mult(c, a))), a) = mult(a, mult(a, mult(b, mult(c, a)))))),
% 6.03/6.24 inference(tautology,[status(thm)],[])).
% 6.03/6.24 tff(13394,plain,
% 6.03/6.24 (mult(mult(a, mult(b, mult(c, a))), a) = mult(a, mult(a, mult(b, mult(c, a))))),
% 6.03/6.24 inference(unit_resolution,[status(thm)],[13393, 13392])).
% 6.03/6.24 tff(13395,plain,
% 6.03/6.24 (mult(mult(mult(a, c), a), b) = mult(mult(a, mult(c, a)), b)),
% 6.03/6.24 inference(symmetry,[status(thm)],[6925])).
% 6.03/6.24 tff(13396,plain,
% 6.03/6.24 (mult(a, mult(mult(a, c), mult(b, a))) = mult(a, mult(mult(mult(a, c), a), b))),
% 6.03/6.24 inference(monotonicity,[status(thm)],[1720])).
% 6.03/6.24 tff(13397,plain,
% 6.03/6.24 (mult(a, mult(mult(mult(a, c), a), b)) = mult(a, mult(mult(a, c), mult(b, a)))),
% 6.03/6.24 inference(symmetry,[status(thm)],[13396])).
% 6.03/6.24 tff(13398,plain,
% 6.03/6.24 (mult(mult(mult(a, c), a), b) = mult(a, mult(b, mult(c, a)))),
% 6.03/6.24 inference(transitivity,[status(thm)],[13395, 1736])).
% 6.03/6.24 tff(13399,plain,
% 6.03/6.24 (mult(a, mult(mult(mult(a, c), a), b)) = mult(a, mult(a, mult(b, mult(c, a))))),
% 6.03/6.24 inference(monotonicity,[status(thm)],[13398])).
% 6.03/6.24 tff(13400,plain,
% 6.03/6.24 (mult(a, mult(a, mult(b, mult(c, a)))) = mult(a, mult(mult(mult(a, c), a), b))),
% 6.03/6.24 inference(symmetry,[status(thm)],[13399])).
% 6.03/6.24 tff(13401,plain,
% 6.03/6.24 (mult(a, mult(b, mult(c, a))) = mult(mult(a, c), mult(b, a))),
% 6.03/6.24 inference(transitivity,[status(thm)],[1737, 6925, 1362])).
% 6.03/6.24 tff(13402,plain,
% 6.03/6.24 (mult(mult(a, mult(b, mult(c, a))), a) = mult(mult(mult(a, c), mult(b, a)), a)),
% 6.03/6.24 inference(monotonicity,[status(thm)],[13401])).
% 6.03/6.24 tff(13403,plain,
% 6.03/6.24 (mult(mult(mult(a, c), mult(b, a)), a) = mult(mult(a, mult(b, mult(c, a))), a)),
% 6.03/6.24 inference(symmetry,[status(thm)],[13402])).
% 6.03/6.24 tff(13404,assumption,(mult(mult(a, c), mult(mult(a, b), a)) = mult(a, mult(mult(mult(a, b), a), c))), introduced(assumption)).
% 6.03/6.24 tff(13405,plain,
% 6.03/6.24 (mult(a, mult(mult(mult(a, b), a), c)) = mult(mult(a, c), mult(mult(a, b), a))),
% 6.03/6.24 inference(symmetry,[status(thm)],[13404])).
% 6.03/6.24 tff(13406,plain,
% 6.03/6.24 (mult(a, mult(mult(mult(a, b), a), c)) = mult(a, mult(mult(a, c), mult(b, a)))),
% 6.03/6.24 inference(transitivity,[status(thm)],[13405, 1532, 6997, 13403, 11969, 13400, 13397])).
% 6.03/6.24 tff(13407,plain,
% 6.03/6.24 (ld(a, mult(a, mult(mult(mult(a, b), a), c))) = ld(a, mult(a, mult(mult(a, c), mult(b, a))))),
% 6.03/6.24 inference(monotonicity,[status(thm)],[13406])).
% 6.03/6.24 tff(13408,plain,
% 6.03/6.24 (mult(mult(a, mult(b, a)), c) = mult(a, mult(mult(b, a), c))),
% 6.03/6.24 inference(transitivity,[status(thm)],[8336, 11988, 13407, 10815, 1720, 13395, 1736, 5246])).
% 6.03/6.24 tff(13409,plain,
% 6.03/6.24 ($false),
% 6.03/6.24 inference(unit_resolution,[status(thm)],[1394, 13408])).
% 6.03/6.24 tff(13410,plain,((~(mult(mult(a, mult(b, mult(c, a))), a) = mult(a, mult(a, mult(b, mult(c, a)))))) | (mult(mult(a, mult(b, a)), c) = mult(a, mult(mult(b, a), c))) | (~(mult(mult(a, mult(c, a)), b) = mult(a, mult(b, mult(c, a))))) | (~(mult(mult(mult(a, c), a), b) = mult(mult(a, c), mult(b, a)))) | (~(mult(mult(a, c), mult(mult(a, b), a)) = mult(a, mult(mult(mult(a, b), a), c))))), inference(lemma,lemma(discharge,[]))).
% 6.08/6.24 tff(13411,plain,
% 6.08/6.24 (~(mult(mult(a, c), mult(mult(a, b), a)) = mult(a, mult(mult(mult(a, b), a), c)))),
% 6.08/6.24 inference(unit_resolution,[status(thm)],[13410, 13394, 1362, 13383, 1736])).
% 6.08/6.24 tff(13412,plain,
% 6.08/6.24 (((~(mult(mult(a, c), mult(mult(a, b), a)) = mult(a, mult(mult(mult(a, b), a), c)))) | (~(mult(mult(a, mult(mult(a, b), a)), c) = mult(a, mult(c, mult(mult(a, b), a)))))) | (mult(mult(a, c), mult(mult(a, b), a)) = mult(a, mult(mult(mult(a, b), a), c)))),
% 6.08/6.24 inference(tautology,[status(thm)],[])).
% 6.08/6.24 tff(13413,plain,
% 6.08/6.24 ((~(mult(mult(a, c), mult(mult(a, b), a)) = mult(a, mult(mult(mult(a, b), a), c)))) | (~(mult(mult(a, mult(mult(a, b), a)), c) = mult(a, mult(c, mult(mult(a, b), a)))))),
% 6.08/6.24 inference(unit_resolution,[status(thm)],[13412, 13411])).
% 6.08/6.24 tff(13414,plain,
% 6.08/6.24 (mult(mult(a, c), mult(mult(a, b), a)) = mult(a, mult(c, mult(mult(a, b), a)))),
% 6.08/6.24 inference(unit_resolution,[status(thm)],[13294, 13413])).
% 6.08/6.24 tff(13415,plain,
% 6.08/6.24 (mult(a, mult(mult(c, a), mult(a, b))) = mult(a, mult(mult(mult(c, a), b), a))),
% 6.08/6.24 inference(monotonicity,[status(thm)],[10313])).
% 6.08/6.24 tff(13416,plain,
% 6.08/6.24 (mult(a, mult(mult(c, a), mult(a, b))) = mult(a, mult(c, mult(mult(a, b), a)))),
% 6.08/6.24 inference(transitivity,[status(thm)],[13415, 12148])).
% 6.08/6.24 tff(13417,plain,
% 6.08/6.24 (mult(mult(a, mult(c, a)), mult(a, b)) = mult(mult(mult(a, c), a), mult(a, b))),
% 6.08/6.24 inference(monotonicity,[status(thm)],[8213])).
% 6.08/6.24 tff(13418,plain,
% 6.08/6.24 (mult(mult(a, mult(c, a)), mult(a, b)) = mult(mult(a, c), mult(mult(a, b), a))),
% 6.08/6.24 inference(transitivity,[status(thm)],[13417, 10864])).
% 6.08/6.24 tff(13419,plain,
% 6.08/6.24 ((mult(mult(a, mult(c, a)), mult(a, b)) = mult(a, mult(mult(c, a), mult(a, b)))) <=> (mult(mult(a, c), mult(mult(a, b), a)) = mult(a, mult(c, mult(mult(a, b), a))))),
% 6.08/6.24 inference(monotonicity,[status(thm)],[13418, 13416])).
% 6.08/6.24 tff(13420,plain,
% 6.08/6.24 ((mult(mult(a, c), mult(mult(a, b), a)) = mult(a, mult(c, mult(mult(a, b), a)))) <=> (mult(mult(a, mult(c, a)), mult(a, b)) = mult(a, mult(mult(c, a), mult(a, b))))),
% 6.08/6.24 inference(symmetry,[status(thm)],[13419])).
% 6.08/6.24 tff(13421,plain,
% 6.08/6.24 (mult(mult(a, mult(c, a)), mult(a, b)) = mult(a, mult(mult(c, a), mult(a, b)))),
% 6.08/6.24 inference(modus_ponens,[status(thm)],[10783, 13420])).
% 6.08/6.24 tff(13422,plain,
% 6.08/6.24 ($false),
% 6.08/6.24 inference(unit_resolution,[status(thm)],[13305, 13421])).
% 6.08/6.24 tff(13423,plain,((mult(mult(a, mult(c, a)), mult(a, b)) = mult(a, mult(mult(c, a), mult(a, b)))) | (~(mult(mult(a, c), mult(mult(a, b), a)) = mult(a, mult(c, mult(mult(a, b), a))))) | (~(mult(mult(c, a), mult(a, b)) = mult(c, mult(mult(a, b), a)))) | (~(mult(mult(mult(a, c), a), mult(a, b)) = mult(mult(a, c), mult(mult(a, b), a))))), inference(lemma,lemma(discharge,[]))).
% 6.08/6.24 tff(13424,plain,
% 6.08/6.24 (mult(mult(a, mult(c, a)), mult(a, b)) = mult(a, mult(mult(c, a), mult(a, b)))),
% 6.08/6.24 inference(unit_resolution,[status(thm)],[13423, 13414, 9263, 6854])).
% 6.08/6.24 tff(13425,plain,
% 6.08/6.24 (mult(mult(mult(a, b), a), c) = mult(mult(a, mult(b, a)), c)),
% 6.08/6.24 inference(symmetry,[status(thm)],[2150])).
% 6.08/6.24 tff(13426,plain,
% 6.08/6.24 ((~![B: $i, A: $i] : (rd(mult(A, B), B) = A)) | (rd(mult(mult(mult(mult(a, b), a), c), a), a) = mult(mult(mult(a, b), a), c))),
% 6.08/6.24 inference(quant_inst,[status(thm)],[])).
% 6.08/6.24 tff(13427,plain,
% 6.08/6.24 (rd(mult(mult(mult(mult(a, b), a), c), a), a) = mult(mult(mult(a, b), a), c)),
% 6.08/6.24 inference(unit_resolution,[status(thm)],[13426, 72])).
% 6.08/6.24 tff(13428,plain,
% 6.08/6.24 (mult(mult(a, mult(c, a)), mult(a, b)) = mult(mult(mult(a, c), a), mult(a, b))),
% 6.08/6.24 inference(monotonicity,[status(thm)],[4860])).
% 6.08/6.24 tff(13429,assumption,(mult(mult(a, mult(c, a)), mult(a, b)) = mult(a, mult(mult(c, a), mult(a, b)))), introduced(assumption)).
% 6.08/6.24 tff(13430,plain,
% 6.08/6.24 (mult(a, mult(mult(c, a), mult(a, b))) = mult(mult(a, mult(c, a)), mult(a, b))),
% 6.08/6.24 inference(symmetry,[status(thm)],[13429])).
% 6.08/6.24 tff(13431,plain,
% 6.08/6.24 (mult(mult(mult(a, b), a), c) = mult(a, mult(mult(c, a), b))),
% 6.08/6.24 inference(transitivity,[status(thm)],[13425, 218, 2096])).
% 6.08/6.24 tff(13432,plain,
% 6.08/6.24 (mult(mult(mult(mult(a, b), a), c), a) = mult(mult(a, mult(mult(c, a), b)), a)),
% 6.08/6.25 inference(monotonicity,[status(thm)],[13431])).
% 6.08/6.25 tff(13433,plain,
% 6.08/6.25 (mult(mult(mult(mult(a, b), a), c), a) = mult(mult(mult(a, c), mult(b, a)), a)),
% 6.08/6.25 inference(transitivity,[status(thm)],[13432, 10831, 13306, 13430, 13428, 10864, 1532, 6997])).
% 6.08/6.25 tff(13434,plain,
% 6.08/6.25 (rd(mult(mult(mult(mult(a, b), a), c), a), a) = rd(mult(mult(mult(a, c), mult(b, a)), a), a)),
% 6.08/6.25 inference(monotonicity,[status(thm)],[13433])).
% 6.08/6.25 tff(13435,plain,
% 6.08/6.25 (rd(mult(mult(mult(a, c), mult(b, a)), a), a) = rd(mult(mult(mult(mult(a, b), a), c), a), a)),
% 6.08/6.25 inference(symmetry,[status(thm)],[13434])).
% 6.08/6.25 tff(13436,plain,
% 6.08/6.25 (mult(mult(a, c), mult(b, a)) = rd(mult(mult(mult(a, c), mult(b, a)), a), a)),
% 6.08/6.25 inference(symmetry,[status(thm)],[1528])).
% 6.08/6.25 tff(13437,plain,
% 6.08/6.25 (mult(mult(a, c), mult(b, a)) = mult(a, mult(c, mult(b, a)))),
% 6.08/6.25 inference(transitivity,[status(thm)],[13436, 13435, 13427, 13425, 218])).
% 6.08/6.25 tff(13438,plain,
% 6.08/6.25 ($false),
% 6.08/6.25 inference(unit_resolution,[status(thm)],[119, 13437])).
% 6.08/6.25 tff(13439,plain,((~(mult(mult(a, mult(mult(c, a), b)), a) = mult(a, mult(mult(mult(c, a), b), a)))) | (mult(mult(a, c), mult(b, a)) = mult(a, mult(c, mult(b, a)))) | (~(mult(mult(mult(a, c), a), mult(a, b)) = mult(mult(a, c), mult(mult(a, b), a)))) | (~(mult(mult(a, mult(c, a)), mult(a, b)) = mult(a, mult(mult(c, a), mult(a, b))))) | (~(mult(mult(b, mult(c, a)), a) = mult(b, mult(a, mult(c, a))))) | (~(mult(mult(c, a), mult(a, b)) = mult(c, mult(mult(a, b), a)))) | (~(mult(mult(c, a), b) = mult(c, mult(b, a)))) | (~(mult(mult(mult(a, c), a), b) = mult(mult(a, c), mult(b, a)))) | (~(mult(mult(a, b), a) = mult(a, mult(b, a))))), inference(lemma,lemma(discharge,[]))).
% 6.08/6.25 tff(13440,plain,
% 6.08/6.25 ((~(mult(mult(a, mult(mult(c, a), b)), a) = mult(a, mult(mult(mult(c, a), b), a)))) | (mult(mult(a, c), mult(b, a)) = mult(a, mult(c, mult(b, a)))) | (~(mult(mult(mult(a, c), a), mult(a, b)) = mult(mult(a, c), mult(mult(a, b), a)))) | (~(mult(mult(a, mult(c, a)), mult(a, b)) = mult(a, mult(mult(c, a), mult(a, b))))) | (~(mult(mult(c, a), mult(a, b)) = mult(c, mult(mult(a, b), a)))) | (~(mult(mult(c, a), b) = mult(c, mult(b, a)))) | (~(mult(mult(mult(a, c), a), b) = mult(mult(a, c), mult(b, a)))) | (~(mult(mult(a, b), a) = mult(a, mult(b, a))))),
% 6.08/6.25 inference(unit_resolution,[status(thm)],[13439, 4679])).
% 6.08/6.25 tff(13441,plain,
% 6.08/6.25 ((~(mult(mult(a, mult(mult(c, a), b)), a) = mult(a, mult(mult(mult(c, a), b), a)))) | (mult(mult(a, c), mult(b, a)) = mult(a, mult(c, mult(b, a)))) | (~(mult(mult(mult(a, c), a), mult(a, b)) = mult(mult(a, c), mult(mult(a, b), a)))) | (~(mult(mult(a, mult(c, a)), mult(a, b)) = mult(a, mult(mult(c, a), mult(a, b))))) | (~(mult(mult(c, a), mult(a, b)) = mult(c, mult(mult(a, b), a)))) | (~(mult(mult(c, a), b) = mult(c, mult(b, a)))) | (~(mult(mult(mult(a, c), a), b) = mult(mult(a, c), mult(b, a))))),
% 6.08/6.25 inference(unit_resolution,[status(thm)],[13440, 4193])).
% 6.08/6.25 tff(13442,plain,
% 6.08/6.25 (~(mult(mult(a, mult(mult(c, a), b)), a) = mult(a, mult(mult(mult(c, a), b), a)))),
% 6.08/6.25 inference(unit_resolution,[status(thm)],[13441, 13424, 119, 6854, 9263, 342, 1362])).
% 6.08/6.25 tff(13443,plain,
% 6.08/6.25 (((~(mult(mult(a, mult(mult(c, a), b)), a) = mult(a, mult(mult(mult(c, a), b), a)))) | (~(mult(mult(a, a), mult(mult(c, a), b)) = mult(a, mult(a, mult(mult(c, a), b)))))) | (mult(mult(a, mult(mult(c, a), b)), a) = mult(a, mult(mult(mult(c, a), b), a)))),
% 6.08/6.25 inference(tautology,[status(thm)],[])).
% 6.08/6.25 tff(13444,plain,
% 6.08/6.25 ((~(mult(mult(a, mult(mult(c, a), b)), a) = mult(a, mult(mult(mult(c, a), b), a)))) | (~(mult(mult(a, a), mult(mult(c, a), b)) = mult(a, mult(a, mult(mult(c, a), b)))))),
% 6.08/6.25 inference(unit_resolution,[status(thm)],[13443, 13442])).
% 6.08/6.25 tff(13445,plain,
% 6.08/6.25 (~((~(mult(mult(a, mult(mult(c, a), b)), a) = mult(a, mult(a, mult(mult(c, a), b))))) | (~(mult(mult(a, a), mult(mult(c, a), b)) = mult(a, mult(mult(mult(c, a), b), a)))))),
% 6.08/6.25 inference(unit_resolution,[status(thm)],[11043, 13444])).
% 6.08/6.25 tff(13446,plain,
% 6.08/6.25 (mult(mult(a, mult(mult(c, a), b)), a) = mult(a, mult(a, mult(mult(c, a), b)))),
% 6.08/6.25 inference(unit_resolution,[status(thm)],[11050, 13445])).
% 6.08/6.25 tff(13447,plain,
% 6.08/6.25 (mult(mult(mult(a, c), a), b) = mult(mult(a, mult(c, a)), b)),
% 6.08/6.25 inference(symmetry,[status(thm)],[8214])).
% 6.08/6.25 tff(13448,plain,
% 6.08/6.25 (mult(mult(a, c), mult(b, a)) = mult(a, mult(b, mult(c, a)))),
% 6.08/6.25 inference(transitivity,[status(thm)],[1720, 13447, 1736])).
% 6.08/6.25 tff(13449,plain,
% 6.08/6.25 ((mult(mult(a, c), mult(b, a)) = mult(a, mult(c, mult(b, a)))) <=> (mult(a, mult(b, mult(c, a))) = mult(a, mult(mult(c, a), b)))),
% 6.08/6.25 inference(monotonicity,[status(thm)],[13448, 2096])).
% 6.08/6.25 tff(13450,plain,
% 6.08/6.25 ((~(mult(mult(a, c), mult(b, a)) = mult(a, mult(c, mult(b, a))))) <=> (~(mult(a, mult(b, mult(c, a))) = mult(a, mult(mult(c, a), b))))),
% 6.08/6.25 inference(monotonicity,[status(thm)],[13449])).
% 6.08/6.25 tff(13451,plain,
% 6.08/6.25 (~(mult(a, mult(b, mult(c, a))) = mult(a, mult(mult(c, a), b)))),
% 6.08/6.25 inference(modus_ponens,[status(thm)],[119, 13450])).
% 6.08/6.25 tff(13452,assumption,(~(mult(a, mult(b, mult(c, a))) = mult(a, mult(mult(c, a), b)))), introduced(assumption)).
% 6.08/6.25 tff(13453,assumption,(mult(b, mult(c, a)) = mult(mult(c, a), b)), introduced(assumption)).
% 6.08/6.25 tff(13454,plain,
% 6.08/6.25 (mult(a, mult(b, mult(c, a))) = mult(a, mult(mult(c, a), b))),
% 6.08/6.25 inference(monotonicity,[status(thm)],[13453])).
% 6.08/6.25 tff(13455,plain,
% 6.08/6.25 ($false),
% 6.08/6.25 inference(unit_resolution,[status(thm)],[13454, 13452])).
% 6.08/6.25 tff(13456,plain,((~(mult(b, mult(c, a)) = mult(mult(c, a), b))) | (mult(a, mult(b, mult(c, a))) = mult(a, mult(mult(c, a), b)))), inference(lemma,lemma(discharge,[]))).
% 6.08/6.25 tff(13457,plain,
% 6.08/6.25 (~(mult(b, mult(c, a)) = mult(mult(c, a), b))),
% 6.08/6.25 inference(unit_resolution,[status(thm)],[13456, 13451])).
% 6.08/6.25 tff(13458,plain,
% 6.08/6.25 (mult(mult(mult(a, b), mult(a, c)), a) = mult(mult(a, b), mult(a, mult(a, c)))),
% 6.08/6.25 inference(unit_resolution,[status(thm)],[10645, 10911, 1, 168])).
% 6.08/6.25 tff(13459,plain,
% 6.08/6.25 (mult(mult(mult(a, b), a), mult(a, c)) = mult(mult(a, b), mult(mult(a, c), a))),
% 6.08/6.25 inference(unit_resolution,[status(thm)],[10724, 13458])).
% 6.08/6.25 tff(13460,plain,
% 6.08/6.25 ((mult(a, mult(mult(b, a), c)) = mult(mult(a, mult(b, a)), c)) <=> (mult(mult(a, mult(b, a)), c) = mult(a, mult(mult(b, a), c)))),
% 6.08/6.25 inference(commutativity,[status(thm)],[])).
% 6.08/6.25 tff(13461,plain,
% 6.08/6.25 ((mult(mult(a, c), mult(b, a)) = mult(a, mult(c, mult(b, a)))) <=> (mult(a, mult(mult(b, a), c)) = mult(mult(a, mult(b, a)), c))),
% 6.08/6.25 inference(monotonicity,[status(thm)],[13275, 3830])).
% 6.08/6.25 tff(13462,plain,
% 6.08/6.25 ((mult(mult(a, c), mult(b, a)) = mult(a, mult(c, mult(b, a)))) <=> (mult(mult(a, mult(b, a)), c) = mult(a, mult(mult(b, a), c)))),
% 6.08/6.25 inference(transitivity,[status(thm)],[13461, 13460])).
% 6.08/6.25 tff(13463,plain,
% 6.08/6.25 ((~(mult(mult(a, c), mult(b, a)) = mult(a, mult(c, mult(b, a))))) <=> (~(mult(mult(a, mult(b, a)), c) = mult(a, mult(mult(b, a), c))))),
% 6.08/6.25 inference(monotonicity,[status(thm)],[13462])).
% 6.08/6.25 tff(13464,plain,
% 6.08/6.25 (~(mult(mult(a, mult(b, a)), c) = mult(a, mult(mult(b, a), c)))),
% 6.08/6.25 inference(modus_ponens,[status(thm)],[119, 13463])).
% 6.08/6.25 tff(13465,plain,
% 6.08/6.25 (~(mult(mult(a, c), mult(mult(a, b), a)) = mult(a, mult(mult(mult(a, b), a), c)))),
% 6.08/6.25 inference(unit_resolution,[status(thm)],[13410, 11969, 1362, 13464, 1736])).
% 6.08/6.25 tff(13466,plain,
% 6.08/6.25 ((~(mult(mult(a, c), mult(mult(a, b), a)) = mult(a, mult(mult(mult(a, b), a), c)))) | (~(mult(mult(a, mult(mult(a, b), a)), c) = mult(a, mult(c, mult(mult(a, b), a)))))),
% 6.08/6.25 inference(unit_resolution,[status(thm)],[13412, 13465])).
% 6.08/6.25 tff(13467,plain,
% 6.08/6.25 (mult(mult(a, c), mult(mult(a, b), a)) = mult(a, mult(c, mult(mult(a, b), a)))),
% 6.08/6.25 inference(unit_resolution,[status(thm)],[13294, 13466])).
% 6.08/6.25 tff(13468,plain,
% 6.08/6.25 (mult(a, mult(c, mult(mult(a, b), a))) = mult(mult(a, c), mult(mult(a, b), a))),
% 6.08/6.25 inference(symmetry,[status(thm)],[13467])).
% 6.08/6.25 tff(13469,plain,
% 6.08/6.25 (mult(a, mult(mult(mult(c, a), b), a)) = mult(mult(a, c), mult(a, mult(b, a)))),
% 6.08/6.25 inference(transitivity,[status(thm)],[12148, 13468, 10732])).
% 6.08/6.25 tff(13470,plain,
% 6.08/6.25 (mult(a, mult(mult(b, a), c)) = mult(a, mult(b, mult(c, a)))),
% 6.08/6.25 inference(symmetry,[status(thm)],[13277])).
% 6.08/6.25 tff(13471,plain,
% 6.08/6.25 (mult(mult(a, c), mult(b, a)) = mult(a, mult(b, mult(c, a)))),
% 6.08/6.25 inference(transitivity,[status(thm)],[13275, 13470])).
% 6.08/6.25 tff(13472,plain,
% 6.08/6.25 (mult(mult(mult(a, c), mult(b, a)), a) = mult(mult(a, mult(b, mult(c, a))), a)),
% 6.08/6.25 inference(monotonicity,[status(thm)],[13471])).
% 6.08/6.25 tff(13473,plain,
% 6.08/6.25 (mult(mult(a, mult(b, mult(c, a))), a) = mult(mult(mult(a, c), mult(b, a)), a)),
% 6.08/6.25 inference(symmetry,[status(thm)],[13472])).
% 6.08/6.25 tff(13474,plain,
% 6.08/6.25 (mult(a, mult(b, mult(c, a))) = mult(mult(a, c), mult(b, a))),
% 6.08/6.25 inference(transitivity,[status(thm)],[13277, 13276])).
% 6.08/6.25 tff(13475,plain,
% 6.08/6.25 (mult(a, mult(a, mult(b, mult(c, a)))) = mult(a, mult(mult(a, c), mult(b, a)))),
% 6.08/6.25 inference(monotonicity,[status(thm)],[13474])).
% 6.08/6.25 tff(13476,plain,
% 6.08/6.25 (mult(a, mult(mult(a, c), mult(b, a))) = mult(a, mult(a, mult(b, mult(c, a))))),
% 6.08/6.25 inference(symmetry,[status(thm)],[13475])).
% 6.08/6.25 tff(13477,plain,
% 6.08/6.25 (mult(a, mult(mult(c, a), b)) = mult(mult(mult(a, b), a), c)),
% 6.08/6.25 inference(transitivity,[status(thm)],[352, 3830, 8336])).
% 6.08/6.25 tff(13478,plain,
% 6.08/6.25 (mult(mult(a, mult(mult(c, a), b)), a) = mult(mult(mult(mult(a, b), a), c), a)),
% 6.08/6.25 inference(monotonicity,[status(thm)],[13477])).
% 6.08/6.25 tff(13479,plain,
% 6.08/6.25 (mult(mult(a, mult(mult(c, a), b)), a) = mult(mult(mult(a, c), mult(b, a)), a)),
% 6.08/6.25 inference(transitivity,[status(thm)],[13478, 11096, 11018, 11016, 11965, 13476, 12185, 13473])).
% 6.08/6.25 tff(13480,plain,
% 6.08/6.25 ((mult(mult(a, mult(mult(c, a), b)), a) = mult(a, mult(mult(mult(c, a), b), a))) <=> (mult(mult(mult(a, c), mult(b, a)), a) = mult(mult(a, c), mult(a, mult(b, a))))),
% 6.08/6.25 inference(monotonicity,[status(thm)],[13479, 13469])).
% 6.08/6.25 tff(13481,plain,
% 6.08/6.25 ((mult(mult(mult(a, c), mult(b, a)), a) = mult(mult(a, c), mult(a, mult(b, a)))) <=> (mult(mult(a, mult(mult(c, a), b)), a) = mult(a, mult(mult(mult(c, a), b), a)))),
% 6.08/6.25 inference(symmetry,[status(thm)],[13480])).
% 6.08/6.25 tff(13482,plain,
% 6.08/6.25 (mult(mult(a, mult(mult(c, a), b)), a) = mult(a, mult(mult(mult(c, a), b), a))),
% 6.08/6.25 inference(modus_ponens,[status(thm)],[11029, 13481])).
% 6.08/6.25 tff(13483,plain,
% 6.08/6.25 (mult(mult(a, mult(c, a)), mult(a, b)) = mult(a, mult(mult(c, a), mult(a, b)))),
% 6.08/6.25 inference(unit_resolution,[status(thm)],[13423, 13467, 9263, 10864])).
% 6.08/6.25 tff(13484,plain,
% 6.08/6.25 (~(mult(mult(a, mult(mult(c, a), b)), a) = mult(a, mult(mult(mult(c, a), b), a)))),
% 6.08/6.25 inference(unit_resolution,[status(thm)],[13441, 13483, 119, 10864, 9263, 342, 1362])).
% 6.08/6.25 tff(13485,plain,
% 6.08/6.25 ($false),
% 6.08/6.25 inference(unit_resolution,[status(thm)],[13484, 13482])).
% 6.08/6.25 tff(13486,plain,((~(mult(mult(a, mult(b, mult(c, a))), a) = mult(a, mult(a, mult(b, mult(c, a)))))) | (~(mult(mult(a, mult(b, a)), mult(a, c)) = mult(a, mult(mult(a, c), mult(b, a))))) | (~(mult(mult(mult(a, b), a), mult(a, c)) = mult(mult(a, b), mult(mult(a, c), a)))) | (~(mult(mult(c, a), b) = mult(c, mult(b, a)))) | (mult(mult(a, c), mult(b, a)) = mult(a, mult(c, mult(b, a)))) | (~(mult(mult(mult(a, c), a), mult(a, b)) = mult(mult(a, c), mult(mult(a, b), a)))) | (~(mult(mult(c, a), mult(a, b)) = mult(c, mult(mult(a, b), a)))) | (~(mult(mult(mult(a, c), a), b) = mult(mult(a, c), mult(b, a)))) | (~(mult(mult(a, mult(c, a)), b) = mult(a, mult(b, mult(c, a)))))), inference(lemma,lemma(discharge,[]))).
% 6.08/6.25 tff(13487,plain,
% 6.08/6.25 (~(mult(mult(a, mult(b, a)), mult(a, c)) = mult(a, mult(mult(a, c), mult(b, a))))),
% 6.08/6.25 inference(unit_resolution,[status(thm)],[13486, 13394, 13459, 342, 119, 6854, 9263, 1362, 1736])).
% 6.08/6.25 tff(13488,plain,
% 6.08/6.25 ((~(mult(mult(a, mult(a, c)), mult(b, a)) = mult(a, mult(mult(b, a), mult(a, c))))) | (~(mult(mult(a, mult(b, a)), mult(a, c)) = mult(a, mult(mult(a, c), mult(b, a)))))),
% 6.08/6.25 inference(unit_resolution,[status(thm)],[11066, 13487])).
% 6.08/6.25 tff(13489,plain,
% 6.08/6.25 (~((~(mult(mult(a, mult(a, c)), mult(b, a)) = mult(a, mult(mult(a, c), mult(b, a))))) | (~(mult(mult(a, mult(b, a)), mult(a, c)) = mult(a, mult(mult(b, a), mult(a, c))))))),
% 6.08/6.25 inference(unit_resolution,[status(thm)],[11064, 13488])).
% 6.08/6.25 tff(13490,plain,
% 6.08/6.25 (mult(mult(a, mult(b, a)), mult(a, c)) = mult(a, mult(mult(b, a), mult(a, c)))),
% 6.08/6.25 inference(unit_resolution,[status(thm)],[11059, 13489])).
% 6.08/6.25 tff(13491,plain,
% 6.08/6.25 (mult(mult(mult(a, a), c), b) = mult(mult(a, a), mult(c, b))),
% 6.08/6.25 inference(unit_resolution,[status(thm)],[10463, 10911, 8996])).
% 6.08/6.25 tff(13492,plain,
% 6.08/6.25 (mult(mult(a, a), mult(mult(b, a), c)) = mult(mult(a, a), mult(b, mult(c, a)))),
% 6.08/6.25 inference(monotonicity,[status(thm)],[3427])).
% 6.08/6.25 tff(13493,plain,
% 6.08/6.25 (mult(mult(a, a), mult(b, mult(c, a))) = mult(mult(a, a), mult(mult(b, a), c))),
% 6.08/6.25 inference(symmetry,[status(thm)],[13492])).
% 6.08/6.25 tff(13494,assumption,(~(mult(mult(mult(a, a), mult(b, a)), c) = mult(mult(a, a), mult(mult(b, a), c)))), introduced(assumption)).
% 6.08/6.25 tff(13495,plain,
% 6.08/6.25 (((~(mult(mult(mult(a, a), c), mult(b, a)) = mult(mult(a, a), mult(c, mult(b, a))))) | (~(mult(mult(mult(a, a), mult(b, a)), c) = mult(mult(a, a), mult(mult(b, a), c))))) | (mult(mult(mult(a, a), mult(b, a)), c) = mult(mult(a, a), mult(mult(b, a), c)))),
% 6.08/6.25 inference(tautology,[status(thm)],[])).
% 6.08/6.25 tff(13496,plain,
% 6.08/6.25 ((~(mult(mult(mult(a, a), c), mult(b, a)) = mult(mult(a, a), mult(c, mult(b, a))))) | (~(mult(mult(mult(a, a), mult(b, a)), c) = mult(mult(a, a), mult(mult(b, a), c))))),
% 6.08/6.25 inference(unit_resolution,[status(thm)],[13495, 13494])).
% 6.08/6.25 tff(13497,plain,
% 6.08/6.25 (~((~(mult(mult(mult(a, a), c), mult(b, a)) = mult(mult(a, a), mult(mult(b, a), c)))) | (~(mult(mult(mult(a, a), mult(b, a)), c) = mult(mult(a, a), mult(c, mult(b, a))))))),
% 6.08/6.25 inference(unit_resolution,[status(thm)],[11117, 13496])).
% 6.08/6.25 tff(13498,plain,
% 6.08/6.25 (((~(mult(mult(mult(a, a), c), mult(b, a)) = mult(mult(a, a), mult(mult(b, a), c)))) | (~(mult(mult(mult(a, a), mult(b, a)), c) = mult(mult(a, a), mult(c, mult(b, a)))))) | (mult(mult(mult(a, a), c), mult(b, a)) = mult(mult(a, a), mult(mult(b, a), c)))),
% 6.08/6.25 inference(tautology,[status(thm)],[])).
% 6.08/6.25 tff(13499,plain,
% 6.08/6.25 (mult(mult(mult(a, a), c), mult(b, a)) = mult(mult(a, a), mult(mult(b, a), c))),
% 6.08/6.25 inference(unit_resolution,[status(thm)],[13498, 13497])).
% 6.08/6.25 tff(13500,plain,
% 6.08/6.25 ((mult(a, mult(a, mult(b, mult(c, a)))) = mult(mult(a, a), mult(b, mult(c, a)))) <=> (mult(mult(a, a), mult(b, mult(c, a))) = mult(a, mult(a, mult(b, mult(c, a)))))),
% 6.08/6.25 inference(commutativity,[status(thm)],[])).
% 6.08/6.25 tff(13501,plain,
% 6.08/6.25 (((~(mult(mult(a, a), mult(b, mult(c, a))) = mult(a, mult(mult(b, mult(c, a)), a)))) | (~(mult(mult(a, mult(b, mult(c, a))), a) = mult(a, mult(a, mult(b, mult(c, a))))))) | (mult(mult(a, a), mult(b, mult(c, a))) = mult(a, mult(mult(b, mult(c, a)), a)))),
% 6.08/6.25 inference(tautology,[status(thm)],[])).
% 6.08/6.25 tff(13502,plain,
% 6.08/6.25 (mult(mult(a, a), mult(b, mult(c, a))) = mult(a, mult(mult(b, mult(c, a)), a))),
% 6.08/6.25 inference(unit_resolution,[status(thm)],[13501, 13392])).
% 6.08/6.25 tff(13503,plain,
% 6.08/6.25 (mult(a, mult(mult(b, mult(c, a)), a)) = mult(mult(a, a), mult(b, mult(c, a)))),
% 6.08/6.25 inference(symmetry,[status(thm)],[13502])).
% 6.08/6.25 tff(13504,plain,
% 6.08/6.25 ((mult(mult(a, mult(b, mult(c, a))), a) = mult(a, mult(mult(b, mult(c, a)), a))) <=> (mult(a, mult(a, mult(b, mult(c, a)))) = mult(mult(a, a), mult(b, mult(c, a))))),
% 6.08/6.25 inference(monotonicity,[status(thm)],[13394, 13503])).
% 6.08/6.25 tff(13505,plain,
% 6.08/6.25 ((mult(mult(a, mult(b, mult(c, a))), a) = mult(a, mult(mult(b, mult(c, a)), a))) <=> (mult(mult(a, a), mult(b, mult(c, a))) = mult(a, mult(a, mult(b, mult(c, a)))))),
% 6.08/6.25 inference(transitivity,[status(thm)],[13504, 13500])).
% 6.08/6.25 tff(13506,plain,
% 6.08/6.25 ((mult(mult(a, a), mult(b, mult(c, a))) = mult(a, mult(a, mult(b, mult(c, a))))) <=> (mult(mult(a, mult(b, mult(c, a))), a) = mult(a, mult(mult(b, mult(c, a)), a)))),
% 6.08/6.25 inference(symmetry,[status(thm)],[13505])).
% 6.08/6.25 tff(13507,assumption,(mult(mult(mult(a, a), c), mult(b, a)) = mult(mult(a, a), mult(mult(b, a), c))), introduced(assumption)).
% 6.08/6.25 tff(13508,plain,
% 6.08/6.25 (rd(mult(mult(a, mult(a, c)), b), b) = rd(mult(mult(mult(a, a), c), b), b)),
% 6.08/6.25 inference(symmetry,[status(thm)],[11080])).
% 6.08/6.25 tff(13509,plain,
% 6.08/6.25 (mult(a, mult(a, c)) = mult(mult(a, a), c)),
% 6.08/6.25 inference(transitivity,[status(thm)],[6228, 13508, 2650])).
% 6.08/6.25 tff(13510,plain,
% 6.08/6.25 (mult(mult(a, mult(a, c)), mult(b, a)) = mult(mult(mult(a, a), c), mult(b, a))),
% 6.08/6.25 inference(monotonicity,[status(thm)],[13509])).
% 6.08/6.25 tff(13511,plain,
% 6.08/6.25 (mult(mult(a, mult(a, c)), mult(b, a)) = mult(mult(a, a), mult(b, mult(c, a)))),
% 6.08/6.25 inference(transitivity,[status(thm)],[13510, 13507, 13492])).
% 6.08/6.25 tff(13512,plain,
% 6.08/6.25 ((mult(mult(a, mult(a, c)), mult(b, a)) = mult(a, mult(mult(a, c), mult(b, a)))) <=> (mult(mult(a, a), mult(b, mult(c, a))) = mult(a, mult(a, mult(b, mult(c, a)))))),
% 6.08/6.26 inference(monotonicity,[status(thm)],[13511, 13476])).
% 6.08/6.26 tff(13513,plain,
% 6.08/6.26 (~(mult(mult(a, mult(b, a)), mult(a, c)) = mult(a, mult(mult(a, c), mult(b, a))))),
% 6.08/6.26 inference(unit_resolution,[status(thm)],[13486, 13394, 11017, 342, 119, 10864, 9263, 1362, 1736])).
% 6.08/6.26 tff(13514,plain,
% 6.08/6.26 ((~(mult(mult(a, mult(a, c)), mult(b, a)) = mult(a, mult(mult(b, a), mult(a, c))))) | (~(mult(mult(a, mult(b, a)), mult(a, c)) = mult(a, mult(mult(a, c), mult(b, a)))))),
% 6.08/6.26 inference(unit_resolution,[status(thm)],[11066, 13513])).
% 6.08/6.26 tff(13515,plain,
% 6.08/6.26 (~((~(mult(mult(a, mult(a, c)), mult(b, a)) = mult(a, mult(mult(a, c), mult(b, a))))) | (~(mult(mult(a, mult(b, a)), mult(a, c)) = mult(a, mult(mult(b, a), mult(a, c))))))),
% 6.08/6.26 inference(unit_resolution,[status(thm)],[11064, 13514])).
% 6.08/6.26 tff(13516,plain,
% 6.08/6.26 (((~(mult(mult(a, mult(a, c)), mult(b, a)) = mult(a, mult(mult(a, c), mult(b, a))))) | (~(mult(mult(a, mult(b, a)), mult(a, c)) = mult(a, mult(mult(b, a), mult(a, c)))))) | (mult(mult(a, mult(a, c)), mult(b, a)) = mult(a, mult(mult(a, c), mult(b, a))))),
% 6.08/6.26 inference(tautology,[status(thm)],[])).
% 6.08/6.26 tff(13517,plain,
% 6.08/6.26 (mult(mult(a, mult(a, c)), mult(b, a)) = mult(a, mult(mult(a, c), mult(b, a)))),
% 6.08/6.26 inference(unit_resolution,[status(thm)],[13516, 13515])).
% 6.08/6.26 tff(13518,plain,
% 6.08/6.26 (mult(mult(a, a), mult(b, mult(c, a))) = mult(a, mult(a, mult(b, mult(c, a))))),
% 6.08/6.26 inference(modus_ponens,[status(thm)],[13517, 13512])).
% 6.08/6.26 tff(13519,plain,
% 6.08/6.26 (mult(mult(a, mult(b, mult(c, a))), a) = mult(a, mult(mult(b, mult(c, a)), a))),
% 6.08/6.26 inference(modus_ponens,[status(thm)],[13518, 13506])).
% 6.08/6.26 tff(13520,plain,
% 6.08/6.26 ($false),
% 6.08/6.26 inference(unit_resolution,[status(thm)],[13369, 13519])).
% 6.08/6.26 tff(13521,plain,((~(mult(mult(mult(a, a), c), mult(b, a)) = mult(mult(a, a), mult(mult(b, a), c)))) | (mult(mult(a, mult(b, mult(c, a))), a) = mult(a, mult(mult(b, mult(c, a)), a))) | (~(mult(mult(a, mult(a, c)), b) = mult(a, mult(mult(a, c), b)))) | (~(mult(mult(mult(a, a), c), b) = mult(mult(a, a), mult(c, b)))) | (~(mult(mult(mult(a, b), a), mult(a, c)) = mult(mult(a, b), mult(mult(a, c), a)))) | (~(mult(mult(c, a), b) = mult(c, mult(b, a)))) | (mult(mult(a, c), mult(b, a)) = mult(a, mult(c, mult(b, a)))) | (~(mult(mult(mult(a, c), a), mult(a, b)) = mult(mult(a, c), mult(mult(a, b), a)))) | (~(mult(mult(c, a), mult(a, b)) = mult(c, mult(mult(a, b), a)))) | (~(mult(mult(mult(a, c), a), b) = mult(mult(a, c), mult(b, a)))) | (~(mult(mult(a, mult(c, a)), b) = mult(a, mult(b, mult(c, a)))))), inference(lemma,lemma(discharge,[]))).
% 6.08/6.26 tff(13522,plain,
% 6.08/6.26 (mult(mult(a, c), mult(b, a)) = mult(a, mult(c, mult(b, a)))),
% 6.08/6.26 inference(unit_resolution,[status(thm)],[13521, 13499, 914, 789, 11017, 342, 13369, 10864, 9263, 1362, 1736])).
% 6.08/6.26 tff(13523,plain,
% 6.08/6.26 (mult(a, mult(b, mult(c, a))) = mult(a, mult(mult(c, a), b))),
% 6.08/6.26 inference(transitivity,[status(thm)],[1737, 6925, 1362, 13522, 2096])).
% 6.08/6.26 tff(13524,plain,
% 6.08/6.26 (ld(a, mult(a, mult(b, mult(c, a)))) = ld(a, mult(a, mult(mult(c, a), b)))),
% 6.08/6.26 inference(monotonicity,[status(thm)],[13523])).
% 6.08/6.26 tff(13525,plain,
% 6.08/6.26 (mult(b, mult(c, a)) = mult(mult(c, a), b)),
% 6.08/6.26 inference(transitivity,[status(thm)],[2419, 13524, 209])).
% 6.08/6.26 tff(13526,plain,
% 6.08/6.26 (mult(mult(a, a), mult(b, mult(c, a))) = mult(mult(a, a), mult(mult(c, a), b))),
% 6.08/6.26 inference(monotonicity,[status(thm)],[13525])).
% 6.08/6.26 tff(13527,plain,
% 6.08/6.26 (mult(mult(a, a), mult(mult(c, a), b)) = mult(mult(a, a), mult(b, mult(c, a)))),
% 6.08/6.26 inference(symmetry,[status(thm)],[13526])).
% 6.08/6.26 tff(13528,plain,
% 6.08/6.26 (mult(mult(a, a), mult(mult(c, a), b)) = mult(mult(a, a), mult(c, mult(b, a)))),
% 6.08/6.26 inference(monotonicity,[status(thm)],[342])).
% 6.08/6.26 tff(13529,plain,
% 6.08/6.26 (mult(mult(a, a), mult(c, mult(b, a))) = mult(mult(a, a), mult(mult(c, a), b))),
% 6.08/6.26 inference(symmetry,[status(thm)],[13528])).
% 6.08/6.26 tff(13530,plain,
% 6.08/6.26 (mult(mult(mult(a, a), mult(b, a)), c) = mult(mult(a, a), mult(c, mult(b, a)))),
% 6.08/6.26 inference(unit_resolution,[status(thm)],[11109, 13497])).
% 6.08/6.26 tff(13531,plain,
% 6.08/6.26 (mult(mult(mult(a, a), mult(b, a)), c) = mult(mult(a, a), mult(mult(b, a), c))),
% 6.08/6.26 inference(transitivity,[status(thm)],[13530, 13529, 13527, 13493])).
% 6.08/6.26 tff(13532,plain,
% 6.08/6.26 ($false),
% 6.08/6.26 inference(unit_resolution,[status(thm)],[13494, 13531])).
% 6.08/6.26 tff(13533,plain,((mult(mult(mult(a, a), mult(b, a)), c) = mult(mult(a, a), mult(mult(b, a), c))) | (~(mult(mult(c, a), b) = mult(c, mult(b, a)))) | (~(mult(mult(a, mult(c, a)), b) = mult(a, mult(b, mult(c, a))))) | (~(mult(mult(mult(a, c), a), b) = mult(mult(a, c), mult(b, a)))) | (~(mult(mult(a, mult(a, c)), b) = mult(a, mult(mult(a, c), b)))) | (~(mult(mult(mult(a, a), c), b) = mult(mult(a, a), mult(c, b)))) | (~(mult(mult(mult(a, b), a), mult(a, c)) = mult(mult(a, b), mult(mult(a, c), a)))) | (mult(mult(a, mult(b, mult(c, a))), a) = mult(a, mult(mult(b, mult(c, a)), a))) | (~(mult(mult(mult(a, c), a), mult(a, b)) = mult(mult(a, c), mult(mult(a, b), a)))) | (~(mult(mult(c, a), mult(a, b)) = mult(c, mult(mult(a, b), a))))), inference(lemma,lemma(discharge,[]))).
% 6.08/6.26 tff(13534,plain,
% 6.08/6.26 (mult(mult(mult(a, a), mult(b, a)), c) = mult(mult(a, a), mult(mult(b, a), c))),
% 6.08/6.26 inference(unit_resolution,[status(thm)],[13533, 13369, 1736, 1362, 11028, 13491, 13459, 342, 6854, 9263])).
% 6.08/6.26 tff(13535,plain,
% 6.08/6.26 (mult(a, mult(b, mult(c, a))) = mult(mult(mult(a, b), c), a)),
% 6.08/6.26 inference(transitivity,[status(thm)],[1196, 1424, 10417])).
% 6.08/6.26 tff(13536,plain,
% 6.08/6.26 ($false),
% 6.08/6.26 inference(unit_resolution,[status(thm)],[194, 13535])).
% 6.08/6.26 tff(13537,plain,((~(mult(mult(b, c), a) = mult(b, mult(c, a)))) | (~(mult(mult(a, mult(b, c)), a) = mult(a, mult(mult(b, c), a))))), inference(lemma,lemma(discharge,[]))).
% 6.08/6.26 tff(13538,plain,
% 6.08/6.26 (~(mult(mult(b, c), a) = mult(b, mult(c, a)))),
% 6.08/6.26 inference(unit_resolution,[status(thm)],[13537, 10912])).
% 6.08/6.26 tff(13539,plain,
% 6.08/6.26 ((mult(mult(a, c), mult(b, a)) = mult(a, mult(c, mult(b, a)))) | (mult(mult(a, b), mult(c, a)) = mult(a, mult(mult(c, a), b))) | (~(mult(mult(mult(a, b), a), c) = mult(mult(a, b), mult(c, a))))),
% 6.08/6.26 inference(unit_resolution,[status(thm)],[5261, 4679])).
% 6.08/6.26 tff(13540,plain,
% 6.08/6.26 ((mult(mult(a, c), mult(b, a)) = mult(a, mult(c, mult(b, a)))) | (mult(mult(a, b), mult(c, a)) = mult(a, mult(mult(c, a), b)))),
% 6.08/6.26 inference(unit_resolution,[status(thm)],[13539, 9222])).
% 6.08/6.26 tff(13541,plain,
% 6.08/6.26 (mult(mult(a, b), mult(c, a)) = mult(a, mult(mult(c, a), b))),
% 6.08/6.26 inference(unit_resolution,[status(thm)],[13540, 119])).
% 6.08/6.26 tff(13542,plain,
% 6.08/6.26 (~(mult(mult(mult(mult(mult(a, c), mult(b, a)), mult(a, c)), a), b) = mult(mult(mult(mult(a, c), mult(b, a)), mult(a, c)), mult(b, a)))),
% 6.08/6.26 inference(unit_resolution,[status(thm)],[10972, 10947, 614])).
% 6.08/6.26 tff(13543,plain,
% 6.08/6.26 ((~(mult(mult(mult(mult(mult(a, c), mult(b, a)), mult(a, c)), b), a) = mult(mult(mult(mult(a, c), mult(b, a)), mult(a, c)), mult(a, b)))) | (~(mult(mult(mult(mult(mult(a, c), mult(b, a)), mult(a, c)), a), b) = mult(mult(mult(mult(a, c), mult(b, a)), mult(a, c)), mult(b, a))))),
% 6.08/6.26 inference(unit_resolution,[status(thm)],[10974, 13542])).
% 6.08/6.26 tff(13544,plain,
% 6.08/6.26 (~((~(mult(mult(mult(mult(mult(a, c), mult(b, a)), mult(a, c)), b), a) = mult(mult(mult(mult(a, c), mult(b, a)), mult(a, c)), mult(b, a)))) | (~(mult(mult(mult(mult(mult(a, c), mult(b, a)), mult(a, c)), a), b) = mult(mult(mult(mult(a, c), mult(b, a)), mult(a, c)), mult(a, b)))))),
% 6.08/6.26 inference(unit_resolution,[status(thm)],[6722, 13543])).
% 6.08/6.26 tff(13545,plain,
% 6.08/6.26 (mult(mult(mult(mult(mult(a, c), mult(b, a)), mult(a, c)), b), a) = mult(mult(mult(mult(a, c), mult(b, a)), mult(a, c)), mult(b, a))),
% 6.08/6.26 inference(unit_resolution,[status(thm)],[6724, 13544])).
% 6.08/6.26 tff(13546,plain,
% 6.08/6.26 (~(mult(mult(mult(mult(mult(a, b), c), a), b), a) = mult(mult(mult(mult(a, b), c), a), mult(b, a)))),
% 6.08/6.26 inference(unit_resolution,[status(thm)],[11012, 13545, 614, 168, 10912])).
% 6.08/6.26 tff(13547,plain,
% 6.08/6.26 ((~(mult(mult(mult(mult(mult(a, b), c), a), a), b) = mult(mult(mult(mult(a, b), c), a), mult(a, b)))) | (~(mult(mult(mult(mult(mult(a, b), c), a), b), a) = mult(mult(mult(mult(a, b), c), a), mult(b, a))))),
% 6.08/6.26 inference(unit_resolution,[status(thm)],[11292, 13546])).
% 6.08/6.26 tff(13548,plain,
% 6.08/6.26 (~((~(mult(mult(mult(mult(mult(a, b), c), a), a), b) = mult(mult(mult(mult(a, b), c), a), mult(b, a)))) | (~(mult(mult(mult(mult(mult(a, b), c), a), b), a) = mult(mult(mult(mult(a, b), c), a), mult(a, b)))))),
% 6.08/6.26 inference(unit_resolution,[status(thm)],[11296, 30, 13547])).
% 6.08/6.26 tff(13549,plain,
% 6.08/6.26 (mult(mult(mult(mult(mult(a, b), c), a), b), a) = mult(mult(mult(mult(a, b), c), a), mult(a, b))),
% 6.08/6.26 inference(unit_resolution,[status(thm)],[11298, 13548])).
% 6.08/6.26 tff(13550,plain,
% 6.08/6.26 (mult(mult(mult(mult(mult(a, b), c), a), a), b) = mult(mult(mult(mult(a, b), c), a), mult(b, a))),
% 6.08/6.26 inference(unit_resolution,[status(thm)],[12329, 13548])).
% 6.08/6.26 tff(13551,plain,
% 6.08/6.26 (mult(mult(a, mult(a, c)), a) = mult(a, mult(mult(a, c), a))),
% 6.08/6.26 inference(unit_resolution,[status(thm)],[10473, 11028, 13491])).
% 6.08/6.26 tff(13552,plain,
% 6.08/6.26 (mult(mult(mult(a, a), b), c) = mult(mult(a, a), mult(b, c))),
% 6.08/6.26 inference(unit_resolution,[status(thm)],[10483, 13551, 11028])).
% 6.08/6.26 tff(13553,plain,
% 6.08/6.26 (mult(mult(a, mult(mult(b, c), a)), a) = mult(a, mult(mult(mult(b, c), a), a))),
% 6.08/6.26 inference(unit_resolution,[status(thm)],[10556, 13552, 10911])).
% 6.08/6.26 tff(13554,plain,
% 6.08/6.26 (mult(a, mult(mult(mult(b, c), a), a)) = mult(mult(a, mult(mult(b, c), a)), a)),
% 6.08/6.26 inference(symmetry,[status(thm)],[13553])).
% 6.08/6.26 tff(13555,plain,
% 6.08/6.26 (mult(a, mult(b, mult(a, mult(a, c)))) = mult(a, mult(mult(mult(b, c), a), a))),
% 6.08/6.26 inference(monotonicity,[status(thm)],[13015])).
% 6.08/6.26 tff(13556,plain,
% 6.08/6.26 (mult(mult(a, b), mult(a, mult(a, c))) = mult(a, mult(b, mult(a, mult(a, c))))),
% 6.08/6.26 inference(unit_resolution,[status(thm)],[10709, 13553, 13458, 168, 10912])).
% 6.08/6.26 tff(13557,plain,
% 6.08/6.26 (mult(mult(a, b), mult(a, mult(a, c))) = mult(mult(mult(mult(a, b), c), a), a)),
% 6.08/6.26 inference(transitivity,[status(thm)],[13556, 13555, 13554, 11405])).
% 6.08/6.26 tff(13558,plain,
% 6.08/6.26 (mult(mult(mult(a, b), mult(a, mult(a, c))), b) = mult(mult(mult(mult(mult(a, b), c), a), a), b)),
% 6.08/6.26 inference(monotonicity,[status(thm)],[13557])).
% 6.08/6.26 tff(13559,plain,
% 6.08/6.26 (mult(mult(a, c), mult(mult(a, mult(mult(mult(b, c), a), b)), a)) = mult(mult(a, c), mult(mult(mult(b, a), mult(a, c)), mult(b, a)))),
% 6.08/6.26 inference(transitivity,[status(thm)],[6687, 6793, 13545, 7198])).
% 6.08/6.26 tff(13560,plain,
% 6.08/6.26 (ld(mult(a, c), mult(mult(a, c), mult(mult(a, mult(mult(mult(b, c), a), b)), a))) = ld(mult(a, c), mult(mult(a, c), mult(mult(mult(b, a), mult(a, c)), mult(b, a))))),
% 6.08/6.26 inference(monotonicity,[status(thm)],[13559])).
% 6.08/6.26 tff(13561,plain,
% 6.08/6.26 (ld(mult(a, c), mult(mult(a, c), mult(mult(mult(b, a), mult(a, c)), mult(b, a)))) = ld(mult(a, c), mult(mult(a, c), mult(mult(a, mult(mult(mult(b, c), a), b)), a)))),
% 6.08/6.26 inference(symmetry,[status(thm)],[13560])).
% 6.08/6.26 tff(13562,assumption,(mult(mult(mult(b, a), mult(b, a)), mult(a, c)) = mult(mult(b, a), mult(mult(b, a), mult(a, c)))), introduced(assumption)).
% 6.08/6.26 tff(13563,assumption,(mult(mult(mult(mult(mult(a, b), c), a), a), b) = mult(mult(mult(mult(a, b), c), a), mult(b, a))), introduced(assumption)).
% 6.08/6.26 tff(13564,plain,
% 6.08/6.26 (~(mult(mult(a, mult(b, mult(c, a))), a) = mult(a, mult(a, mult(b, mult(c, a)))))),
% 6.08/6.26 inference(unit_resolution,[status(thm)],[13486, 11067, 13459, 342, 119, 10864, 9263, 1362, 1736])).
% 6.08/6.26 tff(13565,plain,
% 6.08/6.26 ((~(mult(mult(a, a), mult(b, mult(c, a))) = mult(a, mult(mult(b, mult(c, a)), a)))) | (~(mult(mult(a, mult(b, mult(c, a))), a) = mult(a, mult(a, mult(b, mult(c, a))))))),
% 6.08/6.26 inference(unit_resolution,[status(thm)],[13393, 13564])).
% 6.08/6.26 tff(13566,plain,
% 6.08/6.26 (((~![X0: $i, X1: $i, X2: $i] : ((~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X2, X1)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X1, X2)))))) | (~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X1, X2)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X2, X1)))))))) | ((~((~(mult(mult(a, a), mult(b, mult(c, a))) = mult(a, mult(mult(b, mult(c, a)), a)))) | (~(mult(mult(a, mult(b, mult(c, a))), a) = mult(a, mult(a, mult(b, mult(c, a)))))))) | (~((~(mult(mult(a, a), mult(b, mult(c, a))) = mult(a, mult(a, mult(b, mult(c, a)))))) | (~(mult(mult(a, mult(b, mult(c, a))), a) = mult(a, mult(mult(b, mult(c, a)), a)))))))) <=> ((~![X0: $i, X1: $i, X2: $i] : ((~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X2, X1)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X1, X2)))))) | (~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X1, X2)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X2, X1)))))))) | (~((~(mult(mult(a, a), mult(b, mult(c, a))) = mult(a, mult(mult(b, mult(c, a)), a)))) | (~(mult(mult(a, mult(b, mult(c, a))), a) = mult(a, mult(a, mult(b, mult(c, a)))))))) | (~((~(mult(mult(a, a), mult(b, mult(c, a))) = mult(a, mult(a, mult(b, mult(c, a)))))) | (~(mult(mult(a, mult(b, mult(c, a))), a) = mult(a, mult(mult(b, mult(c, a)), a)))))))),
% 6.08/6.26 inference(rewrite,[status(thm)],[])).
% 6.08/6.26 tff(13567,plain,
% 6.08/6.26 ((~![X0: $i, X1: $i, X2: $i] : ((~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X2, X1)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X1, X2)))))) | (~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X1, X2)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X2, X1)))))))) | ((~((~(mult(mult(a, a), mult(b, mult(c, a))) = mult(a, mult(mult(b, mult(c, a)), a)))) | (~(mult(mult(a, mult(b, mult(c, a))), a) = mult(a, mult(a, mult(b, mult(c, a)))))))) | (~((~(mult(mult(a, a), mult(b, mult(c, a))) = mult(a, mult(a, mult(b, mult(c, a)))))) | (~(mult(mult(a, mult(b, mult(c, a))), a) = mult(a, mult(mult(b, mult(c, a)), a)))))))),
% 6.08/6.26 inference(quant_inst,[status(thm)],[])).
% 6.08/6.26 tff(13568,plain,
% 6.08/6.26 ((~![X0: $i, X1: $i, X2: $i] : ((~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X2, X1)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X1, X2)))))) | (~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X1, X2)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X2, X1)))))))) | (~((~(mult(mult(a, a), mult(b, mult(c, a))) = mult(a, mult(mult(b, mult(c, a)), a)))) | (~(mult(mult(a, mult(b, mult(c, a))), a) = mult(a, mult(a, mult(b, mult(c, a)))))))) | (~((~(mult(mult(a, a), mult(b, mult(c, a))) = mult(a, mult(a, mult(b, mult(c, a)))))) | (~(mult(mult(a, mult(b, mult(c, a))), a) = mult(a, mult(mult(b, mult(c, a)), a))))))),
% 6.08/6.26 inference(modus_ponens,[status(thm)],[13567, 13566])).
% 6.08/6.26 tff(13569,plain,
% 6.08/6.26 ((~((~(mult(mult(a, a), mult(b, mult(c, a))) = mult(a, mult(mult(b, mult(c, a)), a)))) | (~(mult(mult(a, mult(b, mult(c, a))), a) = mult(a, mult(a, mult(b, mult(c, a)))))))) | (~((~(mult(mult(a, a), mult(b, mult(c, a))) = mult(a, mult(a, mult(b, mult(c, a)))))) | (~(mult(mult(a, mult(b, mult(c, a))), a) = mult(a, mult(mult(b, mult(c, a)), a))))))),
% 6.08/6.26 inference(unit_resolution,[status(thm)],[13568, 30])).
% 6.08/6.26 tff(13570,plain,
% 6.08/6.26 (~((~(mult(mult(a, a), mult(b, mult(c, a))) = mult(a, mult(a, mult(b, mult(c, a)))))) | (~(mult(mult(a, mult(b, mult(c, a))), a) = mult(a, mult(mult(b, mult(c, a)), a)))))),
% 6.08/6.26 inference(unit_resolution,[status(thm)],[13569, 13565])).
% 6.08/6.26 tff(13571,plain,
% 6.08/6.26 ((~![B: $i, A: $i] : (rd(mult(A, B), B) = A)) | (rd(mult(mult(mult(c, a), b), mult(mult(b, a), a)), mult(mult(b, a), a)) = mult(mult(c, a), b))),
% 6.08/6.26 inference(quant_inst,[status(thm)],[])).
% 6.08/6.26 tff(13572,plain,
% 6.08/6.26 (rd(mult(mult(mult(c, a), b), mult(mult(b, a), a)), mult(mult(b, a), a)) = mult(mult(c, a), b)),
% 6.08/6.26 inference(unit_resolution,[status(thm)],[13571, 72])).
% 6.08/6.26 tff(13573,plain,
% 6.08/6.26 (mult(mult(mult(c, a), b), mult(b, mult(a, a))) = mult(mult(mult(c, a), b), mult(mult(b, a), a))),
% 6.08/6.26 inference(symmetry,[status(thm)],[9942])).
% 6.08/6.26 tff(13574,assumption,(~((~(mult(mult(a, a), mult(b, mult(c, a))) = mult(a, mult(a, mult(b, mult(c, a)))))) | (~(mult(mult(a, mult(b, mult(c, a))), a) = mult(a, mult(mult(b, mult(c, a)), a)))))), introduced(assumption)).
% 6.08/6.26 tff(13575,plain,
% 6.08/6.26 (((~(mult(mult(a, a), mult(b, mult(c, a))) = mult(a, mult(a, mult(b, mult(c, a)))))) | (~(mult(mult(a, mult(b, mult(c, a))), a) = mult(a, mult(mult(b, mult(c, a)), a))))) | (mult(mult(a, mult(b, mult(c, a))), a) = mult(a, mult(mult(b, mult(c, a)), a)))),
% 6.08/6.26 inference(tautology,[status(thm)],[])).
% 6.08/6.26 tff(13576,plain,
% 6.08/6.26 (mult(mult(a, mult(b, mult(c, a))), a) = mult(a, mult(mult(b, mult(c, a)), a))),
% 6.08/6.26 inference(unit_resolution,[status(thm)],[13575, 13574])).
% 6.08/6.26 tff(13577,assumption,(mult(mult(a, mult(b, mult(c, a))), a) = mult(a, mult(mult(b, mult(c, a)), a))), introduced(assumption)).
% 6.08/6.26 tff(13578,plain,
% 6.08/6.26 (mult(a, mult(c, mult(mult(a, b), a))) = mult(a, mult(mult(b, mult(c, a)), a))),
% 6.08/6.27 inference(transitivity,[status(thm)],[11035, 1532, 6997, 13403, 13577])).
% 6.08/6.27 tff(13579,plain,
% 6.08/6.27 (ld(a, mult(a, mult(c, mult(mult(a, b), a)))) = ld(a, mult(a, mult(mult(b, mult(c, a)), a)))),
% 6.08/6.27 inference(monotonicity,[status(thm)],[13578])).
% 6.08/6.27 tff(13580,plain,
% 6.08/6.27 (ld(a, mult(a, mult(mult(b, mult(c, a)), a))) = ld(a, mult(a, mult(c, mult(mult(a, b), a))))),
% 6.08/6.27 inference(symmetry,[status(thm)],[13579])).
% 6.08/6.27 tff(13581,plain,
% 6.08/6.27 ((~![B: $i, A: $i] : (ld(A, mult(A, B)) = B)) | (ld(a, mult(a, mult(mult(b, mult(c, a)), a))) = mult(mult(b, mult(c, a)), a))),
% 6.08/6.27 inference(quant_inst,[status(thm)],[])).
% 6.08/6.27 tff(13582,plain,
% 6.08/6.27 (ld(a, mult(a, mult(mult(b, mult(c, a)), a))) = mult(mult(b, mult(c, a)), a)),
% 6.08/6.27 inference(unit_resolution,[status(thm)],[13581, 9])).
% 6.08/6.27 tff(13583,plain,
% 6.08/6.27 (mult(mult(b, mult(c, a)), a) = ld(a, mult(a, mult(mult(b, mult(c, a)), a)))),
% 6.08/6.27 inference(symmetry,[status(thm)],[13582])).
% 6.08/6.27 tff(13584,plain,
% 6.08/6.27 (mult(mult(b, mult(c, a)), a) = mult(mult(mult(c, a), b), a)),
% 6.08/6.27 inference(transitivity,[status(thm)],[13583, 13580, 12147, 2808])).
% 6.08/6.27 tff(13585,plain,
% 6.08/6.27 (rd(mult(mult(b, mult(c, a)), a), a) = rd(mult(mult(mult(c, a), b), a), a)),
% 6.08/6.27 inference(monotonicity,[status(thm)],[13584])).
% 6.08/6.27 tff(13586,plain,
% 6.08/6.27 (rd(mult(mult(mult(c, a), b), a), a) = rd(mult(mult(b, mult(c, a)), a), a)),
% 6.08/6.27 inference(symmetry,[status(thm)],[13585])).
% 6.08/6.27 tff(13587,plain,
% 6.08/6.27 (mult(mult(c, a), b) = mult(b, mult(c, a))),
% 6.08/6.27 inference(transitivity,[status(thm)],[5995, 13586, 848])).
% 6.08/6.27 tff(13588,plain,
% 6.08/6.27 (mult(a, mult(mult(c, a), b)) = mult(a, mult(b, mult(c, a)))),
% 6.08/6.27 inference(monotonicity,[status(thm)],[13587])).
% 6.08/6.27 tff(13589,plain,
% 6.08/6.27 (mult(mult(a, mult(b, a)), c) = mult(a, mult(mult(b, a), c))),
% 6.08/6.27 inference(transitivity,[status(thm)],[8336, 2431, 439, 13588, 5246])).
% 6.08/6.27 tff(13590,plain,
% 6.08/6.27 ($false),
% 6.08/6.27 inference(unit_resolution,[status(thm)],[1394, 13589])).
% 6.08/6.27 tff(13591,plain,((~(mult(mult(a, mult(b, mult(c, a))), a) = mult(a, mult(mult(b, mult(c, a)), a)))) | (mult(mult(a, mult(b, a)), c) = mult(a, mult(mult(b, a), c))) | (~(mult(mult(mult(a, b), a), c) = mult(mult(a, b), mult(c, a)))) | (~(mult(mult(a, b), mult(c, a)) = mult(a, mult(mult(c, a), b)))) | (~(mult(mult(a, c), mult(mult(a, b), a)) = mult(a, mult(c, mult(mult(a, b), a))))) | (~(mult(mult(mult(a, c), a), b) = mult(mult(a, c), mult(b, a)))) | (~(mult(mult(a, mult(c, a)), b) = mult(a, mult(b, mult(c, a)))))), inference(lemma,lemma(discharge,[]))).
% 6.08/6.27 tff(13592,plain,
% 6.08/6.27 ((~(mult(mult(a, mult(b, mult(c, a))), a) = mult(a, mult(mult(b, mult(c, a)), a)))) | (mult(mult(a, mult(b, a)), c) = mult(a, mult(mult(b, a), c))) | (~(mult(mult(a, b), mult(c, a)) = mult(a, mult(mult(c, a), b)))) | (~(mult(mult(a, c), mult(mult(a, b), a)) = mult(a, mult(c, mult(mult(a, b), a))))) | (~(mult(mult(mult(a, c), a), b) = mult(mult(a, c), mult(b, a)))) | (~(mult(mult(a, mult(c, a)), b) = mult(a, mult(b, mult(c, a)))))),
% 6.08/6.27 inference(unit_resolution,[status(thm)],[13591, 9222])).
% 6.08/6.27 tff(13593,plain,
% 6.08/6.27 (~(mult(mult(a, c), mult(mult(a, b), a)) = mult(a, mult(c, mult(mult(a, b), a))))),
% 6.08/6.27 inference(unit_resolution,[status(thm)],[13592, 13576, 1362, 13541, 13464, 1736])).
% 6.08/6.27 tff(13594,plain,
% 6.08/6.27 (~((~(mult(mult(a, c), mult(mult(a, b), a)) = mult(a, mult(mult(mult(a, b), a), c)))) | (~(mult(mult(a, mult(mult(a, b), a)), c) = mult(a, mult(c, mult(mult(a, b), a))))))),
% 6.08/6.27 inference(unit_resolution,[status(thm)],[13294, 13593])).
% 6.08/6.27 tff(13595,plain,
% 6.08/6.27 (mult(mult(a, mult(mult(a, b), a)), c) = mult(a, mult(c, mult(mult(a, b), a)))),
% 6.08/6.27 inference(unit_resolution,[status(thm)],[13296, 13594])).
% 6.08/6.27 tff(13596,plain,
% 6.08/6.27 (mult(mult(mult(a, a), mult(b, a)), c) = mult(mult(a, mult(mult(a, b), a)), c)),
% 6.08/6.27 inference(symmetry,[status(thm)],[11958])).
% 6.08/6.27 tff(13597,plain,
% 6.08/6.27 ((mult(a, mult(mult(b, mult(c, a)), a)) = mult(mult(a, a), mult(b, mult(c, a)))) <=> (mult(mult(a, a), mult(b, mult(c, a))) = mult(a, mult(mult(b, mult(c, a)), a)))),
% 6.08/6.27 inference(commutativity,[status(thm)],[])).
% 6.08/6.27 tff(13598,plain,
% 6.08/6.27 (mult(a, mult(mult(b, mult(c, a)), a)) = mult(a, mult(mult(b, a), mult(a, c)))),
% 6.08/6.27 inference(monotonicity,[status(thm)],[3533])).
% 6.08/6.27 tff(13599,plain,
% 6.08/6.27 (mult(a, mult(mult(b, a), mult(a, c))) = mult(a, mult(mult(b, mult(c, a)), a))),
% 6.08/6.27 inference(symmetry,[status(thm)],[13598])).
% 6.08/6.27 tff(13600,plain,
% 6.08/6.27 (mult(mult(mult(a, a), c), b) = mult(mult(a, mult(a, c)), b)),
% 6.08/6.27 inference(transitivity,[status(thm)],[13491, 8185, 11078, 12295])).
% 6.08/6.27 tff(13601,plain,
% 6.08/6.27 (rd(mult(mult(mult(a, a), c), b), b) = rd(mult(mult(a, mult(a, c)), b), b)),
% 6.08/6.27 inference(monotonicity,[status(thm)],[13600])).
% 6.08/6.27 tff(13602,plain,
% 6.08/6.27 (mult(mult(a, a), c) = mult(a, mult(a, c))),
% 6.08/6.27 inference(transitivity,[status(thm)],[5380, 13601, 908])).
% 6.08/6.27 tff(13603,plain,
% 6.08/6.27 (mult(mult(mult(a, a), c), mult(b, a)) = mult(mult(a, mult(a, c)), mult(b, a))),
% 6.08/6.27 inference(monotonicity,[status(thm)],[13602])).
% 6.08/6.27 tff(13604,plain,
% 6.08/6.27 (mult(mult(mult(a, a), c), mult(b, a)) = mult(a, mult(mult(b, mult(c, a)), a))),
% 6.08/6.27 inference(transitivity,[status(thm)],[13603, 11076, 13599])).
% 6.08/6.27 tff(13605,plain,
% 6.08/6.27 ((mult(mult(mult(a, a), c), mult(b, a)) = mult(mult(a, a), mult(mult(b, a), c))) <=> (mult(a, mult(mult(b, mult(c, a)), a)) = mult(mult(a, a), mult(b, mult(c, a))))),
% 6.08/6.27 inference(monotonicity,[status(thm)],[13604, 13492])).
% 6.08/6.27 tff(13606,plain,
% 6.08/6.27 ((mult(mult(mult(a, a), c), mult(b, a)) = mult(mult(a, a), mult(mult(b, a), c))) <=> (mult(mult(a, a), mult(b, mult(c, a))) = mult(a, mult(mult(b, mult(c, a)), a)))),
% 6.08/6.27 inference(transitivity,[status(thm)],[13605, 13597])).
% 6.08/6.27 tff(13607,plain,
% 6.08/6.27 ((mult(mult(a, a), mult(b, mult(c, a))) = mult(a, mult(mult(b, mult(c, a)), a))) <=> (mult(mult(mult(a, a), c), mult(b, a)) = mult(mult(a, a), mult(mult(b, a), c)))),
% 6.08/6.27 inference(symmetry,[status(thm)],[13606])).
% 6.08/6.27 tff(13608,plain,
% 6.08/6.27 (((~(mult(mult(a, a), mult(b, mult(c, a))) = mult(a, mult(a, mult(b, mult(c, a)))))) | (~(mult(mult(a, mult(b, mult(c, a))), a) = mult(a, mult(mult(b, mult(c, a)), a))))) | (mult(mult(a, a), mult(b, mult(c, a))) = mult(a, mult(a, mult(b, mult(c, a)))))),
% 6.08/6.27 inference(tautology,[status(thm)],[])).
% 6.08/6.27 tff(13609,plain,
% 6.08/6.27 (mult(mult(a, a), mult(b, mult(c, a))) = mult(a, mult(a, mult(b, mult(c, a))))),
% 6.08/6.27 inference(unit_resolution,[status(thm)],[13608, 13574])).
% 6.08/6.27 tff(13610,plain,
% 6.08/6.27 (mult(mult(a, a), mult(b, mult(c, a))) = mult(mult(a, mult(b, a)), mult(a, c))),
% 6.08/6.27 inference(transitivity,[status(thm)],[13609, 13475, 11068])).
% 6.08/6.27 tff(13611,plain,
% 6.08/6.27 ((mult(mult(a, a), mult(b, mult(c, a))) = mult(a, mult(mult(b, mult(c, a)), a))) <=> (mult(mult(a, mult(b, a)), mult(a, c)) = mult(a, mult(mult(b, a), mult(a, c))))),
% 6.08/6.27 inference(monotonicity,[status(thm)],[13610, 13598])).
% 6.08/6.27 tff(13612,plain,
% 6.08/6.27 ((mult(mult(a, mult(b, a)), mult(a, c)) = mult(a, mult(mult(b, a), mult(a, c)))) <=> (mult(mult(a, a), mult(b, mult(c, a))) = mult(a, mult(mult(b, mult(c, a)), a)))),
% 6.08/6.27 inference(symmetry,[status(thm)],[13611])).
% 6.08/6.27 tff(13613,plain,
% 6.08/6.27 ((mult(mult(a, mult(b, a)), mult(a, c)) = mult(a, mult(mult(b, a), mult(a, c)))) <=> (mult(mult(mult(a, a), c), mult(b, a)) = mult(mult(a, a), mult(mult(b, a), c)))),
% 6.08/6.27 inference(transitivity,[status(thm)],[13612, 13607])).
% 6.08/6.27 tff(13614,plain,
% 6.08/6.27 ((~(mult(mult(a, mult(b, a)), mult(a, c)) = mult(a, mult(mult(b, a), mult(a, c))))) <=> (~(mult(mult(mult(a, a), c), mult(b, a)) = mult(mult(a, a), mult(mult(b, a), c))))),
% 6.08/6.27 inference(monotonicity,[status(thm)],[13613])).
% 6.08/6.27 tff(13615,plain,
% 6.08/6.27 (~(mult(mult(mult(a, a), c), mult(b, a)) = mult(mult(a, a), mult(mult(b, a), c)))),
% 6.08/6.27 inference(modus_ponens,[status(thm)],[11058, 13614])).
% 6.08/6.27 tff(13616,plain,
% 6.08/6.27 ((~(mult(mult(mult(a, a), c), mult(b, a)) = mult(mult(a, a), mult(mult(b, a), c)))) | (~(mult(mult(mult(a, a), mult(b, a)), c) = mult(mult(a, a), mult(c, mult(b, a)))))),
% 6.08/6.27 inference(unit_resolution,[status(thm)],[13498, 13615])).
% 6.08/6.27 tff(13617,plain,
% 6.08/6.27 (~((~(mult(mult(mult(a, a), c), mult(b, a)) = mult(mult(a, a), mult(c, mult(b, a))))) | (~(mult(mult(mult(a, a), mult(b, a)), c) = mult(mult(a, a), mult(mult(b, a), c)))))),
% 6.08/6.27 inference(unit_resolution,[status(thm)],[11117, 13616])).
% 6.08/6.27 tff(13618,plain,
% 6.08/6.27 (mult(mult(mult(a, a), mult(b, a)), c) = mult(mult(a, a), mult(mult(b, a), c))),
% 6.08/6.27 inference(unit_resolution,[status(thm)],[13495, 13617])).
% 6.08/6.27 tff(13619,plain,
% 6.08/6.27 (mult(mult(a, a), mult(mult(b, a), c)) = mult(mult(mult(a, a), mult(b, a)), c)),
% 6.08/6.27 inference(symmetry,[status(thm)],[13618])).
% 6.08/6.27 tff(13620,plain,
% 6.08/6.27 (mult(a, mult(a, mult(b, mult(c, a)))) = mult(mult(a, a), mult(b, mult(c, a)))),
% 6.08/6.27 inference(symmetry,[status(thm)],[13609])).
% 6.08/6.27 tff(13621,plain,
% 6.08/6.27 (mult(a, mult(mult(a, c), mult(b, a))) = mult(a, mult(c, mult(mult(a, b), a)))),
% 6.08/6.27 inference(transitivity,[status(thm)],[13476, 13620, 13493, 13619, 13596, 13595])).
% 6.08/6.27 tff(13622,plain,
% 6.08/6.27 (ld(a, mult(a, mult(mult(a, c), mult(b, a)))) = ld(a, mult(a, mult(c, mult(mult(a, b), a))))),
% 6.08/6.27 inference(monotonicity,[status(thm)],[13621])).
% 6.08/6.27 tff(13623,plain,
% 6.08/6.27 (ld(a, mult(a, mult(c, mult(mult(a, b), a)))) = ld(a, mult(a, mult(mult(a, c), mult(b, a))))),
% 6.08/6.27 inference(symmetry,[status(thm)],[13622])).
% 6.08/6.27 tff(13624,plain,
% 6.08/6.27 (mult(c, mult(mult(a, b), a)) = ld(a, mult(a, mult(c, mult(mult(a, b), a))))),
% 6.08/6.27 inference(symmetry,[status(thm)],[12147])).
% 6.08/6.27 tff(13625,plain,
% 6.08/6.27 (mult(c, mult(mult(a, b), a)) = mult(mult(a, c), mult(b, a))),
% 6.08/6.27 inference(transitivity,[status(thm)],[13624, 13623, 10815])).
% 6.08/6.27 tff(13626,plain,
% 6.08/6.27 (mult(mult(c, mult(mult(a, b), a)), a) = mult(mult(mult(a, c), mult(b, a)), a)),
% 6.08/6.27 inference(monotonicity,[status(thm)],[13625])).
% 6.08/6.27 tff(13627,plain,
% 6.08/6.27 (mult(mult(mult(c, a), b), mult(a, a)) = mult(mult(mult(a, c), mult(b, a)), a)),
% 6.08/6.27 inference(transitivity,[status(thm)],[4455, 4441, 13626])).
% 6.08/6.27 tff(13628,plain,
% 6.08/6.27 (mult(mult(mult(mult(c, a), b), mult(a, a)), b) = mult(mult(mult(mult(a, c), mult(b, a)), a), b)),
% 6.08/6.27 inference(monotonicity,[status(thm)],[13627])).
% 6.08/6.27 tff(13629,plain,
% 6.08/6.27 (mult(mult(mult(mult(a, c), mult(b, a)), a), b) = mult(mult(mult(mult(c, a), b), mult(a, a)), b)),
% 6.08/6.27 inference(symmetry,[status(thm)],[13628])).
% 6.08/6.27 tff(13630,plain,
% 6.08/6.27 (mult(mult(mult(a, c), mult(b, a)), a) = mult(a, mult(mult(b, a), mult(a, c)))),
% 6.08/6.27 inference(transitivity,[status(thm)],[13472, 13576, 13598])).
% 6.08/6.27 tff(13631,plain,
% 6.08/6.27 (mult(mult(mult(mult(a, c), mult(b, a)), a), b) = mult(mult(a, mult(mult(b, a), mult(a, c))), b)),
% 6.08/6.27 inference(monotonicity,[status(thm)],[13630])).
% 6.08/6.27 tff(13632,plain,
% 6.08/6.27 (mult(mult(a, mult(mult(b, a), mult(a, c))), b) = mult(mult(mult(mult(a, c), mult(b, a)), a), b)),
% 6.08/6.27 inference(symmetry,[status(thm)],[13631])).
% 6.08/6.27 tff(13633,plain,
% 6.08/6.27 (mult(mult(a, c), mult(mult(a, b), a)) = mult(a, mult(mult(mult(a, b), a), c))),
% 6.08/6.27 inference(unit_resolution,[status(thm)],[13412, 13594])).
% 6.08/6.27 tff(13634,plain,
% 6.08/6.27 (mult(a, mult(mult(mult(a, b), a), c)) = mult(mult(a, c), mult(mult(a, b), a))),
% 6.08/6.27 inference(symmetry,[status(thm)],[13633])).
% 6.08/6.27 tff(13635,plain,
% 6.08/6.27 (mult(a, mult(mult(mult(a, b), a), c)) = mult(a, mult(mult(b, a), mult(a, c)))),
% 6.08/6.27 inference(transitivity,[status(thm)],[13634, 10827, 11500, 13472, 13576, 13598])).
% 6.08/6.27 tff(13636,plain,
% 6.08/6.27 (mult(b, mult(a, mult(mult(mult(a, b), a), c))) = mult(b, mult(a, mult(mult(b, a), mult(a, c))))),
% 6.08/6.27 inference(monotonicity,[status(thm)],[13635])).
% 6.08/6.27 tff(13637,plain,
% 6.08/6.27 (mult(b, mult(mult(a, c), mult(mult(a, b), a))) = mult(b, mult(a, mult(mult(mult(a, b), a), c)))),
% 6.08/6.27 inference(monotonicity,[status(thm)],[13633])).
% 6.08/6.27 tff(13638,plain,
% 6.08/6.27 (mult(b, mult(mult(a, c), mult(mult(a, b), a))) = mult(b, mult(a, mult(mult(b, a), mult(a, c))))),
% 6.08/6.27 inference(transitivity,[status(thm)],[13637, 13636])).
% 6.08/6.27 tff(13639,plain,
% 6.08/6.27 (mult(mult(b, mult(mult(a, b), a)), mult(a, c)) = mult(mult(b, a), mult(mult(b, a), mult(a, c)))),
% 6.08/6.27 inference(transitivity,[status(thm)],[12042, 13562])).
% 6.08/6.27 tff(13640,plain,
% 6.08/6.27 ((mult(mult(b, mult(mult(a, b), a)), mult(a, c)) = mult(b, mult(mult(a, c), mult(mult(a, b), a)))) <=> (mult(mult(b, a), mult(mult(b, a), mult(a, c))) = mult(b, mult(a, mult(mult(b, a), mult(a, c)))))),
% 6.08/6.27 inference(monotonicity,[status(thm)],[13639, 13638])).
% 6.08/6.27 tff(13641,plain,
% 6.08/6.27 ((mult(mult(b, a), mult(mult(b, a), mult(a, c))) = mult(b, mult(a, mult(mult(b, a), mult(a, c))))) <=> (mult(mult(b, mult(mult(a, b), a)), mult(a, c)) = mult(b, mult(mult(a, c), mult(mult(a, b), a))))),
% 6.08/6.27 inference(symmetry,[status(thm)],[13640])).
% 6.08/6.27 tff(13642,plain,
% 6.08/6.27 (mult(b, mult(a, mult(mult(b, a), mult(a, c)))) = mult(b, mult(a, mult(mult(mult(a, b), a), c)))),
% 6.08/6.27 inference(symmetry,[status(thm)],[13636])).
% 6.08/6.27 tff(13643,plain,
% 6.08/6.27 (ld(a, mult(a, mult(mult(mult(a, b), a), c))) = ld(a, mult(a, mult(mult(b, a), mult(a, c))))),
% 6.08/6.27 inference(monotonicity,[status(thm)],[13635])).
% 6.08/6.27 tff(13644,plain,
% 6.08/6.27 (ld(a, mult(a, mult(mult(b, a), mult(a, c)))) = ld(a, mult(a, mult(mult(mult(a, b), a), c)))),
% 6.08/6.27 inference(symmetry,[status(thm)],[13643])).
% 6.08/6.27 tff(13645,plain,
% 6.08/6.27 (mult(mult(b, a), mult(a, c)) = mult(mult(mult(a, b), a), c)),
% 6.08/6.27 inference(transitivity,[status(thm)],[12189, 13644, 11987])).
% 6.08/6.27 tff(13646,plain,
% 6.08/6.27 (mult(mult(b, a), mult(mult(b, a), mult(a, c))) = mult(mult(b, a), mult(mult(mult(a, b), a), c))),
% 6.08/6.27 inference(monotonicity,[status(thm)],[13645])).
% 6.08/6.27 tff(13647,plain,
% 6.08/6.27 ((mult(mult(b, a), mult(mult(b, a), mult(a, c))) = mult(b, mult(a, mult(mult(b, a), mult(a, c))))) <=> (mult(mult(b, a), mult(mult(mult(a, b), a), c)) = mult(b, mult(a, mult(mult(mult(a, b), a), c))))),
% 6.08/6.27 inference(monotonicity,[status(thm)],[13646, 13642])).
% 6.08/6.27 tff(13648,plain,
% 6.08/6.27 ((mult(mult(b, a), mult(mult(mult(a, b), a), c)) = mult(b, mult(a, mult(mult(mult(a, b), a), c)))) <=> (mult(mult(b, a), mult(mult(b, a), mult(a, c))) = mult(b, mult(a, mult(mult(b, a), mult(a, c)))))),
% 6.08/6.27 inference(symmetry,[status(thm)],[13647])).
% 6.08/6.27 tff(13649,plain,
% 6.08/6.27 (mult(mult(a, mult(mult(a, b), a)), c) = mult(mult(mult(mult(a, a), b), a), c)),
% 6.08/6.27 inference(monotonicity,[status(thm)],[7688])).
% 6.08/6.27 tff(13650,plain,
% 6.08/6.27 (mult(a, mult(c, mult(mult(a, b), a))) = mult(mult(a, mult(mult(a, b), a)), c)),
% 6.08/6.27 inference(symmetry,[status(thm)],[13297])).
% 6.08/6.27 tff(13651,plain,
% 6.08/6.27 (mult(a, mult(c, mult(mult(a, b), a))) = mult(mult(a, mult(a, b)), mult(c, a))),
% 6.08/6.27 inference(transitivity,[status(thm)],[13650, 13649, 12437, 10893])).
% 6.08/6.27 tff(13652,plain,
% 6.08/6.27 (mult(mult(a, c), mult(mult(a, b), a)) = mult(a, mult(mult(mult(a, b), a), c))),
% 6.08/6.27 inference(unit_resolution,[status(thm)],[13412, 13295])).
% 6.08/6.27 tff(13653,plain,
% 6.08/6.27 (mult(mult(a, c), mult(mult(a, b), a)) = mult(a, mult(mult(a, b), mult(c, a)))),
% 6.08/6.27 inference(transitivity,[status(thm)],[13652, 10895])).
% 6.08/6.27 tff(13654,plain,
% 6.08/6.27 ((mult(mult(a, c), mult(mult(a, b), a)) = mult(a, mult(c, mult(mult(a, b), a)))) <=> (mult(a, mult(mult(a, b), mult(c, a))) = mult(mult(a, mult(a, b)), mult(c, a)))),
% 6.08/6.27 inference(monotonicity,[status(thm)],[13653, 13651])).
% 6.08/6.27 tff(13655,plain,
% 6.08/6.27 ((mult(mult(a, c), mult(mult(a, b), a)) = mult(a, mult(c, mult(mult(a, b), a)))) <=> (mult(mult(a, mult(a, b)), mult(c, a)) = mult(a, mult(mult(a, b), mult(c, a))))),
% 6.08/6.27 inference(transitivity,[status(thm)],[13654, 10891])).
% 6.08/6.27 tff(13656,plain,
% 6.08/6.27 ((mult(mult(a, mult(a, b)), mult(c, a)) = mult(a, mult(mult(a, b), mult(c, a)))) <=> (mult(mult(a, c), mult(mult(a, b), a)) = mult(a, mult(c, mult(mult(a, b), a))))),
% 6.08/6.27 inference(symmetry,[status(thm)],[13655])).
% 6.08/6.27 tff(13657,plain,
% 6.08/6.27 (mult(mult(a, c), mult(mult(a, b), a)) = mult(a, mult(c, mult(mult(a, b), a)))),
% 6.08/6.27 inference(modus_ponens,[status(thm)],[10903, 13656])).
% 6.08/6.27 tff(13658,plain,
% 6.08/6.27 ($false),
% 6.08/6.27 inference(unit_resolution,[status(thm)],[10833, 13657])).
% 6.08/6.27 tff(13659,plain,((~(mult(mult(mult(mult(a, a), b), a), c) = mult(mult(mult(a, a), b), mult(c, a)))) | (mult(mult(a, c), mult(mult(a, b), a)) = mult(a, mult(c, mult(mult(a, b), a)))) | (~(mult(mult(a, mult(a, b)), mult(c, a)) = mult(a, mult(mult(a, b), mult(c, a))))) | (~(mult(mult(mult(a, b), a), c) = mult(mult(a, b), mult(c, a))))), inference(lemma,lemma(discharge,[]))).
% 6.08/6.27 tff(13660,plain,
% 6.08/6.27 ((~(mult(mult(mult(mult(a, a), b), a), c) = mult(mult(mult(a, a), b), mult(c, a)))) | (mult(mult(a, c), mult(mult(a, b), a)) = mult(a, mult(c, mult(mult(a, b), a)))) | (~(mult(mult(a, mult(a, b)), mult(c, a)) = mult(a, mult(mult(a, b), mult(c, a)))))),
% 6.08/6.27 inference(unit_resolution,[status(thm)],[13659, 9222])).
% 6.08/6.27 tff(13661,plain,
% 6.08/6.27 (~(mult(mult(a, mult(a, b)), mult(c, a)) = mult(a, mult(mult(a, b), mult(c, a))))),
% 6.08/6.27 inference(unit_resolution,[status(thm)],[13660, 13593, 12437])).
% 6.08/6.27 tff(13662,plain,
% 6.08/6.27 (mult(mult(a, mult(a, b)), mult(c, a)) = mult(a, mult(mult(c, a), mult(a, b)))),
% 6.08/6.28 inference(unit_resolution,[status(thm)],[13333, 13661])).
% 6.08/6.28 tff(13663,plain,
% 6.08/6.28 (mult(a, mult(mult(mult(a, b), a), c)) = mult(a, mult(mult(a, b), mult(c, a)))),
% 6.08/6.28 inference(monotonicity,[status(thm)],[2431])).
% 6.08/6.28 tff(13664,plain,
% 6.08/6.28 (mult(mult(mult(a, c), a), mult(a, b)) = mult(mult(a, mult(c, a)), mult(a, b))),
% 6.08/6.28 inference(symmetry,[status(thm)],[13428])).
% 6.08/6.28 tff(13665,plain,
% 6.08/6.28 (mult(mult(a, c), mult(mult(a, b), a)) = mult(mult(a, mult(c, a)), mult(a, b))),
% 6.08/6.28 inference(transitivity,[status(thm)],[11171, 13664])).
% 6.08/6.28 tff(13666,plain,
% 6.08/6.28 ((mult(mult(a, c), mult(mult(a, b), a)) = mult(a, mult(mult(mult(a, b), a), c))) <=> (mult(mult(a, mult(c, a)), mult(a, b)) = mult(a, mult(mult(a, b), mult(c, a))))),
% 6.08/6.28 inference(monotonicity,[status(thm)],[13665, 13663])).
% 6.08/6.28 tff(13667,plain,
% 6.08/6.28 ((mult(mult(a, mult(c, a)), mult(a, b)) = mult(a, mult(mult(a, b), mult(c, a)))) <=> (mult(mult(a, c), mult(mult(a, b), a)) = mult(a, mult(mult(mult(a, b), a), c)))),
% 6.08/6.28 inference(symmetry,[status(thm)],[13666])).
% 6.08/6.28 tff(13668,plain,
% 6.08/6.28 ((~(mult(mult(a, mult(c, a)), mult(a, b)) = mult(a, mult(mult(a, b), mult(c, a))))) <=> (~(mult(mult(a, c), mult(mult(a, b), a)) = mult(a, mult(mult(mult(a, b), a), c))))),
% 6.08/6.28 inference(monotonicity,[status(thm)],[13667])).
% 6.08/6.28 tff(13669,assumption,(~(mult(mult(a, mult(c, a)), mult(a, b)) = mult(a, mult(mult(a, b), mult(c, a))))), introduced(assumption)).
% 6.08/6.28 tff(13670,plain,
% 6.08/6.28 (~(mult(mult(a, c), mult(mult(a, b), a)) = mult(a, mult(mult(mult(a, b), a), c)))),
% 6.08/6.28 inference(modus_ponens,[status(thm)],[13669, 13668])).
% 6.08/6.28 tff(13671,plain,
% 6.08/6.28 ($false),
% 6.08/6.28 inference(unit_resolution,[status(thm)],[13404, 13670])).
% 6.08/6.28 tff(13672,plain,((~(mult(mult(a, c), mult(mult(a, b), a)) = mult(a, mult(mult(mult(a, b), a), c)))) | (mult(mult(a, mult(c, a)), mult(a, b)) = mult(a, mult(mult(a, b), mult(c, a)))) | (~(mult(mult(mult(a, b), a), c) = mult(mult(a, b), mult(c, a)))) | (~(mult(mult(mult(a, c), a), mult(a, b)) = mult(mult(a, c), mult(mult(a, b), a)))) | (~(mult(mult(b, mult(c, a)), a) = mult(b, mult(a, mult(c, a)))))), inference(lemma,lemma(discharge,[]))).
% 6.08/6.28 tff(13673,plain,
% 6.08/6.28 ((~(mult(mult(a, c), mult(mult(a, b), a)) = mult(a, mult(mult(mult(a, b), a), c)))) | (mult(mult(a, mult(c, a)), mult(a, b)) = mult(a, mult(mult(a, b), mult(c, a)))) | (~(mult(mult(mult(a, b), a), c) = mult(mult(a, b), mult(c, a)))) | (~(mult(mult(mult(a, c), a), mult(a, b)) = mult(mult(a, c), mult(mult(a, b), a))))),
% 6.08/6.28 inference(unit_resolution,[status(thm)],[13672, 4679])).
% 6.08/6.28 tff(13674,plain,
% 6.08/6.28 ((~(mult(mult(a, c), mult(mult(a, b), a)) = mult(a, mult(mult(mult(a, b), a), c)))) | (mult(mult(a, mult(c, a)), mult(a, b)) = mult(a, mult(mult(a, b), mult(c, a)))) | (~(mult(mult(mult(a, c), a), mult(a, b)) = mult(mult(a, c), mult(mult(a, b), a))))),
% 6.08/6.28 inference(unit_resolution,[status(thm)],[13673, 9222])).
% 6.08/6.28 tff(13675,plain,
% 6.08/6.28 (mult(mult(a, mult(c, a)), mult(a, b)) = mult(a, mult(mult(a, b), mult(c, a)))),
% 6.08/6.28 inference(unit_resolution,[status(thm)],[13674, 13633, 10864])).
% 6.08/6.28 tff(13676,plain,
% 6.08/6.28 (mult(mult(mult(a, a), b), mult(c, a)) = mult(mult(mult(a, a), mult(b, a)), c)),
% 6.08/6.28 inference(transitivity,[status(thm)],[12487, 12438, 11958])).
% 6.08/6.28 tff(13677,plain,
% 6.08/6.28 ((mult(mult(mult(a, a), b), mult(c, a)) = mult(mult(a, a), mult(b, mult(c, a)))) <=> (mult(mult(mult(a, a), mult(b, a)), c) = mult(mult(a, a), mult(mult(b, a), c)))),
% 6.08/6.28 inference(monotonicity,[status(thm)],[13676, 13493])).
% 6.08/6.28 tff(13678,plain,
% 6.08/6.28 ((mult(mult(mult(a, a), mult(b, a)), c) = mult(mult(a, a), mult(mult(b, a), c))) <=> (mult(mult(mult(a, a), b), mult(c, a)) = mult(mult(a, a), mult(b, mult(c, a))))),
% 6.08/6.28 inference(symmetry,[status(thm)],[13677])).
% 6.08/6.28 tff(13679,plain,
% 6.08/6.28 (mult(mult(mult(a, a), b), mult(c, a)) = mult(mult(a, a), mult(b, mult(c, a)))),
% 6.08/6.28 inference(modus_ponens,[status(thm)],[13618, 13678])).
% 6.08/6.28 tff(13680,plain,
% 6.08/6.28 (mult(a, mult(b, mult(c, a))) = mult(mult(a, c), mult(b, a))),
% 6.08/6.28 inference(transitivity,[status(thm)],[13277, 1626])).
% 6.08/6.28 tff(13681,plain,
% 6.08/6.28 (mult(mult(a, mult(b, mult(c, a))), a) = mult(mult(mult(a, c), mult(b, a)), a)),
% 6.08/6.28 inference(monotonicity,[status(thm)],[13680])).
% 6.08/6.28 tff(13682,plain,
% 6.08/6.28 (mult(mult(mult(a, c), mult(b, a)), a) = mult(mult(a, mult(b, mult(c, a))), a)),
% 6.08/6.28 inference(symmetry,[status(thm)],[13681])).
% 6.08/6.28 tff(13683,assumption,(mult(mult(a, mult(c, a)), mult(a, b)) = mult(a, mult(mult(a, b), mult(c, a)))), introduced(assumption)).
% 6.08/6.28 tff(13684,plain,
% 6.08/6.28 (mult(a, mult(mult(a, b), mult(c, a))) = mult(mult(a, mult(c, a)), mult(a, b))),
% 6.08/6.28 inference(symmetry,[status(thm)],[13683])).
% 6.08/6.28 tff(13685,plain,
% 6.08/6.28 (mult(a, mult(mult(mult(a, b), a), c)) = mult(a, mult(mult(b, mult(c, a)), a))),
% 6.08/6.28 inference(transitivity,[status(thm)],[13663, 13684, 13428, 10864, 1532, 6997, 13682, 13577])).
% 6.08/6.28 tff(13686,plain,
% 6.08/6.28 (ld(a, mult(a, mult(mult(mult(a, b), a), c))) = ld(a, mult(a, mult(mult(b, mult(c, a)), a)))),
% 6.08/6.28 inference(monotonicity,[status(thm)],[13685])).
% 6.08/6.28 tff(13687,plain,
% 6.08/6.28 (ld(a, mult(a, mult(mult(b, mult(c, a)), a))) = ld(a, mult(a, mult(mult(mult(a, b), a), c)))),
% 6.08/6.28 inference(symmetry,[status(thm)],[13686])).
% 6.08/6.28 tff(13688,assumption,(mult(mult(a, mult(a, b)), mult(c, a)) = mult(a, mult(mult(c, a), mult(a, b)))), introduced(assumption)).
% 6.08/6.28 tff(13689,plain,
% 6.08/6.28 (mult(mult(mult(a, a), b), mult(c, a)) = mult(mult(a, mult(a, b)), mult(c, a))),
% 6.08/6.28 inference(monotonicity,[status(thm)],[448])).
% 6.08/6.28 tff(13690,assumption,(mult(mult(mult(a, a), b), mult(c, a)) = mult(mult(a, a), mult(b, mult(c, a)))), introduced(assumption)).
% 6.08/6.28 tff(13691,plain,
% 6.08/6.28 (mult(mult(a, a), mult(b, mult(c, a))) = mult(mult(mult(a, a), b), mult(c, a))),
% 6.08/6.28 inference(symmetry,[status(thm)],[13690])).
% 6.08/6.28 tff(13692,assumption,(mult(mult(a, a), mult(b, mult(c, a))) = mult(a, mult(a, mult(b, mult(c, a))))), introduced(assumption)).
% 6.08/6.28 tff(13693,plain,
% 6.08/6.28 (mult(a, mult(a, mult(b, mult(c, a)))) = mult(mult(a, a), mult(b, mult(c, a)))),
% 6.08/6.28 inference(symmetry,[status(thm)],[13692])).
% 6.08/6.28 tff(13694,plain,
% 6.08/6.28 (mult(mult(a, c), mult(b, a)) = mult(a, mult(b, mult(c, a)))),
% 6.08/6.28 inference(transitivity,[status(thm)],[135, 13470])).
% 6.08/6.28 tff(13695,plain,
% 6.08/6.28 (mult(a, mult(mult(a, c), mult(b, a))) = mult(a, mult(a, mult(b, mult(c, a))))),
% 6.08/6.28 inference(monotonicity,[status(thm)],[13694])).
% 6.08/6.28 tff(13696,plain,
% 6.08/6.28 (mult(a, mult(mult(a, c), mult(b, a))) = mult(a, mult(c, mult(mult(a, b), a)))),
% 6.08/6.28 inference(transitivity,[status(thm)],[13695, 13693, 13691, 13689, 13688, 13415, 11036])).
% 6.08/6.28 tff(13697,plain,
% 6.08/6.28 (ld(a, mult(a, mult(mult(a, c), mult(b, a)))) = ld(a, mult(a, mult(c, mult(mult(a, b), a))))),
% 6.08/6.28 inference(monotonicity,[status(thm)],[13696])).
% 6.08/6.28 tff(13698,plain,
% 6.08/6.28 (mult(mult(a, c), mult(b, a)) = mult(c, mult(mult(a, b), a))),
% 6.08/6.28 inference(transitivity,[status(thm)],[10816, 13697, 12147])).
% 6.08/6.28 tff(13699,plain,
% 6.08/6.28 (mult(mult(mult(a, c), mult(b, a)), b) = mult(mult(c, mult(mult(a, b), a)), b)),
% 6.08/6.28 inference(monotonicity,[status(thm)],[13698])).
% 6.08/6.28 tff(13700,plain,
% 6.08/6.28 (mult(mult(a, mult(b, mult(c, a))), b) = mult(mult(mult(a, c), mult(b, a)), b)),
% 6.08/6.28 inference(monotonicity,[status(thm)],[13680])).
% 6.08/6.28 tff(13701,assumption,(mult(mult(a, mult(b, mult(c, a))), b) = mult(a, mult(mult(b, mult(c, a)), b))), introduced(assumption)).
% 6.08/6.28 tff(13702,plain,
% 6.08/6.28 (mult(a, mult(mult(b, mult(c, a)), b)) = mult(mult(a, mult(b, mult(c, a))), b)),
% 6.08/6.28 inference(symmetry,[status(thm)],[13701])).
% 6.08/6.28 tff(13703,plain,
% 6.08/6.28 (mult(a, mult(mult(c, a), b)) = mult(mult(a, b), mult(c, a))),
% 6.08/6.28 inference(transitivity,[status(thm)],[352, 3830, 2150, 2431])).
% 6.08/6.28 tff(13704,plain,
% 6.08/6.28 (mult(mult(a, mult(mult(c, a), b)), b) = mult(mult(mult(a, b), mult(c, a)), b)),
% 6.08/6.28 inference(monotonicity,[status(thm)],[13703])).
% 6.08/6.28 tff(13705,plain,
% 6.08/6.28 (mult(mult(b, a), mult(a, c)) = mult(a, mult(mult(c, a), b))),
% 6.08/6.28 inference(transitivity,[status(thm)],[5732, 4656, 13583, 13687, 11987, 13425, 218, 2096])).
% 6.08/6.28 tff(13706,plain,
% 6.08/6.28 (mult(mult(mult(b, a), mult(a, c)), b) = mult(mult(a, mult(mult(c, a), b)), b)),
% 6.08/6.28 inference(monotonicity,[status(thm)],[13705])).
% 6.08/6.28 tff(13707,plain,
% 6.08/6.28 (mult(mult(b, mult(c, a)), a) = mult(mult(b, a), mult(a, c))),
% 6.08/6.28 inference(transitivity,[status(thm)],[4657, 5731])).
% 6.08/6.28 tff(13708,plain,
% 6.08/6.28 (mult(mult(mult(b, mult(c, a)), a), b) = mult(mult(mult(b, a), mult(a, c)), b)),
% 6.08/6.28 inference(monotonicity,[status(thm)],[13707])).
% 6.08/6.28 tff(13709,plain,
% 6.08/6.28 (mult(mult(mult(b, mult(c, a)), a), b) = mult(mult(c, mult(mult(a, b), a)), b)),
% 6.08/6.28 inference(transitivity,[status(thm)],[13708, 13706, 13704, 11829, 13702, 13700, 13699])).
% 6.08/6.28 tff(13710,plain,
% 6.08/6.28 (rd(mult(mult(mult(b, mult(c, a)), a), b), b) = rd(mult(mult(c, mult(mult(a, b), a)), b), b)),
% 6.08/6.28 inference(monotonicity,[status(thm)],[13709])).
% 6.08/6.28 tff(13711,plain,
% 6.08/6.28 (rd(mult(mult(c, mult(mult(a, b), a)), b), b) = rd(mult(mult(mult(b, mult(c, a)), a), b), b)),
% 6.08/6.28 inference(symmetry,[status(thm)],[13710])).
% 6.08/6.28 tff(13712,plain,
% 6.08/6.28 (mult(c, mult(mult(a, b), a)) = rd(mult(mult(c, mult(mult(a, b), a)), b), b)),
% 6.08/6.28 inference(symmetry,[status(thm)],[10147])).
% 6.08/6.28 tff(13713,plain,
% 6.08/6.28 (mult(mult(a, c), mult(b, a)) = mult(a, mult(c, mult(b, a)))),
% 6.08/6.28 inference(transitivity,[status(thm)],[10816, 13697, 12147, 13712, 13711, 7861, 13583, 13687, 11987, 13425, 218])).
% 6.08/6.28 tff(13714,plain,
% 6.08/6.28 ($false),
% 6.08/6.28 inference(unit_resolution,[status(thm)],[119, 13713])).
% 6.08/6.28 tff(13715,plain,((~(mult(mult(a, mult(b, mult(c, a))), b) = mult(a, mult(mult(b, mult(c, a)), b)))) | (mult(mult(a, c), mult(b, a)) = mult(a, mult(c, mult(b, a)))) | (~(mult(mult(mult(a, b), a), c) = mult(mult(a, b), mult(c, a)))) | (~(mult(mult(c, a), b) = mult(c, mult(b, a)))) | (~(mult(mult(mult(b, a), c), a) = mult(mult(b, a), mult(a, c)))) | (~(mult(mult(a, mult(c, a)), mult(a, b)) = mult(a, mult(mult(a, b), mult(c, a))))) | (~(mult(mult(a, mult(b, mult(c, a))), a) = mult(a, mult(mult(b, mult(c, a)), a)))) | (~(mult(mult(mult(a, c), a), mult(a, b)) = mult(mult(a, c), mult(mult(a, b), a)))) | (~(mult(mult(mult(a, c), a), b) = mult(mult(a, c), mult(b, a)))) | (~(mult(mult(b, mult(c, a)), a) = mult(b, mult(a, mult(c, a))))) | (~(mult(mult(a, b), a) = mult(a, mult(b, a)))) | (~(mult(mult(a, a), mult(b, mult(c, a))) = mult(a, mult(a, mult(b, mult(c, a)))))) | (~(mult(mult(mult(a, a), b), mult(c, a)) = mult(mult(a, a), mult(b, mult(c, a))))) | (~(mult(mult(a, mult(a, b)), mult(c, a)) = mult(a, mult(mult(c, a), mult(a, b))))) | (~(mult(mult(c, a), mult(a, b)) = mult(c, mult(mult(a, b), a)))) | (~(mult(mult(a, a), b) = mult(a, mult(a, b))))), inference(lemma,lemma(discharge,[]))).
% 6.08/6.28 tff(13716,plain,
% 6.08/6.28 ((~(mult(mult(a, mult(b, mult(c, a))), b) = mult(a, mult(mult(b, mult(c, a)), b)))) | (mult(mult(a, c), mult(b, a)) = mult(a, mult(c, mult(b, a)))) | (~(mult(mult(mult(a, b), a), c) = mult(mult(a, b), mult(c, a)))) | (~(mult(mult(c, a), b) = mult(c, mult(b, a)))) | (~(mult(mult(mult(b, a), c), a) = mult(mult(b, a), mult(a, c)))) | (~(mult(mult(a, mult(c, a)), mult(a, b)) = mult(a, mult(mult(a, b), mult(c, a))))) | (~(mult(mult(a, mult(b, mult(c, a))), a) = mult(a, mult(mult(b, mult(c, a)), a)))) | (~(mult(mult(mult(a, c), a), mult(a, b)) = mult(mult(a, c), mult(mult(a, b), a)))) | (~(mult(mult(mult(a, c), a), b) = mult(mult(a, c), mult(b, a)))) | (~(mult(mult(a, b), a) = mult(a, mult(b, a)))) | (~(mult(mult(a, a), mult(b, mult(c, a))) = mult(a, mult(a, mult(b, mult(c, a)))))) | (~(mult(mult(mult(a, a), b), mult(c, a)) = mult(mult(a, a), mult(b, mult(c, a))))) | (~(mult(mult(a, mult(a, b)), mult(c, a)) = mult(a, mult(mult(c, a), mult(a, b))))) | (~(mult(mult(c, a), mult(a, b)) = mult(c, mult(mult(a, b), a))))),
% 6.08/6.28 inference(unit_resolution,[status(thm)],[13715, 4190, 4679])).
% 6.08/6.28 tff(13717,plain,
% 6.08/6.28 ((~(mult(mult(a, mult(b, mult(c, a))), b) = mult(a, mult(mult(b, mult(c, a)), b)))) | (mult(mult(a, c), mult(b, a)) = mult(a, mult(c, mult(b, a)))) | (~(mult(mult(mult(a, b), a), c) = mult(mult(a, b), mult(c, a)))) | (~(mult(mult(c, a), b) = mult(c, mult(b, a)))) | (~(mult(mult(a, mult(c, a)), mult(a, b)) = mult(a, mult(mult(a, b), mult(c, a))))) | (~(mult(mult(a, mult(b, mult(c, a))), a) = mult(a, mult(mult(b, mult(c, a)), a)))) | (~(mult(mult(mult(a, c), a), mult(a, b)) = mult(mult(a, c), mult(mult(a, b), a)))) | (~(mult(mult(mult(a, c), a), b) = mult(mult(a, c), mult(b, a)))) | (~(mult(mult(a, a), mult(b, mult(c, a))) = mult(a, mult(a, mult(b, mult(c, a)))))) | (~(mult(mult(mult(a, a), b), mult(c, a)) = mult(mult(a, a), mult(b, mult(c, a))))) | (~(mult(mult(a, mult(a, b)), mult(c, a)) = mult(a, mult(mult(c, a), mult(a, b))))) | (~(mult(mult(c, a), mult(a, b)) = mult(c, mult(mult(a, b), a))))),
% 6.08/6.28 inference(unit_resolution,[status(thm)],[13716, 3530, 4193])).
% 6.08/6.28 tff(13718,plain,
% 6.08/6.28 ((~(mult(mult(a, mult(b, mult(c, a))), b) = mult(a, mult(mult(b, mult(c, a)), b)))) | (mult(mult(a, c), mult(b, a)) = mult(a, mult(c, mult(b, a)))) | (~(mult(mult(c, a), b) = mult(c, mult(b, a)))) | (~(mult(mult(a, mult(c, a)), mult(a, b)) = mult(a, mult(mult(a, b), mult(c, a))))) | (~(mult(mult(a, mult(b, mult(c, a))), a) = mult(a, mult(mult(b, mult(c, a)), a)))) | (~(mult(mult(mult(a, c), a), mult(a, b)) = mult(mult(a, c), mult(mult(a, b), a)))) | (~(mult(mult(mult(a, c), a), b) = mult(mult(a, c), mult(b, a)))) | (~(mult(mult(a, a), mult(b, mult(c, a))) = mult(a, mult(a, mult(b, mult(c, a)))))) | (~(mult(mult(mult(a, a), b), mult(c, a)) = mult(mult(a, a), mult(b, mult(c, a))))) | (~(mult(mult(a, mult(a, b)), mult(c, a)) = mult(a, mult(mult(c, a), mult(a, b))))) | (~(mult(mult(c, a), mult(a, b)) = mult(c, mult(mult(a, b), a))))),
% 6.08/6.28 inference(unit_resolution,[status(thm)],[13717, 9222])).
% 6.08/6.28 tff(13719,plain,
% 6.08/6.28 (~(mult(mult(a, mult(b, mult(c, a))), b) = mult(a, mult(mult(b, mult(c, a)), b)))),
% 6.08/6.28 inference(unit_resolution,[status(thm)],[13718, 13679, 342, 10864, 119, 1362, 13675, 13662, 13576, 13609, 9263])).
% 6.08/6.28 tff(13720,plain,
% 6.08/6.28 (((~(mult(mult(a, b), mult(b, mult(c, a))) = mult(a, mult(b, mult(b, mult(c, a)))))) | (~(mult(mult(a, mult(b, mult(c, a))), b) = mult(a, mult(mult(b, mult(c, a)), b))))) | (mult(mult(a, mult(b, mult(c, a))), b) = mult(a, mult(mult(b, mult(c, a)), b)))),
% 6.08/6.28 inference(tautology,[status(thm)],[])).
% 6.08/6.28 tff(13721,plain,
% 6.08/6.28 ((~(mult(mult(a, b), mult(b, mult(c, a))) = mult(a, mult(b, mult(b, mult(c, a)))))) | (~(mult(mult(a, mult(b, mult(c, a))), b) = mult(a, mult(mult(b, mult(c, a)), b))))),
% 6.08/6.28 inference(unit_resolution,[status(thm)],[13720, 13719])).
% 6.08/6.28 tff(13722,plain,
% 6.08/6.28 (((~![X0: $i, X1: $i, X2: $i] : ((~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X2, X1)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X1, X2)))))) | (~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X1, X2)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X2, X1)))))))) | ((~((~(mult(mult(a, b), mult(b, mult(c, a))) = mult(a, mult(mult(b, mult(c, a)), b)))) | (~(mult(mult(a, mult(b, mult(c, a))), b) = mult(a, mult(b, mult(b, mult(c, a)))))))) | (~((~(mult(mult(a, b), mult(b, mult(c, a))) = mult(a, mult(b, mult(b, mult(c, a)))))) | (~(mult(mult(a, mult(b, mult(c, a))), b) = mult(a, mult(mult(b, mult(c, a)), b)))))))) <=> ((~![X0: $i, X1: $i, X2: $i] : ((~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X2, X1)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X1, X2)))))) | (~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X1, X2)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X2, X1)))))))) | (~((~(mult(mult(a, b), mult(b, mult(c, a))) = mult(a, mult(mult(b, mult(c, a)), b)))) | (~(mult(mult(a, mult(b, mult(c, a))), b) = mult(a, mult(b, mult(b, mult(c, a)))))))) | (~((~(mult(mult(a, b), mult(b, mult(c, a))) = mult(a, mult(b, mult(b, mult(c, a)))))) | (~(mult(mult(a, mult(b, mult(c, a))), b) = mult(a, mult(mult(b, mult(c, a)), b)))))))),
% 6.08/6.28 inference(rewrite,[status(thm)],[])).
% 6.08/6.28 tff(13723,plain,
% 6.08/6.28 ((~![X0: $i, X1: $i, X2: $i] : ((~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X2, X1)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X1, X2)))))) | (~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X1, X2)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X2, X1)))))))) | ((~((~(mult(mult(a, b), mult(b, mult(c, a))) = mult(a, mult(mult(b, mult(c, a)), b)))) | (~(mult(mult(a, mult(b, mult(c, a))), b) = mult(a, mult(b, mult(b, mult(c, a)))))))) | (~((~(mult(mult(a, b), mult(b, mult(c, a))) = mult(a, mult(b, mult(b, mult(c, a)))))) | (~(mult(mult(a, mult(b, mult(c, a))), b) = mult(a, mult(mult(b, mult(c, a)), b)))))))),
% 6.08/6.28 inference(quant_inst,[status(thm)],[])).
% 6.08/6.28 tff(13724,plain,
% 6.08/6.28 ((~![X0: $i, X1: $i, X2: $i] : ((~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X2, X1)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X1, X2)))))) | (~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X1, X2)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X2, X1)))))))) | (~((~(mult(mult(a, b), mult(b, mult(c, a))) = mult(a, mult(mult(b, mult(c, a)), b)))) | (~(mult(mult(a, mult(b, mult(c, a))), b) = mult(a, mult(b, mult(b, mult(c, a)))))))) | (~((~(mult(mult(a, b), mult(b, mult(c, a))) = mult(a, mult(b, mult(b, mult(c, a)))))) | (~(mult(mult(a, mult(b, mult(c, a))), b) = mult(a, mult(mult(b, mult(c, a)), b))))))),
% 6.08/6.29 inference(modus_ponens,[status(thm)],[13723, 13722])).
% 6.08/6.29 tff(13725,plain,
% 6.08/6.29 ((~((~(mult(mult(a, b), mult(b, mult(c, a))) = mult(a, mult(mult(b, mult(c, a)), b)))) | (~(mult(mult(a, mult(b, mult(c, a))), b) = mult(a, mult(b, mult(b, mult(c, a)))))))) | (~((~(mult(mult(a, b), mult(b, mult(c, a))) = mult(a, mult(b, mult(b, mult(c, a)))))) | (~(mult(mult(a, mult(b, mult(c, a))), b) = mult(a, mult(mult(b, mult(c, a)), b))))))),
% 6.08/6.29 inference(unit_resolution,[status(thm)],[13724, 30])).
% 6.08/6.29 tff(13726,plain,
% 6.08/6.29 (~((~(mult(mult(a, b), mult(b, mult(c, a))) = mult(a, mult(mult(b, mult(c, a)), b)))) | (~(mult(mult(a, mult(b, mult(c, a))), b) = mult(a, mult(b, mult(b, mult(c, a)))))))),
% 6.08/6.29 inference(unit_resolution,[status(thm)],[13725, 13721])).
% 6.08/6.29 tff(13727,plain,
% 6.08/6.29 (((~(mult(mult(a, b), mult(b, mult(c, a))) = mult(a, mult(mult(b, mult(c, a)), b)))) | (~(mult(mult(a, mult(b, mult(c, a))), b) = mult(a, mult(b, mult(b, mult(c, a))))))) | (mult(mult(a, b), mult(b, mult(c, a))) = mult(a, mult(mult(b, mult(c, a)), b)))),
% 6.08/6.29 inference(tautology,[status(thm)],[])).
% 6.08/6.29 tff(13728,plain,
% 6.08/6.29 (mult(mult(a, b), mult(b, mult(c, a))) = mult(a, mult(mult(b, mult(c, a)), b))),
% 6.08/6.29 inference(unit_resolution,[status(thm)],[13727, 13726])).
% 6.08/6.29 tff(13729,plain,
% 6.08/6.29 ((~![B: $i, A: $i] : (rd(mult(A, B), B) = A)) | (rd(mult(mult(b, a), mult(b, mult(c, a))), mult(b, mult(c, a))) = mult(b, a))),
% 6.08/6.29 inference(quant_inst,[status(thm)],[])).
% 6.08/6.29 tff(13730,plain,
% 6.08/6.29 (rd(mult(mult(b, a), mult(b, mult(c, a))), mult(b, mult(c, a))) = mult(b, a)),
% 6.08/6.29 inference(unit_resolution,[status(thm)],[13729, 72])).
% 6.08/6.29 tff(13731,plain,
% 6.08/6.29 ((~![B: $i, A: $i] : (rd(mult(A, B), B) = A)) | (rd(mult(mult(mult(b, a), mult(b, mult(c, a))), a), a) = mult(mult(b, a), mult(b, mult(c, a))))),
% 6.08/6.29 inference(quant_inst,[status(thm)],[])).
% 6.08/6.29 tff(13732,plain,
% 6.08/6.29 (rd(mult(mult(mult(b, a), mult(b, mult(c, a))), a), a) = mult(mult(b, a), mult(b, mult(c, a)))),
% 6.08/6.29 inference(unit_resolution,[status(thm)],[13731, 72])).
% 6.08/6.29 tff(13733,plain,
% 6.08/6.29 (mult(b, mult(mult(mult(a, c), a), mult(a, b))) = mult(mult(b, mult(mult(a, c), a)), mult(a, b))),
% 6.08/6.29 inference(symmetry,[status(thm)],[12109])).
% 6.08/6.29 tff(13734,plain,
% 6.08/6.29 (mult(a, mult(mult(mult(a, b), a), c)) = mult(mult(mult(a, c), a), mult(a, b))),
% 6.08/6.29 inference(transitivity,[status(thm)],[13405, 11171])).
% 6.08/6.29 tff(13735,plain,
% 6.08/6.29 (mult(b, mult(a, mult(mult(mult(a, b), a), c))) = mult(b, mult(mult(mult(a, c), a), mult(a, b)))),
% 6.08/6.29 inference(monotonicity,[status(thm)],[13734])).
% 6.08/6.29 tff(13736,plain,
% 6.08/6.29 (mult(mult(mult(a, c), mult(b, a)), a) = mult(mult(mult(mult(a, c), a), b), a)),
% 6.08/6.29 inference(symmetry,[status(thm)],[10776])).
% 6.08/6.29 tff(13737,plain,
% 6.08/6.29 (mult(mult(a, c), mult(b, a)) = mult(a, mult(b, mult(c, a)))),
% 6.08/6.29 inference(transitivity,[status(thm)],[160, 13470])).
% 6.08/6.29 tff(13738,plain,
% 6.08/6.29 (mult(mult(mult(a, c), mult(b, a)), a) = mult(mult(a, mult(b, mult(c, a))), a)),
% 6.08/6.29 inference(monotonicity,[status(thm)],[13737])).
% 6.08/6.29 tff(13739,plain,
% 6.08/6.29 (mult(mult(a, mult(b, mult(c, a))), a) = mult(mult(mult(a, c), mult(b, a)), a)),
% 6.08/6.29 inference(symmetry,[status(thm)],[13738])).
% 6.08/6.29 tff(13740,plain,
% 6.08/6.29 (mult(a, mult(mult(b, mult(c, a)), a)) = mult(mult(a, mult(b, mult(c, a))), a)),
% 6.08/6.29 inference(symmetry,[status(thm)],[13577])).
% 6.08/6.29 tff(13741,plain,
% 6.08/6.29 (mult(a, mult(mult(b, a), mult(a, c))) = mult(a, mult(mult(mult(a, b), a), c))),
% 6.08/6.29 inference(transitivity,[status(thm)],[13599, 13740, 13739, 13736, 1531, 13404])).
% 6.08/6.29 tff(13742,plain,
% 6.08/6.29 (mult(b, mult(a, mult(mult(b, a), mult(a, c)))) = mult(b, mult(a, mult(mult(mult(a, b), a), c)))),
% 6.08/6.29 inference(monotonicity,[status(thm)],[13741])).
% 6.08/6.29 tff(13743,plain,
% 6.08/6.29 (mult(mult(a, mult(b, mult(c, a))), a) = mult(a, mult(mult(b, a), mult(a, c)))),
% 6.08/6.29 inference(transitivity,[status(thm)],[13577, 13598])).
% 6.08/6.29 tff(13744,plain,
% 6.08/6.29 (mult(b, mult(mult(a, mult(b, mult(c, a))), a)) = mult(b, mult(a, mult(mult(b, a), mult(a, c))))),
% 6.08/6.29 inference(monotonicity,[status(thm)],[13743])).
% 6.08/6.29 tff(13745,plain,
% 6.08/6.29 ((~![C: $i, B: $i, A: $i] : (mult(mult(mult(A, B), C), B) = mult(A, mult(mult(B, C), B)))) | (mult(mult(mult(b, a), mult(b, mult(c, a))), a) = mult(b, mult(mult(a, mult(b, mult(c, a))), a)))),
% 6.08/6.29 inference(quant_inst,[status(thm)],[])).
% 6.08/6.29 tff(13746,plain,
% 6.08/6.29 (mult(mult(mult(b, a), mult(b, mult(c, a))), a) = mult(b, mult(mult(a, mult(b, mult(c, a))), a))),
% 6.08/6.29 inference(unit_resolution,[status(thm)],[13745, 860])).
% 6.08/6.29 tff(13747,plain,
% 6.08/6.29 (mult(mult(mult(b, a), mult(b, mult(c, a))), a) = mult(mult(mult(mult(b, a), mult(a, c)), b), a)),
% 6.08/6.29 inference(transitivity,[status(thm)],[13746, 13744, 13742, 13735, 13733, 11585, 11390])).
% 6.08/6.29 tff(13748,plain,
% 6.08/6.29 (rd(mult(mult(mult(b, a), mult(b, mult(c, a))), a), a) = rd(mult(mult(mult(mult(b, a), mult(a, c)), b), a), a)),
% 6.08/6.29 inference(monotonicity,[status(thm)],[13747])).
% 6.08/6.29 tff(13749,plain,
% 6.08/6.29 (rd(mult(mult(mult(mult(b, a), mult(a, c)), b), a), a) = rd(mult(mult(mult(b, a), mult(b, mult(c, a))), a), a)),
% 6.08/6.29 inference(symmetry,[status(thm)],[13748])).
% 6.08/6.29 tff(13750,plain,
% 6.08/6.29 (mult(a, mult(mult(mult(a, b), a), c)) = mult(a, mult(mult(b, a), mult(a, c)))),
% 6.08/6.29 inference(transitivity,[status(thm)],[13405, 1532, 10776, 13738, 13577, 13598])).
% 6.08/6.29 tff(13751,plain,
% 6.08/6.29 (ld(a, mult(a, mult(mult(mult(a, b), a), c))) = ld(a, mult(a, mult(mult(b, a), mult(a, c))))),
% 6.08/6.29 inference(monotonicity,[status(thm)],[13750])).
% 6.08/6.29 tff(13752,plain,
% 6.08/6.29 (mult(mult(a, b), mult(c, a)) = mult(mult(b, a), mult(a, c))),
% 6.08/6.29 inference(transitivity,[status(thm)],[9223, 11988, 13751, 12181])).
% 6.08/6.29 tff(13753,plain,
% 6.08/6.29 (mult(mult(mult(a, b), mult(c, a)), b) = mult(mult(mult(b, a), mult(a, c)), b)),
% 6.08/6.29 inference(monotonicity,[status(thm)],[13752])).
% 6.08/6.29 tff(13754,assumption,(mult(mult(a, b), mult(b, mult(c, a))) = mult(a, mult(mult(b, mult(c, a)), b))), introduced(assumption)).
% 6.08/6.29 tff(13755,plain,
% 6.08/6.29 (mult(mult(a, b), mult(b, mult(c, a))) = mult(mult(b, a), mult(b, mult(c, a)))),
% 6.08/6.29 inference(transitivity,[status(thm)],[13754, 11830, 13753, 7855, 13749, 13732])).
% 6.08/6.29 tff(13756,plain,
% 6.08/6.29 (rd(mult(mult(a, b), mult(b, mult(c, a))), mult(b, mult(c, a))) = rd(mult(mult(b, a), mult(b, mult(c, a))), mult(b, mult(c, a)))),
% 6.08/6.29 inference(monotonicity,[status(thm)],[13755])).
% 6.08/6.29 tff(13757,plain,
% 6.08/6.29 ((~![B: $i, A: $i] : (rd(mult(A, B), B) = A)) | (rd(mult(mult(a, b), mult(b, mult(c, a))), mult(b, mult(c, a))) = mult(a, b))),
% 6.08/6.29 inference(quant_inst,[status(thm)],[])).
% 6.08/6.29 tff(13758,plain,
% 6.08/6.29 (rd(mult(mult(a, b), mult(b, mult(c, a))), mult(b, mult(c, a))) = mult(a, b)),
% 6.08/6.29 inference(unit_resolution,[status(thm)],[13757, 72])).
% 6.08/6.29 tff(13759,plain,
% 6.08/6.29 (mult(a, b) = rd(mult(mult(a, b), mult(b, mult(c, a))), mult(b, mult(c, a)))),
% 6.08/6.29 inference(symmetry,[status(thm)],[13758])).
% 6.08/6.29 tff(13760,plain,
% 6.08/6.29 (mult(a, b) = mult(b, a)),
% 6.08/6.29 inference(transitivity,[status(thm)],[13759, 13756, 13730])).
% 6.08/6.29 tff(13761,plain,
% 6.08/6.29 ($false),
% 6.08/6.29 inference(unit_resolution,[status(thm)],[1, 13760])).
% 6.08/6.29 tff(13762,plain,((~(mult(mult(b, mult(mult(a, c), a)), mult(a, b)) = mult(b, mult(mult(mult(a, c), a), mult(a, b))))) | (mult(a, b) = mult(b, a)) | (~(mult(mult(a, b), mult(b, mult(c, a))) = mult(a, mult(mult(b, mult(c, a)), b)))) | (~(mult(mult(mult(mult(b, a), mult(a, c)), b), a) = mult(mult(mult(b, a), mult(a, c)), mult(a, b)))) | (~(mult(mult(a, c), mult(mult(a, b), a)) = mult(a, mult(mult(mult(a, b), a), c)))) | (~(mult(mult(mult(a, c), a), mult(a, b)) = mult(mult(a, c), mult(mult(a, b), a)))) | (~(mult(mult(a, mult(b, mult(c, a))), a) = mult(a, mult(mult(b, mult(c, a)), a)))) | (~(mult(mult(a, c), mult(b, a)) = mult(a, mult(mult(b, a), c)))) | (~(mult(mult(mult(a, c), a), b) = mult(mult(a, c), mult(b, a))))), inference(lemma,lemma(discharge,[]))).
% 6.08/6.29 tff(13763,plain,
% 6.08/6.29 (~(mult(mult(b, mult(mult(a, c), a)), mult(a, b)) = mult(b, mult(mult(mult(a, c), a), mult(a, b))))),
% 6.08/6.29 inference(unit_resolution,[status(thm)],[13762, 13728, 1, 11316, 13633, 10864, 13576, 13275, 1362])).
% 6.08/6.29 tff(13764,plain,
% 6.08/6.29 ((~(mult(mult(b, mult(a, b)), mult(mult(a, c), a)) = mult(b, mult(mult(a, b), mult(mult(a, c), a))))) | (~(mult(mult(b, mult(mult(a, c), a)), mult(a, b)) = mult(b, mult(mult(mult(a, c), a), mult(a, b)))))),
% 6.08/6.29 inference(unit_resolution,[status(thm)],[11520, 13763])).
% 6.08/6.29 tff(13765,plain,
% 6.08/6.29 (~((~(mult(mult(b, mult(a, b)), mult(mult(a, c), a)) = mult(b, mult(mult(mult(a, c), a), mult(a, b))))) | (~(mult(mult(b, mult(mult(a, c), a)), mult(a, b)) = mult(b, mult(mult(a, b), mult(mult(a, c), a))))))),
% 6.08/6.29 inference(unit_resolution,[status(thm)],[11528, 13764])).
% 6.08/6.29 tff(13766,plain,
% 6.08/6.29 (mult(mult(b, mult(mult(a, c), a)), mult(a, b)) = mult(b, mult(mult(a, b), mult(mult(a, c), a)))),
% 6.08/6.29 inference(unit_resolution,[status(thm)],[11530, 13765])).
% 6.08/6.29 tff(13767,plain,
% 6.08/6.29 (mult(b, mult(mult(a, b), mult(mult(a, c), a))) = mult(mult(b, mult(mult(a, c), a)), mult(a, b))),
% 6.08/6.29 inference(symmetry,[status(thm)],[13766])).
% 6.08/6.29 tff(13768,plain,
% 6.08/6.29 (mult(a, mult(mult(a, c), mult(b, a))) = mult(mult(mult(mult(a, b), a), c), a)),
% 6.08/6.29 inference(transitivity,[status(thm)],[11068, 11015, 13459, 11097])).
% 6.08/6.29 tff(13769,plain,
% 6.08/6.29 (mult(b, mult(a, mult(mult(a, c), mult(b, a)))) = mult(b, mult(mult(mult(mult(a, b), a), c), a))),
% 6.08/6.29 inference(monotonicity,[status(thm)],[13768])).
% 6.08/6.29 tff(13770,plain,
% 6.08/6.29 (mult(b, mult(a, mult(mult(a, c), mult(b, a)))) = mult(mult(b, mult(c, a)), mult(a, mult(b, a)))),
% 6.08/6.29 inference(transitivity,[status(thm)],[13769, 11581, 13767, 11585, 11390, 4201, 4198, 4196])).
% 6.08/6.29 tff(13771,plain,
% 6.08/6.29 (mult(mult(b, a), mult(mult(a, c), mult(b, a))) = mult(mult(mult(b, mult(c, a)), a), mult(b, a))),
% 6.08/6.29 inference(transitivity,[status(thm)],[11412, 3535])).
% 6.08/6.29 tff(13772,plain,
% 6.08/6.29 ((mult(mult(b, a), mult(mult(a, c), mult(b, a))) = mult(b, mult(a, mult(mult(a, c), mult(b, a))))) <=> (mult(mult(mult(b, mult(c, a)), a), mult(b, a)) = mult(mult(b, mult(c, a)), mult(a, mult(b, a))))),
% 6.08/6.29 inference(monotonicity,[status(thm)],[13771, 13770])).
% 6.08/6.29 tff(13773,plain,
% 6.08/6.29 ((mult(mult(mult(b, mult(c, a)), a), mult(b, a)) = mult(mult(b, mult(c, a)), mult(a, mult(b, a)))) <=> (mult(mult(b, a), mult(mult(a, c), mult(b, a))) = mult(b, mult(a, mult(mult(a, c), mult(b, a)))))),
% 6.08/6.29 inference(symmetry,[status(thm)],[13772])).
% 6.08/6.29 tff(13774,plain,
% 6.08/6.29 ((~(mult(mult(mult(b, mult(c, a)), a), mult(b, a)) = mult(mult(b, mult(c, a)), mult(a, mult(b, a))))) <=> (~(mult(mult(b, a), mult(mult(a, c), mult(b, a))) = mult(b, mult(a, mult(mult(a, c), mult(b, a))))))),
% 6.08/6.29 inference(monotonicity,[status(thm)],[13773])).
% 6.08/6.29 tff(13775,plain,
% 6.08/6.29 (~(mult(mult(b, a), mult(mult(a, c), mult(b, a))) = mult(b, mult(a, mult(mult(a, c), mult(b, a)))))),
% 6.08/6.29 inference(modus_ponens,[status(thm)],[10726, 13774])).
% 6.08/6.29 tff(13776,plain,
% 6.08/6.29 (((~(mult(mult(b, a), mult(mult(a, c), mult(b, a))) = mult(b, mult(a, mult(mult(a, c), mult(b, a)))))) | (~(mult(mult(b, mult(mult(a, c), mult(b, a))), a) = mult(b, mult(mult(mult(a, c), mult(b, a)), a))))) | (mult(mult(b, a), mult(mult(a, c), mult(b, a))) = mult(b, mult(a, mult(mult(a, c), mult(b, a)))))),
% 6.08/6.29 inference(tautology,[status(thm)],[])).
% 6.08/6.29 tff(13777,plain,
% 6.08/6.29 ((~(mult(mult(b, a), mult(mult(a, c), mult(b, a))) = mult(b, mult(a, mult(mult(a, c), mult(b, a)))))) | (~(mult(mult(b, mult(mult(a, c), mult(b, a))), a) = mult(b, mult(mult(mult(a, c), mult(b, a)), a))))),
% 6.08/6.29 inference(unit_resolution,[status(thm)],[13776, 13775])).
% 6.08/6.29 tff(13778,plain,
% 6.08/6.29 (((~![X0: $i, X1: $i, X2: $i] : ((~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X2, X1)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X1, X2)))))) | (~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X1, X2)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X2, X1)))))))) | ((~((~(mult(mult(b, a), mult(mult(a, c), mult(b, a))) = mult(b, mult(a, mult(mult(a, c), mult(b, a)))))) | (~(mult(mult(b, mult(mult(a, c), mult(b, a))), a) = mult(b, mult(mult(mult(a, c), mult(b, a)), a)))))) | (~((~(mult(mult(b, a), mult(mult(a, c), mult(b, a))) = mult(b, mult(mult(mult(a, c), mult(b, a)), a)))) | (~(mult(mult(b, mult(mult(a, c), mult(b, a))), a) = mult(b, mult(a, mult(mult(a, c), mult(b, a)))))))))) <=> ((~![X0: $i, X1: $i, X2: $i] : ((~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X2, X1)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X1, X2)))))) | (~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X1, X2)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X2, X1)))))))) | (~((~(mult(mult(b, a), mult(mult(a, c), mult(b, a))) = mult(b, mult(a, mult(mult(a, c), mult(b, a)))))) | (~(mult(mult(b, mult(mult(a, c), mult(b, a))), a) = mult(b, mult(mult(mult(a, c), mult(b, a)), a)))))) | (~((~(mult(mult(b, a), mult(mult(a, c), mult(b, a))) = mult(b, mult(mult(mult(a, c), mult(b, a)), a)))) | (~(mult(mult(b, mult(mult(a, c), mult(b, a))), a) = mult(b, mult(a, mult(mult(a, c), mult(b, a)))))))))),
% 6.08/6.29 inference(rewrite,[status(thm)],[])).
% 6.08/6.29 tff(13779,plain,
% 6.08/6.29 (((~((~(mult(mult(b, a), mult(mult(a, c), mult(b, a))) = mult(b, mult(mult(mult(a, c), mult(b, a)), a)))) | (~(mult(mult(b, mult(mult(a, c), mult(b, a))), a) = mult(b, mult(a, mult(mult(a, c), mult(b, a)))))))) | (~((~(mult(mult(b, a), mult(mult(a, c), mult(b, a))) = mult(b, mult(a, mult(mult(a, c), mult(b, a)))))) | (~(mult(mult(b, mult(mult(a, c), mult(b, a))), a) = mult(b, mult(mult(mult(a, c), mult(b, a)), a))))))) <=> ((~((~(mult(mult(b, a), mult(mult(a, c), mult(b, a))) = mult(b, mult(a, mult(mult(a, c), mult(b, a)))))) | (~(mult(mult(b, mult(mult(a, c), mult(b, a))), a) = mult(b, mult(mult(mult(a, c), mult(b, a)), a)))))) | (~((~(mult(mult(b, a), mult(mult(a, c), mult(b, a))) = mult(b, mult(mult(mult(a, c), mult(b, a)), a)))) | (~(mult(mult(b, mult(mult(a, c), mult(b, a))), a) = mult(b, mult(a, mult(mult(a, c), mult(b, a)))))))))),
% 6.08/6.29 inference(rewrite,[status(thm)],[])).
% 6.08/6.29 tff(13780,plain,
% 6.08/6.29 ((~((~(mult(mult(b, mult(mult(a, c), mult(b, a))), a) = mult(b, mult(mult(mult(a, c), mult(b, a)), a)))) | (~(mult(mult(b, a), mult(mult(a, c), mult(b, a))) = mult(b, mult(a, mult(mult(a, c), mult(b, a)))))))) <=> (~((~(mult(mult(b, a), mult(mult(a, c), mult(b, a))) = mult(b, mult(a, mult(mult(a, c), mult(b, a)))))) | (~(mult(mult(b, mult(mult(a, c), mult(b, a))), a) = mult(b, mult(mult(mult(a, c), mult(b, a)), a))))))),
% 6.08/6.29 inference(rewrite,[status(thm)],[])).
% 6.08/6.29 tff(13781,plain,
% 6.08/6.29 ((~((~(mult(mult(b, mult(mult(a, c), mult(b, a))), a) = mult(b, mult(a, mult(mult(a, c), mult(b, a)))))) | (~(mult(mult(b, a), mult(mult(a, c), mult(b, a))) = mult(b, mult(mult(mult(a, c), mult(b, a)), a)))))) <=> (~((~(mult(mult(b, a), mult(mult(a, c), mult(b, a))) = mult(b, mult(mult(mult(a, c), mult(b, a)), a)))) | (~(mult(mult(b, mult(mult(a, c), mult(b, a))), a) = mult(b, mult(a, mult(mult(a, c), mult(b, a))))))))),
% 6.08/6.29 inference(rewrite,[status(thm)],[])).
% 6.08/6.29 tff(13782,plain,
% 6.08/6.29 (((~((~(mult(mult(b, mult(mult(a, c), mult(b, a))), a) = mult(b, mult(a, mult(mult(a, c), mult(b, a)))))) | (~(mult(mult(b, a), mult(mult(a, c), mult(b, a))) = mult(b, mult(mult(mult(a, c), mult(b, a)), a)))))) | (~((~(mult(mult(b, mult(mult(a, c), mult(b, a))), a) = mult(b, mult(mult(mult(a, c), mult(b, a)), a)))) | (~(mult(mult(b, a), mult(mult(a, c), mult(b, a))) = mult(b, mult(a, mult(mult(a, c), mult(b, a))))))))) <=> ((~((~(mult(mult(b, a), mult(mult(a, c), mult(b, a))) = mult(b, mult(mult(mult(a, c), mult(b, a)), a)))) | (~(mult(mult(b, mult(mult(a, c), mult(b, a))), a) = mult(b, mult(a, mult(mult(a, c), mult(b, a)))))))) | (~((~(mult(mult(b, a), mult(mult(a, c), mult(b, a))) = mult(b, mult(a, mult(mult(a, c), mult(b, a)))))) | (~(mult(mult(b, mult(mult(a, c), mult(b, a))), a) = mult(b, mult(mult(mult(a, c), mult(b, a)), a)))))))),
% 6.08/6.29 inference(monotonicity,[status(thm)],[13781, 13780])).
% 6.08/6.29 tff(13783,plain,
% 6.08/6.29 (((~((~(mult(mult(b, mult(mult(a, c), mult(b, a))), a) = mult(b, mult(a, mult(mult(a, c), mult(b, a)))))) | (~(mult(mult(b, a), mult(mult(a, c), mult(b, a))) = mult(b, mult(mult(mult(a, c), mult(b, a)), a)))))) | (~((~(mult(mult(b, mult(mult(a, c), mult(b, a))), a) = mult(b, mult(mult(mult(a, c), mult(b, a)), a)))) | (~(mult(mult(b, a), mult(mult(a, c), mult(b, a))) = mult(b, mult(a, mult(mult(a, c), mult(b, a))))))))) <=> ((~((~(mult(mult(b, a), mult(mult(a, c), mult(b, a))) = mult(b, mult(a, mult(mult(a, c), mult(b, a)))))) | (~(mult(mult(b, mult(mult(a, c), mult(b, a))), a) = mult(b, mult(mult(mult(a, c), mult(b, a)), a)))))) | (~((~(mult(mult(b, a), mult(mult(a, c), mult(b, a))) = mult(b, mult(mult(mult(a, c), mult(b, a)), a)))) | (~(mult(mult(b, mult(mult(a, c), mult(b, a))), a) = mult(b, mult(a, mult(mult(a, c), mult(b, a)))))))))),
% 6.08/6.30 inference(transitivity,[status(thm)],[13782, 13779])).
% 6.08/6.30 tff(13784,plain,
% 6.08/6.30 (((~![X0: $i, X1: $i, X2: $i] : ((~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X2, X1)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X1, X2)))))) | (~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X1, X2)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X2, X1)))))))) | ((~((~(mult(mult(b, mult(mult(a, c), mult(b, a))), a) = mult(b, mult(a, mult(mult(a, c), mult(b, a)))))) | (~(mult(mult(b, a), mult(mult(a, c), mult(b, a))) = mult(b, mult(mult(mult(a, c), mult(b, a)), a)))))) | (~((~(mult(mult(b, mult(mult(a, c), mult(b, a))), a) = mult(b, mult(mult(mult(a, c), mult(b, a)), a)))) | (~(mult(mult(b, a), mult(mult(a, c), mult(b, a))) = mult(b, mult(a, mult(mult(a, c), mult(b, a)))))))))) <=> ((~![X0: $i, X1: $i, X2: $i] : ((~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X2, X1)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X1, X2)))))) | (~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X1, X2)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X2, X1)))))))) | ((~((~(mult(mult(b, a), mult(mult(a, c), mult(b, a))) = mult(b, mult(a, mult(mult(a, c), mult(b, a)))))) | (~(mult(mult(b, mult(mult(a, c), mult(b, a))), a) = mult(b, mult(mult(mult(a, c), mult(b, a)), a)))))) | (~((~(mult(mult(b, a), mult(mult(a, c), mult(b, a))) = mult(b, mult(mult(mult(a, c), mult(b, a)), a)))) | (~(mult(mult(b, mult(mult(a, c), mult(b, a))), a) = mult(b, mult(a, mult(mult(a, c), mult(b, a))))))))))),
% 6.08/6.30 inference(monotonicity,[status(thm)],[13783])).
% 6.08/6.30 tff(13785,plain,
% 6.08/6.30 (((~![X0: $i, X1: $i, X2: $i] : ((~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X2, X1)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X1, X2)))))) | (~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X1, X2)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X2, X1)))))))) | ((~((~(mult(mult(b, mult(mult(a, c), mult(b, a))), a) = mult(b, mult(a, mult(mult(a, c), mult(b, a)))))) | (~(mult(mult(b, a), mult(mult(a, c), mult(b, a))) = mult(b, mult(mult(mult(a, c), mult(b, a)), a)))))) | (~((~(mult(mult(b, mult(mult(a, c), mult(b, a))), a) = mult(b, mult(mult(mult(a, c), mult(b, a)), a)))) | (~(mult(mult(b, a), mult(mult(a, c), mult(b, a))) = mult(b, mult(a, mult(mult(a, c), mult(b, a)))))))))) <=> ((~![X0: $i, X1: $i, X2: $i] : ((~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X2, X1)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X1, X2)))))) | (~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X1, X2)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X2, X1)))))))) | (~((~(mult(mult(b, a), mult(mult(a, c), mult(b, a))) = mult(b, mult(a, mult(mult(a, c), mult(b, a)))))) | (~(mult(mult(b, mult(mult(a, c), mult(b, a))), a) = mult(b, mult(mult(mult(a, c), mult(b, a)), a)))))) | (~((~(mult(mult(b, a), mult(mult(a, c), mult(b, a))) = mult(b, mult(mult(mult(a, c), mult(b, a)), a)))) | (~(mult(mult(b, mult(mult(a, c), mult(b, a))), a) = mult(b, mult(a, mult(mult(a, c), mult(b, a)))))))))),
% 6.08/6.30 inference(transitivity,[status(thm)],[13784, 13778])).
% 6.08/6.30 tff(13786,plain,
% 6.08/6.30 ((~![X0: $i, X1: $i, X2: $i] : ((~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X2, X1)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X1, X2)))))) | (~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X1, X2)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X2, X1)))))))) | ((~((~(mult(mult(b, mult(mult(a, c), mult(b, a))), a) = mult(b, mult(a, mult(mult(a, c), mult(b, a)))))) | (~(mult(mult(b, a), mult(mult(a, c), mult(b, a))) = mult(b, mult(mult(mult(a, c), mult(b, a)), a)))))) | (~((~(mult(mult(b, mult(mult(a, c), mult(b, a))), a) = mult(b, mult(mult(mult(a, c), mult(b, a)), a)))) | (~(mult(mult(b, a), mult(mult(a, c), mult(b, a))) = mult(b, mult(a, mult(mult(a, c), mult(b, a)))))))))),
% 6.08/6.30 inference(quant_inst,[status(thm)],[])).
% 6.08/6.30 tff(13787,plain,
% 6.08/6.30 ((~![X0: $i, X1: $i, X2: $i] : ((~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X2, X1)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X1, X2)))))) | (~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X1, X2)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X2, X1)))))))) | (~((~(mult(mult(b, a), mult(mult(a, c), mult(b, a))) = mult(b, mult(a, mult(mult(a, c), mult(b, a)))))) | (~(mult(mult(b, mult(mult(a, c), mult(b, a))), a) = mult(b, mult(mult(mult(a, c), mult(b, a)), a)))))) | (~((~(mult(mult(b, a), mult(mult(a, c), mult(b, a))) = mult(b, mult(mult(mult(a, c), mult(b, a)), a)))) | (~(mult(mult(b, mult(mult(a, c), mult(b, a))), a) = mult(b, mult(a, mult(mult(a, c), mult(b, a))))))))),
% 6.08/6.30 inference(modus_ponens,[status(thm)],[13786, 13785])).
% 6.08/6.30 tff(13788,plain,
% 6.08/6.30 ((~((~(mult(mult(b, a), mult(mult(a, c), mult(b, a))) = mult(b, mult(a, mult(mult(a, c), mult(b, a)))))) | (~(mult(mult(b, mult(mult(a, c), mult(b, a))), a) = mult(b, mult(mult(mult(a, c), mult(b, a)), a)))))) | (~((~(mult(mult(b, a), mult(mult(a, c), mult(b, a))) = mult(b, mult(mult(mult(a, c), mult(b, a)), a)))) | (~(mult(mult(b, mult(mult(a, c), mult(b, a))), a) = mult(b, mult(a, mult(mult(a, c), mult(b, a))))))))),
% 6.08/6.30 inference(unit_resolution,[status(thm)],[13787, 30])).
% 6.08/6.30 tff(13789,plain,
% 6.08/6.30 (~((~(mult(mult(b, a), mult(mult(a, c), mult(b, a))) = mult(b, mult(mult(mult(a, c), mult(b, a)), a)))) | (~(mult(mult(b, mult(mult(a, c), mult(b, a))), a) = mult(b, mult(a, mult(mult(a, c), mult(b, a)))))))),
% 6.08/6.30 inference(unit_resolution,[status(thm)],[13788, 13777])).
% 6.08/6.30 tff(13790,plain,
% 6.08/6.30 (((~(mult(mult(b, a), mult(mult(a, c), mult(b, a))) = mult(b, mult(mult(mult(a, c), mult(b, a)), a)))) | (~(mult(mult(b, mult(mult(a, c), mult(b, a))), a) = mult(b, mult(a, mult(mult(a, c), mult(b, a))))))) | (mult(mult(b, a), mult(mult(a, c), mult(b, a))) = mult(b, mult(mult(mult(a, c), mult(b, a)), a)))),
% 6.08/6.30 inference(tautology,[status(thm)],[])).
% 6.08/6.30 tff(13791,plain,
% 6.08/6.30 (mult(mult(b, a), mult(mult(a, c), mult(b, a))) = mult(b, mult(mult(mult(a, c), mult(b, a)), a))),
% 6.08/6.30 inference(unit_resolution,[status(thm)],[13790, 13789])).
% 6.08/6.30 tff(13792,plain,
% 6.08/6.30 (mult(b, mult(mult(mult(a, c), mult(b, a)), a)) = mult(mult(b, a), mult(mult(a, c), mult(b, a)))),
% 6.08/6.30 inference(symmetry,[status(thm)],[13791])).
% 6.08/6.30 tff(13793,plain,
% 6.08/6.30 (mult(a, mult(mult(b, mult(c, a)), a)) = mult(mult(a, mult(b, mult(c, a))), a)),
% 6.08/6.30 inference(symmetry,[status(thm)],[13576])).
% 6.08/6.30 tff(13794,plain,
% 6.08/6.30 (mult(a, mult(mult(b, a), mult(a, c))) = mult(mult(mult(a, c), mult(b, a)), a)),
% 6.08/6.30 inference(transitivity,[status(thm)],[13599, 13793, 13473])).
% 6.08/6.30 tff(13795,plain,
% 6.08/6.30 (mult(b, mult(a, mult(mult(b, a), mult(a, c)))) = mult(b, mult(mult(mult(a, c), mult(b, a)), a))),
% 6.08/6.30 inference(monotonicity,[status(thm)],[13794])).
% 6.08/6.30 tff(13796,plain,
% 6.08/6.30 (mult(b, mult(a, mult(mult(mult(a, b), a), c))) = mult(mult(mult(b, mult(c, a)), a), mult(b, a))),
% 6.08/6.30 inference(transitivity,[status(thm)],[13636, 13795, 13792, 11412, 3535])).
% 6.08/6.30 tff(13797,plain,
% 6.08/6.30 (mult(mult(b, a), mult(mult(mult(a, b), a), c)) = mult(mult(b, mult(c, a)), mult(a, mult(b, a)))),
% 6.08/6.30 inference(transitivity,[status(thm)],[11253, 11155, 4196])).
% 6.08/6.30 tff(13798,plain,
% 6.08/6.30 ((mult(mult(b, a), mult(mult(mult(a, b), a), c)) = mult(b, mult(a, mult(mult(mult(a, b), a), c)))) <=> (mult(mult(b, mult(c, a)), mult(a, mult(b, a))) = mult(mult(mult(b, mult(c, a)), a), mult(b, a)))),
% 6.08/6.30 inference(monotonicity,[status(thm)],[13797, 13796])).
% 6.08/6.30 tff(13799,plain,
% 6.08/6.30 ((mult(mult(b, a), mult(mult(mult(a, b), a), c)) = mult(b, mult(a, mult(mult(mult(a, b), a), c)))) <=> (mult(mult(mult(b, mult(c, a)), a), mult(b, a)) = mult(mult(b, mult(c, a)), mult(a, mult(b, a))))),
% 6.08/6.30 inference(transitivity,[status(thm)],[13798, 2])).
% 6.08/6.30 tff(13800,plain,
% 6.08/6.30 ((mult(mult(mult(b, mult(c, a)), a), mult(b, a)) = mult(mult(b, mult(c, a)), mult(a, mult(b, a)))) <=> (mult(mult(b, a), mult(mult(mult(a, b), a), c)) = mult(b, mult(a, mult(mult(mult(a, b), a), c))))),
% 6.08/6.30 inference(symmetry,[status(thm)],[13799])).
% 6.08/6.30 tff(13801,plain,
% 6.08/6.30 ((mult(mult(mult(b, mult(c, a)), a), mult(b, a)) = mult(mult(b, mult(c, a)), mult(a, mult(b, a)))) <=> (mult(mult(b, mult(mult(a, b), a)), mult(a, c)) = mult(b, mult(mult(a, c), mult(mult(a, b), a))))),
% 6.08/6.30 inference(transitivity,[status(thm)],[13800, 13648, 13641])).
% 6.08/6.30 tff(13802,plain,
% 6.08/6.30 ((~(mult(mult(mult(b, mult(c, a)), a), mult(b, a)) = mult(mult(b, mult(c, a)), mult(a, mult(b, a))))) <=> (~(mult(mult(b, mult(mult(a, b), a)), mult(a, c)) = mult(b, mult(mult(a, c), mult(mult(a, b), a)))))),
% 6.08/6.30 inference(monotonicity,[status(thm)],[13801])).
% 6.08/6.30 tff(13803,plain,
% 6.08/6.30 (~(mult(mult(b, mult(mult(a, b), a)), mult(a, c)) = mult(b, mult(mult(a, c), mult(mult(a, b), a))))),
% 6.08/6.30 inference(modus_ponens,[status(thm)],[10726, 13802])).
% 6.08/6.30 tff(13804,plain,
% 6.08/6.30 ((~(mult(mult(b, mult(a, c)), mult(mult(a, b), a)) = mult(b, mult(mult(mult(a, b), a), mult(a, c))))) | (~(mult(mult(b, mult(mult(a, b), a)), mult(a, c)) = mult(b, mult(mult(a, c), mult(mult(a, b), a)))))),
% 6.08/6.30 inference(unit_resolution,[status(thm)],[11187, 13803])).
% 6.08/6.30 tff(13805,plain,
% 6.08/6.30 (~((~(mult(mult(b, mult(a, c)), mult(mult(a, b), a)) = mult(b, mult(mult(a, c), mult(mult(a, b), a))))) | (~(mult(mult(b, mult(mult(a, b), a)), mult(a, c)) = mult(b, mult(mult(mult(a, b), a), mult(a, c))))))),
% 6.08/6.30 inference(unit_resolution,[status(thm)],[11195, 13804])).
% 6.08/6.30 tff(13806,plain,
% 6.08/6.30 (mult(mult(b, mult(a, c)), mult(mult(a, b), a)) = mult(b, mult(mult(a, c), mult(mult(a, b), a)))),
% 6.08/6.30 inference(unit_resolution,[status(thm)],[11197, 13805])).
% 6.08/6.30 tff(13807,plain,
% 6.08/6.30 ((~(mult(mult(mult(b, mult(c, a)), a), mult(b, a)) = mult(mult(b, mult(c, a)), mult(a, mult(b, a))))) <=> (~(mult(mult(b, a), mult(mult(mult(a, b), a), c)) = mult(b, mult(a, mult(mult(mult(a, b), a), c)))))),
% 6.08/6.30 inference(monotonicity,[status(thm)],[13800])).
% 6.08/6.30 tff(13808,plain,
% 6.08/6.30 (~(mult(mult(b, a), mult(mult(mult(a, b), a), c)) = mult(b, mult(a, mult(mult(mult(a, b), a), c))))),
% 6.08/6.30 inference(modus_ponens,[status(thm)],[10726, 13807])).
% 6.08/6.30 tff(13809,plain,
% 6.08/6.30 ((~(mult(mult(b, a), mult(mult(mult(a, b), a), c)) = mult(b, mult(a, mult(mult(mult(a, b), a), c))))) | (~(mult(mult(b, mult(mult(mult(a, b), a), c)), a) = mult(b, mult(mult(mult(mult(a, b), a), c), a))))),
% 6.08/6.30 inference(unit_resolution,[status(thm)],[13191, 13808])).
% 6.08/6.30 tff(13810,plain,
% 6.08/6.30 (~((~(mult(mult(b, mult(mult(mult(a, b), a), c)), a) = mult(b, mult(a, mult(mult(mult(a, b), a), c))))) | (~(mult(mult(b, a), mult(mult(mult(a, b), a), c)) = mult(b, mult(mult(mult(mult(a, b), a), c), a)))))),
% 6.08/6.30 inference(unit_resolution,[status(thm)],[13189, 13809])).
% 6.08/6.30 tff(13811,plain,
% 6.08/6.30 (((~(mult(mult(b, mult(mult(mult(a, b), a), c)), a) = mult(b, mult(a, mult(mult(mult(a, b), a), c))))) | (~(mult(mult(b, a), mult(mult(mult(a, b), a), c)) = mult(b, mult(mult(mult(mult(a, b), a), c), a))))) | (mult(mult(b, mult(mult(mult(a, b), a), c)), a) = mult(b, mult(a, mult(mult(mult(a, b), a), c))))),
% 6.08/6.30 inference(tautology,[status(thm)],[])).
% 6.08/6.30 tff(13812,plain,
% 6.08/6.30 (mult(mult(b, mult(mult(mult(a, b), a), c)), a) = mult(b, mult(a, mult(mult(mult(a, b), a), c)))),
% 6.08/6.30 inference(unit_resolution,[status(thm)],[13811, 13810])).
% 6.08/6.30 tff(13813,plain,
% 6.08/6.30 (mult(mult(mult(mult(c, a), b), a), mult(b, a)) = mult(mult(c, mult(mult(a, b), a)), mult(b, a))),
% 6.08/6.30 inference(symmetry,[status(thm)],[9768])).
% 6.08/6.30 tff(13814,plain,
% 6.08/6.30 (mult(mult(mult(c, a), b), mult(mult(b, a), a)) = mult(mult(mult(mult(c, a), b), a), mult(b, a))),
% 6.08/6.30 inference(symmetry,[status(thm)],[9767])).
% 6.08/6.30 tff(13815,plain,
% 6.08/6.30 (mult(mult(c, mult(mult(a, b), a)), a) = mult(mult(mult(mult(c, a), b), a), a)),
% 6.08/6.30 inference(symmetry,[status(thm)],[4441])).
% 6.08/6.30 tff(13816,assumption,(mult(mult(mult(a, a), mult(b, a)), c) = mult(mult(a, a), mult(mult(b, a), c))), introduced(assumption)).
% 6.08/6.30 tff(13817,plain,
% 6.08/6.30 (mult(mult(a, a), mult(mult(b, a), c)) = mult(mult(mult(a, a), mult(b, a)), c)),
% 6.08/6.30 inference(symmetry,[status(thm)],[13816])).
% 6.08/6.30 tff(13818,plain,
% 6.08/6.30 (mult(a, mult(b, mult(c, a))) = mult(mult(a, c), mult(b, a))),
% 6.08/6.30 inference(transitivity,[status(thm)],[13277, 512])).
% 6.08/6.30 tff(13819,plain,
% 6.08/6.30 (mult(a, mult(a, mult(b, mult(c, a)))) = mult(a, mult(mult(a, c), mult(b, a)))),
% 6.08/6.31 inference(monotonicity,[status(thm)],[13818])).
% 6.08/6.31 tff(13820,plain,
% 6.08/6.31 (mult(a, mult(mult(a, c), mult(b, a))) = mult(a, mult(a, mult(b, mult(c, a))))),
% 6.08/6.31 inference(symmetry,[status(thm)],[13819])).
% 6.08/6.31 tff(13821,plain,
% 6.08/6.31 (mult(a, mult(mult(a, c), mult(b, a))) = mult(a, mult(c, mult(mult(a, b), a)))),
% 6.08/6.31 inference(transitivity,[status(thm)],[13820, 13693, 13493, 13817, 13596, 13299])).
% 6.08/6.31 tff(13822,plain,
% 6.08/6.31 (ld(a, mult(a, mult(mult(a, c), mult(b, a)))) = ld(a, mult(a, mult(c, mult(mult(a, b), a))))),
% 6.08/6.31 inference(monotonicity,[status(thm)],[13821])).
% 6.08/6.31 tff(13823,plain,
% 6.08/6.31 (ld(a, mult(a, mult(c, mult(mult(a, b), a)))) = ld(a, mult(a, mult(mult(a, c), mult(b, a))))),
% 6.08/6.31 inference(symmetry,[status(thm)],[13822])).
% 6.08/6.31 tff(13824,plain,
% 6.08/6.31 (mult(c, mult(mult(a, b), a)) = mult(mult(a, c), mult(b, a))),
% 6.08/6.31 inference(transitivity,[status(thm)],[13624, 13823, 10815])).
% 6.08/6.31 tff(13825,plain,
% 6.08/6.31 (mult(mult(c, mult(mult(a, b), a)), a) = mult(mult(mult(a, c), mult(b, a)), a)),
% 6.08/6.31 inference(monotonicity,[status(thm)],[13824])).
% 6.08/6.31 tff(13826,plain,
% 6.08/6.31 (mult(mult(mult(a, c), mult(b, a)), a) = mult(mult(c, mult(mult(a, b), a)), a)),
% 6.08/6.31 inference(symmetry,[status(thm)],[13825])).
% 6.08/6.31 tff(13827,plain,
% 6.08/6.31 (mult(mult(mult(a, c), mult(b, a)), a) = mult(mult(mult(c, a), b), mult(a, a))),
% 6.08/6.31 inference(transitivity,[status(thm)],[13826, 13815, 4454])).
% 6.08/6.31 tff(13828,plain,
% 6.08/6.31 (mult(mult(mult(mult(a, c), mult(b, a)), a), b) = mult(mult(mult(mult(c, a), b), mult(a, a)), b)),
% 6.08/6.31 inference(monotonicity,[status(thm)],[13827])).
% 6.08/6.31 tff(13829,plain,
% 6.08/6.31 (mult(a, mult(mult(b, a), mult(a, c))) = mult(mult(mult(a, c), mult(b, a)), a)),
% 6.08/6.31 inference(transitivity,[status(thm)],[13599, 13740, 13739])).
% 6.08/6.31 tff(13830,plain,
% 6.08/6.31 (mult(mult(a, mult(mult(b, a), mult(a, c))), b) = mult(mult(mult(mult(a, c), mult(b, a)), a), b)),
% 6.08/6.31 inference(monotonicity,[status(thm)],[13829])).
% 6.08/6.31 tff(13831,assumption,(mult(mult(a, mult(mult(b, a), mult(a, c))), b) = mult(a, mult(b, mult(mult(b, a), mult(a, c))))), introduced(assumption)).
% 6.08/6.31 tff(13832,plain,
% 6.08/6.31 (mult(a, mult(b, mult(mult(b, a), mult(a, c)))) = mult(mult(a, mult(mult(b, a), mult(a, c))), b)),
% 6.08/6.31 inference(symmetry,[status(thm)],[13831])).
% 6.08/6.31 tff(13833,plain,
% 6.08/6.31 (mult(b, mult(mult(b, a), mult(a, c))) = mult(b, mult(b, mult(mult(a, c), a)))),
% 6.08/6.31 inference(monotonicity,[status(thm)],[4651])).
% 6.08/6.31 tff(13834,plain,
% 6.08/6.31 (mult(b, mult(b, mult(mult(a, c), a))) = mult(b, mult(mult(b, a), mult(a, c)))),
% 6.08/6.31 inference(symmetry,[status(thm)],[13833])).
% 6.08/6.31 tff(13835,plain,
% 6.08/6.31 ((~![B: $i, A: $i] : (rd(mult(A, B), B) = A)) | (rd(mult(mult(b, mult(b, mult(mult(a, c), a))), a), a) = mult(b, mult(b, mult(mult(a, c), a))))),
% 6.08/6.31 inference(quant_inst,[status(thm)],[])).
% 6.08/6.31 tff(13836,plain,
% 6.08/6.31 (rd(mult(mult(b, mult(b, mult(mult(a, c), a))), a), a) = mult(b, mult(b, mult(mult(a, c), a)))),
% 6.08/6.31 inference(unit_resolution,[status(thm)],[13835, 72])).
% 6.08/6.31 tff(13837,assumption,(mult(mult(b, a), mult(mult(a, c), mult(b, a))) = mult(b, mult(mult(mult(a, c), mult(b, a)), a))), introduced(assumption)).
% 6.08/6.31 tff(13838,plain,
% 6.08/6.31 (mult(b, mult(mult(mult(a, c), mult(b, a)), a)) = mult(mult(b, a), mult(mult(a, c), mult(b, a)))),
% 6.08/6.31 inference(symmetry,[status(thm)],[13837])).
% 6.08/6.31 tff(13839,plain,
% 6.08/6.31 (mult(b, mult(a, mult(mult(b, a), mult(a, c)))) = mult(b, mult(mult(mult(a, c), mult(b, a)), a))),
% 6.08/6.31 inference(monotonicity,[status(thm)],[13829])).
% 6.08/6.31 tff(13840,plain,
% 6.08/6.31 (mult(a, mult(mult(mult(a, b), a), c)) = mult(a, mult(mult(b, a), mult(a, c)))),
% 6.08/6.31 inference(transitivity,[status(thm)],[13405, 10827, 11500, 13738, 13577, 13598])).
% 6.08/6.31 tff(13841,plain,
% 6.08/6.31 (mult(b, mult(a, mult(mult(mult(a, b), a), c))) = mult(b, mult(a, mult(mult(b, a), mult(a, c))))),
% 6.08/6.31 inference(monotonicity,[status(thm)],[13840])).
% 6.08/6.31 tff(13842,assumption,(mult(mult(b, mult(mult(mult(a, b), a), c)), a) = mult(b, mult(a, mult(mult(mult(a, b), a), c)))), introduced(assumption)).
% 6.08/6.31 tff(13843,plain,
% 6.08/6.31 (ld(a, mult(a, mult(mult(mult(a, b), a), c))) = ld(a, mult(a, mult(mult(b, a), mult(a, c))))),
% 6.08/6.31 inference(monotonicity,[status(thm)],[13840])).
% 6.08/6.31 tff(13844,plain,
% 6.08/6.31 (mult(mult(mult(a, b), a), c) = mult(b, mult(mult(a, c), a))),
% 6.08/6.31 inference(transitivity,[status(thm)],[11988, 13843, 12181, 4650, 862])).
% 6.08/6.31 tff(13845,plain,
% 6.08/6.31 (mult(b, mult(mult(mult(a, b), a), c)) = mult(b, mult(b, mult(mult(a, c), a)))),
% 6.08/6.31 inference(monotonicity,[status(thm)],[13844])).
% 6.08/6.31 tff(13846,plain,
% 6.08/6.31 (mult(b, mult(b, mult(mult(a, c), a))) = mult(b, mult(mult(mult(a, b), a), c))),
% 6.08/6.31 inference(symmetry,[status(thm)],[13845])).
% 6.08/6.31 tff(13847,plain,
% 6.08/6.31 (mult(b, mult(mult(b, a), mult(a, c))) = mult(b, mult(mult(mult(a, b), a), c))),
% 6.08/6.31 inference(transitivity,[status(thm)],[13833, 13846])).
% 6.08/6.31 tff(13848,plain,
% 6.08/6.31 (mult(mult(b, mult(mult(b, a), mult(a, c))), a) = mult(mult(b, mult(mult(mult(a, b), a), c)), a)),
% 6.08/6.31 inference(monotonicity,[status(thm)],[13847])).
% 6.08/6.31 tff(13849,plain,
% 6.08/6.31 (mult(mult(b, mult(b, mult(mult(a, c), a))), a) = mult(mult(b, mult(mult(b, a), mult(a, c))), a)),
% 6.08/6.31 inference(monotonicity,[status(thm)],[13834])).
% 6.08/6.31 tff(13850,plain,
% 6.08/6.31 (mult(mult(b, mult(b, mult(mult(a, c), a))), a) = mult(mult(a, mult(mult(mult(b, c), a), b)), a)),
% 6.08/6.31 inference(transitivity,[status(thm)],[13849, 13848, 13842, 13841, 13839, 13838, 11412, 7849, 7848, 7202])).
% 6.08/6.31 tff(13851,plain,
% 6.08/6.31 (rd(mult(mult(b, mult(b, mult(mult(a, c), a))), a), a) = rd(mult(mult(a, mult(mult(mult(b, c), a), b)), a), a)),
% 6.08/6.31 inference(monotonicity,[status(thm)],[13850])).
% 6.08/6.31 tff(13852,plain,
% 6.08/6.31 (rd(mult(mult(a, mult(mult(mult(b, c), a), b)), a), a) = rd(mult(mult(b, mult(b, mult(mult(a, c), a))), a), a)),
% 6.08/6.31 inference(symmetry,[status(thm)],[13851])).
% 6.08/6.31 tff(13853,plain,
% 6.08/6.31 (mult(mult(mult(mult(a, b), c), a), b) = mult(b, mult(mult(b, a), mult(a, c)))),
% 6.08/6.31 inference(transitivity,[status(thm)],[6160, 6137, 6159, 6158, 13852, 13836, 13834])).
% 6.08/6.31 tff(13854,plain,
% 6.08/6.31 (mult(a, mult(mult(mult(mult(a, b), c), a), b)) = mult(a, mult(b, mult(mult(b, a), mult(a, c))))),
% 6.08/6.31 inference(monotonicity,[status(thm)],[13853])).
% 6.08/6.31 tff(13855,plain,
% 6.08/6.31 (mult(b, mult(mult(a, c), mult(mult(a, b), a))) = mult(b, mult(a, mult(mult(mult(a, b), a), c)))),
% 6.08/6.31 inference(monotonicity,[status(thm)],[13404])).
% 6.08/6.31 tff(13856,assumption,(mult(mult(b, mult(a, c)), mult(mult(a, b), a)) = mult(b, mult(mult(a, c), mult(mult(a, b), a)))), introduced(assumption)).
% 6.08/6.31 tff(13857,plain,
% 6.08/6.31 (mult(mult(mult(b, c), a), mult(mult(a, b), a)) = mult(mult(mult(a, b), c), mult(mult(a, b), a))),
% 6.08/6.31 inference(transitivity,[status(thm)],[11199, 13856, 13855, 13841, 13839, 13838, 11412, 7849, 7848, 7202, 11795, 11794])).
% 6.08/6.31 tff(13858,plain,
% 6.08/6.31 (rd(mult(mult(mult(b, c), a), mult(mult(a, b), a)), mult(mult(a, b), a)) = rd(mult(mult(mult(a, b), c), mult(mult(a, b), a)), mult(mult(a, b), a))),
% 6.08/6.31 inference(monotonicity,[status(thm)],[13857])).
% 6.08/6.31 tff(13859,plain,
% 6.08/6.31 (mult(mult(b, c), a) = mult(mult(a, b), c)),
% 6.08/6.31 inference(transitivity,[status(thm)],[11204, 13858, 11920])).
% 6.08/6.31 tff(13860,plain,
% 6.08/6.31 (mult(mult(mult(b, c), a), a) = mult(mult(mult(a, b), c), a)),
% 6.08/6.31 inference(monotonicity,[status(thm)],[13859])).
% 6.08/6.31 tff(13861,plain,
% 6.08/6.31 (mult(b, mult(a, mult(a, c))) = mult(mult(mult(a, b), c), a)),
% 6.08/6.31 inference(transitivity,[status(thm)],[5329, 5318, 13860])).
% 6.08/6.31 tff(13862,plain,
% 6.08/6.31 (mult(mult(b, mult(a, mult(a, c))), b) = mult(mult(mult(mult(a, b), c), a), b)),
% 6.08/6.31 inference(monotonicity,[status(thm)],[13861])).
% 6.08/6.31 tff(13863,plain,
% 6.08/6.31 (mult(a, mult(mult(b, mult(a, mult(a, c))), b)) = mult(a, mult(mult(mult(mult(a, b), c), a), b))),
% 6.08/6.31 inference(monotonicity,[status(thm)],[13862])).
% 6.08/6.31 tff(13864,plain,
% 6.08/6.31 (mult(a, mult(mult(mult(b, c), a), a)) = mult(a, mult(b, mult(a, mult(a, c))))),
% 6.08/6.31 inference(symmetry,[status(thm)],[13555])).
% 6.08/6.31 tff(13865,plain,
% 6.08/6.31 (mult(mult(mult(mult(a, b), c), a), a) = mult(mult(a, b), mult(a, mult(a, c)))),
% 6.08/6.31 inference(transitivity,[status(thm)],[11406, 10561, 13864, 13041])).
% 6.08/6.31 tff(13866,plain,
% 6.08/6.31 (mult(mult(mult(mult(mult(a, b), c), a), a), b) = mult(mult(mult(a, b), mult(a, mult(a, c))), b)),
% 6.08/6.31 inference(monotonicity,[status(thm)],[13865])).
% 6.08/6.31 tff(13867,plain,
% 6.08/6.31 (mult(mult(mult(mult(a, b), c), a), mult(b, a)) = mult(mult(mult(mult(mult(a, b), c), a), a), b)),
% 6.08/6.31 inference(symmetry,[status(thm)],[13563])).
% 6.08/6.31 tff(13868,plain,
% 6.08/6.31 (mult(mult(mult(mult(a, b), c), a), mult(b, a)) = mult(mult(c, mult(mult(a, b), a)), mult(b, a))),
% 6.08/6.31 inference(transitivity,[status(thm)],[13867, 13866, 5335, 13863, 13854, 13832, 13830, 13828, 9466, 9362, 13814, 13813])).
% 6.08/6.31 tff(13869,plain,
% 6.08/6.31 (rd(mult(mult(mult(mult(a, b), c), a), mult(b, a)), mult(b, a)) = rd(mult(mult(c, mult(mult(a, b), a)), mult(b, a)), mult(b, a))),
% 6.08/6.31 inference(monotonicity,[status(thm)],[13868])).
% 6.08/6.31 tff(13870,plain,
% 6.08/6.31 (rd(mult(mult(c, mult(mult(a, b), a)), mult(b, a)), mult(b, a)) = rd(mult(mult(mult(mult(a, b), c), a), mult(b, a)), mult(b, a))),
% 6.08/6.31 inference(symmetry,[status(thm)],[13869])).
% 6.08/6.31 tff(13871,plain,
% 6.08/6.31 ((~![B: $i, A: $i] : (rd(mult(A, B), B) = A)) | (rd(mult(mult(c, mult(mult(a, b), a)), mult(b, a)), mult(b, a)) = mult(c, mult(mult(a, b), a)))),
% 6.08/6.31 inference(quant_inst,[status(thm)],[])).
% 6.08/6.31 tff(13872,plain,
% 6.08/6.31 (rd(mult(mult(c, mult(mult(a, b), a)), mult(b, a)), mult(b, a)) = mult(c, mult(mult(a, b), a))),
% 6.08/6.31 inference(unit_resolution,[status(thm)],[13871, 72])).
% 6.08/6.31 tff(13873,plain,
% 6.08/6.31 (mult(c, mult(mult(a, b), a)) = rd(mult(mult(c, mult(mult(a, b), a)), mult(b, a)), mult(b, a))),
% 6.08/6.31 inference(symmetry,[status(thm)],[13872])).
% 6.08/6.31 tff(13874,plain,
% 6.08/6.31 (mult(a, mult(b, mult(c, a))) = mult(mult(mult(a, b), c), a)),
% 6.08/6.31 inference(transitivity,[status(thm)],[13277, 512, 10816, 13822, 12147, 13873, 13870, 10998])).
% 6.08/6.31 tff(13875,plain,
% 6.08/6.31 ($false),
% 6.08/6.31 inference(unit_resolution,[status(thm)],[194, 13874])).
% 6.08/6.31 tff(13876,plain,((~(mult(mult(a, mult(mult(b, a), mult(a, c))), b) = mult(a, mult(b, mult(mult(b, a), mult(a, c)))))) | (~(mult(mult(a, c), mult(b, a)) = mult(a, mult(mult(b, a), c)))) | (~(mult(mult(mult(mult(mult(a, b), c), a), a), b) = mult(mult(mult(mult(a, b), c), a), mult(b, a)))) | (~(mult(mult(mult(mult(c, a), b), mult(a, a)), b) = mult(mult(mult(c, a), b), mult(b, mult(a, a))))) | (~(mult(mult(mult(mult(c, a), b), a), mult(b, a)) = mult(mult(mult(c, a), b), mult(mult(b, a), a)))) | (~(mult(mult(a, mult(b, mult(c, a))), a) = mult(a, mult(mult(b, mult(c, a)), a)))) | (~(mult(mult(mult(a, b), c), a) = mult(mult(a, b), mult(a, c)))) | (~(mult(mult(b, mult(mult(mult(a, b), a), c)), a) = mult(b, mult(a, mult(mult(mult(a, b), a), c))))) | (~(mult(mult(b, a), mult(mult(a, c), mult(b, a))) = mult(b, mult(mult(mult(a, c), mult(b, a)), a)))) | (~(mult(mult(mult(b, a), mult(a, c)), mult(b, a)) = mult(mult(b, a), mult(mult(a, c), mult(b, a))))) | (~(mult(mult(a, c), mult(mult(a, b), a)) = mult(a, mult(mult(mult(a, b), a), c)))) | (~(mult(mult(mult(mult(mult(a, c), mult(b, a)), mult(a, c)), b), a) = mult(mult(mult(mult(a, c), mult(b, a)), mult(a, c)), mult(b, a)))) | (~(mult(mult(mult(a, c), a), b) = mult(mult(a, c), mult(b, a)))) | (~(mult(mult(b, mult(a, c)), mult(mult(a, b), a)) = mult(b, mult(mult(a, c), mult(mult(a, b), a))))) | (~(mult(mult(a, b), mult(a, mult(a, c))) = mult(a, mult(b, mult(a, mult(a, c)))))) | (~(mult(mult(a, mult(mult(b, c), a)), a) = mult(a, mult(mult(mult(b, c), a), a)))) | (~(mult(mult(a, mult(mult(a, b), a)), c) = mult(a, mult(c, mult(mult(a, b), a))))) | (~(mult(mult(mult(a, a), mult(b, a)), c) = mult(mult(a, a), mult(mult(b, a), c)))) | (~(mult(mult(a, a), mult(b, mult(c, a))) = mult(a, mult(a, mult(b, mult(c, a)))))) | (~(mult(mult(a, a), mult(b, a)) = mult(a, mult(a, mult(b, a)))))), inference(lemma,lemma(discharge,[]))).
% 6.08/6.31 tff(13877,plain,
% 6.08/6.31 (~(mult(mult(a, mult(mult(b, a), mult(a, c))), b) = mult(a, mult(b, mult(mult(b, a), mult(a, c)))))),
% 6.08/6.31 inference(unit_resolution,[status(thm)],[13876, 13576, 13563, 10030, 9767, 13275, 168, 13812, 13791, 11366, 13633, 6785, 1362, 13806, 13556, 13553, 13595, 13618, 13609, 11024])).
% 6.08/6.31 tff(13878,plain,
% 6.08/6.31 (((~(mult(mult(a, b), mult(mult(b, a), mult(a, c))) = mult(a, mult(mult(mult(b, a), mult(a, c)), b)))) | (~(mult(mult(a, mult(mult(b, a), mult(a, c))), b) = mult(a, mult(b, mult(mult(b, a), mult(a, c))))))) | (mult(mult(a, mult(mult(b, a), mult(a, c))), b) = mult(a, mult(b, mult(mult(b, a), mult(a, c)))))),
% 6.08/6.31 inference(tautology,[status(thm)],[])).
% 6.08/6.31 tff(13879,plain,
% 6.08/6.31 ((~(mult(mult(a, b), mult(mult(b, a), mult(a, c))) = mult(a, mult(mult(mult(b, a), mult(a, c)), b)))) | (~(mult(mult(a, mult(mult(b, a), mult(a, c))), b) = mult(a, mult(b, mult(mult(b, a), mult(a, c))))))),
% 6.08/6.31 inference(unit_resolution,[status(thm)],[13878, 13877])).
% 6.08/6.31 tff(13880,plain,
% 6.08/6.31 (((~![X0: $i, X1: $i, X2: $i] : ((~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X2, X1)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X1, X2)))))) | (~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X1, X2)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X2, X1)))))))) | ((~((~(mult(mult(a, b), mult(mult(b, a), mult(a, c))) = mult(a, mult(b, mult(mult(b, a), mult(a, c)))))) | (~(mult(mult(a, mult(mult(b, a), mult(a, c))), b) = mult(a, mult(mult(mult(b, a), mult(a, c)), b)))))) | (~((~(mult(mult(a, b), mult(mult(b, a), mult(a, c))) = mult(a, mult(mult(mult(b, a), mult(a, c)), b)))) | (~(mult(mult(a, mult(mult(b, a), mult(a, c))), b) = mult(a, mult(b, mult(mult(b, a), mult(a, c)))))))))) <=> ((~![X0: $i, X1: $i, X2: $i] : ((~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X2, X1)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X1, X2)))))) | (~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X1, X2)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X2, X1)))))))) | (~((~(mult(mult(a, b), mult(mult(b, a), mult(a, c))) = mult(a, mult(b, mult(mult(b, a), mult(a, c)))))) | (~(mult(mult(a, mult(mult(b, a), mult(a, c))), b) = mult(a, mult(mult(mult(b, a), mult(a, c)), b)))))) | (~((~(mult(mult(a, b), mult(mult(b, a), mult(a, c))) = mult(a, mult(mult(mult(b, a), mult(a, c)), b)))) | (~(mult(mult(a, mult(mult(b, a), mult(a, c))), b) = mult(a, mult(b, mult(mult(b, a), mult(a, c)))))))))),
% 6.08/6.31 inference(rewrite,[status(thm)],[])).
% 6.08/6.31 tff(13881,plain,
% 6.08/6.31 (((~((~(mult(mult(a, b), mult(mult(b, a), mult(a, c))) = mult(a, mult(mult(mult(b, a), mult(a, c)), b)))) | (~(mult(mult(a, mult(mult(b, a), mult(a, c))), b) = mult(a, mult(b, mult(mult(b, a), mult(a, c)))))))) | (~((~(mult(mult(a, b), mult(mult(b, a), mult(a, c))) = mult(a, mult(b, mult(mult(b, a), mult(a, c)))))) | (~(mult(mult(a, mult(mult(b, a), mult(a, c))), b) = mult(a, mult(mult(mult(b, a), mult(a, c)), b))))))) <=> ((~((~(mult(mult(a, b), mult(mult(b, a), mult(a, c))) = mult(a, mult(b, mult(mult(b, a), mult(a, c)))))) | (~(mult(mult(a, mult(mult(b, a), mult(a, c))), b) = mult(a, mult(mult(mult(b, a), mult(a, c)), b)))))) | (~((~(mult(mult(a, b), mult(mult(b, a), mult(a, c))) = mult(a, mult(mult(mult(b, a), mult(a, c)), b)))) | (~(mult(mult(a, mult(mult(b, a), mult(a, c))), b) = mult(a, mult(b, mult(mult(b, a), mult(a, c)))))))))),
% 6.08/6.31 inference(rewrite,[status(thm)],[])).
% 6.08/6.31 tff(13882,plain,
% 6.08/6.31 (((~![X0: $i, X1: $i, X2: $i] : ((~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X2, X1)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X1, X2)))))) | (~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X1, X2)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X2, X1)))))))) | ((~((~(mult(mult(a, b), mult(mult(b, a), mult(a, c))) = mult(a, mult(mult(mult(b, a), mult(a, c)), b)))) | (~(mult(mult(a, mult(mult(b, a), mult(a, c))), b) = mult(a, mult(b, mult(mult(b, a), mult(a, c)))))))) | (~((~(mult(mult(a, b), mult(mult(b, a), mult(a, c))) = mult(a, mult(b, mult(mult(b, a), mult(a, c)))))) | (~(mult(mult(a, mult(mult(b, a), mult(a, c))), b) = mult(a, mult(mult(mult(b, a), mult(a, c)), b)))))))) <=> ((~![X0: $i, X1: $i, X2: $i] : ((~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X2, X1)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X1, X2)))))) | (~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X1, X2)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X2, X1)))))))) | ((~((~(mult(mult(a, b), mult(mult(b, a), mult(a, c))) = mult(a, mult(b, mult(mult(b, a), mult(a, c)))))) | (~(mult(mult(a, mult(mult(b, a), mult(a, c))), b) = mult(a, mult(mult(mult(b, a), mult(a, c)), b)))))) | (~((~(mult(mult(a, b), mult(mult(b, a), mult(a, c))) = mult(a, mult(mult(mult(b, a), mult(a, c)), b)))) | (~(mult(mult(a, mult(mult(b, a), mult(a, c))), b) = mult(a, mult(b, mult(mult(b, a), mult(a, c))))))))))),
% 6.08/6.31 inference(monotonicity,[status(thm)],[13881])).
% 6.08/6.31 tff(13883,plain,
% 6.08/6.31 (((~![X0: $i, X1: $i, X2: $i] : ((~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X2, X1)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X1, X2)))))) | (~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X1, X2)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X2, X1)))))))) | ((~((~(mult(mult(a, b), mult(mult(b, a), mult(a, c))) = mult(a, mult(mult(mult(b, a), mult(a, c)), b)))) | (~(mult(mult(a, mult(mult(b, a), mult(a, c))), b) = mult(a, mult(b, mult(mult(b, a), mult(a, c)))))))) | (~((~(mult(mult(a, b), mult(mult(b, a), mult(a, c))) = mult(a, mult(b, mult(mult(b, a), mult(a, c)))))) | (~(mult(mult(a, mult(mult(b, a), mult(a, c))), b) = mult(a, mult(mult(mult(b, a), mult(a, c)), b)))))))) <=> ((~![X0: $i, X1: $i, X2: $i] : ((~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X2, X1)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X1, X2)))))) | (~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X1, X2)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X2, X1)))))))) | (~((~(mult(mult(a, b), mult(mult(b, a), mult(a, c))) = mult(a, mult(b, mult(mult(b, a), mult(a, c)))))) | (~(mult(mult(a, mult(mult(b, a), mult(a, c))), b) = mult(a, mult(mult(mult(b, a), mult(a, c)), b)))))) | (~((~(mult(mult(a, b), mult(mult(b, a), mult(a, c))) = mult(a, mult(mult(mult(b, a), mult(a, c)), b)))) | (~(mult(mult(a, mult(mult(b, a), mult(a, c))), b) = mult(a, mult(b, mult(mult(b, a), mult(a, c)))))))))),
% 6.08/6.32 inference(transitivity,[status(thm)],[13882, 13880])).
% 6.08/6.32 tff(13884,plain,
% 6.08/6.32 ((~![X0: $i, X1: $i, X2: $i] : ((~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X2, X1)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X1, X2)))))) | (~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X1, X2)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X2, X1)))))))) | ((~((~(mult(mult(a, b), mult(mult(b, a), mult(a, c))) = mult(a, mult(mult(mult(b, a), mult(a, c)), b)))) | (~(mult(mult(a, mult(mult(b, a), mult(a, c))), b) = mult(a, mult(b, mult(mult(b, a), mult(a, c)))))))) | (~((~(mult(mult(a, b), mult(mult(b, a), mult(a, c))) = mult(a, mult(b, mult(mult(b, a), mult(a, c)))))) | (~(mult(mult(a, mult(mult(b, a), mult(a, c))), b) = mult(a, mult(mult(mult(b, a), mult(a, c)), b)))))))),
% 6.08/6.32 inference(quant_inst,[status(thm)],[])).
% 6.08/6.32 tff(13885,plain,
% 6.08/6.32 ((~![X0: $i, X1: $i, X2: $i] : ((~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X2, X1)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X1, X2)))))) | (~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X1, X2)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X2, X1)))))))) | (~((~(mult(mult(a, b), mult(mult(b, a), mult(a, c))) = mult(a, mult(b, mult(mult(b, a), mult(a, c)))))) | (~(mult(mult(a, mult(mult(b, a), mult(a, c))), b) = mult(a, mult(mult(mult(b, a), mult(a, c)), b)))))) | (~((~(mult(mult(a, b), mult(mult(b, a), mult(a, c))) = mult(a, mult(mult(mult(b, a), mult(a, c)), b)))) | (~(mult(mult(a, mult(mult(b, a), mult(a, c))), b) = mult(a, mult(b, mult(mult(b, a), mult(a, c))))))))),
% 6.08/6.32 inference(modus_ponens,[status(thm)],[13884, 13883])).
% 6.08/6.32 tff(13886,plain,
% 6.08/6.32 ((~((~(mult(mult(a, b), mult(mult(b, a), mult(a, c))) = mult(a, mult(b, mult(mult(b, a), mult(a, c)))))) | (~(mult(mult(a, mult(mult(b, a), mult(a, c))), b) = mult(a, mult(mult(mult(b, a), mult(a, c)), b)))))) | (~((~(mult(mult(a, b), mult(mult(b, a), mult(a, c))) = mult(a, mult(mult(mult(b, a), mult(a, c)), b)))) | (~(mult(mult(a, mult(mult(b, a), mult(a, c))), b) = mult(a, mult(b, mult(mult(b, a), mult(a, c))))))))),
% 6.08/6.32 inference(unit_resolution,[status(thm)],[13885, 30])).
% 6.08/6.32 tff(13887,plain,
% 6.08/6.32 (~((~(mult(mult(a, b), mult(mult(b, a), mult(a, c))) = mult(a, mult(b, mult(mult(b, a), mult(a, c)))))) | (~(mult(mult(a, mult(mult(b, a), mult(a, c))), b) = mult(a, mult(mult(mult(b, a), mult(a, c)), b)))))),
% 6.08/6.32 inference(unit_resolution,[status(thm)],[13886, 13879])).
% 6.08/6.32 tff(13888,plain,
% 6.08/6.32 (((~(mult(mult(a, b), mult(mult(b, a), mult(a, c))) = mult(a, mult(b, mult(mult(b, a), mult(a, c)))))) | (~(mult(mult(a, mult(mult(b, a), mult(a, c))), b) = mult(a, mult(mult(mult(b, a), mult(a, c)), b))))) | (mult(mult(a, mult(mult(b, a), mult(a, c))), b) = mult(a, mult(mult(mult(b, a), mult(a, c)), b)))),
% 6.08/6.32 inference(tautology,[status(thm)],[])).
% 6.08/6.32 tff(13889,plain,
% 6.08/6.32 (mult(mult(a, mult(mult(b, a), mult(a, c))), b) = mult(a, mult(mult(mult(b, a), mult(a, c)), b))),
% 6.08/6.32 inference(unit_resolution,[status(thm)],[13888, 13887])).
% 6.08/6.32 tff(13890,plain,
% 6.08/6.32 (mult(a, mult(mult(mult(b, a), mult(a, c)), b)) = mult(mult(a, mult(mult(b, a), mult(a, c))), b)),
% 6.08/6.32 inference(symmetry,[status(thm)],[13889])).
% 6.08/6.32 tff(13891,plain,
% 6.08/6.32 (mult(a, mult(mult(mult(b, a), mult(a, c)), b)) = mult(a, mult(mult(b, mult(mult(a, c), a)), b))),
% 6.08/6.32 inference(monotonicity,[status(thm)],[11822])).
% 6.08/6.32 tff(13892,plain,
% 6.08/6.32 (mult(a, mult(mult(b, mult(mult(a, c), a)), b)) = mult(a, mult(mult(mult(b, a), mult(a, c)), b))),
% 6.08/6.32 inference(symmetry,[status(thm)],[13891])).
% 6.08/6.32 tff(13893,plain,
% 6.08/6.32 (mult(mult(mult(b, a), mult(a, c)), a) = mult(mult(mult(mult(a, b), a), c), a)),
% 6.08/6.32 inference(monotonicity,[status(thm)],[13645])).
% 6.08/6.32 tff(13894,plain,
% 6.08/6.32 (mult(mult(mult(mult(a, b), a), c), a) = mult(mult(mult(b, a), mult(a, c)), a)),
% 6.08/6.32 inference(symmetry,[status(thm)],[13893])).
% 6.08/6.32 tff(13895,plain,
% 6.08/6.32 (mult(mult(a, b), mult(mult(a, c), a)) = mult(mult(mult(b, a), mult(a, c)), a)),
% 6.08/6.32 inference(transitivity,[status(thm)],[11097, 13894])).
% 6.08/6.32 tff(13896,plain,
% 6.08/6.32 (mult(mult(mult(a, b), mult(mult(a, c), a)), b) = mult(mult(mult(mult(b, a), mult(a, c)), a), b)),
% 6.08/6.32 inference(monotonicity,[status(thm)],[13895])).
% 6.08/6.32 tff(13897,plain,
% 6.08/6.32 (mult(mult(mult(mult(b, a), mult(a, c)), a), b) = mult(mult(mult(a, b), mult(mult(a, c), a)), b)),
% 6.08/6.32 inference(symmetry,[status(thm)],[13896])).
% 6.08/6.32 tff(13898,plain,
% 6.08/6.32 (mult(mult(b, mult(c, a)), mult(mult(b, a), a)) = mult(mult(mult(b, mult(c, a)), a), mult(b, a))),
% 6.08/6.32 inference(symmetry,[status(thm)],[10916])).
% 6.08/6.32 tff(13899,plain,
% 6.08/6.32 (mult(mult(b, mult(c, a)), mult(mult(b, a), a)) = mult(mult(mult(c, a), b), mult(mult(b, a), a))),
% 6.08/6.32 inference(transitivity,[status(thm)],[13898, 3534, 11411, 13897, 11819, 13892, 13890, 13632, 13629, 10030, 13573])).
% 6.08/6.32 tff(13900,plain,
% 6.08/6.32 (rd(mult(mult(b, mult(c, a)), mult(mult(b, a), a)), mult(mult(b, a), a)) = rd(mult(mult(mult(c, a), b), mult(mult(b, a), a)), mult(mult(b, a), a))),
% 6.08/6.32 inference(monotonicity,[status(thm)],[13899])).
% 6.08/6.32 tff(13901,plain,
% 6.08/6.32 ((~![B: $i, A: $i] : (rd(mult(A, B), B) = A)) | (rd(mult(mult(b, mult(c, a)), mult(mult(b, a), a)), mult(mult(b, a), a)) = mult(b, mult(c, a)))),
% 6.08/6.32 inference(quant_inst,[status(thm)],[])).
% 6.08/6.32 tff(13902,plain,
% 6.08/6.32 (rd(mult(mult(b, mult(c, a)), mult(mult(b, a), a)), mult(mult(b, a), a)) = mult(b, mult(c, a))),
% 6.08/6.32 inference(unit_resolution,[status(thm)],[13901, 72])).
% 6.08/6.32 tff(13903,plain,
% 6.08/6.32 (mult(b, mult(c, a)) = rd(mult(mult(b, mult(c, a)), mult(mult(b, a), a)), mult(mult(b, a), a))),
% 6.08/6.32 inference(symmetry,[status(thm)],[13902])).
% 6.08/6.32 tff(13904,plain,
% 6.08/6.32 (mult(b, mult(c, a)) = mult(mult(c, a), b)),
% 6.08/6.32 inference(transitivity,[status(thm)],[13903, 13900, 13572])).
% 6.08/6.32 tff(13905,plain,
% 6.08/6.32 (mult(a, mult(mult(c, a), b)) = mult(mult(a, mult(b, a)), c)),
% 6.08/6.32 inference(transitivity,[status(thm)],[352, 3830])).
% 6.08/6.32 tff(13906,plain,
% 6.08/6.32 ((mult(a, mult(b, mult(c, a))) = mult(a, mult(mult(c, a), b))) <=> (mult(a, mult(mult(b, a), c)) = mult(mult(a, mult(b, a)), c))),
% 6.08/6.32 inference(monotonicity,[status(thm)],[13277, 13905])).
% 6.08/6.32 tff(13907,plain,
% 6.08/6.32 ((mult(a, mult(b, mult(c, a))) = mult(a, mult(mult(c, a), b))) <=> (mult(mult(a, mult(b, a)), c) = mult(a, mult(mult(b, a), c)))),
% 6.08/6.32 inference(transitivity,[status(thm)],[13906, 13460])).
% 6.08/6.32 tff(13908,plain,
% 6.08/6.32 ((mult(mult(a, mult(b, a)), c) = mult(a, mult(mult(b, a), c))) <=> (mult(a, mult(b, mult(c, a))) = mult(a, mult(mult(c, a), b)))),
% 6.08/6.32 inference(symmetry,[status(thm)],[13907])).
% 6.08/6.32 tff(13909,plain,
% 6.08/6.32 ((mult(mult(a, c), mult(b, a)) = mult(a, mult(c, mult(b, a)))) <=> (mult(a, mult(b, mult(c, a))) = mult(a, mult(mult(c, a), b)))),
% 6.08/6.32 inference(transitivity,[status(thm)],[13462, 13908])).
% 6.08/6.32 tff(13910,plain,
% 6.08/6.32 ((~(mult(mult(a, c), mult(b, a)) = mult(a, mult(c, mult(b, a))))) <=> (~(mult(a, mult(b, mult(c, a))) = mult(a, mult(mult(c, a), b))))),
% 6.08/6.32 inference(monotonicity,[status(thm)],[13909])).
% 6.08/6.32 tff(13911,plain,
% 6.08/6.32 (~(mult(a, mult(b, mult(c, a))) = mult(a, mult(mult(c, a), b)))),
% 6.08/6.32 inference(modus_ponens,[status(thm)],[119, 13910])).
% 6.08/6.32 tff(13912,plain,
% 6.08/6.32 (~(mult(b, mult(c, a)) = mult(mult(c, a), b))),
% 6.08/6.32 inference(unit_resolution,[status(thm)],[13456, 13911])).
% 6.08/6.32 tff(13913,plain,
% 6.08/6.32 ($false),
% 6.08/6.32 inference(unit_resolution,[status(thm)],[13912, 13904])).
% 6.08/6.32 tff(13914,plain,(((~(mult(mult(a, a), mult(b, mult(c, a))) = mult(a, mult(a, mult(b, mult(c, a)))))) | (~(mult(mult(a, mult(b, mult(c, a))), a) = mult(a, mult(mult(b, mult(c, a)), a))))) | (~(mult(mult(mult(mult(b, a), mult(a, c)), a), b) = mult(mult(mult(b, a), mult(a, c)), mult(b, a)))) | (~(mult(mult(a, a), mult(b, a)) = mult(a, mult(a, mult(b, a))))) | (~(mult(mult(mult(mult(mult(a, b), c), a), a), b) = mult(mult(mult(mult(a, b), c), a), mult(b, a)))) | (~(mult(mult(mult(mult(c, a), b), a), mult(b, a)) = mult(mult(mult(c, a), b), mult(mult(b, a), a)))) | (~(mult(mult(mult(a, b), c), a) = mult(mult(a, b), mult(a, c)))) | (~(mult(mult(mult(b, a), mult(a, c)), mult(b, a)) = mult(mult(b, a), mult(mult(a, c), mult(b, a))))) | (~(mult(mult(mult(mult(mult(a, c), mult(b, a)), mult(a, c)), b), a) = mult(mult(mult(mult(a, c), mult(b, a)), mult(a, c)), mult(b, a)))) | (~(mult(mult(mult(a, c), a), b) = mult(mult(a, c), mult(b, a)))) | (mult(mult(mult(b, mult(c, a)), a), mult(b, a)) = mult(mult(b, mult(c, a)), mult(a, mult(b, a)))) | (~(mult(mult(mult(b, a), c), mult(mult(a, b), a)) = mult(mult(b, a), mult(mult(mult(a, b), a), c)))) | (~(mult(mult(mult(b, a), mult(b, a)), mult(a, c)) = mult(mult(b, a), mult(mult(b, a), mult(a, c))))) | (~(mult(mult(mult(b, a), b), a) = mult(mult(b, a), mult(b, a)))) | (~(mult(mult(mult(mult(b, a), mult(a, c)), b), a) = mult(mult(mult(b, a), mult(a, c)), mult(a, b)))) | (mult(a, b) = mult(b, a)) | (~(mult(mult(mult(a, c), a), mult(a, b)) = mult(mult(a, c), mult(mult(a, b), a)))) | (~(mult(mult(c, a), b) = mult(c, mult(b, a)))) | (mult(mult(a, c), mult(b, a)) = mult(a, mult(c, mult(b, a)))) | (~(mult(mult(c, a), mult(a, b)) = mult(c, mult(mult(a, b), a)))) | (~(mult(mult(mult(mult(a, a), b), a), c) = mult(mult(mult(a, a), b), mult(c, a)))) | (mult(mult(a, mult(b, a)), mult(a, c)) = mult(a, mult(mult(b, a), mult(a, c)))) | (~(mult(mult(a, mult(c, a)), b) = mult(a, mult(b, mult(c, a)))))), inference(lemma,lemma(discharge,[]))).
% 6.08/6.32 tff(13915,plain,
% 6.08/6.32 (~(mult(mult(mult(b, a), c), mult(mult(a, b), a)) = mult(mult(b, a), mult(mult(mult(a, b), a), c)))),
% 6.08/6.32 inference(unit_resolution,[status(thm)],[13914, 13570, 11024, 13563, 9767, 168, 11366, 6785, 1362, 10726, 10947, 13562, 11025, 11316, 1, 10864, 342, 119, 9263, 12437, 11058, 1736])).
% 6.08/6.32 tff(13916,plain,
% 6.08/6.32 ((~(mult(mult(mult(b, a), mult(mult(a, b), a)), c) = mult(mult(b, a), mult(c, mult(mult(a, b), a))))) | (~(mult(mult(mult(b, a), c), mult(mult(a, b), a)) = mult(mult(b, a), mult(mult(mult(a, b), a), c))))),
% 6.08/6.32 inference(unit_resolution,[status(thm)],[11237, 13915])).
% 6.08/6.32 tff(13917,plain,
% 6.08/6.32 (~((~(mult(mult(mult(b, a), mult(mult(a, b), a)), c) = mult(mult(b, a), mult(mult(mult(a, b), a), c)))) | (~(mult(mult(mult(b, a), c), mult(mult(a, b), a)) = mult(mult(b, a), mult(c, mult(mult(a, b), a))))))),
% 6.08/6.32 inference(unit_resolution,[status(thm)],[11235, 13916])).
% 6.08/6.32 tff(13918,plain,
% 6.08/6.32 (mult(mult(mult(b, a), c), mult(mult(a, b), a)) = mult(mult(b, a), mult(c, mult(mult(a, b), a)))),
% 6.08/6.32 inference(unit_resolution,[status(thm)],[11230, 13917])).
% 6.08/6.32 tff(13919,plain,
% 6.08/6.32 (mult(mult(b, a), mult(c, mult(mult(a, b), a))) = mult(mult(mult(b, a), c), mult(mult(a, b), a))),
% 6.08/6.32 inference(symmetry,[status(thm)],[13918])).
% 6.08/6.32 tff(13920,plain,
% 6.08/6.32 (mult(mult(a, mult(b, mult(c, a))), a) = mult(a, mult(mult(b, mult(c, a)), a))),
% 6.08/6.32 inference(unit_resolution,[status(thm)],[13575, 13570])).
% 6.08/6.32 tff(13921,plain,
% 6.08/6.32 (~(mult(mult(a, c), mult(mult(a, b), a)) = mult(a, mult(c, mult(mult(a, b), a))))),
% 6.08/6.32 inference(unit_resolution,[status(thm)],[13592, 13920, 1362, 13541, 13464, 1736])).
% 6.08/6.32 tff(13922,plain,
% 6.08/6.32 (~((~(mult(mult(a, c), mult(mult(a, b), a)) = mult(a, mult(mult(mult(a, b), a), c)))) | (~(mult(mult(a, mult(mult(a, b), a)), c) = mult(a, mult(c, mult(mult(a, b), a))))))),
% 6.08/6.32 inference(unit_resolution,[status(thm)],[13294, 13921])).
% 6.08/6.32 tff(13923,plain,
% 6.08/6.32 (mult(mult(a, mult(mult(a, b), a)), c) = mult(a, mult(c, mult(mult(a, b), a)))),
% 6.08/6.32 inference(unit_resolution,[status(thm)],[13296, 13922])).
% 6.08/6.32 tff(13924,plain,
% 6.08/6.32 (mult(mult(a, a), mult(b, mult(c, a))) = mult(a, mult(a, mult(b, mult(c, a))))),
% 6.08/6.32 inference(unit_resolution,[status(thm)],[13608, 13570])).
% 6.08/6.32 tff(13925,plain,
% 6.08/6.32 (mult(mult(a, a), mult(b, mult(c, a))) = mult(mult(a, mult(b, a)), mult(a, c))),
% 6.08/6.32 inference(transitivity,[status(thm)],[13924, 13475, 11068])).
% 6.08/6.32 tff(13926,plain,
% 6.08/6.32 ((mult(mult(a, a), mult(b, mult(c, a))) = mult(a, mult(mult(b, mult(c, a)), a))) <=> (mult(mult(a, mult(b, a)), mult(a, c)) = mult(a, mult(mult(b, a), mult(a, c))))),
% 6.08/6.32 inference(monotonicity,[status(thm)],[13925, 13598])).
% 6.08/6.32 tff(13927,plain,
% 6.08/6.32 ((mult(mult(a, mult(b, a)), mult(a, c)) = mult(a, mult(mult(b, a), mult(a, c)))) <=> (mult(mult(a, a), mult(b, mult(c, a))) = mult(a, mult(mult(b, mult(c, a)), a)))),
% 6.08/6.32 inference(symmetry,[status(thm)],[13926])).
% 6.08/6.32 tff(13928,plain,
% 6.08/6.32 ((mult(mult(a, mult(b, a)), mult(a, c)) = mult(a, mult(mult(b, a), mult(a, c)))) <=> (mult(mult(mult(a, a), c), mult(b, a)) = mult(mult(a, a), mult(mult(b, a), c)))),
% 6.08/6.32 inference(transitivity,[status(thm)],[13927, 13607])).
% 6.08/6.32 tff(13929,plain,
% 6.08/6.32 ((~(mult(mult(a, mult(b, a)), mult(a, c)) = mult(a, mult(mult(b, a), mult(a, c))))) <=> (~(mult(mult(mult(a, a), c), mult(b, a)) = mult(mult(a, a), mult(mult(b, a), c))))),
% 6.08/6.32 inference(monotonicity,[status(thm)],[13928])).
% 6.08/6.32 tff(13930,plain,
% 6.08/6.32 (~(mult(mult(mult(a, a), c), mult(b, a)) = mult(mult(a, a), mult(mult(b, a), c)))),
% 6.08/6.32 inference(modus_ponens,[status(thm)],[11058, 13929])).
% 6.08/6.32 tff(13931,plain,
% 6.08/6.32 ((~(mult(mult(mult(a, a), c), mult(b, a)) = mult(mult(a, a), mult(mult(b, a), c)))) | (~(mult(mult(mult(a, a), mult(b, a)), c) = mult(mult(a, a), mult(c, mult(b, a)))))),
% 6.08/6.32 inference(unit_resolution,[status(thm)],[13498, 13930])).
% 6.08/6.32 tff(13932,plain,
% 6.08/6.32 (~((~(mult(mult(mult(a, a), c), mult(b, a)) = mult(mult(a, a), mult(c, mult(b, a))))) | (~(mult(mult(mult(a, a), mult(b, a)), c) = mult(mult(a, a), mult(mult(b, a), c)))))),
% 6.08/6.32 inference(unit_resolution,[status(thm)],[11117, 13931])).
% 6.08/6.32 tff(13933,plain,
% 6.08/6.32 (mult(mult(mult(a, a), mult(b, a)), c) = mult(mult(a, a), mult(mult(b, a), c))),
% 6.08/6.32 inference(unit_resolution,[status(thm)],[13495, 13932])).
% 6.08/6.32 tff(13934,plain,
% 6.08/6.32 (mult(mult(a, a), mult(mult(b, a), c)) = mult(mult(mult(a, a), mult(b, a)), c)),
% 6.08/6.32 inference(symmetry,[status(thm)],[13933])).
% 6.08/6.32 tff(13935,plain,
% 6.08/6.32 (mult(a, mult(a, mult(b, mult(c, a)))) = mult(mult(a, a), mult(b, mult(c, a)))),
% 6.08/6.32 inference(symmetry,[status(thm)],[13924])).
% 6.08/6.32 tff(13936,plain,
% 6.08/6.32 (mult(a, mult(mult(a, c), mult(b, a))) = mult(a, mult(c, mult(mult(a, b), a)))),
% 6.08/6.32 inference(transitivity,[status(thm)],[13476, 13935, 13493, 13934, 13596, 13923])).
% 6.08/6.32 tff(13937,plain,
% 6.08/6.32 (ld(a, mult(a, mult(mult(a, c), mult(b, a)))) = ld(a, mult(a, mult(c, mult(mult(a, b), a))))),
% 6.08/6.32 inference(monotonicity,[status(thm)],[13936])).
% 6.08/6.32 tff(13938,plain,
% 6.08/6.32 (ld(a, mult(a, mult(c, mult(mult(a, b), a)))) = ld(a, mult(a, mult(mult(a, c), mult(b, a))))),
% 6.08/6.32 inference(symmetry,[status(thm)],[13937])).
% 6.08/6.32 tff(13939,plain,
% 6.08/6.32 (mult(mult(mult(c, a), b), a) = mult(mult(a, c), mult(b, a))),
% 6.08/6.32 inference(transitivity,[status(thm)],[2807, 13624, 13938, 10815])).
% 6.08/6.32 tff(13940,plain,
% 6.08/6.32 (mult(mult(b, a), mult(mult(mult(c, a), b), a)) = mult(mult(b, a), mult(mult(a, c), mult(b, a)))),
% 6.08/6.32 inference(monotonicity,[status(thm)],[13939])).
% 6.08/6.32 tff(13941,plain,
% 6.08/6.32 (mult(mult(b, a), mult(mult(a, c), mult(b, a))) = mult(mult(b, a), mult(mult(mult(c, a), b), a))),
% 6.08/6.32 inference(symmetry,[status(thm)],[13940])).
% 6.08/6.32 tff(13942,plain,
% 6.08/6.32 (mult(mult(mult(b, mult(c, a)), a), mult(b, a)) = mult(mult(b, mult(c, a)), mult(a, mult(b, a)))),
% 6.08/6.32 inference(transitivity,[status(thm)],[3534, 11366, 13941, 11315, 13919, 11396, 4196])).
% 6.08/6.32 tff(13943,plain,
% 6.08/6.32 ($false),
% 6.08/6.32 inference(unit_resolution,[status(thm)],[10726, 13942])).
% 6.08/6.32 tff(13944,plain,((mult(mult(a, mult(b, a)), mult(a, c)) = mult(a, mult(mult(b, a), mult(a, c)))) | (mult(mult(mult(b, mult(c, a)), a), mult(b, a)) = mult(mult(b, mult(c, a)), mult(a, mult(b, a)))) | (~(mult(mult(mult(b, a), mult(a, c)), mult(b, a)) = mult(mult(b, a), mult(mult(a, c), mult(b, a))))) | (~(mult(mult(a, a), mult(b, a)) = mult(a, mult(a, mult(b, a))))) | (~(mult(mult(mult(a, c), a), b) = mult(mult(a, c), mult(b, a)))) | (~(mult(mult(a, mult(c, a)), b) = mult(a, mult(b, mult(c, a))))) | (~(mult(mult(mult(mult(mult(a, b), c), a), a), b) = mult(mult(mult(mult(a, b), c), a), mult(b, a)))) | (~(mult(mult(mult(mult(c, a), b), a), mult(b, a)) = mult(mult(mult(c, a), b), mult(mult(b, a), a)))) | (~(mult(mult(mult(a, b), c), a) = mult(mult(a, b), mult(a, c)))) | (~(mult(mult(mult(mult(mult(a, c), mult(b, a)), mult(a, c)), b), a) = mult(mult(mult(mult(a, c), mult(b, a)), mult(a, c)), mult(b, a)))) | (~(mult(mult(mult(mult(b, a), mult(a, c)), a), b) = mult(mult(mult(b, a), mult(a, c)), mult(b, a)))) | (~(mult(mult(mult(b, a), mult(b, a)), mult(a, c)) = mult(mult(b, a), mult(mult(b, a), mult(a, c))))) | (~(mult(mult(mult(b, a), b), a) = mult(mult(b, a), mult(b, a)))) | (~(mult(mult(mult(mult(b, a), mult(a, c)), b), a) = mult(mult(mult(b, a), mult(a, c)), mult(a, b)))) | (mult(a, b) = mult(b, a)) | (~(mult(mult(mult(a, c), a), mult(a, b)) = mult(mult(a, c), mult(mult(a, b), a)))) | (~(mult(mult(c, a), b) = mult(c, mult(b, a)))) | (mult(mult(a, c), mult(b, a)) = mult(a, mult(c, mult(b, a)))) | (~(mult(mult(c, a), mult(a, b)) = mult(c, mult(mult(a, b), a)))) | (~(mult(mult(mult(mult(a, a), b), a), c) = mult(mult(mult(a, a), b), mult(c, a))))), inference(lemma,lemma(discharge,[]))).
% 6.08/6.33 tff(13945,plain,
% 6.08/6.33 (mult(mult(a, mult(b, a)), mult(a, c)) = mult(a, mult(mult(b, a), mult(a, c)))),
% 6.08/6.33 inference(unit_resolution,[status(thm)],[13944, 11152, 10726, 11024, 1362, 1736, 13550, 9767, 168, 13545, 10947, 11176, 11025, 11316, 1, 6854, 342, 119, 9263, 12437])).
% 6.08/6.33 tff(13946,plain,
% 6.08/6.33 (~(mult(mult(a, c), mult(mult(a, b), a)) = mult(a, mult(c, mult(mult(a, b), a))))),
% 6.08/6.33 inference(unit_resolution,[status(thm)],[13592, 13577, 1362, 439, 1394, 1736])).
% 6.08/6.33 tff(13947,plain,
% 6.08/6.33 (~((~(mult(mult(a, c), mult(mult(a, b), a)) = mult(a, mult(mult(mult(a, b), a), c)))) | (~(mult(mult(a, mult(mult(a, b), a)), c) = mult(a, mult(c, mult(mult(a, b), a))))))),
% 6.08/6.33 inference(unit_resolution,[status(thm)],[13294, 13946])).
% 6.08/6.33 tff(13948,plain,
% 6.08/6.33 (mult(mult(b, a), mult(a, c)) = mult(mult(b, mult(c, a)), a)),
% 6.08/6.33 inference(transitivity,[status(thm)],[4650, 11925])).
% 6.08/6.33 tff(13949,plain,
% 6.08/6.33 (mult(a, mult(mult(b, a), mult(a, c))) = mult(a, mult(mult(b, mult(c, a)), a))),
% 6.08/6.33 inference(monotonicity,[status(thm)],[13948])).
% 6.08/6.33 tff(13950,plain,
% 6.08/6.33 (mult(a, mult(mult(b, mult(c, a)), a)) = mult(a, mult(mult(b, a), mult(a, c)))),
% 6.08/6.33 inference(symmetry,[status(thm)],[13949])).
% 6.08/6.33 tff(13951,plain,
% 6.08/6.33 (mult(mult(a, mult(b, mult(c, a))), a) = mult(mult(mult(a, c), mult(b, a)), a)),
% 6.08/6.33 inference(monotonicity,[status(thm)],[13474])).
% 6.08/6.33 tff(13952,plain,
% 6.08/6.33 (mult(mult(mult(a, c), mult(b, a)), a) = mult(mult(a, mult(b, mult(c, a))), a)),
% 6.08/6.33 inference(symmetry,[status(thm)],[13951])).
% 6.08/6.33 tff(13953,plain,
% 6.08/6.33 (mult(a, mult(mult(mult(a, b), a), c)) = mult(a, mult(mult(b, a), mult(a, c)))),
% 6.08/6.33 inference(transitivity,[status(thm)],[13345, 13684, 13281, 10864, 1532, 6997, 13952, 13577, 13950])).
% 6.08/6.33 tff(13954,plain,
% 6.08/6.33 (ld(a, mult(a, mult(mult(mult(a, b), a), c))) = ld(a, mult(a, mult(mult(b, a), mult(a, c))))),
% 6.08/6.33 inference(monotonicity,[status(thm)],[13953])).
% 6.08/6.33 tff(13955,plain,
% 6.08/6.33 (ld(a, mult(a, mult(mult(b, a), mult(a, c)))) = ld(a, mult(a, mult(mult(mult(a, b), a), c)))),
% 6.08/6.33 inference(symmetry,[status(thm)],[13954])).
% 6.08/6.33 tff(13956,plain,
% 6.08/6.33 (mult(mult(b, a), mult(a, c)) = mult(mult(mult(a, b), a), c)),
% 6.08/6.33 inference(transitivity,[status(thm)],[12189, 13955, 11987])).
% 6.08/6.33 tff(13957,plain,
% 6.08/6.33 (mult(mult(mult(b, a), mult(a, c)), a) = mult(mult(mult(mult(a, b), a), c), a)),
% 6.08/6.33 inference(monotonicity,[status(thm)],[13956])).
% 6.08/6.33 tff(13958,plain,
% 6.08/6.33 (mult(mult(mult(mult(a, b), a), c), a) = mult(mult(mult(b, a), mult(a, c)), a)),
% 6.08/6.33 inference(symmetry,[status(thm)],[13957])).
% 6.08/6.33 tff(13959,plain,
% 6.08/6.33 (mult(mult(mult(a, c), mult(b, a)), a) = mult(mult(mult(b, a), mult(a, c)), a)),
% 6.08/6.33 inference(transitivity,[status(thm)],[13952, 13577, 13950, 11306, 11305, 11017, 11097, 13958])).
% 6.08/6.33 tff(13960,plain,
% 6.08/6.33 (rd(mult(mult(mult(a, c), mult(b, a)), a), a) = rd(mult(mult(mult(b, a), mult(a, c)), a), a)),
% 6.08/6.33 inference(monotonicity,[status(thm)],[13959])).
% 6.08/6.33 tff(13961,plain,
% 6.08/6.33 (rd(mult(mult(mult(b, a), mult(a, c)), a), a) = rd(mult(mult(mult(a, c), mult(b, a)), a), a)),
% 6.08/6.33 inference(symmetry,[status(thm)],[13960])).
% 6.08/6.33 tff(13962,plain,
% 6.08/6.33 (mult(mult(b, a), mult(a, c)) = mult(mult(a, c), mult(b, a))),
% 6.08/6.33 inference(transitivity,[status(thm)],[11337, 13961, 1528])).
% 6.08/6.33 tff(13963,plain,
% 6.08/6.33 (mult(mult(b, a), mult(mult(b, a), mult(a, c))) = mult(mult(b, a), mult(mult(a, c), mult(b, a)))),
% 6.08/6.33 inference(monotonicity,[status(thm)],[13962])).
% 6.08/6.33 tff(13964,plain,
% 6.08/6.33 (mult(mult(b, a), mult(mult(a, c), mult(b, a))) = mult(mult(b, a), mult(mult(b, a), mult(a, c)))),
% 6.08/6.33 inference(symmetry,[status(thm)],[13963])).
% 6.08/6.33 tff(13965,plain,
% 6.08/6.33 (mult(mult(mult(b, a), mult(a, c)), mult(b, a)) = mult(mult(b, a), mult(mult(b, a), mult(a, c)))),
% 6.08/6.33 inference(transitivity,[status(thm)],[11152, 13964])).
% 6.08/6.33 tff(13966,plain,
% 6.08/6.33 ($false),
% 6.08/6.33 inference(unit_resolution,[status(thm)],[11136, 13965])).
% 6.08/6.33 tff(13967,plain,((~(mult(mult(a, mult(b, a)), mult(a, c)) = mult(a, mult(mult(b, a), mult(a, c))))) | (mult(mult(mult(b, a), mult(a, c)), mult(b, a)) = mult(mult(b, a), mult(mult(b, a), mult(a, c)))) | (~(mult(mult(mult(a, b), a), mult(a, c)) = mult(mult(a, b), mult(mult(a, c), a)))) | (~(mult(mult(a, mult(b, mult(c, a))), a) = mult(a, mult(mult(b, mult(c, a)), a)))) | (~(mult(mult(a, mult(c, a)), mult(a, b)) = mult(a, mult(mult(a, b), mult(c, a))))) | (~(mult(mult(mult(a, c), a), mult(a, b)) = mult(mult(a, c), mult(mult(a, b), a)))) | (~(mult(mult(mult(a, c), a), b) = mult(mult(a, c), mult(b, a)))) | (~(mult(mult(a, mult(c, a)), b) = mult(a, mult(b, mult(c, a)))))), inference(lemma,lemma(discharge,[]))).
% 6.08/6.33 tff(13968,plain,
% 6.08/6.33 (~(mult(mult(a, mult(c, a)), mult(a, b)) = mult(a, mult(mult(a, b), mult(c, a))))),
% 6.08/6.33 inference(unit_resolution,[status(thm)],[13967, 13577, 11017, 1736, 10864, 11249, 1362, 11136])).
% 6.08/6.33 tff(13969,plain,
% 6.08/6.33 (~(mult(mult(a, c), mult(mult(a, b), a)) = mult(a, mult(mult(mult(a, b), a), c)))),
% 6.08/6.33 inference(unit_resolution,[status(thm)],[13674, 13968, 10864])).
% 6.08/6.33 tff(13970,plain,
% 6.08/6.33 ($false),
% 6.08/6.33 inference(unit_resolution,[status(thm)],[13412, 13969, 13947])).
% 6.08/6.33 tff(13971,plain,((~(mult(mult(a, mult(b, mult(c, a))), a) = mult(a, mult(mult(b, mult(c, a)), a)))) | (~(mult(mult(mult(a, c), a), mult(a, b)) = mult(mult(a, c), mult(mult(a, b), a)))) | (~(mult(mult(mult(a, b), a), mult(a, c)) = mult(mult(a, b), mult(mult(a, c), a)))) | (~(mult(mult(a, mult(c, a)), b) = mult(a, mult(b, mult(c, a))))) | (~(mult(mult(a, mult(b, a)), mult(a, c)) = mult(a, mult(mult(b, a), mult(a, c))))) | (~(mult(mult(mult(a, c), a), b) = mult(mult(a, c), mult(b, a)))) | (mult(mult(mult(b, a), mult(a, c)), mult(b, a)) = mult(mult(b, a), mult(mult(b, a), mult(a, c)))) | (~(mult(mult(a, b), mult(c, a)) = mult(a, mult(mult(c, a), b)))) | (mult(mult(a, mult(b, a)), c) = mult(a, mult(mult(b, a), c)))), inference(lemma,lemma(discharge,[]))).
% 6.08/6.33 tff(13972,plain,
% 6.08/6.33 (~(mult(mult(a, mult(b, mult(c, a))), a) = mult(a, mult(mult(b, mult(c, a)), a)))),
% 6.08/6.33 inference(unit_resolution,[status(thm)],[13971, 13945, 13459, 1736, 6854, 1362, 11136, 13541, 13464])).
% 6.08/6.33 tff(13973,plain,
% 6.08/6.33 ((~(mult(mult(a, a), mult(b, mult(c, a))) = mult(a, mult(a, mult(b, mult(c, a)))))) | (~(mult(mult(a, mult(b, mult(c, a))), a) = mult(a, mult(mult(b, mult(c, a)), a))))),
% 6.08/6.33 inference(unit_resolution,[status(thm)],[13575, 13972])).
% 6.08/6.33 tff(13974,plain,
% 6.08/6.33 (~((~(mult(mult(a, a), mult(b, mult(c, a))) = mult(a, mult(mult(b, mult(c, a)), a)))) | (~(mult(mult(a, mult(b, mult(c, a))), a) = mult(a, mult(a, mult(b, mult(c, a)))))))),
% 6.08/6.33 inference(unit_resolution,[status(thm)],[13569, 13973])).
% 6.08/6.33 tff(13975,plain,
% 6.08/6.33 (mult(mult(a, mult(b, mult(c, a))), a) = mult(a, mult(a, mult(b, mult(c, a))))),
% 6.08/6.33 inference(unit_resolution,[status(thm)],[13393, 13974])).
% 6.08/6.33 tff(13976,plain,
% 6.08/6.33 (~(mult(mult(a, c), mult(mult(a, b), a)) = mult(a, mult(mult(mult(a, b), a), c)))),
% 6.08/6.33 inference(unit_resolution,[status(thm)],[13410, 13975, 1362, 13464, 1736])).
% 6.08/6.33 tff(13977,plain,
% 6.08/6.33 ((~(mult(mult(a, c), mult(mult(a, b), a)) = mult(a, mult(mult(mult(a, b), a), c)))) | (~(mult(mult(a, mult(mult(a, b), a)), c) = mult(a, mult(c, mult(mult(a, b), a)))))),
% 6.08/6.33 inference(unit_resolution,[status(thm)],[13412, 13976])).
% 6.08/6.33 tff(13978,plain,
% 6.08/6.33 (mult(mult(a, c), mult(mult(a, b), a)) = mult(a, mult(c, mult(mult(a, b), a)))),
% 6.08/6.33 inference(unit_resolution,[status(thm)],[13294, 13977])).
% 6.08/6.33 tff(13979,plain,
% 6.08/6.33 (mult(a, mult(a, mult(b, mult(c, a)))) = mult(mult(a, mult(b, mult(c, a))), a)),
% 6.08/6.33 inference(symmetry,[status(thm)],[13975])).
% 6.08/6.33 tff(13980,plain,
% 6.08/6.33 (mult(a, mult(mult(a, c), mult(b, a))) = mult(a, mult(a, mult(b, mult(c, a))))),
% 6.08/6.33 inference(monotonicity,[status(thm)],[13471])).
% 6.08/6.33 tff(13981,plain,
% 6.08/6.33 (mult(a, mult(mult(a, c), mult(b, a))) = mult(a, mult(c, mult(mult(a, b), a)))),
% 6.08/6.33 inference(transitivity,[status(thm)],[13980, 13979, 13951, 11029, 10731, 13978])).
% 6.08/6.33 tff(13982,plain,
% 6.08/6.33 (ld(a, mult(a, mult(mult(a, c), mult(b, a)))) = ld(a, mult(a, mult(c, mult(mult(a, b), a))))),
% 6.08/6.33 inference(monotonicity,[status(thm)],[13981])).
% 6.08/6.33 tff(13983,plain,
% 6.08/6.33 (ld(a, mult(a, mult(c, mult(mult(a, b), a)))) = ld(a, mult(a, mult(mult(a, c), mult(b, a))))),
% 6.08/6.33 inference(symmetry,[status(thm)],[13982])).
% 6.08/6.33 tff(13984,plain,
% 6.08/6.33 (mult(mult(mult(c, a), b), a) = mult(mult(a, c), mult(b, a))),
% 6.08/6.33 inference(transitivity,[status(thm)],[2807, 13624, 13983, 10815])).
% 6.08/6.33 tff(13985,plain,
% 6.08/6.33 (mult(mult(b, a), mult(mult(mult(c, a), b), a)) = mult(mult(b, a), mult(mult(a, c), mult(b, a)))),
% 6.08/6.33 inference(monotonicity,[status(thm)],[13984])).
% 6.08/6.33 tff(13986,plain,
% 6.08/6.33 (mult(mult(b, a), mult(c, mult(mult(a, b), a))) = mult(mult(mult(b, mult(c, a)), a), mult(b, a))),
% 6.08/6.33 inference(transitivity,[status(thm)],[11223, 13985, 11166, 3535])).
% 6.08/6.33 tff(13987,plain,
% 6.08/6.33 (mult(mult(mult(b, a), c), mult(mult(a, b), a)) = mult(mult(b, mult(c, a)), mult(a, mult(b, a)))),
% 6.08/6.33 inference(transitivity,[status(thm)],[11155, 4196])).
% 6.08/6.33 tff(13988,plain,
% 6.08/6.33 ((mult(mult(mult(b, a), c), mult(mult(a, b), a)) = mult(mult(b, a), mult(c, mult(mult(a, b), a)))) <=> (mult(mult(b, mult(c, a)), mult(a, mult(b, a))) = mult(mult(mult(b, mult(c, a)), a), mult(b, a)))),
% 6.08/6.33 inference(monotonicity,[status(thm)],[13987, 13986])).
% 6.08/6.33 tff(13989,plain,
% 6.08/6.33 ((mult(mult(mult(b, a), c), mult(mult(a, b), a)) = mult(mult(b, a), mult(c, mult(mult(a, b), a)))) <=> (mult(mult(mult(b, mult(c, a)), a), mult(b, a)) = mult(mult(b, mult(c, a)), mult(a, mult(b, a))))),
% 6.08/6.33 inference(transitivity,[status(thm)],[13988, 2])).
% 6.08/6.33 tff(13990,plain,
% 6.08/6.33 ((mult(mult(mult(b, mult(c, a)), a), mult(b, a)) = mult(mult(b, mult(c, a)), mult(a, mult(b, a)))) <=> (mult(mult(mult(b, a), c), mult(mult(a, b), a)) = mult(mult(b, a), mult(c, mult(mult(a, b), a))))),
% 6.08/6.33 inference(symmetry,[status(thm)],[13989])).
% 6.08/6.33 tff(13991,plain,
% 6.08/6.33 ((~(mult(mult(mult(b, mult(c, a)), a), mult(b, a)) = mult(mult(b, mult(c, a)), mult(a, mult(b, a))))) <=> (~(mult(mult(mult(b, a), c), mult(mult(a, b), a)) = mult(mult(b, a), mult(c, mult(mult(a, b), a)))))),
% 6.08/6.33 inference(monotonicity,[status(thm)],[13990])).
% 6.08/6.33 tff(13992,plain,
% 6.08/6.33 (~(mult(mult(mult(b, a), c), mult(mult(a, b), a)) = mult(mult(b, a), mult(c, mult(mult(a, b), a))))),
% 6.08/6.33 inference(modus_ponens,[status(thm)],[10726, 13991])).
% 6.08/6.33 tff(13993,plain,
% 6.08/6.33 ((~(mult(mult(mult(b, a), mult(mult(a, b), a)), c) = mult(mult(b, a), mult(mult(mult(a, b), a), c)))) | (~(mult(mult(mult(b, a), c), mult(mult(a, b), a)) = mult(mult(b, a), mult(c, mult(mult(a, b), a)))))),
% 6.08/6.33 inference(unit_resolution,[status(thm)],[11230, 13992])).
% 6.08/6.33 tff(13994,plain,
% 6.08/6.33 (~((~(mult(mult(mult(b, a), mult(mult(a, b), a)), c) = mult(mult(b, a), mult(c, mult(mult(a, b), a))))) | (~(mult(mult(mult(b, a), c), mult(mult(a, b), a)) = mult(mult(b, a), mult(mult(mult(a, b), a), c)))))),
% 6.08/6.33 inference(unit_resolution,[status(thm)],[11235, 13993])).
% 6.08/6.33 tff(13995,plain,
% 6.08/6.33 (((~(mult(mult(mult(b, a), mult(mult(a, b), a)), c) = mult(mult(b, a), mult(c, mult(mult(a, b), a))))) | (~(mult(mult(mult(b, a), c), mult(mult(a, b), a)) = mult(mult(b, a), mult(mult(mult(a, b), a), c))))) | (mult(mult(mult(b, a), mult(mult(a, b), a)), c) = mult(mult(b, a), mult(c, mult(mult(a, b), a))))),
% 6.08/6.33 inference(tautology,[status(thm)],[])).
% 6.08/6.33 tff(13996,plain,
% 6.08/6.33 (mult(mult(mult(b, a), mult(mult(a, b), a)), c) = mult(mult(b, a), mult(c, mult(mult(a, b), a)))),
% 6.08/6.33 inference(unit_resolution,[status(thm)],[13995, 13994])).
% 6.08/6.33 tff(13997,plain,
% 6.08/6.33 (mult(mult(mult(b, mult(a, a)), b), a) = mult(mult(mult(mult(b, a), a), b), a)),
% 6.08/6.33 inference(monotonicity,[status(thm)],[12512])).
% 6.08/6.33 tff(13998,plain,
% 6.08/6.33 (mult(mult(b, a), mult(a, b)) = mult(mult(mult(b, a), a), b)),
% 6.08/6.33 inference(symmetry,[status(thm)],[12167])).
% 6.08/6.33 tff(13999,plain,
% 6.08/6.33 (mult(mult(b, a), mult(a, b)) = mult(mult(b, mult(a, a)), b)),
% 6.08/6.33 inference(transitivity,[status(thm)],[13998, 4603])).
% 6.08/6.33 tff(14000,plain,
% 6.08/6.33 (mult(mult(mult(b, a), mult(a, b)), a) = mult(mult(mult(b, mult(a, a)), b), a)),
% 6.08/6.33 inference(monotonicity,[status(thm)],[13999])).
% 6.08/6.33 tff(14001,plain,
% 6.08/6.33 ((~![C: $i, B: $i, A: $i] : (mult(mult(mult(A, B), C), B) = mult(A, mult(mult(B, C), B)))) | (mult(mult(mult(b, a), mult(a, b)), a) = mult(b, mult(mult(a, mult(a, b)), a)))),
% 6.08/6.33 inference(quant_inst,[status(thm)],[])).
% 6.08/6.33 tff(14002,plain,
% 6.08/6.33 (mult(mult(mult(b, a), mult(a, b)), a) = mult(b, mult(mult(a, mult(a, b)), a))),
% 6.08/6.33 inference(unit_resolution,[status(thm)],[14001, 860])).
% 6.08/6.33 tff(14003,plain,
% 6.08/6.33 (mult(b, mult(mult(a, mult(a, b)), a)) = mult(mult(mult(b, a), mult(a, b)), a)),
% 6.08/6.33 inference(symmetry,[status(thm)],[14002])).
% 6.08/6.33 tff(14004,plain,
% 6.08/6.33 (mult(a, mult(mult(a, b), a)) = mult(mult(mult(a, a), b), a)),
% 6.08/6.33 inference(symmetry,[status(thm)],[10371])).
% 6.08/6.33 tff(14005,plain,
% 6.08/6.33 (mult(a, mult(mult(a, b), a)) = mult(mult(a, mult(a, b)), a)),
% 6.08/6.33 inference(transitivity,[status(thm)],[14004, 7687])).
% 6.08/6.33 tff(14006,plain,
% 6.08/6.33 (mult(b, mult(a, mult(mult(a, b), a))) = mult(b, mult(mult(a, mult(a, b)), a))),
% 6.08/6.33 inference(monotonicity,[status(thm)],[14005])).
% 6.08/6.33 tff(14007,plain,
% 6.08/6.33 (mult(b, mult(a, mult(mult(a, b), a))) = mult(mult(b, a), mult(mult(a, b), a))),
% 6.08/6.33 inference(transitivity,[status(thm)],[14006, 14003, 14000, 13997, 9976])).
% 6.08/6.33 tff(14008,plain,
% 6.08/6.33 (mult(mult(b, mult(a, mult(mult(a, b), a))), c) = mult(mult(mult(b, a), mult(mult(a, b), a)), c)),
% 6.08/6.33 inference(monotonicity,[status(thm)],[14007])).
% 6.08/6.33 tff(14009,plain,
% 6.08/6.33 (mult(mult(mult(b, a), c), mult(mult(a, b), a)) = mult(mult(b, a), mult(mult(mult(a, b), a), c))),
% 6.08/6.33 inference(unit_resolution,[status(thm)],[11237, 13994])).
% 6.08/6.33 tff(14010,plain,
% 6.08/6.33 (mult(mult(b, a), mult(mult(mult(a, b), a), c)) = mult(mult(mult(b, a), c), mult(mult(a, b), a))),
% 6.08/6.33 inference(symmetry,[status(thm)],[14009])).
% 6.08/6.33 tff(14011,plain,
% 6.08/6.33 (mult(mult(b, a), mult(a, mult(mult(c, a), b))) = mult(mult(b, a), mult(mult(mult(a, b), a), c))),
% 6.08/6.33 inference(monotonicity,[status(thm)],[13477])).
% 6.08/6.33 tff(14012,plain,
% 6.08/6.33 (mult(mult(a, a), mult(b, mult(c, a))) = mult(a, mult(mult(b, mult(c, a)), a))),
% 6.08/6.33 inference(unit_resolution,[status(thm)],[13501, 13974])).
% 6.08/6.33 tff(14013,plain,
% 6.08/6.33 (mult(mult(a, a), mult(mult(b, a), c)) = mult(a, mult(mult(b, a), mult(a, c)))),
% 6.08/6.33 inference(transitivity,[status(thm)],[13492, 14012, 13598])).
% 6.08/6.33 tff(14014,plain,
% 6.08/6.33 (mult(mult(mult(a, a), c), b) = mult(mult(a, mult(a, c)), b)),
% 6.08/6.33 inference(transitivity,[status(thm)],[13491, 8185, 10409, 12295])).
% 6.08/6.33 tff(14015,plain,
% 6.08/6.33 (rd(mult(mult(mult(a, a), c), b), b) = rd(mult(mult(a, mult(a, c)), b), b)),
% 6.08/6.33 inference(monotonicity,[status(thm)],[14014])).
% 6.08/6.33 tff(14016,plain,
% 6.08/6.33 (mult(mult(a, a), c) = mult(a, mult(a, c))),
% 6.08/6.33 inference(transitivity,[status(thm)],[5380, 14015, 908])).
% 6.08/6.33 tff(14017,plain,
% 6.08/6.33 (mult(mult(mult(a, a), c), mult(b, a)) = mult(mult(a, mult(a, c)), mult(b, a))),
% 6.08/6.33 inference(monotonicity,[status(thm)],[14016])).
% 6.08/6.33 tff(14018,plain,
% 6.08/6.33 ((mult(mult(mult(a, a), c), mult(b, a)) = mult(mult(a, a), mult(mult(b, a), c))) <=> (mult(mult(a, mult(a, c)), mult(b, a)) = mult(a, mult(mult(b, a), mult(a, c))))),
% 6.08/6.33 inference(monotonicity,[status(thm)],[14017, 14013])).
% 6.08/6.33 tff(14019,plain,
% 6.08/6.33 ((mult(mult(a, mult(a, c)), mult(b, a)) = mult(a, mult(mult(b, a), mult(a, c)))) <=> (mult(mult(mult(a, a), c), mult(b, a)) = mult(mult(a, a), mult(mult(b, a), c)))),
% 6.08/6.34 inference(symmetry,[status(thm)],[14018])).
% 6.08/6.34 tff(14020,plain,
% 6.08/6.34 (~(mult(mult(a, mult(b, a)), mult(a, c)) = mult(a, mult(mult(a, c), mult(b, a))))),
% 6.08/6.34 inference(unit_resolution,[status(thm)],[13486, 13975, 13459, 342, 119, 6854, 9263, 1362, 1736])).
% 6.08/6.34 tff(14021,plain,
% 6.08/6.34 ((~(mult(mult(a, mult(a, c)), mult(b, a)) = mult(a, mult(mult(b, a), mult(a, c))))) | (~(mult(mult(a, mult(b, a)), mult(a, c)) = mult(a, mult(mult(a, c), mult(b, a)))))),
% 6.08/6.34 inference(unit_resolution,[status(thm)],[11066, 14020])).
% 6.08/6.34 tff(14022,plain,
% 6.08/6.34 (~((~(mult(mult(a, mult(a, c)), mult(b, a)) = mult(a, mult(mult(a, c), mult(b, a))))) | (~(mult(mult(a, mult(b, a)), mult(a, c)) = mult(a, mult(mult(b, a), mult(a, c))))))),
% 6.08/6.34 inference(unit_resolution,[status(thm)],[11064, 14021])).
% 6.08/6.34 tff(14023,plain,
% 6.08/6.34 (mult(mult(a, mult(a, c)), mult(b, a)) = mult(a, mult(mult(a, c), mult(b, a)))),
% 6.08/6.34 inference(unit_resolution,[status(thm)],[13516, 14022])).
% 6.08/6.34 tff(14024,plain,
% 6.08/6.34 (mult(mult(a, mult(a, c)), mult(b, a)) = mult(mult(a, mult(b, mult(c, a))), a)),
% 6.08/6.34 inference(transitivity,[status(thm)],[14023, 13980, 13979])).
% 6.08/6.34 tff(14025,plain,
% 6.08/6.34 ((mult(mult(a, mult(a, c)), mult(b, a)) = mult(a, mult(mult(b, a), mult(a, c)))) <=> (mult(mult(a, mult(b, mult(c, a))), a) = mult(a, mult(mult(b, mult(c, a)), a)))),
% 6.08/6.34 inference(monotonicity,[status(thm)],[14024, 13599])).
% 6.08/6.34 tff(14026,plain,
% 6.08/6.34 ((mult(mult(a, mult(b, mult(c, a))), a) = mult(a, mult(mult(b, mult(c, a)), a))) <=> (mult(mult(a, mult(a, c)), mult(b, a)) = mult(a, mult(mult(b, a), mult(a, c))))),
% 6.08/6.34 inference(symmetry,[status(thm)],[14025])).
% 6.08/6.34 tff(14027,plain,
% 6.08/6.34 ((mult(mult(a, mult(b, mult(c, a))), a) = mult(a, mult(mult(b, mult(c, a)), a))) <=> (mult(mult(mult(a, a), c), mult(b, a)) = mult(mult(a, a), mult(mult(b, a), c)))),
% 6.08/6.34 inference(transitivity,[status(thm)],[14026, 14019])).
% 6.08/6.34 tff(14028,plain,
% 6.08/6.34 ((~(mult(mult(a, mult(b, mult(c, a))), a) = mult(a, mult(mult(b, mult(c, a)), a)))) <=> (~(mult(mult(mult(a, a), c), mult(b, a)) = mult(mult(a, a), mult(mult(b, a), c))))),
% 6.08/6.34 inference(monotonicity,[status(thm)],[14027])).
% 6.08/6.34 tff(14029,plain,
% 6.08/6.34 (~(mult(mult(mult(a, a), c), mult(b, a)) = mult(mult(a, a), mult(mult(b, a), c)))),
% 6.08/6.34 inference(modus_ponens,[status(thm)],[13972, 14028])).
% 6.08/6.34 tff(14030,plain,
% 6.08/6.34 ((~(mult(mult(mult(a, a), c), mult(b, a)) = mult(mult(a, a), mult(mult(b, a), c)))) | (~(mult(mult(mult(a, a), mult(b, a)), c) = mult(mult(a, a), mult(c, mult(b, a)))))),
% 6.08/6.34 inference(unit_resolution,[status(thm)],[13498, 14029])).
% 6.08/6.34 tff(14031,plain,
% 6.08/6.34 (~((~(mult(mult(mult(a, a), c), mult(b, a)) = mult(mult(a, a), mult(c, mult(b, a))))) | (~(mult(mult(mult(a, a), mult(b, a)), c) = mult(mult(a, a), mult(mult(b, a), c)))))),
% 6.08/6.34 inference(unit_resolution,[status(thm)],[11117, 14030])).
% 6.08/6.34 tff(14032,plain,
% 6.08/6.34 (mult(mult(mult(a, a), mult(b, a)), c) = mult(mult(a, a), mult(mult(b, a), c))),
% 6.08/6.34 inference(unit_resolution,[status(thm)],[13495, 14031])).
% 6.08/6.34 tff(14033,plain,
% 6.08/6.34 (mult(mult(mult(a, a), b), mult(c, a)) = mult(mult(a, a), mult(b, mult(c, a)))),
% 6.08/6.34 inference(modus_ponens,[status(thm)],[14032, 13678])).
% 6.08/6.34 tff(14034,plain,
% 6.08/6.34 (mult(mult(a, mult(a, b)), mult(c, a)) = mult(mult(a, mult(mult(a, b), a)), c)),
% 6.08/6.34 inference(transitivity,[status(thm)],[10892, 12487, 12438])).
% 6.08/6.34 tff(14035,plain,
% 6.08/6.34 ((mult(mult(a, mult(a, b)), mult(c, a)) = mult(a, mult(mult(a, b), mult(c, a)))) <=> (mult(mult(a, mult(mult(a, b), a)), c) = mult(a, mult(mult(mult(a, b), a), c)))),
% 6.08/6.34 inference(monotonicity,[status(thm)],[14034, 11860])).
% 6.08/6.34 tff(14036,plain,
% 6.08/6.34 ((mult(mult(a, mult(mult(a, b), a)), c) = mult(a, mult(mult(mult(a, b), a), c))) <=> (mult(mult(a, mult(a, b)), mult(c, a)) = mult(a, mult(mult(a, b), mult(c, a))))),
% 6.08/6.34 inference(symmetry,[status(thm)],[14035])).
% 6.08/6.34 tff(14037,plain,
% 6.08/6.34 (mult(mult(a, mult(mult(a, b), a)), c) = mult(a, mult(mult(mult(a, b), a), c))),
% 6.08/6.34 inference(unit_resolution,[status(thm)],[10858, 13978])).
% 6.08/6.34 tff(14038,plain,
% 6.08/6.34 (mult(mult(a, mult(a, b)), mult(c, a)) = mult(a, mult(mult(a, b), mult(c, a)))),
% 6.08/6.34 inference(modus_ponens,[status(thm)],[14037, 14036])).
% 6.08/6.34 tff(14039,plain,
% 6.08/6.34 ((mult(mult(a, a), mult(mult(b, a), c)) = mult(mult(mult(a, a), mult(b, a)), c)) <=> (mult(mult(mult(a, a), mult(b, a)), c) = mult(mult(a, a), mult(mult(b, a), c)))),
% 6.08/6.34 inference(commutativity,[status(thm)],[])).
% 6.08/6.34 tff(14040,plain,
% 6.08/6.34 (mult(a, mult(mult(mult(a, b), a), c)) = mult(mult(a, mult(mult(a, b), a)), c)),
% 6.08/6.34 inference(symmetry,[status(thm)],[14037])).
% 6.08/6.34 tff(14041,plain,
% 6.08/6.34 (mult(a, mult(a, mult(mult(c, a), b))) = mult(a, mult(mult(mult(a, b), a), c))),
% 6.08/6.34 inference(monotonicity,[status(thm)],[13477])).
% 6.08/6.34 tff(14042,plain,
% 6.08/6.34 (mult(a, mult(a, mult(mult(c, a), b))) = mult(mult(mult(a, a), mult(b, a)), c)),
% 6.08/6.34 inference(transitivity,[status(thm)],[14041, 14040, 11958])).
% 6.08/6.34 tff(14043,plain,
% 6.08/6.34 (mult(a, mult(mult(b, mult(c, a)), a)) = mult(mult(a, a), mult(b, mult(c, a)))),
% 6.08/6.34 inference(symmetry,[status(thm)],[14012])).
% 6.08/6.34 tff(14044,plain,
% 6.08/6.34 (mult(mult(a, b), mult(mult(a, c), a)) = mult(mult(mult(a, b), a), mult(a, c))),
% 6.08/6.34 inference(symmetry,[status(thm)],[13459])).
% 6.08/6.34 tff(14045,plain,
% 6.08/6.34 (mult(mult(a, mult(mult(c, a), b)), a) = mult(mult(a, a), mult(mult(b, a), c))),
% 6.08/6.34 inference(transitivity,[status(thm)],[13478, 11096, 14044, 11016, 13945, 13599, 14043, 13493])).
% 6.08/6.34 tff(14046,plain,
% 6.08/6.34 ((mult(mult(a, mult(mult(c, a), b)), a) = mult(a, mult(a, mult(mult(c, a), b)))) <=> (mult(mult(a, a), mult(mult(b, a), c)) = mult(mult(mult(a, a), mult(b, a)), c))),
% 6.08/6.34 inference(monotonicity,[status(thm)],[14045, 14042])).
% 6.08/6.34 tff(14047,plain,
% 6.08/6.34 ((mult(mult(a, mult(mult(c, a), b)), a) = mult(a, mult(a, mult(mult(c, a), b)))) <=> (mult(mult(mult(a, a), mult(b, a)), c) = mult(mult(a, a), mult(mult(b, a), c)))),
% 6.08/6.34 inference(transitivity,[status(thm)],[14046, 14039])).
% 6.08/6.34 tff(14048,plain,
% 6.08/6.34 ((mult(mult(mult(a, a), mult(b, a)), c) = mult(mult(a, a), mult(mult(b, a), c))) <=> (mult(mult(a, mult(mult(c, a), b)), a) = mult(a, mult(a, mult(mult(c, a), b))))),
% 6.08/6.34 inference(symmetry,[status(thm)],[14047])).
% 6.08/6.34 tff(14049,plain,
% 6.08/6.34 (mult(mult(a, mult(mult(c, a), b)), a) = mult(a, mult(a, mult(mult(c, a), b)))),
% 6.08/6.34 inference(modus_ponens,[status(thm)],[14032, 14048])).
% 6.08/6.34 tff(14050,plain,
% 6.08/6.34 (mult(mult(a, mult(b, mult(c, a))), a) = mult(mult(mult(a, c), mult(b, a)), a)),
% 6.08/6.34 inference(monotonicity,[status(thm)],[13818])).
% 6.08/6.34 tff(14051,plain,
% 6.08/6.34 (mult(a, mult(mult(a, c), mult(b, a))) = mult(a, mult(a, mult(b, mult(c, a))))),
% 6.08/6.34 inference(monotonicity,[status(thm)],[13737])).
% 6.08/6.34 tff(14052,plain,
% 6.08/6.34 (mult(a, mult(mult(a, c), mult(b, a))) = mult(a, mult(c, mult(mult(a, b), a)))),
% 6.08/6.34 inference(transitivity,[status(thm)],[14051, 12185, 14050, 6996, 1531, 10783])).
% 6.08/6.34 tff(14053,plain,
% 6.08/6.34 (ld(a, mult(a, mult(mult(a, c), mult(b, a)))) = ld(a, mult(a, mult(c, mult(mult(a, b), a))))),
% 6.08/6.34 inference(monotonicity,[status(thm)],[14052])).
% 6.08/6.34 tff(14054,plain,
% 6.08/6.34 (ld(a, mult(a, mult(c, mult(mult(a, b), a)))) = ld(a, mult(a, mult(mult(a, c), mult(b, a))))),
% 6.08/6.34 inference(symmetry,[status(thm)],[14053])).
% 6.08/6.34 tff(14055,plain,
% 6.08/6.34 (mult(mult(mult(c, a), b), a) = mult(mult(a, c), mult(b, a))),
% 6.08/6.34 inference(transitivity,[status(thm)],[2807, 13624, 14054, 10815])).
% 6.08/6.34 tff(14056,plain,
% 6.08/6.34 (mult(mult(b, a), mult(mult(mult(c, a), b), a)) = mult(mult(b, a), mult(mult(a, c), mult(b, a)))),
% 6.08/6.34 inference(monotonicity,[status(thm)],[14055])).
% 6.08/6.34 tff(14057,assumption,(mult(mult(a, mult(mult(c, a), b)), a) = mult(a, mult(a, mult(mult(c, a), b)))), introduced(assumption)).
% 6.08/6.34 tff(14058,plain,
% 6.08/6.34 (mult(a, mult(a, mult(mult(c, a), b))) = mult(mult(a, mult(mult(c, a), b)), a)),
% 6.08/6.34 inference(symmetry,[status(thm)],[14057])).
% 6.08/6.34 tff(14059,plain,
% 6.08/6.34 (mult(a, mult(mult(c, a), b)) = mult(mult(a, b), mult(c, a))),
% 6.08/6.34 inference(transitivity,[status(thm)],[352, 2010, 2150, 2431])).
% 6.08/6.34 tff(14060,plain,
% 6.08/6.34 (mult(a, mult(a, mult(mult(c, a), b))) = mult(a, mult(mult(a, b), mult(c, a)))),
% 6.08/6.34 inference(monotonicity,[status(thm)],[14059])).
% 6.08/6.34 tff(14061,plain,
% 6.08/6.34 (mult(a, mult(mult(a, b), mult(c, a))) = mult(a, mult(a, mult(mult(c, a), b)))),
% 6.08/6.34 inference(symmetry,[status(thm)],[14060])).
% 6.08/6.34 tff(14062,plain,
% 6.08/6.34 (mult(mult(mult(a, a), b), mult(c, a)) = mult(mult(a, mult(mult(c, a), b)), a)),
% 6.18/6.34 inference(transitivity,[status(thm)],[13689, 10903, 14061, 14058])).
% 6.18/6.34 tff(14063,plain,
% 6.18/6.34 (mult(b, mult(mult(mult(a, a), b), mult(c, a))) = mult(b, mult(mult(a, mult(mult(c, a), b)), a))),
% 6.18/6.34 inference(monotonicity,[status(thm)],[14062])).
% 6.18/6.34 tff(14064,plain,
% 6.18/6.34 (mult(mult(a, mult(a, b)), mult(c, a)) = mult(mult(mult(a, a), b), mult(c, a))),
% 6.18/6.34 inference(symmetry,[status(thm)],[13689])).
% 6.18/6.34 tff(14065,plain,
% 6.18/6.34 (mult(a, mult(mult(mult(a, b), a), c)) = mult(mult(mult(a, a), b), mult(c, a))),
% 6.18/6.34 inference(transitivity,[status(thm)],[13663, 11859, 14064])).
% 6.18/6.34 tff(14066,plain,
% 6.18/6.34 (mult(b, mult(a, mult(mult(mult(a, b), a), c))) = mult(b, mult(mult(mult(a, a), b), mult(c, a)))),
% 6.18/6.34 inference(monotonicity,[status(thm)],[14065])).
% 6.18/6.34 tff(14067,plain,
% 6.18/6.34 (mult(b, mult(a, mult(mult(mult(a, b), a), c))) = mult(mult(mult(b, a), mult(a, c)), mult(b, a))),
% 6.18/6.34 inference(transitivity,[status(thm)],[14066, 14063, 11399, 11398, 14056, 11166])).
% 6.18/6.34 tff(14068,plain,
% 6.18/6.34 (mult(a, mult(mult(a, b), mult(c, a))) = mult(a, mult(mult(mult(a, b), a), c))),
% 6.18/6.34 inference(symmetry,[status(thm)],[13663])).
% 6.18/6.34 tff(14069,assumption,(mult(mult(a, a), mult(b, mult(c, a))) = mult(a, mult(mult(b, mult(c, a)), a))), introduced(assumption)).
% 6.18/6.34 tff(14070,plain,
% 6.18/6.34 (mult(a, mult(mult(b, mult(c, a)), a)) = mult(mult(a, a), mult(b, mult(c, a)))),
% 6.18/6.34 inference(symmetry,[status(thm)],[14069])).
% 6.18/6.34 tff(14071,plain,
% 6.18/6.34 (mult(a, mult(mult(b, mult(c, a)), a)) = mult(a, mult(mult(mult(a, b), a), c))),
% 6.18/6.34 inference(transitivity,[status(thm)],[14070, 13691, 13689, 10903, 14068])).
% 6.18/6.34 tff(14072,plain,
% 6.18/6.34 (ld(a, mult(a, mult(mult(b, mult(c, a)), a))) = ld(a, mult(a, mult(mult(mult(a, b), a), c)))),
% 6.18/6.34 inference(monotonicity,[status(thm)],[14071])).
% 6.18/6.34 tff(14073,plain,
% 6.18/6.34 (ld(a, mult(a, mult(mult(mult(a, b), a), c))) = ld(a, mult(a, mult(mult(b, mult(c, a)), a)))),
% 6.18/6.34 inference(symmetry,[status(thm)],[14072])).
% 6.18/6.34 tff(14074,plain,
% 6.18/6.34 (mult(mult(mult(a, b), a), c) = mult(mult(b, a), mult(a, c))),
% 6.18/6.34 inference(transitivity,[status(thm)],[11988, 14073, 13582, 4657, 5731])).
% 6.18/6.34 tff(14075,plain,
% 6.18/6.34 (mult(mult(b, a), mult(mult(mult(a, b), a), c)) = mult(mult(b, a), mult(mult(b, a), mult(a, c)))),
% 6.18/6.34 inference(monotonicity,[status(thm)],[14074])).
% 6.18/6.34 tff(14076,plain,
% 6.18/6.34 ((mult(mult(b, a), mult(mult(mult(a, b), a), c)) = mult(b, mult(a, mult(mult(mult(a, b), a), c)))) <=> (mult(mult(b, a), mult(mult(b, a), mult(a, c))) = mult(mult(mult(b, a), mult(a, c)), mult(b, a)))),
% 6.18/6.34 inference(monotonicity,[status(thm)],[14075, 14067])).
% 6.18/6.34 tff(14077,plain,
% 6.18/6.34 ((mult(mult(b, a), mult(mult(mult(a, b), a), c)) = mult(b, mult(a, mult(mult(mult(a, b), a), c)))) <=> (mult(mult(mult(b, a), mult(a, c)), mult(b, a)) = mult(mult(b, a), mult(mult(b, a), mult(a, c))))),
% 6.18/6.34 inference(transitivity,[status(thm)],[14076, 11173])).
% 6.18/6.34 tff(14078,plain,
% 6.18/6.34 ((mult(mult(mult(b, a), mult(a, c)), mult(b, a)) = mult(mult(b, a), mult(mult(b, a), mult(a, c)))) <=> (mult(mult(b, a), mult(mult(mult(a, b), a), c)) = mult(b, mult(a, mult(mult(mult(a, b), a), c))))),
% 6.18/6.34 inference(symmetry,[status(thm)],[14077])).
% 6.18/6.34 tff(14079,plain,
% 6.18/6.34 ((~(mult(mult(mult(b, a), mult(a, c)), mult(b, a)) = mult(mult(b, a), mult(mult(b, a), mult(a, c))))) <=> (~(mult(mult(b, a), mult(mult(mult(a, b), a), c)) = mult(b, mult(a, mult(mult(mult(a, b), a), c)))))),
% 6.18/6.34 inference(monotonicity,[status(thm)],[14078])).
% 6.18/6.34 tff(14080,plain,
% 6.18/6.34 (~(mult(mult(b, a), mult(mult(mult(a, b), a), c)) = mult(b, mult(a, mult(mult(mult(a, b), a), c))))),
% 6.18/6.34 inference(modus_ponens,[status(thm)],[11136, 14079])).
% 6.18/6.34 tff(14081,plain,
% 6.18/6.34 ((~(mult(mult(b, a), mult(mult(mult(a, b), a), c)) = mult(b, mult(a, mult(mult(mult(a, b), a), c))))) | (~(mult(mult(b, mult(mult(mult(a, b), a), c)), a) = mult(b, mult(mult(mult(mult(a, b), a), c), a))))),
% 6.18/6.34 inference(unit_resolution,[status(thm)],[13191, 14080])).
% 6.18/6.34 tff(14082,plain,
% 6.18/6.34 (mult(b, mult(mult(mult(a, a), b), mult(c, a))) = mult(b, mult(a, mult(mult(mult(a, b), a), c)))),
% 6.18/6.34 inference(symmetry,[status(thm)],[14066])).
% 6.18/6.34 tff(14083,plain,
% 6.18/6.34 (mult(mult(mult(a, b), a), c) = mult(a, mult(mult(c, a), b))),
% 6.18/6.34 inference(transitivity,[status(thm)],[13425, 2009, 2096])).
% 6.18/6.34 tff(14084,plain,
% 6.18/6.34 (mult(mult(mult(mult(a, b), a), c), a) = mult(mult(a, mult(mult(c, a), b)), a)),
% 6.18/6.34 inference(monotonicity,[status(thm)],[14083])).
% 6.18/6.34 tff(14085,plain,
% 6.18/6.34 (mult(mult(mult(mult(a, b), a), c), a) = mult(mult(mult(a, a), b), mult(c, a))),
% 6.18/6.34 inference(transitivity,[status(thm)],[14084, 14057, 14060, 11859, 14064])).
% 6.18/6.34 tff(14086,plain,
% 6.18/6.34 (mult(b, mult(mult(mult(mult(a, b), a), c), a)) = mult(b, mult(mult(mult(a, a), b), mult(c, a)))),
% 6.18/6.34 inference(monotonicity,[status(thm)],[14085])).
% 6.18/6.34 tff(14087,plain,
% 6.18/6.34 (mult(b, mult(mult(mult(mult(a, b), a), c), a)) = mult(b, mult(a, mult(mult(mult(a, b), a), c)))),
% 6.18/6.34 inference(transitivity,[status(thm)],[14086, 14082])).
% 6.18/6.34 tff(14088,plain,
% 6.18/6.34 ((mult(mult(b, a), mult(mult(mult(a, b), a), c)) = mult(b, mult(mult(mult(mult(a, b), a), c), a))) <=> (mult(mult(b, a), mult(mult(mult(a, b), a), c)) = mult(b, mult(a, mult(mult(mult(a, b), a), c))))),
% 6.18/6.34 inference(monotonicity,[status(thm)],[14087])).
% 6.18/6.34 tff(14089,plain,
% 6.18/6.34 ((mult(mult(b, a), mult(mult(mult(a, b), a), c)) = mult(b, mult(a, mult(mult(mult(a, b), a), c)))) <=> (mult(mult(b, a), mult(mult(mult(a, b), a), c)) = mult(b, mult(mult(mult(mult(a, b), a), c), a)))),
% 6.18/6.34 inference(symmetry,[status(thm)],[14088])).
% 6.18/6.34 tff(14090,plain,
% 6.18/6.34 ((mult(mult(mult(b, a), mult(a, c)), mult(b, a)) = mult(mult(b, a), mult(mult(b, a), mult(a, c)))) <=> (mult(mult(b, a), mult(mult(mult(a, b), a), c)) = mult(b, mult(mult(mult(mult(a, b), a), c), a)))),
% 6.18/6.34 inference(transitivity,[status(thm)],[14078, 14089])).
% 6.18/6.34 tff(14091,plain,
% 6.18/6.34 ((~(mult(mult(mult(b, a), mult(a, c)), mult(b, a)) = mult(mult(b, a), mult(mult(b, a), mult(a, c))))) <=> (~(mult(mult(b, a), mult(mult(mult(a, b), a), c)) = mult(b, mult(mult(mult(mult(a, b), a), c), a))))),
% 6.18/6.34 inference(monotonicity,[status(thm)],[14090])).
% 6.18/6.34 tff(14092,plain,
% 6.18/6.34 (~(mult(mult(b, a), mult(mult(mult(a, b), a), c)) = mult(b, mult(mult(mult(mult(a, b), a), c), a)))),
% 6.18/6.34 inference(modus_ponens,[status(thm)],[11136, 14091])).
% 6.18/6.34 tff(14093,plain,
% 6.18/6.34 ((~(mult(mult(b, mult(mult(mult(a, b), a), c)), a) = mult(b, mult(a, mult(mult(mult(a, b), a), c))))) | (~(mult(mult(b, a), mult(mult(mult(a, b), a), c)) = mult(b, mult(mult(mult(mult(a, b), a), c), a))))),
% 6.18/6.34 inference(unit_resolution,[status(thm)],[13177, 14092])).
% 6.18/6.34 tff(14094,plain,
% 6.18/6.34 ($false),
% 6.18/6.34 inference(unit_resolution,[status(thm)],[13189, 14093, 14081])).
% 6.18/6.34 tff(14095,plain,((~(mult(mult(mult(b, a), mult(mult(c, a), b)), a) = mult(mult(b, a), mult(mult(mult(c, a), b), a)))) | (mult(mult(mult(b, a), mult(a, c)), mult(b, a)) = mult(mult(b, a), mult(mult(b, a), mult(a, c)))) | (~(mult(mult(a, mult(b, mult(c, a))), a) = mult(a, mult(a, mult(b, mult(c, a)))))) | (~(mult(mult(a, c), mult(mult(a, b), a)) = mult(a, mult(c, mult(mult(a, b), a))))) | (~(mult(mult(mult(a, c), a), b) = mult(mult(a, c), mult(b, a)))) | (~(mult(mult(a, c), mult(b, a)) = mult(a, mult(mult(b, a), c)))) | (~(mult(mult(a, mult(a, b)), mult(c, a)) = mult(a, mult(mult(a, b), mult(c, a))))) | (~(mult(mult(a, mult(mult(c, a), b)), a) = mult(a, mult(a, mult(mult(c, a), b))))) | (~(mult(mult(mult(a, b), a), c) = mult(mult(a, b), mult(c, a)))) | (~(mult(mult(a, mult(b, a)), c) = mult(a, mult(c, mult(b, a))))) | (~(mult(mult(a, b), a) = mult(a, mult(b, a)))) | (~(mult(mult(c, a), b) = mult(c, mult(b, a)))) | (~(mult(mult(a, a), b) = mult(a, mult(a, b)))) | (~(mult(mult(mult(b, a), c), a) = mult(mult(b, a), mult(a, c)))) | (~(mult(mult(a, a), mult(b, mult(c, a))) = mult(a, mult(mult(b, mult(c, a)), a)))) | (~(mult(mult(mult(a, a), b), mult(c, a)) = mult(mult(a, a), mult(b, mult(c, a)))))), inference(lemma,lemma(discharge,[]))).
% 6.18/6.34 tff(14096,plain,
% 6.18/6.34 ((~(mult(mult(mult(b, a), mult(mult(c, a), b)), a) = mult(mult(b, a), mult(mult(mult(c, a), b), a)))) | (mult(mult(mult(b, a), mult(a, c)), mult(b, a)) = mult(mult(b, a), mult(mult(b, a), mult(a, c)))) | (~(mult(mult(a, mult(b, mult(c, a))), a) = mult(a, mult(a, mult(b, mult(c, a)))))) | (~(mult(mult(a, c), mult(mult(a, b), a)) = mult(a, mult(c, mult(mult(a, b), a))))) | (~(mult(mult(mult(a, c), a), b) = mult(mult(a, c), mult(b, a)))) | (~(mult(mult(a, c), mult(b, a)) = mult(a, mult(mult(b, a), c)))) | (~(mult(mult(a, mult(a, b)), mult(c, a)) = mult(a, mult(mult(a, b), mult(c, a))))) | (~(mult(mult(a, mult(mult(c, a), b)), a) = mult(a, mult(a, mult(mult(c, a), b))))) | (~(mult(mult(mult(a, b), a), c) = mult(mult(a, b), mult(c, a)))) | (~(mult(mult(a, mult(b, a)), c) = mult(a, mult(c, mult(b, a))))) | (~(mult(mult(a, b), a) = mult(a, mult(b, a)))) | (~(mult(mult(c, a), b) = mult(c, mult(b, a)))) | (~(mult(mult(mult(b, a), c), a) = mult(mult(b, a), mult(a, c)))) | (~(mult(mult(a, a), mult(b, mult(c, a))) = mult(a, mult(mult(b, mult(c, a)), a)))) | (~(mult(mult(mult(a, a), b), mult(c, a)) = mult(mult(a, a), mult(b, mult(c, a)))))),
% 6.18/6.35 inference(unit_resolution,[status(thm)],[14095, 4190])).
% 6.18/6.35 tff(14097,plain,
% 6.18/6.35 ((~(mult(mult(mult(b, a), mult(mult(c, a), b)), a) = mult(mult(b, a), mult(mult(mult(c, a), b), a)))) | (mult(mult(mult(b, a), mult(a, c)), mult(b, a)) = mult(mult(b, a), mult(mult(b, a), mult(a, c)))) | (~(mult(mult(a, mult(b, mult(c, a))), a) = mult(a, mult(a, mult(b, mult(c, a)))))) | (~(mult(mult(a, c), mult(mult(a, b), a)) = mult(a, mult(c, mult(mult(a, b), a))))) | (~(mult(mult(mult(a, c), a), b) = mult(mult(a, c), mult(b, a)))) | (~(mult(mult(a, c), mult(b, a)) = mult(a, mult(mult(b, a), c)))) | (~(mult(mult(a, mult(a, b)), mult(c, a)) = mult(a, mult(mult(a, b), mult(c, a))))) | (~(mult(mult(a, mult(mult(c, a), b)), a) = mult(a, mult(a, mult(mult(c, a), b))))) | (~(mult(mult(mult(a, b), a), c) = mult(mult(a, b), mult(c, a)))) | (~(mult(mult(a, mult(b, a)), c) = mult(a, mult(c, mult(b, a))))) | (~(mult(mult(c, a), b) = mult(c, mult(b, a)))) | (~(mult(mult(a, a), mult(b, mult(c, a))) = mult(a, mult(mult(b, mult(c, a)), a)))) | (~(mult(mult(mult(a, a), b), mult(c, a)) = mult(mult(a, a), mult(b, mult(c, a)))))),
% 6.18/6.35 inference(unit_resolution,[status(thm)],[14096, 4193, 3530])).
% 6.18/6.35 tff(14098,plain,
% 6.18/6.35 ((~(mult(mult(mult(b, a), mult(mult(c, a), b)), a) = mult(mult(b, a), mult(mult(mult(c, a), b), a)))) | (mult(mult(mult(b, a), mult(a, c)), mult(b, a)) = mult(mult(b, a), mult(mult(b, a), mult(a, c)))) | (~(mult(mult(a, mult(b, mult(c, a))), a) = mult(a, mult(a, mult(b, mult(c, a)))))) | (~(mult(mult(a, c), mult(mult(a, b), a)) = mult(a, mult(c, mult(mult(a, b), a))))) | (~(mult(mult(mult(a, c), a), b) = mult(mult(a, c), mult(b, a)))) | (~(mult(mult(a, c), mult(b, a)) = mult(a, mult(mult(b, a), c)))) | (~(mult(mult(a, mult(a, b)), mult(c, a)) = mult(a, mult(mult(a, b), mult(c, a))))) | (~(mult(mult(a, mult(mult(c, a), b)), a) = mult(a, mult(a, mult(mult(c, a), b))))) | (~(mult(mult(a, mult(b, a)), c) = mult(a, mult(c, mult(b, a))))) | (~(mult(mult(c, a), b) = mult(c, mult(b, a)))) | (~(mult(mult(a, a), mult(b, mult(c, a))) = mult(a, mult(mult(b, mult(c, a)), a)))) | (~(mult(mult(mult(a, a), b), mult(c, a)) = mult(mult(a, a), mult(b, mult(c, a)))))),
% 6.18/6.35 inference(unit_resolution,[status(thm)],[14097, 9222])).
% 6.18/6.35 tff(14099,plain,
% 6.18/6.35 (~(mult(mult(mult(b, a), mult(mult(c, a), b)), a) = mult(mult(b, a), mult(mult(mult(c, a), b), a)))),
% 6.18/6.35 inference(unit_resolution,[status(thm)],[14098, 14049, 13275, 13978, 1362, 13975, 14038, 11136, 218, 342, 14012, 14033])).
% 6.18/6.35 tff(14100,plain,
% 6.18/6.35 ((~(mult(mult(mult(b, a), mult(mult(c, a), b)), a) = mult(mult(b, a), mult(mult(mult(c, a), b), a)))) | (~(mult(mult(mult(b, a), a), mult(mult(c, a), b)) = mult(mult(b, a), mult(a, mult(mult(c, a), b)))))),
% 6.18/6.35 inference(unit_resolution,[status(thm)],[12222, 14099])).
% 6.18/6.35 tff(14101,plain,
% 6.18/6.35 (~((~(mult(mult(mult(b, a), a), mult(mult(c, a), b)) = mult(mult(b, a), mult(mult(mult(c, a), b), a)))) | (~(mult(mult(mult(b, a), mult(mult(c, a), b)), a) = mult(mult(b, a), mult(a, mult(mult(c, a), b))))))),
% 6.18/6.35 inference(unit_resolution,[status(thm)],[12220, 14100])).
% 6.18/6.35 tff(14102,plain,
% 6.18/6.35 (mult(mult(mult(b, a), mult(mult(c, a), b)), a) = mult(mult(b, a), mult(a, mult(mult(c, a), b)))),
% 6.18/6.35 inference(unit_resolution,[status(thm)],[11210, 14101])).
% 6.18/6.35 tff(14103,plain,
% 6.18/6.35 (mult(mult(mult(mult(a, b), a), c), a) = mult(mult(a, mult(mult(c, a), b)), a)),
% 6.18/6.35 inference(symmetry,[status(thm)],[13478])).
% 6.18/6.35 tff(14104,plain,
% 6.18/6.35 (mult(b, mult(mult(mult(mult(a, b), a), c), a)) = mult(b, mult(mult(a, mult(mult(c, a), b)), a))),
% 6.18/6.35 inference(monotonicity,[status(thm)],[14103])).
% 6.18/6.35 tff(14105,plain,
% 6.18/6.35 (mult(a, mult(mult(b, a), mult(a, c))) = mult(mult(a, mult(b, a)), mult(a, c))),
% 6.18/6.35 inference(symmetry,[status(thm)],[13945])).
% 6.18/6.35 tff(14106,plain,
% 6.18/6.35 (mult(mult(a, mult(mult(a, b), a)), c) = mult(mult(mult(mult(a, b), a), c), a)),
% 6.18/6.35 inference(transitivity,[status(thm)],[11958, 14032, 13492, 14012, 13598, 14105, 11015, 13459, 11097])).
% 6.18/6.35 tff(14107,plain,
% 6.18/6.35 (mult(b, mult(mult(a, mult(mult(a, b), a)), c)) = mult(b, mult(mult(mult(mult(a, b), a), c), a))),
% 6.18/6.35 inference(monotonicity,[status(thm)],[14106])).
% 6.18/6.35 tff(14108,plain,
% 6.18/6.35 (mult(b, mult(mult(a, mult(mult(a, b), a)), c)) = mult(mult(b, mult(c, a)), mult(a, mult(b, a)))),
% 6.18/6.35 inference(transitivity,[status(thm)],[14107, 14104, 11399, 14102, 14011, 14010, 11155, 4196])).
% 6.18/6.35 tff(14109,plain,
% 6.18/6.35 (mult(mult(b, mult(a, mult(mult(a, b), a))), c) = mult(mult(mult(b, mult(c, a)), a), mult(b, a))),
% 6.18/6.35 inference(transitivity,[status(thm)],[14008, 13996, 11223, 13985, 11166, 3535])).
% 6.18/6.35 tff(14110,plain,
% 6.18/6.35 ((mult(mult(b, mult(a, mult(mult(a, b), a))), c) = mult(b, mult(mult(a, mult(mult(a, b), a)), c))) <=> (mult(mult(mult(b, mult(c, a)), a), mult(b, a)) = mult(mult(b, mult(c, a)), mult(a, mult(b, a))))),
% 6.18/6.35 inference(monotonicity,[status(thm)],[14109, 14108])).
% 6.18/6.35 tff(14111,plain,
% 6.18/6.35 ((mult(mult(mult(b, mult(c, a)), a), mult(b, a)) = mult(mult(b, mult(c, a)), mult(a, mult(b, a)))) <=> (mult(mult(b, mult(a, mult(mult(a, b), a))), c) = mult(b, mult(mult(a, mult(mult(a, b), a)), c)))),
% 6.18/6.35 inference(symmetry,[status(thm)],[14110])).
% 6.18/6.35 tff(14112,plain,
% 6.18/6.35 ((~(mult(mult(mult(b, mult(c, a)), a), mult(b, a)) = mult(mult(b, mult(c, a)), mult(a, mult(b, a))))) <=> (~(mult(mult(b, mult(a, mult(mult(a, b), a))), c) = mult(b, mult(mult(a, mult(mult(a, b), a)), c))))),
% 6.18/6.35 inference(monotonicity,[status(thm)],[14111])).
% 6.18/6.35 tff(14113,plain,
% 6.18/6.35 (~(mult(mult(b, mult(a, mult(mult(a, b), a))), c) = mult(b, mult(mult(a, mult(mult(a, b), a)), c)))),
% 6.18/6.35 inference(modus_ponens,[status(thm)],[10726, 14112])).
% 6.18/6.35 tff(14114,plain,
% 6.18/6.35 (((~(mult(mult(b, c), mult(a, mult(mult(a, b), a))) = mult(b, mult(c, mult(a, mult(mult(a, b), a)))))) | (~(mult(mult(b, mult(a, mult(mult(a, b), a))), c) = mult(b, mult(mult(a, mult(mult(a, b), a)), c))))) | (mult(mult(b, mult(a, mult(mult(a, b), a))), c) = mult(b, mult(mult(a, mult(mult(a, b), a)), c)))),
% 6.18/6.35 inference(tautology,[status(thm)],[])).
% 6.18/6.35 tff(14115,plain,
% 6.18/6.35 ((~(mult(mult(b, c), mult(a, mult(mult(a, b), a))) = mult(b, mult(c, mult(a, mult(mult(a, b), a)))))) | (~(mult(mult(b, mult(a, mult(mult(a, b), a))), c) = mult(b, mult(mult(a, mult(mult(a, b), a)), c))))),
% 6.18/6.35 inference(unit_resolution,[status(thm)],[14114, 14113])).
% 6.18/6.35 tff(14116,plain,
% 6.18/6.35 (((~![X0: $i, X1: $i, X2: $i] : ((~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X2, X1)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X1, X2)))))) | (~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X1, X2)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X2, X1)))))))) | ((~((~(mult(mult(b, c), mult(a, mult(mult(a, b), a))) = mult(b, mult(mult(a, mult(mult(a, b), a)), c)))) | (~(mult(mult(b, mult(a, mult(mult(a, b), a))), c) = mult(b, mult(c, mult(a, mult(mult(a, b), a)))))))) | (~((~(mult(mult(b, c), mult(a, mult(mult(a, b), a))) = mult(b, mult(c, mult(a, mult(mult(a, b), a)))))) | (~(mult(mult(b, mult(a, mult(mult(a, b), a))), c) = mult(b, mult(mult(a, mult(mult(a, b), a)), c)))))))) <=> ((~![X0: $i, X1: $i, X2: $i] : ((~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X2, X1)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X1, X2)))))) | (~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X1, X2)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X2, X1)))))))) | (~((~(mult(mult(b, c), mult(a, mult(mult(a, b), a))) = mult(b, mult(mult(a, mult(mult(a, b), a)), c)))) | (~(mult(mult(b, mult(a, mult(mult(a, b), a))), c) = mult(b, mult(c, mult(a, mult(mult(a, b), a)))))))) | (~((~(mult(mult(b, c), mult(a, mult(mult(a, b), a))) = mult(b, mult(c, mult(a, mult(mult(a, b), a)))))) | (~(mult(mult(b, mult(a, mult(mult(a, b), a))), c) = mult(b, mult(mult(a, mult(mult(a, b), a)), c)))))))),
% 6.18/6.35 inference(rewrite,[status(thm)],[])).
% 6.18/6.35 tff(14117,plain,
% 6.18/6.35 (((~((~(mult(mult(b, c), mult(a, mult(mult(a, b), a))) = mult(b, mult(mult(a, mult(mult(a, b), a)), c)))) | (~(mult(mult(b, mult(a, mult(mult(a, b), a))), c) = mult(b, mult(c, mult(a, mult(mult(a, b), a)))))))) | (~((~(mult(mult(b, c), mult(a, mult(mult(a, b), a))) = mult(b, mult(c, mult(a, mult(mult(a, b), a)))))) | (~(mult(mult(b, mult(a, mult(mult(a, b), a))), c) = mult(b, mult(mult(a, mult(mult(a, b), a)), c))))))) <=> ((~((~(mult(mult(b, c), mult(a, mult(mult(a, b), a))) = mult(b, mult(mult(a, mult(mult(a, b), a)), c)))) | (~(mult(mult(b, mult(a, mult(mult(a, b), a))), c) = mult(b, mult(c, mult(a, mult(mult(a, b), a)))))))) | (~((~(mult(mult(b, c), mult(a, mult(mult(a, b), a))) = mult(b, mult(c, mult(a, mult(mult(a, b), a)))))) | (~(mult(mult(b, mult(a, mult(mult(a, b), a))), c) = mult(b, mult(mult(a, mult(mult(a, b), a)), c)))))))),
% 6.18/6.35 inference(rewrite,[status(thm)],[])).
% 6.18/6.35 tff(14118,plain,
% 6.18/6.35 ((~((~(mult(mult(b, mult(a, mult(mult(a, b), a))), c) = mult(b, mult(mult(a, mult(mult(a, b), a)), c)))) | (~(mult(mult(b, c), mult(a, mult(mult(a, b), a))) = mult(b, mult(c, mult(a, mult(mult(a, b), a)))))))) <=> (~((~(mult(mult(b, c), mult(a, mult(mult(a, b), a))) = mult(b, mult(c, mult(a, mult(mult(a, b), a)))))) | (~(mult(mult(b, mult(a, mult(mult(a, b), a))), c) = mult(b, mult(mult(a, mult(mult(a, b), a)), c))))))),
% 6.18/6.35 inference(rewrite,[status(thm)],[])).
% 6.18/6.35 tff(14119,plain,
% 6.18/6.35 ((~((~(mult(mult(b, mult(a, mult(mult(a, b), a))), c) = mult(b, mult(c, mult(a, mult(mult(a, b), a)))))) | (~(mult(mult(b, c), mult(a, mult(mult(a, b), a))) = mult(b, mult(mult(a, mult(mult(a, b), a)), c)))))) <=> (~((~(mult(mult(b, c), mult(a, mult(mult(a, b), a))) = mult(b, mult(mult(a, mult(mult(a, b), a)), c)))) | (~(mult(mult(b, mult(a, mult(mult(a, b), a))), c) = mult(b, mult(c, mult(a, mult(mult(a, b), a))))))))),
% 6.18/6.35 inference(rewrite,[status(thm)],[])).
% 6.18/6.35 tff(14120,plain,
% 6.18/6.35 (((~((~(mult(mult(b, mult(a, mult(mult(a, b), a))), c) = mult(b, mult(c, mult(a, mult(mult(a, b), a)))))) | (~(mult(mult(b, c), mult(a, mult(mult(a, b), a))) = mult(b, mult(mult(a, mult(mult(a, b), a)), c)))))) | (~((~(mult(mult(b, mult(a, mult(mult(a, b), a))), c) = mult(b, mult(mult(a, mult(mult(a, b), a)), c)))) | (~(mult(mult(b, c), mult(a, mult(mult(a, b), a))) = mult(b, mult(c, mult(a, mult(mult(a, b), a))))))))) <=> ((~((~(mult(mult(b, c), mult(a, mult(mult(a, b), a))) = mult(b, mult(mult(a, mult(mult(a, b), a)), c)))) | (~(mult(mult(b, mult(a, mult(mult(a, b), a))), c) = mult(b, mult(c, mult(a, mult(mult(a, b), a)))))))) | (~((~(mult(mult(b, c), mult(a, mult(mult(a, b), a))) = mult(b, mult(c, mult(a, mult(mult(a, b), a)))))) | (~(mult(mult(b, mult(a, mult(mult(a, b), a))), c) = mult(b, mult(mult(a, mult(mult(a, b), a)), c)))))))),
% 6.18/6.35 inference(monotonicity,[status(thm)],[14119, 14118])).
% 6.18/6.35 tff(14121,plain,
% 6.18/6.35 (((~((~(mult(mult(b, mult(a, mult(mult(a, b), a))), c) = mult(b, mult(c, mult(a, mult(mult(a, b), a)))))) | (~(mult(mult(b, c), mult(a, mult(mult(a, b), a))) = mult(b, mult(mult(a, mult(mult(a, b), a)), c)))))) | (~((~(mult(mult(b, mult(a, mult(mult(a, b), a))), c) = mult(b, mult(mult(a, mult(mult(a, b), a)), c)))) | (~(mult(mult(b, c), mult(a, mult(mult(a, b), a))) = mult(b, mult(c, mult(a, mult(mult(a, b), a))))))))) <=> ((~((~(mult(mult(b, c), mult(a, mult(mult(a, b), a))) = mult(b, mult(mult(a, mult(mult(a, b), a)), c)))) | (~(mult(mult(b, mult(a, mult(mult(a, b), a))), c) = mult(b, mult(c, mult(a, mult(mult(a, b), a)))))))) | (~((~(mult(mult(b, c), mult(a, mult(mult(a, b), a))) = mult(b, mult(c, mult(a, mult(mult(a, b), a)))))) | (~(mult(mult(b, mult(a, mult(mult(a, b), a))), c) = mult(b, mult(mult(a, mult(mult(a, b), a)), c)))))))),
% 6.18/6.35 inference(transitivity,[status(thm)],[14120, 14117])).
% 6.18/6.35 tff(14122,plain,
% 6.18/6.35 (((~![X0: $i, X1: $i, X2: $i] : ((~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X2, X1)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X1, X2)))))) | (~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X1, X2)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X2, X1)))))))) | ((~((~(mult(mult(b, mult(a, mult(mult(a, b), a))), c) = mult(b, mult(c, mult(a, mult(mult(a, b), a)))))) | (~(mult(mult(b, c), mult(a, mult(mult(a, b), a))) = mult(b, mult(mult(a, mult(mult(a, b), a)), c)))))) | (~((~(mult(mult(b, mult(a, mult(mult(a, b), a))), c) = mult(b, mult(mult(a, mult(mult(a, b), a)), c)))) | (~(mult(mult(b, c), mult(a, mult(mult(a, b), a))) = mult(b, mult(c, mult(a, mult(mult(a, b), a)))))))))) <=> ((~![X0: $i, X1: $i, X2: $i] : ((~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X2, X1)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X1, X2)))))) | (~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X1, X2)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X2, X1)))))))) | ((~((~(mult(mult(b, c), mult(a, mult(mult(a, b), a))) = mult(b, mult(mult(a, mult(mult(a, b), a)), c)))) | (~(mult(mult(b, mult(a, mult(mult(a, b), a))), c) = mult(b, mult(c, mult(a, mult(mult(a, b), a)))))))) | (~((~(mult(mult(b, c), mult(a, mult(mult(a, b), a))) = mult(b, mult(c, mult(a, mult(mult(a, b), a)))))) | (~(mult(mult(b, mult(a, mult(mult(a, b), a))), c) = mult(b, mult(mult(a, mult(mult(a, b), a)), c))))))))),
% 6.18/6.36 inference(monotonicity,[status(thm)],[14121])).
% 6.18/6.36 tff(14123,plain,
% 6.18/6.36 (((~![X0: $i, X1: $i, X2: $i] : ((~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X2, X1)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X1, X2)))))) | (~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X1, X2)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X2, X1)))))))) | ((~((~(mult(mult(b, mult(a, mult(mult(a, b), a))), c) = mult(b, mult(c, mult(a, mult(mult(a, b), a)))))) | (~(mult(mult(b, c), mult(a, mult(mult(a, b), a))) = mult(b, mult(mult(a, mult(mult(a, b), a)), c)))))) | (~((~(mult(mult(b, mult(a, mult(mult(a, b), a))), c) = mult(b, mult(mult(a, mult(mult(a, b), a)), c)))) | (~(mult(mult(b, c), mult(a, mult(mult(a, b), a))) = mult(b, mult(c, mult(a, mult(mult(a, b), a)))))))))) <=> ((~![X0: $i, X1: $i, X2: $i] : ((~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X2, X1)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X1, X2)))))) | (~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X1, X2)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X2, X1)))))))) | (~((~(mult(mult(b, c), mult(a, mult(mult(a, b), a))) = mult(b, mult(mult(a, mult(mult(a, b), a)), c)))) | (~(mult(mult(b, mult(a, mult(mult(a, b), a))), c) = mult(b, mult(c, mult(a, mult(mult(a, b), a)))))))) | (~((~(mult(mult(b, c), mult(a, mult(mult(a, b), a))) = mult(b, mult(c, mult(a, mult(mult(a, b), a)))))) | (~(mult(mult(b, mult(a, mult(mult(a, b), a))), c) = mult(b, mult(mult(a, mult(mult(a, b), a)), c)))))))),
% 6.18/6.36 inference(transitivity,[status(thm)],[14122, 14116])).
% 6.18/6.36 tff(14124,plain,
% 6.18/6.36 ((~![X0: $i, X1: $i, X2: $i] : ((~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X2, X1)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X1, X2)))))) | (~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X1, X2)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X2, X1)))))))) | ((~((~(mult(mult(b, mult(a, mult(mult(a, b), a))), c) = mult(b, mult(c, mult(a, mult(mult(a, b), a)))))) | (~(mult(mult(b, c), mult(a, mult(mult(a, b), a))) = mult(b, mult(mult(a, mult(mult(a, b), a)), c)))))) | (~((~(mult(mult(b, mult(a, mult(mult(a, b), a))), c) = mult(b, mult(mult(a, mult(mult(a, b), a)), c)))) | (~(mult(mult(b, c), mult(a, mult(mult(a, b), a))) = mult(b, mult(c, mult(a, mult(mult(a, b), a)))))))))),
% 6.18/6.36 inference(quant_inst,[status(thm)],[])).
% 6.18/6.36 tff(14125,plain,
% 6.18/6.36 ((~![X0: $i, X1: $i, X2: $i] : ((~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X2, X1)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X1, X2)))))) | (~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X1, X2)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X2, X1)))))))) | (~((~(mult(mult(b, c), mult(a, mult(mult(a, b), a))) = mult(b, mult(mult(a, mult(mult(a, b), a)), c)))) | (~(mult(mult(b, mult(a, mult(mult(a, b), a))), c) = mult(b, mult(c, mult(a, mult(mult(a, b), a)))))))) | (~((~(mult(mult(b, c), mult(a, mult(mult(a, b), a))) = mult(b, mult(c, mult(a, mult(mult(a, b), a)))))) | (~(mult(mult(b, mult(a, mult(mult(a, b), a))), c) = mult(b, mult(mult(a, mult(mult(a, b), a)), c))))))),
% 6.18/6.36 inference(modus_ponens,[status(thm)],[14124, 14123])).
% 6.18/6.36 tff(14126,plain,
% 6.18/6.36 ((~((~(mult(mult(b, c), mult(a, mult(mult(a, b), a))) = mult(b, mult(mult(a, mult(mult(a, b), a)), c)))) | (~(mult(mult(b, mult(a, mult(mult(a, b), a))), c) = mult(b, mult(c, mult(a, mult(mult(a, b), a)))))))) | (~((~(mult(mult(b, c), mult(a, mult(mult(a, b), a))) = mult(b, mult(c, mult(a, mult(mult(a, b), a)))))) | (~(mult(mult(b, mult(a, mult(mult(a, b), a))), c) = mult(b, mult(mult(a, mult(mult(a, b), a)), c))))))),
% 6.18/6.36 inference(unit_resolution,[status(thm)],[14125, 30])).
% 6.18/6.36 tff(14127,plain,
% 6.18/6.36 (~((~(mult(mult(b, c), mult(a, mult(mult(a, b), a))) = mult(b, mult(mult(a, mult(mult(a, b), a)), c)))) | (~(mult(mult(b, mult(a, mult(mult(a, b), a))), c) = mult(b, mult(c, mult(a, mult(mult(a, b), a)))))))),
% 6.18/6.36 inference(unit_resolution,[status(thm)],[14126, 14115])).
% 6.18/6.36 tff(14128,plain,
% 6.18/6.36 (((~(mult(mult(b, c), mult(a, mult(mult(a, b), a))) = mult(b, mult(mult(a, mult(mult(a, b), a)), c)))) | (~(mult(mult(b, mult(a, mult(mult(a, b), a))), c) = mult(b, mult(c, mult(a, mult(mult(a, b), a))))))) | (mult(mult(b, mult(a, mult(mult(a, b), a))), c) = mult(b, mult(c, mult(a, mult(mult(a, b), a)))))),
% 6.18/6.36 inference(tautology,[status(thm)],[])).
% 6.18/6.36 tff(14129,plain,
% 6.18/6.36 (mult(mult(b, mult(a, mult(mult(a, b), a))), c) = mult(b, mult(c, mult(a, mult(mult(a, b), a))))),
% 6.18/6.36 inference(unit_resolution,[status(thm)],[14128, 14127])).
% 6.18/6.36 tff(14130,plain,
% 6.18/6.36 (mult(b, mult(c, mult(a, mult(mult(a, b), a)))) = mult(mult(b, mult(a, mult(mult(a, b), a))), c)),
% 6.18/6.36 inference(symmetry,[status(thm)],[14129])).
% 6.18/6.36 tff(14131,plain,
% 6.18/6.36 (mult(c, mult(a, mult(mult(a, b), a))) = mult(c, mult(mult(mult(a, a), b), a))),
% 6.18/6.36 inference(monotonicity,[status(thm)],[14004])).
% 6.18/6.36 tff(14132,plain,
% 6.18/6.36 (mult(c, mult(mult(mult(a, a), b), a)) = mult(c, mult(a, mult(mult(a, b), a)))),
% 6.18/6.36 inference(symmetry,[status(thm)],[14131])).
% 6.18/6.36 tff(14133,plain,
% 6.18/6.36 (mult(c, mult(mult(a, mult(a, b)), a)) = mult(c, mult(mult(mult(a, a), b), a))),
% 6.18/6.36 inference(symmetry,[status(thm)],[9355])).
% 6.18/6.36 tff(14134,plain,
% 6.18/6.36 (mult(c, mult(mult(a, b), a)) = mult(mult(a, c), mult(b, a))),
% 6.18/6.36 inference(transitivity,[status(thm)],[13624, 13983, 10815])).
% 6.18/6.36 tff(14135,plain,
% 6.18/6.36 (mult(mult(c, mult(mult(a, b), a)), a) = mult(mult(mult(a, c), mult(b, a)), a)),
% 6.18/6.36 inference(monotonicity,[status(thm)],[14134])).
% 6.18/6.36 tff(14136,plain,
% 6.18/6.36 (mult(mult(mult(a, c), mult(b, a)), a) = mult(mult(c, mult(mult(a, b), a)), a)),
% 6.18/6.36 inference(symmetry,[status(thm)],[14135])).
% 6.18/6.36 tff(14137,plain,
% 6.18/6.36 (mult(mult(a, c), mult(mult(a, b), a)) = mult(c, mult(a, mult(mult(a, b), a)))),
% 6.18/6.36 inference(transitivity,[status(thm)],[10732, 11500, 14136, 9321, 7605, 14133, 14132])).
% 6.18/6.36 tff(14138,plain,
% 6.18/6.36 (mult(b, mult(mult(a, c), mult(mult(a, b), a))) = mult(b, mult(c, mult(a, mult(mult(a, b), a))))),
% 6.18/6.36 inference(monotonicity,[status(thm)],[14137])).
% 6.18/6.36 tff(14139,plain,
% 6.18/6.36 (mult(b, mult(mult(mult(a, c), a), mult(a, b))) = mult(b, mult(mult(a, c), mult(mult(a, b), a)))),
% 6.18/6.36 inference(monotonicity,[status(thm)],[6854])).
% 6.18/6.36 tff(14140,plain,
% 6.18/6.36 (mult(b, mult(mult(a, c), mult(mult(a, b), a))) = mult(b, mult(mult(mult(a, c), a), mult(a, b)))),
% 6.18/6.36 inference(symmetry,[status(thm)],[14139])).
% 6.18/6.36 tff(14141,plain,
% 6.18/6.36 (mult(a, mult(mult(mult(a, b), a), c)) = mult(a, mult(mult(b, a), mult(a, c)))),
% 6.18/6.36 inference(transitivity,[status(thm)],[14040, 11958, 14032, 13492, 14012, 13598])).
% 6.18/6.36 tff(14142,plain,
% 6.18/6.36 (ld(a, mult(a, mult(mult(mult(a, b), a), c))) = ld(a, mult(a, mult(mult(b, a), mult(a, c))))),
% 6.18/6.36 inference(monotonicity,[status(thm)],[14141])).
% 6.18/6.36 tff(14143,plain,
% 6.18/6.36 (ld(a, mult(a, mult(mult(b, a), mult(a, c)))) = ld(a, mult(a, mult(mult(mult(a, b), a), c)))),
% 6.18/6.36 inference(symmetry,[status(thm)],[14142])).
% 6.18/6.36 tff(14144,plain,
% 6.18/6.36 (mult(mult(b, a), mult(a, c)) = mult(mult(mult(a, b), a), c)),
% 6.18/6.36 inference(transitivity,[status(thm)],[12189, 14143, 11987])).
% 6.18/6.36 tff(14145,plain,
% 6.18/6.36 (mult(mult(b, a), mult(mult(b, a), mult(a, c))) = mult(mult(b, a), mult(mult(mult(a, b), a), c))),
% 6.18/6.36 inference(monotonicity,[status(thm)],[14144])).
% 6.18/6.36 tff(14146,plain,
% 6.18/6.36 (mult(mult(b, mult(mult(a, b), a)), mult(a, c)) = mult(mult(b, mult(mult(a, c), a)), mult(a, b))),
% 6.18/6.36 inference(transitivity,[status(thm)],[12042, 11176, 14145, 14010, 11155, 7884, 11596, 11316, 11595])).
% 6.18/6.36 tff(14147,plain,
% 6.18/6.36 ((mult(mult(b, mult(mult(a, b), a)), mult(a, c)) = mult(b, mult(mult(a, c), mult(mult(a, b), a)))) <=> (mult(mult(b, mult(mult(a, c), a)), mult(a, b)) = mult(b, mult(mult(mult(a, c), a), mult(a, b))))),
% 6.18/6.36 inference(monotonicity,[status(thm)],[14146, 14140])).
% 6.18/6.36 tff(14148,plain,
% 6.18/6.36 ((mult(mult(b, mult(mult(a, c), a)), mult(a, b)) = mult(b, mult(mult(mult(a, c), a), mult(a, b)))) <=> (mult(mult(b, mult(mult(a, b), a)), mult(a, c)) = mult(b, mult(mult(a, c), mult(mult(a, b), a))))),
% 6.18/6.36 inference(symmetry,[status(thm)],[14147])).
% 6.18/6.36 tff(14149,plain,
% 6.18/6.36 (mult(b, mult(mult(mult(a, c), a), mult(a, b))) = mult(mult(mult(b, mult(c, a)), a), mult(b, a))),
% 6.18/6.36 inference(transitivity,[status(thm)],[14139, 14138, 14130, 14008, 13996, 11223, 13985, 11166, 3535])).
% 6.18/6.36 tff(14150,plain,
% 6.18/6.36 ((mult(mult(b, mult(mult(a, c), a)), mult(a, b)) = mult(b, mult(mult(mult(a, c), a), mult(a, b)))) <=> (mult(mult(b, mult(c, a)), mult(a, mult(b, a))) = mult(mult(mult(b, mult(c, a)), a), mult(b, a)))),
% 6.18/6.36 inference(monotonicity,[status(thm)],[11586, 14149])).
% 6.18/6.36 tff(14151,plain,
% 6.18/6.36 ((mult(mult(b, mult(mult(a, c), a)), mult(a, b)) = mult(b, mult(mult(mult(a, c), a), mult(a, b)))) <=> (mult(mult(mult(b, mult(c, a)), a), mult(b, a)) = mult(mult(b, mult(c, a)), mult(a, mult(b, a))))),
% 6.18/6.36 inference(transitivity,[status(thm)],[14150, 2])).
% 6.18/6.36 tff(14152,plain,
% 6.18/6.36 ((mult(mult(mult(b, mult(c, a)), a), mult(b, a)) = mult(mult(b, mult(c, a)), mult(a, mult(b, a)))) <=> (mult(mult(b, mult(mult(a, c), a)), mult(a, b)) = mult(b, mult(mult(mult(a, c), a), mult(a, b))))),
% 6.18/6.36 inference(symmetry,[status(thm)],[14151])).
% 6.18/6.36 tff(14153,plain,
% 6.18/6.36 ((mult(mult(mult(b, mult(c, a)), a), mult(b, a)) = mult(mult(b, mult(c, a)), mult(a, mult(b, a)))) <=> (mult(mult(b, mult(mult(a, b), a)), mult(a, c)) = mult(b, mult(mult(a, c), mult(mult(a, b), a))))),
% 6.18/6.36 inference(transitivity,[status(thm)],[14152, 14148])).
% 6.18/6.36 tff(14154,plain,
% 6.18/6.36 ((~(mult(mult(mult(b, mult(c, a)), a), mult(b, a)) = mult(mult(b, mult(c, a)), mult(a, mult(b, a))))) <=> (~(mult(mult(b, mult(mult(a, b), a)), mult(a, c)) = mult(b, mult(mult(a, c), mult(mult(a, b), a)))))),
% 6.18/6.36 inference(monotonicity,[status(thm)],[14153])).
% 6.18/6.36 tff(14155,plain,
% 6.18/6.36 (~(mult(mult(b, mult(mult(a, b), a)), mult(a, c)) = mult(b, mult(mult(a, c), mult(mult(a, b), a))))),
% 6.18/6.36 inference(modus_ponens,[status(thm)],[10726, 14154])).
% 6.18/6.36 tff(14156,plain,
% 6.18/6.36 ((~(mult(mult(b, mult(a, c)), mult(mult(a, b), a)) = mult(b, mult(mult(mult(a, b), a), mult(a, c))))) | (~(mult(mult(b, mult(mult(a, b), a)), mult(a, c)) = mult(b, mult(mult(a, c), mult(mult(a, b), a)))))),
% 6.18/6.36 inference(unit_resolution,[status(thm)],[11187, 14155])).
% 6.18/6.36 tff(14157,plain,
% 6.18/6.36 (~((~(mult(mult(b, mult(a, c)), mult(mult(a, b), a)) = mult(b, mult(mult(a, c), mult(mult(a, b), a))))) | (~(mult(mult(b, mult(mult(a, b), a)), mult(a, c)) = mult(b, mult(mult(mult(a, b), a), mult(a, c))))))),
% 6.18/6.36 inference(unit_resolution,[status(thm)],[11195, 14156])).
% 6.18/6.36 tff(14158,plain,
% 6.18/6.36 (mult(mult(b, mult(a, c)), mult(mult(a, b), a)) = mult(b, mult(mult(a, c), mult(mult(a, b), a)))),
% 6.18/6.36 inference(unit_resolution,[status(thm)],[11197, 14157])).
% 6.18/6.36 tff(14159,plain,
% 6.18/6.36 (mult(mult(mult(b, c), a), mult(mult(a, b), a)) = mult(mult(mult(a, b), c), mult(mult(a, b), a))),
% 6.18/6.36 inference(transitivity,[status(thm)],[11199, 14158, 14138, 14130, 14008, 13996, 11223, 13985, 11166, 7849, 13561, 7202, 11795, 11794])).
% 6.18/6.36 tff(14160,plain,
% 6.18/6.36 (rd(mult(mult(mult(b, c), a), mult(mult(a, b), a)), mult(mult(a, b), a)) = rd(mult(mult(mult(a, b), c), mult(mult(a, b), a)), mult(mult(a, b), a))),
% 6.18/6.36 inference(monotonicity,[status(thm)],[14159])).
% 6.18/6.36 tff(14161,plain,
% 6.18/6.36 (mult(mult(b, c), a) = mult(mult(a, b), c)),
% 6.18/6.36 inference(transitivity,[status(thm)],[11204, 14160, 11920])).
% 6.18/6.36 tff(14162,plain,
% 6.18/6.37 (mult(mult(mult(b, c), a), a) = mult(mult(mult(a, b), c), a)),
% 6.18/6.37 inference(monotonicity,[status(thm)],[14161])).
% 6.18/6.37 tff(14163,plain,
% 6.18/6.37 (mult(b, mult(a, mult(a, c))) = mult(mult(mult(a, b), c), a)),
% 6.18/6.37 inference(transitivity,[status(thm)],[5329, 5318, 14162])).
% 6.18/6.37 tff(14164,plain,
% 6.18/6.37 (mult(mult(b, mult(a, mult(a, c))), b) = mult(mult(mult(mult(a, b), c), a), b)),
% 6.18/6.37 inference(monotonicity,[status(thm)],[14163])).
% 6.18/6.37 tff(14165,plain,
% 6.18/6.37 (mult(mult(mult(mult(a, b), c), a), b) = mult(mult(b, mult(a, mult(a, c))), b)),
% 6.18/6.37 inference(symmetry,[status(thm)],[14164])).
% 6.18/6.37 tff(14166,plain,
% 6.18/6.37 (mult(a, mult(mult(mult(mult(a, b), c), a), b)) = mult(a, mult(mult(b, mult(a, mult(a, c))), b))),
% 6.18/6.37 inference(monotonicity,[status(thm)],[14165])).
% 6.18/6.37 tff(14167,plain,
% 6.18/6.37 (mult(a, mult(a, mult(mult(mult(b, c), a), b))) = mult(a, mult(mult(mult(mult(a, b), c), a), b))),
% 6.18/6.37 inference(monotonicity,[status(thm)],[6142])).
% 6.18/6.37 tff(14168,plain,
% 6.18/6.37 (mult(a, mult(a, mult(mult(mult(b, c), a), b))) = mult(mult(mult(mult(a, b), c), a), mult(b, a))),
% 6.18/6.37 inference(transitivity,[status(thm)],[14167, 14166, 5972, 13558, 13550])).
% 6.18/6.37 tff(14169,plain,
% 6.18/6.37 ((mult(mult(a, mult(mult(mult(b, c), a), b)), a) = mult(a, mult(a, mult(mult(mult(b, c), a), b)))) <=> (mult(mult(mult(mult(mult(a, b), c), a), b), a) = mult(mult(mult(mult(a, b), c), a), mult(b, a)))),
% 6.18/6.37 inference(monotonicity,[status(thm)],[11795, 14168])).
% 6.18/6.37 tff(14170,plain,
% 6.18/6.37 ((mult(mult(mult(mult(mult(a, b), c), a), b), a) = mult(mult(mult(mult(a, b), c), a), mult(b, a))) <=> (mult(mult(a, mult(mult(mult(b, c), a), b)), a) = mult(a, mult(a, mult(mult(mult(b, c), a), b))))),
% 6.18/6.37 inference(symmetry,[status(thm)],[14169])).
% 6.18/6.37 tff(14171,plain,
% 6.18/6.37 ((~(mult(mult(mult(mult(mult(a, b), c), a), b), a) = mult(mult(mult(mult(a, b), c), a), mult(b, a)))) <=> (~(mult(mult(a, mult(mult(mult(b, c), a), b)), a) = mult(a, mult(a, mult(mult(mult(b, c), a), b)))))),
% 6.18/6.37 inference(monotonicity,[status(thm)],[14170])).
% 6.18/6.37 tff(14172,plain,
% 6.18/6.37 (~(mult(mult(a, mult(mult(mult(b, c), a), b)), a) = mult(a, mult(a, mult(mult(mult(b, c), a), b))))),
% 6.18/6.37 inference(modus_ponens,[status(thm)],[13546, 14171])).
% 6.18/6.37 tff(14173,plain,
% 6.18/6.37 ((~(mult(mult(a, a), mult(mult(mult(b, c), a), b)) = mult(a, mult(mult(mult(mult(b, c), a), b), a)))) | (~(mult(mult(a, mult(mult(mult(b, c), a), b)), a) = mult(a, mult(a, mult(mult(mult(b, c), a), b)))))),
% 6.18/6.37 inference(unit_resolution,[status(thm)],[6173, 14172])).
% 6.18/6.37 tff(14174,plain,
% 6.18/6.37 (~((~(mult(mult(a, a), mult(mult(mult(b, c), a), b)) = mult(a, mult(a, mult(mult(mult(b, c), a), b))))) | (~(mult(mult(a, mult(mult(mult(b, c), a), b)), a) = mult(a, mult(mult(mult(mult(b, c), a), b), a)))))),
% 6.18/6.37 inference(unit_resolution,[status(thm)],[6181, 14173])).
% 6.18/6.37 tff(14175,plain,
% 6.18/6.37 (((~(mult(mult(a, a), mult(mult(mult(b, c), a), b)) = mult(a, mult(a, mult(mult(mult(b, c), a), b))))) | (~(mult(mult(a, mult(mult(mult(b, c), a), b)), a) = mult(a, mult(mult(mult(mult(b, c), a), b), a))))) | (mult(mult(a, mult(mult(mult(b, c), a), b)), a) = mult(a, mult(mult(mult(mult(b, c), a), b), a)))),
% 6.18/6.37 inference(tautology,[status(thm)],[])).
% 6.18/6.37 tff(14176,plain,
% 6.18/6.37 (mult(mult(a, mult(mult(mult(b, c), a), b)), a) = mult(a, mult(mult(mult(mult(b, c), a), b), a))),
% 6.18/6.37 inference(unit_resolution,[status(thm)],[14175, 14174])).
% 6.18/6.37 tff(14177,plain,
% 6.18/6.37 (mult(a, mult(mult(mult(mult(b, c), a), b), a)) = mult(mult(a, mult(mult(mult(b, c), a), b)), a)),
% 6.18/6.37 inference(symmetry,[status(thm)],[14176])).
% 6.18/6.37 tff(14178,plain,
% 6.18/6.37 ((~![B: $i, A: $i] : (rd(mult(A, B), B) = A)) | (rd(mult(mult(mult(mult(mult(b, c), a), b), a), a), a) = mult(mult(mult(mult(b, c), a), b), a))),
% 6.18/6.37 inference(quant_inst,[status(thm)],[])).
% 6.18/6.37 tff(14179,plain,
% 6.18/6.37 (rd(mult(mult(mult(mult(mult(b, c), a), b), a), a), a) = mult(mult(mult(mult(b, c), a), b), a)),
% 6.18/6.37 inference(unit_resolution,[status(thm)],[14178, 72])).
% 6.18/6.37 tff(14180,plain,
% 6.18/6.37 (((~(mult(mult(b, c), mult(a, mult(mult(a, b), a))) = mult(b, mult(mult(a, mult(mult(a, b), a)), c)))) | (~(mult(mult(b, mult(a, mult(mult(a, b), a))), c) = mult(b, mult(c, mult(a, mult(mult(a, b), a))))))) | (mult(mult(b, c), mult(a, mult(mult(a, b), a))) = mult(b, mult(mult(a, mult(mult(a, b), a)), c)))),
% 6.18/6.37 inference(tautology,[status(thm)],[])).
% 6.18/6.37 tff(14181,plain,
% 6.18/6.37 (mult(mult(b, c), mult(a, mult(mult(a, b), a))) = mult(b, mult(mult(a, mult(mult(a, b), a)), c))),
% 6.18/6.37 inference(unit_resolution,[status(thm)],[14180, 14127])).
% 6.18/6.37 tff(14182,plain,
% 6.18/6.37 (mult(mult(b, c), mult(a, mult(mult(a, b), a))) = mult(mult(b, mult(c, a)), mult(a, mult(b, a)))),
% 6.18/6.37 inference(transitivity,[status(thm)],[14181, 14107, 14104, 11399, 14102, 14011, 14010, 11155, 4196])).
% 6.18/6.37 tff(14183,plain,
% 6.18/6.37 (mult(mult(mult(b, c), a), mult(mult(a, b), a)) = mult(mult(mult(b, mult(c, a)), a), mult(b, a))),
% 6.18/6.37 inference(transitivity,[status(thm)],[11199, 14158, 14138, 14130, 14008, 13996, 11223, 13985, 11166, 3535])).
% 6.18/6.37 tff(14184,plain,
% 6.18/6.37 ((mult(mult(mult(b, c), a), mult(mult(a, b), a)) = mult(mult(b, c), mult(a, mult(mult(a, b), a)))) <=> (mult(mult(mult(b, mult(c, a)), a), mult(b, a)) = mult(mult(b, mult(c, a)), mult(a, mult(b, a))))),
% 6.18/6.37 inference(monotonicity,[status(thm)],[14183, 14182])).
% 6.18/6.37 tff(14185,plain,
% 6.18/6.37 ((mult(mult(mult(b, mult(c, a)), a), mult(b, a)) = mult(mult(b, mult(c, a)), mult(a, mult(b, a)))) <=> (mult(mult(mult(b, c), a), mult(mult(a, b), a)) = mult(mult(b, c), mult(a, mult(mult(a, b), a))))),
% 6.18/6.37 inference(symmetry,[status(thm)],[14184])).
% 6.18/6.37 tff(14186,plain,
% 6.18/6.37 ((~(mult(mult(mult(b, mult(c, a)), a), mult(b, a)) = mult(mult(b, mult(c, a)), mult(a, mult(b, a))))) <=> (~(mult(mult(mult(b, c), a), mult(mult(a, b), a)) = mult(mult(b, c), mult(a, mult(mult(a, b), a)))))),
% 6.18/6.37 inference(monotonicity,[status(thm)],[14185])).
% 6.18/6.37 tff(14187,plain,
% 6.18/6.37 (~(mult(mult(mult(b, c), a), mult(mult(a, b), a)) = mult(mult(b, c), mult(a, mult(mult(a, b), a))))),
% 6.18/6.37 inference(modus_ponens,[status(thm)],[10726, 14186])).
% 6.18/6.37 tff(14188,plain,
% 6.18/6.37 ((~(mult(mult(mult(b, c), mult(mult(a, b), a)), a) = mult(mult(b, c), mult(mult(mult(a, b), a), a)))) | (~(mult(mult(mult(b, c), a), mult(mult(a, b), a)) = mult(mult(b, c), mult(a, mult(mult(a, b), a)))))),
% 6.18/6.37 inference(unit_resolution,[status(thm)],[7696, 14187])).
% 6.18/6.37 tff(14189,plain,
% 6.18/6.37 (~((~(mult(mult(mult(b, c), a), mult(mult(a, b), a)) = mult(mult(b, c), mult(mult(mult(a, b), a), a)))) | (~(mult(mult(mult(b, c), mult(mult(a, b), a)), a) = mult(mult(b, c), mult(a, mult(mult(a, b), a))))))),
% 6.18/6.37 inference(unit_resolution,[status(thm)],[7704, 14188])).
% 6.18/6.37 tff(14190,plain,
% 6.18/6.37 (((~(mult(mult(mult(b, c), a), mult(mult(a, b), a)) = mult(mult(b, c), mult(mult(mult(a, b), a), a)))) | (~(mult(mult(mult(b, c), mult(mult(a, b), a)), a) = mult(mult(b, c), mult(a, mult(mult(a, b), a)))))) | (mult(mult(mult(b, c), mult(mult(a, b), a)), a) = mult(mult(b, c), mult(a, mult(mult(a, b), a))))),
% 6.18/6.37 inference(tautology,[status(thm)],[])).
% 6.18/6.37 tff(14191,plain,
% 6.18/6.37 (mult(mult(mult(b, c), mult(mult(a, b), a)), a) = mult(mult(b, c), mult(a, mult(mult(a, b), a)))),
% 6.18/6.37 inference(unit_resolution,[status(thm)],[14190, 14189])).
% 6.18/6.37 tff(14192,plain,
% 6.18/6.37 ((~![C: $i, B: $i, A: $i] : (mult(mult(mult(A, B), C), B) = mult(A, mult(mult(B, C), B)))) | (mult(mult(mult(mult(b, c), a), b), a) = mult(mult(b, c), mult(mult(a, b), a)))),
% 6.18/6.37 inference(quant_inst,[status(thm)],[])).
% 6.18/6.37 tff(14193,plain,
% 6.18/6.37 (mult(mult(mult(mult(b, c), a), b), a) = mult(mult(b, c), mult(mult(a, b), a))),
% 6.18/6.37 inference(unit_resolution,[status(thm)],[14192, 860])).
% 6.18/6.37 tff(14194,plain,
% 6.18/6.37 (mult(mult(mult(mult(mult(b, c), a), b), a), a) = mult(mult(mult(b, c), mult(mult(a, b), a)), a)),
% 6.18/6.37 inference(monotonicity,[status(thm)],[14193])).
% 6.18/6.37 tff(14195,plain,
% 6.18/6.37 (mult(mult(mult(mult(mult(b, c), a), b), a), a) = mult(mult(mult(mult(b, a), mult(a, c)), b), a)),
% 6.18/6.37 inference(transitivity,[status(thm)],[14194, 14191, 14181, 14107, 14104, 11399, 14102, 14011, 14010, 11155, 7884, 11596])).
% 6.18/6.37 tff(14196,plain,
% 6.18/6.37 (rd(mult(mult(mult(mult(mult(b, c), a), b), a), a), a) = rd(mult(mult(mult(mult(b, a), mult(a, c)), b), a), a)),
% 6.18/6.37 inference(monotonicity,[status(thm)],[14195])).
% 6.18/6.37 tff(14197,plain,
% 6.18/6.37 (rd(mult(mult(mult(mult(b, a), mult(a, c)), b), a), a) = rd(mult(mult(mult(mult(mult(b, c), a), b), a), a), a)),
% 6.18/6.37 inference(symmetry,[status(thm)],[14196])).
% 6.18/6.37 tff(14198,plain,
% 6.18/6.37 (mult(mult(b, a), mult(a, c)) = mult(mult(a, b), mult(c, a))),
% 6.18/6.37 inference(transitivity,[status(thm)],[12189, 14143, 11987, 9222])).
% 6.18/6.37 tff(14199,plain,
% 6.18/6.37 (mult(mult(mult(b, a), mult(a, c)), b) = mult(mult(mult(a, b), mult(c, a)), b)),
% 6.18/6.37 inference(monotonicity,[status(thm)],[14198])).
% 6.18/6.37 tff(14200,plain,
% 6.18/6.37 (mult(mult(mult(a, b), mult(c, a)), b) = mult(mult(mult(b, a), mult(a, c)), b)),
% 6.18/6.37 inference(symmetry,[status(thm)],[14199])).
% 6.18/6.37 tff(14201,plain,
% 6.18/6.37 (mult(a, mult(mult(b, mult(c, a)), b)) = mult(mult(mult(mult(b, c), a), b), a)),
% 6.18/6.37 inference(transitivity,[status(thm)],[11830, 14200, 7855, 14197, 14179])).
% 6.18/6.37 tff(14202,plain,
% 6.18/6.37 (mult(a, mult(a, mult(mult(b, mult(c, a)), b))) = mult(a, mult(mult(mult(mult(b, c), a), b), a))),
% 6.18/6.37 inference(monotonicity,[status(thm)],[14201])).
% 6.18/6.37 tff(14203,plain,
% 6.18/6.37 ((~![B: $i, A: $i] : (rd(mult(A, B), B) = A)) | (rd(mult(mult(mult(mult(a, b), a), c), b), b) = mult(mult(mult(a, b), a), c))),
% 6.18/6.37 inference(quant_inst,[status(thm)],[])).
% 6.18/6.37 tff(14204,plain,
% 6.18/6.37 (rd(mult(mult(mult(mult(a, b), a), c), b), b) = mult(mult(mult(a, b), a), c)),
% 6.18/6.37 inference(unit_resolution,[status(thm)],[14203, 72])).
% 6.18/6.37 tff(14205,plain,
% 6.18/6.37 (mult(a, mult(a, mult(b, mult(c, a)))) = mult(a, mult(mult(a, c), mult(b, a)))),
% 6.18/6.37 inference(symmetry,[status(thm)],[13695])).
% 6.18/6.37 tff(14206,plain,
% 6.18/6.37 (mult(a, mult(mult(mult(a, b), a), c)) = mult(a, mult(mult(a, c), mult(b, a)))),
% 6.18/6.37 inference(transitivity,[status(thm)],[13405, 1532, 6997, 13682, 11969, 14205])).
% 6.18/6.37 tff(14207,plain,
% 6.18/6.37 (ld(a, mult(a, mult(mult(mult(a, b), a), c))) = ld(a, mult(a, mult(mult(a, c), mult(b, a))))),
% 6.18/6.37 inference(monotonicity,[status(thm)],[14206])).
% 6.18/6.37 tff(14208,plain,
% 6.18/6.37 (ld(a, mult(a, mult(mult(a, c), mult(b, a)))) = ld(a, mult(a, mult(mult(mult(a, b), a), c)))),
% 6.18/6.37 inference(symmetry,[status(thm)],[14207])).
% 6.18/6.37 tff(14209,plain,
% 6.18/6.37 (mult(mult(a, c), mult(b, a)) = mult(a, mult(c, mult(b, a)))),
% 6.18/6.37 inference(transitivity,[status(thm)],[10816, 14208, 11987, 13425, 218])).
% 6.18/6.37 tff(14210,plain,
% 6.18/6.37 ($false),
% 6.18/6.37 inference(unit_resolution,[status(thm)],[119, 14209])).
% 6.18/6.37 tff(14211,plain,((~(mult(mult(a, mult(b, mult(c, a))), a) = mult(a, mult(a, mult(b, mult(c, a)))))) | (mult(mult(a, c), mult(b, a)) = mult(a, mult(c, mult(b, a)))) | (~(mult(mult(a, c), mult(mult(a, b), a)) = mult(a, mult(mult(mult(a, b), a), c)))) | (~(mult(mult(mult(a, c), a), b) = mult(mult(a, c), mult(b, a)))) | (~(mult(mult(a, b), a) = mult(a, mult(b, a))))), inference(lemma,lemma(discharge,[]))).
% 6.18/6.37 tff(14212,plain,
% 6.18/6.37 (~(mult(mult(a, c), mult(mult(a, b), a)) = mult(a, mult(mult(mult(a, b), a), c)))),
% 6.18/6.37 inference(unit_resolution,[status(thm)],[14211, 11969, 119, 1362, 219])).
% 6.18/6.37 tff(14213,plain,
% 6.18/6.37 ((~(mult(mult(a, mult(mult(a, b), a)), c) = mult(a, mult(c, mult(mult(a, b), a))))) | (~(mult(mult(a, c), mult(mult(a, b), a)) = mult(a, mult(mult(mult(a, b), a), c))))),
% 6.18/6.37 inference(unit_resolution,[status(thm)],[10795, 14212])).
% 6.18/6.37 tff(14214,plain,
% 6.18/6.37 (~((~(mult(mult(a, mult(mult(a, b), a)), c) = mult(a, mult(mult(mult(a, b), a), c)))) | (~(mult(mult(a, c), mult(mult(a, b), a)) = mult(a, mult(c, mult(mult(a, b), a))))))),
% 6.18/6.37 inference(unit_resolution,[status(thm)],[10793, 14213])).
% 6.18/6.37 tff(14215,plain,
% 6.18/6.37 (mult(mult(a, c), mult(mult(a, b), a)) = mult(a, mult(c, mult(mult(a, b), a)))),
% 6.18/6.37 inference(unit_resolution,[status(thm)],[10788, 14214])).
% 6.18/6.37 tff(14216,plain,
% 6.18/6.37 (mult(a, mult(mult(a, c), mult(b, a))) = mult(a, mult(c, mult(mult(a, b), a)))),
% 6.18/6.37 inference(transitivity,[status(thm)],[13695, 12185, 13681, 6996, 1531, 14215])).
% 6.18/6.37 tff(14217,plain,
% 6.18/6.37 (ld(a, mult(a, mult(mult(a, c), mult(b, a)))) = ld(a, mult(a, mult(c, mult(mult(a, b), a))))),
% 6.18/6.37 inference(monotonicity,[status(thm)],[14216])).
% 6.18/6.37 tff(14218,plain,
% 6.18/6.37 (ld(a, mult(a, mult(c, mult(mult(a, b), a)))) = ld(a, mult(a, mult(mult(a, c), mult(b, a))))),
% 6.18/6.37 inference(symmetry,[status(thm)],[14217])).
% 6.18/6.37 tff(14219,plain,
% 6.18/6.37 (mult(c, mult(mult(a, b), a)) = mult(mult(a, c), mult(b, a))),
% 6.18/6.37 inference(transitivity,[status(thm)],[13624, 14218, 10815])).
% 6.18/6.37 tff(14220,plain,
% 6.18/6.37 (mult(mult(c, mult(mult(a, b), a)), b) = mult(mult(mult(a, c), mult(b, a)), b)),
% 6.18/6.37 inference(monotonicity,[status(thm)],[14219])).
% 6.18/6.37 tff(14221,plain,
% 6.18/6.37 (mult(mult(mult(a, c), mult(b, a)), b) = mult(mult(c, mult(mult(a, b), a)), b)),
% 6.18/6.37 inference(symmetry,[status(thm)],[14220])).
% 6.18/6.37 tff(14222,plain,
% 6.18/6.37 (mult(mult(mult(a, c), mult(b, a)), b) = mult(mult(a, mult(b, mult(c, a))), b)),
% 6.18/6.37 inference(monotonicity,[status(thm)],[13694])).
% 6.18/6.37 tff(14223,plain,
% 6.18/6.37 (mult(mult(a, mult(b, mult(c, a))), b) = mult(mult(mult(a, c), mult(b, a)), b)),
% 6.18/6.37 inference(symmetry,[status(thm)],[14222])).
% 6.18/6.37 tff(14224,plain,
% 6.18/6.37 (mult(mult(a, b), mult(c, a)) = mult(a, mult(mult(c, a), b))),
% 6.18/6.37 inference(transitivity,[status(thm)],[2432, 13425, 218, 2096])).
% 6.18/6.37 tff(14225,plain,
% 6.18/6.37 (mult(mult(mult(a, b), mult(c, a)), b) = mult(mult(a, mult(mult(c, a), b)), b)),
% 6.18/6.37 inference(monotonicity,[status(thm)],[14224])).
% 6.18/6.37 tff(14226,plain,
% 6.18/6.37 (mult(mult(a, mult(mult(c, a), b)), b) = mult(mult(mult(a, b), mult(c, a)), b)),
% 6.18/6.37 inference(symmetry,[status(thm)],[14225])).
% 6.18/6.37 tff(14227,plain,
% 6.18/6.37 (mult(mult(mult(mult(a, b), a), c), b) = mult(mult(a, mult(mult(c, a), b)), b)),
% 6.18/6.37 inference(monotonicity,[status(thm)],[13431])).
% 6.18/6.37 tff(14228,plain,
% 6.18/6.37 (mult(mult(mult(mult(a, b), a), c), b) = mult(mult(c, mult(mult(a, b), a)), b)),
% 6.18/6.37 inference(transitivity,[status(thm)],[14227, 14226, 11829, 13702, 14223, 14221])).
% 6.18/6.37 tff(14229,plain,
% 6.18/6.37 (rd(mult(mult(mult(mult(a, b), a), c), b), b) = rd(mult(mult(c, mult(mult(a, b), a)), b), b)),
% 6.18/6.37 inference(monotonicity,[status(thm)],[14228])).
% 6.18/6.37 tff(14230,plain,
% 6.18/6.37 (rd(mult(mult(c, mult(mult(a, b), a)), b), b) = rd(mult(mult(mult(mult(a, b), a), c), b), b)),
% 6.18/6.37 inference(symmetry,[status(thm)],[14229])).
% 6.18/6.37 tff(14231,plain,
% 6.18/6.37 (mult(mult(a, c), mult(b, a)) = mult(a, mult(c, mult(b, a)))),
% 6.18/6.37 inference(transitivity,[status(thm)],[10816, 14217, 12147, 13712, 14230, 14204, 13425, 218])).
% 6.18/6.37 tff(14232,plain,
% 6.18/6.37 ($false),
% 6.18/6.37 inference(unit_resolution,[status(thm)],[119, 14231])).
% 6.18/6.37 tff(14233,plain,((~(mult(mult(a, mult(b, mult(c, a))), b) = mult(a, mult(mult(b, mult(c, a)), b)))) | (mult(mult(a, c), mult(b, a)) = mult(a, mult(c, mult(b, a)))) | (~(mult(mult(c, a), b) = mult(c, mult(b, a)))) | (~(mult(mult(mult(a, b), a), c) = mult(mult(a, b), mult(c, a)))) | (~(mult(mult(a, b), a) = mult(a, mult(b, a)))) | (~(mult(mult(a, mult(b, mult(c, a))), a) = mult(a, mult(a, mult(b, mult(c, a)))))) | (~(mult(mult(mult(a, c), a), b) = mult(mult(a, c), mult(b, a))))), inference(lemma,lemma(discharge,[]))).
% 6.18/6.37 tff(14234,plain,
% 6.18/6.37 ((~(mult(mult(a, mult(b, mult(c, a))), b) = mult(a, mult(mult(b, mult(c, a)), b)))) | (mult(mult(a, c), mult(b, a)) = mult(a, mult(c, mult(b, a)))) | (~(mult(mult(c, a), b) = mult(c, mult(b, a)))) | (~(mult(mult(mult(a, b), a), c) = mult(mult(a, b), mult(c, a)))) | (~(mult(mult(a, mult(b, mult(c, a))), a) = mult(a, mult(a, mult(b, mult(c, a)))))) | (~(mult(mult(mult(a, c), a), b) = mult(mult(a, c), mult(b, a))))),
% 6.18/6.37 inference(unit_resolution,[status(thm)],[14233, 4193])).
% 6.18/6.37 tff(14235,plain,
% 6.18/6.37 ((~(mult(mult(a, mult(b, mult(c, a))), b) = mult(a, mult(mult(b, mult(c, a)), b)))) | (mult(mult(a, c), mult(b, a)) = mult(a, mult(c, mult(b, a)))) | (~(mult(mult(c, a), b) = mult(c, mult(b, a)))) | (~(mult(mult(a, mult(b, mult(c, a))), a) = mult(a, mult(a, mult(b, mult(c, a)))))) | (~(mult(mult(mult(a, c), a), b) = mult(mult(a, c), mult(b, a))))),
% 6.18/6.37 inference(unit_resolution,[status(thm)],[14234, 9222])).
% 6.18/6.37 tff(14236,plain,
% 6.18/6.37 (~(mult(mult(a, mult(b, mult(c, a))), b) = mult(a, mult(mult(b, mult(c, a)), b)))),
% 6.18/6.37 inference(unit_resolution,[status(thm)],[14235, 13975, 119, 342, 1362])).
% 6.18/6.37 tff(14237,plain,
% 6.18/6.37 ((~(mult(mult(a, b), mult(b, mult(c, a))) = mult(a, mult(b, mult(b, mult(c, a)))))) | (~(mult(mult(a, mult(b, mult(c, a))), b) = mult(a, mult(mult(b, mult(c, a)), b))))),
% 6.18/6.37 inference(unit_resolution,[status(thm)],[13720, 14236])).
% 6.18/6.37 tff(14238,plain,
% 6.18/6.37 (~((~(mult(mult(a, b), mult(b, mult(c, a))) = mult(a, mult(mult(b, mult(c, a)), b)))) | (~(mult(mult(a, mult(b, mult(c, a))), b) = mult(a, mult(b, mult(b, mult(c, a)))))))),
% 6.18/6.37 inference(unit_resolution,[status(thm)],[13725, 14237])).
% 6.18/6.37 tff(14239,plain,
% 6.18/6.38 (mult(mult(a, b), mult(b, mult(c, a))) = mult(a, mult(mult(b, mult(c, a)), b))),
% 6.18/6.38 inference(unit_resolution,[status(thm)],[13727, 14238])).
% 6.18/6.38 tff(14240,plain,
% 6.18/6.38 (mult(a, mult(mult(a, b), mult(b, mult(c, a)))) = mult(a, mult(a, mult(mult(b, mult(c, a)), b)))),
% 6.18/6.38 inference(monotonicity,[status(thm)],[14239])).
% 6.18/6.38 tff(14241,plain,
% 6.18/6.38 (mult(a, mult(mult(a, b), mult(b, mult(c, a)))) = mult(mult(mult(b, mult(c, a)), a), mult(b, a))),
% 6.18/6.38 inference(transitivity,[status(thm)],[14240, 14202, 14177, 7203, 13560, 7196, 3535])).
% 6.18/6.38 tff(14242,plain,
% 6.18/6.38 (mult(mult(b, a), mult(mult(b, mult(c, a)), a)) = mult(mult(b, a), mult(mult(b, a), mult(a, c)))),
% 6.18/6.38 inference(monotonicity,[status(thm)],[3533])).
% 6.18/6.38 tff(14243,plain,
% 6.18/6.38 (mult(mult(b, a), mult(mult(b, mult(c, a)), a)) = mult(mult(b, mult(c, a)), mult(a, mult(b, a)))),
% 6.18/6.38 inference(transitivity,[status(thm)],[14242, 14145, 14010, 11155, 4196])).
% 6.18/6.38 tff(14244,plain,
% 6.18/6.38 (mult(mult(a, mult(b, mult(c, a))), a) = mult(mult(a, c), mult(mult(a, b), a))),
% 6.18/6.38 inference(transitivity,[status(thm)],[13951, 11029, 10731])).
% 6.18/6.38 tff(14245,plain,
% 6.18/6.38 (mult(b, mult(mult(a, mult(b, mult(c, a))), a)) = mult(b, mult(mult(a, c), mult(mult(a, b), a)))),
% 6.18/6.38 inference(monotonicity,[status(thm)],[14244])).
% 6.18/6.38 tff(14246,plain,
% 6.18/6.38 (mult(mult(mult(b, a), mult(b, mult(c, a))), a) = mult(mult(mult(b, mult(c, a)), a), mult(b, a))),
% 6.18/6.38 inference(transitivity,[status(thm)],[13746, 14245, 14138, 14130, 14008, 13996, 11223, 13985, 11166, 3535])).
% 6.18/6.38 tff(14247,plain,
% 6.18/6.38 ((mult(mult(mult(b, a), mult(b, mult(c, a))), a) = mult(mult(b, a), mult(mult(b, mult(c, a)), a))) <=> (mult(mult(mult(b, mult(c, a)), a), mult(b, a)) = mult(mult(b, mult(c, a)), mult(a, mult(b, a))))),
% 6.18/6.38 inference(monotonicity,[status(thm)],[14246, 14243])).
% 6.18/6.38 tff(14248,plain,
% 6.18/6.38 ((mult(mult(mult(b, mult(c, a)), a), mult(b, a)) = mult(mult(b, mult(c, a)), mult(a, mult(b, a)))) <=> (mult(mult(mult(b, a), mult(b, mult(c, a))), a) = mult(mult(b, a), mult(mult(b, mult(c, a)), a)))),
% 6.18/6.38 inference(symmetry,[status(thm)],[14247])).
% 6.18/6.38 tff(14249,plain,
% 6.18/6.38 ((~(mult(mult(mult(b, mult(c, a)), a), mult(b, a)) = mult(mult(b, mult(c, a)), mult(a, mult(b, a))))) <=> (~(mult(mult(mult(b, a), mult(b, mult(c, a))), a) = mult(mult(b, a), mult(mult(b, mult(c, a)), a))))),
% 6.18/6.38 inference(monotonicity,[status(thm)],[14248])).
% 6.18/6.38 tff(14250,plain,
% 6.18/6.38 (~(mult(mult(mult(b, a), mult(b, mult(c, a))), a) = mult(mult(b, a), mult(mult(b, mult(c, a)), a)))),
% 6.18/6.38 inference(modus_ponens,[status(thm)],[10726, 14249])).
% 6.18/6.38 tff(14251,plain,
% 6.18/6.38 (((~(mult(mult(mult(b, a), a), mult(b, mult(c, a))) = mult(mult(b, a), mult(a, mult(b, mult(c, a)))))) | (~(mult(mult(mult(b, a), mult(b, mult(c, a))), a) = mult(mult(b, a), mult(mult(b, mult(c, a)), a))))) | (mult(mult(mult(b, a), mult(b, mult(c, a))), a) = mult(mult(b, a), mult(mult(b, mult(c, a)), a)))),
% 6.18/6.38 inference(tautology,[status(thm)],[])).
% 6.18/6.38 tff(14252,plain,
% 6.18/6.38 ((~(mult(mult(mult(b, a), a), mult(b, mult(c, a))) = mult(mult(b, a), mult(a, mult(b, mult(c, a)))))) | (~(mult(mult(mult(b, a), mult(b, mult(c, a))), a) = mult(mult(b, a), mult(mult(b, mult(c, a)), a))))),
% 6.18/6.38 inference(unit_resolution,[status(thm)],[14251, 14250])).
% 6.18/6.38 tff(14253,plain,
% 6.18/6.38 (((~![X0: $i, X1: $i, X2: $i] : ((~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X2, X1)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X1, X2)))))) | (~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X1, X2)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X2, X1)))))))) | ((~((~(mult(mult(mult(b, a), a), mult(b, mult(c, a))) = mult(mult(b, a), mult(mult(b, mult(c, a)), a)))) | (~(mult(mult(mult(b, a), mult(b, mult(c, a))), a) = mult(mult(b, a), mult(a, mult(b, mult(c, a)))))))) | (~((~(mult(mult(mult(b, a), a), mult(b, mult(c, a))) = mult(mult(b, a), mult(a, mult(b, mult(c, a)))))) | (~(mult(mult(mult(b, a), mult(b, mult(c, a))), a) = mult(mult(b, a), mult(mult(b, mult(c, a)), a)))))))) <=> ((~![X0: $i, X1: $i, X2: $i] : ((~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X2, X1)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X1, X2)))))) | (~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X1, X2)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X2, X1)))))))) | (~((~(mult(mult(mult(b, a), a), mult(b, mult(c, a))) = mult(mult(b, a), mult(mult(b, mult(c, a)), a)))) | (~(mult(mult(mult(b, a), mult(b, mult(c, a))), a) = mult(mult(b, a), mult(a, mult(b, mult(c, a)))))))) | (~((~(mult(mult(mult(b, a), a), mult(b, mult(c, a))) = mult(mult(b, a), mult(a, mult(b, mult(c, a)))))) | (~(mult(mult(mult(b, a), mult(b, mult(c, a))), a) = mult(mult(b, a), mult(mult(b, mult(c, a)), a)))))))),
% 6.18/6.38 inference(rewrite,[status(thm)],[])).
% 6.18/6.38 tff(14254,plain,
% 6.18/6.38 (((~((~(mult(mult(mult(b, a), a), mult(b, mult(c, a))) = mult(mult(b, a), mult(mult(b, mult(c, a)), a)))) | (~(mult(mult(mult(b, a), mult(b, mult(c, a))), a) = mult(mult(b, a), mult(a, mult(b, mult(c, a)))))))) | (~((~(mult(mult(mult(b, a), a), mult(b, mult(c, a))) = mult(mult(b, a), mult(a, mult(b, mult(c, a)))))) | (~(mult(mult(mult(b, a), mult(b, mult(c, a))), a) = mult(mult(b, a), mult(mult(b, mult(c, a)), a))))))) <=> ((~((~(mult(mult(mult(b, a), a), mult(b, mult(c, a))) = mult(mult(b, a), mult(mult(b, mult(c, a)), a)))) | (~(mult(mult(mult(b, a), mult(b, mult(c, a))), a) = mult(mult(b, a), mult(a, mult(b, mult(c, a)))))))) | (~((~(mult(mult(mult(b, a), a), mult(b, mult(c, a))) = mult(mult(b, a), mult(a, mult(b, mult(c, a)))))) | (~(mult(mult(mult(b, a), mult(b, mult(c, a))), a) = mult(mult(b, a), mult(mult(b, mult(c, a)), a)))))))),
% 6.18/6.38 inference(rewrite,[status(thm)],[])).
% 6.18/6.38 tff(14255,plain,
% 6.18/6.38 ((~((~(mult(mult(mult(b, a), mult(b, mult(c, a))), a) = mult(mult(b, a), mult(mult(b, mult(c, a)), a)))) | (~(mult(mult(mult(b, a), a), mult(b, mult(c, a))) = mult(mult(b, a), mult(a, mult(b, mult(c, a)))))))) <=> (~((~(mult(mult(mult(b, a), a), mult(b, mult(c, a))) = mult(mult(b, a), mult(a, mult(b, mult(c, a)))))) | (~(mult(mult(mult(b, a), mult(b, mult(c, a))), a) = mult(mult(b, a), mult(mult(b, mult(c, a)), a))))))),
% 6.18/6.38 inference(rewrite,[status(thm)],[])).
% 6.18/6.38 tff(14256,plain,
% 6.18/6.38 ((~((~(mult(mult(mult(b, a), mult(b, mult(c, a))), a) = mult(mult(b, a), mult(a, mult(b, mult(c, a)))))) | (~(mult(mult(mult(b, a), a), mult(b, mult(c, a))) = mult(mult(b, a), mult(mult(b, mult(c, a)), a)))))) <=> (~((~(mult(mult(mult(b, a), a), mult(b, mult(c, a))) = mult(mult(b, a), mult(mult(b, mult(c, a)), a)))) | (~(mult(mult(mult(b, a), mult(b, mult(c, a))), a) = mult(mult(b, a), mult(a, mult(b, mult(c, a))))))))),
% 6.18/6.38 inference(rewrite,[status(thm)],[])).
% 6.18/6.38 tff(14257,plain,
% 6.18/6.38 (((~((~(mult(mult(mult(b, a), mult(b, mult(c, a))), a) = mult(mult(b, a), mult(a, mult(b, mult(c, a)))))) | (~(mult(mult(mult(b, a), a), mult(b, mult(c, a))) = mult(mult(b, a), mult(mult(b, mult(c, a)), a)))))) | (~((~(mult(mult(mult(b, a), mult(b, mult(c, a))), a) = mult(mult(b, a), mult(mult(b, mult(c, a)), a)))) | (~(mult(mult(mult(b, a), a), mult(b, mult(c, a))) = mult(mult(b, a), mult(a, mult(b, mult(c, a))))))))) <=> ((~((~(mult(mult(mult(b, a), a), mult(b, mult(c, a))) = mult(mult(b, a), mult(mult(b, mult(c, a)), a)))) | (~(mult(mult(mult(b, a), mult(b, mult(c, a))), a) = mult(mult(b, a), mult(a, mult(b, mult(c, a)))))))) | (~((~(mult(mult(mult(b, a), a), mult(b, mult(c, a))) = mult(mult(b, a), mult(a, mult(b, mult(c, a)))))) | (~(mult(mult(mult(b, a), mult(b, mult(c, a))), a) = mult(mult(b, a), mult(mult(b, mult(c, a)), a)))))))),
% 6.18/6.38 inference(monotonicity,[status(thm)],[14256, 14255])).
% 6.18/6.38 tff(14258,plain,
% 6.18/6.38 (((~((~(mult(mult(mult(b, a), mult(b, mult(c, a))), a) = mult(mult(b, a), mult(a, mult(b, mult(c, a)))))) | (~(mult(mult(mult(b, a), a), mult(b, mult(c, a))) = mult(mult(b, a), mult(mult(b, mult(c, a)), a)))))) | (~((~(mult(mult(mult(b, a), mult(b, mult(c, a))), a) = mult(mult(b, a), mult(mult(b, mult(c, a)), a)))) | (~(mult(mult(mult(b, a), a), mult(b, mult(c, a))) = mult(mult(b, a), mult(a, mult(b, mult(c, a))))))))) <=> ((~((~(mult(mult(mult(b, a), a), mult(b, mult(c, a))) = mult(mult(b, a), mult(mult(b, mult(c, a)), a)))) | (~(mult(mult(mult(b, a), mult(b, mult(c, a))), a) = mult(mult(b, a), mult(a, mult(b, mult(c, a)))))))) | (~((~(mult(mult(mult(b, a), a), mult(b, mult(c, a))) = mult(mult(b, a), mult(a, mult(b, mult(c, a)))))) | (~(mult(mult(mult(b, a), mult(b, mult(c, a))), a) = mult(mult(b, a), mult(mult(b, mult(c, a)), a)))))))),
% 6.18/6.38 inference(transitivity,[status(thm)],[14257, 14254])).
% 6.18/6.38 tff(14259,plain,
% 6.18/6.38 (((~![X0: $i, X1: $i, X2: $i] : ((~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X2, X1)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X1, X2)))))) | (~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X1, X2)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X2, X1)))))))) | ((~((~(mult(mult(mult(b, a), mult(b, mult(c, a))), a) = mult(mult(b, a), mult(a, mult(b, mult(c, a)))))) | (~(mult(mult(mult(b, a), a), mult(b, mult(c, a))) = mult(mult(b, a), mult(mult(b, mult(c, a)), a)))))) | (~((~(mult(mult(mult(b, a), mult(b, mult(c, a))), a) = mult(mult(b, a), mult(mult(b, mult(c, a)), a)))) | (~(mult(mult(mult(b, a), a), mult(b, mult(c, a))) = mult(mult(b, a), mult(a, mult(b, mult(c, a)))))))))) <=> ((~![X0: $i, X1: $i, X2: $i] : ((~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X2, X1)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X1, X2)))))) | (~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X1, X2)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X2, X1)))))))) | ((~((~(mult(mult(mult(b, a), a), mult(b, mult(c, a))) = mult(mult(b, a), mult(mult(b, mult(c, a)), a)))) | (~(mult(mult(mult(b, a), mult(b, mult(c, a))), a) = mult(mult(b, a), mult(a, mult(b, mult(c, a)))))))) | (~((~(mult(mult(mult(b, a), a), mult(b, mult(c, a))) = mult(mult(b, a), mult(a, mult(b, mult(c, a)))))) | (~(mult(mult(mult(b, a), mult(b, mult(c, a))), a) = mult(mult(b, a), mult(mult(b, mult(c, a)), a))))))))),
% 6.18/6.38 inference(monotonicity,[status(thm)],[14258])).
% 6.18/6.38 tff(14260,plain,
% 6.18/6.38 (((~![X0: $i, X1: $i, X2: $i] : ((~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X2, X1)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X1, X2)))))) | (~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X1, X2)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X2, X1)))))))) | ((~((~(mult(mult(mult(b, a), mult(b, mult(c, a))), a) = mult(mult(b, a), mult(a, mult(b, mult(c, a)))))) | (~(mult(mult(mult(b, a), a), mult(b, mult(c, a))) = mult(mult(b, a), mult(mult(b, mult(c, a)), a)))))) | (~((~(mult(mult(mult(b, a), mult(b, mult(c, a))), a) = mult(mult(b, a), mult(mult(b, mult(c, a)), a)))) | (~(mult(mult(mult(b, a), a), mult(b, mult(c, a))) = mult(mult(b, a), mult(a, mult(b, mult(c, a)))))))))) <=> ((~![X0: $i, X1: $i, X2: $i] : ((~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X2, X1)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X1, X2)))))) | (~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X1, X2)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X2, X1)))))))) | (~((~(mult(mult(mult(b, a), a), mult(b, mult(c, a))) = mult(mult(b, a), mult(mult(b, mult(c, a)), a)))) | (~(mult(mult(mult(b, a), mult(b, mult(c, a))), a) = mult(mult(b, a), mult(a, mult(b, mult(c, a)))))))) | (~((~(mult(mult(mult(b, a), a), mult(b, mult(c, a))) = mult(mult(b, a), mult(a, mult(b, mult(c, a)))))) | (~(mult(mult(mult(b, a), mult(b, mult(c, a))), a) = mult(mult(b, a), mult(mult(b, mult(c, a)), a)))))))),
% 6.18/6.38 inference(transitivity,[status(thm)],[14259, 14253])).
% 6.18/6.38 tff(14261,plain,
% 6.18/6.38 ((~![X0: $i, X1: $i, X2: $i] : ((~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X2, X1)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X1, X2)))))) | (~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X1, X2)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X2, X1)))))))) | ((~((~(mult(mult(mult(b, a), mult(b, mult(c, a))), a) = mult(mult(b, a), mult(a, mult(b, mult(c, a)))))) | (~(mult(mult(mult(b, a), a), mult(b, mult(c, a))) = mult(mult(b, a), mult(mult(b, mult(c, a)), a)))))) | (~((~(mult(mult(mult(b, a), mult(b, mult(c, a))), a) = mult(mult(b, a), mult(mult(b, mult(c, a)), a)))) | (~(mult(mult(mult(b, a), a), mult(b, mult(c, a))) = mult(mult(b, a), mult(a, mult(b, mult(c, a)))))))))),
% 6.18/6.38 inference(quant_inst,[status(thm)],[])).
% 6.18/6.38 tff(14262,plain,
% 6.18/6.38 ((~![X0: $i, X1: $i, X2: $i] : ((~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X2, X1)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X1, X2)))))) | (~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X1, X2)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X2, X1)))))))) | (~((~(mult(mult(mult(b, a), a), mult(b, mult(c, a))) = mult(mult(b, a), mult(mult(b, mult(c, a)), a)))) | (~(mult(mult(mult(b, a), mult(b, mult(c, a))), a) = mult(mult(b, a), mult(a, mult(b, mult(c, a)))))))) | (~((~(mult(mult(mult(b, a), a), mult(b, mult(c, a))) = mult(mult(b, a), mult(a, mult(b, mult(c, a)))))) | (~(mult(mult(mult(b, a), mult(b, mult(c, a))), a) = mult(mult(b, a), mult(mult(b, mult(c, a)), a))))))),
% 6.18/6.38 inference(modus_ponens,[status(thm)],[14261, 14260])).
% 6.18/6.38 tff(14263,plain,
% 6.18/6.38 ((~((~(mult(mult(mult(b, a), a), mult(b, mult(c, a))) = mult(mult(b, a), mult(mult(b, mult(c, a)), a)))) | (~(mult(mult(mult(b, a), mult(b, mult(c, a))), a) = mult(mult(b, a), mult(a, mult(b, mult(c, a)))))))) | (~((~(mult(mult(mult(b, a), a), mult(b, mult(c, a))) = mult(mult(b, a), mult(a, mult(b, mult(c, a)))))) | (~(mult(mult(mult(b, a), mult(b, mult(c, a))), a) = mult(mult(b, a), mult(mult(b, mult(c, a)), a))))))),
% 6.18/6.38 inference(unit_resolution,[status(thm)],[14262, 30])).
% 6.18/6.38 tff(14264,plain,
% 6.18/6.38 (~((~(mult(mult(mult(b, a), a), mult(b, mult(c, a))) = mult(mult(b, a), mult(mult(b, mult(c, a)), a)))) | (~(mult(mult(mult(b, a), mult(b, mult(c, a))), a) = mult(mult(b, a), mult(a, mult(b, mult(c, a)))))))),
% 6.18/6.38 inference(unit_resolution,[status(thm)],[14263, 14252])).
% 6.18/6.38 tff(14265,plain,
% 6.18/6.38 (((~(mult(mult(mult(b, a), a), mult(b, mult(c, a))) = mult(mult(b, a), mult(mult(b, mult(c, a)), a)))) | (~(mult(mult(mult(b, a), mult(b, mult(c, a))), a) = mult(mult(b, a), mult(a, mult(b, mult(c, a))))))) | (mult(mult(mult(b, a), a), mult(b, mult(c, a))) = mult(mult(b, a), mult(mult(b, mult(c, a)), a)))),
% 6.18/6.38 inference(tautology,[status(thm)],[])).
% 6.18/6.38 tff(14266,plain,
% 6.18/6.38 (mult(mult(mult(b, a), a), mult(b, mult(c, a))) = mult(mult(b, a), mult(mult(b, mult(c, a)), a))),
% 6.18/6.38 inference(unit_resolution,[status(thm)],[14265, 14264])).
% 6.18/6.38 tff(14267,plain,
% 6.18/6.38 (mult(mult(mult(b, a), a), mult(mult(b, a), c)) = mult(mult(mult(b, a), a), mult(b, mult(c, a)))),
% 6.18/6.38 inference(monotonicity,[status(thm)],[3427])).
% 6.18/6.38 tff(14268,plain,
% 6.18/6.38 ((~![B: $i, A: $i] : (rd(mult(A, B), B) = A)) | (rd(mult(mult(mult(b, a), a), c), c) = mult(mult(b, a), a))),
% 6.18/6.38 inference(quant_inst,[status(thm)],[])).
% 6.18/6.38 tff(14269,plain,
% 6.18/6.38 (rd(mult(mult(mult(b, a), a), c), c) = mult(mult(b, a), a)),
% 6.18/6.38 inference(unit_resolution,[status(thm)],[14268, 72])).
% 6.18/6.38 tff(14270,plain,
% 6.18/6.38 (mult(mult(mult(b, a), mult(b, mult(c, a))), a) = mult(mult(a, mult(mult(mult(b, c), a), b)), a)),
% 6.18/6.38 inference(transitivity,[status(thm)],[13746, 14245, 14138, 14130, 14008, 13996, 11223, 13985, 11166, 7849, 13561, 7202])).
% 6.18/6.38 tff(14271,plain,
% 6.18/6.38 (rd(mult(mult(mult(b, a), mult(b, mult(c, a))), a), a) = rd(mult(mult(a, mult(mult(mult(b, c), a), b)), a), a)),
% 6.18/6.38 inference(monotonicity,[status(thm)],[14270])).
% 6.18/6.38 tff(14272,plain,
% 6.18/6.38 (mult(mult(b, a), mult(b, mult(c, a))) = rd(mult(mult(mult(b, a), mult(b, mult(c, a))), a), a)),
% 6.18/6.38 inference(symmetry,[status(thm)],[13732])).
% 6.18/6.38 tff(14273,plain,
% 6.18/6.38 ((mult(b, mult(c, a)) = mult(b, mult(a, c))) <=> (mult(mult(b, c), a) = mult(b, mult(c, a)))),
% 6.18/6.38 inference(symmetry,[status(thm)],[5985])).
% 6.18/6.38 tff(14274,plain,
% 6.18/6.38 ((mult(mult(b, a), c) = mult(b, mult(a, c))) <=> (mult(mult(b, c), a) = mult(b, mult(c, a)))),
% 6.18/6.38 inference(transitivity,[status(thm)],[4911, 14273])).
% 6.18/6.38 tff(14275,plain,
% 6.18/6.38 ((~(mult(mult(b, a), c) = mult(b, mult(a, c)))) <=> (~(mult(mult(b, c), a) = mult(b, mult(c, a))))),
% 6.18/6.38 inference(monotonicity,[status(thm)],[14274])).
% 6.18/6.38 tff(14276,plain,
% 6.18/6.38 (rd(mult(mult(mult(a, b), c), mult(mult(a, b), a)), mult(mult(a, b), a)) = rd(mult(mult(mult(b, c), a), mult(mult(a, b), a)), mult(mult(a, b), a))),
% 6.18/6.38 inference(symmetry,[status(thm)],[14160])).
% 6.18/6.38 tff(14277,plain,
% 6.18/6.38 (mult(mult(a, b), c) = mult(mult(b, c), a)),
% 6.18/6.38 inference(transitivity,[status(thm)],[11921, 14276, 11203])).
% 6.18/6.38 tff(14278,plain,
% 6.18/6.38 (mult(a, mult(mult(a, b), c)) = mult(a, mult(mult(b, c), a))),
% 6.18/6.38 inference(monotonicity,[status(thm)],[14277])).
% 6.18/6.38 tff(14279,plain,
% 6.18/6.38 (mult(a, mult(mult(b, c), a)) = mult(a, mult(mult(a, b), c))),
% 6.18/6.38 inference(symmetry,[status(thm)],[14278])).
% 6.18/6.38 tff(14280,plain,
% 6.18/6.38 (mult(mult(a, mult(b, c)), a) = mult(a, mult(a, mult(b, c)))),
% 6.18/6.39 inference(transitivity,[status(thm)],[10912, 14279, 10421])).
% 6.18/6.39 tff(14281,plain,
% 6.18/6.39 ((mult(mult(mult(a, c), b), a) = mult(mult(a, c), mult(b, a))) | (~(mult(mult(b, a), c) = mult(b, mult(a, c)))) | (~(mult(mult(a, b), mult(a, c)) = mult(a, mult(b, mult(a, c))))) | (~(mult(mult(a, mult(b, c)), a) = mult(a, mult(a, mult(b, c))))) | (~(mult(mult(mult(a, b), c), a) = mult(mult(a, b), mult(a, c))))),
% 6.18/6.39 inference(unit_resolution,[status(thm)],[974, 8959])).
% 6.18/6.39 tff(14282,plain,
% 6.18/6.39 (~(mult(mult(b, a), c) = mult(b, mult(a, c)))),
% 6.18/6.39 inference(unit_resolution,[status(thm)],[14281, 14280, 11121, 168, 614])).
% 6.18/6.39 tff(14283,plain,
% 6.18/6.39 (~(mult(mult(b, c), a) = mult(b, mult(c, a)))),
% 6.18/6.39 inference(modus_ponens,[status(thm)],[14282, 14275])).
% 6.18/6.39 tff(14284,plain,
% 6.18/6.39 (~(mult(mult(mult(b, a), c), a) = mult(mult(b, a), mult(c, a)))),
% 6.18/6.39 inference(unit_resolution,[status(thm)],[3516, 14283])).
% 6.18/6.39 tff(14285,plain,
% 6.18/6.39 (mult(a, mult(mult(c, a), b)) = mult(mult(mult(a, b), a), c)),
% 6.18/6.39 inference(transitivity,[status(thm)],[352, 2010, 8336])).
% 6.18/6.39 tff(14286,plain,
% 6.18/6.39 (mult(mult(b, a), mult(a, mult(mult(c, a), b))) = mult(mult(b, a), mult(mult(mult(a, b), a), c))),
% 6.18/6.39 inference(monotonicity,[status(thm)],[14285])).
% 6.18/6.39 tff(14287,plain,
% 6.18/6.39 (mult(mult(mult(b, a), mult(mult(c, a), b)), a) = mult(mult(mult(mult(b, a), mult(a, c)), b), a)),
% 6.18/6.39 inference(transitivity,[status(thm)],[11567, 14286, 11253, 11155, 7884, 11596])).
% 6.18/6.39 tff(14288,plain,
% 6.18/6.39 (rd(mult(mult(mult(b, a), mult(mult(c, a), b)), a), a) = rd(mult(mult(mult(mult(b, a), mult(a, c)), b), a), a)),
% 6.18/6.39 inference(monotonicity,[status(thm)],[14287])).
% 6.18/6.39 tff(14289,assumption,(mult(mult(mult(b, a), mult(c, a)), b) = mult(mult(b, a), mult(mult(c, a), b))), introduced(assumption)).
% 6.18/6.39 tff(14290,plain,
% 6.18/6.39 (mult(mult(mult(b, a), mult(c, a)), b) = mult(mult(mult(b, a), mult(a, c)), b)),
% 6.18/6.39 inference(transitivity,[status(thm)],[14289, 12592, 14288, 7854])).
% 6.18/6.39 tff(14291,plain,
% 6.18/6.39 (rd(mult(mult(mult(b, a), mult(c, a)), b), b) = rd(mult(mult(mult(b, a), mult(a, c)), b), b)),
% 6.18/6.39 inference(monotonicity,[status(thm)],[14290])).
% 6.18/6.39 tff(14292,plain,
% 6.18/6.39 (rd(mult(mult(mult(b, a), mult(a, c)), b), b) = rd(mult(mult(mult(b, a), mult(c, a)), b), b)),
% 6.18/6.39 inference(symmetry,[status(thm)],[14291])).
% 6.18/6.39 tff(14293,plain,
% 6.18/6.39 ((~![B: $i, A: $i] : (rd(mult(A, B), B) = A)) | (rd(mult(mult(mult(b, a), mult(a, c)), b), b) = mult(mult(b, a), mult(a, c)))),
% 6.18/6.39 inference(quant_inst,[status(thm)],[])).
% 6.18/6.39 tff(14294,plain,
% 6.18/6.39 (rd(mult(mult(mult(b, a), mult(a, c)), b), b) = mult(mult(b, a), mult(a, c))),
% 6.18/6.39 inference(unit_resolution,[status(thm)],[14293, 72])).
% 6.18/6.39 tff(14295,plain,
% 6.18/6.39 (mult(mult(b, a), mult(a, c)) = rd(mult(mult(mult(b, a), mult(a, c)), b), b)),
% 6.18/6.39 inference(symmetry,[status(thm)],[14294])).
% 6.18/6.39 tff(14296,plain,
% 6.18/6.39 (mult(mult(mult(b, a), c), a) = mult(mult(b, a), mult(c, a))),
% 6.18/6.39 inference(transitivity,[status(thm)],[3530, 14295, 14292, 4206])).
% 6.18/6.39 tff(14297,assumption,(~(mult(mult(mult(b, a), c), a) = mult(mult(b, a), mult(c, a)))), introduced(assumption)).
% 6.18/6.39 tff(14298,plain,
% 6.18/6.39 ($false),
% 6.18/6.39 inference(unit_resolution,[status(thm)],[14297, 14296])).
% 6.18/6.39 tff(14299,plain,((~(mult(mult(mult(b, a), mult(c, a)), b) = mult(mult(b, a), mult(mult(c, a), b)))) | (mult(mult(mult(b, a), c), a) = mult(mult(b, a), mult(c, a))) | (~(mult(mult(mult(b, a), mult(mult(c, a), b)), a) = mult(mult(b, a), mult(a, mult(mult(c, a), b))))) | (~(mult(mult(mult(b, a), c), mult(mult(a, b), a)) = mult(mult(b, a), mult(mult(mult(a, b), a), c)))) | (~(mult(mult(a, mult(b, a)), c) = mult(a, mult(c, mult(b, a))))) | (~(mult(mult(c, a), b) = mult(c, mult(b, a))))), inference(lemma,lemma(discharge,[]))).
% 6.18/6.39 tff(14300,plain,
% 6.18/6.39 (~(mult(mult(mult(b, a), mult(c, a)), b) = mult(mult(b, a), mult(mult(c, a), b)))),
% 6.18/6.39 inference(unit_resolution,[status(thm)],[14299, 14284, 14102, 14009, 218, 342])).
% 6.18/6.39 tff(14301,plain,
% 6.18/6.39 (((~(mult(mult(mult(b, a), b), mult(c, a)) = mult(mult(b, a), mult(b, mult(c, a))))) | (~(mult(mult(mult(b, a), mult(c, a)), b) = mult(mult(b, a), mult(mult(c, a), b))))) | (mult(mult(mult(b, a), mult(c, a)), b) = mult(mult(b, a), mult(mult(c, a), b)))),
% 6.18/6.39 inference(tautology,[status(thm)],[])).
% 6.18/6.39 tff(14302,plain,
% 6.18/6.39 ((~(mult(mult(mult(b, a), b), mult(c, a)) = mult(mult(b, a), mult(b, mult(c, a))))) | (~(mult(mult(mult(b, a), mult(c, a)), b) = mult(mult(b, a), mult(mult(c, a), b))))),
% 6.18/6.39 inference(unit_resolution,[status(thm)],[14301, 14300])).
% 6.18/6.39 tff(14303,plain,
% 6.18/6.39 (((~![X0: $i, X1: $i, X2: $i] : ((~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X2, X1)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X1, X2)))))) | (~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X1, X2)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X2, X1)))))))) | ((~((~(mult(mult(mult(b, a), b), mult(c, a)) = mult(mult(b, a), mult(mult(c, a), b)))) | (~(mult(mult(mult(b, a), mult(c, a)), b) = mult(mult(b, a), mult(b, mult(c, a))))))) | (~((~(mult(mult(mult(b, a), b), mult(c, a)) = mult(mult(b, a), mult(b, mult(c, a))))) | (~(mult(mult(mult(b, a), mult(c, a)), b) = mult(mult(b, a), mult(mult(c, a), b)))))))) <=> ((~![X0: $i, X1: $i, X2: $i] : ((~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X2, X1)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X1, X2)))))) | (~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X1, X2)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X2, X1)))))))) | (~((~(mult(mult(mult(b, a), b), mult(c, a)) = mult(mult(b, a), mult(mult(c, a), b)))) | (~(mult(mult(mult(b, a), mult(c, a)), b) = mult(mult(b, a), mult(b, mult(c, a))))))) | (~((~(mult(mult(mult(b, a), b), mult(c, a)) = mult(mult(b, a), mult(b, mult(c, a))))) | (~(mult(mult(mult(b, a), mult(c, a)), b) = mult(mult(b, a), mult(mult(c, a), b)))))))),
% 6.18/6.39 inference(rewrite,[status(thm)],[])).
% 6.18/6.39 tff(14304,plain,
% 6.18/6.39 (((~((~(mult(mult(mult(b, a), b), mult(c, a)) = mult(mult(b, a), mult(mult(c, a), b)))) | (~(mult(mult(mult(b, a), mult(c, a)), b) = mult(mult(b, a), mult(b, mult(c, a))))))) | (~((~(mult(mult(mult(b, a), b), mult(c, a)) = mult(mult(b, a), mult(b, mult(c, a))))) | (~(mult(mult(mult(b, a), mult(c, a)), b) = mult(mult(b, a), mult(mult(c, a), b))))))) <=> ((~((~(mult(mult(mult(b, a), b), mult(c, a)) = mult(mult(b, a), mult(mult(c, a), b)))) | (~(mult(mult(mult(b, a), mult(c, a)), b) = mult(mult(b, a), mult(b, mult(c, a))))))) | (~((~(mult(mult(mult(b, a), b), mult(c, a)) = mult(mult(b, a), mult(b, mult(c, a))))) | (~(mult(mult(mult(b, a), mult(c, a)), b) = mult(mult(b, a), mult(mult(c, a), b)))))))),
% 6.18/6.39 inference(rewrite,[status(thm)],[])).
% 6.18/6.39 tff(14305,plain,
% 6.18/6.39 ((~((~(mult(mult(mult(b, a), mult(c, a)), b) = mult(mult(b, a), mult(mult(c, a), b)))) | (~(mult(mult(mult(b, a), b), mult(c, a)) = mult(mult(b, a), mult(b, mult(c, a))))))) <=> (~((~(mult(mult(mult(b, a), b), mult(c, a)) = mult(mult(b, a), mult(b, mult(c, a))))) | (~(mult(mult(mult(b, a), mult(c, a)), b) = mult(mult(b, a), mult(mult(c, a), b))))))),
% 6.18/6.39 inference(rewrite,[status(thm)],[])).
% 6.18/6.39 tff(14306,plain,
% 6.18/6.39 ((~((~(mult(mult(mult(b, a), mult(c, a)), b) = mult(mult(b, a), mult(b, mult(c, a))))) | (~(mult(mult(mult(b, a), b), mult(c, a)) = mult(mult(b, a), mult(mult(c, a), b)))))) <=> (~((~(mult(mult(mult(b, a), b), mult(c, a)) = mult(mult(b, a), mult(mult(c, a), b)))) | (~(mult(mult(mult(b, a), mult(c, a)), b) = mult(mult(b, a), mult(b, mult(c, a)))))))),
% 6.18/6.39 inference(rewrite,[status(thm)],[])).
% 6.18/6.39 tff(14307,plain,
% 6.18/6.39 (((~((~(mult(mult(mult(b, a), mult(c, a)), b) = mult(mult(b, a), mult(b, mult(c, a))))) | (~(mult(mult(mult(b, a), b), mult(c, a)) = mult(mult(b, a), mult(mult(c, a), b)))))) | (~((~(mult(mult(mult(b, a), mult(c, a)), b) = mult(mult(b, a), mult(mult(c, a), b)))) | (~(mult(mult(mult(b, a), b), mult(c, a)) = mult(mult(b, a), mult(b, mult(c, a)))))))) <=> ((~((~(mult(mult(mult(b, a), b), mult(c, a)) = mult(mult(b, a), mult(mult(c, a), b)))) | (~(mult(mult(mult(b, a), mult(c, a)), b) = mult(mult(b, a), mult(b, mult(c, a))))))) | (~((~(mult(mult(mult(b, a), b), mult(c, a)) = mult(mult(b, a), mult(b, mult(c, a))))) | (~(mult(mult(mult(b, a), mult(c, a)), b) = mult(mult(b, a), mult(mult(c, a), b)))))))),
% 6.18/6.39 inference(monotonicity,[status(thm)],[14306, 14305])).
% 6.18/6.39 tff(14308,plain,
% 6.18/6.39 (((~((~(mult(mult(mult(b, a), mult(c, a)), b) = mult(mult(b, a), mult(b, mult(c, a))))) | (~(mult(mult(mult(b, a), b), mult(c, a)) = mult(mult(b, a), mult(mult(c, a), b)))))) | (~((~(mult(mult(mult(b, a), mult(c, a)), b) = mult(mult(b, a), mult(mult(c, a), b)))) | (~(mult(mult(mult(b, a), b), mult(c, a)) = mult(mult(b, a), mult(b, mult(c, a)))))))) <=> ((~((~(mult(mult(mult(b, a), b), mult(c, a)) = mult(mult(b, a), mult(mult(c, a), b)))) | (~(mult(mult(mult(b, a), mult(c, a)), b) = mult(mult(b, a), mult(b, mult(c, a))))))) | (~((~(mult(mult(mult(b, a), b), mult(c, a)) = mult(mult(b, a), mult(b, mult(c, a))))) | (~(mult(mult(mult(b, a), mult(c, a)), b) = mult(mult(b, a), mult(mult(c, a), b)))))))),
% 6.18/6.39 inference(transitivity,[status(thm)],[14307, 14304])).
% 6.18/6.39 tff(14309,plain,
% 6.18/6.39 (((~![X0: $i, X1: $i, X2: $i] : ((~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X2, X1)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X1, X2)))))) | (~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X1, X2)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X2, X1)))))))) | ((~((~(mult(mult(mult(b, a), mult(c, a)), b) = mult(mult(b, a), mult(b, mult(c, a))))) | (~(mult(mult(mult(b, a), b), mult(c, a)) = mult(mult(b, a), mult(mult(c, a), b)))))) | (~((~(mult(mult(mult(b, a), mult(c, a)), b) = mult(mult(b, a), mult(mult(c, a), b)))) | (~(mult(mult(mult(b, a), b), mult(c, a)) = mult(mult(b, a), mult(b, mult(c, a))))))))) <=> ((~![X0: $i, X1: $i, X2: $i] : ((~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X2, X1)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X1, X2)))))) | (~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X1, X2)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X2, X1)))))))) | ((~((~(mult(mult(mult(b, a), b), mult(c, a)) = mult(mult(b, a), mult(mult(c, a), b)))) | (~(mult(mult(mult(b, a), mult(c, a)), b) = mult(mult(b, a), mult(b, mult(c, a))))))) | (~((~(mult(mult(mult(b, a), b), mult(c, a)) = mult(mult(b, a), mult(b, mult(c, a))))) | (~(mult(mult(mult(b, a), mult(c, a)), b) = mult(mult(b, a), mult(mult(c, a), b))))))))),
% 6.18/6.39 inference(monotonicity,[status(thm)],[14308])).
% 6.18/6.39 tff(14310,plain,
% 6.18/6.39 (((~![X0: $i, X1: $i, X2: $i] : ((~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X2, X1)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X1, X2)))))) | (~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X1, X2)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X2, X1)))))))) | ((~((~(mult(mult(mult(b, a), mult(c, a)), b) = mult(mult(b, a), mult(b, mult(c, a))))) | (~(mult(mult(mult(b, a), b), mult(c, a)) = mult(mult(b, a), mult(mult(c, a), b)))))) | (~((~(mult(mult(mult(b, a), mult(c, a)), b) = mult(mult(b, a), mult(mult(c, a), b)))) | (~(mult(mult(mult(b, a), b), mult(c, a)) = mult(mult(b, a), mult(b, mult(c, a))))))))) <=> ((~![X0: $i, X1: $i, X2: $i] : ((~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X2, X1)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X1, X2)))))) | (~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X1, X2)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X2, X1)))))))) | (~((~(mult(mult(mult(b, a), b), mult(c, a)) = mult(mult(b, a), mult(mult(c, a), b)))) | (~(mult(mult(mult(b, a), mult(c, a)), b) = mult(mult(b, a), mult(b, mult(c, a))))))) | (~((~(mult(mult(mult(b, a), b), mult(c, a)) = mult(mult(b, a), mult(b, mult(c, a))))) | (~(mult(mult(mult(b, a), mult(c, a)), b) = mult(mult(b, a), mult(mult(c, a), b)))))))),
% 6.18/6.39 inference(transitivity,[status(thm)],[14309, 14303])).
% 6.18/6.39 tff(14311,plain,
% 6.18/6.39 ((~![X0: $i, X1: $i, X2: $i] : ((~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X2, X1)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X1, X2)))))) | (~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X1, X2)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X2, X1)))))))) | ((~((~(mult(mult(mult(b, a), mult(c, a)), b) = mult(mult(b, a), mult(b, mult(c, a))))) | (~(mult(mult(mult(b, a), b), mult(c, a)) = mult(mult(b, a), mult(mult(c, a), b)))))) | (~((~(mult(mult(mult(b, a), mult(c, a)), b) = mult(mult(b, a), mult(mult(c, a), b)))) | (~(mult(mult(mult(b, a), b), mult(c, a)) = mult(mult(b, a), mult(b, mult(c, a))))))))),
% 6.18/6.39 inference(quant_inst,[status(thm)],[])).
% 6.18/6.39 tff(14312,plain,
% 6.18/6.39 ((~![X0: $i, X1: $i, X2: $i] : ((~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X2, X1)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X1, X2)))))) | (~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X1, X2)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X2, X1)))))))) | (~((~(mult(mult(mult(b, a), b), mult(c, a)) = mult(mult(b, a), mult(mult(c, a), b)))) | (~(mult(mult(mult(b, a), mult(c, a)), b) = mult(mult(b, a), mult(b, mult(c, a))))))) | (~((~(mult(mult(mult(b, a), b), mult(c, a)) = mult(mult(b, a), mult(b, mult(c, a))))) | (~(mult(mult(mult(b, a), mult(c, a)), b) = mult(mult(b, a), mult(mult(c, a), b))))))),
% 6.18/6.39 inference(modus_ponens,[status(thm)],[14311, 14310])).
% 6.18/6.39 tff(14313,plain,
% 6.18/6.39 ((~((~(mult(mult(mult(b, a), b), mult(c, a)) = mult(mult(b, a), mult(mult(c, a), b)))) | (~(mult(mult(mult(b, a), mult(c, a)), b) = mult(mult(b, a), mult(b, mult(c, a))))))) | (~((~(mult(mult(mult(b, a), b), mult(c, a)) = mult(mult(b, a), mult(b, mult(c, a))))) | (~(mult(mult(mult(b, a), mult(c, a)), b) = mult(mult(b, a), mult(mult(c, a), b))))))),
% 6.18/6.39 inference(unit_resolution,[status(thm)],[14312, 30])).
% 6.18/6.39 tff(14314,plain,
% 6.18/6.39 (~((~(mult(mult(mult(b, a), b), mult(c, a)) = mult(mult(b, a), mult(mult(c, a), b)))) | (~(mult(mult(mult(b, a), mult(c, a)), b) = mult(mult(b, a), mult(b, mult(c, a))))))),
% 6.18/6.39 inference(unit_resolution,[status(thm)],[14313, 14302])).
% 6.18/6.39 tff(14315,plain,
% 6.18/6.39 (((~(mult(mult(mult(b, a), b), mult(c, a)) = mult(mult(b, a), mult(mult(c, a), b)))) | (~(mult(mult(mult(b, a), mult(c, a)), b) = mult(mult(b, a), mult(b, mult(c, a)))))) | (mult(mult(mult(b, a), mult(c, a)), b) = mult(mult(b, a), mult(b, mult(c, a))))),
% 6.18/6.39 inference(tautology,[status(thm)],[])).
% 6.18/6.39 tff(14316,plain,
% 6.18/6.39 (mult(mult(mult(b, a), mult(c, a)), b) = mult(mult(b, a), mult(b, mult(c, a)))),
% 6.18/6.39 inference(unit_resolution,[status(thm)],[14315, 14314])).
% 6.18/6.39 tff(14317,plain,
% 6.18/6.39 (mult(mult(mult(b, a), mult(c, a)), b) = mult(mult(mult(mult(a, b), c), a), b)),
% 6.18/6.39 inference(transitivity,[status(thm)],[14316, 14272, 14271, 6157, 6141, 6138, 6135])).
% 6.18/6.39 tff(14318,plain,
% 6.18/6.39 (rd(mult(mult(mult(b, a), mult(c, a)), b), b) = rd(mult(mult(mult(mult(a, b), c), a), b), b)),
% 6.18/6.39 inference(monotonicity,[status(thm)],[14317])).
% 6.18/6.39 tff(14319,plain,
% 6.18/6.39 (rd(mult(mult(mult(mult(a, b), c), a), b), b) = rd(mult(mult(mult(b, a), mult(c, a)), b), b)),
% 6.18/6.39 inference(symmetry,[status(thm)],[14318])).
% 6.18/6.39 tff(14320,plain,
% 6.18/6.39 ((~![B: $i, A: $i] : (rd(mult(A, B), B) = A)) | (rd(mult(mult(mult(mult(a, b), c), a), b), b) = mult(mult(mult(a, b), c), a))),
% 6.18/6.39 inference(quant_inst,[status(thm)],[])).
% 6.18/6.39 tff(14321,plain,
% 6.18/6.39 (rd(mult(mult(mult(mult(a, b), c), a), b), b) = mult(mult(mult(a, b), c), a)),
% 6.18/6.39 inference(unit_resolution,[status(thm)],[14320, 72])).
% 6.18/6.39 tff(14322,plain,
% 6.18/6.39 (mult(mult(mult(a, b), c), a) = rd(mult(mult(mult(mult(a, b), c), a), b), b)),
% 6.18/6.39 inference(symmetry,[status(thm)],[14321])).
% 6.18/6.39 tff(14323,plain,
% 6.18/6.39 (mult(mult(mult(a, a), b), c) = mult(mult(mult(b, a), a), c)),
% 6.18/6.39 inference(transitivity,[status(thm)],[5347, 8996, 14278, 11403, 10660, 14322, 14319, 4206, 8355])).
% 6.18/6.39 tff(14324,plain,
% 6.18/6.39 (rd(mult(mult(mult(a, a), b), c), c) = rd(mult(mult(mult(b, a), a), c), c)),
% 6.18/6.39 inference(monotonicity,[status(thm)],[14323])).
% 6.18/6.39 tff(14325,plain,
% 6.18/6.39 (mult(a, mult(a, b)) = mult(mult(b, a), a)),
% 6.18/6.39 inference(transitivity,[status(thm)],[6193, 2890, 14324, 14269])).
% 6.18/6.39 tff(14326,plain,
% 6.18/6.39 (mult(mult(a, mult(a, b)), mult(b, mult(c, a))) = mult(mult(mult(b, a), a), mult(mult(b, a), c))),
% 6.18/6.39 inference(monotonicity,[status(thm)],[14325, 3531])).
% 6.18/6.39 tff(14327,plain,
% 6.18/6.39 (mult(mult(a, mult(a, b)), mult(b, mult(c, a))) = mult(mult(b, mult(c, a)), mult(a, mult(b, a)))),
% 6.18/6.39 inference(transitivity,[status(thm)],[14326, 14267, 14266, 14242, 14145, 14010, 11155, 4196])).
% 6.18/6.39 tff(14328,plain,
% 6.18/6.39 ((mult(mult(a, mult(a, b)), mult(b, mult(c, a))) = mult(a, mult(mult(a, b), mult(b, mult(c, a))))) <=> (mult(mult(b, mult(c, a)), mult(a, mult(b, a))) = mult(mult(mult(b, mult(c, a)), a), mult(b, a)))),
% 6.18/6.39 inference(monotonicity,[status(thm)],[14327, 14241])).
% 6.18/6.39 tff(14329,plain,
% 6.18/6.39 ((mult(mult(a, mult(a, b)), mult(b, mult(c, a))) = mult(a, mult(mult(a, b), mult(b, mult(c, a))))) <=> (mult(mult(mult(b, mult(c, a)), a), mult(b, a)) = mult(mult(b, mult(c, a)), mult(a, mult(b, a))))),
% 6.18/6.40 inference(transitivity,[status(thm)],[14328, 2])).
% 6.18/6.40 tff(14330,plain,
% 6.18/6.40 ((mult(mult(mult(b, mult(c, a)), a), mult(b, a)) = mult(mult(b, mult(c, a)), mult(a, mult(b, a)))) <=> (mult(mult(a, mult(a, b)), mult(b, mult(c, a))) = mult(a, mult(mult(a, b), mult(b, mult(c, a)))))),
% 6.18/6.40 inference(symmetry,[status(thm)],[14329])).
% 6.18/6.40 tff(14331,plain,
% 6.18/6.40 ((~(mult(mult(mult(b, mult(c, a)), a), mult(b, a)) = mult(mult(b, mult(c, a)), mult(a, mult(b, a))))) <=> (~(mult(mult(a, mult(a, b)), mult(b, mult(c, a))) = mult(a, mult(mult(a, b), mult(b, mult(c, a))))))),
% 6.18/6.40 inference(monotonicity,[status(thm)],[14330])).
% 6.18/6.40 tff(14332,plain,
% 6.18/6.40 (~(mult(mult(a, mult(a, b)), mult(b, mult(c, a))) = mult(a, mult(mult(a, b), mult(b, mult(c, a)))))),
% 6.18/6.40 inference(modus_ponens,[status(thm)],[10726, 14331])).
% 6.18/6.40 tff(14333,plain,
% 6.18/6.40 (((~(mult(mult(a, mult(a, b)), mult(b, mult(c, a))) = mult(a, mult(mult(a, b), mult(b, mult(c, a)))))) | (~(mult(mult(a, mult(b, mult(c, a))), mult(a, b)) = mult(a, mult(mult(b, mult(c, a)), mult(a, b)))))) | (mult(mult(a, mult(a, b)), mult(b, mult(c, a))) = mult(a, mult(mult(a, b), mult(b, mult(c, a)))))),
% 6.18/6.40 inference(tautology,[status(thm)],[])).
% 6.18/6.40 tff(14334,plain,
% 6.18/6.40 ((~(mult(mult(a, mult(a, b)), mult(b, mult(c, a))) = mult(a, mult(mult(a, b), mult(b, mult(c, a)))))) | (~(mult(mult(a, mult(b, mult(c, a))), mult(a, b)) = mult(a, mult(mult(b, mult(c, a)), mult(a, b)))))),
% 6.18/6.40 inference(unit_resolution,[status(thm)],[14333, 14332])).
% 6.18/6.40 tff(14335,plain,
% 6.18/6.40 (((~![X0: $i, X1: $i, X2: $i] : ((~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X2, X1)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X1, X2)))))) | (~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X1, X2)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X2, X1)))))))) | ((~((~(mult(mult(a, mult(a, b)), mult(b, mult(c, a))) = mult(a, mult(mult(b, mult(c, a)), mult(a, b))))) | (~(mult(mult(a, mult(b, mult(c, a))), mult(a, b)) = mult(a, mult(mult(a, b), mult(b, mult(c, a)))))))) | (~((~(mult(mult(a, mult(a, b)), mult(b, mult(c, a))) = mult(a, mult(mult(a, b), mult(b, mult(c, a)))))) | (~(mult(mult(a, mult(b, mult(c, a))), mult(a, b)) = mult(a, mult(mult(b, mult(c, a)), mult(a, b))))))))) <=> ((~![X0: $i, X1: $i, X2: $i] : ((~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X2, X1)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X1, X2)))))) | (~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X1, X2)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X2, X1)))))))) | (~((~(mult(mult(a, mult(a, b)), mult(b, mult(c, a))) = mult(a, mult(mult(b, mult(c, a)), mult(a, b))))) | (~(mult(mult(a, mult(b, mult(c, a))), mult(a, b)) = mult(a, mult(mult(a, b), mult(b, mult(c, a)))))))) | (~((~(mult(mult(a, mult(a, b)), mult(b, mult(c, a))) = mult(a, mult(mult(a, b), mult(b, mult(c, a)))))) | (~(mult(mult(a, mult(b, mult(c, a))), mult(a, b)) = mult(a, mult(mult(b, mult(c, a)), mult(a, b))))))))),
% 6.18/6.40 inference(rewrite,[status(thm)],[])).
% 6.18/6.40 tff(14336,plain,
% 6.18/6.40 ((~![X0: $i, X1: $i, X2: $i] : ((~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X2, X1)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X1, X2)))))) | (~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X1, X2)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X2, X1)))))))) | ((~((~(mult(mult(a, mult(a, b)), mult(b, mult(c, a))) = mult(a, mult(mult(b, mult(c, a)), mult(a, b))))) | (~(mult(mult(a, mult(b, mult(c, a))), mult(a, b)) = mult(a, mult(mult(a, b), mult(b, mult(c, a)))))))) | (~((~(mult(mult(a, mult(a, b)), mult(b, mult(c, a))) = mult(a, mult(mult(a, b), mult(b, mult(c, a)))))) | (~(mult(mult(a, mult(b, mult(c, a))), mult(a, b)) = mult(a, mult(mult(b, mult(c, a)), mult(a, b))))))))),
% 6.18/6.40 inference(quant_inst,[status(thm)],[])).
% 6.18/6.40 tff(14337,plain,
% 6.18/6.40 ((~![X0: $i, X1: $i, X2: $i] : ((~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X2, X1)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X1, X2)))))) | (~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X1, X2)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X2, X1)))))))) | (~((~(mult(mult(a, mult(a, b)), mult(b, mult(c, a))) = mult(a, mult(mult(b, mult(c, a)), mult(a, b))))) | (~(mult(mult(a, mult(b, mult(c, a))), mult(a, b)) = mult(a, mult(mult(a, b), mult(b, mult(c, a)))))))) | (~((~(mult(mult(a, mult(a, b)), mult(b, mult(c, a))) = mult(a, mult(mult(a, b), mult(b, mult(c, a)))))) | (~(mult(mult(a, mult(b, mult(c, a))), mult(a, b)) = mult(a, mult(mult(b, mult(c, a)), mult(a, b)))))))),
% 6.18/6.40 inference(modus_ponens,[status(thm)],[14336, 14335])).
% 6.18/6.40 tff(14338,plain,
% 6.18/6.40 ((~((~(mult(mult(a, mult(a, b)), mult(b, mult(c, a))) = mult(a, mult(mult(b, mult(c, a)), mult(a, b))))) | (~(mult(mult(a, mult(b, mult(c, a))), mult(a, b)) = mult(a, mult(mult(a, b), mult(b, mult(c, a)))))))) | (~((~(mult(mult(a, mult(a, b)), mult(b, mult(c, a))) = mult(a, mult(mult(a, b), mult(b, mult(c, a)))))) | (~(mult(mult(a, mult(b, mult(c, a))), mult(a, b)) = mult(a, mult(mult(b, mult(c, a)), mult(a, b)))))))),
% 6.18/6.40 inference(unit_resolution,[status(thm)],[14337, 30])).
% 6.18/6.40 tff(14339,plain,
% 6.18/6.40 (~((~(mult(mult(a, mult(a, b)), mult(b, mult(c, a))) = mult(a, mult(mult(b, mult(c, a)), mult(a, b))))) | (~(mult(mult(a, mult(b, mult(c, a))), mult(a, b)) = mult(a, mult(mult(a, b), mult(b, mult(c, a)))))))),
% 6.18/6.40 inference(unit_resolution,[status(thm)],[14338, 14334])).
% 6.18/6.40 tff(14340,plain,
% 6.18/6.40 (((~(mult(mult(a, mult(a, b)), mult(b, mult(c, a))) = mult(a, mult(mult(b, mult(c, a)), mult(a, b))))) | (~(mult(mult(a, mult(b, mult(c, a))), mult(a, b)) = mult(a, mult(mult(a, b), mult(b, mult(c, a))))))) | (mult(mult(a, mult(b, mult(c, a))), mult(a, b)) = mult(a, mult(mult(a, b), mult(b, mult(c, a)))))),
% 6.18/6.40 inference(tautology,[status(thm)],[])).
% 6.18/6.40 tff(14341,plain,
% 6.18/6.40 (mult(mult(a, mult(b, mult(c, a))), mult(a, b)) = mult(a, mult(mult(a, b), mult(b, mult(c, a))))),
% 6.18/6.40 inference(unit_resolution,[status(thm)],[14340, 14339])).
% 6.18/6.40 tff(14342,plain,
% 6.18/6.40 (mult(mult(mult(a, c), mult(b, a)), mult(a, b)) = mult(mult(a, mult(b, mult(c, a))), mult(a, b))),
% 6.18/6.40 inference(monotonicity,[status(thm)],[13471])).
% 6.18/6.40 tff(14343,plain,
% 6.18/6.40 (mult(mult(mult(mult(c, a), b), a), mult(a, b)) = mult(mult(mult(a, c), mult(b, a)), mult(a, b))),
% 6.18/6.40 inference(monotonicity,[status(thm)],[13984])).
% 6.18/6.40 tff(14344,plain,
% 6.18/6.40 (mult(mult(c, mult(mult(a, b), a)), mult(a, b)) = mult(mult(mult(mult(a, b), c), a), mult(a, b))),
% 6.18/6.40 inference(transitivity,[status(thm)],[4226, 14343, 14342, 14341, 14240, 14202, 14177, 11795, 13549])).
% 6.18/6.40 tff(14345,plain,
% 6.18/6.40 (rd(mult(mult(c, mult(mult(a, b), a)), mult(a, b)), mult(a, b)) = rd(mult(mult(mult(mult(a, b), c), a), mult(a, b)), mult(a, b))),
% 6.18/6.40 inference(monotonicity,[status(thm)],[14344])).
% 6.18/6.40 tff(14346,plain,
% 6.18/6.40 ((~![B: $i, A: $i] : (rd(mult(A, B), B) = A)) | (rd(mult(mult(c, mult(mult(a, b), a)), mult(a, b)), mult(a, b)) = mult(c, mult(mult(a, b), a)))),
% 6.18/6.40 inference(quant_inst,[status(thm)],[])).
% 6.18/6.40 tff(14347,plain,
% 6.18/6.40 (rd(mult(mult(c, mult(mult(a, b), a)), mult(a, b)), mult(a, b)) = mult(c, mult(mult(a, b), a))),
% 6.18/6.40 inference(unit_resolution,[status(thm)],[14346, 72])).
% 6.18/6.40 tff(14348,plain,
% 6.18/6.40 (mult(c, mult(mult(a, b), a)) = rd(mult(mult(c, mult(mult(a, b), a)), mult(a, b)), mult(a, b))),
% 6.18/6.40 inference(symmetry,[status(thm)],[14347])).
% 6.18/6.40 tff(14349,plain,
% 6.18/6.40 (mult(a, mult(b, mult(c, a))) = mult(mult(mult(a, b), c), a)),
% 6.18/6.40 inference(transitivity,[status(thm)],[13277, 13276, 10816, 13982, 12147, 14348, 14345, 11490])).
% 6.18/6.40 tff(14350,plain,
% 6.18/6.40 ($false),
% 6.18/6.40 inference(unit_resolution,[status(thm)],[194, 14349])).
% 6.18/6.40 tff(14351,plain,((mult(mult(mult(b, a), mult(a, c)), mult(b, a)) = mult(mult(b, a), mult(mult(b, a), mult(a, c)))) | (~(mult(mult(a, a), mult(b, a)) = mult(a, mult(a, mult(b, a))))) | (~(mult(mult(c, a), b) = mult(c, mult(b, a)))) | (~(mult(mult(mult(a, b), c), a) = mult(mult(a, b), mult(a, c)))) | (mult(mult(mult(b, mult(c, a)), a), mult(b, a)) = mult(mult(b, mult(c, a)), mult(a, mult(b, a)))) | (~(mult(mult(mult(a, c), a), b) = mult(mult(a, c), mult(b, a)))) | (~(mult(mult(mult(b, a), a), b) = mult(mult(b, a), mult(a, b)))) | (~(mult(mult(c, a), mult(a, b)) = mult(c, mult(mult(a, b), a)))) | (mult(mult(mult(a, c), b), a) = mult(mult(a, c), mult(b, a))) | (~(mult(mult(mult(mult(b, a), mult(a, c)), b), a) = mult(mult(mult(b, a), mult(a, c)), mult(a, b)))) | (~(mult(mult(mult(b, a), b), a) = mult(mult(b, a), mult(b, a)))) | (~(mult(mult(mult(mult(a, a), b), a), c) = mult(mult(mult(a, a), b), mult(c, a)))) | (mult(mult(a, c), mult(b, a)) = mult(a, mult(c, mult(b, a)))) | (~(mult(mult(a, mult(c, a)), b) = mult(a, mult(b, mult(c, a))))) | (~(mult(mult(mult(mult(c, a), b), a), mult(b, a)) = mult(mult(mult(c, a), b), mult(mult(b, a), a)))) | (~(mult(mult(mult(mult(b, a), mult(a, c)), a), b) = mult(mult(mult(b, a), mult(a, c)), mult(b, a)))) | (mult(a, b) = mult(b, a))), inference(lemma,lemma(discharge,[]))).
% 6.18/6.40 tff(14352,plain,
% 6.18/6.40 (mult(mult(mult(b, a), mult(a, c)), mult(b, a)) = mult(mult(b, a), mult(mult(b, a), mult(a, c)))),
% 6.18/6.40 inference(unit_resolution,[status(thm)],[14351, 10726, 342, 168, 11024, 1362, 12167, 9263, 614, 11947, 11025, 12437, 119, 1736, 9767, 10943, 1])).
% 6.18/6.40 tff(14353,plain,
% 6.18/6.40 (mult(mult(mult(a, c), a), mult(a, b)) = mult(mult(mult(a, c), mult(b, a)), a)),
% 6.18/6.40 inference(transitivity,[status(thm)],[10864, 10827, 11500])).
% 6.18/6.40 tff(14354,plain,
% 6.18/6.40 (mult(b, mult(mult(mult(a, c), a), mult(a, b))) = mult(b, mult(mult(mult(a, c), mult(b, a)), a))),
% 6.18/6.40 inference(monotonicity,[status(thm)],[14353])).
% 6.18/6.40 tff(14355,plain,
% 6.18/6.40 (mult(b, mult(mult(mult(a, c), mult(b, a)), a)) = mult(b, mult(mult(mult(a, c), a), mult(a, b)))),
% 6.18/6.40 inference(symmetry,[status(thm)],[14354])).
% 6.18/6.40 tff(14356,plain,
% 6.18/6.40 ((~(mult(mult(a, a), mult(b, mult(c, a))) = mult(a, mult(a, mult(b, mult(c, a)))))) | (~(mult(mult(a, mult(b, mult(c, a))), a) = mult(a, mult(mult(b, mult(c, a)), a))))),
% 6.18/6.40 inference(unit_resolution,[status(thm)],[13575, 13369])).
% 6.18/6.40 tff(14357,plain,
% 6.18/6.40 (~((~(mult(mult(a, a), mult(b, mult(c, a))) = mult(a, mult(mult(b, mult(c, a)), a)))) | (~(mult(mult(a, mult(b, mult(c, a))), a) = mult(a, mult(a, mult(b, mult(c, a)))))))),
% 6.18/6.40 inference(unit_resolution,[status(thm)],[13569, 14356])).
% 6.18/6.40 tff(14358,plain,
% 6.18/6.40 (mult(mult(a, mult(b, mult(c, a))), a) = mult(a, mult(a, mult(b, mult(c, a))))),
% 6.18/6.40 inference(unit_resolution,[status(thm)],[13393, 14357])).
% 6.18/6.40 tff(14359,plain,
% 6.18/6.40 (mult(a, mult(a, mult(b, mult(c, a)))) = mult(mult(a, mult(b, mult(c, a))), a)),
% 6.18/6.40 inference(symmetry,[status(thm)],[14358])).
% 6.18/6.40 tff(14360,plain,
% 6.18/6.40 (mult(a, mult(mult(a, c), mult(b, a))) = mult(mult(mult(a, c), mult(b, a)), a)),
% 6.18/6.40 inference(transitivity,[status(thm)],[13980, 14359, 13473])).
% 6.18/6.40 tff(14361,plain,
% 6.18/6.40 (mult(b, mult(a, mult(mult(a, c), mult(b, a)))) = mult(b, mult(mult(mult(a, c), mult(b, a)), a))),
% 6.18/6.40 inference(monotonicity,[status(thm)],[14360])).
% 6.18/6.40 tff(14362,plain,
% 6.18/6.40 (mult(b, mult(a, mult(mult(a, c), mult(b, a)))) = mult(b, mult(mult(mult(a, c), a), mult(a, b)))),
% 6.18/6.40 inference(transitivity,[status(thm)],[14361, 14355])).
% 6.18/6.40 tff(14363,plain,
% 6.18/6.40 (mult(mult(a, a), mult(b, mult(c, a))) = mult(a, mult(mult(b, mult(c, a)), a))),
% 6.18/6.40 inference(unit_resolution,[status(thm)],[13501, 14357])).
% 6.18/6.40 tff(14364,plain,
% 6.18/6.40 (~(mult(mult(mult(a, a), c), mult(b, a)) = mult(mult(a, a), mult(mult(b, a), c)))),
% 6.18/6.40 inference(unit_resolution,[status(thm)],[13521, 13369, 914, 789, 11017, 342, 119, 10864, 9263, 1362, 1736])).
% 6.18/6.40 tff(14365,plain,
% 6.18/6.40 ((~(mult(mult(mult(a, a), c), mult(b, a)) = mult(mult(a, a), mult(mult(b, a), c)))) | (~(mult(mult(mult(a, a), mult(b, a)), c) = mult(mult(a, a), mult(c, mult(b, a)))))),
% 6.18/6.40 inference(unit_resolution,[status(thm)],[13498, 14364])).
% 6.18/6.40 tff(14366,plain,
% 6.18/6.40 (~((~(mult(mult(mult(a, a), c), mult(b, a)) = mult(mult(a, a), mult(c, mult(b, a))))) | (~(mult(mult(mult(a, a), mult(b, a)), c) = mult(mult(a, a), mult(mult(b, a), c)))))),
% 6.18/6.40 inference(unit_resolution,[status(thm)],[11117, 14365])).
% 6.18/6.40 tff(14367,plain,
% 6.18/6.40 (mult(mult(mult(a, a), mult(b, a)), c) = mult(mult(a, a), mult(mult(b, a), c))),
% 6.18/6.40 inference(unit_resolution,[status(thm)],[13495, 14366])).
% 6.18/6.40 tff(14368,plain,
% 6.18/6.40 (~(mult(mult(a, c), mult(mult(a, b), a)) = mult(a, mult(mult(mult(a, b), a), c)))),
% 6.18/6.40 inference(unit_resolution,[status(thm)],[13410, 14358, 1362, 13464, 1736])).
% 6.18/6.40 tff(14369,plain,
% 6.18/6.40 ((~(mult(mult(a, c), mult(mult(a, b), a)) = mult(a, mult(mult(mult(a, b), a), c)))) | (~(mult(mult(a, mult(mult(a, b), a)), c) = mult(a, mult(c, mult(mult(a, b), a)))))),
% 6.18/6.40 inference(unit_resolution,[status(thm)],[13412, 14368])).
% 6.18/6.40 tff(14370,plain,
% 6.18/6.40 (mult(mult(a, c), mult(mult(a, b), a)) = mult(a, mult(c, mult(mult(a, b), a)))),
% 6.18/6.40 inference(unit_resolution,[status(thm)],[13294, 14369])).
% 6.18/6.40 tff(14371,plain,
% 6.18/6.40 (mult(mult(a, mult(mult(a, b), a)), c) = mult(a, mult(mult(mult(a, b), a), c))),
% 6.18/6.40 inference(unit_resolution,[status(thm)],[10858, 14370])).
% 6.18/6.40 tff(14372,plain,
% 6.18/6.40 (mult(a, mult(mult(mult(a, b), a), c)) = mult(mult(a, mult(mult(a, b), a)), c)),
% 6.18/6.40 inference(symmetry,[status(thm)],[14371])).
% 6.18/6.40 tff(14373,plain,
% 6.18/6.40 (mult(a, mult(mult(mult(a, b), a), c)) = mult(a, mult(mult(b, a), mult(a, c)))),
% 6.18/6.40 inference(transitivity,[status(thm)],[14372, 11958, 14367, 13492, 14363, 13598])).
% 6.18/6.40 tff(14374,plain,
% 6.18/6.40 (ld(a, mult(a, mult(mult(mult(a, b), a), c))) = ld(a, mult(a, mult(mult(b, a), mult(a, c))))),
% 6.18/6.40 inference(monotonicity,[status(thm)],[14373])).
% 6.18/6.40 tff(14375,plain,
% 6.18/6.40 (mult(mult(mult(a, b), a), c) = mult(mult(b, a), mult(a, c))),
% 6.18/6.40 inference(transitivity,[status(thm)],[11988, 14374, 12181])).
% 6.18/6.40 tff(14376,plain,
% 6.18/6.40 (mult(mult(b, a), mult(mult(mult(a, b), a), c)) = mult(mult(b, a), mult(mult(b, a), mult(a, c)))),
% 6.18/6.40 inference(monotonicity,[status(thm)],[14375])).
% 6.18/6.40 tff(14377,plain,
% 6.18/6.40 (mult(mult(b, a), mult(mult(mult(a, b), a), c)) = mult(mult(mult(b, mult(c, a)), a), mult(b, a))),
% 6.18/6.40 inference(transitivity,[status(thm)],[14376, 8736, 3535])).
% 6.18/6.40 tff(14378,plain,
% 6.18/6.40 ((mult(mult(mult(b, a), c), mult(mult(a, b), a)) = mult(mult(b, a), mult(mult(mult(a, b), a), c))) <=> (mult(mult(b, mult(c, a)), mult(a, mult(b, a))) = mult(mult(mult(b, mult(c, a)), a), mult(b, a)))),
% 6.18/6.40 inference(monotonicity,[status(thm)],[13987, 14377])).
% 6.18/6.40 tff(14379,plain,
% 6.18/6.40 ((mult(mult(mult(b, a), c), mult(mult(a, b), a)) = mult(mult(b, a), mult(mult(mult(a, b), a), c))) <=> (mult(mult(mult(b, mult(c, a)), a), mult(b, a)) = mult(mult(b, mult(c, a)), mult(a, mult(b, a))))),
% 6.18/6.40 inference(transitivity,[status(thm)],[14378, 2])).
% 6.18/6.40 tff(14380,plain,
% 6.18/6.40 ((mult(mult(mult(b, mult(c, a)), a), mult(b, a)) = mult(mult(b, mult(c, a)), mult(a, mult(b, a)))) <=> (mult(mult(mult(b, a), c), mult(mult(a, b), a)) = mult(mult(b, a), mult(mult(mult(a, b), a), c)))),
% 6.18/6.40 inference(symmetry,[status(thm)],[14379])).
% 6.18/6.40 tff(14381,plain,
% 6.18/6.40 ((~(mult(mult(mult(b, mult(c, a)), a), mult(b, a)) = mult(mult(b, mult(c, a)), mult(a, mult(b, a))))) <=> (~(mult(mult(mult(b, a), c), mult(mult(a, b), a)) = mult(mult(b, a), mult(mult(mult(a, b), a), c))))),
% 6.18/6.40 inference(monotonicity,[status(thm)],[14380])).
% 6.18/6.40 tff(14382,plain,
% 6.18/6.40 (~(mult(mult(mult(b, a), c), mult(mult(a, b), a)) = mult(mult(b, a), mult(mult(mult(a, b), a), c)))),
% 6.18/6.40 inference(modus_ponens,[status(thm)],[10726, 14381])).
% 6.18/6.40 tff(14383,plain,
% 6.18/6.40 ((~(mult(mult(mult(b, a), mult(mult(a, b), a)), c) = mult(mult(b, a), mult(c, mult(mult(a, b), a))))) | (~(mult(mult(mult(b, a), c), mult(mult(a, b), a)) = mult(mult(b, a), mult(mult(mult(a, b), a), c))))),
% 6.18/6.40 inference(unit_resolution,[status(thm)],[11237, 14382])).
% 6.18/6.40 tff(14384,plain,
% 6.18/6.40 (~((~(mult(mult(mult(b, a), mult(mult(a, b), a)), c) = mult(mult(b, a), mult(mult(mult(a, b), a), c)))) | (~(mult(mult(mult(b, a), c), mult(mult(a, b), a)) = mult(mult(b, a), mult(c, mult(mult(a, b), a))))))),
% 6.18/6.40 inference(unit_resolution,[status(thm)],[11235, 14383])).
% 6.18/6.40 tff(14385,plain,
% 6.18/6.40 (mult(mult(mult(b, a), c), mult(mult(a, b), a)) = mult(mult(b, a), mult(c, mult(mult(a, b), a)))),
% 6.18/6.40 inference(unit_resolution,[status(thm)],[11230, 14384])).
% 6.18/6.40 tff(14386,plain,
% 6.18/6.40 (mult(mult(b, a), mult(c, mult(mult(a, b), a))) = mult(mult(mult(b, a), c), mult(mult(a, b), a))),
% 6.18/6.40 inference(symmetry,[status(thm)],[14385])).
% 6.18/6.40 tff(14387,plain,
% 6.18/6.40 (mult(a, mult(a, mult(b, mult(c, a)))) = mult(a, mult(mult(a, c), mult(b, a)))),
% 6.18/6.40 inference(symmetry,[status(thm)],[13980])).
% 6.18/6.40 tff(14388,plain,
% 6.18/6.40 (mult(a, mult(c, mult(mult(a, b), a))) = mult(mult(a, c), mult(mult(a, b), a))),
% 6.18/6.40 inference(symmetry,[status(thm)],[14370])).
% 6.18/6.40 tff(14389,plain,
% 6.18/6.40 (mult(a, mult(c, mult(mult(a, b), a))) = mult(a, mult(mult(a, c), mult(b, a)))),
% 6.18/6.41 inference(transitivity,[status(thm)],[14388, 10827, 11500, 13472, 14358, 14387])).
% 6.18/6.41 tff(14390,plain,
% 6.18/6.41 (ld(a, mult(a, mult(c, mult(mult(a, b), a)))) = ld(a, mult(a, mult(mult(a, c), mult(b, a))))),
% 6.18/6.41 inference(monotonicity,[status(thm)],[14389])).
% 6.18/6.41 tff(14391,plain,
% 6.18/6.41 (ld(a, mult(a, mult(mult(a, c), mult(b, a)))) = ld(a, mult(a, mult(c, mult(mult(a, b), a))))),
% 6.18/6.41 inference(symmetry,[status(thm)],[14390])).
% 6.18/6.41 tff(14392,plain,
% 6.18/6.41 (mult(mult(a, c), mult(b, a)) = mult(mult(mult(c, a), b), a)),
% 6.18/6.41 inference(transitivity,[status(thm)],[10816, 14391, 12147, 2808])).
% 6.18/6.41 tff(14393,plain,
% 6.18/6.41 (mult(mult(b, a), mult(mult(a, c), mult(b, a))) = mult(mult(b, a), mult(mult(mult(c, a), b), a))),
% 6.18/6.41 inference(monotonicity,[status(thm)],[14392])).
% 6.18/6.41 tff(14394,plain,
% 6.18/6.41 (mult(mult(b, a), mult(mult(a, c), mult(b, a))) = mult(mult(b, mult(mult(a, c), a)), mult(a, b))),
% 6.18/6.41 inference(transitivity,[status(thm)],[14393, 11948, 14386, 11155, 7884, 11596, 11316, 11595])).
% 6.18/6.41 tff(14395,plain,
% 6.18/6.41 ((mult(mult(b, a), mult(mult(a, c), mult(b, a))) = mult(b, mult(a, mult(mult(a, c), mult(b, a))))) <=> (mult(mult(b, mult(mult(a, c), a)), mult(a, b)) = mult(b, mult(mult(mult(a, c), a), mult(a, b))))),
% 6.18/6.41 inference(monotonicity,[status(thm)],[14394, 14362])).
% 6.18/6.41 tff(14396,plain,
% 6.18/6.41 ((mult(mult(b, mult(mult(a, c), a)), mult(a, b)) = mult(b, mult(mult(mult(a, c), a), mult(a, b)))) <=> (mult(mult(b, a), mult(mult(a, c), mult(b, a))) = mult(b, mult(a, mult(mult(a, c), mult(b, a)))))),
% 6.18/6.41 inference(symmetry,[status(thm)],[14395])).
% 6.18/6.41 tff(14397,plain,
% 6.18/6.41 (mult(b, mult(mult(a, c), mult(mult(a, b), a))) = mult(b, mult(mult(mult(a, c), mult(b, a)), a))),
% 6.18/6.41 inference(monotonicity,[status(thm)],[11926])).
% 6.18/6.41 tff(14398,plain,
% 6.18/6.41 (mult(b, mult(mult(a, c), mult(mult(a, b), a))) = mult(b, mult(mult(mult(a, c), a), mult(a, b)))),
% 6.18/6.41 inference(transitivity,[status(thm)],[14397, 14355])).
% 6.18/6.41 tff(14399,plain,
% 6.18/6.41 (mult(mult(b, a), mult(mult(a, c), mult(b, a))) = mult(mult(b, mult(c, a)), mult(a, mult(b, a)))),
% 6.18/6.41 inference(transitivity,[status(thm)],[14393, 11948, 14386, 11155, 4196])).
% 6.18/6.41 tff(14400,plain,
% 6.18/6.41 ((mult(mult(mult(b, a), mult(a, c)), mult(b, a)) = mult(mult(b, a), mult(mult(a, c), mult(b, a)))) <=> (mult(mult(mult(b, mult(c, a)), a), mult(b, a)) = mult(mult(b, mult(c, a)), mult(a, mult(b, a))))),
% 6.18/6.41 inference(monotonicity,[status(thm)],[3535, 14399])).
% 6.18/6.41 tff(14401,plain,
% 6.18/6.41 ((mult(mult(mult(b, mult(c, a)), a), mult(b, a)) = mult(mult(b, mult(c, a)), mult(a, mult(b, a)))) <=> (mult(mult(mult(b, a), mult(a, c)), mult(b, a)) = mult(mult(b, a), mult(mult(a, c), mult(b, a))))),
% 6.18/6.41 inference(symmetry,[status(thm)],[14400])).
% 6.18/6.41 tff(14402,plain,
% 6.18/6.41 ((~(mult(mult(mult(b, mult(c, a)), a), mult(b, a)) = mult(mult(b, mult(c, a)), mult(a, mult(b, a))))) <=> (~(mult(mult(mult(b, a), mult(a, c)), mult(b, a)) = mult(mult(b, a), mult(mult(a, c), mult(b, a)))))),
% 6.18/6.41 inference(monotonicity,[status(thm)],[14401])).
% 6.18/6.41 tff(14403,plain,
% 6.18/6.41 (~(mult(mult(mult(b, a), mult(a, c)), mult(b, a)) = mult(mult(b, a), mult(mult(a, c), mult(b, a))))),
% 6.18/6.41 inference(modus_ponens,[status(thm)],[10726, 14402])).
% 6.18/6.41 tff(14404,plain,
% 6.18/6.41 ((~(mult(mult(mult(b, a), mult(a, c)), mult(b, a)) = mult(mult(b, a), mult(mult(a, c), mult(b, a))))) | (~(mult(mult(mult(b, a), mult(b, a)), mult(a, c)) = mult(mult(b, a), mult(mult(b, a), mult(a, c)))))),
% 6.18/6.41 inference(unit_resolution,[status(thm)],[11151, 14403])).
% 6.18/6.41 tff(14405,plain,
% 6.18/6.41 (~((~(mult(mult(mult(b, a), mult(b, a)), mult(a, c)) = mult(mult(b, a), mult(mult(a, c), mult(b, a))))) | (~(mult(mult(mult(b, a), mult(a, c)), mult(b, a)) = mult(mult(b, a), mult(mult(b, a), mult(a, c))))))),
% 6.18/6.41 inference(unit_resolution,[status(thm)],[11149, 14404])).
% 6.18/6.41 tff(14406,plain,
% 6.18/6.41 (mult(mult(mult(b, a), mult(b, a)), mult(a, c)) = mult(mult(b, a), mult(mult(a, c), mult(b, a)))),
% 6.18/6.41 inference(unit_resolution,[status(thm)],[11995, 14405])).
% 6.18/6.41 tff(14407,plain,
% 6.18/6.41 (mult(mult(b, mult(mult(a, b), a)), mult(a, c)) = mult(mult(b, mult(mult(a, c), a)), mult(a, b))),
% 6.18/6.41 inference(transitivity,[status(thm)],[12042, 14406, 14393, 11948, 14386, 11155, 7884, 11596, 11316, 11595])).
% 6.18/6.41 tff(14408,plain,
% 6.18/6.41 ((mult(mult(b, mult(mult(a, b), a)), mult(a, c)) = mult(b, mult(mult(a, c), mult(mult(a, b), a)))) <=> (mult(mult(b, mult(mult(a, c), a)), mult(a, b)) = mult(b, mult(mult(mult(a, c), a), mult(a, b))))),
% 6.18/6.41 inference(monotonicity,[status(thm)],[14407, 14398])).
% 6.18/6.41 tff(14409,plain,
% 6.18/6.41 ((mult(mult(b, mult(mult(a, b), a)), mult(a, c)) = mult(b, mult(mult(a, c), mult(mult(a, b), a)))) <=> (mult(mult(b, a), mult(mult(a, c), mult(b, a))) = mult(b, mult(a, mult(mult(a, c), mult(b, a)))))),
% 6.18/6.41 inference(transitivity,[status(thm)],[14408, 14396])).
% 6.18/6.41 tff(14410,plain,
% 6.18/6.41 ((~(mult(mult(b, mult(mult(a, b), a)), mult(a, c)) = mult(b, mult(mult(a, c), mult(mult(a, b), a))))) <=> (~(mult(mult(b, a), mult(mult(a, c), mult(b, a))) = mult(b, mult(a, mult(mult(a, c), mult(b, a))))))),
% 6.18/6.41 inference(monotonicity,[status(thm)],[14409])).
% 6.18/6.41 tff(14411,plain,
% 6.18/6.41 (~(mult(mult(a, mult(b, mult(c, a))), b) = mult(a, mult(mult(b, mult(c, a)), b)))),
% 6.18/6.41 inference(unit_resolution,[status(thm)],[14235, 14358, 119, 342, 1362])).
% 6.18/6.41 tff(14412,plain,
% 6.18/6.41 ((~(mult(mult(a, b), mult(b, mult(c, a))) = mult(a, mult(b, mult(b, mult(c, a)))))) | (~(mult(mult(a, mult(b, mult(c, a))), b) = mult(a, mult(mult(b, mult(c, a)), b))))),
% 6.18/6.41 inference(unit_resolution,[status(thm)],[13720, 14411])).
% 6.18/6.41 tff(14413,plain,
% 6.18/6.41 (~((~(mult(mult(a, b), mult(b, mult(c, a))) = mult(a, mult(mult(b, mult(c, a)), b)))) | (~(mult(mult(a, mult(b, mult(c, a))), b) = mult(a, mult(b, mult(b, mult(c, a)))))))),
% 6.18/6.41 inference(unit_resolution,[status(thm)],[13725, 14412])).
% 6.18/6.41 tff(14414,plain,
% 6.18/6.41 (mult(mult(a, b), mult(b, mult(c, a))) = mult(a, mult(mult(b, mult(c, a)), b))),
% 6.18/6.41 inference(unit_resolution,[status(thm)],[13727, 14413])).
% 6.18/6.41 tff(14415,plain,
% 6.18/6.41 (mult(a, mult(mult(b, mult(c, a)), b)) = mult(mult(a, b), mult(b, mult(c, a)))),
% 6.18/6.41 inference(symmetry,[status(thm)],[13754])).
% 6.18/6.41 tff(14416,plain,
% 6.18/6.41 (mult(a, mult(mult(mult(a, b), a), c)) = mult(a, mult(mult(b, a), mult(a, c)))),
% 6.18/6.41 inference(transitivity,[status(thm)],[13021, 11958, 13816, 13492, 14069, 13598])).
% 6.18/6.41 tff(14417,plain,
% 6.18/6.41 (ld(a, mult(a, mult(mult(mult(a, b), a), c))) = ld(a, mult(a, mult(mult(b, a), mult(a, c))))),
% 6.18/6.41 inference(monotonicity,[status(thm)],[14416])).
% 6.18/6.41 tff(14418,plain,
% 6.18/6.41 (ld(a, mult(a, mult(mult(b, a), mult(a, c)))) = ld(a, mult(a, mult(mult(mult(a, b), a), c)))),
% 6.18/6.41 inference(symmetry,[status(thm)],[14417])).
% 6.18/6.41 tff(14419,plain,
% 6.18/6.41 (mult(mult(b, a), mult(a, c)) = mult(mult(a, b), mult(c, a))),
% 6.18/6.41 inference(transitivity,[status(thm)],[12189, 14418, 11987, 9222])).
% 6.18/6.41 tff(14420,plain,
% 6.18/6.41 (mult(mult(mult(b, a), mult(a, c)), b) = mult(mult(mult(a, b), mult(c, a)), b)),
% 6.18/6.41 inference(monotonicity,[status(thm)],[14419])).
% 6.18/6.41 tff(14421,plain,
% 6.18/6.41 (mult(a, mult(a, mult(b, mult(c, a)))) = mult(a, mult(mult(a, c), mult(b, a)))),
% 6.18/6.41 inference(symmetry,[status(thm)],[14051])).
% 6.18/6.41 tff(14422,plain,
% 6.18/6.41 (mult(a, mult(c, mult(mult(a, b), a))) = mult(a, mult(mult(a, c), mult(b, a)))),
% 6.18/6.41 inference(transitivity,[status(thm)],[11035, 10827, 10826, 13738, 11969, 14421])).
% 6.18/6.41 tff(14423,plain,
% 6.18/6.41 (ld(a, mult(a, mult(c, mult(mult(a, b), a)))) = ld(a, mult(a, mult(mult(a, c), mult(b, a))))),
% 6.18/6.41 inference(monotonicity,[status(thm)],[14422])).
% 6.18/6.41 tff(14424,plain,
% 6.18/6.41 (ld(a, mult(a, mult(mult(a, c), mult(b, a)))) = ld(a, mult(a, mult(c, mult(mult(a, b), a))))),
% 6.18/6.41 inference(symmetry,[status(thm)],[14423])).
% 6.18/6.41 tff(14425,plain,
% 6.18/6.41 (mult(mult(a, c), mult(b, a)) = mult(mult(mult(c, a), b), a)),
% 6.18/6.41 inference(transitivity,[status(thm)],[10816, 14424, 12147, 2808])).
% 6.18/6.41 tff(14426,plain,
% 6.18/6.41 (mult(mult(b, a), mult(mult(a, c), mult(b, a))) = mult(mult(b, a), mult(mult(mult(c, a), b), a))),
% 6.18/6.41 inference(monotonicity,[status(thm)],[14425])).
% 6.18/6.41 tff(14427,assumption,(mult(mult(b, mult(mult(a, b), a)), mult(a, c)) = mult(b, mult(mult(a, c), mult(mult(a, b), a)))), introduced(assumption)).
% 6.18/6.41 tff(14428,plain,
% 6.18/6.41 (mult(b, mult(mult(a, c), mult(mult(a, b), a))) = mult(mult(b, mult(mult(a, b), a)), mult(a, c))),
% 6.18/6.41 inference(symmetry,[status(thm)],[14427])).
% 6.18/6.41 tff(14429,plain,
% 6.18/6.41 (mult(mult(mult(a, c), mult(b, a)), a) = mult(mult(a, c), mult(mult(a, b), a))),
% 6.18/6.41 inference(transitivity,[status(thm)],[10825, 12406])).
% 6.18/6.41 tff(14430,plain,
% 6.18/6.41 (mult(b, mult(mult(mult(a, c), mult(b, a)), a)) = mult(b, mult(mult(a, c), mult(mult(a, b), a)))),
% 6.18/6.41 inference(monotonicity,[status(thm)],[14429])).
% 6.18/6.41 tff(14431,plain,
% 6.18/6.41 (mult(b, mult(mult(a, mult(b, mult(c, a))), a)) = mult(b, mult(mult(mult(a, c), mult(b, a)), a))),
% 6.18/6.41 inference(monotonicity,[status(thm)],[13739])).
% 6.18/6.41 tff(14432,plain,
% 6.18/6.41 (mult(mult(mult(b, a), mult(b, mult(c, a))), a) = mult(mult(mult(mult(b, a), mult(a, c)), b), a)),
% 6.18/6.41 inference(transitivity,[status(thm)],[13746, 14431, 14430, 14428, 12042, 12036, 14426, 11948, 11397, 11155, 7884, 11596])).
% 6.18/6.41 tff(14433,plain,
% 6.18/6.41 (rd(mult(mult(mult(b, a), mult(b, mult(c, a))), a), a) = rd(mult(mult(mult(mult(b, a), mult(a, c)), b), a), a)),
% 6.18/6.41 inference(monotonicity,[status(thm)],[14432])).
% 6.18/6.41 tff(14434,plain,
% 6.18/6.41 (mult(mult(b, a), mult(b, mult(c, a))) = mult(mult(a, b), mult(b, mult(c, a)))),
% 6.18/6.41 inference(transitivity,[status(thm)],[14272, 14433, 7854, 14420, 11829, 14415])).
% 6.18/6.41 tff(14435,plain,
% 6.18/6.41 (rd(mult(mult(b, a), mult(b, mult(c, a))), mult(b, mult(c, a))) = rd(mult(mult(a, b), mult(b, mult(c, a))), mult(b, mult(c, a)))),
% 6.18/6.41 inference(monotonicity,[status(thm)],[14434])).
% 6.18/6.41 tff(14436,plain,
% 6.18/6.41 (rd(mult(mult(a, b), mult(b, mult(c, a))), mult(b, mult(c, a))) = rd(mult(mult(b, a), mult(b, mult(c, a))), mult(b, mult(c, a)))),
% 6.18/6.41 inference(symmetry,[status(thm)],[14435])).
% 6.18/6.41 tff(14437,plain,
% 6.18/6.41 (mult(a, b) = mult(b, a)),
% 6.18/6.41 inference(transitivity,[status(thm)],[13759, 14436, 13730])).
% 6.18/6.41 tff(14438,plain,
% 6.18/6.41 ($false),
% 6.18/6.41 inference(unit_resolution,[status(thm)],[1, 14437])).
% 6.18/6.41 tff(14439,plain,((~(mult(mult(b, mult(mult(a, b), a)), mult(a, c)) = mult(b, mult(mult(a, c), mult(mult(a, b), a))))) | (mult(a, b) = mult(b, a)) | (~(mult(mult(a, b), mult(b, mult(c, a))) = mult(a, mult(mult(b, mult(c, a)), b)))) | (~(mult(mult(mult(a, a), mult(b, a)), c) = mult(mult(a, a), mult(mult(b, a), c)))) | (~(mult(mult(a, a), mult(b, mult(c, a))) = mult(a, mult(mult(b, mult(c, a)), a)))) | (~(mult(mult(a, a), mult(b, a)) = mult(a, mult(a, mult(b, a))))) | (~(mult(mult(mult(b, a), mult(b, a)), mult(a, c)) = mult(mult(b, a), mult(mult(a, c), mult(b, a))))) | (~(mult(mult(mult(b, a), c), mult(mult(a, b), a)) = mult(mult(b, a), mult(c, mult(mult(a, b), a))))) | (~(mult(mult(a, mult(b, mult(c, a))), a) = mult(a, mult(a, mult(b, mult(c, a)))))) | (~(mult(mult(a, c), mult(mult(a, b), a)) = mult(a, mult(c, mult(mult(a, b), a))))) | (~(mult(mult(mult(a, c), mult(b, a)), a) = mult(mult(a, c), mult(a, mult(b, a))))) | (~(mult(mult(a, c), mult(b, a)) = mult(a, mult(mult(b, a), c)))) | (~(mult(mult(mult(b, a), b), a) = mult(mult(b, a), mult(b, a))))), inference(lemma,lemma(discharge,[]))).
% 6.18/6.41 tff(14440,plain,
% 6.18/6.41 (~(mult(mult(b, mult(mult(a, b), a)), mult(a, c)) = mult(b, mult(mult(a, c), mult(mult(a, b), a))))),
% 6.18/6.41 inference(unit_resolution,[status(thm)],[14439, 14414, 1, 14367, 14363, 11024, 14406, 14385, 14358, 14370, 11029, 13275, 11025])).
% 6.18/6.41 tff(14441,plain,
% 6.18/6.41 (~(mult(mult(b, a), mult(mult(a, c), mult(b, a))) = mult(b, mult(a, mult(mult(a, c), mult(b, a)))))),
% 6.18/6.41 inference(modus_ponens,[status(thm)],[14440, 14410])).
% 6.18/6.41 tff(14442,plain,
% 6.18/6.41 ((~(mult(mult(b, a), mult(mult(a, c), mult(b, a))) = mult(b, mult(a, mult(mult(a, c), mult(b, a)))))) | (~(mult(mult(b, mult(mult(a, c), mult(b, a))), a) = mult(b, mult(mult(mult(a, c), mult(b, a)), a))))),
% 6.18/6.41 inference(unit_resolution,[status(thm)],[13776, 14441])).
% 6.18/6.41 tff(14443,plain,
% 6.18/6.41 ((mult(mult(b, a), mult(mult(a, c), mult(b, a))) = mult(b, mult(mult(mult(a, c), mult(b, a)), a))) <=> (mult(mult(b, mult(mult(a, c), a)), mult(a, b)) = mult(b, mult(mult(mult(a, c), a), mult(a, b))))),
% 6.18/6.41 inference(monotonicity,[status(thm)],[14394, 14355])).
% 6.18/6.41 tff(14444,plain,
% 6.18/6.41 ((mult(mult(b, mult(mult(a, c), a)), mult(a, b)) = mult(b, mult(mult(mult(a, c), a), mult(a, b)))) <=> (mult(mult(b, a), mult(mult(a, c), mult(b, a))) = mult(b, mult(mult(mult(a, c), mult(b, a)), a)))),
% 6.18/6.41 inference(symmetry,[status(thm)],[14443])).
% 6.18/6.41 tff(14445,plain,
% 6.18/6.41 ((mult(mult(b, mult(mult(a, b), a)), mult(a, c)) = mult(b, mult(mult(a, c), mult(mult(a, b), a)))) <=> (mult(mult(b, a), mult(mult(a, c), mult(b, a))) = mult(b, mult(mult(mult(a, c), mult(b, a)), a)))),
% 6.18/6.41 inference(transitivity,[status(thm)],[14408, 14444])).
% 6.18/6.41 tff(14446,plain,
% 6.18/6.41 ((~(mult(mult(b, mult(mult(a, b), a)), mult(a, c)) = mult(b, mult(mult(a, c), mult(mult(a, b), a))))) <=> (~(mult(mult(b, a), mult(mult(a, c), mult(b, a))) = mult(b, mult(mult(mult(a, c), mult(b, a)), a))))),
% 6.18/6.41 inference(monotonicity,[status(thm)],[14445])).
% 6.18/6.41 tff(14447,plain,
% 6.18/6.41 (~(mult(mult(b, a), mult(mult(a, c), mult(b, a))) = mult(b, mult(mult(mult(a, c), mult(b, a)), a)))),
% 6.18/6.41 inference(modus_ponens,[status(thm)],[14440, 14446])).
% 6.18/6.41 tff(14448,plain,
% 6.18/6.41 ((~(mult(mult(b, a), mult(mult(a, c), mult(b, a))) = mult(b, mult(mult(mult(a, c), mult(b, a)), a)))) | (~(mult(mult(b, mult(mult(a, c), mult(b, a))), a) = mult(b, mult(a, mult(mult(a, c), mult(b, a))))))),
% 6.18/6.41 inference(unit_resolution,[status(thm)],[13790, 14447])).
% 6.18/6.41 tff(14449,plain,
% 6.18/6.41 ($false),
% 6.18/6.41 inference(unit_resolution,[status(thm)],[13788, 14448, 14442])).
% 6.18/6.41 tff(14450,plain,((mult(mult(a, mult(b, mult(c, a))), a) = mult(a, mult(mult(b, mult(c, a)), a))) | (~(mult(mult(mult(a, c), a), mult(a, b)) = mult(mult(a, c), mult(mult(a, b), a)))) | (~(mult(mult(mult(mult(b, a), mult(a, c)), b), a) = mult(mult(mult(b, a), mult(a, c)), mult(a, b)))) | (~(mult(mult(mult(b, a), b), a) = mult(mult(b, a), mult(b, a)))) | (mult(a, b) = mult(b, a)) | (~(mult(mult(a, a), mult(b, a)) = mult(a, mult(a, mult(b, a))))) | (mult(mult(mult(b, mult(c, a)), a), mult(b, a)) = mult(mult(b, mult(c, a)), mult(a, mult(b, a)))) | (~(mult(mult(mult(b, a), mult(a, c)), mult(b, a)) = mult(mult(b, a), mult(mult(b, a), mult(a, c))))) | (mult(mult(a, c), mult(b, a)) = mult(a, mult(c, mult(b, a)))) | (~(mult(mult(c, a), b) = mult(c, mult(b, a)))) | (~(mult(mult(mult(a, c), a), b) = mult(mult(a, c), mult(b, a)))) | (~(mult(mult(a, mult(c, a)), b) = mult(a, mult(b, mult(c, a))))) | (~(mult(mult(a, mult(a, c)), b) = mult(a, mult(mult(a, c), b)))) | (~(mult(mult(mult(a, a), c), b) = mult(mult(a, a), mult(c, b)))) | (~(mult(mult(mult(a, b), a), mult(a, c)) = mult(mult(a, b), mult(mult(a, c), a)))) | (~(mult(mult(c, a), mult(a, b)) = mult(c, mult(mult(a, b), a))))), inference(lemma,lemma(discharge,[]))).
% 6.18/6.41 tff(14451,plain,
% 6.18/6.41 (mult(mult(a, mult(b, mult(c, a))), a) = mult(a, mult(mult(b, mult(c, a)), a))),
% 6.18/6.41 inference(unit_resolution,[status(thm)],[14450, 11947, 6854, 11025, 1, 11024, 10726, 14352, 119, 342, 1362, 1736, 11028, 13491, 13459, 9263])).
% 6.18/6.41 tff(14452,plain,
% 6.18/6.41 (~(mult(mult(a, c), mult(mult(a, b), a)) = mult(a, mult(c, mult(mult(a, b), a))))),
% 6.18/6.41 inference(unit_resolution,[status(thm)],[13592, 14451, 1362, 13541, 13464, 1736])).
% 6.18/6.41 tff(14453,plain,
% 6.18/6.41 (~((~(mult(mult(a, c), mult(mult(a, b), a)) = mult(a, mult(mult(mult(a, b), a), c)))) | (~(mult(mult(a, mult(mult(a, b), a)), c) = mult(a, mult(c, mult(mult(a, b), a))))))),
% 6.18/6.41 inference(unit_resolution,[status(thm)],[13294, 14452])).
% 6.18/6.41 tff(14454,plain,
% 6.18/6.41 (mult(mult(a, c), mult(mult(a, b), a)) = mult(a, mult(mult(mult(a, b), a), c))),
% 6.18/6.41 inference(unit_resolution,[status(thm)],[13412, 14453])).
% 6.18/6.41 tff(14455,plain,
% 6.18/6.41 (mult(mult(a, mult(c, a)), mult(a, b)) = mult(a, mult(mult(a, b), mult(c, a)))),
% 6.18/6.41 inference(unit_resolution,[status(thm)],[13674, 14454, 6854])).
% 6.18/6.41 tff(14456,plain,
% 6.18/6.41 (mult(mult(a, b), mult(a, mult(a, c))) = mult(mult(mult(mult(a, b), c), a), a)),
% 6.18/6.41 inference(transitivity,[status(thm)],[13556, 10564, 13554, 12982])).
% 6.18/6.41 tff(14457,plain,
% 6.18/6.41 (mult(mult(mult(a, b), mult(a, mult(a, c))), b) = mult(mult(mult(mult(mult(a, b), c), a), a), b)),
% 6.18/6.41 inference(monotonicity,[status(thm)],[14456])).
% 6.18/6.41 tff(14458,plain,
% 6.18/6.41 ((~![B: $i, A: $i] : (ld(A, mult(A, B)) = B)) | (ld(a, mult(a, mult(mult(mult(a, b), c), a))) = mult(mult(mult(a, b), c), a))),
% 6.18/6.41 inference(quant_inst,[status(thm)],[])).
% 6.18/6.41 tff(14459,plain,
% 6.18/6.41 (ld(a, mult(a, mult(mult(mult(a, b), c), a))) = mult(mult(mult(a, b), c), a)),
% 6.18/6.41 inference(unit_resolution,[status(thm)],[14458, 9])).
% 6.18/6.41 tff(14460,plain,
% 6.18/6.41 (mult(a, mult(mult(a, b), mult(a, c))) = mult(a, mult(mult(mult(a, b), c), a))),
% 6.18/6.42 inference(symmetry,[status(thm)],[13073])).
% 6.18/6.42 tff(14461,plain,
% 6.18/6.42 (mult(a, mult(mult(a, b), c)) = mult(mult(a, mult(a, b)), c)),
% 6.18/6.42 inference(symmetry,[status(thm)],[8996])).
% 6.18/6.42 tff(14462,plain,
% 6.18/6.42 (mult(mult(a, a), mult(b, c)) = mult(mult(mult(a, a), b), c)),
% 6.18/6.42 inference(transitivity,[status(thm)],[10911, 10420, 14461, 5532])).
% 6.18/6.42 tff(14463,plain,
% 6.18/6.42 (mult(mult(mult(a, a), mult(b, c)), a) = mult(mult(mult(mult(a, a), b), c), a)),
% 6.18/6.42 inference(monotonicity,[status(thm)],[14462])).
% 6.18/6.42 tff(14464,plain,
% 6.18/6.42 (mult(mult(mult(mult(a, a), b), c), a) = mult(mult(mult(a, a), mult(b, c)), a)),
% 6.18/6.42 inference(symmetry,[status(thm)],[14463])).
% 6.18/6.42 tff(14465,plain,
% 6.18/6.42 (~(mult(mult(a, mult(b, mult(c, a))), a) = mult(a, mult(a, mult(b, mult(c, a)))))),
% 6.18/6.42 inference(unit_resolution,[status(thm)],[13486, 11067, 13459, 342, 119, 6854, 9263, 1362, 1736])).
% 6.18/6.42 tff(14466,plain,
% 6.18/6.42 ((~(mult(mult(a, a), mult(b, mult(c, a))) = mult(a, mult(mult(b, mult(c, a)), a)))) | (~(mult(mult(a, mult(b, mult(c, a))), a) = mult(a, mult(a, mult(b, mult(c, a))))))),
% 6.18/6.42 inference(unit_resolution,[status(thm)],[13393, 14465])).
% 6.18/6.42 tff(14467,plain,
% 6.18/6.42 (~((~(mult(mult(a, a), mult(b, mult(c, a))) = mult(a, mult(a, mult(b, mult(c, a)))))) | (~(mult(mult(a, mult(b, mult(c, a))), a) = mult(a, mult(mult(b, mult(c, a)), a)))))),
% 6.18/6.42 inference(unit_resolution,[status(thm)],[13568, 30, 14466])).
% 6.18/6.42 tff(14468,plain,
% 6.18/6.42 (mult(mult(a, mult(b, mult(c, a))), a) = mult(a, mult(mult(b, mult(c, a)), a))),
% 6.18/6.42 inference(unit_resolution,[status(thm)],[13575, 14467])).
% 6.18/6.42 tff(14469,plain,
% 6.18/6.42 (~(mult(mult(a, c), mult(mult(a, b), a)) = mult(a, mult(c, mult(mult(a, b), a))))),
% 6.18/6.42 inference(unit_resolution,[status(thm)],[13592, 14468, 1362, 13541, 13464, 1736])).
% 6.18/6.42 tff(14470,plain,
% 6.18/6.42 (~((~(mult(mult(a, c), mult(mult(a, b), a)) = mult(a, mult(mult(mult(a, b), a), c)))) | (~(mult(mult(a, mult(mult(a, b), a)), c) = mult(a, mult(c, mult(mult(a, b), a))))))),
% 6.18/6.42 inference(unit_resolution,[status(thm)],[13294, 14469])).
% 6.18/6.42 tff(14471,plain,
% 6.18/6.42 (mult(mult(a, c), mult(mult(a, b), a)) = mult(a, mult(mult(mult(a, b), a), c))),
% 6.18/6.42 inference(unit_resolution,[status(thm)],[13412, 14470])).
% 6.18/6.42 tff(14472,plain,
% 6.18/6.42 (mult(a, mult(mult(mult(a, b), a), c)) = mult(mult(a, c), mult(mult(a, b), a))),
% 6.18/6.42 inference(symmetry,[status(thm)],[14471])).
% 6.18/6.42 tff(14473,plain,
% 6.18/6.42 (mult(a, mult(mult(mult(a, b), a), c)) = mult(a, mult(mult(b, a), mult(a, c)))),
% 6.18/6.42 inference(transitivity,[status(thm)],[14472, 10827, 11500, 13952, 14468, 13950])).
% 6.18/6.42 tff(14474,plain,
% 6.18/6.42 (ld(a, mult(a, mult(mult(mult(a, b), a), c))) = ld(a, mult(a, mult(mult(b, a), mult(a, c))))),
% 6.18/6.42 inference(monotonicity,[status(thm)],[14473])).
% 6.18/6.42 tff(14475,plain,
% 6.18/6.42 (ld(a, mult(a, mult(mult(b, a), mult(a, c)))) = ld(a, mult(a, mult(mult(mult(a, b), a), c)))),
% 6.18/6.42 inference(symmetry,[status(thm)],[14474])).
% 6.18/6.42 tff(14476,plain,
% 6.18/6.42 (mult(mult(b, a), mult(a, c)) = mult(mult(mult(a, b), a), c)),
% 6.18/6.42 inference(transitivity,[status(thm)],[12189, 14475, 11987])).
% 6.18/6.42 tff(14477,plain,
% 6.18/6.42 (mult(mult(mult(b, a), mult(a, c)), a) = mult(mult(mult(mult(a, b), a), c), a)),
% 6.18/6.42 inference(monotonicity,[status(thm)],[14476])).
% 6.18/6.42 tff(14478,plain,
% 6.18/6.42 (mult(mult(mult(mult(a, b), a), c), a) = mult(mult(mult(b, a), mult(a, c)), a)),
% 6.18/6.42 inference(symmetry,[status(thm)],[14477])).
% 6.18/6.42 tff(14479,plain,
% 6.18/6.42 (mult(mult(a, b), mult(mult(a, c), a)) = mult(mult(mult(b, a), mult(a, c)), a)),
% 6.18/6.42 inference(transitivity,[status(thm)],[11097, 14478])).
% 6.18/6.42 tff(14480,plain,
% 6.18/6.42 (mult(mult(mult(a, b), mult(mult(a, c), a)), b) = mult(mult(mult(mult(b, a), mult(a, c)), a), b)),
% 6.18/6.42 inference(monotonicity,[status(thm)],[14479])).
% 6.18/6.42 tff(14481,plain,
% 6.18/6.42 ((~![B: $i, A: $i] : (ld(A, mult(A, B)) = B)) | (ld(mult(c, a), mult(mult(c, a), mult(mult(mult(b, a), mult(a, c)), b))) = mult(mult(mult(b, a), mult(a, c)), b))),
% 6.18/6.42 inference(quant_inst,[status(thm)],[])).
% 6.18/6.42 tff(14482,plain,
% 6.18/6.42 (ld(mult(c, a), mult(mult(c, a), mult(mult(mult(b, a), mult(a, c)), b))) = mult(mult(mult(b, a), mult(a, c)), b)),
% 6.18/6.42 inference(unit_resolution,[status(thm)],[14481, 9])).
% 6.18/6.42 tff(14483,plain,
% 6.18/6.42 (mult(mult(c, a), mult(mult(mult(b, a), mult(a, c)), b)) = mult(mult(c, a), mult(mult(b, mult(mult(a, c), a)), b))),
% 6.26/6.42 inference(monotonicity,[status(thm)],[11822])).
% 6.26/6.42 tff(14484,plain,
% 6.26/6.42 (mult(mult(c, a), mult(mult(b, mult(mult(a, c), a)), b)) = mult(mult(c, a), mult(mult(mult(b, a), mult(a, c)), b))),
% 6.26/6.42 inference(symmetry,[status(thm)],[14483])).
% 6.26/6.42 tff(14485,plain,
% 6.26/6.42 ((~![C: $i, B: $i, A: $i] : (mult(mult(mult(A, B), C), B) = mult(A, mult(mult(B, C), B)))) | (mult(mult(mult(mult(c, a), b), mult(mult(a, c), a)), b) = mult(mult(c, a), mult(mult(b, mult(mult(a, c), a)), b)))),
% 6.26/6.42 inference(quant_inst,[status(thm)],[])).
% 6.26/6.42 tff(14486,plain,
% 6.26/6.42 (mult(mult(mult(mult(c, a), b), mult(mult(a, c), a)), b) = mult(mult(c, a), mult(mult(b, mult(mult(a, c), a)), b))),
% 6.26/6.42 inference(unit_resolution,[status(thm)],[14485, 860])).
% 6.26/6.42 tff(14487,plain,
% 6.26/6.42 (mult(mult(a, a), mult(b, mult(c, a))) = mult(a, mult(a, mult(b, mult(c, a))))),
% 6.26/6.42 inference(unit_resolution,[status(thm)],[13608, 14467])).
% 6.26/6.42 tff(14488,plain,
% 6.26/6.42 (mult(mult(a, mult(mult(a, b), a)), c) = mult(a, mult(c, mult(mult(a, b), a)))),
% 6.26/6.42 inference(unit_resolution,[status(thm)],[13296, 14470])).
% 6.26/6.42 tff(14489,plain,
% 6.26/6.42 (mult(mult(mult(a, a), c), mult(b, a)) = mult(a, mult(mult(b, mult(c, a)), a))),
% 6.26/6.42 inference(transitivity,[status(thm)],[13603, 11076, 13949])).
% 6.26/6.42 tff(14490,plain,
% 6.26/6.42 ((mult(mult(mult(a, a), c), mult(b, a)) = mult(mult(a, a), mult(mult(b, a), c))) <=> (mult(a, mult(mult(b, mult(c, a)), a)) = mult(mult(a, a), mult(b, mult(c, a))))),
% 6.26/6.42 inference(monotonicity,[status(thm)],[14489, 13492])).
% 6.26/6.42 tff(14491,plain,
% 6.26/6.42 ((mult(mult(mult(a, a), c), mult(b, a)) = mult(mult(a, a), mult(mult(b, a), c))) <=> (mult(mult(a, a), mult(b, mult(c, a))) = mult(a, mult(mult(b, mult(c, a)), a)))),
% 6.26/6.42 inference(transitivity,[status(thm)],[14490, 13597])).
% 6.26/6.42 tff(14492,plain,
% 6.26/6.42 ((mult(mult(a, a), mult(b, mult(c, a))) = mult(a, mult(mult(b, mult(c, a)), a))) <=> (mult(mult(mult(a, a), c), mult(b, a)) = mult(mult(a, a), mult(mult(b, a), c)))),
% 6.26/6.42 inference(symmetry,[status(thm)],[14491])).
% 6.26/6.42 tff(14493,plain,
% 6.26/6.42 (mult(mult(a, a), mult(b, mult(c, a))) = mult(mult(a, mult(b, a)), mult(a, c))),
% 6.26/6.42 inference(transitivity,[status(thm)],[14487, 13475, 11068])).
% 6.26/6.42 tff(14494,plain,
% 6.26/6.42 ((mult(mult(a, a), mult(b, mult(c, a))) = mult(a, mult(mult(b, mult(c, a)), a))) <=> (mult(mult(a, mult(b, a)), mult(a, c)) = mult(a, mult(mult(b, a), mult(a, c))))),
% 6.26/6.42 inference(monotonicity,[status(thm)],[14493, 13950])).
% 6.26/6.42 tff(14495,plain,
% 6.26/6.42 ((mult(mult(a, mult(b, a)), mult(a, c)) = mult(a, mult(mult(b, a), mult(a, c)))) <=> (mult(mult(a, a), mult(b, mult(c, a))) = mult(a, mult(mult(b, mult(c, a)), a)))),
% 6.26/6.42 inference(symmetry,[status(thm)],[14494])).
% 6.26/6.42 tff(14496,plain,
% 6.26/6.42 ((mult(mult(a, mult(b, a)), mult(a, c)) = mult(a, mult(mult(b, a), mult(a, c)))) <=> (mult(mult(mult(a, a), c), mult(b, a)) = mult(mult(a, a), mult(mult(b, a), c)))),
% 6.26/6.42 inference(transitivity,[status(thm)],[14495, 14492])).
% 6.26/6.42 tff(14497,plain,
% 6.26/6.42 ((~(mult(mult(a, mult(b, a)), mult(a, c)) = mult(a, mult(mult(b, a), mult(a, c))))) <=> (~(mult(mult(mult(a, a), c), mult(b, a)) = mult(mult(a, a), mult(mult(b, a), c))))),
% 6.26/6.42 inference(monotonicity,[status(thm)],[14496])).
% 6.26/6.42 tff(14498,plain,
% 6.26/6.42 (~(mult(mult(mult(a, a), c), mult(b, a)) = mult(mult(a, a), mult(mult(b, a), c)))),
% 6.26/6.42 inference(modus_ponens,[status(thm)],[11058, 14497])).
% 6.26/6.42 tff(14499,plain,
% 6.26/6.42 ((~(mult(mult(mult(a, a), c), mult(b, a)) = mult(mult(a, a), mult(mult(b, a), c)))) | (~(mult(mult(mult(a, a), mult(b, a)), c) = mult(mult(a, a), mult(c, mult(b, a)))))),
% 6.26/6.42 inference(unit_resolution,[status(thm)],[13498, 14498])).
% 6.26/6.42 tff(14500,plain,
% 6.26/6.42 (~((~(mult(mult(mult(a, a), c), mult(b, a)) = mult(mult(a, a), mult(c, mult(b, a))))) | (~(mult(mult(mult(a, a), mult(b, a)), c) = mult(mult(a, a), mult(mult(b, a), c)))))),
% 6.26/6.42 inference(unit_resolution,[status(thm)],[11117, 14499])).
% 6.26/6.42 tff(14501,plain,
% 6.26/6.42 (mult(mult(mult(a, a), mult(b, a)), c) = mult(mult(a, a), mult(mult(b, a), c))),
% 6.26/6.42 inference(unit_resolution,[status(thm)],[13495, 14500])).
% 6.26/6.42 tff(14502,plain,
% 6.26/6.42 ((~![B: $i, A: $i] : (ld(A, mult(A, B)) = B)) | (ld(mult(c, mult(mult(a, b), a)), mult(mult(c, mult(mult(a, b), a)), mult(mult(mult(a, b), c), a))) = mult(mult(mult(a, b), c), a))),
% 6.26/6.42 inference(quant_inst,[status(thm)],[])).
% 6.26/6.42 tff(14503,plain,
% 6.26/6.42 (ld(mult(c, mult(mult(a, b), a)), mult(mult(c, mult(mult(a, b), a)), mult(mult(mult(a, b), c), a))) = mult(mult(mult(a, b), c), a)),
% 6.26/6.42 inference(unit_resolution,[status(thm)],[14502, 9])).
% 6.26/6.42 tff(14504,plain,
% 6.26/6.42 (mult(a, mult(mult(a, c), mult(b, a))) = mult(a, mult(c, mult(mult(a, b), a)))),
% 6.26/6.42 inference(transitivity,[status(thm)],[13476, 13693, 13493, 13817, 13596, 13299])).
% 6.26/6.42 tff(14505,plain,
% 6.26/6.42 (ld(a, mult(a, mult(mult(a, c), mult(b, a)))) = ld(a, mult(a, mult(c, mult(mult(a, b), a))))),
% 6.26/6.42 inference(monotonicity,[status(thm)],[14504])).
% 6.26/6.42 tff(14506,plain,
% 6.26/6.42 (ld(a, mult(a, mult(c, mult(mult(a, b), a)))) = ld(a, mult(a, mult(mult(a, c), mult(b, a))))),
% 6.26/6.42 inference(symmetry,[status(thm)],[14505])).
% 6.26/6.42 tff(14507,plain,
% 6.26/6.42 (mult(c, mult(mult(a, b), a)) = mult(mult(a, c), mult(b, a))),
% 6.26/6.42 inference(transitivity,[status(thm)],[13624, 14506, 10815])).
% 6.26/6.42 tff(14508,plain,
% 6.26/6.42 (mult(mult(c, mult(mult(a, b), a)), mult(c, mult(mult(a, b), a))) = mult(mult(mult(a, c), mult(b, a)), mult(mult(a, c), mult(b, a)))),
% 6.26/6.42 inference(monotonicity,[status(thm)],[14507, 14507])).
% 6.26/6.42 tff(14509,plain,
% 6.26/6.42 (mult(mult(mult(a, c), mult(b, a)), mult(mult(a, c), mult(b, a))) = mult(mult(c, mult(mult(a, b), a)), mult(c, mult(mult(a, b), a)))),
% 6.26/6.42 inference(symmetry,[status(thm)],[14508])).
% 6.26/6.42 tff(14510,plain,
% 6.26/6.42 (mult(mult(a, c), mult(b, a)) = mult(c, mult(mult(a, b), a))),
% 6.26/6.42 inference(transitivity,[status(thm)],[10816, 14505, 12147])).
% 6.26/6.42 tff(14511,plain,
% 6.26/6.42 (mult(mult(mult(a, c), mult(b, a)), mult(mult(a, c), mult(b, a))) = mult(mult(c, mult(mult(a, b), a)), mult(mult(mult(a, c), a), b))),
% 6.26/6.42 inference(monotonicity,[status(thm)],[14510, 1720])).
% 6.26/6.42 tff(14512,plain,
% 6.26/6.42 (mult(mult(c, mult(mult(a, b), a)), mult(mult(mult(a, c), a), b)) = mult(mult(mult(a, c), mult(b, a)), mult(mult(a, c), mult(b, a)))),
% 6.26/6.42 inference(symmetry,[status(thm)],[14511])).
% 6.26/6.42 tff(14513,plain,
% 6.26/6.42 (mult(mult(mult(a, c), mult(b, a)), mult(b, mult(mult(a, c), a))) = mult(mult(mult(a, c), mult(b, a)), mult(mult(b, a), mult(a, c)))),
% 6.26/6.42 inference(monotonicity,[status(thm)],[11584])).
% 6.26/6.42 tff(14514,plain,
% 6.26/6.42 (mult(mult(mult(a, c), mult(b, a)), mult(mult(b, a), mult(a, c))) = mult(mult(mult(a, c), mult(b, a)), mult(b, mult(mult(a, c), a)))),
% 6.26/6.42 inference(symmetry,[status(thm)],[14513])).
% 6.26/6.42 tff(14515,plain,
% 6.26/6.42 (mult(mult(c, mult(mult(a, b), a)), mult(b, mult(mult(a, c), a))) = mult(mult(mult(a, c), mult(b, a)), mult(mult(b, a), mult(a, c)))),
% 6.26/6.42 inference(monotonicity,[status(thm)],[14507, 11584])).
% 6.26/6.42 tff(14516,plain,
% 6.26/6.42 (mult(mult(c, mult(mult(a, b), a)), mult(b, mult(mult(a, c), a))) = mult(mult(mult(a, c), mult(b, a)), mult(b, mult(mult(a, c), a)))),
% 6.26/6.42 inference(transitivity,[status(thm)],[14515, 14514])).
% 6.26/6.42 tff(14517,plain,
% 6.26/6.42 (mult(mult(mult(a, c), mult(b, a)), mult(mult(a, c), a)) = mult(mult(c, mult(mult(a, b), a)), mult(mult(a, c), a))),
% 6.26/6.42 inference(monotonicity,[status(thm)],[14510])).
% 6.26/6.42 tff(14518,plain,
% 6.26/6.42 (mult(mult(c, mult(mult(a, b), a)), mult(mult(a, c), a)) = mult(mult(mult(a, c), mult(b, a)), mult(mult(a, c), a))),
% 6.26/6.42 inference(symmetry,[status(thm)],[14517])).
% 6.26/6.42 tff(14519,plain,
% 6.26/6.42 (mult(mult(mult(c, mult(mult(a, b), a)), mult(mult(a, c), a)), b) = mult(mult(mult(mult(a, c), mult(b, a)), mult(mult(a, c), a)), b)),
% 6.26/6.42 inference(monotonicity,[status(thm)],[14518])).
% 6.26/6.42 tff(14520,plain,
% 6.26/6.42 ((mult(mult(mult(c, mult(mult(a, b), a)), mult(mult(a, c), a)), b) = mult(mult(c, mult(mult(a, b), a)), mult(b, mult(mult(a, c), a)))) <=> (mult(mult(mult(mult(a, c), mult(b, a)), mult(mult(a, c), a)), b) = mult(mult(mult(a, c), mult(b, a)), mult(b, mult(mult(a, c), a))))),
% 6.26/6.42 inference(monotonicity,[status(thm)],[14519, 14516])).
% 6.26/6.42 tff(14521,plain,
% 6.26/6.42 ((mult(mult(mult(mult(a, c), mult(b, a)), mult(mult(a, c), a)), b) = mult(mult(mult(a, c), mult(b, a)), mult(b, mult(mult(a, c), a)))) <=> (mult(mult(mult(c, mult(mult(a, b), a)), mult(mult(a, c), a)), b) = mult(mult(c, mult(mult(a, b), a)), mult(b, mult(mult(a, c), a))))),
% 6.26/6.42 inference(symmetry,[status(thm)],[14520])).
% 6.26/6.42 tff(14522,plain,
% 6.26/6.42 (mult(mult(mult(a, c), mult(b, a)), mult(b, mult(mult(a, c), a))) = mult(mult(mult(mult(a, c), mult(b, a)), mult(a, c)), mult(b, a))),
% 6.26/6.42 inference(transitivity,[status(thm)],[14513, 11675, 8759])).
% 6.26/6.42 tff(14523,plain,
% 6.26/6.42 (mult(mult(c, mult(mult(a, b), a)), a) = mult(mult(mult(a, c), mult(b, a)), a)),
% 6.26/6.42 inference(monotonicity,[status(thm)],[14507])).
% 6.26/6.42 tff(14524,plain,
% 6.26/6.42 (mult(mult(mult(c, mult(mult(a, b), a)), a), c) = mult(mult(mult(mult(a, c), mult(b, a)), a), c)),
% 6.26/6.42 inference(monotonicity,[status(thm)],[14523])).
% 6.26/6.42 tff(14525,plain,
% 6.26/6.42 (mult(mult(mult(c, mult(mult(a, b), a)), a), c) = mult(mult(mult(a, c), mult(b, a)), mult(a, c))),
% 6.26/6.42 inference(transitivity,[status(thm)],[14524, 6842])).
% 6.26/6.42 tff(14526,plain,
% 6.26/6.42 (mult(mult(mult(mult(c, mult(mult(a, b), a)), a), c), a) = mult(mult(mult(mult(a, c), mult(b, a)), mult(a, c)), a)),
% 6.26/6.42 inference(monotonicity,[status(thm)],[14525])).
% 6.26/6.42 tff(14527,plain,
% 6.26/6.42 ((~![C: $i, B: $i, A: $i] : (mult(mult(mult(A, B), C), B) = mult(A, mult(mult(B, C), B)))) | (mult(mult(mult(mult(c, mult(mult(a, b), a)), a), c), a) = mult(mult(c, mult(mult(a, b), a)), mult(mult(a, c), a)))),
% 6.26/6.42 inference(quant_inst,[status(thm)],[])).
% 6.26/6.42 tff(14528,plain,
% 6.26/6.42 (mult(mult(mult(mult(c, mult(mult(a, b), a)), a), c), a) = mult(mult(c, mult(mult(a, b), a)), mult(mult(a, c), a))),
% 6.26/6.42 inference(unit_resolution,[status(thm)],[14527, 860])).
% 6.26/6.42 tff(14529,plain,
% 6.26/6.42 (mult(mult(c, mult(mult(a, b), a)), mult(mult(a, c), a)) = mult(mult(mult(mult(c, mult(mult(a, b), a)), a), c), a)),
% 6.26/6.42 inference(symmetry,[status(thm)],[14528])).
% 6.26/6.42 tff(14530,plain,
% 6.26/6.42 (mult(mult(mult(a, c), mult(b, a)), mult(mult(a, c), a)) = mult(mult(mult(mult(a, c), mult(b, a)), mult(a, c)), a)),
% 6.26/6.42 inference(transitivity,[status(thm)],[14517, 14529, 14526])).
% 6.26/6.42 tff(14531,plain,
% 6.26/6.42 (mult(mult(mult(mult(a, c), mult(b, a)), mult(mult(a, c), a)), b) = mult(mult(mult(mult(mult(a, c), mult(b, a)), mult(a, c)), a), b)),
% 6.26/6.42 inference(monotonicity,[status(thm)],[14530])).
% 6.26/6.42 tff(14532,plain,
% 6.26/6.42 ((mult(mult(mult(mult(a, c), mult(b, a)), mult(mult(a, c), a)), b) = mult(mult(mult(a, c), mult(b, a)), mult(b, mult(mult(a, c), a)))) <=> (mult(mult(mult(mult(mult(a, c), mult(b, a)), mult(a, c)), a), b) = mult(mult(mult(mult(a, c), mult(b, a)), mult(a, c)), mult(b, a)))),
% 6.26/6.42 inference(monotonicity,[status(thm)],[14531, 14522])).
% 6.26/6.42 tff(14533,plain,
% 6.26/6.42 ((mult(mult(mult(mult(mult(a, c), mult(b, a)), mult(a, c)), a), b) = mult(mult(mult(mult(a, c), mult(b, a)), mult(a, c)), mult(b, a))) <=> (mult(mult(mult(mult(a, c), mult(b, a)), mult(mult(a, c), a)), b) = mult(mult(mult(a, c), mult(b, a)), mult(b, mult(mult(a, c), a))))),
% 6.26/6.42 inference(symmetry,[status(thm)],[14532])).
% 6.26/6.42 tff(14534,plain,
% 6.26/6.42 ((mult(mult(mult(mult(mult(a, c), mult(b, a)), mult(a, c)), a), b) = mult(mult(mult(mult(a, c), mult(b, a)), mult(a, c)), mult(b, a))) <=> (mult(mult(mult(c, mult(mult(a, b), a)), mult(mult(a, c), a)), b) = mult(mult(c, mult(mult(a, b), a)), mult(b, mult(mult(a, c), a))))),
% 6.26/6.42 inference(transitivity,[status(thm)],[14533, 14521])).
% 6.26/6.42 tff(14535,plain,
% 6.26/6.42 ((~(mult(mult(mult(mult(mult(a, c), mult(b, a)), mult(a, c)), a), b) = mult(mult(mult(mult(a, c), mult(b, a)), mult(a, c)), mult(b, a)))) <=> (~(mult(mult(mult(c, mult(mult(a, b), a)), mult(mult(a, c), a)), b) = mult(mult(c, mult(mult(a, b), a)), mult(b, mult(mult(a, c), a)))))),
% 6.26/6.42 inference(monotonicity,[status(thm)],[14534])).
% 6.26/6.42 tff(14536,plain,
% 6.26/6.42 (~(mult(mult(mult(c, mult(mult(a, b), a)), mult(mult(a, c), a)), b) = mult(mult(c, mult(mult(a, b), a)), mult(b, mult(mult(a, c), a))))),
% 6.26/6.42 inference(modus_ponens,[status(thm)],[6808, 14535])).
% 6.26/6.42 tff(14537,plain,
% 6.26/6.42 (((~(mult(mult(mult(c, mult(mult(a, b), a)), b), mult(mult(a, c), a)) = mult(mult(c, mult(mult(a, b), a)), mult(mult(mult(a, c), a), b)))) | (~(mult(mult(mult(c, mult(mult(a, b), a)), mult(mult(a, c), a)), b) = mult(mult(c, mult(mult(a, b), a)), mult(b, mult(mult(a, c), a)))))) | (mult(mult(mult(c, mult(mult(a, b), a)), mult(mult(a, c), a)), b) = mult(mult(c, mult(mult(a, b), a)), mult(b, mult(mult(a, c), a))))),
% 6.26/6.43 inference(tautology,[status(thm)],[])).
% 6.26/6.43 tff(14538,plain,
% 6.26/6.43 ((~(mult(mult(mult(c, mult(mult(a, b), a)), b), mult(mult(a, c), a)) = mult(mult(c, mult(mult(a, b), a)), mult(mult(mult(a, c), a), b)))) | (~(mult(mult(mult(c, mult(mult(a, b), a)), mult(mult(a, c), a)), b) = mult(mult(c, mult(mult(a, b), a)), mult(b, mult(mult(a, c), a)))))),
% 6.26/6.43 inference(unit_resolution,[status(thm)],[14537, 14536])).
% 6.26/6.43 tff(14539,plain,
% 6.26/6.43 (((~![X0: $i, X1: $i, X2: $i] : ((~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X2, X1)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X1, X2)))))) | (~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X1, X2)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X2, X1)))))))) | ((~((~(mult(mult(mult(c, mult(mult(a, b), a)), b), mult(mult(a, c), a)) = mult(mult(c, mult(mult(a, b), a)), mult(mult(mult(a, c), a), b)))) | (~(mult(mult(mult(c, mult(mult(a, b), a)), mult(mult(a, c), a)), b) = mult(mult(c, mult(mult(a, b), a)), mult(b, mult(mult(a, c), a))))))) | (~((~(mult(mult(mult(c, mult(mult(a, b), a)), b), mult(mult(a, c), a)) = mult(mult(c, mult(mult(a, b), a)), mult(b, mult(mult(a, c), a))))) | (~(mult(mult(mult(c, mult(mult(a, b), a)), mult(mult(a, c), a)), b) = mult(mult(c, mult(mult(a, b), a)), mult(mult(mult(a, c), a), b)))))))) <=> ((~![X0: $i, X1: $i, X2: $i] : ((~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X2, X1)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X1, X2)))))) | (~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X1, X2)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X2, X1)))))))) | (~((~(mult(mult(mult(c, mult(mult(a, b), a)), b), mult(mult(a, c), a)) = mult(mult(c, mult(mult(a, b), a)), mult(mult(mult(a, c), a), b)))) | (~(mult(mult(mult(c, mult(mult(a, b), a)), mult(mult(a, c), a)), b) = mult(mult(c, mult(mult(a, b), a)), mult(b, mult(mult(a, c), a))))))) | (~((~(mult(mult(mult(c, mult(mult(a, b), a)), b), mult(mult(a, c), a)) = mult(mult(c, mult(mult(a, b), a)), mult(b, mult(mult(a, c), a))))) | (~(mult(mult(mult(c, mult(mult(a, b), a)), mult(mult(a, c), a)), b) = mult(mult(c, mult(mult(a, b), a)), mult(mult(mult(a, c), a), b)))))))),
% 6.26/6.43 inference(rewrite,[status(thm)],[])).
% 6.26/6.43 tff(14540,plain,
% 6.26/6.43 ((~![X0: $i, X1: $i, X2: $i] : ((~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X2, X1)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X1, X2)))))) | (~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X1, X2)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X2, X1)))))))) | ((~((~(mult(mult(mult(c, mult(mult(a, b), a)), b), mult(mult(a, c), a)) = mult(mult(c, mult(mult(a, b), a)), mult(mult(mult(a, c), a), b)))) | (~(mult(mult(mult(c, mult(mult(a, b), a)), mult(mult(a, c), a)), b) = mult(mult(c, mult(mult(a, b), a)), mult(b, mult(mult(a, c), a))))))) | (~((~(mult(mult(mult(c, mult(mult(a, b), a)), b), mult(mult(a, c), a)) = mult(mult(c, mult(mult(a, b), a)), mult(b, mult(mult(a, c), a))))) | (~(mult(mult(mult(c, mult(mult(a, b), a)), mult(mult(a, c), a)), b) = mult(mult(c, mult(mult(a, b), a)), mult(mult(mult(a, c), a), b)))))))),
% 6.26/6.43 inference(quant_inst,[status(thm)],[])).
% 6.26/6.43 tff(14541,plain,
% 6.26/6.43 ((~![X0: $i, X1: $i, X2: $i] : ((~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X2, X1)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X1, X2)))))) | (~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X1, X2)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X2, X1)))))))) | (~((~(mult(mult(mult(c, mult(mult(a, b), a)), b), mult(mult(a, c), a)) = mult(mult(c, mult(mult(a, b), a)), mult(mult(mult(a, c), a), b)))) | (~(mult(mult(mult(c, mult(mult(a, b), a)), mult(mult(a, c), a)), b) = mult(mult(c, mult(mult(a, b), a)), mult(b, mult(mult(a, c), a))))))) | (~((~(mult(mult(mult(c, mult(mult(a, b), a)), b), mult(mult(a, c), a)) = mult(mult(c, mult(mult(a, b), a)), mult(b, mult(mult(a, c), a))))) | (~(mult(mult(mult(c, mult(mult(a, b), a)), mult(mult(a, c), a)), b) = mult(mult(c, mult(mult(a, b), a)), mult(mult(mult(a, c), a), b))))))),
% 6.26/6.43 inference(modus_ponens,[status(thm)],[14540, 14539])).
% 6.26/6.43 tff(14542,plain,
% 6.26/6.43 ((~((~(mult(mult(mult(c, mult(mult(a, b), a)), b), mult(mult(a, c), a)) = mult(mult(c, mult(mult(a, b), a)), mult(mult(mult(a, c), a), b)))) | (~(mult(mult(mult(c, mult(mult(a, b), a)), mult(mult(a, c), a)), b) = mult(mult(c, mult(mult(a, b), a)), mult(b, mult(mult(a, c), a))))))) | (~((~(mult(mult(mult(c, mult(mult(a, b), a)), b), mult(mult(a, c), a)) = mult(mult(c, mult(mult(a, b), a)), mult(b, mult(mult(a, c), a))))) | (~(mult(mult(mult(c, mult(mult(a, b), a)), mult(mult(a, c), a)), b) = mult(mult(c, mult(mult(a, b), a)), mult(mult(mult(a, c), a), b))))))),
% 6.26/6.43 inference(unit_resolution,[status(thm)],[14541, 30])).
% 6.26/6.43 tff(14543,plain,
% 6.26/6.43 (~((~(mult(mult(mult(c, mult(mult(a, b), a)), b), mult(mult(a, c), a)) = mult(mult(c, mult(mult(a, b), a)), mult(b, mult(mult(a, c), a))))) | (~(mult(mult(mult(c, mult(mult(a, b), a)), mult(mult(a, c), a)), b) = mult(mult(c, mult(mult(a, b), a)), mult(mult(mult(a, c), a), b)))))),
% 6.26/6.43 inference(unit_resolution,[status(thm)],[14542, 14538])).
% 6.26/6.43 tff(14544,plain,
% 6.26/6.43 (((~(mult(mult(mult(c, mult(mult(a, b), a)), b), mult(mult(a, c), a)) = mult(mult(c, mult(mult(a, b), a)), mult(b, mult(mult(a, c), a))))) | (~(mult(mult(mult(c, mult(mult(a, b), a)), mult(mult(a, c), a)), b) = mult(mult(c, mult(mult(a, b), a)), mult(mult(mult(a, c), a), b))))) | (mult(mult(mult(c, mult(mult(a, b), a)), mult(mult(a, c), a)), b) = mult(mult(c, mult(mult(a, b), a)), mult(mult(mult(a, c), a), b)))),
% 6.26/6.43 inference(tautology,[status(thm)],[])).
% 6.26/6.43 tff(14545,plain,
% 6.26/6.43 (mult(mult(mult(c, mult(mult(a, b), a)), mult(mult(a, c), a)), b) = mult(mult(c, mult(mult(a, b), a)), mult(mult(mult(a, c), a), b))),
% 6.26/6.43 inference(unit_resolution,[status(thm)],[14544, 14543])).
% 6.26/6.43 tff(14546,plain,
% 6.26/6.43 (mult(mult(mult(mult(a, c), mult(b, a)), mult(mult(a, c), a)), b) = mult(mult(mult(c, mult(mult(a, b), a)), mult(mult(a, c), a)), b)),
% 6.26/6.43 inference(symmetry,[status(thm)],[14519])).
% 6.26/6.43 tff(14547,plain,
% 6.26/6.43 (mult(mult(mult(mult(mult(a, c), mult(b, a)), mult(a, c)), a), b) = mult(mult(mult(mult(a, c), mult(b, a)), mult(mult(a, c), a)), b)),
% 6.26/6.43 inference(symmetry,[status(thm)],[14531])).
% 6.26/6.43 tff(14548,plain,
% 6.26/6.43 (mult(mult(mult(a, c), mult(b, a)), mult(mult(mult(a, c), a), b)) = mult(mult(mult(a, c), mult(b, a)), mult(mult(a, c), mult(b, a)))),
% 6.26/6.43 inference(monotonicity,[status(thm)],[1362])).
% 6.26/6.43 tff(14549,plain,
% 6.26/6.43 (mult(mult(mult(a, c), mult(b, a)), mult(mult(a, c), mult(b, a))) = mult(mult(mult(a, c), mult(b, a)), mult(mult(mult(a, c), a), b))),
% 6.26/6.43 inference(symmetry,[status(thm)],[14548])).
% 6.26/6.43 tff(14550,plain,
% 6.26/6.43 (mult(mult(mult(a, c), mult(b, a)), mult(a, mult(b, mult(c, a)))) = mult(mult(mult(a, c), mult(b, a)), mult(mult(a, c), mult(b, a)))),
% 6.26/6.43 inference(monotonicity,[status(thm)],[13474])).
% 6.26/6.43 tff(14551,plain,
% 6.26/6.43 (mult(mult(mult(a, c), mult(b, a)), mult(mult(a, mult(c, a)), b)) = mult(mult(mult(a, c), mult(b, a)), mult(a, mult(b, mult(c, a))))),
% 6.26/6.43 inference(monotonicity,[status(thm)],[1736])).
% 6.26/6.43 tff(14552,plain,
% 6.26/6.43 (mult(mult(mult(a, c), mult(b, a)), mult(mult(a, mult(c, a)), b)) = mult(mult(mult(a, c), mult(b, a)), mult(mult(mult(a, c), a), b))),
% 6.26/6.43 inference(transitivity,[status(thm)],[14551, 14550, 14549])).
% 6.26/6.43 tff(14553,plain,
% 6.26/6.43 (mult(mult(mult(a, c), mult(b, a)), mult(a, mult(c, a))) = mult(mult(mult(a, c), mult(b, a)), mult(mult(a, c), a))),
% 6.26/6.43 inference(monotonicity,[status(thm)],[13280])).
% 6.26/6.43 tff(14554,plain,
% 6.26/6.43 (mult(mult(mult(mult(a, c), mult(b, a)), mult(a, mult(c, a))), b) = mult(mult(mult(mult(a, c), mult(b, a)), mult(mult(a, c), a)), b)),
% 6.26/6.43 inference(monotonicity,[status(thm)],[14553])).
% 6.26/6.43 tff(14555,plain,
% 6.26/6.43 ((mult(mult(mult(mult(a, c), mult(b, a)), mult(a, mult(c, a))), b) = mult(mult(mult(a, c), mult(b, a)), mult(mult(a, mult(c, a)), b))) <=> (mult(mult(mult(mult(a, c), mult(b, a)), mult(mult(a, c), a)), b) = mult(mult(mult(a, c), mult(b, a)), mult(mult(mult(a, c), a), b)))),
% 6.26/6.43 inference(monotonicity,[status(thm)],[14554, 14552])).
% 6.26/6.43 tff(14556,plain,
% 6.26/6.43 ((mult(mult(mult(mult(a, c), mult(b, a)), mult(mult(a, c), a)), b) = mult(mult(mult(a, c), mult(b, a)), mult(mult(mult(a, c), a), b))) <=> (mult(mult(mult(mult(a, c), mult(b, a)), mult(a, mult(c, a))), b) = mult(mult(mult(a, c), mult(b, a)), mult(mult(a, mult(c, a)), b)))),
% 6.26/6.43 inference(symmetry,[status(thm)],[14555])).
% 6.26/6.43 tff(14557,plain,
% 6.26/6.43 (mult(mult(c, mult(mult(a, b), a)), mult(mult(mult(a, c), a), b)) = mult(mult(mult(a, c), mult(b, a)), mult(mult(mult(a, c), a), b))),
% 6.26/6.43 inference(transitivity,[status(thm)],[14512, 14549])).
% 6.26/6.43 tff(14558,plain,
% 6.26/6.43 ((mult(mult(mult(c, mult(mult(a, b), a)), mult(mult(a, c), a)), b) = mult(mult(c, mult(mult(a, b), a)), mult(mult(mult(a, c), a), b))) <=> (mult(mult(mult(mult(a, c), mult(b, a)), mult(mult(a, c), a)), b) = mult(mult(mult(a, c), mult(b, a)), mult(mult(mult(a, c), a), b)))),
% 6.26/6.43 inference(monotonicity,[status(thm)],[14519, 14557])).
% 6.26/6.43 tff(14559,plain,
% 6.26/6.43 ((mult(mult(mult(c, mult(mult(a, b), a)), mult(mult(a, c), a)), b) = mult(mult(c, mult(mult(a, b), a)), mult(mult(mult(a, c), a), b))) <=> (mult(mult(mult(mult(a, c), mult(b, a)), mult(a, mult(c, a))), b) = mult(mult(mult(a, c), mult(b, a)), mult(mult(a, mult(c, a)), b)))),
% 6.26/6.43 inference(transitivity,[status(thm)],[14558, 14556])).
% 6.26/6.43 tff(14560,plain,
% 6.26/6.43 (mult(mult(mult(mult(a, c), mult(b, a)), mult(a, mult(c, a))), b) = mult(mult(mult(a, c), mult(b, a)), mult(mult(a, mult(c, a)), b))),
% 6.26/6.43 inference(modus_ponens,[status(thm)],[14545, 14559])).
% 6.26/6.43 tff(14561,plain,
% 6.26/6.43 (~(mult(mult(mult(mult(a, c), mult(b, a)), mult(a, c)), mult(a, b)) = mult(mult(mult(a, c), mult(b, a)), mult(mult(a, c), mult(a, b))))),
% 6.26/6.43 inference(unit_resolution,[status(thm)],[6961, 14560, 614, 12876, 6842])).
% 6.26/6.43 tff(14562,plain,
% 6.26/6.43 ((~(mult(mult(mult(mult(a, c), mult(b, a)), mult(a, b)), mult(a, c)) = mult(mult(mult(a, c), mult(b, a)), mult(mult(a, b), mult(a, c))))) | (~(mult(mult(mult(mult(a, c), mult(b, a)), mult(a, c)), mult(a, b)) = mult(mult(mult(a, c), mult(b, a)), mult(mult(a, c), mult(a, b)))))),
% 6.26/6.43 inference(unit_resolution,[status(thm)],[6963, 14561])).
% 6.26/6.43 tff(14563,plain,
% 6.26/6.43 (~((~(mult(mult(mult(mult(a, c), mult(b, a)), mult(a, b)), mult(a, c)) = mult(mult(mult(a, c), mult(b, a)), mult(mult(a, c), mult(a, b))))) | (~(mult(mult(mult(mult(a, c), mult(b, a)), mult(a, c)), mult(a, b)) = mult(mult(mult(a, c), mult(b, a)), mult(mult(a, b), mult(a, c))))))),
% 6.26/6.43 inference(unit_resolution,[status(thm)],[6968, 14562])).
% 6.26/6.43 tff(14564,plain,
% 6.26/6.43 (mult(mult(mult(mult(a, c), mult(b, a)), mult(a, c)), mult(a, b)) = mult(mult(mult(a, c), mult(b, a)), mult(mult(a, b), mult(a, c)))),
% 6.26/6.43 inference(unit_resolution,[status(thm)],[6970, 14563])).
% 6.26/6.43 tff(14565,plain,
% 6.26/6.43 (mult(mult(mult(a, c), mult(b, a)), mult(mult(a, b), mult(a, c))) = mult(mult(mult(mult(a, c), mult(b, a)), mult(a, c)), mult(a, b))),
% 6.26/6.43 inference(symmetry,[status(thm)],[14564])).
% 6.26/6.43 tff(14566,plain,
% 6.26/6.43 (mult(mult(c, mult(mult(a, b), a)), mult(mult(mult(a, b), c), a)) = mult(mult(mult(a, c), mult(b, a)), mult(mult(a, b), mult(a, c)))),
% 6.26/6.43 inference(monotonicity,[status(thm)],[14507, 168])).
% 6.26/6.43 tff(14567,plain,
% 6.26/6.43 (mult(mult(c, mult(mult(a, b), a)), mult(mult(mult(a, b), c), a)) = mult(mult(c, mult(mult(a, b), a)), mult(c, mult(mult(a, b), a)))),
% 6.26/6.43 inference(transitivity,[status(thm)],[14566, 14565, 12877, 14547, 14546, 14545, 14512, 14509])).
% 6.26/6.43 tff(14568,plain,
% 6.26/6.43 (ld(mult(c, mult(mult(a, b), a)), mult(mult(c, mult(mult(a, b), a)), mult(mult(mult(a, b), c), a))) = ld(mult(c, mult(mult(a, b), a)), mult(mult(c, mult(mult(a, b), a)), mult(c, mult(mult(a, b), a))))),
% 6.26/6.43 inference(monotonicity,[status(thm)],[14567])).
% 6.26/6.43 tff(14569,plain,
% 6.26/6.43 (ld(mult(c, mult(mult(a, b), a)), mult(mult(c, mult(mult(a, b), a)), mult(c, mult(mult(a, b), a)))) = ld(mult(c, mult(mult(a, b), a)), mult(mult(c, mult(mult(a, b), a)), mult(mult(mult(a, b), c), a)))),
% 6.26/6.43 inference(symmetry,[status(thm)],[14568])).
% 6.26/6.43 tff(14570,plain,
% 6.26/6.43 ((~![B: $i, A: $i] : (ld(A, mult(A, B)) = B)) | (ld(mult(c, mult(mult(a, b), a)), mult(mult(c, mult(mult(a, b), a)), mult(c, mult(mult(a, b), a)))) = mult(c, mult(mult(a, b), a)))),
% 6.26/6.43 inference(quant_inst,[status(thm)],[])).
% 6.26/6.43 tff(14571,plain,
% 6.26/6.43 (ld(mult(c, mult(mult(a, b), a)), mult(mult(c, mult(mult(a, b), a)), mult(c, mult(mult(a, b), a)))) = mult(c, mult(mult(a, b), a))),
% 6.26/6.43 inference(unit_resolution,[status(thm)],[14570, 9])).
% 6.26/6.43 tff(14572,plain,
% 6.26/6.43 (mult(c, mult(mult(a, b), a)) = ld(mult(c, mult(mult(a, b), a)), mult(mult(c, mult(mult(a, b), a)), mult(c, mult(mult(a, b), a))))),
% 6.26/6.44 inference(symmetry,[status(thm)],[14571])).
% 6.26/6.44 tff(14573,plain,
% 6.26/6.44 (mult(a, mult(b, mult(c, a))) = mult(mult(mult(a, b), c), a)),
% 6.26/6.44 inference(transitivity,[status(thm)],[13277, 13276, 10816, 14505, 12147, 14572, 14569, 14503])).
% 6.26/6.44 tff(14574,plain,
% 6.26/6.44 ($false),
% 6.26/6.44 inference(unit_resolution,[status(thm)],[194, 14573])).
% 6.26/6.44 tff(14575,plain,((~(mult(mult(mult(mult(a, c), mult(b, a)), a), c) = mult(mult(mult(a, c), mult(b, a)), mult(a, c)))) | (~(mult(mult(mult(a, b), c), a) = mult(mult(a, b), mult(a, c)))) | (~(mult(mult(mult(a, c), a), b) = mult(mult(a, c), mult(b, a)))) | (~(mult(mult(a, mult(mult(a, b), a)), c) = mult(a, mult(c, mult(mult(a, b), a))))) | (~(mult(mult(mult(a, a), mult(b, a)), c) = mult(mult(a, a), mult(mult(b, a), c)))) | (~(mult(mult(a, a), mult(b, mult(c, a))) = mult(a, mult(a, mult(b, mult(c, a)))))) | (~(mult(mult(a, a), mult(b, a)) = mult(a, mult(a, mult(b, a))))) | (mult(mult(mult(a, c), b), a) = mult(mult(a, c), mult(b, a))) | (~(mult(mult(a, mult(c, a)), b) = mult(a, mult(b, mult(c, a))))) | (mult(mult(mult(mult(mult(a, c), mult(b, a)), mult(a, c)), a), b) = mult(mult(mult(mult(a, c), mult(b, a)), mult(a, c)), mult(b, a))) | (~(mult(mult(mult(a, c), mult(b, a)), mult(mult(b, a), mult(a, c))) = mult(mult(a, c), mult(mult(mult(b, a), mult(a, c)), mult(b, a)))))), inference(lemma,lemma(discharge,[]))).
% 6.26/6.44 tff(14576,plain,
% 6.26/6.44 (~(mult(mult(mult(mult(a, c), mult(b, a)), a), c) = mult(mult(mult(a, c), mult(b, a)), mult(a, c)))),
% 6.26/6.44 inference(unit_resolution,[status(thm)],[14575, 14501, 1362, 12900, 14488, 14487, 11024, 614, 1736, 13542, 168])).
% 6.26/6.44 tff(14577,plain,
% 6.26/6.44 ((~(mult(mult(mult(mult(a, c), mult(b, a)), a), c) = mult(mult(mult(a, c), mult(b, a)), mult(a, c)))) | (~(mult(mult(mult(mult(a, c), mult(b, a)), c), a) = mult(mult(mult(a, c), mult(b, a)), mult(c, a))))),
% 6.26/6.44 inference(unit_resolution,[status(thm)],[8949, 14576])).
% 6.26/6.44 tff(14578,plain,
% 6.26/6.44 (~((~(mult(mult(mult(mult(a, c), mult(b, a)), a), c) = mult(mult(mult(a, c), mult(b, a)), mult(c, a)))) | (~(mult(mult(mult(mult(a, c), mult(b, a)), c), a) = mult(mult(mult(a, c), mult(b, a)), mult(a, c)))))),
% 6.26/6.44 inference(unit_resolution,[status(thm)],[8843, 14577])).
% 6.26/6.44 tff(14579,plain,
% 6.26/6.44 (mult(mult(mult(mult(a, c), mult(b, a)), c), a) = mult(mult(mult(a, c), mult(b, a)), mult(a, c))),
% 6.26/6.44 inference(unit_resolution,[status(thm)],[8835, 14578])).
% 6.26/6.44 tff(14580,plain,
% 6.26/6.44 (mult(mult(a, a), mult(mult(b, a), c)) = mult(mult(mult(a, a), mult(b, a)), c)),
% 6.26/6.44 inference(symmetry,[status(thm)],[14501])).
% 6.26/6.44 tff(14581,plain,
% 6.26/6.44 (mult(a, mult(a, mult(b, mult(c, a)))) = mult(mult(a, a), mult(b, mult(c, a)))),
% 6.26/6.44 inference(symmetry,[status(thm)],[14487])).
% 6.26/6.44 tff(14582,plain,
% 6.26/6.44 (mult(a, mult(mult(a, c), mult(b, a))) = mult(a, mult(c, mult(mult(a, b), a)))),
% 6.26/6.44 inference(transitivity,[status(thm)],[13476, 14581, 13493, 14580, 13596, 14488])).
% 6.26/6.44 tff(14583,plain,
% 6.26/6.44 (ld(a, mult(a, mult(mult(a, c), mult(b, a)))) = ld(a, mult(a, mult(c, mult(mult(a, b), a))))),
% 6.26/6.44 inference(monotonicity,[status(thm)],[14582])).
% 6.26/6.44 tff(14584,plain,
% 6.26/6.44 (ld(a, mult(a, mult(c, mult(mult(a, b), a)))) = ld(a, mult(a, mult(mult(a, c), mult(b, a))))),
% 6.26/6.44 inference(symmetry,[status(thm)],[14583])).
% 6.26/6.44 tff(14585,plain,
% 6.26/6.44 (mult(mult(mult(c, a), b), a) = mult(mult(a, c), mult(b, a))),
% 6.26/6.44 inference(transitivity,[status(thm)],[2807, 13624, 14584, 10815])).
% 6.26/6.44 tff(14586,plain,
% 6.26/6.44 (mult(mult(mult(mult(c, a), b), a), c) = mult(mult(mult(a, c), mult(b, a)), c)),
% 6.26/6.44 inference(monotonicity,[status(thm)],[14585])).
% 6.26/6.44 tff(14587,plain,
% 6.26/6.44 (mult(mult(mult(mult(mult(c, a), b), a), c), a) = mult(mult(mult(mult(a, c), mult(b, a)), c), a)),
% 6.26/6.44 inference(monotonicity,[status(thm)],[14586])).
% 6.26/6.44 tff(14588,plain,
% 6.26/6.44 ((~![C: $i, B: $i, A: $i] : (mult(mult(mult(A, B), C), B) = mult(A, mult(mult(B, C), B)))) | (mult(mult(mult(mult(mult(c, a), b), a), c), a) = mult(mult(mult(c, a), b), mult(mult(a, c), a)))),
% 6.26/6.44 inference(quant_inst,[status(thm)],[])).
% 6.26/6.44 tff(14589,plain,
% 6.26/6.44 (mult(mult(mult(mult(mult(c, a), b), a), c), a) = mult(mult(mult(c, a), b), mult(mult(a, c), a))),
% 6.26/6.44 inference(unit_resolution,[status(thm)],[14588, 860])).
% 6.26/6.44 tff(14590,plain,
% 6.26/6.44 (mult(mult(mult(c, a), b), mult(mult(a, c), a)) = mult(mult(mult(mult(mult(c, a), b), a), c), a)),
% 6.26/6.44 inference(symmetry,[status(thm)],[14589])).
% 6.26/6.44 tff(14591,plain,
% 6.26/6.44 (mult(mult(mult(c, a), b), mult(mult(a, c), a)) = mult(mult(mult(a, c), mult(b, a)), mult(a, c))),
% 6.26/6.44 inference(transitivity,[status(thm)],[14590, 14587, 14579])).
% 6.26/6.44 tff(14592,plain,
% 6.26/6.44 (mult(mult(mult(mult(c, a), b), mult(mult(a, c), a)), b) = mult(mult(mult(mult(a, c), mult(b, a)), mult(a, c)), b)),
% 6.26/6.44 inference(monotonicity,[status(thm)],[14591])).
% 6.26/6.44 tff(14593,plain,
% 6.26/6.44 (mult(mult(mult(mult(a, c), mult(b, a)), mult(a, c)), b) = mult(mult(mult(mult(c, a), b), mult(mult(a, c), a)), b)),
% 6.26/6.44 inference(symmetry,[status(thm)],[14592])).
% 6.26/6.44 tff(14594,plain,
% 6.26/6.44 (mult(mult(mult(mult(mult(a, c), mult(b, a)), c), a), b) = mult(mult(mult(mult(a, c), mult(b, a)), mult(a, c)), b)),
% 6.26/6.44 inference(monotonicity,[status(thm)],[14579])).
% 6.26/6.44 tff(14595,plain,
% 6.26/6.44 (mult(mult(mult(mult(mult(mult(a, c), mult(b, a)), c), a), b), a) = mult(mult(mult(mult(mult(a, c), mult(b, a)), mult(a, c)), b), a)),
% 6.26/6.44 inference(monotonicity,[status(thm)],[14594])).
% 6.26/6.44 tff(14596,plain,
% 6.26/6.44 (mult(mult(mult(mult(a, c), mult(b, a)), c), mult(mult(a, b), a)) = mult(mult(mult(mult(a, c), mult(b, a)), mult(a, c)), mult(b, a))),
% 6.26/6.44 inference(transitivity,[status(thm)],[11682, 14595, 13545])).
% 6.26/6.44 tff(14597,plain,
% 6.26/6.44 (mult(mult(mult(mult(mult(a, c), mult(b, a)), mult(a, c)), a), b) = mult(mult(mult(mult(a, c), mult(b, a)), mult(a, c)), mult(a, b))),
% 6.26/6.44 inference(unit_resolution,[status(thm)],[6769, 13544])).
% 6.26/6.44 tff(14598,plain,
% 6.26/6.44 (mult(mult(mult(mult(a, c), mult(b, a)), mult(a, c)), mult(a, b)) = mult(mult(mult(mult(mult(a, c), mult(b, a)), mult(a, c)), a), b)),
% 6.26/6.44 inference(symmetry,[status(thm)],[14597])).
% 6.26/6.44 tff(14599,plain,
% 6.26/6.44 (mult(mult(mult(mult(mult(a, c), mult(b, a)), c), a), mult(a, b)) = mult(mult(mult(mult(a, c), mult(b, a)), mult(a, c)), mult(a, b))),
% 6.26/6.44 inference(monotonicity,[status(thm)],[14579])).
% 6.26/6.44 tff(14600,plain,
% 6.26/6.44 (mult(mult(mult(mult(mult(a, c), mult(b, a)), c), a), mult(a, b)) = mult(mult(mult(mult(mult(a, c), mult(b, a)), mult(a, c)), a), b)),
% 6.26/6.44 inference(transitivity,[status(thm)],[14599, 14598])).
% 6.26/6.44 tff(14601,plain,
% 6.26/6.44 ((mult(mult(mult(mult(mult(a, c), mult(b, a)), c), a), mult(a, b)) = mult(mult(mult(mult(a, c), mult(b, a)), c), mult(mult(a, b), a))) <=> (mult(mult(mult(mult(mult(a, c), mult(b, a)), mult(a, c)), a), b) = mult(mult(mult(mult(a, c), mult(b, a)), mult(a, c)), mult(b, a)))),
% 6.26/6.44 inference(monotonicity,[status(thm)],[14600, 14596])).
% 6.26/6.44 tff(14602,plain,
% 6.26/6.44 ((mult(mult(mult(mult(mult(a, c), mult(b, a)), mult(a, c)), a), b) = mult(mult(mult(mult(a, c), mult(b, a)), mult(a, c)), mult(b, a))) <=> (mult(mult(mult(mult(mult(a, c), mult(b, a)), c), a), mult(a, b)) = mult(mult(mult(mult(a, c), mult(b, a)), c), mult(mult(a, b), a)))),
% 6.26/6.44 inference(symmetry,[status(thm)],[14601])).
% 6.26/6.44 tff(14603,plain,
% 6.26/6.44 ((~(mult(mult(mult(mult(mult(a, c), mult(b, a)), mult(a, c)), a), b) = mult(mult(mult(mult(a, c), mult(b, a)), mult(a, c)), mult(b, a)))) <=> (~(mult(mult(mult(mult(mult(a, c), mult(b, a)), c), a), mult(a, b)) = mult(mult(mult(mult(a, c), mult(b, a)), c), mult(mult(a, b), a))))),
% 6.26/6.44 inference(monotonicity,[status(thm)],[14602])).
% 6.26/6.44 tff(14604,plain,
% 6.26/6.44 (~(mult(mult(mult(mult(mult(a, c), mult(b, a)), c), a), mult(a, b)) = mult(mult(mult(mult(a, c), mult(b, a)), c), mult(mult(a, b), a)))),
% 6.26/6.44 inference(modus_ponens,[status(thm)],[13542, 14603])).
% 6.26/6.44 tff(14605,plain,
% 6.26/6.44 (((~(mult(mult(mult(mult(mult(a, c), mult(b, a)), c), mult(a, b)), a) = mult(mult(mult(mult(a, c), mult(b, a)), c), mult(a, mult(a, b))))) | (~(mult(mult(mult(mult(mult(a, c), mult(b, a)), c), a), mult(a, b)) = mult(mult(mult(mult(a, c), mult(b, a)), c), mult(mult(a, b), a))))) | (mult(mult(mult(mult(mult(a, c), mult(b, a)), c), a), mult(a, b)) = mult(mult(mult(mult(a, c), mult(b, a)), c), mult(mult(a, b), a)))),
% 6.26/6.44 inference(tautology,[status(thm)],[])).
% 6.26/6.44 tff(14606,plain,
% 6.26/6.44 ((~(mult(mult(mult(mult(mult(a, c), mult(b, a)), c), mult(a, b)), a) = mult(mult(mult(mult(a, c), mult(b, a)), c), mult(a, mult(a, b))))) | (~(mult(mult(mult(mult(mult(a, c), mult(b, a)), c), a), mult(a, b)) = mult(mult(mult(mult(a, c), mult(b, a)), c), mult(mult(a, b), a))))),
% 6.26/6.44 inference(unit_resolution,[status(thm)],[14605, 14604])).
% 6.26/6.44 tff(14607,plain,
% 6.26/6.44 (((~![X0: $i, X1: $i, X2: $i] : ((~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X2, X1)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X1, X2)))))) | (~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X1, X2)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X2, X1)))))))) | ((~((~(mult(mult(mult(mult(mult(a, c), mult(b, a)), c), mult(a, b)), a) = mult(mult(mult(mult(a, c), mult(b, a)), c), mult(a, mult(a, b))))) | (~(mult(mult(mult(mult(mult(a, c), mult(b, a)), c), a), mult(a, b)) = mult(mult(mult(mult(a, c), mult(b, a)), c), mult(mult(a, b), a)))))) | (~((~(mult(mult(mult(mult(mult(a, c), mult(b, a)), c), mult(a, b)), a) = mult(mult(mult(mult(a, c), mult(b, a)), c), mult(mult(a, b), a)))) | (~(mult(mult(mult(mult(mult(a, c), mult(b, a)), c), a), mult(a, b)) = mult(mult(mult(mult(a, c), mult(b, a)), c), mult(a, mult(a, b))))))))) <=> ((~![X0: $i, X1: $i, X2: $i] : ((~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X2, X1)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X1, X2)))))) | (~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X1, X2)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X2, X1)))))))) | (~((~(mult(mult(mult(mult(mult(a, c), mult(b, a)), c), mult(a, b)), a) = mult(mult(mult(mult(a, c), mult(b, a)), c), mult(a, mult(a, b))))) | (~(mult(mult(mult(mult(mult(a, c), mult(b, a)), c), a), mult(a, b)) = mult(mult(mult(mult(a, c), mult(b, a)), c), mult(mult(a, b), a)))))) | (~((~(mult(mult(mult(mult(mult(a, c), mult(b, a)), c), mult(a, b)), a) = mult(mult(mult(mult(a, c), mult(b, a)), c), mult(mult(a, b), a)))) | (~(mult(mult(mult(mult(mult(a, c), mult(b, a)), c), a), mult(a, b)) = mult(mult(mult(mult(a, c), mult(b, a)), c), mult(a, mult(a, b))))))))),
% 6.26/6.44 inference(rewrite,[status(thm)],[])).
% 6.26/6.44 tff(14608,plain,
% 6.26/6.44 ((~![X0: $i, X1: $i, X2: $i] : ((~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X2, X1)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X1, X2)))))) | (~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X1, X2)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X2, X1)))))))) | ((~((~(mult(mult(mult(mult(mult(a, c), mult(b, a)), c), mult(a, b)), a) = mult(mult(mult(mult(a, c), mult(b, a)), c), mult(a, mult(a, b))))) | (~(mult(mult(mult(mult(mult(a, c), mult(b, a)), c), a), mult(a, b)) = mult(mult(mult(mult(a, c), mult(b, a)), c), mult(mult(a, b), a)))))) | (~((~(mult(mult(mult(mult(mult(a, c), mult(b, a)), c), mult(a, b)), a) = mult(mult(mult(mult(a, c), mult(b, a)), c), mult(mult(a, b), a)))) | (~(mult(mult(mult(mult(mult(a, c), mult(b, a)), c), a), mult(a, b)) = mult(mult(mult(mult(a, c), mult(b, a)), c), mult(a, mult(a, b))))))))),
% 6.26/6.44 inference(quant_inst,[status(thm)],[])).
% 6.26/6.44 tff(14609,plain,
% 6.26/6.44 ((~![X0: $i, X1: $i, X2: $i] : ((~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X2, X1)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X1, X2)))))) | (~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X1, X2)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X2, X1)))))))) | (~((~(mult(mult(mult(mult(mult(a, c), mult(b, a)), c), mult(a, b)), a) = mult(mult(mult(mult(a, c), mult(b, a)), c), mult(a, mult(a, b))))) | (~(mult(mult(mult(mult(mult(a, c), mult(b, a)), c), a), mult(a, b)) = mult(mult(mult(mult(a, c), mult(b, a)), c), mult(mult(a, b), a)))))) | (~((~(mult(mult(mult(mult(mult(a, c), mult(b, a)), c), mult(a, b)), a) = mult(mult(mult(mult(a, c), mult(b, a)), c), mult(mult(a, b), a)))) | (~(mult(mult(mult(mult(mult(a, c), mult(b, a)), c), a), mult(a, b)) = mult(mult(mult(mult(a, c), mult(b, a)), c), mult(a, mult(a, b)))))))),
% 6.26/6.44 inference(modus_ponens,[status(thm)],[14608, 14607])).
% 6.26/6.44 tff(14610,plain,
% 6.26/6.44 ((~((~(mult(mult(mult(mult(mult(a, c), mult(b, a)), c), mult(a, b)), a) = mult(mult(mult(mult(a, c), mult(b, a)), c), mult(a, mult(a, b))))) | (~(mult(mult(mult(mult(mult(a, c), mult(b, a)), c), a), mult(a, b)) = mult(mult(mult(mult(a, c), mult(b, a)), c), mult(mult(a, b), a)))))) | (~((~(mult(mult(mult(mult(mult(a, c), mult(b, a)), c), mult(a, b)), a) = mult(mult(mult(mult(a, c), mult(b, a)), c), mult(mult(a, b), a)))) | (~(mult(mult(mult(mult(mult(a, c), mult(b, a)), c), a), mult(a, b)) = mult(mult(mult(mult(a, c), mult(b, a)), c), mult(a, mult(a, b)))))))),
% 6.26/6.44 inference(unit_resolution,[status(thm)],[14609, 30])).
% 6.26/6.44 tff(14611,plain,
% 6.26/6.44 (~((~(mult(mult(mult(mult(mult(a, c), mult(b, a)), c), mult(a, b)), a) = mult(mult(mult(mult(a, c), mult(b, a)), c), mult(mult(a, b), a)))) | (~(mult(mult(mult(mult(mult(a, c), mult(b, a)), c), a), mult(a, b)) = mult(mult(mult(mult(a, c), mult(b, a)), c), mult(a, mult(a, b))))))),
% 6.26/6.44 inference(unit_resolution,[status(thm)],[14610, 14606])).
% 6.26/6.44 tff(14612,plain,
% 6.26/6.44 (((~(mult(mult(mult(mult(mult(a, c), mult(b, a)), c), mult(a, b)), a) = mult(mult(mult(mult(a, c), mult(b, a)), c), mult(mult(a, b), a)))) | (~(mult(mult(mult(mult(mult(a, c), mult(b, a)), c), a), mult(a, b)) = mult(mult(mult(mult(a, c), mult(b, a)), c), mult(a, mult(a, b)))))) | (mult(mult(mult(mult(mult(a, c), mult(b, a)), c), mult(a, b)), a) = mult(mult(mult(mult(a, c), mult(b, a)), c), mult(mult(a, b), a)))),
% 6.26/6.44 inference(tautology,[status(thm)],[])).
% 6.26/6.44 tff(14613,plain,
% 6.26/6.44 (mult(mult(mult(mult(mult(a, c), mult(b, a)), c), mult(a, b)), a) = mult(mult(mult(mult(a, c), mult(b, a)), c), mult(mult(a, b), a))),
% 6.26/6.44 inference(unit_resolution,[status(thm)],[14612, 14611])).
% 6.26/6.44 tff(14614,plain,
% 6.26/6.44 (mult(mult(mult(mult(mult(a, c), mult(b, a)), c), mult(a, b)), a) = mult(mult(mult(mult(mult(a, c), mult(b, a)), mult(a, c)), b), a)),
% 6.26/6.44 inference(transitivity,[status(thm)],[14613, 11682, 14595])).
% 6.26/6.44 tff(14615,plain,
% 6.26/6.44 (rd(mult(mult(mult(mult(mult(a, c), mult(b, a)), c), mult(a, b)), a), a) = rd(mult(mult(mult(mult(mult(a, c), mult(b, a)), mult(a, c)), b), a), a)),
% 6.26/6.44 inference(monotonicity,[status(thm)],[14614])).
% 6.26/6.44 tff(14616,plain,
% 6.26/6.44 ((~![B: $i, A: $i] : (rd(mult(A, B), B) = A)) | (rd(mult(mult(mult(mult(mult(a, c), mult(b, a)), c), mult(a, b)), a), a) = mult(mult(mult(mult(a, c), mult(b, a)), c), mult(a, b)))),
% 6.26/6.44 inference(quant_inst,[status(thm)],[])).
% 6.26/6.44 tff(14617,plain,
% 6.26/6.44 (rd(mult(mult(mult(mult(mult(a, c), mult(b, a)), c), mult(a, b)), a), a) = mult(mult(mult(mult(a, c), mult(b, a)), c), mult(a, b))),
% 6.26/6.44 inference(unit_resolution,[status(thm)],[14616, 72])).
% 6.26/6.44 tff(14618,plain,
% 6.26/6.44 (mult(mult(mult(mult(a, c), mult(b, a)), c), mult(a, b)) = rd(mult(mult(mult(mult(mult(a, c), mult(b, a)), c), mult(a, b)), a), a)),
% 6.26/6.44 inference(symmetry,[status(thm)],[14617])).
% 6.26/6.44 tff(14619,plain,
% 6.26/6.44 (mult(mult(c, a), mult(a, b)) = mult(mult(a, c), mult(b, a))),
% 6.26/6.44 inference(transitivity,[status(thm)],[9263, 13624, 14584, 10815])).
% 6.26/6.44 tff(14620,plain,
% 6.26/6.44 (mult(mult(mult(c, a), mult(a, b)), c) = mult(mult(mult(a, c), mult(b, a)), c)),
% 6.26/6.44 inference(monotonicity,[status(thm)],[14619])).
% 6.26/6.44 tff(14621,plain,
% 6.26/6.44 (mult(mult(mult(mult(c, a), mult(a, b)), c), mult(a, b)) = mult(mult(mult(mult(a, c), mult(b, a)), c), mult(a, b))),
% 6.26/6.44 inference(monotonicity,[status(thm)],[14620])).
% 6.26/6.44 tff(14622,plain,
% 6.26/6.44 ((~![C: $i, B: $i, A: $i] : (mult(mult(mult(A, B), C), B) = mult(A, mult(mult(B, C), B)))) | (mult(mult(mult(mult(c, a), mult(a, b)), c), mult(a, b)) = mult(mult(c, a), mult(mult(mult(a, b), c), mult(a, b))))),
% 6.26/6.44 inference(quant_inst,[status(thm)],[])).
% 6.26/6.44 tff(14623,plain,
% 6.26/6.44 (mult(mult(mult(mult(c, a), mult(a, b)), c), mult(a, b)) = mult(mult(c, a), mult(mult(mult(a, b), c), mult(a, b)))),
% 6.26/6.44 inference(unit_resolution,[status(thm)],[14622, 860])).
% 6.26/6.44 tff(14624,plain,
% 6.26/6.44 (mult(mult(c, a), mult(mult(mult(a, b), c), mult(a, b))) = mult(mult(mult(mult(c, a), mult(a, b)), c), mult(a, b))),
% 6.26/6.44 inference(symmetry,[status(thm)],[14623])).
% 6.26/6.44 tff(14625,plain,
% 6.26/6.44 (mult(mult(mult(a, b), c), mult(a, b)) = mult(mult(a, mult(b, c)), mult(a, b))),
% 6.26/6.44 inference(monotonicity,[status(thm)],[8959])).
% 6.26/6.44 tff(14626,plain,
% 6.26/6.44 (mult(mult(a, mult(b, c)), mult(a, b)) = mult(mult(mult(a, b), c), mult(a, b))),
% 6.26/6.44 inference(symmetry,[status(thm)],[14625])).
% 6.26/6.44 tff(14627,plain,
% 6.26/6.44 (mult(mult(c, a), mult(mult(a, mult(b, c)), mult(a, b))) = mult(mult(c, a), mult(mult(mult(a, b), c), mult(a, b)))),
% 6.26/6.45 inference(monotonicity,[status(thm)],[14626])).
% 6.26/6.45 tff(14628,plain,
% 6.26/6.45 (mult(mult(c, a), mult(mult(a, mult(b, c)), mult(a, b))) = mult(mult(c, a), mult(mult(mult(b, a), mult(a, c)), b))),
% 6.26/6.45 inference(transitivity,[status(thm)],[14627, 14624, 14621, 14618, 14615, 13377, 14593, 14486, 14484])).
% 6.26/6.45 tff(14629,plain,
% 6.26/6.45 (ld(mult(c, a), mult(mult(c, a), mult(mult(a, mult(b, c)), mult(a, b)))) = ld(mult(c, a), mult(mult(c, a), mult(mult(mult(b, a), mult(a, c)), b)))),
% 6.26/6.45 inference(monotonicity,[status(thm)],[14628])).
% 6.26/6.45 tff(14630,plain,
% 6.26/6.45 ((~![B: $i, A: $i] : (ld(A, mult(A, B)) = B)) | (ld(mult(c, a), mult(mult(c, a), mult(mult(a, mult(b, c)), mult(a, b)))) = mult(mult(a, mult(b, c)), mult(a, b)))),
% 6.26/6.45 inference(quant_inst,[status(thm)],[])).
% 6.26/6.45 tff(14631,plain,
% 6.26/6.45 (ld(mult(c, a), mult(mult(c, a), mult(mult(a, mult(b, c)), mult(a, b)))) = mult(mult(a, mult(b, c)), mult(a, b))),
% 6.26/6.45 inference(unit_resolution,[status(thm)],[14630, 9])).
% 6.26/6.45 tff(14632,plain,
% 6.26/6.45 (mult(mult(a, mult(b, c)), mult(a, b)) = ld(mult(c, a), mult(mult(c, a), mult(mult(a, mult(b, c)), mult(a, b))))),
% 6.26/6.45 inference(symmetry,[status(thm)],[14631])).
% 6.26/6.45 tff(14633,plain,
% 6.26/6.45 (mult(mult(mult(a, b), c), mult(a, b)) = mult(mult(b, mult(mult(a, c), a)), b)),
% 6.26/6.45 inference(transitivity,[status(thm)],[14625, 14632, 14629, 14482, 11822])).
% 6.26/6.45 tff(14634,plain,
% 6.26/6.45 (mult(a, mult(mult(mult(a, b), c), mult(a, b))) = mult(a, mult(mult(b, mult(mult(a, c), a)), b))),
% 6.26/6.45 inference(monotonicity,[status(thm)],[14633])).
% 6.26/6.45 tff(14635,plain,
% 6.26/6.45 (mult(mult(a, a), mult(b, c)) = mult(mult(a, mult(a, b)), c)),
% 6.26/6.45 inference(transitivity,[status(thm)],[10911, 10420, 14461])).
% 6.26/6.45 tff(14636,plain,
% 6.26/6.45 (mult(mult(mult(a, a), mult(b, c)), mult(a, b)) = mult(mult(mult(a, mult(a, b)), c), mult(a, b))),
% 6.26/6.45 inference(monotonicity,[status(thm)],[14635])).
% 6.26/6.45 tff(14637,plain,
% 6.26/6.45 (mult(a, mult(a, mult(b, c))) = mult(mult(a, a), mult(b, c))),
% 6.26/6.45 inference(symmetry,[status(thm)],[10911])).
% 6.26/6.45 tff(14638,plain,
% 6.26/6.45 (mult(a, mult(mult(a, b), c)) = mult(mult(a, a), mult(b, c))),
% 6.26/6.45 inference(transitivity,[status(thm)],[10421, 14637])).
% 6.26/6.45 tff(14639,plain,
% 6.26/6.45 (mult(mult(a, mult(mult(a, b), c)), mult(a, b)) = mult(mult(mult(a, a), mult(b, c)), mult(a, b))),
% 6.26/6.45 inference(monotonicity,[status(thm)],[14638])).
% 6.26/6.45 tff(14640,plain,
% 6.26/6.45 (mult(mult(a, mult(mult(a, b), c)), mult(a, b)) = mult(mult(mult(mult(a, b), c), a), mult(a, b))),
% 6.26/6.45 inference(transitivity,[status(thm)],[14639, 14636, 6127, 14634, 11820, 14480, 10947, 7849, 13561, 7202, 11795, 13549])).
% 6.26/6.45 tff(14641,plain,
% 6.26/6.45 (rd(mult(mult(a, mult(mult(a, b), c)), mult(a, b)), mult(a, b)) = rd(mult(mult(mult(mult(a, b), c), a), mult(a, b)), mult(a, b))),
% 6.26/6.45 inference(monotonicity,[status(thm)],[14640])).
% 6.26/6.45 tff(14642,plain,
% 6.26/6.45 ((~![B: $i, A: $i] : (rd(mult(A, B), B) = A)) | (rd(mult(mult(a, mult(mult(a, b), c)), mult(a, b)), mult(a, b)) = mult(a, mult(mult(a, b), c)))),
% 6.26/6.45 inference(quant_inst,[status(thm)],[])).
% 6.26/6.45 tff(14643,plain,
% 6.26/6.45 (rd(mult(mult(a, mult(mult(a, b), c)), mult(a, b)), mult(a, b)) = mult(a, mult(mult(a, b), c))),
% 6.26/6.45 inference(unit_resolution,[status(thm)],[14642, 72])).
% 6.26/6.45 tff(14644,plain,
% 6.26/6.45 (mult(a, mult(mult(a, b), c)) = rd(mult(mult(a, mult(mult(a, b), c)), mult(a, b)), mult(a, b))),
% 6.26/6.45 inference(symmetry,[status(thm)],[14643])).
% 6.26/6.45 tff(14645,plain,
% 6.26/6.45 (mult(mult(mult(a, a), b), c) = mult(mult(mult(a, b), c), a)),
% 6.26/6.45 inference(transitivity,[status(thm)],[5347, 8996, 14644, 14641, 11490])).
% 6.26/6.45 tff(14646,plain,
% 6.26/6.45 (mult(mult(mult(mult(a, a), b), c), a) = mult(mult(mult(mult(a, b), c), a), a)),
% 6.26/6.45 inference(monotonicity,[status(thm)],[14645])).
% 6.26/6.45 tff(14647,plain,
% 6.26/6.45 (mult(mult(mult(mult(a, b), c), a), a) = mult(mult(mult(mult(a, a), b), c), a)),
% 6.26/6.45 inference(symmetry,[status(thm)],[14646])).
% 6.26/6.45 tff(14648,plain,
% 6.26/6.45 (mult(a, mult(b, mult(a, mult(a, c)))) = mult(a, mult(mult(mult(a, b), c), a))),
% 6.26/6.45 inference(transitivity,[status(thm)],[10564, 13554, 12982, 14647, 14464, 5500, 12847, 14460])).
% 6.26/6.45 tff(14649,plain,
% 6.26/6.45 (ld(a, mult(a, mult(b, mult(a, mult(a, c))))) = ld(a, mult(a, mult(mult(mult(a, b), c), a)))),
% 6.26/6.45 inference(monotonicity,[status(thm)],[14648])).
% 6.26/6.45 tff(14650,plain,
% 6.26/6.45 (mult(b, mult(a, mult(a, c))) = ld(a, mult(a, mult(b, mult(a, mult(a, c)))))),
% 6.26/6.45 inference(symmetry,[status(thm)],[11979])).
% 6.26/6.45 tff(14651,plain,
% 6.26/6.45 (mult(b, mult(a, mult(a, c))) = mult(mult(mult(a, b), c), a)),
% 6.26/6.45 inference(transitivity,[status(thm)],[14650, 14649, 14459])).
% 6.26/6.45 tff(14652,plain,
% 6.26/6.45 (mult(mult(b, mult(a, mult(a, c))), b) = mult(mult(mult(mult(a, b), c), a), b)),
% 6.26/6.45 inference(monotonicity,[status(thm)],[14651])).
% 6.26/6.45 tff(14653,plain,
% 6.26/6.45 (mult(mult(mult(mult(a, b), c), a), b) = mult(mult(b, mult(a, mult(a, c))), b)),
% 6.26/6.45 inference(symmetry,[status(thm)],[14652])).
% 6.26/6.45 tff(14654,plain,
% 6.26/6.45 (mult(a, mult(mult(mult(mult(a, b), c), a), b)) = mult(a, mult(mult(b, mult(a, mult(a, c))), b))),
% 6.26/6.45 inference(monotonicity,[status(thm)],[14653])).
% 6.26/6.45 tff(14655,plain,
% 6.26/6.45 (rd(mult(mult(mult(mult(a, b), c), a), mult(a, b)), mult(a, b)) = rd(mult(mult(a, mult(mult(a, b), c)), mult(a, b)), mult(a, b))),
% 6.26/6.45 inference(symmetry,[status(thm)],[14641])).
% 6.26/6.45 tff(14656,plain,
% 6.26/6.45 (mult(a, mult(mult(b, c), a)) = mult(a, mult(mult(a, b), c))),
% 6.26/6.45 inference(transitivity,[status(thm)],[11403, 10660, 11491, 14655, 14643])).
% 6.26/6.45 tff(14657,plain,
% 6.26/6.45 (ld(a, mult(a, mult(mult(b, c), a))) = ld(a, mult(a, mult(mult(a, b), c)))),
% 6.26/6.45 inference(monotonicity,[status(thm)],[14656])).
% 6.26/6.45 tff(14658,plain,
% 6.26/6.45 (mult(mult(b, c), a) = mult(mult(a, b), c)),
% 6.26/6.45 inference(transitivity,[status(thm)],[5314, 14657, 114])).
% 6.26/6.45 tff(14659,plain,
% 6.26/6.45 (mult(mult(mult(b, c), a), mult(mult(a, b), a)) = mult(mult(mult(a, b), c), mult(mult(a, b), a))),
% 6.26/6.45 inference(monotonicity,[status(thm)],[14658])).
% 6.26/6.45 tff(14660,plain,
% 6.26/6.45 (mult(mult(b, mult(a, c)), mult(mult(a, b), a)) = mult(mult(mult(b, c), a), mult(mult(a, b), a))),
% 6.26/6.45 inference(monotonicity,[status(thm)],[5317])).
% 6.26/6.45 tff(14661,plain,
% 6.26/6.45 (~(mult(mult(a, mult(a, b)), mult(c, a)) = mult(a, mult(mult(a, b), mult(c, a))))),
% 6.26/6.45 inference(unit_resolution,[status(thm)],[13660, 14469, 12437])).
% 6.26/6.45 tff(14662,plain,
% 6.26/6.45 (mult(mult(a, mult(a, b)), mult(c, a)) = mult(a, mult(mult(c, a), mult(a, b)))),
% 6.26/6.45 inference(unit_resolution,[status(thm)],[13333, 14661])).
% 6.26/6.45 tff(14663,plain,
% 6.26/6.45 (mult(mult(a, mult(c, a)), mult(a, b)) = mult(a, mult(mult(a, b), mult(c, a)))),
% 6.26/6.45 inference(unit_resolution,[status(thm)],[13674, 14471, 6854])).
% 6.26/6.45 tff(14664,plain,
% 6.26/6.45 (mult(mult(mult(a, a), b), mult(c, a)) = mult(mult(a, a), mult(b, mult(c, a)))),
% 6.26/6.45 inference(modus_ponens,[status(thm)],[14501, 13678])).
% 6.26/6.45 tff(14665,plain,
% 6.26/6.45 (~(mult(mult(a, mult(b, mult(c, a))), b) = mult(a, mult(mult(b, mult(c, a)), b)))),
% 6.26/6.45 inference(unit_resolution,[status(thm)],[13718, 14664, 342, 6854, 119, 1362, 14663, 14662, 14468, 14487, 9263])).
% 6.26/6.45 tff(14666,plain,
% 6.26/6.45 ((~(mult(mult(a, b), mult(b, mult(c, a))) = mult(a, mult(b, mult(b, mult(c, a)))))) | (~(mult(mult(a, mult(b, mult(c, a))), b) = mult(a, mult(mult(b, mult(c, a)), b))))),
% 6.26/6.45 inference(unit_resolution,[status(thm)],[13720, 14665])).
% 6.26/6.45 tff(14667,plain,
% 6.26/6.45 (~((~(mult(mult(a, b), mult(b, mult(c, a))) = mult(a, mult(mult(b, mult(c, a)), b)))) | (~(mult(mult(a, mult(b, mult(c, a))), b) = mult(a, mult(b, mult(b, mult(c, a)))))))),
% 6.26/6.45 inference(unit_resolution,[status(thm)],[13725, 14666])).
% 6.26/6.45 tff(14668,plain,
% 6.26/6.45 (mult(mult(a, b), mult(b, mult(c, a))) = mult(a, mult(mult(b, mult(c, a)), b))),
% 6.26/6.45 inference(unit_resolution,[status(thm)],[13727, 14667])).
% 6.26/6.45 tff(14669,plain,
% 6.26/6.45 (~(mult(mult(b, mult(mult(a, c), a)), mult(a, b)) = mult(b, mult(mult(mult(a, c), a), mult(a, b))))),
% 6.26/6.45 inference(unit_resolution,[status(thm)],[13762, 14668, 1, 11316, 14471, 6854, 14468, 13275, 1362])).
% 6.26/6.45 tff(14670,plain,
% 6.26/6.45 ((~(mult(mult(b, mult(a, b)), mult(mult(a, c), a)) = mult(b, mult(mult(a, b), mult(mult(a, c), a))))) | (~(mult(mult(b, mult(mult(a, c), a)), mult(a, b)) = mult(b, mult(mult(mult(a, c), a), mult(a, b)))))),
% 6.26/6.45 inference(unit_resolution,[status(thm)],[11520, 14669])).
% 6.26/6.45 tff(14671,plain,
% 6.26/6.45 (~((~(mult(mult(b, mult(a, b)), mult(mult(a, c), a)) = mult(b, mult(mult(mult(a, c), a), mult(a, b))))) | (~(mult(mult(b, mult(mult(a, c), a)), mult(a, b)) = mult(b, mult(mult(a, b), mult(mult(a, c), a))))))),
% 6.26/6.45 inference(unit_resolution,[status(thm)],[11528, 14670])).
% 6.26/6.45 tff(14672,plain,
% 6.26/6.45 (mult(mult(b, mult(mult(a, c), a)), mult(a, b)) = mult(b, mult(mult(a, b), mult(mult(a, c), a)))),
% 6.26/6.45 inference(unit_resolution,[status(thm)],[11530, 14671])).
% 6.26/6.45 tff(14673,plain,
% 6.26/6.45 (mult(b, mult(mult(a, b), mult(mult(a, c), a))) = mult(mult(b, mult(mult(a, c), a)), mult(a, b))),
% 6.26/6.45 inference(symmetry,[status(thm)],[14672])).
% 6.26/6.45 tff(14674,plain,
% 6.26/6.45 (mult(mult(mult(a, b), a), mult(a, c)) = mult(mult(mult(mult(a, b), a), c), a)),
% 6.26/6.45 inference(transitivity,[status(thm)],[13459, 11097])).
% 6.26/6.45 tff(14675,plain,
% 6.26/6.45 (mult(b, mult(mult(mult(a, b), a), mult(a, c))) = mult(b, mult(mult(mult(mult(a, b), a), c), a))),
% 6.26/6.45 inference(monotonicity,[status(thm)],[14674])).
% 6.26/6.45 tff(14676,plain,
% 6.26/6.45 (mult(b, mult(mult(mult(a, b), a), mult(a, c))) = mult(mult(b, mult(c, a)), mult(a, mult(b, a)))),
% 6.26/6.45 inference(transitivity,[status(thm)],[14675, 11581, 14673, 11585, 11390, 4201, 4198, 4196])).
% 6.26/6.45 tff(14677,plain,
% 6.26/6.45 (mult(mult(b, mult(a, c)), mult(mult(a, b), a)) = mult(mult(mult(b, mult(c, a)), a), mult(b, a))),
% 6.26/6.45 inference(transitivity,[status(thm)],[14660, 14659, 12309, 7204, 7203, 13560, 7196, 3535])).
% 6.26/6.45 tff(14678,plain,
% 6.26/6.45 ((mult(mult(b, mult(a, c)), mult(mult(a, b), a)) = mult(b, mult(mult(mult(a, b), a), mult(a, c)))) <=> (mult(mult(mult(b, mult(c, a)), a), mult(b, a)) = mult(mult(b, mult(c, a)), mult(a, mult(b, a))))),
% 6.26/6.45 inference(monotonicity,[status(thm)],[14677, 14676])).
% 6.26/6.45 tff(14679,plain,
% 6.26/6.45 ((mult(mult(mult(b, mult(c, a)), a), mult(b, a)) = mult(mult(b, mult(c, a)), mult(a, mult(b, a)))) <=> (mult(mult(b, mult(a, c)), mult(mult(a, b), a)) = mult(b, mult(mult(mult(a, b), a), mult(a, c))))),
% 6.26/6.45 inference(symmetry,[status(thm)],[14678])).
% 6.26/6.45 tff(14680,plain,
% 6.26/6.45 ((~(mult(mult(mult(b, mult(c, a)), a), mult(b, a)) = mult(mult(b, mult(c, a)), mult(a, mult(b, a))))) <=> (~(mult(mult(b, mult(a, c)), mult(mult(a, b), a)) = mult(b, mult(mult(mult(a, b), a), mult(a, c)))))),
% 6.26/6.45 inference(monotonicity,[status(thm)],[14679])).
% 6.26/6.45 tff(14681,plain,
% 6.26/6.45 (~(mult(mult(b, mult(a, c)), mult(mult(a, b), a)) = mult(b, mult(mult(mult(a, b), a), mult(a, c))))),
% 6.26/6.45 inference(modus_ponens,[status(thm)],[10726, 14680])).
% 6.26/6.45 tff(14682,plain,
% 6.26/6.45 ((~(mult(mult(b, mult(mult(a, b), a)), mult(a, c)) = mult(b, mult(mult(a, c), mult(mult(a, b), a))))) | (~(mult(mult(b, mult(a, c)), mult(mult(a, b), a)) = mult(b, mult(mult(mult(a, b), a), mult(a, c)))))),
% 6.26/6.45 inference(unit_resolution,[status(thm)],[13212, 14681])).
% 6.26/6.45 tff(14683,plain,
% 6.26/6.45 (~((~(mult(mult(b, mult(mult(a, b), a)), mult(a, c)) = mult(b, mult(mult(mult(a, b), a), mult(a, c))))) | (~(mult(mult(b, mult(a, c)), mult(mult(a, b), a)) = mult(b, mult(mult(a, c), mult(mult(a, b), a))))))),
% 6.26/6.45 inference(unit_resolution,[status(thm)],[13217, 14682])).
% 6.26/6.45 tff(14684,plain,
% 6.26/6.45 (((~(mult(mult(b, mult(mult(a, b), a)), mult(a, c)) = mult(b, mult(mult(mult(a, b), a), mult(a, c))))) | (~(mult(mult(b, mult(a, c)), mult(mult(a, b), a)) = mult(b, mult(mult(a, c), mult(mult(a, b), a)))))) | (mult(mult(b, mult(a, c)), mult(mult(a, b), a)) = mult(b, mult(mult(a, c), mult(mult(a, b), a))))),
% 6.26/6.45 inference(tautology,[status(thm)],[])).
% 6.26/6.45 tff(14685,plain,
% 6.26/6.45 (mult(mult(b, mult(a, c)), mult(mult(a, b), a)) = mult(b, mult(mult(a, c), mult(mult(a, b), a)))),
% 6.26/6.45 inference(unit_resolution,[status(thm)],[14684, 14683])).
% 6.26/6.45 tff(14686,plain,
% 6.26/6.45 (mult(b, mult(mult(a, c), mult(mult(a, b), a))) = mult(mult(b, mult(a, c)), mult(mult(a, b), a))),
% 6.26/6.45 inference(symmetry,[status(thm)],[14685])).
% 6.26/6.45 tff(14687,plain,
% 6.26/6.45 (mult(b, mult(a, mult(mult(mult(a, b), a), c))) = mult(b, mult(mult(a, c), mult(mult(a, b), a)))),
% 6.26/6.45 inference(monotonicity,[status(thm)],[14472])).
% 6.26/6.45 tff(14688,plain,
% 6.26/6.45 (mult(a, mult(mult(b, mult(c, a)), a)) = mult(mult(a, mult(b, mult(c, a))), a)),
% 6.26/6.45 inference(symmetry,[status(thm)],[14468])).
% 6.26/6.45 tff(14689,plain,
% 6.26/6.45 (mult(a, mult(mult(b, a), mult(a, c))) = mult(a, mult(mult(mult(a, b), a), c))),
% 6.26/6.45 inference(transitivity,[status(thm)],[13949, 14688, 13951, 11029, 12406, 14471])).
% 6.26/6.45 tff(14690,plain,
% 6.26/6.45 (mult(b, mult(a, mult(mult(b, a), mult(a, c)))) = mult(b, mult(a, mult(mult(mult(a, b), a), c)))),
% 6.26/6.45 inference(monotonicity,[status(thm)],[14689])).
% 6.26/6.45 tff(14691,plain,
% 6.26/6.45 (mult(mult(a, mult(b, mult(c, a))), a) = mult(a, mult(mult(b, a), mult(a, c)))),
% 6.26/6.45 inference(transitivity,[status(thm)],[14468, 13950])).
% 6.26/6.45 tff(14692,plain,
% 6.26/6.45 (mult(b, mult(mult(a, mult(b, mult(c, a))), a)) = mult(b, mult(a, mult(mult(b, a), mult(a, c))))),
% 6.26/6.45 inference(monotonicity,[status(thm)],[14691])).
% 6.26/6.45 tff(14693,plain,
% 6.26/6.45 (mult(mult(mult(b, a), mult(b, mult(c, a))), a) = mult(mult(a, mult(mult(mult(b, c), a), b)), a)),
% 6.26/6.45 inference(transitivity,[status(thm)],[13746, 14692, 14690, 14687, 14686, 14660, 14659, 12309, 7204])).
% 6.26/6.45 tff(14694,plain,
% 6.26/6.45 (rd(mult(mult(mult(b, a), mult(b, mult(c, a))), a), a) = rd(mult(mult(a, mult(mult(mult(b, c), a), b)), a), a)),
% 6.26/6.45 inference(monotonicity,[status(thm)],[14693])).
% 6.26/6.45 tff(14695,plain,
% 6.26/6.45 (mult(b, mult(mult(a, mult(b, mult(c, a))), a)) = mult(mult(mult(b, a), mult(b, mult(c, a))), a)),
% 6.26/6.45 inference(symmetry,[status(thm)],[13746])).
% 6.26/6.45 tff(14696,plain,
% 6.26/6.45 (mult(b, mult(a, mult(mult(b, a), mult(a, c)))) = mult(b, mult(mult(a, mult(b, mult(c, a))), a))),
% 6.26/6.45 inference(symmetry,[status(thm)],[14692])).
% 6.26/6.45 tff(14697,plain,
% 6.26/6.45 (mult(mult(mult(a, c), a), mult(a, b)) = mult(a, mult(mult(b, a), mult(a, c)))),
% 6.26/6.45 inference(transitivity,[status(thm)],[6854, 10827, 11500, 13952, 14468, 13950])).
% 6.26/6.45 tff(14698,plain,
% 6.26/6.45 (mult(b, mult(mult(mult(a, c), a), mult(a, b))) = mult(b, mult(a, mult(mult(b, a), mult(a, c))))),
% 6.26/6.45 inference(monotonicity,[status(thm)],[14697])).
% 6.26/6.45 tff(14699,plain,
% 6.26/6.45 (mult(mult(b, mult(a, b)), mult(mult(a, c), a)) = mult(b, mult(mult(mult(a, c), a), mult(a, b)))),
% 6.26/6.45 inference(unit_resolution,[status(thm)],[11618, 14671])).
% 6.26/6.45 tff(14700,plain,
% 6.26/6.45 ((~![C: $i, B: $i, A: $i] : (mult(mult(mult(A, B), C), B) = mult(A, mult(mult(B, C), B)))) | (mult(mult(mult(mult(mult(b, a), b), a), c), a) = mult(mult(mult(b, a), b), mult(mult(a, c), a)))),
% 6.26/6.45 inference(quant_inst,[status(thm)],[])).
% 6.26/6.45 tff(14701,plain,
% 6.26/6.45 (mult(mult(mult(mult(mult(b, a), b), a), c), a) = mult(mult(mult(b, a), b), mult(mult(a, c), a))),
% 6.26/6.45 inference(unit_resolution,[status(thm)],[14700, 860])).
% 6.26/6.45 tff(14702,plain,
% 6.26/6.45 (mult(mult(mult(mult(b, a), b), a), c) = mult(mult(mult(b, a), mult(b, a)), c)),
% 6.26/6.45 inference(monotonicity,[status(thm)],[11025])).
% 6.26/6.45 tff(14703,plain,
% 6.26/6.45 (mult(mult(mult(b, a), mult(b, a)), c) = mult(mult(mult(mult(b, a), b), a), c)),
% 6.26/6.45 inference(symmetry,[status(thm)],[14702])).
% 6.26/6.45 tff(14704,plain,
% 6.26/6.45 (mult(mult(mult(mult(b, a), mult(b, a)), c), a) = mult(mult(mult(mult(mult(b, a), b), a), c), a)),
% 6.26/6.45 inference(monotonicity,[status(thm)],[14703])).
% 6.26/6.45 tff(14705,plain,
% 6.26/6.45 (mult(mult(mult(mult(b, a), mult(b, a)), c), a) = mult(mult(mult(b, a), mult(b, mult(c, a))), a)),
% 6.26/6.45 inference(transitivity,[status(thm)],[14704, 14701, 11623, 14699, 14698, 14696, 14695])).
% 6.26/6.45 tff(14706,plain,
% 6.26/6.45 (rd(mult(mult(mult(mult(b, a), mult(b, a)), c), a), a) = rd(mult(mult(mult(b, a), mult(b, mult(c, a))), a), a)),
% 6.26/6.45 inference(monotonicity,[status(thm)],[14705])).
% 6.26/6.45 tff(14707,plain,
% 6.26/6.45 ((~![B: $i, A: $i] : (rd(mult(A, B), B) = A)) | (rd(mult(mult(mult(mult(b, a), mult(b, a)), c), a), a) = mult(mult(mult(b, a), mult(b, a)), c))),
% 6.26/6.45 inference(quant_inst,[status(thm)],[])).
% 6.26/6.45 tff(14708,plain,
% 6.26/6.45 (rd(mult(mult(mult(mult(b, a), mult(b, a)), c), a), a) = mult(mult(mult(b, a), mult(b, a)), c)),
% 6.26/6.45 inference(unit_resolution,[status(thm)],[14707, 72])).
% 6.26/6.45 tff(14709,plain,
% 6.26/6.45 (mult(mult(mult(b, a), mult(b, a)), c) = rd(mult(mult(mult(mult(b, a), mult(b, a)), c), a), a)),
% 6.26/6.45 inference(symmetry,[status(thm)],[14708])).
% 6.26/6.45 tff(14710,plain,
% 6.26/6.45 (mult(mult(mult(b, a), mult(b, a)), c) = mult(mult(mult(mult(a, b), c), a), b)),
% 6.26/6.45 inference(transitivity,[status(thm)],[14709, 14706, 14694, 6157, 6141, 6138, 6135])).
% 6.26/6.45 tff(14711,plain,
% 6.26/6.45 (mult(a, mult(mult(mult(b, a), mult(b, a)), c)) = mult(a, mult(mult(mult(mult(a, b), c), a), b))),
% 6.26/6.45 inference(monotonicity,[status(thm)],[14710])).
% 6.26/6.45 tff(14712,plain,
% 6.26/6.45 (rd(mult(mult(mult(b, a), mult(b, mult(c, a))), a), a) = rd(mult(mult(mult(mult(b, a), mult(b, a)), c), a), a)),
% 6.26/6.46 inference(symmetry,[status(thm)],[14706])).
% 6.26/6.46 tff(14713,plain,
% 6.26/6.46 (mult(mult(b, a), mult(b, mult(c, a))) = mult(mult(mult(b, a), mult(b, a)), c)),
% 6.26/6.46 inference(transitivity,[status(thm)],[14272, 14712, 14708])).
% 6.26/6.46 tff(14714,plain,
% 6.26/6.46 (mult(a, mult(mult(b, a), mult(b, mult(c, a)))) = mult(a, mult(mult(mult(b, a), mult(b, a)), c))),
% 6.26/6.46 inference(monotonicity,[status(thm)],[14713])).
% 6.26/6.46 tff(14715,plain,
% 6.26/6.46 (mult(mult(a, b), mult(c, a)) = mult(mult(b, a), mult(a, c))),
% 6.26/6.46 inference(transitivity,[status(thm)],[9223, 11988, 14474, 12181])).
% 6.26/6.46 tff(14716,plain,
% 6.26/6.46 (mult(mult(mult(a, b), mult(c, a)), mult(a, b)) = mult(mult(mult(b, a), mult(a, c)), mult(a, b))),
% 6.26/6.46 inference(monotonicity,[status(thm)],[14715])).
% 6.26/6.46 tff(14717,plain,
% 6.26/6.46 ((mult(mult(b, c), mult(a, mult(mult(a, b), a))) = mult(mult(mult(b, c), a), mult(mult(a, b), a))) <=> (mult(mult(mult(b, c), a), mult(mult(a, b), a)) = mult(mult(b, c), mult(a, mult(mult(a, b), a))))),
% 6.26/6.46 inference(commutativity,[status(thm)],[])).
% 6.26/6.46 tff(14718,plain,
% 6.26/6.46 (mult(mult(a, c), mult(b, a)) = mult(c, mult(mult(a, b), a))),
% 6.26/6.46 inference(transitivity,[status(thm)],[10816, 14583, 12147])).
% 6.26/6.46 tff(14719,plain,
% 6.26/6.46 (mult(mult(mult(a, c), mult(b, a)), a) = mult(mult(c, mult(mult(a, b), a)), a)),
% 6.26/6.46 inference(monotonicity,[status(thm)],[14718])).
% 6.26/6.46 tff(14720,plain,
% 6.26/6.46 (mult(mult(c, mult(mult(a, b), a)), a) = mult(mult(mult(a, c), mult(b, a)), a)),
% 6.26/6.46 inference(symmetry,[status(thm)],[14719])).
% 6.26/6.46 tff(14721,plain,
% 6.26/6.46 (mult(c, mult(a, mult(mult(a, b), a))) = mult(a, mult(mult(b, a), mult(a, c)))),
% 6.26/6.46 inference(transitivity,[status(thm)],[14131, 9355, 9354, 9304, 14720, 13952, 14468, 13950])).
% 6.26/6.46 tff(14722,plain,
% 6.26/6.46 (mult(b, mult(c, mult(a, mult(mult(a, b), a)))) = mult(b, mult(a, mult(mult(b, a), mult(a, c))))),
% 6.26/6.46 inference(monotonicity,[status(thm)],[14721])).
% 6.26/6.46 tff(14723,plain,
% 6.26/6.46 (mult(b, mult(c, mult(a, mult(mult(a, b), a)))) = mult(mult(mult(b, c), a), mult(mult(a, b), a))),
% 6.26/6.46 inference(transitivity,[status(thm)],[14722, 14690, 14687, 14686, 14660])).
% 6.26/6.46 tff(14724,plain,
% 6.26/6.46 ((mult(mult(b, c), mult(a, mult(mult(a, b), a))) = mult(b, mult(c, mult(a, mult(mult(a, b), a))))) <=> (mult(mult(b, c), mult(a, mult(mult(a, b), a))) = mult(mult(mult(b, c), a), mult(mult(a, b), a)))),
% 6.26/6.46 inference(monotonicity,[status(thm)],[14723])).
% 6.26/6.46 tff(14725,plain,
% 6.26/6.46 ((mult(mult(b, c), mult(a, mult(mult(a, b), a))) = mult(b, mult(c, mult(a, mult(mult(a, b), a))))) <=> (mult(mult(mult(b, c), a), mult(mult(a, b), a)) = mult(mult(b, c), mult(a, mult(mult(a, b), a))))),
% 6.26/6.46 inference(transitivity,[status(thm)],[14724, 14717])).
% 6.26/6.46 tff(14726,plain,
% 6.26/6.46 ((mult(mult(mult(b, c), a), mult(mult(a, b), a)) = mult(mult(b, c), mult(a, mult(mult(a, b), a)))) <=> (mult(mult(b, c), mult(a, mult(mult(a, b), a))) = mult(b, mult(c, mult(a, mult(mult(a, b), a)))))),
% 6.26/6.46 inference(symmetry,[status(thm)],[14725])).
% 6.26/6.46 tff(14727,plain,
% 6.26/6.46 (mult(mult(b, c), a) = mult(a, mult(b, c))),
% 6.26/6.46 inference(transitivity,[status(thm)],[5314, 14657, 114, 8959])).
% 6.26/6.46 tff(14728,plain,
% 6.26/6.46 (mult(mult(mult(b, c), a), mult(a, b)) = mult(mult(a, mult(b, c)), mult(a, b))),
% 6.26/6.46 inference(monotonicity,[status(thm)],[14727])).
% 6.26/6.46 tff(14729,plain,
% 6.26/6.46 (mult(mult(mult(b, c), a), mult(a, b)) = mult(mult(mult(b, a), mult(a, c)), b)),
% 6.26/6.46 inference(transitivity,[status(thm)],[14728, 14632, 14629, 14482])).
% 6.26/6.46 tff(14730,plain,
% 6.26/6.46 (mult(mult(mult(mult(b, c), a), mult(a, b)), a) = mult(mult(mult(mult(b, a), mult(a, c)), b), a)),
% 6.26/6.46 inference(monotonicity,[status(thm)],[14729])).
% 6.26/6.46 tff(14731,plain,
% 6.26/6.46 (mult(mult(b, c), mult(a, mult(mult(a, b), a))) = mult(mult(b, c), mult(mult(a, mult(a, b)), a))),
% 6.26/6.46 inference(monotonicity,[status(thm)],[14005])).
% 6.26/6.46 tff(14732,plain,
% 6.26/6.46 (mult(mult(b, c), mult(a, mult(mult(a, b), a))) = mult(mult(b, mult(c, a)), mult(a, mult(b, a)))),
% 6.26/6.46 inference(transitivity,[status(thm)],[14731, 7685, 14730, 4201, 4198, 4196])).
% 6.26/6.46 tff(14733,plain,
% 6.26/6.46 (mult(mult(mult(b, c), a), mult(mult(a, b), a)) = mult(mult(mult(b, mult(c, a)), a), mult(b, a))),
% 6.26/6.46 inference(transitivity,[status(thm)],[14659, 12309, 7204, 7203, 13560, 7196, 3535])).
% 6.26/6.46 tff(14734,plain,
% 6.26/6.46 ((mult(mult(mult(b, c), a), mult(mult(a, b), a)) = mult(mult(b, c), mult(a, mult(mult(a, b), a)))) <=> (mult(mult(mult(b, mult(c, a)), a), mult(b, a)) = mult(mult(b, mult(c, a)), mult(a, mult(b, a))))),
% 6.26/6.46 inference(monotonicity,[status(thm)],[14733, 14732])).
% 6.26/6.46 tff(14735,plain,
% 6.26/6.46 ((mult(mult(mult(b, mult(c, a)), a), mult(b, a)) = mult(mult(b, mult(c, a)), mult(a, mult(b, a)))) <=> (mult(mult(mult(b, c), a), mult(mult(a, b), a)) = mult(mult(b, c), mult(a, mult(mult(a, b), a))))),
% 6.26/6.46 inference(symmetry,[status(thm)],[14734])).
% 6.26/6.46 tff(14736,plain,
% 6.26/6.46 ((mult(mult(mult(b, mult(c, a)), a), mult(b, a)) = mult(mult(b, mult(c, a)), mult(a, mult(b, a)))) <=> (mult(mult(b, c), mult(a, mult(mult(a, b), a))) = mult(b, mult(c, mult(a, mult(mult(a, b), a)))))),
% 6.26/6.46 inference(transitivity,[status(thm)],[14735, 14726])).
% 6.26/6.46 tff(14737,plain,
% 6.26/6.46 ((~(mult(mult(mult(b, mult(c, a)), a), mult(b, a)) = mult(mult(b, mult(c, a)), mult(a, mult(b, a))))) <=> (~(mult(mult(b, c), mult(a, mult(mult(a, b), a))) = mult(b, mult(c, mult(a, mult(mult(a, b), a))))))),
% 6.26/6.46 inference(monotonicity,[status(thm)],[14736])).
% 6.26/6.46 tff(14738,plain,
% 6.26/6.46 (~(mult(mult(b, c), mult(a, mult(mult(a, b), a))) = mult(b, mult(c, mult(a, mult(mult(a, b), a)))))),
% 6.26/6.46 inference(modus_ponens,[status(thm)],[10726, 14737])).
% 6.26/6.46 tff(14739,plain,
% 6.26/6.46 (((~(mult(mult(b, c), mult(a, mult(mult(a, b), a))) = mult(b, mult(c, mult(a, mult(mult(a, b), a)))))) | (~(mult(mult(b, mult(a, mult(mult(a, b), a))), c) = mult(b, mult(mult(a, mult(mult(a, b), a)), c))))) | (mult(mult(b, c), mult(a, mult(mult(a, b), a))) = mult(b, mult(c, mult(a, mult(mult(a, b), a)))))),
% 6.26/6.46 inference(tautology,[status(thm)],[])).
% 6.26/6.46 tff(14740,plain,
% 6.26/6.46 ((~(mult(mult(b, c), mult(a, mult(mult(a, b), a))) = mult(b, mult(c, mult(a, mult(mult(a, b), a)))))) | (~(mult(mult(b, mult(a, mult(mult(a, b), a))), c) = mult(b, mult(mult(a, mult(mult(a, b), a)), c))))),
% 6.26/6.46 inference(unit_resolution,[status(thm)],[14739, 14738])).
% 6.26/6.46 tff(14741,plain,
% 6.26/6.46 (~((~(mult(mult(b, c), mult(a, mult(mult(a, b), a))) = mult(b, mult(mult(a, mult(mult(a, b), a)), c)))) | (~(mult(mult(b, mult(a, mult(mult(a, b), a))), c) = mult(b, mult(c, mult(a, mult(mult(a, b), a)))))))),
% 6.26/6.46 inference(unit_resolution,[status(thm)],[14126, 14740])).
% 6.26/6.46 tff(14742,plain,
% 6.26/6.46 (mult(mult(b, mult(a, mult(mult(a, b), a))), c) = mult(b, mult(c, mult(a, mult(mult(a, b), a))))),
% 6.26/6.46 inference(unit_resolution,[status(thm)],[14128, 14741])).
% 6.26/6.46 tff(14743,plain,
% 6.26/6.46 (mult(mult(b, a), mult(mult(b, a), mult(a, c))) = mult(mult(b, a), mult(mult(mult(a, b), a), c))),
% 6.26/6.46 inference(monotonicity,[status(thm)],[14476])).
% 6.26/6.46 tff(14744,plain,
% 6.26/6.46 (mult(mult(b, a), mult(mult(mult(a, b), a), c)) = mult(mult(b, a), mult(mult(b, a), mult(a, c)))),
% 6.26/6.46 inference(symmetry,[status(thm)],[14743])).
% 6.26/6.46 tff(14745,plain,
% 6.26/6.46 (mult(b, mult(mult(a, mult(a, b)), a)) = mult(b, mult(a, mult(mult(a, b), a)))),
% 6.26/6.46 inference(symmetry,[status(thm)],[14006])).
% 6.26/6.46 tff(14746,plain,
% 6.26/6.46 (mult(mult(mult(b, mult(a, a)), b), a) = mult(mult(mult(b, a), mult(a, b)), a)),
% 6.26/6.46 inference(symmetry,[status(thm)],[14000])).
% 6.26/6.46 tff(14747,plain,
% 6.26/6.46 (mult(mult(mult(mult(b, a), a), b), a) = mult(mult(mult(b, mult(a, a)), b), a)),
% 6.26/6.46 inference(symmetry,[status(thm)],[13997])).
% 6.26/6.46 tff(14748,plain,
% 6.26/6.46 (mult(mult(b, a), mult(mult(a, b), a)) = mult(b, mult(a, mult(mult(a, b), a)))),
% 6.26/6.46 inference(transitivity,[status(thm)],[9977, 14747, 14746, 14002, 14745])).
% 6.26/6.46 tff(14749,plain,
% 6.26/6.46 (mult(mult(mult(b, a), mult(mult(a, b), a)), c) = mult(mult(b, mult(a, mult(mult(a, b), a))), c)),
% 6.26/6.46 inference(monotonicity,[status(thm)],[14748])).
% 6.26/6.46 tff(14750,plain,
% 6.26/6.46 (mult(mult(mult(b, a), mult(mult(a, b), a)), c) = mult(mult(mult(b, a), mult(a, c)), mult(b, a))),
% 6.26/6.46 inference(transitivity,[status(thm)],[14749, 14742, 14722, 14690, 14687, 14686, 14660, 14659, 12309, 7204, 7203, 13560, 7196])).
% 6.26/6.46 tff(14751,plain,
% 6.26/6.46 ((mult(mult(mult(b, a), mult(mult(a, b), a)), c) = mult(mult(b, a), mult(mult(mult(a, b), a), c))) <=> (mult(mult(mult(b, a), mult(a, c)), mult(b, a)) = mult(mult(b, a), mult(mult(b, a), mult(a, c))))),
% 6.26/6.46 inference(monotonicity,[status(thm)],[14750, 14744])).
% 6.26/6.46 tff(14752,plain,
% 6.26/6.46 ((mult(mult(mult(b, a), mult(a, c)), mult(b, a)) = mult(mult(b, a), mult(mult(b, a), mult(a, c)))) <=> (mult(mult(mult(b, a), mult(mult(a, b), a)), c) = mult(mult(b, a), mult(mult(mult(a, b), a), c)))),
% 6.26/6.46 inference(symmetry,[status(thm)],[14751])).
% 6.26/6.46 tff(14753,plain,
% 6.26/6.46 (mult(mult(mult(b, a), mult(mult(a, b), a)), c) = mult(mult(b, a), mult(mult(mult(a, b), a), c))),
% 6.26/6.46 inference(modus_ponens,[status(thm)],[8734, 14752])).
% 6.26/6.46 tff(14754,plain,
% 6.26/6.46 ((~![B: $i, A: $i] : (rd(mult(A, B), B) = A)) | (rd(mult(mult(b, a), mult(mult(b, a), mult(a, c))), mult(mult(b, a), mult(a, c))) = mult(b, a))),
% 6.26/6.46 inference(quant_inst,[status(thm)],[])).
% 6.26/6.46 tff(14755,plain,
% 6.26/6.46 (rd(mult(mult(b, a), mult(mult(b, a), mult(a, c))), mult(mult(b, a), mult(a, c))) = mult(b, a)),
% 6.26/6.46 inference(unit_resolution,[status(thm)],[14754, 72])).
% 6.26/6.46 tff(14756,plain,
% 6.26/6.46 (ld(a, mult(a, mult(mult(b, a), mult(a, c)))) = ld(a, mult(a, mult(mult(mult(a, b), a), c)))),
% 6.26/6.46 inference(symmetry,[status(thm)],[13843])).
% 6.26/6.46 tff(14757,plain,
% 6.26/6.46 (mult(mult(b, a), mult(a, c)) = mult(mult(mult(a, b), a), c)),
% 6.26/6.46 inference(transitivity,[status(thm)],[12189, 14756, 11987])).
% 6.26/6.46 tff(14758,plain,
% 6.26/6.46 (mult(mult(a, b), mult(mult(b, a), mult(a, c))) = mult(mult(a, b), mult(mult(mult(a, b), a), c))),
% 6.26/6.46 inference(monotonicity,[status(thm)],[14757])).
% 6.26/6.46 tff(14759,plain,
% 6.26/6.46 (mult(mult(a, b), mult(mult(mult(a, b), a), c)) = mult(mult(a, b), mult(mult(b, a), mult(a, c)))),
% 6.26/6.46 inference(symmetry,[status(thm)],[14758])).
% 6.26/6.46 tff(14760,assumption,(~(mult(mult(mult(a, b), c), mult(mult(a, b), a)) = mult(mult(a, b), mult(c, mult(mult(a, b), a))))), introduced(assumption)).
% 6.26/6.46 tff(14761,plain,
% 6.26/6.46 (((~(mult(mult(mult(a, b), c), mult(mult(a, b), a)) = mult(mult(a, b), mult(c, mult(mult(a, b), a))))) | (~(mult(mult(mult(a, b), mult(mult(a, b), a)), c) = mult(mult(a, b), mult(mult(mult(a, b), a), c))))) | (mult(mult(mult(a, b), c), mult(mult(a, b), a)) = mult(mult(a, b), mult(c, mult(mult(a, b), a))))),
% 6.26/6.46 inference(tautology,[status(thm)],[])).
% 6.26/6.46 tff(14762,plain,
% 6.26/6.46 ((~(mult(mult(mult(a, b), c), mult(mult(a, b), a)) = mult(mult(a, b), mult(c, mult(mult(a, b), a))))) | (~(mult(mult(mult(a, b), mult(mult(a, b), a)), c) = mult(mult(a, b), mult(mult(mult(a, b), a), c))))),
% 6.26/6.46 inference(unit_resolution,[status(thm)],[14761, 14760])).
% 6.26/6.46 tff(14763,plain,
% 6.26/6.46 (((~![X0: $i, X1: $i, X2: $i] : ((~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X2, X1)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X1, X2)))))) | (~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X1, X2)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X2, X1)))))))) | ((~((~(mult(mult(mult(a, b), c), mult(mult(a, b), a)) = mult(mult(a, b), mult(mult(mult(a, b), a), c)))) | (~(mult(mult(mult(a, b), mult(mult(a, b), a)), c) = mult(mult(a, b), mult(c, mult(mult(a, b), a))))))) | (~((~(mult(mult(mult(a, b), c), mult(mult(a, b), a)) = mult(mult(a, b), mult(c, mult(mult(a, b), a))))) | (~(mult(mult(mult(a, b), mult(mult(a, b), a)), c) = mult(mult(a, b), mult(mult(mult(a, b), a), c)))))))) <=> ((~![X0: $i, X1: $i, X2: $i] : ((~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X2, X1)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X1, X2)))))) | (~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X1, X2)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X2, X1)))))))) | (~((~(mult(mult(mult(a, b), c), mult(mult(a, b), a)) = mult(mult(a, b), mult(mult(mult(a, b), a), c)))) | (~(mult(mult(mult(a, b), mult(mult(a, b), a)), c) = mult(mult(a, b), mult(c, mult(mult(a, b), a))))))) | (~((~(mult(mult(mult(a, b), c), mult(mult(a, b), a)) = mult(mult(a, b), mult(c, mult(mult(a, b), a))))) | (~(mult(mult(mult(a, b), mult(mult(a, b), a)), c) = mult(mult(a, b), mult(mult(mult(a, b), a), c)))))))),
% 6.26/6.46 inference(rewrite,[status(thm)],[])).
% 6.26/6.46 tff(14764,plain,
% 6.26/6.46 (((~((~(mult(mult(mult(a, b), c), mult(mult(a, b), a)) = mult(mult(a, b), mult(mult(mult(a, b), a), c)))) | (~(mult(mult(mult(a, b), mult(mult(a, b), a)), c) = mult(mult(a, b), mult(c, mult(mult(a, b), a))))))) | (~((~(mult(mult(mult(a, b), c), mult(mult(a, b), a)) = mult(mult(a, b), mult(c, mult(mult(a, b), a))))) | (~(mult(mult(mult(a, b), mult(mult(a, b), a)), c) = mult(mult(a, b), mult(mult(mult(a, b), a), c))))))) <=> ((~((~(mult(mult(mult(a, b), c), mult(mult(a, b), a)) = mult(mult(a, b), mult(mult(mult(a, b), a), c)))) | (~(mult(mult(mult(a, b), mult(mult(a, b), a)), c) = mult(mult(a, b), mult(c, mult(mult(a, b), a))))))) | (~((~(mult(mult(mult(a, b), c), mult(mult(a, b), a)) = mult(mult(a, b), mult(c, mult(mult(a, b), a))))) | (~(mult(mult(mult(a, b), mult(mult(a, b), a)), c) = mult(mult(a, b), mult(mult(mult(a, b), a), c)))))))),
% 6.26/6.46 inference(rewrite,[status(thm)],[])).
% 6.26/6.46 tff(14765,plain,
% 6.26/6.46 ((~((~(mult(mult(mult(a, b), mult(mult(a, b), a)), c) = mult(mult(a, b), mult(mult(mult(a, b), a), c)))) | (~(mult(mult(mult(a, b), c), mult(mult(a, b), a)) = mult(mult(a, b), mult(c, mult(mult(a, b), a))))))) <=> (~((~(mult(mult(mult(a, b), c), mult(mult(a, b), a)) = mult(mult(a, b), mult(c, mult(mult(a, b), a))))) | (~(mult(mult(mult(a, b), mult(mult(a, b), a)), c) = mult(mult(a, b), mult(mult(mult(a, b), a), c))))))),
% 6.26/6.46 inference(rewrite,[status(thm)],[])).
% 6.26/6.46 tff(14766,plain,
% 6.26/6.46 ((~((~(mult(mult(mult(a, b), mult(mult(a, b), a)), c) = mult(mult(a, b), mult(c, mult(mult(a, b), a))))) | (~(mult(mult(mult(a, b), c), mult(mult(a, b), a)) = mult(mult(a, b), mult(mult(mult(a, b), a), c)))))) <=> (~((~(mult(mult(mult(a, b), c), mult(mult(a, b), a)) = mult(mult(a, b), mult(mult(mult(a, b), a), c)))) | (~(mult(mult(mult(a, b), mult(mult(a, b), a)), c) = mult(mult(a, b), mult(c, mult(mult(a, b), a)))))))),
% 6.26/6.46 inference(rewrite,[status(thm)],[])).
% 6.26/6.46 tff(14767,plain,
% 6.26/6.46 (((~((~(mult(mult(mult(a, b), mult(mult(a, b), a)), c) = mult(mult(a, b), mult(c, mult(mult(a, b), a))))) | (~(mult(mult(mult(a, b), c), mult(mult(a, b), a)) = mult(mult(a, b), mult(mult(mult(a, b), a), c)))))) | (~((~(mult(mult(mult(a, b), mult(mult(a, b), a)), c) = mult(mult(a, b), mult(mult(mult(a, b), a), c)))) | (~(mult(mult(mult(a, b), c), mult(mult(a, b), a)) = mult(mult(a, b), mult(c, mult(mult(a, b), a)))))))) <=> ((~((~(mult(mult(mult(a, b), c), mult(mult(a, b), a)) = mult(mult(a, b), mult(mult(mult(a, b), a), c)))) | (~(mult(mult(mult(a, b), mult(mult(a, b), a)), c) = mult(mult(a, b), mult(c, mult(mult(a, b), a))))))) | (~((~(mult(mult(mult(a, b), c), mult(mult(a, b), a)) = mult(mult(a, b), mult(c, mult(mult(a, b), a))))) | (~(mult(mult(mult(a, b), mult(mult(a, b), a)), c) = mult(mult(a, b), mult(mult(mult(a, b), a), c)))))))),
% 6.26/6.46 inference(monotonicity,[status(thm)],[14766, 14765])).
% 6.26/6.46 tff(14768,plain,
% 6.26/6.46 (((~((~(mult(mult(mult(a, b), mult(mult(a, b), a)), c) = mult(mult(a, b), mult(c, mult(mult(a, b), a))))) | (~(mult(mult(mult(a, b), c), mult(mult(a, b), a)) = mult(mult(a, b), mult(mult(mult(a, b), a), c)))))) | (~((~(mult(mult(mult(a, b), mult(mult(a, b), a)), c) = mult(mult(a, b), mult(mult(mult(a, b), a), c)))) | (~(mult(mult(mult(a, b), c), mult(mult(a, b), a)) = mult(mult(a, b), mult(c, mult(mult(a, b), a)))))))) <=> ((~((~(mult(mult(mult(a, b), c), mult(mult(a, b), a)) = mult(mult(a, b), mult(mult(mult(a, b), a), c)))) | (~(mult(mult(mult(a, b), mult(mult(a, b), a)), c) = mult(mult(a, b), mult(c, mult(mult(a, b), a))))))) | (~((~(mult(mult(mult(a, b), c), mult(mult(a, b), a)) = mult(mult(a, b), mult(c, mult(mult(a, b), a))))) | (~(mult(mult(mult(a, b), mult(mult(a, b), a)), c) = mult(mult(a, b), mult(mult(mult(a, b), a), c)))))))),
% 6.26/6.46 inference(transitivity,[status(thm)],[14767, 14764])).
% 6.26/6.46 tff(14769,plain,
% 6.26/6.46 (((~![X0: $i, X1: $i, X2: $i] : ((~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X2, X1)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X1, X2)))))) | (~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X1, X2)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X2, X1)))))))) | ((~((~(mult(mult(mult(a, b), mult(mult(a, b), a)), c) = mult(mult(a, b), mult(c, mult(mult(a, b), a))))) | (~(mult(mult(mult(a, b), c), mult(mult(a, b), a)) = mult(mult(a, b), mult(mult(mult(a, b), a), c)))))) | (~((~(mult(mult(mult(a, b), mult(mult(a, b), a)), c) = mult(mult(a, b), mult(mult(mult(a, b), a), c)))) | (~(mult(mult(mult(a, b), c), mult(mult(a, b), a)) = mult(mult(a, b), mult(c, mult(mult(a, b), a))))))))) <=> ((~![X0: $i, X1: $i, X2: $i] : ((~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X2, X1)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X1, X2)))))) | (~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X1, X2)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X2, X1)))))))) | ((~((~(mult(mult(mult(a, b), c), mult(mult(a, b), a)) = mult(mult(a, b), mult(mult(mult(a, b), a), c)))) | (~(mult(mult(mult(a, b), mult(mult(a, b), a)), c) = mult(mult(a, b), mult(c, mult(mult(a, b), a))))))) | (~((~(mult(mult(mult(a, b), c), mult(mult(a, b), a)) = mult(mult(a, b), mult(c, mult(mult(a, b), a))))) | (~(mult(mult(mult(a, b), mult(mult(a, b), a)), c) = mult(mult(a, b), mult(mult(mult(a, b), a), c))))))))),
% 6.26/6.47 inference(monotonicity,[status(thm)],[14768])).
% 6.26/6.47 tff(14770,plain,
% 6.26/6.47 (((~![X0: $i, X1: $i, X2: $i] : ((~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X2, X1)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X1, X2)))))) | (~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X1, X2)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X2, X1)))))))) | ((~((~(mult(mult(mult(a, b), mult(mult(a, b), a)), c) = mult(mult(a, b), mult(c, mult(mult(a, b), a))))) | (~(mult(mult(mult(a, b), c), mult(mult(a, b), a)) = mult(mult(a, b), mult(mult(mult(a, b), a), c)))))) | (~((~(mult(mult(mult(a, b), mult(mult(a, b), a)), c) = mult(mult(a, b), mult(mult(mult(a, b), a), c)))) | (~(mult(mult(mult(a, b), c), mult(mult(a, b), a)) = mult(mult(a, b), mult(c, mult(mult(a, b), a))))))))) <=> ((~![X0: $i, X1: $i, X2: $i] : ((~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X2, X1)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X1, X2)))))) | (~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X1, X2)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X2, X1)))))))) | (~((~(mult(mult(mult(a, b), c), mult(mult(a, b), a)) = mult(mult(a, b), mult(mult(mult(a, b), a), c)))) | (~(mult(mult(mult(a, b), mult(mult(a, b), a)), c) = mult(mult(a, b), mult(c, mult(mult(a, b), a))))))) | (~((~(mult(mult(mult(a, b), c), mult(mult(a, b), a)) = mult(mult(a, b), mult(c, mult(mult(a, b), a))))) | (~(mult(mult(mult(a, b), mult(mult(a, b), a)), c) = mult(mult(a, b), mult(mult(mult(a, b), a), c)))))))),
% 6.26/6.47 inference(transitivity,[status(thm)],[14769, 14763])).
% 6.26/6.47 tff(14771,plain,
% 6.26/6.47 ((~![X0: $i, X1: $i, X2: $i] : ((~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X2, X1)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X1, X2)))))) | (~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X1, X2)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X2, X1)))))))) | ((~((~(mult(mult(mult(a, b), mult(mult(a, b), a)), c) = mult(mult(a, b), mult(c, mult(mult(a, b), a))))) | (~(mult(mult(mult(a, b), c), mult(mult(a, b), a)) = mult(mult(a, b), mult(mult(mult(a, b), a), c)))))) | (~((~(mult(mult(mult(a, b), mult(mult(a, b), a)), c) = mult(mult(a, b), mult(mult(mult(a, b), a), c)))) | (~(mult(mult(mult(a, b), c), mult(mult(a, b), a)) = mult(mult(a, b), mult(c, mult(mult(a, b), a))))))))),
% 6.26/6.47 inference(quant_inst,[status(thm)],[])).
% 6.26/6.47 tff(14772,plain,
% 6.26/6.47 ((~![X0: $i, X1: $i, X2: $i] : ((~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X2, X1)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X1, X2)))))) | (~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X1, X2)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X2, X1)))))))) | (~((~(mult(mult(mult(a, b), c), mult(mult(a, b), a)) = mult(mult(a, b), mult(mult(mult(a, b), a), c)))) | (~(mult(mult(mult(a, b), mult(mult(a, b), a)), c) = mult(mult(a, b), mult(c, mult(mult(a, b), a))))))) | (~((~(mult(mult(mult(a, b), c), mult(mult(a, b), a)) = mult(mult(a, b), mult(c, mult(mult(a, b), a))))) | (~(mult(mult(mult(a, b), mult(mult(a, b), a)), c) = mult(mult(a, b), mult(mult(mult(a, b), a), c))))))),
% 6.26/6.47 inference(modus_ponens,[status(thm)],[14771, 14770])).
% 6.26/6.47 tff(14773,plain,
% 6.26/6.47 ((~((~(mult(mult(mult(a, b), c), mult(mult(a, b), a)) = mult(mult(a, b), mult(mult(mult(a, b), a), c)))) | (~(mult(mult(mult(a, b), mult(mult(a, b), a)), c) = mult(mult(a, b), mult(c, mult(mult(a, b), a))))))) | (~((~(mult(mult(mult(a, b), c), mult(mult(a, b), a)) = mult(mult(a, b), mult(c, mult(mult(a, b), a))))) | (~(mult(mult(mult(a, b), mult(mult(a, b), a)), c) = mult(mult(a, b), mult(mult(mult(a, b), a), c))))))),
% 6.26/6.47 inference(unit_resolution,[status(thm)],[14772, 30])).
% 6.26/6.47 tff(14774,plain,
% 6.26/6.47 (~((~(mult(mult(mult(a, b), c), mult(mult(a, b), a)) = mult(mult(a, b), mult(mult(mult(a, b), a), c)))) | (~(mult(mult(mult(a, b), mult(mult(a, b), a)), c) = mult(mult(a, b), mult(c, mult(mult(a, b), a))))))),
% 6.26/6.47 inference(unit_resolution,[status(thm)],[14773, 14762])).
% 6.26/6.47 tff(14775,plain,
% 6.26/6.47 (((~(mult(mult(mult(a, b), c), mult(mult(a, b), a)) = mult(mult(a, b), mult(mult(mult(a, b), a), c)))) | (~(mult(mult(mult(a, b), mult(mult(a, b), a)), c) = mult(mult(a, b), mult(c, mult(mult(a, b), a)))))) | (mult(mult(mult(a, b), c), mult(mult(a, b), a)) = mult(mult(a, b), mult(mult(mult(a, b), a), c)))),
% 6.26/6.47 inference(tautology,[status(thm)],[])).
% 6.26/6.47 tff(14776,plain,
% 6.26/6.47 (mult(mult(mult(a, b), c), mult(mult(a, b), a)) = mult(mult(a, b), mult(mult(mult(a, b), a), c))),
% 6.26/6.47 inference(unit_resolution,[status(thm)],[14775, 14774])).
% 6.26/6.47 tff(14777,plain,
% 6.26/6.47 (mult(mult(mult(b, a), mult(a, c)), a) = mult(mult(mult(mult(a, b), a), c), a)),
% 6.26/6.47 inference(monotonicity,[status(thm)],[14757])).
% 6.26/6.47 tff(14778,plain,
% 6.26/6.47 (mult(mult(mult(mult(a, b), a), c), a) = mult(mult(mult(b, a), mult(a, c)), a)),
% 6.26/6.47 inference(symmetry,[status(thm)],[14777])).
% 6.26/6.47 tff(14779,plain,
% 6.26/6.47 (mult(mult(a, b), mult(mult(a, c), a)) = mult(mult(mult(b, a), mult(a, c)), a)),
% 6.26/6.47 inference(transitivity,[status(thm)],[11097, 14778])).
% 6.26/6.47 tff(14780,plain,
% 6.26/6.47 (mult(mult(mult(a, b), mult(mult(a, c), a)), b) = mult(mult(mult(mult(b, a), mult(a, c)), a), b)),
% 6.26/6.47 inference(monotonicity,[status(thm)],[14779])).
% 6.26/6.47 tff(14781,plain,
% 6.26/6.47 (mult(a, mult(c, mult(mult(a, b), a))) = mult(mult(a, mult(mult(a, b), a)), c)),
% 6.26/6.47 inference(symmetry,[status(thm)],[13299])).
% 6.26/6.47 tff(14782,plain,
% 6.26/6.47 (mult(a, mult(c, mult(mult(a, b), a))) = mult(a, mult(mult(a, c), mult(b, a)))),
% 6.26/6.47 inference(transitivity,[status(thm)],[14781, 11958, 13816, 13492, 13692, 13819])).
% 6.26/6.47 tff(14783,plain,
% 6.26/6.47 (ld(a, mult(a, mult(c, mult(mult(a, b), a)))) = ld(a, mult(a, mult(mult(a, c), mult(b, a))))),
% 6.26/6.47 inference(monotonicity,[status(thm)],[14782])).
% 6.26/6.47 tff(14784,plain,
% 6.26/6.47 (mult(mult(mult(c, a), b), a) = mult(mult(a, c), mult(b, a))),
% 6.26/6.47 inference(transitivity,[status(thm)],[2807, 13624, 14783, 10815])).
% 6.26/6.47 tff(14785,plain,
% 6.26/6.47 (mult(mult(mult(mult(c, a), b), a), c) = mult(mult(mult(a, c), mult(b, a)), c)),
% 6.26/6.47 inference(monotonicity,[status(thm)],[14784])).
% 6.26/6.47 tff(14786,plain,
% 6.26/6.47 (mult(mult(mult(mult(mult(c, a), b), a), c), a) = mult(mult(mult(mult(a, c), mult(b, a)), c), a)),
% 6.26/6.47 inference(monotonicity,[status(thm)],[14785])).
% 6.26/6.47 tff(14787,plain,
% 6.26/6.47 (mult(mult(mult(c, a), b), mult(mult(a, c), a)) = mult(mult(mult(a, c), mult(b, a)), mult(a, c))),
% 6.26/6.47 inference(transitivity,[status(thm)],[14590, 14786, 11677])).
% 6.26/6.47 tff(14788,plain,
% 6.26/6.47 (mult(mult(mult(mult(c, a), b), mult(mult(a, c), a)), b) = mult(mult(mult(mult(a, c), mult(b, a)), mult(a, c)), b)),
% 6.26/6.47 inference(monotonicity,[status(thm)],[14787])).
% 6.26/6.47 tff(14789,plain,
% 6.26/6.47 (mult(mult(mult(mult(a, c), mult(b, a)), mult(a, c)), b) = mult(mult(mult(mult(c, a), b), mult(mult(a, c), a)), b)),
% 6.26/6.47 inference(symmetry,[status(thm)],[14788])).
% 6.26/6.47 tff(14790,assumption,(mult(mult(mult(mult(mult(a, c), mult(b, a)), c), mult(a, b)), a) = mult(mult(mult(mult(a, c), mult(b, a)), c), mult(mult(a, b), a))), introduced(assumption)).
% 6.26/6.47 tff(14791,plain,
% 6.26/6.47 (mult(mult(mult(mult(mult(a, c), mult(b, a)), c), mult(a, b)), a) = mult(mult(mult(mult(mult(a, c), mult(b, a)), mult(a, c)), b), a)),
% 6.26/6.47 inference(transitivity,[status(thm)],[14790, 11682, 11679])).
% 6.26/6.47 tff(14792,plain,
% 6.26/6.47 (rd(mult(mult(mult(mult(mult(a, c), mult(b, a)), c), mult(a, b)), a), a) = rd(mult(mult(mult(mult(mult(a, c), mult(b, a)), mult(a, c)), b), a), a)),
% 6.26/6.47 inference(monotonicity,[status(thm)],[14791])).
% 6.26/6.47 tff(14793,plain,
% 6.26/6.47 (mult(mult(c, a), mult(a, b)) = mult(mult(a, c), mult(b, a))),
% 6.26/6.47 inference(transitivity,[status(thm)],[9263, 13624, 14783, 10815])).
% 6.26/6.47 tff(14794,plain,
% 6.26/6.47 (mult(mult(mult(c, a), mult(a, b)), c) = mult(mult(mult(a, c), mult(b, a)), c)),
% 6.26/6.47 inference(monotonicity,[status(thm)],[14793])).
% 6.26/6.47 tff(14795,plain,
% 6.26/6.47 (mult(mult(mult(mult(c, a), mult(a, b)), c), mult(a, b)) = mult(mult(mult(mult(a, c), mult(b, a)), c), mult(a, b))),
% 6.26/6.47 inference(monotonicity,[status(thm)],[14794])).
% 6.26/6.47 tff(14796,plain,
% 6.26/6.47 (mult(mult(c, a), mult(mult(a, mult(b, c)), mult(a, b))) = mult(mult(c, a), mult(mult(mult(b, a), mult(a, c)), b))),
% 6.26/6.47 inference(transitivity,[status(thm)],[14627, 14624, 14795, 14618, 14792, 13377, 14789, 14486, 14484])).
% 6.26/6.47 tff(14797,plain,
% 6.26/6.47 (ld(mult(c, a), mult(mult(c, a), mult(mult(a, mult(b, c)), mult(a, b)))) = ld(mult(c, a), mult(mult(c, a), mult(mult(mult(b, a), mult(a, c)), b)))),
% 6.26/6.47 inference(monotonicity,[status(thm)],[14796])).
% 6.26/6.47 tff(14798,plain,
% 6.26/6.47 (mult(mult(mult(a, b), c), mult(a, b)) = mult(mult(b, mult(mult(a, c), a)), b)),
% 6.26/6.47 inference(transitivity,[status(thm)],[14625, 14632, 14797, 14482, 11822])).
% 6.26/6.47 tff(14799,plain,
% 6.26/6.47 (mult(a, mult(mult(mult(a, b), c), mult(a, b))) = mult(a, mult(mult(b, mult(mult(a, c), a)), b))),
% 6.26/6.47 inference(monotonicity,[status(thm)],[14798])).
% 6.26/6.47 tff(14800,plain,
% 6.26/6.47 (mult(mult(a, mult(mult(a, b), c)), mult(a, b)) = mult(mult(mult(mult(a, b), c), a), mult(a, b))),
% 6.26/6.47 inference(transitivity,[status(thm)],[14639, 14636, 6127, 14799, 11820, 14780, 10947, 7849, 7848, 7202, 11795, 6691])).
% 6.26/6.47 tff(14801,plain,
% 6.26/6.47 (rd(mult(mult(a, mult(mult(a, b), c)), mult(a, b)), mult(a, b)) = rd(mult(mult(mult(mult(a, b), c), a), mult(a, b)), mult(a, b))),
% 6.26/6.47 inference(monotonicity,[status(thm)],[14800])).
% 6.26/6.47 tff(14802,plain,
% 6.26/6.47 (rd(mult(mult(mult(mult(a, b), c), a), mult(a, b)), mult(a, b)) = rd(mult(mult(a, mult(mult(a, b), c)), mult(a, b)), mult(a, b))),
% 6.26/6.47 inference(symmetry,[status(thm)],[14801])).
% 6.26/6.47 tff(14803,plain,
% 6.26/6.47 (mult(a, mult(mult(b, c), a)) = mult(a, mult(mult(a, b), c))),
% 6.26/6.47 inference(transitivity,[status(thm)],[11403, 10660, 11491, 14802, 14643])).
% 6.26/6.47 tff(14804,plain,
% 6.26/6.47 (ld(a, mult(a, mult(mult(b, c), a))) = ld(a, mult(a, mult(mult(a, b), c)))),
% 6.26/6.47 inference(monotonicity,[status(thm)],[14803])).
% 6.26/6.47 tff(14805,plain,
% 6.26/6.47 (mult(mult(b, c), a) = mult(mult(a, b), c)),
% 6.26/6.47 inference(transitivity,[status(thm)],[5314, 14804, 114])).
% 6.26/6.47 tff(14806,plain,
% 6.26/6.47 (mult(mult(mult(b, c), a), mult(mult(a, b), a)) = mult(mult(mult(a, b), c), mult(mult(a, b), a))),
% 6.26/6.47 inference(monotonicity,[status(thm)],[14805])).
% 6.26/6.47 tff(14807,plain,
% 6.26/6.47 (mult(b, mult(mult(a, c), mult(mult(a, b), a))) = mult(mult(b, mult(a, c)), mult(mult(a, b), a))),
% 6.26/6.47 inference(symmetry,[status(thm)],[13856])).
% 6.26/6.47 tff(14808,plain,
% 6.26/6.47 (mult(b, mult(a, mult(mult(mult(a, b), a), c))) = mult(b, mult(mult(a, c), mult(mult(a, b), a)))),
% 6.26/6.47 inference(monotonicity,[status(thm)],[13405])).
% 6.26/6.47 tff(14809,plain,
% 6.26/6.47 (mult(a, mult(mult(b, a), mult(a, c))) = mult(a, mult(mult(mult(a, b), a), c))),
% 6.26/6.47 inference(transitivity,[status(thm)],[13599, 13740, 13739, 11029, 12406, 13404])).
% 6.26/6.47 tff(14810,plain,
% 6.26/6.47 (mult(b, mult(a, mult(mult(b, a), mult(a, c)))) = mult(b, mult(a, mult(mult(mult(a, b), a), c)))),
% 6.26/6.47 inference(monotonicity,[status(thm)],[14809])).
% 6.26/6.47 tff(14811,plain,
% 6.26/6.47 (mult(c, mult(mult(a, b), a)) = mult(mult(a, c), mult(b, a))),
% 6.26/6.47 inference(transitivity,[status(thm)],[13624, 14783, 10815])).
% 6.26/6.47 tff(14812,plain,
% 6.26/6.47 (mult(mult(c, mult(mult(a, b), a)), a) = mult(mult(mult(a, c), mult(b, a)), a)),
% 6.26/6.47 inference(monotonicity,[status(thm)],[14811])).
% 6.26/6.47 tff(14813,plain,
% 6.26/6.47 (mult(c, mult(a, mult(mult(a, b), a))) = mult(a, mult(mult(b, a), mult(a, c)))),
% 6.26/6.47 inference(transitivity,[status(thm)],[14131, 9355, 9354, 9304, 14812, 13738, 13577, 13598])).
% 6.26/6.47 tff(14814,plain,
% 6.26/6.47 (mult(b, mult(c, mult(a, mult(mult(a, b), a)))) = mult(b, mult(a, mult(mult(b, a), mult(a, c))))),
% 6.26/6.47 inference(monotonicity,[status(thm)],[14813])).
% 6.26/6.47 tff(14815,assumption,(mult(mult(b, mult(a, mult(mult(a, b), a))), c) = mult(b, mult(c, mult(a, mult(mult(a, b), a))))), introduced(assumption)).
% 6.26/6.47 tff(14816,assumption,(mult(mult(mult(b, a), mult(mult(a, b), a)), c) = mult(mult(b, a), mult(mult(mult(a, b), a), c))), introduced(assumption)).
% 6.26/6.47 tff(14817,plain,
% 6.26/6.47 (mult(mult(b, a), mult(mult(mult(a, b), a), c)) = mult(mult(mult(b, a), mult(mult(a, b), a)), c)),
% 6.32/6.47 inference(symmetry,[status(thm)],[14816])).
% 6.32/6.47 tff(14818,plain,
% 6.32/6.47 (mult(mult(b, a), mult(mult(b, a), mult(a, c))) = mult(mult(b, a), mult(mult(mult(a, b), a), c))),
% 6.32/6.47 inference(monotonicity,[status(thm)],[14757])).
% 6.32/6.47 tff(14819,plain,
% 6.32/6.47 (mult(mult(b, a), mult(mult(b, a), mult(a, c))) = mult(mult(a, b), mult(mult(b, a), mult(a, c)))),
% 6.32/6.47 inference(transitivity,[status(thm)],[14818, 14817, 14749, 14815, 14814, 14810, 14808, 14807, 14660, 14806, 14776, 14759])).
% 6.32/6.47 tff(14820,plain,
% 6.32/6.47 (rd(mult(mult(b, a), mult(mult(b, a), mult(a, c))), mult(mult(b, a), mult(a, c))) = rd(mult(mult(a, b), mult(mult(b, a), mult(a, c))), mult(mult(b, a), mult(a, c)))),
% 6.32/6.47 inference(monotonicity,[status(thm)],[14819])).
% 6.32/6.47 tff(14821,plain,
% 6.32/6.47 (rd(mult(mult(a, b), mult(mult(b, a), mult(a, c))), mult(mult(b, a), mult(a, c))) = rd(mult(mult(b, a), mult(mult(b, a), mult(a, c))), mult(mult(b, a), mult(a, c)))),
% 6.32/6.47 inference(symmetry,[status(thm)],[14820])).
% 6.32/6.47 tff(14822,plain,
% 6.32/6.47 ((~![B: $i, A: $i] : (rd(mult(A, B), B) = A)) | (rd(mult(mult(a, b), mult(mult(b, a), mult(a, c))), mult(mult(b, a), mult(a, c))) = mult(a, b))),
% 6.32/6.47 inference(quant_inst,[status(thm)],[])).
% 6.32/6.47 tff(14823,plain,
% 6.32/6.47 (rd(mult(mult(a, b), mult(mult(b, a), mult(a, c))), mult(mult(b, a), mult(a, c))) = mult(a, b)),
% 6.32/6.47 inference(unit_resolution,[status(thm)],[14822, 72])).
% 6.32/6.47 tff(14824,plain,
% 6.32/6.47 (mult(a, b) = rd(mult(mult(a, b), mult(mult(b, a), mult(a, c))), mult(mult(b, a), mult(a, c)))),
% 6.32/6.47 inference(symmetry,[status(thm)],[14823])).
% 6.32/6.47 tff(14825,plain,
% 6.32/6.47 (mult(a, b) = mult(b, a)),
% 6.32/6.47 inference(transitivity,[status(thm)],[14824, 14821, 14755])).
% 6.32/6.47 tff(14826,plain,
% 6.32/6.47 ($false),
% 6.32/6.47 inference(unit_resolution,[status(thm)],[1, 14825])).
% 6.32/6.47 tff(14827,plain,((mult(mult(mult(a, b), c), mult(mult(a, b), a)) = mult(mult(a, b), mult(c, mult(mult(a, b), a)))) | (mult(a, b) = mult(b, a)) | (~(mult(mult(mult(b, a), mult(mult(a, b), a)), c) = mult(mult(b, a), mult(mult(mult(a, b), a), c)))) | (~(mult(mult(b, mult(a, mult(mult(a, b), a))), c) = mult(b, mult(c, mult(a, mult(mult(a, b), a)))))) | (~(mult(mult(b, mult(a, c)), mult(mult(a, b), a)) = mult(b, mult(mult(a, c), mult(mult(a, b), a))))) | (~(mult(mult(mult(mult(mult(a, b), c), a), b), a) = mult(mult(mult(mult(a, b), c), a), mult(a, b)))) | (~(mult(mult(mult(mult(b, a), mult(a, c)), a), b) = mult(mult(mult(b, a), mult(a, c)), mult(b, a)))) | (~(mult(mult(mult(mult(mult(a, c), mult(b, a)), c), mult(a, b)), a) = mult(mult(mult(mult(a, c), mult(b, a)), c), mult(mult(a, b), a)))) | (~(mult(mult(mult(mult(a, c), mult(b, a)), c), a) = mult(mult(mult(a, c), mult(b, a)), mult(a, c)))) | (~(mult(mult(c, a), mult(a, b)) = mult(c, mult(mult(a, b), a)))) | (~(mult(mult(a, mult(mult(a, b), a)), c) = mult(a, mult(c, mult(mult(a, b), a))))) | (~(mult(mult(mult(a, a), mult(b, a)), c) = mult(mult(a, a), mult(mult(b, a), c)))) | (~(mult(mult(a, a), mult(b, mult(c, a))) = mult(a, mult(a, mult(b, mult(c, a)))))) | (~(mult(mult(a, c), mult(b, a)) = mult(a, mult(mult(b, a), c)))) | (~(mult(mult(a, a), mult(b, a)) = mult(a, mult(a, mult(b, a))))) | (~(mult(mult(mult(mult(mult(a, c), mult(b, a)), mult(a, c)), b), a) = mult(mult(mult(mult(a, c), mult(b, a)), mult(a, c)), mult(b, a)))) | (~(mult(mult(mult(a, c), a), b) = mult(mult(a, c), mult(b, a)))) | (~(mult(mult(mult(a, b), c), a) = mult(mult(a, b), mult(a, c)))) | (~(mult(mult(a, c), mult(mult(a, b), a)) = mult(a, mult(mult(mult(a, b), a), c)))) | (~(mult(mult(a, mult(b, mult(c, a))), a) = mult(a, mult(mult(b, mult(c, a)), a)))) | (~(mult(mult(mult(b, a), a), b) = mult(mult(b, a), mult(a, b))))), inference(lemma,lemma(discharge,[]))).
% 6.32/6.47 tff(14828,plain,
% 6.32/6.47 (mult(mult(mult(a, b), c), mult(mult(a, b), a)) = mult(mult(a, b), mult(c, mult(mult(a, b), a)))),
% 6.32/6.47 inference(unit_resolution,[status(thm)],[14827, 14753, 1, 14742, 14685, 13549, 10947, 14613, 14579, 9263, 14488, 14501, 14487, 13275, 11024, 13545, 1362, 168, 14471, 14468, 12167])).
% 6.32/6.47 tff(14829,plain,
% 6.32/6.47 (mult(mult(a, b), mult(c, mult(mult(a, b), a))) = mult(mult(mult(a, b), c), mult(mult(a, b), a))),
% 6.32/6.47 inference(symmetry,[status(thm)],[14828])).
% 6.32/6.48 tff(14830,plain,
% 6.32/6.48 (mult(mult(a, b), mult(mult(a, c), mult(b, a))) = mult(mult(a, b), mult(c, mult(mult(a, b), a)))),
% 6.32/6.48 inference(monotonicity,[status(thm)],[14718])).
% 6.32/6.48 tff(14831,plain,
% 6.32/6.48 (mult(mult(a, b), mult(mult(c, a), mult(a, b))) = mult(mult(a, b), mult(mult(a, c), mult(b, a)))),
% 6.32/6.48 inference(monotonicity,[status(thm)],[14619])).
% 6.32/6.48 tff(14832,plain,
% 6.32/6.48 (mult(mult(a, b), mult(mult(c, a), mult(a, b))) = mult(mult(mult(b, mult(c, a)), a), mult(b, a))),
% 6.32/6.48 inference(transitivity,[status(thm)],[14831, 14830, 14829, 12309, 7204, 7203, 13560, 7196, 3535])).
% 6.32/6.48 tff(14833,plain,
% 6.32/6.48 (mult(mult(mult(a, b), mult(c, a)), mult(a, b)) = mult(mult(b, mult(c, a)), mult(a, mult(b, a)))),
% 6.32/6.48 inference(transitivity,[status(thm)],[14716, 11390, 4201, 4198, 4196])).
% 6.32/6.48 tff(14834,plain,
% 6.32/6.48 ((mult(mult(mult(a, b), mult(c, a)), mult(a, b)) = mult(mult(a, b), mult(mult(c, a), mult(a, b)))) <=> (mult(mult(b, mult(c, a)), mult(a, mult(b, a))) = mult(mult(mult(b, mult(c, a)), a), mult(b, a)))),
% 6.32/6.48 inference(monotonicity,[status(thm)],[14833, 14832])).
% 6.32/6.48 tff(14835,plain,
% 6.32/6.48 ((mult(mult(mult(a, b), mult(c, a)), mult(a, b)) = mult(mult(a, b), mult(mult(c, a), mult(a, b)))) <=> (mult(mult(mult(b, mult(c, a)), a), mult(b, a)) = mult(mult(b, mult(c, a)), mult(a, mult(b, a))))),
% 6.32/6.48 inference(transitivity,[status(thm)],[14834, 2])).
% 6.32/6.48 tff(14836,plain,
% 6.32/6.48 ((mult(mult(mult(b, mult(c, a)), a), mult(b, a)) = mult(mult(b, mult(c, a)), mult(a, mult(b, a)))) <=> (mult(mult(mult(a, b), mult(c, a)), mult(a, b)) = mult(mult(a, b), mult(mult(c, a), mult(a, b))))),
% 6.32/6.48 inference(symmetry,[status(thm)],[14835])).
% 6.32/6.48 tff(14837,plain,
% 6.32/6.48 ((~(mult(mult(mult(b, mult(c, a)), a), mult(b, a)) = mult(mult(b, mult(c, a)), mult(a, mult(b, a))))) <=> (~(mult(mult(mult(a, b), mult(c, a)), mult(a, b)) = mult(mult(a, b), mult(mult(c, a), mult(a, b)))))),
% 6.32/6.48 inference(monotonicity,[status(thm)],[14836])).
% 6.32/6.48 tff(14838,plain,
% 6.32/6.48 (~(mult(mult(mult(a, b), mult(c, a)), mult(a, b)) = mult(mult(a, b), mult(mult(c, a), mult(a, b))))),
% 6.32/6.48 inference(modus_ponens,[status(thm)],[10726, 14837])).
% 6.32/6.48 tff(14839,plain,
% 6.32/6.48 (((~(mult(mult(mult(a, b), mult(a, b)), mult(c, a)) = mult(mult(a, b), mult(mult(a, b), mult(c, a))))) | (~(mult(mult(mult(a, b), mult(c, a)), mult(a, b)) = mult(mult(a, b), mult(mult(c, a), mult(a, b)))))) | (mult(mult(mult(a, b), mult(c, a)), mult(a, b)) = mult(mult(a, b), mult(mult(c, a), mult(a, b))))),
% 6.32/6.48 inference(tautology,[status(thm)],[])).
% 6.32/6.48 tff(14840,plain,
% 6.32/6.48 ((~(mult(mult(mult(a, b), mult(a, b)), mult(c, a)) = mult(mult(a, b), mult(mult(a, b), mult(c, a))))) | (~(mult(mult(mult(a, b), mult(c, a)), mult(a, b)) = mult(mult(a, b), mult(mult(c, a), mult(a, b)))))),
% 6.32/6.48 inference(unit_resolution,[status(thm)],[14839, 14838])).
% 6.32/6.48 tff(14841,plain,
% 6.32/6.48 (((~![X0: $i, X1: $i, X2: $i] : ((~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X2, X1)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X1, X2)))))) | (~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X1, X2)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X2, X1)))))))) | ((~((~(mult(mult(mult(a, b), mult(a, b)), mult(c, a)) = mult(mult(a, b), mult(mult(c, a), mult(a, b))))) | (~(mult(mult(mult(a, b), mult(c, a)), mult(a, b)) = mult(mult(a, b), mult(mult(a, b), mult(c, a))))))) | (~((~(mult(mult(mult(a, b), mult(a, b)), mult(c, a)) = mult(mult(a, b), mult(mult(a, b), mult(c, a))))) | (~(mult(mult(mult(a, b), mult(c, a)), mult(a, b)) = mult(mult(a, b), mult(mult(c, a), mult(a, b))))))))) <=> ((~![X0: $i, X1: $i, X2: $i] : ((~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X2, X1)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X1, X2)))))) | (~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X1, X2)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X2, X1)))))))) | (~((~(mult(mult(mult(a, b), mult(a, b)), mult(c, a)) = mult(mult(a, b), mult(mult(c, a), mult(a, b))))) | (~(mult(mult(mult(a, b), mult(c, a)), mult(a, b)) = mult(mult(a, b), mult(mult(a, b), mult(c, a))))))) | (~((~(mult(mult(mult(a, b), mult(a, b)), mult(c, a)) = mult(mult(a, b), mult(mult(a, b), mult(c, a))))) | (~(mult(mult(mult(a, b), mult(c, a)), mult(a, b)) = mult(mult(a, b), mult(mult(c, a), mult(a, b))))))))),
% 6.32/6.48 inference(rewrite,[status(thm)],[])).
% 6.32/6.48 tff(14842,plain,
% 6.32/6.48 ((~![X0: $i, X1: $i, X2: $i] : ((~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X2, X1)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X1, X2)))))) | (~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X1, X2)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X2, X1)))))))) | ((~((~(mult(mult(mult(a, b), mult(a, b)), mult(c, a)) = mult(mult(a, b), mult(mult(c, a), mult(a, b))))) | (~(mult(mult(mult(a, b), mult(c, a)), mult(a, b)) = mult(mult(a, b), mult(mult(a, b), mult(c, a))))))) | (~((~(mult(mult(mult(a, b), mult(a, b)), mult(c, a)) = mult(mult(a, b), mult(mult(a, b), mult(c, a))))) | (~(mult(mult(mult(a, b), mult(c, a)), mult(a, b)) = mult(mult(a, b), mult(mult(c, a), mult(a, b))))))))),
% 6.32/6.48 inference(quant_inst,[status(thm)],[])).
% 6.32/6.48 tff(14843,plain,
% 6.32/6.48 ((~![X0: $i, X1: $i, X2: $i] : ((~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X2, X1)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X1, X2)))))) | (~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X1, X2)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X2, X1)))))))) | (~((~(mult(mult(mult(a, b), mult(a, b)), mult(c, a)) = mult(mult(a, b), mult(mult(c, a), mult(a, b))))) | (~(mult(mult(mult(a, b), mult(c, a)), mult(a, b)) = mult(mult(a, b), mult(mult(a, b), mult(c, a))))))) | (~((~(mult(mult(mult(a, b), mult(a, b)), mult(c, a)) = mult(mult(a, b), mult(mult(a, b), mult(c, a))))) | (~(mult(mult(mult(a, b), mult(c, a)), mult(a, b)) = mult(mult(a, b), mult(mult(c, a), mult(a, b)))))))),
% 6.32/6.48 inference(modus_ponens,[status(thm)],[14842, 14841])).
% 6.32/6.48 tff(14844,plain,
% 6.32/6.48 ((~((~(mult(mult(mult(a, b), mult(a, b)), mult(c, a)) = mult(mult(a, b), mult(mult(c, a), mult(a, b))))) | (~(mult(mult(mult(a, b), mult(c, a)), mult(a, b)) = mult(mult(a, b), mult(mult(a, b), mult(c, a))))))) | (~((~(mult(mult(mult(a, b), mult(a, b)), mult(c, a)) = mult(mult(a, b), mult(mult(a, b), mult(c, a))))) | (~(mult(mult(mult(a, b), mult(c, a)), mult(a, b)) = mult(mult(a, b), mult(mult(c, a), mult(a, b)))))))),
% 6.32/6.48 inference(unit_resolution,[status(thm)],[14843, 30])).
% 6.32/6.48 tff(14845,plain,
% 6.32/6.48 (~((~(mult(mult(mult(a, b), mult(a, b)), mult(c, a)) = mult(mult(a, b), mult(mult(c, a), mult(a, b))))) | (~(mult(mult(mult(a, b), mult(c, a)), mult(a, b)) = mult(mult(a, b), mult(mult(a, b), mult(c, a))))))),
% 6.32/6.48 inference(unit_resolution,[status(thm)],[14844, 14840])).
% 6.32/6.48 tff(14846,plain,
% 6.32/6.48 (((~(mult(mult(mult(a, b), mult(a, b)), mult(c, a)) = mult(mult(a, b), mult(mult(c, a), mult(a, b))))) | (~(mult(mult(mult(a, b), mult(c, a)), mult(a, b)) = mult(mult(a, b), mult(mult(a, b), mult(c, a)))))) | (mult(mult(mult(a, b), mult(c, a)), mult(a, b)) = mult(mult(a, b), mult(mult(a, b), mult(c, a))))),
% 6.32/6.48 inference(tautology,[status(thm)],[])).
% 6.32/6.48 tff(14847,plain,
% 6.32/6.48 (mult(mult(mult(a, b), mult(c, a)), mult(a, b)) = mult(mult(a, b), mult(mult(a, b), mult(c, a)))),
% 6.32/6.48 inference(unit_resolution,[status(thm)],[14846, 14845])).
% 6.32/6.48 tff(14848,plain,
% 6.32/6.48 (mult(mult(a, b), mult(mult(a, b), mult(c, a))) = mult(mult(mult(a, b), mult(c, a)), mult(a, b))),
% 6.32/6.48 inference(symmetry,[status(thm)],[14847])).
% 6.32/6.48 tff(14849,plain,
% 6.32/6.48 (mult(mult(b, a), mult(a, c)) = mult(mult(a, b), mult(c, a))),
% 6.32/6.48 inference(transitivity,[status(thm)],[12189, 14475, 11987, 9222])).
% 6.32/6.48 tff(14850,plain,
% 6.32/6.48 (mult(mult(a, b), mult(mult(b, a), mult(a, c))) = mult(mult(a, b), mult(mult(a, b), mult(c, a)))),
% 6.32/6.48 inference(monotonicity,[status(thm)],[14849])).
% 6.32/6.48 tff(14851,plain,
% 6.32/6.48 (mult(mult(a, b), mult(mult(a, c), mult(b, a))) = mult(mult(mult(mult(mult(a, b), c), a), b), a)),
% 6.32/6.48 inference(transitivity,[status(thm)],[14830, 14829, 12309])).
% 6.32/6.48 tff(14852,plain,
% 6.32/6.48 (mult(mult(mult(mult(a, b), c), a), mult(b, a)) = mult(mult(mult(a, b), mult(a, c)), mult(b, a))),
% 6.32/6.48 inference(monotonicity,[status(thm)],[168])).
% 6.32/6.48 tff(14853,plain,
% 6.32/6.48 (mult(mult(mult(a, b), mult(a, c)), mult(b, a)) = mult(mult(mult(mult(a, b), c), a), mult(b, a))),
% 6.32/6.48 inference(symmetry,[status(thm)],[14852])).
% 6.32/6.48 tff(14854,plain,
% 6.32/6.48 ((mult(mult(mult(a, b), mult(a, c)), mult(b, a)) = mult(mult(a, b), mult(mult(a, c), mult(b, a)))) <=> (mult(mult(mult(mult(a, b), c), a), mult(b, a)) = mult(mult(mult(mult(mult(a, b), c), a), b), a))),
% 6.32/6.48 inference(monotonicity,[status(thm)],[14853, 14851])).
% 6.32/6.48 tff(14855,plain,
% 6.32/6.48 ((mult(mult(mult(a, b), mult(a, c)), mult(b, a)) = mult(mult(a, b), mult(mult(a, c), mult(b, a)))) <=> (mult(mult(mult(mult(mult(a, b), c), a), b), a) = mult(mult(mult(mult(a, b), c), a), mult(b, a)))),
% 6.32/6.48 inference(transitivity,[status(thm)],[14854, 7503])).
% 6.32/6.48 tff(14856,plain,
% 6.32/6.48 ((mult(mult(mult(mult(mult(a, b), c), a), b), a) = mult(mult(mult(mult(a, b), c), a), mult(b, a))) <=> (mult(mult(mult(a, b), mult(a, c)), mult(b, a)) = mult(mult(a, b), mult(mult(a, c), mult(b, a))))),
% 6.32/6.48 inference(symmetry,[status(thm)],[14855])).
% 6.32/6.48 tff(14857,plain,
% 6.32/6.48 ((~(mult(mult(mult(mult(mult(a, b), c), a), b), a) = mult(mult(mult(mult(a, b), c), a), mult(b, a)))) <=> (~(mult(mult(mult(a, b), mult(a, c)), mult(b, a)) = mult(mult(a, b), mult(mult(a, c), mult(b, a)))))),
% 6.32/6.48 inference(monotonicity,[status(thm)],[14856])).
% 6.32/6.48 tff(14858,plain,
% 6.32/6.48 (~(mult(mult(mult(a, b), mult(a, c)), mult(b, a)) = mult(mult(a, b), mult(mult(a, c), mult(b, a))))),
% 6.32/6.48 inference(modus_ponens,[status(thm)],[13546, 14857])).
% 6.32/6.48 tff(14859,plain,
% 6.32/6.48 (((~(mult(mult(mult(a, b), mult(b, a)), mult(a, c)) = mult(mult(a, b), mult(mult(b, a), mult(a, c))))) | (~(mult(mult(mult(a, b), mult(a, c)), mult(b, a)) = mult(mult(a, b), mult(mult(a, c), mult(b, a)))))) | (mult(mult(mult(a, b), mult(a, c)), mult(b, a)) = mult(mult(a, b), mult(mult(a, c), mult(b, a))))),
% 6.32/6.48 inference(tautology,[status(thm)],[])).
% 6.32/6.48 tff(14860,plain,
% 6.32/6.48 ((~(mult(mult(mult(a, b), mult(b, a)), mult(a, c)) = mult(mult(a, b), mult(mult(b, a), mult(a, c))))) | (~(mult(mult(mult(a, b), mult(a, c)), mult(b, a)) = mult(mult(a, b), mult(mult(a, c), mult(b, a)))))),
% 6.32/6.48 inference(unit_resolution,[status(thm)],[14859, 14858])).
% 6.32/6.48 tff(14861,plain,
% 6.32/6.48 (((~![X0: $i, X1: $i, X2: $i] : ((~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X2, X1)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X1, X2)))))) | (~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X1, X2)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X2, X1)))))))) | ((~((~(mult(mult(mult(a, b), mult(b, a)), mult(a, c)) = mult(mult(a, b), mult(mult(a, c), mult(b, a))))) | (~(mult(mult(mult(a, b), mult(a, c)), mult(b, a)) = mult(mult(a, b), mult(mult(b, a), mult(a, c))))))) | (~((~(mult(mult(mult(a, b), mult(b, a)), mult(a, c)) = mult(mult(a, b), mult(mult(b, a), mult(a, c))))) | (~(mult(mult(mult(a, b), mult(a, c)), mult(b, a)) = mult(mult(a, b), mult(mult(a, c), mult(b, a))))))))) <=> ((~![X0: $i, X1: $i, X2: $i] : ((~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X2, X1)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X1, X2)))))) | (~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X1, X2)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X2, X1)))))))) | (~((~(mult(mult(mult(a, b), mult(b, a)), mult(a, c)) = mult(mult(a, b), mult(mult(a, c), mult(b, a))))) | (~(mult(mult(mult(a, b), mult(a, c)), mult(b, a)) = mult(mult(a, b), mult(mult(b, a), mult(a, c))))))) | (~((~(mult(mult(mult(a, b), mult(b, a)), mult(a, c)) = mult(mult(a, b), mult(mult(b, a), mult(a, c))))) | (~(mult(mult(mult(a, b), mult(a, c)), mult(b, a)) = mult(mult(a, b), mult(mult(a, c), mult(b, a))))))))),
% 6.32/6.48 inference(rewrite,[status(thm)],[])).
% 6.32/6.48 tff(14862,plain,
% 6.32/6.48 ((~![X0: $i, X1: $i, X2: $i] : ((~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X2, X1)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X1, X2)))))) | (~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X1, X2)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X2, X1)))))))) | ((~((~(mult(mult(mult(a, b), mult(b, a)), mult(a, c)) = mult(mult(a, b), mult(mult(a, c), mult(b, a))))) | (~(mult(mult(mult(a, b), mult(a, c)), mult(b, a)) = mult(mult(a, b), mult(mult(b, a), mult(a, c))))))) | (~((~(mult(mult(mult(a, b), mult(b, a)), mult(a, c)) = mult(mult(a, b), mult(mult(b, a), mult(a, c))))) | (~(mult(mult(mult(a, b), mult(a, c)), mult(b, a)) = mult(mult(a, b), mult(mult(a, c), mult(b, a))))))))),
% 6.32/6.48 inference(quant_inst,[status(thm)],[])).
% 6.32/6.48 tff(14863,plain,
% 6.32/6.48 ((~![X0: $i, X1: $i, X2: $i] : ((~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X2, X1)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X1, X2)))))) | (~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X1, X2)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X2, X1)))))))) | (~((~(mult(mult(mult(a, b), mult(b, a)), mult(a, c)) = mult(mult(a, b), mult(mult(a, c), mult(b, a))))) | (~(mult(mult(mult(a, b), mult(a, c)), mult(b, a)) = mult(mult(a, b), mult(mult(b, a), mult(a, c))))))) | (~((~(mult(mult(mult(a, b), mult(b, a)), mult(a, c)) = mult(mult(a, b), mult(mult(b, a), mult(a, c))))) | (~(mult(mult(mult(a, b), mult(a, c)), mult(b, a)) = mult(mult(a, b), mult(mult(a, c), mult(b, a)))))))),
% 6.32/6.48 inference(modus_ponens,[status(thm)],[14862, 14861])).
% 6.32/6.48 tff(14864,plain,
% 6.32/6.48 ((~((~(mult(mult(mult(a, b), mult(b, a)), mult(a, c)) = mult(mult(a, b), mult(mult(a, c), mult(b, a))))) | (~(mult(mult(mult(a, b), mult(a, c)), mult(b, a)) = mult(mult(a, b), mult(mult(b, a), mult(a, c))))))) | (~((~(mult(mult(mult(a, b), mult(b, a)), mult(a, c)) = mult(mult(a, b), mult(mult(b, a), mult(a, c))))) | (~(mult(mult(mult(a, b), mult(a, c)), mult(b, a)) = mult(mult(a, b), mult(mult(a, c), mult(b, a)))))))),
% 6.32/6.48 inference(unit_resolution,[status(thm)],[14863, 30])).
% 6.32/6.48 tff(14865,plain,
% 6.32/6.48 (~((~(mult(mult(mult(a, b), mult(b, a)), mult(a, c)) = mult(mult(a, b), mult(mult(a, c), mult(b, a))))) | (~(mult(mult(mult(a, b), mult(a, c)), mult(b, a)) = mult(mult(a, b), mult(mult(b, a), mult(a, c))))))),
% 6.32/6.48 inference(unit_resolution,[status(thm)],[14864, 14860])).
% 6.32/6.48 tff(14866,plain,
% 6.32/6.48 (((~(mult(mult(mult(a, b), mult(b, a)), mult(a, c)) = mult(mult(a, b), mult(mult(a, c), mult(b, a))))) | (~(mult(mult(mult(a, b), mult(a, c)), mult(b, a)) = mult(mult(a, b), mult(mult(b, a), mult(a, c)))))) | (mult(mult(mult(a, b), mult(a, c)), mult(b, a)) = mult(mult(a, b), mult(mult(b, a), mult(a, c))))),
% 6.32/6.48 inference(tautology,[status(thm)],[])).
% 6.32/6.48 tff(14867,plain,
% 6.32/6.48 (mult(mult(mult(a, b), mult(a, c)), mult(b, a)) = mult(mult(a, b), mult(mult(b, a), mult(a, c)))),
% 6.32/6.48 inference(unit_resolution,[status(thm)],[14866, 14865])).
% 6.32/6.48 tff(14868,plain,
% 6.32/6.48 (mult(a, mult(mult(b, a), mult(b, mult(c, a)))) = mult(mult(b, mult(c, a)), mult(a, mult(b, a)))),
% 6.32/6.48 inference(transitivity,[status(thm)],[14714, 14711, 14654, 5972, 14457, 13550, 14852, 14867, 14850, 14848, 14716, 11390, 4201, 4198, 4196])).
% 6.32/6.48 tff(14869,plain,
% 6.32/6.48 (mult(mult(a, b), mult(a, mult(b, mult(c, a)))) = mult(mult(a, b), mult(mult(a, c), mult(b, a)))),
% 6.32/6.48 inference(monotonicity,[status(thm)],[13474])).
% 6.32/6.48 tff(14870,plain,
% 6.32/6.48 (mult(mult(a, b), mult(mult(a, c), mult(b, a))) = mult(mult(a, b), mult(mult(c, a), mult(a, b)))),
% 6.32/6.48 inference(symmetry,[status(thm)],[14831])).
% 6.32/6.48 tff(14871,plain,
% 6.32/6.48 (mult(mult(a, b), mult(a, mult(b, mult(c, a)))) = mult(mult(a, b), mult(mult(c, a), mult(a, b)))),
% 6.32/6.48 inference(transitivity,[status(thm)],[14869, 14870])).
% 6.32/6.48 tff(14872,plain,
% 6.32/6.48 (mult(mult(mult(b, a), mult(a, c)), mult(a, b)) = mult(mult(mult(a, b), mult(c, a)), mult(a, b))),
% 6.32/6.48 inference(symmetry,[status(thm)],[14716])).
% 6.32/6.48 tff(14873,plain,
% 6.32/6.48 (mult(mult(mult(a, b), mult(c, a)), b) = mult(mult(mult(b, a), mult(a, c)), b)),
% 6.32/6.48 inference(monotonicity,[status(thm)],[14715])).
% 6.32/6.48 tff(14874,plain,
% 6.32/6.48 (mult(mult(a, b), mult(b, mult(c, a))) = mult(mult(mult(b, a), mult(a, c)), b)),
% 6.32/6.48 inference(transitivity,[status(thm)],[14668, 11830, 14873])).
% 6.32/6.48 tff(14875,plain,
% 6.32/6.48 (mult(mult(mult(a, b), mult(b, mult(c, a))), a) = mult(mult(mult(mult(b, a), mult(a, c)), b), a)),
% 6.32/6.48 inference(monotonicity,[status(thm)],[14874])).
% 6.32/6.48 tff(14876,plain,
% 6.32/6.48 (mult(mult(mult(a, b), mult(b, mult(c, a))), a) = mult(mult(mult(a, b), mult(c, a)), mult(a, b))),
% 6.32/6.48 inference(transitivity,[status(thm)],[14875, 11316, 14872])).
% 6.32/6.48 tff(14877,plain,
% 6.32/6.48 ((mult(mult(mult(a, b), mult(b, mult(c, a))), a) = mult(mult(a, b), mult(a, mult(b, mult(c, a))))) <=> (mult(mult(mult(a, b), mult(c, a)), mult(a, b)) = mult(mult(a, b), mult(mult(c, a), mult(a, b))))),
% 6.32/6.48 inference(monotonicity,[status(thm)],[14876, 14871])).
% 6.32/6.48 tff(14878,plain,
% 6.32/6.48 ((mult(mult(mult(a, b), mult(c, a)), mult(a, b)) = mult(mult(a, b), mult(mult(c, a), mult(a, b)))) <=> (mult(mult(mult(a, b), mult(b, mult(c, a))), a) = mult(mult(a, b), mult(a, mult(b, mult(c, a)))))),
% 6.32/6.49 inference(symmetry,[status(thm)],[14877])).
% 6.32/6.49 tff(14879,plain,
% 6.32/6.49 ((mult(mult(mult(b, mult(c, a)), a), mult(b, a)) = mult(mult(b, mult(c, a)), mult(a, mult(b, a)))) <=> (mult(mult(mult(a, b), mult(b, mult(c, a))), a) = mult(mult(a, b), mult(a, mult(b, mult(c, a)))))),
% 6.32/6.49 inference(transitivity,[status(thm)],[14836, 14878])).
% 6.32/6.49 tff(14880,plain,
% 6.32/6.49 ((~(mult(mult(mult(b, mult(c, a)), a), mult(b, a)) = mult(mult(b, mult(c, a)), mult(a, mult(b, a))))) <=> (~(mult(mult(mult(a, b), mult(b, mult(c, a))), a) = mult(mult(a, b), mult(a, mult(b, mult(c, a))))))),
% 6.32/6.49 inference(monotonicity,[status(thm)],[14879])).
% 6.32/6.49 tff(14881,plain,
% 6.32/6.49 (~(mult(mult(mult(a, b), mult(b, mult(c, a))), a) = mult(mult(a, b), mult(a, mult(b, mult(c, a)))))),
% 6.32/6.49 inference(modus_ponens,[status(thm)],[10726, 14880])).
% 6.32/6.49 tff(14882,plain,
% 6.32/6.49 (((~(mult(mult(mult(a, b), a), mult(b, mult(c, a))) = mult(mult(a, b), mult(mult(b, mult(c, a)), a)))) | (~(mult(mult(mult(a, b), mult(b, mult(c, a))), a) = mult(mult(a, b), mult(a, mult(b, mult(c, a))))))) | (mult(mult(mult(a, b), mult(b, mult(c, a))), a) = mult(mult(a, b), mult(a, mult(b, mult(c, a)))))),
% 6.32/6.49 inference(tautology,[status(thm)],[])).
% 6.32/6.49 tff(14883,plain,
% 6.32/6.49 ((~(mult(mult(mult(a, b), a), mult(b, mult(c, a))) = mult(mult(a, b), mult(mult(b, mult(c, a)), a)))) | (~(mult(mult(mult(a, b), mult(b, mult(c, a))), a) = mult(mult(a, b), mult(a, mult(b, mult(c, a))))))),
% 6.32/6.49 inference(unit_resolution,[status(thm)],[14882, 14881])).
% 6.32/6.49 tff(14884,plain,
% 6.32/6.49 (((~![X0: $i, X1: $i, X2: $i] : ((~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X2, X1)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X1, X2)))))) | (~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X1, X2)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X2, X1)))))))) | ((~((~(mult(mult(mult(a, b), a), mult(b, mult(c, a))) = mult(mult(a, b), mult(mult(b, mult(c, a)), a)))) | (~(mult(mult(mult(a, b), mult(b, mult(c, a))), a) = mult(mult(a, b), mult(a, mult(b, mult(c, a)))))))) | (~((~(mult(mult(mult(a, b), a), mult(b, mult(c, a))) = mult(mult(a, b), mult(a, mult(b, mult(c, a)))))) | (~(mult(mult(mult(a, b), mult(b, mult(c, a))), a) = mult(mult(a, b), mult(mult(b, mult(c, a)), a)))))))) <=> ((~![X0: $i, X1: $i, X2: $i] : ((~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X2, X1)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X1, X2)))))) | (~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X1, X2)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X2, X1)))))))) | (~((~(mult(mult(mult(a, b), a), mult(b, mult(c, a))) = mult(mult(a, b), mult(mult(b, mult(c, a)), a)))) | (~(mult(mult(mult(a, b), mult(b, mult(c, a))), a) = mult(mult(a, b), mult(a, mult(b, mult(c, a)))))))) | (~((~(mult(mult(mult(a, b), a), mult(b, mult(c, a))) = mult(mult(a, b), mult(a, mult(b, mult(c, a)))))) | (~(mult(mult(mult(a, b), mult(b, mult(c, a))), a) = mult(mult(a, b), mult(mult(b, mult(c, a)), a)))))))),
% 6.32/6.49 inference(rewrite,[status(thm)],[])).
% 6.32/6.49 tff(14885,plain,
% 6.32/6.49 ((~![X0: $i, X1: $i, X2: $i] : ((~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X2, X1)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X1, X2)))))) | (~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X1, X2)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X2, X1)))))))) | ((~((~(mult(mult(mult(a, b), a), mult(b, mult(c, a))) = mult(mult(a, b), mult(mult(b, mult(c, a)), a)))) | (~(mult(mult(mult(a, b), mult(b, mult(c, a))), a) = mult(mult(a, b), mult(a, mult(b, mult(c, a)))))))) | (~((~(mult(mult(mult(a, b), a), mult(b, mult(c, a))) = mult(mult(a, b), mult(a, mult(b, mult(c, a)))))) | (~(mult(mult(mult(a, b), mult(b, mult(c, a))), a) = mult(mult(a, b), mult(mult(b, mult(c, a)), a)))))))),
% 6.32/6.49 inference(quant_inst,[status(thm)],[])).
% 6.32/6.49 tff(14886,plain,
% 6.32/6.49 ((~![X0: $i, X1: $i, X2: $i] : ((~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X2, X1)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X1, X2)))))) | (~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X1, X2)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X2, X1)))))))) | (~((~(mult(mult(mult(a, b), a), mult(b, mult(c, a))) = mult(mult(a, b), mult(mult(b, mult(c, a)), a)))) | (~(mult(mult(mult(a, b), mult(b, mult(c, a))), a) = mult(mult(a, b), mult(a, mult(b, mult(c, a)))))))) | (~((~(mult(mult(mult(a, b), a), mult(b, mult(c, a))) = mult(mult(a, b), mult(a, mult(b, mult(c, a)))))) | (~(mult(mult(mult(a, b), mult(b, mult(c, a))), a) = mult(mult(a, b), mult(mult(b, mult(c, a)), a))))))),
% 6.32/6.49 inference(modus_ponens,[status(thm)],[14885, 14884])).
% 6.32/6.49 tff(14887,plain,
% 6.32/6.49 ((~((~(mult(mult(mult(a, b), a), mult(b, mult(c, a))) = mult(mult(a, b), mult(mult(b, mult(c, a)), a)))) | (~(mult(mult(mult(a, b), mult(b, mult(c, a))), a) = mult(mult(a, b), mult(a, mult(b, mult(c, a)))))))) | (~((~(mult(mult(mult(a, b), a), mult(b, mult(c, a))) = mult(mult(a, b), mult(a, mult(b, mult(c, a)))))) | (~(mult(mult(mult(a, b), mult(b, mult(c, a))), a) = mult(mult(a, b), mult(mult(b, mult(c, a)), a))))))),
% 6.32/6.49 inference(unit_resolution,[status(thm)],[14886, 30])).
% 6.32/6.49 tff(14888,plain,
% 6.32/6.49 (~((~(mult(mult(mult(a, b), a), mult(b, mult(c, a))) = mult(mult(a, b), mult(a, mult(b, mult(c, a)))))) | (~(mult(mult(mult(a, b), mult(b, mult(c, a))), a) = mult(mult(a, b), mult(mult(b, mult(c, a)), a)))))),
% 6.32/6.49 inference(unit_resolution,[status(thm)],[14887, 14883])).
% 6.32/6.49 tff(14889,plain,
% 6.32/6.49 (((~(mult(mult(mult(a, b), a), mult(b, mult(c, a))) = mult(mult(a, b), mult(a, mult(b, mult(c, a)))))) | (~(mult(mult(mult(a, b), mult(b, mult(c, a))), a) = mult(mult(a, b), mult(mult(b, mult(c, a)), a))))) | (mult(mult(mult(a, b), a), mult(b, mult(c, a))) = mult(mult(a, b), mult(a, mult(b, mult(c, a)))))),
% 6.32/6.49 inference(tautology,[status(thm)],[])).
% 6.32/6.49 tff(14890,plain,
% 6.32/6.49 (mult(mult(mult(a, b), a), mult(b, mult(c, a))) = mult(mult(a, b), mult(a, mult(b, mult(c, a))))),
% 6.32/6.49 inference(unit_resolution,[status(thm)],[14889, 14888])).
% 6.32/6.49 tff(14891,plain,
% 6.32/6.49 (mult(mult(a, mult(b, a)), mult(b, mult(c, a))) = mult(mult(mult(a, b), a), mult(b, mult(c, a)))),
% 6.32/6.49 inference(monotonicity,[status(thm)],[4194])).
% 6.32/6.49 tff(14892,plain,
% 6.32/6.49 (mult(mult(a, mult(b, a)), mult(b, mult(c, a))) = mult(mult(mult(b, mult(c, a)), a), mult(b, a))),
% 6.32/6.49 inference(transitivity,[status(thm)],[14891, 14890, 14869, 14830, 14829, 12309, 7204, 7203, 13560, 7196, 3535])).
% 6.32/6.49 tff(14893,plain,
% 6.32/6.49 ((mult(mult(a, mult(b, a)), mult(b, mult(c, a))) = mult(a, mult(mult(b, a), mult(b, mult(c, a))))) <=> (mult(mult(mult(b, mult(c, a)), a), mult(b, a)) = mult(mult(b, mult(c, a)), mult(a, mult(b, a))))),
% 6.32/6.49 inference(monotonicity,[status(thm)],[14892, 14868])).
% 6.32/6.49 tff(14894,plain,
% 6.32/6.49 ((mult(mult(mult(b, mult(c, a)), a), mult(b, a)) = mult(mult(b, mult(c, a)), mult(a, mult(b, a)))) <=> (mult(mult(a, mult(b, a)), mult(b, mult(c, a))) = mult(a, mult(mult(b, a), mult(b, mult(c, a)))))),
% 6.32/6.49 inference(symmetry,[status(thm)],[14893])).
% 6.32/6.49 tff(14895,plain,
% 6.32/6.49 ((~(mult(mult(mult(b, mult(c, a)), a), mult(b, a)) = mult(mult(b, mult(c, a)), mult(a, mult(b, a))))) <=> (~(mult(mult(a, mult(b, a)), mult(b, mult(c, a))) = mult(a, mult(mult(b, a), mult(b, mult(c, a))))))),
% 6.32/6.49 inference(monotonicity,[status(thm)],[14894])).
% 6.32/6.49 tff(14896,plain,
% 6.32/6.49 (~(mult(mult(a, mult(b, a)), mult(b, mult(c, a))) = mult(a, mult(mult(b, a), mult(b, mult(c, a)))))),
% 6.32/6.49 inference(modus_ponens,[status(thm)],[10726, 14895])).
% 6.32/6.49 tff(14897,plain,
% 6.32/6.49 (((~(mult(mult(a, mult(b, a)), mult(b, mult(c, a))) = mult(a, mult(mult(b, a), mult(b, mult(c, a)))))) | (~(mult(mult(a, mult(b, mult(c, a))), mult(b, a)) = mult(a, mult(mult(b, mult(c, a)), mult(b, a)))))) | (mult(mult(a, mult(b, a)), mult(b, mult(c, a))) = mult(a, mult(mult(b, a), mult(b, mult(c, a)))))),
% 6.32/6.49 inference(tautology,[status(thm)],[])).
% 6.32/6.49 tff(14898,plain,
% 6.32/6.49 ((~(mult(mult(a, mult(b, a)), mult(b, mult(c, a))) = mult(a, mult(mult(b, a), mult(b, mult(c, a)))))) | (~(mult(mult(a, mult(b, mult(c, a))), mult(b, a)) = mult(a, mult(mult(b, mult(c, a)), mult(b, a)))))),
% 6.32/6.49 inference(unit_resolution,[status(thm)],[14897, 14896])).
% 6.32/6.49 tff(14899,plain,
% 6.32/6.49 (((~![X0: $i, X1: $i, X2: $i] : ((~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X2, X1)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X1, X2)))))) | (~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X1, X2)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X2, X1)))))))) | ((~((~(mult(mult(a, mult(b, a)), mult(b, mult(c, a))) = mult(a, mult(mult(b, mult(c, a)), mult(b, a))))) | (~(mult(mult(a, mult(b, mult(c, a))), mult(b, a)) = mult(a, mult(mult(b, a), mult(b, mult(c, a)))))))) | (~((~(mult(mult(a, mult(b, a)), mult(b, mult(c, a))) = mult(a, mult(mult(b, a), mult(b, mult(c, a)))))) | (~(mult(mult(a, mult(b, mult(c, a))), mult(b, a)) = mult(a, mult(mult(b, mult(c, a)), mult(b, a))))))))) <=> ((~![X0: $i, X1: $i, X2: $i] : ((~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X2, X1)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X1, X2)))))) | (~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X1, X2)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X2, X1)))))))) | (~((~(mult(mult(a, mult(b, a)), mult(b, mult(c, a))) = mult(a, mult(mult(b, mult(c, a)), mult(b, a))))) | (~(mult(mult(a, mult(b, mult(c, a))), mult(b, a)) = mult(a, mult(mult(b, a), mult(b, mult(c, a)))))))) | (~((~(mult(mult(a, mult(b, a)), mult(b, mult(c, a))) = mult(a, mult(mult(b, a), mult(b, mult(c, a)))))) | (~(mult(mult(a, mult(b, mult(c, a))), mult(b, a)) = mult(a, mult(mult(b, mult(c, a)), mult(b, a))))))))),
% 6.32/6.49 inference(rewrite,[status(thm)],[])).
% 6.32/6.49 tff(14900,plain,
% 6.32/6.49 ((~![X0: $i, X1: $i, X2: $i] : ((~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X2, X1)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X1, X2)))))) | (~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X1, X2)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X2, X1)))))))) | ((~((~(mult(mult(a, mult(b, a)), mult(b, mult(c, a))) = mult(a, mult(mult(b, mult(c, a)), mult(b, a))))) | (~(mult(mult(a, mult(b, mult(c, a))), mult(b, a)) = mult(a, mult(mult(b, a), mult(b, mult(c, a)))))))) | (~((~(mult(mult(a, mult(b, a)), mult(b, mult(c, a))) = mult(a, mult(mult(b, a), mult(b, mult(c, a)))))) | (~(mult(mult(a, mult(b, mult(c, a))), mult(b, a)) = mult(a, mult(mult(b, mult(c, a)), mult(b, a))))))))),
% 6.32/6.49 inference(quant_inst,[status(thm)],[])).
% 6.32/6.49 tff(14901,plain,
% 6.32/6.49 ((~![X0: $i, X1: $i, X2: $i] : ((~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X2, X1)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X1, X2)))))) | (~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X1, X2)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X2, X1)))))))) | (~((~(mult(mult(a, mult(b, a)), mult(b, mult(c, a))) = mult(a, mult(mult(b, mult(c, a)), mult(b, a))))) | (~(mult(mult(a, mult(b, mult(c, a))), mult(b, a)) = mult(a, mult(mult(b, a), mult(b, mult(c, a)))))))) | (~((~(mult(mult(a, mult(b, a)), mult(b, mult(c, a))) = mult(a, mult(mult(b, a), mult(b, mult(c, a)))))) | (~(mult(mult(a, mult(b, mult(c, a))), mult(b, a)) = mult(a, mult(mult(b, mult(c, a)), mult(b, a)))))))),
% 6.32/6.49 inference(modus_ponens,[status(thm)],[14900, 14899])).
% 6.32/6.49 tff(14902,plain,
% 6.32/6.49 ((~((~(mult(mult(a, mult(b, a)), mult(b, mult(c, a))) = mult(a, mult(mult(b, mult(c, a)), mult(b, a))))) | (~(mult(mult(a, mult(b, mult(c, a))), mult(b, a)) = mult(a, mult(mult(b, a), mult(b, mult(c, a)))))))) | (~((~(mult(mult(a, mult(b, a)), mult(b, mult(c, a))) = mult(a, mult(mult(b, a), mult(b, mult(c, a)))))) | (~(mult(mult(a, mult(b, mult(c, a))), mult(b, a)) = mult(a, mult(mult(b, mult(c, a)), mult(b, a)))))))),
% 6.32/6.49 inference(unit_resolution,[status(thm)],[14901, 30])).
% 6.32/6.49 tff(14903,plain,
% 6.32/6.49 (~((~(mult(mult(a, mult(b, a)), mult(b, mult(c, a))) = mult(a, mult(mult(b, mult(c, a)), mult(b, a))))) | (~(mult(mult(a, mult(b, mult(c, a))), mult(b, a)) = mult(a, mult(mult(b, a), mult(b, mult(c, a)))))))),
% 6.32/6.49 inference(unit_resolution,[status(thm)],[14902, 14898])).
% 6.32/6.49 tff(14904,plain,
% 6.32/6.49 (((~(mult(mult(a, mult(b, a)), mult(b, mult(c, a))) = mult(a, mult(mult(b, mult(c, a)), mult(b, a))))) | (~(mult(mult(a, mult(b, mult(c, a))), mult(b, a)) = mult(a, mult(mult(b, a), mult(b, mult(c, a))))))) | (mult(mult(a, mult(b, mult(c, a))), mult(b, a)) = mult(a, mult(mult(b, a), mult(b, mult(c, a)))))),
% 6.32/6.49 inference(tautology,[status(thm)],[])).
% 6.32/6.49 tff(14905,plain,
% 6.32/6.49 (mult(mult(a, mult(b, mult(c, a))), mult(b, a)) = mult(a, mult(mult(b, a), mult(b, mult(c, a))))),
% 6.32/6.49 inference(unit_resolution,[status(thm)],[14904, 14903])).
% 6.32/6.49 tff(14906,plain,
% 6.32/6.49 (mult(mult(mult(a, c), mult(b, a)), mult(b, a)) = mult(mult(a, mult(b, mult(c, a))), mult(b, a))),
% 6.32/6.49 inference(monotonicity,[status(thm)],[13471])).
% 6.32/6.49 tff(14907,plain,
% 6.32/6.49 (mult(c, mult(mult(a, b), a)) = mult(mult(a, c), mult(b, a))),
% 6.32/6.49 inference(transitivity,[status(thm)],[13624, 14584, 10815])).
% 6.32/6.49 tff(14908,plain,
% 6.32/6.49 (mult(mult(c, mult(mult(a, b), a)), mult(b, a)) = mult(mult(mult(a, c), mult(b, a)), mult(b, a))),
% 6.32/6.49 inference(monotonicity,[status(thm)],[14907])).
% 6.32/6.49 tff(14909,plain,
% 6.32/6.49 (mult(mult(c, mult(mult(a, b), a)), mult(b, a)) = mult(mult(mult(mult(a, b), c), a), mult(b, a))),
% 6.32/6.49 inference(transitivity,[status(thm)],[14908, 14906, 14905, 14714, 14711, 14654, 5972, 14457, 13550])).
% 6.32/6.49 tff(14910,plain,
% 6.32/6.49 (rd(mult(mult(c, mult(mult(a, b), a)), mult(b, a)), mult(b, a)) = rd(mult(mult(mult(mult(a, b), c), a), mult(b, a)), mult(b, a))),
% 6.32/6.49 inference(monotonicity,[status(thm)],[14909])).
% 6.32/6.49 tff(14911,plain,
% 6.32/6.49 (mult(a, mult(b, mult(c, a))) = mult(mult(mult(a, b), c), a)),
% 6.32/6.49 inference(transitivity,[status(thm)],[13277, 13276, 10816, 14583, 12147, 13873, 14910, 10998])).
% 6.32/6.49 tff(14912,plain,
% 6.32/6.49 ($false),
% 6.32/6.49 inference(unit_resolution,[status(thm)],[194, 14911])).
% 6.32/6.49 tff(14913,plain,((mult(mult(a, mult(b, a)), mult(a, c)) = mult(a, mult(mult(b, a), mult(a, c)))) | (~(mult(mult(mult(mult(b, a), mult(a, c)), a), b) = mult(mult(mult(b, a), mult(a, c)), mult(b, a)))) | (~(mult(mult(c, a), mult(a, b)) = mult(c, mult(mult(a, b), a)))) | (~(mult(mult(mult(a, c), a), b) = mult(mult(a, c), mult(b, a)))) | (~(mult(mult(mult(a, b), c), a) = mult(mult(a, b), mult(a, c)))) | (~(mult(mult(b, mult(a, b)), a) = mult(b, mult(mult(a, b), a)))) | (~(mult(mult(mult(b, a), b), a) = mult(mult(b, a), mult(b, a)))) | (~(mult(mult(a, a), mult(b, a)) = mult(a, mult(a, mult(b, a))))) | (mult(mult(mult(b, mult(c, a)), a), mult(b, a)) = mult(mult(b, mult(c, a)), mult(a, mult(b, a)))) | (~(mult(mult(mult(mult(b, a), mult(a, c)), b), a) = mult(mult(mult(b, a), mult(a, c)), mult(a, b)))) | (mult(a, b) = mult(b, a)) | (~(mult(mult(mult(b, a), a), b) = mult(mult(b, a), mult(a, b)))) | (~(mult(mult(mult(b, a), mult(a, c)), mult(b, a)) = mult(mult(b, a), mult(mult(b, a), mult(a, c))))) | (~(mult(mult(c, a), b) = mult(c, mult(b, a)))) | (mult(mult(a, c), mult(b, a)) = mult(a, mult(c, mult(b, a)))) | (~(mult(mult(mult(mult(a, a), b), a), c) = mult(mult(mult(a, a), b), mult(c, a)))) | (mult(mult(mult(a, c), b), a) = mult(mult(a, c), mult(b, a))) | (~(mult(mult(a, mult(c, a)), b) = mult(a, mult(b, mult(c, a)))))), inference(lemma,lemma(discharge,[]))).
% 6.32/6.49 tff(14914,plain,
% 6.32/6.49 (mult(mult(a, mult(b, a)), mult(a, c)) = mult(a, mult(mult(b, a), mult(a, c)))),
% 6.32/6.49 inference(unit_resolution,[status(thm)],[14913, 10943, 9263, 1362, 168, 11026, 11025, 11024, 10726, 11947, 1, 12167, 14352, 342, 119, 12437, 614, 1736])).
% 6.32/6.49 tff(14915,plain,
% 6.32/6.49 (mult(a, mult(mult(c, a), b)) = mult(mult(mult(a, b), a), c)),
% 6.32/6.49 inference(transitivity,[status(thm)],[458, 9223])).
% 6.32/6.49 tff(14916,plain,
% 6.32/6.49 (mult(a, mult(a, mult(mult(c, a), b))) = mult(a, mult(mult(mult(a, b), a), c))),
% 6.32/6.49 inference(monotonicity,[status(thm)],[14915])).
% 6.32/6.49 tff(14917,plain,
% 6.32/6.49 (mult(a, mult(a, mult(mult(c, a), b))) = mult(a, mult(mult(b, a), mult(a, c)))),
% 6.32/6.49 inference(transitivity,[status(thm)],[14916, 13345, 13684, 13281, 10864, 1532, 6997, 13952, 13577, 13950])).
% 6.32/6.49 tff(14918,plain,
% 6.32/6.49 (mult(mult(a, mult(mult(c, a), b)), a) = mult(mult(mult(mult(a, b), a), c), a)),
% 6.32/6.49 inference(monotonicity,[status(thm)],[14915])).
% 6.32/6.49 tff(14919,plain,
% 6.32/6.49 (mult(mult(a, mult(mult(c, a), b)), a) = mult(mult(a, mult(b, a)), mult(a, c))),
% 6.32/6.49 inference(transitivity,[status(thm)],[14918, 11096, 11018, 11016])).
% 6.32/6.49 tff(14920,plain,
% 6.32/6.49 ((mult(mult(a, mult(mult(c, a), b)), a) = mult(a, mult(a, mult(mult(c, a), b)))) <=> (mult(mult(a, mult(b, a)), mult(a, c)) = mult(a, mult(mult(b, a), mult(a, c))))),
% 6.32/6.49 inference(monotonicity,[status(thm)],[14919, 14917])).
% 6.32/6.49 tff(14921,plain,
% 6.32/6.49 ((mult(mult(a, mult(b, a)), mult(a, c)) = mult(a, mult(mult(b, a), mult(a, c)))) <=> (mult(mult(a, mult(mult(c, a), b)), a) = mult(a, mult(a, mult(mult(c, a), b))))),
% 6.32/6.50 inference(symmetry,[status(thm)],[14920])).
% 6.32/6.50 tff(14922,plain,
% 6.32/6.50 (mult(mult(a, mult(mult(c, a), b)), a) = mult(a, mult(a, mult(mult(c, a), b)))),
% 6.32/6.50 inference(modus_ponens,[status(thm)],[11249, 14921])).
% 6.32/6.50 tff(14923,assumption,(~(mult(mult(a, mult(mult(c, a), b)), a) = mult(a, mult(a, mult(mult(c, a), b))))), introduced(assumption)).
% 6.32/6.50 tff(14924,plain,
% 6.32/6.50 ($false),
% 6.32/6.50 inference(unit_resolution,[status(thm)],[14923, 14922])).
% 6.32/6.50 tff(14925,plain,((~(mult(mult(a, mult(b, a)), mult(a, c)) = mult(a, mult(mult(b, a), mult(a, c))))) | (mult(mult(a, mult(mult(c, a), b)), a) = mult(a, mult(a, mult(mult(c, a), b)))) | (~(mult(mult(a, mult(b, mult(c, a))), a) = mult(a, mult(mult(b, mult(c, a)), a)))) | (~(mult(mult(a, mult(c, a)), mult(a, b)) = mult(a, mult(mult(a, b), mult(c, a))))) | (~(mult(mult(mult(a, c), a), mult(a, b)) = mult(mult(a, c), mult(mult(a, b), a)))) | (~(mult(mult(a, mult(c, a)), b) = mult(a, mult(b, mult(c, a))))) | (~(mult(mult(mult(a, c), a), b) = mult(mult(a, c), mult(b, a)))) | (~(mult(mult(a, b), mult(c, a)) = mult(a, mult(mult(c, a), b)))) | (~(mult(mult(mult(a, b), a), mult(a, c)) = mult(mult(a, b), mult(mult(a, c), a))))), inference(lemma,lemma(discharge,[]))).
% 6.32/6.50 tff(14926,plain,
% 6.32/6.50 (mult(mult(a, mult(mult(c, a), b)), a) = mult(a, mult(a, mult(mult(c, a), b)))),
% 6.32/6.50 inference(unit_resolution,[status(thm)],[14925, 14455, 1736, 14914, 6854, 14451, 1362, 13541, 13459])).
% 6.32/6.50 tff(14927,plain,
% 6.32/6.50 (mult(a, mult(a, mult(mult(c, a), b))) = mult(a, mult(mult(a, b), mult(c, a)))),
% 6.32/6.50 inference(monotonicity,[status(thm)],[13703])).
% 6.32/6.50 tff(14928,plain,
% 6.32/6.50 (mult(mult(mult(mult(a, b), a), c), a) = mult(mult(mult(a, c), mult(b, a)), a)),
% 6.32/6.50 inference(transitivity,[status(thm)],[13432, 14057, 14927, 13684, 13428, 10864, 1532, 6997])).
% 6.32/6.50 tff(14929,plain,
% 6.32/6.50 (rd(mult(mult(mult(mult(a, b), a), c), a), a) = rd(mult(mult(mult(a, c), mult(b, a)), a), a)),
% 6.32/6.50 inference(monotonicity,[status(thm)],[14928])).
% 6.32/6.50 tff(14930,plain,
% 6.32/6.50 (rd(mult(mult(mult(a, c), mult(b, a)), a), a) = rd(mult(mult(mult(mult(a, b), a), c), a), a)),
% 6.32/6.50 inference(symmetry,[status(thm)],[14929])).
% 6.32/6.50 tff(14931,plain,
% 6.32/6.50 (mult(mult(a, c), mult(b, a)) = mult(a, mult(c, mult(b, a)))),
% 6.32/6.50 inference(transitivity,[status(thm)],[13436, 14930, 13427, 13425, 218])).
% 6.32/6.50 tff(14932,plain,
% 6.32/6.50 ($false),
% 6.32/6.50 inference(unit_resolution,[status(thm)],[119, 14931])).
% 6.32/6.50 tff(14933,plain,((~(mult(mult(a, mult(c, a)), mult(a, b)) = mult(a, mult(mult(a, b), mult(c, a))))) | (mult(mult(a, c), mult(b, a)) = mult(a, mult(c, mult(b, a)))) | (~(mult(mult(mult(a, c), a), mult(a, b)) = mult(mult(a, c), mult(mult(a, b), a)))) | (~(mult(mult(a, mult(mult(c, a), b)), a) = mult(a, mult(a, mult(mult(c, a), b))))) | (~(mult(mult(b, mult(c, a)), a) = mult(b, mult(a, mult(c, a))))) | (~(mult(mult(mult(a, b), a), c) = mult(mult(a, b), mult(c, a)))) | (~(mult(mult(c, a), b) = mult(c, mult(b, a)))) | (~(mult(mult(mult(a, c), a), b) = mult(mult(a, c), mult(b, a)))) | (~(mult(mult(a, b), a) = mult(a, mult(b, a))))), inference(lemma,lemma(discharge,[]))).
% 6.32/6.50 tff(14934,plain,
% 6.32/6.50 ((~(mult(mult(a, mult(c, a)), mult(a, b)) = mult(a, mult(mult(a, b), mult(c, a))))) | (mult(mult(a, c), mult(b, a)) = mult(a, mult(c, mult(b, a)))) | (~(mult(mult(mult(a, c), a), mult(a, b)) = mult(mult(a, c), mult(mult(a, b), a)))) | (~(mult(mult(a, mult(mult(c, a), b)), a) = mult(a, mult(a, mult(mult(c, a), b))))) | (~(mult(mult(mult(a, b), a), c) = mult(mult(a, b), mult(c, a)))) | (~(mult(mult(c, a), b) = mult(c, mult(b, a)))) | (~(mult(mult(mult(a, c), a), b) = mult(mult(a, c), mult(b, a)))) | (~(mult(mult(a, b), a) = mult(a, mult(b, a))))),
% 6.32/6.50 inference(unit_resolution,[status(thm)],[14933, 4679])).
% 6.32/6.50 tff(14935,plain,
% 6.32/6.50 ((~(mult(mult(a, mult(c, a)), mult(a, b)) = mult(a, mult(mult(a, b), mult(c, a))))) | (mult(mult(a, c), mult(b, a)) = mult(a, mult(c, mult(b, a)))) | (~(mult(mult(mult(a, c), a), mult(a, b)) = mult(mult(a, c), mult(mult(a, b), a)))) | (~(mult(mult(a, mult(mult(c, a), b)), a) = mult(a, mult(a, mult(mult(c, a), b))))) | (~(mult(mult(mult(a, b), a), c) = mult(mult(a, b), mult(c, a)))) | (~(mult(mult(c, a), b) = mult(c, mult(b, a)))) | (~(mult(mult(mult(a, c), a), b) = mult(mult(a, c), mult(b, a))))),
% 6.32/6.50 inference(unit_resolution,[status(thm)],[14934, 4193])).
% 6.32/6.50 tff(14936,plain,
% 6.32/6.50 ((~(mult(mult(a, mult(c, a)), mult(a, b)) = mult(a, mult(mult(a, b), mult(c, a))))) | (mult(mult(a, c), mult(b, a)) = mult(a, mult(c, mult(b, a)))) | (~(mult(mult(mult(a, c), a), mult(a, b)) = mult(mult(a, c), mult(mult(a, b), a)))) | (~(mult(mult(a, mult(mult(c, a), b)), a) = mult(a, mult(a, mult(mult(c, a), b))))) | (~(mult(mult(c, a), b) = mult(c, mult(b, a)))) | (~(mult(mult(mult(a, c), a), b) = mult(mult(a, c), mult(b, a))))),
% 6.32/6.50 inference(unit_resolution,[status(thm)],[14935, 9222])).
% 6.32/6.50 tff(14937,plain,
% 6.32/6.50 ($false),
% 6.32/6.50 inference(unit_resolution,[status(thm)],[14936, 14926, 14455, 342, 6854, 1362, 119])).
% 6.32/6.50 tff(14938,plain,((mult(mult(mult(b, mult(c, a)), a), mult(b, a)) = mult(mult(b, mult(c, a)), mult(a, mult(b, a)))) | (~(mult(mult(c, a), b) = mult(c, mult(b, a)))) | (~(mult(mult(mult(a, c), a), b) = mult(mult(a, c), mult(b, a)))) | (mult(mult(a, c), mult(b, a)) = mult(a, mult(c, mult(b, a)))) | (~(mult(mult(a, mult(c, a)), b) = mult(a, mult(b, mult(c, a))))) | (~(mult(mult(mult(b, a), b), a) = mult(mult(b, a), mult(b, a)))) | (mult(a, b) = mult(b, a)) | (~(mult(mult(a, a), mult(b, a)) = mult(a, mult(a, mult(b, a))))) | (~(mult(mult(c, a), mult(a, b)) = mult(c, mult(mult(a, b), a)))) | (~(mult(mult(mult(a, b), c), a) = mult(mult(a, b), mult(a, c)))) | (~(mult(mult(b, mult(a, b)), a) = mult(b, mult(mult(a, b), a)))) | (~(mult(mult(mult(b, a), a), b) = mult(mult(b, a), mult(a, b)))) | (~(mult(mult(mult(mult(a, a), b), a), c) = mult(mult(mult(a, a), b), mult(c, a)))) | (mult(mult(mult(a, c), b), a) = mult(mult(a, c), mult(b, a))) | (~(mult(mult(mult(mult(c, a), b), a), mult(b, a)) = mult(mult(mult(c, a), b), mult(mult(b, a), a)))) | (mult(mult(c, mult(b, a)), a) = mult(c, mult(mult(b, a), a)))), inference(lemma,lemma(discharge,[]))).
% 6.32/6.50 tff(14939,plain,
% 6.32/6.50 (mult(mult(mult(b, mult(c, a)), a), mult(b, a)) = mult(mult(b, mult(c, a)), mult(a, mult(b, a)))),
% 6.32/6.50 inference(unit_resolution,[status(thm)],[14938, 119, 1362, 342, 1736, 11025, 1, 11024, 9263, 168, 11026, 12167, 12437, 614, 9767, 10913])).
% 6.32/6.50 tff(14940,plain,
% 6.32/6.50 (~(mult(mult(a, mult(c, a)), mult(a, b)) = mult(a, mult(mult(a, b), mult(c, a))))),
% 6.32/6.50 inference(unit_resolution,[status(thm)],[14936, 13446, 342, 6854, 1362, 119])).
% 6.32/6.50 tff(14941,plain,
% 6.32/6.50 ((~(mult(mult(a, mult(a, b)), mult(c, a)) = mult(a, mult(mult(c, a), mult(a, b))))) | (~(mult(mult(a, mult(c, a)), mult(a, b)) = mult(a, mult(mult(a, b), mult(c, a)))))),
% 6.32/6.50 inference(unit_resolution,[status(thm)],[10877, 14940])).
% 6.32/6.50 tff(14942,plain,
% 6.32/6.50 (~((~(mult(mult(a, mult(a, b)), mult(c, a)) = mult(a, mult(mult(a, b), mult(c, a))))) | (~(mult(mult(a, mult(c, a)), mult(a, b)) = mult(a, mult(mult(c, a), mult(a, b))))))),
% 6.32/6.50 inference(unit_resolution,[status(thm)],[13318, 14941])).
% 6.32/6.50 tff(14943,plain,
% 6.32/6.50 (mult(mult(a, mult(a, b)), mult(c, a)) = mult(a, mult(mult(a, b), mult(c, a)))),
% 6.32/6.50 inference(unit_resolution,[status(thm)],[10867, 14942])).
% 6.32/6.50 tff(14944,plain,
% 6.32/6.50 (~(mult(mult(a, mult(b, mult(c, a))), b) = mult(a, mult(mult(b, mult(c, a)), b)))),
% 6.32/6.50 inference(unit_resolution,[status(thm)],[14235, 13394, 119, 342, 1362])).
% 6.32/6.50 tff(14945,plain,
% 6.32/6.50 ((~(mult(mult(a, b), mult(b, mult(c, a))) = mult(a, mult(b, mult(b, mult(c, a)))))) | (~(mult(mult(a, mult(b, mult(c, a))), b) = mult(a, mult(mult(b, mult(c, a)), b))))),
% 6.32/6.50 inference(unit_resolution,[status(thm)],[13720, 14944])).
% 6.32/6.50 tff(14946,plain,
% 6.32/6.50 (~((~(mult(mult(a, b), mult(b, mult(c, a))) = mult(a, mult(mult(b, mult(c, a)), b)))) | (~(mult(mult(a, mult(b, mult(c, a))), b) = mult(a, mult(b, mult(b, mult(c, a)))))))),
% 6.32/6.50 inference(unit_resolution,[status(thm)],[13725, 14945])).
% 6.32/6.50 tff(14947,plain,
% 6.32/6.50 (mult(mult(a, b), mult(b, mult(c, a))) = mult(a, mult(mult(b, mult(c, a)), b))),
% 6.32/6.50 inference(unit_resolution,[status(thm)],[13727, 14946])).
% 6.32/6.50 tff(14948,plain,
% 6.32/6.50 (mult(mult(a, mult(a, c)), mult(b, a)) = mult(a, mult(mult(a, c), mult(b, a)))),
% 6.32/6.50 inference(unit_resolution,[status(thm)],[13516, 13489])).
% 6.32/6.50 tff(14949,plain,
% 6.32/6.50 (~(mult(mult(mult(a, a), c), mult(b, a)) = mult(mult(a, a), mult(mult(b, a), c)))),
% 6.32/6.50 inference(unit_resolution,[status(thm)],[13521, 119, 11028, 13491, 13459, 342, 13369, 6854, 9263, 1362, 1736])).
% 6.32/6.50 tff(14950,plain,
% 6.32/6.50 ((~(mult(mult(mult(a, a), c), mult(b, a)) = mult(mult(a, a), mult(mult(b, a), c)))) | (~(mult(mult(mult(a, a), mult(b, a)), c) = mult(mult(a, a), mult(c, mult(b, a)))))),
% 6.32/6.50 inference(unit_resolution,[status(thm)],[13498, 14949])).
% 6.32/6.50 tff(14951,plain,
% 6.32/6.50 (~((~(mult(mult(mult(a, a), c), mult(b, a)) = mult(mult(a, a), mult(c, mult(b, a))))) | (~(mult(mult(mult(a, a), mult(b, a)), c) = mult(mult(a, a), mult(mult(b, a), c)))))),
% 6.32/6.50 inference(unit_resolution,[status(thm)],[11117, 14950])).
% 6.32/6.50 tff(14952,plain,
% 6.32/6.50 (mult(mult(mult(a, a), c), mult(b, a)) = mult(mult(a, a), mult(c, mult(b, a)))),
% 6.32/6.50 inference(unit_resolution,[status(thm)],[11089, 14951])).
% 6.32/6.50 tff(14953,plain,
% 6.32/6.50 (mult(mult(a, a), mult(mult(c, a), b)) = mult(a, mult(mult(mult(c, a), b), a))),
% 6.32/6.50 inference(unit_resolution,[status(thm)],[11045, 13445])).
% 6.32/6.50 tff(14954,plain,
% 6.32/6.50 ((mult(mult(mult(b, a), mult(a, c)), mult(b, a)) = mult(mult(mult(mult(b, a), mult(a, c)), a), b)) <=> (mult(mult(mult(mult(b, a), mult(a, c)), a), b) = mult(mult(mult(b, a), mult(a, c)), mult(b, a)))),
% 6.32/6.50 inference(commutativity,[status(thm)],[])).
% 6.32/6.50 tff(14955,plain,
% 6.32/6.50 (mult(mult(mult(b, a), mult(a, c)), mult(a, b)) = mult(mult(mult(mult(b, a), mult(a, c)), a), b)),
% 6.32/6.50 inference(symmetry,[status(thm)],[8398])).
% 6.32/6.50 tff(14956,plain,
% 6.32/6.50 (mult(mult(a, a), mult(b, mult(c, a))) = mult(mult(a, a), mult(mult(b, a), c))),
% 6.32/6.50 inference(monotonicity,[status(thm)],[3531])).
% 6.32/6.50 tff(14957,plain,
% 6.32/6.50 (mult(mult(a, a), mult(mult(b, a), c)) = mult(mult(a, a), mult(b, mult(c, a)))),
% 6.32/6.50 inference(symmetry,[status(thm)],[14956])).
% 6.32/6.50 tff(14958,plain,
% 6.32/6.50 (mult(mult(a, mult(mult(a, b), a)), c) = mult(mult(mult(a, a), mult(b, a)), c)),
% 6.32/6.50 inference(symmetry,[status(thm)],[11102])).
% 6.32/6.50 tff(14959,plain,
% 6.32/6.50 (mult(a, mult(mult(mult(a, b), a), c)) = mult(a, mult(mult(b, a), mult(a, c)))),
% 6.32/6.50 inference(transitivity,[status(thm)],[13021, 14958, 13816, 14957, 14069, 13950])).
% 6.32/6.50 tff(14960,plain,
% 6.32/6.50 (ld(a, mult(a, mult(mult(mult(a, b), a), c))) = ld(a, mult(a, mult(mult(b, a), mult(a, c))))),
% 6.32/6.50 inference(monotonicity,[status(thm)],[14959])).
% 6.32/6.50 tff(14961,plain,
% 6.32/6.50 (mult(mult(mult(a, b), a), c) = mult(mult(b, a), mult(a, c))),
% 6.32/6.50 inference(transitivity,[status(thm)],[11988, 14960, 12181])).
% 6.32/6.50 tff(14962,plain,
% 6.32/6.50 (mult(mult(b, a), mult(mult(mult(a, b), a), c)) = mult(mult(b, a), mult(mult(b, a), mult(a, c)))),
% 6.32/6.50 inference(monotonicity,[status(thm)],[14961])).
% 6.32/6.50 tff(14963,plain,
% 6.32/6.50 (mult(mult(mult(b, a), c), mult(mult(a, b), a)) = mult(mult(mult(b, a), mult(a, c)), mult(b, a))),
% 6.32/6.50 inference(transitivity,[status(thm)],[11155, 11154, 11153, 3534])).
% 6.32/6.50 tff(14964,plain,
% 6.32/6.50 ((mult(mult(mult(b, a), c), mult(mult(a, b), a)) = mult(mult(b, a), mult(mult(mult(a, b), a), c))) <=> (mult(mult(mult(b, a), mult(a, c)), mult(b, a)) = mult(mult(b, a), mult(mult(b, a), mult(a, c))))),
% 6.32/6.50 inference(monotonicity,[status(thm)],[14963, 14962])).
% 6.32/6.50 tff(14965,plain,
% 6.32/6.50 ((mult(mult(mult(b, a), mult(a, c)), mult(b, a)) = mult(mult(b, a), mult(mult(b, a), mult(a, c)))) <=> (mult(mult(mult(b, a), c), mult(mult(a, b), a)) = mult(mult(b, a), mult(mult(mult(a, b), a), c)))),
% 6.32/6.50 inference(symmetry,[status(thm)],[14964])).
% 6.32/6.50 tff(14966,plain,
% 6.32/6.50 (mult(mult(mult(a, a), b), mult(c, a)) = mult(mult(mult(a, a), mult(b, a)), c)),
% 6.32/6.50 inference(transitivity,[status(thm)],[12487, 12438, 14958])).
% 6.32/6.50 tff(14967,plain,
% 6.32/6.50 ((mult(mult(mult(a, a), b), mult(c, a)) = mult(mult(a, a), mult(b, mult(c, a)))) <=> (mult(mult(mult(a, a), mult(b, a)), c) = mult(mult(a, a), mult(mult(b, a), c)))),
% 6.32/6.50 inference(monotonicity,[status(thm)],[14966, 14956])).
% 6.32/6.50 tff(14968,plain,
% 6.32/6.50 ((mult(mult(mult(a, a), mult(b, a)), c) = mult(mult(a, a), mult(mult(b, a), c))) <=> (mult(mult(mult(a, a), b), mult(c, a)) = mult(mult(a, a), mult(b, mult(c, a))))),
% 6.32/6.50 inference(symmetry,[status(thm)],[14967])).
% 6.32/6.50 tff(14969,plain,
% 6.32/6.50 (mult(mult(mult(a, a), b), mult(c, a)) = mult(mult(a, a), mult(b, mult(c, a)))),
% 6.32/6.50 inference(modus_ponens,[status(thm)],[13816, 14968])).
% 6.32/6.50 tff(14970,assumption,(~(mult(b, mult(c, a)) = mult(mult(c, a), b))), introduced(assumption)).
% 6.32/6.50 tff(14971,plain,
% 6.32/6.50 ((~![B: $i, A: $i] : (ld(A, mult(A, B)) = B)) | (ld(mult(mult(b, a), a), mult(mult(mult(b, a), a), mult(mult(c, a), b))) = mult(mult(c, a), b))),
% 6.32/6.50 inference(quant_inst,[status(thm)],[])).
% 6.32/6.50 tff(14972,plain,
% 6.32/6.50 (ld(mult(mult(b, a), a), mult(mult(mult(b, a), a), mult(mult(c, a), b))) = mult(mult(c, a), b)),
% 6.32/6.50 inference(unit_resolution,[status(thm)],[14971, 9])).
% 6.32/6.50 tff(14973,plain,
% 6.32/6.50 (~(mult(mult(mult(b, a), mult(mult(c, a), b)), a) = mult(mult(b, a), mult(mult(mult(c, a), b), a)))),
% 6.32/6.50 inference(unit_resolution,[status(thm)],[14098, 11136, 160, 10783, 1362, 11969, 10903, 14057, 2009, 342, 14069, 13690])).
% 6.32/6.50 tff(14974,plain,
% 6.32/6.50 ((~(mult(mult(mult(b, a), a), mult(mult(c, a), b)) = mult(mult(b, a), mult(a, mult(mult(c, a), b))))) | (~(mult(mult(mult(b, a), mult(mult(c, a), b)), a) = mult(mult(b, a), mult(mult(mult(c, a), b), a))))),
% 6.32/6.50 inference(unit_resolution,[status(thm)],[11220, 14973])).
% 6.32/6.50 tff(14975,plain,
% 6.32/6.50 (~((~(mult(mult(mult(b, a), a), mult(mult(c, a), b)) = mult(mult(b, a), mult(mult(mult(c, a), b), a)))) | (~(mult(mult(mult(b, a), mult(mult(c, a), b)), a) = mult(mult(b, a), mult(a, mult(mult(c, a), b))))))),
% 6.32/6.50 inference(unit_resolution,[status(thm)],[11217, 30, 14974])).
% 6.32/6.50 tff(14976,plain,
% 6.32/6.50 (((~(mult(mult(mult(b, a), a), mult(mult(c, a), b)) = mult(mult(b, a), mult(mult(mult(c, a), b), a)))) | (~(mult(mult(mult(b, a), mult(mult(c, a), b)), a) = mult(mult(b, a), mult(a, mult(mult(c, a), b)))))) | (mult(mult(mult(b, a), a), mult(mult(c, a), b)) = mult(mult(b, a), mult(mult(mult(c, a), b), a)))),
% 6.32/6.50 inference(tautology,[status(thm)],[])).
% 6.32/6.50 tff(14977,plain,
% 6.32/6.50 (mult(mult(mult(b, a), a), mult(mult(c, a), b)) = mult(mult(b, a), mult(mult(mult(c, a), b), a))),
% 6.32/6.50 inference(unit_resolution,[status(thm)],[14976, 14975])).
% 6.32/6.50 tff(14978,plain,
% 6.32/6.50 (mult(mult(b, a), mult(mult(mult(c, a), b), a)) = mult(mult(mult(b, a), a), mult(mult(c, a), b))),
% 6.32/6.51 inference(symmetry,[status(thm)],[14977])).
% 6.32/6.51 tff(14979,plain,
% 6.32/6.51 (mult(a, mult(mult(a, c), mult(b, a))) = mult(a, mult(c, mult(mult(a, b), a)))),
% 6.32/6.51 inference(transitivity,[status(thm)],[13820, 12185, 13739, 11029, 12406, 10783])).
% 6.32/6.51 tff(14980,plain,
% 6.32/6.51 (ld(a, mult(a, mult(mult(a, c), mult(b, a)))) = ld(a, mult(a, mult(c, mult(mult(a, b), a))))),
% 6.32/6.51 inference(monotonicity,[status(thm)],[14979])).
% 6.32/6.51 tff(14981,plain,
% 6.32/6.51 (ld(a, mult(a, mult(c, mult(mult(a, b), a)))) = ld(a, mult(a, mult(mult(a, c), mult(b, a))))),
% 6.32/6.51 inference(symmetry,[status(thm)],[14980])).
% 6.32/6.51 tff(14982,plain,
% 6.32/6.51 (mult(mult(mult(c, a), b), a) = mult(mult(a, c), mult(b, a))),
% 6.32/6.51 inference(transitivity,[status(thm)],[2807, 13624, 14981, 10815])).
% 6.32/6.51 tff(14983,plain,
% 6.32/6.51 (mult(mult(b, a), mult(mult(mult(c, a), b), a)) = mult(mult(b, a), mult(mult(a, c), mult(b, a)))),
% 6.32/6.51 inference(monotonicity,[status(thm)],[14982])).
% 6.32/6.51 tff(14984,plain,
% 6.32/6.51 (mult(mult(b, a), mult(mult(a, c), mult(b, a))) = mult(mult(b, a), mult(mult(mult(c, a), b), a))),
% 6.32/6.51 inference(symmetry,[status(thm)],[14983])).
% 6.32/6.51 tff(14985,plain,
% 6.32/6.51 (mult(mult(b, a), mult(a, mult(b, mult(c, a)))) = mult(mult(b, a), mult(mult(a, c), mult(b, a)))),
% 6.32/6.51 inference(monotonicity,[status(thm)],[13818])).
% 6.32/6.51 tff(14986,plain,
% 6.32/6.51 (mult(mult(a, b), mult(c, a)) = mult(a, mult(mult(c, a), b))),
% 6.32/6.51 inference(transitivity,[status(thm)],[2432, 13425, 2009, 2096])).
% 6.32/6.51 tff(14987,plain,
% 6.32/6.51 (mult(mult(mult(a, b), mult(c, a)), b) = mult(mult(a, mult(mult(c, a), b)), b)),
% 6.32/6.51 inference(monotonicity,[status(thm)],[14986])).
% 6.32/6.51 tff(14988,plain,
% 6.32/6.51 (mult(mult(a, mult(mult(c, a), b)), b) = mult(mult(mult(a, b), mult(c, a)), b)),
% 6.32/6.51 inference(symmetry,[status(thm)],[14987])).
% 6.32/6.51 tff(14989,plain,
% 6.32/6.51 (mult(a, mult(mult(c, a), b)) = mult(mult(b, a), mult(a, c))),
% 6.32/6.51 inference(transitivity,[status(thm)],[352, 2010, 2150, 11988, 14073, 13582, 4657, 5731])).
% 6.32/6.51 tff(14990,plain,
% 6.32/6.51 (mult(mult(a, mult(mult(c, a), b)), b) = mult(mult(mult(b, a), mult(a, c)), b)),
% 6.32/6.51 inference(monotonicity,[status(thm)],[14989])).
% 6.32/6.51 tff(14991,plain,
% 6.32/6.51 (mult(mult(mult(b, a), mult(a, c)), b) = mult(mult(a, mult(mult(c, a), b)), b)),
% 6.32/6.51 inference(symmetry,[status(thm)],[14990])).
% 6.32/6.51 tff(14992,assumption,(mult(mult(mult(b, a), mult(b, mult(c, a))), a) = mult(mult(b, a), mult(a, mult(b, mult(c, a))))), introduced(assumption)).
% 6.32/6.51 tff(14993,plain,
% 6.32/6.51 (mult(mult(mult(b, a), mult(b, mult(c, a))), a) = mult(mult(mult(mult(b, a), mult(a, c)), b), a)),
% 6.32/6.51 inference(transitivity,[status(thm)],[14992, 14985, 11412, 10925])).
% 6.32/6.51 tff(14994,plain,
% 6.32/6.51 (rd(mult(mult(mult(b, a), mult(b, mult(c, a))), a), a) = rd(mult(mult(mult(mult(b, a), mult(a, c)), b), a), a)),
% 6.32/6.51 inference(monotonicity,[status(thm)],[14993])).
% 6.32/6.51 tff(14995,plain,
% 6.32/6.51 (mult(mult(b, a), mult(b, mult(c, a))) = mult(mult(a, b), mult(b, mult(c, a)))),
% 6.32/6.51 inference(transitivity,[status(thm)],[14272, 14994, 7854, 14991, 14988, 11829, 14415])).
% 6.32/6.51 tff(14996,plain,
% 6.32/6.51 (rd(mult(mult(b, a), mult(b, mult(c, a))), mult(b, mult(c, a))) = rd(mult(mult(a, b), mult(b, mult(c, a))), mult(b, mult(c, a)))),
% 6.32/6.51 inference(monotonicity,[status(thm)],[14995])).
% 6.32/6.51 tff(14997,plain,
% 6.32/6.51 (rd(mult(mult(a, b), mult(b, mult(c, a))), mult(b, mult(c, a))) = rd(mult(mult(b, a), mult(b, mult(c, a))), mult(b, mult(c, a)))),
% 6.32/6.51 inference(symmetry,[status(thm)],[14996])).
% 6.32/6.51 tff(14998,plain,
% 6.32/6.51 (mult(a, b) = mult(b, a)),
% 6.32/6.51 inference(transitivity,[status(thm)],[13759, 14997, 13730])).
% 6.32/6.51 tff(14999,plain,
% 6.32/6.51 ($false),
% 6.32/6.51 inference(unit_resolution,[status(thm)],[1, 14998])).
% 6.32/6.51 tff(15000,plain,((~(mult(mult(a, b), mult(b, mult(c, a))) = mult(a, mult(mult(b, mult(c, a)), b)))) | (mult(a, b) = mult(b, a)) | (~(mult(mult(mult(b, a), mult(b, mult(c, a))), a) = mult(mult(b, a), mult(a, mult(b, mult(c, a)))))) | (~(mult(mult(mult(b, a), mult(a, c)), mult(b, a)) = mult(mult(b, a), mult(mult(a, c), mult(b, a))))) | (~(mult(mult(mult(mult(b, a), mult(a, c)), b), a) = mult(mult(mult(b, a), mult(a, c)), mult(b, a)))) | (~(mult(mult(a, c), mult(b, a)) = mult(a, mult(mult(b, a), c)))) | (~(mult(mult(a, mult(b, a)), c) = mult(a, mult(c, mult(b, a))))) | (~(mult(mult(mult(b, a), c), a) = mult(mult(b, a), mult(a, c)))) | (~(mult(mult(a, a), mult(b, mult(c, a))) = mult(a, mult(mult(b, mult(c, a)), a)))) | (~(mult(mult(mult(a, a), b), mult(c, a)) = mult(mult(a, a), mult(b, mult(c, a))))) | (~(mult(mult(a, mult(a, b)), mult(c, a)) = mult(a, mult(mult(a, b), mult(c, a))))) | (~(mult(mult(a, a), b) = mult(a, mult(a, b)))) | (~(mult(mult(mult(a, b), a), c) = mult(mult(a, b), mult(c, a)))) | (~(mult(mult(a, b), a) = mult(a, mult(b, a)))) | (~(mult(mult(c, a), b) = mult(c, mult(b, a))))), inference(lemma,lemma(discharge,[]))).
% 6.32/6.51 tff(15001,plain,
% 6.32/6.51 ((~(mult(mult(a, b), mult(b, mult(c, a))) = mult(a, mult(mult(b, mult(c, a)), b)))) | (mult(a, b) = mult(b, a)) | (~(mult(mult(mult(b, a), mult(b, mult(c, a))), a) = mult(mult(b, a), mult(a, mult(b, mult(c, a)))))) | (~(mult(mult(mult(b, a), mult(a, c)), mult(b, a)) = mult(mult(b, a), mult(mult(a, c), mult(b, a))))) | (~(mult(mult(mult(mult(b, a), mult(a, c)), b), a) = mult(mult(mult(b, a), mult(a, c)), mult(b, a)))) | (~(mult(mult(a, c), mult(b, a)) = mult(a, mult(mult(b, a), c)))) | (~(mult(mult(a, mult(b, a)), c) = mult(a, mult(c, mult(b, a))))) | (~(mult(mult(mult(b, a), c), a) = mult(mult(b, a), mult(a, c)))) | (~(mult(mult(a, a), mult(b, mult(c, a))) = mult(a, mult(mult(b, mult(c, a)), a)))) | (~(mult(mult(mult(a, a), b), mult(c, a)) = mult(mult(a, a), mult(b, mult(c, a))))) | (~(mult(mult(a, mult(a, b)), mult(c, a)) = mult(a, mult(mult(a, b), mult(c, a))))) | (~(mult(mult(mult(a, b), a), c) = mult(mult(a, b), mult(c, a)))) | (~(mult(mult(a, b), a) = mult(a, mult(b, a)))) | (~(mult(mult(c, a), b) = mult(c, mult(b, a))))),
% 6.32/6.51 inference(unit_resolution,[status(thm)],[15000, 4190])).
% 6.32/6.51 tff(15002,plain,
% 6.32/6.51 ((~(mult(mult(a, b), mult(b, mult(c, a))) = mult(a, mult(mult(b, mult(c, a)), b)))) | (mult(a, b) = mult(b, a)) | (~(mult(mult(mult(b, a), mult(b, mult(c, a))), a) = mult(mult(b, a), mult(a, mult(b, mult(c, a)))))) | (~(mult(mult(mult(b, a), mult(a, c)), mult(b, a)) = mult(mult(b, a), mult(mult(a, c), mult(b, a))))) | (~(mult(mult(mult(mult(b, a), mult(a, c)), b), a) = mult(mult(mult(b, a), mult(a, c)), mult(b, a)))) | (~(mult(mult(a, c), mult(b, a)) = mult(a, mult(mult(b, a), c)))) | (~(mult(mult(a, mult(b, a)), c) = mult(a, mult(c, mult(b, a))))) | (~(mult(mult(a, a), mult(b, mult(c, a))) = mult(a, mult(mult(b, mult(c, a)), a)))) | (~(mult(mult(mult(a, a), b), mult(c, a)) = mult(mult(a, a), mult(b, mult(c, a))))) | (~(mult(mult(a, mult(a, b)), mult(c, a)) = mult(a, mult(mult(a, b), mult(c, a))))) | (~(mult(mult(mult(a, b), a), c) = mult(mult(a, b), mult(c, a)))) | (~(mult(mult(c, a), b) = mult(c, mult(b, a))))),
% 6.32/6.51 inference(unit_resolution,[status(thm)],[15001, 3530, 4193])).
% 6.32/6.51 tff(15003,plain,
% 6.32/6.51 ((~(mult(mult(a, b), mult(b, mult(c, a))) = mult(a, mult(mult(b, mult(c, a)), b)))) | (mult(a, b) = mult(b, a)) | (~(mult(mult(mult(b, a), mult(b, mult(c, a))), a) = mult(mult(b, a), mult(a, mult(b, mult(c, a)))))) | (~(mult(mult(mult(b, a), mult(a, c)), mult(b, a)) = mult(mult(b, a), mult(mult(a, c), mult(b, a))))) | (~(mult(mult(mult(mult(b, a), mult(a, c)), b), a) = mult(mult(mult(b, a), mult(a, c)), mult(b, a)))) | (~(mult(mult(a, c), mult(b, a)) = mult(a, mult(mult(b, a), c)))) | (~(mult(mult(a, mult(b, a)), c) = mult(a, mult(c, mult(b, a))))) | (~(mult(mult(a, a), mult(b, mult(c, a))) = mult(a, mult(mult(b, mult(c, a)), a)))) | (~(mult(mult(mult(a, a), b), mult(c, a)) = mult(mult(a, a), mult(b, mult(c, a))))) | (~(mult(mult(a, mult(a, b)), mult(c, a)) = mult(a, mult(mult(a, b), mult(c, a))))) | (~(mult(mult(c, a), b) = mult(c, mult(b, a))))),
% 6.32/6.51 inference(unit_resolution,[status(thm)],[15002, 9222])).
% 6.32/6.51 tff(15004,plain,
% 6.32/6.51 (~(mult(mult(mult(b, a), mult(b, mult(c, a))), a) = mult(mult(b, a), mult(a, mult(b, mult(c, a)))))),
% 6.32/6.51 inference(unit_resolution,[status(thm)],[15003, 11152, 342, 160, 13754, 7850, 2009, 14069, 13690, 10903, 1])).
% 6.32/6.51 tff(15005,plain,
% 6.32/6.51 (((~(mult(mult(mult(b, a), a), mult(b, mult(c, a))) = mult(mult(b, a), mult(mult(b, mult(c, a)), a)))) | (~(mult(mult(mult(b, a), mult(b, mult(c, a))), a) = mult(mult(b, a), mult(a, mult(b, mult(c, a))))))) | (mult(mult(mult(b, a), mult(b, mult(c, a))), a) = mult(mult(b, a), mult(a, mult(b, mult(c, a)))))),
% 6.32/6.51 inference(tautology,[status(thm)],[])).
% 6.32/6.51 tff(15006,plain,
% 6.32/6.51 ((~(mult(mult(mult(b, a), a), mult(b, mult(c, a))) = mult(mult(b, a), mult(mult(b, mult(c, a)), a)))) | (~(mult(mult(mult(b, a), mult(b, mult(c, a))), a) = mult(mult(b, a), mult(a, mult(b, mult(c, a))))))),
% 6.32/6.51 inference(unit_resolution,[status(thm)],[15005, 15004])).
% 6.32/6.51 tff(15007,plain,
% 6.32/6.51 (~((~(mult(mult(mult(b, a), a), mult(b, mult(c, a))) = mult(mult(b, a), mult(a, mult(b, mult(c, a)))))) | (~(mult(mult(mult(b, a), mult(b, mult(c, a))), a) = mult(mult(b, a), mult(mult(b, mult(c, a)), a)))))),
% 6.32/6.51 inference(unit_resolution,[status(thm)],[14262, 30, 15006])).
% 6.32/6.51 tff(15008,plain,
% 6.32/6.51 (((~(mult(mult(mult(b, a), a), mult(b, mult(c, a))) = mult(mult(b, a), mult(a, mult(b, mult(c, a)))))) | (~(mult(mult(mult(b, a), mult(b, mult(c, a))), a) = mult(mult(b, a), mult(mult(b, mult(c, a)), a))))) | (mult(mult(mult(b, a), a), mult(b, mult(c, a))) = mult(mult(b, a), mult(a, mult(b, mult(c, a)))))),
% 6.32/6.51 inference(tautology,[status(thm)],[])).
% 6.32/6.51 tff(15009,plain,
% 6.32/6.51 (mult(mult(mult(b, a), a), mult(b, mult(c, a))) = mult(mult(b, a), mult(a, mult(b, mult(c, a))))),
% 6.32/6.51 inference(unit_resolution,[status(thm)],[15008, 15007])).
% 6.32/6.51 tff(15010,plain,
% 6.32/6.51 (mult(mult(mult(b, a), a), mult(b, mult(c, a))) = mult(mult(mult(b, a), a), mult(mult(c, a), b))),
% 6.32/6.51 inference(transitivity,[status(thm)],[15009, 14985, 14984, 14978])).
% 6.32/6.51 tff(15011,plain,
% 6.32/6.51 (ld(mult(mult(b, a), a), mult(mult(mult(b, a), a), mult(b, mult(c, a)))) = ld(mult(mult(b, a), a), mult(mult(mult(b, a), a), mult(mult(c, a), b)))),
% 6.32/6.51 inference(monotonicity,[status(thm)],[15010])).
% 6.32/6.51 tff(15012,plain,
% 6.32/6.51 ((~![B: $i, A: $i] : (ld(A, mult(A, B)) = B)) | (ld(mult(mult(b, a), a), mult(mult(mult(b, a), a), mult(b, mult(c, a)))) = mult(b, mult(c, a)))),
% 6.32/6.51 inference(quant_inst,[status(thm)],[])).
% 6.32/6.51 tff(15013,plain,
% 6.32/6.51 (ld(mult(mult(b, a), a), mult(mult(mult(b, a), a), mult(b, mult(c, a)))) = mult(b, mult(c, a))),
% 6.32/6.51 inference(unit_resolution,[status(thm)],[15012, 9])).
% 6.32/6.51 tff(15014,plain,
% 6.32/6.51 (mult(b, mult(c, a)) = ld(mult(mult(b, a), a), mult(mult(mult(b, a), a), mult(b, mult(c, a))))),
% 6.32/6.51 inference(symmetry,[status(thm)],[15013])).
% 6.32/6.51 tff(15015,plain,
% 6.32/6.51 (mult(b, mult(c, a)) = mult(mult(c, a), b)),
% 6.32/6.51 inference(transitivity,[status(thm)],[15014, 15011, 14972])).
% 6.32/6.51 tff(15016,plain,
% 6.32/6.51 ($false),
% 6.32/6.51 inference(unit_resolution,[status(thm)],[14970, 15015])).
% 6.32/6.51 tff(15017,plain,((mult(mult(mult(b, a), mult(a, c)), mult(b, a)) = mult(mult(b, a), mult(mult(b, a), mult(a, c)))) | (mult(b, mult(c, a)) = mult(mult(c, a), b)) | (~(mult(mult(a, c), mult(mult(a, b), a)) = mult(a, mult(c, mult(mult(a, b), a))))) | (~(mult(mult(a, mult(b, mult(c, a))), a) = mult(a, mult(a, mult(b, mult(c, a)))))) | (~(mult(mult(a, c), mult(b, a)) = mult(a, mult(mult(b, a), c)))) | (~(mult(mult(c, a), b) = mult(c, mult(b, a)))) | (~(mult(mult(a, b), mult(b, mult(c, a))) = mult(a, mult(mult(b, mult(c, a)), b)))) | (~(mult(mult(mult(mult(b, a), mult(a, c)), b), a) = mult(mult(mult(b, a), mult(a, c)), mult(b, a)))) | (~(mult(mult(a, mult(b, a)), c) = mult(a, mult(c, mult(b, a))))) | (~(mult(mult(a, a), mult(b, mult(c, a))) = mult(a, mult(mult(b, mult(c, a)), a)))) | (~(mult(mult(mult(a, a), b), mult(c, a)) = mult(mult(a, a), mult(b, mult(c, a))))) | (~(mult(mult(a, mult(a, b)), mult(c, a)) = mult(a, mult(mult(a, b), mult(c, a))))) | (mult(a, b) = mult(b, a)) | (~(mult(mult(mult(a, c), a), b) = mult(mult(a, c), mult(b, a)))) | (~(mult(mult(a, mult(mult(c, a), b)), a) = mult(a, mult(a, mult(mult(c, a), b)))))), inference(lemma,lemma(discharge,[]))).
% 6.32/6.51 tff(15018,plain,
% 6.32/6.51 (mult(mult(mult(b, a), mult(a, c)), mult(b, a)) = mult(mult(b, a), mult(mult(b, a), mult(a, c)))),
% 6.32/6.51 inference(unit_resolution,[status(thm)],[15017, 11839, 10783, 11969, 13275, 342, 13754, 14970, 2009, 14069, 14969, 10903, 1, 1362, 14057])).
% 6.32/6.51 tff(15019,plain,
% 6.32/6.51 (mult(mult(mult(b, a), c), mult(mult(a, b), a)) = mult(mult(b, a), mult(mult(mult(a, b), a), c))),
% 6.32/6.51 inference(modus_ponens,[status(thm)],[15018, 14965])).
% 6.32/6.51 tff(15020,plain,
% 6.32/6.51 (mult(mult(b, a), mult(mult(mult(a, b), a), c)) = mult(b, mult(mult(mult(mult(a, b), a), c), a))),
% 6.32/6.51 inference(unit_resolution,[status(thm)],[13195, 15019, 11249, 12437, 12683, 11017, 11839, 15018])).
% 6.32/6.51 tff(15021,assumption,(mult(mult(mult(mult(b, a), mult(a, c)), a), b) = mult(mult(mult(b, a), mult(a, c)), mult(a, b))), introduced(assumption)).
% 6.32/6.51 tff(15022,plain,
% 6.32/6.51 (mult(mult(mult(b, a), mult(a, c)), mult(a, b)) = mult(mult(mult(mult(b, a), mult(a, c)), a), b)),
% 6.32/6.51 inference(symmetry,[status(thm)],[15021])).
% 6.32/6.51 tff(15023,plain,
% 6.32/6.51 (mult(b, mult(mult(mult(mult(a, b), a), c), a)) = mult(mult(mult(mult(b, a), mult(a, c)), a), b)),
% 6.32/6.51 inference(transitivity,[status(thm)],[11581, 12697, 11585, 15022])).
% 6.32/6.51 tff(15024,plain,
% 6.32/6.51 ((mult(mult(b, a), mult(mult(mult(a, b), a), c)) = mult(b, mult(mult(mult(mult(a, b), a), c), a))) <=> (mult(mult(mult(b, a), mult(a, c)), mult(b, a)) = mult(mult(mult(mult(b, a), mult(a, c)), a), b))),
% 6.32/6.51 inference(monotonicity,[status(thm)],[13231, 15023])).
% 6.32/6.51 tff(15025,plain,
% 6.32/6.51 ((mult(mult(b, a), mult(mult(mult(a, b), a), c)) = mult(b, mult(mult(mult(mult(a, b), a), c), a))) <=> (mult(mult(mult(mult(b, a), mult(a, c)), a), b) = mult(mult(mult(b, a), mult(a, c)), mult(b, a)))),
% 6.32/6.51 inference(transitivity,[status(thm)],[15024, 14954])).
% 6.32/6.51 tff(15026,plain,
% 6.32/6.51 ((mult(mult(mult(mult(b, a), mult(a, c)), a), b) = mult(mult(mult(b, a), mult(a, c)), mult(b, a))) <=> (mult(mult(b, a), mult(mult(mult(a, b), a), c)) = mult(b, mult(mult(mult(mult(a, b), a), c), a)))),
% 6.32/6.51 inference(symmetry,[status(thm)],[15025])).
% 6.32/6.51 tff(15027,plain,
% 6.32/6.51 ((~(mult(mult(mult(mult(b, a), mult(a, c)), a), b) = mult(mult(mult(b, a), mult(a, c)), mult(b, a)))) <=> (~(mult(mult(b, a), mult(mult(mult(a, b), a), c)) = mult(b, mult(mult(mult(mult(a, b), a), c), a))))),
% 6.32/6.51 inference(monotonicity,[status(thm)],[15026])).
% 6.32/6.51 tff(15028,plain,
% 6.32/6.51 (~(mult(mult(b, a), mult(mult(mult(a, b), a), c)) = mult(b, mult(mult(mult(mult(a, b), a), c), a)))),
% 6.32/6.51 inference(modus_ponens,[status(thm)],[8394, 15027])).
% 6.32/6.52 tff(15029,plain,
% 6.32/6.52 ($false),
% 6.32/6.52 inference(unit_resolution,[status(thm)],[13204, 15028])).
% 6.32/6.52 tff(15030,plain,((~(mult(mult(b, mult(mult(a, c), a)), mult(a, b)) = mult(b, mult(mult(a, b), mult(mult(a, c), a))))) | (~(mult(mult(b, a), mult(mult(mult(a, b), a), c)) = mult(b, mult(mult(mult(mult(a, b), a), c), a)))) | (mult(mult(mult(mult(b, a), mult(a, c)), a), b) = mult(mult(mult(b, a), mult(a, c)), mult(b, a))) | (~(mult(mult(mult(mult(b, a), mult(a, c)), a), b) = mult(mult(mult(b, a), mult(a, c)), mult(a, b)))) | (~(mult(mult(mult(b, a), c), mult(mult(a, b), a)) = mult(mult(b, a), mult(mult(mult(a, b), a), c)))) | (~(mult(mult(mult(b, mult(c, a)), a), mult(b, a)) = mult(mult(b, mult(c, a)), mult(a, mult(b, a)))))), inference(lemma,lemma(discharge,[]))).
% 6.32/6.52 tff(15031,plain,
% 6.32/6.52 (~(mult(mult(b, mult(mult(a, c), a)), mult(a, b)) = mult(b, mult(mult(a, b), mult(mult(a, c), a))))),
% 6.32/6.52 inference(unit_resolution,[status(thm)],[15030, 15020, 11131, 8394, 8398, 15019])).
% 6.32/6.52 tff(15032,plain,
% 6.32/6.52 ((~(mult(mult(b, mult(a, b)), mult(mult(a, c), a)) = mult(b, mult(mult(mult(a, c), a), mult(a, b))))) | (~(mult(mult(b, mult(mult(a, c), a)), mult(a, b)) = mult(b, mult(mult(a, b), mult(mult(a, c), a)))))),
% 6.32/6.52 inference(unit_resolution,[status(thm)],[11530, 15031])).
% 6.32/6.52 tff(15033,plain,
% 6.32/6.52 (~((~(mult(mult(b, mult(a, b)), mult(mult(a, c), a)) = mult(b, mult(mult(a, b), mult(mult(a, c), a))))) | (~(mult(mult(b, mult(mult(a, c), a)), mult(a, b)) = mult(b, mult(mult(mult(a, c), a), mult(a, b))))))),
% 6.32/6.52 inference(unit_resolution,[status(thm)],[11528, 15032])).
% 6.32/6.52 tff(15034,plain,
% 6.32/6.52 (mult(mult(b, mult(mult(a, c), a)), mult(a, b)) = mult(b, mult(mult(mult(a, c), a), mult(a, b)))),
% 6.32/6.52 inference(unit_resolution,[status(thm)],[11520, 15033])).
% 6.32/6.52 tff(15035,plain,
% 6.32/6.52 (mult(b, mult(mult(mult(a, c), a), mult(a, b))) = mult(mult(b, mult(mult(a, c), a)), mult(a, b))),
% 6.32/6.52 inference(symmetry,[status(thm)],[15034])).
% 6.32/6.52 tff(15036,assumption,(mult(mult(a, a), mult(mult(c, a), b)) = mult(a, mult(mult(mult(c, a), b), a))), introduced(assumption)).
% 6.32/6.52 tff(15037,assumption,(mult(mult(mult(a, a), c), mult(b, a)) = mult(mult(a, a), mult(c, mult(b, a)))), introduced(assumption)).
% 6.32/6.52 tff(15038,plain,
% 6.32/6.52 (mult(mult(a, mult(a, c)), mult(b, a)) = mult(mult(mult(a, a), c), mult(b, a))),
% 6.32/6.52 inference(symmetry,[status(thm)],[11082])).
% 6.32/6.52 tff(15039,assumption,(mult(mult(a, mult(a, c)), mult(b, a)) = mult(a, mult(mult(a, c), mult(b, a)))), introduced(assumption)).
% 6.32/6.52 tff(15040,plain,
% 6.32/6.52 (mult(a, mult(mult(a, c), mult(b, a))) = mult(mult(a, mult(a, c)), mult(b, a))),
% 6.32/6.52 inference(symmetry,[status(thm)],[15039])).
% 6.32/6.52 tff(15041,plain,
% 6.32/6.52 (mult(a, mult(b, mult(c, a))) = mult(mult(a, c), mult(b, a))),
% 6.32/6.52 inference(transitivity,[status(thm)],[1737, 8214, 1362])).
% 6.32/6.52 tff(15042,plain,
% 6.32/6.52 (mult(a, mult(a, mult(b, mult(c, a)))) = mult(a, mult(mult(a, c), mult(b, a)))),
% 6.32/6.52 inference(monotonicity,[status(thm)],[15041])).
% 6.32/6.52 tff(15043,plain,
% 6.32/6.52 (mult(mult(mult(a, c), mult(b, a)), a) = mult(mult(a, mult(b, mult(c, a))), a)),
% 6.32/6.52 inference(monotonicity,[status(thm)],[13448])).
% 6.32/6.52 tff(15044,plain,
% 6.32/6.52 (mult(mult(mult(a, c), mult(b, a)), a) = mult(mult(mult(a, c), a), mult(a, b))),
% 6.32/6.52 inference(transitivity,[status(thm)],[15043, 11969, 15042, 15040, 15038, 15037, 13529, 15036, 11036, 11035, 11171])).
% 6.32/6.52 tff(15045,plain,
% 6.32/6.52 (mult(b, mult(mult(mult(a, c), mult(b, a)), a)) = mult(b, mult(mult(mult(a, c), a), mult(a, b)))),
% 6.32/6.52 inference(monotonicity,[status(thm)],[15044])).
% 6.32/6.52 tff(15046,plain,
% 6.32/6.52 (mult(mult(a, mult(b, mult(c, a))), a) = mult(mult(mult(a, c), mult(b, a)), a)),
% 6.32/6.52 inference(symmetry,[status(thm)],[15043])).
% 6.32/6.52 tff(15047,plain,
% 6.32/6.52 (mult(b, mult(mult(a, mult(b, mult(c, a))), a)) = mult(b, mult(mult(mult(a, c), mult(b, a)), a))),
% 6.32/6.52 inference(monotonicity,[status(thm)],[15046])).
% 6.32/6.52 tff(15048,plain,
% 6.32/6.52 (mult(mult(b, mult(a, b)), mult(mult(a, c), a)) = mult(b, mult(mult(a, b), mult(mult(a, c), a)))),
% 6.32/6.52 inference(unit_resolution,[status(thm)],[12775, 15033])).
% 6.32/6.52 tff(15049,plain,
% 6.32/6.52 (mult(mult(b, a), mult(mult(b, a), mult(a, c))) = mult(mult(b, a), mult(mult(mult(a, b), a), c))),
% 6.32/6.52 inference(symmetry,[status(thm)],[14962])).
% 6.32/6.52 tff(15050,plain,
% 6.32/6.52 (mult(mult(b, a), mult(b, mult(mult(a, c), a))) = mult(mult(b, a), mult(mult(mult(a, b), a), c))),
% 6.32/6.52 inference(transitivity,[status(thm)],[12203, 15049])).
% 6.32/6.52 tff(15051,plain,
% 6.32/6.52 (mult(mult(mult(b, a), b), mult(mult(a, c), a)) = mult(b, mult(mult(mult(mult(a, b), a), c), a))),
% 6.32/6.52 inference(transitivity,[status(thm)],[11623, 15048, 11533])).
% 6.32/6.52 tff(15052,plain,
% 6.32/6.52 ((mult(mult(mult(b, a), b), mult(mult(a, c), a)) = mult(mult(b, a), mult(b, mult(mult(a, c), a)))) <=> (mult(b, mult(mult(mult(mult(a, b), a), c), a)) = mult(mult(b, a), mult(mult(mult(a, b), a), c)))),
% 6.32/6.52 inference(monotonicity,[status(thm)],[15051, 15050])).
% 6.32/6.52 tff(15053,plain,
% 6.32/6.52 ((mult(mult(mult(b, a), b), mult(mult(a, c), a)) = mult(mult(b, a), mult(b, mult(mult(a, c), a)))) <=> (mult(mult(b, a), mult(mult(mult(a, b), a), c)) = mult(b, mult(mult(mult(mult(a, b), a), c), a)))),
% 6.32/6.52 inference(transitivity,[status(thm)],[15052, 13198])).
% 6.32/6.52 tff(15054,plain,
% 6.32/6.52 ((mult(mult(b, a), mult(mult(mult(a, b), a), c)) = mult(b, mult(mult(mult(mult(a, b), a), c), a))) <=> (mult(mult(mult(b, a), b), mult(mult(a, c), a)) = mult(mult(b, a), mult(b, mult(mult(a, c), a))))),
% 6.32/6.52 inference(symmetry,[status(thm)],[15053])).
% 6.32/6.52 tff(15055,plain,
% 6.32/6.52 (mult(mult(mult(b, a), b), mult(mult(a, c), a)) = mult(mult(b, a), mult(b, mult(mult(a, c), a)))),
% 6.32/6.52 inference(modus_ponens,[status(thm)],[15020, 15054])).
% 6.32/6.52 tff(15056,plain,
% 6.32/6.52 (~(mult(mult(b, mult(a, c)), mult(mult(a, b), a)) = mult(b, mult(mult(mult(a, b), a), mult(a, c))))),
% 6.32/6.52 inference(unit_resolution,[status(thm)],[13210, 15055, 3450, 11131, 15018, 15048, 11026, 11017])).
% 6.32/6.52 tff(15057,plain,
% 6.32/6.52 ((~(mult(mult(b, mult(a, c)), mult(mult(a, b), a)) = mult(b, mult(mult(mult(a, b), a), mult(a, c))))) | (~(mult(mult(b, mult(mult(a, b), a)), mult(a, c)) = mult(b, mult(mult(a, c), mult(mult(a, b), a)))))),
% 6.32/6.52 inference(unit_resolution,[status(thm)],[12060, 15056])).
% 6.32/6.52 tff(15058,plain,
% 6.32/6.52 (~((~(mult(mult(b, mult(a, c)), mult(mult(a, b), a)) = mult(b, mult(mult(a, c), mult(mult(a, b), a))))) | (~(mult(mult(b, mult(mult(a, b), a)), mult(a, c)) = mult(b, mult(mult(mult(a, b), a), mult(a, c))))))),
% 6.32/6.52 inference(unit_resolution,[status(thm)],[11195, 15057])).
% 6.32/6.52 tff(15059,plain,
% 6.32/6.52 (mult(mult(b, mult(mult(a, b), a)), mult(a, c)) = mult(b, mult(mult(mult(a, b), a), mult(a, c)))),
% 6.32/6.52 inference(unit_resolution,[status(thm)],[11543, 15058])).
% 6.32/6.52 tff(15060,plain,
% 6.32/6.52 (mult(mult(mult(b, a), mult(a, c)), mult(b, a)) = mult(mult(b, a), mult(mult(a, c), mult(b, a)))),
% 6.32/6.52 inference(unit_resolution,[status(thm)],[13237, 15059, 11131, 11025, 11017, 15019, 15020])).
% 6.32/6.52 tff(15061,plain,
% 6.32/6.52 (~(mult(mult(mult(b, a), mult(b, mult(c, a))), a) = mult(mult(b, a), mult(a, mult(b, mult(c, a)))))),
% 6.32/6.52 inference(unit_resolution,[status(thm)],[15003, 15060, 342, 13275, 13754, 11839, 2009, 14069, 14969, 10903, 1])).
% 6.32/6.52 tff(15062,plain,
% 6.32/6.52 ((~(mult(mult(mult(b, a), a), mult(b, mult(c, a))) = mult(mult(b, a), mult(mult(b, mult(c, a)), a)))) | (~(mult(mult(mult(b, a), mult(b, mult(c, a))), a) = mult(mult(b, a), mult(a, mult(b, mult(c, a))))))),
% 6.32/6.52 inference(unit_resolution,[status(thm)],[15005, 15061])).
% 6.32/6.52 tff(15063,plain,
% 6.32/6.52 (~((~(mult(mult(mult(b, a), a), mult(b, mult(c, a))) = mult(mult(b, a), mult(a, mult(b, mult(c, a)))))) | (~(mult(mult(mult(b, a), mult(b, mult(c, a))), a) = mult(mult(b, a), mult(mult(b, mult(c, a)), a)))))),
% 6.32/6.52 inference(unit_resolution,[status(thm)],[14263, 15062])).
% 6.32/6.52 tff(15064,plain,
% 6.32/6.52 (mult(mult(mult(b, a), mult(b, mult(c, a))), a) = mult(mult(b, a), mult(mult(b, mult(c, a)), a))),
% 6.32/6.52 inference(unit_resolution,[status(thm)],[14251, 15063])).
% 6.32/6.52 tff(15065,plain,
% 6.32/6.52 (mult(mult(b, a), mult(mult(b, mult(c, a)), a)) = mult(mult(mult(b, a), mult(b, mult(c, a))), a)),
% 6.32/6.52 inference(symmetry,[status(thm)],[15064])).
% 6.32/6.52 tff(15066,plain,
% 6.32/6.52 (mult(mult(b, a), mult(mult(b, a), mult(a, c))) = mult(mult(b, a), mult(mult(b, mult(c, a)), a))),
% 6.32/6.52 inference(monotonicity,[status(thm)],[13948])).
% 6.32/6.52 tff(15067,plain,
% 6.32/6.52 (mult(mult(b, a), mult(mult(b, a), mult(a, c))) = mult(mult(mult(mult(b, a), mult(a, c)), a), b)),
% 6.32/6.52 inference(transitivity,[status(thm)],[15066, 15065, 13746, 15047, 15045, 15035, 11585, 14955])).
% 6.32/6.52 tff(15068,plain,
% 6.32/6.52 ((mult(mult(mult(b, a), mult(a, c)), mult(b, a)) = mult(mult(b, a), mult(mult(b, a), mult(a, c)))) <=> (mult(mult(mult(b, a), mult(a, c)), mult(b, a)) = mult(mult(mult(mult(b, a), mult(a, c)), a), b))),
% 6.32/6.52 inference(monotonicity,[status(thm)],[15067])).
% 6.32/6.52 tff(15069,plain,
% 6.32/6.52 ((mult(mult(mult(b, a), mult(a, c)), mult(b, a)) = mult(mult(b, a), mult(mult(b, a), mult(a, c)))) <=> (mult(mult(mult(mult(b, a), mult(a, c)), a), b) = mult(mult(mult(b, a), mult(a, c)), mult(b, a)))),
% 6.32/6.52 inference(transitivity,[status(thm)],[15068, 14954])).
% 6.32/6.52 tff(15070,plain,
% 6.32/6.52 ((mult(mult(mult(mult(b, a), mult(a, c)), a), b) = mult(mult(mult(b, a), mult(a, c)), mult(b, a))) <=> (mult(mult(mult(b, a), mult(a, c)), mult(b, a)) = mult(mult(b, a), mult(mult(b, a), mult(a, c))))),
% 6.32/6.52 inference(symmetry,[status(thm)],[15069])).
% 6.32/6.52 tff(15071,plain,
% 6.32/6.52 ((~(mult(mult(mult(mult(b, a), mult(a, c)), a), b) = mult(mult(mult(b, a), mult(a, c)), mult(b, a)))) <=> (~(mult(mult(mult(b, a), mult(a, c)), mult(b, a)) = mult(mult(b, a), mult(mult(b, a), mult(a, c)))))),
% 6.32/6.52 inference(monotonicity,[status(thm)],[15070])).
% 6.32/6.52 tff(15072,plain,
% 6.32/6.52 (~(mult(mult(mult(b, a), mult(a, c)), mult(b, a)) = mult(mult(b, a), mult(mult(b, a), mult(a, c))))),
% 6.32/6.52 inference(modus_ponens,[status(thm)],[8394, 15071])).
% 6.32/6.52 tff(15073,plain,
% 6.32/6.52 ($false),
% 6.32/6.52 inference(unit_resolution,[status(thm)],[15018, 15072])).
% 6.32/6.52 tff(15074,plain,((mult(mult(mult(mult(b, a), mult(a, c)), a), b) = mult(mult(mult(b, a), mult(a, c)), mult(b, a))) | (~(mult(mult(a, mult(b, mult(c, a))), a) = mult(a, mult(a, mult(b, mult(c, a)))))) | (~(mult(mult(mult(a, c), a), mult(a, b)) = mult(mult(a, c), mult(mult(a, b), a)))) | (~(mult(mult(a, c), mult(mult(a, b), a)) = mult(a, mult(c, mult(mult(a, b), a))))) | (~(mult(mult(a, a), mult(mult(c, a), b)) = mult(a, mult(mult(mult(c, a), b), a)))) | (~(mult(mult(mult(a, a), c), mult(b, a)) = mult(mult(a, a), mult(c, mult(b, a))))) | (~(mult(mult(a, mult(a, c)), mult(b, a)) = mult(a, mult(mult(a, c), mult(b, a))))) | (~(mult(mult(a, mult(a, c)), b) = mult(a, mult(mult(a, c), b)))) | (~(mult(mult(mult(a, a), c), b) = mult(mult(a, a), mult(c, b)))) | (~(mult(mult(c, a), b) = mult(c, mult(b, a)))) | (~(mult(mult(a, mult(c, a)), b) = mult(a, mult(b, mult(c, a))))) | (~(mult(mult(mult(a, c), a), b) = mult(mult(a, c), mult(b, a)))) | (~(mult(mult(a, b), mult(b, mult(c, a))) = mult(a, mult(mult(b, mult(c, a)), b)))) | (~(mult(mult(a, mult(b, a)), c) = mult(a, mult(c, mult(b, a))))) | (~(mult(mult(a, a), mult(b, mult(c, a))) = mult(a, mult(mult(b, mult(c, a)), a)))) | (~(mult(mult(a, mult(a, b)), mult(c, a)) = mult(a, mult(mult(a, b), mult(c, a))))) | (mult(a, b) = mult(b, a)) | (~(mult(mult(mult(b, mult(c, a)), a), mult(b, a)) = mult(mult(b, mult(c, a)), mult(a, mult(b, a))))) | (~(mult(mult(mult(b, a), b), a) = mult(mult(b, a), mult(b, a)))) | (~(mult(mult(mult(a, b), a), mult(a, c)) = mult(mult(a, b), mult(mult(a, c), a)))) | (mult(mult(b, c), a) = mult(b, mult(c, a))) | (~(mult(mult(b, mult(a, b)), a) = mult(b, mult(mult(a, b), a)))) | (~(mult(mult(mult(a, a), mult(b, a)), c) = mult(mult(a, a), mult(mult(b, a), c)))) | (~(mult(mult(a, a), mult(b, a)) = mult(a, mult(a, mult(b, a))))) | (~(mult(mult(a, mult(b, a)), mult(a, c)) = mult(a, mult(mult(b, a), mult(a, c))))) | (~(mult(mult(mult(mult(a, a), b), a), c) = mult(mult(mult(a, a), b), mult(c, a)))) | (mult(b, mult(c, a)) = mult(mult(c, a), b)) | (~(mult(mult(a, mult(mult(c, a), b)), a) = mult(a, mult(a, mult(mult(c, a), b)))))), inference(lemma,lemma(discharge,[]))).
% 6.32/6.52 tff(15075,plain,
% 6.32/6.52 (mult(mult(mult(mult(b, a), mult(a, c)), a), b) = mult(mult(mult(b, a), mult(a, c)), mult(b, a))),
% 6.32/6.52 inference(unit_resolution,[status(thm)],[15074, 13394, 6854, 13414, 14953, 14952, 14948, 11028, 13491, 342, 1736, 1362, 14947, 218, 13502, 14943, 1, 14939, 11025, 13459, 13538, 11026, 13534, 11024, 13490, 12437, 13457, 13446])).
% 6.32/6.52 tff(15076,plain,
% 6.32/6.52 (~(mult(mult(mult(mult(mult(a, c), mult(b, a)), mult(a, c)), a), b) = mult(mult(mult(mult(a, c), mult(b, a)), mult(a, c)), mult(b, a)))),
% 6.32/6.52 inference(unit_resolution,[status(thm)],[10972, 15075, 614])).
% 6.32/6.52 tff(15077,plain,
% 6.32/6.52 ((~(mult(mult(mult(mult(mult(a, c), mult(b, a)), mult(a, c)), b), a) = mult(mult(mult(mult(a, c), mult(b, a)), mult(a, c)), mult(a, b)))) | (~(mult(mult(mult(mult(mult(a, c), mult(b, a)), mult(a, c)), a), b) = mult(mult(mult(mult(a, c), mult(b, a)), mult(a, c)), mult(b, a))))),
% 6.32/6.52 inference(unit_resolution,[status(thm)],[10974, 15076])).
% 6.32/6.52 tff(15078,plain,
% 6.32/6.52 (~((~(mult(mult(mult(mult(mult(a, c), mult(b, a)), mult(a, c)), b), a) = mult(mult(mult(mult(a, c), mult(b, a)), mult(a, c)), mult(b, a)))) | (~(mult(mult(mult(mult(mult(a, c), mult(b, a)), mult(a, c)), a), b) = mult(mult(mult(mult(a, c), mult(b, a)), mult(a, c)), mult(a, b)))))),
% 6.32/6.52 inference(unit_resolution,[status(thm)],[6722, 15077])).
% 6.32/6.52 tff(15079,plain,
% 6.32/6.52 (mult(mult(mult(mult(mult(a, c), mult(b, a)), mult(a, c)), b), a) = mult(mult(mult(mult(a, c), mult(b, a)), mult(a, c)), mult(b, a))),
% 6.32/6.52 inference(unit_resolution,[status(thm)],[6724, 15078])).
% 6.32/6.52 tff(15080,plain,
% 6.32/6.52 (mult(mult(mult(mult(a, c), mult(b, a)), mult(a, c)), mult(b, a)) = mult(mult(mult(mult(mult(a, c), mult(b, a)), mult(a, c)), b), a)),
% 6.32/6.52 inference(symmetry,[status(thm)],[15079])).
% 6.32/6.52 tff(15081,plain,
% 6.32/6.52 (mult(mult(b, mult(c, a)), mult(a, mult(b, a))) = mult(mult(mult(b, mult(c, a)), a), mult(b, a))),
% 6.32/6.52 inference(symmetry,[status(thm)],[14939])).
% 6.32/6.52 tff(15082,plain,
% 6.32/6.52 (mult(mult(a, mult(mult(a, b), a)), c) = mult(a, mult(mult(mult(a, b), a), c))),
% 6.32/6.52 inference(unit_resolution,[status(thm)],[10858, 13414])).
% 6.32/6.52 tff(15083,plain,
% 6.32/6.52 (mult(a, mult(mult(mult(a, b), a), c)) = mult(mult(a, mult(mult(a, b), a)), c)),
% 6.32/6.52 inference(symmetry,[status(thm)],[15082])).
% 6.32/6.52 tff(15084,plain,
% 6.32/6.52 (mult(a, mult(mult(mult(a, b), a), c)) = mult(a, mult(mult(b, a), mult(a, c)))),
% 6.32/6.52 inference(transitivity,[status(thm)],[15083, 14958, 13534, 14957, 13502, 13950])).
% 6.32/6.52 tff(15085,plain,
% 6.32/6.52 (ld(a, mult(a, mult(mult(mult(a, b), a), c))) = ld(a, mult(a, mult(mult(b, a), mult(a, c))))),
% 6.32/6.52 inference(monotonicity,[status(thm)],[15084])).
% 6.32/6.52 tff(15086,plain,
% 6.32/6.52 (ld(a, mult(a, mult(mult(b, a), mult(a, c)))) = ld(a, mult(a, mult(mult(mult(a, b), a), c)))),
% 6.32/6.52 inference(symmetry,[status(thm)],[15085])).
% 6.32/6.52 tff(15087,plain,
% 6.32/6.52 (mult(mult(b, a), mult(a, c)) = mult(mult(a, b), mult(c, a))),
% 6.32/6.52 inference(transitivity,[status(thm)],[12189, 15086, 11987, 9222])).
% 6.32/6.52 tff(15088,plain,
% 6.32/6.52 (mult(mult(mult(b, a), mult(a, c)), b) = mult(mult(mult(a, b), mult(c, a)), b)),
% 6.32/6.52 inference(monotonicity,[status(thm)],[15087])).
% 6.32/6.52 tff(15089,plain,
% 6.32/6.52 (mult(mult(mult(a, b), mult(c, a)), b) = mult(mult(mult(b, a), mult(a, c)), b)),
% 6.32/6.52 inference(symmetry,[status(thm)],[15088])).
% 6.32/6.52 tff(15090,plain,
% 6.32/6.52 (mult(a, mult(mult(c, a), b)) = mult(mult(a, b), mult(c, a))),
% 6.32/6.52 inference(transitivity,[status(thm)],[352, 3830, 8336, 9222])).
% 6.32/6.52 tff(15091,plain,
% 6.32/6.52 (mult(mult(a, mult(mult(c, a), b)), b) = mult(mult(mult(a, b), mult(c, a)), b)),
% 6.32/6.52 inference(monotonicity,[status(thm)],[15090])).
% 6.32/6.52 tff(15092,plain,
% 6.32/6.52 (mult(mult(a, mult(mult(c, a), b)), b) = mult(mult(mult(b, mult(c, a)), a), b)),
% 6.32/6.52 inference(transitivity,[status(thm)],[15091, 15089, 4200])).
% 6.32/6.52 tff(15093,plain,
% 6.32/6.52 (mult(mult(mult(a, mult(mult(c, a), b)), b), a) = mult(mult(mult(mult(b, mult(c, a)), a), b), a)),
% 6.32/6.52 inference(monotonicity,[status(thm)],[15092])).
% 6.32/6.52 tff(15094,plain,
% 6.32/6.52 (mult(mult(mult(a, b), mult(c, a)), b) = mult(mult(a, mult(mult(c, a), b)), b)),
% 6.32/6.52 inference(symmetry,[status(thm)],[15091])).
% 6.32/6.52 tff(15095,plain,
% 6.32/6.52 (mult(a, mult(mult(b, mult(c, a)), b)) = mult(mult(a, mult(mult(c, a), b)), b)),
% 6.32/6.52 inference(transitivity,[status(thm)],[11830, 15094])).
% 6.32/6.52 tff(15096,plain,
% 6.32/6.52 (mult(mult(a, mult(mult(b, mult(c, a)), b)), a) = mult(mult(mult(a, mult(mult(c, a), b)), b), a)),
% 6.32/6.52 inference(monotonicity,[status(thm)],[15095])).
% 6.32/6.52 tff(15097,plain,
% 6.32/6.52 (mult(mult(a, mult(mult(b, mult(c, a)), b)), a) = mult(mult(mult(b, a), mult(a, c)), mult(b, a))),
% 6.32/6.52 inference(transitivity,[status(thm)],[15096, 15093, 4198, 11154, 15081, 3534])).
% 6.32/6.52 tff(15098,plain,
% 6.32/6.53 (mult(mult(a, c), mult(mult(a, mult(mult(b, mult(c, a)), b)), a)) = mult(mult(a, c), mult(mult(mult(b, a), mult(a, c)), mult(b, a)))),
% 6.32/6.53 inference(monotonicity,[status(thm)],[15097])).
% 6.32/6.53 tff(15099,plain,
% 6.32/6.53 ((~![C: $i, B: $i, A: $i] : (mult(mult(mult(A, B), C), B) = mult(A, mult(mult(B, C), B)))) | (mult(mult(mult(mult(a, c), a), mult(mult(b, mult(c, a)), b)), a) = mult(mult(a, c), mult(mult(a, mult(mult(b, mult(c, a)), b)), a)))),
% 6.32/6.53 inference(quant_inst,[status(thm)],[])).
% 6.32/6.53 tff(15100,plain,
% 6.32/6.53 (mult(mult(mult(mult(a, c), a), mult(mult(b, mult(c, a)), b)), a) = mult(mult(a, c), mult(mult(a, mult(mult(b, mult(c, a)), b)), a))),
% 6.32/6.53 inference(unit_resolution,[status(thm)],[15099, 860])).
% 6.32/6.53 tff(15101,plain,
% 6.32/6.53 (mult(mult(mult(mult(a, c), a), mult(mult(b, mult(c, a)), b)), a) = mult(mult(mult(mult(mult(a, c), mult(b, a)), mult(a, c)), b), a)),
% 6.32/6.53 inference(transitivity,[status(thm)],[15100, 15098, 8759, 15080])).
% 6.32/6.53 tff(15102,plain,
% 6.32/6.53 (rd(mult(mult(mult(mult(a, c), a), mult(mult(b, mult(c, a)), b)), a), a) = rd(mult(mult(mult(mult(mult(a, c), mult(b, a)), mult(a, c)), b), a), a)),
% 6.32/6.53 inference(monotonicity,[status(thm)],[15101])).
% 6.32/6.53 tff(15103,plain,
% 6.32/6.53 ((~![B: $i, A: $i] : (rd(mult(A, B), B) = A)) | (rd(mult(mult(mult(mult(a, c), a), mult(mult(b, mult(c, a)), b)), a), a) = mult(mult(mult(a, c), a), mult(mult(b, mult(c, a)), b)))),
% 6.32/6.53 inference(quant_inst,[status(thm)],[])).
% 6.32/6.53 tff(15104,plain,
% 6.32/6.53 (rd(mult(mult(mult(mult(a, c), a), mult(mult(b, mult(c, a)), b)), a), a) = mult(mult(mult(a, c), a), mult(mult(b, mult(c, a)), b))),
% 6.32/6.53 inference(unit_resolution,[status(thm)],[15103, 72])).
% 6.32/6.53 tff(15105,plain,
% 6.32/6.53 (mult(mult(mult(a, c), a), mult(mult(b, mult(c, a)), b)) = rd(mult(mult(mult(mult(a, c), a), mult(mult(b, mult(c, a)), b)), a), a)),
% 6.32/6.53 inference(symmetry,[status(thm)],[15104])).
% 6.32/6.53 tff(15106,plain,
% 6.32/6.53 (mult(mult(mult(a, c), a), mult(mult(b, mult(c, a)), b)) = mult(mult(mult(a, c), a), mult(mult(mult(b, c), a), b))),
% 6.32/6.53 inference(transitivity,[status(thm)],[15105, 15102, 13377, 13375, 6789, 13374])).
% 6.32/6.53 tff(15107,plain,
% 6.32/6.53 (ld(mult(mult(a, c), a), mult(mult(mult(a, c), a), mult(mult(b, mult(c, a)), b))) = ld(mult(mult(a, c), a), mult(mult(mult(a, c), a), mult(mult(mult(b, c), a), b)))),
% 6.32/6.53 inference(monotonicity,[status(thm)],[15106])).
% 6.32/6.53 tff(15108,plain,
% 6.32/6.53 (ld(mult(mult(a, c), a), mult(mult(mult(a, c), a), mult(mult(mult(b, c), a), b))) = ld(mult(mult(a, c), a), mult(mult(mult(a, c), a), mult(mult(b, mult(c, a)), b)))),
% 6.32/6.53 inference(symmetry,[status(thm)],[15107])).
% 6.32/6.53 tff(15109,plain,
% 6.32/6.53 ((~![B: $i, A: $i] : (ld(A, mult(A, B)) = B)) | (ld(mult(mult(a, c), a), mult(mult(mult(a, c), a), mult(mult(mult(b, c), a), b))) = mult(mult(mult(b, c), a), b))),
% 6.32/6.53 inference(quant_inst,[status(thm)],[])).
% 6.32/6.53 tff(15110,plain,
% 6.32/6.53 (ld(mult(mult(a, c), a), mult(mult(mult(a, c), a), mult(mult(mult(b, c), a), b))) = mult(mult(mult(b, c), a), b)),
% 6.32/6.53 inference(unit_resolution,[status(thm)],[15109, 9])).
% 6.32/6.53 tff(15111,plain,
% 6.32/6.53 (mult(mult(mult(b, c), a), b) = ld(mult(mult(a, c), a), mult(mult(mult(a, c), a), mult(mult(mult(b, c), a), b)))),
% 6.32/6.53 inference(symmetry,[status(thm)],[15110])).
% 6.32/6.53 tff(15112,plain,
% 6.32/6.53 (mult(mult(mult(b, c), a), b) = mult(mult(b, mult(c, a)), b)),
% 6.32/6.53 inference(transitivity,[status(thm)],[15111, 15108, 13373])).
% 6.32/6.53 tff(15113,plain,
% 6.32/6.53 (rd(mult(mult(mult(b, c), a), b), b) = rd(mult(mult(b, mult(c, a)), b), b)),
% 6.32/6.53 inference(monotonicity,[status(thm)],[15112])).
% 6.32/6.53 tff(15114,plain,
% 6.32/6.53 ((~![B: $i, A: $i] : (rd(mult(A, B), B) = A)) | (rd(mult(mult(mult(b, c), a), b), b) = mult(mult(b, c), a))),
% 6.32/6.53 inference(quant_inst,[status(thm)],[])).
% 6.32/6.53 tff(15115,plain,
% 6.32/6.53 (rd(mult(mult(mult(b, c), a), b), b) = mult(mult(b, c), a)),
% 6.32/6.53 inference(unit_resolution,[status(thm)],[15114, 72])).
% 6.32/6.53 tff(15116,plain,
% 6.32/6.53 (mult(mult(b, c), a) = rd(mult(mult(mult(b, c), a), b), b)),
% 6.32/6.53 inference(symmetry,[status(thm)],[15115])).
% 6.32/6.53 tff(15117,plain,
% 6.32/6.53 (mult(mult(b, c), a) = mult(b, mult(c, a))),
% 6.32/6.53 inference(transitivity,[status(thm)],[15116, 15113, 13371])).
% 6.32/6.53 tff(15118,plain,
% 6.32/6.53 ($false),
% 6.32/6.53 inference(unit_resolution,[status(thm)],[13538, 15117])).
% 6.32/6.53 tff(15119,plain,((mult(mult(a, c), mult(b, a)) = mult(a, mult(c, mult(b, a)))) | (~(mult(mult(c, a), b) = mult(c, mult(b, a)))) | (~(mult(mult(a, a), mult(b, a)) = mult(a, mult(a, mult(b, a))))) | (~(mult(mult(mult(a, c), a), b) = mult(mult(a, c), mult(b, a)))) | (mult(mult(mult(a, c), b), a) = mult(mult(a, c), mult(b, a))) | (~(mult(mult(a, mult(c, a)), b) = mult(a, mult(b, mult(c, a))))) | (mult(a, b) = mult(b, a)) | (~(mult(mult(mult(b, a), b), a) = mult(mult(b, a), mult(b, a)))) | (~(mult(mult(b, mult(a, b)), a) = mult(b, mult(mult(a, b), a)))) | (~(mult(mult(mult(mult(a, a), b), a), c) = mult(mult(mult(a, a), b), mult(c, a)))) | (~(mult(mult(c, a), mult(a, b)) = mult(c, mult(mult(a, b), a)))) | (mult(mult(a, mult(b, mult(c, a))), a) = mult(a, mult(mult(b, mult(c, a)), a))) | (~(mult(mult(mult(a, b), c), a) = mult(mult(a, b), mult(a, c)))) | (~(mult(mult(mult(b, a), a), b) = mult(mult(b, a), mult(a, b)))) | (~(mult(mult(mult(mult(c, a), b), a), mult(b, a)) = mult(mult(mult(c, a), b), mult(mult(b, a), a)))) | (mult(mult(c, mult(b, a)), a) = mult(c, mult(mult(b, a), a)))), inference(lemma,lemma(discharge,[]))).
% 6.32/6.53 tff(15120,plain,
% 6.32/6.53 (mult(mult(a, c), mult(b, a)) = mult(a, mult(c, mult(b, a)))),
% 6.32/6.53 inference(unit_resolution,[status(thm)],[15119, 13369, 11024, 1362, 614, 1736, 1, 11025, 11026, 12437, 9263, 342, 168, 12167, 13368, 10913])).
% 6.32/6.53 tff(15121,plain,
% 6.32/6.53 (mult(a, mult(b, mult(c, a))) = mult(a, mult(mult(c, a), b))),
% 6.32/6.53 inference(transitivity,[status(thm)],[1737, 6925, 1362, 15120, 2096])).
% 6.32/6.53 tff(15122,plain,
% 6.32/6.53 (ld(a, mult(a, mult(b, mult(c, a)))) = ld(a, mult(a, mult(mult(c, a), b)))),
% 6.32/6.53 inference(monotonicity,[status(thm)],[15121])).
% 6.32/6.53 tff(15123,plain,
% 6.32/6.53 (mult(b, mult(c, a)) = mult(mult(c, a), b)),
% 6.32/6.53 inference(transitivity,[status(thm)],[2419, 15122, 209])).
% 6.32/6.53 tff(15124,plain,
% 6.32/6.53 (mult(mult(b, a), mult(b, mult(c, a))) = mult(mult(b, a), mult(mult(c, a), b))),
% 6.32/6.53 inference(monotonicity,[status(thm)],[15123])).
% 6.32/6.53 tff(15125,plain,
% 6.32/6.53 ((mult(mult(mult(b, a), mult(c, a)), b) = mult(mult(b, a), mult(b, mult(c, a)))) <=> (mult(mult(mult(b, a), mult(c, a)), b) = mult(mult(b, a), mult(mult(c, a), b)))),
% 6.32/6.53 inference(monotonicity,[status(thm)],[15124])).
% 6.32/6.53 tff(15126,plain,
% 6.32/6.53 (~(mult(mult(mult(b, a), c), a) = mult(mult(b, a), mult(c, a)))),
% 6.32/6.53 inference(unit_resolution,[status(thm)],[3516, 13538])).
% 6.32/6.53 tff(15127,plain,
% 6.32/6.53 (mult(mult(b, mult(c, a)), mult(mult(a, b), a)) = mult(mult(mult(c, a), b), mult(mult(a, b), a))),
% 6.32/6.53 inference(monotonicity,[status(thm)],[15123])).
% 6.32/6.53 tff(15128,plain,
% 6.32/6.53 (mult(mult(mult(c, a), b), mult(mult(a, b), a)) = mult(mult(b, mult(c, a)), mult(mult(a, b), a))),
% 6.32/6.53 inference(symmetry,[status(thm)],[15127])).
% 6.32/6.53 tff(15129,plain,
% 6.32/6.53 (mult(mult(b, mult(c, a)), a) = mult(mult(mult(c, a), b), a)),
% 6.32/6.53 inference(monotonicity,[status(thm)],[15123])).
% 6.32/6.53 tff(15130,plain,
% 6.32/6.53 (mult(mult(b, a), mult(a, c)) = mult(mult(mult(c, a), b), a)),
% 6.32/6.53 inference(transitivity,[status(thm)],[4650, 4656, 15129])).
% 6.32/6.53 tff(15131,plain,
% 6.32/6.53 (mult(mult(mult(b, a), mult(a, c)), mult(a, b)) = mult(mult(mult(mult(c, a), b), a), mult(a, b))),
% 6.32/6.53 inference(monotonicity,[status(thm)],[15130])).
% 6.32/6.53 tff(15132,plain,
% 6.32/6.53 ((mult(mult(a, mult(c, a)), b) = mult(a, mult(mult(c, a), b))) <=> (mult(a, mult(b, mult(c, a))) = mult(a, mult(mult(c, a), b)))),
% 6.32/6.53 inference(monotonicity,[status(thm)],[1736])).
% 6.32/6.53 tff(15133,plain,
% 6.32/6.53 ((mult(a, mult(b, mult(c, a))) = mult(a, mult(mult(c, a), b))) <=> (mult(mult(a, mult(c, a)), b) = mult(a, mult(mult(c, a), b)))),
% 6.32/6.53 inference(symmetry,[status(thm)],[15132])).
% 6.32/6.53 tff(15134,plain,
% 6.32/6.53 (mult(mult(a, c), mult(b, a)) = mult(a, mult(b, mult(c, a)))),
% 6.32/6.53 inference(transitivity,[status(thm)],[1720, 13395, 1736])).
% 6.32/6.53 tff(15135,plain,
% 6.32/6.53 ((mult(mult(a, c), mult(b, a)) = mult(a, mult(c, mult(b, a)))) <=> (mult(a, mult(b, mult(c, a))) = mult(a, mult(mult(c, a), b)))),
% 6.32/6.53 inference(monotonicity,[status(thm)],[15134, 2096])).
% 6.32/6.53 tff(15136,plain,
% 6.32/6.53 ((mult(mult(a, c), mult(b, a)) = mult(a, mult(c, mult(b, a)))) <=> (mult(mult(a, mult(c, a)), b) = mult(a, mult(mult(c, a), b)))),
% 6.32/6.53 inference(transitivity,[status(thm)],[15135, 15133])).
% 6.32/6.53 tff(15137,plain,
% 6.32/6.53 (mult(mult(a, mult(c, a)), b) = mult(a, mult(mult(c, a), b))),
% 6.32/6.53 inference(modus_ponens,[status(thm)],[15120, 15136])).
% 6.32/6.53 tff(15138,plain,
% 6.32/6.53 (mult(a, mult(mult(b, a), mult(a, c))) = mult(a, mult(mult(mult(c, a), b), a))),
% 6.32/6.53 inference(monotonicity,[status(thm)],[15130])).
% 6.32/6.53 tff(15139,plain,
% 6.32/6.53 (mult(a, mult(mult(b, mult(c, a)), a)) = mult(a, mult(mult(b, a), mult(a, c)))),
% 6.32/6.53 inference(monotonicity,[status(thm)],[7856])).
% 6.32/6.53 tff(15140,plain,
% 6.32/6.53 (mult(a, mult(mult(b, mult(c, a)), a)) = mult(a, mult(mult(mult(c, a), b), a))),
% 6.32/6.53 inference(transitivity,[status(thm)],[15139, 15138])).
% 6.32/6.53 tff(15141,plain,
% 6.32/6.53 (mult(mult(a, c), mult(b, a)) = mult(a, mult(mult(c, a), b))),
% 6.32/6.53 inference(transitivity,[status(thm)],[15120, 2096])).
% 6.32/6.53 tff(15142,plain,
% 6.32/6.53 (mult(mult(mult(a, c), mult(b, a)), a) = mult(mult(a, mult(mult(c, a), b)), a)),
% 6.32/6.53 inference(monotonicity,[status(thm)],[15141])).
% 6.32/6.53 tff(15143,plain,
% 6.32/6.53 (mult(mult(a, mult(b, mult(c, a))), a) = mult(mult(a, mult(mult(c, a), b)), a)),
% 6.32/6.53 inference(transitivity,[status(thm)],[13402, 15142])).
% 6.32/6.53 tff(15144,plain,
% 6.32/6.53 ((mult(mult(a, mult(b, mult(c, a))), a) = mult(a, mult(mult(b, mult(c, a)), a))) <=> (mult(mult(a, mult(mult(c, a), b)), a) = mult(a, mult(mult(mult(c, a), b), a)))),
% 6.32/6.53 inference(monotonicity,[status(thm)],[15143, 15140])).
% 6.32/6.53 tff(15145,plain,
% 6.32/6.53 ((~(mult(mult(a, mult(b, mult(c, a))), a) = mult(a, mult(mult(b, mult(c, a)), a)))) <=> (~(mult(mult(a, mult(mult(c, a), b)), a) = mult(a, mult(mult(mult(c, a), b), a))))),
% 6.32/6.53 inference(monotonicity,[status(thm)],[15144])).
% 6.32/6.53 tff(15146,plain,
% 6.32/6.53 (~(mult(mult(a, mult(mult(c, a), b)), a) = mult(a, mult(mult(mult(c, a), b), a)))),
% 6.32/6.53 inference(modus_ponens,[status(thm)],[13369, 15145])).
% 6.32/6.53 tff(15147,plain,
% 6.32/6.53 ((~(mult(mult(a, c), mult(mult(a, b), a)) = mult(a, mult(c, mult(mult(a, b), a))))) | (mult(mult(a, mult(mult(c, a), b)), a) = mult(a, mult(mult(mult(c, a), b), a))) | (~(mult(mult(a, mult(c, a)), b) = mult(a, mult(mult(c, a), b)))) | (~(mult(mult(mult(a, c), a), b) = mult(mult(a, c), mult(b, a)))) | (~(mult(mult(b, mult(c, a)), a) = mult(b, mult(a, mult(c, a)))))),
% 6.32/6.53 inference(unit_resolution,[status(thm)],[10786, 3427])).
% 6.32/6.53 tff(15148,plain,
% 6.32/6.53 ((~(mult(mult(a, c), mult(mult(a, b), a)) = mult(a, mult(c, mult(mult(a, b), a))))) | (mult(mult(a, mult(mult(c, a), b)), a) = mult(a, mult(mult(mult(c, a), b), a))) | (~(mult(mult(a, mult(c, a)), b) = mult(a, mult(mult(c, a), b)))) | (~(mult(mult(mult(a, c), a), b) = mult(mult(a, c), mult(b, a))))),
% 6.32/6.53 inference(unit_resolution,[status(thm)],[15147, 4679])).
% 6.32/6.53 tff(15149,plain,
% 6.32/6.53 (~(mult(mult(a, c), mult(mult(a, b), a)) = mult(a, mult(c, mult(mult(a, b), a))))),
% 6.32/6.53 inference(unit_resolution,[status(thm)],[15148, 15146, 1362, 15137])).
% 6.32/6.53 tff(15150,plain,
% 6.32/6.53 (~((~(mult(mult(a, c), mult(mult(a, b), a)) = mult(a, mult(mult(mult(a, b), a), c)))) | (~(mult(mult(a, mult(mult(a, b), a)), c) = mult(a, mult(c, mult(mult(a, b), a))))))),
% 6.32/6.53 inference(unit_resolution,[status(thm)],[13294, 15149])).
% 6.32/6.53 tff(15151,plain,
% 6.32/6.53 (mult(mult(a, c), mult(mult(a, b), a)) = mult(a, mult(mult(mult(a, b), a), c))),
% 6.32/6.53 inference(unit_resolution,[status(thm)],[13412, 15150])).
% 6.32/6.53 tff(15152,plain,
% 6.32/6.53 (mult(mult(a, mult(c, a)), b) = mult(a, mult(mult(c, a), b))),
% 6.32/6.53 inference(modus_ponens,[status(thm)],[368, 15136])).
% 6.32/6.53 tff(15153,plain,
% 6.32/6.53 (mult(mult(a, mult(b, a)), c) = mult(a, mult(mult(b, a), c))),
% 6.32/6.53 inference(unit_resolution,[status(thm)],[1405, 15152, 1362, 342, 11731])).
% 6.32/6.53 tff(15154,plain,
% 6.32/6.53 (mult(mult(mult(a, b), a), c) = mult(mult(a, mult(b, a)), c)),
% 6.32/6.53 inference(monotonicity,[status(thm)],[4193])).
% 6.32/6.53 tff(15155,plain,
% 6.32/6.53 (mult(mult(mult(a, b), a), c) = mult(mult(a, c), mult(b, a))),
% 6.32/6.53 inference(transitivity,[status(thm)],[15154, 15153, 4878, 1737, 6925, 1362])).
% 6.32/6.53 tff(15156,plain,
% 6.32/6.53 (mult(mult(mult(mult(a, b), a), c), a) = mult(mult(mult(a, c), mult(b, a)), a)),
% 6.32/6.53 inference(monotonicity,[status(thm)],[15155])).
% 6.32/6.53 tff(15157,plain,
% 6.32/6.53 (mult(mult(mult(a, c), mult(b, a)), a) = mult(mult(mult(mult(a, b), a), c), a)),
% 6.32/6.53 inference(symmetry,[status(thm)],[15156])).
% 6.32/6.53 tff(15158,plain,
% 6.32/6.53 (mult(b, mult(mult(mult(a, c), mult(b, a)), a)) = mult(b, mult(mult(mult(mult(a, b), a), c), a))),
% 6.32/6.53 inference(monotonicity,[status(thm)],[15157])).
% 6.32/6.53 tff(15159,plain,
% 6.32/6.53 (mult(mult(a, mult(mult(c, a), b)), a) = mult(mult(mult(a, c), mult(b, a)), a)),
% 6.32/6.53 inference(symmetry,[status(thm)],[10824])).
% 6.32/6.53 tff(15160,plain,
% 6.32/6.53 (mult(a, mult(a, mult(b, mult(c, a)))) = mult(a, mult(mult(a, c), mult(b, a)))),
% 6.32/6.53 inference(monotonicity,[status(thm)],[13401])).
% 6.32/6.53 tff(15161,plain,
% 6.32/6.53 (mult(a, mult(mult(a, c), mult(b, a))) = mult(a, mult(a, mult(b, mult(c, a))))),
% 6.32/6.53 inference(symmetry,[status(thm)],[15160])).
% 6.32/6.53 tff(15162,plain,
% 6.32/6.53 (mult(a, mult(mult(c, a), b)) = mult(mult(a, c), mult(b, a))),
% 6.32/6.53 inference(transitivity,[status(thm)],[352, 527])).
% 6.32/6.53 tff(15163,plain,
% 6.32/6.53 (mult(a, mult(a, mult(mult(c, a), b))) = mult(a, mult(mult(a, c), mult(b, a)))),
% 6.32/6.53 inference(monotonicity,[status(thm)],[15162])).
% 6.32/6.53 tff(15164,plain,
% 6.32/6.53 (mult(a, mult(a, mult(mult(c, a), b))) = mult(a, mult(a, mult(b, mult(c, a))))),
% 6.32/6.53 inference(transitivity,[status(thm)],[15163, 15161])).
% 6.32/6.53 tff(15165,plain,
% 6.32/6.53 (mult(mult(a, mult(mult(c, a), b)), a) = mult(mult(a, mult(b, mult(c, a))), a)),
% 6.32/6.53 inference(transitivity,[status(thm)],[15159, 13403])).
% 6.32/6.53 tff(15166,plain,
% 6.32/6.53 ((mult(mult(a, mult(mult(c, a), b)), a) = mult(a, mult(a, mult(mult(c, a), b)))) <=> (mult(mult(a, mult(b, mult(c, a))), a) = mult(a, mult(a, mult(b, mult(c, a)))))),
% 6.32/6.53 inference(monotonicity,[status(thm)],[15165, 15164])).
% 6.32/6.53 tff(15167,plain,
% 6.32/6.53 ((mult(mult(a, mult(b, mult(c, a))), a) = mult(a, mult(a, mult(b, mult(c, a))))) <=> (mult(mult(a, mult(mult(c, a), b)), a) = mult(a, mult(a, mult(mult(c, a), b))))),
% 6.32/6.53 inference(symmetry,[status(thm)],[15166])).
% 6.32/6.53 tff(15168,plain,
% 6.32/6.53 (mult(a, mult(mult(mult(a, b), a), c)) = mult(a, mult(mult(a, c), mult(b, a)))),
% 6.32/6.53 inference(monotonicity,[status(thm)],[15155])).
% 6.32/6.53 tff(15169,plain,
% 6.32/6.53 (mult(mult(a, c), mult(a, mult(b, a))) = mult(a, mult(a, mult(b, mult(c, a))))),
% 6.32/6.53 inference(transitivity,[status(thm)],[10731, 13404, 15168, 15161])).
% 6.32/6.53 tff(15170,plain,
% 6.32/6.53 ((mult(mult(mult(a, c), mult(b, a)), a) = mult(mult(a, c), mult(a, mult(b, a)))) <=> (mult(mult(a, mult(b, mult(c, a))), a) = mult(a, mult(a, mult(b, mult(c, a)))))),
% 6.32/6.53 inference(monotonicity,[status(thm)],[13403, 15169])).
% 6.32/6.53 tff(15171,plain,
% 6.32/6.53 ((mult(mult(mult(a, c), mult(b, a)), a) = mult(mult(a, c), mult(a, mult(b, a)))) <=> (mult(mult(a, mult(mult(c, a), b)), a) = mult(a, mult(a, mult(mult(c, a), b))))),
% 6.32/6.53 inference(transitivity,[status(thm)],[15170, 15167])).
% 6.32/6.53 tff(15172,plain,
% 6.32/6.53 (mult(mult(a, mult(mult(c, a), b)), a) = mult(a, mult(a, mult(mult(c, a), b)))),
% 6.32/6.53 inference(modus_ponens,[status(thm)],[11029, 15171])).
% 6.32/6.53 tff(15173,plain,
% 6.32/6.53 (mult(a, mult(a, mult(mult(c, a), b))) = mult(mult(a, mult(mult(c, a), b)), a)),
% 6.32/6.53 inference(symmetry,[status(thm)],[15172])).
% 6.32/6.53 tff(15174,plain,
% 6.32/6.53 (mult(a, mult(mult(a, c), mult(b, a))) = mult(a, mult(a, mult(mult(c, a), b)))),
% 6.32/6.53 inference(symmetry,[status(thm)],[15163])).
% 6.32/6.53 tff(15175,plain,
% 6.32/6.53 (mult(a, mult(mult(mult(a, b), a), c)) = mult(mult(mult(a, c), mult(b, a)), a)),
% 6.32/6.53 inference(transitivity,[status(thm)],[15168, 15174, 15173, 15159])).
% 6.32/6.53 tff(15176,plain,
% 6.32/6.53 (mult(b, mult(a, mult(mult(mult(a, b), a), c))) = mult(b, mult(mult(mult(a, c), mult(b, a)), a))),
% 6.32/6.53 inference(monotonicity,[status(thm)],[15175])).
% 6.32/6.53 tff(15177,plain,
% 6.32/6.53 (mult(mult(mult(a, c), a), mult(a, b)) = mult(a, mult(mult(mult(a, b), a), c))),
% 6.32/6.53 inference(transitivity,[status(thm)],[10864, 13404])).
% 6.32/6.53 tff(15178,plain,
% 6.32/6.53 (mult(b, mult(mult(mult(a, c), a), mult(a, b))) = mult(b, mult(a, mult(mult(mult(a, b), a), c)))),
% 6.32/6.53 inference(monotonicity,[status(thm)],[15177])).
% 6.32/6.53 tff(15179,plain,
% 6.32/6.53 (mult(b, mult(mult(mult(a, c), a), mult(a, b))) = mult(b, mult(mult(a, b), mult(mult(a, c), a)))),
% 6.32/6.53 inference(transitivity,[status(thm)],[15178, 15176, 15158, 11534])).
% 6.32/6.53 tff(15180,plain,
% 6.32/6.53 ((mult(mult(b, mult(mult(a, c), a)), mult(a, b)) = mult(b, mult(mult(mult(a, c), a), mult(a, b)))) <=> (mult(mult(b, mult(mult(a, c), a)), mult(a, b)) = mult(b, mult(mult(a, b), mult(mult(a, c), a))))),
% 6.32/6.54 inference(monotonicity,[status(thm)],[15179])).
% 6.32/6.54 tff(15181,plain,
% 6.32/6.54 ((mult(mult(b, mult(mult(a, c), a)), mult(a, b)) = mult(b, mult(mult(a, b), mult(mult(a, c), a)))) <=> (mult(mult(b, mult(mult(a, c), a)), mult(a, b)) = mult(b, mult(mult(mult(a, c), a), mult(a, b))))),
% 6.32/6.54 inference(symmetry,[status(thm)],[15180])).
% 6.32/6.54 tff(15182,plain,
% 6.32/6.54 (mult(mult(b, mult(mult(a, c), a)), mult(a, b)) = mult(b, mult(mult(mult(a, c), a), mult(a, b)))),
% 6.32/6.54 inference(modus_ponens,[status(thm)],[12051, 15181])).
% 6.32/6.54 tff(15183,plain,
% 6.32/6.54 ($false),
% 6.32/6.54 inference(unit_resolution,[status(thm)],[12048, 15182])).
% 6.32/6.54 tff(15184,plain,((mult(mult(b, mult(mult(a, c), a)), mult(a, b)) = mult(b, mult(mult(mult(a, c), a), mult(a, b)))) | (~(mult(mult(a, mult(c, a)), b) = mult(a, mult(b, mult(c, a))))) | (~(mult(mult(mult(a, c), a), b) = mult(mult(a, c), mult(b, a)))) | (~(mult(mult(a, c), mult(b, a)) = mult(a, mult(c, mult(b, a))))) | (~(mult(mult(c, a), b) = mult(c, mult(b, a)))) | (~(mult(mult(mult(a, c), a), mult(a, b)) = mult(mult(a, c), mult(mult(a, b), a)))) | (~(mult(mult(a, c), mult(mult(a, b), a)) = mult(a, mult(mult(mult(a, b), a), c))))), inference(lemma,lemma(discharge,[]))).
% 6.32/6.54 tff(15185,plain,
% 6.32/6.54 (mult(mult(b, mult(mult(a, c), a)), mult(a, b)) = mult(b, mult(mult(mult(a, c), a), mult(a, b)))),
% 6.32/6.54 inference(unit_resolution,[status(thm)],[15184, 15120, 1362, 1736, 342, 6854, 15151])).
% 6.32/6.54 tff(15186,plain,
% 6.32/6.54 (mult(b, mult(mult(mult(a, c), a), mult(a, b))) = mult(mult(b, mult(mult(a, c), a)), mult(a, b))),
% 6.32/6.54 inference(symmetry,[status(thm)],[15185])).
% 6.32/6.54 tff(15187,plain,
% 6.32/6.54 (mult(mult(a, c), mult(mult(a, b), a)) = mult(mult(mult(a, c), a), mult(a, b))),
% 6.32/6.54 inference(symmetry,[status(thm)],[6854])).
% 6.32/6.54 tff(15188,plain,
% 6.32/6.54 (mult(a, mult(mult(mult(a, b), a), c)) = mult(mult(a, c), mult(mult(a, b), a))),
% 6.32/6.54 inference(symmetry,[status(thm)],[15151])).
% 6.32/6.54 tff(15189,plain,
% 6.32/6.54 (mult(a, mult(mult(mult(a, b), a), c)) = mult(mult(mult(a, c), a), mult(a, b))),
% 6.32/6.54 inference(transitivity,[status(thm)],[15188, 15187])).
% 6.32/6.54 tff(15190,plain,
% 6.32/6.54 (mult(b, mult(a, mult(mult(mult(a, b), a), c))) = mult(b, mult(mult(mult(a, c), a), mult(a, b)))),
% 6.32/6.54 inference(monotonicity,[status(thm)],[15189])).
% 6.32/6.54 tff(15191,plain,
% 6.32/6.54 (mult(mult(a, mult(b, a)), c) = mult(a, mult(mult(b, a), c))),
% 6.32/6.54 inference(unit_resolution,[status(thm)],[1405, 15137, 1362, 342, 11731])).
% 6.32/6.54 tff(15192,plain,
% 6.32/6.54 (mult(mult(mult(a, b), a), c) = mult(mult(a, c), mult(b, a))),
% 6.32/6.54 inference(transitivity,[status(thm)],[15154, 15191, 4878, 1737, 6925, 1362])).
% 6.32/6.54 tff(15193,plain,
% 6.32/6.54 (mult(a, mult(mult(mult(a, b), a), c)) = mult(a, mult(mult(a, c), mult(b, a)))),
% 6.32/6.54 inference(monotonicity,[status(thm)],[15192])).
% 6.32/6.54 tff(15194,plain,
% 6.32/6.54 (mult(a, mult(mult(a, c), mult(b, a))) = mult(a, mult(mult(mult(a, b), a), c))),
% 6.32/6.54 inference(symmetry,[status(thm)],[15193])).
% 6.32/6.54 tff(15195,plain,
% 6.32/6.54 (mult(a, mult(c, mult(b, a))) = mult(mult(a, c), mult(b, a))),
% 6.32/6.54 inference(symmetry,[status(thm)],[15120])).
% 6.32/6.54 tff(15196,plain,
% 6.32/6.54 (mult(a, mult(mult(c, a), b)) = mult(mult(a, c), mult(b, a))),
% 6.32/6.54 inference(transitivity,[status(thm)],[352, 15195])).
% 6.32/6.54 tff(15197,plain,
% 6.32/6.54 (mult(a, mult(a, mult(mult(c, a), b))) = mult(a, mult(mult(a, c), mult(b, a)))),
% 6.32/6.54 inference(monotonicity,[status(thm)],[15196])).
% 6.32/6.54 tff(15198,plain,
% 6.32/6.54 (mult(a, mult(a, mult(mult(c, a), b))) = mult(a, mult(a, mult(b, mult(c, a))))),
% 6.32/6.54 inference(transitivity,[status(thm)],[15197, 15161])).
% 6.32/6.54 tff(15199,plain,
% 6.32/6.54 (mult(mult(a, mult(mult(c, a), b)), a) = mult(mult(mult(a, c), mult(b, a)), a)),
% 6.32/6.54 inference(symmetry,[status(thm)],[15142])).
% 6.32/6.54 tff(15200,plain,
% 6.32/6.54 (mult(mult(a, mult(mult(c, a), b)), a) = mult(mult(a, mult(b, mult(c, a))), a)),
% 6.32/6.54 inference(transitivity,[status(thm)],[15199, 13403])).
% 6.32/6.54 tff(15201,plain,
% 6.32/6.54 ((mult(mult(a, mult(mult(c, a), b)), a) = mult(a, mult(a, mult(mult(c, a), b)))) <=> (mult(mult(a, mult(b, mult(c, a))), a) = mult(a, mult(a, mult(b, mult(c, a)))))),
% 6.32/6.54 inference(monotonicity,[status(thm)],[15200, 15198])).
% 6.32/6.54 tff(15202,plain,
% 6.32/6.54 ((mult(mult(a, mult(b, mult(c, a))), a) = mult(a, mult(a, mult(b, mult(c, a))))) <=> (mult(mult(a, mult(mult(c, a), b)), a) = mult(a, mult(a, mult(mult(c, a), b))))),
% 6.32/6.54 inference(symmetry,[status(thm)],[15201])).
% 6.32/6.54 tff(15203,plain,
% 6.32/6.54 (mult(mult(a, c), mult(a, mult(b, a))) = mult(a, mult(a, mult(b, mult(c, a))))),
% 6.32/6.54 inference(transitivity,[status(thm)],[10731, 15151, 15193, 15161])).
% 6.32/6.54 tff(15204,plain,
% 6.32/6.54 ((mult(mult(mult(a, c), mult(b, a)), a) = mult(mult(a, c), mult(a, mult(b, a)))) <=> (mult(mult(a, mult(b, mult(c, a))), a) = mult(a, mult(a, mult(b, mult(c, a)))))),
% 6.32/6.54 inference(monotonicity,[status(thm)],[13403, 15203])).
% 6.32/6.54 tff(15205,plain,
% 6.32/6.54 ((mult(mult(mult(a, c), mult(b, a)), a) = mult(mult(a, c), mult(a, mult(b, a)))) <=> (mult(mult(a, mult(mult(c, a), b)), a) = mult(a, mult(a, mult(mult(c, a), b))))),
% 6.32/6.54 inference(transitivity,[status(thm)],[15204, 15202])).
% 6.32/6.54 tff(15206,plain,
% 6.32/6.54 (mult(mult(a, mult(mult(c, a), b)), a) = mult(a, mult(a, mult(mult(c, a), b)))),
% 6.32/6.54 inference(modus_ponens,[status(thm)],[11029, 15205])).
% 6.32/6.54 tff(15207,plain,
% 6.32/6.54 (mult(mult(mult(a, c), mult(b, a)), a) = mult(a, mult(mult(mult(a, b), a), c))),
% 6.32/6.54 inference(transitivity,[status(thm)],[15142, 15206, 15197, 15194])).
% 6.32/6.54 tff(15208,plain,
% 6.32/6.54 (mult(b, mult(mult(mult(a, c), mult(b, a)), a)) = mult(b, mult(a, mult(mult(mult(a, b), a), c)))),
% 6.32/6.54 inference(monotonicity,[status(thm)],[15207])).
% 6.32/6.54 tff(15209,plain,
% 6.32/6.54 (mult(b, mult(mult(a, mult(mult(c, a), b)), a)) = mult(b, mult(mult(mult(a, c), mult(b, a)), a))),
% 6.32/6.54 inference(monotonicity,[status(thm)],[15199])).
% 6.32/6.54 tff(15210,plain,
% 6.32/6.54 (mult(mult(mult(b, a), mult(mult(c, a), b)), a) = mult(mult(mult(b, a), c), mult(mult(a, b), a))),
% 6.32/6.54 inference(transitivity,[status(thm)],[11157, 15209, 15208, 15190, 15186, 11585, 15131, 4325, 15128, 11610])).
% 6.32/6.54 tff(15211,plain,
% 6.32/6.54 ((mult(mult(mult(b, a), mult(mult(c, a), b)), a) = mult(mult(b, a), mult(mult(mult(c, a), b), a))) <=> (mult(mult(mult(b, a), c), mult(mult(a, b), a)) = mult(mult(b, a), mult(c, mult(mult(a, b), a))))),
% 6.32/6.54 inference(monotonicity,[status(thm)],[15210, 11315])).
% 6.32/6.54 tff(15212,plain,
% 6.32/6.54 ((mult(mult(mult(b, a), c), mult(mult(a, b), a)) = mult(mult(b, a), mult(c, mult(mult(a, b), a)))) <=> (mult(mult(mult(b, a), mult(mult(c, a), b)), a) = mult(mult(b, a), mult(mult(mult(c, a), b), a)))),
% 6.32/6.54 inference(symmetry,[status(thm)],[15211])).
% 6.32/6.54 tff(15213,plain,
% 6.32/6.54 (mult(mult(b, a), mult(a, c)) = mult(c, mult(mult(a, b), a))),
% 6.32/6.54 inference(transitivity,[status(thm)],[4650, 4656, 15129, 2807])).
% 6.32/6.54 tff(15214,plain,
% 6.32/6.54 (mult(mult(mult(b, a), mult(a, c)), mult(b, a)) = mult(mult(c, mult(mult(a, b), a)), mult(b, a))),
% 6.32/6.54 inference(monotonicity,[status(thm)],[15213])).
% 6.32/6.54 tff(15215,plain,
% 6.32/6.54 (mult(mult(mult(mult(c, a), b), mult(b, a)), a) = mult(mult(mult(c, a), b), mult(a, mult(b, a)))),
% 6.32/6.54 inference(unit_resolution,[status(thm)],[4362, 13367])).
% 6.32/6.54 tff(15216,plain,
% 6.32/6.54 (mult(mult(mult(c, a), b), mult(a, mult(b, a))) = mult(mult(mult(mult(c, a), b), mult(b, a)), a)),
% 6.32/6.54 inference(symmetry,[status(thm)],[15215])).
% 6.32/6.54 tff(15217,plain,
% 6.32/6.54 ((mult(mult(mult(mult(c, a), b), a), mult(b, a)) = mult(mult(mult(c, a), b), mult(a, mult(b, a)))) <=> (mult(mult(mult(c, a), b), mult(mult(b, a), a)) = mult(mult(mult(mult(c, a), b), mult(b, a)), a))),
% 6.32/6.54 inference(monotonicity,[status(thm)],[13368, 15216])).
% 6.32/6.54 tff(15218,plain,
% 6.32/6.54 ((mult(mult(mult(mult(c, a), b), a), mult(b, a)) = mult(mult(mult(c, a), b), mult(a, mult(b, a)))) <=> (mult(mult(mult(mult(c, a), b), mult(b, a)), a) = mult(mult(mult(c, a), b), mult(mult(b, a), a)))),
% 6.32/6.54 inference(transitivity,[status(thm)],[15217, 9294])).
% 6.32/6.54 tff(15219,plain,
% 6.32/6.54 ((~(mult(mult(mult(mult(c, a), b), a), mult(b, a)) = mult(mult(mult(c, a), b), mult(a, mult(b, a))))) <=> (~(mult(mult(mult(mult(c, a), b), mult(b, a)), a) = mult(mult(mult(c, a), b), mult(mult(b, a), a))))),
% 6.32/6.54 inference(monotonicity,[status(thm)],[15218])).
% 6.32/6.54 tff(15220,plain,
% 6.32/6.54 (~(mult(mult(mult(mult(c, a), b), mult(b, a)), a) = mult(mult(mult(c, a), b), mult(mult(b, a), a)))),
% 6.32/6.54 inference(modus_ponens,[status(thm)],[13365, 15219])).
% 6.32/6.54 tff(15221,plain,
% 6.32/6.54 (mult(b, mult(mult(mult(mult(a, b), a), c), a)) = mult(b, mult(mult(mult(a, c), mult(b, a)), a))),
% 6.32/6.54 inference(monotonicity,[status(thm)],[15156])).
% 6.32/6.54 tff(15222,plain,
% 6.32/6.54 (mult(b, mult(mult(mult(a, c), mult(b, a)), a)) = mult(b, mult(mult(mult(mult(a, b), a), c), a))),
% 6.32/6.54 inference(symmetry,[status(thm)],[15221])).
% 6.32/6.54 tff(15223,plain,
% 6.32/6.54 (mult(mult(b, a), mult(mult(mult(a, b), a), c)) = mult(mult(b, a), mult(mult(a, c), mult(b, a)))),
% 6.32/6.54 inference(monotonicity,[status(thm)],[15155])).
% 6.32/6.54 tff(15224,plain,
% 6.32/6.54 (mult(mult(b, a), mult(mult(a, c), mult(b, a))) = mult(mult(b, a), mult(mult(mult(a, b), a), c))),
% 6.32/6.54 inference(symmetry,[status(thm)],[15223])).
% 6.32/6.54 tff(15225,plain,
% 6.32/6.54 ((mult(mult(b, a), mult(mult(a, c), mult(b, a))) = mult(b, mult(mult(mult(a, c), mult(b, a)), a))) <=> (mult(mult(b, a), mult(mult(mult(a, b), a), c)) = mult(b, mult(mult(mult(mult(a, b), a), c), a)))),
% 6.32/6.54 inference(monotonicity,[status(thm)],[15224, 15222])).
% 6.32/6.54 tff(15226,plain,
% 6.32/6.54 ((mult(mult(b, a), mult(mult(mult(a, b), a), c)) = mult(b, mult(mult(mult(mult(a, b), a), c), a))) <=> (mult(mult(b, a), mult(mult(a, c), mult(b, a))) = mult(b, mult(mult(mult(a, c), mult(b, a)), a)))),
% 6.32/6.54 inference(symmetry,[status(thm)],[15225])).
% 6.32/6.54 tff(15227,plain,
% 6.32/6.54 ((mult(mult(b, a), mult(mult(mult(a, b), a), c)) = mult(mult(mult(b, a), c), mult(mult(a, b), a))) <=> (mult(mult(mult(b, a), c), mult(mult(a, b), a)) = mult(mult(b, a), mult(mult(mult(a, b), a), c)))),
% 6.32/6.54 inference(commutativity,[status(thm)],[])).
% 6.32/6.54 tff(15228,plain,
% 6.32/6.54 (mult(a, mult(b, mult(c, a))) = mult(a, mult(mult(c, a), b))),
% 6.32/6.54 inference(transitivity,[status(thm)],[1737, 6925, 1362, 368, 2096])).
% 6.32/6.54 tff(15229,plain,
% 6.32/6.54 (ld(a, mult(a, mult(b, mult(c, a)))) = ld(a, mult(a, mult(mult(c, a), b)))),
% 6.32/6.54 inference(monotonicity,[status(thm)],[15228])).
% 6.32/6.54 tff(15230,plain,
% 6.32/6.54 (mult(b, mult(c, a)) = mult(mult(c, a), b)),
% 6.32/6.54 inference(transitivity,[status(thm)],[2419, 15229, 209])).
% 6.32/6.54 tff(15231,plain,
% 6.32/6.54 (mult(mult(b, mult(c, a)), mult(mult(a, b), a)) = mult(mult(mult(c, a), b), mult(mult(a, b), a))),
% 6.32/6.54 inference(monotonicity,[status(thm)],[15230])).
% 6.32/6.54 tff(15232,plain,
% 6.32/6.54 (mult(mult(mult(c, a), b), mult(mult(a, b), a)) = mult(mult(b, mult(c, a)), mult(mult(a, b), a))),
% 6.32/6.54 inference(symmetry,[status(thm)],[15231])).
% 6.32/6.54 tff(15233,plain,
% 6.32/6.54 (mult(mult(b, mult(c, a)), a) = mult(mult(mult(c, a), b), a)),
% 6.32/6.54 inference(monotonicity,[status(thm)],[15230])).
% 6.32/6.54 tff(15234,plain,
% 6.32/6.54 (mult(mult(b, a), mult(a, c)) = mult(mult(mult(c, a), b), a)),
% 6.32/6.54 inference(transitivity,[status(thm)],[4650, 4656, 15233])).
% 6.32/6.54 tff(15235,plain,
% 6.32/6.54 (mult(mult(mult(b, a), mult(a, c)), mult(a, b)) = mult(mult(mult(mult(c, a), b), a), mult(a, b))),
% 6.32/6.54 inference(monotonicity,[status(thm)],[15234])).
% 6.32/6.54 tff(15236,plain,
% 6.32/6.54 (mult(mult(b, mult(mult(a, c), a)), mult(a, b)) = mult(b, mult(mult(mult(a, c), a), mult(a, b)))),
% 6.32/6.54 inference(unit_resolution,[status(thm)],[15184, 368, 1362, 1736, 342, 10864, 13404])).
% 6.32/6.54 tff(15237,plain,
% 6.32/6.54 (mult(b, mult(mult(mult(a, c), a), mult(a, b))) = mult(mult(b, mult(mult(a, c), a)), mult(a, b))),
% 6.32/6.54 inference(symmetry,[status(thm)],[15236])).
% 6.32/6.54 tff(15238,plain,
% 6.32/6.54 (mult(a, mult(mult(a, c), mult(b, a))) = mult(a, mult(mult(mult(a, b), a), c))),
% 6.32/6.54 inference(symmetry,[status(thm)],[15168])).
% 6.32/6.54 tff(15239,plain,
% 6.32/6.54 (mult(mult(mult(a, c), mult(b, a)), a) = mult(a, mult(mult(mult(a, b), a), c))),
% 6.32/6.54 inference(transitivity,[status(thm)],[10824, 15172, 15163, 15238])).
% 6.32/6.54 tff(15240,plain,
% 6.32/6.54 (mult(b, mult(mult(mult(a, c), mult(b, a)), a)) = mult(b, mult(a, mult(mult(mult(a, b), a), c)))),
% 6.32/6.54 inference(monotonicity,[status(thm)],[15239])).
% 6.32/6.54 tff(15241,plain,
% 6.32/6.54 (mult(b, mult(mult(mult(mult(a, b), a), c), a)) = mult(mult(mult(b, a), c), mult(mult(a, b), a))),
% 6.32/6.54 inference(transitivity,[status(thm)],[15221, 15240, 13735, 15237, 11585, 15235, 4325, 15232, 11610])).
% 6.32/6.54 tff(15242,plain,
% 6.32/6.54 ((mult(mult(b, a), mult(mult(mult(a, b), a), c)) = mult(b, mult(mult(mult(mult(a, b), a), c), a))) <=> (mult(mult(b, a), mult(mult(mult(a, b), a), c)) = mult(mult(mult(b, a), c), mult(mult(a, b), a)))),
% 6.32/6.54 inference(monotonicity,[status(thm)],[15241])).
% 6.32/6.54 tff(15243,plain,
% 6.32/6.54 ((mult(mult(b, a), mult(mult(mult(a, b), a), c)) = mult(b, mult(mult(mult(mult(a, b), a), c), a))) <=> (mult(mult(mult(b, a), c), mult(mult(a, b), a)) = mult(mult(b, a), mult(mult(mult(a, b), a), c)))),
% 6.32/6.54 inference(transitivity,[status(thm)],[15242, 15227])).
% 6.32/6.54 tff(15244,plain,
% 6.32/6.54 ((mult(mult(mult(b, a), c), mult(mult(a, b), a)) = mult(mult(b, a), mult(mult(mult(a, b), a), c))) <=> (mult(mult(b, a), mult(mult(mult(a, b), a), c)) = mult(b, mult(mult(mult(mult(a, b), a), c), a)))),
% 6.32/6.54 inference(symmetry,[status(thm)],[15243])).
% 6.32/6.54 tff(15245,plain,
% 6.32/6.54 (mult(mult(b, a), mult(a, c)) = mult(c, mult(mult(a, b), a))),
% 6.32/6.54 inference(transitivity,[status(thm)],[4650, 4656, 15233, 2807])).
% 6.32/6.54 tff(15246,plain,
% 6.32/6.54 (mult(mult(mult(b, a), mult(a, c)), mult(b, a)) = mult(mult(c, mult(mult(a, b), a)), mult(b, a))),
% 6.32/6.54 inference(monotonicity,[status(thm)],[15245])).
% 6.32/6.54 tff(15247,plain,
% 6.32/6.54 (mult(mult(b, a), mult(mult(mult(a, b), a), c)) = mult(mult(mult(c, a), b), mult(mult(b, a), a))),
% 6.32/6.54 inference(transitivity,[status(thm)],[15223, 11412, 15246, 9768, 9767])).
% 6.32/6.54 tff(15248,plain,
% 6.32/6.54 (mult(mult(mult(c, a), b), mult(a, mult(b, a))) = mult(mult(mult(mult(c, a), b), mult(b, a)), a)),
% 6.32/6.54 inference(symmetry,[status(thm)],[4416])).
% 6.32/6.54 tff(15249,plain,
% 6.32/6.54 (mult(mult(mult(b, a), c), mult(mult(a, b), a)) = mult(mult(mult(mult(c, a), b), mult(b, a)), a)),
% 6.32/6.54 inference(transitivity,[status(thm)],[11155, 15231, 4345, 15248])).
% 6.32/6.54 tff(15250,plain,
% 6.32/6.54 ((mult(mult(mult(b, a), c), mult(mult(a, b), a)) = mult(mult(b, a), mult(mult(mult(a, b), a), c))) <=> (mult(mult(mult(mult(c, a), b), mult(b, a)), a) = mult(mult(mult(c, a), b), mult(mult(b, a), a)))),
% 6.32/6.54 inference(monotonicity,[status(thm)],[15249, 15247])).
% 6.32/6.54 tff(15251,plain,
% 6.32/6.54 ((mult(mult(mult(mult(c, a), b), mult(b, a)), a) = mult(mult(mult(c, a), b), mult(mult(b, a), a))) <=> (mult(mult(mult(b, a), c), mult(mult(a, b), a)) = mult(mult(b, a), mult(mult(mult(a, b), a), c)))),
% 6.32/6.54 inference(symmetry,[status(thm)],[15250])).
% 6.32/6.54 tff(15252,plain,
% 6.32/6.54 ((mult(mult(mult(mult(c, a), b), mult(b, a)), a) = mult(mult(mult(c, a), b), mult(mult(b, a), a))) <=> (mult(mult(b, a), mult(mult(a, c), mult(b, a))) = mult(b, mult(mult(mult(a, c), mult(b, a)), a)))),
% 6.32/6.54 inference(transitivity,[status(thm)],[15251, 15244, 15226])).
% 6.32/6.54 tff(15253,plain,
% 6.32/6.54 ((~(mult(mult(mult(mult(c, a), b), mult(b, a)), a) = mult(mult(mult(c, a), b), mult(mult(b, a), a)))) <=> (~(mult(mult(b, a), mult(mult(a, c), mult(b, a))) = mult(b, mult(mult(mult(a, c), mult(b, a)), a))))),
% 6.32/6.54 inference(monotonicity,[status(thm)],[15252])).
% 6.32/6.54 tff(15254,plain,
% 6.32/6.54 (~(mult(mult(b, a), mult(mult(a, c), mult(b, a))) = mult(b, mult(mult(mult(a, c), mult(b, a)), a)))),
% 6.32/6.54 inference(modus_ponens,[status(thm)],[9346, 15253])).
% 6.32/6.54 tff(15255,plain,
% 6.32/6.54 ((~(mult(mult(b, a), mult(mult(a, c), mult(b, a))) = mult(b, mult(mult(mult(a, c), mult(b, a)), a)))) | (~(mult(mult(b, mult(mult(a, c), mult(b, a))), a) = mult(b, mult(a, mult(mult(a, c), mult(b, a))))))),
% 6.32/6.54 inference(unit_resolution,[status(thm)],[13790, 15254])).
% 6.32/6.54 tff(15256,plain,
% 6.32/6.54 (mult(b, mult(a, mult(mult(a, c), mult(b, a)))) = mult(b, mult(a, mult(mult(mult(a, b), a), c)))),
% 6.32/6.54 inference(monotonicity,[status(thm)],[15238])).
% 6.32/6.54 tff(15257,plain,
% 6.32/6.54 (mult(b, mult(a, mult(mult(a, c), mult(b, a)))) = mult(mult(mult(b, a), c), mult(mult(a, b), a))),
% 6.32/6.54 inference(transitivity,[status(thm)],[15256, 13735, 15237, 11585, 15235, 4325, 15232, 11610])).
% 6.32/6.54 tff(15258,plain,
% 6.32/6.54 ((mult(mult(b, a), mult(mult(a, c), mult(b, a))) = mult(b, mult(a, mult(mult(a, c), mult(b, a))))) <=> (mult(mult(b, a), mult(mult(mult(a, b), a), c)) = mult(mult(mult(b, a), c), mult(mult(a, b), a)))),
% 6.32/6.54 inference(monotonicity,[status(thm)],[15224, 15257])).
% 6.32/6.54 tff(15259,plain,
% 6.32/6.54 ((mult(mult(b, a), mult(mult(a, c), mult(b, a))) = mult(b, mult(a, mult(mult(a, c), mult(b, a))))) <=> (mult(mult(mult(b, a), c), mult(mult(a, b), a)) = mult(mult(b, a), mult(mult(mult(a, b), a), c)))),
% 6.32/6.54 inference(transitivity,[status(thm)],[15258, 15227])).
% 6.32/6.54 tff(15260,plain,
% 6.32/6.54 ((mult(mult(mult(b, a), c), mult(mult(a, b), a)) = mult(mult(b, a), mult(mult(mult(a, b), a), c))) <=> (mult(mult(b, a), mult(mult(a, c), mult(b, a))) = mult(b, mult(a, mult(mult(a, c), mult(b, a)))))),
% 6.32/6.55 inference(symmetry,[status(thm)],[15259])).
% 6.32/6.55 tff(15261,plain,
% 6.32/6.55 ((mult(mult(mult(mult(c, a), b), mult(b, a)), a) = mult(mult(mult(c, a), b), mult(mult(b, a), a))) <=> (mult(mult(b, a), mult(mult(a, c), mult(b, a))) = mult(b, mult(a, mult(mult(a, c), mult(b, a)))))),
% 6.32/6.55 inference(transitivity,[status(thm)],[15251, 15260])).
% 6.32/6.55 tff(15262,plain,
% 6.32/6.55 ((~(mult(mult(mult(mult(c, a), b), mult(b, a)), a) = mult(mult(mult(c, a), b), mult(mult(b, a), a)))) <=> (~(mult(mult(b, a), mult(mult(a, c), mult(b, a))) = mult(b, mult(a, mult(mult(a, c), mult(b, a))))))),
% 6.32/6.55 inference(monotonicity,[status(thm)],[15261])).
% 6.32/6.55 tff(15263,plain,
% 6.32/6.55 (~(mult(mult(b, a), mult(mult(a, c), mult(b, a))) = mult(b, mult(a, mult(mult(a, c), mult(b, a)))))),
% 6.32/6.55 inference(modus_ponens,[status(thm)],[9346, 15262])).
% 6.32/6.55 tff(15264,plain,
% 6.32/6.55 ((~(mult(mult(b, a), mult(mult(a, c), mult(b, a))) = mult(b, mult(a, mult(mult(a, c), mult(b, a)))))) | (~(mult(mult(b, mult(mult(a, c), mult(b, a))), a) = mult(b, mult(mult(mult(a, c), mult(b, a)), a))))),
% 6.32/6.55 inference(unit_resolution,[status(thm)],[13776, 15263])).
% 6.32/6.55 tff(15265,plain,
% 6.32/6.55 (((~![X0: $i, X1: $i, X2: $i] : ((~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X2, X1)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X1, X2)))))) | (~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X1, X2)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X2, X1)))))))) | ((~((~(mult(mult(b, a), mult(mult(a, c), mult(b, a))) = mult(b, mult(mult(mult(a, c), mult(b, a)), a)))) | (~(mult(mult(b, mult(mult(a, c), mult(b, a))), a) = mult(b, mult(a, mult(mult(a, c), mult(b, a)))))))) | (~((~(mult(mult(b, a), mult(mult(a, c), mult(b, a))) = mult(b, mult(a, mult(mult(a, c), mult(b, a)))))) | (~(mult(mult(b, mult(mult(a, c), mult(b, a))), a) = mult(b, mult(mult(mult(a, c), mult(b, a)), a)))))))) <=> ((~![X0: $i, X1: $i, X2: $i] : ((~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X2, X1)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X1, X2)))))) | (~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X1, X2)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X2, X1)))))))) | ((~((~(mult(mult(b, a), mult(mult(a, c), mult(b, a))) = mult(b, mult(a, mult(mult(a, c), mult(b, a)))))) | (~(mult(mult(b, mult(mult(a, c), mult(b, a))), a) = mult(b, mult(mult(mult(a, c), mult(b, a)), a)))))) | (~((~(mult(mult(b, a), mult(mult(a, c), mult(b, a))) = mult(b, mult(mult(mult(a, c), mult(b, a)), a)))) | (~(mult(mult(b, mult(mult(a, c), mult(b, a))), a) = mult(b, mult(a, mult(mult(a, c), mult(b, a))))))))))),
% 6.32/6.55 inference(monotonicity,[status(thm)],[13779])).
% 6.32/6.55 tff(15266,plain,
% 6.32/6.55 (((~![X0: $i, X1: $i, X2: $i] : ((~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X2, X1)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X1, X2)))))) | (~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X1, X2)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X2, X1)))))))) | ((~((~(mult(mult(b, a), mult(mult(a, c), mult(b, a))) = mult(b, mult(mult(mult(a, c), mult(b, a)), a)))) | (~(mult(mult(b, mult(mult(a, c), mult(b, a))), a) = mult(b, mult(a, mult(mult(a, c), mult(b, a)))))))) | (~((~(mult(mult(b, a), mult(mult(a, c), mult(b, a))) = mult(b, mult(a, mult(mult(a, c), mult(b, a)))))) | (~(mult(mult(b, mult(mult(a, c), mult(b, a))), a) = mult(b, mult(mult(mult(a, c), mult(b, a)), a)))))))) <=> ((~![X0: $i, X1: $i, X2: $i] : ((~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X2, X1)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X1, X2)))))) | (~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X1, X2)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X2, X1)))))))) | (~((~(mult(mult(b, a), mult(mult(a, c), mult(b, a))) = mult(b, mult(a, mult(mult(a, c), mult(b, a)))))) | (~(mult(mult(b, mult(mult(a, c), mult(b, a))), a) = mult(b, mult(mult(mult(a, c), mult(b, a)), a)))))) | (~((~(mult(mult(b, a), mult(mult(a, c), mult(b, a))) = mult(b, mult(mult(mult(a, c), mult(b, a)), a)))) | (~(mult(mult(b, mult(mult(a, c), mult(b, a))), a) = mult(b, mult(a, mult(mult(a, c), mult(b, a)))))))))),
% 6.32/6.55 inference(transitivity,[status(thm)],[15265, 13778])).
% 6.32/6.55 tff(15267,plain,
% 6.32/6.55 ((~![X0: $i, X1: $i, X2: $i] : ((~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X2, X1)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X1, X2)))))) | (~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X1, X2)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X2, X1)))))))) | ((~((~(mult(mult(b, a), mult(mult(a, c), mult(b, a))) = mult(b, mult(mult(mult(a, c), mult(b, a)), a)))) | (~(mult(mult(b, mult(mult(a, c), mult(b, a))), a) = mult(b, mult(a, mult(mult(a, c), mult(b, a)))))))) | (~((~(mult(mult(b, a), mult(mult(a, c), mult(b, a))) = mult(b, mult(a, mult(mult(a, c), mult(b, a)))))) | (~(mult(mult(b, mult(mult(a, c), mult(b, a))), a) = mult(b, mult(mult(mult(a, c), mult(b, a)), a)))))))),
% 6.32/6.55 inference(quant_inst,[status(thm)],[])).
% 6.32/6.55 tff(15268,plain,
% 6.32/6.55 ((~![X0: $i, X1: $i, X2: $i] : ((~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X2, X1)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X1, X2)))))) | (~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X1, X2)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X2, X1)))))))) | (~((~(mult(mult(b, a), mult(mult(a, c), mult(b, a))) = mult(b, mult(a, mult(mult(a, c), mult(b, a)))))) | (~(mult(mult(b, mult(mult(a, c), mult(b, a))), a) = mult(b, mult(mult(mult(a, c), mult(b, a)), a)))))) | (~((~(mult(mult(b, a), mult(mult(a, c), mult(b, a))) = mult(b, mult(mult(mult(a, c), mult(b, a)), a)))) | (~(mult(mult(b, mult(mult(a, c), mult(b, a))), a) = mult(b, mult(a, mult(mult(a, c), mult(b, a))))))))),
% 6.32/6.55 inference(modus_ponens,[status(thm)],[15267, 15266])).
% 6.32/6.55 tff(15269,plain,
% 6.32/6.55 ((~((~(mult(mult(b, a), mult(mult(a, c), mult(b, a))) = mult(b, mult(a, mult(mult(a, c), mult(b, a)))))) | (~(mult(mult(b, mult(mult(a, c), mult(b, a))), a) = mult(b, mult(mult(mult(a, c), mult(b, a)), a)))))) | (~((~(mult(mult(b, a), mult(mult(a, c), mult(b, a))) = mult(b, mult(mult(mult(a, c), mult(b, a)), a)))) | (~(mult(mult(b, mult(mult(a, c), mult(b, a))), a) = mult(b, mult(a, mult(mult(a, c), mult(b, a))))))))),
% 6.32/6.55 inference(unit_resolution,[status(thm)],[15268, 30])).
% 6.32/6.55 tff(15270,plain,
% 6.32/6.55 ($false),
% 6.32/6.55 inference(unit_resolution,[status(thm)],[15269, 15264, 15255])).
% 6.32/6.55 tff(15271,plain,((~(mult(mult(mult(b, a), mult(a, c)), mult(b, a)) = mult(mult(b, a), mult(mult(a, c), mult(b, a))))) | (mult(mult(mult(mult(c, a), b), mult(b, a)), a) = mult(mult(mult(c, a), b), mult(mult(b, a), a))) | (~(mult(mult(mult(mult(c, a), b), a), mult(b, a)) = mult(mult(mult(c, a), b), mult(mult(b, a), a)))) | (~(mult(mult(a, mult(c, a)), b) = mult(a, mult(b, mult(c, a))))) | (~(mult(mult(mult(a, c), a), b) = mult(mult(a, c), mult(b, a)))) | (~(mult(mult(a, c), mult(b, a)) = mult(a, mult(c, mult(b, a))))) | (~(mult(mult(c, a), b) = mult(c, mult(b, a)))) | (~(mult(mult(mult(mult(c, a), b), mult(b, a)), a) = mult(mult(mult(c, a), b), mult(a, mult(b, a))))) | (~(mult(mult(mult(mult(c, a), b), a), mult(a, b)) = mult(mult(mult(c, a), b), mult(mult(a, b), a)))) | (~(mult(mult(mult(a, c), a), mult(a, b)) = mult(mult(a, c), mult(mult(a, b), a)))) | (~(mult(mult(a, c), mult(mult(a, b), a)) = mult(a, mult(mult(mult(a, b), a), c))))), inference(lemma,lemma(discharge,[]))).
% 6.32/6.55 tff(15272,plain,
% 6.32/6.55 (~(mult(mult(mult(b, a), mult(a, c)), mult(b, a)) = mult(mult(b, a), mult(mult(a, c), mult(b, a))))),
% 6.32/6.55 inference(unit_resolution,[status(thm)],[15271, 15120, 13368, 1736, 1362, 15220, 342, 15215, 4325, 6854, 15151])).
% 6.32/6.55 tff(15273,plain,
% 6.32/6.55 ((~(mult(mult(mult(b, a), mult(a, c)), mult(b, a)) = mult(mult(b, a), mult(mult(a, c), mult(b, a))))) | (~(mult(mult(mult(b, a), mult(b, a)), mult(a, c)) = mult(mult(b, a), mult(mult(b, a), mult(a, c)))))),
% 6.32/6.55 inference(unit_resolution,[status(thm)],[11151, 15272])).
% 6.32/6.55 tff(15274,plain,
% 6.32/6.55 (~((~(mult(mult(mult(b, a), mult(b, a)), mult(a, c)) = mult(mult(b, a), mult(mult(a, c), mult(b, a))))) | (~(mult(mult(mult(b, a), mult(a, c)), mult(b, a)) = mult(mult(b, a), mult(mult(b, a), mult(a, c))))))),
% 6.32/6.55 inference(unit_resolution,[status(thm)],[11149, 15273])).
% 6.32/6.55 tff(15275,plain,
% 6.32/6.55 (mult(mult(mult(b, a), mult(a, c)), mult(b, a)) = mult(mult(b, a), mult(mult(b, a), mult(a, c)))),
% 6.32/6.55 inference(unit_resolution,[status(thm)],[11137, 15274])).
% 6.32/6.55 tff(15276,plain,
% 6.32/6.55 (mult(mult(b, a), mult(mult(b, a), mult(a, c))) = mult(mult(mult(b, a), mult(a, c)), mult(b, a))),
% 6.32/6.55 inference(symmetry,[status(thm)],[15275])).
% 6.32/6.55 tff(15277,plain,
% 6.32/6.55 (mult(mult(mult(c, a), b), a) = mult(mult(b, mult(c, a)), a)),
% 6.32/6.55 inference(symmetry,[status(thm)],[15129])).
% 6.32/6.55 tff(15278,plain,
% 6.32/6.55 (mult(mult(mult(c, a), b), a) = mult(mult(b, a), mult(a, c))),
% 6.32/6.55 inference(transitivity,[status(thm)],[15277, 4657, 3530])).
% 6.32/6.55 tff(15279,plain,
% 6.32/6.55 (mult(mult(b, a), mult(mult(mult(c, a), b), a)) = mult(mult(b, a), mult(mult(b, a), mult(a, c)))),
% 6.32/6.55 inference(monotonicity,[status(thm)],[15278])).
% 6.32/6.55 tff(15280,plain,
% 6.32/6.55 (mult(mult(b, a), mult(c, mult(mult(a, b), a))) = mult(mult(mult(c, a), b), mult(mult(b, a), a))),
% 6.32/6.55 inference(transitivity,[status(thm)],[11223, 15279, 15276, 15214, 9768, 13368])).
% 6.32/6.55 tff(15281,plain,
% 6.32/6.55 (mult(mult(mult(b, a), c), mult(mult(a, b), a)) = mult(mult(mult(mult(c, a), b), mult(b, a)), a)),
% 6.32/6.55 inference(transitivity,[status(thm)],[11155, 15127, 4345, 15216])).
% 6.32/6.55 tff(15282,plain,
% 6.32/6.55 ((mult(mult(mult(b, a), c), mult(mult(a, b), a)) = mult(mult(b, a), mult(c, mult(mult(a, b), a)))) <=> (mult(mult(mult(mult(c, a), b), mult(b, a)), a) = mult(mult(mult(c, a), b), mult(mult(b, a), a)))),
% 6.32/6.55 inference(monotonicity,[status(thm)],[15281, 15280])).
% 6.32/6.55 tff(15283,plain,
% 6.32/6.55 ((mult(mult(mult(mult(c, a), b), mult(b, a)), a) = mult(mult(mult(c, a), b), mult(mult(b, a), a))) <=> (mult(mult(mult(b, a), c), mult(mult(a, b), a)) = mult(mult(b, a), mult(c, mult(mult(a, b), a))))),
% 6.32/6.55 inference(symmetry,[status(thm)],[15282])).
% 6.32/6.55 tff(15284,plain,
% 6.32/6.55 ((mult(mult(mult(mult(c, a), b), mult(b, a)), a) = mult(mult(mult(c, a), b), mult(mult(b, a), a))) <=> (mult(mult(mult(b, a), mult(mult(c, a), b)), a) = mult(mult(b, a), mult(mult(mult(c, a), b), a)))),
% 6.32/6.55 inference(transitivity,[status(thm)],[15283, 15212])).
% 6.32/6.55 tff(15285,plain,
% 6.32/6.55 ((~(mult(mult(mult(mult(c, a), b), mult(b, a)), a) = mult(mult(mult(c, a), b), mult(mult(b, a), a)))) <=> (~(mult(mult(mult(b, a), mult(mult(c, a), b)), a) = mult(mult(b, a), mult(mult(mult(c, a), b), a))))),
% 6.32/6.55 inference(monotonicity,[status(thm)],[15284])).
% 6.32/6.55 tff(15286,plain,
% 6.32/6.55 (~(mult(mult(mult(b, a), mult(mult(c, a), b)), a) = mult(mult(b, a), mult(mult(mult(c, a), b), a)))),
% 6.32/6.55 inference(modus_ponens,[status(thm)],[15220, 15285])).
% 6.32/6.55 tff(15287,plain,
% 6.32/6.55 ((~(mult(mult(mult(b, a), a), mult(mult(c, a), b)) = mult(mult(b, a), mult(a, mult(mult(c, a), b))))) | (~(mult(mult(mult(b, a), mult(mult(c, a), b)), a) = mult(mult(b, a), mult(mult(mult(c, a), b), a))))),
% 6.32/6.55 inference(unit_resolution,[status(thm)],[11220, 15286])).
% 6.32/6.55 tff(15288,plain,
% 6.32/6.55 (~((~(mult(mult(mult(b, a), a), mult(mult(c, a), b)) = mult(mult(b, a), mult(mult(mult(c, a), b), a)))) | (~(mult(mult(mult(b, a), mult(mult(c, a), b)), a) = mult(mult(b, a), mult(a, mult(mult(c, a), b))))))),
% 6.32/6.55 inference(unit_resolution,[status(thm)],[11218, 15287])).
% 6.32/6.55 tff(15289,plain,
% 6.32/6.55 (mult(mult(mult(b, a), mult(mult(c, a), b)), a) = mult(mult(b, a), mult(a, mult(mult(c, a), b)))),
% 6.32/6.55 inference(unit_resolution,[status(thm)],[11210, 15288])).
% 6.32/6.55 tff(15290,plain,
% 6.32/6.55 (mult(a, mult(c, mult(b, a))) = mult(a, mult(mult(b, a), c))),
% 6.32/6.55 inference(transitivity,[status(thm)],[15195, 1720, 13395, 1736, 5246])).
% 6.32/6.55 tff(15291,plain,
% 6.32/6.55 ((mult(mult(a, mult(b, a)), c) = mult(a, mult(c, mult(b, a)))) <=> (mult(mult(a, mult(b, a)), c) = mult(a, mult(mult(b, a), c)))),
% 6.32/6.55 inference(monotonicity,[status(thm)],[15290])).
% 6.32/6.55 tff(15292,plain,
% 6.32/6.55 ((mult(mult(a, mult(b, a)), c) = mult(a, mult(mult(b, a), c))) <=> (mult(mult(a, mult(b, a)), c) = mult(a, mult(c, mult(b, a))))),
% 6.32/6.55 inference(symmetry,[status(thm)],[15291])).
% 6.32/6.55 tff(15293,plain,
% 6.32/6.55 (mult(mult(a, mult(b, a)), c) = mult(a, mult(c, mult(b, a)))),
% 6.32/6.55 inference(modus_ponens,[status(thm)],[15191, 15292])).
% 6.32/6.55 tff(15294,plain,
% 6.32/6.55 ((~(mult(mult(mult(mult(c, a), b), mult(b, a)), a) = mult(mult(mult(c, a), b), mult(mult(b, a), a)))) <=> (~(mult(mult(mult(b, a), c), mult(mult(a, b), a)) = mult(mult(b, a), mult(c, mult(mult(a, b), a)))))),
% 6.32/6.55 inference(monotonicity,[status(thm)],[15283])).
% 6.32/6.55 tff(15295,plain,
% 6.32/6.55 (~(mult(mult(mult(b, a), c), mult(mult(a, b), a)) = mult(mult(b, a), mult(c, mult(mult(a, b), a))))),
% 6.32/6.55 inference(modus_ponens,[status(thm)],[15220, 15294])).
% 6.32/6.55 tff(15296,plain,
% 6.32/6.55 ((~(mult(mult(mult(b, a), mult(mult(a, b), a)), c) = mult(mult(b, a), mult(mult(mult(a, b), a), c)))) | (~(mult(mult(mult(b, a), c), mult(mult(a, b), a)) = mult(mult(b, a), mult(c, mult(mult(a, b), a)))))),
% 6.32/6.55 inference(unit_resolution,[status(thm)],[11230, 15295])).
% 6.32/6.55 tff(15297,plain,
% 6.32/6.55 (~((~(mult(mult(mult(b, a), mult(mult(a, b), a)), c) = mult(mult(b, a), mult(c, mult(mult(a, b), a))))) | (~(mult(mult(mult(b, a), c), mult(mult(a, b), a)) = mult(mult(b, a), mult(mult(mult(a, b), a), c)))))),
% 6.32/6.55 inference(unit_resolution,[status(thm)],[11235, 15296])).
% 6.32/6.55 tff(15298,plain,
% 6.32/6.55 (mult(mult(mult(b, a), c), mult(mult(a, b), a)) = mult(mult(b, a), mult(mult(mult(a, b), a), c))),
% 6.32/6.55 inference(unit_resolution,[status(thm)],[11237, 15297])).
% 6.32/6.55 tff(15299,plain,
% 6.32/6.55 (~(mult(mult(mult(b, a), mult(c, a)), b) = mult(mult(b, a), mult(mult(c, a), b)))),
% 6.32/6.55 inference(unit_resolution,[status(thm)],[14299, 15298, 15293, 15289, 15126, 342])).
% 6.32/6.55 tff(15300,plain,
% 6.32/6.55 ((~(mult(mult(mult(b, a), b), mult(c, a)) = mult(mult(b, a), mult(b, mult(c, a))))) | (~(mult(mult(mult(b, a), mult(c, a)), b) = mult(mult(b, a), mult(mult(c, a), b))))),
% 6.32/6.55 inference(unit_resolution,[status(thm)],[14301, 15299])).
% 6.32/6.55 tff(15301,plain,
% 6.32/6.55 (~((~(mult(mult(mult(b, a), b), mult(c, a)) = mult(mult(b, a), mult(mult(c, a), b)))) | (~(mult(mult(mult(b, a), mult(c, a)), b) = mult(mult(b, a), mult(b, mult(c, a))))))),
% 6.32/6.55 inference(unit_resolution,[status(thm)],[14313, 15300])).
% 6.32/6.55 tff(15302,plain,
% 6.32/6.55 (mult(mult(mult(b, a), mult(c, a)), b) = mult(mult(b, a), mult(b, mult(c, a)))),
% 6.32/6.55 inference(unit_resolution,[status(thm)],[14315, 15301])).
% 6.32/6.55 tff(15303,plain,
% 6.32/6.55 (mult(mult(mult(b, a), mult(c, a)), b) = mult(mult(b, a), mult(mult(c, a), b))),
% 6.32/6.55 inference(modus_ponens,[status(thm)],[15302, 15125])).
% 6.32/6.55 tff(15304,plain,
% 6.32/6.55 ($false),
% 6.32/6.55 inference(unit_resolution,[status(thm)],[15299, 15303])).
% 6.32/6.55 tff(15305,plain,((mult(mult(a, mult(b, mult(c, a))), a) = mult(a, mult(mult(b, mult(c, a)), a))) | (~(mult(mult(a, mult(c, a)), b) = mult(a, mult(b, mult(c, a))))) | (~(mult(mult(mult(a, c), a), b) = mult(mult(a, c), mult(b, a)))) | (~(mult(mult(c, a), b) = mult(c, mult(b, a)))) | (~(mult(mult(mult(mult(c, a), b), a), mult(a, b)) = mult(mult(mult(c, a), b), mult(mult(a, b), a)))) | (~(mult(mult(a, a), mult(b, a)) = mult(a, mult(a, mult(b, a))))) | (mult(mult(mult(a, c), b), a) = mult(mult(a, c), mult(b, a))) | (mult(a, b) = mult(b, a)) | (~(mult(mult(mult(b, a), b), a) = mult(mult(b, a), mult(b, a)))) | (~(mult(mult(b, mult(a, b)), a) = mult(b, mult(mult(a, b), a)))) | (~(mult(mult(mult(mult(a, a), b), a), c) = mult(mult(mult(a, a), b), mult(c, a)))) | (~(mult(mult(c, a), mult(a, b)) = mult(c, mult(mult(a, b), a)))) | (~(mult(mult(mult(a, b), c), a) = mult(mult(a, b), mult(a, c)))) | (~(mult(mult(mult(b, a), a), b) = mult(mult(b, a), mult(a, b)))) | (mult(mult(c, mult(b, a)), a) = mult(c, mult(mult(b, a), a)))), inference(lemma,lemma(discharge,[]))).
% 6.32/6.55 tff(15306,plain,
% 6.32/6.55 (mult(mult(a, mult(b, mult(c, a))), a) = mult(a, mult(mult(b, mult(c, a)), a))),
% 6.32/6.55 inference(unit_resolution,[status(thm)],[15305, 13259, 9012, 3071, 4317, 10404, 13267, 1, 10673, 10688, 13363, 9240, 10408, 4649, 4543])).
% 6.32/6.55 tff(15307,plain,
% 6.32/6.55 (mult(mult(a, mult(b, mult(c, a))), a) = mult(mult(mult(a, c), mult(b, a)), a)),
% 6.32/6.55 inference(monotonicity,[status(thm)],[15041])).
% 6.32/6.55 tff(15308,plain,
% 6.32/6.55 (mult(mult(mult(a, c), mult(b, a)), a) = mult(mult(a, mult(b, mult(c, a))), a)),
% 6.32/6.55 inference(symmetry,[status(thm)],[15307])).
% 6.32/6.55 tff(15309,plain,
% 6.32/6.55 (~(mult(mult(a, c), mult(mult(a, b), a)) = mult(a, mult(c, mult(mult(a, b), a))))),
% 6.32/6.55 inference(unit_resolution,[status(thm)],[13592, 13383, 1362, 13577, 13541, 1736])).
% 6.32/6.55 tff(15310,plain,
% 6.32/6.55 (~((~(mult(mult(a, c), mult(mult(a, b), a)) = mult(a, mult(mult(mult(a, b), a), c)))) | (~(mult(mult(a, mult(mult(a, b), a)), c) = mult(a, mult(c, mult(mult(a, b), a))))))),
% 6.32/6.55 inference(unit_resolution,[status(thm)],[13294, 15309])).
% 6.32/6.55 tff(15311,plain,
% 6.32/6.55 (mult(mult(a, c), mult(mult(a, b), a)) = mult(a, mult(mult(mult(a, b), a), c))),
% 6.32/6.56 inference(unit_resolution,[status(thm)],[13412, 15310])).
% 6.32/6.56 tff(15312,plain,
% 6.32/6.56 (mult(a, mult(mult(mult(a, b), a), c)) = mult(mult(a, c), mult(mult(a, b), a))),
% 6.32/6.56 inference(symmetry,[status(thm)],[15311])).
% 6.32/6.56 tff(15313,plain,
% 6.32/6.56 (mult(a, mult(mult(mult(a, b), a), c)) = mult(a, mult(mult(b, a), mult(a, c)))),
% 6.32/6.56 inference(transitivity,[status(thm)],[15312, 10732, 11500, 15308, 13577, 13950])).
% 6.32/6.56 tff(15314,plain,
% 6.32/6.56 (ld(a, mult(a, mult(mult(mult(a, b), a), c))) = ld(a, mult(a, mult(mult(b, a), mult(a, c))))),
% 6.32/6.56 inference(monotonicity,[status(thm)],[15313])).
% 6.32/6.56 tff(15315,plain,
% 6.32/6.56 (mult(a, mult(mult(c, a), b)) = mult(mult(b, a), mult(a, c))),
% 6.32/6.56 inference(transitivity,[status(thm)],[352, 3830, 8336, 11988, 15314, 12181])).
% 6.32/6.56 tff(15316,plain,
% 6.32/6.56 (mult(mult(a, mult(mult(c, a), b)), mult(a, b)) = mult(mult(mult(b, a), mult(a, c)), mult(a, b))),
% 6.32/6.56 inference(monotonicity,[status(thm)],[15315])).
% 6.32/6.56 tff(15317,plain,
% 6.32/6.56 (mult(mult(mult(b, a), mult(a, c)), mult(a, b)) = mult(mult(a, mult(mult(c, a), b)), mult(a, b))),
% 6.32/6.56 inference(symmetry,[status(thm)],[15316])).
% 6.32/6.56 tff(15318,plain,
% 6.32/6.56 ((~(mult(mult(a, mult(b, mult(c, a))), a) = mult(a, mult(a, mult(b, mult(c, a)))))) | (mult(mult(a, c), mult(b, a)) = mult(a, mult(c, mult(b, a)))) | (~(mult(mult(a, c), mult(mult(a, b), a)) = mult(a, mult(mult(mult(a, b), a), c)))) | (~(mult(mult(mult(a, c), a), b) = mult(mult(a, c), mult(b, a))))),
% 6.32/6.56 inference(unit_resolution,[status(thm)],[14211, 4193])).
% 6.32/6.56 tff(15319,plain,
% 6.32/6.56 (~(mult(mult(a, mult(b, mult(c, a))), a) = mult(a, mult(a, mult(b, mult(c, a)))))),
% 6.32/6.56 inference(unit_resolution,[status(thm)],[15318, 15311, 1362, 119])).
% 6.32/6.56 tff(15320,plain,
% 6.32/6.56 ((~(mult(mult(a, a), mult(b, mult(c, a))) = mult(a, mult(mult(b, mult(c, a)), a)))) | (~(mult(mult(a, mult(b, mult(c, a))), a) = mult(a, mult(a, mult(b, mult(c, a))))))),
% 6.32/6.56 inference(unit_resolution,[status(thm)],[13393, 15319])).
% 6.32/6.56 tff(15321,plain,
% 6.32/6.56 (~((~(mult(mult(a, a), mult(b, mult(c, a))) = mult(a, mult(a, mult(b, mult(c, a)))))) | (~(mult(mult(a, mult(b, mult(c, a))), a) = mult(a, mult(mult(b, mult(c, a)), a)))))),
% 6.32/6.56 inference(unit_resolution,[status(thm)],[13568, 30, 15320])).
% 6.32/6.56 tff(15322,plain,
% 6.32/6.56 (mult(mult(a, a), mult(b, mult(c, a))) = mult(a, mult(a, mult(b, mult(c, a))))),
% 6.32/6.56 inference(unit_resolution,[status(thm)],[13608, 15321])).
% 6.32/6.56 tff(15323,plain,
% 6.32/6.56 (mult(mult(a, mult(c, a)), mult(a, b)) = mult(a, mult(mult(a, b), mult(c, a)))),
% 6.32/6.56 inference(unit_resolution,[status(thm)],[13674, 15311, 6854])).
% 6.32/6.56 tff(15324,plain,
% 6.32/6.56 (~(mult(mult(a, mult(mult(c, a), b)), a) = mult(a, mult(a, mult(mult(c, a), b))))),
% 6.32/6.56 inference(unit_resolution,[status(thm)],[14936, 15323, 342, 6854, 1362, 119])).
% 6.32/6.56 tff(15325,plain,
% 6.32/6.56 (~(mult(mult(a, mult(b, a)), mult(a, c)) = mult(a, mult(mult(b, a), mult(a, c))))),
% 6.32/6.56 inference(unit_resolution,[status(thm)],[14925, 15324, 1736, 15323, 6854, 13577, 1362, 13541, 13459])).
% 6.32/6.56 tff(15326,plain,
% 6.32/6.56 ((~(mult(mult(a, mult(a, c)), mult(b, a)) = mult(a, mult(mult(a, c), mult(b, a))))) | (~(mult(mult(a, mult(b, a)), mult(a, c)) = mult(a, mult(mult(b, a), mult(a, c)))))),
% 6.32/6.56 inference(unit_resolution,[status(thm)],[11059, 15325])).
% 6.32/6.56 tff(15327,plain,
% 6.32/6.56 (~((~(mult(mult(a, mult(a, c)), mult(b, a)) = mult(a, mult(mult(b, a), mult(a, c))))) | (~(mult(mult(a, mult(b, a)), mult(a, c)) = mult(a, mult(mult(a, c), mult(b, a))))))),
% 6.32/6.56 inference(unit_resolution,[status(thm)],[11064, 15326])).
% 6.32/6.56 tff(15328,plain,
% 6.32/6.56 (mult(mult(a, mult(a, c)), mult(b, a)) = mult(a, mult(mult(b, a), mult(a, c)))),
% 6.32/6.56 inference(unit_resolution,[status(thm)],[11075, 15327])).
% 6.32/6.56 tff(15329,plain,
% 6.32/6.56 (mult(mult(mult(a, a), c), mult(b, a)) = mult(a, mult(mult(b, mult(c, a)), a))),
% 6.32/6.56 inference(transitivity,[status(thm)],[13603, 15328, 13949])).
% 6.32/6.56 tff(15330,plain,
% 6.32/6.56 ((mult(mult(mult(a, a), c), mult(b, a)) = mult(mult(a, a), mult(mult(b, a), c))) <=> (mult(a, mult(mult(b, mult(c, a)), a)) = mult(mult(a, a), mult(b, mult(c, a))))),
% 6.32/6.56 inference(monotonicity,[status(thm)],[15329, 13492])).
% 6.32/6.56 tff(15331,plain,
% 6.32/6.56 ((mult(mult(mult(a, a), c), mult(b, a)) = mult(mult(a, a), mult(mult(b, a), c))) <=> (mult(mult(a, a), mult(b, mult(c, a))) = mult(a, mult(mult(b, mult(c, a)), a)))),
% 6.32/6.56 inference(transitivity,[status(thm)],[15330, 13597])).
% 6.32/6.56 tff(15332,plain,
% 6.32/6.56 ((mult(mult(a, a), mult(b, mult(c, a))) = mult(a, mult(mult(b, mult(c, a)), a))) <=> (mult(mult(mult(a, a), c), mult(b, a)) = mult(mult(a, a), mult(mult(b, a), c)))),
% 6.32/6.56 inference(symmetry,[status(thm)],[15331])).
% 6.32/6.56 tff(15333,plain,
% 6.32/6.56 (mult(a, mult(mult(mult(a, b), a), c)) = mult(a, mult(a, mult(mult(c, a), b)))),
% 6.32/6.56 inference(symmetry,[status(thm)],[14041])).
% 6.32/6.56 tff(15334,plain,
% 6.32/6.56 (mult(a, mult(mult(b, mult(c, a)), a)) = mult(a, mult(a, mult(mult(c, a), b)))),
% 6.32/6.56 inference(transitivity,[status(thm)],[13740, 15307, 11029, 10731, 15311, 15333])).
% 6.32/6.56 tff(15335,plain,
% 6.32/6.56 (mult(mult(a, mult(b, a)), mult(a, c)) = mult(a, mult(mult(a, c), mult(b, a)))),
% 6.32/6.56 inference(unit_resolution,[status(thm)],[11066, 15327])).
% 6.32/6.56 tff(15336,plain,
% 6.32/6.56 (mult(a, mult(mult(a, c), mult(b, a))) = mult(mult(a, mult(b, a)), mult(a, c))),
% 6.32/6.56 inference(symmetry,[status(thm)],[15335])).
% 6.32/6.56 tff(15337,plain,
% 6.32/6.56 (mult(mult(a, a), mult(b, mult(c, a))) = mult(mult(a, mult(mult(c, a), b)), a)),
% 6.32/6.56 inference(transitivity,[status(thm)],[15322, 15042, 15336, 11015, 13459, 11097, 14103])).
% 6.32/6.56 tff(15338,plain,
% 6.32/6.56 ((mult(mult(a, a), mult(b, mult(c, a))) = mult(a, mult(mult(b, mult(c, a)), a))) <=> (mult(mult(a, mult(mult(c, a), b)), a) = mult(a, mult(a, mult(mult(c, a), b))))),
% 6.32/6.56 inference(monotonicity,[status(thm)],[15337, 15334])).
% 6.32/6.56 tff(15339,plain,
% 6.32/6.56 ((mult(mult(a, mult(mult(c, a), b)), a) = mult(a, mult(a, mult(mult(c, a), b)))) <=> (mult(mult(a, a), mult(b, mult(c, a))) = mult(a, mult(mult(b, mult(c, a)), a)))),
% 6.32/6.56 inference(symmetry,[status(thm)],[15338])).
% 6.32/6.56 tff(15340,plain,
% 6.32/6.56 ((mult(mult(a, mult(mult(c, a), b)), a) = mult(a, mult(a, mult(mult(c, a), b)))) <=> (mult(mult(mult(a, a), c), mult(b, a)) = mult(mult(a, a), mult(mult(b, a), c)))),
% 6.32/6.56 inference(transitivity,[status(thm)],[15339, 15332])).
% 6.32/6.56 tff(15341,plain,
% 6.32/6.56 ((~(mult(mult(a, mult(mult(c, a), b)), a) = mult(a, mult(a, mult(mult(c, a), b))))) <=> (~(mult(mult(mult(a, a), c), mult(b, a)) = mult(mult(a, a), mult(mult(b, a), c))))),
% 6.32/6.56 inference(monotonicity,[status(thm)],[15340])).
% 6.32/6.56 tff(15342,plain,
% 6.32/6.56 (~(mult(mult(mult(a, a), c), mult(b, a)) = mult(mult(a, a), mult(mult(b, a), c)))),
% 6.32/6.56 inference(modus_ponens,[status(thm)],[15324, 15341])).
% 6.32/6.56 tff(15343,plain,
% 6.32/6.56 ((~(mult(mult(mult(a, a), c), mult(b, a)) = mult(mult(a, a), mult(mult(b, a), c)))) | (~(mult(mult(mult(a, a), mult(b, a)), c) = mult(mult(a, a), mult(c, mult(b, a)))))),
% 6.32/6.56 inference(unit_resolution,[status(thm)],[13498, 15342])).
% 6.32/6.56 tff(15344,plain,
% 6.32/6.56 (~((~(mult(mult(mult(a, a), c), mult(b, a)) = mult(mult(a, a), mult(c, mult(b, a))))) | (~(mult(mult(mult(a, a), mult(b, a)), c) = mult(mult(a, a), mult(mult(b, a), c)))))),
% 6.32/6.56 inference(unit_resolution,[status(thm)],[11117, 15343])).
% 6.32/6.56 tff(15345,plain,
% 6.32/6.56 (mult(mult(mult(a, a), mult(b, a)), c) = mult(mult(a, a), mult(mult(b, a), c))),
% 6.32/6.56 inference(unit_resolution,[status(thm)],[13495, 15344])).
% 6.32/6.56 tff(15346,plain,
% 6.32/6.56 (mult(mult(a, mult(mult(a, b), a)), c) = mult(a, mult(c, mult(mult(a, b), a)))),
% 6.32/6.56 inference(unit_resolution,[status(thm)],[13296, 15310])).
% 6.32/6.56 tff(15347,plain,
% 6.32/6.56 (mult(mult(mult(mult(b, a), mult(a, c)), a), b) = mult(mult(mult(b, a), mult(a, c)), mult(b, a))),
% 6.32/6.56 inference(unit_resolution,[status(thm)],[7886, 11887])).
% 6.32/6.56 tff(15348,plain,
% 6.32/6.56 ((mult(mult(mult(mult(b, a), mult(a, c)), b), a) = mult(mult(mult(b, a), mult(a, c)), mult(b, a))) <=> (mult(mult(mult(b, a), mult(a, c)), mult(a, b)) = mult(mult(mult(mult(b, a), mult(a, c)), a), b))),
% 6.32/6.56 inference(monotonicity,[status(thm)],[11316, 11411])).
% 6.32/6.56 tff(15349,plain,
% 6.32/6.56 ((mult(mult(mult(mult(b, a), mult(a, c)), b), a) = mult(mult(mult(b, a), mult(a, c)), mult(b, a))) <=> (mult(mult(mult(mult(b, a), mult(a, c)), a), b) = mult(mult(mult(b, a), mult(a, c)), mult(a, b)))),
% 6.32/6.56 inference(transitivity,[status(thm)],[15348, 7896])).
% 6.32/6.56 tff(15350,plain,
% 6.32/6.56 ((mult(mult(mult(mult(b, a), mult(a, c)), a), b) = mult(mult(mult(b, a), mult(a, c)), mult(a, b))) <=> (mult(mult(mult(mult(b, a), mult(a, c)), b), a) = mult(mult(mult(b, a), mult(a, c)), mult(b, a)))),
% 6.32/6.56 inference(symmetry,[status(thm)],[15349])).
% 6.32/6.56 tff(15351,plain,
% 6.32/6.56 (mult(mult(b, mult(c, a)), mult(a, mult(b, a))) = mult(mult(mult(b, a), mult(a, c)), mult(a, b))),
% 6.32/6.56 inference(transitivity,[status(thm)],[4195, 7884, 11388, 11316])).
% 6.32/6.56 tff(15352,plain,
% 6.32/6.56 (mult(mult(mult(b, mult(c, a)), a), mult(b, a)) = mult(mult(mult(mult(b, a), mult(a, c)), a), b)),
% 6.32/6.56 inference(transitivity,[status(thm)],[3534, 11411])).
% 6.32/6.56 tff(15353,plain,
% 6.32/6.56 ((mult(mult(mult(b, mult(c, a)), a), mult(b, a)) = mult(mult(b, mult(c, a)), mult(a, mult(b, a)))) <=> (mult(mult(mult(mult(b, a), mult(a, c)), a), b) = mult(mult(mult(b, a), mult(a, c)), mult(a, b)))),
% 6.32/6.56 inference(monotonicity,[status(thm)],[15352, 15351])).
% 6.32/6.56 tff(15354,plain,
% 6.32/6.56 ((mult(mult(mult(b, mult(c, a)), a), mult(b, a)) = mult(mult(b, mult(c, a)), mult(a, mult(b, a)))) <=> (mult(mult(mult(mult(b, a), mult(a, c)), b), a) = mult(mult(mult(b, a), mult(a, c)), mult(b, a)))),
% 6.32/6.56 inference(transitivity,[status(thm)],[15353, 15350])).
% 6.32/6.56 tff(15355,plain,
% 6.32/6.56 (mult(mult(mult(mult(b, a), mult(a, c)), b), a) = mult(mult(mult(b, a), mult(a, c)), mult(b, a))),
% 6.32/6.56 inference(modus_ponens,[status(thm)],[11131, 15354])).
% 6.32/6.56 tff(15356,plain,
% 6.32/6.56 ($false),
% 6.32/6.56 inference(unit_resolution,[status(thm)],[11885, 15355])).
% 6.32/6.56 tff(15357,plain,((~(mult(mult(mult(b, mult(c, a)), a), mult(b, a)) = mult(mult(b, mult(c, a)), mult(a, mult(b, a))))) | (mult(mult(mult(mult(b, a), mult(a, c)), b), a) = mult(mult(mult(b, a), mult(a, c)), mult(b, a))) | (~(mult(mult(mult(mult(b, a), mult(a, c)), a), b) = mult(mult(mult(b, a), mult(a, c)), mult(b, a)))) | (~(mult(mult(mult(mult(b, a), mult(a, c)), b), a) = mult(mult(mult(b, a), mult(a, c)), mult(a, b))))), inference(lemma,lemma(discharge,[]))).
% 6.32/6.56 tff(15358,plain,
% 6.32/6.56 ($false),
% 6.32/6.56 inference(unit_resolution,[status(thm)],[15357, 15347, 11888, 11131, 11885])).
% 6.32/6.56 tff(15359,plain,((mult(mult(mult(mult(b, a), mult(a, c)), b), a) = mult(mult(mult(b, a), mult(a, c)), mult(b, a))) | (~(mult(mult(mult(b, mult(c, a)), a), mult(b, a)) = mult(mult(b, mult(c, a)), mult(a, mult(b, a)))))), inference(lemma,lemma(discharge,[]))).
% 6.32/6.56 tff(15360,plain,
% 6.32/6.56 (mult(mult(mult(mult(b, a), mult(a, c)), b), a) = mult(mult(mult(b, a), mult(a, c)), mult(b, a))),
% 6.32/6.56 inference(unit_resolution,[status(thm)],[15359, 14939])).
% 6.32/6.56 tff(15361,plain,
% 6.32/6.56 (~(mult(mult(a, mult(a, b)), mult(c, a)) = mult(a, mult(mult(a, b), mult(c, a))))),
% 6.32/6.56 inference(unit_resolution,[status(thm)],[13660, 15309, 12437])).
% 6.32/6.56 tff(15362,plain,
% 6.32/6.56 (mult(mult(a, mult(a, b)), mult(c, a)) = mult(a, mult(mult(c, a), mult(a, b)))),
% 6.32/6.56 inference(unit_resolution,[status(thm)],[13333, 15361])).
% 6.32/6.56 tff(15363,plain,
% 6.32/6.56 (mult(mult(mult(a, a), b), mult(c, a)) = mult(mult(a, a), mult(b, mult(c, a)))),
% 6.32/6.56 inference(modus_ponens,[status(thm)],[15345, 13678])).
% 6.32/6.56 tff(15364,plain,
% 6.32/6.56 (~(mult(mult(a, mult(b, mult(c, a))), b) = mult(a, mult(mult(b, mult(c, a)), b)))),
% 6.32/6.56 inference(unit_resolution,[status(thm)],[13718, 15363, 342, 6854, 119, 1362, 15323, 15362, 13577, 15322, 9263])).
% 6.32/6.56 tff(15365,plain,
% 6.32/6.56 ((~(mult(mult(a, b), mult(b, mult(c, a))) = mult(a, mult(b, mult(b, mult(c, a)))))) | (~(mult(mult(a, mult(b, mult(c, a))), b) = mult(a, mult(mult(b, mult(c, a)), b))))),
% 6.32/6.56 inference(unit_resolution,[status(thm)],[13720, 15364])).
% 6.32/6.56 tff(15366,plain,
% 6.32/6.56 (~((~(mult(mult(a, b), mult(b, mult(c, a))) = mult(a, mult(mult(b, mult(c, a)), b)))) | (~(mult(mult(a, mult(b, mult(c, a))), b) = mult(a, mult(b, mult(b, mult(c, a)))))))),
% 6.32/6.56 inference(unit_resolution,[status(thm)],[13725, 15365])).
% 6.32/6.56 tff(15367,plain,
% 6.32/6.56 (mult(mult(a, b), mult(b, mult(c, a))) = mult(a, mult(mult(b, mult(c, a)), b))),
% 6.32/6.56 inference(unit_resolution,[status(thm)],[13727, 15366])).
% 6.32/6.56 tff(15368,plain,
% 6.32/6.56 (mult(a, mult(mult(a, c), mult(b, a))) = mult(a, mult(a, mult(b, mult(c, a))))),
% 6.32/6.56 inference(symmetry,[status(thm)],[15042])).
% 6.32/6.56 tff(15369,plain,
% 6.32/6.56 (mult(a, mult(mult(a, c), mult(b, a))) = mult(a, mult(c, mult(mult(a, b), a)))),
% 6.32/6.56 inference(transitivity,[status(thm)],[15368, 13693, 13493, 13817, 13596, 13299])).
% 6.32/6.56 tff(15370,plain,
% 6.32/6.56 (ld(a, mult(a, mult(mult(a, c), mult(b, a)))) = ld(a, mult(a, mult(c, mult(mult(a, b), a))))),
% 6.32/6.56 inference(monotonicity,[status(thm)],[15369])).
% 6.32/6.56 tff(15371,plain,
% 6.32/6.56 (ld(a, mult(a, mult(c, mult(mult(a, b), a)))) = ld(a, mult(a, mult(mult(a, c), mult(b, a))))),
% 6.32/6.56 inference(symmetry,[status(thm)],[15370])).
% 6.32/6.56 tff(15372,plain,
% 6.32/6.56 (mult(mult(mult(c, a), b), a) = mult(mult(a, c), mult(b, a))),
% 6.32/6.56 inference(transitivity,[status(thm)],[2807, 13624, 15371, 10815])).
% 6.32/6.56 tff(15373,plain,
% 6.32/6.56 (mult(mult(b, a), mult(mult(mult(c, a), b), a)) = mult(mult(b, a), mult(mult(a, c), mult(b, a)))),
% 6.32/6.56 inference(monotonicity,[status(thm)],[15372])).
% 6.32/6.56 tff(15374,plain,
% 6.32/6.56 ((~![B: $i, A: $i] : (rd(mult(A, B), B) = A)) | (rd(mult(mult(mult(mult(a, b), mult(c, a)), b), a), a) = mult(mult(mult(a, b), mult(c, a)), b))),
% 6.32/6.56 inference(quant_inst,[status(thm)],[])).
% 6.32/6.56 tff(15375,plain,
% 6.32/6.56 (rd(mult(mult(mult(mult(a, b), mult(c, a)), b), a), a) = mult(mult(mult(a, b), mult(c, a)), b)),
% 6.32/6.56 inference(unit_resolution,[status(thm)],[15374, 72])).
% 6.32/6.56 tff(15376,plain,
% 6.32/6.56 (mult(a, mult(mult(c, a), b)) = mult(mult(a, b), mult(c, a))),
% 6.32/6.56 inference(transitivity,[status(thm)],[352, 2010, 8336, 9222])).
% 6.32/6.56 tff(15377,plain,
% 6.32/6.56 (mult(mult(a, mult(mult(c, a), b)), b) = mult(mult(mult(a, b), mult(c, a)), b)),
% 6.32/6.56 inference(monotonicity,[status(thm)],[15376])).
% 6.32/6.56 tff(15378,plain,
% 6.32/6.56 (mult(mult(mult(a, b), mult(c, a)), b) = mult(mult(a, mult(mult(c, a), b)), b)),
% 6.32/6.56 inference(symmetry,[status(thm)],[15377])).
% 6.32/6.56 tff(15379,plain,
% 6.32/6.56 (mult(mult(mult(mult(a, b), mult(c, a)), b), a) = mult(mult(mult(a, mult(mult(c, a), b)), b), a)),
% 6.32/6.56 inference(monotonicity,[status(thm)],[15378])).
% 6.32/6.56 tff(15380,plain,
% 6.32/6.56 (mult(mult(mult(a, mult(mult(c, a), b)), b), a) = mult(mult(mult(mult(a, b), mult(c, a)), b), a)),
% 6.32/6.56 inference(symmetry,[status(thm)],[15379])).
% 6.32/6.56 tff(15381,plain,
% 6.32/6.56 (mult(a, mult(mult(mult(a, b), a), c)) = mult(a, mult(mult(b, a), mult(a, c)))),
% 6.32/6.56 inference(transitivity,[status(thm)],[13405, 10732, 11500, 15308, 13577, 13950])).
% 6.32/6.56 tff(15382,plain,
% 6.32/6.56 (ld(a, mult(a, mult(mult(mult(a, b), a), c))) = ld(a, mult(a, mult(mult(b, a), mult(a, c))))),
% 6.32/6.56 inference(monotonicity,[status(thm)],[15381])).
% 6.32/6.56 tff(15383,plain,
% 6.32/6.56 (ld(a, mult(a, mult(mult(b, a), mult(a, c)))) = ld(a, mult(a, mult(mult(mult(a, b), a), c)))),
% 6.32/6.56 inference(symmetry,[status(thm)],[15382])).
% 6.32/6.56 tff(15384,plain,
% 6.32/6.56 (mult(mult(b, a), mult(a, c)) = mult(mult(a, b), mult(c, a))),
% 6.32/6.56 inference(transitivity,[status(thm)],[12189, 15383, 11987, 9222])).
% 6.32/6.56 tff(15385,plain,
% 6.32/6.56 (mult(mult(mult(b, a), mult(a, c)), b) = mult(mult(mult(a, b), mult(c, a)), b)),
% 6.32/6.56 inference(monotonicity,[status(thm)],[15384])).
% 6.32/6.56 tff(15386,plain,
% 6.32/6.56 (mult(mult(mult(a, b), mult(c, a)), b) = mult(mult(mult(b, a), mult(a, c)), b)),
% 6.32/6.56 inference(symmetry,[status(thm)],[15385])).
% 6.32/6.56 tff(15387,plain,
% 6.32/6.56 (mult(mult(a, mult(mult(c, a), b)), b) = mult(mult(mult(b, a), mult(a, c)), b)),
% 6.32/6.56 inference(transitivity,[status(thm)],[15377, 15386])).
% 6.32/6.56 tff(15388,plain,
% 6.32/6.56 (mult(mult(mult(a, mult(mult(c, a), b)), b), a) = mult(mult(mult(mult(b, a), mult(a, c)), b), a)),
% 6.32/6.56 inference(monotonicity,[status(thm)],[15387])).
% 6.32/6.56 tff(15389,plain,
% 6.32/6.56 (mult(mult(mult(mult(b, a), mult(a, c)), b), a) = mult(mult(mult(a, mult(mult(c, a), b)), b), a)),
% 6.32/6.56 inference(symmetry,[status(thm)],[15388])).
% 6.32/6.56 tff(15390,assumption,(~(mult(mult(b, a), mult(c, mult(mult(a, b), a))) = mult(b, mult(a, mult(c, mult(mult(a, b), a)))))), introduced(assumption)).
% 6.32/6.56 tff(15391,plain,
% 6.32/6.56 (((~(mult(mult(b, mult(c, mult(mult(a, b), a))), a) = mult(b, mult(mult(c, mult(mult(a, b), a)), a)))) | (~(mult(mult(b, a), mult(c, mult(mult(a, b), a))) = mult(b, mult(a, mult(c, mult(mult(a, b), a))))))) | (mult(mult(b, a), mult(c, mult(mult(a, b), a))) = mult(b, mult(a, mult(c, mult(mult(a, b), a)))))),
% 6.32/6.56 inference(tautology,[status(thm)],[])).
% 6.32/6.56 tff(15392,plain,
% 6.32/6.56 ((~(mult(mult(b, mult(c, mult(mult(a, b), a))), a) = mult(b, mult(mult(c, mult(mult(a, b), a)), a)))) | (~(mult(mult(b, a), mult(c, mult(mult(a, b), a))) = mult(b, mult(a, mult(c, mult(mult(a, b), a))))))),
% 6.32/6.57 inference(unit_resolution,[status(thm)],[15391, 15390])).
% 6.32/6.57 tff(15393,plain,
% 6.32/6.57 (((~![X0: $i, X1: $i, X2: $i] : ((~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X2, X1)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X1, X2)))))) | (~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X1, X2)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X2, X1)))))))) | ((~((~(mult(mult(b, a), mult(c, mult(mult(a, b), a))) = mult(b, mult(mult(c, mult(mult(a, b), a)), a)))) | (~(mult(mult(b, mult(c, mult(mult(a, b), a))), a) = mult(b, mult(a, mult(c, mult(mult(a, b), a)))))))) | (~((~(mult(mult(b, mult(c, mult(mult(a, b), a))), a) = mult(b, mult(mult(c, mult(mult(a, b), a)), a)))) | (~(mult(mult(b, a), mult(c, mult(mult(a, b), a))) = mult(b, mult(a, mult(c, mult(mult(a, b), a)))))))))) <=> ((~![X0: $i, X1: $i, X2: $i] : ((~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X2, X1)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X1, X2)))))) | (~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X1, X2)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X2, X1)))))))) | (~((~(mult(mult(b, a), mult(c, mult(mult(a, b), a))) = mult(b, mult(mult(c, mult(mult(a, b), a)), a)))) | (~(mult(mult(b, mult(c, mult(mult(a, b), a))), a) = mult(b, mult(a, mult(c, mult(mult(a, b), a)))))))) | (~((~(mult(mult(b, mult(c, mult(mult(a, b), a))), a) = mult(b, mult(mult(c, mult(mult(a, b), a)), a)))) | (~(mult(mult(b, a), mult(c, mult(mult(a, b), a))) = mult(b, mult(a, mult(c, mult(mult(a, b), a)))))))))),
% 6.32/6.57 inference(rewrite,[status(thm)],[])).
% 6.32/6.57 tff(15394,plain,
% 6.32/6.57 (((~((~(mult(mult(b, mult(c, mult(mult(a, b), a))), a) = mult(b, mult(a, mult(c, mult(mult(a, b), a)))))) | (~(mult(mult(b, a), mult(c, mult(mult(a, b), a))) = mult(b, mult(mult(c, mult(mult(a, b), a)), a)))))) | (~((~(mult(mult(b, mult(c, mult(mult(a, b), a))), a) = mult(b, mult(mult(c, mult(mult(a, b), a)), a)))) | (~(mult(mult(b, a), mult(c, mult(mult(a, b), a))) = mult(b, mult(a, mult(c, mult(mult(a, b), a))))))))) <=> ((~((~(mult(mult(b, a), mult(c, mult(mult(a, b), a))) = mult(b, mult(mult(c, mult(mult(a, b), a)), a)))) | (~(mult(mult(b, mult(c, mult(mult(a, b), a))), a) = mult(b, mult(a, mult(c, mult(mult(a, b), a)))))))) | (~((~(mult(mult(b, mult(c, mult(mult(a, b), a))), a) = mult(b, mult(mult(c, mult(mult(a, b), a)), a)))) | (~(mult(mult(b, a), mult(c, mult(mult(a, b), a))) = mult(b, mult(a, mult(c, mult(mult(a, b), a)))))))))),
% 6.32/6.57 inference(rewrite,[status(thm)],[])).
% 6.32/6.57 tff(15395,plain,
% 6.32/6.57 (((~![X0: $i, X1: $i, X2: $i] : ((~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X2, X1)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X1, X2)))))) | (~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X1, X2)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X2, X1)))))))) | ((~((~(mult(mult(b, mult(c, mult(mult(a, b), a))), a) = mult(b, mult(a, mult(c, mult(mult(a, b), a)))))) | (~(mult(mult(b, a), mult(c, mult(mult(a, b), a))) = mult(b, mult(mult(c, mult(mult(a, b), a)), a)))))) | (~((~(mult(mult(b, mult(c, mult(mult(a, b), a))), a) = mult(b, mult(mult(c, mult(mult(a, b), a)), a)))) | (~(mult(mult(b, a), mult(c, mult(mult(a, b), a))) = mult(b, mult(a, mult(c, mult(mult(a, b), a)))))))))) <=> ((~![X0: $i, X1: $i, X2: $i] : ((~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X2, X1)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X1, X2)))))) | (~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X1, X2)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X2, X1)))))))) | ((~((~(mult(mult(b, a), mult(c, mult(mult(a, b), a))) = mult(b, mult(mult(c, mult(mult(a, b), a)), a)))) | (~(mult(mult(b, mult(c, mult(mult(a, b), a))), a) = mult(b, mult(a, mult(c, mult(mult(a, b), a)))))))) | (~((~(mult(mult(b, mult(c, mult(mult(a, b), a))), a) = mult(b, mult(mult(c, mult(mult(a, b), a)), a)))) | (~(mult(mult(b, a), mult(c, mult(mult(a, b), a))) = mult(b, mult(a, mult(c, mult(mult(a, b), a))))))))))),
% 6.32/6.57 inference(monotonicity,[status(thm)],[15394])).
% 6.32/6.57 tff(15396,plain,
% 6.32/6.57 (((~![X0: $i, X1: $i, X2: $i] : ((~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X2, X1)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X1, X2)))))) | (~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X1, X2)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X2, X1)))))))) | ((~((~(mult(mult(b, mult(c, mult(mult(a, b), a))), a) = mult(b, mult(a, mult(c, mult(mult(a, b), a)))))) | (~(mult(mult(b, a), mult(c, mult(mult(a, b), a))) = mult(b, mult(mult(c, mult(mult(a, b), a)), a)))))) | (~((~(mult(mult(b, mult(c, mult(mult(a, b), a))), a) = mult(b, mult(mult(c, mult(mult(a, b), a)), a)))) | (~(mult(mult(b, a), mult(c, mult(mult(a, b), a))) = mult(b, mult(a, mult(c, mult(mult(a, b), a)))))))))) <=> ((~![X0: $i, X1: $i, X2: $i] : ((~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X2, X1)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X1, X2)))))) | (~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X1, X2)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X2, X1)))))))) | (~((~(mult(mult(b, a), mult(c, mult(mult(a, b), a))) = mult(b, mult(mult(c, mult(mult(a, b), a)), a)))) | (~(mult(mult(b, mult(c, mult(mult(a, b), a))), a) = mult(b, mult(a, mult(c, mult(mult(a, b), a)))))))) | (~((~(mult(mult(b, mult(c, mult(mult(a, b), a))), a) = mult(b, mult(mult(c, mult(mult(a, b), a)), a)))) | (~(mult(mult(b, a), mult(c, mult(mult(a, b), a))) = mult(b, mult(a, mult(c, mult(mult(a, b), a)))))))))),
% 6.32/6.57 inference(transitivity,[status(thm)],[15395, 15393])).
% 6.32/6.57 tff(15397,plain,
% 6.32/6.57 ((~![X0: $i, X1: $i, X2: $i] : ((~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X2, X1)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X1, X2)))))) | (~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X1, X2)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X2, X1)))))))) | ((~((~(mult(mult(b, mult(c, mult(mult(a, b), a))), a) = mult(b, mult(a, mult(c, mult(mult(a, b), a)))))) | (~(mult(mult(b, a), mult(c, mult(mult(a, b), a))) = mult(b, mult(mult(c, mult(mult(a, b), a)), a)))))) | (~((~(mult(mult(b, mult(c, mult(mult(a, b), a))), a) = mult(b, mult(mult(c, mult(mult(a, b), a)), a)))) | (~(mult(mult(b, a), mult(c, mult(mult(a, b), a))) = mult(b, mult(a, mult(c, mult(mult(a, b), a)))))))))),
% 6.32/6.57 inference(quant_inst,[status(thm)],[])).
% 6.32/6.57 tff(15398,plain,
% 6.32/6.57 ((~![X0: $i, X1: $i, X2: $i] : ((~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X2, X1)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X1, X2)))))) | (~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X1, X2)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X2, X1)))))))) | (~((~(mult(mult(b, a), mult(c, mult(mult(a, b), a))) = mult(b, mult(mult(c, mult(mult(a, b), a)), a)))) | (~(mult(mult(b, mult(c, mult(mult(a, b), a))), a) = mult(b, mult(a, mult(c, mult(mult(a, b), a)))))))) | (~((~(mult(mult(b, mult(c, mult(mult(a, b), a))), a) = mult(b, mult(mult(c, mult(mult(a, b), a)), a)))) | (~(mult(mult(b, a), mult(c, mult(mult(a, b), a))) = mult(b, mult(a, mult(c, mult(mult(a, b), a))))))))),
% 6.32/6.57 inference(modus_ponens,[status(thm)],[15397, 15396])).
% 6.32/6.57 tff(15399,plain,
% 6.32/6.57 ((~((~(mult(mult(b, a), mult(c, mult(mult(a, b), a))) = mult(b, mult(mult(c, mult(mult(a, b), a)), a)))) | (~(mult(mult(b, mult(c, mult(mult(a, b), a))), a) = mult(b, mult(a, mult(c, mult(mult(a, b), a)))))))) | (~((~(mult(mult(b, mult(c, mult(mult(a, b), a))), a) = mult(b, mult(mult(c, mult(mult(a, b), a)), a)))) | (~(mult(mult(b, a), mult(c, mult(mult(a, b), a))) = mult(b, mult(a, mult(c, mult(mult(a, b), a))))))))),
% 6.32/6.57 inference(unit_resolution,[status(thm)],[15398, 30])).
% 6.32/6.57 tff(15400,plain,
% 6.32/6.57 (~((~(mult(mult(b, a), mult(c, mult(mult(a, b), a))) = mult(b, mult(mult(c, mult(mult(a, b), a)), a)))) | (~(mult(mult(b, mult(c, mult(mult(a, b), a))), a) = mult(b, mult(a, mult(c, mult(mult(a, b), a)))))))),
% 6.32/6.57 inference(unit_resolution,[status(thm)],[15399, 15392])).
% 6.32/6.57 tff(15401,plain,
% 6.32/6.57 (((~(mult(mult(b, a), mult(c, mult(mult(a, b), a))) = mult(b, mult(mult(c, mult(mult(a, b), a)), a)))) | (~(mult(mult(b, mult(c, mult(mult(a, b), a))), a) = mult(b, mult(a, mult(c, mult(mult(a, b), a))))))) | (mult(mult(b, a), mult(c, mult(mult(a, b), a))) = mult(b, mult(mult(c, mult(mult(a, b), a)), a)))),
% 6.32/6.57 inference(tautology,[status(thm)],[])).
% 6.32/6.57 tff(15402,plain,
% 6.32/6.57 (mult(mult(b, a), mult(c, mult(mult(a, b), a))) = mult(b, mult(mult(c, mult(mult(a, b), a)), a))),
% 6.32/6.57 inference(unit_resolution,[status(thm)],[15401, 15400])).
% 6.32/6.57 tff(15403,plain,
% 6.32/6.57 (mult(b, mult(mult(c, mult(mult(a, b), a)), a)) = mult(mult(b, a), mult(c, mult(mult(a, b), a)))),
% 6.32/6.57 inference(symmetry,[status(thm)],[15402])).
% 6.32/6.57 tff(15404,plain,
% 6.32/6.57 (mult(c, mult(mult(a, b), a)) = mult(mult(a, c), mult(b, a))),
% 6.32/6.57 inference(transitivity,[status(thm)],[13624, 15371, 10815])).
% 6.32/6.57 tff(15405,plain,
% 6.32/6.57 (mult(mult(c, mult(mult(a, b), a)), a) = mult(mult(mult(a, c), mult(b, a)), a)),
% 6.32/6.57 inference(monotonicity,[status(thm)],[15404])).
% 6.32/6.57 tff(15406,plain,
% 6.32/6.57 (mult(mult(mult(a, c), mult(b, a)), a) = mult(mult(c, mult(mult(a, b), a)), a)),
% 6.32/6.57 inference(symmetry,[status(thm)],[15405])).
% 6.32/6.57 tff(15407,plain,
% 6.32/6.57 (mult(a, mult(mult(mult(a, b), a), c)) = mult(mult(c, mult(mult(a, b), a)), a)),
% 6.32/6.57 inference(transitivity,[status(thm)],[13405, 10732, 11500, 15406])).
% 6.32/6.57 tff(15408,plain,
% 6.32/6.57 (mult(b, mult(a, mult(mult(mult(a, b), a), c))) = mult(b, mult(mult(c, mult(mult(a, b), a)), a))),
% 6.32/6.57 inference(monotonicity,[status(thm)],[15407])).
% 6.32/6.57 tff(15409,plain,
% 6.32/6.57 (mult(mult(a, mult(b, mult(c, a))), a) = mult(a, mult(mult(mult(a, b), a), c))),
% 6.32/6.57 inference(transitivity,[status(thm)],[15307, 11029, 10731, 13404])).
% 6.32/6.57 tff(15410,plain,
% 6.32/6.57 (mult(b, mult(mult(a, mult(b, mult(c, a))), a)) = mult(b, mult(a, mult(mult(mult(a, b), a), c)))),
% 6.32/6.57 inference(monotonicity,[status(thm)],[15409])).
% 6.32/6.57 tff(15411,plain,
% 6.32/6.57 (mult(mult(mult(b, a), mult(b, mult(c, a))), a) = mult(mult(mult(mult(a, b), mult(c, a)), b), a)),
% 6.32/6.57 inference(transitivity,[status(thm)],[13746, 15410, 15408, 15403, 11223, 15373, 11412, 10925, 15389, 15380])).
% 6.32/6.57 tff(15412,plain,
% 6.32/6.57 (rd(mult(mult(mult(b, a), mult(b, mult(c, a))), a), a) = rd(mult(mult(mult(mult(a, b), mult(c, a)), b), a), a)),
% 6.32/6.57 inference(monotonicity,[status(thm)],[15411])).
% 6.32/6.57 tff(15413,plain,
% 6.32/6.57 (mult(mult(b, a), mult(b, mult(c, a))) = mult(mult(a, b), mult(b, mult(c, a)))),
% 6.32/6.57 inference(transitivity,[status(thm)],[14272, 15412, 15375, 11829, 14415])).
% 6.32/6.57 tff(15414,plain,
% 6.32/6.57 (rd(mult(mult(b, a), mult(b, mult(c, a))), mult(b, mult(c, a))) = rd(mult(mult(a, b), mult(b, mult(c, a))), mult(b, mult(c, a)))),
% 6.32/6.57 inference(monotonicity,[status(thm)],[15413])).
% 6.32/6.57 tff(15415,plain,
% 6.32/6.57 (rd(mult(mult(a, b), mult(b, mult(c, a))), mult(b, mult(c, a))) = rd(mult(mult(b, a), mult(b, mult(c, a))), mult(b, mult(c, a)))),
% 6.32/6.57 inference(symmetry,[status(thm)],[15414])).
% 6.32/6.57 tff(15416,plain,
% 6.32/6.57 (mult(a, b) = mult(b, a)),
% 6.32/6.57 inference(transitivity,[status(thm)],[13759, 15415, 13730])).
% 6.32/6.57 tff(15417,plain,
% 6.32/6.57 ($false),
% 6.32/6.57 inference(unit_resolution,[status(thm)],[1, 15416])).
% 6.32/6.57 tff(15418,plain,((mult(mult(b, a), mult(c, mult(mult(a, b), a))) = mult(b, mult(a, mult(c, mult(mult(a, b), a))))) | (mult(a, b) = mult(b, a)) | (~(mult(mult(a, b), mult(b, mult(c, a))) = mult(a, mult(mult(b, mult(c, a)), b)))) | (~(mult(mult(mult(b, a), mult(a, c)), mult(b, a)) = mult(mult(b, a), mult(mult(a, c), mult(b, a))))) | (~(mult(mult(mult(mult(b, a), mult(a, c)), b), a) = mult(mult(mult(b, a), mult(a, c)), mult(b, a)))) | (~(mult(mult(a, mult(b, mult(c, a))), a) = mult(a, mult(mult(b, mult(c, a)), a)))) | (~(mult(mult(a, c), mult(mult(a, b), a)) = mult(a, mult(mult(mult(a, b), a), c)))) | (~(mult(mult(a, mult(c, a)), b) = mult(a, mult(b, mult(c, a))))) | (~(mult(mult(mult(a, c), a), b) = mult(mult(a, c), mult(b, a)))) | (~(mult(mult(a, mult(b, a)), c) = mult(a, mult(c, mult(b, a))))) | (~(mult(mult(c, a), b) = mult(c, mult(b, a)))) | (~(mult(mult(a, mult(mult(a, b), a)), c) = mult(a, mult(c, mult(mult(a, b), a))))) | (~(mult(mult(mult(a, a), mult(b, a)), c) = mult(mult(a, a), mult(mult(b, a), c)))) | (~(mult(mult(a, a), mult(b, mult(c, a))) = mult(a, mult(a, mult(b, mult(c, a)))))) | (~(mult(mult(a, a), mult(b, a)) = mult(a, mult(a, mult(b, a)))))), inference(lemma,lemma(discharge,[]))).
% 6.32/6.57 tff(15419,plain,
% 6.32/6.57 (mult(mult(b, a), mult(c, mult(mult(a, b), a))) = mult(b, mult(a, mult(c, mult(mult(a, b), a))))),
% 6.32/6.57 inference(unit_resolution,[status(thm)],[15418, 7850, 13754, 11152, 1, 13577, 13404, 1736, 1362, 2009, 342, 13299, 13816, 13692, 11024])).
% 6.32/6.57 tff(15420,plain,
% 6.32/6.57 (mult(b, mult(a, mult(c, mult(mult(a, b), a)))) = mult(mult(b, a), mult(c, mult(mult(a, b), a)))),
% 6.42/6.57 inference(symmetry,[status(thm)],[15419])).
% 6.42/6.57 tff(15421,plain,
% 6.42/6.57 (mult(mult(mult(mult(a, b), a), c), a) = mult(a, mult(c, mult(mult(a, b), a)))),
% 6.42/6.57 inference(transitivity,[status(thm)],[11096, 11018, 11016, 11965, 15368, 13693, 13493, 13817, 13596, 13299])).
% 6.42/6.57 tff(15422,plain,
% 6.42/6.57 (mult(b, mult(mult(mult(mult(a, b), a), c), a)) = mult(b, mult(a, mult(c, mult(mult(a, b), a))))),
% 6.42/6.57 inference(monotonicity,[status(thm)],[15421])).
% 6.42/6.57 tff(15423,plain,
% 6.42/6.57 (mult(mult(b, a), mult(a, c)) = mult(mult(mult(a, b), a), c)),
% 6.42/6.57 inference(transitivity,[status(thm)],[12189, 15383, 11987])).
% 6.42/6.57 tff(15424,plain,
% 6.42/6.57 (mult(mult(b, a), mult(mult(b, a), mult(a, c))) = mult(mult(b, a), mult(mult(mult(a, b), a), c))),
% 6.42/6.57 inference(monotonicity,[status(thm)],[15423])).
% 6.42/6.57 tff(15425,plain,
% 6.42/6.57 (mult(mult(b, mult(mult(a, b), a)), mult(a, c)) = mult(mult(b, a), mult(mult(mult(a, b), a), c))),
% 6.42/6.57 inference(transitivity,[status(thm)],[12042, 11176, 15424])).
% 6.42/6.57 tff(15426,plain,
% 6.42/6.57 ((mult(mult(b, mult(mult(a, b), a)), mult(a, c)) = mult(b, mult(mult(mult(a, b), a), mult(a, c)))) <=> (mult(mult(b, a), mult(mult(mult(a, b), a), c)) = mult(b, mult(mult(mult(mult(a, b), a), c), a)))),
% 6.42/6.57 inference(monotonicity,[status(thm)],[15425, 11547])).
% 6.42/6.57 tff(15427,plain,
% 6.42/6.57 ((mult(mult(b, a), mult(mult(mult(a, b), a), c)) = mult(b, mult(mult(mult(mult(a, b), a), c), a))) <=> (mult(mult(b, mult(mult(a, b), a)), mult(a, c)) = mult(b, mult(mult(mult(a, b), a), mult(a, c))))),
% 6.42/6.57 inference(symmetry,[status(thm)],[15426])).
% 6.42/6.57 tff(15428,plain,
% 6.42/6.57 (mult(b, mult(mult(mult(mult(a, b), a), c), a)) = mult(mult(mult(b, a), mult(a, c)), mult(b, a))),
% 6.42/6.57 inference(transitivity,[status(thm)],[15422, 15420, 11223, 15373, 11166])).
% 6.42/6.57 tff(15429,plain,
% 6.42/6.57 (mult(mult(b, a), mult(mult(mult(a, b), a), c)) = mult(mult(b, a), mult(mult(b, a), mult(a, c)))),
% 6.42/6.57 inference(symmetry,[status(thm)],[15424])).
% 6.42/6.57 tff(15430,plain,
% 6.42/6.57 ((mult(mult(b, a), mult(mult(mult(a, b), a), c)) = mult(b, mult(mult(mult(mult(a, b), a), c), a))) <=> (mult(mult(b, a), mult(mult(b, a), mult(a, c))) = mult(mult(mult(b, a), mult(a, c)), mult(b, a)))),
% 6.42/6.57 inference(monotonicity,[status(thm)],[15429, 15428])).
% 6.42/6.57 tff(15431,plain,
% 6.42/6.57 ((mult(mult(b, a), mult(mult(mult(a, b), a), c)) = mult(b, mult(mult(mult(mult(a, b), a), c), a))) <=> (mult(mult(mult(b, a), mult(a, c)), mult(b, a)) = mult(mult(b, a), mult(mult(b, a), mult(a, c))))),
% 6.42/6.57 inference(transitivity,[status(thm)],[15430, 11173])).
% 6.42/6.57 tff(15432,plain,
% 6.42/6.57 ((mult(mult(mult(b, a), mult(a, c)), mult(b, a)) = mult(mult(b, a), mult(mult(b, a), mult(a, c)))) <=> (mult(mult(b, a), mult(mult(mult(a, b), a), c)) = mult(b, mult(mult(mult(mult(a, b), a), c), a)))),
% 6.42/6.57 inference(symmetry,[status(thm)],[15431])).
% 6.42/6.57 tff(15433,plain,
% 6.42/6.57 ((mult(mult(mult(b, a), mult(a, c)), mult(b, a)) = mult(mult(b, a), mult(mult(b, a), mult(a, c)))) <=> (mult(mult(b, mult(mult(a, b), a)), mult(a, c)) = mult(b, mult(mult(mult(a, b), a), mult(a, c))))),
% 6.42/6.57 inference(transitivity,[status(thm)],[15432, 15427])).
% 6.42/6.57 tff(15434,plain,
% 6.42/6.57 ((~(mult(mult(mult(b, a), mult(a, c)), mult(b, a)) = mult(mult(b, a), mult(mult(b, a), mult(a, c))))) <=> (~(mult(mult(b, mult(mult(a, b), a)), mult(a, c)) = mult(b, mult(mult(mult(a, b), a), mult(a, c)))))),
% 6.42/6.57 inference(monotonicity,[status(thm)],[15433])).
% 6.42/6.57 tff(15435,plain,
% 6.42/6.57 (~(mult(mult(b, mult(mult(a, b), a)), mult(a, c)) = mult(b, mult(mult(mult(a, b), a), mult(a, c))))),
% 6.42/6.57 inference(modus_ponens,[status(thm)],[11136, 15434])).
% 6.42/6.57 tff(15436,plain,
% 6.42/6.57 ((~(mult(mult(b, mult(a, c)), mult(mult(a, b), a)) = mult(b, mult(mult(a, c), mult(mult(a, b), a))))) | (~(mult(mult(b, mult(mult(a, b), a)), mult(a, c)) = mult(b, mult(mult(mult(a, b), a), mult(a, c)))))),
% 6.42/6.57 inference(unit_resolution,[status(thm)],[11543, 15435])).
% 6.42/6.57 tff(15437,plain,
% 6.42/6.57 (~((~(mult(mult(b, mult(a, c)), mult(mult(a, b), a)) = mult(b, mult(mult(mult(a, b), a), mult(a, c))))) | (~(mult(mult(b, mult(mult(a, b), a)), mult(a, c)) = mult(b, mult(mult(a, c), mult(mult(a, b), a))))))),
% 6.42/6.57 inference(unit_resolution,[status(thm)],[11195, 15436])).
% 6.42/6.57 tff(15438,plain,
% 6.42/6.58 (mult(mult(b, mult(a, c)), mult(mult(a, b), a)) = mult(b, mult(mult(mult(a, b), a), mult(a, c)))),
% 6.42/6.58 inference(unit_resolution,[status(thm)],[12060, 15437])).
% 6.42/6.58 tff(15439,plain,
% 6.42/6.58 (mult(mult(mult(b, c), a), mult(mult(a, b), a)) = mult(mult(b, mult(c, a)), mult(mult(a, b), a))),
% 6.42/6.58 inference(transitivity,[status(thm)],[11199, 15438, 11547, 15422, 15420, 11223, 15373, 11166, 3535, 11131, 11165])).
% 6.42/6.58 tff(15440,plain,
% 6.42/6.58 (rd(mult(mult(mult(b, c), a), mult(mult(a, b), a)), mult(mult(a, b), a)) = rd(mult(mult(b, mult(c, a)), mult(mult(a, b), a)), mult(mult(a, b), a))),
% 6.42/6.58 inference(monotonicity,[status(thm)],[15439])).
% 6.42/6.58 tff(15441,plain,
% 6.42/6.58 (mult(mult(b, c), a) = mult(b, mult(c, a))),
% 6.42/6.58 inference(transitivity,[status(thm)],[11204, 15440, 11164])).
% 6.42/6.58 tff(15442,plain,
% 6.42/6.58 ($false),
% 6.42/6.58 inference(unit_resolution,[status(thm)],[3450, 15441])).
% 6.42/6.58 tff(15443,plain,((~(mult(mult(mult(mult(b, a), mult(a, c)), b), a) = mult(mult(mult(b, a), mult(a, c)), mult(b, a)))) | (mult(mult(b, c), a) = mult(b, mult(c, a))) | (~(mult(mult(mult(b, mult(c, a)), a), mult(b, a)) = mult(mult(b, mult(c, a)), mult(a, mult(b, a))))) | (~(mult(mult(a, mult(mult(a, b), a)), c) = mult(a, mult(c, mult(mult(a, b), a))))) | (~(mult(mult(mult(a, a), mult(b, a)), c) = mult(mult(a, a), mult(mult(b, a), c)))) | (~(mult(mult(a, a), mult(b, mult(c, a))) = mult(a, mult(a, mult(b, mult(c, a)))))) | (~(mult(mult(a, mult(c, a)), b) = mult(a, mult(b, mult(c, a))))) | (~(mult(mult(mult(a, c), a), b) = mult(mult(a, c), mult(b, a)))) | (~(mult(mult(a, a), mult(b, a)) = mult(a, mult(a, mult(b, a))))) | (~(mult(mult(mult(a, b), a), mult(a, c)) = mult(mult(a, b), mult(mult(a, c), a)))) | (~(mult(mult(a, mult(b, a)), mult(a, c)) = mult(a, mult(mult(a, c), mult(b, a))))) | (mult(mult(mult(b, a), mult(a, c)), mult(b, a)) = mult(mult(b, a), mult(mult(b, a), mult(a, c)))) | (~(mult(mult(a, mult(b, mult(c, a))), a) = mult(a, mult(mult(b, mult(c, a)), a)))) | (~(mult(mult(a, c), mult(mult(a, b), a)) = mult(a, mult(mult(mult(a, b), a), c)))) | (~(mult(mult(mult(b, a), b), a) = mult(mult(b, a), mult(b, a)))) | (~(mult(mult(a, b), mult(b, mult(c, a))) = mult(a, mult(mult(b, mult(c, a)), b)))) | (mult(a, b) = mult(b, a)) | (~(mult(mult(a, mult(b, a)), c) = mult(a, mult(c, mult(b, a))))) | (~(mult(mult(c, a), b) = mult(c, mult(b, a))))), inference(lemma,lemma(discharge,[]))).
% 6.42/6.58 tff(15444,plain,
% 6.42/6.58 (mult(mult(mult(b, a), mult(a, c)), mult(b, a)) = mult(mult(b, a), mult(mult(b, a), mult(a, c)))),
% 6.42/6.58 inference(unit_resolution,[status(thm)],[15443, 15360, 14939, 15346, 15345, 15322, 1736, 1362, 11024, 13459, 15335, 13538, 13577, 15311, 11025, 15367, 1, 218, 342])).
% 6.42/6.58 tff(15445,plain,
% 6.42/6.58 ((~![B: $i, A: $i] : (rd(mult(A, B), B) = A)) | (rd(mult(mult(mult(mult(a, c), mult(b, a)), mult(c, a)), b), b) = mult(mult(mult(a, c), mult(b, a)), mult(c, a)))),
% 6.42/6.58 inference(quant_inst,[status(thm)],[])).
% 6.42/6.58 tff(15446,plain,
% 6.42/6.58 (rd(mult(mult(mult(mult(a, c), mult(b, a)), mult(c, a)), b), b) = mult(mult(mult(a, c), mult(b, a)), mult(c, a))),
% 6.42/6.58 inference(unit_resolution,[status(thm)],[15445, 72])).
% 6.42/6.58 tff(15447,plain,
% 6.42/6.58 (mult(mult(a, c), mult(mult(a, mult(mult(b, mult(c, a)), b)), a)) = mult(mult(mult(mult(a, c), a), mult(mult(b, mult(c, a)), b)), a)),
% 6.42/6.58 inference(symmetry,[status(thm)],[15100])).
% 6.42/6.58 tff(15448,plain,
% 6.42/6.58 (mult(a, mult(mult(b, mult(c, a)), b)) = mult(mult(a, mult(mult(c, a), b)), b)),
% 6.42/6.58 inference(transitivity,[status(thm)],[11830, 15378])).
% 6.42/6.58 tff(15449,plain,
% 6.42/6.58 (mult(mult(a, mult(mult(b, mult(c, a)), b)), a) = mult(mult(mult(a, mult(mult(c, a), b)), b), a)),
% 6.42/6.58 inference(monotonicity,[status(thm)],[15448])).
% 6.42/6.58 tff(15450,plain,
% 6.42/6.58 (mult(mult(a, mult(mult(b, mult(c, a)), b)), a) = mult(mult(mult(b, a), mult(a, c)), mult(b, a))),
% 6.42/6.58 inference(transitivity,[status(thm)],[15449, 15388, 7850])).
% 6.42/6.58 tff(15451,plain,
% 6.42/6.58 (mult(mult(a, c), mult(mult(a, mult(mult(b, mult(c, a)), b)), a)) = mult(mult(a, c), mult(mult(mult(b, a), mult(a, c)), mult(b, a)))),
% 6.42/6.58 inference(monotonicity,[status(thm)],[15450])).
% 6.42/6.58 tff(15452,plain,
% 6.42/6.58 (mult(mult(a, c), mult(mult(mult(b, a), mult(a, c)), mult(b, a))) = mult(mult(a, c), mult(mult(a, mult(mult(b, mult(c, a)), b)), a))),
% 6.42/6.58 inference(symmetry,[status(thm)],[15451])).
% 6.42/6.58 tff(15453,plain,
% 6.42/6.58 (mult(mult(mult(mult(mult(a, c), mult(b, a)), mult(a, c)), b), a) = mult(mult(mult(mult(a, c), a), mult(mult(b, mult(c, a)), b)), a)),
% 6.42/6.58 inference(transitivity,[status(thm)],[12734, 7198, 15452, 15447])).
% 6.42/6.58 tff(15454,plain,
% 6.42/6.58 (rd(mult(mult(mult(mult(mult(a, c), mult(b, a)), mult(a, c)), b), a), a) = rd(mult(mult(mult(mult(a, c), a), mult(mult(b, mult(c, a)), b)), a), a)),
% 6.42/6.58 inference(monotonicity,[status(thm)],[15453])).
% 6.42/6.58 tff(15455,plain,
% 6.42/6.58 (rd(mult(mult(mult(mult(a, c), a), mult(mult(b, mult(c, a)), b)), a), a) = rd(mult(mult(mult(mult(mult(a, c), mult(b, a)), mult(a, c)), b), a), a)),
% 6.42/6.58 inference(symmetry,[status(thm)],[15454])).
% 6.42/6.58 tff(15456,plain,
% 6.42/6.58 ((~![C: $i, B: $i, A: $i] : (mult(mult(mult(A, B), C), B) = mult(A, mult(mult(B, C), B)))) | (mult(mult(mult(mult(mult(a, c), a), b), mult(c, a)), b) = mult(mult(mult(a, c), a), mult(mult(b, mult(c, a)), b)))),
% 6.42/6.58 inference(quant_inst,[status(thm)],[])).
% 6.42/6.58 tff(15457,plain,
% 6.42/6.58 (mult(mult(mult(mult(mult(a, c), a), b), mult(c, a)), b) = mult(mult(mult(a, c), a), mult(mult(b, mult(c, a)), b))),
% 6.42/6.58 inference(unit_resolution,[status(thm)],[15456, 860])).
% 6.42/6.58 tff(15458,plain,
% 6.42/6.58 (mult(mult(mult(mult(a, c), a), b), mult(c, a)) = mult(mult(mult(a, c), mult(b, a)), mult(c, a))),
% 6.42/6.58 inference(monotonicity,[status(thm)],[1362])).
% 6.42/6.58 tff(15459,plain,
% 6.42/6.58 (mult(mult(mult(a, c), mult(b, a)), mult(c, a)) = mult(mult(mult(mult(a, c), a), b), mult(c, a))),
% 6.42/6.58 inference(symmetry,[status(thm)],[15458])).
% 6.42/6.58 tff(15460,plain,
% 6.42/6.58 (mult(mult(mult(mult(a, c), mult(b, a)), mult(c, a)), b) = mult(mult(mult(mult(mult(a, c), a), b), mult(c, a)), b)),
% 6.42/6.58 inference(monotonicity,[status(thm)],[15459])).
% 6.42/6.58 tff(15461,plain,
% 6.42/6.58 (mult(mult(mult(mult(a, c), mult(b, a)), mult(c, a)), b) = mult(mult(mult(mult(a, c), mult(b, a)), mult(a, c)), b)),
% 6.42/6.58 inference(transitivity,[status(thm)],[15460, 15457, 15105, 15455, 13377])).
% 6.42/6.58 tff(15462,plain,
% 6.42/6.58 (rd(mult(mult(mult(mult(a, c), mult(b, a)), mult(c, a)), b), b) = rd(mult(mult(mult(mult(a, c), mult(b, a)), mult(a, c)), b), b)),
% 6.42/6.58 inference(monotonicity,[status(thm)],[15461])).
% 6.42/6.58 tff(15463,plain,
% 6.42/6.58 (rd(mult(mult(mult(mult(a, c), mult(b, a)), mult(a, c)), b), b) = rd(mult(mult(mult(mult(a, c), mult(b, a)), mult(c, a)), b), b)),
% 6.42/6.58 inference(symmetry,[status(thm)],[15462])).
% 6.42/6.58 tff(15464,plain,
% 6.42/6.58 ((~![B: $i, A: $i] : (rd(mult(A, B), B) = A)) | (rd(mult(mult(mult(mult(a, c), mult(b, a)), mult(a, c)), b), b) = mult(mult(mult(a, c), mult(b, a)), mult(a, c)))),
% 6.42/6.58 inference(quant_inst,[status(thm)],[])).
% 6.42/6.58 tff(15465,plain,
% 6.42/6.58 (rd(mult(mult(mult(mult(a, c), mult(b, a)), mult(a, c)), b), b) = mult(mult(mult(a, c), mult(b, a)), mult(a, c))),
% 6.42/6.58 inference(unit_resolution,[status(thm)],[15464, 72])).
% 6.42/6.58 tff(15466,plain,
% 6.42/6.58 (mult(mult(mult(a, c), mult(b, a)), mult(a, c)) = rd(mult(mult(mult(mult(a, c), mult(b, a)), mult(a, c)), b), b)),
% 6.42/6.58 inference(symmetry,[status(thm)],[15465])).
% 6.42/6.58 tff(15467,plain,
% 6.42/6.58 ((~![B: $i, A: $i] : (ld(A, mult(A, B)) = B)) | (ld(mult(mult(a, c), mult(b, a)), mult(mult(mult(a, c), mult(b, a)), mult(mult(mult(a, b), c), a))) = mult(mult(mult(a, b), c), a))),
% 6.42/6.58 inference(quant_inst,[status(thm)],[])).
% 6.42/6.58 tff(15468,plain,
% 6.42/6.58 (ld(mult(mult(a, c), mult(b, a)), mult(mult(mult(a, c), mult(b, a)), mult(mult(mult(a, b), c), a))) = mult(mult(mult(a, b), c), a)),
% 6.42/6.58 inference(unit_resolution,[status(thm)],[15467, 9])).
% 6.42/6.58 tff(15469,plain,
% 6.42/6.58 (mult(mult(mult(a, c), mult(b, a)), mult(mult(a, c), mult(b, a))) = mult(mult(mult(a, c), mult(b, a)), mult(mult(mult(a, c), a), b))),
% 6.42/6.58 inference(monotonicity,[status(thm)],[1720])).
% 6.42/6.58 tff(15470,plain,
% 6.42/6.58 (mult(mult(mult(a, c), mult(b, a)), mult(mult(mult(a, c), a), b)) = mult(mult(mult(a, c), mult(b, a)), mult(mult(a, c), mult(b, a)))),
% 6.42/6.58 inference(symmetry,[status(thm)],[15469])).
% 6.42/6.58 tff(15471,plain,
% 6.42/6.58 (mult(mult(mult(a, c), mult(b, a)), mult(b, mult(mult(a, c), a))) = mult(mult(mult(mult(a, c), mult(b, a)), mult(a, c)), mult(b, a))),
% 6.42/6.58 inference(transitivity,[status(thm)],[14513, 12925, 8737, 8759])).
% 6.42/6.58 tff(15472,plain,
% 6.42/6.58 (mult(mult(mult(a, c), mult(b, a)), mult(mult(a, c), a)) = mult(mult(mult(mult(a, c), mult(b, a)), mult(a, c)), a)),
% 6.42/6.58 inference(transitivity,[status(thm)],[6944, 6919])).
% 6.42/6.58 tff(15473,plain,
% 6.42/6.58 (mult(mult(mult(mult(a, c), mult(b, a)), mult(mult(a, c), a)), b) = mult(mult(mult(mult(mult(a, c), mult(b, a)), mult(a, c)), a), b)),
% 6.42/6.58 inference(monotonicity,[status(thm)],[15472])).
% 6.42/6.58 tff(15474,plain,
% 6.42/6.58 ((mult(mult(mult(mult(a, c), mult(b, a)), mult(mult(a, c), a)), b) = mult(mult(mult(a, c), mult(b, a)), mult(b, mult(mult(a, c), a)))) <=> (mult(mult(mult(mult(mult(a, c), mult(b, a)), mult(a, c)), a), b) = mult(mult(mult(mult(a, c), mult(b, a)), mult(a, c)), mult(b, a)))),
% 6.42/6.58 inference(monotonicity,[status(thm)],[15473, 15471])).
% 6.42/6.58 tff(15475,plain,
% 6.42/6.58 ((mult(mult(mult(mult(mult(a, c), mult(b, a)), mult(a, c)), a), b) = mult(mult(mult(mult(a, c), mult(b, a)), mult(a, c)), mult(b, a))) <=> (mult(mult(mult(mult(a, c), mult(b, a)), mult(mult(a, c), a)), b) = mult(mult(mult(a, c), mult(b, a)), mult(b, mult(mult(a, c), a))))),
% 6.42/6.58 inference(symmetry,[status(thm)],[15474])).
% 6.42/6.58 tff(15476,plain,
% 6.42/6.58 ((~(mult(mult(mult(mult(mult(a, c), mult(b, a)), mult(a, c)), a), b) = mult(mult(mult(mult(a, c), mult(b, a)), mult(a, c)), mult(b, a)))) <=> (~(mult(mult(mult(mult(a, c), mult(b, a)), mult(mult(a, c), a)), b) = mult(mult(mult(a, c), mult(b, a)), mult(b, mult(mult(a, c), a)))))),
% 6.42/6.58 inference(monotonicity,[status(thm)],[15475])).
% 6.42/6.58 tff(15477,plain,
% 6.42/6.58 (~(mult(mult(mult(mult(a, c), mult(b, a)), mult(mult(a, c), a)), b) = mult(mult(mult(a, c), mult(b, a)), mult(b, mult(mult(a, c), a))))),
% 6.42/6.58 inference(modus_ponens,[status(thm)],[6808, 15476])).
% 6.42/6.58 tff(15478,plain,
% 6.42/6.58 ((~(mult(mult(mult(mult(a, c), mult(b, a)), b), mult(mult(a, c), a)) = mult(mult(mult(a, c), mult(b, a)), mult(mult(mult(a, c), a), b)))) | (~(mult(mult(mult(mult(a, c), mult(b, a)), mult(mult(a, c), a)), b) = mult(mult(mult(a, c), mult(b, a)), mult(b, mult(mult(a, c), a)))))),
% 6.42/6.58 inference(unit_resolution,[status(thm)],[6992, 15477])).
% 6.42/6.58 tff(15479,plain,
% 6.42/6.58 (~((~(mult(mult(mult(mult(a, c), mult(b, a)), b), mult(mult(a, c), a)) = mult(mult(mult(a, c), mult(b, a)), mult(b, mult(mult(a, c), a))))) | (~(mult(mult(mult(mult(a, c), mult(b, a)), mult(mult(a, c), a)), b) = mult(mult(mult(a, c), mult(b, a)), mult(mult(mult(a, c), a), b)))))),
% 6.42/6.58 inference(unit_resolution,[status(thm)],[6990, 15478])).
% 6.42/6.58 tff(15480,plain,
% 6.42/6.58 (mult(mult(mult(mult(a, c), mult(b, a)), mult(mult(a, c), a)), b) = mult(mult(mult(a, c), mult(b, a)), mult(mult(mult(a, c), a), b))),
% 6.42/6.58 inference(unit_resolution,[status(thm)],[6982, 15479])).
% 6.42/6.58 tff(15481,plain,
% 6.42/6.58 (mult(mult(mult(mult(mult(a, c), mult(b, a)), mult(a, c)), a), b) = mult(mult(mult(mult(a, c), mult(b, a)), mult(mult(a, c), a)), b)),
% 6.42/6.58 inference(symmetry,[status(thm)],[15473])).
% 6.42/6.58 tff(15482,plain,
% 6.42/6.58 (mult(mult(mult(a, c), mult(b, a)), mult(mult(a, mult(c, a)), b)) = mult(mult(mult(a, c), mult(b, a)), mult(mult(mult(a, c), a), b))),
% 6.42/6.58 inference(transitivity,[status(thm)],[14551, 14550, 15469])).
% 6.42/6.58 tff(15483,plain,
% 6.42/6.58 ((mult(mult(mult(mult(a, c), mult(b, a)), mult(a, mult(c, a))), b) = mult(mult(mult(a, c), mult(b, a)), mult(mult(a, mult(c, a)), b))) <=> (mult(mult(mult(mult(a, c), mult(b, a)), mult(mult(a, c), a)), b) = mult(mult(mult(a, c), mult(b, a)), mult(mult(mult(a, c), a), b)))),
% 6.42/6.58 inference(monotonicity,[status(thm)],[14554, 15482])).
% 6.42/6.58 tff(15484,plain,
% 6.42/6.58 ((mult(mult(mult(mult(a, c), mult(b, a)), mult(mult(a, c), a)), b) = mult(mult(mult(a, c), mult(b, a)), mult(mult(mult(a, c), a), b))) <=> (mult(mult(mult(mult(a, c), mult(b, a)), mult(a, mult(c, a))), b) = mult(mult(mult(a, c), mult(b, a)), mult(mult(a, mult(c, a)), b)))),
% 6.42/6.58 inference(symmetry,[status(thm)],[15483])).
% 6.42/6.58 tff(15485,plain,
% 6.42/6.58 (mult(mult(mult(mult(a, c), mult(b, a)), mult(a, mult(c, a))), b) = mult(mult(mult(a, c), mult(b, a)), mult(mult(a, mult(c, a)), b))),
% 6.42/6.58 inference(modus_ponens,[status(thm)],[15480, 15484])).
% 6.42/6.58 tff(15486,plain,
% 6.42/6.58 (~(mult(mult(mult(mult(a, c), mult(b, a)), mult(a, c)), mult(a, b)) = mult(mult(mult(a, c), mult(b, a)), mult(mult(a, c), mult(a, b))))),
% 6.42/6.58 inference(unit_resolution,[status(thm)],[6961, 15485, 614, 12876, 6842])).
% 6.42/6.58 tff(15487,plain,
% 6.42/6.58 ((~(mult(mult(mult(mult(a, c), mult(b, a)), mult(a, b)), mult(a, c)) = mult(mult(mult(a, c), mult(b, a)), mult(mult(a, b), mult(a, c))))) | (~(mult(mult(mult(mult(a, c), mult(b, a)), mult(a, c)), mult(a, b)) = mult(mult(mult(a, c), mult(b, a)), mult(mult(a, c), mult(a, b)))))),
% 6.42/6.58 inference(unit_resolution,[status(thm)],[6963, 15486])).
% 6.42/6.58 tff(15488,plain,
% 6.42/6.58 (~((~(mult(mult(mult(mult(a, c), mult(b, a)), mult(a, b)), mult(a, c)) = mult(mult(mult(a, c), mult(b, a)), mult(mult(a, c), mult(a, b))))) | (~(mult(mult(mult(mult(a, c), mult(b, a)), mult(a, c)), mult(a, b)) = mult(mult(mult(a, c), mult(b, a)), mult(mult(a, b), mult(a, c))))))),
% 6.42/6.58 inference(unit_resolution,[status(thm)],[6968, 15487])).
% 6.42/6.58 tff(15489,plain,
% 6.42/6.58 (mult(mult(mult(mult(a, c), mult(b, a)), mult(a, c)), mult(a, b)) = mult(mult(mult(a, c), mult(b, a)), mult(mult(a, b), mult(a, c)))),
% 6.42/6.58 inference(unit_resolution,[status(thm)],[6970, 15488])).
% 6.42/6.58 tff(15490,plain,
% 6.42/6.58 (mult(mult(mult(a, c), mult(b, a)), mult(mult(a, b), mult(a, c))) = mult(mult(mult(mult(a, c), mult(b, a)), mult(a, c)), mult(a, b))),
% 6.42/6.58 inference(symmetry,[status(thm)],[15489])).
% 6.42/6.58 tff(15491,plain,
% 6.42/6.58 (mult(mult(mult(a, c), mult(b, a)), mult(mult(mult(a, b), c), a)) = mult(mult(mult(a, c), mult(b, a)), mult(mult(a, b), mult(a, c)))),
% 6.42/6.58 inference(monotonicity,[status(thm)],[168])).
% 6.42/6.58 tff(15492,plain,
% 6.42/6.58 (mult(mult(mult(a, c), mult(b, a)), mult(mult(mult(a, b), c), a)) = mult(mult(mult(a, c), mult(b, a)), mult(mult(a, c), mult(b, a)))),
% 6.42/6.58 inference(transitivity,[status(thm)],[15491, 15490, 12877, 15481, 15480, 15470])).
% 6.42/6.58 tff(15493,plain,
% 6.42/6.58 (ld(mult(mult(a, c), mult(b, a)), mult(mult(mult(a, c), mult(b, a)), mult(mult(mult(a, b), c), a))) = ld(mult(mult(a, c), mult(b, a)), mult(mult(mult(a, c), mult(b, a)), mult(mult(a, c), mult(b, a))))),
% 6.42/6.58 inference(monotonicity,[status(thm)],[15492])).
% 6.42/6.58 tff(15494,plain,
% 6.42/6.58 (ld(mult(mult(a, c), mult(b, a)), mult(mult(mult(a, c), mult(b, a)), mult(mult(a, c), mult(b, a)))) = ld(mult(mult(a, c), mult(b, a)), mult(mult(mult(a, c), mult(b, a)), mult(mult(mult(a, b), c), a)))),
% 6.42/6.58 inference(symmetry,[status(thm)],[15493])).
% 6.42/6.58 tff(15495,plain,
% 6.42/6.58 (mult(a, mult(b, mult(c, a))) = mult(mult(mult(a, b), c), a)),
% 6.42/6.58 inference(transitivity,[status(thm)],[13277, 13276, 6977, 15494, 15468])).
% 6.42/6.58 tff(15496,plain,
% 6.42/6.58 ($false),
% 6.42/6.58 inference(unit_resolution,[status(thm)],[194, 15495])).
% 6.42/6.58 tff(15497,plain,((~(mult(mult(mult(mult(a, c), mult(b, a)), a), c) = mult(mult(mult(a, c), mult(b, a)), mult(a, c)))) | (~(mult(mult(mult(a, b), c), a) = mult(mult(a, b), mult(a, c)))) | (~(mult(mult(mult(a, c), a), b) = mult(mult(a, c), mult(b, a)))) | (mult(mult(mult(a, c), b), a) = mult(mult(a, c), mult(b, a))) | (~(mult(mult(a, mult(c, a)), b) = mult(a, mult(b, mult(c, a))))) | (mult(mult(mult(mult(mult(a, c), mult(b, a)), mult(a, c)), a), b) = mult(mult(mult(mult(a, c), mult(b, a)), mult(a, c)), mult(b, a))) | (~(mult(mult(mult(b, a), mult(a, c)), mult(b, a)) = mult(mult(b, a), mult(mult(b, a), mult(a, c)))))), inference(lemma,lemma(discharge,[]))).
% 6.42/6.58 tff(15498,plain,
% 6.42/6.58 (~(mult(mult(mult(mult(a, c), mult(b, a)), a), c) = mult(mult(mult(a, c), mult(b, a)), mult(a, c)))),
% 6.42/6.58 inference(unit_resolution,[status(thm)],[15497, 6808, 1362, 614, 1736, 168, 8734])).
% 6.42/6.58 tff(15499,plain,
% 6.42/6.58 ((~(mult(mult(mult(mult(a, c), mult(b, a)), a), c) = mult(mult(mult(a, c), mult(b, a)), mult(a, c)))) | (~(mult(mult(mult(mult(a, c), mult(b, a)), c), a) = mult(mult(mult(a, c), mult(b, a)), mult(c, a))))),
% 6.42/6.58 inference(unit_resolution,[status(thm)],[8949, 15498])).
% 6.42/6.58 tff(15500,plain,
% 6.42/6.58 (~((~(mult(mult(mult(mult(a, c), mult(b, a)), a), c) = mult(mult(mult(a, c), mult(b, a)), mult(c, a)))) | (~(mult(mult(mult(mult(a, c), mult(b, a)), c), a) = mult(mult(mult(a, c), mult(b, a)), mult(a, c)))))),
% 6.42/6.58 inference(unit_resolution,[status(thm)],[8843, 15499])).
% 6.42/6.58 tff(15501,plain,
% 6.42/6.58 (mult(mult(mult(mult(a, c), mult(b, a)), c), a) = mult(mult(mult(a, c), mult(b, a)), mult(a, c))),
% 6.42/6.58 inference(unit_resolution,[status(thm)],[8835, 15500])).
% 6.42/6.59 tff(15502,plain,
% 6.42/6.59 (mult(mult(mult(mult(a, c), mult(b, a)), c), a) = mult(mult(mult(a, c), mult(b, a)), mult(c, a))),
% 6.42/6.59 inference(transitivity,[status(thm)],[15501, 15466, 15463, 15446])).
% 6.42/6.59 tff(15503,plain,
% 6.42/6.59 ((mult(mult(mult(a, c), mult(b, a)), mult(a, c)) = mult(mult(mult(mult(a, c), mult(b, a)), a), c)) <=> (mult(mult(mult(mult(a, c), mult(b, a)), a), c) = mult(mult(mult(a, c), mult(b, a)), mult(a, c)))),
% 6.42/6.59 inference(commutativity,[status(thm)],[])).
% 6.42/6.59 tff(15504,plain,
% 6.42/6.59 (mult(mult(mult(mult(a, c), mult(b, a)), a), c) = mult(mult(mult(a, c), mult(b, a)), mult(c, a))),
% 6.42/6.59 inference(unit_resolution,[status(thm)],[8952, 15500])).
% 6.42/6.59 tff(15505,plain,
% 6.42/6.59 (mult(mult(mult(a, c), mult(b, a)), mult(c, a)) = mult(mult(mult(mult(a, c), mult(b, a)), a), c)),
% 6.42/6.59 inference(symmetry,[status(thm)],[15504])).
% 6.42/6.59 tff(15506,plain,
% 6.42/6.59 ((mult(mult(mult(mult(a, c), mult(b, a)), c), a) = mult(mult(mult(a, c), mult(b, a)), mult(c, a))) <=> (mult(mult(mult(a, c), mult(b, a)), mult(a, c)) = mult(mult(mult(mult(a, c), mult(b, a)), a), c))),
% 6.42/6.59 inference(monotonicity,[status(thm)],[15501, 15505])).
% 6.42/6.59 tff(15507,plain,
% 6.42/6.59 ((mult(mult(mult(mult(a, c), mult(b, a)), c), a) = mult(mult(mult(a, c), mult(b, a)), mult(c, a))) <=> (mult(mult(mult(mult(a, c), mult(b, a)), a), c) = mult(mult(mult(a, c), mult(b, a)), mult(a, c)))),
% 6.42/6.59 inference(transitivity,[status(thm)],[15506, 15503])).
% 6.42/6.59 tff(15508,plain,
% 6.42/6.59 ((mult(mult(mult(mult(a, c), mult(b, a)), a), c) = mult(mult(mult(a, c), mult(b, a)), mult(a, c))) <=> (mult(mult(mult(mult(a, c), mult(b, a)), c), a) = mult(mult(mult(a, c), mult(b, a)), mult(c, a)))),
% 6.42/6.59 inference(symmetry,[status(thm)],[15507])).
% 6.42/6.59 tff(15509,plain,
% 6.42/6.59 ((~(mult(mult(mult(mult(a, c), mult(b, a)), a), c) = mult(mult(mult(a, c), mult(b, a)), mult(a, c)))) <=> (~(mult(mult(mult(mult(a, c), mult(b, a)), c), a) = mult(mult(mult(a, c), mult(b, a)), mult(c, a))))),
% 6.42/6.59 inference(monotonicity,[status(thm)],[15508])).
% 6.42/6.59 tff(15510,plain,
% 6.42/6.59 (~(mult(mult(mult(mult(a, c), mult(b, a)), c), a) = mult(mult(mult(a, c), mult(b, a)), mult(c, a)))),
% 6.42/6.59 inference(modus_ponens,[status(thm)],[15498, 15509])).
% 6.42/6.59 tff(15511,plain,
% 6.42/6.59 ($false),
% 6.42/6.59 inference(unit_resolution,[status(thm)],[15510, 15502])).
% 6.42/6.59 tff(15512,plain,((mult(mult(mult(mult(mult(a, c), mult(b, a)), mult(a, c)), a), b) = mult(mult(mult(mult(a, c), mult(b, a)), mult(a, c)), mult(b, a))) | (~(mult(mult(mult(mult(b, a), mult(a, c)), b), a) = mult(mult(mult(b, a), mult(a, c)), mult(b, a)))) | (~(mult(mult(a, mult(b, mult(c, a))), a) = mult(a, mult(mult(b, mult(c, a)), a)))) | (~(mult(mult(a, c), mult(mult(a, b), a)) = mult(a, mult(mult(mult(a, b), a), c)))) | (~(mult(mult(a, mult(c, a)), b) = mult(a, mult(b, mult(c, a))))) | (~(mult(mult(mult(a, c), a), b) = mult(mult(a, c), mult(b, a)))) | (~(mult(mult(a, mult(b, a)), c) = mult(a, mult(c, mult(b, a))))) | (~(mult(mult(c, a), b) = mult(c, mult(b, a)))) | (mult(mult(mult(a, c), b), a) = mult(mult(a, c), mult(b, a))) | (~(mult(mult(mult(a, b), c), a) = mult(mult(a, b), mult(a, c)))) | (~(mult(mult(mult(b, a), mult(a, c)), mult(b, a)) = mult(mult(b, a), mult(mult(b, a), mult(a, c)))))), inference(lemma,lemma(discharge,[]))).
% 6.42/6.59 tff(15513,plain,
% 6.42/6.59 (mult(mult(mult(mult(mult(a, c), mult(b, a)), mult(a, c)), a), b) = mult(mult(mult(mult(a, c), mult(b, a)), mult(a, c)), mult(b, a))),
% 6.42/6.59 inference(unit_resolution,[status(thm)],[15512, 15360, 13577, 15311, 1736, 1362, 218, 342, 614, 168, 15444])).
% 6.42/6.59 tff(15514,plain,
% 6.42/6.59 (~(mult(mult(mult(mult(b, a), mult(a, c)), a), b) = mult(mult(mult(b, a), mult(a, c)), mult(b, a)))),
% 6.42/6.59 inference(unit_resolution,[status(thm)],[10972, 15513, 614])).
% 6.42/6.59 tff(15515,plain,
% 6.42/6.59 ((mult(mult(a, mult(mult(c, a), b)), mult(a, b)) = mult(mult(mult(a, mult(mult(c, a), b)), b), a)) <=> (mult(mult(mult(a, mult(mult(c, a), b)), b), a) = mult(mult(a, mult(mult(c, a), b)), mult(a, b)))),
% 6.42/6.59 inference(commutativity,[status(thm)],[])).
% 6.42/6.59 tff(15516,plain,
% 6.42/6.59 (mult(mult(mult(b, a), mult(a, c)), mult(b, a)) = mult(mult(mult(a, mult(mult(c, a), b)), b), a)),
% 6.42/6.59 inference(transitivity,[status(thm)],[10925, 15389])).
% 6.42/6.59 tff(15517,plain,
% 6.42/6.59 (mult(a, mult(mult(c, a), b)) = mult(mult(b, a), mult(a, c))),
% 6.42/6.59 inference(transitivity,[status(thm)],[352, 2010, 8336, 11988, 15382, 12181])).
% 6.42/6.59 tff(15518,plain,
% 6.42/6.59 (mult(mult(a, mult(mult(c, a), b)), mult(a, b)) = mult(mult(mult(b, a), mult(a, c)), mult(a, b))),
% 6.42/6.59 inference(monotonicity,[status(thm)],[15517])).
% 6.42/6.59 tff(15519,plain,
% 6.42/6.59 (mult(mult(mult(b, a), mult(a, c)), mult(a, b)) = mult(mult(a, mult(mult(c, a), b)), mult(a, b))),
% 6.42/6.59 inference(symmetry,[status(thm)],[15518])).
% 6.42/6.59 tff(15520,plain,
% 6.42/6.59 (mult(mult(mult(mult(b, a), mult(a, c)), a), b) = mult(mult(a, mult(mult(c, a), b)), mult(a, b))),
% 6.42/6.59 inference(transitivity,[status(thm)],[8398, 15519])).
% 6.42/6.59 tff(15521,plain,
% 6.42/6.59 ((mult(mult(mult(mult(b, a), mult(a, c)), a), b) = mult(mult(mult(b, a), mult(a, c)), mult(b, a))) <=> (mult(mult(a, mult(mult(c, a), b)), mult(a, b)) = mult(mult(mult(a, mult(mult(c, a), b)), b), a))),
% 6.42/6.59 inference(monotonicity,[status(thm)],[15520, 15516])).
% 6.42/6.59 tff(15522,plain,
% 6.42/6.59 ((mult(mult(mult(mult(b, a), mult(a, c)), a), b) = mult(mult(mult(b, a), mult(a, c)), mult(b, a))) <=> (mult(mult(mult(a, mult(mult(c, a), b)), b), a) = mult(mult(a, mult(mult(c, a), b)), mult(a, b)))),
% 6.42/6.59 inference(transitivity,[status(thm)],[15521, 15515])).
% 6.42/6.59 tff(15523,plain,
% 6.42/6.59 ((mult(mult(mult(a, mult(mult(c, a), b)), b), a) = mult(mult(a, mult(mult(c, a), b)), mult(a, b))) <=> (mult(mult(mult(mult(b, a), mult(a, c)), a), b) = mult(mult(mult(b, a), mult(a, c)), mult(b, a)))),
% 6.42/6.59 inference(symmetry,[status(thm)],[15522])).
% 6.42/6.59 tff(15524,assumption,(mult(mult(mult(a, mult(mult(c, a), b)), b), a) = mult(mult(a, mult(mult(c, a), b)), mult(a, b))), introduced(assumption)).
% 6.42/6.59 tff(15525,plain,
% 6.42/6.59 (mult(mult(mult(mult(b, a), mult(a, c)), a), b) = mult(mult(mult(b, a), mult(a, c)), mult(b, a))),
% 6.42/6.59 inference(modus_ponens,[status(thm)],[15524, 15523])).
% 6.42/6.59 tff(15526,plain,
% 6.42/6.59 ($false),
% 6.42/6.59 inference(unit_resolution,[status(thm)],[8394, 15525])).
% 6.42/6.59 tff(15527,plain,((mult(mult(mult(mult(b, a), mult(a, c)), a), b) = mult(mult(mult(b, a), mult(a, c)), mult(b, a))) | (~(mult(mult(mult(a, mult(mult(c, a), b)), b), a) = mult(mult(a, mult(mult(c, a), b)), mult(a, b)))) | (~(mult(mult(mult(mult(b, a), mult(a, c)), b), a) = mult(mult(mult(b, a), mult(a, c)), mult(b, a)))) | (~(mult(mult(a, mult(b, mult(c, a))), a) = mult(a, mult(mult(b, mult(c, a)), a)))) | (~(mult(mult(a, c), mult(mult(a, b), a)) = mult(a, mult(mult(mult(a, b), a), c)))) | (~(mult(mult(a, mult(c, a)), b) = mult(a, mult(b, mult(c, a))))) | (~(mult(mult(mult(a, c), a), b) = mult(mult(a, c), mult(b, a)))) | (~(mult(mult(a, mult(b, a)), c) = mult(a, mult(c, mult(b, a))))) | (~(mult(mult(c, a), b) = mult(c, mult(b, a))))), inference(lemma,lemma(discharge,[]))).
% 6.42/6.59 tff(15528,plain,
% 6.42/6.59 (~(mult(mult(mult(a, mult(mult(c, a), b)), b), a) = mult(mult(a, mult(mult(c, a), b)), mult(a, b)))),
% 6.42/6.59 inference(unit_resolution,[status(thm)],[15527, 15514, 15360, 13577, 15311, 1736, 1362, 218, 342])).
% 6.42/6.59 tff(15529,plain,
% 6.42/6.59 ((mult(b, mult(mult(mult(a, c), mult(b, a)), a)) = mult(mult(b, a), mult(mult(a, c), mult(b, a)))) <=> (mult(mult(b, a), mult(mult(a, c), mult(b, a))) = mult(b, mult(mult(mult(a, c), mult(b, a)), a)))),
% 6.42/6.59 inference(commutativity,[status(thm)],[])).
% 6.42/6.59 tff(15530,plain,
% 6.42/6.59 (mult(mult(b, a), mult(a, mult(b, mult(c, a)))) = mult(mult(b, a), mult(mult(a, c), mult(b, a)))),
% 6.42/6.59 inference(monotonicity,[status(thm)],[15041])).
% 6.42/6.59 tff(15531,plain,
% 6.42/6.59 (mult(mult(mult(a, c), mult(b, a)), a) = mult(a, mult(mult(mult(a, b), a), c))),
% 6.42/6.59 inference(transitivity,[status(thm)],[11029, 10731, 13404])).
% 6.42/6.59 tff(15532,plain,
% 6.42/6.59 (mult(b, mult(mult(mult(a, c), mult(b, a)), a)) = mult(b, mult(a, mult(mult(mult(a, b), a), c)))),
% 6.42/6.59 inference(monotonicity,[status(thm)],[15531])).
% 6.42/6.59 tff(15533,plain,
% 6.42/6.59 (mult(b, mult(a, mult(mult(mult(a, b), a), c))) = mult(b, mult(mult(mult(a, c), mult(b, a)), a))),
% 6.42/6.59 inference(symmetry,[status(thm)],[15532])).
% 6.42/6.59 tff(15534,plain,
% 6.42/6.59 (mult(a, mult(mult(mult(a, b), a), c)) = mult(mult(a, mult(b, mult(c, a))), a)),
% 6.42/6.59 inference(transitivity,[status(thm)],[13405, 10732, 11500, 15308])).
% 6.42/6.59 tff(15535,plain,
% 6.42/6.59 (mult(b, mult(a, mult(mult(mult(a, b), a), c))) = mult(b, mult(mult(a, mult(b, mult(c, a))), a))),
% 6.42/6.59 inference(monotonicity,[status(thm)],[15534])).
% 6.42/6.59 tff(15536,plain,
% 6.42/6.59 (mult(b, mult(mult(a, mult(b, mult(c, a))), a)) = mult(b, mult(a, mult(mult(mult(a, b), a), c)))),
% 6.42/6.59 inference(symmetry,[status(thm)],[15535])).
% 6.42/6.59 tff(15537,plain,
% 6.42/6.59 (mult(mult(mult(b, a), mult(b, mult(c, a))), a) = mult(b, mult(mult(mult(a, c), mult(b, a)), a))),
% 6.42/6.59 inference(transitivity,[status(thm)],[13746, 15536, 15533])).
% 6.42/6.59 tff(15538,plain,
% 6.42/6.59 ((mult(mult(mult(b, a), mult(b, mult(c, a))), a) = mult(mult(b, a), mult(a, mult(b, mult(c, a))))) <=> (mult(b, mult(mult(mult(a, c), mult(b, a)), a)) = mult(mult(b, a), mult(mult(a, c), mult(b, a))))),
% 6.42/6.59 inference(monotonicity,[status(thm)],[15537, 15530])).
% 6.42/6.59 tff(15539,plain,
% 6.42/6.59 ((mult(mult(mult(b, a), mult(b, mult(c, a))), a) = mult(mult(b, a), mult(a, mult(b, mult(c, a))))) <=> (mult(mult(b, a), mult(mult(a, c), mult(b, a))) = mult(b, mult(mult(mult(a, c), mult(b, a)), a)))),
% 6.42/6.59 inference(transitivity,[status(thm)],[15538, 15529])).
% 6.42/6.59 tff(15540,plain,
% 6.42/6.59 ((mult(mult(b, a), mult(mult(a, c), mult(b, a))) = mult(b, mult(mult(mult(a, c), mult(b, a)), a))) <=> (mult(mult(mult(b, a), mult(b, mult(c, a))), a) = mult(mult(b, a), mult(a, mult(b, mult(c, a)))))),
% 6.42/6.59 inference(symmetry,[status(thm)],[15539])).
% 6.42/6.59 tff(15541,plain,
% 6.42/6.59 (mult(b, mult(a, mult(mult(mult(a, b), a), c))) = mult(b, mult(mult(mult(a, c), a), mult(a, b)))),
% 6.42/6.59 inference(symmetry,[status(thm)],[15178])).
% 6.42/6.59 tff(15542,plain,
% 6.42/6.59 (mult(b, mult(mult(mult(a, c), mult(b, a)), a)) = mult(b, mult(mult(mult(a, c), a), mult(a, b)))),
% 6.42/6.59 inference(transitivity,[status(thm)],[15532, 15541])).
% 6.42/6.59 tff(15543,plain,
% 6.42/6.59 (mult(b, mult(mult(a, b), mult(mult(a, c), a))) = mult(mult(b, mult(mult(a, c), a)), mult(a, b))),
% 6.42/6.59 inference(symmetry,[status(thm)],[12051])).
% 6.42/6.59 tff(15544,plain,
% 6.42/6.59 (mult(mult(a, mult(mult(c, a), b)), a) = mult(mult(mult(mult(a, b), a), c), a)),
% 6.42/6.59 inference(monotonicity,[status(thm)],[14285])).
% 6.42/6.59 tff(15545,plain,
% 6.42/6.59 (mult(b, mult(mult(a, mult(mult(c, a), b)), a)) = mult(b, mult(mult(mult(mult(a, b), a), c), a))),
% 6.42/6.59 inference(monotonicity,[status(thm)],[15544])).
% 6.42/6.59 tff(15546,plain,
% 6.42/6.59 (mult(mult(mult(a, b), a), c) = mult(mult(b, a), mult(a, c))),
% 6.42/6.59 inference(transitivity,[status(thm)],[11988, 15382, 12181])).
% 6.42/6.59 tff(15547,plain,
% 6.42/6.59 (mult(mult(b, a), mult(mult(mult(a, b), a), c)) = mult(mult(b, a), mult(mult(b, a), mult(a, c)))),
% 6.42/6.59 inference(monotonicity,[status(thm)],[15546])).
% 6.42/6.59 tff(15548,plain,
% 6.42/6.59 (mult(mult(b, a), mult(a, mult(mult(c, a), b))) = mult(mult(mult(a, mult(mult(c, a), b)), b), a)),
% 6.42/6.59 inference(transitivity,[status(thm)],[14286, 15547, 8736, 10925, 15389])).
% 6.42/6.59 tff(15549,plain,
% 6.42/6.59 (mult(mult(mult(b, a), mult(mult(c, a), b)), a) = mult(mult(a, mult(mult(c, a), b)), mult(a, b))),
% 6.42/6.59 inference(transitivity,[status(thm)],[11157, 15545, 11581, 15543, 11585, 15519])).
% 6.42/6.59 tff(15550,plain,
% 6.42/6.59 ((mult(mult(mult(b, a), mult(mult(c, a), b)), a) = mult(mult(b, a), mult(a, mult(mult(c, a), b)))) <=> (mult(mult(a, mult(mult(c, a), b)), mult(a, b)) = mult(mult(mult(a, mult(mult(c, a), b)), b), a))),
% 6.42/6.59 inference(monotonicity,[status(thm)],[15549, 15548])).
% 6.42/6.59 tff(15551,plain,
% 6.42/6.59 ((mult(mult(mult(b, a), mult(mult(c, a), b)), a) = mult(mult(b, a), mult(a, mult(mult(c, a), b)))) <=> (mult(mult(mult(a, mult(mult(c, a), b)), b), a) = mult(mult(a, mult(mult(c, a), b)), mult(a, b)))),
% 6.42/6.59 inference(transitivity,[status(thm)],[15550, 15515])).
% 6.42/6.59 tff(15552,plain,
% 6.42/6.59 ((mult(mult(mult(a, mult(mult(c, a), b)), b), a) = mult(mult(a, mult(mult(c, a), b)), mult(a, b))) <=> (mult(mult(mult(b, a), mult(mult(c, a), b)), a) = mult(mult(b, a), mult(a, mult(mult(c, a), b))))),
% 6.42/6.59 inference(symmetry,[status(thm)],[15551])).
% 6.42/6.59 tff(15553,plain,
% 6.42/6.59 ((~(mult(mult(mult(a, mult(mult(c, a), b)), b), a) = mult(mult(a, mult(mult(c, a), b)), mult(a, b)))) <=> (~(mult(mult(mult(b, a), mult(mult(c, a), b)), a) = mult(mult(b, a), mult(a, mult(mult(c, a), b)))))),
% 6.42/6.59 inference(monotonicity,[status(thm)],[15552])).
% 6.42/6.59 tff(15554,assumption,(~(mult(mult(mult(a, mult(mult(c, a), b)), b), a) = mult(mult(a, mult(mult(c, a), b)), mult(a, b)))), introduced(assumption)).
% 6.42/6.60 tff(15555,plain,
% 6.42/6.60 (~(mult(mult(mult(b, a), mult(mult(c, a), b)), a) = mult(mult(b, a), mult(a, mult(mult(c, a), b))))),
% 6.42/6.60 inference(modus_ponens,[status(thm)],[15554, 15553])).
% 6.42/6.60 tff(15556,plain,
% 6.42/6.60 ((~(mult(mult(mult(b, a), a), mult(mult(c, a), b)) = mult(mult(b, a), mult(mult(mult(c, a), b), a)))) | (~(mult(mult(mult(b, a), mult(mult(c, a), b)), a) = mult(mult(b, a), mult(a, mult(mult(c, a), b)))))),
% 6.42/6.60 inference(unit_resolution,[status(thm)],[11210, 15555])).
% 6.42/6.60 tff(15557,plain,
% 6.42/6.60 (~((~(mult(mult(mult(b, a), a), mult(mult(c, a), b)) = mult(mult(b, a), mult(a, mult(mult(c, a), b))))) | (~(mult(mult(mult(b, a), mult(mult(c, a), b)), a) = mult(mult(b, a), mult(mult(mult(c, a), b), a)))))),
% 6.42/6.60 inference(unit_resolution,[status(thm)],[11218, 15556])).
% 6.42/6.60 tff(15558,plain,
% 6.42/6.60 (mult(mult(mult(b, a), mult(mult(c, a), b)), a) = mult(mult(b, a), mult(mult(mult(c, a), b), a))),
% 6.42/6.60 inference(unit_resolution,[status(thm)],[11220, 15557])).
% 6.42/6.60 tff(15559,plain,
% 6.42/6.60 (mult(mult(b, a), mult(mult(mult(c, a), b), a)) = mult(mult(mult(b, a), mult(mult(c, a), b)), a)),
% 6.42/6.60 inference(symmetry,[status(thm)],[15558])).
% 6.42/6.60 tff(15560,plain,
% 6.42/6.60 (mult(mult(a, c), mult(b, a)) = mult(mult(mult(c, a), b), a)),
% 6.42/6.60 inference(transitivity,[status(thm)],[10816, 15370, 12147, 2808])).
% 6.42/6.60 tff(15561,plain,
% 6.42/6.60 (mult(mult(b, a), mult(mult(a, c), mult(b, a))) = mult(mult(b, a), mult(mult(mult(c, a), b), a))),
% 6.42/6.60 inference(monotonicity,[status(thm)],[15560])).
% 6.42/6.60 tff(15562,plain,
% 6.42/6.60 (mult(mult(b, a), mult(mult(a, c), mult(b, a))) = mult(mult(b, mult(mult(a, c), a)), mult(a, b))),
% 6.42/6.60 inference(transitivity,[status(thm)],[15561, 15559, 11157, 15545, 11581, 15543])).
% 6.42/6.60 tff(15563,plain,
% 6.42/6.60 ((mult(mult(b, a), mult(mult(a, c), mult(b, a))) = mult(b, mult(mult(mult(a, c), mult(b, a)), a))) <=> (mult(mult(b, mult(mult(a, c), a)), mult(a, b)) = mult(b, mult(mult(mult(a, c), a), mult(a, b))))),
% 6.42/6.60 inference(monotonicity,[status(thm)],[15562, 15542])).
% 6.42/6.60 tff(15564,plain,
% 6.42/6.60 ((mult(mult(b, mult(mult(a, c), a)), mult(a, b)) = mult(b, mult(mult(mult(a, c), a), mult(a, b)))) <=> (mult(mult(b, a), mult(mult(a, c), mult(b, a))) = mult(b, mult(mult(mult(a, c), mult(b, a)), a)))),
% 6.42/6.60 inference(symmetry,[status(thm)],[15563])).
% 6.42/6.60 tff(15565,plain,
% 6.42/6.60 ((mult(mult(b, mult(mult(a, c), a)), mult(a, b)) = mult(b, mult(mult(mult(a, c), a), mult(a, b)))) <=> (mult(mult(mult(b, a), mult(b, mult(c, a))), a) = mult(mult(b, a), mult(a, mult(b, mult(c, a)))))),
% 6.42/6.60 inference(transitivity,[status(thm)],[15564, 15540])).
% 6.42/6.60 tff(15566,plain,
% 6.42/6.60 ((~(mult(mult(b, mult(mult(a, c), a)), mult(a, b)) = mult(b, mult(mult(mult(a, c), a), mult(a, b))))) <=> (~(mult(mult(mult(b, a), mult(b, mult(c, a))), a) = mult(mult(b, a), mult(a, mult(b, mult(c, a))))))),
% 6.42/6.60 inference(monotonicity,[status(thm)],[15565])).
% 6.42/6.60 tff(15567,plain,
% 6.42/6.60 (~(mult(mult(mult(b, a), mult(b, mult(c, a))), a) = mult(mult(b, a), mult(a, mult(b, mult(c, a)))))),
% 6.42/6.60 inference(modus_ponens,[status(thm)],[12048, 15566])).
% 6.42/6.60 tff(15568,plain,
% 6.42/6.60 ((~(mult(mult(mult(b, a), a), mult(b, mult(c, a))) = mult(mult(b, a), mult(mult(b, mult(c, a)), a)))) | (~(mult(mult(mult(b, a), mult(b, mult(c, a))), a) = mult(mult(b, a), mult(a, mult(b, mult(c, a))))))),
% 6.42/6.60 inference(unit_resolution,[status(thm)],[15005, 15567])).
% 6.42/6.60 tff(15569,plain,
% 6.42/6.60 (~((~(mult(mult(mult(b, a), a), mult(b, mult(c, a))) = mult(mult(b, a), mult(a, mult(b, mult(c, a)))))) | (~(mult(mult(mult(b, a), mult(b, mult(c, a))), a) = mult(mult(b, a), mult(mult(b, mult(c, a)), a)))))),
% 6.42/6.60 inference(unit_resolution,[status(thm)],[14263, 15568])).
% 6.42/6.60 tff(15570,plain,
% 6.42/6.60 (mult(mult(mult(b, a), mult(b, mult(c, a))), a) = mult(mult(b, a), mult(mult(b, mult(c, a)), a))),
% 6.42/6.60 inference(unit_resolution,[status(thm)],[14251, 15569])).
% 6.42/6.60 tff(15571,plain,
% 6.42/6.60 (mult(mult(mult(b, a), mult(b, mult(c, a))), a) = mult(mult(mult(mult(a, b), mult(c, a)), b), a)),
% 6.42/6.60 inference(transitivity,[status(thm)],[15570, 14242, 8736, 10925, 15389, 15380])).
% 6.42/6.60 tff(15572,plain,
% 6.42/6.60 (rd(mult(mult(mult(b, a), mult(b, mult(c, a))), a), a) = rd(mult(mult(mult(mult(a, b), mult(c, a)), b), a), a)),
% 6.44/6.60 inference(monotonicity,[status(thm)],[15571])).
% 6.44/6.60 tff(15573,plain,
% 6.44/6.60 (mult(mult(b, a), mult(b, mult(c, a))) = mult(mult(a, b), mult(b, mult(c, a)))),
% 6.44/6.60 inference(transitivity,[status(thm)],[14272, 15572, 15375, 11829, 14415])).
% 6.44/6.60 tff(15574,plain,
% 6.44/6.60 (rd(mult(mult(b, a), mult(b, mult(c, a))), mult(b, mult(c, a))) = rd(mult(mult(a, b), mult(b, mult(c, a))), mult(b, mult(c, a)))),
% 6.44/6.60 inference(monotonicity,[status(thm)],[15573])).
% 6.44/6.60 tff(15575,plain,
% 6.44/6.60 (rd(mult(mult(a, b), mult(b, mult(c, a))), mult(b, mult(c, a))) = rd(mult(mult(b, a), mult(b, mult(c, a))), mult(b, mult(c, a)))),
% 6.44/6.60 inference(symmetry,[status(thm)],[15574])).
% 6.44/6.60 tff(15576,plain,
% 6.44/6.60 (mult(a, b) = mult(b, a)),
% 6.44/6.60 inference(transitivity,[status(thm)],[13759, 15575, 13730])).
% 6.44/6.60 tff(15577,plain,
% 6.44/6.60 ($false),
% 6.44/6.60 inference(unit_resolution,[status(thm)],[1, 15576])).
% 6.44/6.60 tff(15578,plain,((mult(mult(b, mult(mult(a, c), a)), mult(a, b)) = mult(b, mult(mult(mult(a, c), a), mult(a, b)))) | (mult(a, b) = mult(b, a)) | (~(mult(mult(a, b), mult(b, mult(c, a))) = mult(a, mult(mult(b, mult(c, a)), b)))) | (~(mult(mult(mult(b, a), mult(a, c)), mult(b, a)) = mult(mult(b, a), mult(mult(b, a), mult(a, c))))) | (~(mult(mult(mult(mult(b, a), mult(a, c)), b), a) = mult(mult(mult(b, a), mult(a, c)), mult(b, a)))) | (~(mult(mult(a, mult(b, mult(c, a))), a) = mult(a, mult(mult(b, mult(c, a)), a)))) | (~(mult(mult(a, c), mult(mult(a, b), a)) = mult(a, mult(mult(mult(a, b), a), c)))) | (~(mult(mult(a, mult(c, a)), b) = mult(a, mult(b, mult(c, a))))) | (~(mult(mult(mult(a, c), a), b) = mult(mult(a, c), mult(b, a)))) | (~(mult(mult(a, mult(b, a)), c) = mult(a, mult(c, mult(b, a))))) | (~(mult(mult(c, a), b) = mult(c, mult(b, a)))) | (~(mult(mult(mult(a, c), a), mult(a, b)) = mult(mult(a, c), mult(mult(a, b), a)))) | (~(mult(mult(a, mult(mult(a, b), a)), c) = mult(a, mult(c, mult(mult(a, b), a))))) | (~(mult(mult(mult(a, a), mult(b, a)), c) = mult(mult(a, a), mult(mult(b, a), c)))) | (~(mult(mult(a, a), mult(b, mult(c, a))) = mult(a, mult(a, mult(b, mult(c, a)))))) | (~(mult(mult(a, a), mult(b, a)) = mult(a, mult(a, mult(b, a))))) | (mult(mult(mult(a, mult(mult(c, a), b)), b), a) = mult(mult(a, mult(mult(c, a), b)), mult(a, b)))), inference(lemma,lemma(discharge,[]))).
% 6.44/6.60 tff(15579,plain,
% 6.44/6.60 (mult(mult(b, mult(mult(a, c), a)), mult(a, b)) = mult(b, mult(mult(mult(a, c), a), mult(a, b)))),
% 6.44/6.60 inference(unit_resolution,[status(thm)],[15578, 15528, 15367, 15444, 15360, 13577, 15311, 1736, 1362, 218, 342, 6854, 15346, 15345, 15322, 11024, 1])).
% 6.44/6.60 tff(15580,plain,
% 6.44/6.60 (mult(b, mult(mult(mult(a, c), a), mult(a, b))) = mult(mult(b, mult(mult(a, c), a)), mult(a, b))),
% 6.44/6.60 inference(symmetry,[status(thm)],[15579])).
% 6.44/6.60 tff(15581,plain,
% 6.44/6.60 (mult(a, mult(mult(mult(a, b), a), c)) = mult(mult(mult(a, c), a), mult(a, b))),
% 6.44/6.60 inference(transitivity,[status(thm)],[15312, 15187])).
% 6.44/6.60 tff(15582,plain,
% 6.44/6.60 (mult(b, mult(a, mult(mult(mult(a, b), a), c))) = mult(b, mult(mult(mult(a, c), a), mult(a, b)))),
% 6.44/6.60 inference(monotonicity,[status(thm)],[15581])).
% 6.44/6.60 tff(15583,plain,
% 6.44/6.60 (mult(mult(a, mult(b, mult(c, a))), a) = mult(a, mult(mult(mult(a, b), a), c))),
% 6.44/6.60 inference(transitivity,[status(thm)],[15307, 11029, 10731, 15311])).
% 6.44/6.60 tff(15584,plain,
% 6.44/6.60 (mult(b, mult(mult(a, mult(b, mult(c, a))), a)) = mult(b, mult(a, mult(mult(mult(a, b), a), c)))),
% 6.44/6.60 inference(monotonicity,[status(thm)],[15583])).
% 6.44/6.60 tff(15585,plain,
% 6.44/6.60 (ld(a, mult(a, mult(mult(b, a), mult(a, c)))) = ld(a, mult(a, mult(mult(mult(a, b), a), c)))),
% 6.44/6.60 inference(symmetry,[status(thm)],[15314])).
% 6.44/6.60 tff(15586,plain,
% 6.44/6.60 (mult(mult(b, a), mult(a, c)) = mult(mult(a, b), mult(c, a))),
% 6.44/6.60 inference(transitivity,[status(thm)],[12189, 15585, 11987, 9222])).
% 6.44/6.60 tff(15587,plain,
% 6.44/6.60 (mult(mult(mult(b, a), mult(a, c)), b) = mult(mult(mult(a, b), mult(c, a)), b)),
% 6.44/6.60 inference(monotonicity,[status(thm)],[15586])).
% 6.44/6.60 tff(15588,plain,
% 6.44/6.60 (mult(mult(mult(a, b), mult(c, a)), b) = mult(mult(mult(b, a), mult(a, c)), b)),
% 6.44/6.60 inference(symmetry,[status(thm)],[15587])).
% 6.44/6.60 tff(15589,plain,
% 6.44/6.60 (mult(mult(a, mult(mult(c, a), b)), b) = mult(mult(mult(b, a), mult(a, c)), b)),
% 6.44/6.60 inference(transitivity,[status(thm)],[15091, 15588])).
% 6.44/6.60 tff(15590,plain,
% 6.44/6.60 (mult(mult(mult(a, mult(mult(c, a), b)), b), a) = mult(mult(mult(mult(b, a), mult(a, c)), b), a)),
% 6.44/6.60 inference(monotonicity,[status(thm)],[15589])).
% 6.44/6.60 tff(15591,plain,
% 6.44/6.60 (mult(mult(mult(mult(b, a), mult(a, c)), b), a) = mult(mult(mult(a, mult(mult(c, a), b)), b), a)),
% 6.44/6.60 inference(symmetry,[status(thm)],[15590])).
% 6.44/6.60 tff(15592,plain,
% 6.44/6.60 (mult(mult(mult(b, a), mult(a, c)), mult(b, a)) = mult(mult(mult(mult(b, a), mult(a, c)), b), a)),
% 6.44/6.60 inference(symmetry,[status(thm)],[15360])).
% 6.44/6.60 tff(15593,plain,
% 6.44/6.60 (mult(mult(b, a), mult(mult(b, a), mult(a, c))) = mult(mult(mult(b, a), mult(a, c)), mult(b, a))),
% 6.44/6.60 inference(symmetry,[status(thm)],[15444])).
% 6.44/6.60 tff(15594,plain,
% 6.44/6.60 (mult(mult(b, a), mult(mult(b, mult(c, a)), a)) = mult(mult(mult(a, mult(mult(c, a), b)), b), a)),
% 6.44/6.60 inference(transitivity,[status(thm)],[14242, 15593, 15592, 15591])).
% 6.44/6.60 tff(15595,plain,
% 6.44/6.60 (mult(mult(mult(b, a), mult(b, mult(c, a))), a) = mult(mult(a, mult(mult(c, a), b)), mult(a, b))),
% 6.44/6.60 inference(transitivity,[status(thm)],[13746, 15584, 15582, 15580, 11585, 15317])).
% 6.44/6.60 tff(15596,plain,
% 6.44/6.60 ((mult(mult(mult(b, a), mult(b, mult(c, a))), a) = mult(mult(b, a), mult(mult(b, mult(c, a)), a))) <=> (mult(mult(a, mult(mult(c, a), b)), mult(a, b)) = mult(mult(mult(a, mult(mult(c, a), b)), b), a))),
% 6.44/6.60 inference(monotonicity,[status(thm)],[15595, 15594])).
% 6.44/6.60 tff(15597,plain,
% 6.44/6.60 ((mult(mult(mult(b, a), mult(b, mult(c, a))), a) = mult(mult(b, a), mult(mult(b, mult(c, a)), a))) <=> (mult(mult(mult(a, mult(mult(c, a), b)), b), a) = mult(mult(a, mult(mult(c, a), b)), mult(a, b)))),
% 6.44/6.60 inference(transitivity,[status(thm)],[15596, 15515])).
% 6.44/6.60 tff(15598,plain,
% 6.44/6.60 ((mult(mult(mult(a, mult(mult(c, a), b)), b), a) = mult(mult(a, mult(mult(c, a), b)), mult(a, b))) <=> (mult(mult(mult(b, a), mult(b, mult(c, a))), a) = mult(mult(b, a), mult(mult(b, mult(c, a)), a)))),
% 6.44/6.60 inference(symmetry,[status(thm)],[15597])).
% 6.44/6.60 tff(15599,plain,
% 6.44/6.60 ((~(mult(mult(mult(a, mult(mult(c, a), b)), b), a) = mult(mult(a, mult(mult(c, a), b)), mult(a, b)))) <=> (~(mult(mult(mult(b, a), mult(b, mult(c, a))), a) = mult(mult(b, a), mult(mult(b, mult(c, a)), a))))),
% 6.44/6.60 inference(monotonicity,[status(thm)],[15598])).
% 6.44/6.60 tff(15600,plain,
% 6.44/6.60 (~(mult(mult(mult(b, a), mult(b, mult(c, a))), a) = mult(mult(b, a), mult(mult(b, mult(c, a)), a)))),
% 6.44/6.60 inference(modus_ponens,[status(thm)],[15528, 15599])).
% 6.44/6.60 tff(15601,plain,
% 6.44/6.60 ((~(mult(mult(mult(b, a), a), mult(b, mult(c, a))) = mult(mult(b, a), mult(a, mult(b, mult(c, a)))))) | (~(mult(mult(mult(b, a), mult(b, mult(c, a))), a) = mult(mult(b, a), mult(mult(b, mult(c, a)), a))))),
% 6.44/6.60 inference(unit_resolution,[status(thm)],[14251, 15600])).
% 6.44/6.60 tff(15602,plain,
% 6.44/6.60 (~((~(mult(mult(mult(b, a), a), mult(b, mult(c, a))) = mult(mult(b, a), mult(mult(b, mult(c, a)), a)))) | (~(mult(mult(mult(b, a), mult(b, mult(c, a))), a) = mult(mult(b, a), mult(a, mult(b, mult(c, a)))))))),
% 6.44/6.60 inference(unit_resolution,[status(thm)],[14263, 15601])).
% 6.44/6.60 tff(15603,plain,
% 6.44/6.60 (mult(mult(mult(b, a), mult(b, mult(c, a))), a) = mult(mult(b, a), mult(a, mult(b, mult(c, a))))),
% 6.44/6.60 inference(unit_resolution,[status(thm)],[15005, 15602])).
% 6.44/6.60 tff(15604,plain,
% 6.44/6.60 (mult(mult(b, a), mult(a, mult(b, mult(c, a)))) = mult(mult(mult(b, a), mult(b, mult(c, a))), a)),
% 6.44/6.60 inference(symmetry,[status(thm)],[15603])).
% 6.44/6.60 tff(15605,plain,
% 6.44/6.60 (mult(mult(b, a), mult(mult(a, c), mult(b, a))) = mult(mult(b, a), mult(a, mult(b, mult(c, a))))),
% 6.44/6.60 inference(monotonicity,[status(thm)],[13448])).
% 6.44/6.60 tff(15606,plain,
% 6.44/6.60 (mult(mult(b, a), mult(mult(a, c), mult(b, a))) = mult(mult(a, mult(mult(c, a), b)), mult(a, b))),
% 6.44/6.60 inference(transitivity,[status(thm)],[15605, 15604, 13746, 15584, 15582, 15580, 11585, 15317])).
% 6.44/6.60 tff(15607,plain,
% 6.44/6.60 (mult(mult(mult(b, a), mult(a, c)), mult(b, a)) = mult(mult(mult(a, mult(mult(c, a), b)), b), a)),
% 6.44/6.60 inference(transitivity,[status(thm)],[15592, 15591])).
% 6.44/6.60 tff(15608,plain,
% 6.44/6.60 ((mult(mult(mult(b, a), mult(a, c)), mult(b, a)) = mult(mult(b, a), mult(mult(a, c), mult(b, a)))) <=> (mult(mult(mult(a, mult(mult(c, a), b)), b), a) = mult(mult(a, mult(mult(c, a), b)), mult(a, b)))),
% 6.44/6.60 inference(monotonicity,[status(thm)],[15607, 15606])).
% 6.44/6.60 tff(15609,plain,
% 6.44/6.60 ((mult(mult(mult(a, mult(mult(c, a), b)), b), a) = mult(mult(a, mult(mult(c, a), b)), mult(a, b))) <=> (mult(mult(mult(b, a), mult(a, c)), mult(b, a)) = mult(mult(b, a), mult(mult(a, c), mult(b, a))))),
% 6.44/6.60 inference(symmetry,[status(thm)],[15608])).
% 6.44/6.60 tff(15610,plain,
% 6.44/6.60 ((~(mult(mult(mult(a, mult(mult(c, a), b)), b), a) = mult(mult(a, mult(mult(c, a), b)), mult(a, b)))) <=> (~(mult(mult(mult(b, a), mult(a, c)), mult(b, a)) = mult(mult(b, a), mult(mult(a, c), mult(b, a)))))),
% 6.44/6.60 inference(monotonicity,[status(thm)],[15609])).
% 6.44/6.60 tff(15611,plain,
% 6.44/6.60 (~(mult(mult(mult(b, a), mult(a, c)), mult(b, a)) = mult(mult(b, a), mult(mult(a, c), mult(b, a))))),
% 6.44/6.60 inference(modus_ponens,[status(thm)],[15528, 15610])).
% 6.44/6.60 tff(15612,plain,
% 6.44/6.60 (mult(mult(mult(mult(b, a), mult(a, c)), b), a) = mult(mult(mult(b, a), mult(a, c)), mult(b, a))),
% 6.44/6.60 inference(unit_resolution,[status(thm)],[15359, 11131])).
% 6.44/6.60 tff(15613,plain,
% 6.44/6.60 (mult(mult(mult(b, a), mult(a, c)), mult(b, a)) = mult(mult(b, a), mult(mult(b, a), mult(a, c)))),
% 6.44/6.60 inference(unit_resolution,[status(thm)],[15443, 15612, 11131, 13299, 13816, 13692, 1736, 1362, 11024, 11017, 11965, 3450, 13577, 13404, 11025, 13754, 1, 2009, 342])).
% 6.44/6.60 tff(15614,plain,
% 6.44/6.60 (mult(mult(b, mult(mult(a, c), a)), mult(a, b)) = mult(b, mult(mult(mult(a, c), a), mult(a, b)))),
% 6.44/6.60 inference(unit_resolution,[status(thm)],[15578, 15554, 13754, 15613, 15612, 13577, 13404, 1736, 1362, 2009, 342, 10864, 13299, 13816, 13692, 11024, 1])).
% 6.44/6.60 tff(15615,plain,
% 6.44/6.60 (mult(a, mult(c, mult(mult(a, b), a))) = mult(mult(mult(mult(a, b), a), c), a)),
% 6.44/6.60 inference(transitivity,[status(thm)],[14781, 11958, 13816, 13492, 13692, 15042, 12009, 11015, 11017, 11097])).
% 6.44/6.60 tff(15616,plain,
% 6.44/6.60 (mult(b, mult(a, mult(c, mult(mult(a, b), a)))) = mult(b, mult(mult(mult(mult(a, b), a), c), a))),
% 6.44/6.60 inference(monotonicity,[status(thm)],[15615])).
% 6.44/6.60 tff(15617,plain,
% 6.44/6.60 (mult(b, mult(mult(mult(mult(a, b), a), c), a)) = mult(b, mult(a, mult(c, mult(mult(a, b), a))))),
% 6.44/6.60 inference(symmetry,[status(thm)],[15616])).
% 6.44/6.60 tff(15618,plain,
% 6.44/6.60 (mult(b, mult(mult(mult(a, b), a), mult(a, c))) = mult(b, mult(a, mult(c, mult(mult(a, b), a))))),
% 6.44/6.60 inference(transitivity,[status(thm)],[11547, 15617])).
% 6.44/6.60 tff(15619,plain,
% 6.44/6.60 (mult(mult(b, mult(mult(a, b), a)), mult(a, c)) = mult(mult(b, a), mult(c, mult(mult(a, b), a)))),
% 6.44/6.60 inference(transitivity,[status(thm)],[12042, 13227, 15561, 11315])).
% 6.44/6.60 tff(15620,plain,
% 6.44/6.60 ((mult(mult(b, mult(mult(a, b), a)), mult(a, c)) = mult(b, mult(mult(mult(a, b), a), mult(a, c)))) <=> (mult(mult(b, a), mult(c, mult(mult(a, b), a))) = mult(b, mult(a, mult(c, mult(mult(a, b), a)))))),
% 6.44/6.60 inference(monotonicity,[status(thm)],[15619, 15618])).
% 6.44/6.60 tff(15621,plain,
% 6.44/6.60 ((mult(mult(b, a), mult(c, mult(mult(a, b), a))) = mult(b, mult(a, mult(c, mult(mult(a, b), a))))) <=> (mult(mult(b, mult(mult(a, b), a)), mult(a, c)) = mult(b, mult(mult(mult(a, b), a), mult(a, c))))),
% 6.44/6.60 inference(symmetry,[status(thm)],[15620])).
% 6.44/6.60 tff(15622,plain,
% 6.44/6.60 ((mult(b, mult(a, mult(c, mult(mult(a, b), a)))) = mult(mult(b, a), mult(c, mult(mult(a, b), a)))) <=> (mult(mult(b, a), mult(c, mult(mult(a, b), a))) = mult(b, mult(a, mult(c, mult(mult(a, b), a)))))),
% 6.44/6.60 inference(commutativity,[status(thm)],[])).
% 6.44/6.60 tff(15623,plain,
% 6.44/6.60 (mult(mult(b, a), mult(mult(a, c), mult(b, a))) = mult(mult(b, a), mult(c, mult(mult(a, b), a)))),
% 6.44/6.60 inference(transitivity,[status(thm)],[15561, 11315])).
% 6.44/6.60 tff(15624,plain,
% 6.44/6.60 (mult(mult(mult(b, a), mult(a, c)), a) = mult(mult(mult(mult(a, b), a), c), a)),
% 6.44/6.60 inference(monotonicity,[status(thm)],[15423])).
% 6.44/6.60 tff(15625,plain,
% 6.44/6.60 (mult(mult(mult(mult(a, b), a), c), a) = mult(mult(mult(b, a), mult(a, c)), a)),
% 6.44/6.60 inference(symmetry,[status(thm)],[15624])).
% 6.44/6.60 tff(15626,plain,
% 6.44/6.60 (mult(b, mult(mult(mult(mult(a, b), a), c), a)) = mult(b, mult(mult(mult(b, a), mult(a, c)), a))),
% 6.44/6.60 inference(monotonicity,[status(thm)],[15625])).
% 6.44/6.61 tff(15627,plain,
% 6.44/6.61 (mult(b, mult(mult(mult(b, a), mult(a, c)), a)) = mult(b, mult(mult(mult(mult(a, b), a), c), a))),
% 6.44/6.61 inference(symmetry,[status(thm)],[15626])).
% 6.44/6.61 tff(15628,plain,
% 6.44/6.61 (mult(a, mult(mult(b, a), mult(a, c))) = mult(a, mult(mult(mult(a, b), a), c))),
% 6.44/6.61 inference(transitivity,[status(thm)],[13949, 13740, 15307, 11029, 10731, 13404])).
% 6.44/6.61 tff(15629,plain,
% 6.44/6.61 (mult(b, mult(a, mult(mult(b, a), mult(a, c)))) = mult(b, mult(a, mult(mult(mult(a, b), a), c)))),
% 6.44/6.61 inference(monotonicity,[status(thm)],[15628])).
% 6.44/6.61 tff(15630,plain,
% 6.44/6.61 (mult(mult(b, a), mult(mult(b, a), mult(a, c))) = mult(mult(b, a), mult(mult(mult(a, b), a), c))),
% 6.44/6.61 inference(symmetry,[status(thm)],[15547])).
% 6.44/6.61 tff(15631,plain,
% 6.44/6.61 ((mult(mult(b, a), mult(mult(b, a), mult(a, c))) = mult(b, mult(a, mult(mult(b, a), mult(a, c))))) <=> (mult(mult(b, a), mult(mult(mult(a, b), a), c)) = mult(b, mult(a, mult(mult(mult(a, b), a), c))))),
% 6.44/6.61 inference(monotonicity,[status(thm)],[15630, 15629])).
% 6.44/6.61 tff(15632,plain,
% 6.44/6.61 ((mult(mult(b, a), mult(mult(mult(a, b), a), c)) = mult(b, mult(a, mult(mult(mult(a, b), a), c)))) <=> (mult(mult(b, a), mult(mult(b, a), mult(a, c))) = mult(b, mult(a, mult(mult(b, a), mult(a, c)))))),
% 6.44/6.61 inference(symmetry,[status(thm)],[15631])).
% 6.44/6.61 tff(15633,plain,
% 6.44/6.61 (mult(b, mult(a, mult(mult(mult(a, b), a), c))) = mult(mult(a, mult(mult(c, a), b)), mult(a, b))),
% 6.44/6.61 inference(transitivity,[status(thm)],[13735, 13733, 11585, 15519])).
% 6.44/6.61 tff(15634,plain,
% 6.44/6.61 (mult(mult(mult(b, a), mult(a, c)), mult(b, a)) = mult(mult(mult(mult(b, a), mult(a, c)), b), a)),
% 6.44/6.61 inference(symmetry,[status(thm)],[15612])).
% 6.44/6.61 tff(15635,plain,
% 6.44/6.61 (mult(mult(b, a), mult(mult(mult(a, b), a), c)) = mult(mult(mult(a, mult(mult(c, a), b)), b), a)),
% 6.44/6.61 inference(transitivity,[status(thm)],[15547, 8736, 15634, 15389])).
% 6.44/6.61 tff(15636,plain,
% 6.44/6.61 ((mult(mult(b, a), mult(mult(mult(a, b), a), c)) = mult(b, mult(a, mult(mult(mult(a, b), a), c)))) <=> (mult(mult(mult(a, mult(mult(c, a), b)), b), a) = mult(mult(a, mult(mult(c, a), b)), mult(a, b)))),
% 6.44/6.61 inference(monotonicity,[status(thm)],[15635, 15633])).
% 6.44/6.61 tff(15637,plain,
% 6.44/6.61 ((mult(mult(mult(a, mult(mult(c, a), b)), b), a) = mult(mult(a, mult(mult(c, a), b)), mult(a, b))) <=> (mult(mult(b, a), mult(mult(mult(a, b), a), c)) = mult(b, mult(a, mult(mult(mult(a, b), a), c))))),
% 6.44/6.61 inference(symmetry,[status(thm)],[15636])).
% 6.44/6.61 tff(15638,plain,
% 6.44/6.61 ((mult(mult(mult(a, mult(mult(c, a), b)), b), a) = mult(mult(a, mult(mult(c, a), b)), mult(a, b))) <=> (mult(mult(b, a), mult(mult(b, a), mult(a, c))) = mult(b, mult(a, mult(mult(b, a), mult(a, c)))))),
% 6.44/6.61 inference(transitivity,[status(thm)],[15637, 15632])).
% 6.44/6.61 tff(15639,plain,
% 6.44/6.61 ((~(mult(mult(mult(a, mult(mult(c, a), b)), b), a) = mult(mult(a, mult(mult(c, a), b)), mult(a, b)))) <=> (~(mult(mult(b, a), mult(mult(b, a), mult(a, c))) = mult(b, mult(a, mult(mult(b, a), mult(a, c))))))),
% 6.44/6.61 inference(monotonicity,[status(thm)],[15638])).
% 6.44/6.61 tff(15640,plain,
% 6.44/6.61 (~(mult(mult(b, a), mult(mult(b, a), mult(a, c))) = mult(b, mult(a, mult(mult(b, a), mult(a, c)))))),
% 6.44/6.61 inference(modus_ponens,[status(thm)],[15554, 15639])).
% 6.44/6.61 tff(15641,plain,
% 6.44/6.61 ((~(mult(mult(b, a), mult(mult(b, a), mult(a, c))) = mult(b, mult(a, mult(mult(b, a), mult(a, c)))))) | (~(mult(mult(b, mult(mult(b, a), mult(a, c))), a) = mult(b, mult(mult(mult(b, a), mult(a, c)), a))))),
% 6.44/6.61 inference(unit_resolution,[status(thm)],[12705, 15640])).
% 6.44/6.61 tff(15642,plain,
% 6.44/6.61 (~((~(mult(mult(b, a), mult(mult(b, a), mult(a, c))) = mult(b, mult(mult(mult(b, a), mult(a, c)), a)))) | (~(mult(mult(b, mult(mult(b, a), mult(a, c))), a) = mult(b, mult(a, mult(mult(b, a), mult(a, c)))))))),
% 6.44/6.61 inference(unit_resolution,[status(thm)],[12724, 15641])).
% 6.44/6.61 tff(15643,plain,
% 6.44/6.61 (mult(mult(b, a), mult(mult(b, a), mult(a, c))) = mult(b, mult(mult(mult(b, a), mult(a, c)), a))),
% 6.44/6.61 inference(unit_resolution,[status(thm)],[12712, 15642])).
% 6.44/6.61 tff(15644,plain,
% 6.44/6.61 (mult(mult(mult(b, a), mult(a, c)), mult(b, a)) = mult(b, mult(a, mult(c, mult(mult(a, b), a))))),
% 6.44/6.61 inference(transitivity,[status(thm)],[8734, 15643, 15627, 15617])).
% 6.44/6.61 tff(15645,plain,
% 6.44/6.61 ((mult(mult(mult(b, a), mult(a, c)), mult(b, a)) = mult(mult(b, a), mult(mult(a, c), mult(b, a)))) <=> (mult(b, mult(a, mult(c, mult(mult(a, b), a)))) = mult(mult(b, a), mult(c, mult(mult(a, b), a))))),
% 6.44/6.61 inference(monotonicity,[status(thm)],[15644, 15623])).
% 6.44/6.61 tff(15646,plain,
% 6.44/6.61 ((mult(mult(mult(b, a), mult(a, c)), mult(b, a)) = mult(mult(b, a), mult(mult(a, c), mult(b, a)))) <=> (mult(mult(b, a), mult(c, mult(mult(a, b), a))) = mult(b, mult(a, mult(c, mult(mult(a, b), a)))))),
% 6.44/6.61 inference(transitivity,[status(thm)],[15645, 15622])).
% 6.44/6.61 tff(15647,plain,
% 6.44/6.61 ((mult(mult(mult(b, a), mult(a, c)), mult(b, a)) = mult(mult(b, a), mult(mult(a, c), mult(b, a)))) <=> (mult(mult(b, mult(mult(a, b), a)), mult(a, c)) = mult(b, mult(mult(mult(a, b), a), mult(a, c))))),
% 6.44/6.61 inference(transitivity,[status(thm)],[15646, 15621])).
% 6.44/6.61 tff(15648,plain,
% 6.44/6.61 ((~(mult(mult(mult(b, a), mult(a, c)), mult(b, a)) = mult(mult(b, a), mult(mult(a, c), mult(b, a))))) <=> (~(mult(mult(b, mult(mult(a, b), a)), mult(a, c)) = mult(b, mult(mult(mult(a, b), a), mult(a, c)))))),
% 6.44/6.61 inference(monotonicity,[status(thm)],[15647])).
% 6.44/6.61 tff(15649,plain,
% 6.44/6.61 (~(mult(mult(b, mult(mult(a, b), a)), mult(a, c)) = mult(b, mult(mult(mult(a, b), a), mult(a, c))))),
% 6.44/6.61 inference(modus_ponens,[status(thm)],[13224, 15648])).
% 6.44/6.61 tff(15650,plain,
% 6.44/6.61 ((~(mult(mult(b, mult(a, c)), mult(mult(a, b), a)) = mult(b, mult(mult(a, c), mult(mult(a, b), a))))) | (~(mult(mult(b, mult(mult(a, b), a)), mult(a, c)) = mult(b, mult(mult(mult(a, b), a), mult(a, c)))))),
% 6.44/6.61 inference(unit_resolution,[status(thm)],[11543, 15649])).
% 6.44/6.61 tff(15651,plain,
% 6.44/6.61 (mult(mult(b, a), mult(b, mult(mult(a, c), a))) = mult(mult(b, a), mult(mult(mult(a, b), a), c))),
% 6.44/6.61 inference(transitivity,[status(thm)],[12203, 15630])).
% 6.44/6.61 tff(15652,plain,
% 6.44/6.61 (mult(mult(mult(b, a), b), mult(mult(a, c), a)) = mult(b, mult(mult(mult(mult(a, b), a), c), a))),
% 6.44/6.61 inference(transitivity,[status(thm)],[11623, 12804, 11533])).
% 6.44/6.61 tff(15653,plain,
% 6.44/6.61 ((mult(mult(mult(b, a), b), mult(mult(a, c), a)) = mult(mult(b, a), mult(b, mult(mult(a, c), a)))) <=> (mult(b, mult(mult(mult(mult(a, b), a), c), a)) = mult(mult(b, a), mult(mult(mult(a, b), a), c)))),
% 6.44/6.61 inference(monotonicity,[status(thm)],[15652, 15651])).
% 6.44/6.61 tff(15654,plain,
% 6.44/6.61 ((mult(mult(mult(b, a), b), mult(mult(a, c), a)) = mult(mult(b, a), mult(b, mult(mult(a, c), a)))) <=> (mult(mult(b, a), mult(mult(mult(a, b), a), c)) = mult(b, mult(mult(mult(mult(a, b), a), c), a)))),
% 6.44/6.61 inference(transitivity,[status(thm)],[15653, 13198])).
% 6.44/6.61 tff(15655,plain,
% 6.44/6.61 ((mult(mult(b, a), mult(mult(mult(a, b), a), c)) = mult(b, mult(mult(mult(mult(a, b), a), c), a))) <=> (mult(mult(mult(b, a), b), mult(mult(a, c), a)) = mult(mult(b, a), mult(b, mult(mult(a, c), a))))),
% 6.44/6.61 inference(symmetry,[status(thm)],[15654])).
% 6.44/6.61 tff(15656,plain,
% 6.44/6.61 ((mult(mult(b, a), mult(mult(b, a), mult(a, c))) = mult(b, mult(mult(mult(b, a), mult(a, c)), a))) <=> (mult(mult(b, a), mult(mult(mult(a, b), a), c)) = mult(b, mult(mult(mult(mult(a, b), a), c), a)))),
% 6.44/6.61 inference(monotonicity,[status(thm)],[15630, 15627])).
% 6.44/6.61 tff(15657,plain,
% 6.44/6.61 ((mult(mult(b, a), mult(mult(b, a), mult(a, c))) = mult(b, mult(mult(mult(b, a), mult(a, c)), a))) <=> (mult(mult(mult(b, a), b), mult(mult(a, c), a)) = mult(mult(b, a), mult(b, mult(mult(a, c), a))))),
% 6.44/6.61 inference(transitivity,[status(thm)],[15656, 15655])).
% 6.44/6.61 tff(15658,plain,
% 6.44/6.61 (mult(mult(mult(b, a), b), mult(mult(a, c), a)) = mult(mult(b, a), mult(b, mult(mult(a, c), a)))),
% 6.44/6.61 inference(modus_ponens,[status(thm)],[15643, 15657])).
% 6.44/6.61 tff(15659,plain,
% 6.44/6.61 (~(mult(mult(b, mult(a, c)), mult(mult(a, b), a)) = mult(b, mult(mult(mult(a, b), a), mult(a, c))))),
% 6.44/6.61 inference(unit_resolution,[status(thm)],[13210, 15658, 3450, 11131, 8734, 12804, 11026, 11017])).
% 6.44/6.61 tff(15660,plain,
% 6.44/6.61 ((~(mult(mult(b, mult(a, c)), mult(mult(a, b), a)) = mult(b, mult(mult(mult(a, b), a), mult(a, c))))) | (~(mult(mult(b, mult(mult(a, b), a)), mult(a, c)) = mult(b, mult(mult(a, c), mult(mult(a, b), a)))))),
% 6.44/6.61 inference(unit_resolution,[status(thm)],[12060, 15659])).
% 6.44/6.61 tff(15661,plain,
% 6.44/6.61 ($false),
% 6.44/6.61 inference(unit_resolution,[status(thm)],[11195, 15660, 15650])).
% 6.44/6.61 tff(15662,plain,((~(mult(mult(b, mult(a, b)), mult(mult(a, c), a)) = mult(b, mult(mult(a, b), mult(mult(a, c), a))))) | (mult(mult(b, c), a) = mult(b, mult(c, a))) | (~(mult(mult(mult(b, mult(c, a)), a), mult(b, a)) = mult(mult(b, mult(c, a)), mult(a, mult(b, a))))) | (~(mult(mult(mult(b, a), mult(a, c)), mult(b, a)) = mult(mult(b, a), mult(mult(b, a), mult(a, c))))) | (~(mult(mult(b, mult(a, b)), a) = mult(b, mult(mult(a, b), a)))) | (~(mult(mult(mult(a, b), a), mult(a, c)) = mult(mult(a, b), mult(mult(a, c), a)))) | (mult(mult(mult(b, a), mult(a, c)), mult(b, a)) = mult(mult(b, a), mult(mult(a, c), mult(b, a)))) | (~(mult(mult(a, mult(mult(a, b), a)), c) = mult(a, mult(c, mult(mult(a, b), a))))) | (~(mult(mult(mult(a, a), mult(b, a)), c) = mult(mult(a, a), mult(mult(b, a), c)))) | (~(mult(mult(a, a), mult(b, mult(c, a))) = mult(a, mult(a, mult(b, mult(c, a)))))) | (~(mult(mult(a, mult(b, a)), mult(a, c)) = mult(a, mult(mult(a, c), mult(b, a))))) | (~(mult(mult(a, mult(c, a)), b) = mult(a, mult(b, mult(c, a))))) | (~(mult(mult(mult(a, c), a), b) = mult(mult(a, c), mult(b, a)))) | (~(mult(mult(a, a), mult(b, a)) = mult(a, mult(a, mult(b, a))))) | (~(mult(mult(mult(b, a), b), a) = mult(mult(b, a), mult(b, a)))) | (~(mult(mult(a, mult(b, mult(c, a))), a) = mult(a, mult(mult(b, mult(c, a)), a)))) | (~(mult(mult(a, c), mult(mult(a, b), a)) = mult(a, mult(mult(mult(a, b), a), c)))) | (mult(mult(mult(a, mult(mult(c, a), b)), b), a) = mult(mult(a, mult(mult(c, a), b)), mult(a, b))) | (~(mult(mult(b, mult(mult(a, c), a)), mult(a, b)) = mult(b, mult(mult(mult(a, c), a), mult(a, b))))) | (~(mult(mult(mult(a, c), a), mult(a, b)) = mult(mult(a, c), mult(mult(a, b), a)))) | (~(mult(mult(a, mult(b, a)), c) = mult(a, mult(c, mult(b, a))))) | (~(mult(mult(c, a), b) = mult(c, mult(b, a))))), inference(lemma,lemma(discharge,[]))).
% 6.44/6.61 tff(15663,plain,
% 6.44/6.61 (~(mult(mult(b, mult(a, b)), mult(mult(a, c), a)) = mult(b, mult(mult(a, b), mult(mult(a, c), a))))),
% 6.44/6.61 inference(unit_resolution,[status(thm)],[15662, 15554, 11131, 15613, 11026, 11017, 13224, 13299, 13816, 13692, 11965, 1736, 1362, 11024, 11025, 13577, 13404, 3450, 15614, 10864, 2009, 342])).
% 6.44/6.61 tff(15664,plain,
% 6.44/6.61 ((~(mult(mult(b, mult(a, b)), mult(mult(a, c), a)) = mult(b, mult(mult(a, b), mult(mult(a, c), a))))) | (~(mult(mult(b, mult(mult(a, c), a)), mult(a, b)) = mult(b, mult(mult(mult(a, c), a), mult(a, b)))))),
% 6.44/6.61 inference(unit_resolution,[status(thm)],[12775, 15663])).
% 6.44/6.61 tff(15665,plain,
% 6.44/6.61 (~((~(mult(mult(b, mult(a, b)), mult(mult(a, c), a)) = mult(b, mult(mult(mult(a, c), a), mult(a, b))))) | (~(mult(mult(b, mult(mult(a, c), a)), mult(a, b)) = mult(b, mult(mult(a, b), mult(mult(a, c), a))))))),
% 6.44/6.61 inference(unit_resolution,[status(thm)],[11528, 15664])).
% 6.44/6.61 tff(15666,plain,
% 6.44/6.61 (mult(mult(b, mult(mult(a, c), a)), mult(a, b)) = mult(b, mult(mult(a, b), mult(mult(a, c), a)))),
% 6.44/6.61 inference(unit_resolution,[status(thm)],[11530, 15665])).
% 6.44/6.61 tff(15667,plain,
% 6.44/6.61 (mult(b, mult(mult(a, b), mult(mult(a, c), a))) = mult(mult(b, mult(mult(a, c), a)), mult(a, b))),
% 6.44/6.61 inference(symmetry,[status(thm)],[15666])).
% 6.44/6.61 tff(15668,plain,
% 6.44/6.61 (mult(b, mult(mult(a, b), mult(mult(a, c), a))) = mult(b, mult(mult(mult(a, c), a), mult(a, b)))),
% 6.44/6.61 inference(transitivity,[status(thm)],[15667, 15614])).
% 6.44/6.61 tff(15669,plain,
% 6.44/6.61 ((mult(mult(b, mult(a, b)), mult(mult(a, c), a)) = mult(b, mult(mult(a, b), mult(mult(a, c), a)))) <=> (mult(mult(b, mult(a, b)), mult(mult(a, c), a)) = mult(b, mult(mult(mult(a, c), a), mult(a, b))))),
% 6.44/6.61 inference(monotonicity,[status(thm)],[15668])).
% 6.44/6.61 tff(15670,plain,
% 6.44/6.61 ((mult(mult(b, mult(a, b)), mult(mult(a, c), a)) = mult(b, mult(mult(mult(a, c), a), mult(a, b)))) <=> (mult(mult(b, mult(a, b)), mult(mult(a, c), a)) = mult(b, mult(mult(a, b), mult(mult(a, c), a))))),
% 6.44/6.61 inference(symmetry,[status(thm)],[15669])).
% 6.44/6.61 tff(15671,plain,
% 6.44/6.61 (mult(mult(b, mult(a, b)), mult(mult(a, c), a)) = mult(b, mult(mult(mult(a, c), a), mult(a, b)))),
% 6.44/6.61 inference(unit_resolution,[status(thm)],[11618, 15665])).
% 6.44/6.61 tff(15672,plain,
% 6.44/6.61 (mult(mult(b, mult(a, b)), mult(mult(a, c), a)) = mult(b, mult(mult(a, b), mult(mult(a, c), a)))),
% 6.44/6.61 inference(modus_ponens,[status(thm)],[15671, 15670])).
% 6.44/6.61 tff(15673,plain,
% 6.44/6.61 ($false),
% 6.44/6.61 inference(unit_resolution,[status(thm)],[15663, 15672])).
% 6.44/6.61 tff(15674,plain,((mult(mult(mult(a, mult(mult(c, a), b)), b), a) = mult(mult(a, mult(mult(c, a), b)), mult(a, b))) | (~(mult(mult(mult(b, mult(c, a)), a), mult(b, a)) = mult(mult(b, mult(c, a)), mult(a, mult(b, a))))) | (~(mult(mult(b, mult(a, b)), a) = mult(b, mult(mult(a, b), a)))) | (~(mult(mult(mult(a, b), a), mult(a, c)) = mult(mult(a, b), mult(mult(a, c), a)))) | (mult(mult(mult(b, a), mult(a, c)), mult(b, a)) = mult(mult(b, a), mult(mult(a, c), mult(b, a)))) | (~(mult(mult(a, mult(mult(a, b), a)), c) = mult(a, mult(c, mult(mult(a, b), a))))) | (~(mult(mult(mult(a, a), mult(b, a)), c) = mult(mult(a, a), mult(mult(b, a), c)))) | (~(mult(mult(a, a), mult(b, mult(c, a))) = mult(a, mult(a, mult(b, mult(c, a)))))) | (~(mult(mult(a, mult(b, a)), mult(a, c)) = mult(a, mult(mult(a, c), mult(b, a))))) | (~(mult(mult(a, mult(c, a)), b) = mult(a, mult(b, mult(c, a))))) | (~(mult(mult(mult(a, c), a), b) = mult(mult(a, c), mult(b, a)))) | (~(mult(mult(a, a), mult(b, a)) = mult(a, mult(a, mult(b, a))))) | (~(mult(mult(mult(b, a), b), a) = mult(mult(b, a), mult(b, a)))) | (~(mult(mult(a, mult(b, mult(c, a))), a) = mult(a, mult(mult(b, mult(c, a)), a)))) | (~(mult(mult(a, c), mult(mult(a, b), a)) = mult(a, mult(mult(mult(a, b), a), c)))) | (mult(mult(b, c), a) = mult(b, mult(c, a))) | (~(mult(mult(mult(a, c), a), mult(a, b)) = mult(mult(a, c), mult(mult(a, b), a)))) | (~(mult(mult(a, mult(b, a)), c) = mult(a, mult(c, mult(b, a))))) | (~(mult(mult(c, a), b) = mult(c, mult(b, a)))) | (~(mult(mult(a, b), mult(b, mult(c, a))) = mult(a, mult(mult(b, mult(c, a)), b)))) | (mult(a, b) = mult(b, a))), inference(lemma,lemma(discharge,[]))).
% 6.44/6.61 tff(15675,plain,
% 6.44/6.61 (mult(mult(mult(b, a), mult(a, c)), mult(b, a)) = mult(mult(b, a), mult(mult(a, c), mult(b, a)))),
% 6.44/6.61 inference(unit_resolution,[status(thm)],[15674, 15528, 11026, 13459, 14939, 15346, 15345, 15322, 15335, 1736, 1362, 11024, 11025, 13577, 15311, 13538, 6854, 218, 342, 15367, 1])).
% 6.44/6.61 tff(15676,plain,
% 6.44/6.61 ($false),
% 6.44/6.61 inference(unit_resolution,[status(thm)],[15675, 15611])).
% 6.44/6.61 tff(15677,plain,((mult(mult(a, c), mult(b, a)) = mult(a, mult(c, mult(b, a)))) | (~(mult(mult(a, mult(b, mult(c, a))), a) = mult(a, mult(mult(b, mult(c, a)), a)))) | (~(mult(mult(c, a), b) = mult(c, mult(b, a)))) | (~(mult(mult(a, mult(c, a)), b) = mult(a, mult(b, mult(c, a))))) | (~(mult(mult(mult(a, c), a), b) = mult(mult(a, c), mult(b, a)))) | (~(mult(mult(b, mult(a, b)), a) = mult(b, mult(mult(a, b), a)))) | (~(mult(mult(a, a), mult(b, a)) = mult(a, mult(a, mult(b, a))))) | (~(mult(mult(mult(b, a), b), a) = mult(mult(b, a), mult(b, a)))) | (mult(a, b) = mult(b, a)) | (mult(mult(mult(a, c), b), a) = mult(mult(a, c), mult(b, a))) | (~(mult(mult(mult(a, b), c), a) = mult(mult(a, b), mult(a, c)))) | (~(mult(mult(c, a), mult(a, b)) = mult(c, mult(mult(a, b), a)))) | (~(mult(mult(mult(mult(a, a), b), a), c) = mult(mult(mult(a, a), b), mult(c, a)))) | (~(mult(mult(mult(b, a), a), b) = mult(mult(b, a), mult(a, b)))) | (~(mult(mult(mult(mult(c, a), b), a), mult(b, a)) = mult(mult(mult(c, a), b), mult(mult(b, a), a)))) | (mult(mult(c, mult(b, a)), a) = mult(c, mult(mult(b, a), a)))), inference(lemma,lemma(discharge,[]))).
% 6.44/6.61 tff(15678,plain,
% 6.44/6.61 (mult(mult(a, c), mult(b, a)) = mult(a, mult(c, mult(b, a)))),
% 6.44/6.61 inference(unit_resolution,[status(thm)],[15677, 15306, 3071, 13259, 9012, 10688, 10404, 10673, 1, 13267, 10408, 9240, 13363, 4649, 4545, 4543])).
% 6.44/6.61 tff(15679,plain,
% 6.44/6.61 (mult(a, mult(b, mult(c, a))) = mult(mult(a, mult(c, a)), b)),
% 6.44/6.61 inference(symmetry,[status(thm)],[13259])).
% 6.44/6.61 tff(15680,plain,
% 6.44/6.61 (mult(a, mult(b, mult(c, a))) = mult(a, mult(mult(c, a), b))),
% 6.44/6.61 inference(transitivity,[status(thm)],[15679, 6925, 9012, 15678, 4368])).
% 6.44/6.61 tff(15681,plain,
% 6.44/6.61 (ld(a, mult(a, mult(b, mult(c, a)))) = ld(a, mult(a, mult(mult(c, a), b)))),
% 6.44/6.61 inference(monotonicity,[status(thm)],[15680])).
% 6.44/6.61 tff(15682,plain,
% 6.44/6.62 (mult(b, mult(c, a)) = mult(mult(c, a), b)),
% 6.44/6.62 inference(transitivity,[status(thm)],[2419, 15681, 209])).
% 6.44/6.62 tff(15683,plain,
% 6.44/6.62 (mult(mult(b, mult(c, a)), a) = mult(mult(mult(c, a), b), a)),
% 6.44/6.62 inference(monotonicity,[status(thm)],[15682])).
% 6.44/6.62 tff(15684,plain,
% 6.44/6.62 (mult(mult(b, a), mult(a, c)) = mult(mult(mult(c, a), b), a)),
% 6.44/6.62 inference(transitivity,[status(thm)],[4650, 4656, 15683])).
% 6.44/6.62 tff(15685,plain,
% 6.44/6.62 (mult(mult(mult(b, a), mult(a, c)), mult(a, b)) = mult(mult(mult(mult(c, a), b), a), mult(a, b))),
% 6.44/6.62 inference(monotonicity,[status(thm)],[15684])).
% 6.44/6.62 tff(15686,plain,
% 6.44/6.62 ((mult(mult(a, mult(c, a)), b) = mult(a, mult(mult(c, a), b))) <=> (mult(a, mult(b, mult(c, a))) = mult(a, mult(mult(c, a), b)))),
% 6.44/6.62 inference(monotonicity,[status(thm)],[13259])).
% 6.44/6.62 tff(15687,plain,
% 6.44/6.62 ((mult(a, mult(b, mult(c, a))) = mult(a, mult(mult(c, a), b))) <=> (mult(mult(a, mult(c, a)), b) = mult(a, mult(mult(c, a), b)))),
% 6.44/6.62 inference(symmetry,[status(thm)],[15686])).
% 6.44/6.62 tff(15688,plain,
% 6.44/6.62 (mult(mult(a, c), mult(b, a)) = mult(mult(mult(a, c), a), b)),
% 6.44/6.62 inference(symmetry,[status(thm)],[9012])).
% 6.44/6.62 tff(15689,plain,
% 6.44/6.62 (mult(mult(a, c), mult(b, a)) = mult(a, mult(b, mult(c, a)))),
% 6.44/6.62 inference(transitivity,[status(thm)],[15688, 13395, 13259])).
% 6.44/6.62 tff(15690,plain,
% 6.44/6.62 ((mult(mult(a, c), mult(b, a)) = mult(a, mult(c, mult(b, a)))) <=> (mult(a, mult(b, mult(c, a))) = mult(a, mult(mult(c, a), b)))),
% 6.44/6.62 inference(monotonicity,[status(thm)],[15689, 4368])).
% 6.44/6.62 tff(15691,plain,
% 6.44/6.62 ((mult(mult(a, c), mult(b, a)) = mult(a, mult(c, mult(b, a)))) <=> (mult(mult(a, mult(c, a)), b) = mult(a, mult(mult(c, a), b)))),
% 6.44/6.62 inference(transitivity,[status(thm)],[15690, 15687])).
% 6.44/6.62 tff(15692,plain,
% 6.44/6.62 (mult(mult(a, mult(c, a)), b) = mult(a, mult(mult(c, a), b))),
% 6.44/6.62 inference(modus_ponens,[status(thm)],[15678, 15691])).
% 6.44/6.62 tff(15693,plain,
% 6.44/6.62 (mult(mult(a, mult(b, a)), c) = mult(a, mult(mult(b, a), c))),
% 6.44/6.62 inference(unit_resolution,[status(thm)],[1405, 15692, 9012, 3071, 11731])).
% 6.44/6.62 tff(15694,plain,
% 6.44/6.62 (mult(mult(mult(a, b), a), c) = mult(mult(a, c), mult(b, a))),
% 6.44/6.62 inference(transitivity,[status(thm)],[15154, 1435, 4878, 1737, 6925, 1362])).
% 6.44/6.62 tff(15695,plain,
% 6.44/6.62 (mult(mult(mult(mult(a, b), a), c), a) = mult(mult(mult(a, c), mult(b, a)), a)),
% 6.44/6.62 inference(monotonicity,[status(thm)],[15694])).
% 6.44/6.62 tff(15696,plain,
% 6.44/6.62 (mult(b, mult(mult(mult(mult(a, b), a), c), a)) = mult(b, mult(mult(mult(a, c), mult(b, a)), a))),
% 6.44/6.62 inference(monotonicity,[status(thm)],[15695])).
% 6.44/6.62 tff(15697,plain,
% 6.44/6.62 (mult(b, mult(mult(mult(a, c), mult(b, a)), a)) = mult(b, mult(mult(mult(mult(a, b), a), c), a))),
% 6.44/6.62 inference(symmetry,[status(thm)],[15696])).
% 6.44/6.62 tff(15698,plain,
% 6.44/6.62 (mult(b, mult(mult(mult(a, c), a), mult(a, b))) = mult(b, mult(mult(a, b), mult(mult(a, c), a)))),
% 6.44/6.62 inference(transitivity,[status(thm)],[14354, 15697, 11534])).
% 6.44/6.62 tff(15699,plain,
% 6.44/6.62 ((mult(mult(b, mult(mult(a, c), a)), mult(a, b)) = mult(b, mult(mult(mult(a, c), a), mult(a, b)))) <=> (mult(mult(b, mult(mult(a, c), a)), mult(a, b)) = mult(b, mult(mult(a, b), mult(mult(a, c), a))))),
% 6.44/6.62 inference(monotonicity,[status(thm)],[15698])).
% 6.44/6.62 tff(15700,plain,
% 6.44/6.62 ((mult(mult(b, mult(mult(a, c), a)), mult(a, b)) = mult(b, mult(mult(a, b), mult(mult(a, c), a)))) <=> (mult(mult(b, mult(mult(a, c), a)), mult(a, b)) = mult(b, mult(mult(mult(a, c), a), mult(a, b))))),
% 6.44/6.62 inference(symmetry,[status(thm)],[15699])).
% 6.44/6.62 tff(15701,plain,
% 6.44/6.62 (mult(mult(b, mult(mult(a, c), a)), mult(a, b)) = mult(b, mult(mult(mult(a, c), a), mult(a, b)))),
% 6.44/6.62 inference(modus_ponens,[status(thm)],[12051, 15700])).
% 6.44/6.62 tff(15702,plain,
% 6.44/6.62 ($false),
% 6.44/6.62 inference(unit_resolution,[status(thm)],[12048, 15701])).
% 6.44/6.62 tff(15703,plain,((mult(mult(b, mult(mult(a, c), a)), mult(a, b)) = mult(b, mult(mult(mult(a, c), a), mult(a, b)))) | (~(mult(mult(a, mult(b, a)), c) = mult(a, mult(mult(b, a), c)))) | (~(mult(mult(a, mult(c, a)), b) = mult(a, mult(b, mult(c, a))))) | (~(mult(mult(mult(a, c), a), b) = mult(mult(a, c), mult(b, a)))) | (~(mult(mult(mult(a, c), a), mult(a, b)) = mult(mult(a, c), mult(mult(a, b), a))))), inference(lemma,lemma(discharge,[]))).
% 6.44/6.62 tff(15704,plain,
% 6.44/6.62 (mult(mult(b, mult(mult(a, c), a)), mult(a, b)) = mult(b, mult(mult(mult(a, c), a), mult(a, b)))),
% 6.44/6.62 inference(unit_resolution,[status(thm)],[15703, 15693, 13259, 9012, 13270])).
% 6.44/6.62 tff(15705,plain,
% 6.44/6.62 (mult(b, mult(mult(mult(a, c), a), mult(a, b))) = mult(mult(b, mult(mult(a, c), a)), mult(a, b))),
% 6.44/6.62 inference(symmetry,[status(thm)],[15704])).
% 6.44/6.62 tff(15706,plain,
% 6.44/6.62 (mult(mult(a, c), mult(mult(a, b), a)) = mult(mult(mult(a, c), a), mult(a, b))),
% 6.44/6.62 inference(symmetry,[status(thm)],[13270])).
% 6.44/6.62 tff(15707,plain,
% 6.44/6.62 (mult(mult(mult(a, c), mult(b, a)), a) = mult(mult(mult(a, c), a), mult(a, b))),
% 6.44/6.62 inference(transitivity,[status(thm)],[13114, 12406, 15706])).
% 6.44/6.62 tff(15708,plain,
% 6.44/6.62 (mult(b, mult(mult(mult(a, c), mult(b, a)), a)) = mult(b, mult(mult(mult(a, c), a), mult(a, b)))),
% 6.44/6.62 inference(monotonicity,[status(thm)],[15707])).
% 6.44/6.62 tff(15709,plain,
% 6.44/6.62 (mult(a, mult(c, mult(b, a))) = mult(mult(a, c), mult(b, a))),
% 6.44/6.62 inference(symmetry,[status(thm)],[15678])).
% 6.44/6.62 tff(15710,plain,
% 6.44/6.62 (mult(a, mult(mult(c, a), b)) = mult(mult(a, c), mult(b, a))),
% 6.46/6.62 inference(transitivity,[status(thm)],[4367, 15709])).
% 6.46/6.62 tff(15711,plain,
% 6.46/6.62 (mult(mult(a, mult(mult(c, a), b)), a) = mult(mult(mult(a, c), mult(b, a)), a)),
% 6.46/6.62 inference(monotonicity,[status(thm)],[15710])).
% 6.46/6.62 tff(15712,plain,
% 6.46/6.62 (mult(b, mult(mult(a, mult(mult(c, a), b)), a)) = mult(b, mult(mult(mult(a, c), mult(b, a)), a))),
% 6.46/6.62 inference(monotonicity,[status(thm)],[15711])).
% 6.46/6.62 tff(15713,plain,
% 6.46/6.62 (mult(mult(mult(b, a), mult(mult(c, a), b)), a) = mult(mult(mult(mult(c, a), b), mult(b, a)), a)),
% 6.46/6.62 inference(transitivity,[status(thm)],[11157, 15712, 15708, 15705, 11585, 15685, 4317, 4345, 4366])).
% 6.46/6.62 tff(15714,plain,
% 6.46/6.62 (rd(mult(mult(mult(b, a), mult(mult(c, a), b)), a), a) = rd(mult(mult(mult(mult(c, a), b), mult(b, a)), a), a)),
% 6.46/6.62 inference(monotonicity,[status(thm)],[15713])).
% 6.46/6.62 tff(15715,plain,
% 6.46/6.62 (mult(mult(b, a), mult(b, mult(c, a))) = mult(mult(b, a), mult(mult(c, a), b))),
% 6.46/6.62 inference(monotonicity,[status(thm)],[15230])).
% 6.46/6.62 tff(15716,plain,
% 6.46/6.62 ((mult(mult(mult(b, a), mult(c, a)), b) = mult(mult(b, a), mult(b, mult(c, a)))) <=> (mult(mult(mult(b, a), mult(c, a)), b) = mult(mult(b, a), mult(mult(c, a), b)))),
% 6.46/6.62 inference(monotonicity,[status(thm)],[15715])).
% 6.46/6.62 tff(15717,assumption,(~(mult(mult(mult(b, a), mult(c, a)), b) = mult(mult(b, a), mult(mult(c, a), b)))), introduced(assumption)).
% 6.46/6.62 tff(15718,plain,
% 6.46/6.62 ((~(mult(mult(mult(b, a), b), mult(c, a)) = mult(mult(b, a), mult(b, mult(c, a))))) | (~(mult(mult(mult(b, a), mult(c, a)), b) = mult(mult(b, a), mult(mult(c, a), b))))),
% 6.46/6.62 inference(unit_resolution,[status(thm)],[14301, 15717])).
% 6.46/6.62 tff(15719,plain,
% 6.46/6.62 (~((~(mult(mult(mult(b, a), b), mult(c, a)) = mult(mult(b, a), mult(mult(c, a), b)))) | (~(mult(mult(mult(b, a), mult(c, a)), b) = mult(mult(b, a), mult(b, mult(c, a))))))),
% 6.46/6.62 inference(unit_resolution,[status(thm)],[14313, 15718])).
% 6.46/6.62 tff(15720,plain,
% 6.46/6.62 (mult(mult(mult(b, a), mult(c, a)), b) = mult(mult(b, a), mult(b, mult(c, a)))),
% 6.46/6.62 inference(unit_resolution,[status(thm)],[14315, 15719])).
% 6.46/6.62 tff(15721,plain,
% 6.46/6.62 (mult(mult(mult(b, a), mult(c, a)), b) = mult(mult(b, a), mult(mult(c, a), b))),
% 6.46/6.62 inference(modus_ponens,[status(thm)],[15720, 15716])).
% 6.46/6.62 tff(15722,plain,
% 6.46/6.62 ($false),
% 6.46/6.62 inference(unit_resolution,[status(thm)],[15717, 15721])).
% 6.46/6.62 tff(15723,plain,((mult(mult(mult(b, a), mult(c, a)), b) = mult(mult(b, a), mult(mult(c, a), b))) | (~(mult(mult(a, mult(c, a)), b) = mult(a, mult(b, mult(c, a))))) | (~(mult(mult(mult(a, c), a), b) = mult(mult(a, c), mult(b, a)))) | (~(mult(mult(a, c), mult(b, a)) = mult(a, mult(c, mult(b, a))))) | (~(mult(mult(c, a), b) = mult(c, mult(b, a))))), inference(lemma,lemma(discharge,[]))).
% 6.46/6.62 tff(15724,plain,
% 6.46/6.62 (mult(mult(mult(b, a), mult(c, a)), b) = mult(mult(b, a), mult(mult(c, a), b))),
% 6.46/6.62 inference(unit_resolution,[status(thm)],[15723, 13259, 9012, 15678, 3071])).
% 6.46/6.62 tff(15725,plain,
% 6.46/6.62 (mult(mult(mult(b, a), mult(c, a)), b) = mult(mult(c, mult(mult(a, b), a)), b)),
% 6.46/6.62 inference(transitivity,[status(thm)],[15724, 12592, 15714, 4365, 4208])).
% 6.46/6.62 tff(15726,plain,
% 6.46/6.62 (rd(mult(mult(mult(b, a), mult(c, a)), b), b) = rd(mult(mult(c, mult(mult(a, b), a)), b), b)),
% 6.46/6.62 inference(monotonicity,[status(thm)],[15725])).
% 6.46/6.62 tff(15727,plain,
% 6.46/6.62 (rd(mult(mult(c, mult(mult(a, b), a)), b), b) = rd(mult(mult(mult(b, a), mult(c, a)), b), b)),
% 6.46/6.62 inference(symmetry,[status(thm)],[15726])).
% 6.46/6.62 tff(15728,plain,
% 6.46/6.62 (mult(mult(mult(b, a), c), a) = mult(mult(b, a), mult(c, a))),
% 6.46/6.62 inference(transitivity,[status(thm)],[4656, 15683, 2807, 13712, 15727, 4206])).
% 6.46/6.62 tff(15729,plain,
% 6.46/6.62 (~(mult(mult(b, c), a) = mult(b, mult(c, a)))),
% 6.46/6.62 inference(unit_resolution,[status(thm)],[13537, 10436])).
% 6.46/6.62 tff(15730,plain,
% 6.46/6.62 (~(mult(mult(mult(b, a), c), a) = mult(mult(b, a), mult(c, a)))),
% 6.46/6.62 inference(unit_resolution,[status(thm)],[3516, 15729])).
% 6.46/6.62 tff(15731,plain,
% 6.46/6.62 ($false),
% 6.46/6.62 inference(unit_resolution,[status(thm)],[15730, 15728])).
% 6.46/6.62 tff(15732,plain,((mult(mult(c, a), b) = mult(c, mult(a, b))) | (mult(a, b) = mult(b, a))), inference(lemma,lemma(discharge,[]))).
% 6.46/6.62 tff(15733,plain,
% 6.46/6.62 (mult(mult(c, a), b) = mult(c, mult(a, b))),
% 6.46/6.62 inference(unit_resolution,[status(thm)],[15732, 1])).
% 6.46/6.62 tff(15734,plain,
% 6.46/6.62 ((mult(mult(a, mult(b, a)), c) = mult(a, mult(mult(b, a), c))) <=> (mult(mult(a, b), mult(c, a)) = mult(a, mult(b, mult(c, a))))),
% 6.46/6.62 inference(symmetry,[status(thm)],[9225])).
% 6.46/6.62 tff(15735,plain,
% 6.46/6.62 (mult(a, b) = mult(b, a)),
% 6.46/6.62 inference(unit_resolution,[status(thm)],[8995, 1994])).
% 6.46/6.62 tff(15736,plain,
% 6.46/6.62 (mult(mult(a, b), mult(a, c)) = mult(mult(b, a), mult(a, c))),
% 6.46/6.62 inference(monotonicity,[status(thm)],[15735])).
% 6.46/6.62 tff(15737,plain,
% 6.46/6.62 (mult(mult(b, a), mult(a, c)) = mult(mult(a, b), mult(a, c))),
% 6.46/6.62 inference(symmetry,[status(thm)],[15736])).
% 6.46/6.62 tff(15738,plain,
% 6.46/6.62 (mult(mult(a, b), c) = mult(mult(b, a), c)),
% 6.46/6.62 inference(monotonicity,[status(thm)],[15735])).
% 6.46/6.62 tff(15739,plain,
% 6.46/6.62 (mult(mult(a, b), c) = mult(b, mult(c, a))),
% 6.46/6.62 inference(transitivity,[status(thm)],[15738, 3427])).
% 6.46/6.62 tff(15740,plain,
% 6.46/6.62 (mult(mult(mult(a, b), c), a) = mult(mult(b, mult(c, a)), a)),
% 6.46/6.62 inference(monotonicity,[status(thm)],[15739])).
% 6.46/6.62 tff(15741,plain,
% 6.46/6.62 (mult(mult(mult(a, b), c), a) = mult(mult(a, b), mult(a, c))),
% 6.46/6.62 inference(transitivity,[status(thm)],[15740, 3532, 3530, 15737])).
% 6.46/6.62 tff(15742,plain,
% 6.46/6.62 (mult(mult(a, a), mult(b, c)) = mult(a, mult(a, mult(b, c)))),
% 6.46/6.62 inference(unit_resolution,[status(thm)],[10434, 15741])).
% 6.46/6.62 tff(15743,plain,
% 6.46/6.62 (mult(c, mult(a, b)) = mult(c, mult(b, a))),
% 6.46/6.62 inference(monotonicity,[status(thm)],[15735])).
% 6.46/6.62 tff(15744,plain,
% 6.46/6.62 ((mult(mult(c, a), b) = mult(c, mult(a, b))) <=> (mult(mult(c, a), b) = mult(c, mult(b, a)))),
% 6.46/6.62 inference(monotonicity,[status(thm)],[15743])).
% 6.46/6.62 tff(15745,plain,
% 6.46/6.62 (mult(c, mult(a, b)) = mult(c, mult(b, a))),
% 6.46/6.62 inference(monotonicity,[status(thm)],[3994])).
% 6.46/6.62 tff(15746,plain,
% 6.46/6.62 ((mult(mult(c, a), b) = mult(c, mult(a, b))) <=> (mult(mult(c, a), b) = mult(c, mult(b, a)))),
% 6.46/6.62 inference(monotonicity,[status(thm)],[15745])).
% 6.46/6.62 tff(15747,plain,
% 6.46/6.62 ((mult(mult(c, a), b) = mult(c, mult(b, a))) <=> (mult(mult(c, a), b) = mult(c, mult(a, b)))),
% 6.46/6.62 inference(symmetry,[status(thm)],[15746])).
% 6.46/6.62 tff(15748,plain,
% 6.46/6.62 (mult(mult(c, a), b) = mult(c, mult(a, b))),
% 6.46/6.62 inference(modus_ponens,[status(thm)],[3071, 15747])).
% 6.46/6.62 tff(15749,plain,
% 6.46/6.62 ($false),
% 6.46/6.62 inference(unit_resolution,[status(thm)],[570, 15748])).
% 6.46/6.62 tff(15750,plain,((mult(mult(c, a), b) = mult(c, mult(a, b))) | (~(mult(a, b) = mult(b, a)))), inference(lemma,lemma(discharge,[]))).
% 6.46/6.62 tff(15751,plain,
% 6.46/6.62 (mult(mult(c, a), b) = mult(c, mult(a, b))),
% 6.46/6.62 inference(unit_resolution,[status(thm)],[15750, 15735])).
% 6.46/6.62 tff(15752,plain,
% 6.46/6.62 (mult(mult(c, a), b) = mult(c, mult(b, a))),
% 6.46/6.62 inference(modus_ponens,[status(thm)],[15751, 15744])).
% 6.46/6.62 tff(15753,plain,
% 6.46/6.62 (mult(mult(c, b), a) = mult(c, mult(a, b))),
% 6.46/6.62 inference(unit_resolution,[status(thm)],[2109, 15752])).
% 6.46/6.62 tff(15754,plain,
% 6.46/6.62 ((mult(mult(a, mult(a, b)), c) = mult(a, mult(mult(a, b), c))) | (~(mult(mult(a, a), mult(b, c)) = mult(a, mult(a, mult(b, c))))) | (~(mult(mult(mult(a, c), b), a) = mult(mult(a, c), mult(a, b)))) | (~(mult(mult(c, b), a) = mult(c, mult(a, b))))),
% 6.46/6.62 inference(unit_resolution,[status(thm)],[8986, 8959])).
% 6.46/6.62 tff(15755,plain,
% 6.46/6.62 ($false),
% 6.46/6.62 inference(unit_resolution,[status(thm)],[15754, 15753, 15742, 1994, 4714])).
% 6.46/6.62 tff(15756,plain,(mult(mult(a, mult(a, b)), c) = mult(a, mult(mult(a, b), c))), inference(lemma,lemma(discharge,[]))).
% 6.46/6.62 tff(15757,plain,
% 6.46/6.62 (mult(mult(a, c), mult(a, b)) = mult(a, mult(c, mult(a, b)))),
% 6.46/6.62 inference(unit_resolution,[status(thm)],[9003, 15756])).
% 6.46/6.62 tff(15758,plain,
% 6.46/6.62 (mult(a, mult(c, mult(b, a))) = mult(mult(a, mult(b, a)), c)),
% 6.46/6.62 inference(symmetry,[status(thm)],[1398])).
% 6.46/6.62 tff(15759,plain,
% 6.46/6.62 ((mult(mult(a, c), mult(b, a)) = mult(a, mult(c, mult(b, a)))) <=> (mult(a, mult(mult(b, a), c)) = mult(mult(a, mult(b, a)), c))),
% 6.46/6.62 inference(monotonicity,[status(thm)],[1402, 15758])).
% 6.46/6.62 tff(15760,plain,
% 6.46/6.62 ((mult(mult(a, c), mult(b, a)) = mult(a, mult(c, mult(b, a)))) <=> (mult(mult(a, mult(b, a)), c) = mult(a, mult(mult(b, a), c)))),
% 6.46/6.62 inference(transitivity,[status(thm)],[15759, 13460])).
% 6.46/6.62 tff(15761,plain,
% 6.46/6.62 ((mult(mult(a, mult(b, a)), c) = mult(a, mult(mult(b, a), c))) <=> (mult(mult(a, c), mult(b, a)) = mult(a, mult(c, mult(b, a))))),
% 6.46/6.62 inference(symmetry,[status(thm)],[15760])).
% 6.46/6.62 tff(15762,plain,
% 6.46/6.62 ((~(mult(mult(a, mult(b, a)), c) = mult(a, mult(mult(b, a), c)))) <=> (~(mult(mult(a, c), mult(b, a)) = mult(a, mult(c, mult(b, a)))))),
% 6.46/6.62 inference(monotonicity,[status(thm)],[15761])).
% 6.46/6.62 tff(15763,plain,
% 6.46/6.62 (~(mult(mult(a, c), mult(b, a)) = mult(a, mult(c, mult(b, a))))),
% 6.46/6.62 inference(modus_ponens,[status(thm)],[1394, 15762])).
% 6.46/6.62 tff(15764,plain,
% 6.46/6.62 ((mult(mult(c, a), b) = mult(c, mult(b, a))) | (mult(mult(a, c), mult(b, a)) = mult(a, mult(c, mult(b, a))))),
% 6.46/6.62 inference(unit_resolution,[status(thm)],[8289, 9222])).
% 6.46/6.62 tff(15765,plain,
% 6.46/6.62 (mult(mult(c, a), b) = mult(c, mult(b, a))),
% 6.46/6.62 inference(unit_resolution,[status(thm)],[15764, 15763])).
% 6.46/6.62 tff(15766,plain,
% 6.46/6.62 (~(mult(mult(a, b), mult(c, a)) = mult(a, mult(b, mult(c, a))))),
% 6.46/6.62 inference(unit_resolution,[status(thm)],[9243, 15763])).
% 6.46/6.62 tff(15767,plain,
% 6.46/6.62 (mult(a, mult(mult(b, a), c)) = mult(a, mult(b, mult(c, a)))),
% 6.46/6.62 inference(symmetry,[status(thm)],[3911])).
% 6.46/6.62 tff(15768,plain,
% 6.46/6.62 (mult(c, mult(a, b)) = mult(c, mult(b, a))),
% 6.46/6.62 inference(transitivity,[status(thm)],[271, 342])).
% 6.46/6.62 tff(15769,plain,
% 6.46/6.62 (ld(c, mult(c, mult(a, b))) = ld(c, mult(c, mult(b, a)))),
% 6.46/6.62 inference(monotonicity,[status(thm)],[15768])).
% 6.46/6.62 tff(15770,plain,
% 6.46/6.62 (ld(c, mult(c, mult(b, a))) = ld(c, mult(c, mult(a, b)))),
% 6.46/6.62 inference(symmetry,[status(thm)],[15769])).
% 6.46/6.62 tff(15771,plain,
% 6.46/6.62 (mult(b, a) = mult(a, b)),
% 6.46/6.62 inference(transitivity,[status(thm)],[2478, 15770, 13])).
% 6.46/6.62 tff(15772,plain,
% 6.46/6.62 (mult(mult(a, c), mult(b, a)) = mult(mult(a, c), mult(a, b))),
% 6.46/6.62 inference(monotonicity,[status(thm)],[15771])).
% 6.46/6.62 tff(15773,plain,
% 6.46/6.62 (mult(mult(a, c), mult(a, b)) = mult(mult(a, c), mult(b, a))),
% 6.46/6.62 inference(symmetry,[status(thm)],[15772])).
% 6.46/6.62 tff(15774,assumption,(~(mult(mult(a, b), mult(c, a)) = mult(a, mult(b, mult(c, a))))), introduced(assumption)).
% 6.46/6.62 tff(15775,plain,
% 6.46/6.62 ((~(mult(mult(a, b), mult(c, a)) = mult(a, mult(b, mult(c, a))))) | (~(mult(mult(a, mult(c, a)), b) = mult(a, mult(mult(c, a), b))))),
% 6.46/6.62 inference(unit_resolution,[status(thm)],[196, 15774])).
% 6.46/6.62 tff(15776,plain,
% 6.46/6.62 (~((~(mult(mult(a, b), mult(c, a)) = mult(a, mult(mult(c, a), b)))) | (~(mult(mult(a, mult(c, a)), b) = mult(a, mult(b, mult(c, a))))))),
% 6.46/6.62 inference(unit_resolution,[status(thm)],[201, 15775])).
% 6.46/6.62 tff(15777,plain,
% 6.46/6.62 (mult(mult(a, b), mult(c, a)) = mult(a, mult(mult(c, a), b))),
% 6.46/6.62 inference(unit_resolution,[status(thm)],[203, 15776])).
% 6.46/6.62 tff(15778,plain,
% 6.46/6.62 (mult(mult(a, b), mult(c, a)) = mult(a, mult(b, mult(c, a)))),
% 6.46/6.62 inference(transitivity,[status(thm)],[15777, 273, 989, 15773, 160, 15767])).
% 6.46/6.62 tff(15779,plain,
% 6.46/6.62 ($false),
% 6.46/6.62 inference(unit_resolution,[status(thm)],[15774, 15778])).
% 6.46/6.62 tff(15780,plain,((~(mult(mult(c, a), b) = mult(c, mult(a, b)))) | (mult(mult(a, b), mult(c, a)) = mult(a, mult(b, mult(c, a)))) | (~(mult(mult(a, c), mult(b, a)) = mult(a, mult(mult(b, a), c)))) | (~(mult(mult(a, c), mult(a, b)) = mult(a, mult(c, mult(a, b))))) | (~(mult(mult(c, a), b) = mult(c, mult(b, a)))) | (~(mult(mult(b, a), c) = mult(b, mult(c, a))))), inference(lemma,lemma(discharge,[]))).
% 6.46/6.63 tff(15781,plain,
% 6.46/6.63 ((~(mult(mult(c, a), b) = mult(c, mult(a, b)))) | (mult(mult(a, b), mult(c, a)) = mult(a, mult(b, mult(c, a)))) | (~(mult(mult(a, c), mult(b, a)) = mult(a, mult(mult(b, a), c)))) | (~(mult(mult(a, c), mult(a, b)) = mult(a, mult(c, mult(a, b))))) | (~(mult(mult(c, a), b) = mult(c, mult(b, a))))),
% 6.46/6.63 inference(unit_resolution,[status(thm)],[15780, 3427])).
% 6.46/6.63 tff(15782,plain,
% 6.46/6.63 ($false),
% 6.46/6.63 inference(unit_resolution,[status(thm)],[15781, 15766, 15765, 15757, 268, 1402])).
% 6.46/6.63 tff(15783,plain,((mult(mult(a, mult(b, a)), c) = mult(a, mult(mult(b, a), c))) | (~(mult(mult(c, a), b) = mult(c, mult(a, b))))), inference(lemma,lemma(discharge,[]))).
% 6.46/6.63 tff(15784,plain,
% 6.46/6.63 (mult(mult(a, mult(b, a)), c) = mult(a, mult(mult(b, a), c))),
% 6.46/6.63 inference(unit_resolution,[status(thm)],[15783, 268])).
% 6.46/6.63 tff(15785,plain,
% 6.46/6.63 (mult(mult(a, b), mult(c, a)) = mult(a, mult(b, mult(c, a)))),
% 6.46/6.63 inference(modus_ponens,[status(thm)],[15784, 15734])).
% 6.46/6.63 tff(15786,plain,
% 6.46/6.63 ((mult(mult(c, b), a) = mult(c, mult(b, a))) <=> (mult(c, mult(a, b)) = mult(mult(c, a), b))),
% 6.46/6.63 inference(monotonicity,[status(thm)],[5290, 7583])).
% 6.46/6.63 tff(15787,plain,
% 6.46/6.63 ((mult(mult(c, b), a) = mult(c, mult(b, a))) <=> (mult(mult(c, a), b) = mult(c, mult(a, b)))),
% 6.46/6.63 inference(transitivity,[status(thm)],[15786, 4369])).
% 6.46/6.63 tff(15788,plain,
% 6.46/6.63 ((mult(mult(c, a), b) = mult(c, mult(a, b))) <=> (mult(mult(c, b), a) = mult(c, mult(b, a)))),
% 6.46/6.63 inference(symmetry,[status(thm)],[15787])).
% 6.46/6.63 tff(15789,plain,
% 6.46/6.63 (mult(mult(c, b), a) = mult(c, mult(b, a))),
% 6.46/6.63 inference(modus_ponens,[status(thm)],[268, 15788])).
% 6.46/6.63 tff(15790,plain,
% 6.46/6.63 ((mult(mult(mult(a, c), mult(b, a)), b) = mult(mult(a, c), mult(mult(b, a), b))) | (~(mult(mult(a, c), mult(b, a)) = mult(a, mult(c, mult(b, a))))) | (~(mult(mult(c, b), a) = mult(c, mult(b, a))))),
% 6.46/6.63 inference(unit_resolution,[status(thm)],[5257, 8955, 8184])).
% 6.46/6.63 tff(15791,plain,
% 6.46/6.63 (~(mult(mult(a, c), mult(b, a)) = mult(a, mult(c, mult(b, a))))),
% 6.46/6.63 inference(unit_resolution,[status(thm)],[15790, 15789, 4890])).
% 6.46/6.63 tff(15792,plain,
% 6.46/6.63 ($false),
% 6.46/6.63 inference(unit_resolution,[status(thm)],[9243, 15791, 15785])).
% 6.46/6.63 tff(15793,plain,((mult(mult(mult(a, c), b), a) = mult(mult(a, c), mult(b, a))) | (~(mult(mult(c, a), b) = mult(c, mult(a, b))))), inference(lemma,lemma(discharge,[]))).
% 6.46/6.63 tff(15794,plain,
% 6.46/6.63 (mult(mult(mult(a, c), b), a) = mult(mult(a, c), mult(b, a))),
% 6.46/6.63 inference(unit_resolution,[status(thm)],[15793, 15733])).
% 6.46/6.63 tff(15795,plain,
% 6.46/6.63 (mult(mult(mult(a, c), mult(b, a)), b) = mult(mult(a, c), mult(mult(b, a), b))),
% 6.46/6.63 inference(unit_resolution,[status(thm)],[3557, 15794])).
% 6.46/6.63 tff(15796,plain,
% 6.46/6.63 (~(mult(mult(c, b), a) = mult(c, mult(a, b)))),
% 6.46/6.63 inference(unit_resolution,[status(thm)],[13266, 15794, 1])).
% 6.46/6.63 tff(15797,plain,
% 6.46/6.63 (~(mult(mult(c, a), b) = mult(c, mult(b, a)))),
% 6.46/6.63 inference(unit_resolution,[status(thm)],[2109, 15796])).
% 6.46/6.63 tff(15798,plain,
% 6.46/6.63 (~(mult(mult(mult(a, b), c), a) = mult(mult(a, b), mult(c, a)))),
% 6.46/6.63 inference(unit_resolution,[status(thm)],[9202, 15797, 15733, 15795])).
% 6.46/6.63 tff(15799,plain,
% 6.46/6.63 ((~(mult(mult(mult(a, b), a), c) = mult(mult(a, b), mult(a, c)))) | (~(mult(mult(mult(a, b), c), a) = mult(mult(a, b), mult(c, a))))),
% 6.46/6.63 inference(unit_resolution,[status(thm)],[185, 15798])).
% 6.46/6.63 tff(15800,plain,
% 6.46/6.63 (~((~(mult(mult(mult(a, b), a), c) = mult(mult(a, b), mult(c, a)))) | (~(mult(mult(mult(a, b), c), a) = mult(mult(a, b), mult(a, c)))))),
% 6.46/6.63 inference(unit_resolution,[status(thm)],[183, 15799])).
% 6.46/6.63 tff(15801,plain,
% 6.46/6.63 (mult(mult(mult(a, b), c), a) = mult(mult(a, b), mult(a, c))),
% 6.46/6.63 inference(unit_resolution,[status(thm)],[178, 15800])).
% 6.46/6.63 tff(15802,plain,
% 6.46/6.63 (mult(mult(a, b), mult(a, c)) = mult(mult(mult(a, b), c), a)),
% 6.46/6.63 inference(symmetry,[status(thm)],[15801])).
% 6.46/6.63 tff(15803,plain,
% 6.46/6.63 (mult(mult(a, mult(b, a)), c) = mult(a, mult(mult(b, a), c))),
% 6.46/6.63 inference(unit_resolution,[status(thm)],[15783, 15733])).
% 6.46/6.63 tff(15804,plain,
% 6.46/6.63 (mult(mult(mult(a, b), a), c) = mult(a, mult(b, mult(c, a)))),
% 6.46/6.63 inference(transitivity,[status(thm)],[9069, 15803, 13470])).
% 6.46/6.63 tff(15805,plain,
% 6.46/6.63 ((mult(mult(mult(a, b), a), c) = mult(mult(a, b), mult(a, c))) <=> (mult(a, mult(b, mult(c, a))) = mult(mult(mult(a, b), c), a))),
% 6.46/6.63 inference(monotonicity,[status(thm)],[15804, 15802])).
% 6.46/6.63 tff(15806,plain,
% 6.46/6.63 ((mult(a, mult(b, mult(c, a))) = mult(mult(mult(a, b), c), a)) <=> (mult(mult(mult(a, b), a), c) = mult(mult(a, b), mult(a, c)))),
% 6.46/6.63 inference(symmetry,[status(thm)],[15805])).
% 6.46/6.63 tff(15807,plain,
% 6.46/6.63 ((~(mult(a, mult(b, mult(c, a))) = mult(mult(mult(a, b), c), a))) <=> (~(mult(mult(mult(a, b), a), c) = mult(mult(a, b), mult(a, c))))),
% 6.46/6.63 inference(monotonicity,[status(thm)],[15806])).
% 6.46/6.63 tff(15808,plain,
% 6.46/6.63 (~(mult(mult(mult(a, b), a), c) = mult(mult(a, b), mult(a, c)))),
% 6.46/6.63 inference(modus_ponens,[status(thm)],[194, 15807])).
% 6.46/6.63 tff(15809,plain,
% 6.46/6.63 ((~![B: $i, A: $i] : (rd(mult(A, B), B) = A)) | (rd(mult(mult(c, mult(b, a)), a), a) = mult(c, mult(b, a)))),
% 6.46/6.63 inference(quant_inst,[status(thm)],[])).
% 6.46/6.63 tff(15810,plain,
% 6.46/6.63 (rd(mult(mult(c, mult(b, a)), a), a) = mult(c, mult(b, a))),
% 6.46/6.63 inference(unit_resolution,[status(thm)],[15809, 72])).
% 6.46/6.63 tff(15811,plain,
% 6.46/6.63 (mult(c, mult(mult(a, b), a)) = mult(c, mult(a, mult(b, a)))),
% 6.46/6.63 inference(monotonicity,[status(thm)],[219])).
% 6.46/6.63 tff(15812,plain,
% 6.46/6.63 (mult(c, mult(a, mult(b, a))) = mult(c, mult(mult(a, b), a))),
% 6.46/6.63 inference(symmetry,[status(thm)],[15811])).
% 6.46/6.63 tff(15813,assumption,(mult(mult(c, mult(b, a)), a) = mult(c, mult(a, mult(b, a)))), introduced(assumption)).
% 6.46/6.63 tff(15814,plain,
% 6.46/6.63 (mult(mult(c, mult(b, a)), a) = mult(mult(mult(c, a), b), a)),
% 6.46/6.63 inference(transitivity,[status(thm)],[15813, 15812, 3846])).
% 6.46/6.63 tff(15815,plain,
% 6.46/6.63 (rd(mult(mult(c, mult(b, a)), a), a) = rd(mult(mult(mult(c, a), b), a), a)),
% 6.46/6.63 inference(monotonicity,[status(thm)],[15814])).
% 6.46/6.63 tff(15816,plain,
% 6.46/6.63 (rd(mult(mult(mult(c, a), b), a), a) = rd(mult(mult(c, mult(b, a)), a), a)),
% 6.46/6.63 inference(symmetry,[status(thm)],[15815])).
% 6.46/6.63 tff(15817,plain,
% 6.46/6.63 (mult(mult(c, a), b) = mult(c, mult(b, a))),
% 6.46/6.63 inference(transitivity,[status(thm)],[5995, 15816, 15810])).
% 6.46/6.63 tff(15818,plain,
% 6.46/6.63 ($false),
% 6.46/6.63 inference(unit_resolution,[status(thm)],[40, 15817])).
% 6.46/6.63 tff(15819,plain,((~(mult(mult(c, mult(b, a)), a) = mult(c, mult(a, mult(b, a))))) | (mult(mult(c, a), b) = mult(c, mult(b, a))) | (~(mult(mult(a, b), a) = mult(a, mult(b, a))))), inference(lemma,lemma(discharge,[]))).
% 6.46/6.63 tff(15820,plain,
% 6.46/6.63 ((~(mult(mult(c, mult(b, a)), a) = mult(c, mult(a, mult(b, a))))) | (mult(mult(c, a), b) = mult(c, mult(b, a)))),
% 6.46/6.63 inference(unit_resolution,[status(thm)],[15819, 4193])).
% 6.46/6.63 tff(15821,plain,
% 6.46/6.63 (~(mult(mult(c, mult(b, a)), a) = mult(c, mult(a, mult(b, a))))),
% 6.46/6.63 inference(unit_resolution,[status(thm)],[15820, 15797])).
% 6.46/6.63 tff(15822,plain,
% 6.46/6.63 (mult(mult(b, mult(c, a)), mult(mult(a, a), b)) = mult(mult(b, mult(c, a)), mult(a, mult(a, b)))),
% 6.46/6.63 inference(symmetry,[status(thm)],[7919])).
% 6.46/6.63 tff(15823,plain,
% 6.46/6.63 (mult(mult(a, a), mult(b, c)) = mult(a, mult(a, mult(b, c)))),
% 6.46/6.63 inference(unit_resolution,[status(thm)],[10434, 15801])).
% 6.46/6.63 tff(15824,plain,
% 6.46/6.63 (mult(mult(a, mult(b, c)), a) = mult(a, mult(mult(b, c), a))),
% 6.46/6.63 inference(unit_resolution,[status(thm)],[1847, 15823])).
% 6.46/6.63 tff(15825,plain,
% 6.46/6.63 (~(mult(mult(b, c), a) = mult(b, mult(c, a)))),
% 6.46/6.63 inference(unit_resolution,[status(thm)],[13537, 15824])).
% 6.46/6.63 tff(15826,plain,
% 6.46/6.63 (~(mult(b, mult(c, a)) = mult(b, mult(a, c)))),
% 6.46/6.63 inference(modus_ponens,[status(thm)],[15825, 5986])).
% 6.46/6.63 tff(15827,plain,
% 6.46/6.63 (~(mult(c, a) = mult(a, c))),
% 6.46/6.63 inference(unit_resolution,[status(thm)],[2459, 15826])).
% 6.46/6.63 tff(15828,plain,
% 6.46/6.63 (((~(mult(mult(c, a), mult(b, a)) = mult(c, mult(mult(b, a), a)))) | (~(mult(mult(c, mult(b, a)), a) = mult(c, mult(a, mult(b, a)))))) | (mult(mult(c, mult(b, a)), a) = mult(c, mult(a, mult(b, a))))),
% 6.46/6.63 inference(tautology,[status(thm)],[])).
% 6.46/6.63 tff(15829,plain,
% 6.46/6.63 ((~(mult(mult(c, a), mult(b, a)) = mult(c, mult(mult(b, a), a)))) | (~(mult(mult(c, mult(b, a)), a) = mult(c, mult(a, mult(b, a)))))),
% 6.46/6.63 inference(unit_resolution,[status(thm)],[15828, 15821])).
% 6.46/6.63 tff(15830,plain,
% 6.46/6.63 (~((~(mult(mult(c, a), mult(b, a)) = mult(c, mult(a, mult(b, a))))) | (~(mult(mult(c, mult(b, a)), a) = mult(c, mult(mult(b, a), a)))))),
% 6.46/6.63 inference(unit_resolution,[status(thm)],[4534, 15829])).
% 6.46/6.63 tff(15831,plain,
% 6.46/6.63 (mult(mult(c, a), mult(b, a)) = mult(c, mult(a, mult(b, a)))),
% 6.46/6.63 inference(unit_resolution,[status(thm)],[4526, 15830])).
% 6.46/6.63 tff(15832,assumption,(~(mult(mult(mult(b, a), c), mult(mult(a, b), a)) = mult(mult(b, a), mult(mult(mult(a, b), a), c)))), introduced(assumption)).
% 6.46/6.63 tff(15833,plain,
% 6.46/6.63 ((~(mult(mult(mult(b, a), mult(mult(a, b), a)), c) = mult(mult(b, a), mult(c, mult(mult(a, b), a))))) | (~(mult(mult(mult(b, a), c), mult(mult(a, b), a)) = mult(mult(b, a), mult(mult(mult(a, b), a), c))))),
% 6.46/6.63 inference(unit_resolution,[status(thm)],[11237, 15832])).
% 6.46/6.63 tff(15834,plain,
% 6.46/6.63 (~((~(mult(mult(mult(b, a), mult(mult(a, b), a)), c) = mult(mult(b, a), mult(mult(mult(a, b), a), c)))) | (~(mult(mult(mult(b, a), c), mult(mult(a, b), a)) = mult(mult(b, a), mult(c, mult(mult(a, b), a))))))),
% 6.46/6.63 inference(unit_resolution,[status(thm)],[11235, 15833])).
% 6.46/6.63 tff(15835,plain,
% 6.46/6.63 (mult(mult(mult(b, a), c), mult(mult(a, b), a)) = mult(mult(b, a), mult(c, mult(mult(a, b), a)))),
% 6.46/6.63 inference(unit_resolution,[status(thm)],[11230, 15834])).
% 6.46/6.63 tff(15836,plain,
% 6.46/6.63 ($false),
% 6.46/6.63 inference(unit_resolution,[status(thm)],[10645, 10911, 168, 5546, 1])).
% 6.46/6.63 tff(15837,plain,((~(mult(mult(mult(a, b), c), a) = mult(mult(a, b), mult(a, c)))) | (mult(mult(mult(a, b), mult(a, c)), a) = mult(mult(a, b), mult(a, mult(a, c)))) | (mult(a, b) = mult(b, a))), inference(lemma,lemma(discharge,[]))).
% 6.46/6.63 tff(15838,plain,
% 6.46/6.63 (~(mult(mult(mult(a, b), c), a) = mult(mult(a, b), mult(a, c)))),
% 6.46/6.63 inference(unit_resolution,[status(thm)],[15837, 1, 5546])).
% 6.46/6.63 tff(15839,plain,
% 6.46/6.63 (mult(mult(mult(a, c), b), a) = mult(mult(a, c), mult(b, a))),
% 6.46/6.63 inference(unit_resolution,[status(thm)],[8968, 15838])).
% 6.46/6.63 tff(15840,plain,
% 6.46/6.63 (mult(mult(mult(a, c), mult(b, a)), b) = mult(mult(a, c), mult(mult(b, a), b))),
% 6.46/6.63 inference(unit_resolution,[status(thm)],[3557, 15839])).
% 6.46/6.63 tff(15841,plain,
% 6.46/6.63 ((~(mult(mult(mult(a, b), a), c) = mult(mult(a, b), mult(c, a)))) | (~(mult(mult(mult(a, b), c), a) = mult(mult(a, b), mult(a, c))))),
% 6.46/6.63 inference(unit_resolution,[status(thm)],[178, 15838])).
% 6.46/6.63 tff(15842,plain,
% 6.46/6.63 (~((~(mult(mult(mult(a, b), a), c) = mult(mult(a, b), mult(a, c)))) | (~(mult(mult(mult(a, b), c), a) = mult(mult(a, b), mult(c, a)))))),
% 6.46/6.63 inference(unit_resolution,[status(thm)],[183, 15841])).
% 6.46/6.63 tff(15843,plain,
% 6.46/6.63 (mult(mult(mult(a, b), c), a) = mult(mult(a, b), mult(c, a))),
% 6.46/6.63 inference(unit_resolution,[status(thm)],[185, 15842])).
% 6.46/6.63 tff(15844,plain,
% 6.46/6.63 (~(mult(mult(c, b), a) = mult(c, mult(a, b)))),
% 6.46/6.63 inference(unit_resolution,[status(thm)],[13266, 15839, 1])).
% 6.46/6.63 tff(15845,plain,
% 6.46/6.63 (~(mult(mult(c, a), b) = mult(c, mult(b, a)))),
% 6.46/6.63 inference(unit_resolution,[status(thm)],[2109, 15844])).
% 6.46/6.63 tff(15846,plain,
% 6.46/6.63 ($false),
% 6.46/6.63 inference(unit_resolution,[status(thm)],[9202, 15845, 15843, 15733, 15840])).
% 6.46/6.63 tff(15847,plain,((mult(a, b) = mult(b, a)) | (mult(mult(mult(a, b), mult(a, c)), a) = mult(mult(a, b), mult(a, mult(a, c))))), inference(lemma,lemma(discharge,[]))).
% 6.46/6.63 tff(15848,plain,
% 6.46/6.63 (mult(a, b) = mult(b, a)),
% 6.46/6.63 inference(unit_resolution,[status(thm)],[15847, 5546])).
% 6.46/6.63 tff(15849,plain,
% 6.46/6.63 (mult(mult(a, b), mult(a, c)) = mult(mult(b, a), mult(a, c))),
% 6.46/6.63 inference(monotonicity,[status(thm)],[15848])).
% 6.46/6.63 tff(15850,plain,
% 6.46/6.63 (mult(mult(b, a), mult(a, c)) = mult(mult(a, b), mult(a, c))),
% 6.46/6.63 inference(symmetry,[status(thm)],[15849])).
% 6.46/6.63 tff(15851,plain,
% 6.46/6.63 (mult(mult(a, b), c) = mult(mult(b, a), c)),
% 6.46/6.63 inference(monotonicity,[status(thm)],[15848])).
% 6.46/6.63 tff(15852,plain,
% 6.46/6.63 (mult(mult(a, b), c) = mult(b, mult(c, a))),
% 6.46/6.63 inference(transitivity,[status(thm)],[15851, 3427])).
% 6.46/6.63 tff(15853,plain,
% 6.46/6.63 (mult(mult(mult(a, b), c), a) = mult(mult(b, mult(c, a)), a)),
% 6.46/6.63 inference(monotonicity,[status(thm)],[15852])).
% 6.46/6.63 tff(15854,plain,
% 6.46/6.63 (mult(mult(mult(a, b), c), a) = mult(mult(a, b), mult(a, c))),
% 6.46/6.63 inference(transitivity,[status(thm)],[15853, 3532, 3530, 15850])).
% 6.46/6.63 tff(15855,plain,
% 6.46/6.63 (mult(mult(a, a), mult(b, c)) = mult(a, mult(a, mult(b, c)))),
% 6.46/6.63 inference(unit_resolution,[status(thm)],[10434, 15854])).
% 6.46/6.63 tff(15856,plain,
% 6.46/6.63 (mult(mult(a, mult(b, c)), a) = mult(a, mult(mult(b, c), a))),
% 6.46/6.63 inference(unit_resolution,[status(thm)],[1847, 15855])).
% 6.46/6.63 tff(15857,plain,
% 6.46/6.63 (mult(mult(a, mult(a, c)), b) = mult(a, mult(mult(a, c), b))),
% 6.46/6.63 inference(unit_resolution,[status(thm)],[10453, 15856, 15854])).
% 6.46/6.63 tff(15858,plain,
% 6.46/6.63 (mult(mult(a, mult(a, c)), b) = mult(a, mult(a, mult(c, b)))),
% 6.46/6.63 inference(transitivity,[status(thm)],[15857, 11077])).
% 6.46/6.63 tff(15859,plain,
% 6.46/6.63 (mult(a, mult(mult(a, mult(a, c)), b)) = mult(a, mult(a, mult(a, mult(c, b))))),
% 6.46/6.63 inference(monotonicity,[status(thm)],[15858])).
% 6.46/6.63 tff(15860,plain,
% 6.46/6.63 (mult(a, mult(a, mult(a, mult(c, b)))) = mult(a, mult(mult(a, mult(a, c)), b))),
% 6.46/6.63 inference(symmetry,[status(thm)],[15859])).
% 6.46/6.63 tff(15861,plain,
% 6.46/6.63 (mult(mult(a, a), mult(mult(a, c), b)) = mult(mult(a, a), mult(a, mult(c, b)))),
% 6.46/6.63 inference(monotonicity,[status(thm)],[8955])).
% 6.46/6.63 tff(15862,plain,
% 6.46/6.63 (mult(mult(a, a), mult(mult(a, c), b)) = mult(a, mult(mult(a, mult(a, c)), b))),
% 6.46/6.63 inference(transitivity,[status(thm)],[15861, 10605, 15860])).
% 6.46/6.63 tff(15863,plain,
% 6.46/6.63 (mult(b, a) = mult(a, b)),
% 6.46/6.63 inference(symmetry,[status(thm)],[15848])).
% 6.46/6.63 tff(15864,plain,
% 6.46/6.63 (mult(c, mult(b, a)) = mult(c, mult(a, b))),
% 6.46/6.63 inference(monotonicity,[status(thm)],[15863])).
% 6.46/6.63 tff(15865,plain,
% 6.46/6.63 (mult(c, mult(a, b)) = mult(c, mult(b, a))),
% 6.46/6.63 inference(symmetry,[status(thm)],[15864])).
% 6.46/6.63 tff(15866,plain,
% 6.46/6.63 ((mult(mult(c, a), b) = mult(c, mult(a, b))) <=> (mult(mult(c, a), b) = mult(c, mult(b, a)))),
% 6.46/6.63 inference(monotonicity,[status(thm)],[15865])).
% 6.46/6.63 tff(15867,plain,
% 6.46/6.63 (mult(mult(c, a), b) = mult(c, mult(a, b))),
% 6.46/6.63 inference(unit_resolution,[status(thm)],[15750, 15848])).
% 6.46/6.63 tff(15868,plain,
% 6.46/6.63 (mult(mult(c, a), b) = mult(c, mult(b, a))),
% 6.46/6.63 inference(modus_ponens,[status(thm)],[15867, 15866])).
% 6.46/6.63 tff(15869,plain,
% 6.46/6.63 (mult(mult(c, b), a) = mult(c, mult(a, b))),
% 6.46/6.63 inference(unit_resolution,[status(thm)],[2109, 15868])).
% 6.46/6.63 tff(15870,plain,
% 6.46/6.63 (~(mult(mult(b, c), a) = mult(b, mult(c, a)))),
% 6.46/6.63 inference(unit_resolution,[status(thm)],[13537, 15856])).
% 6.46/6.63 tff(15871,plain,
% 6.46/6.63 (~(mult(b, mult(c, a)) = mult(b, mult(a, c)))),
% 6.46/6.63 inference(modus_ponens,[status(thm)],[15870, 5986])).
% 6.46/6.63 tff(15872,plain,
% 6.46/6.63 (~(mult(c, a) = mult(a, c))),
% 6.46/6.63 inference(unit_resolution,[status(thm)],[2459, 15871])).
% 6.46/6.63 tff(15873,assumption,((~(mult(mult(c, b), a) = mult(c, mult(a, b)))) | (~(mult(mult(c, a), b) = mult(c, mult(b, a))))), introduced(assumption)).
% 6.46/6.63 tff(15874,plain,
% 6.46/6.63 ((~((~(mult(mult(c, b), a) = mult(c, mult(a, b)))) | (~(mult(mult(c, a), b) = mult(c, mult(b, a)))))) | (~(mult(mult(c, b), a) = mult(c, mult(a, b)))) | (~(mult(mult(c, a), b) = mult(c, mult(b, a))))),
% 6.46/6.63 inference(tautology,[status(thm)],[])).
% 6.46/6.63 tff(15875,plain,
% 6.46/6.63 ($false),
% 6.46/6.63 inference(unit_resolution,[status(thm)],[15874, 2110, 342, 15873])).
% 6.46/6.63 tff(15876,plain,((~(mult(mult(c, a), b) = mult(c, mult(b, a)))) | (~((~(mult(mult(c, b), a) = mult(c, mult(a, b)))) | (~(mult(mult(c, a), b) = mult(c, mult(b, a))))))), inference(lemma,lemma(discharge,[]))).
% 6.46/6.63 tff(15877,plain,
% 6.46/6.63 (~((~(mult(mult(c, b), a) = mult(c, mult(a, b)))) | (~(mult(mult(c, a), b) = mult(c, mult(b, a)))))),
% 6.46/6.63 inference(unit_resolution,[status(thm)],[15876, 15868])).
% 6.46/6.63 tff(15878,plain,
% 6.46/6.63 (ld(b, mult(b, mult(mult(a, c), a))) = ld(b, mult(b, mult(a, mult(c, a))))),
% 6.46/6.63 inference(symmetry,[status(thm)],[4682])).
% 6.46/6.63 tff(15879,plain,
% 6.46/6.63 (mult(mult(a, c), a) = mult(a, mult(c, a))),
% 6.46/6.63 inference(transitivity,[status(thm)],[3638, 15878, 3698])).
% 6.46/6.63 tff(15880,plain,
% 6.46/6.63 (mult(mult(mult(a, c), a), b) = mult(mult(a, mult(c, a)), b)),
% 6.46/6.63 inference(monotonicity,[status(thm)],[15879])).
% 6.46/6.63 tff(15881,plain,
% 6.46/6.63 (mult(mult(a, mult(c, a)), b) = mult(mult(mult(a, c), a), b)),
% 6.46/6.63 inference(symmetry,[status(thm)],[15880])).
% 6.46/6.63 tff(15882,assumption,(~((~(mult(mult(c, b), a) = mult(c, mult(a, b)))) | (~(mult(mult(c, a), b) = mult(c, mult(b, a)))))), introduced(assumption)).
% 6.46/6.63 tff(15883,plain,
% 6.46/6.63 (mult(mult(c, a), b) = mult(c, mult(b, a))),
% 6.46/6.63 inference(unit_resolution,[status(thm)],[303, 15882])).
% 6.46/6.63 tff(15884,plain,
% 6.46/6.63 (mult(mult(a, mult(c, a)), b) = mult(a, mult(b, mult(c, a)))),
% 6.46/6.63 inference(unit_resolution,[status(thm)],[4702, 15883, 4700])).
% 6.46/6.63 tff(15885,plain,
% 6.46/6.63 (mult(a, mult(b, mult(c, a))) = mult(mult(a, mult(c, a)), b)),
% 6.46/6.63 inference(symmetry,[status(thm)],[15884])).
% 6.46/6.63 tff(15886,plain,
% 6.46/6.63 (~(mult(mult(a, c), mult(a, b)) = mult(a, mult(mult(a, b), c)))),
% 6.46/6.63 inference(unit_resolution,[status(thm)],[4694, 15884, 4686, 1226])).
% 6.46/6.63 tff(15887,plain,
% 6.46/6.63 ((~(mult(mult(a, mult(a, b)), c) = mult(a, mult(c, mult(a, b))))) | (~(mult(mult(a, c), mult(a, b)) = mult(a, mult(mult(a, b), c))))),
% 6.46/6.63 inference(unit_resolution,[status(thm)],[601, 15886])).
% 6.46/6.63 tff(15888,plain,
% 6.46/6.63 (~((~(mult(mult(a, mult(a, b)), c) = mult(a, mult(mult(a, b), c)))) | (~(mult(mult(a, c), mult(a, b)) = mult(a, mult(c, mult(a, b))))))),
% 6.46/6.63 inference(unit_resolution,[status(thm)],[292, 15887])).
% 6.46/6.63 tff(15889,plain,
% 6.46/6.63 (mult(mult(a, c), mult(a, b)) = mult(a, mult(c, mult(a, b)))),
% 6.46/6.63 inference(unit_resolution,[status(thm)],[604, 15888])).
% 6.46/6.63 tff(15890,plain,
% 6.46/6.63 (mult(a, mult(c, mult(a, b))) = mult(mult(a, c), mult(a, b))),
% 6.46/6.63 inference(symmetry,[status(thm)],[15889])).
% 6.46/6.63 tff(15891,plain,
% 6.46/6.63 (mult(mult(c, b), a) = mult(c, mult(a, b))),
% 6.46/6.63 inference(unit_resolution,[status(thm)],[546, 15882])).
% 6.46/6.63 tff(15892,plain,
% 6.46/6.63 (mult(a, mult(mult(c, b), a)) = mult(a, mult(c, mult(a, b)))),
% 6.46/6.63 inference(monotonicity,[status(thm)],[15891])).
% 6.46/6.63 tff(15893,plain,
% 6.46/6.63 (mult(a, mult(mult(c, b), a)) = mult(mult(a, c), mult(a, b))),
% 6.46/6.63 inference(transitivity,[status(thm)],[15892, 15890])).
% 6.46/6.63 tff(15894,plain,
% 6.46/6.63 ((mult(mult(a, mult(c, b)), a) = mult(a, mult(mult(c, b), a))) <=> (mult(mult(mult(a, c), b), a) = mult(mult(a, c), mult(a, b)))),
% 6.46/6.63 inference(monotonicity,[status(thm)],[2244, 15893])).
% 6.46/6.63 tff(15895,plain,
% 6.46/6.63 ((mult(mult(mult(a, c), b), a) = mult(mult(a, c), mult(a, b))) <=> (mult(mult(a, mult(c, b)), a) = mult(a, mult(mult(c, b), a)))),
% 6.46/6.63 inference(symmetry,[status(thm)],[15894])).
% 6.46/6.63 tff(15896,plain,
% 6.46/6.63 ((~(mult(mult(mult(a, c), b), a) = mult(mult(a, c), mult(a, b)))) <=> (~(mult(mult(a, mult(c, b)), a) = mult(a, mult(mult(c, b), a))))),
% 6.46/6.63 inference(monotonicity,[status(thm)],[15895])).
% 6.46/6.63 tff(15897,plain,
% 6.46/6.63 (~(mult(mult(a, mult(c, b)), a) = mult(a, mult(mult(c, b), a)))),
% 6.46/6.63 inference(modus_ponens,[status(thm)],[1226, 15896])).
% 6.46/6.63 tff(15898,plain,
% 6.46/6.63 (~((~(mult(mult(a, a), mult(c, b)) = mult(a, mult(mult(c, b), a)))) | (~(mult(mult(a, mult(c, b)), a) = mult(a, mult(a, mult(c, b))))))),
% 6.46/6.63 inference(unit_resolution,[status(thm)],[86, 15897])).
% 6.46/6.63 tff(15899,plain,
% 6.46/6.63 (mult(mult(a, mult(c, b)), a) = mult(a, mult(a, mult(c, b)))),
% 6.46/6.63 inference(unit_resolution,[status(thm)],[88, 15898])).
% 6.46/6.63 tff(15900,plain,
% 6.46/6.63 (~(mult(mult(a, c), mult(b, a)) = mult(a, mult(c, mult(b, a))))),
% 6.46/6.63 inference(unit_resolution,[status(thm)],[2468, 15899, 4685, 788, 2466, 15883])).
% 6.46/6.63 tff(15901,plain,
% 6.46/6.63 ((~(mult(mult(a, c), mult(b, a)) = mult(a, mult(c, mult(b, a))))) | (~(mult(mult(a, mult(b, a)), c) = mult(a, mult(mult(b, a), c))))),
% 6.46/6.63 inference(unit_resolution,[status(thm)],[120, 15900])).
% 6.46/6.63 tff(15902,plain,
% 6.46/6.63 (~((~(mult(mult(a, c), mult(b, a)) = mult(a, mult(mult(b, a), c)))) | (~(mult(mult(a, mult(b, a)), c) = mult(a, mult(c, mult(b, a))))))),
% 6.46/6.63 inference(unit_resolution,[status(thm)],[132, 15901])).
% 6.46/6.63 tff(15903,plain,
% 6.46/6.63 (mult(mult(a, c), mult(b, a)) = mult(a, mult(mult(b, a), c))),
% 6.46/6.63 inference(unit_resolution,[status(thm)],[134, 15902])).
% 6.46/6.63 tff(15904,plain,
% 6.46/6.63 (mult(mult(mult(a, c), b), a) = mult(mult(a, c), mult(a, b))),
% 6.46/6.63 inference(transitivity,[status(thm)],[4685, 15903, 13470, 15885, 15881, 2236])).
% 6.46/6.63 tff(15905,plain,
% 6.46/6.63 ($false),
% 6.46/6.63 inference(unit_resolution,[status(thm)],[1226, 15904])).
% 6.46/6.63 tff(15906,plain,(((~(mult(mult(c, b), a) = mult(c, mult(a, b)))) | (~(mult(mult(c, a), b) = mult(c, mult(b, a))))) | (mult(mult(mult(a, c), b), a) = mult(mult(a, c), mult(a, b))) | (~(mult(mult(b, a), mult(a, c)) = mult(b, mult(mult(a, c), a)))) | (~(mult(mult(a, c), b) = mult(a, mult(c, b)))) | (mult(c, a) = mult(a, c))), inference(lemma,lemma(discharge,[]))).
% 6.46/6.64 tff(15907,plain,
% 6.46/6.64 (((~(mult(mult(c, b), a) = mult(c, mult(a, b)))) | (~(mult(mult(c, a), b) = mult(c, mult(b, a))))) | (mult(mult(mult(a, c), b), a) = mult(mult(a, c), mult(a, b))) | (~(mult(mult(a, c), b) = mult(a, mult(c, b)))) | (mult(c, a) = mult(a, c))),
% 6.46/6.64 inference(unit_resolution,[status(thm)],[15906, 4651])).
% 6.46/6.64 tff(15908,plain,
% 6.46/6.64 (((~(mult(mult(c, b), a) = mult(c, mult(a, b)))) | (~(mult(mult(c, a), b) = mult(c, mult(b, a))))) | (mult(mult(mult(a, c), b), a) = mult(mult(a, c), mult(a, b))) | (mult(c, a) = mult(a, c))),
% 6.46/6.64 inference(unit_resolution,[status(thm)],[15907, 8955])).
% 6.46/6.64 tff(15909,plain,
% 6.46/6.64 (mult(mult(mult(a, c), b), a) = mult(mult(a, c), mult(a, b))),
% 6.46/6.64 inference(unit_resolution,[status(thm)],[15908, 15877, 15872])).
% 6.46/6.64 tff(15910,plain,
% 6.46/6.64 (mult(mult(a, mult(a, b)), c) = mult(a, mult(mult(a, b), c))),
% 6.46/6.64 inference(unit_resolution,[status(thm)],[15754, 15909, 15855, 15869])).
% 6.46/6.64 tff(15911,plain,
% 6.46/6.64 (mult(mult(mult(a, a), c), b) = mult(mult(a, a), mult(c, b))),
% 6.46/6.64 inference(unit_resolution,[status(thm)],[10463, 15910, 15855])).
% 6.46/6.64 tff(15912,plain,
% 6.46/6.64 (mult(mult(mult(a, a), c), a) = mult(mult(a, mult(a, c)), a)),
% 6.46/6.64 inference(monotonicity,[status(thm)],[11081])).
% 6.46/6.64 tff(15913,plain,
% 6.46/6.64 (mult(mult(a, mult(a, c)), a) = mult(mult(mult(a, a), c), a)),
% 6.46/6.64 inference(symmetry,[status(thm)],[15912])).
% 6.46/6.64 tff(15914,plain,
% 6.46/6.64 (mult(a, mult(a, mult(a, c))) = mult(mult(mult(a, a), c), a)),
% 6.46/6.64 inference(transitivity,[status(thm)],[5389, 15913])).
% 6.46/6.64 tff(15915,plain,
% 6.46/6.64 ((mult(mult(a, a), mult(a, c)) = mult(a, mult(a, mult(a, c)))) <=> (mult(mult(a, a), mult(a, c)) = mult(mult(mult(a, a), c), a))),
% 6.46/6.64 inference(monotonicity,[status(thm)],[15914])).
% 6.46/6.64 tff(15916,plain,
% 6.46/6.64 ((mult(mult(a, a), mult(a, c)) = mult(a, mult(a, mult(a, c)))) <=> (mult(mult(mult(a, a), c), a) = mult(mult(a, a), mult(a, c)))),
% 6.46/6.64 inference(transitivity,[status(thm)],[15915, 5376])).
% 6.46/6.64 tff(15917,plain,
% 6.46/6.64 ((mult(mult(mult(a, a), c), a) = mult(mult(a, a), mult(a, c))) <=> (mult(mult(a, a), mult(a, c)) = mult(a, mult(a, mult(a, c))))),
% 6.46/6.64 inference(symmetry,[status(thm)],[15916])).
% 6.46/6.64 tff(15918,plain,
% 6.46/6.64 (mult(mult(a, a), mult(a, c)) = mult(a, mult(a, mult(a, c)))),
% 6.46/6.64 inference(modus_ponens,[status(thm)],[5399, 15917])).
% 6.46/6.64 tff(15919,plain,
% 6.46/6.64 ($false),
% 6.46/6.64 inference(unit_resolution,[status(thm)],[5384, 15918])).
% 6.46/6.64 tff(15920,plain,((mult(mult(a, a), mult(a, c)) = mult(a, mult(a, mult(a, c)))) | (~(mult(mult(a, mult(a, c)), b) = mult(a, mult(mult(a, c), b)))) | (~(mult(mult(mult(a, a), c), b) = mult(mult(a, a), mult(c, b))))), inference(lemma,lemma(discharge,[]))).
% 6.46/6.64 tff(15921,plain,
% 6.46/6.64 (mult(mult(a, a), mult(a, c)) = mult(a, mult(a, mult(a, c)))),
% 6.46/6.64 inference(unit_resolution,[status(thm)],[15920, 15911, 15857])).
% 6.46/6.64 tff(15922,plain,
% 6.46/6.64 (mult(mult(mult(a, a), mult(a, c)), b) = mult(mult(a, mult(a, mult(a, c))), b)),
% 6.46/6.64 inference(monotonicity,[status(thm)],[15921])).
% 6.46/6.64 tff(15923,plain,
% 6.46/6.64 ((mult(mult(mult(a, a), mult(a, c)), b) = mult(mult(a, a), mult(mult(a, c), b))) <=> (mult(mult(a, mult(a, mult(a, c))), b) = mult(a, mult(mult(a, mult(a, c)), b)))),
% 6.46/6.64 inference(monotonicity,[status(thm)],[15922, 15862])).
% 6.46/6.64 tff(15924,plain,
% 6.46/6.64 ((mult(mult(a, mult(a, mult(a, c))), b) = mult(a, mult(mult(a, mult(a, c)), b))) <=> (mult(mult(mult(a, a), mult(a, c)), b) = mult(mult(a, a), mult(mult(a, c), b)))),
% 6.46/6.64 inference(symmetry,[status(thm)],[15923])).
% 6.46/6.64 tff(15925,plain,
% 6.46/6.64 ((~(mult(mult(a, mult(a, mult(a, c))), b) = mult(a, mult(mult(a, mult(a, c)), b)))) <=> (~(mult(mult(mult(a, a), mult(a, c)), b) = mult(mult(a, a), mult(mult(a, c), b))))),
% 6.46/6.64 inference(monotonicity,[status(thm)],[15924])).
% 6.46/6.64 tff(15926,plain,
% 6.46/6.64 (mult(mult(a, mult(a, c)), a) = mult(a, mult(mult(a, c), a))),
% 6.46/6.64 inference(unit_resolution,[status(thm)],[10473, 15911, 15857])).
% 6.46/6.64 tff(15927,plain,
% 6.46/6.64 (mult(mult(mult(a, a), b), c) = mult(mult(a, a), mult(b, c))),
% 6.46/6.64 inference(unit_resolution,[status(thm)],[10483, 15926, 15857])).
% 6.46/6.64 tff(15928,plain,
% 6.46/6.64 (mult(mult(a, mult(mult(b, c), a)), a) = mult(a, mult(mult(mult(b, c), a), a))),
% 6.46/6.64 inference(unit_resolution,[status(thm)],[10556, 15927, 15855])).
% 6.46/6.64 tff(15929,plain,
% 6.46/6.64 ((~(mult(mult(a, b), mult(a, mult(a, c))) = mult(a, mult(b, mult(a, mult(a, c)))))) | (mult(mult(mult(a, b), mult(a, c)), a) = mult(mult(a, b), mult(a, mult(a, c)))) | (~(mult(mult(a, mult(mult(b, c), a)), a) = mult(a, mult(mult(mult(b, c), a), a)))) | (~(mult(mult(mult(a, b), c), a) = mult(mult(a, b), mult(a, c)))) | (~(mult(mult(a, mult(b, c)), a) = mult(a, mult(mult(b, c), a))))),
% 6.46/6.64 inference(unit_resolution,[status(thm)],[10573, 8959])).
% 6.46/6.64 tff(15930,plain,
% 6.46/6.64 (~(mult(mult(a, b), mult(a, mult(a, c))) = mult(a, mult(b, mult(a, mult(a, c)))))),
% 6.46/6.64 inference(unit_resolution,[status(thm)],[15929, 15928, 5546, 15854, 15856])).
% 6.46/6.64 tff(15931,plain,
% 6.46/6.64 ((~(mult(mult(a, b), mult(a, mult(a, c))) = mult(a, mult(b, mult(a, mult(a, c)))))) | (~(mult(mult(a, mult(a, mult(a, c))), b) = mult(a, mult(mult(a, mult(a, c)), b))))),
% 6.46/6.64 inference(unit_resolution,[status(thm)],[5607, 15930])).
% 6.46/6.64 tff(15932,plain,
% 6.46/6.64 (~((~(mult(mult(a, b), mult(a, mult(a, c))) = mult(a, mult(mult(a, mult(a, c)), b)))) | (~(mult(mult(a, mult(a, mult(a, c))), b) = mult(a, mult(b, mult(a, mult(a, c)))))))),
% 6.46/6.64 inference(unit_resolution,[status(thm)],[10585, 15931])).
% 6.46/6.64 tff(15933,plain,
% 6.46/6.64 (mult(mult(a, mult(a, mult(a, c))), b) = mult(a, mult(b, mult(a, mult(a, c))))),
% 6.46/6.64 inference(unit_resolution,[status(thm)],[5600, 15932])).
% 6.46/6.64 tff(15934,plain,
% 6.46/6.64 (mult(a, mult(b, mult(a, mult(a, c)))) = mult(mult(a, mult(a, mult(a, c))), b)),
% 6.46/6.64 inference(symmetry,[status(thm)],[15933])).
% 6.46/6.64 tff(15935,plain,
% 6.46/6.64 (mult(mult(a, b), mult(a, mult(a, c))) = mult(a, mult(mult(a, mult(a, c)), b))),
% 6.46/6.64 inference(unit_resolution,[status(thm)],[5675, 15932])).
% 6.46/6.64 tff(15936,plain,
% 6.46/6.64 ((mult(mult(a, b), mult(a, mult(a, c))) = mult(a, mult(b, mult(a, mult(a, c))))) <=> (mult(a, mult(mult(a, mult(a, c)), b)) = mult(mult(a, mult(a, mult(a, c))), b))),
% 6.46/6.64 inference(monotonicity,[status(thm)],[15935, 15934])).
% 6.46/6.64 tff(15937,plain,
% 6.46/6.64 ((mult(mult(a, b), mult(a, mult(a, c))) = mult(a, mult(b, mult(a, mult(a, c))))) <=> (mult(mult(a, mult(a, mult(a, c))), b) = mult(a, mult(mult(a, mult(a, c)), b)))),
% 6.46/6.64 inference(transitivity,[status(thm)],[15936, 10689])).
% 6.46/6.64 tff(15938,plain,
% 6.46/6.64 ((~(mult(mult(a, b), mult(a, mult(a, c))) = mult(a, mult(b, mult(a, mult(a, c)))))) <=> (~(mult(mult(a, mult(a, mult(a, c))), b) = mult(a, mult(mult(a, mult(a, c)), b))))),
% 6.46/6.64 inference(monotonicity,[status(thm)],[15937])).
% 6.46/6.64 tff(15939,plain,
% 6.46/6.64 (~(mult(mult(a, mult(a, mult(a, c))), b) = mult(a, mult(mult(a, mult(a, c)), b)))),
% 6.46/6.64 inference(modus_ponens,[status(thm)],[15930, 15938])).
% 6.46/6.64 tff(15940,plain,
% 6.46/6.64 (~(mult(mult(mult(a, a), mult(a, c)), b) = mult(mult(a, a), mult(mult(a, c), b)))),
% 6.46/6.64 inference(modus_ponens,[status(thm)],[15939, 15925])).
% 6.46/6.64 tff(15941,plain,
% 6.46/6.64 (mult(mult(b, a), c) = mult(mult(a, b), c)),
% 6.46/6.64 inference(symmetry,[status(thm)],[15851])).
% 6.46/6.64 tff(15942,plain,
% 6.46/6.64 (mult(b, mult(c, a)) = mult(mult(a, b), c)),
% 6.46/6.64 inference(transitivity,[status(thm)],[3531, 15941])).
% 6.46/6.64 tff(15943,plain,
% 6.46/6.64 (mult(a, mult(b, mult(c, a))) = mult(a, mult(mult(a, b), c))),
% 6.46/6.64 inference(monotonicity,[status(thm)],[15942])).
% 6.46/6.64 tff(15944,plain,
% 6.46/6.64 (mult(a, mult(mult(a, b), c)) = mult(a, mult(b, mult(c, a)))),
% 6.46/6.64 inference(symmetry,[status(thm)],[15943])).
% 6.46/6.64 tff(15945,plain,
% 6.46/6.64 (mult(a, mult(a, mult(b, c))) = mult(a, mult(b, mult(c, a)))),
% 6.46/6.64 inference(transitivity,[status(thm)],[10420, 15944])).
% 6.46/6.64 tff(15946,plain,
% 6.46/6.64 ((mult(mult(a, mult(b, c)), a) = mult(a, mult(a, mult(b, c)))) <=> (mult(mult(mult(a, b), c), a) = mult(a, mult(b, mult(c, a))))),
% 6.46/6.64 inference(monotonicity,[status(thm)],[10660, 15945])).
% 6.46/6.64 tff(15947,plain,
% 6.46/6.64 ((mult(mult(a, mult(b, c)), a) = mult(a, mult(a, mult(b, c)))) <=> (mult(a, mult(b, mult(c, a))) = mult(mult(mult(a, b), c), a))),
% 6.46/6.64 inference(transitivity,[status(thm)],[15946, 15])).
% 6.46/6.64 tff(15948,plain,
% 6.46/6.64 ((mult(a, mult(b, mult(c, a))) = mult(mult(mult(a, b), c), a)) <=> (mult(mult(a, mult(b, c)), a) = mult(a, mult(a, mult(b, c))))),
% 6.46/6.64 inference(symmetry,[status(thm)],[15947])).
% 6.46/6.64 tff(15949,plain,
% 6.46/6.64 ((~(mult(a, mult(b, mult(c, a))) = mult(mult(mult(a, b), c), a))) <=> (~(mult(mult(a, mult(b, c)), a) = mult(a, mult(a, mult(b, c)))))),
% 6.46/6.64 inference(monotonicity,[status(thm)],[15948])).
% 6.46/6.64 tff(15950,plain,
% 6.46/6.64 (~(mult(mult(a, mult(b, c)), a) = mult(a, mult(a, mult(b, c))))),
% 6.46/6.64 inference(modus_ponens,[status(thm)],[194, 15949])).
% 6.46/6.64 tff(15951,plain,
% 6.46/6.64 (mult(mult(mult(mult(a, b), c), a), a) = mult(mult(a, mult(mult(b, c), a)), a)),
% 6.46/6.64 inference(monotonicity,[status(thm)],[10989])).
% 6.46/6.64 tff(15952,plain,
% 6.46/6.64 (mult(mult(a, mult(mult(b, c), a)), a) = mult(mult(mult(mult(a, b), c), a), a)),
% 6.46/6.64 inference(symmetry,[status(thm)],[15951])).
% 6.46/6.64 tff(15953,assumption,(mult(mult(a, mult(mult(b, c), a)), a) = mult(a, mult(a, mult(mult(b, c), a)))), introduced(assumption)).
% 6.46/6.64 tff(15954,plain,
% 6.46/6.64 (mult(a, mult(a, mult(mult(b, c), a))) = mult(mult(a, mult(mult(b, c), a)), a)),
% 6.46/6.64 inference(symmetry,[status(thm)],[15953])).
% 6.46/6.64 tff(15955,plain,
% 6.46/6.64 (mult(mult(mult(a, mult(a, b)), c), a) = mult(mult(mult(a, a), mult(b, c)), a)),
% 6.46/6.64 inference(symmetry,[status(thm)],[5636])).
% 6.46/6.64 tff(15956,plain,
% 6.46/6.64 (mult(a, mult(mult(a, b), c)) = mult(mult(a, mult(a, b)), c)),
% 6.46/6.64 inference(transitivity,[status(thm)],[2576, 1194, 2901, 5634])).
% 6.46/6.64 tff(15957,plain,
% 6.46/6.64 (mult(mult(a, mult(mult(a, b), c)), a) = mult(mult(mult(a, mult(a, b)), c), a)),
% 6.46/6.64 inference(monotonicity,[status(thm)],[15956])).
% 6.46/6.64 tff(15958,plain,
% 6.46/6.64 (mult(mult(a, mult(mult(a, b), c)), a) = mult(mult(mult(mult(a, b), c), a), a)),
% 6.46/6.64 inference(transitivity,[status(thm)],[15957, 15955, 5500, 10525, 15954, 15952])).
% 6.46/6.64 tff(15959,plain,
% 6.46/6.64 (rd(mult(mult(a, mult(mult(a, b), c)), a), a) = rd(mult(mult(mult(mult(a, b), c), a), a), a)),
% 6.46/6.64 inference(monotonicity,[status(thm)],[15958])).
% 6.46/6.64 tff(15960,plain,
% 6.46/6.64 (rd(mult(mult(mult(mult(a, b), c), a), a), a) = rd(mult(mult(a, mult(mult(a, b), c)), a), a)),
% 6.46/6.64 inference(symmetry,[status(thm)],[15959])).
% 6.46/6.64 tff(15961,plain,
% 6.46/6.64 ((~![B: $i, A: $i] : (rd(mult(A, B), B) = A)) | (rd(mult(mult(mult(mult(a, b), c), a), a), a) = mult(mult(mult(a, b), c), a))),
% 6.46/6.64 inference(quant_inst,[status(thm)],[])).
% 6.46/6.64 tff(15962,plain,
% 6.46/6.64 (rd(mult(mult(mult(mult(a, b), c), a), a), a) = mult(mult(mult(a, b), c), a)),
% 6.46/6.64 inference(unit_resolution,[status(thm)],[15961, 72])).
% 6.46/6.64 tff(15963,plain,
% 6.46/6.64 (mult(mult(mult(a, b), c), a) = rd(mult(mult(mult(mult(a, b), c), a), a), a)),
% 6.46/6.64 inference(symmetry,[status(thm)],[15962])).
% 6.46/6.64 tff(15964,plain,
% 6.46/6.64 (mult(mult(a, mult(b, c)), a) = mult(a, mult(a, mult(b, c)))),
% 6.46/6.64 inference(transitivity,[status(thm)],[778, 15963, 15960, 10486, 2576])).
% 6.46/6.64 tff(15965,assumption,(~(mult(mult(a, mult(b, c)), a) = mult(a, mult(a, mult(b, c))))), introduced(assumption)).
% 6.46/6.64 tff(15966,plain,
% 6.46/6.64 ($false),
% 6.46/6.64 inference(unit_resolution,[status(thm)],[15965, 15964])).
% 6.46/6.64 tff(15967,plain,((~(mult(mult(a, mult(mult(b, c), a)), a) = mult(a, mult(a, mult(mult(b, c), a))))) | (mult(mult(a, mult(b, c)), a) = mult(a, mult(a, mult(b, c)))) | (~(mult(mult(mult(a, a), b), c) = mult(mult(a, a), mult(b, c)))) | (~(mult(mult(a, a), mult(b, c)) = mult(a, mult(a, mult(b, c))))) | (~(mult(mult(a, a), b) = mult(a, mult(a, b)))) | (~(mult(mult(a, mult(b, c)), a) = mult(a, mult(mult(b, c), a)))) | (~(mult(mult(a, b), c) = mult(a, mult(b, c))))), inference(lemma,lemma(discharge,[]))).
% 6.46/6.64 tff(15968,plain,
% 6.46/6.64 ((~(mult(mult(a, mult(mult(b, c), a)), a) = mult(a, mult(a, mult(mult(b, c), a))))) | (mult(mult(a, mult(b, c)), a) = mult(a, mult(a, mult(b, c)))) | (~(mult(mult(mult(a, a), b), c) = mult(mult(a, a), mult(b, c)))) | (~(mult(mult(a, a), mult(b, c)) = mult(a, mult(a, mult(b, c))))) | (~(mult(mult(a, mult(b, c)), a) = mult(a, mult(mult(b, c), a)))) | (~(mult(mult(a, b), c) = mult(a, mult(b, c))))),
% 6.46/6.64 inference(unit_resolution,[status(thm)],[15967, 4190])).
% 6.46/6.64 tff(15969,plain,
% 6.46/6.64 ((~(mult(mult(a, mult(mult(b, c), a)), a) = mult(a, mult(a, mult(mult(b, c), a))))) | (mult(mult(a, mult(b, c)), a) = mult(a, mult(a, mult(b, c)))) | (~(mult(mult(mult(a, a), b), c) = mult(mult(a, a), mult(b, c)))) | (~(mult(mult(a, a), mult(b, c)) = mult(a, mult(a, mult(b, c))))) | (~(mult(mult(a, mult(b, c)), a) = mult(a, mult(mult(b, c), a))))),
% 6.46/6.64 inference(unit_resolution,[status(thm)],[15968, 8959])).
% 6.46/6.64 tff(15970,plain,
% 6.46/6.64 (~(mult(mult(a, mult(mult(b, c), a)), a) = mult(a, mult(a, mult(mult(b, c), a))))),
% 6.46/6.64 inference(unit_resolution,[status(thm)],[15969, 15927, 15950, 15856, 15855])).
% 6.46/6.64 tff(15971,plain,
% 6.46/6.64 (mult(a, mult(a, mult(a, mult(c, b)))) = mult(a, mult(a, mult(mult(a, c), b)))),
% 6.46/6.64 inference(monotonicity,[status(thm)],[798])).
% 6.46/6.64 tff(15972,plain,
% 6.46/6.64 (mult(a, mult(a, mult(mult(a, c), b))) = mult(a, mult(a, mult(a, mult(c, b))))),
% 6.46/6.64 inference(symmetry,[status(thm)],[15971])).
% 6.46/6.64 tff(15973,plain,
% 6.46/6.64 (mult(a, mult(mult(a, mult(a, c)), b)) = mult(a, mult(a, mult(mult(a, c), b)))),
% 6.46/6.64 inference(monotonicity,[status(thm)],[914])).
% 6.46/6.64 tff(15974,plain,
% 6.46/6.64 (mult(a, mult(mult(a, mult(a, c)), b)) = mult(mult(a, a), mult(mult(a, c), b))),
% 6.46/6.64 inference(transitivity,[status(thm)],[15973, 15972, 5510, 10591])).
% 6.46/6.64 tff(15975,plain,
% 6.46/6.64 ((mult(mult(a, mult(a, mult(a, c))), b) = mult(a, mult(mult(a, mult(a, c)), b))) <=> (mult(mult(mult(a, a), mult(a, c)), b) = mult(mult(a, a), mult(mult(a, c), b)))),
% 6.46/6.64 inference(monotonicity,[status(thm)],[10560, 15974])).
% 6.46/6.64 tff(15976,plain,
% 6.46/6.64 ((mult(a, mult(b, mult(a, mult(a, c)))) = mult(mult(a, mult(a, mult(a, c))), b)) <=> (mult(mult(a, mult(a, mult(a, c))), b) = mult(a, mult(b, mult(a, mult(a, c)))))),
% 6.46/6.64 inference(commutativity,[status(thm)],[])).
% 6.46/6.64 tff(15977,plain,
% 6.46/6.64 (mult(mult(a, a), mult(b, mult(a, c))) = mult(mult(mult(a, a), mult(a, c)), b)),
% 6.46/6.64 inference(symmetry,[status(thm)],[5655])).
% 6.46/6.64 tff(15978,plain,
% 6.46/6.64 (mult(mult(a, a), mult(mult(b, c), a)) = mult(mult(a, a), mult(b, mult(a, c)))),
% 6.46/6.64 inference(monotonicity,[status(thm)],[3433])).
% 6.46/6.64 tff(15979,plain,
% 6.46/6.64 (~((~(mult(mult(a, a), mult(mult(b, c), a)) = mult(a, mult(a, mult(mult(b, c), a))))) | (~(mult(mult(a, mult(mult(b, c), a)), a) = mult(a, mult(mult(mult(b, c), a), a)))))),
% 6.46/6.64 inference(unit_resolution,[status(thm)],[10511, 5910])).
% 6.46/6.64 tff(15980,plain,
% 6.46/6.64 (((~(mult(mult(a, a), mult(mult(b, c), a)) = mult(a, mult(a, mult(mult(b, c), a))))) | (~(mult(mult(a, mult(mult(b, c), a)), a) = mult(a, mult(mult(mult(b, c), a), a))))) | (mult(mult(a, a), mult(mult(b, c), a)) = mult(a, mult(a, mult(mult(b, c), a))))),
% 6.46/6.64 inference(tautology,[status(thm)],[])).
% 6.46/6.64 tff(15981,plain,
% 6.46/6.64 (mult(mult(a, a), mult(mult(b, c), a)) = mult(a, mult(a, mult(mult(b, c), a)))),
% 6.46/6.64 inference(unit_resolution,[status(thm)],[15980, 15979])).
% 6.46/6.64 tff(15982,plain,
% 6.46/6.64 (mult(a, mult(a, mult(mult(b, c), a))) = mult(mult(a, a), mult(mult(b, c), a))),
% 6.46/6.64 inference(symmetry,[status(thm)],[15981])).
% 6.46/6.64 tff(15983,plain,
% 6.46/6.64 (mult(a, mult(a, mult(mult(b, c), a))) = mult(mult(a, mult(a, mult(a, c))), b)),
% 6.46/6.64 inference(transitivity,[status(thm)],[15982, 15978, 15977, 10559])).
% 6.46/6.64 tff(15984,plain,
% 6.46/6.64 (mult(b, mult(a, mult(a, c))) = mult(mult(mult(b, c), a), a)),
% 6.46/6.64 inference(transitivity,[status(thm)],[6385, 8428])).
% 6.46/6.64 tff(15985,plain,
% 6.46/6.64 (mult(a, mult(b, mult(a, mult(a, c)))) = mult(a, mult(mult(mult(b, c), a), a))),
% 6.46/6.64 inference(monotonicity,[status(thm)],[15984])).
% 6.46/6.64 tff(15986,plain,
% 6.46/6.64 (mult(a, mult(mult(mult(b, c), a), a)) = mult(a, mult(b, mult(a, mult(a, c))))),
% 6.46/6.64 inference(symmetry,[status(thm)],[15985])).
% 6.46/6.64 tff(15987,plain,
% 6.46/6.64 (mult(mult(a, mult(mult(b, c), a)), a) = mult(a, mult(mult(mult(b, c), a), a))),
% 6.46/6.64 inference(unit_resolution,[status(thm)],[10495, 15979])).
% 6.46/6.64 tff(15988,plain,
% 6.46/6.64 (mult(mult(a, mult(mult(b, c), a)), a) = mult(a, mult(b, mult(a, mult(a, c))))),
% 6.46/6.64 inference(transitivity,[status(thm)],[15987, 15986])).
% 6.46/6.64 tff(15989,plain,
% 6.46/6.64 ((mult(mult(a, mult(mult(b, c), a)), a) = mult(a, mult(a, mult(mult(b, c), a)))) <=> (mult(a, mult(b, mult(a, mult(a, c)))) = mult(mult(a, mult(a, mult(a, c))), b))),
% 6.46/6.64 inference(monotonicity,[status(thm)],[15988, 15983])).
% 6.46/6.64 tff(15990,plain,
% 6.46/6.64 ((mult(mult(a, mult(mult(b, c), a)), a) = mult(a, mult(a, mult(mult(b, c), a)))) <=> (mult(mult(a, mult(a, mult(a, c))), b) = mult(a, mult(b, mult(a, mult(a, c)))))),
% 6.46/6.64 inference(transitivity,[status(thm)],[15989, 15976])).
% 6.46/6.64 tff(15991,plain,
% 6.46/6.64 ((~(mult(mult(a, mult(mult(b, c), a)), a) = mult(a, mult(a, mult(mult(b, c), a))))) <=> (~(mult(mult(a, mult(a, mult(a, c))), b) = mult(a, mult(b, mult(a, mult(a, c))))))),
% 6.46/6.65 inference(monotonicity,[status(thm)],[15990])).
% 6.46/6.65 tff(15992,plain,
% 6.46/6.65 (~(mult(mult(a, mult(a, mult(a, c))), b) = mult(a, mult(b, mult(a, mult(a, c)))))),
% 6.46/6.65 inference(modus_ponens,[status(thm)],[5910, 15991])).
% 6.46/6.65 tff(15993,plain,
% 6.46/6.65 ((~(mult(mult(a, b), mult(a, mult(a, c))) = mult(a, mult(mult(a, mult(a, c)), b)))) | (~(mult(mult(a, mult(a, mult(a, c))), b) = mult(a, mult(b, mult(a, mult(a, c))))))),
% 6.46/6.65 inference(unit_resolution,[status(thm)],[5600, 15992])).
% 6.46/6.65 tff(15994,plain,
% 6.46/6.65 (~((~(mult(mult(a, b), mult(a, mult(a, c))) = mult(a, mult(b, mult(a, mult(a, c)))))) | (~(mult(mult(a, mult(a, mult(a, c))), b) = mult(a, mult(mult(a, mult(a, c)), b)))))),
% 6.46/6.65 inference(unit_resolution,[status(thm)],[10585, 15993])).
% 6.46/6.65 tff(15995,plain,
% 6.46/6.65 (mult(mult(a, mult(a, mult(a, c))), b) = mult(a, mult(mult(a, mult(a, c)), b))),
% 6.46/6.65 inference(unit_resolution,[status(thm)],[5672, 15994])).
% 6.46/6.65 tff(15996,plain,
% 6.46/6.65 (mult(mult(mult(a, a), mult(a, c)), b) = mult(mult(a, a), mult(mult(a, c), b))),
% 6.46/6.65 inference(modus_ponens,[status(thm)],[15995, 15975])).
% 6.46/6.65 tff(15997,plain,
% 6.46/6.65 ($false),
% 6.46/6.65 inference(unit_resolution,[status(thm)],[5641, 15996])).
% 6.46/6.65 tff(15998,plain,((mult(mult(mult(a, a), mult(a, c)), b) = mult(mult(a, a), mult(mult(a, c), b))) | (~(mult(mult(a, a), mult(a, mult(c, b))) = mult(a, mult(a, mult(a, mult(c, b)))))) | (~(mult(mult(a, mult(a, c)), b) = mult(a, mult(mult(a, c), b)))) | (~(mult(mult(a, c), b) = mult(a, mult(c, b)))) | (~(mult(mult(a, a), mult(a, c)) = mult(a, mult(a, mult(a, c))))) | (mult(mult(a, mult(mult(b, c), a)), a) = mult(a, mult(a, mult(mult(b, c), a)))) | (~(mult(mult(b, mult(a, c)), a) = mult(b, mult(a, mult(a, c)))))), inference(lemma,lemma(discharge,[]))).
% 6.46/6.65 tff(15999,plain,
% 6.46/6.65 ((mult(mult(mult(a, a), mult(a, c)), b) = mult(mult(a, a), mult(mult(a, c), b))) | (~(mult(mult(a, a), mult(a, mult(c, b))) = mult(a, mult(a, mult(a, mult(c, b)))))) | (~(mult(mult(a, mult(a, c)), b) = mult(a, mult(mult(a, c), b)))) | (~(mult(mult(a, c), b) = mult(a, mult(c, b)))) | (~(mult(mult(a, a), mult(a, c)) = mult(a, mult(a, mult(a, c))))) | (mult(mult(a, mult(mult(b, c), a)), a) = mult(a, mult(a, mult(mult(b, c), a))))),
% 6.46/6.65 inference(unit_resolution,[status(thm)],[15998, 5328])).
% 6.46/6.65 tff(16000,plain,
% 6.46/6.65 ((mult(mult(mult(a, a), mult(a, c)), b) = mult(mult(a, a), mult(mult(a, c), b))) | (~(mult(mult(a, mult(a, c)), b) = mult(a, mult(mult(a, c), b)))) | (~(mult(mult(a, a), mult(a, c)) = mult(a, mult(a, mult(a, c))))) | (mult(mult(a, mult(mult(b, c), a)), a) = mult(a, mult(a, mult(mult(b, c), a))))),
% 6.46/6.65 inference(unit_resolution,[status(thm)],[15999, 8955, 10605])).
% 6.46/6.65 tff(16001,plain,
% 6.46/6.65 (mult(mult(mult(a, a), mult(a, c)), b) = mult(mult(a, a), mult(mult(a, c), b))),
% 6.46/6.65 inference(unit_resolution,[status(thm)],[16000, 15970, 15857, 15921])).
% 6.46/6.65 tff(16002,plain,
% 6.46/6.65 ($false),
% 6.46/6.65 inference(unit_resolution,[status(thm)],[16001, 15940])).
% 6.46/6.65 tff(16003,plain,(mult(mult(mult(a, b), mult(a, c)), a) = mult(mult(a, b), mult(a, mult(a, c)))), inference(lemma,lemma(discharge,[]))).
% 6.46/6.65 tff(16004,plain,
% 6.46/6.65 (mult(mult(mult(a, b), a), mult(a, c)) = mult(mult(a, b), mult(mult(a, c), a))),
% 6.46/6.65 inference(unit_resolution,[status(thm)],[10724, 16003])).
% 6.46/6.65 tff(16005,plain,
% 6.46/6.65 (mult(b, mult(mult(mult(a, b), a), mult(a, c))) = mult(b, mult(mult(a, b), mult(mult(a, c), a)))),
% 6.46/6.65 inference(monotonicity,[status(thm)],[16004])).
% 6.46/6.65 tff(16006,plain,
% 6.46/6.65 (mult(b, mult(mult(a, b), mult(mult(a, c), a))) = mult(b, mult(mult(mult(a, b), a), mult(a, c)))),
% 6.46/6.65 inference(symmetry,[status(thm)],[16005])).
% 6.46/6.65 tff(16007,plain,
% 6.46/6.65 (~(mult(mult(mult(b, mult(c, a)), a), mult(b, a)) = mult(mult(b, mult(c, a)), mult(a, mult(b, a))))),
% 6.46/6.65 inference(unit_resolution,[status(thm)],[15359, 11885])).
% 6.46/6.65 tff(16008,plain,
% 6.46/6.65 ((~![B: $i, A: $i] : (ld(A, mult(A, B)) = B)) | (ld(mult(b, a), mult(mult(b, a), mult(mult(b, a), mult(c, a)))) = mult(mult(b, a), mult(c, a)))),
% 6.46/6.65 inference(quant_inst,[status(thm)],[])).
% 6.46/6.65 tff(16009,plain,
% 6.46/6.65 (ld(mult(b, a), mult(mult(b, a), mult(mult(b, a), mult(c, a)))) = mult(mult(b, a), mult(c, a))),
% 6.46/6.65 inference(unit_resolution,[status(thm)],[16008, 9])).
% 6.46/6.65 tff(16010,plain,
% 6.46/6.65 (mult(mult(b, a), mult(mult(b, mult(c, a)), a)) = mult(mult(b, a), mult(mult(b, a), mult(a, c)))),
% 6.46/6.65 inference(symmetry,[status(thm)],[15066])).
% 6.46/6.65 tff(16011,assumption,(~(mult(mult(mult(mult(b, a), a), c), mult(b, a)) = mult(mult(mult(b, a), a), mult(c, mult(b, a))))), introduced(assumption)).
% 6.46/6.65 tff(16012,plain,
% 6.46/6.65 (mult(mult(a, c), mult(b, a)) = mult(mult(mult(a, c), b), a)),
% 6.46/6.65 inference(symmetry,[status(thm)],[15794])).
% 6.46/6.65 tff(16013,assumption,(~(mult(mult(mult(a, c), a), b) = mult(mult(a, c), mult(a, b)))), introduced(assumption)).
% 6.46/6.65 tff(16014,plain,
% 6.46/6.65 ((mult(mult(a, c), mult(a, b)) = mult(mult(a, c), mult(b, a))) <=> (mult(mult(mult(a, c), b), a) = mult(mult(a, c), mult(a, b)))),
% 6.46/6.65 inference(symmetry,[status(thm)],[3584])).
% 6.46/6.65 tff(16015,plain,
% 6.46/6.65 (mult(a, mult(mult(c, a), b)) = mult(mult(a, c), mult(a, b))),
% 6.46/6.65 inference(transitivity,[status(thm)],[2024, 989])).
% 6.46/6.65 tff(16016,plain,
% 6.46/6.65 (mult(b, mult(mult(a, c), a)) = mult(mult(b, a), mult(a, c))),
% 6.46/6.65 inference(symmetry,[status(thm)],[4655])).
% 6.46/6.65 tff(16017,plain,
% 6.46/6.65 (mult(b, mult(mult(a, c), a)) = mult(b, mult(a, mult(c, a)))),
% 6.46/6.65 inference(transitivity,[status(thm)],[16016, 5732, 4656, 3635])).
% 6.46/6.65 tff(16018,plain,
% 6.46/6.65 (ld(b, mult(b, mult(mult(a, c), a))) = ld(b, mult(b, mult(a, mult(c, a))))),
% 6.46/6.65 inference(monotonicity,[status(thm)],[16017])).
% 6.46/6.65 tff(16019,plain,
% 6.46/6.65 (ld(b, mult(b, mult(a, mult(c, a)))) = ld(b, mult(b, mult(mult(a, c), a)))),
% 6.46/6.65 inference(symmetry,[status(thm)],[16018])).
% 6.46/6.65 tff(16020,plain,
% 6.46/6.65 (mult(a, mult(c, a)) = mult(mult(a, c), a)),
% 6.46/6.65 inference(transitivity,[status(thm)],[3780, 16019, 3447])).
% 6.46/6.65 tff(16021,plain,
% 6.46/6.65 (mult(mult(a, mult(c, a)), b) = mult(mult(mult(a, c), a), b)),
% 6.46/6.65 inference(monotonicity,[status(thm)],[16020])).
% 6.46/6.65 tff(16022,plain,
% 6.46/6.65 (mult(mult(a, mult(c, a)), b) = mult(mult(a, c), mult(b, a))),
% 6.46/6.65 inference(transitivity,[status(thm)],[16021, 1362])).
% 6.46/6.65 tff(16023,plain,
% 6.46/6.65 ((mult(mult(a, mult(c, a)), b) = mult(a, mult(mult(c, a), b))) <=> (mult(mult(a, c), mult(b, a)) = mult(mult(a, c), mult(a, b)))),
% 6.46/6.65 inference(monotonicity,[status(thm)],[16022, 16015])).
% 6.46/6.65 tff(16024,plain,
% 6.46/6.65 ((mult(mult(a, mult(c, a)), b) = mult(a, mult(mult(c, a), b))) <=> (mult(mult(a, c), mult(a, b)) = mult(mult(a, c), mult(b, a)))),
% 6.46/6.65 inference(transitivity,[status(thm)],[16023, 3574])).
% 6.46/6.65 tff(16025,plain,
% 6.46/6.65 (mult(a, mult(c, mult(a, b))) = mult(a, mult(mult(c, a), b))),
% 6.46/6.65 inference(symmetry,[status(thm)],[2024])).
% 6.46/6.65 tff(16026,plain,
% 6.46/6.65 (mult(mult(a, c), mult(a, b)) = mult(a, mult(mult(c, a), b))),
% 6.46/6.65 inference(transitivity,[status(thm)],[988, 16025])).
% 6.46/6.65 tff(16027,plain,
% 6.46/6.65 (mult(mult(mult(a, c), a), b) = mult(mult(a, mult(c, a)), b)),
% 6.46/6.65 inference(symmetry,[status(thm)],[16021])).
% 6.46/6.65 tff(16028,plain,
% 6.46/6.65 ((mult(mult(mult(a, c), a), b) = mult(mult(a, c), mult(a, b))) <=> (mult(mult(a, mult(c, a)), b) = mult(a, mult(mult(c, a), b)))),
% 6.46/6.65 inference(monotonicity,[status(thm)],[16027, 16026])).
% 6.46/6.65 tff(16029,plain,
% 6.46/6.65 ((mult(mult(mult(a, c), a), b) = mult(mult(a, c), mult(a, b))) <=> (mult(mult(mult(a, c), b), a) = mult(mult(a, c), mult(a, b)))),
% 6.46/6.65 inference(transitivity,[status(thm)],[16028, 16024, 16014])).
% 6.46/6.65 tff(16030,plain,
% 6.46/6.65 ((~(mult(mult(mult(a, c), a), b) = mult(mult(a, c), mult(a, b)))) <=> (~(mult(mult(mult(a, c), b), a) = mult(mult(a, c), mult(a, b))))),
% 6.46/6.65 inference(monotonicity,[status(thm)],[16029])).
% 6.46/6.65 tff(16031,plain,
% 6.46/6.65 (~(mult(mult(mult(a, c), b), a) = mult(mult(a, c), mult(a, b)))),
% 6.46/6.65 inference(modus_ponens,[status(thm)],[16013, 16030])).
% 6.46/6.65 tff(16032,plain,
% 6.46/6.65 ((~(mult(mult(mult(a, c), a), b) = mult(mult(a, c), mult(a, b)))) | (~(mult(mult(mult(a, c), b), a) = mult(mult(a, c), mult(b, a))))),
% 6.46/6.65 inference(unit_resolution,[status(thm)],[1238, 16013])).
% 6.46/6.65 tff(16033,plain,
% 6.46/6.65 (~((~(mult(mult(mult(a, c), a), b) = mult(mult(a, c), mult(b, a)))) | (~(mult(mult(mult(a, c), b), a) = mult(mult(a, c), mult(a, b)))))),
% 6.46/6.65 inference(unit_resolution,[status(thm)],[589, 16032])).
% 6.46/6.65 tff(16034,plain,
% 6.46/6.65 (mult(mult(mult(a, c), b), a) = mult(mult(a, c), mult(a, b))),
% 6.46/6.65 inference(unit_resolution,[status(thm)],[591, 16033])).
% 6.46/6.65 tff(16035,plain,
% 6.46/6.65 ($false),
% 6.46/6.65 inference(unit_resolution,[status(thm)],[16034, 16031])).
% 6.46/6.65 tff(16036,plain,((mult(mult(mult(a, c), a), b) = mult(mult(a, c), mult(a, b))) | (~(mult(mult(mult(a, c), a), b) = mult(mult(a, c), mult(b, a)))) | (~(mult(mult(b, a), mult(a, c)) = mult(b, mult(mult(a, c), a)))) | (~(mult(mult(mult(b, a), c), a) = mult(mult(b, a), mult(a, c)))) | (~(mult(mult(b, mult(c, a)), a) = mult(b, mult(a, mult(c, a))))) | (~(mult(mult(a, c), mult(a, b)) = mult(a, mult(c, mult(a, b))))) | (~(mult(mult(c, a), b) = mult(c, mult(a, b)))) | (~(mult(mult(mult(a, c), mult(b, a)), b) = mult(mult(a, c), mult(mult(b, a), b))))), inference(lemma,lemma(discharge,[]))).
% 6.46/6.65 tff(16037,plain,
% 6.46/6.65 ((mult(mult(mult(a, c), a), b) = mult(mult(a, c), mult(a, b))) | (~(mult(mult(mult(a, c), a), b) = mult(mult(a, c), mult(b, a)))) | (~(mult(mult(b, a), mult(a, c)) = mult(b, mult(mult(a, c), a)))) | (~(mult(mult(mult(b, a), c), a) = mult(mult(b, a), mult(a, c)))) | (~(mult(mult(a, c), mult(a, b)) = mult(a, mult(c, mult(a, b))))) | (~(mult(mult(c, a), b) = mult(c, mult(a, b)))) | (~(mult(mult(mult(a, c), mult(b, a)), b) = mult(mult(a, c), mult(mult(b, a), b))))),
% 6.46/6.65 inference(unit_resolution,[status(thm)],[16036, 4679])).
% 6.46/6.65 tff(16038,plain,
% 6.46/6.65 ((mult(mult(mult(a, c), a), b) = mult(mult(a, c), mult(a, b))) | (~(mult(mult(mult(a, c), a), b) = mult(mult(a, c), mult(b, a)))) | (~(mult(mult(a, c), mult(a, b)) = mult(a, mult(c, mult(a, b))))) | (~(mult(mult(c, a), b) = mult(c, mult(a, b)))) | (~(mult(mult(mult(a, c), mult(b, a)), b) = mult(mult(a, c), mult(mult(b, a), b))))),
% 6.46/6.65 inference(unit_resolution,[status(thm)],[16037, 3530, 4651])).
% 6.46/6.65 tff(16039,plain,
% 6.46/6.65 (~(mult(mult(mult(a, c), a), b) = mult(mult(a, c), mult(b, a)))),
% 6.46/6.65 inference(unit_resolution,[status(thm)],[16038, 16013, 988, 268, 3578])).
% 6.46/6.65 tff(16040,plain,
% 6.46/6.65 ($false),
% 6.46/6.65 inference(unit_resolution,[status(thm)],[954, 16033, 16039])).
% 6.46/6.65 tff(16041,plain,((mult(mult(mult(a, c), a), b) = mult(mult(a, c), mult(a, b))) | (~(mult(mult(a, c), mult(a, b)) = mult(a, mult(c, mult(a, b))))) | (~(mult(mult(c, a), b) = mult(c, mult(a, b)))) | (~(mult(mult(mult(a, c), mult(b, a)), b) = mult(mult(a, c), mult(mult(b, a), b))))), inference(lemma,lemma(discharge,[]))).
% 6.46/6.65 tff(16042,plain,
% 6.46/6.65 (mult(mult(mult(a, c), a), b) = mult(mult(a, c), mult(a, b))),
% 6.46/6.65 inference(unit_resolution,[status(thm)],[16041, 15795, 15757, 15733])).
% 6.46/6.65 tff(16043,plain,
% 6.46/6.65 ((mult(mult(mult(a, c), a), b) = mult(mult(a, c), mult(b, a))) <=> (mult(mult(a, c), mult(a, b)) = mult(mult(mult(a, c), b), a))),
% 6.46/6.65 inference(monotonicity,[status(thm)],[16042, 16012])).
% 6.46/6.65 tff(16044,plain,
% 6.46/6.65 ((mult(mult(mult(a, c), a), b) = mult(mult(a, c), mult(b, a))) <=> (mult(mult(mult(a, c), b), a) = mult(mult(a, c), mult(a, b)))),
% 6.46/6.65 inference(transitivity,[status(thm)],[16043, 2233])).
% 6.46/6.65 tff(16045,plain,
% 6.46/6.65 ((~(mult(mult(mult(a, c), a), b) = mult(mult(a, c), mult(b, a)))) <=> (~(mult(mult(mult(a, c), b), a) = mult(mult(a, c), mult(a, b))))),
% 6.46/6.65 inference(monotonicity,[status(thm)],[16044])).
% 6.46/6.65 tff(16046,plain,
% 6.46/6.65 (mult(mult(a, c), mult(b, a)) = mult(a, mult(c, mult(b, a)))),
% 6.46/6.65 inference(unit_resolution,[status(thm)],[15764, 15797])).
% 6.46/6.65 tff(16047,plain,
% 6.46/6.65 (mult(a, mult(mult(c, a), b)) = mult(a, mult(c, mult(a, b)))),
% 6.46/6.65 inference(monotonicity,[status(thm)],[15733])).
% 6.46/6.65 tff(16048,plain,
% 6.46/6.65 (mult(a, mult(c, mult(a, b))) = mult(a, mult(mult(c, a), b))),
% 6.46/6.65 inference(symmetry,[status(thm)],[16047])).
% 6.46/6.65 tff(16049,plain,
% 6.46/6.65 (mult(mult(a, mult(c, a)), b) = mult(a, mult(mult(c, a), b))),
% 6.46/6.65 inference(transitivity,[status(thm)],[8214, 16042, 15757, 16048])).
% 6.46/6.65 tff(16050,plain,
% 6.46/6.65 ((mult(mult(c, b), a) = mult(c, mult(a, b))) | (~(mult(mult(a, mult(c, a)), b) = mult(a, mult(mult(c, a), b)))) | (~(mult(mult(mult(a, c), a), b) = mult(mult(a, c), mult(b, a)))) | (~(mult(mult(a, c), mult(b, a)) = mult(a, mult(c, mult(b, a)))))),
% 6.46/6.65 inference(unit_resolution,[status(thm)],[4872, 4679])).
% 6.46/6.65 tff(16051,plain,
% 6.46/6.65 (~(mult(mult(mult(a, c), a), b) = mult(mult(a, c), mult(b, a)))),
% 6.46/6.65 inference(unit_resolution,[status(thm)],[16050, 16049, 15796, 16046])).
% 6.46/6.65 tff(16052,plain,
% 6.46/6.65 (~(mult(mult(mult(a, c), b), a) = mult(mult(a, c), mult(a, b)))),
% 6.46/6.65 inference(modus_ponens,[status(thm)],[16051, 16045])).
% 6.46/6.65 tff(16053,plain,
% 6.46/6.65 (mult(mult(a, mult(a, c)), b) = mult(a, mult(mult(a, c), b))),
% 6.46/6.65 inference(unit_resolution,[status(thm)],[10453, 15824, 15801])).
% 6.46/6.65 tff(16054,plain,
% 6.46/6.65 (mult(mult(mult(a, a), c), b) = mult(mult(a, a), mult(c, b))),
% 6.46/6.65 inference(unit_resolution,[status(thm)],[10463, 15823, 15756])).
% 6.46/6.65 tff(16055,plain,
% 6.46/6.65 ((~![B: $i, A: $i] : (ld(A, mult(A, B)) = B)) | (ld(a, mult(a, mult(a, c))) = mult(a, c))),
% 6.46/6.65 inference(quant_inst,[status(thm)],[])).
% 6.46/6.65 tff(16056,plain,
% 6.46/6.65 (ld(a, mult(a, mult(a, c))) = mult(a, c)),
% 6.46/6.65 inference(unit_resolution,[status(thm)],[16055, 9])).
% 6.46/6.65 tff(16057,assumption,(mult(mult(a, mult(a, c)), a) = mult(a, mult(a, mult(a, c)))), introduced(assumption)).
% 6.46/6.65 tff(16058,plain,
% 6.46/6.65 (mult(a, mult(c, a)) = mult(mult(a, c), a)),
% 6.46/6.65 inference(transitivity,[status(thm)],[3780, 3493, 3447])).
% 6.46/6.65 tff(16059,plain,
% 6.46/6.65 (mult(a, mult(a, mult(c, a))) = mult(a, mult(mult(a, c), a))),
% 6.46/6.65 inference(monotonicity,[status(thm)],[16058])).
% 6.46/6.65 tff(16060,plain,
% 6.46/6.65 (mult(a, mult(a, mult(c, a))) = mult(a, mult(a, mult(a, c)))),
% 6.46/6.65 inference(transitivity,[status(thm)],[16059, 5394, 10468, 16057])).
% 6.46/6.65 tff(16061,plain,
% 6.46/6.65 (ld(a, mult(a, mult(a, mult(c, a)))) = ld(a, mult(a, mult(a, mult(a, c))))),
% 6.46/6.65 inference(monotonicity,[status(thm)],[16060])).
% 6.46/6.65 tff(16062,plain,
% 6.46/6.65 (mult(a, mult(c, a)) = mult(a, mult(a, c))),
% 6.46/6.65 inference(transitivity,[status(thm)],[5751, 16061, 5744])).
% 6.46/6.65 tff(16063,plain,
% 6.46/6.65 (ld(a, mult(a, mult(c, a))) = ld(a, mult(a, mult(a, c)))),
% 6.46/6.65 inference(monotonicity,[status(thm)],[16062])).
% 6.46/6.65 tff(16064,plain,
% 6.46/6.65 ((~![B: $i, A: $i] : (ld(A, mult(A, B)) = B)) | (ld(a, mult(a, mult(c, a))) = mult(c, a))),
% 6.46/6.65 inference(quant_inst,[status(thm)],[])).
% 6.46/6.65 tff(16065,plain,
% 6.46/6.65 (ld(a, mult(a, mult(c, a))) = mult(c, a)),
% 6.46/6.65 inference(unit_resolution,[status(thm)],[16064, 9])).
% 6.46/6.65 tff(16066,plain,
% 6.46/6.65 (mult(c, a) = ld(a, mult(a, mult(c, a)))),
% 6.46/6.65 inference(symmetry,[status(thm)],[16065])).
% 6.46/6.65 tff(16067,plain,
% 6.46/6.65 (mult(c, a) = mult(a, c)),
% 6.46/6.65 inference(transitivity,[status(thm)],[16066, 16063, 16056])).
% 6.46/6.65 tff(16068,plain,
% 6.46/6.65 (mult(b, mult(c, a)) = mult(b, mult(a, c))),
% 6.46/6.65 inference(monotonicity,[status(thm)],[16067])).
% 6.46/6.65 tff(16069,plain,
% 6.46/6.65 (mult(b, mult(a, c)) = mult(b, mult(c, a))),
% 6.46/6.65 inference(symmetry,[status(thm)],[16068])).
% 6.46/6.65 tff(16070,plain,
% 6.46/6.65 (mult(mult(b, c), a) = mult(b, mult(c, a))),
% 6.46/6.65 inference(transitivity,[status(thm)],[3449, 16069])).
% 6.46/6.65 tff(16071,plain,
% 6.46/6.65 ($false),
% 6.46/6.65 inference(unit_resolution,[status(thm)],[3450, 16070])).
% 6.46/6.65 tff(16072,plain,((~(mult(mult(a, mult(a, c)), a) = mult(a, mult(a, mult(a, c))))) | (mult(mult(b, c), a) = mult(b, mult(c, a))) | (~(mult(mult(b, c), a) = mult(b, mult(a, c)))) | (~(mult(mult(a, mult(a, c)), b) = mult(a, mult(mult(a, c), b)))) | (~(mult(mult(mult(a, a), c), b) = mult(mult(a, a), mult(c, b)))) | (~(mult(mult(a, a), mult(c, b)) = mult(a, mult(a, mult(c, b))))) | (~(mult(mult(a, c), b) = mult(a, mult(c, b)))) | (~(mult(mult(b, a), c) = mult(b, mult(c, a))))), inference(lemma,lemma(discharge,[]))).
% 6.46/6.65 tff(16073,plain,
% 6.46/6.65 ((~(mult(mult(a, mult(a, c)), a) = mult(a, mult(a, mult(a, c))))) | (mult(mult(b, c), a) = mult(b, mult(c, a))) | (~(mult(mult(b, c), a) = mult(b, mult(a, c)))) | (~(mult(mult(a, mult(a, c)), b) = mult(a, mult(mult(a, c), b)))) | (~(mult(mult(mult(a, a), c), b) = mult(mult(a, a), mult(c, b)))) | (~(mult(mult(a, a), mult(c, b)) = mult(a, mult(a, mult(c, b))))) | (~(mult(mult(a, c), b) = mult(a, mult(c, b))))),
% 6.46/6.65 inference(unit_resolution,[status(thm)],[16072, 3427])).
% 6.46/6.65 tff(16074,plain,
% 6.46/6.65 ((~(mult(mult(a, mult(a, c)), a) = mult(a, mult(a, mult(a, c))))) | (mult(mult(b, c), a) = mult(b, mult(c, a))) | (~(mult(mult(a, mult(a, c)), b) = mult(a, mult(mult(a, c), b)))) | (~(mult(mult(mult(a, a), c), b) = mult(mult(a, a), mult(c, b)))) | (~(mult(mult(a, a), mult(c, b)) = mult(a, mult(a, mult(c, b))))) | (~(mult(mult(a, c), b) = mult(a, mult(c, b))))),
% 6.46/6.65 inference(unit_resolution,[status(thm)],[16073, 3433])).
% 6.46/6.66 tff(16075,plain,
% 6.46/6.66 ((~(mult(mult(a, mult(a, c)), a) = mult(a, mult(a, mult(a, c))))) | (mult(mult(b, c), a) = mult(b, mult(c, a))) | (~(mult(mult(a, mult(a, c)), b) = mult(a, mult(mult(a, c), b)))) | (~(mult(mult(mult(a, a), c), b) = mult(mult(a, a), mult(c, b))))),
% 6.46/6.66 inference(unit_resolution,[status(thm)],[16074, 8185, 8955])).
% 6.46/6.66 tff(16076,plain,
% 6.46/6.66 (~(mult(mult(a, mult(a, c)), a) = mult(a, mult(a, mult(a, c))))),
% 6.46/6.66 inference(unit_resolution,[status(thm)],[16075, 16054, 15825, 16053])).
% 6.46/6.66 tff(16077,plain,
% 6.46/6.66 (mult(mult(a, mult(a, c)), b) = mult(a, mult(mult(a, c), b))),
% 6.46/6.66 inference(unit_resolution,[status(thm)],[10452, 168, 59, 10438])).
% 6.46/6.66 tff(16078,plain,
% 6.46/6.66 (mult(mult(mult(a, a), c), b) = mult(mult(a, a), mult(c, b))),
% 6.46/6.66 inference(unit_resolution,[status(thm)],[10462, 1154, 59, 256])).
% 6.46/6.66 tff(16079,plain,
% 6.46/6.66 (mult(mult(a, mult(a, c)), a) = mult(a, mult(mult(a, c), a))),
% 6.46/6.66 inference(unit_resolution,[status(thm)],[10472, 16077, 8185, 788, 16078])).
% 6.46/6.66 tff(16080,plain,
% 6.46/6.66 (mult(mult(mult(a, a), b), c) = mult(mult(a, a), mult(b, c))),
% 6.46/6.66 inference(unit_resolution,[status(thm)],[10482, 16079, 8185, 788, 16077])).
% 6.46/6.66 tff(16081,plain,
% 6.46/6.66 ((mult(mult(a, c), mult(a, b)) = mult(a, mult(c, mult(a, b)))) | (~(mult(mult(mult(a, a), b), c) = mult(mult(a, a), mult(b, c)))) | (~(mult(mult(a, a), mult(b, c)) = mult(a, mult(a, mult(b, c))))) | (~(mult(mult(a, b), c) = mult(a, mult(b, c))))),
% 6.46/6.66 inference(unit_resolution,[status(thm)],[5119, 4190])).
% 6.46/6.66 tff(16082,plain,
% 6.46/6.66 (mult(mult(a, c), mult(a, b)) = mult(a, mult(c, mult(a, b)))),
% 6.46/6.66 inference(unit_resolution,[status(thm)],[16081, 16080, 59, 1154])).
% 6.46/6.66 tff(16083,plain,
% 6.46/6.66 (mult(mult(mult(a, c), mult(a, b)), a) = mult(mult(mult(mult(a, c), a), b), a)),
% 6.46/6.66 inference(monotonicity,[status(thm)],[8249])).
% 6.46/6.66 tff(16084,plain,
% 6.46/6.66 (mult(mult(mult(a, c), mult(a, b)), a) = mult(mult(a, c), mult(mult(a, b), a))),
% 6.46/6.66 inference(transitivity,[status(thm)],[16083, 1531])).
% 6.46/6.66 tff(16085,plain,
% 6.46/6.66 ($false),
% 6.46/6.66 inference(unit_resolution,[status(thm)],[1546, 16084])).
% 6.46/6.66 tff(16086,plain,((mult(mult(mult(a, c), mult(a, b)), a) = mult(mult(a, c), mult(mult(a, b), a))) | (~(mult(mult(mult(a, c), a), b) = mult(mult(a, c), mult(a, b))))), inference(lemma,lemma(discharge,[]))).
% 6.46/6.66 tff(16087,plain,
% 6.46/6.66 (mult(mult(mult(a, c), mult(a, b)), a) = mult(mult(a, c), mult(mult(a, b), a))),
% 6.46/6.66 inference(unit_resolution,[status(thm)],[16086, 3766])).
% 6.46/6.66 tff(16088,plain,
% 6.46/6.66 ((mult(mult(a, c), mult(mult(a, b), a)) = mult(mult(mult(a, c), mult(a, b)), a)) <=> (mult(mult(mult(a, c), mult(a, b)), a) = mult(mult(a, c), mult(mult(a, b), a)))),
% 6.46/6.66 inference(commutativity,[status(thm)],[])).
% 6.46/6.66 tff(16089,assumption,(~(mult(mult(mult(a, c), a), mult(a, b)) = mult(mult(a, c), mult(a, mult(a, b))))), introduced(assumption)).
% 6.46/6.66 tff(16090,plain,
% 6.46/6.66 (((~(mult(mult(mult(a, c), a), mult(a, b)) = mult(mult(a, c), mult(a, mult(a, b))))) | (~(mult(mult(mult(a, c), mult(a, b)), a) = mult(mult(a, c), mult(mult(a, b), a))))) | (mult(mult(mult(a, c), a), mult(a, b)) = mult(mult(a, c), mult(a, mult(a, b))))),
% 6.46/6.66 inference(tautology,[status(thm)],[])).
% 6.46/6.66 tff(16091,plain,
% 6.46/6.66 ((~(mult(mult(mult(a, c), a), mult(a, b)) = mult(mult(a, c), mult(a, mult(a, b))))) | (~(mult(mult(mult(a, c), mult(a, b)), a) = mult(mult(a, c), mult(mult(a, b), a))))),
% 6.46/6.66 inference(unit_resolution,[status(thm)],[16090, 16089])).
% 6.46/6.66 tff(16092,plain,
% 6.46/6.66 (~((~(mult(mult(mult(a, c), a), mult(a, b)) = mult(mult(a, c), mult(mult(a, b), a)))) | (~(mult(mult(mult(a, c), mult(a, b)), a) = mult(mult(a, c), mult(a, mult(a, b))))))),
% 6.46/6.66 inference(unit_resolution,[status(thm)],[6013, 30, 16091])).
% 6.46/6.66 tff(16093,plain,
% 6.46/6.66 (mult(mult(mult(a, c), mult(a, b)), a) = mult(mult(a, c), mult(a, mult(a, b)))),
% 6.46/6.66 inference(unit_resolution,[status(thm)],[6015, 16092])).
% 6.46/6.66 tff(16094,plain,
% 6.46/6.66 (mult(mult(a, c), mult(a, mult(a, b))) = mult(mult(mult(a, c), mult(a, b)), a)),
% 6.46/6.66 inference(symmetry,[status(thm)],[16093])).
% 6.46/6.66 tff(16095,plain,
% 6.46/6.66 (mult(mult(mult(a, c), a), mult(a, b)) = mult(mult(a, c), mult(mult(a, b), a))),
% 6.46/6.66 inference(unit_resolution,[status(thm)],[6853, 16091])).
% 6.46/6.66 tff(16096,plain,
% 6.46/6.66 ((mult(mult(mult(a, c), a), mult(a, b)) = mult(mult(a, c), mult(a, mult(a, b)))) <=> (mult(mult(a, c), mult(mult(a, b), a)) = mult(mult(mult(a, c), mult(a, b)), a))),
% 6.46/6.66 inference(monotonicity,[status(thm)],[16095, 16094])).
% 6.46/6.66 tff(16097,plain,
% 6.46/6.66 ((mult(mult(mult(a, c), a), mult(a, b)) = mult(mult(a, c), mult(a, mult(a, b)))) <=> (mult(mult(mult(a, c), mult(a, b)), a) = mult(mult(a, c), mult(mult(a, b), a)))),
% 6.46/6.66 inference(transitivity,[status(thm)],[16096, 16088])).
% 6.46/6.66 tff(16098,plain,
% 6.46/6.66 ((mult(mult(mult(a, c), mult(a, b)), a) = mult(mult(a, c), mult(mult(a, b), a))) <=> (mult(mult(mult(a, c), a), mult(a, b)) = mult(mult(a, c), mult(a, mult(a, b))))),
% 6.46/6.66 inference(symmetry,[status(thm)],[16097])).
% 6.46/6.66 tff(16099,plain,
% 6.46/6.66 (mult(mult(mult(a, c), a), mult(a, b)) = mult(mult(a, c), mult(a, mult(a, b)))),
% 6.46/6.66 inference(modus_ponens,[status(thm)],[1533, 16098])).
% 6.46/6.66 tff(16100,plain,
% 6.46/6.66 ($false),
% 6.46/6.66 inference(unit_resolution,[status(thm)],[16089, 16099])).
% 6.46/6.66 tff(16101,plain,((mult(mult(mult(a, c), a), mult(a, b)) = mult(mult(a, c), mult(a, mult(a, b)))) | (~(mult(mult(mult(a, c), mult(a, b)), a) = mult(mult(a, c), mult(mult(a, b), a))))), inference(lemma,lemma(discharge,[]))).
% 6.46/6.66 tff(16102,plain,
% 6.46/6.66 (mult(mult(mult(a, c), a), mult(a, b)) = mult(mult(a, c), mult(a, mult(a, b)))),
% 6.46/6.66 inference(unit_resolution,[status(thm)],[16101, 16087])).
% 6.46/6.66 tff(16103,plain,
% 6.46/6.66 (mult(mult(a, c), mult(a, b)) = mult(a, mult(c, mult(a, b)))),
% 6.46/6.66 inference(unit_resolution,[status(thm)],[16081, 2629, 59, 1154])).
% 6.46/6.66 tff(16104,plain,
% 6.46/6.66 (mult(mult(a, mult(c, a)), b) = mult(a, mult(mult(c, a), b))),
% 6.46/6.66 inference(transitivity,[status(thm)],[8214, 3766, 16103, 16025])).
% 6.46/6.66 tff(16105,plain,
% 6.46/6.66 ((mult(mult(a, mult(c, a)), b) = mult(a, mult(b, mult(c, a)))) <=> (mult(a, mult(mult(c, a), b)) = mult(mult(a, b), mult(c, a)))),
% 6.46/6.66 inference(monotonicity,[status(thm)],[16104, 3818])).
% 6.46/6.66 tff(16106,plain,
% 6.46/6.66 ((mult(mult(a, mult(c, a)), b) = mult(a, mult(b, mult(c, a)))) <=> (mult(mult(a, b), mult(c, a)) = mult(a, mult(mult(c, a), b)))),
% 6.46/6.66 inference(transitivity,[status(thm)],[16105, 2665])).
% 6.46/6.66 tff(16107,plain,
% 6.46/6.66 ((mult(mult(a, b), mult(c, a)) = mult(a, mult(mult(c, a), b))) <=> (mult(mult(a, mult(c, a)), b) = mult(a, mult(b, mult(c, a))))),
% 6.46/6.66 inference(symmetry,[status(thm)],[16106])).
% 6.46/6.66 tff(16108,plain,
% 6.46/6.66 ((~(mult(mult(a, b), mult(c, a)) = mult(a, mult(mult(c, a), b)))) <=> (~(mult(mult(a, mult(c, a)), b) = mult(a, mult(b, mult(c, a)))))),
% 6.46/6.66 inference(monotonicity,[status(thm)],[16107])).
% 6.46/6.66 tff(16109,plain,
% 6.46/6.66 (~(mult(mult(a, mult(c, a)), b) = mult(a, mult(b, mult(c, a))))),
% 6.46/6.66 inference(modus_ponens,[status(thm)],[2750, 16108])).
% 6.46/6.66 tff(16110,assumption,(mult(mult(mult(a, c), a), mult(a, b)) = mult(mult(a, c), mult(a, mult(a, b)))), introduced(assumption)).
% 6.46/6.66 tff(16111,plain,
% 6.46/6.66 (mult(mult(c, a), mult(a, b)) = mult(c, mult(a, mult(a, b)))),
% 6.46/6.66 inference(unit_resolution,[status(thm)],[6745, 268])).
% 6.46/6.66 tff(16112,plain,
% 6.46/6.66 (mult(mult(a, b), mult(c, a)) = mult(mult(a, mult(b, a)), c)),
% 6.46/6.66 inference(transitivity,[status(thm)],[2432, 9069])).
% 6.46/6.66 tff(16113,plain,
% 6.46/6.66 ((mult(mult(a, b), mult(c, a)) = mult(a, mult(b, mult(c, a)))) <=> (mult(mult(a, mult(b, a)), c) = mult(a, mult(mult(b, a), c)))),
% 6.46/6.66 inference(monotonicity,[status(thm)],[16112, 5246])).
% 6.46/6.66 tff(16114,plain,
% 6.46/6.66 (mult(mult(a, mult(b, a)), c) = mult(a, mult(mult(b, a), c))),
% 6.46/6.66 inference(modus_ponens,[status(thm)],[2753, 16113])).
% 6.46/6.66 tff(16115,plain,
% 6.46/6.66 ((~![B: $i, A: $i] : (ld(A, mult(A, B)) = B)) | (ld(a, mult(a, mult(a, mult(mult(a, b), c)))) = mult(a, mult(mult(a, b), c)))),
% 6.46/6.66 inference(quant_inst,[status(thm)],[])).
% 6.46/6.66 tff(16116,plain,
% 6.46/6.66 (ld(a, mult(a, mult(a, mult(mult(a, b), c)))) = mult(a, mult(mult(a, b), c))),
% 6.46/6.66 inference(unit_resolution,[status(thm)],[16115, 9])).
% 6.46/6.66 tff(16117,plain,
% 6.46/6.66 (mult(mult(a, mult(a, b)), c) = mult(mult(mult(a, a), b), c)),
% 6.46/6.66 inference(transitivity,[status(thm)],[256, 2576, 1194, 2901])).
% 6.46/6.66 tff(16118,plain,
% 6.46/6.66 (rd(mult(mult(a, mult(a, b)), c), c) = rd(mult(mult(mult(a, a), b), c), c)),
% 6.46/6.66 inference(monotonicity,[status(thm)],[16117])).
% 6.46/6.66 tff(16119,plain,
% 6.46/6.66 (mult(a, mult(a, b)) = rd(mult(mult(a, mult(a, b)), c), c)),
% 6.46/6.66 inference(symmetry,[status(thm)],[1431])).
% 6.46/6.66 tff(16120,plain,
% 6.46/6.66 (mult(mult(a, b), a) = mult(mult(a, a), b)),
% 6.46/6.66 inference(transitivity,[status(thm)],[3542, 16119, 16118, 2889])).
% 6.46/6.66 tff(16121,plain,
% 6.46/6.66 ((mult(mult(a, b), a) = mult(a, mult(b, a))) <=> (mult(mult(a, a), b) = mult(a, mult(b, a)))),
% 6.46/6.66 inference(monotonicity,[status(thm)],[16120])).
% 6.46/6.66 tff(16122,plain,
% 6.46/6.66 ((mult(mult(a, a), b) = mult(a, mult(b, a))) <=> (mult(mult(a, b), a) = mult(a, mult(b, a)))),
% 6.46/6.66 inference(symmetry,[status(thm)],[16121])).
% 6.46/6.66 tff(16123,plain,
% 6.46/6.66 (mult(mult(a, b), a) = mult(a, mult(b, a))),
% 6.46/6.66 inference(modus_ponens,[status(thm)],[3540, 16122])).
% 6.46/6.66 tff(16124,plain,
% 6.46/6.66 ($false),
% 6.46/6.66 inference(unit_resolution,[status(thm)],[3537, 16123])).
% 6.46/6.66 tff(16125,plain,((mult(mult(a, b), a) = mult(a, mult(b, a))) | (~(mult(mult(mult(a, a), b), c) = mult(mult(a, a), mult(b, c)))) | (~(mult(mult(a, a), mult(b, c)) = mult(a, mult(a, mult(b, c))))) | (~(mult(mult(a, mult(a, b)), c) = mult(a, mult(mult(a, b), c)))) | (~(mult(mult(a, b), c) = mult(a, mult(b, c))))), inference(lemma,lemma(discharge,[]))).
% 6.46/6.66 tff(16126,plain,
% 6.46/6.66 (mult(mult(a, b), a) = mult(a, mult(b, a))),
% 6.46/6.66 inference(unit_resolution,[status(thm)],[16125, 2629, 1154, 256, 59])).
% 6.46/6.66 tff(16127,plain,
% 6.46/6.66 (mult(mult(mult(a, b), a), c) = mult(mult(a, mult(b, a)), c)),
% 6.46/6.66 inference(monotonicity,[status(thm)],[16126])).
% 6.46/6.66 tff(16128,plain,
% 6.46/6.66 (mult(mult(a, mult(b, a)), c) = mult(mult(mult(a, b), a), c)),
% 6.46/6.66 inference(symmetry,[status(thm)],[16127])).
% 6.46/6.66 tff(16129,plain,
% 6.46/6.66 (mult(a, mult(mult(b, a), c)) = mult(mult(a, mult(b, a)), c)),
% 6.46/6.66 inference(symmetry,[status(thm)],[1435])).
% 6.46/6.66 tff(16130,plain,
% 6.46/6.66 (mult(a, mult(b, mult(c, a))) = mult(mult(a, b), mult(c, a))),
% 6.46/6.66 inference(transitivity,[status(thm)],[5246, 16129, 16128, 2431])).
% 6.46/6.66 tff(16131,plain,
% 6.46/6.66 (mult(a, mult(a, mult(b, mult(c, a)))) = mult(a, mult(mult(a, b), mult(c, a)))),
% 6.46/6.66 inference(monotonicity,[status(thm)],[16130])).
% 6.46/6.66 tff(16132,plain,
% 6.46/6.66 (mult(a, mult(mult(a, b), mult(c, a))) = mult(a, mult(a, mult(b, mult(c, a))))),
% 6.46/6.66 inference(symmetry,[status(thm)],[16131])).
% 6.46/6.66 tff(16133,plain,
% 6.46/6.66 (~((~(mult(mult(a, mult(a, b)), mult(c, a)) = mult(a, mult(mult(c, a), mult(a, b))))) | (~(mult(mult(a, mult(c, a)), mult(a, b)) = mult(a, mult(mult(a, b), mult(c, a))))))),
% 6.46/6.66 inference(unit_resolution,[status(thm)],[13318, 10868])).
% 6.46/6.66 tff(16134,plain,
% 6.46/6.66 (mult(mult(a, mult(c, a)), mult(a, b)) = mult(a, mult(mult(a, b), mult(c, a)))),
% 6.46/6.66 inference(unit_resolution,[status(thm)],[10877, 16133])).
% 6.46/6.66 tff(16135,plain,
% 6.46/6.66 (mult(b, mult(a, mult(c, a))) = mult(b, mult(mult(a, c), a))),
% 6.46/6.66 inference(transitivity,[status(thm)],[4857, 4657, 5731, 4655])).
% 6.46/6.66 tff(16136,plain,
% 6.46/6.66 (ld(b, mult(b, mult(a, mult(c, a)))) = ld(b, mult(b, mult(mult(a, c), a)))),
% 6.46/6.66 inference(monotonicity,[status(thm)],[16135])).
% 6.46/6.66 tff(16137,plain,
% 6.46/6.66 (ld(b, mult(b, mult(mult(a, c), a))) = ld(b, mult(b, mult(a, mult(c, a))))),
% 6.46/6.66 inference(symmetry,[status(thm)],[16136])).
% 6.46/6.66 tff(16138,plain,
% 6.46/6.66 (mult(mult(a, c), a) = mult(a, mult(c, a))),
% 6.46/6.66 inference(transitivity,[status(thm)],[3638, 16137, 3698])).
% 6.46/6.66 tff(16139,plain,
% 6.46/6.66 (mult(mult(mult(a, c), a), mult(a, b)) = mult(mult(a, mult(c, a)), mult(a, b))),
% 6.46/6.66 inference(monotonicity,[status(thm)],[16138])).
% 6.46/6.66 tff(16140,plain,
% 6.46/6.66 (mult(mult(a, c), mult(a, mult(a, b))) = mult(mult(mult(a, c), a), mult(a, b))),
% 6.46/6.66 inference(symmetry,[status(thm)],[16110])).
% 6.46/6.66 tff(16141,plain,
% 6.46/6.66 (rd(mult(mult(mult(a, a), b), c), c) = rd(mult(mult(a, mult(a, b)), c), c)),
% 6.46/6.66 inference(symmetry,[status(thm)],[16118])).
% 6.46/6.66 tff(16142,plain,
% 6.46/6.66 (mult(mult(a, a), b) = mult(a, mult(a, b))),
% 6.46/6.66 inference(transitivity,[status(thm)],[2890, 16141, 1431])).
% 6.46/6.66 tff(16143,plain,
% 6.46/6.66 (mult(mult(a, c), mult(mult(a, a), b)) = mult(mult(a, c), mult(a, mult(a, b)))),
% 6.46/6.66 inference(monotonicity,[status(thm)],[16142])).
% 6.46/6.66 tff(16144,plain,
% 6.46/6.66 (mult(a, mult(a, b)) = mult(mult(a, a), b)),
% 6.46/6.66 inference(transitivity,[status(thm)],[16119, 16118, 2889])).
% 6.46/6.66 tff(16145,plain,
% 6.46/6.66 (mult(c, mult(a, mult(a, b))) = mult(c, mult(mult(a, a), b))),
% 6.46/6.66 inference(monotonicity,[status(thm)],[16144])).
% 6.46/6.66 tff(16146,plain,
% 6.46/6.66 (mult(mult(c, a), mult(a, b)) = mult(c, mult(mult(a, a), b))),
% 6.46/6.66 inference(transitivity,[status(thm)],[9883, 16145])).
% 6.46/6.66 tff(16147,plain,
% 6.46/6.66 (mult(a, mult(mult(c, a), mult(a, b))) = mult(a, mult(c, mult(mult(a, a), b)))),
% 6.46/6.66 inference(monotonicity,[status(thm)],[16146])).
% 6.46/6.66 tff(16148,plain,
% 6.46/6.66 (mult(a, mult(c, mult(mult(a, a), b))) = mult(a, mult(mult(c, a), mult(a, b)))),
% 6.46/6.66 inference(symmetry,[status(thm)],[16147])).
% 6.46/6.66 tff(16149,plain,
% 6.46/6.66 (mult(mult(a, c), mult(mult(a, a), b)) = mult(mult(a, mult(c, a)), mult(a, b))),
% 6.46/6.66 inference(transitivity,[status(thm)],[16143, 16140, 16139])).
% 6.46/6.66 tff(16150,plain,
% 6.46/6.66 ((mult(mult(a, c), mult(mult(a, a), b)) = mult(a, mult(c, mult(mult(a, a), b)))) <=> (mult(mult(a, mult(c, a)), mult(a, b)) = mult(a, mult(mult(c, a), mult(a, b))))),
% 6.46/6.66 inference(monotonicity,[status(thm)],[16149, 16148])).
% 6.46/6.66 tff(16151,plain,
% 6.46/6.66 ((mult(mult(a, mult(c, a)), mult(a, b)) = mult(a, mult(mult(c, a), mult(a, b)))) <=> (mult(mult(a, c), mult(mult(a, a), b)) = mult(a, mult(c, mult(mult(a, a), b))))),
% 6.46/6.66 inference(symmetry,[status(thm)],[16150])).
% 6.46/6.66 tff(16152,plain,
% 6.46/6.66 ((~(mult(mult(a, mult(c, a)), mult(a, b)) = mult(a, mult(mult(c, a), mult(a, b))))) <=> (~(mult(mult(a, c), mult(mult(a, a), b)) = mult(a, mult(c, mult(mult(a, a), b)))))),
% 6.46/6.66 inference(monotonicity,[status(thm)],[16151])).
% 6.46/6.66 tff(16153,plain,
% 6.46/6.66 ((mult(a, mult(mult(c, a), mult(a, b))) = mult(mult(a, mult(c, a)), mult(a, b))) <=> (mult(mult(a, mult(c, a)), mult(a, b)) = mult(a, mult(mult(c, a), mult(a, b))))),
% 6.46/6.66 inference(commutativity,[status(thm)],[])).
% 6.46/6.66 tff(16154,plain,
% 6.46/6.66 (mult(a, mult(mult(a, b), mult(c, a))) = mult(mult(a, mult(c, a)), mult(a, b))),
% 6.46/6.66 inference(symmetry,[status(thm)],[16134])).
% 6.46/6.66 tff(16155,plain,
% 6.46/6.66 (mult(mult(a, mult(a, b)), mult(c, a)) = mult(a, mult(mult(c, a), mult(a, b)))),
% 6.46/6.66 inference(unit_resolution,[status(thm)],[13314, 10868])).
% 6.46/6.66 tff(16156,plain,
% 6.46/6.66 ((mult(mult(a, mult(a, b)), mult(c, a)) = mult(a, mult(mult(a, b), mult(c, a)))) <=> (mult(a, mult(mult(c, a), mult(a, b))) = mult(mult(a, mult(c, a)), mult(a, b)))),
% 6.46/6.66 inference(monotonicity,[status(thm)],[16155, 16154])).
% 6.46/6.66 tff(16157,plain,
% 6.46/6.66 ((mult(mult(a, mult(a, b)), mult(c, a)) = mult(a, mult(mult(a, b), mult(c, a)))) <=> (mult(mult(a, mult(c, a)), mult(a, b)) = mult(a, mult(mult(c, a), mult(a, b))))),
% 6.46/6.66 inference(transitivity,[status(thm)],[16156, 16153])).
% 6.46/6.66 tff(16158,plain,
% 6.46/6.66 ((~(mult(mult(a, mult(a, b)), mult(c, a)) = mult(a, mult(mult(a, b), mult(c, a))))) <=> (~(mult(mult(a, mult(c, a)), mult(a, b)) = mult(a, mult(mult(c, a), mult(a, b)))))),
% 6.46/6.66 inference(monotonicity,[status(thm)],[16157])).
% 6.46/6.66 tff(16159,plain,
% 6.46/6.66 (~(mult(mult(a, mult(c, a)), mult(a, b)) = mult(a, mult(mult(c, a), mult(a, b))))),
% 6.46/6.66 inference(modus_ponens,[status(thm)],[10866, 16158])).
% 6.46/6.66 tff(16160,plain,
% 6.46/6.66 (~(mult(mult(a, c), mult(mult(a, a), b)) = mult(a, mult(c, mult(mult(a, a), b))))),
% 6.46/6.66 inference(modus_ponens,[status(thm)],[16159, 16152])).
% 6.46/6.66 tff(16161,plain,
% 6.46/6.66 (((~(mult(mult(a, c), mult(mult(a, a), b)) = mult(a, mult(c, mult(mult(a, a), b))))) | (~(mult(mult(a, mult(mult(a, a), b)), c) = mult(a, mult(mult(mult(a, a), b), c))))) | (mult(mult(a, c), mult(mult(a, a), b)) = mult(a, mult(c, mult(mult(a, a), b))))),
% 6.46/6.66 inference(tautology,[status(thm)],[])).
% 6.46/6.66 tff(16162,plain,
% 6.46/6.66 ((~(mult(mult(a, c), mult(mult(a, a), b)) = mult(a, mult(c, mult(mult(a, a), b))))) | (~(mult(mult(a, mult(mult(a, a), b)), c) = mult(a, mult(mult(mult(a, a), b), c))))),
% 6.46/6.66 inference(unit_resolution,[status(thm)],[16161, 16160])).
% 6.46/6.66 tff(16163,plain,
% 6.46/6.66 (((~![X0: $i, X1: $i, X2: $i] : ((~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X2, X1)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X1, X2)))))) | (~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X1, X2)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X2, X1)))))))) | ((~((~(mult(mult(a, c), mult(mult(a, a), b)) = mult(a, mult(mult(mult(a, a), b), c)))) | (~(mult(mult(a, mult(mult(a, a), b)), c) = mult(a, mult(c, mult(mult(a, a), b))))))) | (~((~(mult(mult(a, c), mult(mult(a, a), b)) = mult(a, mult(c, mult(mult(a, a), b))))) | (~(mult(mult(a, mult(mult(a, a), b)), c) = mult(a, mult(mult(mult(a, a), b), c)))))))) <=> ((~![X0: $i, X1: $i, X2: $i] : ((~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X2, X1)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X1, X2)))))) | (~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X1, X2)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X2, X1)))))))) | (~((~(mult(mult(a, c), mult(mult(a, a), b)) = mult(a, mult(mult(mult(a, a), b), c)))) | (~(mult(mult(a, mult(mult(a, a), b)), c) = mult(a, mult(c, mult(mult(a, a), b))))))) | (~((~(mult(mult(a, c), mult(mult(a, a), b)) = mult(a, mult(c, mult(mult(a, a), b))))) | (~(mult(mult(a, mult(mult(a, a), b)), c) = mult(a, mult(mult(mult(a, a), b), c)))))))),
% 6.46/6.67 inference(rewrite,[status(thm)],[])).
% 6.46/6.67 tff(16164,plain,
% 6.46/6.67 ((~![X0: $i, X1: $i, X2: $i] : ((~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X2, X1)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X1, X2)))))) | (~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X1, X2)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X2, X1)))))))) | ((~((~(mult(mult(a, c), mult(mult(a, a), b)) = mult(a, mult(mult(mult(a, a), b), c)))) | (~(mult(mult(a, mult(mult(a, a), b)), c) = mult(a, mult(c, mult(mult(a, a), b))))))) | (~((~(mult(mult(a, c), mult(mult(a, a), b)) = mult(a, mult(c, mult(mult(a, a), b))))) | (~(mult(mult(a, mult(mult(a, a), b)), c) = mult(a, mult(mult(mult(a, a), b), c)))))))),
% 6.46/6.67 inference(quant_inst,[status(thm)],[])).
% 6.46/6.67 tff(16165,plain,
% 6.46/6.67 ((~![X0: $i, X1: $i, X2: $i] : ((~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X2, X1)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X1, X2)))))) | (~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X1, X2)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X2, X1)))))))) | (~((~(mult(mult(a, c), mult(mult(a, a), b)) = mult(a, mult(mult(mult(a, a), b), c)))) | (~(mult(mult(a, mult(mult(a, a), b)), c) = mult(a, mult(c, mult(mult(a, a), b))))))) | (~((~(mult(mult(a, c), mult(mult(a, a), b)) = mult(a, mult(c, mult(mult(a, a), b))))) | (~(mult(mult(a, mult(mult(a, a), b)), c) = mult(a, mult(mult(mult(a, a), b), c))))))),
% 6.46/6.67 inference(modus_ponens,[status(thm)],[16164, 16163])).
% 6.46/6.67 tff(16166,plain,
% 6.46/6.67 ((~((~(mult(mult(a, c), mult(mult(a, a), b)) = mult(a, mult(mult(mult(a, a), b), c)))) | (~(mult(mult(a, mult(mult(a, a), b)), c) = mult(a, mult(c, mult(mult(a, a), b))))))) | (~((~(mult(mult(a, c), mult(mult(a, a), b)) = mult(a, mult(c, mult(mult(a, a), b))))) | (~(mult(mult(a, mult(mult(a, a), b)), c) = mult(a, mult(mult(mult(a, a), b), c))))))),
% 6.46/6.67 inference(unit_resolution,[status(thm)],[16165, 30])).
% 6.46/6.67 tff(16167,plain,
% 6.46/6.67 (~((~(mult(mult(a, c), mult(mult(a, a), b)) = mult(a, mult(mult(mult(a, a), b), c)))) | (~(mult(mult(a, mult(mult(a, a), b)), c) = mult(a, mult(c, mult(mult(a, a), b))))))),
% 6.46/6.67 inference(unit_resolution,[status(thm)],[16166, 16162])).
% 6.46/6.67 tff(16168,plain,
% 6.46/6.67 (((~(mult(mult(a, c), mult(mult(a, a), b)) = mult(a, mult(mult(mult(a, a), b), c)))) | (~(mult(mult(a, mult(mult(a, a), b)), c) = mult(a, mult(c, mult(mult(a, a), b)))))) | (mult(mult(a, c), mult(mult(a, a), b)) = mult(a, mult(mult(mult(a, a), b), c)))),
% 6.46/6.67 inference(tautology,[status(thm)],[])).
% 6.46/6.67 tff(16169,plain,
% 6.46/6.67 (mult(mult(a, c), mult(mult(a, a), b)) = mult(a, mult(mult(mult(a, a), b), c))),
% 6.46/6.67 inference(unit_resolution,[status(thm)],[16168, 16167])).
% 6.46/6.67 tff(16170,plain,
% 6.46/6.67 (mult(a, mult(mult(mult(a, a), b), c)) = mult(mult(a, c), mult(mult(a, a), b))),
% 6.46/6.67 inference(symmetry,[status(thm)],[16169])).
% 6.46/6.67 tff(16171,plain,
% 6.46/6.67 (mult(a, mult(a, mult(mult(a, b), c))) = mult(a, mult(mult(mult(a, a), b), c))),
% 6.46/6.67 inference(monotonicity,[status(thm)],[10487])).
% 6.46/6.67 tff(16172,plain,
% 6.46/6.67 (mult(a, mult(a, mult(mult(a, b), c))) = mult(a, mult(a, mult(b, mult(c, a))))),
% 6.46/6.67 inference(transitivity,[status(thm)],[16171, 16170, 16143, 16140, 16139, 16134, 16132])).
% 6.46/6.67 tff(16173,plain,
% 6.46/6.67 (ld(a, mult(a, mult(a, mult(mult(a, b), c)))) = ld(a, mult(a, mult(a, mult(b, mult(c, a)))))),
% 6.46/6.67 inference(monotonicity,[status(thm)],[16172])).
% 6.46/6.67 tff(16174,plain,
% 6.46/6.67 (ld(a, mult(a, mult(a, mult(b, mult(c, a))))) = ld(a, mult(a, mult(a, mult(mult(a, b), c))))),
% 6.46/6.67 inference(symmetry,[status(thm)],[16173])).
% 6.46/6.67 tff(16175,plain,
% 6.46/6.67 (mult(a, mult(b, mult(c, a))) = ld(a, mult(a, mult(a, mult(b, mult(c, a)))))),
% 6.46/6.67 inference(symmetry,[status(thm)],[10746])).
% 6.46/6.67 tff(16176,plain,
% 6.46/6.67 (mult(mult(a, mult(b, a)), c) = mult(mult(a, mult(a, b)), c)),
% 6.46/6.67 inference(transitivity,[status(thm)],[1435, 4878, 16175, 16174, 16116, 257])).
% 6.46/6.67 tff(16177,plain,
% 6.46/6.67 (rd(mult(mult(a, mult(b, a)), c), c) = rd(mult(mult(a, mult(a, b)), c), c)),
% 6.46/6.67 inference(monotonicity,[status(thm)],[16176])).
% 6.46/6.67 tff(16178,plain,
% 6.46/6.67 (mult(mult(a, b), a) = mult(a, mult(a, b))),
% 6.46/6.67 inference(transitivity,[status(thm)],[16126, 1440, 16177, 1431])).
% 6.46/6.67 tff(16179,plain,
% 6.46/6.67 ($false),
% 6.46/6.67 inference(unit_resolution,[status(thm)],[1946, 16178])).
% 6.46/6.67 tff(16180,plain,((~(mult(mult(mult(a, c), a), mult(a, b)) = mult(mult(a, c), mult(a, mult(a, b))))) | (mult(mult(a, b), a) = mult(a, mult(a, b))) | (~(mult(mult(a, mult(a, b)), c) = mult(a, mult(mult(a, b), c)))) | (~(mult(mult(a, mult(b, a)), c) = mult(a, mult(mult(b, a), c)))) | (~(mult(mult(b, a), mult(a, c)) = mult(b, mult(mult(a, c), a)))) | (~(mult(mult(mult(b, a), c), a) = mult(mult(b, a), mult(a, c)))) | (~(mult(mult(b, mult(c, a)), a) = mult(b, mult(a, mult(c, a))))) | (~(mult(mult(mult(a, a), b), c) = mult(mult(a, a), mult(b, c)))) | (~(mult(mult(a, a), mult(b, c)) = mult(a, mult(a, mult(b, c))))) | (~(mult(mult(a, b), c) = mult(a, mult(b, c)))) | (~(mult(mult(mult(a, b), a), c) = mult(mult(a, b), mult(c, a)))) | (~(mult(mult(c, a), mult(a, b)) = mult(c, mult(a, mult(a, b))))) | (mult(mult(a, mult(a, b)), mult(c, a)) = mult(a, mult(mult(a, b), mult(c, a))))), inference(lemma,lemma(discharge,[]))).
% 6.46/6.67 tff(16181,plain,
% 6.46/6.67 ((~(mult(mult(mult(a, c), a), mult(a, b)) = mult(mult(a, c), mult(a, mult(a, b))))) | (mult(mult(a, b), a) = mult(a, mult(a, b))) | (~(mult(mult(a, mult(a, b)), c) = mult(a, mult(mult(a, b), c)))) | (~(mult(mult(a, mult(b, a)), c) = mult(a, mult(mult(b, a), c)))) | (~(mult(mult(b, a), mult(a, c)) = mult(b, mult(mult(a, c), a)))) | (~(mult(mult(mult(b, a), c), a) = mult(mult(b, a), mult(a, c)))) | (~(mult(mult(mult(a, a), b), c) = mult(mult(a, a), mult(b, c)))) | (~(mult(mult(a, a), mult(b, c)) = mult(a, mult(a, mult(b, c))))) | (~(mult(mult(a, b), c) = mult(a, mult(b, c)))) | (~(mult(mult(mult(a, b), a), c) = mult(mult(a, b), mult(c, a)))) | (~(mult(mult(c, a), mult(a, b)) = mult(c, mult(a, mult(a, b))))) | (mult(mult(a, mult(a, b)), mult(c, a)) = mult(a, mult(mult(a, b), mult(c, a))))),
% 6.46/6.67 inference(unit_resolution,[status(thm)],[16180, 4679])).
% 6.46/6.67 tff(16182,plain,
% 6.46/6.67 ((~(mult(mult(mult(a, c), a), mult(a, b)) = mult(mult(a, c), mult(a, mult(a, b))))) | (mult(mult(a, b), a) = mult(a, mult(a, b))) | (~(mult(mult(a, mult(a, b)), c) = mult(a, mult(mult(a, b), c)))) | (~(mult(mult(a, mult(b, a)), c) = mult(a, mult(mult(b, a), c)))) | (~(mult(mult(mult(a, a), b), c) = mult(mult(a, a), mult(b, c)))) | (~(mult(mult(a, a), mult(b, c)) = mult(a, mult(a, mult(b, c))))) | (~(mult(mult(a, b), c) = mult(a, mult(b, c)))) | (~(mult(mult(mult(a, b), a), c) = mult(mult(a, b), mult(c, a)))) | (~(mult(mult(c, a), mult(a, b)) = mult(c, mult(a, mult(a, b))))) | (mult(mult(a, mult(a, b)), mult(c, a)) = mult(a, mult(mult(a, b), mult(c, a))))),
% 6.46/6.67 inference(unit_resolution,[status(thm)],[16181, 4651, 3530])).
% 6.46/6.67 tff(16183,plain,
% 6.46/6.67 (mult(mult(a, b), a) = mult(a, mult(a, b))),
% 6.46/6.67 inference(unit_resolution,[status(thm)],[16182, 16114, 256, 16111, 2629, 1154, 59, 2431, 16110, 10866])).
% 6.46/6.67 tff(16184,plain,
% 6.46/6.67 ((mult(mult(a, mult(c, a)), b) = mult(a, mult(b, mult(c, a)))) | (~(mult(mult(a, b), a) = mult(a, mult(a, b)))) | (mult(mult(c, a), b) = mult(c, mult(b, a)))),
% 6.46/6.67 inference(unit_resolution,[status(thm)],[3694, 3427])).
% 6.46/6.67 tff(16185,plain,
% 6.46/6.67 ($false),
% 6.46/6.67 inference(unit_resolution,[status(thm)],[16184, 16183, 16109, 40])).
% 6.46/6.67 tff(16186,plain,((mult(mult(a, b), mult(c, a)) = mult(a, mult(mult(c, a), b))) | (mult(mult(c, a), b) = mult(c, mult(b, a))) | (~(mult(mult(a, mult(a, b)), c) = mult(a, mult(mult(a, b), c)))) | (~(mult(mult(mult(a, a), b), c) = mult(mult(a, a), mult(b, c)))) | (~(mult(mult(a, a), mult(b, c)) = mult(a, mult(a, mult(b, c))))) | (~(mult(mult(a, b), c) = mult(a, mult(b, c)))) | (~(mult(mult(mult(a, b), a), c) = mult(mult(a, b), mult(c, a)))) | (~(mult(mult(mult(a, c), a), mult(a, b)) = mult(mult(a, c), mult(a, mult(a, b))))) | (mult(mult(a, mult(a, b)), mult(c, a)) = mult(a, mult(mult(a, b), mult(c, a)))) | (~(mult(mult(mult(a, c), a), b) = mult(mult(a, c), mult(a, b)))) | (~(mult(mult(c, a), b) = mult(c, mult(a, b))))), inference(lemma,lemma(discharge,[]))).
% 6.46/6.67 tff(16187,plain,
% 6.46/6.67 (mult(mult(a, b), mult(c, a)) = mult(a, mult(mult(c, a), b))),
% 6.46/6.67 inference(unit_resolution,[status(thm)],[16186, 10866, 256, 16080, 1154, 59, 2431, 16102, 40, 3766, 268])).
% 6.46/6.67 tff(16188,assumption,(~(mult(mult(a, mult(a, c)), a) = mult(a, mult(a, mult(a, c))))), introduced(assumption)).
% 6.46/6.67 tff(16189,plain,
% 6.46/6.67 ((~![B: $i, A: $i] : (rd(mult(A, B), B) = A)) | (rd(mult(mult(mult(a, c), a), mult(a, b)), mult(a, b)) = mult(mult(a, c), a))),
% 6.46/6.67 inference(quant_inst,[status(thm)],[])).
% 6.46/6.67 tff(16190,plain,
% 6.46/6.67 (rd(mult(mult(mult(a, c), a), mult(a, b)), mult(a, b)) = mult(mult(a, c), a)),
% 6.46/6.67 inference(unit_resolution,[status(thm)],[16189, 72])).
% 6.46/6.67 tff(16191,assumption,(mult(mult(a, mult(a, c)), mult(a, b)) = mult(a, mult(mult(a, c), mult(a, b)))), introduced(assumption)).
% 6.46/6.67 tff(16192,plain,
% 6.46/6.67 (mult(a, mult(mult(a, c), mult(a, b))) = mult(mult(a, mult(a, c)), mult(a, b))),
% 6.46/6.67 inference(symmetry,[status(thm)],[16191])).
% 6.46/6.67 tff(16193,plain,
% 6.46/6.67 (mult(mult(a, c), mult(a, b)) = mult(mult(mult(a, b), a), c)),
% 6.46/6.67 inference(transitivity,[status(thm)],[988, 16025, 458, 2432])).
% 6.46/6.67 tff(16194,plain,
% 6.46/6.67 (mult(a, mult(mult(a, c), mult(a, b))) = mult(a, mult(mult(mult(a, b), a), c))),
% 6.46/6.67 inference(monotonicity,[status(thm)],[16193])).
% 6.46/6.67 tff(16195,plain,
% 6.46/6.67 (mult(a, mult(mult(mult(a, b), a), c)) = mult(a, mult(mult(a, c), mult(a, b)))),
% 6.46/6.67 inference(symmetry,[status(thm)],[16194])).
% 6.46/6.67 tff(16196,plain,
% 6.46/6.67 (mult(mult(mult(a, c), a), mult(a, b)) = mult(mult(a, mult(c, a)), mult(a, b))),
% 6.46/6.67 inference(symmetry,[status(thm)],[13417])).
% 6.46/6.67 tff(16197,plain,
% 6.46/6.67 (mult(mult(mult(a, c), a), mult(a, b)) = mult(mult(a, mult(a, c)), mult(a, b))),
% 6.46/6.67 inference(transitivity,[status(thm)],[16196, 13683, 14068, 16195, 16192])).
% 6.46/6.67 tff(16198,plain,
% 6.46/6.67 (rd(mult(mult(mult(a, c), a), mult(a, b)), mult(a, b)) = rd(mult(mult(a, mult(a, c)), mult(a, b)), mult(a, b))),
% 6.46/6.67 inference(monotonicity,[status(thm)],[16197])).
% 6.46/6.67 tff(16199,plain,
% 6.46/6.67 (rd(mult(mult(a, mult(a, c)), mult(a, b)), mult(a, b)) = rd(mult(mult(mult(a, c), a), mult(a, b)), mult(a, b))),
% 6.46/6.67 inference(symmetry,[status(thm)],[16198])).
% 6.46/6.67 tff(16200,plain,
% 6.46/6.67 ((~![B: $i, A: $i] : (rd(mult(A, B), B) = A)) | (rd(mult(mult(a, mult(a, c)), mult(a, b)), mult(a, b)) = mult(a, mult(a, c)))),
% 6.46/6.67 inference(quant_inst,[status(thm)],[])).
% 6.46/6.67 tff(16201,plain,
% 6.46/6.67 (rd(mult(mult(a, mult(a, c)), mult(a, b)), mult(a, b)) = mult(a, mult(a, c))),
% 6.46/6.67 inference(unit_resolution,[status(thm)],[16200, 72])).
% 6.46/6.67 tff(16202,plain,
% 6.46/6.67 (mult(a, mult(a, c)) = rd(mult(mult(a, mult(a, c)), mult(a, b)), mult(a, b))),
% 6.46/6.67 inference(symmetry,[status(thm)],[16201])).
% 6.46/6.67 tff(16203,plain,
% 6.46/6.67 (mult(a, mult(a, c)) = mult(mult(a, c), a)),
% 6.46/6.67 inference(transitivity,[status(thm)],[16202, 16199, 16190])).
% 6.46/6.67 tff(16204,plain,
% 6.46/6.67 (mult(a, mult(a, mult(a, c))) = mult(a, mult(mult(a, c), a))),
% 6.46/6.67 inference(monotonicity,[status(thm)],[16203])).
% 6.46/6.67 tff(16205,plain,
% 6.46/6.67 (mult(a, mult(mult(a, c), a)) = mult(a, mult(a, mult(a, c)))),
% 6.46/6.67 inference(symmetry,[status(thm)],[16204])).
% 6.46/6.67 tff(16206,plain,
% 6.46/6.67 (mult(mult(a, mult(a, c)), a) = mult(a, mult(a, mult(a, c)))),
% 6.46/6.67 inference(transitivity,[status(thm)],[2645, 16205])).
% 6.46/6.67 tff(16207,plain,
% 6.46/6.67 ($false),
% 6.46/6.67 inference(unit_resolution,[status(thm)],[16188, 16206])).
% 6.46/6.67 tff(16208,plain,((~(mult(mult(a, mult(a, c)), mult(a, b)) = mult(a, mult(mult(a, c), mult(a, b))))) | (mult(mult(a, mult(a, c)), a) = mult(a, mult(a, mult(a, c)))) | (~(mult(mult(a, mult(a, c)), a) = mult(a, mult(mult(a, c), a)))) | (~(mult(mult(a, mult(c, a)), mult(a, b)) = mult(a, mult(mult(a, b), mult(c, a))))) | (~(mult(mult(mult(a, b), a), c) = mult(mult(a, b), mult(c, a)))) | (~(mult(mult(a, b), mult(c, a)) = mult(a, mult(mult(c, a), b)))) | (~(mult(mult(a, c), mult(a, b)) = mult(a, mult(c, mult(a, b))))) | (~(mult(mult(c, a), b) = mult(c, mult(a, b))))), inference(lemma,lemma(discharge,[]))).
% 6.46/6.67 tff(16209,plain,
% 6.46/6.67 (~(mult(mult(a, mult(a, c)), mult(a, b)) = mult(a, mult(mult(a, c), mult(a, b))))),
% 6.46/6.67 inference(unit_resolution,[status(thm)],[16208, 16134, 16079, 16188, 2431, 16187, 16082, 268])).
% 6.46/6.67 tff(16210,plain,
% 6.46/6.67 (((~(mult(mult(a, mult(a, b)), mult(a, c)) = mult(a, mult(mult(a, b), mult(a, c))))) | (~(mult(mult(a, mult(a, c)), mult(a, b)) = mult(a, mult(mult(a, c), mult(a, b)))))) | (mult(mult(a, mult(a, c)), mult(a, b)) = mult(a, mult(mult(a, c), mult(a, b))))),
% 6.46/6.67 inference(tautology,[status(thm)],[])).
% 6.46/6.67 tff(16211,plain,
% 6.46/6.67 ((~(mult(mult(a, mult(a, b)), mult(a, c)) = mult(a, mult(mult(a, b), mult(a, c))))) | (~(mult(mult(a, mult(a, c)), mult(a, b)) = mult(a, mult(mult(a, c), mult(a, b)))))),
% 6.46/6.67 inference(unit_resolution,[status(thm)],[16210, 16209])).
% 6.46/6.67 tff(16212,plain,
% 6.46/6.67 (~((~(mult(mult(a, mult(a, b)), mult(a, c)) = mult(a, mult(mult(a, c), mult(a, b))))) | (~(mult(mult(a, mult(a, c)), mult(a, b)) = mult(a, mult(mult(a, b), mult(a, c))))))),
% 6.46/6.67 inference(unit_resolution,[status(thm)],[5626, 16211])).
% 6.46/6.67 tff(16213,plain,
% 6.46/6.67 (mult(mult(a, mult(a, b)), mult(a, c)) = mult(a, mult(mult(a, c), mult(a, b)))),
% 6.46/6.67 inference(unit_resolution,[status(thm)],[5628, 16212])).
% 6.46/6.67 tff(16214,plain,
% 6.46/6.67 (mult(a, mult(mult(a, c), b)) = mult(mult(a, mult(a, c)), b)),
% 6.46/6.67 inference(symmetry,[status(thm)],[16077])).
% 6.46/6.67 tff(16215,plain,
% 6.46/6.67 (mult(mult(mult(a, a), c), b) = mult(mult(a, mult(a, c)), b)),
% 6.46/6.67 inference(transitivity,[status(thm)],[16078, 8185, 2058, 16214])).
% 6.46/6.67 tff(16216,plain,
% 6.46/6.67 (rd(mult(mult(mult(a, a), c), b), b) = rd(mult(mult(a, mult(a, c)), b), b)),
% 6.46/6.67 inference(monotonicity,[status(thm)],[16215])).
% 6.46/6.67 tff(16217,plain,
% 6.46/6.67 (mult(mult(a, a), c) = mult(a, mult(a, c))),
% 6.46/6.67 inference(transitivity,[status(thm)],[5380, 16216, 908])).
% 6.46/6.67 tff(16218,plain,
% 6.46/6.67 (mult(b, mult(mult(a, a), c)) = mult(b, mult(a, mult(a, c)))),
% 6.46/6.67 inference(monotonicity,[status(thm)],[16217])).
% 6.46/6.67 tff(16219,plain,
% 6.46/6.67 (mult(b, mult(a, mult(a, c))) = mult(b, mult(mult(a, a), c))),
% 6.46/6.67 inference(symmetry,[status(thm)],[16218])).
% 6.46/6.67 tff(16220,plain,
% 6.46/6.67 (mult(a, mult(b, mult(a, mult(a, c)))) = mult(a, mult(b, mult(mult(a, a), c)))),
% 6.46/6.67 inference(monotonicity,[status(thm)],[16219])).
% 6.46/6.67 tff(16221,plain,
% 6.46/6.67 (mult(a, mult(b, mult(mult(a, a), c))) = mult(a, mult(b, mult(a, mult(a, c))))),
% 6.46/6.67 inference(symmetry,[status(thm)],[16220])).
% 6.46/6.67 tff(16222,plain,
% 6.46/6.67 (mult(mult(a, b), mult(mult(a, a), c)) = mult(mult(a, b), mult(a, mult(a, c)))),
% 6.46/6.67 inference(monotonicity,[status(thm)],[16217])).
% 6.46/6.67 tff(16223,plain,
% 6.46/6.67 ((mult(mult(a, b), mult(mult(a, a), c)) = mult(a, mult(b, mult(mult(a, a), c)))) <=> (mult(mult(a, b), mult(a, mult(a, c))) = mult(a, mult(b, mult(a, mult(a, c)))))),
% 6.46/6.67 inference(monotonicity,[status(thm)],[16222, 16221])).
% 6.46/6.67 tff(16224,plain,
% 6.46/6.67 ((mult(mult(a, b), mult(a, mult(a, c))) = mult(a, mult(b, mult(a, mult(a, c))))) <=> (mult(mult(a, b), mult(mult(a, a), c)) = mult(a, mult(b, mult(mult(a, a), c))))),
% 6.46/6.67 inference(symmetry,[status(thm)],[16223])).
% 6.46/6.67 tff(16225,plain,
% 6.46/6.67 (mult(mult(a, b), mult(a, c)) = mult(a, mult(mult(b, c), a))),
% 6.46/6.67 inference(transitivity,[status(thm)],[403, 2382, 10438])).
% 6.46/6.67 tff(16226,plain,
% 6.46/6.67 (mult(mult(mult(a, b), mult(a, c)), a) = mult(mult(a, mult(mult(b, c), a)), a)),
% 6.46/6.67 inference(monotonicity,[status(thm)],[16225])).
% 6.46/6.67 tff(16227,plain,
% 6.46/6.67 (mult(mult(a, mult(mult(b, c), a)), a) = mult(mult(mult(a, b), mult(a, c)), a)),
% 6.46/6.67 inference(symmetry,[status(thm)],[16226])).
% 6.46/6.67 tff(16228,plain,
% 6.46/6.67 (mult(mult(a, mult(mult(b, c), a)), a) = mult(mult(a, b), mult(a, mult(a, c)))),
% 6.46/6.67 inference(transitivity,[status(thm)],[16227, 6309])).
% 6.46/6.67 tff(16229,plain,
% 6.46/6.67 ((mult(mult(a, mult(mult(b, c), a)), a) = mult(a, mult(mult(mult(b, c), a), a))) <=> (mult(mult(a, b), mult(a, mult(a, c))) = mult(a, mult(b, mult(a, mult(a, c)))))),
% 6.46/6.67 inference(monotonicity,[status(thm)],[16228, 10563])).
% 6.46/6.67 tff(16230,plain,
% 6.46/6.67 ((mult(mult(a, mult(mult(b, c), a)), a) = mult(a, mult(mult(mult(b, c), a), a))) <=> (mult(mult(a, b), mult(mult(a, a), c)) = mult(a, mult(b, mult(mult(a, a), c))))),
% 6.46/6.68 inference(transitivity,[status(thm)],[16229, 16224])).
% 6.46/6.68 tff(16231,plain,
% 6.46/6.68 (mult(mult(a, mult(mult(b, c), a)), a) = mult(a, mult(mult(mult(b, c), a), a))),
% 6.46/6.68 inference(unit_resolution,[status(thm)],[10555, 16080, 59, 1154])).
% 6.46/6.68 tff(16232,plain,
% 6.46/6.68 (mult(mult(a, b), mult(mult(a, a), c)) = mult(a, mult(b, mult(mult(a, a), c)))),
% 6.46/6.68 inference(modus_ponens,[status(thm)],[16231, 16230])).
% 6.46/6.68 tff(16233,assumption,(~(mult(mult(a, mult(a, c)), mult(a, b)) = mult(a, mult(mult(a, c), mult(a, b))))), introduced(assumption)).
% 6.46/6.68 tff(16234,plain,
% 6.46/6.68 ((~(mult(mult(a, mult(a, b)), mult(a, c)) = mult(a, mult(mult(a, b), mult(a, c))))) | (~(mult(mult(a, mult(a, c)), mult(a, b)) = mult(a, mult(mult(a, c), mult(a, b)))))),
% 6.46/6.68 inference(unit_resolution,[status(thm)],[16210, 16233])).
% 6.46/6.68 tff(16235,plain,
% 6.46/6.68 (~((~(mult(mult(a, mult(a, b)), mult(a, c)) = mult(a, mult(mult(a, c), mult(a, b))))) | (~(mult(mult(a, mult(a, c)), mult(a, b)) = mult(a, mult(mult(a, b), mult(a, c))))))),
% 6.46/6.68 inference(unit_resolution,[status(thm)],[5626, 16234])).
% 6.46/6.68 tff(16236,plain,
% 6.46/6.68 (mult(mult(a, mult(a, b)), mult(a, c)) = mult(a, mult(mult(a, c), mult(a, b)))),
% 6.46/6.68 inference(unit_resolution,[status(thm)],[5628, 16235])).
% 6.46/6.68 tff(16237,plain,
% 6.46/6.68 (mult(mult(a, a), mult(b, mult(a, c))) = mult(mult(mult(a, a), b), mult(a, c))),
% 6.46/6.68 inference(symmetry,[status(thm)],[6276])).
% 6.46/6.68 tff(16238,plain,
% 6.46/6.68 (mult(mult(a, a), mult(mult(b, c), a)) = mult(mult(a, a), mult(b, mult(a, c)))),
% 6.46/6.68 inference(symmetry,[status(thm)],[5572])).
% 6.46/6.68 tff(16239,plain,
% 6.46/6.68 ((mult(a, mult(mult(a, c), mult(a, b))) = mult(mult(a, mult(a, c)), mult(a, b))) <=> (mult(mult(a, mult(a, c)), mult(a, b)) = mult(a, mult(mult(a, c), mult(a, b))))),
% 6.46/6.68 inference(commutativity,[status(thm)],[])).
% 6.46/6.68 tff(16240,plain,
% 6.46/6.68 (mult(mult(a, mult(a, c)), mult(a, b)) = mult(a, mult(mult(a, b), mult(a, c)))),
% 6.46/6.68 inference(unit_resolution,[status(thm)],[6221, 16235])).
% 6.46/6.68 tff(16241,plain,
% 6.46/6.68 (mult(a, mult(mult(a, b), mult(a, c))) = mult(mult(a, mult(a, c)), mult(a, b))),
% 6.46/6.68 inference(symmetry,[status(thm)],[16240])).
% 6.46/6.68 tff(16242,plain,
% 6.46/6.68 (mult(a, mult(mult(a, b), mult(a, c))) = mult(a, mult(a, mult(mult(b, c), a)))),
% 6.46/6.68 inference(monotonicity,[status(thm)],[10567])).
% 6.46/6.68 tff(16243,plain,
% 6.46/6.68 (mult(a, mult(a, mult(mult(b, c), a))) = mult(a, mult(mult(a, b), mult(a, c)))),
% 6.46/6.68 inference(symmetry,[status(thm)],[16242])).
% 6.46/6.68 tff(16244,plain,
% 6.46/6.68 (mult(a, mult(a, mult(mult(b, c), a))) = mult(mult(a, mult(a, c)), mult(a, b))),
% 6.46/6.68 inference(transitivity,[status(thm)],[16243, 16241])).
% 6.46/6.68 tff(16245,plain,
% 6.46/6.68 (mult(mult(a, a), mult(mult(b, c), a)) = mult(a, mult(mult(a, c), mult(a, b)))),
% 6.46/6.68 inference(transitivity,[status(thm)],[16238, 16237, 6310, 16236])).
% 6.46/6.68 tff(16246,plain,
% 6.46/6.68 ((mult(mult(a, a), mult(mult(b, c), a)) = mult(a, mult(a, mult(mult(b, c), a)))) <=> (mult(a, mult(mult(a, c), mult(a, b))) = mult(mult(a, mult(a, c)), mult(a, b)))),
% 6.46/6.68 inference(monotonicity,[status(thm)],[16245, 16244])).
% 6.46/6.68 tff(16247,plain,
% 6.46/6.68 ((mult(mult(a, a), mult(mult(b, c), a)) = mult(a, mult(a, mult(mult(b, c), a)))) <=> (mult(mult(a, mult(a, c)), mult(a, b)) = mult(a, mult(mult(a, c), mult(a, b))))),
% 6.46/6.68 inference(transitivity,[status(thm)],[16246, 16239])).
% 6.46/6.68 tff(16248,plain,
% 6.46/6.68 ((mult(mult(a, mult(a, c)), mult(a, b)) = mult(a, mult(mult(a, c), mult(a, b)))) <=> (mult(mult(a, a), mult(mult(b, c), a)) = mult(a, mult(a, mult(mult(b, c), a))))),
% 6.46/6.68 inference(symmetry,[status(thm)],[16247])).
% 6.46/6.68 tff(16249,plain,
% 6.46/6.68 ((~(mult(mult(a, mult(a, c)), mult(a, b)) = mult(a, mult(mult(a, c), mult(a, b))))) <=> (~(mult(mult(a, a), mult(mult(b, c), a)) = mult(a, mult(a, mult(mult(b, c), a)))))),
% 6.46/6.68 inference(monotonicity,[status(thm)],[16248])).
% 6.46/6.68 tff(16250,plain,
% 6.46/6.68 (~(mult(mult(a, a), mult(mult(b, c), a)) = mult(a, mult(a, mult(mult(b, c), a))))),
% 6.46/6.68 inference(modus_ponens,[status(thm)],[16233, 16249])).
% 6.46/6.68 tff(16251,plain,
% 6.46/6.68 ((~(mult(mult(a, a), mult(mult(b, c), a)) = mult(a, mult(a, mult(mult(b, c), a))))) | (~(mult(mult(a, mult(mult(b, c), a)), a) = mult(a, mult(mult(mult(b, c), a), a))))),
% 6.46/6.68 inference(unit_resolution,[status(thm)],[15980, 16250])).
% 6.46/6.68 tff(16252,plain,
% 6.46/6.68 (~((~(mult(mult(a, a), mult(mult(b, c), a)) = mult(a, mult(mult(mult(b, c), a), a)))) | (~(mult(mult(a, mult(mult(b, c), a)), a) = mult(a, mult(a, mult(mult(b, c), a))))))),
% 6.46/6.68 inference(unit_resolution,[status(thm)],[10537, 16251])).
% 6.46/6.68 tff(16253,plain,
% 6.46/6.68 (mult(mult(a, a), mult(mult(b, c), a)) = mult(a, mult(mult(mult(b, c), a), a))),
% 6.46/6.68 inference(unit_resolution,[status(thm)],[10539, 16252])).
% 6.46/6.68 tff(16254,plain,
% 6.46/6.68 (mult(a, mult(mult(mult(b, c), a), a)) = mult(mult(a, a), mult(mult(b, c), a))),
% 6.46/6.68 inference(symmetry,[status(thm)],[16253])).
% 6.46/6.68 tff(16255,plain,
% 6.46/6.68 (mult(a, mult(mult(a, c), b)) = mult(mult(a, mult(a, c)), b)),
% 6.46/6.68 inference(symmetry,[status(thm)],[10607])).
% 6.46/6.68 tff(16256,plain,
% 6.46/6.68 (mult(mult(mult(a, a), c), b) = mult(mult(a, mult(a, c)), b)),
% 6.46/6.68 inference(transitivity,[status(thm)],[789, 8185, 2058, 16255])).
% 6.46/6.68 tff(16257,plain,
% 6.46/6.68 (rd(mult(mult(mult(a, a), c), b), b) = rd(mult(mult(a, mult(a, c)), b), b)),
% 6.46/6.68 inference(monotonicity,[status(thm)],[16256])).
% 6.46/6.68 tff(16258,plain,
% 6.46/6.68 (mult(mult(a, a), c) = mult(a, mult(a, c))),
% 6.46/6.68 inference(transitivity,[status(thm)],[5380, 16257, 908])).
% 6.46/6.68 tff(16259,plain,
% 6.46/6.68 (mult(b, mult(mult(a, a), c)) = mult(b, mult(a, mult(a, c)))),
% 6.46/6.68 inference(monotonicity,[status(thm)],[16258])).
% 6.46/6.68 tff(16260,plain,
% 6.46/6.68 (mult(b, mult(a, mult(a, c))) = mult(b, mult(mult(a, a), c))),
% 6.46/6.68 inference(symmetry,[status(thm)],[16259])).
% 6.46/6.68 tff(16261,plain,
% 6.46/6.68 (mult(a, mult(b, mult(a, mult(a, c)))) = mult(a, mult(b, mult(mult(a, a), c)))),
% 6.46/6.68 inference(monotonicity,[status(thm)],[16260])).
% 6.46/6.68 tff(16262,plain,
% 6.46/6.68 (mult(a, mult(b, mult(mult(a, a), c))) = mult(a, mult(b, mult(a, mult(a, c))))),
% 6.46/6.68 inference(symmetry,[status(thm)],[16261])).
% 6.46/6.68 tff(16263,assumption,(mult(mult(a, b), mult(mult(a, a), c)) = mult(a, mult(b, mult(mult(a, a), c)))), introduced(assumption)).
% 6.46/6.68 tff(16264,plain,
% 6.46/6.68 (mult(mult(a, b), mult(mult(a, a), c)) = mult(mult(a, b), mult(a, mult(a, c)))),
% 6.46/6.68 inference(monotonicity,[status(thm)],[16258])).
% 6.46/6.68 tff(16265,plain,
% 6.46/6.68 (mult(mult(a, b), mult(a, mult(a, c))) = mult(mult(a, b), mult(mult(a, a), c))),
% 6.46/6.68 inference(symmetry,[status(thm)],[16264])).
% 6.46/6.68 tff(16266,plain,
% 6.46/6.68 (mult(mult(a, mult(mult(b, c), a)), a) = mult(mult(mult(a, b), mult(a, c)), a)),
% 6.46/6.68 inference(symmetry,[status(thm)],[10568])).
% 6.46/6.68 tff(16267,plain,
% 6.46/6.68 (mult(mult(a, mult(mult(b, c), a)), a) = mult(a, mult(a, mult(mult(b, c), a)))),
% 6.46/6.68 inference(unit_resolution,[status(thm)],[10511, 16251])).
% 6.46/6.68 tff(16268,plain,
% 6.46/6.68 (mult(a, mult(a, mult(mult(b, c), a))) = mult(mult(a, mult(mult(b, c), a)), a)),
% 6.46/6.68 inference(symmetry,[status(thm)],[16267])).
% 6.46/6.68 tff(16269,plain,
% 6.46/6.68 (mult(mult(a, mult(a, c)), mult(a, b)) = mult(a, mult(mult(a, c), mult(a, b)))),
% 6.46/6.68 inference(transitivity,[status(thm)],[16240, 16242, 16268, 16266, 6309, 16265, 16263, 16262, 10564, 16254, 16238, 16237, 6310, 16236])).
% 6.46/6.68 tff(16270,plain,
% 6.46/6.68 ($false),
% 6.46/6.68 inference(unit_resolution,[status(thm)],[16233, 16269])).
% 6.46/6.68 tff(16271,plain,((~(mult(mult(mult(a, a), b), mult(a, c)) = mult(mult(a, a), mult(b, mult(a, c))))) | (mult(mult(a, mult(a, c)), mult(a, b)) = mult(a, mult(mult(a, c), mult(a, b)))) | (~(mult(mult(a, b), mult(mult(a, a), c)) = mult(a, mult(b, mult(mult(a, a), c))))) | (~(mult(mult(mult(a, b), mult(a, c)), a) = mult(mult(a, b), mult(a, mult(a, c))))) | (~(mult(mult(mult(a, a), c), b) = mult(mult(a, a), mult(c, b)))) | (~(mult(mult(a, c), b) = mult(a, mult(c, b)))) | (~(mult(mult(mult(a, b), c), a) = mult(mult(a, b), mult(a, c)))) | (~(mult(mult(a, mult(b, c)), a) = mult(a, mult(mult(b, c), a)))) | (~(mult(mult(a, b), c) = mult(a, mult(b, c))))), inference(lemma,lemma(discharge,[]))).
% 6.46/6.68 tff(16272,plain,
% 6.46/6.68 (~(mult(mult(mult(a, a), b), mult(a, c)) = mult(mult(a, a), mult(b, mult(a, c))))),
% 6.46/6.68 inference(unit_resolution,[status(thm)],[16271, 16209, 16232, 6309, 16078, 788, 168, 10438, 59])).
% 6.46/6.68 tff(16273,plain,
% 6.46/6.68 ((~(mult(mult(mult(a, a), b), mult(a, c)) = mult(mult(a, a), mult(b, mult(a, c))))) | (~(mult(mult(mult(a, a), mult(a, c)), b) = mult(mult(a, a), mult(mult(a, c), b))))),
% 6.46/6.68 inference(unit_resolution,[status(thm)],[5584, 16272])).
% 6.46/6.68 tff(16274,plain,
% 6.46/6.68 (~((~(mult(mult(mult(a, a), b), mult(a, c)) = mult(mult(a, a), mult(mult(a, c), b)))) | (~(mult(mult(mult(a, a), mult(a, c)), b) = mult(mult(a, a), mult(b, mult(a, c))))))),
% 6.46/6.68 inference(unit_resolution,[status(thm)],[5653, 16273])).
% 6.46/6.68 tff(16275,plain,
% 6.46/6.68 (mult(mult(mult(a, a), b), mult(a, c)) = mult(mult(a, a), mult(mult(a, c), b))),
% 6.46/6.68 inference(unit_resolution,[status(thm)],[5659, 16274])).
% 6.46/6.68 tff(16276,plain,
% 6.46/6.68 (mult(mult(a, a), mult(mult(a, c), b)) = mult(mult(mult(a, a), b), mult(a, c))),
% 6.46/6.68 inference(symmetry,[status(thm)],[16275])).
% 6.46/6.68 tff(16277,plain,
% 6.46/6.68 (mult(mult(a, a), mult(a, mult(c, b))) = mult(mult(a, a), mult(mult(a, c), b))),
% 6.46/6.68 inference(monotonicity,[status(thm)],[797])).
% 6.46/6.68 tff(16278,plain,
% 6.46/6.68 (mult(a, mult(mult(a, a), mult(c, b))) = mult(a, mult(mult(a, c), mult(a, b)))),
% 6.46/6.68 inference(transitivity,[status(thm)],[12430, 10606, 16277, 16276, 5530, 16213])).
% 6.46/6.68 tff(16279,plain,
% 6.46/6.68 (ld(a, mult(a, mult(mult(a, a), mult(c, b)))) = ld(a, mult(a, mult(mult(a, c), mult(a, b))))),
% 6.46/6.68 inference(monotonicity,[status(thm)],[16278])).
% 6.46/6.68 tff(16280,plain,
% 6.46/6.68 ((~![B: $i, A: $i] : (ld(A, mult(A, B)) = B)) | (ld(a, mult(a, mult(mult(a, a), mult(c, b)))) = mult(mult(a, a), mult(c, b)))),
% 6.46/6.68 inference(quant_inst,[status(thm)],[])).
% 6.46/6.68 tff(16281,plain,
% 6.46/6.68 (ld(a, mult(a, mult(mult(a, a), mult(c, b)))) = mult(mult(a, a), mult(c, b))),
% 6.46/6.68 inference(unit_resolution,[status(thm)],[16280, 9])).
% 6.46/6.68 tff(16282,plain,
% 6.46/6.68 (mult(mult(a, a), mult(c, b)) = ld(a, mult(a, mult(mult(a, a), mult(c, b))))),
% 6.46/6.68 inference(symmetry,[status(thm)],[16281])).
% 6.46/6.68 tff(16283,plain,
% 6.46/6.68 (mult(a, mult(a, mult(c, b))) = mult(a, mult(c, mult(a, b)))),
% 6.46/6.68 inference(transitivity,[status(thm)],[8186, 16282, 16279, 5418, 16082])).
% 6.46/6.68 tff(16284,plain,
% 6.46/6.68 (ld(a, mult(a, mult(a, mult(c, b)))) = ld(a, mult(a, mult(c, mult(a, b))))),
% 6.46/6.68 inference(monotonicity,[status(thm)],[16283])).
% 6.46/6.68 tff(16285,plain,
% 6.46/6.68 (ld(a, mult(a, mult(c, mult(a, b)))) = ld(a, mult(a, mult(a, mult(c, b))))),
% 6.46/6.68 inference(symmetry,[status(thm)],[16284])).
% 6.46/6.68 tff(16286,plain,
% 6.46/6.68 (mult(mult(c, a), b) = mult(mult(a, c), b)),
% 6.46/6.68 inference(transitivity,[status(thm)],[268, 668, 16285, 802, 797])).
% 6.46/6.68 tff(16287,plain,
% 6.46/6.68 (rd(mult(mult(c, a), b), b) = rd(mult(mult(a, c), b), b)),
% 6.46/6.68 inference(monotonicity,[status(thm)],[16286])).
% 6.46/6.68 tff(16288,plain,
% 6.46/6.68 (mult(c, a) = mult(a, c)),
% 6.46/6.68 inference(transitivity,[status(thm)],[359, 16287, 344])).
% 6.46/6.68 tff(16289,plain,
% 6.46/6.68 ($false),
% 6.46/6.68 inference(unit_resolution,[status(thm)],[2466, 16288])).
% 6.46/6.68 tff(16290,plain,((mult(mult(a, mult(a, b)), mult(c, a)) = mult(a, mult(mult(a, b), mult(c, a)))) | (mult(c, a) = mult(a, c)) | (~(mult(mult(a, c), b) = mult(a, mult(c, b)))) | (~(mult(mult(c, a), b) = mult(c, mult(a, b)))) | (~(mult(mult(mult(a, b), mult(a, c)), a) = mult(mult(a, b), mult(a, mult(a, c))))) | (~(mult(mult(mult(a, b), c), a) = mult(mult(a, b), mult(a, c)))) | (~(mult(mult(a, b), c) = mult(a, mult(b, c)))) | (mult(mult(a, mult(a, c)), a) = mult(a, mult(a, mult(a, c)))) | (~(mult(mult(mult(a, b), a), c) = mult(mult(a, b), mult(c, a)))) | (~(mult(mult(a, mult(a, b)), c) = mult(a, mult(mult(a, b), c)))) | (~(mult(mult(a, a), mult(b, c)) = mult(a, mult(a, mult(b, c))))) | (mult(mult(c, a), b) = mult(c, mult(b, a))) | (~(mult(mult(mult(a, c), a), b) = mult(mult(a, c), mult(a, b))))), inference(lemma,lemma(discharge,[]))).
% 6.46/6.68 tff(16291,plain,
% 6.46/6.68 ((mult(mult(a, mult(a, b)), mult(c, a)) = mult(a, mult(mult(a, b), mult(c, a)))) | (mult(c, a) = mult(a, c)) | (~(mult(mult(c, a), b) = mult(c, mult(a, b)))) | (~(mult(mult(mult(a, b), mult(a, c)), a) = mult(mult(a, b), mult(a, mult(a, c))))) | (~(mult(mult(mult(a, b), c), a) = mult(mult(a, b), mult(a, c)))) | (~(mult(mult(a, b), c) = mult(a, mult(b, c)))) | (mult(mult(a, mult(a, c)), a) = mult(a, mult(a, mult(a, c)))) | (~(mult(mult(mult(a, b), a), c) = mult(mult(a, b), mult(c, a)))) | (~(mult(mult(a, mult(a, b)), c) = mult(a, mult(mult(a, b), c)))) | (~(mult(mult(a, a), mult(b, c)) = mult(a, mult(a, mult(b, c))))) | (mult(mult(c, a), b) = mult(c, mult(b, a))) | (~(mult(mult(mult(a, c), a), b) = mult(mult(a, c), mult(a, b))))),
% 6.46/6.68 inference(unit_resolution,[status(thm)],[16290, 8955])).
% 6.46/6.68 tff(16292,plain,
% 6.46/6.68 ((mult(mult(a, mult(a, b)), mult(c, a)) = mult(a, mult(mult(a, b), mult(c, a)))) | (mult(c, a) = mult(a, c)) | (~(mult(mult(c, a), b) = mult(c, mult(a, b)))) | (~(mult(mult(mult(a, b), mult(a, c)), a) = mult(mult(a, b), mult(a, mult(a, c))))) | (~(mult(mult(mult(a, b), c), a) = mult(mult(a, b), mult(a, c)))) | (mult(mult(a, mult(a, c)), a) = mult(a, mult(a, mult(a, c)))) | (~(mult(mult(a, mult(a, b)), c) = mult(a, mult(mult(a, b), c)))) | (~(mult(mult(a, a), mult(b, c)) = mult(a, mult(a, mult(b, c))))) | (mult(mult(c, a), b) = mult(c, mult(b, a))) | (~(mult(mult(mult(a, c), a), b) = mult(mult(a, c), mult(a, b))))),
% 6.46/6.68 inference(unit_resolution,[status(thm)],[16291, 8959, 9222])).
% 6.46/6.68 tff(16293,plain,
% 6.46/6.68 (mult(mult(a, mult(a, b)), mult(c, a)) = mult(a, mult(mult(a, b), mult(c, a)))),
% 6.46/6.68 inference(unit_resolution,[status(thm)],[16292, 15827, 15797, 15733, 16042, 15801, 15756, 15823, 16003, 16076])).
% 6.46/6.68 tff(16294,plain,
% 6.46/6.68 (mult(mult(mult(mult(a, a), b), c), a) = mult(mult(mult(a, mult(a, b)), c), a)),
% 6.46/6.68 inference(symmetry,[status(thm)],[5533])).
% 6.46/6.68 tff(16295,plain,
% 6.46/6.68 ((mult(mult(mult(mult(a, a), b), c), a) = mult(mult(mult(a, a), b), mult(c, a))) <=> (mult(mult(mult(a, mult(a, b)), c), a) = mult(mult(a, mult(a, b)), mult(c, a)))),
% 6.46/6.68 inference(monotonicity,[status(thm)],[16294, 10893])).
% 6.46/6.68 tff(16296,plain,
% 6.46/6.68 ((mult(mult(mult(a, mult(a, b)), c), a) = mult(mult(a, mult(a, b)), mult(c, a))) <=> (mult(mult(mult(mult(a, a), b), c), a) = mult(mult(mult(a, a), b), mult(c, a)))),
% 6.46/6.68 inference(symmetry,[status(thm)],[16295])).
% 6.46/6.68 tff(16297,plain,
% 6.46/6.68 ((~(mult(mult(mult(a, mult(a, b)), c), a) = mult(mult(a, mult(a, b)), mult(c, a)))) <=> (~(mult(mult(mult(mult(a, a), b), c), a) = mult(mult(mult(a, a), b), mult(c, a))))),
% 6.46/6.68 inference(monotonicity,[status(thm)],[16296])).
% 6.46/6.68 tff(16298,plain,
% 6.46/6.68 (mult(mult(a, mult(a, c)), a) = mult(a, mult(mult(a, c), a))),
% 6.46/6.68 inference(unit_resolution,[status(thm)],[10473, 16054, 16053])).
% 6.46/6.68 tff(16299,plain,
% 6.46/6.68 (mult(mult(mult(a, a), b), c) = mult(mult(a, a), mult(b, c))),
% 6.46/6.68 inference(unit_resolution,[status(thm)],[10483, 16298, 16053])).
% 6.46/6.68 tff(16300,plain,
% 6.46/6.68 ((mult(mult(a, mult(b, a)), c) = mult(a, mult(mult(b, a), c))) <=> (mult(mult(a, b), mult(c, a)) = mult(a, mult(b, mult(c, a))))),
% 6.46/6.68 inference(symmetry,[status(thm)],[16113])).
% 6.46/6.68 tff(16301,plain,
% 6.46/6.68 (mult(mult(a, mult(c, a)), b) = mult(a, mult(b, mult(c, a)))),
% 6.46/6.68 inference(unit_resolution,[status(thm)],[735, 15776])).
% 6.46/6.68 tff(16302,plain,
% 6.46/6.68 (mult(a, mult(mult(c, a), b)) = mult(a, mult(mult(b, a), c))),
% 6.46/6.68 inference(transitivity,[status(thm)],[2024, 989, 8249, 13447, 16301, 5246])).
% 6.46/6.68 tff(16303,plain,
% 6.46/6.68 ((mult(mult(a, b), mult(c, a)) = mult(a, mult(mult(c, a), b))) <=> (mult(mult(a, mult(b, a)), c) = mult(a, mult(mult(b, a), c)))),
% 6.46/6.68 inference(monotonicity,[status(thm)],[16112, 16302])).
% 6.46/6.68 tff(16304,plain,
% 6.46/6.68 ((mult(mult(a, b), mult(c, a)) = mult(a, mult(mult(c, a), b))) <=> (mult(mult(a, b), mult(c, a)) = mult(a, mult(b, mult(c, a))))),
% 6.46/6.68 inference(transitivity,[status(thm)],[16303, 16300])).
% 6.46/6.68 tff(16305,plain,
% 6.46/6.68 (mult(mult(a, b), mult(c, a)) = mult(a, mult(b, mult(c, a)))),
% 6.46/6.68 inference(modus_ponens,[status(thm)],[15777, 16304])).
% 6.46/6.68 tff(16306,plain,
% 6.46/6.68 ($false),
% 6.46/6.68 inference(unit_resolution,[status(thm)],[15774, 16305])).
% 6.46/6.68 tff(16307,plain,((mult(mult(a, b), mult(c, a)) = mult(a, mult(b, mult(c, a)))) | (~(mult(mult(a, c), mult(a, b)) = mult(a, mult(c, mult(a, b))))) | (~(mult(mult(mult(a, c), a), b) = mult(mult(a, c), mult(a, b)))) | (~(mult(mult(c, a), b) = mult(c, mult(a, b)))) | (~(mult(mult(mult(a, b), a), c) = mult(mult(a, b), mult(c, a))))), inference(lemma,lemma(discharge,[]))).
% 6.46/6.68 tff(16308,plain,
% 6.46/6.68 ((mult(mult(a, b), mult(c, a)) = mult(a, mult(b, mult(c, a)))) | (~(mult(mult(a, c), mult(a, b)) = mult(a, mult(c, mult(a, b))))) | (~(mult(mult(mult(a, c), a), b) = mult(mult(a, c), mult(a, b)))) | (~(mult(mult(c, a), b) = mult(c, mult(a, b))))),
% 6.46/6.69 inference(unit_resolution,[status(thm)],[16307, 9222])).
% 6.46/6.69 tff(16309,plain,
% 6.46/6.69 (mult(mult(a, b), mult(c, a)) = mult(a, mult(b, mult(c, a)))),
% 6.46/6.69 inference(unit_resolution,[status(thm)],[16308, 16042, 15757, 15733])).
% 6.46/6.69 tff(16310,plain,
% 6.46/6.69 (mult(a, mult(mult(mult(a, b), c), a)) = mult(a, mult(mult(a, mult(b, c)), a))),
% 6.46/6.69 inference(monotonicity,[status(thm)],[793])).
% 6.46/6.69 tff(16311,plain,
% 6.46/6.69 (mult(a, mult(mult(a, mult(b, c)), a)) = mult(a, mult(mult(mult(a, b), c), a))),
% 6.46/6.69 inference(symmetry,[status(thm)],[16310])).
% 6.46/6.69 tff(16312,assumption,(mult(mult(mult(a, mult(a, b)), c), a) = mult(mult(a, mult(a, b)), mult(c, a))), introduced(assumption)).
% 6.46/6.69 tff(16313,plain,
% 6.46/6.69 (mult(mult(a, mult(a, b)), mult(c, a)) = mult(mult(mult(a, mult(a, b)), c), a)),
% 6.46/6.69 inference(symmetry,[status(thm)],[16312])).
% 6.46/6.69 tff(16314,plain,
% 6.46/6.69 (mult(a, mult(a, mult(b, mult(c, a)))) = mult(a, mult(mult(a, b), mult(c, a)))),
% 6.46/6.69 inference(monotonicity,[status(thm)],[3682])).
% 6.46/6.69 tff(16315,plain,
% 6.46/6.69 (mult(a, mult(a, mult(b, mult(c, a)))) = mult(a, mult(mult(mult(a, b), c), a))),
% 6.46/6.69 inference(transitivity,[status(thm)],[16314, 11859, 16313, 15955, 5500, 16311])).
% 6.46/6.69 tff(16316,plain,
% 6.46/6.69 (ld(a, mult(a, mult(a, mult(b, mult(c, a))))) = ld(a, mult(a, mult(mult(mult(a, b), c), a)))),
% 6.46/6.69 inference(monotonicity,[status(thm)],[16315])).
% 6.46/6.69 tff(16317,plain,
% 6.46/6.69 (mult(a, mult(b, mult(c, a))) = mult(mult(mult(a, b), c), a)),
% 6.46/6.69 inference(transitivity,[status(thm)],[16175, 16316, 14459])).
% 6.46/6.69 tff(16318,plain,
% 6.46/6.69 ($false),
% 6.46/6.69 inference(unit_resolution,[status(thm)],[194, 16317])).
% 6.46/6.69 tff(16319,plain,((~(mult(mult(mult(a, mult(a, b)), c), a) = mult(mult(a, mult(a, b)), mult(c, a)))) | (~(mult(mult(a, mult(a, b)), mult(c, a)) = mult(a, mult(mult(a, b), mult(c, a))))) | (~(mult(mult(mult(a, a), b), c) = mult(mult(a, a), mult(b, c)))) | (~(mult(mult(a, a), b) = mult(a, mult(a, b)))) | (~(mult(mult(a, b), c) = mult(a, mult(b, c)))) | (~(mult(mult(a, b), mult(c, a)) = mult(a, mult(b, mult(c, a)))))), inference(lemma,lemma(discharge,[]))).
% 6.46/6.69 tff(16320,plain,
% 6.46/6.69 ((~(mult(mult(mult(a, mult(a, b)), c), a) = mult(mult(a, mult(a, b)), mult(c, a)))) | (~(mult(mult(a, mult(a, b)), mult(c, a)) = mult(a, mult(mult(a, b), mult(c, a))))) | (~(mult(mult(mult(a, a), b), c) = mult(mult(a, a), mult(b, c)))) | (~(mult(mult(a, b), c) = mult(a, mult(b, c)))) | (~(mult(mult(a, b), mult(c, a)) = mult(a, mult(b, mult(c, a)))))),
% 6.46/6.69 inference(unit_resolution,[status(thm)],[16319, 4190])).
% 6.46/6.69 tff(16321,plain,
% 6.46/6.69 ((~(mult(mult(mult(a, mult(a, b)), c), a) = mult(mult(a, mult(a, b)), mult(c, a)))) | (~(mult(mult(a, mult(a, b)), mult(c, a)) = mult(a, mult(mult(a, b), mult(c, a))))) | (~(mult(mult(mult(a, a), b), c) = mult(mult(a, a), mult(b, c)))) | (~(mult(mult(a, b), mult(c, a)) = mult(a, mult(b, mult(c, a)))))),
% 6.46/6.69 inference(unit_resolution,[status(thm)],[16320, 8959])).
% 6.46/6.69 tff(16322,plain,
% 6.46/6.69 (~(mult(mult(mult(a, mult(a, b)), c), a) = mult(mult(a, mult(a, b)), mult(c, a)))),
% 6.46/6.69 inference(unit_resolution,[status(thm)],[16321, 16293, 16309, 16299])).
% 6.46/6.69 tff(16323,plain,
% 6.46/6.69 (~(mult(mult(mult(mult(a, a), b), c), a) = mult(mult(mult(a, a), b), mult(c, a)))),
% 6.46/6.69 inference(modus_ponens,[status(thm)],[16322, 16297])).
% 6.46/6.69 tff(16324,plain,
% 6.46/6.69 (((~(mult(mult(mult(mult(a, a), b), a), c) = mult(mult(mult(a, a), b), mult(a, c)))) | (~(mult(mult(mult(mult(a, a), b), c), a) = mult(mult(mult(a, a), b), mult(c, a))))) | (mult(mult(mult(mult(a, a), b), c), a) = mult(mult(mult(a, a), b), mult(c, a)))),
% 6.46/6.69 inference(tautology,[status(thm)],[])).
% 6.46/6.69 tff(16325,plain,
% 6.46/6.69 ((~(mult(mult(mult(mult(a, a), b), a), c) = mult(mult(mult(a, a), b), mult(a, c)))) | (~(mult(mult(mult(mult(a, a), b), c), a) = mult(mult(mult(a, a), b), mult(c, a))))),
% 6.46/6.69 inference(unit_resolution,[status(thm)],[16324, 16323])).
% 6.46/6.69 tff(16326,plain,
% 6.46/6.69 (((~![X0: $i, X1: $i, X2: $i] : ((~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X2, X1)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X1, X2)))))) | (~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X1, X2)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X2, X1)))))))) | ((~((~(mult(mult(mult(mult(a, a), b), a), c) = mult(mult(mult(a, a), b), mult(a, c)))) | (~(mult(mult(mult(mult(a, a), b), c), a) = mult(mult(mult(a, a), b), mult(c, a)))))) | (~((~(mult(mult(mult(mult(a, a), b), a), c) = mult(mult(mult(a, a), b), mult(c, a)))) | (~(mult(mult(mult(mult(a, a), b), c), a) = mult(mult(mult(a, a), b), mult(a, c)))))))) <=> ((~![X0: $i, X1: $i, X2: $i] : ((~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X2, X1)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X1, X2)))))) | (~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X1, X2)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X2, X1)))))))) | (~((~(mult(mult(mult(mult(a, a), b), a), c) = mult(mult(mult(a, a), b), mult(a, c)))) | (~(mult(mult(mult(mult(a, a), b), c), a) = mult(mult(mult(a, a), b), mult(c, a)))))) | (~((~(mult(mult(mult(mult(a, a), b), a), c) = mult(mult(mult(a, a), b), mult(c, a)))) | (~(mult(mult(mult(mult(a, a), b), c), a) = mult(mult(mult(a, a), b), mult(a, c)))))))),
% 6.46/6.69 inference(rewrite,[status(thm)],[])).
% 6.46/6.69 tff(16327,plain,
% 6.46/6.69 (((~((~(mult(mult(mult(mult(a, a), b), a), c) = mult(mult(mult(a, a), b), mult(c, a)))) | (~(mult(mult(mult(mult(a, a), b), c), a) = mult(mult(mult(a, a), b), mult(a, c)))))) | (~((~(mult(mult(mult(mult(a, a), b), a), c) = mult(mult(mult(a, a), b), mult(a, c)))) | (~(mult(mult(mult(mult(a, a), b), c), a) = mult(mult(mult(a, a), b), mult(c, a))))))) <=> ((~((~(mult(mult(mult(mult(a, a), b), a), c) = mult(mult(mult(a, a), b), mult(a, c)))) | (~(mult(mult(mult(mult(a, a), b), c), a) = mult(mult(mult(a, a), b), mult(c, a)))))) | (~((~(mult(mult(mult(mult(a, a), b), a), c) = mult(mult(mult(a, a), b), mult(c, a)))) | (~(mult(mult(mult(mult(a, a), b), c), a) = mult(mult(mult(a, a), b), mult(a, c)))))))),
% 6.46/6.69 inference(rewrite,[status(thm)],[])).
% 6.46/6.69 tff(16328,plain,
% 6.46/6.69 (((~![X0: $i, X1: $i, X2: $i] : ((~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X2, X1)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X1, X2)))))) | (~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X1, X2)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X2, X1)))))))) | ((~((~(mult(mult(mult(mult(a, a), b), a), c) = mult(mult(mult(a, a), b), mult(c, a)))) | (~(mult(mult(mult(mult(a, a), b), c), a) = mult(mult(mult(a, a), b), mult(a, c)))))) | (~((~(mult(mult(mult(mult(a, a), b), a), c) = mult(mult(mult(a, a), b), mult(a, c)))) | (~(mult(mult(mult(mult(a, a), b), c), a) = mult(mult(mult(a, a), b), mult(c, a)))))))) <=> ((~![X0: $i, X1: $i, X2: $i] : ((~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X2, X1)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X1, X2)))))) | (~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X1, X2)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X2, X1)))))))) | ((~((~(mult(mult(mult(mult(a, a), b), a), c) = mult(mult(mult(a, a), b), mult(a, c)))) | (~(mult(mult(mult(mult(a, a), b), c), a) = mult(mult(mult(a, a), b), mult(c, a)))))) | (~((~(mult(mult(mult(mult(a, a), b), a), c) = mult(mult(mult(a, a), b), mult(c, a)))) | (~(mult(mult(mult(mult(a, a), b), c), a) = mult(mult(mult(a, a), b), mult(a, c))))))))),
% 6.46/6.69 inference(monotonicity,[status(thm)],[16327])).
% 6.46/6.69 tff(16329,plain,
% 6.46/6.69 (((~![X0: $i, X1: $i, X2: $i] : ((~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X2, X1)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X1, X2)))))) | (~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X1, X2)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X2, X1)))))))) | ((~((~(mult(mult(mult(mult(a, a), b), a), c) = mult(mult(mult(a, a), b), mult(c, a)))) | (~(mult(mult(mult(mult(a, a), b), c), a) = mult(mult(mult(a, a), b), mult(a, c)))))) | (~((~(mult(mult(mult(mult(a, a), b), a), c) = mult(mult(mult(a, a), b), mult(a, c)))) | (~(mult(mult(mult(mult(a, a), b), c), a) = mult(mult(mult(a, a), b), mult(c, a)))))))) <=> ((~![X0: $i, X1: $i, X2: $i] : ((~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X2, X1)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X1, X2)))))) | (~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X1, X2)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X2, X1)))))))) | (~((~(mult(mult(mult(mult(a, a), b), a), c) = mult(mult(mult(a, a), b), mult(a, c)))) | (~(mult(mult(mult(mult(a, a), b), c), a) = mult(mult(mult(a, a), b), mult(c, a)))))) | (~((~(mult(mult(mult(mult(a, a), b), a), c) = mult(mult(mult(a, a), b), mult(c, a)))) | (~(mult(mult(mult(mult(a, a), b), c), a) = mult(mult(mult(a, a), b), mult(a, c)))))))),
% 6.46/6.69 inference(transitivity,[status(thm)],[16328, 16326])).
% 6.46/6.69 tff(16330,plain,
% 6.46/6.69 ((~![X0: $i, X1: $i, X2: $i] : ((~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X2, X1)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X1, X2)))))) | (~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X1, X2)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X2, X1)))))))) | ((~((~(mult(mult(mult(mult(a, a), b), a), c) = mult(mult(mult(a, a), b), mult(c, a)))) | (~(mult(mult(mult(mult(a, a), b), c), a) = mult(mult(mult(a, a), b), mult(a, c)))))) | (~((~(mult(mult(mult(mult(a, a), b), a), c) = mult(mult(mult(a, a), b), mult(a, c)))) | (~(mult(mult(mult(mult(a, a), b), c), a) = mult(mult(mult(a, a), b), mult(c, a)))))))),
% 6.46/6.69 inference(quant_inst,[status(thm)],[])).
% 6.46/6.69 tff(16331,plain,
% 6.46/6.69 ((~![X0: $i, X1: $i, X2: $i] : ((~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X2, X1)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X1, X2)))))) | (~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X1, X2)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X2, X1)))))))) | (~((~(mult(mult(mult(mult(a, a), b), a), c) = mult(mult(mult(a, a), b), mult(a, c)))) | (~(mult(mult(mult(mult(a, a), b), c), a) = mult(mult(mult(a, a), b), mult(c, a)))))) | (~((~(mult(mult(mult(mult(a, a), b), a), c) = mult(mult(mult(a, a), b), mult(c, a)))) | (~(mult(mult(mult(mult(a, a), b), c), a) = mult(mult(mult(a, a), b), mult(a, c))))))),
% 6.46/6.69 inference(modus_ponens,[status(thm)],[16330, 16329])).
% 6.46/6.69 tff(16332,plain,
% 6.46/6.69 ((~((~(mult(mult(mult(mult(a, a), b), a), c) = mult(mult(mult(a, a), b), mult(a, c)))) | (~(mult(mult(mult(mult(a, a), b), c), a) = mult(mult(mult(a, a), b), mult(c, a)))))) | (~((~(mult(mult(mult(mult(a, a), b), a), c) = mult(mult(mult(a, a), b), mult(c, a)))) | (~(mult(mult(mult(mult(a, a), b), c), a) = mult(mult(mult(a, a), b), mult(a, c))))))),
% 6.46/6.69 inference(unit_resolution,[status(thm)],[16331, 30])).
% 6.46/6.69 tff(16333,plain,
% 6.46/6.69 (~((~(mult(mult(mult(mult(a, a), b), a), c) = mult(mult(mult(a, a), b), mult(c, a)))) | (~(mult(mult(mult(mult(a, a), b), c), a) = mult(mult(mult(a, a), b), mult(a, c)))))),
% 6.46/6.69 inference(unit_resolution,[status(thm)],[16332, 16325])).
% 6.46/6.69 tff(16334,plain,
% 6.46/6.69 (((~(mult(mult(mult(mult(a, a), b), a), c) = mult(mult(mult(a, a), b), mult(c, a)))) | (~(mult(mult(mult(mult(a, a), b), c), a) = mult(mult(mult(a, a), b), mult(a, c))))) | (mult(mult(mult(mult(a, a), b), a), c) = mult(mult(mult(a, a), b), mult(c, a)))),
% 6.46/6.69 inference(tautology,[status(thm)],[])).
% 6.46/6.69 tff(16335,plain,
% 6.46/6.69 (mult(mult(mult(mult(a, a), b), a), c) = mult(mult(mult(a, a), b), mult(c, a))),
% 6.46/6.69 inference(unit_resolution,[status(thm)],[16334, 16333])).
% 6.46/6.69 tff(16336,plain,
% 6.46/6.69 (mult(mult(a, c), mult(mult(a, b), a)) = mult(a, mult(c, mult(mult(a, b), a)))),
% 6.46/6.69 inference(unit_resolution,[status(thm)],[13660, 16335, 16293])).
% 6.46/6.69 tff(16337,plain,
% 6.46/6.69 ((~![B: $i, A: $i] : (rd(mult(A, B), B) = A)) | (rd(mult(mult(b, a), mult(c, a)), mult(c, a)) = mult(b, a))),
% 6.46/6.69 inference(quant_inst,[status(thm)],[])).
% 6.46/6.69 tff(16338,plain,
% 6.46/6.69 (rd(mult(mult(b, a), mult(c, a)), mult(c, a)) = mult(b, a)),
% 6.46/6.69 inference(unit_resolution,[status(thm)],[16337, 72])).
% 6.46/6.69 tff(16339,plain,
% 6.46/6.69 (mult(a, mult(mult(b, a), c)) = mult(mult(a, mult(b, a)), c)),
% 6.46/6.69 inference(symmetry,[status(thm)],[15803])).
% 6.46/6.69 tff(16340,plain,
% 6.46/6.69 (mult(a, mult(b, mult(c, a))) = mult(mult(mult(a, b), a), c)),
% 6.46/6.69 inference(transitivity,[status(thm)],[13277, 16339, 8336])).
% 6.46/6.69 tff(16341,plain,
% 6.46/6.69 (mult(mult(b, a), mult(a, mult(b, mult(c, a)))) = mult(mult(b, a), mult(mult(mult(a, b), a), c))),
% 6.46/6.69 inference(monotonicity,[status(thm)],[16340])).
% 6.46/6.69 tff(16342,plain,
% 6.46/6.69 (~(mult(mult(mult(b, a), c), a) = mult(mult(b, a), mult(c, a)))),
% 6.46/6.69 inference(unit_resolution,[status(thm)],[3516, 15825])).
% 6.46/6.69 tff(16343,plain,
% 6.46/6.69 ((~![B: $i, A: $i] : (rd(mult(A, B), B) = A)) | (rd(mult(mult(mult(b, a), mult(c, a)), mult(b, a)), mult(b, a)) = mult(mult(b, a), mult(c, a)))),
% 6.46/6.69 inference(quant_inst,[status(thm)],[])).
% 6.46/6.69 tff(16344,plain,
% 6.46/6.69 (rd(mult(mult(mult(b, a), mult(c, a)), mult(b, a)), mult(b, a)) = mult(mult(b, a), mult(c, a))),
% 6.46/6.69 inference(unit_resolution,[status(thm)],[16343, 72])).
% 6.46/6.69 tff(16345,assumption,(mult(mult(mult(b, a), a), mult(b, mult(c, a))) = mult(mult(b, a), mult(mult(b, mult(c, a)), a))), introduced(assumption)).
% 6.46/6.69 tff(16346,plain,
% 6.46/6.69 (((~(mult(mult(mult(mult(b, a), a), mult(b, a)), c) = mult(mult(mult(b, a), a), mult(mult(b, a), c)))) | (~(mult(mult(mult(mult(b, a), a), c), mult(b, a)) = mult(mult(mult(b, a), a), mult(c, mult(b, a)))))) | (mult(mult(mult(mult(b, a), a), c), mult(b, a)) = mult(mult(mult(b, a), a), mult(c, mult(b, a))))),
% 6.46/6.69 inference(tautology,[status(thm)],[])).
% 6.46/6.69 tff(16347,plain,
% 6.46/6.69 ((~(mult(mult(mult(mult(b, a), a), mult(b, a)), c) = mult(mult(mult(b, a), a), mult(mult(b, a), c)))) | (~(mult(mult(mult(mult(b, a), a), c), mult(b, a)) = mult(mult(mult(b, a), a), mult(c, mult(b, a)))))),
% 6.46/6.69 inference(unit_resolution,[status(thm)],[16346, 16011])).
% 6.46/6.69 tff(16348,plain,
% 6.46/6.69 (((~![X0: $i, X1: $i, X2: $i] : ((~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X2, X1)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X1, X2)))))) | (~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X1, X2)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X2, X1)))))))) | ((~((~(mult(mult(mult(mult(b, a), a), mult(b, a)), c) = mult(mult(mult(b, a), a), mult(c, mult(b, a))))) | (~(mult(mult(mult(mult(b, a), a), c), mult(b, a)) = mult(mult(mult(b, a), a), mult(mult(b, a), c)))))) | (~((~(mult(mult(mult(mult(b, a), a), mult(b, a)), c) = mult(mult(mult(b, a), a), mult(mult(b, a), c)))) | (~(mult(mult(mult(mult(b, a), a), c), mult(b, a)) = mult(mult(mult(b, a), a), mult(c, mult(b, a))))))))) <=> ((~![X0: $i, X1: $i, X2: $i] : ((~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X2, X1)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X1, X2)))))) | (~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X1, X2)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X2, X1)))))))) | (~((~(mult(mult(mult(mult(b, a), a), mult(b, a)), c) = mult(mult(mult(b, a), a), mult(c, mult(b, a))))) | (~(mult(mult(mult(mult(b, a), a), c), mult(b, a)) = mult(mult(mult(b, a), a), mult(mult(b, a), c)))))) | (~((~(mult(mult(mult(mult(b, a), a), mult(b, a)), c) = mult(mult(mult(b, a), a), mult(mult(b, a), c)))) | (~(mult(mult(mult(mult(b, a), a), c), mult(b, a)) = mult(mult(mult(b, a), a), mult(c, mult(b, a))))))))),
% 6.46/6.69 inference(rewrite,[status(thm)],[])).
% 6.46/6.69 tff(16349,plain,
% 6.46/6.69 ((~![X0: $i, X1: $i, X2: $i] : ((~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X2, X1)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X1, X2)))))) | (~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X1, X2)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X2, X1)))))))) | ((~((~(mult(mult(mult(mult(b, a), a), mult(b, a)), c) = mult(mult(mult(b, a), a), mult(c, mult(b, a))))) | (~(mult(mult(mult(mult(b, a), a), c), mult(b, a)) = mult(mult(mult(b, a), a), mult(mult(b, a), c)))))) | (~((~(mult(mult(mult(mult(b, a), a), mult(b, a)), c) = mult(mult(mult(b, a), a), mult(mult(b, a), c)))) | (~(mult(mult(mult(mult(b, a), a), c), mult(b, a)) = mult(mult(mult(b, a), a), mult(c, mult(b, a))))))))),
% 6.46/6.69 inference(quant_inst,[status(thm)],[])).
% 6.46/6.69 tff(16350,plain,
% 6.46/6.69 ((~![X0: $i, X1: $i, X2: $i] : ((~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X2, X1)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X1, X2)))))) | (~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X1, X2)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X2, X1)))))))) | (~((~(mult(mult(mult(mult(b, a), a), mult(b, a)), c) = mult(mult(mult(b, a), a), mult(c, mult(b, a))))) | (~(mult(mult(mult(mult(b, a), a), c), mult(b, a)) = mult(mult(mult(b, a), a), mult(mult(b, a), c)))))) | (~((~(mult(mult(mult(mult(b, a), a), mult(b, a)), c) = mult(mult(mult(b, a), a), mult(mult(b, a), c)))) | (~(mult(mult(mult(mult(b, a), a), c), mult(b, a)) = mult(mult(mult(b, a), a), mult(c, mult(b, a)))))))),
% 6.46/6.69 inference(modus_ponens,[status(thm)],[16349, 16348])).
% 6.46/6.69 tff(16351,plain,
% 6.46/6.69 (~((~(mult(mult(mult(mult(b, a), a), mult(b, a)), c) = mult(mult(mult(b, a), a), mult(c, mult(b, a))))) | (~(mult(mult(mult(mult(b, a), a), c), mult(b, a)) = mult(mult(mult(b, a), a), mult(mult(b, a), c)))))),
% 6.46/6.70 inference(unit_resolution,[status(thm)],[16350, 30, 16347])).
% 6.46/6.70 tff(16352,plain,
% 6.46/6.70 (((~(mult(mult(mult(mult(b, a), a), mult(b, a)), c) = mult(mult(mult(b, a), a), mult(c, mult(b, a))))) | (~(mult(mult(mult(mult(b, a), a), c), mult(b, a)) = mult(mult(mult(b, a), a), mult(mult(b, a), c))))) | (mult(mult(mult(mult(b, a), a), c), mult(b, a)) = mult(mult(mult(b, a), a), mult(mult(b, a), c)))),
% 6.46/6.70 inference(tautology,[status(thm)],[])).
% 6.46/6.70 tff(16353,plain,
% 6.46/6.70 (mult(mult(mult(mult(b, a), a), c), mult(b, a)) = mult(mult(mult(b, a), a), mult(mult(b, a), c))),
% 6.46/6.70 inference(unit_resolution,[status(thm)],[16352, 16351])).
% 6.46/6.70 tff(16354,plain,
% 6.46/6.70 (mult(mult(mult(b, a), mult(c, a)), mult(b, a)) = mult(mult(mult(mult(b, a), a), c), mult(b, a))),
% 6.46/6.70 inference(monotonicity,[status(thm)],[8355])).
% 6.46/6.70 tff(16355,plain,
% 6.46/6.70 (mult(mult(mult(b, a), mult(c, a)), mult(b, a)) = mult(mult(mult(b, a), mult(a, c)), mult(b, a))),
% 6.46/6.70 inference(transitivity,[status(thm)],[16354, 16353, 14267, 16345, 14242, 8736])).
% 6.46/6.70 tff(16356,plain,
% 6.46/6.70 (rd(mult(mult(mult(b, a), mult(c, a)), mult(b, a)), mult(b, a)) = rd(mult(mult(mult(b, a), mult(a, c)), mult(b, a)), mult(b, a))),
% 6.46/6.70 inference(monotonicity,[status(thm)],[16355])).
% 6.46/6.70 tff(16357,plain,
% 6.46/6.70 (rd(mult(mult(mult(b, a), mult(a, c)), mult(b, a)), mult(b, a)) = rd(mult(mult(mult(b, a), mult(c, a)), mult(b, a)), mult(b, a))),
% 6.46/6.70 inference(symmetry,[status(thm)],[16356])).
% 6.46/6.70 tff(16358,plain,
% 6.46/6.70 (mult(mult(b, a), mult(a, c)) = rd(mult(mult(mult(b, a), mult(a, c)), mult(b, a)), mult(b, a))),
% 6.46/6.70 inference(symmetry,[status(thm)],[10981])).
% 6.46/6.70 tff(16359,plain,
% 6.46/6.70 (mult(mult(mult(b, a), c), a) = mult(mult(b, a), mult(c, a))),
% 6.46/6.70 inference(transitivity,[status(thm)],[3530, 16358, 16357, 16344])).
% 6.46/6.70 tff(16360,plain,
% 6.46/6.70 ($false),
% 6.46/6.70 inference(unit_resolution,[status(thm)],[14297, 16359])).
% 6.46/6.70 tff(16361,plain,((~(mult(mult(mult(b, a), a), mult(b, mult(c, a))) = mult(mult(b, a), mult(mult(b, mult(c, a)), a)))) | (mult(mult(mult(b, a), c), a) = mult(mult(b, a), mult(c, a))) | (~(mult(mult(mult(b, a), mult(a, c)), mult(b, a)) = mult(mult(b, a), mult(mult(b, a), mult(a, c))))) | (mult(mult(mult(mult(b, a), a), c), mult(b, a)) = mult(mult(mult(b, a), a), mult(c, mult(b, a))))), inference(lemma,lemma(discharge,[]))).
% 6.46/6.70 tff(16362,plain,
% 6.46/6.70 (~(mult(mult(mult(b, a), a), mult(b, mult(c, a))) = mult(mult(b, a), mult(mult(b, mult(c, a)), a)))),
% 6.46/6.70 inference(unit_resolution,[status(thm)],[16361, 16011, 8734, 16342])).
% 6.46/6.70 tff(16363,plain,
% 6.46/6.70 ((~(mult(mult(mult(b, a), a), mult(b, mult(c, a))) = mult(mult(b, a), mult(mult(b, mult(c, a)), a)))) | (~(mult(mult(mult(b, a), mult(b, mult(c, a))), a) = mult(mult(b, a), mult(a, mult(b, mult(c, a))))))),
% 6.46/6.70 inference(unit_resolution,[status(thm)],[14265, 16362])).
% 6.46/6.70 tff(16364,plain,
% 6.46/6.70 ((~![X0: $i, X1: $i, X2: $i] : ((~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X2, X1)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X1, X2)))))) | (~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X1, X2)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X2, X1)))))))) | ((~((~(mult(mult(mult(b, a), a), mult(b, mult(c, a))) = mult(mult(b, a), mult(mult(b, mult(c, a)), a)))) | (~(mult(mult(mult(b, a), mult(b, mult(c, a))), a) = mult(mult(b, a), mult(a, mult(b, mult(c, a)))))))) | (~((~(mult(mult(mult(b, a), a), mult(b, mult(c, a))) = mult(mult(b, a), mult(a, mult(b, mult(c, a)))))) | (~(mult(mult(mult(b, a), mult(b, mult(c, a))), a) = mult(mult(b, a), mult(mult(b, mult(c, a)), a)))))))),
% 6.46/6.70 inference(quant_inst,[status(thm)],[])).
% 6.46/6.70 tff(16365,plain,
% 6.46/6.70 ((~![X0: $i, X1: $i, X2: $i] : ((~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X2, X1)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X1, X2)))))) | (~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X1, X2)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X2, X1)))))))) | (~((~(mult(mult(mult(b, a), a), mult(b, mult(c, a))) = mult(mult(b, a), mult(mult(b, mult(c, a)), a)))) | (~(mult(mult(mult(b, a), mult(b, mult(c, a))), a) = mult(mult(b, a), mult(a, mult(b, mult(c, a)))))))) | (~((~(mult(mult(mult(b, a), a), mult(b, mult(c, a))) = mult(mult(b, a), mult(a, mult(b, mult(c, a)))))) | (~(mult(mult(mult(b, a), mult(b, mult(c, a))), a) = mult(mult(b, a), mult(mult(b, mult(c, a)), a))))))),
% 6.46/6.70 inference(modus_ponens,[status(thm)],[16364, 14253])).
% 6.46/6.70 tff(16366,plain,
% 6.46/6.70 ((~((~(mult(mult(mult(b, a), a), mult(b, mult(c, a))) = mult(mult(b, a), mult(mult(b, mult(c, a)), a)))) | (~(mult(mult(mult(b, a), mult(b, mult(c, a))), a) = mult(mult(b, a), mult(a, mult(b, mult(c, a)))))))) | (~((~(mult(mult(mult(b, a), a), mult(b, mult(c, a))) = mult(mult(b, a), mult(a, mult(b, mult(c, a)))))) | (~(mult(mult(mult(b, a), mult(b, mult(c, a))), a) = mult(mult(b, a), mult(mult(b, mult(c, a)), a))))))),
% 6.46/6.70 inference(unit_resolution,[status(thm)],[16365, 30])).
% 6.46/6.70 tff(16367,plain,
% 6.46/6.70 (~((~(mult(mult(mult(b, a), a), mult(b, mult(c, a))) = mult(mult(b, a), mult(a, mult(b, mult(c, a)))))) | (~(mult(mult(mult(b, a), mult(b, mult(c, a))), a) = mult(mult(b, a), mult(mult(b, mult(c, a)), a)))))),
% 6.46/6.70 inference(unit_resolution,[status(thm)],[16366, 16363])).
% 6.46/6.70 tff(16368,plain,
% 6.46/6.70 (mult(mult(mult(b, a), a), mult(b, mult(c, a))) = mult(mult(b, a), mult(a, mult(b, mult(c, a))))),
% 6.46/6.70 inference(unit_resolution,[status(thm)],[15008, 16367])).
% 6.46/6.70 tff(16369,plain,
% 6.46/6.70 (mult(mult(b, a), mult(c, mult(mult(a, b), a))) = mult(mult(mult(b, a), c), mult(mult(a, b), a))),
% 6.46/6.70 inference(symmetry,[status(thm)],[15835])).
% 6.46/6.70 tff(16370,plain,
% 6.46/6.70 (mult(mult(c, a), mult(b, a)) = mult(mult(mult(c, a), b), a)),
% 6.46/6.70 inference(transitivity,[status(thm)],[15831, 4516, 2808])).
% 6.46/6.70 tff(16371,plain,
% 6.46/6.70 (mult(mult(b, a), mult(mult(c, a), mult(b, a))) = mult(mult(b, a), mult(mult(mult(c, a), b), a))),
% 6.46/6.70 inference(monotonicity,[status(thm)],[16370])).
% 6.46/6.70 tff(16372,plain,
% 6.46/6.70 (mult(mult(b, a), mult(mult(c, a), mult(b, a))) = mult(mult(mult(b, a), c), mult(mult(a, b), a))),
% 6.46/6.70 inference(transitivity,[status(thm)],[16371, 11948, 16369])).
% 6.46/6.70 tff(16373,plain,
% 6.46/6.70 (mult(mult(mult(b, a), mult(c, a)), mult(b, a)) = mult(mult(b, a), mult(mult(mult(a, b), a), c))),
% 6.46/6.70 inference(transitivity,[status(thm)],[16354, 16353, 14267, 16368, 16341])).
% 6.46/6.70 tff(16374,plain,
% 6.46/6.70 ((mult(mult(mult(b, a), mult(c, a)), mult(b, a)) = mult(mult(b, a), mult(mult(c, a), mult(b, a)))) <=> (mult(mult(b, a), mult(mult(mult(a, b), a), c)) = mult(mult(mult(b, a), c), mult(mult(a, b), a)))),
% 6.46/6.70 inference(monotonicity,[status(thm)],[16373, 16372])).
% 6.46/6.70 tff(16375,plain,
% 6.46/6.70 ((mult(mult(mult(b, a), mult(c, a)), mult(b, a)) = mult(mult(b, a), mult(mult(c, a), mult(b, a)))) <=> (mult(mult(mult(b, a), c), mult(mult(a, b), a)) = mult(mult(b, a), mult(mult(mult(a, b), a), c)))),
% 6.46/6.70 inference(transitivity,[status(thm)],[16374, 15227])).
% 6.46/6.70 tff(16376,plain,
% 6.46/6.70 ((mult(mult(mult(b, a), c), mult(mult(a, b), a)) = mult(mult(b, a), mult(mult(mult(a, b), a), c))) <=> (mult(mult(mult(b, a), mult(c, a)), mult(b, a)) = mult(mult(b, a), mult(mult(c, a), mult(b, a))))),
% 6.46/6.70 inference(symmetry,[status(thm)],[16375])).
% 6.46/6.70 tff(16377,plain,
% 6.46/6.70 ((~(mult(mult(mult(b, a), c), mult(mult(a, b), a)) = mult(mult(b, a), mult(mult(mult(a, b), a), c)))) <=> (~(mult(mult(mult(b, a), mult(c, a)), mult(b, a)) = mult(mult(b, a), mult(mult(c, a), mult(b, a)))))),
% 6.46/6.70 inference(monotonicity,[status(thm)],[16376])).
% 6.46/6.70 tff(16378,plain,
% 6.46/6.70 (~(mult(mult(mult(b, a), mult(c, a)), mult(b, a)) = mult(mult(b, a), mult(mult(c, a), mult(b, a))))),
% 6.46/6.70 inference(modus_ponens,[status(thm)],[15832, 16377])).
% 6.46/6.70 tff(16379,plain,
% 6.46/6.70 (((~(mult(mult(mult(b, a), mult(c, a)), mult(b, a)) = mult(mult(b, a), mult(mult(c, a), mult(b, a))))) | (~(mult(mult(mult(b, a), mult(b, a)), mult(c, a)) = mult(mult(b, a), mult(mult(b, a), mult(c, a)))))) | (mult(mult(mult(b, a), mult(c, a)), mult(b, a)) = mult(mult(b, a), mult(mult(c, a), mult(b, a))))),
% 6.46/6.70 inference(tautology,[status(thm)],[])).
% 6.46/6.70 tff(16380,plain,
% 6.46/6.70 ((~(mult(mult(mult(b, a), mult(c, a)), mult(b, a)) = mult(mult(b, a), mult(mult(c, a), mult(b, a))))) | (~(mult(mult(mult(b, a), mult(b, a)), mult(c, a)) = mult(mult(b, a), mult(mult(b, a), mult(c, a)))))),
% 6.46/6.70 inference(unit_resolution,[status(thm)],[16379, 16378])).
% 6.46/6.70 tff(16381,plain,
% 6.46/6.70 (((~![X0: $i, X1: $i, X2: $i] : ((~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X2, X1)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X1, X2)))))) | (~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X1, X2)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X2, X1)))))))) | ((~((~(mult(mult(mult(b, a), mult(b, a)), mult(c, a)) = mult(mult(b, a), mult(mult(c, a), mult(b, a))))) | (~(mult(mult(mult(b, a), mult(c, a)), mult(b, a)) = mult(mult(b, a), mult(mult(b, a), mult(c, a))))))) | (~((~(mult(mult(mult(b, a), mult(c, a)), mult(b, a)) = mult(mult(b, a), mult(mult(c, a), mult(b, a))))) | (~(mult(mult(mult(b, a), mult(b, a)), mult(c, a)) = mult(mult(b, a), mult(mult(b, a), mult(c, a))))))))) <=> ((~![X0: $i, X1: $i, X2: $i] : ((~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X2, X1)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X1, X2)))))) | (~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X1, X2)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X2, X1)))))))) | (~((~(mult(mult(mult(b, a), mult(b, a)), mult(c, a)) = mult(mult(b, a), mult(mult(c, a), mult(b, a))))) | (~(mult(mult(mult(b, a), mult(c, a)), mult(b, a)) = mult(mult(b, a), mult(mult(b, a), mult(c, a))))))) | (~((~(mult(mult(mult(b, a), mult(c, a)), mult(b, a)) = mult(mult(b, a), mult(mult(c, a), mult(b, a))))) | (~(mult(mult(mult(b, a), mult(b, a)), mult(c, a)) = mult(mult(b, a), mult(mult(b, a), mult(c, a))))))))),
% 6.46/6.70 inference(rewrite,[status(thm)],[])).
% 6.46/6.70 tff(16382,plain,
% 6.46/6.70 (((~((~(mult(mult(mult(b, a), mult(c, a)), mult(b, a)) = mult(mult(b, a), mult(mult(b, a), mult(c, a))))) | (~(mult(mult(mult(b, a), mult(b, a)), mult(c, a)) = mult(mult(b, a), mult(mult(c, a), mult(b, a))))))) | (~((~(mult(mult(mult(b, a), mult(c, a)), mult(b, a)) = mult(mult(b, a), mult(mult(c, a), mult(b, a))))) | (~(mult(mult(mult(b, a), mult(b, a)), mult(c, a)) = mult(mult(b, a), mult(mult(b, a), mult(c, a)))))))) <=> ((~((~(mult(mult(mult(b, a), mult(b, a)), mult(c, a)) = mult(mult(b, a), mult(mult(c, a), mult(b, a))))) | (~(mult(mult(mult(b, a), mult(c, a)), mult(b, a)) = mult(mult(b, a), mult(mult(b, a), mult(c, a))))))) | (~((~(mult(mult(mult(b, a), mult(c, a)), mult(b, a)) = mult(mult(b, a), mult(mult(c, a), mult(b, a))))) | (~(mult(mult(mult(b, a), mult(b, a)), mult(c, a)) = mult(mult(b, a), mult(mult(b, a), mult(c, a))))))))),
% 6.46/6.70 inference(rewrite,[status(thm)],[])).
% 6.46/6.70 tff(16383,plain,
% 6.46/6.70 (((~![X0: $i, X1: $i, X2: $i] : ((~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X2, X1)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X1, X2)))))) | (~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X1, X2)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X2, X1)))))))) | ((~((~(mult(mult(mult(b, a), mult(c, a)), mult(b, a)) = mult(mult(b, a), mult(mult(b, a), mult(c, a))))) | (~(mult(mult(mult(b, a), mult(b, a)), mult(c, a)) = mult(mult(b, a), mult(mult(c, a), mult(b, a))))))) | (~((~(mult(mult(mult(b, a), mult(c, a)), mult(b, a)) = mult(mult(b, a), mult(mult(c, a), mult(b, a))))) | (~(mult(mult(mult(b, a), mult(b, a)), mult(c, a)) = mult(mult(b, a), mult(mult(b, a), mult(c, a))))))))) <=> ((~![X0: $i, X1: $i, X2: $i] : ((~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X2, X1)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X1, X2)))))) | (~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X1, X2)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X2, X1)))))))) | ((~((~(mult(mult(mult(b, a), mult(b, a)), mult(c, a)) = mult(mult(b, a), mult(mult(c, a), mult(b, a))))) | (~(mult(mult(mult(b, a), mult(c, a)), mult(b, a)) = mult(mult(b, a), mult(mult(b, a), mult(c, a))))))) | (~((~(mult(mult(mult(b, a), mult(c, a)), mult(b, a)) = mult(mult(b, a), mult(mult(c, a), mult(b, a))))) | (~(mult(mult(mult(b, a), mult(b, a)), mult(c, a)) = mult(mult(b, a), mult(mult(b, a), mult(c, a)))))))))),
% 6.46/6.70 inference(monotonicity,[status(thm)],[16382])).
% 6.46/6.70 tff(16384,plain,
% 6.46/6.70 (((~![X0: $i, X1: $i, X2: $i] : ((~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X2, X1)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X1, X2)))))) | (~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X1, X2)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X2, X1)))))))) | ((~((~(mult(mult(mult(b, a), mult(c, a)), mult(b, a)) = mult(mult(b, a), mult(mult(b, a), mult(c, a))))) | (~(mult(mult(mult(b, a), mult(b, a)), mult(c, a)) = mult(mult(b, a), mult(mult(c, a), mult(b, a))))))) | (~((~(mult(mult(mult(b, a), mult(c, a)), mult(b, a)) = mult(mult(b, a), mult(mult(c, a), mult(b, a))))) | (~(mult(mult(mult(b, a), mult(b, a)), mult(c, a)) = mult(mult(b, a), mult(mult(b, a), mult(c, a))))))))) <=> ((~![X0: $i, X1: $i, X2: $i] : ((~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X2, X1)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X1, X2)))))) | (~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X1, X2)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X2, X1)))))))) | (~((~(mult(mult(mult(b, a), mult(b, a)), mult(c, a)) = mult(mult(b, a), mult(mult(c, a), mult(b, a))))) | (~(mult(mult(mult(b, a), mult(c, a)), mult(b, a)) = mult(mult(b, a), mult(mult(b, a), mult(c, a))))))) | (~((~(mult(mult(mult(b, a), mult(c, a)), mult(b, a)) = mult(mult(b, a), mult(mult(c, a), mult(b, a))))) | (~(mult(mult(mult(b, a), mult(b, a)), mult(c, a)) = mult(mult(b, a), mult(mult(b, a), mult(c, a))))))))),
% 6.46/6.70 inference(transitivity,[status(thm)],[16383, 16381])).
% 6.46/6.70 tff(16385,plain,
% 6.46/6.70 ((~![X0: $i, X1: $i, X2: $i] : ((~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X2, X1)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X1, X2)))))) | (~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X1, X2)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X2, X1)))))))) | ((~((~(mult(mult(mult(b, a), mult(c, a)), mult(b, a)) = mult(mult(b, a), mult(mult(b, a), mult(c, a))))) | (~(mult(mult(mult(b, a), mult(b, a)), mult(c, a)) = mult(mult(b, a), mult(mult(c, a), mult(b, a))))))) | (~((~(mult(mult(mult(b, a), mult(c, a)), mult(b, a)) = mult(mult(b, a), mult(mult(c, a), mult(b, a))))) | (~(mult(mult(mult(b, a), mult(b, a)), mult(c, a)) = mult(mult(b, a), mult(mult(b, a), mult(c, a))))))))),
% 6.46/6.70 inference(quant_inst,[status(thm)],[])).
% 6.46/6.70 tff(16386,plain,
% 6.46/6.70 ((~![X0: $i, X1: $i, X2: $i] : ((~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X2, X1)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X1, X2)))))) | (~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X1, X2)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X2, X1)))))))) | (~((~(mult(mult(mult(b, a), mult(b, a)), mult(c, a)) = mult(mult(b, a), mult(mult(c, a), mult(b, a))))) | (~(mult(mult(mult(b, a), mult(c, a)), mult(b, a)) = mult(mult(b, a), mult(mult(b, a), mult(c, a))))))) | (~((~(mult(mult(mult(b, a), mult(c, a)), mult(b, a)) = mult(mult(b, a), mult(mult(c, a), mult(b, a))))) | (~(mult(mult(mult(b, a), mult(b, a)), mult(c, a)) = mult(mult(b, a), mult(mult(b, a), mult(c, a)))))))),
% 6.46/6.70 inference(modus_ponens,[status(thm)],[16385, 16384])).
% 6.46/6.70 tff(16387,plain,
% 6.46/6.70 ((~((~(mult(mult(mult(b, a), mult(b, a)), mult(c, a)) = mult(mult(b, a), mult(mult(c, a), mult(b, a))))) | (~(mult(mult(mult(b, a), mult(c, a)), mult(b, a)) = mult(mult(b, a), mult(mult(b, a), mult(c, a))))))) | (~((~(mult(mult(mult(b, a), mult(c, a)), mult(b, a)) = mult(mult(b, a), mult(mult(c, a), mult(b, a))))) | (~(mult(mult(mult(b, a), mult(b, a)), mult(c, a)) = mult(mult(b, a), mult(mult(b, a), mult(c, a)))))))),
% 6.46/6.70 inference(unit_resolution,[status(thm)],[16386, 30])).
% 6.46/6.70 tff(16388,plain,
% 6.46/6.70 (~((~(mult(mult(mult(b, a), mult(b, a)), mult(c, a)) = mult(mult(b, a), mult(mult(c, a), mult(b, a))))) | (~(mult(mult(mult(b, a), mult(c, a)), mult(b, a)) = mult(mult(b, a), mult(mult(b, a), mult(c, a))))))),
% 6.46/6.70 inference(unit_resolution,[status(thm)],[16387, 16380])).
% 6.46/6.70 tff(16389,plain,
% 6.46/6.70 (mult(mult(mult(b, a), mult(c, a)), mult(b, a)) = mult(mult(b, a), mult(mult(b, a), mult(c, a)))),
% 6.46/6.70 inference(unit_resolution,[status(thm)],[8008, 16388])).
% 6.46/6.70 tff(16390,plain,
% 6.46/6.70 (mult(mult(b, a), mult(mult(b, a), mult(c, a))) = mult(mult(mult(b, a), mult(c, a)), mult(b, a))),
% 6.46/6.70 inference(symmetry,[status(thm)],[16389])).
% 6.46/6.70 tff(16391,plain,
% 6.46/6.70 (mult(mult(b, a), mult(mult(b, a), mult(c, a))) = mult(mult(b, a), mult(mult(mult(a, b), a), c))),
% 6.46/6.70 inference(transitivity,[status(thm)],[16390, 16354, 16353, 14267, 16368, 16341])).
% 6.46/6.70 tff(16392,plain,
% 6.46/6.70 (ld(mult(b, a), mult(mult(b, a), mult(mult(b, a), mult(c, a)))) = ld(mult(b, a), mult(mult(b, a), mult(mult(mult(a, b), a), c)))),
% 6.46/6.71 inference(monotonicity,[status(thm)],[16391])).
% 6.46/6.71 tff(16393,plain,
% 6.46/6.71 (ld(mult(b, a), mult(mult(b, a), mult(mult(mult(a, b), a), c))) = ld(mult(b, a), mult(mult(b, a), mult(mult(b, a), mult(c, a))))),
% 6.46/6.71 inference(symmetry,[status(thm)],[16392])).
% 6.46/6.71 tff(16394,assumption,(~(ld(mult(b, a), mult(mult(b, a), mult(mult(mult(a, b), a), c))) = mult(mult(mult(a, b), a), c))), introduced(assumption)).
% 6.46/6.71 tff(16395,plain,
% 6.46/6.71 ($false),
% 6.46/6.71 inference(unit_resolution,[status(thm)],[11242, 9, 16394])).
% 6.46/6.71 tff(16396,plain,(ld(mult(b, a), mult(mult(b, a), mult(mult(mult(a, b), a), c))) = mult(mult(mult(a, b), a), c)), inference(lemma,lemma(discharge,[]))).
% 6.46/6.71 tff(16397,plain,
% 6.46/6.71 (mult(mult(mult(a, b), a), c) = ld(mult(b, a), mult(mult(b, a), mult(mult(mult(a, b), a), c)))),
% 6.46/6.71 inference(symmetry,[status(thm)],[16396])).
% 6.46/6.71 tff(16398,plain,
% 6.46/6.71 (mult(mult(a, b), mult(c, a)) = mult(mult(b, a), mult(c, a))),
% 6.46/6.71 inference(transitivity,[status(thm)],[9223, 16397, 16393, 16009])).
% 6.46/6.71 tff(16399,plain,
% 6.46/6.71 (rd(mult(mult(a, b), mult(c, a)), mult(c, a)) = rd(mult(mult(b, a), mult(c, a)), mult(c, a))),
% 6.46/6.71 inference(monotonicity,[status(thm)],[16398])).
% 6.46/6.71 tff(16400,plain,
% 6.46/6.71 ((~![B: $i, A: $i] : (rd(mult(A, B), B) = A)) | (rd(mult(mult(a, b), mult(c, a)), mult(c, a)) = mult(a, b))),
% 6.46/6.71 inference(quant_inst,[status(thm)],[])).
% 6.46/6.71 tff(16401,plain,
% 6.46/6.71 (rd(mult(mult(a, b), mult(c, a)), mult(c, a)) = mult(a, b)),
% 6.46/6.71 inference(unit_resolution,[status(thm)],[16400, 72])).
% 6.46/6.71 tff(16402,plain,
% 6.46/6.71 (mult(a, b) = rd(mult(mult(a, b), mult(c, a)), mult(c, a))),
% 6.46/6.71 inference(symmetry,[status(thm)],[16401])).
% 6.46/6.71 tff(16403,plain,
% 6.46/6.71 (mult(a, b) = mult(b, a)),
% 6.46/6.71 inference(transitivity,[status(thm)],[16402, 16399, 16338])).
% 6.46/6.71 tff(16404,plain,
% 6.46/6.71 ($false),
% 6.46/6.71 inference(unit_resolution,[status(thm)],[1, 16403])).
% 6.46/6.71 tff(16405,plain,((mult(mult(mult(mult(b, a), a), c), mult(b, a)) = mult(mult(mult(b, a), a), mult(c, mult(b, a)))) | (mult(a, b) = mult(b, a)) | (mult(mult(mult(b, a), c), mult(mult(a, b), a)) = mult(mult(b, a), mult(mult(mult(a, b), a), c))) | (~(mult(mult(mult(b, a), mult(a, c)), mult(b, a)) = mult(mult(b, a), mult(mult(b, a), mult(a, c)))))), inference(lemma,lemma(discharge,[]))).
% 6.46/6.71 tff(16406,plain,
% 6.46/6.71 (~(mult(mult(mult(b, a), mult(a, c)), mult(b, a)) = mult(mult(b, a), mult(mult(b, a), mult(a, c))))),
% 6.46/6.71 inference(unit_resolution,[status(thm)],[16405, 16011, 15832, 1])).
% 6.46/6.71 tff(16407,plain,
% 6.46/6.71 (mult(mult(a, a), mult(a, c)) = mult(a, mult(a, mult(a, c)))),
% 6.46/6.71 inference(unit_resolution,[status(thm)],[15920, 11028, 13491])).
% 6.46/6.71 tff(16408,plain,
% 6.46/6.71 (mult(mult(mult(a, a), c), b) = mult(mult(a, mult(a, c)), b)),
% 6.46/6.71 inference(transitivity,[status(thm)],[789, 8185, 11078, 16255])).
% 6.46/6.71 tff(16409,plain,
% 6.46/6.71 (rd(mult(mult(mult(a, a), c), b), b) = rd(mult(mult(a, mult(a, c)), b), b)),
% 6.46/6.71 inference(monotonicity,[status(thm)],[16408])).
% 6.46/6.71 tff(16410,plain,
% 6.46/6.71 (mult(mult(a, a), c) = mult(a, mult(a, c))),
% 6.46/6.71 inference(transitivity,[status(thm)],[5380, 16409, 908])).
% 6.46/6.71 tff(16411,plain,
% 6.46/6.71 (mult(b, mult(mult(a, a), c)) = mult(b, mult(a, mult(a, c)))),
% 6.46/6.71 inference(monotonicity,[status(thm)],[16410])).
% 6.46/6.71 tff(16412,plain,
% 6.46/6.71 (mult(b, mult(a, mult(a, c))) = mult(b, mult(mult(a, a), c))),
% 6.46/6.71 inference(symmetry,[status(thm)],[16411])).
% 6.46/6.71 tff(16413,plain,
% 6.46/6.71 (mult(a, mult(b, mult(a, mult(a, c)))) = mult(a, mult(b, mult(mult(a, a), c)))),
% 6.46/6.71 inference(monotonicity,[status(thm)],[16412])).
% 6.46/6.71 tff(16414,plain,
% 6.46/6.71 (mult(a, mult(b, mult(mult(a, a), c))) = mult(a, mult(b, mult(a, mult(a, c))))),
% 6.46/6.71 inference(symmetry,[status(thm)],[16413])).
% 6.46/6.71 tff(16415,plain,
% 6.46/6.71 (rd(mult(mult(a, mult(a, c)), b), b) = rd(mult(mult(mult(a, a), c), b), b)),
% 6.46/6.71 inference(symmetry,[status(thm)],[16409])).
% 6.46/6.71 tff(16416,plain,
% 6.46/6.71 (mult(a, mult(a, c)) = mult(mult(a, a), c)),
% 6.46/6.71 inference(transitivity,[status(thm)],[6228, 16415, 2650])).
% 6.46/6.71 tff(16417,plain,
% 6.46/6.71 (mult(mult(a, b), mult(a, mult(a, c))) = mult(mult(a, b), mult(mult(a, a), c))),
% 6.46/6.71 inference(monotonicity,[status(thm)],[16416])).
% 6.46/6.71 tff(16418,plain,
% 6.46/6.71 (mult(mult(a, b), mult(mult(a, a), c)) = mult(mult(a, b), mult(a, mult(a, c)))),
% 6.46/6.71 inference(symmetry,[status(thm)],[16417])).
% 6.46/6.71 tff(16419,plain,
% 6.46/6.71 ((mult(mult(a, b), mult(mult(a, a), c)) = mult(a, mult(b, mult(mult(a, a), c)))) <=> (mult(mult(a, b), mult(a, mult(a, c))) = mult(a, mult(b, mult(a, mult(a, c)))))),
% 6.46/6.71 inference(monotonicity,[status(thm)],[16418, 16414])).
% 6.46/6.71 tff(16420,plain,
% 6.46/6.71 ((mult(mult(a, b), mult(a, mult(a, c))) = mult(a, mult(b, mult(a, mult(a, c))))) <=> (mult(mult(a, b), mult(mult(a, a), c)) = mult(a, mult(b, mult(mult(a, a), c))))),
% 6.46/6.71 inference(symmetry,[status(thm)],[16419])).
% 6.46/6.71 tff(16421,plain,
% 6.46/6.71 (mult(a, mult(mult(a, a), c)) = mult(a, mult(a, mult(a, c)))),
% 6.46/6.71 inference(monotonicity,[status(thm)],[16410])).
% 6.46/6.71 tff(16422,plain,
% 6.46/6.71 (mult(mult(a, mult(mult(a, a), c)), b) = mult(mult(a, mult(a, mult(a, c))), b)),
% 6.46/6.71 inference(monotonicity,[status(thm)],[16421])).
% 6.46/6.71 tff(16423,assumption,(~(mult(mult(a, b), mult(mult(a, a), c)) = mult(a, mult(b, mult(mult(a, a), c))))), introduced(assumption)).
% 6.46/6.71 tff(16424,plain,
% 6.46/6.71 (((~(mult(mult(a, b), mult(mult(a, a), c)) = mult(a, mult(b, mult(mult(a, a), c))))) | (~(mult(mult(a, mult(mult(a, a), c)), b) = mult(a, mult(mult(mult(a, a), c), b))))) | (mult(mult(a, b), mult(mult(a, a), c)) = mult(a, mult(b, mult(mult(a, a), c))))),
% 6.46/6.71 inference(tautology,[status(thm)],[])).
% 6.46/6.71 tff(16425,plain,
% 6.46/6.71 ((~(mult(mult(a, b), mult(mult(a, a), c)) = mult(a, mult(b, mult(mult(a, a), c))))) | (~(mult(mult(a, mult(mult(a, a), c)), b) = mult(a, mult(mult(mult(a, a), c), b))))),
% 6.46/6.71 inference(unit_resolution,[status(thm)],[16424, 16423])).
% 6.46/6.71 tff(16426,plain,
% 6.46/6.71 (((~![X0: $i, X1: $i, X2: $i] : ((~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X2, X1)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X1, X2)))))) | (~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X1, X2)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X2, X1)))))))) | ((~((~(mult(mult(a, b), mult(mult(a, a), c)) = mult(a, mult(b, mult(mult(a, a), c))))) | (~(mult(mult(a, mult(mult(a, a), c)), b) = mult(a, mult(mult(mult(a, a), c), b)))))) | (~((~(mult(mult(a, b), mult(mult(a, a), c)) = mult(a, mult(mult(mult(a, a), c), b)))) | (~(mult(mult(a, mult(mult(a, a), c)), b) = mult(a, mult(b, mult(mult(a, a), c))))))))) <=> ((~![X0: $i, X1: $i, X2: $i] : ((~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X2, X1)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X1, X2)))))) | (~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X1, X2)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X2, X1)))))))) | (~((~(mult(mult(a, b), mult(mult(a, a), c)) = mult(a, mult(b, mult(mult(a, a), c))))) | (~(mult(mult(a, mult(mult(a, a), c)), b) = mult(a, mult(mult(mult(a, a), c), b)))))) | (~((~(mult(mult(a, b), mult(mult(a, a), c)) = mult(a, mult(mult(mult(a, a), c), b)))) | (~(mult(mult(a, mult(mult(a, a), c)), b) = mult(a, mult(b, mult(mult(a, a), c))))))))),
% 6.46/6.71 inference(rewrite,[status(thm)],[])).
% 6.46/6.71 tff(16427,plain,
% 6.46/6.71 (((~((~(mult(mult(a, b), mult(mult(a, a), c)) = mult(a, mult(mult(mult(a, a), c), b)))) | (~(mult(mult(a, mult(mult(a, a), c)), b) = mult(a, mult(b, mult(mult(a, a), c))))))) | (~((~(mult(mult(a, b), mult(mult(a, a), c)) = mult(a, mult(b, mult(mult(a, a), c))))) | (~(mult(mult(a, mult(mult(a, a), c)), b) = mult(a, mult(mult(mult(a, a), c), b))))))) <=> ((~((~(mult(mult(a, b), mult(mult(a, a), c)) = mult(a, mult(b, mult(mult(a, a), c))))) | (~(mult(mult(a, mult(mult(a, a), c)), b) = mult(a, mult(mult(mult(a, a), c), b)))))) | (~((~(mult(mult(a, b), mult(mult(a, a), c)) = mult(a, mult(mult(mult(a, a), c), b)))) | (~(mult(mult(a, mult(mult(a, a), c)), b) = mult(a, mult(b, mult(mult(a, a), c))))))))),
% 6.46/6.71 inference(rewrite,[status(thm)],[])).
% 6.46/6.71 tff(16428,plain,
% 6.46/6.71 ((~((~(mult(mult(a, mult(mult(a, a), c)), b) = mult(a, mult(mult(mult(a, a), c), b)))) | (~(mult(mult(a, b), mult(mult(a, a), c)) = mult(a, mult(b, mult(mult(a, a), c))))))) <=> (~((~(mult(mult(a, b), mult(mult(a, a), c)) = mult(a, mult(b, mult(mult(a, a), c))))) | (~(mult(mult(a, mult(mult(a, a), c)), b) = mult(a, mult(mult(mult(a, a), c), b))))))),
% 6.46/6.71 inference(rewrite,[status(thm)],[])).
% 6.46/6.71 tff(16429,plain,
% 6.46/6.71 ((~((~(mult(mult(a, mult(mult(a, a), c)), b) = mult(a, mult(b, mult(mult(a, a), c))))) | (~(mult(mult(a, b), mult(mult(a, a), c)) = mult(a, mult(mult(mult(a, a), c), b)))))) <=> (~((~(mult(mult(a, b), mult(mult(a, a), c)) = mult(a, mult(mult(mult(a, a), c), b)))) | (~(mult(mult(a, mult(mult(a, a), c)), b) = mult(a, mult(b, mult(mult(a, a), c)))))))),
% 6.46/6.71 inference(rewrite,[status(thm)],[])).
% 6.46/6.71 tff(16430,plain,
% 6.46/6.71 (((~((~(mult(mult(a, mult(mult(a, a), c)), b) = mult(a, mult(b, mult(mult(a, a), c))))) | (~(mult(mult(a, b), mult(mult(a, a), c)) = mult(a, mult(mult(mult(a, a), c), b)))))) | (~((~(mult(mult(a, mult(mult(a, a), c)), b) = mult(a, mult(mult(mult(a, a), c), b)))) | (~(mult(mult(a, b), mult(mult(a, a), c)) = mult(a, mult(b, mult(mult(a, a), c)))))))) <=> ((~((~(mult(mult(a, b), mult(mult(a, a), c)) = mult(a, mult(mult(mult(a, a), c), b)))) | (~(mult(mult(a, mult(mult(a, a), c)), b) = mult(a, mult(b, mult(mult(a, a), c))))))) | (~((~(mult(mult(a, b), mult(mult(a, a), c)) = mult(a, mult(b, mult(mult(a, a), c))))) | (~(mult(mult(a, mult(mult(a, a), c)), b) = mult(a, mult(mult(mult(a, a), c), b)))))))),
% 6.46/6.71 inference(monotonicity,[status(thm)],[16429, 16428])).
% 6.46/6.71 tff(16431,plain,
% 6.46/6.71 (((~((~(mult(mult(a, mult(mult(a, a), c)), b) = mult(a, mult(b, mult(mult(a, a), c))))) | (~(mult(mult(a, b), mult(mult(a, a), c)) = mult(a, mult(mult(mult(a, a), c), b)))))) | (~((~(mult(mult(a, mult(mult(a, a), c)), b) = mult(a, mult(mult(mult(a, a), c), b)))) | (~(mult(mult(a, b), mult(mult(a, a), c)) = mult(a, mult(b, mult(mult(a, a), c)))))))) <=> ((~((~(mult(mult(a, b), mult(mult(a, a), c)) = mult(a, mult(b, mult(mult(a, a), c))))) | (~(mult(mult(a, mult(mult(a, a), c)), b) = mult(a, mult(mult(mult(a, a), c), b)))))) | (~((~(mult(mult(a, b), mult(mult(a, a), c)) = mult(a, mult(mult(mult(a, a), c), b)))) | (~(mult(mult(a, mult(mult(a, a), c)), b) = mult(a, mult(b, mult(mult(a, a), c))))))))),
% 6.46/6.71 inference(transitivity,[status(thm)],[16430, 16427])).
% 6.46/6.71 tff(16432,plain,
% 6.46/6.71 (((~![X0: $i, X1: $i, X2: $i] : ((~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X2, X1)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X1, X2)))))) | (~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X1, X2)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X2, X1)))))))) | ((~((~(mult(mult(a, mult(mult(a, a), c)), b) = mult(a, mult(b, mult(mult(a, a), c))))) | (~(mult(mult(a, b), mult(mult(a, a), c)) = mult(a, mult(mult(mult(a, a), c), b)))))) | (~((~(mult(mult(a, mult(mult(a, a), c)), b) = mult(a, mult(mult(mult(a, a), c), b)))) | (~(mult(mult(a, b), mult(mult(a, a), c)) = mult(a, mult(b, mult(mult(a, a), c))))))))) <=> ((~![X0: $i, X1: $i, X2: $i] : ((~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X2, X1)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X1, X2)))))) | (~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X1, X2)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X2, X1)))))))) | ((~((~(mult(mult(a, b), mult(mult(a, a), c)) = mult(a, mult(b, mult(mult(a, a), c))))) | (~(mult(mult(a, mult(mult(a, a), c)), b) = mult(a, mult(mult(mult(a, a), c), b)))))) | (~((~(mult(mult(a, b), mult(mult(a, a), c)) = mult(a, mult(mult(mult(a, a), c), b)))) | (~(mult(mult(a, mult(mult(a, a), c)), b) = mult(a, mult(b, mult(mult(a, a), c)))))))))),
% 6.46/6.71 inference(monotonicity,[status(thm)],[16431])).
% 6.46/6.71 tff(16433,plain,
% 6.46/6.71 (((~![X0: $i, X1: $i, X2: $i] : ((~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X2, X1)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X1, X2)))))) | (~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X1, X2)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X2, X1)))))))) | ((~((~(mult(mult(a, mult(mult(a, a), c)), b) = mult(a, mult(b, mult(mult(a, a), c))))) | (~(mult(mult(a, b), mult(mult(a, a), c)) = mult(a, mult(mult(mult(a, a), c), b)))))) | (~((~(mult(mult(a, mult(mult(a, a), c)), b) = mult(a, mult(mult(mult(a, a), c), b)))) | (~(mult(mult(a, b), mult(mult(a, a), c)) = mult(a, mult(b, mult(mult(a, a), c))))))))) <=> ((~![X0: $i, X1: $i, X2: $i] : ((~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X2, X1)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X1, X2)))))) | (~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X1, X2)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X2, X1)))))))) | (~((~(mult(mult(a, b), mult(mult(a, a), c)) = mult(a, mult(b, mult(mult(a, a), c))))) | (~(mult(mult(a, mult(mult(a, a), c)), b) = mult(a, mult(mult(mult(a, a), c), b)))))) | (~((~(mult(mult(a, b), mult(mult(a, a), c)) = mult(a, mult(mult(mult(a, a), c), b)))) | (~(mult(mult(a, mult(mult(a, a), c)), b) = mult(a, mult(b, mult(mult(a, a), c))))))))),
% 6.46/6.71 inference(transitivity,[status(thm)],[16432, 16426])).
% 6.46/6.71 tff(16434,plain,
% 6.46/6.71 ((~![X0: $i, X1: $i, X2: $i] : ((~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X2, X1)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X1, X2)))))) | (~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X1, X2)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X2, X1)))))))) | ((~((~(mult(mult(a, mult(mult(a, a), c)), b) = mult(a, mult(b, mult(mult(a, a), c))))) | (~(mult(mult(a, b), mult(mult(a, a), c)) = mult(a, mult(mult(mult(a, a), c), b)))))) | (~((~(mult(mult(a, mult(mult(a, a), c)), b) = mult(a, mult(mult(mult(a, a), c), b)))) | (~(mult(mult(a, b), mult(mult(a, a), c)) = mult(a, mult(b, mult(mult(a, a), c))))))))),
% 6.46/6.71 inference(quant_inst,[status(thm)],[])).
% 6.46/6.71 tff(16435,plain,
% 6.46/6.71 ((~![X0: $i, X1: $i, X2: $i] : ((~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X2, X1)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X1, X2)))))) | (~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X1, X2)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X2, X1)))))))) | (~((~(mult(mult(a, b), mult(mult(a, a), c)) = mult(a, mult(b, mult(mult(a, a), c))))) | (~(mult(mult(a, mult(mult(a, a), c)), b) = mult(a, mult(mult(mult(a, a), c), b)))))) | (~((~(mult(mult(a, b), mult(mult(a, a), c)) = mult(a, mult(mult(mult(a, a), c), b)))) | (~(mult(mult(a, mult(mult(a, a), c)), b) = mult(a, mult(b, mult(mult(a, a), c)))))))),
% 6.46/6.71 inference(modus_ponens,[status(thm)],[16434, 16433])).
% 6.46/6.71 tff(16436,plain,
% 6.46/6.71 ((~((~(mult(mult(a, b), mult(mult(a, a), c)) = mult(a, mult(b, mult(mult(a, a), c))))) | (~(mult(mult(a, mult(mult(a, a), c)), b) = mult(a, mult(mult(mult(a, a), c), b)))))) | (~((~(mult(mult(a, b), mult(mult(a, a), c)) = mult(a, mult(mult(mult(a, a), c), b)))) | (~(mult(mult(a, mult(mult(a, a), c)), b) = mult(a, mult(b, mult(mult(a, a), c)))))))),
% 6.46/6.71 inference(unit_resolution,[status(thm)],[16435, 30])).
% 6.46/6.71 tff(16437,plain,
% 6.46/6.71 (~((~(mult(mult(a, b), mult(mult(a, a), c)) = mult(a, mult(mult(mult(a, a), c), b)))) | (~(mult(mult(a, mult(mult(a, a), c)), b) = mult(a, mult(b, mult(mult(a, a), c))))))),
% 6.46/6.71 inference(unit_resolution,[status(thm)],[16436, 16425])).
% 6.46/6.71 tff(16438,plain,
% 6.46/6.71 (((~(mult(mult(a, b), mult(mult(a, a), c)) = mult(a, mult(mult(mult(a, a), c), b)))) | (~(mult(mult(a, mult(mult(a, a), c)), b) = mult(a, mult(b, mult(mult(a, a), c)))))) | (mult(mult(a, mult(mult(a, a), c)), b) = mult(a, mult(b, mult(mult(a, a), c))))),
% 6.46/6.71 inference(tautology,[status(thm)],[])).
% 6.46/6.71 tff(16439,plain,
% 6.46/6.71 (mult(mult(a, mult(mult(a, a), c)), b) = mult(a, mult(b, mult(mult(a, a), c)))),
% 6.46/6.71 inference(unit_resolution,[status(thm)],[16438, 16437])).
% 6.46/6.71 tff(16440,plain,
% 6.46/6.71 (mult(a, mult(b, mult(mult(a, a), c))) = mult(mult(a, mult(mult(a, a), c)), b)),
% 6.46/6.71 inference(symmetry,[status(thm)],[16439])).
% 6.46/6.71 tff(16441,plain,
% 6.46/6.71 (mult(a, mult(b, mult(a, mult(a, c)))) = mult(mult(a, mult(a, mult(a, c))), b)),
% 6.46/6.71 inference(transitivity,[status(thm)],[16413, 16440, 16422])).
% 6.46/6.71 tff(16442,plain,
% 6.46/6.71 (mult(mult(a, mult(a, c)), b) = mult(a, mult(a, mult(c, b)))),
% 6.46/6.71 inference(transitivity,[status(thm)],[10607, 11077])).
% 6.46/6.71 tff(16443,plain,
% 6.46/6.71 (mult(a, mult(mult(a, mult(a, c)), b)) = mult(a, mult(a, mult(a, mult(c, b))))),
% 6.46/6.71 inference(monotonicity,[status(thm)],[16442])).
% 6.46/6.71 tff(16444,plain,
% 6.46/6.71 (mult(a, mult(a, mult(a, mult(c, b)))) = mult(a, mult(mult(a, mult(a, c)), b))),
% 6.46/6.71 inference(symmetry,[status(thm)],[16443])).
% 6.46/6.71 tff(16445,plain,
% 6.46/6.71 (mult(mult(mult(a, a), c), b) = mult(a, mult(a, mult(c, b)))),
% 6.46/6.71 inference(transitivity,[status(thm)],[789, 8185])).
% 6.46/6.71 tff(16446,plain,
% 6.46/6.71 (mult(a, mult(mult(mult(a, a), c), b)) = mult(a, mult(a, mult(a, mult(c, b))))),
% 6.46/6.71 inference(monotonicity,[status(thm)],[16445])).
% 6.46/6.72 tff(16447,plain,
% 6.46/6.72 (((~(mult(mult(a, b), mult(mult(a, a), c)) = mult(a, mult(mult(mult(a, a), c), b)))) | (~(mult(mult(a, mult(mult(a, a), c)), b) = mult(a, mult(b, mult(mult(a, a), c)))))) | (mult(mult(a, b), mult(mult(a, a), c)) = mult(a, mult(mult(mult(a, a), c), b)))),
% 6.46/6.72 inference(tautology,[status(thm)],[])).
% 6.46/6.72 tff(16448,plain,
% 6.46/6.72 (mult(mult(a, b), mult(mult(a, a), c)) = mult(a, mult(mult(mult(a, a), c), b))),
% 6.46/6.72 inference(unit_resolution,[status(thm)],[16447, 16437])).
% 6.46/6.72 tff(16449,plain,
% 6.46/6.72 (mult(mult(a, b), mult(a, mult(a, c))) = mult(a, mult(mult(a, mult(a, c)), b))),
% 6.46/6.72 inference(transitivity,[status(thm)],[16417, 16448, 16446, 16444])).
% 6.46/6.72 tff(16450,plain,
% 6.46/6.72 ((mult(mult(a, b), mult(a, mult(a, c))) = mult(a, mult(b, mult(a, mult(a, c))))) <=> (mult(a, mult(mult(a, mult(a, c)), b)) = mult(mult(a, mult(a, mult(a, c))), b))),
% 6.46/6.72 inference(monotonicity,[status(thm)],[16449, 16441])).
% 6.46/6.72 tff(16451,plain,
% 6.46/6.72 ((mult(mult(a, b), mult(a, mult(a, c))) = mult(a, mult(b, mult(a, mult(a, c))))) <=> (mult(mult(a, mult(a, mult(a, c))), b) = mult(a, mult(mult(a, mult(a, c)), b)))),
% 6.46/6.72 inference(transitivity,[status(thm)],[16450, 10689])).
% 6.46/6.72 tff(16452,plain,
% 6.46/6.72 ((mult(mult(a, mult(a, mult(a, c))), b) = mult(a, mult(mult(a, mult(a, c)), b))) <=> (mult(mult(a, b), mult(a, mult(a, c))) = mult(a, mult(b, mult(a, mult(a, c)))))),
% 6.46/6.72 inference(symmetry,[status(thm)],[16451])).
% 6.46/6.72 tff(16453,plain,
% 6.46/6.72 (mult(a, mult(mult(mult(b, c), a), a)) = mult(mult(a, mult(a, mult(a, c))), b)),
% 6.46/6.72 inference(transitivity,[status(thm)],[10563, 16413, 16440, 16422])).
% 6.46/6.72 tff(16454,plain,
% 6.46/6.72 (mult(a, mult(mult(b, c), a)) = mult(mult(a, b), mult(a, c))),
% 6.46/6.72 inference(transitivity,[status(thm)],[1424, 2383, 168])).
% 6.46/6.72 tff(16455,plain,
% 6.46/6.72 (mult(mult(a, mult(mult(b, c), a)), a) = mult(mult(mult(a, b), mult(a, c)), a)),
% 6.46/6.72 inference(monotonicity,[status(thm)],[16454])).
% 6.46/6.72 tff(16456,plain,
% 6.46/6.72 (mult(mult(a, mult(mult(b, c), a)), a) = mult(a, mult(mult(a, mult(a, c)), b))),
% 6.46/6.72 inference(transitivity,[status(thm)],[16455, 6309, 16417, 16448, 16446, 16444])).
% 6.46/6.72 tff(16457,plain,
% 6.46/6.72 ((mult(mult(a, mult(mult(b, c), a)), a) = mult(a, mult(mult(mult(b, c), a), a))) <=> (mult(a, mult(mult(a, mult(a, c)), b)) = mult(mult(a, mult(a, mult(a, c))), b))),
% 6.46/6.72 inference(monotonicity,[status(thm)],[16456, 16453])).
% 6.46/6.72 tff(16458,plain,
% 6.46/6.72 ((mult(mult(a, mult(mult(b, c), a)), a) = mult(a, mult(mult(mult(b, c), a), a))) <=> (mult(mult(a, mult(a, mult(a, c))), b) = mult(a, mult(mult(a, mult(a, c)), b)))),
% 6.46/6.72 inference(transitivity,[status(thm)],[16457, 10689])).
% 6.46/6.72 tff(16459,plain,
% 6.46/6.72 ((mult(mult(a, mult(mult(b, c), a)), a) = mult(a, mult(mult(mult(b, c), a), a))) <=> (mult(mult(a, b), mult(mult(a, a), c)) = mult(a, mult(b, mult(mult(a, a), c))))),
% 6.46/6.72 inference(transitivity,[status(thm)],[16458, 16452, 16420])).
% 6.46/6.72 tff(16460,plain,
% 6.46/6.72 (mult(mult(a, b), mult(mult(a, a), c)) = mult(a, mult(b, mult(mult(a, a), c)))),
% 6.46/6.72 inference(modus_ponens,[status(thm)],[10561, 16459])).
% 6.46/6.72 tff(16461,plain,
% 6.46/6.72 ($false),
% 6.46/6.72 inference(unit_resolution,[status(thm)],[16423, 16460])).
% 6.46/6.72 tff(16462,plain,((mult(mult(a, b), mult(mult(a, a), c)) = mult(a, mult(b, mult(mult(a, a), c)))) | (~(mult(mult(a, mult(mult(b, c), a)), a) = mult(a, mult(mult(mult(b, c), a), a)))) | (~(mult(mult(mult(a, a), c), b) = mult(mult(a, a), mult(c, b)))) | (~(mult(mult(mult(a, b), mult(a, c)), a) = mult(mult(a, b), mult(a, mult(a, c))))) | (~(mult(mult(mult(a, b), c), a) = mult(mult(a, b), mult(a, c)))) | (~(mult(mult(a, mult(b, c)), a) = mult(a, mult(mult(b, c), a)))) | (~(mult(mult(a, b), c) = mult(a, mult(b, c))))), inference(lemma,lemma(discharge,[]))).
% 6.46/6.72 tff(16463,plain,
% 6.46/6.72 ((mult(mult(a, b), mult(mult(a, a), c)) = mult(a, mult(b, mult(mult(a, a), c)))) | (~(mult(mult(a, mult(mult(b, c), a)), a) = mult(a, mult(mult(mult(b, c), a), a)))) | (~(mult(mult(mult(a, a), c), b) = mult(mult(a, a), mult(c, b)))) | (~(mult(mult(mult(a, b), mult(a, c)), a) = mult(mult(a, b), mult(a, mult(a, c))))) | (~(mult(mult(mult(a, b), c), a) = mult(mult(a, b), mult(a, c)))) | (~(mult(mult(a, mult(b, c)), a) = mult(a, mult(mult(b, c), a))))),
% 6.56/6.72 inference(unit_resolution,[status(thm)],[16462, 8959])).
% 6.56/6.72 tff(16464,plain,
% 6.56/6.72 (mult(mult(a, b), mult(mult(a, a), c)) = mult(a, mult(b, mult(mult(a, a), c)))),
% 6.56/6.72 inference(unit_resolution,[status(thm)],[16463, 13553, 13491, 13458, 168, 10912])).
% 6.56/6.72 tff(16465,plain,
% 6.56/6.72 (~(mult(mult(mult(a, a), b), mult(a, c)) = mult(mult(a, a), mult(b, mult(a, c))))),
% 6.56/6.72 inference(unit_resolution,[status(thm)],[16271, 16233, 16263, 6309, 789, 788, 168, 510, 59])).
% 6.56/6.72 tff(16466,plain,
% 6.56/6.72 ((~(mult(mult(mult(a, a), b), mult(a, c)) = mult(mult(a, a), mult(b, mult(a, c))))) | (~(mult(mult(mult(a, a), mult(a, c)), b) = mult(mult(a, a), mult(mult(a, c), b))))),
% 6.56/6.72 inference(unit_resolution,[status(thm)],[5584, 16465])).
% 6.56/6.72 tff(16467,plain,
% 6.56/6.72 (~((~(mult(mult(mult(a, a), b), mult(a, c)) = mult(mult(a, a), mult(mult(a, c), b)))) | (~(mult(mult(mult(a, a), mult(a, c)), b) = mult(mult(a, a), mult(b, mult(a, c))))))),
% 6.56/6.72 inference(unit_resolution,[status(thm)],[5653, 16466])).
% 6.56/6.72 tff(16468,plain,
% 6.56/6.72 (mult(mult(mult(a, a), b), mult(a, c)) = mult(mult(a, a), mult(mult(a, c), b))),
% 6.56/6.72 inference(unit_resolution,[status(thm)],[5659, 16467])).
% 6.56/6.72 tff(16469,plain,
% 6.56/6.72 (mult(mult(a, a), mult(mult(a, c), b)) = mult(mult(mult(a, a), b), mult(a, c))),
% 6.56/6.72 inference(symmetry,[status(thm)],[16468])).
% 6.56/6.72 tff(16470,plain,
% 6.56/6.72 (mult(a, mult(mult(mult(a, a), c), b)) = mult(mult(a, a), mult(mult(a, c), b))),
% 6.56/6.72 inference(transitivity,[status(thm)],[16446, 10606, 10591])).
% 6.56/6.72 tff(16471,plain,
% 6.56/6.72 (mult(a, mult(mult(a, a), c)) = mult(a, mult(a, mult(a, c)))),
% 6.56/6.72 inference(monotonicity,[status(thm)],[16258])).
% 6.56/6.72 tff(16472,plain,
% 6.56/6.72 (mult(mult(a, mult(mult(a, a), c)), b) = mult(mult(a, mult(a, mult(a, c))), b)),
% 6.56/6.72 inference(monotonicity,[status(thm)],[16471])).
% 6.56/6.72 tff(16473,plain,
% 6.56/6.72 (mult(mult(a, mult(mult(a, a), c)), b) = mult(mult(mult(a, a), mult(a, c)), b)),
% 6.56/6.72 inference(transitivity,[status(thm)],[16472, 10560])).
% 6.56/6.72 tff(16474,plain,
% 6.56/6.72 ((mult(mult(a, mult(mult(a, a), c)), b) = mult(a, mult(mult(mult(a, a), c), b))) <=> (mult(mult(mult(a, a), mult(a, c)), b) = mult(mult(a, a), mult(mult(a, c), b)))),
% 6.56/6.72 inference(monotonicity,[status(thm)],[16473, 16470])).
% 6.56/6.72 tff(16475,plain,
% 6.56/6.72 ((mult(mult(mult(a, a), mult(a, c)), b) = mult(mult(a, a), mult(mult(a, c), b))) <=> (mult(mult(a, mult(mult(a, a), c)), b) = mult(a, mult(mult(mult(a, a), c), b)))),
% 6.56/6.72 inference(symmetry,[status(thm)],[16474])).
% 6.56/6.72 tff(16476,plain,
% 6.56/6.72 (mult(mult(mult(a, a), mult(a, c)), b) = mult(mult(a, a), mult(b, mult(a, c)))),
% 6.56/6.72 inference(unit_resolution,[status(thm)],[5591, 16467])).
% 6.56/6.72 tff(16477,plain,
% 6.56/6.72 (mult(mult(a, a), mult(b, mult(a, c))) = mult(mult(mult(a, a), mult(a, c)), b)),
% 6.56/6.72 inference(symmetry,[status(thm)],[16476])).
% 6.56/6.72 tff(16478,plain,
% 6.56/6.72 ((mult(mult(mult(a, a), b), mult(a, c)) = mult(mult(a, a), mult(b, mult(a, c)))) <=> (mult(mult(a, a), mult(mult(a, c), b)) = mult(mult(mult(a, a), mult(a, c)), b))),
% 6.56/6.72 inference(monotonicity,[status(thm)],[16468, 16477])).
% 6.56/6.72 tff(16479,plain,
% 6.56/6.72 ((mult(mult(mult(a, a), b), mult(a, c)) = mult(mult(a, a), mult(b, mult(a, c)))) <=> (mult(mult(mult(a, a), mult(a, c)), b) = mult(mult(a, a), mult(mult(a, c), b)))),
% 6.56/6.72 inference(transitivity,[status(thm)],[16478, 10558])).
% 6.56/6.72 tff(16480,plain,
% 6.56/6.72 ((mult(mult(mult(a, a), b), mult(a, c)) = mult(mult(a, a), mult(b, mult(a, c)))) <=> (mult(mult(a, mult(mult(a, a), c)), b) = mult(a, mult(mult(mult(a, a), c), b)))),
% 6.56/6.72 inference(transitivity,[status(thm)],[16479, 16475])).
% 6.56/6.72 tff(16481,plain,
% 6.56/6.72 ((~(mult(mult(mult(a, a), b), mult(a, c)) = mult(mult(a, a), mult(b, mult(a, c))))) <=> (~(mult(mult(a, mult(mult(a, a), c)), b) = mult(a, mult(mult(mult(a, a), c), b))))),
% 6.56/6.72 inference(monotonicity,[status(thm)],[16480])).
% 6.56/6.72 tff(16482,plain,
% 6.56/6.72 (~(mult(mult(a, mult(mult(a, a), c)), b) = mult(a, mult(mult(mult(a, a), c), b)))),
% 6.56/6.72 inference(modus_ponens,[status(thm)],[16465, 16481])).
% 6.56/6.72 tff(16483,plain,
% 6.56/6.72 (((~(mult(mult(a, b), mult(mult(a, a), c)) = mult(a, mult(b, mult(mult(a, a), c))))) | (~(mult(mult(a, mult(mult(a, a), c)), b) = mult(a, mult(mult(mult(a, a), c), b))))) | (mult(mult(a, mult(mult(a, a), c)), b) = mult(a, mult(mult(mult(a, a), c), b)))),
% 6.56/6.72 inference(tautology,[status(thm)],[])).
% 6.56/6.72 tff(16484,plain,
% 6.56/6.72 ((~(mult(mult(a, b), mult(mult(a, a), c)) = mult(a, mult(b, mult(mult(a, a), c))))) | (~(mult(mult(a, mult(mult(a, a), c)), b) = mult(a, mult(mult(mult(a, a), c), b))))),
% 6.56/6.72 inference(unit_resolution,[status(thm)],[16483, 16482])).
% 6.56/6.72 tff(16485,plain,
% 6.56/6.72 (~((~(mult(mult(a, b), mult(mult(a, a), c)) = mult(a, mult(mult(mult(a, a), c), b)))) | (~(mult(mult(a, mult(mult(a, a), c)), b) = mult(a, mult(b, mult(mult(a, a), c))))))),
% 6.56/6.72 inference(unit_resolution,[status(thm)],[16436, 16484])).
% 6.56/6.72 tff(16486,plain,
% 6.56/6.72 (mult(mult(a, b), mult(mult(a, a), c)) = mult(a, mult(mult(mult(a, a), c), b))),
% 6.56/6.72 inference(unit_resolution,[status(thm)],[16447, 16485])).
% 6.56/6.72 tff(16487,plain,
% 6.56/6.72 (rd(mult(mult(a, mult(a, c)), b), b) = rd(mult(mult(mult(a, a), c), b), b)),
% 6.56/6.72 inference(symmetry,[status(thm)],[16257])).
% 6.56/6.72 tff(16488,plain,
% 6.56/6.72 (mult(a, mult(a, c)) = mult(mult(a, a), c)),
% 6.56/6.72 inference(transitivity,[status(thm)],[6228, 16487, 2650])).
% 6.56/6.72 tff(16489,plain,
% 6.56/6.72 (mult(mult(a, b), mult(a, mult(a, c))) = mult(mult(a, b), mult(mult(a, a), c))),
% 6.56/6.72 inference(monotonicity,[status(thm)],[16488])).
% 6.56/6.72 tff(16490,plain,
% 6.56/6.72 (mult(mult(a, mult(mult(b, c), a)), a) = mult(mult(a, mult(a, b)), mult(a, c))),
% 6.56/6.72 inference(transitivity,[status(thm)],[16455, 6309, 16489, 16486, 16446, 10606, 10591, 16469, 6310])).
% 6.56/6.72 tff(16491,plain,
% 6.56/6.72 ((mult(mult(a, mult(mult(b, c), a)), a) = mult(a, mult(a, mult(mult(b, c), a)))) <=> (mult(mult(a, mult(a, b)), mult(a, c)) = mult(a, mult(mult(a, b), mult(a, c))))),
% 6.56/6.72 inference(monotonicity,[status(thm)],[16490, 16243])).
% 6.56/6.72 tff(16492,plain,
% 6.56/6.72 ((mult(mult(a, mult(a, b)), mult(a, c)) = mult(a, mult(mult(a, b), mult(a, c)))) <=> (mult(mult(a, mult(mult(b, c), a)), a) = mult(a, mult(a, mult(mult(b, c), a))))),
% 6.56/6.72 inference(symmetry,[status(thm)],[16491])).
% 6.56/6.72 tff(16493,plain,
% 6.56/6.72 ((~(mult(mult(a, mult(a, b)), mult(a, c)) = mult(a, mult(mult(a, b), mult(a, c))))) <=> (~(mult(mult(a, mult(mult(b, c), a)), a) = mult(a, mult(a, mult(mult(b, c), a)))))),
% 6.56/6.72 inference(monotonicity,[status(thm)],[16492])).
% 6.56/6.72 tff(16494,plain,
% 6.56/6.72 ((mult(a, mult(mult(a, b), mult(a, c))) = mult(mult(a, mult(a, b)), mult(a, c))) <=> (mult(mult(a, mult(a, b)), mult(a, c)) = mult(a, mult(mult(a, b), mult(a, c))))),
% 6.56/6.72 inference(commutativity,[status(thm)],[])).
% 6.56/6.72 tff(16495,plain,
% 6.56/6.72 (((~(mult(mult(a, mult(a, c)), mult(a, b)) = mult(a, mult(mult(a, c), mult(a, b))))) | (~(mult(mult(a, mult(a, b)), mult(a, c)) = mult(a, mult(mult(a, b), mult(a, c)))))) | (mult(mult(a, mult(a, c)), mult(a, b)) = mult(a, mult(mult(a, c), mult(a, b))))),
% 6.56/6.72 inference(tautology,[status(thm)],[])).
% 6.56/6.72 tff(16496,plain,
% 6.56/6.72 ((~(mult(mult(a, mult(a, c)), mult(a, b)) = mult(a, mult(mult(a, c), mult(a, b))))) | (~(mult(mult(a, mult(a, b)), mult(a, c)) = mult(a, mult(mult(a, b), mult(a, c)))))),
% 6.56/6.72 inference(unit_resolution,[status(thm)],[16495, 16233])).
% 6.56/6.72 tff(16497,plain,
% 6.56/6.72 (((~![X0: $i, X1: $i, X2: $i] : ((~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X2, X1)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X1, X2)))))) | (~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X1, X2)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X2, X1)))))))) | ((~((~(mult(mult(a, mult(a, c)), mult(a, b)) = mult(a, mult(mult(a, b), mult(a, c))))) | (~(mult(mult(a, mult(a, b)), mult(a, c)) = mult(a, mult(mult(a, c), mult(a, b))))))) | (~((~(mult(mult(a, mult(a, c)), mult(a, b)) = mult(a, mult(mult(a, c), mult(a, b))))) | (~(mult(mult(a, mult(a, b)), mult(a, c)) = mult(a, mult(mult(a, b), mult(a, c))))))))) <=> ((~![X0: $i, X1: $i, X2: $i] : ((~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X2, X1)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X1, X2)))))) | (~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X1, X2)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X2, X1)))))))) | (~((~(mult(mult(a, mult(a, c)), mult(a, b)) = mult(a, mult(mult(a, b), mult(a, c))))) | (~(mult(mult(a, mult(a, b)), mult(a, c)) = mult(a, mult(mult(a, c), mult(a, b))))))) | (~((~(mult(mult(a, mult(a, c)), mult(a, b)) = mult(a, mult(mult(a, c), mult(a, b))))) | (~(mult(mult(a, mult(a, b)), mult(a, c)) = mult(a, mult(mult(a, b), mult(a, c))))))))),
% 6.56/6.72 inference(rewrite,[status(thm)],[])).
% 6.56/6.72 tff(16498,plain,
% 6.56/6.72 ((~![X0: $i, X1: $i, X2: $i] : ((~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X2, X1)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X1, X2)))))) | (~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X1, X2)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X2, X1)))))))) | ((~((~(mult(mult(a, mult(a, c)), mult(a, b)) = mult(a, mult(mult(a, b), mult(a, c))))) | (~(mult(mult(a, mult(a, b)), mult(a, c)) = mult(a, mult(mult(a, c), mult(a, b))))))) | (~((~(mult(mult(a, mult(a, c)), mult(a, b)) = mult(a, mult(mult(a, c), mult(a, b))))) | (~(mult(mult(a, mult(a, b)), mult(a, c)) = mult(a, mult(mult(a, b), mult(a, c))))))))),
% 6.56/6.72 inference(quant_inst,[status(thm)],[])).
% 6.56/6.72 tff(16499,plain,
% 6.56/6.72 ((~![X0: $i, X1: $i, X2: $i] : ((~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X2, X1)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X1, X2)))))) | (~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X1, X2)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X2, X1)))))))) | (~((~(mult(mult(a, mult(a, c)), mult(a, b)) = mult(a, mult(mult(a, b), mult(a, c))))) | (~(mult(mult(a, mult(a, b)), mult(a, c)) = mult(a, mult(mult(a, c), mult(a, b))))))) | (~((~(mult(mult(a, mult(a, c)), mult(a, b)) = mult(a, mult(mult(a, c), mult(a, b))))) | (~(mult(mult(a, mult(a, b)), mult(a, c)) = mult(a, mult(mult(a, b), mult(a, c)))))))),
% 6.56/6.72 inference(modus_ponens,[status(thm)],[16498, 16497])).
% 6.56/6.72 tff(16500,plain,
% 6.56/6.72 (~((~(mult(mult(a, mult(a, c)), mult(a, b)) = mult(a, mult(mult(a, b), mult(a, c))))) | (~(mult(mult(a, mult(a, b)), mult(a, c)) = mult(a, mult(mult(a, c), mult(a, b))))))),
% 6.56/6.72 inference(unit_resolution,[status(thm)],[16499, 30, 16496])).
% 6.56/6.72 tff(16501,plain,
% 6.56/6.72 (((~(mult(mult(a, mult(a, c)), mult(a, b)) = mult(a, mult(mult(a, b), mult(a, c))))) | (~(mult(mult(a, mult(a, b)), mult(a, c)) = mult(a, mult(mult(a, c), mult(a, b)))))) | (mult(mult(a, mult(a, b)), mult(a, c)) = mult(a, mult(mult(a, c), mult(a, b))))),
% 6.56/6.72 inference(tautology,[status(thm)],[])).
% 6.56/6.72 tff(16502,plain,
% 6.56/6.72 (mult(mult(a, mult(a, b)), mult(a, c)) = mult(a, mult(mult(a, c), mult(a, b)))),
% 6.56/6.72 inference(unit_resolution,[status(thm)],[16501, 16500])).
% 6.56/6.72 tff(16503,plain,
% 6.56/6.72 (mult(a, mult(mult(a, c), mult(a, b))) = mult(mult(a, mult(a, b)), mult(a, c))),
% 6.56/6.72 inference(symmetry,[status(thm)],[16502])).
% 6.56/6.72 tff(16504,plain,
% 6.56/6.72 (((~(mult(mult(a, mult(a, c)), mult(a, b)) = mult(a, mult(mult(a, b), mult(a, c))))) | (~(mult(mult(a, mult(a, b)), mult(a, c)) = mult(a, mult(mult(a, c), mult(a, b)))))) | (mult(mult(a, mult(a, c)), mult(a, b)) = mult(a, mult(mult(a, b), mult(a, c))))),
% 6.56/6.72 inference(tautology,[status(thm)],[])).
% 6.56/6.72 tff(16505,plain,
% 6.56/6.72 (mult(mult(a, mult(a, c)), mult(a, b)) = mult(a, mult(mult(a, b), mult(a, c)))),
% 6.56/6.72 inference(unit_resolution,[status(thm)],[16504, 16500])).
% 6.56/6.72 tff(16506,plain,
% 6.56/6.72 ((mult(mult(a, mult(a, c)), mult(a, b)) = mult(a, mult(mult(a, c), mult(a, b)))) <=> (mult(a, mult(mult(a, b), mult(a, c))) = mult(mult(a, mult(a, b)), mult(a, c)))),
% 6.56/6.72 inference(monotonicity,[status(thm)],[16505, 16503])).
% 6.56/6.72 tff(16507,plain,
% 6.56/6.72 ((mult(mult(a, mult(a, c)), mult(a, b)) = mult(a, mult(mult(a, c), mult(a, b)))) <=> (mult(mult(a, mult(a, b)), mult(a, c)) = mult(a, mult(mult(a, b), mult(a, c))))),
% 6.56/6.72 inference(transitivity,[status(thm)],[16506, 16494])).
% 6.56/6.72 tff(16508,plain,
% 6.56/6.72 ((~(mult(mult(a, mult(a, c)), mult(a, b)) = mult(a, mult(mult(a, c), mult(a, b))))) <=> (~(mult(mult(a, mult(a, b)), mult(a, c)) = mult(a, mult(mult(a, b), mult(a, c)))))),
% 6.56/6.72 inference(monotonicity,[status(thm)],[16507])).
% 6.56/6.72 tff(16509,plain,
% 6.56/6.72 (~(mult(mult(a, mult(a, b)), mult(a, c)) = mult(a, mult(mult(a, b), mult(a, c))))),
% 6.56/6.72 inference(modus_ponens,[status(thm)],[16233, 16508])).
% 6.56/6.72 tff(16510,plain,
% 6.56/6.72 (~(mult(mult(a, mult(mult(b, c), a)), a) = mult(a, mult(a, mult(mult(b, c), a))))),
% 6.56/6.72 inference(modus_ponens,[status(thm)],[16509, 16493])).
% 6.56/6.72 tff(16511,plain,
% 6.56/6.72 ((~(mult(mult(mult(a, a), b), mult(a, c)) = mult(mult(a, a), mult(b, mult(a, c))))) <=> (~(mult(mult(mult(a, a), mult(a, c)), b) = mult(mult(a, a), mult(mult(a, c), b))))),
% 6.56/6.73 inference(monotonicity,[status(thm)],[16479])).
% 6.56/6.73 tff(16512,plain,
% 6.56/6.73 (~(mult(mult(mult(a, a), mult(a, c)), b) = mult(mult(a, a), mult(mult(a, c), b)))),
% 6.56/6.73 inference(modus_ponens,[status(thm)],[16465, 16511])).
% 6.56/6.73 tff(16513,plain,
% 6.56/6.73 (mult(mult(a, mult(mult(b, c), a)), a) = mult(a, mult(a, mult(mult(b, c), a)))),
% 6.56/6.73 inference(unit_resolution,[status(thm)],[15999, 16512, 10607, 788, 5544, 10605])).
% 6.56/6.73 tff(16514,plain,
% 6.56/6.73 ($false),
% 6.56/6.73 inference(unit_resolution,[status(thm)],[16513, 16510])).
% 6.56/6.73 tff(16515,plain,((mult(mult(a, mult(a, c)), mult(a, b)) = mult(a, mult(mult(a, c), mult(a, b)))) | (~(mult(mult(mult(a, b), c), a) = mult(mult(a, b), mult(a, c)))) | (~(mult(mult(a, mult(b, c)), a) = mult(a, mult(mult(b, c), a)))) | (~(mult(mult(a, b), c) = mult(a, mult(b, c)))) | (~(mult(mult(mult(a, b), mult(a, c)), a) = mult(mult(a, b), mult(a, mult(a, c))))) | (~(mult(mult(mult(a, a), c), b) = mult(mult(a, a), mult(c, b)))) | (~(mult(mult(a, c), b) = mult(a, mult(c, b)))) | (~(mult(mult(a, a), mult(a, c)) = mult(a, mult(a, mult(a, c))))) | (~(mult(mult(a, b), mult(mult(a, a), c)) = mult(a, mult(b, mult(mult(a, a), c)))))), inference(lemma,lemma(discharge,[]))).
% 6.56/6.73 tff(16516,plain,
% 6.56/6.73 ((mult(mult(a, mult(a, c)), mult(a, b)) = mult(a, mult(mult(a, c), mult(a, b)))) | (~(mult(mult(mult(a, b), c), a) = mult(mult(a, b), mult(a, c)))) | (~(mult(mult(a, mult(b, c)), a) = mult(a, mult(mult(b, c), a)))) | (~(mult(mult(a, b), c) = mult(a, mult(b, c)))) | (~(mult(mult(mult(a, b), mult(a, c)), a) = mult(mult(a, b), mult(a, mult(a, c))))) | (~(mult(mult(mult(a, a), c), b) = mult(mult(a, a), mult(c, b)))) | (~(mult(mult(a, a), mult(a, c)) = mult(a, mult(a, mult(a, c))))) | (~(mult(mult(a, b), mult(mult(a, a), c)) = mult(a, mult(b, mult(mult(a, a), c)))))),
% 6.56/6.73 inference(unit_resolution,[status(thm)],[16515, 8955])).
% 6.56/6.73 tff(16517,plain,
% 6.56/6.73 ((mult(mult(a, mult(a, c)), mult(a, b)) = mult(a, mult(mult(a, c), mult(a, b)))) | (~(mult(mult(mult(a, b), c), a) = mult(mult(a, b), mult(a, c)))) | (~(mult(mult(a, mult(b, c)), a) = mult(a, mult(mult(b, c), a)))) | (~(mult(mult(mult(a, b), mult(a, c)), a) = mult(mult(a, b), mult(a, mult(a, c))))) | (~(mult(mult(mult(a, a), c), b) = mult(mult(a, a), mult(c, b)))) | (~(mult(mult(a, a), mult(a, c)) = mult(a, mult(a, mult(a, c))))) | (~(mult(mult(a, b), mult(mult(a, a), c)) = mult(a, mult(b, mult(mult(a, a), c)))))),
% 6.56/6.73 inference(unit_resolution,[status(thm)],[16516, 8959])).
% 6.56/6.73 tff(16518,plain,
% 6.56/6.73 (mult(mult(a, mult(a, c)), mult(a, b)) = mult(a, mult(mult(a, c), mult(a, b)))),
% 6.56/6.73 inference(unit_resolution,[status(thm)],[16517, 16464, 10912, 13458, 13491, 16407, 168])).
% 6.56/6.73 tff(16519,plain,
% 6.56/6.73 (mult(b, mult(mult(mult(a, b), a), mult(a, c))) = mult(b, mult(mult(a, b), mult(mult(a, c), a)))),
% 6.56/6.73 inference(monotonicity,[status(thm)],[11017])).
% 6.56/6.73 tff(16520,plain,
% 6.56/6.73 (mult(mult(mult(b, c), a), mult(mult(a, b), a)) = mult(mult(b, mult(c, a)), mult(mult(a, b), a))),
% 6.56/6.73 inference(transitivity,[status(thm)],[11199, 12806, 16519, 12697, 11585, 11390, 4201, 4198])).
% 6.56/6.73 tff(16521,plain,
% 6.56/6.73 (rd(mult(mult(mult(b, c), a), mult(mult(a, b), a)), mult(mult(a, b), a)) = rd(mult(mult(b, mult(c, a)), mult(mult(a, b), a)), mult(mult(a, b), a))),
% 6.56/6.73 inference(monotonicity,[status(thm)],[16520])).
% 6.56/6.73 tff(16522,plain,
% 6.56/6.73 (mult(mult(b, c), a) = mult(b, mult(c, a))),
% 6.56/6.73 inference(transitivity,[status(thm)],[11204, 16521, 11164])).
% 6.56/6.73 tff(16523,plain,
% 6.56/6.73 ($false),
% 6.56/6.73 inference(unit_resolution,[status(thm)],[3450, 16522])).
% 6.56/6.73 tff(16524,plain,((~(mult(mult(b, mult(a, c)), mult(mult(a, b), a)) = mult(b, mult(mult(mult(a, b), a), mult(a, c))))) | (mult(mult(b, c), a) = mult(b, mult(c, a))) | (~(mult(mult(b, mult(mult(a, c), a)), mult(a, b)) = mult(b, mult(mult(a, b), mult(mult(a, c), a))))) | (~(mult(mult(mult(mult(b, a), mult(a, c)), b), a) = mult(mult(mult(b, a), mult(a, c)), mult(a, b)))) | (~(mult(mult(mult(a, b), a), mult(a, c)) = mult(mult(a, b), mult(mult(a, c), a))))), inference(lemma,lemma(discharge,[]))).
% 6.56/6.73 tff(16525,plain,
% 6.56/6.73 (~(mult(mult(b, mult(a, c)), mult(mult(a, b), a)) = mult(b, mult(mult(mult(a, b), a), mult(a, c))))),
% 6.56/6.73 inference(unit_resolution,[status(thm)],[16524, 12051, 13538, 11316, 13459])).
% 6.56/6.73 tff(16526,plain,
% 6.56/6.73 ((mult(b, mult(mult(mult(a, b), a), mult(a, c))) = mult(mult(b, mult(a, c)), mult(mult(a, b), a))) <=> (mult(mult(b, mult(a, c)), mult(mult(a, b), a)) = mult(b, mult(mult(mult(a, b), a), mult(a, c))))),
% 6.56/6.73 inference(commutativity,[status(thm)],[])).
% 6.56/6.73 tff(16527,assumption,(~(mult(mult(b, mult(a, c)), mult(mult(a, b), a)) = mult(b, mult(mult(mult(a, b), a), mult(a, c))))), introduced(assumption)).
% 6.56/6.73 tff(16528,plain,
% 6.56/6.73 ((~(mult(mult(b, mult(mult(a, b), a)), mult(a, c)) = mult(b, mult(mult(a, c), mult(mult(a, b), a))))) | (~(mult(mult(b, mult(a, c)), mult(mult(a, b), a)) = mult(b, mult(mult(mult(a, b), a), mult(a, c)))))),
% 6.56/6.73 inference(unit_resolution,[status(thm)],[13212, 16527])).
% 6.56/6.73 tff(16529,plain,
% 6.56/6.73 (~((~(mult(mult(b, mult(mult(a, b), a)), mult(a, c)) = mult(b, mult(mult(mult(a, b), a), mult(a, c))))) | (~(mult(mult(b, mult(a, c)), mult(mult(a, b), a)) = mult(b, mult(mult(a, c), mult(mult(a, b), a))))))),
% 6.56/6.73 inference(unit_resolution,[status(thm)],[13217, 16528])).
% 6.56/6.73 tff(16530,plain,
% 6.56/6.73 (mult(mult(b, mult(a, c)), mult(mult(a, b), a)) = mult(b, mult(mult(a, c), mult(mult(a, b), a)))),
% 6.56/6.73 inference(unit_resolution,[status(thm)],[14684, 16529])).
% 6.56/6.73 tff(16531,plain,
% 6.56/6.73 (mult(b, mult(mult(a, c), mult(mult(a, b), a))) = mult(mult(b, mult(a, c)), mult(mult(a, b), a))),
% 6.56/6.73 inference(symmetry,[status(thm)],[16530])).
% 6.56/6.73 tff(16532,plain,
% 6.56/6.73 (mult(b, mult(mult(a, c), mult(mult(a, b), a))) = mult(b, mult(a, mult(c, mult(mult(a, b), a))))),
% 6.56/6.73 inference(monotonicity,[status(thm)],[10783])).
% 6.56/6.73 tff(16533,plain,
% 6.56/6.73 (mult(b, mult(a, mult(c, mult(mult(a, b), a)))) = mult(b, mult(mult(a, c), mult(mult(a, b), a)))),
% 6.56/6.73 inference(symmetry,[status(thm)],[16532])).
% 6.56/6.73 tff(16534,plain,
% 6.56/6.73 (mult(mult(a, mult(c, mult(a, b))), a) = mult(mult(mult(a, c), mult(a, b)), a)),
% 6.56/6.73 inference(monotonicity,[status(thm)],[989])).
% 6.56/6.73 tff(16535,plain,
% 6.56/6.73 (mult(mult(a, mult(c, mult(a, b))), a) = mult(a, mult(c, mult(mult(a, b), a)))),
% 6.56/6.73 inference(transitivity,[status(thm)],[16534, 1533, 10783])).
% 6.56/6.73 tff(16536,plain,
% 6.56/6.73 (mult(b, mult(mult(a, mult(c, mult(a, b))), a)) = mult(b, mult(a, mult(c, mult(mult(a, b), a))))),
% 6.56/6.73 inference(monotonicity,[status(thm)],[16535])).
% 6.56/6.73 tff(16537,assumption,(~(mult(mult(b, a), mult(mult(b, a), mult(a, c))) = mult(b, mult(a, mult(mult(b, a), mult(a, c)))))), introduced(assumption)).
% 6.56/6.73 tff(16538,plain,
% 6.56/6.73 ((~(mult(mult(b, a), mult(mult(b, a), mult(a, c))) = mult(b, mult(a, mult(mult(b, a), mult(a, c)))))) | (~(mult(mult(b, mult(mult(b, a), mult(a, c))), a) = mult(b, mult(mult(mult(b, a), mult(a, c)), a))))),
% 6.56/6.73 inference(unit_resolution,[status(thm)],[12705, 16537])).
% 6.56/6.73 tff(16539,plain,
% 6.56/6.73 (~((~(mult(mult(b, a), mult(mult(b, a), mult(a, c))) = mult(b, mult(mult(mult(b, a), mult(a, c)), a)))) | (~(mult(mult(b, mult(mult(b, a), mult(a, c))), a) = mult(b, mult(a, mult(mult(b, a), mult(a, c)))))))),
% 6.56/6.73 inference(unit_resolution,[status(thm)],[12724, 16538])).
% 6.56/6.73 tff(16540,plain,
% 6.56/6.73 (mult(mult(b, a), mult(mult(b, a), mult(a, c))) = mult(b, mult(mult(mult(b, a), mult(a, c)), a))),
% 6.56/6.73 inference(unit_resolution,[status(thm)],[12712, 16539])).
% 6.56/6.73 tff(16541,plain,
% 6.56/6.73 (mult(b, mult(mult(mult(b, a), mult(a, c)), a)) = mult(mult(b, a), mult(mult(b, a), mult(a, c)))),
% 6.56/6.73 inference(symmetry,[status(thm)],[16540])).
% 6.56/6.73 tff(16542,plain,
% 6.56/6.73 (mult(b, mult(b, mult(mult(a, mult(a, c)), a))) = mult(mult(b, a), mult(mult(b, a), mult(a, c)))),
% 6.56/6.73 inference(transitivity,[status(thm)],[12684, 16541])).
% 6.56/6.73 tff(16543,plain,
% 6.56/6.73 ((mult(mult(b, mult(mult(a, mult(a, c)), a)), b) = mult(b, mult(b, mult(mult(a, mult(a, c)), a)))) <=> (mult(mult(mult(b, a), mult(a, c)), mult(b, a)) = mult(mult(b, a), mult(mult(b, a), mult(a, c))))),
% 6.56/6.73 inference(monotonicity,[status(thm)],[10952, 16542])).
% 6.56/6.73 tff(16544,plain,
% 6.56/6.73 ((mult(mult(mult(b, a), mult(a, c)), mult(b, a)) = mult(mult(b, a), mult(mult(b, a), mult(a, c)))) <=> (mult(mult(b, mult(mult(a, mult(a, c)), a)), b) = mult(b, mult(b, mult(mult(a, mult(a, c)), a))))),
% 6.56/6.73 inference(symmetry,[status(thm)],[16543])).
% 6.56/6.73 tff(16545,plain,
% 6.56/6.73 ((~(mult(mult(mult(b, a), mult(a, c)), mult(b, a)) = mult(mult(b, a), mult(mult(b, a), mult(a, c))))) <=> (~(mult(mult(b, mult(mult(a, mult(a, c)), a)), b) = mult(b, mult(b, mult(mult(a, mult(a, c)), a)))))),
% 6.56/6.73 inference(monotonicity,[status(thm)],[16544])).
% 6.56/6.73 tff(16546,plain,
% 6.56/6.73 (~(mult(mult(b, mult(mult(a, mult(a, c)), a)), b) = mult(b, mult(b, mult(mult(a, mult(a, c)), a))))),
% 6.56/6.73 inference(modus_ponens,[status(thm)],[11136, 16545])).
% 6.56/6.73 tff(16547,plain,
% 6.56/6.73 (((~(mult(mult(b, b), mult(mult(a, mult(a, c)), a)) = mult(b, mult(mult(mult(a, mult(a, c)), a), b)))) | (~(mult(mult(b, mult(mult(a, mult(a, c)), a)), b) = mult(b, mult(b, mult(mult(a, mult(a, c)), a)))))) | (mult(mult(b, mult(mult(a, mult(a, c)), a)), b) = mult(b, mult(b, mult(mult(a, mult(a, c)), a))))),
% 6.56/6.73 inference(tautology,[status(thm)],[])).
% 6.56/6.73 tff(16548,plain,
% 6.56/6.73 ((~(mult(mult(b, b), mult(mult(a, mult(a, c)), a)) = mult(b, mult(mult(mult(a, mult(a, c)), a), b)))) | (~(mult(mult(b, mult(mult(a, mult(a, c)), a)), b) = mult(b, mult(b, mult(mult(a, mult(a, c)), a)))))),
% 6.56/6.73 inference(unit_resolution,[status(thm)],[16547, 16546])).
% 6.56/6.73 tff(16549,plain,
% 6.56/6.73 (((~![X0: $i, X1: $i, X2: $i] : ((~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X2, X1)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X1, X2)))))) | (~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X1, X2)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X2, X1)))))))) | ((~((~(mult(mult(b, b), mult(mult(a, mult(a, c)), a)) = mult(b, mult(mult(mult(a, mult(a, c)), a), b)))) | (~(mult(mult(b, mult(mult(a, mult(a, c)), a)), b) = mult(b, mult(b, mult(mult(a, mult(a, c)), a))))))) | (~((~(mult(mult(b, b), mult(mult(a, mult(a, c)), a)) = mult(b, mult(b, mult(mult(a, mult(a, c)), a))))) | (~(mult(mult(b, mult(mult(a, mult(a, c)), a)), b) = mult(b, mult(mult(mult(a, mult(a, c)), a), b)))))))) <=> ((~![X0: $i, X1: $i, X2: $i] : ((~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X2, X1)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X1, X2)))))) | (~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X1, X2)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X2, X1)))))))) | (~((~(mult(mult(b, b), mult(mult(a, mult(a, c)), a)) = mult(b, mult(mult(mult(a, mult(a, c)), a), b)))) | (~(mult(mult(b, mult(mult(a, mult(a, c)), a)), b) = mult(b, mult(b, mult(mult(a, mult(a, c)), a))))))) | (~((~(mult(mult(b, b), mult(mult(a, mult(a, c)), a)) = mult(b, mult(b, mult(mult(a, mult(a, c)), a))))) | (~(mult(mult(b, mult(mult(a, mult(a, c)), a)), b) = mult(b, mult(mult(mult(a, mult(a, c)), a), b)))))))),
% 6.56/6.73 inference(rewrite,[status(thm)],[])).
% 6.56/6.73 tff(16550,plain,
% 6.56/6.73 ((~![X0: $i, X1: $i, X2: $i] : ((~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X2, X1)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X1, X2)))))) | (~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X1, X2)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X2, X1)))))))) | ((~((~(mult(mult(b, b), mult(mult(a, mult(a, c)), a)) = mult(b, mult(mult(mult(a, mult(a, c)), a), b)))) | (~(mult(mult(b, mult(mult(a, mult(a, c)), a)), b) = mult(b, mult(b, mult(mult(a, mult(a, c)), a))))))) | (~((~(mult(mult(b, b), mult(mult(a, mult(a, c)), a)) = mult(b, mult(b, mult(mult(a, mult(a, c)), a))))) | (~(mult(mult(b, mult(mult(a, mult(a, c)), a)), b) = mult(b, mult(mult(mult(a, mult(a, c)), a), b)))))))),
% 6.56/6.73 inference(quant_inst,[status(thm)],[])).
% 6.56/6.73 tff(16551,plain,
% 6.56/6.73 ((~![X0: $i, X1: $i, X2: $i] : ((~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X2, X1)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X1, X2)))))) | (~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X1, X2)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X2, X1)))))))) | (~((~(mult(mult(b, b), mult(mult(a, mult(a, c)), a)) = mult(b, mult(mult(mult(a, mult(a, c)), a), b)))) | (~(mult(mult(b, mult(mult(a, mult(a, c)), a)), b) = mult(b, mult(b, mult(mult(a, mult(a, c)), a))))))) | (~((~(mult(mult(b, b), mult(mult(a, mult(a, c)), a)) = mult(b, mult(b, mult(mult(a, mult(a, c)), a))))) | (~(mult(mult(b, mult(mult(a, mult(a, c)), a)), b) = mult(b, mult(mult(mult(a, mult(a, c)), a), b))))))),
% 6.56/6.73 inference(modus_ponens,[status(thm)],[16550, 16549])).
% 6.56/6.73 tff(16552,plain,
% 6.56/6.73 ((~((~(mult(mult(b, b), mult(mult(a, mult(a, c)), a)) = mult(b, mult(mult(mult(a, mult(a, c)), a), b)))) | (~(mult(mult(b, mult(mult(a, mult(a, c)), a)), b) = mult(b, mult(b, mult(mult(a, mult(a, c)), a))))))) | (~((~(mult(mult(b, b), mult(mult(a, mult(a, c)), a)) = mult(b, mult(b, mult(mult(a, mult(a, c)), a))))) | (~(mult(mult(b, mult(mult(a, mult(a, c)), a)), b) = mult(b, mult(mult(mult(a, mult(a, c)), a), b))))))),
% 6.56/6.73 inference(unit_resolution,[status(thm)],[16551, 30])).
% 6.56/6.73 tff(16553,plain,
% 6.56/6.73 (~((~(mult(mult(b, b), mult(mult(a, mult(a, c)), a)) = mult(b, mult(b, mult(mult(a, mult(a, c)), a))))) | (~(mult(mult(b, mult(mult(a, mult(a, c)), a)), b) = mult(b, mult(mult(mult(a, mult(a, c)), a), b)))))),
% 6.56/6.73 inference(unit_resolution,[status(thm)],[16552, 16548])).
% 6.56/6.73 tff(16554,plain,
% 6.56/6.73 (((~(mult(mult(b, b), mult(mult(a, mult(a, c)), a)) = mult(b, mult(b, mult(mult(a, mult(a, c)), a))))) | (~(mult(mult(b, mult(mult(a, mult(a, c)), a)), b) = mult(b, mult(mult(mult(a, mult(a, c)), a), b))))) | (mult(mult(b, mult(mult(a, mult(a, c)), a)), b) = mult(b, mult(mult(mult(a, mult(a, c)), a), b)))),
% 6.56/6.73 inference(tautology,[status(thm)],[])).
% 6.56/6.73 tff(16555,plain,
% 6.56/6.73 (mult(mult(b, mult(mult(a, mult(a, c)), a)), b) = mult(b, mult(mult(mult(a, mult(a, c)), a), b))),
% 6.56/6.73 inference(unit_resolution,[status(thm)],[16554, 16553])).
% 6.56/6.73 tff(16556,plain,
% 6.56/6.73 ((~![B: $i, A: $i] : (ld(A, mult(A, B)) = B)) | (ld(mult(b, a), mult(mult(b, a), mult(a, mult(c, mult(a, b))))) = mult(a, mult(c, mult(a, b))))),
% 6.56/6.73 inference(quant_inst,[status(thm)],[])).
% 6.56/6.73 tff(16557,plain,
% 6.56/6.73 (ld(mult(b, a), mult(mult(b, a), mult(a, mult(c, mult(a, b))))) = mult(a, mult(c, mult(a, b)))),
% 6.56/6.73 inference(unit_resolution,[status(thm)],[16556, 9])).
% 6.56/6.73 tff(16558,plain,
% 6.56/6.73 (mult(mult(a, mult(c, b)), a) = mult(mult(mult(a, c), b), a)),
% 6.56/6.73 inference(symmetry,[status(thm)],[9005])).
% 6.56/6.73 tff(16559,plain,
% 6.56/6.73 (mult(mult(a, mult(c, b)), a) = mult(mult(a, c), mult(b, a))),
% 6.56/6.73 inference(transitivity,[status(thm)],[16558, 93])).
% 6.56/6.73 tff(16560,plain,
% 6.56/6.73 (mult(mult(b, a), mult(mult(a, mult(c, b)), a)) = mult(mult(b, a), mult(mult(a, c), mult(b, a)))),
% 6.56/6.73 inference(monotonicity,[status(thm)],[16559])).
% 6.56/6.73 tff(16561,plain,
% 6.56/6.73 (mult(mult(b, a), mult(mult(a, c), mult(b, a))) = mult(mult(b, a), mult(mult(a, mult(c, b)), a))),
% 6.56/6.73 inference(symmetry,[status(thm)],[16560])).
% 6.56/6.73 tff(16562,assumption,(mult(mult(b, mult(mult(a, mult(a, c)), a)), b) = mult(b, mult(mult(mult(a, mult(a, c)), a), b))), introduced(assumption)).
% 6.56/6.73 tff(16563,plain,
% 6.56/6.73 (mult(b, mult(mult(mult(a, mult(a, c)), a), b)) = mult(mult(b, mult(mult(a, mult(a, c)), a)), b)),
% 6.56/6.73 inference(symmetry,[status(thm)],[16562])).
% 6.56/6.73 tff(16564,plain,
% 6.56/6.73 (mult(mult(a, mult(a, c)), a) = mult(a, mult(mult(a, c), a))),
% 6.56/6.73 inference(unit_resolution,[status(thm)],[10473, 914, 789])).
% 6.56/6.73 tff(16565,plain,
% 6.56/6.73 (mult(a, mult(mult(a, c), a)) = mult(mult(a, mult(a, c)), a)),
% 6.56/6.73 inference(symmetry,[status(thm)],[16564])).
% 6.56/6.73 tff(16566,plain,
% 6.56/6.73 (mult(mult(mult(a, a), c), a) = mult(mult(a, mult(a, c)), a)),
% 6.56/6.73 inference(transitivity,[status(thm)],[1658, 16565])).
% 6.56/6.73 tff(16567,plain,
% 6.56/6.73 (mult(mult(mult(mult(a, a), c), a), b) = mult(mult(mult(a, mult(a, c)), a), b)),
% 6.56/6.73 inference(monotonicity,[status(thm)],[16566])).
% 6.56/6.73 tff(16568,plain,
% 6.56/6.73 (mult(mult(mult(mult(a, a), c), b), a) = mult(mult(mult(a, a), mult(c, b)), a)),
% 6.56/6.73 inference(monotonicity,[status(thm)],[789])).
% 6.56/6.73 tff(16569,assumption,(mult(mult(mult(mult(a, a), c), b), a) = mult(mult(mult(a, a), c), mult(a, b))), introduced(assumption)).
% 6.56/6.73 tff(16570,plain,
% 6.56/6.73 (mult(mult(mult(a, a), c), mult(a, b)) = mult(mult(mult(mult(a, a), c), b), a)),
% 6.56/6.73 inference(symmetry,[status(thm)],[16569])).
% 6.56/6.73 tff(16571,plain,
% 6.56/6.73 (mult(mult(mult(a, a), c), b) = mult(mult(a, mult(a, c)), b)),
% 6.56/6.73 inference(transitivity,[status(thm)],[789, 8185, 2058, 939])).
% 6.56/6.73 tff(16572,plain,
% 6.56/6.73 (rd(mult(mult(mult(a, a), c), b), b) = rd(mult(mult(a, mult(a, c)), b), b)),
% 6.56/6.73 inference(monotonicity,[status(thm)],[16571])).
% 6.56/6.73 tff(16573,plain,
% 6.56/6.73 (rd(mult(mult(a, mult(a, c)), b), b) = rd(mult(mult(mult(a, a), c), b), b)),
% 6.56/6.73 inference(symmetry,[status(thm)],[16572])).
% 6.56/6.74 tff(16574,plain,
% 6.56/6.74 (mult(a, mult(a, c)) = mult(mult(a, a), c)),
% 6.56/6.74 inference(transitivity,[status(thm)],[6228, 16573, 2650])).
% 6.56/6.74 tff(16575,plain,
% 6.56/6.74 (mult(mult(a, mult(a, c)), mult(a, b)) = mult(mult(mult(a, a), c), mult(a, b))),
% 6.56/6.74 inference(monotonicity,[status(thm)],[16574])).
% 6.56/6.74 tff(16576,plain,
% 6.56/6.74 (mult(a, mult(mult(a, c), mult(a, b))) = mult(a, mult(mult(a, mult(c, b)), a))),
% 6.56/6.74 inference(transitivity,[status(thm)],[16192, 16575, 16570, 16568, 4757])).
% 6.56/6.74 tff(16577,plain,
% 6.56/6.74 (ld(a, mult(a, mult(mult(a, c), mult(a, b)))) = ld(a, mult(a, mult(mult(a, mult(c, b)), a)))),
% 6.56/6.74 inference(monotonicity,[status(thm)],[16576])).
% 6.56/6.74 tff(16578,plain,
% 6.56/6.74 (ld(a, mult(a, mult(mult(a, mult(c, b)), a))) = ld(a, mult(a, mult(mult(a, c), mult(a, b))))),
% 6.56/6.74 inference(symmetry,[status(thm)],[16577])).
% 6.56/6.74 tff(16579,plain,
% 6.56/6.74 (mult(mult(mult(a, c), b), a) = mult(mult(a, c), mult(a, b))),
% 6.56/6.74 inference(transitivity,[status(thm)],[958, 12304, 16578, 5418])).
% 6.56/6.74 tff(16580,plain,
% 6.56/6.74 ($false),
% 6.56/6.74 inference(unit_resolution,[status(thm)],[1226, 16579])).
% 6.56/6.74 tff(16581,plain,((~(mult(mult(mult(mult(a, a), c), b), a) = mult(mult(mult(a, a), c), mult(a, b)))) | (mult(mult(mult(a, c), b), a) = mult(mult(a, c), mult(a, b))) | (~(mult(mult(a, c), b) = mult(a, mult(c, b)))) | (~(mult(mult(a, mult(a, c)), mult(a, b)) = mult(a, mult(mult(a, c), mult(a, b))))) | (~(mult(mult(mult(a, a), c), b) = mult(mult(a, a), mult(c, b)))) | (~(mult(mult(a, mult(a, c)), b) = mult(a, mult(mult(a, c), b))))), inference(lemma,lemma(discharge,[]))).
% 6.56/6.74 tff(16582,plain,
% 6.56/6.74 ((~(mult(mult(mult(mult(a, a), c), b), a) = mult(mult(mult(a, a), c), mult(a, b)))) | (mult(mult(mult(a, c), b), a) = mult(mult(a, c), mult(a, b))) | (~(mult(mult(a, mult(a, c)), mult(a, b)) = mult(a, mult(mult(a, c), mult(a, b))))) | (~(mult(mult(mult(a, a), c), b) = mult(mult(a, a), mult(c, b)))) | (~(mult(mult(a, mult(a, c)), b) = mult(a, mult(mult(a, c), b))))),
% 6.56/6.74 inference(unit_resolution,[status(thm)],[16581, 8955])).
% 6.56/6.74 tff(16583,plain,
% 6.56/6.74 (~(mult(mult(mult(mult(a, a), c), b), a) = mult(mult(mult(a, a), c), mult(a, b)))),
% 6.56/6.74 inference(unit_resolution,[status(thm)],[16582, 1226, 16191, 789, 914])).
% 6.56/6.74 tff(16584,plain,
% 6.56/6.74 (((~(mult(mult(mult(mult(a, a), c), a), b) = mult(mult(mult(a, a), c), mult(b, a)))) | (~(mult(mult(mult(mult(a, a), c), b), a) = mult(mult(mult(a, a), c), mult(a, b))))) | (mult(mult(mult(mult(a, a), c), b), a) = mult(mult(mult(a, a), c), mult(a, b)))),
% 6.56/6.74 inference(tautology,[status(thm)],[])).
% 6.56/6.74 tff(16585,plain,
% 6.56/6.74 ((~(mult(mult(mult(mult(a, a), c), a), b) = mult(mult(mult(a, a), c), mult(b, a)))) | (~(mult(mult(mult(mult(a, a), c), b), a) = mult(mult(mult(a, a), c), mult(a, b))))),
% 6.56/6.74 inference(unit_resolution,[status(thm)],[16584, 16583])).
% 6.56/6.74 tff(16586,plain,
% 6.56/6.74 (((~![X0: $i, X1: $i, X2: $i] : ((~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X2, X1)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X1, X2)))))) | (~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X1, X2)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X2, X1)))))))) | ((~((~(mult(mult(mult(mult(a, a), c), a), b) = mult(mult(mult(a, a), c), mult(a, b)))) | (~(mult(mult(mult(mult(a, a), c), b), a) = mult(mult(mult(a, a), c), mult(b, a)))))) | (~((~(mult(mult(mult(mult(a, a), c), a), b) = mult(mult(mult(a, a), c), mult(b, a)))) | (~(mult(mult(mult(mult(a, a), c), b), a) = mult(mult(mult(a, a), c), mult(a, b)))))))) <=> ((~![X0: $i, X1: $i, X2: $i] : ((~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X2, X1)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X1, X2)))))) | (~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X1, X2)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X2, X1)))))))) | (~((~(mult(mult(mult(mult(a, a), c), a), b) = mult(mult(mult(a, a), c), mult(a, b)))) | (~(mult(mult(mult(mult(a, a), c), b), a) = mult(mult(mult(a, a), c), mult(b, a)))))) | (~((~(mult(mult(mult(mult(a, a), c), a), b) = mult(mult(mult(a, a), c), mult(b, a)))) | (~(mult(mult(mult(mult(a, a), c), b), a) = mult(mult(mult(a, a), c), mult(a, b)))))))),
% 6.56/6.74 inference(rewrite,[status(thm)],[])).
% 6.56/6.74 tff(16587,plain,
% 6.56/6.74 (((~((~(mult(mult(mult(mult(a, a), c), a), b) = mult(mult(mult(a, a), c), mult(b, a)))) | (~(mult(mult(mult(mult(a, a), c), b), a) = mult(mult(mult(a, a), c), mult(a, b)))))) | (~((~(mult(mult(mult(mult(a, a), c), a), b) = mult(mult(mult(a, a), c), mult(a, b)))) | (~(mult(mult(mult(mult(a, a), c), b), a) = mult(mult(mult(a, a), c), mult(b, a))))))) <=> ((~((~(mult(mult(mult(mult(a, a), c), a), b) = mult(mult(mult(a, a), c), mult(a, b)))) | (~(mult(mult(mult(mult(a, a), c), b), a) = mult(mult(mult(a, a), c), mult(b, a)))))) | (~((~(mult(mult(mult(mult(a, a), c), a), b) = mult(mult(mult(a, a), c), mult(b, a)))) | (~(mult(mult(mult(mult(a, a), c), b), a) = mult(mult(mult(a, a), c), mult(a, b)))))))),
% 6.56/6.74 inference(rewrite,[status(thm)],[])).
% 6.56/6.74 tff(16588,plain,
% 6.56/6.74 (((~![X0: $i, X1: $i, X2: $i] : ((~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X2, X1)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X1, X2)))))) | (~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X1, X2)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X2, X1)))))))) | ((~((~(mult(mult(mult(mult(a, a), c), a), b) = mult(mult(mult(a, a), c), mult(b, a)))) | (~(mult(mult(mult(mult(a, a), c), b), a) = mult(mult(mult(a, a), c), mult(a, b)))))) | (~((~(mult(mult(mult(mult(a, a), c), a), b) = mult(mult(mult(a, a), c), mult(a, b)))) | (~(mult(mult(mult(mult(a, a), c), b), a) = mult(mult(mult(a, a), c), mult(b, a)))))))) <=> ((~![X0: $i, X1: $i, X2: $i] : ((~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X2, X1)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X1, X2)))))) | (~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X1, X2)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X2, X1)))))))) | ((~((~(mult(mult(mult(mult(a, a), c), a), b) = mult(mult(mult(a, a), c), mult(a, b)))) | (~(mult(mult(mult(mult(a, a), c), b), a) = mult(mult(mult(a, a), c), mult(b, a)))))) | (~((~(mult(mult(mult(mult(a, a), c), a), b) = mult(mult(mult(a, a), c), mult(b, a)))) | (~(mult(mult(mult(mult(a, a), c), b), a) = mult(mult(mult(a, a), c), mult(a, b))))))))),
% 6.56/6.74 inference(monotonicity,[status(thm)],[16587])).
% 6.56/6.74 tff(16589,plain,
% 6.56/6.74 (((~![X0: $i, X1: $i, X2: $i] : ((~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X2, X1)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X1, X2)))))) | (~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X1, X2)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X2, X1)))))))) | ((~((~(mult(mult(mult(mult(a, a), c), a), b) = mult(mult(mult(a, a), c), mult(b, a)))) | (~(mult(mult(mult(mult(a, a), c), b), a) = mult(mult(mult(a, a), c), mult(a, b)))))) | (~((~(mult(mult(mult(mult(a, a), c), a), b) = mult(mult(mult(a, a), c), mult(a, b)))) | (~(mult(mult(mult(mult(a, a), c), b), a) = mult(mult(mult(a, a), c), mult(b, a)))))))) <=> ((~![X0: $i, X1: $i, X2: $i] : ((~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X2, X1)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X1, X2)))))) | (~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X1, X2)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X2, X1)))))))) | (~((~(mult(mult(mult(mult(a, a), c), a), b) = mult(mult(mult(a, a), c), mult(a, b)))) | (~(mult(mult(mult(mult(a, a), c), b), a) = mult(mult(mult(a, a), c), mult(b, a)))))) | (~((~(mult(mult(mult(mult(a, a), c), a), b) = mult(mult(mult(a, a), c), mult(b, a)))) | (~(mult(mult(mult(mult(a, a), c), b), a) = mult(mult(mult(a, a), c), mult(a, b)))))))),
% 6.56/6.74 inference(transitivity,[status(thm)],[16588, 16586])).
% 6.56/6.74 tff(16590,plain,
% 6.56/6.74 ((~![X0: $i, X1: $i, X2: $i] : ((~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X2, X1)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X1, X2)))))) | (~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X1, X2)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X2, X1)))))))) | ((~((~(mult(mult(mult(mult(a, a), c), a), b) = mult(mult(mult(a, a), c), mult(b, a)))) | (~(mult(mult(mult(mult(a, a), c), b), a) = mult(mult(mult(a, a), c), mult(a, b)))))) | (~((~(mult(mult(mult(mult(a, a), c), a), b) = mult(mult(mult(a, a), c), mult(a, b)))) | (~(mult(mult(mult(mult(a, a), c), b), a) = mult(mult(mult(a, a), c), mult(b, a)))))))),
% 6.56/6.74 inference(quant_inst,[status(thm)],[])).
% 6.56/6.74 tff(16591,plain,
% 6.56/6.74 ((~![X0: $i, X1: $i, X2: $i] : ((~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X2, X1)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X1, X2)))))) | (~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X1, X2)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X2, X1)))))))) | (~((~(mult(mult(mult(mult(a, a), c), a), b) = mult(mult(mult(a, a), c), mult(a, b)))) | (~(mult(mult(mult(mult(a, a), c), b), a) = mult(mult(mult(a, a), c), mult(b, a)))))) | (~((~(mult(mult(mult(mult(a, a), c), a), b) = mult(mult(mult(a, a), c), mult(b, a)))) | (~(mult(mult(mult(mult(a, a), c), b), a) = mult(mult(mult(a, a), c), mult(a, b))))))),
% 6.56/6.74 inference(modus_ponens,[status(thm)],[16590, 16589])).
% 6.56/6.74 tff(16592,plain,
% 6.56/6.74 ((~((~(mult(mult(mult(mult(a, a), c), a), b) = mult(mult(mult(a, a), c), mult(a, b)))) | (~(mult(mult(mult(mult(a, a), c), b), a) = mult(mult(mult(a, a), c), mult(b, a)))))) | (~((~(mult(mult(mult(mult(a, a), c), a), b) = mult(mult(mult(a, a), c), mult(b, a)))) | (~(mult(mult(mult(mult(a, a), c), b), a) = mult(mult(mult(a, a), c), mult(a, b))))))),
% 6.56/6.74 inference(unit_resolution,[status(thm)],[16591, 30])).
% 6.56/6.74 tff(16593,plain,
% 6.56/6.74 (~((~(mult(mult(mult(mult(a, a), c), a), b) = mult(mult(mult(a, a), c), mult(a, b)))) | (~(mult(mult(mult(mult(a, a), c), b), a) = mult(mult(mult(a, a), c), mult(b, a)))))),
% 6.56/6.74 inference(unit_resolution,[status(thm)],[16592, 16585])).
% 6.56/6.74 tff(16594,plain,
% 6.56/6.74 (((~(mult(mult(mult(mult(a, a), c), a), b) = mult(mult(mult(a, a), c), mult(a, b)))) | (~(mult(mult(mult(mult(a, a), c), b), a) = mult(mult(mult(a, a), c), mult(b, a))))) | (mult(mult(mult(mult(a, a), c), a), b) = mult(mult(mult(a, a), c), mult(a, b)))),
% 6.56/6.74 inference(tautology,[status(thm)],[])).
% 6.56/6.74 tff(16595,plain,
% 6.56/6.74 (mult(mult(mult(mult(a, a), c), a), b) = mult(mult(mult(a, a), c), mult(a, b))),
% 6.56/6.74 inference(unit_resolution,[status(thm)],[16594, 16593])).
% 6.56/6.74 tff(16596,plain,
% 6.56/6.74 (mult(mult(mult(a, a), c), mult(a, b)) = mult(mult(mult(mult(a, a), c), a), b)),
% 6.56/6.74 inference(symmetry,[status(thm)],[16595])).
% 6.56/6.74 tff(16597,plain,
% 6.56/6.74 (mult(mult(a, mult(a, c)), mult(a, b)) = mult(mult(mult(a, a), c), mult(a, b))),
% 6.56/6.74 inference(monotonicity,[status(thm)],[13509])).
% 6.56/6.74 tff(16598,plain,
% 6.56/6.74 (mult(a, mult(a, mult(c, mult(a, b)))) = mult(a, mult(mult(a, c), mult(a, b)))),
% 6.56/6.74 inference(monotonicity,[status(thm)],[989])).
% 6.56/6.74 tff(16599,plain,
% 6.56/6.74 (mult(a, mult(a, mult(c, mult(a, b)))) = mult(mult(mult(a, mult(a, c)), a), b)),
% 6.56/6.74 inference(transitivity,[status(thm)],[16598, 16192, 16597, 16596, 16567])).
% 6.56/6.74 tff(16600,plain,
% 6.56/6.74 (mult(b, mult(a, mult(a, mult(c, mult(a, b))))) = mult(b, mult(mult(mult(a, mult(a, c)), a), b))),
% 6.56/6.74 inference(monotonicity,[status(thm)],[16599])).
% 6.56/6.74 tff(16601,assumption,(mult(mult(b, a), mult(a, mult(c, mult(a, b)))) = mult(b, mult(a, mult(a, mult(c, mult(a, b)))))), introduced(assumption)).
% 6.56/6.74 tff(16602,plain,
% 6.56/6.74 (mult(mult(b, a), mult(a, mult(c, mult(a, b)))) = mult(mult(b, a), mult(mult(a, mult(c, b)), a))),
% 6.56/6.74 inference(transitivity,[status(thm)],[16601, 16600, 16563, 10951, 10947, 11366, 16561])).
% 6.56/6.74 tff(16603,plain,
% 6.56/6.74 (ld(mult(b, a), mult(mult(b, a), mult(a, mult(c, mult(a, b))))) = ld(mult(b, a), mult(mult(b, a), mult(mult(a, mult(c, b)), a)))),
% 6.56/6.74 inference(monotonicity,[status(thm)],[16602])).
% 6.56/6.74 tff(16604,plain,
% 6.56/6.74 (ld(mult(b, a), mult(mult(b, a), mult(mult(a, mult(c, b)), a))) = ld(mult(b, a), mult(mult(b, a), mult(a, mult(c, mult(a, b)))))),
% 6.56/6.74 inference(symmetry,[status(thm)],[16603])).
% 6.56/6.74 tff(16605,plain,
% 6.56/6.74 ((~![B: $i, A: $i] : (ld(A, mult(A, B)) = B)) | (ld(mult(b, a), mult(mult(b, a), mult(mult(a, mult(c, b)), a))) = mult(mult(a, mult(c, b)), a))),
% 6.56/6.74 inference(quant_inst,[status(thm)],[])).
% 6.56/6.74 tff(16606,plain,
% 6.56/6.74 (ld(mult(b, a), mult(mult(b, a), mult(mult(a, mult(c, b)), a))) = mult(mult(a, mult(c, b)), a)),
% 6.56/6.74 inference(unit_resolution,[status(thm)],[16605, 9])).
% 6.56/6.74 tff(16607,plain,
% 6.56/6.74 (mult(mult(a, mult(c, b)), a) = ld(mult(b, a), mult(mult(b, a), mult(mult(a, mult(c, b)), a)))),
% 6.56/6.74 inference(symmetry,[status(thm)],[16606])).
% 6.56/6.74 tff(16608,plain,
% 6.56/6.74 (mult(mult(mult(a, c), b), a) = mult(mult(a, c), mult(a, b))),
% 6.56/6.74 inference(transitivity,[status(thm)],[9005, 16607, 16604, 16557, 989])).
% 6.56/6.74 tff(16609,plain,
% 6.56/6.74 ($false),
% 6.56/6.74 inference(unit_resolution,[status(thm)],[1226, 16608])).
% 6.56/6.74 tff(16610,plain,((~(mult(mult(b, mult(mult(a, mult(a, c)), a)), b) = mult(b, mult(mult(mult(a, mult(a, c)), a), b)))) | (mult(mult(mult(a, c), b), a) = mult(mult(a, c), mult(a, b))) | (~(mult(mult(a, c), mult(a, b)) = mult(a, mult(c, mult(a, b))))) | (~(mult(mult(mult(b, a), mult(a, c)), mult(b, a)) = mult(mult(b, a), mult(mult(a, c), mult(b, a))))) | (~(mult(mult(b, a), mult(a, mult(c, mult(a, b)))) = mult(b, mult(a, mult(a, mult(c, mult(a, b))))))) | (~(mult(mult(mult(mult(b, a), mult(a, c)), a), b) = mult(mult(mult(b, a), mult(a, c)), mult(b, a)))) | (~(mult(mult(a, mult(a, c)), mult(a, b)) = mult(a, mult(mult(a, c), mult(a, b))))) | (~(mult(mult(a, mult(a, c)), b) = mult(a, mult(mult(a, c), b)))) | (~(mult(mult(mult(a, a), c), b) = mult(mult(a, a), mult(c, b)))) | (~(mult(mult(mult(a, c), b), a) = mult(mult(a, c), mult(b, a))))), inference(lemma,lemma(discharge,[]))).
% 6.56/6.74 tff(16611,plain,
% 6.56/6.74 (~(mult(mult(b, a), mult(a, mult(c, mult(a, b)))) = mult(b, mult(a, mult(a, mult(c, mult(a, b))))))),
% 6.56/6.74 inference(unit_resolution,[status(thm)],[16610, 16555, 988, 11152, 1226, 10947, 16191, 914, 789, 93])).
% 6.56/6.74 tff(16612,plain,
% 6.56/6.74 (((~(mult(mult(b, mult(a, mult(c, mult(a, b)))), a) = mult(b, mult(mult(a, mult(c, mult(a, b))), a)))) | (~(mult(mult(b, a), mult(a, mult(c, mult(a, b)))) = mult(b, mult(a, mult(a, mult(c, mult(a, b)))))))) | (mult(mult(b, a), mult(a, mult(c, mult(a, b)))) = mult(b, mult(a, mult(a, mult(c, mult(a, b))))))),
% 6.56/6.74 inference(tautology,[status(thm)],[])).
% 6.56/6.74 tff(16613,plain,
% 6.56/6.74 ((~(mult(mult(b, mult(a, mult(c, mult(a, b)))), a) = mult(b, mult(mult(a, mult(c, mult(a, b))), a)))) | (~(mult(mult(b, a), mult(a, mult(c, mult(a, b)))) = mult(b, mult(a, mult(a, mult(c, mult(a, b)))))))),
% 6.56/6.74 inference(unit_resolution,[status(thm)],[16612, 16611])).
% 6.56/6.74 tff(16614,plain,
% 6.56/6.74 (((~![X0: $i, X1: $i, X2: $i] : ((~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X2, X1)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X1, X2)))))) | (~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X1, X2)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X2, X1)))))))) | ((~((~(mult(mult(b, mult(a, mult(c, mult(a, b)))), a) = mult(b, mult(a, mult(a, mult(c, mult(a, b))))))) | (~(mult(mult(b, a), mult(a, mult(c, mult(a, b)))) = mult(b, mult(mult(a, mult(c, mult(a, b))), a)))))) | (~((~(mult(mult(b, mult(a, mult(c, mult(a, b)))), a) = mult(b, mult(mult(a, mult(c, mult(a, b))), a)))) | (~(mult(mult(b, a), mult(a, mult(c, mult(a, b)))) = mult(b, mult(a, mult(a, mult(c, mult(a, b))))))))))) <=> ((~![X0: $i, X1: $i, X2: $i] : ((~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X2, X1)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X1, X2)))))) | (~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X1, X2)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X2, X1)))))))) | (~((~(mult(mult(b, mult(a, mult(c, mult(a, b)))), a) = mult(b, mult(a, mult(a, mult(c, mult(a, b))))))) | (~(mult(mult(b, a), mult(a, mult(c, mult(a, b)))) = mult(b, mult(mult(a, mult(c, mult(a, b))), a)))))) | (~((~(mult(mult(b, mult(a, mult(c, mult(a, b)))), a) = mult(b, mult(mult(a, mult(c, mult(a, b))), a)))) | (~(mult(mult(b, a), mult(a, mult(c, mult(a, b)))) = mult(b, mult(a, mult(a, mult(c, mult(a, b))))))))))),
% 6.56/6.74 inference(rewrite,[status(thm)],[])).
% 6.56/6.74 tff(16615,plain,
% 6.56/6.74 ((~![X0: $i, X1: $i, X2: $i] : ((~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X2, X1)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X1, X2)))))) | (~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X1, X2)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X2, X1)))))))) | ((~((~(mult(mult(b, mult(a, mult(c, mult(a, b)))), a) = mult(b, mult(a, mult(a, mult(c, mult(a, b))))))) | (~(mult(mult(b, a), mult(a, mult(c, mult(a, b)))) = mult(b, mult(mult(a, mult(c, mult(a, b))), a)))))) | (~((~(mult(mult(b, mult(a, mult(c, mult(a, b)))), a) = mult(b, mult(mult(a, mult(c, mult(a, b))), a)))) | (~(mult(mult(b, a), mult(a, mult(c, mult(a, b)))) = mult(b, mult(a, mult(a, mult(c, mult(a, b))))))))))),
% 6.56/6.74 inference(quant_inst,[status(thm)],[])).
% 6.56/6.74 tff(16616,plain,
% 6.56/6.74 ((~![X0: $i, X1: $i, X2: $i] : ((~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X2, X1)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X1, X2)))))) | (~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X1, X2)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X2, X1)))))))) | (~((~(mult(mult(b, mult(a, mult(c, mult(a, b)))), a) = mult(b, mult(a, mult(a, mult(c, mult(a, b))))))) | (~(mult(mult(b, a), mult(a, mult(c, mult(a, b)))) = mult(b, mult(mult(a, mult(c, mult(a, b))), a)))))) | (~((~(mult(mult(b, mult(a, mult(c, mult(a, b)))), a) = mult(b, mult(mult(a, mult(c, mult(a, b))), a)))) | (~(mult(mult(b, a), mult(a, mult(c, mult(a, b)))) = mult(b, mult(a, mult(a, mult(c, mult(a, b)))))))))),
% 6.56/6.75 inference(modus_ponens,[status(thm)],[16615, 16614])).
% 6.56/6.75 tff(16617,plain,
% 6.56/6.75 ((~((~(mult(mult(b, mult(a, mult(c, mult(a, b)))), a) = mult(b, mult(a, mult(a, mult(c, mult(a, b))))))) | (~(mult(mult(b, a), mult(a, mult(c, mult(a, b)))) = mult(b, mult(mult(a, mult(c, mult(a, b))), a)))))) | (~((~(mult(mult(b, mult(a, mult(c, mult(a, b)))), a) = mult(b, mult(mult(a, mult(c, mult(a, b))), a)))) | (~(mult(mult(b, a), mult(a, mult(c, mult(a, b)))) = mult(b, mult(a, mult(a, mult(c, mult(a, b)))))))))),
% 6.56/6.75 inference(unit_resolution,[status(thm)],[16616, 30])).
% 6.56/6.75 tff(16618,plain,
% 6.56/6.75 (~((~(mult(mult(b, mult(a, mult(c, mult(a, b)))), a) = mult(b, mult(a, mult(a, mult(c, mult(a, b))))))) | (~(mult(mult(b, a), mult(a, mult(c, mult(a, b)))) = mult(b, mult(mult(a, mult(c, mult(a, b))), a)))))),
% 6.56/6.75 inference(unit_resolution,[status(thm)],[16617, 16613])).
% 6.56/6.75 tff(16619,plain,
% 6.56/6.75 (((~(mult(mult(b, mult(a, mult(c, mult(a, b)))), a) = mult(b, mult(a, mult(a, mult(c, mult(a, b))))))) | (~(mult(mult(b, a), mult(a, mult(c, mult(a, b)))) = mult(b, mult(mult(a, mult(c, mult(a, b))), a))))) | (mult(mult(b, a), mult(a, mult(c, mult(a, b)))) = mult(b, mult(mult(a, mult(c, mult(a, b))), a)))),
% 6.56/6.75 inference(tautology,[status(thm)],[])).
% 6.56/6.75 tff(16620,plain,
% 6.56/6.75 (mult(mult(b, a), mult(a, mult(c, mult(a, b)))) = mult(b, mult(mult(a, mult(c, mult(a, b))), a))),
% 6.56/6.75 inference(unit_resolution,[status(thm)],[16619, 16618])).
% 6.56/6.75 tff(16621,plain,
% 6.56/6.75 (mult(mult(b, a), mult(a, mult(mult(c, a), b))) = mult(mult(b, a), mult(a, mult(c, mult(a, b))))),
% 6.56/6.75 inference(monotonicity,[status(thm)],[2024])).
% 6.56/6.75 tff(16622,plain,
% 6.56/6.75 (mult(mult(b, a), mult(mult(a, c), mult(a, b))) = mult(mult(b, a), mult(a, mult(mult(c, a), b)))),
% 6.56/6.75 inference(monotonicity,[status(thm)],[16026])).
% 6.56/6.75 tff(16623,plain,
% 6.56/6.75 (mult(mult(b, a), mult(mult(a, c), mult(a, b))) = mult(mult(b, mult(a, c)), mult(mult(a, b), a))),
% 6.56/6.75 inference(transitivity,[status(thm)],[16622, 16621, 16620, 16536, 16533, 16531])).
% 6.56/6.75 tff(16624,plain,
% 6.56/6.75 (mult(b, mult(mult(a, b), mult(mult(a, c), a))) = mult(b, mult(mult(mult(a, b), a), mult(a, c)))),
% 6.56/6.75 inference(symmetry,[status(thm)],[16519])).
% 6.56/6.75 tff(16625,plain,
% 6.56/6.75 (mult(mult(mult(b, a), mult(a, c)), mult(a, b)) = mult(b, mult(mult(mult(a, b), a), mult(a, c)))),
% 6.56/6.75 inference(transitivity,[status(thm)],[11595, 12696, 16624])).
% 6.56/6.75 tff(16626,plain,
% 6.56/6.75 ((mult(mult(mult(b, a), mult(a, c)), mult(a, b)) = mult(mult(b, a), mult(mult(a, c), mult(a, b)))) <=> (mult(b, mult(mult(mult(a, b), a), mult(a, c))) = mult(mult(b, mult(a, c)), mult(mult(a, b), a)))),
% 6.56/6.75 inference(monotonicity,[status(thm)],[16625, 16623])).
% 6.56/6.75 tff(16627,plain,
% 6.56/6.75 ((mult(mult(mult(b, a), mult(a, c)), mult(a, b)) = mult(mult(b, a), mult(mult(a, c), mult(a, b)))) <=> (mult(mult(b, mult(a, c)), mult(mult(a, b), a)) = mult(b, mult(mult(mult(a, b), a), mult(a, c))))),
% 6.56/6.75 inference(transitivity,[status(thm)],[16626, 16526])).
% 6.56/6.75 tff(16628,plain,
% 6.56/6.75 ((mult(mult(b, mult(a, c)), mult(mult(a, b), a)) = mult(b, mult(mult(mult(a, b), a), mult(a, c)))) <=> (mult(mult(mult(b, a), mult(a, c)), mult(a, b)) = mult(mult(b, a), mult(mult(a, c), mult(a, b))))),
% 6.56/6.75 inference(symmetry,[status(thm)],[16627])).
% 6.56/6.75 tff(16629,plain,
% 6.56/6.75 ((~(mult(mult(b, mult(a, c)), mult(mult(a, b), a)) = mult(b, mult(mult(mult(a, b), a), mult(a, c))))) <=> (~(mult(mult(mult(b, a), mult(a, c)), mult(a, b)) = mult(mult(b, a), mult(mult(a, c), mult(a, b)))))),
% 6.56/6.75 inference(monotonicity,[status(thm)],[16628])).
% 6.56/6.75 tff(16630,plain,
% 6.56/6.75 (~(mult(mult(mult(b, a), mult(a, c)), mult(a, b)) = mult(mult(b, a), mult(mult(a, c), mult(a, b))))),
% 6.56/6.75 inference(modus_ponens,[status(thm)],[16527, 16629])).
% 6.56/6.75 tff(16631,plain,
% 6.56/6.75 (((~(mult(mult(mult(b, a), mult(a, b)), mult(a, c)) = mult(mult(b, a), mult(mult(a, b), mult(a, c))))) | (~(mult(mult(mult(b, a), mult(a, c)), mult(a, b)) = mult(mult(b, a), mult(mult(a, c), mult(a, b)))))) | (mult(mult(mult(b, a), mult(a, c)), mult(a, b)) = mult(mult(b, a), mult(mult(a, c), mult(a, b))))),
% 6.56/6.75 inference(tautology,[status(thm)],[])).
% 6.56/6.75 tff(16632,plain,
% 6.56/6.75 ((~(mult(mult(mult(b, a), mult(a, b)), mult(a, c)) = mult(mult(b, a), mult(mult(a, b), mult(a, c))))) | (~(mult(mult(mult(b, a), mult(a, c)), mult(a, b)) = mult(mult(b, a), mult(mult(a, c), mult(a, b)))))),
% 6.56/6.75 inference(unit_resolution,[status(thm)],[16631, 16630])).
% 6.56/6.75 tff(16633,plain,
% 6.56/6.75 (mult(mult(b, mult(mult(a, b), a)), mult(a, c)) = mult(b, mult(mult(mult(a, b), a), mult(a, c)))),
% 6.56/6.75 inference(unit_resolution,[status(thm)],[13219, 16529])).
% 6.56/6.75 tff(16634,plain,
% 6.56/6.75 (mult(b, mult(mult(a, b), mult(mult(a, c), a))) = mult(b, mult(mult(mult(a, b), a), mult(a, c)))),
% 6.56/6.75 inference(monotonicity,[status(thm)],[11018])).
% 6.56/6.75 tff(16635,plain,
% 6.56/6.75 (mult(b, mult(mult(mult(a, b), a), mult(a, c))) = mult(b, mult(mult(a, b), mult(mult(a, c), a)))),
% 6.56/6.75 inference(symmetry,[status(thm)],[16634])).
% 6.56/6.75 tff(16636,plain,
% 6.56/6.75 (((~(mult(mult(mult(mult(a, a), c), a), b) = mult(mult(mult(a, a), c), mult(a, b)))) | (~(mult(mult(mult(mult(a, a), c), b), a) = mult(mult(mult(a, a), c), mult(b, a))))) | (mult(mult(mult(mult(a, a), c), b), a) = mult(mult(mult(a, a), c), mult(b, a)))),
% 6.56/6.75 inference(tautology,[status(thm)],[])).
% 6.56/6.75 tff(16637,plain,
% 6.56/6.75 (mult(mult(mult(mult(a, a), c), b), a) = mult(mult(mult(a, a), c), mult(b, a))),
% 6.56/6.75 inference(unit_resolution,[status(thm)],[16636, 16593])).
% 6.56/6.75 tff(16638,plain,
% 6.56/6.75 (mult(mult(a, c), mult(b, a)) = mult(mult(a, mult(c, b)), a)),
% 6.56/6.75 inference(transitivity,[status(thm)],[153, 958])).
% 6.56/6.75 tff(16639,plain,
% 6.56/6.75 (mult(a, mult(mult(a, c), mult(b, a))) = mult(a, mult(mult(a, mult(c, b)), a))),
% 6.56/6.75 inference(monotonicity,[status(thm)],[16638])).
% 6.56/6.75 tff(16640,plain,
% 6.56/6.75 (mult(a, mult(mult(a, mult(c, b)), a)) = mult(a, mult(mult(a, c), mult(b, a)))),
% 6.56/6.75 inference(symmetry,[status(thm)],[16639])).
% 6.56/6.75 tff(16641,assumption,(mult(mult(mult(mult(a, a), c), b), a) = mult(mult(mult(a, a), c), mult(b, a))), introduced(assumption)).
% 6.56/6.75 tff(16642,plain,
% 6.56/6.75 (mult(mult(mult(a, a), c), mult(b, a)) = mult(mult(mult(mult(a, a), c), b), a)),
% 6.56/6.75 inference(symmetry,[status(thm)],[16641])).
% 6.56/6.75 tff(16643,plain,
% 6.56/6.75 (mult(mult(a, mult(a, c)), mult(b, a)) = mult(mult(mult(a, a), c), mult(b, a))),
% 6.56/6.75 inference(monotonicity,[status(thm)],[16574])).
% 6.56/6.75 tff(16644,plain,
% 6.56/6.75 (mult(mult(a, mult(a, c)), mult(b, a)) = mult(mult(a, mult(b, a)), mult(a, c))),
% 6.56/6.75 inference(transitivity,[status(thm)],[16643, 16642, 16568, 4757, 16640, 11068])).
% 6.56/6.75 tff(16645,plain,
% 6.56/6.75 ((mult(mult(a, mult(a, c)), mult(b, a)) = mult(a, mult(mult(b, a), mult(a, c)))) <=> (mult(mult(a, mult(b, a)), mult(a, c)) = mult(a, mult(mult(b, a), mult(a, c))))),
% 6.56/6.75 inference(monotonicity,[status(thm)],[16644])).
% 6.56/6.75 tff(16646,plain,
% 6.56/6.75 ((mult(mult(a, mult(b, a)), mult(a, c)) = mult(a, mult(mult(b, a), mult(a, c)))) <=> (mult(mult(a, mult(a, c)), mult(b, a)) = mult(a, mult(mult(b, a), mult(a, c))))),
% 6.56/6.75 inference(symmetry,[status(thm)],[16645])).
% 6.56/6.75 tff(16647,plain,
% 6.56/6.75 ((~(mult(mult(a, mult(b, a)), mult(a, c)) = mult(a, mult(mult(b, a), mult(a, c))))) <=> (~(mult(mult(a, mult(a, c)), mult(b, a)) = mult(a, mult(mult(b, a), mult(a, c)))))),
% 6.56/6.75 inference(monotonicity,[status(thm)],[16646])).
% 6.56/6.75 tff(16648,plain,
% 6.56/6.75 (~(mult(mult(a, mult(a, c)), mult(b, a)) = mult(a, mult(mult(b, a), mult(a, c))))),
% 6.56/6.75 inference(modus_ponens,[status(thm)],[11058, 16647])).
% 6.56/6.75 tff(16649,plain,
% 6.56/6.75 ($false),
% 6.56/6.75 inference(unit_resolution,[status(thm)],[11076, 16648])).
% 6.56/6.75 tff(16650,plain,((mult(mult(a, mult(b, a)), mult(a, c)) = mult(a, mult(mult(b, a), mult(a, c)))) | (~(mult(mult(mult(mult(a, a), c), b), a) = mult(mult(mult(a, a), c), mult(b, a)))) | (~(mult(mult(mult(a, c), b), a) = mult(mult(a, c), mult(b, a)))) | (~(mult(mult(a, c), b) = mult(a, mult(c, b)))) | (~(mult(mult(mult(a, a), c), b) = mult(mult(a, a), mult(c, b)))) | (~(mult(mult(a, mult(a, c)), b) = mult(a, mult(mult(a, c), b))))), inference(lemma,lemma(discharge,[]))).
% 6.56/6.75 tff(16651,plain,
% 6.56/6.75 ((mult(mult(a, mult(b, a)), mult(a, c)) = mult(a, mult(mult(b, a), mult(a, c)))) | (~(mult(mult(mult(mult(a, a), c), b), a) = mult(mult(mult(a, a), c), mult(b, a)))) | (~(mult(mult(mult(a, c), b), a) = mult(mult(a, c), mult(b, a)))) | (~(mult(mult(mult(a, a), c), b) = mult(mult(a, a), mult(c, b)))) | (~(mult(mult(a, mult(a, c)), b) = mult(a, mult(mult(a, c), b))))),
% 6.56/6.75 inference(unit_resolution,[status(thm)],[16650, 8955])).
% 6.56/6.75 tff(16652,plain,
% 6.56/6.75 (mult(mult(a, mult(b, a)), mult(a, c)) = mult(a, mult(mult(b, a), mult(a, c)))),
% 6.56/6.75 inference(unit_resolution,[status(thm)],[16651, 16637, 93, 789, 914])).
% 6.56/6.75 tff(16653,plain,
% 6.56/6.75 (mult(a, mult(mult(b, a), mult(a, c))) = mult(mult(mult(a, b), a), mult(a, c))),
% 6.56/6.75 inference(transitivity,[status(thm)],[11306, 11015])).
% 6.56/6.75 tff(16654,plain,
% 6.56/6.75 (mult(b, mult(a, mult(mult(b, a), mult(a, c)))) = mult(b, mult(mult(mult(a, b), a), mult(a, c)))),
% 6.56/6.75 inference(monotonicity,[status(thm)],[16653])).
% 6.56/6.75 tff(16655,plain,
% 6.56/6.75 (mult(b, mult(mult(mult(a, b), a), mult(a, c))) = mult(b, mult(a, mult(mult(b, a), mult(a, c))))),
% 6.56/6.75 inference(symmetry,[status(thm)],[16654])).
% 6.56/6.75 tff(16656,plain,
% 6.56/6.75 ((mult(mult(b, mult(mult(a, b), a)), mult(a, c)) = mult(b, mult(mult(mult(a, b), a), mult(a, c)))) <=> (mult(mult(b, a), mult(mult(b, a), mult(a, c))) = mult(b, mult(a, mult(mult(b, a), mult(a, c)))))),
% 6.56/6.75 inference(monotonicity,[status(thm)],[13639, 16655])).
% 6.56/6.75 tff(16657,plain,
% 6.56/6.75 (mult(mult(b, a), mult(mult(b, a), mult(a, c))) = mult(b, mult(a, mult(mult(b, a), mult(a, c))))),
% 6.56/6.75 inference(modus_ponens,[status(thm)],[13228, 16656])).
% 6.56/6.75 tff(16658,plain,
% 6.56/6.75 ($false),
% 6.56/6.75 inference(unit_resolution,[status(thm)],[16537, 16657])).
% 6.56/6.75 tff(16659,plain,((~(mult(mult(b, mult(mult(a, b), a)), mult(a, c)) = mult(b, mult(mult(mult(a, b), a), mult(a, c))))) | (mult(mult(b, a), mult(mult(b, a), mult(a, c))) = mult(b, mult(a, mult(mult(b, a), mult(a, c))))) | (~(mult(mult(a, mult(b, a)), mult(a, c)) = mult(a, mult(mult(b, a), mult(a, c))))) | (~(mult(mult(mult(b, a), mult(b, a)), mult(a, c)) = mult(mult(b, a), mult(mult(b, a), mult(a, c))))) | (~(mult(mult(mult(b, a), b), a) = mult(mult(b, a), mult(b, a))))), inference(lemma,lemma(discharge,[]))).
% 6.56/6.75 tff(16660,plain,
% 6.56/6.75 (~(mult(mult(b, mult(mult(a, b), a)), mult(a, c)) = mult(b, mult(mult(mult(a, b), a), mult(a, c))))),
% 6.56/6.75 inference(unit_resolution,[status(thm)],[16659, 16537, 16652, 11176, 11025])).
% 6.56/6.75 tff(16661,plain,
% 6.56/6.75 ((~(mult(mult(b, mult(a, c)), mult(mult(a, b), a)) = mult(b, mult(mult(a, c), mult(mult(a, b), a))))) | (~(mult(mult(b, mult(mult(a, b), a)), mult(a, c)) = mult(b, mult(mult(mult(a, b), a), mult(a, c)))))),
% 6.56/6.75 inference(unit_resolution,[status(thm)],[11543, 16660])).
% 6.56/6.75 tff(16662,plain,
% 6.56/6.75 (~((~(mult(mult(b, mult(a, c)), mult(mult(a, b), a)) = mult(b, mult(mult(mult(a, b), a), mult(a, c))))) | (~(mult(mult(b, mult(mult(a, b), a)), mult(a, c)) = mult(b, mult(mult(a, c), mult(mult(a, b), a))))))),
% 6.56/6.75 inference(unit_resolution,[status(thm)],[11195, 16661])).
% 6.56/6.75 tff(16663,plain,
% 6.56/6.75 (mult(mult(b, mult(mult(a, b), a)), mult(a, c)) = mult(b, mult(mult(a, c), mult(mult(a, b), a)))),
% 6.56/6.75 inference(unit_resolution,[status(thm)],[11187, 16662])).
% 6.56/6.75 tff(16664,plain,
% 6.56/6.75 (mult(b, mult(mult(a, c), mult(mult(a, b), a))) = mult(mult(b, mult(mult(a, b), a)), mult(a, c))),
% 6.56/6.75 inference(symmetry,[status(thm)],[16663])).
% 6.56/6.75 tff(16665,plain,
% 6.56/6.75 (mult(b, mult(a, mult(c, mult(mult(a, b), a)))) = mult(b, mult(mult(a, c), mult(mult(a, b), a)))),
% 6.56/6.75 inference(monotonicity,[status(thm)],[11035])).
% 6.56/6.75 tff(16666,plain,
% 6.56/6.75 (((~(mult(mult(b, a), mult(a, mult(c, mult(a, b)))) = mult(b, mult(a, mult(a, mult(c, mult(a, b))))))) | (~(mult(mult(b, mult(a, mult(c, mult(a, b)))), a) = mult(b, mult(mult(a, mult(c, mult(a, b))), a))))) | (mult(mult(b, a), mult(a, mult(c, mult(a, b)))) = mult(b, mult(a, mult(a, mult(c, mult(a, b))))))),
% 6.56/6.76 inference(tautology,[status(thm)],[])).
% 6.56/6.76 tff(16667,plain,
% 6.56/6.76 ((~(mult(mult(b, a), mult(a, mult(c, mult(a, b)))) = mult(b, mult(a, mult(a, mult(c, mult(a, b))))))) | (~(mult(mult(b, mult(a, mult(c, mult(a, b)))), a) = mult(b, mult(mult(a, mult(c, mult(a, b))), a))))),
% 6.56/6.76 inference(unit_resolution,[status(thm)],[16666, 16611])).
% 6.56/6.76 tff(16668,plain,
% 6.56/6.76 (((~![X0: $i, X1: $i, X2: $i] : ((~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X2, X1)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X1, X2)))))) | (~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X1, X2)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X2, X1)))))))) | ((~((~(mult(mult(b, a), mult(a, mult(c, mult(a, b)))) = mult(b, mult(mult(a, mult(c, mult(a, b))), a)))) | (~(mult(mult(b, mult(a, mult(c, mult(a, b)))), a) = mult(b, mult(a, mult(a, mult(c, mult(a, b))))))))) | (~((~(mult(mult(b, a), mult(a, mult(c, mult(a, b)))) = mult(b, mult(a, mult(a, mult(c, mult(a, b))))))) | (~(mult(mult(b, mult(a, mult(c, mult(a, b)))), a) = mult(b, mult(mult(a, mult(c, mult(a, b))), a)))))))) <=> ((~![X0: $i, X1: $i, X2: $i] : ((~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X2, X1)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X1, X2)))))) | (~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X1, X2)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X2, X1)))))))) | (~((~(mult(mult(b, a), mult(a, mult(c, mult(a, b)))) = mult(b, mult(mult(a, mult(c, mult(a, b))), a)))) | (~(mult(mult(b, mult(a, mult(c, mult(a, b)))), a) = mult(b, mult(a, mult(a, mult(c, mult(a, b))))))))) | (~((~(mult(mult(b, a), mult(a, mult(c, mult(a, b)))) = mult(b, mult(a, mult(a, mult(c, mult(a, b))))))) | (~(mult(mult(b, mult(a, mult(c, mult(a, b)))), a) = mult(b, mult(mult(a, mult(c, mult(a, b))), a)))))))),
% 6.56/6.76 inference(rewrite,[status(thm)],[])).
% 6.56/6.76 tff(16669,plain,
% 6.56/6.76 ((~![X0: $i, X1: $i, X2: $i] : ((~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X2, X1)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X1, X2)))))) | (~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X1, X2)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X2, X1)))))))) | ((~((~(mult(mult(b, a), mult(a, mult(c, mult(a, b)))) = mult(b, mult(mult(a, mult(c, mult(a, b))), a)))) | (~(mult(mult(b, mult(a, mult(c, mult(a, b)))), a) = mult(b, mult(a, mult(a, mult(c, mult(a, b))))))))) | (~((~(mult(mult(b, a), mult(a, mult(c, mult(a, b)))) = mult(b, mult(a, mult(a, mult(c, mult(a, b))))))) | (~(mult(mult(b, mult(a, mult(c, mult(a, b)))), a) = mult(b, mult(mult(a, mult(c, mult(a, b))), a)))))))),
% 6.56/6.76 inference(quant_inst,[status(thm)],[])).
% 6.56/6.76 tff(16670,plain,
% 6.56/6.76 ((~![X0: $i, X1: $i, X2: $i] : ((~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X2, X1)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X1, X2)))))) | (~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X1, X2)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X2, X1)))))))) | (~((~(mult(mult(b, a), mult(a, mult(c, mult(a, b)))) = mult(b, mult(mult(a, mult(c, mult(a, b))), a)))) | (~(mult(mult(b, mult(a, mult(c, mult(a, b)))), a) = mult(b, mult(a, mult(a, mult(c, mult(a, b))))))))) | (~((~(mult(mult(b, a), mult(a, mult(c, mult(a, b)))) = mult(b, mult(a, mult(a, mult(c, mult(a, b))))))) | (~(mult(mult(b, mult(a, mult(c, mult(a, b)))), a) = mult(b, mult(mult(a, mult(c, mult(a, b))), a))))))),
% 6.56/6.76 inference(modus_ponens,[status(thm)],[16669, 16668])).
% 6.56/6.76 tff(16671,plain,
% 6.56/6.76 (~((~(mult(mult(b, a), mult(a, mult(c, mult(a, b)))) = mult(b, mult(mult(a, mult(c, mult(a, b))), a)))) | (~(mult(mult(b, mult(a, mult(c, mult(a, b)))), a) = mult(b, mult(a, mult(a, mult(c, mult(a, b))))))))),
% 6.56/6.76 inference(unit_resolution,[status(thm)],[16670, 30, 16667])).
% 6.56/6.76 tff(16672,plain,
% 6.56/6.76 (((~(mult(mult(b, a), mult(a, mult(c, mult(a, b)))) = mult(b, mult(mult(a, mult(c, mult(a, b))), a)))) | (~(mult(mult(b, mult(a, mult(c, mult(a, b)))), a) = mult(b, mult(a, mult(a, mult(c, mult(a, b)))))))) | (mult(mult(b, a), mult(a, mult(c, mult(a, b)))) = mult(b, mult(mult(a, mult(c, mult(a, b))), a)))),
% 6.56/6.76 inference(tautology,[status(thm)],[])).
% 6.56/6.76 tff(16673,plain,
% 6.56/6.76 (mult(mult(b, a), mult(a, mult(c, mult(a, b)))) = mult(b, mult(mult(a, mult(c, mult(a, b))), a))),
% 6.56/6.76 inference(unit_resolution,[status(thm)],[16672, 16671])).
% 6.56/6.76 tff(16674,plain,
% 6.56/6.76 (mult(mult(b, a), mult(a, mult(c, mult(a, b)))) = mult(mult(b, a), mult(mult(b, a), mult(a, c)))),
% 6.56/6.76 inference(transitivity,[status(thm)],[16673, 16536, 16665, 16664, 12042, 11176])).
% 6.56/6.76 tff(16675,plain,
% 6.56/6.76 (ld(mult(b, a), mult(mult(b, a), mult(a, mult(c, mult(a, b))))) = ld(mult(b, a), mult(mult(b, a), mult(mult(b, a), mult(a, c))))),
% 6.56/6.76 inference(monotonicity,[status(thm)],[16674])).
% 6.56/6.76 tff(16676,plain,
% 6.56/6.76 (ld(mult(b, a), mult(mult(b, a), mult(mult(b, a), mult(a, c)))) = ld(mult(b, a), mult(mult(b, a), mult(a, mult(c, mult(a, b)))))),
% 6.56/6.76 inference(symmetry,[status(thm)],[16675])).
% 6.56/6.76 tff(16677,plain,
% 6.56/6.76 (mult(mult(b, a), mult(a, c)) = mult(mult(a, c), mult(a, b))),
% 6.56/6.76 inference(transitivity,[status(thm)],[11270, 16676, 16557, 989])).
% 6.56/6.76 tff(16678,plain,
% 6.56/6.76 (mult(a, mult(mult(b, a), mult(a, c))) = mult(a, mult(mult(a, c), mult(a, b)))),
% 6.56/6.76 inference(monotonicity,[status(thm)],[16677])).
% 6.56/6.76 tff(16679,plain,
% 6.56/6.76 (mult(mult(mult(a, b), a), mult(a, c)) = mult(mult(mult(a, mult(a, c)), a), b)),
% 6.56/6.76 inference(transitivity,[status(thm)],[11304, 16652, 16678, 16192, 16597, 16596, 16567])).
% 6.56/6.76 tff(16680,plain,
% 6.56/6.76 (mult(b, mult(mult(mult(a, b), a), mult(a, c))) = mult(b, mult(mult(mult(a, mult(a, c)), a), b))),
% 6.56/6.76 inference(monotonicity,[status(thm)],[16679])).
% 6.56/6.76 tff(16681,plain,
% 6.56/6.76 (mult(b, mult(mult(mult(a, mult(a, c)), a), b)) = mult(b, mult(mult(mult(a, b), a), mult(a, c)))),
% 6.56/6.76 inference(symmetry,[status(thm)],[16680])).
% 6.56/6.76 tff(16682,plain,
% 6.56/6.76 (mult(mult(mult(b, mult(c, a)), a), mult(b, a)) = mult(mult(b, mult(c, a)), mult(a, mult(b, a)))),
% 6.56/6.76 inference(transitivity,[status(thm)],[3534, 11411, 12692, 16555, 16681, 16635, 12697, 11392, 11390, 11389, 4198, 4196])).
% 6.56/6.76 tff(16683,plain,
% 6.56/6.76 ($false),
% 6.56/6.76 inference(unit_resolution,[status(thm)],[10726, 16682])).
% 6.56/6.76 tff(16684,plain,((mult(mult(b, a), mult(mult(b, a), mult(a, c))) = mult(b, mult(a, mult(mult(b, a), mult(a, c))))) | (mult(mult(mult(b, mult(c, a)), a), mult(b, a)) = mult(mult(b, mult(c, a)), mult(a, mult(b, a)))) | (~(mult(mult(mult(mult(b, a), mult(a, c)), b), a) = mult(mult(mult(b, a), mult(a, c)), mult(a, b)))) | (~(mult(mult(b, mult(mult(a, c), a)), mult(a, b)) = mult(b, mult(mult(a, b), mult(mult(a, c), a))))) | (~(mult(mult(mult(mult(b, a), mult(a, c)), a), b) = mult(mult(mult(b, a), mult(a, c)), mult(b, a)))) | (~(mult(mult(a, mult(a, c)), mult(a, b)) = mult(a, mult(mult(a, c), mult(a, b))))) | (~(mult(mult(a, mult(a, c)), b) = mult(a, mult(mult(a, c), b)))) | (~(mult(mult(mult(a, a), c), b) = mult(mult(a, a), mult(c, b)))) | (~(mult(mult(a, c), mult(a, b)) = mult(a, mult(c, mult(a, b))))) | (~(mult(mult(mult(b, a), b), a) = mult(mult(b, a), mult(b, a)))) | (~(mult(mult(a, c), mult(mult(a, b), a)) = mult(a, mult(c, mult(mult(a, b), a))))) | (~(mult(mult(mult(a, c), mult(a, b)), a) = mult(mult(a, c), mult(mult(a, b), a)))) | (~(mult(mult(mult(a, b), a), mult(a, c)) = mult(mult(a, b), mult(mult(a, c), a)))) | (mult(mult(mult(a, c), b), a) = mult(mult(a, c), mult(a, b))) | (~(mult(mult(mult(a, c), b), a) = mult(mult(a, c), mult(b, a)))) | (mult(mult(mult(b, a), mult(a, c)), mult(b, a)) = mult(mult(b, a), mult(mult(b, a), mult(a, c))))), inference(lemma,lemma(discharge,[]))).
% 6.56/6.76 tff(16685,plain,
% 6.56/6.76 (~(mult(mult(mult(b, a), b), a) = mult(mult(b, a), mult(b, a)))),
% 6.56/6.76 inference(unit_resolution,[status(thm)],[16684, 16537, 11316, 12696, 10947, 16191, 914, 789, 988, 10726, 10783, 1533, 11017, 1226, 93, 11136])).
% 6.56/6.76 tff(16686,plain,
% 6.56/6.76 ((~(mult(mult(mult(b, a), a), b) = mult(mult(b, a), mult(a, b)))) | (~(mult(mult(mult(b, a), b), a) = mult(mult(b, a), mult(b, a))))),
% 6.56/6.76 inference(unit_resolution,[status(thm)],[10362, 16685])).
% 6.56/6.76 tff(16687,plain,
% 6.56/6.76 (~((~(mult(mult(mult(b, a), a), b) = mult(mult(b, a), mult(b, a)))) | (~(mult(mult(mult(b, a), b), a) = mult(mult(b, a), mult(a, b)))))),
% 6.56/6.76 inference(unit_resolution,[status(thm)],[4646, 16686])).
% 6.56/6.76 tff(16688,plain,
% 6.56/6.76 (((~(mult(mult(mult(b, a), a), b) = mult(mult(b, a), mult(b, a)))) | (~(mult(mult(mult(b, a), b), a) = mult(mult(b, a), mult(a, b))))) | (mult(mult(mult(b, a), b), a) = mult(mult(b, a), mult(a, b)))),
% 6.56/6.76 inference(tautology,[status(thm)],[])).
% 6.56/6.76 tff(16689,plain,
% 6.56/6.76 (mult(mult(mult(b, a), b), a) = mult(mult(b, a), mult(a, b))),
% 6.56/6.76 inference(unit_resolution,[status(thm)],[16688, 16687])).
% 6.56/6.76 tff(16690,plain,
% 6.56/6.76 (mult(mult(b, a), mult(a, b)) = mult(mult(mult(b, a), b), a)),
% 6.56/6.76 inference(symmetry,[status(thm)],[16689])).
% 6.56/6.76 tff(16691,plain,
% 6.56/6.76 (mult(mult(b, a), mult(a, b)) = mult(b, mult(mult(a, b), a))),
% 6.56/6.76 inference(transitivity,[status(thm)],[16690, 10365])).
% 6.56/6.76 tff(16692,plain,
% 6.56/6.76 (mult(mult(mult(b, a), mult(a, b)), mult(a, c)) = mult(mult(b, mult(mult(a, b), a)), mult(a, c))),
% 6.56/6.76 inference(monotonicity,[status(thm)],[16691])).
% 6.56/6.76 tff(16693,plain,
% 6.56/6.76 (mult(mult(mult(b, a), mult(a, b)), mult(a, c)) = mult(mult(mult(b, a), mult(a, c)), mult(a, b))),
% 6.56/6.76 inference(transitivity,[status(thm)],[16692, 16633, 16519, 12697, 11585])).
% 6.56/6.76 tff(16694,plain,
% 6.56/6.76 ((mult(mult(mult(b, a), mult(a, b)), mult(a, c)) = mult(mult(b, a), mult(mult(a, c), mult(a, b)))) <=> (mult(mult(mult(b, a), mult(a, c)), mult(a, b)) = mult(mult(b, a), mult(mult(a, c), mult(a, b))))),
% 6.56/6.76 inference(monotonicity,[status(thm)],[16693])).
% 6.56/6.76 tff(16695,plain,
% 6.56/6.76 ((mult(mult(mult(b, a), mult(a, c)), mult(a, b)) = mult(mult(b, a), mult(mult(a, c), mult(a, b)))) <=> (mult(mult(mult(b, a), mult(a, b)), mult(a, c)) = mult(mult(b, a), mult(mult(a, c), mult(a, b))))),
% 6.56/6.76 inference(symmetry,[status(thm)],[16694])).
% 6.56/6.76 tff(16696,plain,
% 6.56/6.76 ((mult(mult(b, mult(a, c)), mult(mult(a, b), a)) = mult(b, mult(mult(mult(a, b), a), mult(a, c)))) <=> (mult(mult(mult(b, a), mult(a, b)), mult(a, c)) = mult(mult(b, a), mult(mult(a, c), mult(a, b))))),
% 6.56/6.76 inference(transitivity,[status(thm)],[16628, 16695])).
% 6.56/6.76 tff(16697,plain,
% 6.56/6.76 ((~(mult(mult(b, mult(a, c)), mult(mult(a, b), a)) = mult(b, mult(mult(mult(a, b), a), mult(a, c))))) <=> (~(mult(mult(mult(b, a), mult(a, b)), mult(a, c)) = mult(mult(b, a), mult(mult(a, c), mult(a, b)))))),
% 6.56/6.76 inference(monotonicity,[status(thm)],[16696])).
% 6.56/6.76 tff(16698,plain,
% 6.56/6.76 (~(mult(mult(mult(b, a), mult(a, b)), mult(a, c)) = mult(mult(b, a), mult(mult(a, c), mult(a, b))))),
% 6.56/6.76 inference(modus_ponens,[status(thm)],[16527, 16697])).
% 6.56/6.76 tff(16699,plain,
% 6.56/6.76 (((~(mult(mult(mult(b, a), mult(a, b)), mult(a, c)) = mult(mult(b, a), mult(mult(a, c), mult(a, b))))) | (~(mult(mult(mult(b, a), mult(a, c)), mult(a, b)) = mult(mult(b, a), mult(mult(a, b), mult(a, c)))))) | (mult(mult(mult(b, a), mult(a, b)), mult(a, c)) = mult(mult(b, a), mult(mult(a, c), mult(a, b))))),
% 6.56/6.76 inference(tautology,[status(thm)],[])).
% 6.56/6.76 tff(16700,plain,
% 6.56/6.76 ((~(mult(mult(mult(b, a), mult(a, b)), mult(a, c)) = mult(mult(b, a), mult(mult(a, c), mult(a, b))))) | (~(mult(mult(mult(b, a), mult(a, c)), mult(a, b)) = mult(mult(b, a), mult(mult(a, b), mult(a, c)))))),
% 6.56/6.76 inference(unit_resolution,[status(thm)],[16699, 16698])).
% 6.56/6.76 tff(16701,plain,
% 6.56/6.76 ($false),
% 6.56/6.76 inference(unit_resolution,[status(thm)],[12508, 16700, 16632])).
% 6.56/6.76 tff(16702,plain,((mult(mult(b, a), mult(mult(b, a), mult(a, c))) = mult(b, mult(a, mult(mult(b, a), mult(a, c))))) | (mult(mult(b, mult(a, c)), mult(mult(a, b), a)) = mult(b, mult(mult(mult(a, b), a), mult(a, c)))) | (~(mult(mult(a, c), mult(mult(a, b), a)) = mult(a, mult(c, mult(mult(a, b), a))))) | (~(mult(mult(mult(a, c), mult(a, b)), a) = mult(mult(a, c), mult(mult(a, b), a)))) | (~(mult(mult(a, c), mult(a, b)) = mult(a, mult(c, mult(a, b))))) | (~(mult(mult(c, a), b) = mult(c, mult(a, b)))) | (~(mult(mult(b, mult(mult(a, c), a)), mult(a, b)) = mult(b, mult(mult(a, b), mult(mult(a, c), a))))) | (~(mult(mult(mult(a, b), a), mult(a, c)) = mult(mult(a, b), mult(mult(a, c), a)))) | (mult(mult(mult(a, c), b), a) = mult(mult(a, c), mult(a, b))) | (~(mult(mult(mult(mult(b, a), mult(a, c)), a), b) = mult(mult(mult(b, a), mult(a, c)), mult(b, a)))) | (~(mult(mult(a, mult(a, c)), mult(a, b)) = mult(a, mult(mult(a, c), mult(a, b))))) | (~(mult(mult(a, mult(a, c)), b) = mult(a, mult(mult(a, c), b)))) | (~(mult(mult(mult(a, a), c), b) = mult(mult(a, a), mult(c, b)))) | (~(mult(mult(mult(a, c), b), a) = mult(mult(a, c), mult(b, a)))) | (mult(mult(mult(b, a), mult(a, c)), mult(b, a)) = mult(mult(b, a), mult(mult(b, a), mult(a, c)))) | (~(mult(mult(mult(mult(b, a), mult(a, c)), b), a) = mult(mult(mult(b, a), mult(a, c)), mult(a, b)))) | (mult(mult(mult(b, mult(c, a)), a), mult(b, a)) = mult(mult(b, mult(c, a)), mult(a, mult(b, a))))), inference(lemma,lemma(discharge,[]))).
% 6.56/6.76 tff(16703,plain,
% 6.56/6.76 (mult(mult(b, a), mult(mult(b, a), mult(a, c))) = mult(b, mult(a, mult(mult(b, a), mult(a, c))))),
% 6.56/6.76 inference(unit_resolution,[status(thm)],[16702, 16525, 10783, 16087, 9004, 15733, 12051, 13459, 1226, 10947, 16518, 11028, 13491, 93, 11136, 11316, 10726])).
% 6.56/6.76 tff(16704,plain,
% 6.56/6.76 (mult(b, mult(a, mult(mult(b, a), mult(a, c)))) = mult(mult(b, a), mult(mult(b, a), mult(a, c)))),
% 6.56/6.76 inference(symmetry,[status(thm)],[16703])).
% 6.56/6.76 tff(16705,plain,
% 6.56/6.76 (~(mult(mult(mult(mult(a, a), c), b), a) = mult(mult(mult(a, a), c), mult(a, b)))),
% 6.56/6.76 inference(unit_resolution,[status(thm)],[16582, 1226, 16518, 13491, 11028])).
% 6.56/6.76 tff(16706,plain,
% 6.56/6.76 ((~(mult(mult(mult(mult(a, a), c), a), b) = mult(mult(mult(a, a), c), mult(b, a)))) | (~(mult(mult(mult(mult(a, a), c), b), a) = mult(mult(mult(a, a), c), mult(a, b))))),
% 6.56/6.76 inference(unit_resolution,[status(thm)],[16584, 16705])).
% 6.56/6.76 tff(16707,plain,
% 6.56/6.76 (~((~(mult(mult(mult(mult(a, a), c), a), b) = mult(mult(mult(a, a), c), mult(a, b)))) | (~(mult(mult(mult(mult(a, a), c), b), a) = mult(mult(mult(a, a), c), mult(b, a)))))),
% 6.56/6.76 inference(unit_resolution,[status(thm)],[16592, 16706])).
% 6.56/6.76 tff(16708,plain,
% 6.56/6.76 (mult(mult(mult(mult(a, a), c), b), a) = mult(mult(mult(a, a), c), mult(b, a))),
% 6.56/6.76 inference(unit_resolution,[status(thm)],[16636, 16707])).
% 6.56/6.76 tff(16709,plain,
% 6.56/6.76 (mult(mult(a, mult(b, a)), mult(a, c)) = mult(a, mult(mult(b, a), mult(a, c)))),
% 6.56/6.76 inference(unit_resolution,[status(thm)],[16651, 16708, 93, 13491, 11028])).
% 6.56/6.76 tff(16710,plain,
% 6.56/6.76 (mult(a, mult(mult(b, a), mult(a, c))) = mult(mult(a, mult(b, a)), mult(a, c))),
% 6.56/6.76 inference(symmetry,[status(thm)],[16709])).
% 6.56/6.76 tff(16711,plain,
% 6.56/6.76 (mult(a, mult(mult(b, a), mult(a, c))) = mult(mult(mult(a, b), a), mult(a, c))),
% 6.56/6.76 inference(transitivity,[status(thm)],[16710, 11305])).
% 6.56/6.76 tff(16712,plain,
% 6.56/6.76 (mult(b, mult(a, mult(mult(b, a), mult(a, c)))) = mult(b, mult(mult(mult(a, b), a), mult(a, c)))),
% 6.56/6.76 inference(monotonicity,[status(thm)],[16711])).
% 6.56/6.76 tff(16713,plain,
% 6.56/6.76 (mult(b, mult(mult(mult(a, b), a), mult(a, c))) = mult(b, mult(a, mult(mult(b, a), mult(a, c))))),
% 6.56/6.76 inference(symmetry,[status(thm)],[16712])).
% 6.56/6.76 tff(16714,plain,
% 6.56/6.76 (mult(b, mult(mult(mult(a, b), a), mult(a, c))) = mult(b, mult(mult(a, b), mult(mult(a, c), a)))),
% 6.56/6.76 inference(monotonicity,[status(thm)],[13459])).
% 6.56/6.76 tff(16715,plain,
% 6.56/6.76 (mult(b, mult(mult(a, b), mult(mult(a, c), a))) = mult(b, mult(mult(mult(a, b), a), mult(a, c)))),
% 6.56/6.76 inference(symmetry,[status(thm)],[16714])).
% 6.56/6.76 tff(16716,plain,
% 6.56/6.76 (mult(mult(b, mult(a, b)), mult(mult(a, c), a)) = mult(b, mult(mult(mult(a, c), a), mult(a, b)))),
% 6.56/6.76 inference(unit_resolution,[status(thm)],[11618, 12050])).
% 6.56/6.76 tff(16717,plain,
% 6.56/6.76 ((mult(b, mult(mult(a, b), a)) = mult(mult(b, a), mult(a, b))) <=> (mult(mult(b, a), mult(a, b)) = mult(b, mult(mult(a, b), a)))),
% 6.56/6.76 inference(commutativity,[status(thm)],[])).
% 6.56/6.76 tff(16718,plain,
% 6.56/6.76 ((mult(mult(mult(b, a), b), a) = mult(mult(b, a), mult(a, b))) <=> (mult(b, mult(mult(a, b), a)) = mult(mult(b, a), mult(a, b)))),
% 6.56/6.76 inference(monotonicity,[status(thm)],[10365])).
% 6.56/6.76 tff(16719,plain,
% 6.56/6.76 ((mult(mult(mult(b, a), b), a) = mult(mult(b, a), mult(a, b))) <=> (mult(mult(b, a), mult(a, b)) = mult(b, mult(mult(a, b), a)))),
% 6.56/6.76 inference(transitivity,[status(thm)],[16718, 16717])).
% 6.56/6.76 tff(16720,plain,
% 6.56/6.76 ((~(mult(mult(mult(b, a), b), a) = mult(mult(b, a), mult(a, b)))) <=> (~(mult(mult(b, a), mult(a, b)) = mult(b, mult(mult(a, b), a))))),
% 6.56/6.76 inference(monotonicity,[status(thm)],[16719])).
% 6.56/6.76 tff(16721,plain,
% 6.56/6.76 ((~(mult(mult(b, mult(mult(a, b), a)), mult(a, c)) = mult(b, mult(mult(a, c), mult(mult(a, b), a))))) | (~(mult(mult(b, mult(a, c)), mult(mult(a, b), a)) = mult(b, mult(mult(mult(a, b), a), mult(a, c)))))),
% 6.56/6.76 inference(unit_resolution,[status(thm)],[13212, 16525])).
% 6.56/6.77 tff(16722,plain,
% 6.56/6.77 (~((~(mult(mult(b, mult(mult(a, b), a)), mult(a, c)) = mult(b, mult(mult(mult(a, b), a), mult(a, c))))) | (~(mult(mult(b, mult(a, c)), mult(mult(a, b), a)) = mult(b, mult(mult(a, c), mult(mult(a, b), a))))))),
% 6.56/6.77 inference(unit_resolution,[status(thm)],[13217, 16721])).
% 6.56/6.77 tff(16723,plain,
% 6.56/6.77 (mult(mult(b, mult(mult(a, b), a)), mult(a, c)) = mult(b, mult(mult(mult(a, b), a), mult(a, c)))),
% 6.56/6.77 inference(unit_resolution,[status(thm)],[13219, 16722])).
% 6.56/6.77 tff(16724,plain,
% 6.56/6.77 ((~![B: $i, A: $i] : (ld(A, mult(A, B)) = B)) | (ld(mult(b, a), mult(mult(b, a), mult(b, a))) = mult(b, a))),
% 6.56/6.77 inference(quant_inst,[status(thm)],[])).
% 6.56/6.77 tff(16725,plain,
% 6.56/6.77 (ld(mult(b, a), mult(mult(b, a), mult(b, a))) = mult(b, a)),
% 6.56/6.77 inference(unit_resolution,[status(thm)],[16724, 9])).
% 6.56/6.77 tff(16726,plain,
% 6.56/6.77 ((~![B: $i, A: $i] : (rd(mult(A, B), B) = A)) | (rd(mult(mult(mult(b, a), mult(b, a)), mult(a, c)), mult(a, c)) = mult(mult(b, a), mult(b, a)))),
% 6.56/6.77 inference(quant_inst,[status(thm)],[])).
% 6.56/6.77 tff(16727,plain,
% 6.56/6.77 (rd(mult(mult(mult(b, a), mult(b, a)), mult(a, c)), mult(a, c)) = mult(mult(b, a), mult(b, a))),
% 6.56/6.77 inference(unit_resolution,[status(thm)],[16726, 72])).
% 6.56/6.77 tff(16728,assumption,(mult(mult(b, a), mult(mult(b, a), mult(a, c))) = mult(b, mult(a, mult(mult(b, a), mult(a, c))))), introduced(assumption)).
% 6.56/6.77 tff(16729,plain,
% 6.56/6.77 (mult(mult(mult(b, a), mult(b, a)), mult(a, c)) = mult(mult(b, mult(mult(a, b), a)), mult(a, c))),
% 6.56/6.77 inference(transitivity,[status(thm)],[13562, 16728, 16654, 13229])).
% 6.56/6.77 tff(16730,plain,
% 6.56/6.77 (rd(mult(mult(mult(b, a), mult(b, a)), mult(a, c)), mult(a, c)) = rd(mult(mult(b, mult(mult(a, b), a)), mult(a, c)), mult(a, c))),
% 6.56/6.77 inference(monotonicity,[status(thm)],[16729])).
% 6.56/6.77 tff(16731,plain,
% 6.56/6.77 (rd(mult(mult(b, mult(mult(a, b), a)), mult(a, c)), mult(a, c)) = rd(mult(mult(mult(b, a), mult(b, a)), mult(a, c)), mult(a, c))),
% 6.56/6.77 inference(symmetry,[status(thm)],[16730])).
% 6.56/6.77 tff(16732,plain,
% 6.56/6.77 ((~![B: $i, A: $i] : (rd(mult(A, B), B) = A)) | (rd(mult(mult(b, mult(mult(a, b), a)), mult(a, c)), mult(a, c)) = mult(b, mult(mult(a, b), a)))),
% 6.56/6.77 inference(quant_inst,[status(thm)],[])).
% 6.56/6.77 tff(16733,plain,
% 6.56/6.77 (rd(mult(mult(b, mult(mult(a, b), a)), mult(a, c)), mult(a, c)) = mult(b, mult(mult(a, b), a))),
% 6.56/6.77 inference(unit_resolution,[status(thm)],[16732, 72])).
% 6.56/6.77 tff(16734,plain,
% 6.56/6.77 (mult(b, mult(mult(a, b), a)) = rd(mult(mult(b, mult(mult(a, b), a)), mult(a, c)), mult(a, c))),
% 6.56/6.77 inference(symmetry,[status(thm)],[16733])).
% 6.56/6.77 tff(16735,assumption,(mult(mult(mult(b, a), b), a) = mult(mult(b, a), mult(a, b))), introduced(assumption)).
% 6.56/6.77 tff(16736,plain,
% 6.56/6.77 (mult(mult(b, a), mult(a, b)) = mult(mult(mult(b, a), b), a)),
% 6.56/6.77 inference(symmetry,[status(thm)],[16735])).
% 6.56/6.77 tff(16737,plain,
% 6.56/6.77 (mult(mult(b, a), mult(a, b)) = mult(mult(b, a), mult(b, a))),
% 6.56/6.77 inference(transitivity,[status(thm)],[16736, 10365, 16734, 16731, 16727])).
% 6.56/6.77 tff(16738,plain,
% 6.56/6.77 (ld(mult(b, a), mult(mult(b, a), mult(a, b))) = ld(mult(b, a), mult(mult(b, a), mult(b, a)))),
% 6.56/6.77 inference(monotonicity,[status(thm)],[16737])).
% 6.56/6.77 tff(16739,plain,
% 6.56/6.77 ((~![B: $i, A: $i] : (ld(A, mult(A, B)) = B)) | (ld(mult(b, a), mult(mult(b, a), mult(a, b))) = mult(a, b))),
% 6.56/6.77 inference(quant_inst,[status(thm)],[])).
% 6.56/6.77 tff(16740,plain,
% 6.56/6.77 (ld(mult(b, a), mult(mult(b, a), mult(a, b))) = mult(a, b)),
% 6.56/6.77 inference(unit_resolution,[status(thm)],[16739, 9])).
% 6.56/6.77 tff(16741,plain,
% 6.56/6.77 (mult(a, b) = ld(mult(b, a), mult(mult(b, a), mult(a, b)))),
% 6.56/6.77 inference(symmetry,[status(thm)],[16740])).
% 6.56/6.77 tff(16742,plain,
% 6.56/6.77 (mult(a, b) = mult(b, a)),
% 6.56/6.77 inference(transitivity,[status(thm)],[16741, 16738, 16725])).
% 6.56/6.77 tff(16743,plain,
% 6.56/6.77 ($false),
% 6.56/6.77 inference(unit_resolution,[status(thm)],[1, 16742])).
% 6.56/6.77 tff(16744,plain,((~(mult(mult(mult(b, a), b), a) = mult(mult(b, a), mult(a, b)))) | (mult(a, b) = mult(b, a)) | (~(mult(mult(mult(b, a), mult(b, a)), mult(a, c)) = mult(mult(b, a), mult(mult(b, a), mult(a, c))))) | (~(mult(mult(b, a), mult(mult(b, a), mult(a, c))) = mult(b, mult(a, mult(mult(b, a), mult(a, c)))))) | (~(mult(mult(b, mult(mult(a, b), a)), mult(a, c)) = mult(b, mult(mult(mult(a, b), a), mult(a, c))))) | (~(mult(mult(a, mult(b, a)), mult(a, c)) = mult(a, mult(mult(b, a), mult(a, c)))))), inference(lemma,lemma(discharge,[]))).
% 6.56/6.77 tff(16745,plain,
% 6.56/6.77 (~(mult(mult(mult(b, a), b), a) = mult(mult(b, a), mult(a, b)))),
% 6.56/6.77 inference(unit_resolution,[status(thm)],[16744, 16703, 11176, 1, 16723, 16709])).
% 6.56/6.77 tff(16746,plain,
% 6.56/6.77 (~(mult(mult(b, a), mult(a, b)) = mult(b, mult(mult(a, b), a)))),
% 6.56/6.77 inference(modus_ponens,[status(thm)],[16745, 16720])).
% 6.56/6.77 tff(16747,plain,
% 6.56/6.77 ((~(mult(mult(b, a), mult(a, b)) = mult(b, mult(mult(a, b), a)))) | (~(mult(mult(b, mult(a, b)), a) = mult(b, mult(a, mult(a, b)))))),
% 6.56/6.77 inference(unit_resolution,[status(thm)],[10680, 16746])).
% 6.56/6.77 tff(16748,plain,
% 6.56/6.77 (~((~(mult(mult(b, a), mult(a, b)) = mult(b, mult(a, mult(a, b))))) | (~(mult(mult(b, mult(a, b)), a) = mult(b, mult(mult(a, b), a)))))),
% 6.56/6.77 inference(unit_resolution,[status(thm)],[10685, 16747])).
% 6.56/6.77 tff(16749,plain,
% 6.56/6.77 (mult(mult(b, mult(a, b)), a) = mult(b, mult(mult(a, b), a))),
% 6.56/6.77 inference(unit_resolution,[status(thm)],[10687, 16748])).
% 6.56/6.77 tff(16750,plain,
% 6.56/6.77 (mult(mult(b, mult(a, b)), a) = mult(mult(mult(b, a), b), a)),
% 6.56/6.77 inference(transitivity,[status(thm)],[16749, 10366])).
% 6.56/6.77 tff(16751,plain,
% 6.56/6.77 (rd(mult(mult(b, mult(a, b)), a), a) = rd(mult(mult(mult(b, a), b), a), a)),
% 6.56/6.77 inference(monotonicity,[status(thm)],[16750])).
% 6.56/6.77 tff(16752,plain,
% 6.56/6.77 (rd(mult(mult(mult(b, a), b), a), a) = rd(mult(mult(b, mult(a, b)), a), a)),
% 6.56/6.77 inference(symmetry,[status(thm)],[16751])).
% 6.56/6.77 tff(16753,plain,
% 6.56/6.77 (mult(mult(b, a), b) = mult(b, mult(a, b))),
% 6.56/6.77 inference(transitivity,[status(thm)],[11621, 16752, 11462])).
% 6.56/6.77 tff(16754,plain,
% 6.56/6.77 (mult(mult(mult(b, a), b), mult(mult(a, c), a)) = mult(mult(b, mult(a, b)), mult(mult(a, c), a))),
% 6.56/6.77 inference(monotonicity,[status(thm)],[16753])).
% 6.56/6.77 tff(16755,plain,
% 6.56/6.77 ((mult(mult(mult(b, a), b), mult(mult(a, c), a)) = mult(mult(mult(mult(b, a), b), a), mult(a, c))) <=> (mult(mult(mult(mult(b, a), b), a), mult(a, c)) = mult(mult(mult(b, a), b), mult(mult(a, c), a)))),
% 6.56/6.77 inference(commutativity,[status(thm)],[])).
% 6.56/6.77 tff(16756,plain,
% 6.56/6.77 (mult(mult(mult(mult(b, a), b), a), mult(a, c)) = mult(mult(b, mult(mult(a, b), a)), mult(a, c))),
% 6.56/6.77 inference(monotonicity,[status(thm)],[10365])).
% 6.56/6.77 tff(16757,plain,
% 6.56/6.77 (mult(mult(b, mult(mult(a, b), a)), mult(a, c)) = mult(mult(mult(mult(b, a), b), a), mult(a, c))),
% 6.56/6.77 inference(symmetry,[status(thm)],[16756])).
% 6.56/6.77 tff(16758,plain,
% 6.56/6.77 (mult(b, mult(mult(mult(a, b), a), mult(a, c))) = mult(mult(b, mult(mult(a, b), a)), mult(a, c))),
% 6.56/6.77 inference(symmetry,[status(thm)],[16723])).
% 6.56/6.77 tff(16759,plain,
% 6.56/6.77 (mult(mult(b, a), mult(b, mult(mult(a, c), a))) = mult(mult(mult(mult(b, a), b), a), mult(a, c))),
% 6.56/6.77 inference(transitivity,[status(thm)],[12203, 16703, 16712, 16758, 16757])).
% 6.56/6.77 tff(16760,plain,
% 6.56/6.77 ((mult(mult(mult(b, a), b), mult(mult(a, c), a)) = mult(mult(b, a), mult(b, mult(mult(a, c), a)))) <=> (mult(mult(mult(b, a), b), mult(mult(a, c), a)) = mult(mult(mult(mult(b, a), b), a), mult(a, c)))),
% 6.56/6.77 inference(monotonicity,[status(thm)],[16759])).
% 6.56/6.77 tff(16761,plain,
% 6.56/6.77 ((mult(mult(mult(b, a), b), mult(mult(a, c), a)) = mult(mult(b, a), mult(b, mult(mult(a, c), a)))) <=> (mult(mult(mult(mult(b, a), b), a), mult(a, c)) = mult(mult(mult(b, a), b), mult(mult(a, c), a)))),
% 6.56/6.77 inference(transitivity,[status(thm)],[16760, 16755])).
% 6.56/6.77 tff(16762,plain,
% 6.56/6.77 ((mult(mult(mult(mult(b, a), b), a), mult(a, c)) = mult(mult(mult(b, a), b), mult(mult(a, c), a))) <=> (mult(mult(mult(b, a), b), mult(mult(a, c), a)) = mult(mult(b, a), mult(b, mult(mult(a, c), a))))),
% 6.56/6.77 inference(symmetry,[status(thm)],[16761])).
% 6.56/6.77 tff(16763,plain,
% 6.56/6.77 (mult(mult(mult(b, a), b), mult(mult(a, c), a)) = mult(b, mult(mult(mult(a, c), a), mult(a, b)))),
% 6.56/6.77 inference(transitivity,[status(thm)],[16754, 16716])).
% 6.56/6.77 tff(16764,plain,
% 6.56/6.77 (mult(mult(mult(mult(b, a), b), a), mult(a, c)) = mult(mult(b, mult(mult(a, c), a)), mult(a, b))),
% 6.56/6.77 inference(transitivity,[status(thm)],[16756, 16723, 16714, 15543])).
% 6.56/6.77 tff(16765,plain,
% 6.56/6.77 ((mult(mult(mult(mult(b, a), b), a), mult(a, c)) = mult(mult(mult(b, a), b), mult(mult(a, c), a))) <=> (mult(mult(b, mult(mult(a, c), a)), mult(a, b)) = mult(b, mult(mult(mult(a, c), a), mult(a, b))))),
% 6.56/6.77 inference(monotonicity,[status(thm)],[16764, 16763])).
% 6.56/6.77 tff(16766,plain,
% 6.56/6.77 ((mult(mult(b, mult(mult(a, c), a)), mult(a, b)) = mult(b, mult(mult(mult(a, c), a), mult(a, b)))) <=> (mult(mult(mult(mult(b, a), b), a), mult(a, c)) = mult(mult(mult(b, a), b), mult(mult(a, c), a)))),
% 6.56/6.77 inference(symmetry,[status(thm)],[16765])).
% 6.56/6.77 tff(16767,plain,
% 6.56/6.77 ((mult(mult(b, mult(mult(a, c), a)), mult(a, b)) = mult(b, mult(mult(mult(a, c), a), mult(a, b)))) <=> (mult(mult(mult(b, a), b), mult(mult(a, c), a)) = mult(mult(b, a), mult(b, mult(mult(a, c), a))))),
% 6.56/6.77 inference(transitivity,[status(thm)],[16766, 16762])).
% 6.56/6.77 tff(16768,plain,
% 6.56/6.77 ((~(mult(mult(b, mult(mult(a, c), a)), mult(a, b)) = mult(b, mult(mult(mult(a, c), a), mult(a, b))))) <=> (~(mult(mult(mult(b, a), b), mult(mult(a, c), a)) = mult(mult(b, a), mult(b, mult(mult(a, c), a)))))),
% 6.56/6.77 inference(monotonicity,[status(thm)],[16767])).
% 6.56/6.77 tff(16769,plain,
% 6.56/6.77 (~(mult(mult(mult(b, a), b), mult(mult(a, c), a)) = mult(mult(b, a), mult(b, mult(mult(a, c), a))))),
% 6.56/6.77 inference(modus_ponens,[status(thm)],[12048, 16768])).
% 6.56/6.77 tff(16770,plain,
% 6.56/6.77 ((~(mult(mult(mult(b, a), b), mult(mult(a, c), a)) = mult(mult(b, a), mult(b, mult(mult(a, c), a))))) | (~(mult(mult(mult(b, a), mult(mult(a, c), a)), b) = mult(mult(b, a), mult(mult(mult(a, c), a), b))))),
% 6.56/6.77 inference(unit_resolution,[status(thm)],[11642, 16769])).
% 6.56/6.77 tff(16771,plain,
% 6.56/6.77 (~((~(mult(mult(mult(b, a), b), mult(mult(a, c), a)) = mult(mult(b, a), mult(mult(mult(a, c), a), b)))) | (~(mult(mult(mult(b, a), mult(mult(a, c), a)), b) = mult(mult(b, a), mult(b, mult(mult(a, c), a))))))),
% 6.56/6.77 inference(unit_resolution,[status(thm)],[11640, 16770])).
% 6.56/6.77 tff(16772,plain,
% 6.56/6.77 (mult(mult(mult(b, a), b), mult(mult(a, c), a)) = mult(mult(b, a), mult(mult(mult(a, c), a), b))),
% 6.56/6.77 inference(unit_resolution,[status(thm)],[11632, 16771])).
% 6.56/6.77 tff(16773,plain,
% 6.56/6.77 (mult(mult(b, a), mult(mult(mult(a, c), a), b)) = mult(mult(mult(b, a), b), mult(mult(a, c), a))),
% 6.56/6.77 inference(symmetry,[status(thm)],[16772])).
% 6.56/6.77 tff(16774,plain,
% 6.56/6.77 (mult(a, mult(mult(c, a), b)) = mult(mult(mult(a, c), a), b)),
% 6.56/6.77 inference(transitivity,[status(thm)],[16047, 13260, 8249])).
% 6.56/6.77 tff(16775,plain,
% 6.56/6.77 (mult(mult(b, a), mult(a, mult(mult(c, a), b))) = mult(mult(b, a), mult(mult(mult(a, c), a), b))),
% 6.56/6.77 inference(monotonicity,[status(thm)],[16774])).
% 6.56/6.77 tff(16776,plain,
% 6.56/6.77 (mult(mult(a, c), mult(a, b)) = mult(a, mult(mult(c, a), b))),
% 6.56/6.77 inference(transitivity,[status(thm)],[9004, 16048])).
% 6.56/6.77 tff(16777,plain,
% 6.56/6.77 (mult(mult(b, a), mult(mult(a, c), mult(a, b))) = mult(mult(b, a), mult(a, mult(mult(c, a), b)))),
% 6.56/6.77 inference(monotonicity,[status(thm)],[16776])).
% 6.56/6.77 tff(16778,plain,
% 6.56/6.77 (mult(mult(b, a), mult(mult(a, c), mult(a, b))) = mult(b, mult(mult(mult(a, c), a), mult(a, b)))),
% 6.56/6.77 inference(transitivity,[status(thm)],[16777, 16775, 16773, 16754, 16716])).
% 6.56/6.77 tff(16779,plain,
% 6.56/6.77 ((mult(mult(mult(b, a), mult(a, c)), mult(a, b)) = mult(mult(b, a), mult(mult(a, c), mult(a, b)))) <=> (mult(mult(b, mult(mult(a, c), a)), mult(a, b)) = mult(b, mult(mult(mult(a, c), a), mult(a, b))))),
% 6.56/6.77 inference(monotonicity,[status(thm)],[11595, 16778])).
% 6.56/6.77 tff(16780,plain,
% 6.56/6.77 ((mult(mult(b, mult(mult(a, c), a)), mult(a, b)) = mult(b, mult(mult(mult(a, c), a), mult(a, b)))) <=> (mult(mult(mult(b, a), mult(a, c)), mult(a, b)) = mult(mult(b, a), mult(mult(a, c), mult(a, b))))),
% 6.56/6.77 inference(symmetry,[status(thm)],[16779])).
% 6.56/6.77 tff(16781,plain,
% 6.56/6.77 ((~(mult(mult(b, mult(mult(a, c), a)), mult(a, b)) = mult(b, mult(mult(mult(a, c), a), mult(a, b))))) <=> (~(mult(mult(mult(b, a), mult(a, c)), mult(a, b)) = mult(mult(b, a), mult(mult(a, c), mult(a, b)))))),
% 6.56/6.77 inference(monotonicity,[status(thm)],[16780])).
% 6.56/6.77 tff(16782,plain,
% 6.56/6.77 (~(mult(mult(mult(b, a), mult(a, c)), mult(a, b)) = mult(mult(b, a), mult(mult(a, c), mult(a, b))))),
% 6.56/6.77 inference(modus_ponens,[status(thm)],[12048, 16781])).
% 6.56/6.77 tff(16783,plain,
% 6.56/6.77 ((~(mult(mult(mult(b, a), mult(a, b)), mult(a, c)) = mult(mult(b, a), mult(mult(a, b), mult(a, c))))) | (~(mult(mult(mult(b, a), mult(a, c)), mult(a, b)) = mult(mult(b, a), mult(mult(a, c), mult(a, b)))))),
% 6.56/6.77 inference(unit_resolution,[status(thm)],[16631, 16782])).
% 6.56/6.77 tff(16784,plain,
% 6.56/6.77 (~((~(mult(mult(mult(b, a), mult(a, b)), mult(a, c)) = mult(mult(b, a), mult(mult(a, c), mult(a, b))))) | (~(mult(mult(mult(b, a), mult(a, c)), mult(a, b)) = mult(mult(b, a), mult(mult(a, b), mult(a, c))))))),
% 6.56/6.77 inference(unit_resolution,[status(thm)],[12508, 16783])).
% 6.56/6.77 tff(16785,plain,
% 6.56/6.77 (mult(mult(mult(b, a), mult(a, c)), mult(a, b)) = mult(mult(b, a), mult(mult(a, b), mult(a, c)))),
% 6.56/6.77 inference(unit_resolution,[status(thm)],[12503, 16784])).
% 6.56/6.77 tff(16786,plain,
% 6.56/6.77 (mult(mult(b, a), mult(mult(a, b), mult(a, c))) = mult(mult(mult(b, a), mult(a, c)), mult(a, b))),
% 6.56/6.77 inference(symmetry,[status(thm)],[16785])).
% 6.56/6.77 tff(16787,plain,
% 6.56/6.77 (mult(mult(b, a), mult(mult(mult(a, b), c), a)) = mult(mult(b, a), mult(mult(b, a), mult(a, c)))),
% 6.56/6.77 inference(transitivity,[status(thm)],[12766, 16786, 11595, 12051, 16715, 16713, 16704])).
% 6.56/6.77 tff(16788,plain,
% 6.56/6.77 (ld(mult(b, a), mult(mult(b, a), mult(mult(mult(a, b), c), a))) = ld(mult(b, a), mult(mult(b, a), mult(mult(b, a), mult(a, c))))),
% 6.56/6.77 inference(monotonicity,[status(thm)],[16787])).
% 6.56/6.77 tff(16789,plain,
% 6.56/6.77 (mult(mult(a, b), mult(a, c)) = mult(mult(b, a), mult(a, c))),
% 6.56/6.77 inference(transitivity,[status(thm)],[403, 12949, 16788, 11251])).
% 6.56/6.77 tff(16790,plain,
% 6.56/6.77 (rd(mult(mult(a, b), mult(a, c)), mult(a, c)) = rd(mult(mult(b, a), mult(a, c)), mult(a, c))),
% 6.56/6.77 inference(monotonicity,[status(thm)],[16789])).
% 6.56/6.77 tff(16791,plain,
% 6.56/6.77 (mult(a, b) = mult(b, a)),
% 6.56/6.77 inference(transitivity,[status(thm)],[11004, 16790, 10979])).
% 6.56/6.77 tff(16792,plain,
% 6.56/6.77 ($false),
% 6.56/6.77 inference(unit_resolution,[status(thm)],[1, 16791])).
% 6.56/6.77 tff(16793,plain,((mult(mult(b, mult(mult(a, c), a)), mult(a, b)) = mult(b, mult(mult(mult(a, c), a), mult(a, b)))) | (mult(a, b) = mult(b, a)) | (~(mult(mult(mult(a, b), c), a) = mult(mult(a, b), mult(a, c)))) | (~(mult(mult(mult(a, c), a), b) = mult(mult(a, c), mult(a, b)))) | (~(mult(mult(a, c), mult(mult(a, b), a)) = mult(a, mult(c, mult(mult(a, b), a))))) | (mult(mult(mult(a, c), b), a) = mult(mult(a, c), mult(a, b))) | (~(mult(mult(mult(mult(b, a), mult(a, c)), a), b) = mult(mult(mult(b, a), mult(a, c)), mult(b, a)))) | (~(mult(mult(mult(a, c), b), a) = mult(mult(a, c), mult(b, a)))) | (mult(mult(mult(b, a), mult(a, c)), mult(b, a)) = mult(mult(b, a), mult(mult(b, a), mult(a, c)))) | (~(mult(mult(mult(mult(b, a), mult(a, c)), b), a) = mult(mult(mult(b, a), mult(a, c)), mult(a, b)))) | (mult(mult(mult(b, mult(c, a)), a), mult(b, a)) = mult(mult(b, mult(c, a)), mult(a, mult(b, a))))), inference(lemma,lemma(discharge,[]))).
% 6.56/6.77 tff(16794,plain,
% 6.56/6.77 (mult(mult(b, mult(mult(a, c), a)), mult(a, b)) = mult(b, mult(mult(mult(a, c), a), mult(a, b)))),
% 6.56/6.77 inference(unit_resolution,[status(thm)],[16793, 16406, 16042, 15801, 16336, 16052, 1, 15794, 10947, 11316, 10726])).
% 6.56/6.77 tff(16795,plain,
% 6.56/6.77 ((~![B: $i, A: $i] : (ld(A, mult(A, B)) = B)) | (ld(mult(mult(a, c), a), mult(mult(mult(a, c), a), mult(b, a))) = mult(b, a))),
% 6.56/6.77 inference(quant_inst,[status(thm)],[])).
% 6.56/6.77 tff(16796,plain,
% 6.56/6.77 (ld(mult(mult(a, c), a), mult(mult(mult(a, c), a), mult(b, a))) = mult(b, a)),
% 6.56/6.77 inference(unit_resolution,[status(thm)],[16795, 9])).
% 6.56/6.77 tff(16797,plain,
% 6.56/6.77 ((~![B: $i, A: $i] : (rd(mult(A, B), B) = A)) | (rd(mult(mult(mult(a, c), mult(a, b)), a), a) = mult(mult(a, c), mult(a, b)))),
% 6.56/6.77 inference(quant_inst,[status(thm)],[])).
% 6.56/6.77 tff(16798,plain,
% 6.56/6.77 (rd(mult(mult(mult(a, c), mult(a, b)), a), a) = mult(mult(a, c), mult(a, b))),
% 6.56/6.77 inference(unit_resolution,[status(thm)],[16797, 72])).
% 6.56/6.77 tff(16799,plain,
% 6.56/6.77 (mult(mult(a, mult(c, b)), a) = mult(mult(a, c), mult(b, a))),
% 6.56/6.77 inference(transitivity,[status(thm)],[2244, 4685])).
% 6.56/6.77 tff(16800,plain,
% 6.56/6.77 (mult(mult(mult(a, mult(c, b)), a), a) = mult(mult(mult(a, c), mult(b, a)), a)),
% 6.56/6.77 inference(monotonicity,[status(thm)],[16799])).
% 6.56/6.77 tff(16801,plain,
% 6.56/6.77 (mult(mult(mult(a, c), mult(b, a)), a) = mult(mult(mult(a, mult(c, b)), a), a)),
% 6.56/6.77 inference(symmetry,[status(thm)],[16800])).
% 6.56/6.78 tff(16802,plain,
% 6.56/6.78 (mult(mult(mult(a, c), mult(a, b)), a) = mult(mult(a, c), mult(mult(a, b), a))),
% 6.56/6.78 inference(unit_resolution,[status(thm)],[16086, 2236])).
% 6.56/6.78 tff(16803,plain,
% 6.56/6.78 (mult(mult(mult(a, c), mult(a, b)), a) = mult(mult(mult(a, mult(c, b)), a), a)),
% 6.56/6.78 inference(transitivity,[status(thm)],[16802, 10732, 10826, 16801])).
% 6.56/6.78 tff(16804,plain,
% 6.56/6.78 (rd(mult(mult(mult(a, c), mult(a, b)), a), a) = rd(mult(mult(mult(a, mult(c, b)), a), a), a)),
% 6.56/6.78 inference(monotonicity,[status(thm)],[16803])).
% 6.56/6.78 tff(16805,plain,
% 6.56/6.78 (rd(mult(mult(mult(a, mult(c, b)), a), a), a) = rd(mult(mult(mult(a, c), mult(a, b)), a), a)),
% 6.56/6.78 inference(symmetry,[status(thm)],[16804])).
% 6.56/6.78 tff(16806,plain,
% 6.56/6.78 (mult(mult(a, mult(c, b)), a) = rd(mult(mult(mult(a, mult(c, b)), a), a), a)),
% 6.56/6.78 inference(symmetry,[status(thm)],[4721])).
% 6.56/6.78 tff(16807,plain,
% 6.56/6.78 (mult(mult(mult(a, c), b), a) = mult(mult(a, c), mult(a, b))),
% 6.56/6.78 inference(transitivity,[status(thm)],[958, 16806, 16805, 16798])).
% 6.56/6.78 tff(16808,plain,
% 6.56/6.78 ($false),
% 6.56/6.78 inference(unit_resolution,[status(thm)],[1226, 16807])).
% 6.56/6.78 tff(16809,plain,((~(mult(mult(mult(a, c), mult(b, a)), a) = mult(mult(a, c), mult(a, mult(b, a))))) | (mult(mult(mult(a, c), b), a) = mult(mult(a, c), mult(a, b))) | (~(mult(mult(a, c), b) = mult(a, mult(c, b))))), inference(lemma,lemma(discharge,[]))).
% 6.56/6.78 tff(16810,plain,
% 6.56/6.78 ((~(mult(mult(mult(a, c), mult(b, a)), a) = mult(mult(a, c), mult(a, mult(b, a))))) | (mult(mult(mult(a, c), b), a) = mult(mult(a, c), mult(a, b)))),
% 6.56/6.78 inference(unit_resolution,[status(thm)],[16809, 8955])).
% 6.56/6.78 tff(16811,plain,
% 6.56/6.78 (~(mult(mult(mult(a, c), mult(b, a)), a) = mult(mult(a, c), mult(a, mult(b, a))))),
% 6.56/6.78 inference(unit_resolution,[status(thm)],[16810, 16052])).
% 6.56/6.78 tff(16812,plain,
% 6.56/6.78 (((~(mult(mult(mult(a, c), a), mult(b, a)) = mult(mult(a, c), mult(mult(b, a), a)))) | (~(mult(mult(mult(a, c), mult(b, a)), a) = mult(mult(a, c), mult(a, mult(b, a)))))) | (mult(mult(mult(a, c), mult(b, a)), a) = mult(mult(a, c), mult(a, mult(b, a))))),
% 6.56/6.78 inference(tautology,[status(thm)],[])).
% 6.56/6.78 tff(16813,plain,
% 6.56/6.78 ((~(mult(mult(mult(a, c), a), mult(b, a)) = mult(mult(a, c), mult(mult(b, a), a)))) | (~(mult(mult(mult(a, c), mult(b, a)), a) = mult(mult(a, c), mult(a, mult(b, a)))))),
% 6.56/6.78 inference(unit_resolution,[status(thm)],[16812, 16811])).
% 6.56/6.78 tff(16814,plain,
% 6.56/6.78 (((~![X0: $i, X1: $i, X2: $i] : ((~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X2, X1)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X1, X2)))))) | (~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X1, X2)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X2, X1)))))))) | ((~((~(mult(mult(mult(a, c), a), mult(b, a)) = mult(mult(a, c), mult(mult(b, a), a)))) | (~(mult(mult(mult(a, c), mult(b, a)), a) = mult(mult(a, c), mult(a, mult(b, a))))))) | (~((~(mult(mult(mult(a, c), a), mult(b, a)) = mult(mult(a, c), mult(a, mult(b, a))))) | (~(mult(mult(mult(a, c), mult(b, a)), a) = mult(mult(a, c), mult(mult(b, a), a)))))))) <=> ((~![X0: $i, X1: $i, X2: $i] : ((~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X2, X1)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X1, X2)))))) | (~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X1, X2)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X2, X1)))))))) | (~((~(mult(mult(mult(a, c), a), mult(b, a)) = mult(mult(a, c), mult(mult(b, a), a)))) | (~(mult(mult(mult(a, c), mult(b, a)), a) = mult(mult(a, c), mult(a, mult(b, a))))))) | (~((~(mult(mult(mult(a, c), a), mult(b, a)) = mult(mult(a, c), mult(a, mult(b, a))))) | (~(mult(mult(mult(a, c), mult(b, a)), a) = mult(mult(a, c), mult(mult(b, a), a)))))))),
% 6.56/6.78 inference(rewrite,[status(thm)],[])).
% 6.56/6.78 tff(16815,plain,
% 6.56/6.78 ((~![X0: $i, X1: $i, X2: $i] : ((~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X2, X1)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X1, X2)))))) | (~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X1, X2)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X2, X1)))))))) | ((~((~(mult(mult(mult(a, c), a), mult(b, a)) = mult(mult(a, c), mult(mult(b, a), a)))) | (~(mult(mult(mult(a, c), mult(b, a)), a) = mult(mult(a, c), mult(a, mult(b, a))))))) | (~((~(mult(mult(mult(a, c), a), mult(b, a)) = mult(mult(a, c), mult(a, mult(b, a))))) | (~(mult(mult(mult(a, c), mult(b, a)), a) = mult(mult(a, c), mult(mult(b, a), a)))))))),
% 6.56/6.78 inference(quant_inst,[status(thm)],[])).
% 6.56/6.78 tff(16816,plain,
% 6.56/6.78 ((~![X0: $i, X1: $i, X2: $i] : ((~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X2, X1)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X1, X2)))))) | (~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X1, X2)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X2, X1)))))))) | (~((~(mult(mult(mult(a, c), a), mult(b, a)) = mult(mult(a, c), mult(mult(b, a), a)))) | (~(mult(mult(mult(a, c), mult(b, a)), a) = mult(mult(a, c), mult(a, mult(b, a))))))) | (~((~(mult(mult(mult(a, c), a), mult(b, a)) = mult(mult(a, c), mult(a, mult(b, a))))) | (~(mult(mult(mult(a, c), mult(b, a)), a) = mult(mult(a, c), mult(mult(b, a), a))))))),
% 6.56/6.78 inference(modus_ponens,[status(thm)],[16815, 16814])).
% 6.56/6.78 tff(16817,plain,
% 6.56/6.78 (~((~(mult(mult(mult(a, c), a), mult(b, a)) = mult(mult(a, c), mult(a, mult(b, a))))) | (~(mult(mult(mult(a, c), mult(b, a)), a) = mult(mult(a, c), mult(mult(b, a), a)))))),
% 6.56/6.78 inference(unit_resolution,[status(thm)],[16816, 30, 16813])).
% 6.56/6.78 tff(16818,plain,
% 6.56/6.78 (((~(mult(mult(mult(a, c), a), mult(b, a)) = mult(mult(a, c), mult(a, mult(b, a))))) | (~(mult(mult(mult(a, c), mult(b, a)), a) = mult(mult(a, c), mult(mult(b, a), a))))) | (mult(mult(mult(a, c), a), mult(b, a)) = mult(mult(a, c), mult(a, mult(b, a))))),
% 6.56/6.78 inference(tautology,[status(thm)],[])).
% 6.56/6.78 tff(16819,plain,
% 6.56/6.78 (mult(mult(mult(a, c), a), mult(b, a)) = mult(mult(a, c), mult(a, mult(b, a)))),
% 6.56/6.78 inference(unit_resolution,[status(thm)],[16818, 16817])).
% 6.56/6.78 tff(16820,plain,
% 6.56/6.78 (mult(mult(a, c), mult(a, mult(b, a))) = mult(mult(mult(a, c), a), mult(b, a))),
% 6.56/6.78 inference(symmetry,[status(thm)],[16819])).
% 6.56/6.78 tff(16821,plain,
% 6.56/6.78 (mult(a, mult(c, mult(mult(a, b), a))) = mult(mult(a, c), mult(mult(a, b), a))),
% 6.56/6.78 inference(symmetry,[status(thm)],[16336])).
% 6.56/6.78 tff(16822,plain,
% 6.56/6.78 ((~![B: $i, A: $i] : (ld(A, mult(A, B)) = B)) | (ld(b, mult(b, mult(a, mult(mult(mult(c, a), b), a)))) = mult(a, mult(mult(mult(c, a), b), a)))),
% 6.56/6.78 inference(quant_inst,[status(thm)],[])).
% 6.56/6.78 tff(16823,plain,
% 6.56/6.78 (ld(b, mult(b, mult(a, mult(mult(mult(c, a), b), a)))) = mult(a, mult(mult(mult(c, a), b), a))),
% 6.56/6.78 inference(unit_resolution,[status(thm)],[16822, 9])).
% 6.56/6.78 tff(16824,plain,
% 6.56/6.78 (mult(b, mult(a, mult(mult(mult(c, a), b), a))) = mult(b, mult(a, mult(c, mult(mult(a, b), a))))),
% 6.56/6.78 inference(monotonicity,[status(thm)],[11036])).
% 6.56/6.78 tff(16825,plain,
% 6.56/6.78 (mult(b, mult(a, mult(c, mult(mult(a, b), a)))) = mult(b, mult(a, mult(mult(mult(c, a), b), a)))),
% 6.56/6.78 inference(symmetry,[status(thm)],[16824])).
% 6.56/6.78 tff(16826,plain,
% 6.56/6.78 (mult(a, mult(c, mult(a, b))) = mult(mult(a, c), mult(a, b))),
% 6.56/6.78 inference(symmetry,[status(thm)],[15757])).
% 6.56/6.78 tff(16827,plain,
% 6.56/6.78 (mult(mult(a, mult(c, mult(a, b))), a) = mult(mult(mult(a, c), mult(a, b)), a)),
% 6.56/6.78 inference(monotonicity,[status(thm)],[16826])).
% 6.56/6.78 tff(16828,plain,
% 6.56/6.78 (mult(mult(mult(a, c), mult(a, b)), a) = mult(mult(a, mult(c, mult(a, b))), a)),
% 6.56/6.78 inference(symmetry,[status(thm)],[16827])).
% 6.56/6.78 tff(16829,plain,
% 6.56/6.78 (mult(mult(mult(a, c), mult(a, b)), a) = mult(mult(a, c), mult(mult(a, b), a))),
% 6.56/6.78 inference(unit_resolution,[status(thm)],[16086, 16042])).
% 6.56/6.78 tff(16830,plain,
% 6.56/6.78 (mult(mult(a, c), mult(mult(a, b), a)) = mult(mult(mult(a, c), mult(a, b)), a)),
% 6.56/6.78 inference(symmetry,[status(thm)],[16829])).
% 6.56/6.78 tff(16831,plain,
% 6.56/6.78 (mult(a, mult(c, mult(mult(a, b), a))) = mult(mult(a, mult(c, mult(a, b))), a)),
% 6.56/6.78 inference(transitivity,[status(thm)],[16821, 16830, 16828])).
% 6.56/6.78 tff(16832,plain,
% 6.56/6.78 (mult(b, mult(a, mult(c, mult(mult(a, b), a)))) = mult(b, mult(mult(a, mult(c, mult(a, b))), a))),
% 6.56/6.78 inference(monotonicity,[status(thm)],[16831])).
% 6.56/6.78 tff(16833,plain,
% 6.56/6.78 (mult(b, mult(mult(a, mult(c, mult(a, b))), a)) = mult(b, mult(a, mult(c, mult(mult(a, b), a))))),
% 6.56/6.78 inference(symmetry,[status(thm)],[16832])).
% 6.56/6.78 tff(16834,plain,
% 6.56/6.78 (mult(mult(a, mult(mult(c, a), b)), a) = mult(mult(a, mult(c, mult(a, b))), a)),
% 6.56/6.78 inference(monotonicity,[status(thm)],[16047])).
% 6.56/6.78 tff(16835,plain,
% 6.56/6.78 (mult(mult(a, mult(c, mult(a, b))), a) = mult(mult(a, mult(mult(c, a), b)), a)),
% 6.56/6.78 inference(symmetry,[status(thm)],[16834])).
% 6.56/6.78 tff(16836,plain,
% 6.56/6.78 (mult(b, mult(mult(a, mult(c, mult(a, b))), a)) = mult(b, mult(mult(a, mult(mult(c, a), b)), a))),
% 6.56/6.78 inference(monotonicity,[status(thm)],[16835])).
% 6.56/6.78 tff(16837,plain,
% 6.56/6.78 (mult(b, mult(mult(a, mult(mult(c, a), b)), a)) = mult(b, mult(mult(a, mult(c, mult(a, b))), a))),
% 6.56/6.78 inference(symmetry,[status(thm)],[16836])).
% 6.56/6.78 tff(16838,plain,
% 6.56/6.78 (mult(mult(b, a), mult(mult(mult(c, a), b), a)) = mult(mult(mult(b, a), mult(mult(c, a), b)), a)),
% 6.56/6.78 inference(symmetry,[status(thm)],[11398])).
% 6.56/6.78 tff(16839,plain,
% 6.56/6.78 (mult(mult(mult(a, c), a), mult(a, b)) = mult(mult(a, c), mult(a, mult(a, b)))),
% 6.56/6.78 inference(unit_resolution,[status(thm)],[16101, 16829])).
% 6.56/6.78 tff(16840,plain,
% 6.56/6.78 (mult(mult(a, c), mult(a, mult(a, b))) = mult(mult(mult(a, c), a), mult(a, b))),
% 6.56/6.78 inference(symmetry,[status(thm)],[16839])).
% 6.56/6.78 tff(16841,plain,
% 6.56/6.78 (mult(b, mult(mult(a, c), mult(a, mult(a, b)))) = mult(b, mult(mult(mult(a, c), a), mult(a, b)))),
% 6.56/6.78 inference(monotonicity,[status(thm)],[16840])).
% 6.56/6.78 tff(16842,plain,
% 6.56/6.78 (mult(b, mult(mult(a, c), mult(a, mult(a, b)))) = mult(b, mult(a, mult(mult(mult(c, a), b), a)))),
% 6.56/6.78 inference(transitivity,[status(thm)],[16841, 13733, 11585, 11390, 4201, 4198, 11610, 11394, 12101, 16838, 11157, 16837, 16833, 16825])).
% 6.56/6.78 tff(16843,plain,
% 6.56/6.78 (ld(b, mult(b, mult(mult(a, c), mult(a, mult(a, b))))) = ld(b, mult(b, mult(a, mult(mult(mult(c, a), b), a))))),
% 6.56/6.78 inference(monotonicity,[status(thm)],[16842])).
% 6.56/6.78 tff(16844,plain,
% 6.56/6.78 ((~![B: $i, A: $i] : (ld(A, mult(A, B)) = B)) | (ld(b, mult(b, mult(mult(a, c), mult(a, mult(a, b))))) = mult(mult(a, c), mult(a, mult(a, b))))),
% 6.56/6.78 inference(quant_inst,[status(thm)],[])).
% 6.56/6.78 tff(16845,plain,
% 6.56/6.78 (ld(b, mult(b, mult(mult(a, c), mult(a, mult(a, b))))) = mult(mult(a, c), mult(a, mult(a, b)))),
% 6.56/6.78 inference(unit_resolution,[status(thm)],[16844, 9])).
% 6.56/6.78 tff(16846,plain,
% 6.56/6.78 (mult(mult(a, c), mult(a, mult(a, b))) = ld(b, mult(b, mult(mult(a, c), mult(a, mult(a, b)))))),
% 6.56/6.78 inference(symmetry,[status(thm)],[16845])).
% 6.56/6.78 tff(16847,plain,
% 6.56/6.78 (mult(mult(mult(a, c), a), mult(a, b)) = mult(mult(mult(a, c), a), mult(b, a))),
% 6.56/6.78 inference(transitivity,[status(thm)],[16839, 16846, 16843, 16823, 11036, 16821, 10732, 16820])).
% 6.56/6.78 tff(16848,plain,
% 6.56/6.78 (ld(mult(mult(a, c), a), mult(mult(mult(a, c), a), mult(a, b))) = ld(mult(mult(a, c), a), mult(mult(mult(a, c), a), mult(b, a)))),
% 6.56/6.78 inference(monotonicity,[status(thm)],[16847])).
% 6.56/6.78 tff(16849,plain,
% 6.56/6.78 ((~![B: $i, A: $i] : (ld(A, mult(A, B)) = B)) | (ld(mult(mult(a, c), a), mult(mult(mult(a, c), a), mult(a, b))) = mult(a, b))),
% 6.56/6.78 inference(quant_inst,[status(thm)],[])).
% 6.56/6.78 tff(16850,plain,
% 6.56/6.78 (ld(mult(mult(a, c), a), mult(mult(mult(a, c), a), mult(a, b))) = mult(a, b)),
% 6.56/6.78 inference(unit_resolution,[status(thm)],[16849, 9])).
% 6.56/6.78 tff(16851,plain,
% 6.56/6.78 (mult(a, b) = ld(mult(mult(a, c), a), mult(mult(mult(a, c), a), mult(a, b)))),
% 6.56/6.78 inference(symmetry,[status(thm)],[16850])).
% 6.56/6.78 tff(16852,plain,
% 6.56/6.78 (mult(a, b) = mult(b, a)),
% 6.56/6.78 inference(transitivity,[status(thm)],[16851, 16848, 16796])).
% 6.56/6.78 tff(16853,plain,
% 6.56/6.78 ($false),
% 6.56/6.78 inference(unit_resolution,[status(thm)],[1, 16852])).
% 6.56/6.78 tff(16854,plain,((~(mult(mult(mult(b, a), mult(mult(c, a), b)), a) = mult(mult(b, a), mult(mult(mult(c, a), b), a)))) | (mult(a, b) = mult(b, a)) | (~(mult(mult(mult(b, a), c), mult(mult(a, b), a)) = mult(mult(b, a), mult(c, mult(mult(a, b), a))))) | (~(mult(mult(b, mult(mult(a, c), a)), mult(a, b)) = mult(b, mult(mult(mult(a, c), a), mult(a, b))))) | (~(mult(mult(mult(mult(b, a), mult(a, c)), b), a) = mult(mult(mult(b, a), mult(a, c)), mult(a, b))))), inference(lemma,lemma(discharge,[]))).
% 6.56/6.78 tff(16855,plain,
% 6.56/6.78 (~(mult(mult(mult(b, a), mult(mult(c, a), b)), a) = mult(mult(b, a), mult(mult(mult(c, a), b), a)))),
% 6.56/6.78 inference(unit_resolution,[status(thm)],[16854, 16794, 15835, 1, 11316])).
% 6.56/6.78 tff(16856,plain,
% 6.56/6.78 ((~(mult(mult(mult(b, a), mult(mult(c, a), b)), a) = mult(mult(b, a), mult(mult(mult(c, a), b), a)))) | (~(mult(mult(mult(b, a), a), mult(mult(c, a), b)) = mult(mult(b, a), mult(a, mult(mult(c, a), b)))))),
% 6.56/6.78 inference(unit_resolution,[status(thm)],[12222, 16855])).
% 6.56/6.78 tff(16857,plain,
% 6.56/6.78 (~((~(mult(mult(mult(b, a), a), mult(mult(c, a), b)) = mult(mult(b, a), mult(mult(mult(c, a), b), a)))) | (~(mult(mult(mult(b, a), mult(mult(c, a), b)), a) = mult(mult(b, a), mult(a, mult(mult(c, a), b))))))),
% 6.56/6.78 inference(unit_resolution,[status(thm)],[12220, 16856])).
% 6.56/6.78 tff(16858,plain,
% 6.56/6.78 (mult(mult(mult(b, a), a), mult(mult(c, a), b)) = mult(mult(b, a), mult(mult(mult(c, a), b), a))),
% 6.56/6.78 inference(unit_resolution,[status(thm)],[14976, 16857])).
% 6.56/6.78 tff(16859,plain,
% 6.56/6.78 ((mult(a, mult(mult(c, a), b)) = mult(a, mult(b, mult(c, a)))) <=> (mult(a, mult(b, mult(c, a))) = mult(a, mult(mult(c, a), b)))),
% 6.56/6.78 inference(commutativity,[status(thm)],[])).
% 6.56/6.78 tff(16860,plain,
% 6.56/6.78 ((mult(mult(a, mult(c, a)), b) = mult(a, mult(b, mult(c, a)))) <=> (mult(a, mult(mult(c, a), b)) = mult(a, mult(b, mult(c, a))))),
% 6.56/6.78 inference(monotonicity,[status(thm)],[16049])).
% 6.56/6.78 tff(16861,plain,
% 6.56/6.78 ((mult(mult(a, mult(c, a)), b) = mult(a, mult(b, mult(c, a)))) <=> (mult(a, mult(b, mult(c, a))) = mult(a, mult(mult(c, a), b)))),
% 6.56/6.78 inference(transitivity,[status(thm)],[16860, 16859])).
% 6.56/6.78 tff(16862,plain,
% 6.56/6.78 ((~(mult(mult(a, mult(c, a)), b) = mult(a, mult(b, mult(c, a))))) <=> (~(mult(a, mult(b, mult(c, a))) = mult(a, mult(mult(c, a), b))))),
% 6.56/6.78 inference(monotonicity,[status(thm)],[16861])).
% 6.56/6.78 tff(16863,plain,
% 6.56/6.78 (mult(mult(b, a), mult(mult(mult(a, b), c), a)) = mult(mult(b, a), mult(mult(a, b), mult(a, c)))),
% 6.56/6.78 inference(monotonicity,[status(thm)],[15801])).
% 6.56/6.78 tff(16864,plain,
% 6.56/6.78 (mult(mult(b, a), mult(mult(a, b), mult(a, c))) = mult(mult(b, a), mult(mult(mult(a, b), c), a))),
% 6.56/6.78 inference(symmetry,[status(thm)],[16863])).
% 6.56/6.78 tff(16865,plain,
% 6.56/6.78 ((mult(mult(b, a), mult(mult(a, c), mult(a, b))) = mult(mult(mult(b, a), mult(a, c)), mult(a, b))) <=> (mult(mult(mult(b, a), mult(a, c)), mult(a, b)) = mult(mult(b, a), mult(mult(a, c), mult(a, b))))),
% 6.56/6.78 inference(commutativity,[status(thm)],[])).
% 6.56/6.78 tff(16866,plain,
% 6.56/6.78 (mult(mult(b, a), mult(mult(mult(c, a), b), a)) = mult(mult(mult(b, a), mult(a, c)), mult(a, b))),
% 6.56/6.78 inference(transitivity,[status(thm)],[11948, 16369, 11155, 7884, 11596, 11316])).
% 6.56/6.78 tff(16867,plain,
% 6.56/6.78 (mult(mult(b, a), mult(mult(a, c), mult(a, b))) = mult(mult(b, a), mult(a, mult(c, mult(a, b))))),
% 6.56/6.78 inference(monotonicity,[status(thm)],[15757])).
% 6.56/6.78 tff(16868,plain,
% 6.56/6.78 (mult(mult(b, a), mult(a, mult(c, mult(a, b)))) = mult(mult(b, a), mult(mult(a, c), mult(a, b)))),
% 6.56/6.78 inference(symmetry,[status(thm)],[16867])).
% 6.56/6.78 tff(16869,plain,
% 6.56/6.78 (mult(mult(b, a), mult(a, mult(c, mult(a, b)))) = mult(mult(b, a), mult(a, mult(mult(c, a), b)))),
% 6.56/6.78 inference(monotonicity,[status(thm)],[16048])).
% 6.56/6.78 tff(16870,plain,
% 6.56/6.78 (mult(mult(b, a), mult(a, mult(mult(c, a), b))) = mult(mult(b, a), mult(a, mult(c, mult(a, b))))),
% 6.56/6.78 inference(symmetry,[status(thm)],[16869])).
% 6.56/6.78 tff(16871,plain,
% 6.56/6.78 (mult(mult(mult(b, a), mult(mult(c, a), b)), a) = mult(mult(b, a), mult(a, mult(mult(c, a), b)))),
% 6.56/6.78 inference(unit_resolution,[status(thm)],[11210, 16857])).
% 6.56/6.78 tff(16872,plain,
% 6.56/6.78 (mult(mult(mult(b, a), mult(mult(c, a), b)), a) = mult(mult(b, a), mult(mult(a, c), mult(a, b)))),
% 6.56/6.78 inference(transitivity,[status(thm)],[16871, 16870, 16868])).
% 6.56/6.78 tff(16873,plain,
% 6.56/6.78 ((mult(mult(mult(b, a), mult(mult(c, a), b)), a) = mult(mult(b, a), mult(mult(mult(c, a), b), a))) <=> (mult(mult(b, a), mult(mult(a, c), mult(a, b))) = mult(mult(mult(b, a), mult(a, c)), mult(a, b)))),
% 6.56/6.78 inference(monotonicity,[status(thm)],[16872, 16866])).
% 6.56/6.78 tff(16874,plain,
% 6.56/6.78 ((mult(mult(mult(b, a), mult(mult(c, a), b)), a) = mult(mult(b, a), mult(mult(mult(c, a), b), a))) <=> (mult(mult(mult(b, a), mult(a, c)), mult(a, b)) = mult(mult(b, a), mult(mult(a, c), mult(a, b))))),
% 6.56/6.78 inference(transitivity,[status(thm)],[16873, 16865])).
% 6.56/6.78 tff(16875,plain,
% 6.56/6.78 ((~(mult(mult(mult(b, a), mult(mult(c, a), b)), a) = mult(mult(b, a), mult(mult(mult(c, a), b), a)))) <=> (~(mult(mult(mult(b, a), mult(a, c)), mult(a, b)) = mult(mult(b, a), mult(mult(a, c), mult(a, b)))))),
% 6.56/6.79 inference(monotonicity,[status(thm)],[16874])).
% 6.56/6.79 tff(16876,plain,
% 6.56/6.79 (~(mult(mult(mult(b, a), mult(a, c)), mult(a, b)) = mult(mult(b, a), mult(mult(a, c), mult(a, b))))),
% 6.56/6.79 inference(modus_ponens,[status(thm)],[16855, 16875])).
% 6.56/6.79 tff(16877,plain,
% 6.56/6.79 ((~(mult(mult(mult(b, a), mult(a, b)), mult(a, c)) = mult(mult(b, a), mult(mult(a, b), mult(a, c))))) | (~(mult(mult(mult(b, a), mult(a, c)), mult(a, b)) = mult(mult(b, a), mult(mult(a, c), mult(a, b)))))),
% 6.56/6.79 inference(unit_resolution,[status(thm)],[16631, 16876])).
% 6.56/6.79 tff(16878,plain,
% 6.56/6.79 (~((~(mult(mult(mult(b, a), mult(a, b)), mult(a, c)) = mult(mult(b, a), mult(mult(a, c), mult(a, b))))) | (~(mult(mult(mult(b, a), mult(a, c)), mult(a, b)) = mult(mult(b, a), mult(mult(a, b), mult(a, c))))))),
% 6.56/6.79 inference(unit_resolution,[status(thm)],[12508, 16877])).
% 6.56/6.79 tff(16879,plain,
% 6.56/6.79 (mult(mult(mult(b, a), mult(a, c)), mult(a, b)) = mult(mult(b, a), mult(mult(a, b), mult(a, c)))),
% 6.56/6.79 inference(unit_resolution,[status(thm)],[12503, 16878])).
% 6.56/6.79 tff(16880,plain,
% 6.56/6.79 (mult(mult(b, a), mult(c, mult(mult(a, b), a))) = mult(mult(b, a), mult(mult(mult(a, b), c), a))),
% 6.56/6.79 inference(transitivity,[status(thm)],[16369, 11155, 7884, 11596, 11316, 16879, 16864])).
% 6.56/6.79 tff(16881,plain,
% 6.56/6.79 (ld(mult(b, a), mult(mult(b, a), mult(c, mult(mult(a, b), a)))) = ld(mult(b, a), mult(mult(b, a), mult(mult(mult(a, b), c), a)))),
% 6.56/6.79 inference(monotonicity,[status(thm)],[16880])).
% 6.56/6.79 tff(16882,plain,
% 6.56/6.79 (ld(mult(b, a), mult(mult(b, a), mult(mult(mult(a, b), c), a))) = ld(mult(b, a), mult(mult(b, a), mult(c, mult(mult(a, b), a))))),
% 6.56/6.79 inference(symmetry,[status(thm)],[16881])).
% 6.56/6.79 tff(16883,plain,
% 6.56/6.79 (mult(mult(mult(a, b), c), a) = mult(mult(mult(c, a), b), a)),
% 6.56/6.79 inference(transitivity,[status(thm)],[12949, 16882, 11130, 2808])).
% 6.56/6.79 tff(16884,plain,
% 6.56/6.79 (rd(mult(mult(mult(a, b), c), a), a) = rd(mult(mult(mult(c, a), b), a), a)),
% 6.56/6.79 inference(monotonicity,[status(thm)],[16883])).
% 6.56/6.79 tff(16885,plain,
% 6.56/6.79 (mult(mult(a, b), c) = mult(mult(c, a), b)),
% 6.56/6.79 inference(transitivity,[status(thm)],[173, 16884, 3844])).
% 6.56/6.79 tff(16886,plain,
% 6.56/6.79 (mult(a, mult(mult(a, b), c)) = mult(a, mult(mult(c, a), b))),
% 6.56/6.79 inference(monotonicity,[status(thm)],[16885])).
% 6.56/6.79 tff(16887,plain,
% 6.56/6.79 (mult(a, mult(mult(c, a), b)) = mult(a, mult(mult(a, b), c))),
% 6.56/6.79 inference(symmetry,[status(thm)],[16886])).
% 6.56/6.79 tff(16888,plain,
% 6.56/6.79 (mult(mult(a, c), mult(a, b)) = mult(a, mult(mult(a, b), c))),
% 6.56/6.79 inference(transitivity,[status(thm)],[15757, 16048, 16887])).
% 6.56/6.79 tff(16889,plain,
% 6.56/6.79 ((~(mult(mult(a, mult(c, a)), b) = mult(a, mult(b, mult(c, a))))) | (mult(a, b) = mult(b, a)) | (~(mult(mult(a, c), mult(a, b)) = mult(a, mult(mult(a, b), c)))) | (~(mult(mult(mult(a, c), a), b) = mult(mult(a, c), mult(a, b))))),
% 6.56/6.79 inference(unit_resolution,[status(thm)],[4689, 4679])).
% 6.56/6.79 tff(16890,plain,
% 6.56/6.79 (~(mult(mult(a, mult(c, a)), b) = mult(a, mult(b, mult(c, a))))),
% 6.56/6.79 inference(unit_resolution,[status(thm)],[16889, 16888, 16042, 1])).
% 6.56/6.79 tff(16891,plain,
% 6.56/6.79 (~(mult(a, mult(b, mult(c, a))) = mult(a, mult(mult(c, a), b)))),
% 6.56/6.79 inference(modus_ponens,[status(thm)],[16890, 16862])).
% 6.56/6.79 tff(16892,plain,
% 6.56/6.79 (~(mult(b, mult(c, a)) = mult(mult(c, a), b))),
% 6.56/6.79 inference(unit_resolution,[status(thm)],[13456, 16891])).
% 6.56/6.79 tff(16893,assumption,(mult(mult(mult(b, a), a), mult(mult(c, a), b)) = mult(mult(b, a), mult(mult(mult(c, a), b), a))), introduced(assumption)).
% 6.56/6.79 tff(16894,plain,
% 6.56/6.79 (mult(mult(b, a), mult(mult(mult(c, a), b), a)) = mult(mult(mult(b, a), a), mult(mult(c, a), b))),
% 6.56/6.79 inference(symmetry,[status(thm)],[16893])).
% 6.56/6.79 tff(16895,plain,
% 6.56/6.79 (mult(mult(c, a), mult(b, a)) = mult(mult(mult(c, a), b), a)),
% 6.56/6.79 inference(transitivity,[status(thm)],[4520, 4516, 2808])).
% 6.56/6.79 tff(16896,plain,
% 6.56/6.79 (mult(mult(b, a), mult(mult(c, a), mult(b, a))) = mult(mult(b, a), mult(mult(mult(c, a), b), a))),
% 6.56/6.79 inference(monotonicity,[status(thm)],[16895])).
% 6.56/6.79 tff(16897,assumption,(mult(mult(mult(b, a), mult(c, a)), mult(b, a)) = mult(mult(b, a), mult(mult(c, a), mult(b, a)))), introduced(assumption)).
% 6.56/6.79 tff(16898,plain,
% 6.56/6.79 (mult(mult(mult(mult(b, a), a), c), mult(b, a)) = mult(mult(mult(b, a), mult(c, a)), mult(b, a))),
% 6.56/6.79 inference(monotonicity,[status(thm)],[8333])).
% 6.56/6.79 tff(16899,plain,
% 6.56/6.79 (mult(mult(mult(b, a), a), mult(mult(b, a), c)) = mult(mult(mult(mult(b, a), a), c), mult(b, a))),
% 6.56/6.79 inference(symmetry,[status(thm)],[16353])).
% 6.56/6.79 tff(16900,plain,
% 6.56/6.79 (mult(mult(mult(b, a), a), mult(b, mult(c, a))) = mult(mult(mult(b, a), a), mult(mult(b, a), c))),
% 6.56/6.79 inference(monotonicity,[status(thm)],[3531])).
% 6.56/6.79 tff(16901,plain,
% 6.56/6.79 (mult(mult(mult(b, a), a), mult(b, mult(c, a))) = mult(mult(mult(b, a), a), mult(mult(c, a), b))),
% 6.56/6.79 inference(transitivity,[status(thm)],[16900, 16899, 16898, 16897, 16896, 16894])).
% 6.56/6.79 tff(16902,plain,
% 6.56/6.79 (ld(mult(mult(b, a), a), mult(mult(mult(b, a), a), mult(b, mult(c, a)))) = ld(mult(mult(b, a), a), mult(mult(mult(b, a), a), mult(mult(c, a), b)))),
% 6.56/6.79 inference(monotonicity,[status(thm)],[16901])).
% 6.56/6.79 tff(16903,plain,
% 6.56/6.79 (mult(b, mult(c, a)) = mult(mult(c, a), b)),
% 6.56/6.79 inference(transitivity,[status(thm)],[15014, 16902, 14972])).
% 6.56/6.79 tff(16904,plain,
% 6.56/6.79 ($false),
% 6.56/6.79 inference(unit_resolution,[status(thm)],[14970, 16903])).
% 6.56/6.79 tff(16905,plain,((~(mult(mult(mult(b, a), mult(c, a)), mult(b, a)) = mult(mult(b, a), mult(mult(c, a), mult(b, a))))) | (mult(b, mult(c, a)) = mult(mult(c, a), b)) | (~(mult(mult(mult(b, a), a), mult(mult(c, a), b)) = mult(mult(b, a), mult(mult(mult(c, a), b), a)))) | (~(mult(mult(c, a), mult(b, a)) = mult(c, mult(a, mult(b, a))))) | (mult(mult(mult(mult(b, a), a), c), mult(b, a)) = mult(mult(mult(b, a), a), mult(c, mult(b, a))))), inference(lemma,lemma(discharge,[]))).
% 6.56/6.79 tff(16906,plain,
% 6.56/6.79 (~(mult(mult(mult(b, a), mult(c, a)), mult(b, a)) = mult(mult(b, a), mult(mult(c, a), mult(b, a))))),
% 6.56/6.79 inference(unit_resolution,[status(thm)],[16905, 16892, 16858, 15831, 16011])).
% 6.56/6.79 tff(16907,plain,
% 6.56/6.79 ((~(mult(mult(mult(b, a), mult(c, a)), mult(b, a)) = mult(mult(b, a), mult(mult(c, a), mult(b, a))))) | (~(mult(mult(mult(b, a), mult(b, a)), mult(c, a)) = mult(mult(b, a), mult(mult(b, a), mult(c, a)))))),
% 6.56/6.79 inference(unit_resolution,[status(thm)],[16379, 16906])).
% 6.56/6.79 tff(16908,plain,
% 6.56/6.79 (~((~(mult(mult(mult(b, a), mult(b, a)), mult(c, a)) = mult(mult(b, a), mult(mult(c, a), mult(b, a))))) | (~(mult(mult(mult(b, a), mult(c, a)), mult(b, a)) = mult(mult(b, a), mult(mult(b, a), mult(c, a))))))),
% 6.56/6.79 inference(unit_resolution,[status(thm)],[16387, 16907])).
% 6.56/6.79 tff(16909,plain,
% 6.56/6.79 (mult(mult(mult(b, a), mult(c, a)), mult(b, a)) = mult(mult(b, a), mult(mult(b, a), mult(c, a)))),
% 6.56/6.79 inference(unit_resolution,[status(thm)],[8008, 16908])).
% 6.56/6.79 tff(16910,assumption,(mult(mult(mult(b, a), mult(c, a)), mult(b, a)) = mult(mult(b, a), mult(mult(b, a), mult(c, a)))), introduced(assumption)).
% 6.56/6.79 tff(16911,assumption,(mult(mult(mult(mult(b, a), a), c), mult(b, a)) = mult(mult(mult(b, a), a), mult(mult(b, a), c))), introduced(assumption)).
% 6.56/6.79 tff(16912,plain,
% 6.56/6.79 (mult(mult(mult(b, a), a), mult(mult(b, a), c)) = mult(mult(mult(mult(b, a), a), c), mult(b, a))),
% 6.56/6.79 inference(symmetry,[status(thm)],[16911])).
% 6.56/6.79 tff(16913,assumption,(mult(mult(mult(b, a), a), mult(b, mult(c, a))) = mult(mult(b, a), mult(a, mult(b, mult(c, a))))), introduced(assumption)).
% 6.56/6.79 tff(16914,plain,
% 6.56/6.79 (mult(mult(b, a), mult(a, mult(b, mult(c, a)))) = mult(mult(mult(b, a), a), mult(b, mult(c, a)))),
% 6.56/6.79 inference(symmetry,[status(thm)],[16913])).
% 6.56/6.79 tff(16915,plain,
% 6.56/6.79 (mult(mult(b, a), mult(mult(mult(a, b), a), c)) = mult(mult(b, a), mult(a, mult(b, mult(c, a))))),
% 6.56/6.79 inference(monotonicity,[status(thm)],[15804])).
% 6.56/6.79 tff(16916,plain,
% 6.56/6.79 (mult(mult(b, a), mult(mult(mult(a, b), a), c)) = mult(mult(b, a), mult(mult(b, a), mult(c, a)))),
% 6.56/6.79 inference(transitivity,[status(thm)],[16915, 16914, 16900, 16912, 16898, 16910])).
% 6.56/6.79 tff(16917,plain,
% 6.56/6.79 (ld(mult(b, a), mult(mult(b, a), mult(mult(mult(a, b), a), c))) = ld(mult(b, a), mult(mult(b, a), mult(mult(b, a), mult(c, a))))),
% 6.56/6.79 inference(monotonicity,[status(thm)],[16916])).
% 6.56/6.79 tff(16918,plain,
% 6.56/6.79 (mult(mult(a, b), mult(c, a)) = mult(mult(b, a), mult(c, a))),
% 6.56/6.79 inference(transitivity,[status(thm)],[9223, 16397, 16917, 16009])).
% 6.56/6.79 tff(16919,plain,
% 6.56/6.79 (rd(mult(mult(a, b), mult(c, a)), mult(c, a)) = rd(mult(mult(b, a), mult(c, a)), mult(c, a))),
% 6.56/6.79 inference(monotonicity,[status(thm)],[16918])).
% 6.56/6.79 tff(16920,plain,
% 6.56/6.79 (mult(a, b) = mult(b, a)),
% 6.56/6.79 inference(transitivity,[status(thm)],[16402, 16919, 16338])).
% 6.56/6.79 tff(16921,plain,
% 6.56/6.79 ($false),
% 6.56/6.79 inference(unit_resolution,[status(thm)],[1, 16920])).
% 6.56/6.79 tff(16922,plain,((~(mult(mult(mult(b, a), a), mult(b, mult(c, a))) = mult(mult(b, a), mult(a, mult(b, mult(c, a)))))) | (mult(a, b) = mult(b, a)) | (~(mult(mult(mult(mult(b, a), a), c), mult(b, a)) = mult(mult(mult(b, a), a), mult(mult(b, a), c)))) | (~(mult(mult(mult(b, a), mult(c, a)), mult(b, a)) = mult(mult(b, a), mult(mult(b, a), mult(c, a)))))), inference(lemma,lemma(discharge,[]))).
% 6.56/6.79 tff(16923,plain,
% 6.56/6.79 (~(mult(mult(mult(b, a), a), mult(b, mult(c, a))) = mult(mult(b, a), mult(a, mult(b, mult(c, a)))))),
% 6.56/6.79 inference(unit_resolution,[status(thm)],[16922, 16353, 1, 16909])).
% 6.56/6.79 tff(16924,plain,
% 6.56/6.79 ((~(mult(mult(mult(b, a), a), mult(b, mult(c, a))) = mult(mult(b, a), mult(a, mult(b, mult(c, a)))))) | (~(mult(mult(mult(b, a), mult(b, mult(c, a))), a) = mult(mult(b, a), mult(mult(b, mult(c, a)), a))))),
% 6.56/6.79 inference(unit_resolution,[status(thm)],[15008, 16923])).
% 6.56/6.79 tff(16925,plain,
% 6.56/6.79 (~((~(mult(mult(mult(b, a), a), mult(b, mult(c, a))) = mult(mult(b, a), mult(mult(b, mult(c, a)), a)))) | (~(mult(mult(mult(b, a), mult(b, mult(c, a))), a) = mult(mult(b, a), mult(a, mult(b, mult(c, a)))))))),
% 6.56/6.79 inference(unit_resolution,[status(thm)],[16366, 16924])).
% 6.56/6.79 tff(16926,plain,
% 6.56/6.79 (mult(mult(mult(b, a), a), mult(b, mult(c, a))) = mult(mult(b, a), mult(mult(b, mult(c, a)), a))),
% 6.56/6.79 inference(unit_resolution,[status(thm)],[14265, 16925])).
% 6.56/6.79 tff(16927,plain,
% 6.56/6.79 (mult(mult(mult(b, a), a), mult(mult(b, a), c)) = mult(mult(mult(b, a), a), mult(b, mult(c, a)))),
% 6.56/6.79 inference(symmetry,[status(thm)],[16900])).
% 6.56/6.79 tff(16928,plain,
% 6.56/6.79 (mult(mult(mult(b, a), mult(c, a)), mult(b, a)) = mult(mult(mult(mult(b, a), a), c), mult(b, a))),
% 6.56/6.79 inference(symmetry,[status(thm)],[16898])).
% 6.56/6.79 tff(16929,plain,
% 6.56/6.79 (mult(mult(b, a), mult(mult(b, a), mult(c, a))) = mult(mult(mult(b, a), mult(c, a)), mult(b, a))),
% 6.56/6.79 inference(symmetry,[status(thm)],[16909])).
% 6.56/6.79 tff(16930,plain,
% 6.56/6.79 (mult(mult(b, a), mult(mult(b, a), mult(c, a))) = mult(mult(b, a), mult(mult(b, a), mult(a, c)))),
% 6.56/6.79 inference(transitivity,[status(thm)],[16929, 16928, 16353, 16927, 16926, 16010])).
% 6.56/6.79 tff(16931,plain,
% 6.56/6.79 (ld(mult(b, a), mult(mult(b, a), mult(mult(b, a), mult(c, a)))) = ld(mult(b, a), mult(mult(b, a), mult(mult(b, a), mult(a, c))))),
% 6.56/6.79 inference(monotonicity,[status(thm)],[16930])).
% 6.56/6.79 tff(16932,plain,
% 6.56/6.79 (ld(mult(b, a), mult(mult(b, a), mult(mult(b, a), mult(a, c)))) = ld(mult(b, a), mult(mult(b, a), mult(mult(b, a), mult(c, a))))),
% 6.56/6.79 inference(symmetry,[status(thm)],[16931])).
% 6.56/6.79 tff(16933,plain,
% 6.56/6.79 (mult(mult(mult(b, a), c), a) = mult(mult(b, a), mult(c, a))),
% 6.56/6.79 inference(transitivity,[status(thm)],[3530, 11270, 16932, 16009])).
% 6.56/6.79 tff(16934,plain,
% 6.56/6.79 ($false),
% 6.56/6.79 inference(unit_resolution,[status(thm)],[16342, 16933])).
% 6.56/6.79 tff(16935,plain,((mult(mult(mult(mult(b, a), a), c), mult(b, a)) = mult(mult(mult(b, a), a), mult(c, mult(b, a)))) | (mult(a, b) = mult(b, a)) | (~(mult(mult(mult(mult(b, a), mult(a, c)), b), a) = mult(mult(mult(b, a), mult(a, c)), mult(a, b)))) | (~(mult(mult(mult(mult(b, a), mult(a, c)), a), b) = mult(mult(mult(b, a), mult(a, c)), mult(b, a)))) | (mult(mult(mult(b, mult(c, a)), a), mult(b, a)) = mult(mult(b, mult(c, a)), mult(a, mult(b, a)))) | (mult(mult(mult(b, a), c), mult(mult(a, b), a)) = mult(mult(b, a), mult(mult(mult(a, b), a), c)))), inference(lemma,lemma(discharge,[]))).
% 6.56/6.79 tff(16936,plain,
% 6.56/6.79 (mult(mult(mult(mult(b, a), a), c), mult(b, a)) = mult(mult(mult(b, a), a), mult(c, mult(b, a)))),
% 6.56/6.79 inference(unit_resolution,[status(thm)],[16935, 11888, 1, 15347, 16007, 15832])).
% 6.56/6.79 tff(16937,plain,
% 6.56/6.79 (mult(mult(c, mult(b, a)), a) = mult(c, mult(mult(b, a), a))),
% 6.56/6.79 inference(unit_resolution,[status(thm)],[7591, 15830])).
% 6.56/6.79 tff(16938,plain,
% 6.56/6.79 ((~(mult(mult(c, b), a) = mult(c, mult(a, b)))) | (~(mult(mult(c, a), b) = mult(c, mult(b, a))))),
% 6.56/6.79 inference(unit_resolution,[status(thm)],[546, 15796])).
% 6.56/6.79 tff(16939,plain,
% 6.56/6.79 (~((~(mult(mult(c, b), a) = mult(c, mult(b, a)))) | (~(mult(mult(c, a), b) = mult(c, mult(a, b)))))),
% 6.56/6.79 inference(unit_resolution,[status(thm)],[301, 16938])).
% 6.56/6.79 tff(16940,plain,
% 6.56/6.79 (mult(mult(c, b), a) = mult(c, mult(b, a))),
% 6.56/6.79 inference(unit_resolution,[status(thm)],[543, 16939])).
% 6.56/6.79 tff(16941,plain,
% 6.56/6.79 (mult(mult(mult(b, a), mult(a, c)), mult(b, a)) = mult(mult(b, a), mult(mult(b, a), mult(a, c)))),
% 6.56/6.79 inference(unit_resolution,[status(thm)],[11137, 13226])).
% 6.56/6.79 tff(16942,plain,
% 6.56/6.79 (mult(mult(mult(mult(b, a), a), c), mult(b, a)) = mult(mult(mult(b, a), a), mult(c, mult(b, a)))),
% 6.56/6.79 inference(unit_resolution,[status(thm)],[16405, 16941, 15832, 1])).
% 6.56/6.79 tff(16943,plain,
% 6.56/6.79 (mult(mult(a, mult(c, b)), a) = mult(mult(a, c), mult(b, a))),
% 6.56/6.79 inference(transitivity,[status(thm)],[16558, 15794])).
% 6.56/6.79 tff(16944,plain,
% 6.56/6.79 (mult(mult(b, a), mult(mult(a, mult(c, b)), a)) = mult(mult(b, a), mult(mult(a, c), mult(b, a)))),
% 6.56/6.79 inference(monotonicity,[status(thm)],[16943])).
% 6.56/6.79 tff(16945,plain,
% 6.56/6.79 (mult(mult(b, a), mult(mult(a, c), mult(b, a))) = mult(mult(b, a), mult(mult(a, mult(c, b)), a))),
% 6.56/6.79 inference(symmetry,[status(thm)],[16944])).
% 6.56/6.79 tff(16946,plain,
% 6.56/6.79 (mult(mult(a, c), mult(b, a)) = mult(a, mult(mult(c, b), a))),
% 6.56/6.79 inference(transitivity,[status(thm)],[16012, 9005, 8184])).
% 6.56/6.79 tff(16947,plain,
% 6.56/6.79 (mult(mult(b, a), mult(mult(a, c), mult(b, a))) = mult(mult(b, a), mult(a, mult(mult(c, b), a)))),
% 6.56/6.79 inference(monotonicity,[status(thm)],[16946])).
% 6.56/6.79 tff(16948,plain,
% 6.56/6.79 (mult(mult(b, a), mult(a, mult(mult(c, b), a))) = mult(mult(b, a), mult(mult(a, c), mult(b, a)))),
% 6.56/6.79 inference(symmetry,[status(thm)],[16947])).
% 6.56/6.79 tff(16949,assumption,(mult(mult(mult(mult(b, a), a), c), mult(b, a)) = mult(mult(mult(b, a), a), mult(c, mult(b, a)))), introduced(assumption)).
% 6.56/6.79 tff(16950,plain,
% 6.56/6.79 (mult(mult(b, a), mult(mult(b, a), mult(a, c))) = mult(mult(mult(b, a), mult(a, c)), mult(b, a))),
% 6.56/6.79 inference(symmetry,[status(thm)],[16941])).
% 6.56/6.79 tff(16951,assumption,(mult(mult(mult(b, a), mult(b, mult(c, a))), a) = mult(mult(b, a), mult(mult(b, mult(c, a)), a))), introduced(assumption)).
% 6.56/6.79 tff(16952,plain,
% 6.56/6.79 (mult(mult(a, mult(b, a)), c) = mult(mult(mult(a, b), a), c)),
% 6.56/6.79 inference(symmetry,[status(thm)],[15154])).
% 6.56/6.79 tff(16953,plain,
% 6.56/6.79 (mult(a, mult(b, mult(c, a))) = mult(mult(mult(a, b), a), c)),
% 6.56/6.79 inference(transitivity,[status(thm)],[5246, 16339, 16952])).
% 6.56/6.79 tff(16954,plain,
% 6.56/6.79 (mult(mult(a, mult(b, mult(c, a))), a) = mult(mult(mult(mult(a, b), a), c), a)),
% 6.56/6.79 inference(monotonicity,[status(thm)],[16953])).
% 6.56/6.79 tff(16955,plain,
% 6.56/6.79 (mult(mult(mult(mult(a, b), a), c), a) = mult(mult(a, mult(b, mult(c, a))), a)),
% 6.56/6.79 inference(symmetry,[status(thm)],[16954])).
% 6.56/6.79 tff(16956,plain,
% 6.56/6.79 (mult(mult(mult(a, b), a), mult(a, c)) = mult(mult(a, mult(b, mult(c, a))), a)),
% 6.56/6.79 inference(transitivity,[status(thm)],[16004, 11097, 16955])).
% 6.56/6.79 tff(16957,plain,
% 6.56/6.79 (mult(b, mult(mult(mult(a, b), a), mult(a, c))) = mult(b, mult(mult(a, mult(b, mult(c, a))), a))),
% 6.56/6.79 inference(monotonicity,[status(thm)],[16956])).
% 6.56/6.79 tff(16958,plain,
% 6.56/6.79 (mult(mult(a, b), mult(mult(a, c), a)) = mult(mult(mult(a, b), a), mult(a, c))),
% 6.56/6.79 inference(symmetry,[status(thm)],[16004])).
% 6.56/6.79 tff(16959,plain,
% 6.56/6.79 (mult(b, mult(mult(a, b), mult(mult(a, c), a))) = mult(b, mult(mult(mult(a, b), a), mult(a, c)))),
% 6.56/6.79 inference(monotonicity,[status(thm)],[16958])).
% 6.56/6.79 tff(16960,plain,
% 6.56/6.79 (mult(b, mult(mult(a, b), mult(mult(a, c), a))) = mult(mult(mult(b, mult(c, a)), a), mult(b, a))),
% 6.56/6.79 inference(transitivity,[status(thm)],[16959, 16957, 14695, 16951, 14242, 16950, 3535])).
% 6.56/6.79 tff(16961,plain,
% 6.56/6.79 ((mult(mult(b, mult(mult(a, c), a)), mult(a, b)) = mult(b, mult(mult(a, b), mult(mult(a, c), a)))) <=> (mult(mult(b, mult(c, a)), mult(a, mult(b, a))) = mult(mult(mult(b, mult(c, a)), a), mult(b, a)))),
% 6.56/6.79 inference(monotonicity,[status(thm)],[11586, 16960])).
% 6.56/6.79 tff(16962,plain,
% 6.56/6.79 ((mult(mult(b, mult(mult(a, c), a)), mult(a, b)) = mult(b, mult(mult(a, b), mult(mult(a, c), a)))) <=> (mult(mult(mult(b, mult(c, a)), a), mult(b, a)) = mult(mult(b, mult(c, a)), mult(a, mult(b, a))))),
% 6.56/6.79 inference(transitivity,[status(thm)],[16961, 2])).
% 6.56/6.79 tff(16963,plain,
% 6.56/6.79 ((mult(mult(mult(b, mult(c, a)), a), mult(b, a)) = mult(mult(b, mult(c, a)), mult(a, mult(b, a)))) <=> (mult(mult(b, mult(mult(a, c), a)), mult(a, b)) = mult(b, mult(mult(a, b), mult(mult(a, c), a))))),
% 6.56/6.79 inference(symmetry,[status(thm)],[16962])).
% 6.56/6.79 tff(16964,plain,
% 6.56/6.79 ((~(mult(mult(mult(b, mult(c, a)), a), mult(b, a)) = mult(mult(b, mult(c, a)), mult(a, mult(b, a))))) <=> (~(mult(mult(b, mult(mult(a, c), a)), mult(a, b)) = mult(b, mult(mult(a, b), mult(mult(a, c), a)))))),
% 6.56/6.79 inference(monotonicity,[status(thm)],[16963])).
% 6.56/6.79 tff(16965,plain,
% 6.56/6.79 (~(mult(mult(b, mult(mult(a, c), a)), mult(a, b)) = mult(b, mult(mult(a, b), mult(mult(a, c), a))))),
% 6.56/6.79 inference(modus_ponens,[status(thm)],[10726, 16964])).
% 6.56/6.79 tff(16966,plain,
% 6.56/6.79 ((~(mult(mult(b, mult(a, b)), mult(mult(a, c), a)) = mult(b, mult(mult(mult(a, c), a), mult(a, b))))) | (~(mult(mult(b, mult(mult(a, c), a)), mult(a, b)) = mult(b, mult(mult(a, b), mult(mult(a, c), a)))))),
% 6.56/6.80 inference(unit_resolution,[status(thm)],[11530, 16965])).
% 6.56/6.80 tff(16967,plain,
% 6.56/6.80 (~((~(mult(mult(b, mult(a, b)), mult(mult(a, c), a)) = mult(b, mult(mult(a, b), mult(mult(a, c), a))))) | (~(mult(mult(b, mult(mult(a, c), a)), mult(a, b)) = mult(b, mult(mult(mult(a, c), a), mult(a, b))))))),
% 6.56/6.80 inference(unit_resolution,[status(thm)],[11528, 16966])).
% 6.56/6.80 tff(16968,plain,
% 6.56/6.80 (mult(mult(b, mult(mult(a, c), a)), mult(a, b)) = mult(b, mult(mult(mult(a, c), a), mult(a, b)))),
% 6.56/6.80 inference(unit_resolution,[status(thm)],[11520, 16967])).
% 6.56/6.80 tff(16969,plain,
% 6.56/6.80 (~(mult(mult(mult(b, a), mult(mult(c, a), b)), a) = mult(mult(b, a), mult(mult(mult(c, a), b), a)))),
% 6.56/6.80 inference(unit_resolution,[status(thm)],[16854, 16968, 11394, 1, 11316])).
% 6.56/6.80 tff(16970,plain,
% 6.56/6.80 ((~(mult(mult(mult(b, a), mult(mult(c, a), b)), a) = mult(mult(b, a), mult(mult(mult(c, a), b), a)))) | (~(mult(mult(mult(b, a), a), mult(mult(c, a), b)) = mult(mult(b, a), mult(a, mult(mult(c, a), b)))))),
% 6.56/6.80 inference(unit_resolution,[status(thm)],[12222, 16969])).
% 6.56/6.80 tff(16971,plain,
% 6.56/6.80 (~((~(mult(mult(mult(b, a), a), mult(mult(c, a), b)) = mult(mult(b, a), mult(mult(mult(c, a), b), a)))) | (~(mult(mult(mult(b, a), mult(mult(c, a), b)), a) = mult(mult(b, a), mult(a, mult(mult(c, a), b))))))),
% 6.56/6.80 inference(unit_resolution,[status(thm)],[12220, 16970])).
% 6.56/6.80 tff(16972,plain,
% 6.56/6.80 (mult(mult(mult(b, a), a), mult(mult(c, a), b)) = mult(mult(b, a), mult(mult(mult(c, a), b), a))),
% 6.56/6.80 inference(unit_resolution,[status(thm)],[14976, 16971])).
% 6.56/6.80 tff(16973,plain,
% 6.56/6.80 (~(mult(mult(c, mult(b, a)), a) = mult(c, mult(a, mult(b, a))))),
% 6.56/6.80 inference(unit_resolution,[status(thm)],[15820, 8168])).
% 6.56/6.80 tff(16974,plain,
% 6.56/6.80 ((~(mult(mult(c, a), mult(b, a)) = mult(c, mult(mult(b, a), a)))) | (~(mult(mult(c, mult(b, a)), a) = mult(c, mult(a, mult(b, a)))))),
% 6.56/6.80 inference(unit_resolution,[status(thm)],[15828, 16973])).
% 6.56/6.80 tff(16975,plain,
% 6.56/6.80 (~((~(mult(mult(c, a), mult(b, a)) = mult(c, mult(a, mult(b, a))))) | (~(mult(mult(c, mult(b, a)), a) = mult(c, mult(mult(b, a), a)))))),
% 6.56/6.80 inference(unit_resolution,[status(thm)],[4534, 16974])).
% 6.56/6.80 tff(16976,plain,
% 6.56/6.80 (mult(mult(c, a), mult(b, a)) = mult(c, mult(a, mult(b, a)))),
% 6.56/6.80 inference(unit_resolution,[status(thm)],[4526, 16975])).
% 6.56/6.80 tff(16977,plain,
% 6.56/6.80 (mult(mult(c, a), mult(b, a)) = mult(mult(mult(c, a), b), a)),
% 6.56/6.80 inference(transitivity,[status(thm)],[16976, 4516, 2808])).
% 6.56/6.80 tff(16978,plain,
% 6.56/6.80 (mult(mult(b, a), mult(mult(c, a), mult(b, a))) = mult(mult(b, a), mult(mult(mult(c, a), b), a))),
% 6.56/6.80 inference(monotonicity,[status(thm)],[16977])).
% 6.56/6.80 tff(16979,plain,
% 6.56/6.80 (mult(mult(mult(b, a), a), mult(c, mult(b, a))) = mult(mult(mult(mult(b, a), a), c), mult(b, a))),
% 6.56/6.80 inference(symmetry,[status(thm)],[16949])).
% 6.56/6.80 tff(16980,plain,
% 6.56/6.80 (mult(mult(mult(b, a), a), mult(mult(c, b), a)) = mult(mult(mult(b, a), a), mult(c, mult(b, a)))),
% 6.56/6.80 inference(monotonicity,[status(thm)],[2100])).
% 6.56/6.80 tff(16981,plain,
% 6.56/6.80 (mult(mult(mult(b, a), a), mult(mult(c, b), a)) = mult(mult(mult(b, a), a), mult(mult(c, a), b))),
% 6.56/6.80 inference(transitivity,[status(thm)],[16980, 16979, 16898, 16897, 16978, 16894])).
% 6.64/6.80 tff(16982,plain,
% 6.64/6.80 (ld(mult(mult(b, a), a), mult(mult(mult(b, a), a), mult(mult(c, b), a))) = ld(mult(mult(b, a), a), mult(mult(mult(b, a), a), mult(mult(c, a), b)))),
% 6.64/6.80 inference(monotonicity,[status(thm)],[16981])).
% 6.64/6.80 tff(16983,plain,
% 6.64/6.80 ((~![B: $i, A: $i] : (ld(A, mult(A, B)) = B)) | (ld(mult(mult(b, a), a), mult(mult(mult(b, a), a), mult(mult(c, b), a))) = mult(mult(c, b), a))),
% 6.64/6.80 inference(quant_inst,[status(thm)],[])).
% 6.64/6.80 tff(16984,plain,
% 6.64/6.80 (ld(mult(mult(b, a), a), mult(mult(mult(b, a), a), mult(mult(c, b), a))) = mult(mult(c, b), a)),
% 6.64/6.80 inference(unit_resolution,[status(thm)],[16983, 9])).
% 6.64/6.80 tff(16985,plain,
% 6.64/6.80 (mult(mult(c, b), a) = ld(mult(mult(b, a), a), mult(mult(mult(b, a), a), mult(mult(c, b), a)))),
% 6.64/6.80 inference(symmetry,[status(thm)],[16984])).
% 6.64/6.80 tff(16986,plain,
% 6.64/6.80 (mult(mult(c, b), a) = mult(c, mult(a, b))),
% 6.64/6.80 inference(transitivity,[status(thm)],[16985, 16982, 14972, 268])).
% 6.64/6.80 tff(16987,plain,
% 6.64/6.80 ($false),
% 6.64/6.80 inference(unit_resolution,[status(thm)],[2097, 16986])).
% 6.64/6.80 tff(16988,plain,((~(mult(mult(mult(b, a), mult(c, a)), mult(b, a)) = mult(mult(b, a), mult(mult(c, a), mult(b, a))))) | (mult(mult(c, b), a) = mult(c, mult(a, b))) | (~(mult(mult(c, a), b) = mult(c, mult(a, b)))) | (~(mult(mult(mult(b, a), a), mult(mult(c, a), b)) = mult(mult(b, a), mult(mult(mult(c, a), b), a)))) | (~(mult(mult(mult(mult(b, a), a), c), mult(b, a)) = mult(mult(mult(b, a), a), mult(c, mult(b, a)))))), inference(lemma,lemma(discharge,[]))).
% 6.64/6.80 tff(16989,plain,
% 6.64/6.80 (~(mult(mult(mult(b, a), mult(c, a)), mult(b, a)) = mult(mult(b, a), mult(mult(c, a), mult(b, a))))),
% 6.64/6.80 inference(unit_resolution,[status(thm)],[16988, 16972, 15733, 16949, 15796])).
% 6.64/6.80 tff(16990,plain,
% 6.64/6.80 ((~(mult(mult(mult(b, a), mult(c, a)), mult(b, a)) = mult(mult(b, a), mult(mult(c, a), mult(b, a))))) | (~(mult(mult(mult(b, a), mult(b, a)), mult(c, a)) = mult(mult(b, a), mult(mult(b, a), mult(c, a)))))),
% 6.64/6.80 inference(unit_resolution,[status(thm)],[16379, 16989])).
% 6.64/6.80 tff(16991,plain,
% 6.64/6.80 (~((~(mult(mult(mult(b, a), mult(b, a)), mult(c, a)) = mult(mult(b, a), mult(mult(c, a), mult(b, a))))) | (~(mult(mult(mult(b, a), mult(c, a)), mult(b, a)) = mult(mult(b, a), mult(mult(b, a), mult(c, a))))))),
% 6.64/6.80 inference(unit_resolution,[status(thm)],[16387, 16990])).
% 6.64/6.80 tff(16992,plain,
% 6.64/6.80 (mult(mult(mult(b, a), mult(c, a)), mult(b, a)) = mult(mult(b, a), mult(mult(b, a), mult(c, a)))),
% 6.64/6.80 inference(unit_resolution,[status(thm)],[8008, 16991])).
% 6.64/6.80 tff(16993,plain,
% 6.64/6.80 (mult(mult(mult(b, a), c), mult(mult(b, a), a)) = mult(mult(b, mult(c, a)), mult(mult(b, a), a))),
% 6.64/6.80 inference(monotonicity,[status(thm)],[3427])).
% 6.64/6.80 tff(16994,assumption,(mult(mult(c, mult(b, a)), a) = mult(c, mult(mult(b, a), a))), introduced(assumption)).
% 6.64/6.80 tff(16995,assumption,(mult(mult(mult(b, a), a), mult(mult(c, b), a)) = mult(mult(b, a), mult(mult(mult(c, b), a), a))), introduced(assumption)).
% 6.64/6.80 tff(16996,plain,
% 6.64/6.80 (mult(mult(b, a), mult(mult(mult(b, a), a), c)) = mult(mult(b, a), mult(mult(b, a), mult(c, a)))),
% 6.64/6.80 inference(monotonicity,[status(thm)],[8333])).
% 6.64/6.80 tff(16997,plain,
% 6.64/6.80 (mult(mult(b, a), mult(mult(b, a), mult(c, a))) = mult(mult(b, a), mult(mult(mult(b, a), a), c))),
% 6.64/6.80 inference(symmetry,[status(thm)],[16996])).
% 6.64/6.80 tff(16998,plain,
% 6.64/6.80 (mult(mult(mult(b, a), a), mult(mult(c, b), a)) = mult(mult(mult(b, a), a), mult(c, mult(b, a)))),
% 6.64/6.80 inference(monotonicity,[status(thm)],[533])).
% 6.64/6.80 tff(16999,plain,
% 6.64/6.80 (mult(mult(b, a), mult(mult(mult(c, b), a), a)) = mult(mult(mult(b, a), a), mult(mult(c, b), a))),
% 6.64/6.80 inference(symmetry,[status(thm)],[16995])).
% 6.64/6.80 tff(17000,plain,
% 6.64/6.80 (mult(mult(mult(c, b), a), a) = mult(mult(c, mult(b, a)), a)),
% 6.64/6.80 inference(monotonicity,[status(thm)],[533])).
% 6.64/6.80 tff(17001,plain,
% 6.64/6.80 (mult(mult(c, mult(b, a)), a) = mult(mult(mult(c, b), a), a)),
% 6.64/6.80 inference(symmetry,[status(thm)],[17000])).
% 6.64/6.80 tff(17002,plain,
% 6.64/6.80 (mult(c, mult(mult(b, a), a)) = mult(mult(c, mult(b, a)), a)),
% 6.64/6.80 inference(symmetry,[status(thm)],[16994])).
% 6.64/6.80 tff(17003,plain,
% 6.64/6.80 (mult(c, mult(mult(b, a), a)) = mult(mult(mult(c, b), a), a)),
% 6.64/6.80 inference(transitivity,[status(thm)],[17002, 17001])).
% 6.64/6.80 tff(17004,plain,
% 6.64/6.80 (mult(mult(b, a), mult(c, mult(mult(b, a), a))) = mult(mult(b, a), mult(mult(mult(c, b), a), a))),
% 6.64/6.80 inference(monotonicity,[status(thm)],[17003])).
% 6.64/6.80 tff(17005,plain,
% 6.64/6.80 (mult(mult(b, a), mult(c, mult(mult(b, a), a))) = mult(mult(b, a), mult(mult(mult(b, a), a), c))),
% 6.64/6.80 inference(transitivity,[status(thm)],[17004, 16999, 16998, 16979, 16898, 16910, 16997])).
% 6.64/6.80 tff(17006,plain,
% 6.64/6.80 ((mult(mult(mult(b, a), c), mult(mult(b, a), a)) = mult(mult(b, a), mult(c, mult(mult(b, a), a)))) <=> (mult(mult(mult(b, a), c), mult(mult(b, a), a)) = mult(mult(b, a), mult(mult(mult(b, a), a), c)))),
% 6.64/6.80 inference(monotonicity,[status(thm)],[17005])).
% 6.64/6.80 tff(17007,plain,
% 6.64/6.80 ((mult(mult(mult(b, a), c), mult(mult(b, a), a)) = mult(mult(b, a), mult(mult(mult(b, a), a), c))) <=> (mult(mult(mult(b, a), c), mult(mult(b, a), a)) = mult(mult(b, a), mult(c, mult(mult(b, a), a))))),
% 6.64/6.80 inference(symmetry,[status(thm)],[17006])).
% 6.64/6.80 tff(17008,assumption,(~(mult(mult(mult(b, a), c), mult(mult(b, a), a)) = mult(mult(b, a), mult(c, mult(mult(b, a), a))))), introduced(assumption)).
% 6.64/6.80 tff(17009,plain,
% 6.64/6.80 (((~(mult(mult(mult(b, a), mult(mult(b, a), a)), c) = mult(mult(b, a), mult(mult(mult(b, a), a), c)))) | (~(mult(mult(mult(b, a), c), mult(mult(b, a), a)) = mult(mult(b, a), mult(c, mult(mult(b, a), a)))))) | (mult(mult(mult(b, a), c), mult(mult(b, a), a)) = mult(mult(b, a), mult(c, mult(mult(b, a), a))))),
% 6.64/6.80 inference(tautology,[status(thm)],[])).
% 6.64/6.80 tff(17010,plain,
% 6.64/6.80 ((~(mult(mult(mult(b, a), mult(mult(b, a), a)), c) = mult(mult(b, a), mult(mult(mult(b, a), a), c)))) | (~(mult(mult(mult(b, a), c), mult(mult(b, a), a)) = mult(mult(b, a), mult(c, mult(mult(b, a), a)))))),
% 6.64/6.80 inference(unit_resolution,[status(thm)],[17009, 17008])).
% 6.64/6.80 tff(17011,plain,
% 6.64/6.80 (((~![X0: $i, X1: $i, X2: $i] : ((~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X2, X1)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X1, X2)))))) | (~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X1, X2)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X2, X1)))))))) | ((~((~(mult(mult(mult(b, a), mult(mult(b, a), a)), c) = mult(mult(b, a), mult(c, mult(mult(b, a), a))))) | (~(mult(mult(mult(b, a), c), mult(mult(b, a), a)) = mult(mult(b, a), mult(mult(mult(b, a), a), c)))))) | (~((~(mult(mult(mult(b, a), mult(mult(b, a), a)), c) = mult(mult(b, a), mult(mult(mult(b, a), a), c)))) | (~(mult(mult(mult(b, a), c), mult(mult(b, a), a)) = mult(mult(b, a), mult(c, mult(mult(b, a), a))))))))) <=> ((~![X0: $i, X1: $i, X2: $i] : ((~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X2, X1)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X1, X2)))))) | (~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X1, X2)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X2, X1)))))))) | (~((~(mult(mult(mult(b, a), mult(mult(b, a), a)), c) = mult(mult(b, a), mult(c, mult(mult(b, a), a))))) | (~(mult(mult(mult(b, a), c), mult(mult(b, a), a)) = mult(mult(b, a), mult(mult(mult(b, a), a), c)))))) | (~((~(mult(mult(mult(b, a), mult(mult(b, a), a)), c) = mult(mult(b, a), mult(mult(mult(b, a), a), c)))) | (~(mult(mult(mult(b, a), c), mult(mult(b, a), a)) = mult(mult(b, a), mult(c, mult(mult(b, a), a))))))))),
% 6.64/6.80 inference(rewrite,[status(thm)],[])).
% 6.64/6.80 tff(17012,plain,
% 6.64/6.80 ((~![X0: $i, X1: $i, X2: $i] : ((~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X2, X1)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X1, X2)))))) | (~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X1, X2)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X2, X1)))))))) | ((~((~(mult(mult(mult(b, a), mult(mult(b, a), a)), c) = mult(mult(b, a), mult(c, mult(mult(b, a), a))))) | (~(mult(mult(mult(b, a), c), mult(mult(b, a), a)) = mult(mult(b, a), mult(mult(mult(b, a), a), c)))))) | (~((~(mult(mult(mult(b, a), mult(mult(b, a), a)), c) = mult(mult(b, a), mult(mult(mult(b, a), a), c)))) | (~(mult(mult(mult(b, a), c), mult(mult(b, a), a)) = mult(mult(b, a), mult(c, mult(mult(b, a), a))))))))),
% 6.64/6.80 inference(quant_inst,[status(thm)],[])).
% 6.64/6.80 tff(17013,plain,
% 6.64/6.80 ((~![X0: $i, X1: $i, X2: $i] : ((~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X2, X1)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X1, X2)))))) | (~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X1, X2)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X2, X1)))))))) | (~((~(mult(mult(mult(b, a), mult(mult(b, a), a)), c) = mult(mult(b, a), mult(c, mult(mult(b, a), a))))) | (~(mult(mult(mult(b, a), c), mult(mult(b, a), a)) = mult(mult(b, a), mult(mult(mult(b, a), a), c)))))) | (~((~(mult(mult(mult(b, a), mult(mult(b, a), a)), c) = mult(mult(b, a), mult(mult(mult(b, a), a), c)))) | (~(mult(mult(mult(b, a), c), mult(mult(b, a), a)) = mult(mult(b, a), mult(c, mult(mult(b, a), a)))))))),
% 6.64/6.80 inference(modus_ponens,[status(thm)],[17012, 17011])).
% 6.64/6.80 tff(17014,plain,
% 6.64/6.80 ((~((~(mult(mult(mult(b, a), mult(mult(b, a), a)), c) = mult(mult(b, a), mult(c, mult(mult(b, a), a))))) | (~(mult(mult(mult(b, a), c), mult(mult(b, a), a)) = mult(mult(b, a), mult(mult(mult(b, a), a), c)))))) | (~((~(mult(mult(mult(b, a), mult(mult(b, a), a)), c) = mult(mult(b, a), mult(mult(mult(b, a), a), c)))) | (~(mult(mult(mult(b, a), c), mult(mult(b, a), a)) = mult(mult(b, a), mult(c, mult(mult(b, a), a)))))))),
% 6.64/6.80 inference(unit_resolution,[status(thm)],[17013, 30])).
% 6.64/6.80 tff(17015,plain,
% 6.64/6.80 (~((~(mult(mult(mult(b, a), mult(mult(b, a), a)), c) = mult(mult(b, a), mult(c, mult(mult(b, a), a))))) | (~(mult(mult(mult(b, a), c), mult(mult(b, a), a)) = mult(mult(b, a), mult(mult(mult(b, a), a), c)))))),
% 6.64/6.80 inference(unit_resolution,[status(thm)],[17014, 17010])).
% 6.64/6.80 tff(17016,plain,
% 6.64/6.80 (((~(mult(mult(mult(b, a), mult(mult(b, a), a)), c) = mult(mult(b, a), mult(c, mult(mult(b, a), a))))) | (~(mult(mult(mult(b, a), c), mult(mult(b, a), a)) = mult(mult(b, a), mult(mult(mult(b, a), a), c))))) | (mult(mult(mult(b, a), c), mult(mult(b, a), a)) = mult(mult(b, a), mult(mult(mult(b, a), a), c)))),
% 6.64/6.80 inference(tautology,[status(thm)],[])).
% 6.64/6.80 tff(17017,plain,
% 6.64/6.80 (mult(mult(mult(b, a), c), mult(mult(b, a), a)) = mult(mult(b, a), mult(mult(mult(b, a), a), c))),
% 6.64/6.80 inference(unit_resolution,[status(thm)],[17016, 17015])).
% 6.64/6.80 tff(17018,plain,
% 6.64/6.80 (mult(mult(mult(b, a), c), mult(mult(b, a), a)) = mult(mult(b, a), mult(c, mult(mult(b, a), a)))),
% 6.64/6.80 inference(modus_ponens,[status(thm)],[17017, 17007])).
% 6.64/6.80 tff(17019,plain,
% 6.64/6.80 ($false),
% 6.64/6.80 inference(unit_resolution,[status(thm)],[17008, 17018])).
% 6.64/6.80 tff(17020,plain,((mult(mult(mult(b, a), c), mult(mult(b, a), a)) = mult(mult(b, a), mult(c, mult(mult(b, a), a)))) | (~(mult(mult(mult(b, a), a), mult(mult(c, b), a)) = mult(mult(b, a), mult(mult(mult(c, b), a), a)))) | (~(mult(mult(mult(mult(b, a), a), c), mult(b, a)) = mult(mult(mult(b, a), a), mult(c, mult(b, a))))) | (~(mult(mult(mult(b, a), mult(c, a)), mult(b, a)) = mult(mult(b, a), mult(mult(b, a), mult(c, a))))) | (~(mult(mult(c, b), a) = mult(c, mult(b, a)))) | (~(mult(mult(c, mult(b, a)), a) = mult(c, mult(mult(b, a), a))))), inference(lemma,lemma(discharge,[]))).
% 6.64/6.80 tff(17021,plain,
% 6.64/6.80 (mult(mult(mult(b, a), c), mult(mult(b, a), a)) = mult(mult(b, a), mult(c, mult(mult(b, a), a)))),
% 6.64/6.80 inference(unit_resolution,[status(thm)],[17020, 16995, 16949, 16910, 533, 16994])).
% 6.64/6.80 tff(17022,plain,
% 6.64/6.80 (mult(mult(b, a), mult(c, mult(mult(b, a), a))) = mult(mult(mult(b, a), c), mult(mult(b, a), a))),
% 6.64/6.80 inference(symmetry,[status(thm)],[17021])).
% 6.64/6.80 tff(17023,plain,
% 6.64/6.80 (mult(mult(mult(c, b), a), a) = mult(c, mult(mult(b, a), a))),
% 6.64/6.80 inference(transitivity,[status(thm)],[17000, 16994])).
% 6.64/6.80 tff(17024,plain,
% 6.64/6.80 (mult(mult(b, a), mult(mult(mult(c, b), a), a)) = mult(mult(b, a), mult(c, mult(mult(b, a), a)))),
% 6.64/6.80 inference(monotonicity,[status(thm)],[17023])).
% 6.64/6.80 tff(17025,plain,
% 6.64/6.80 (mult(mult(mult(b, a), a), mult(c, mult(b, a))) = mult(mult(mult(b, a), a), mult(mult(c, b), a))),
% 6.64/6.80 inference(monotonicity,[status(thm)],[1062])).
% 6.64/6.80 tff(17026,plain,
% 6.64/6.80 (mult(mult(b, a), mult(mult(b, a), mult(c, a))) = mult(mult(mult(b, a), mult(c, a)), mult(b, a))),
% 6.64/6.80 inference(symmetry,[status(thm)],[16910])).
% 6.64/6.80 tff(17027,plain,
% 6.64/6.80 (mult(mult(b, a), mult(mult(b, a), mult(c, a))) = mult(mult(b, a), mult(mult(b, a), mult(a, c)))),
% 6.64/6.80 inference(transitivity,[status(thm)],[17026, 16354, 16949, 17025, 16995, 17024, 17022, 16993, 7955, 3534, 8734])).
% 6.64/6.81 tff(17028,plain,
% 6.64/6.81 (ld(mult(b, a), mult(mult(b, a), mult(mult(b, a), mult(c, a)))) = ld(mult(b, a), mult(mult(b, a), mult(mult(b, a), mult(a, c))))),
% 6.64/6.81 inference(monotonicity,[status(thm)],[17027])).
% 6.64/6.81 tff(17029,plain,
% 6.64/6.81 (ld(mult(b, a), mult(mult(b, a), mult(mult(b, a), mult(a, c)))) = ld(mult(b, a), mult(mult(b, a), mult(mult(b, a), mult(c, a))))),
% 6.64/6.81 inference(symmetry,[status(thm)],[17028])).
% 6.64/6.81 tff(17030,plain,
% 6.64/6.81 (mult(mult(mult(b, a), c), a) = mult(mult(b, a), mult(c, a))),
% 6.64/6.81 inference(transitivity,[status(thm)],[3530, 11270, 17029, 16009])).
% 6.64/6.81 tff(17031,plain,
% 6.64/6.81 ($false),
% 6.64/6.81 inference(unit_resolution,[status(thm)],[14297, 17030])).
% 6.64/6.81 tff(17032,plain,((~(mult(mult(mult(b, a), a), mult(mult(c, b), a)) = mult(mult(b, a), mult(mult(mult(c, b), a), a)))) | (mult(mult(mult(b, a), c), a) = mult(mult(b, a), mult(c, a))) | (~(mult(mult(mult(b, a), mult(c, a)), mult(b, a)) = mult(mult(b, a), mult(mult(b, a), mult(c, a))))) | (~(mult(mult(mult(mult(b, a), a), c), mult(b, a)) = mult(mult(mult(b, a), a), mult(c, mult(b, a))))) | (~(mult(mult(mult(b, mult(c, a)), a), mult(b, a)) = mult(mult(b, mult(c, a)), mult(mult(b, a), a)))) | (~(mult(mult(mult(b, a), mult(a, c)), mult(b, a)) = mult(mult(b, a), mult(mult(b, a), mult(a, c))))) | (~(mult(mult(c, mult(b, a)), a) = mult(c, mult(mult(b, a), a)))) | (~(mult(mult(c, b), a) = mult(c, mult(b, a))))), inference(lemma,lemma(discharge,[]))).
% 6.64/6.81 tff(17033,plain,
% 6.64/6.81 (~(mult(mult(mult(b, a), a), mult(mult(c, b), a)) = mult(mult(b, a), mult(mult(mult(c, b), a), a)))),
% 6.64/6.81 inference(unit_resolution,[status(thm)],[17032, 16992, 16342, 16949, 10916, 16941, 16937, 16940])).
% 6.64/6.81 tff(17034,plain,
% 6.64/6.81 (((~(mult(mult(mult(b, a), a), mult(mult(c, b), a)) = mult(mult(b, a), mult(mult(mult(c, b), a), a)))) | (~(mult(mult(mult(b, a), mult(mult(c, b), a)), a) = mult(mult(b, a), mult(a, mult(mult(c, b), a)))))) | (mult(mult(mult(b, a), a), mult(mult(c, b), a)) = mult(mult(b, a), mult(mult(mult(c, b), a), a)))),
% 6.64/6.81 inference(tautology,[status(thm)],[])).
% 6.64/6.81 tff(17035,plain,
% 6.64/6.81 ((~(mult(mult(mult(b, a), a), mult(mult(c, b), a)) = mult(mult(b, a), mult(mult(mult(c, b), a), a)))) | (~(mult(mult(mult(b, a), mult(mult(c, b), a)), a) = mult(mult(b, a), mult(a, mult(mult(c, b), a)))))),
% 6.64/6.81 inference(unit_resolution,[status(thm)],[17034, 17033])).
% 6.64/6.81 tff(17036,plain,
% 6.64/6.81 (((~![X0: $i, X1: $i, X2: $i] : ((~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X2, X1)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X1, X2)))))) | (~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X1, X2)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X2, X1)))))))) | ((~((~(mult(mult(mult(b, a), a), mult(mult(c, b), a)) = mult(mult(b, a), mult(mult(mult(c, b), a), a)))) | (~(mult(mult(mult(b, a), mult(mult(c, b), a)), a) = mult(mult(b, a), mult(a, mult(mult(c, b), a))))))) | (~((~(mult(mult(mult(b, a), a), mult(mult(c, b), a)) = mult(mult(b, a), mult(a, mult(mult(c, b), a))))) | (~(mult(mult(mult(b, a), mult(mult(c, b), a)), a) = mult(mult(b, a), mult(mult(mult(c, b), a), a)))))))) <=> ((~![X0: $i, X1: $i, X2: $i] : ((~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X2, X1)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X1, X2)))))) | (~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X1, X2)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X2, X1)))))))) | (~((~(mult(mult(mult(b, a), a), mult(mult(c, b), a)) = mult(mult(b, a), mult(mult(mult(c, b), a), a)))) | (~(mult(mult(mult(b, a), mult(mult(c, b), a)), a) = mult(mult(b, a), mult(a, mult(mult(c, b), a))))))) | (~((~(mult(mult(mult(b, a), a), mult(mult(c, b), a)) = mult(mult(b, a), mult(a, mult(mult(c, b), a))))) | (~(mult(mult(mult(b, a), mult(mult(c, b), a)), a) = mult(mult(b, a), mult(mult(mult(c, b), a), a)))))))),
% 6.64/6.81 inference(rewrite,[status(thm)],[])).
% 6.64/6.81 tff(17037,plain,
% 6.64/6.81 ((~![X0: $i, X1: $i, X2: $i] : ((~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X2, X1)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X1, X2)))))) | (~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X1, X2)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X2, X1)))))))) | ((~((~(mult(mult(mult(b, a), a), mult(mult(c, b), a)) = mult(mult(b, a), mult(mult(mult(c, b), a), a)))) | (~(mult(mult(mult(b, a), mult(mult(c, b), a)), a) = mult(mult(b, a), mult(a, mult(mult(c, b), a))))))) | (~((~(mult(mult(mult(b, a), a), mult(mult(c, b), a)) = mult(mult(b, a), mult(a, mult(mult(c, b), a))))) | (~(mult(mult(mult(b, a), mult(mult(c, b), a)), a) = mult(mult(b, a), mult(mult(mult(c, b), a), a)))))))),
% 6.64/6.81 inference(quant_inst,[status(thm)],[])).
% 6.64/6.81 tff(17038,plain,
% 6.64/6.81 ((~![X0: $i, X1: $i, X2: $i] : ((~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X2, X1)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X1, X2)))))) | (~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X1, X2)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X2, X1)))))))) | (~((~(mult(mult(mult(b, a), a), mult(mult(c, b), a)) = mult(mult(b, a), mult(mult(mult(c, b), a), a)))) | (~(mult(mult(mult(b, a), mult(mult(c, b), a)), a) = mult(mult(b, a), mult(a, mult(mult(c, b), a))))))) | (~((~(mult(mult(mult(b, a), a), mult(mult(c, b), a)) = mult(mult(b, a), mult(a, mult(mult(c, b), a))))) | (~(mult(mult(mult(b, a), mult(mult(c, b), a)), a) = mult(mult(b, a), mult(mult(mult(c, b), a), a))))))),
% 6.64/6.81 inference(modus_ponens,[status(thm)],[17037, 17036])).
% 6.64/6.81 tff(17039,plain,
% 6.64/6.81 ((~((~(mult(mult(mult(b, a), a), mult(mult(c, b), a)) = mult(mult(b, a), mult(mult(mult(c, b), a), a)))) | (~(mult(mult(mult(b, a), mult(mult(c, b), a)), a) = mult(mult(b, a), mult(a, mult(mult(c, b), a))))))) | (~((~(mult(mult(mult(b, a), a), mult(mult(c, b), a)) = mult(mult(b, a), mult(a, mult(mult(c, b), a))))) | (~(mult(mult(mult(b, a), mult(mult(c, b), a)), a) = mult(mult(b, a), mult(mult(mult(c, b), a), a))))))),
% 6.64/6.81 inference(unit_resolution,[status(thm)],[17038, 30])).
% 6.64/6.81 tff(17040,plain,
% 6.64/6.81 (~((~(mult(mult(mult(b, a), a), mult(mult(c, b), a)) = mult(mult(b, a), mult(a, mult(mult(c, b), a))))) | (~(mult(mult(mult(b, a), mult(mult(c, b), a)), a) = mult(mult(b, a), mult(mult(mult(c, b), a), a)))))),
% 6.64/6.81 inference(unit_resolution,[status(thm)],[17039, 17035])).
% 6.64/6.81 tff(17041,plain,
% 6.64/6.81 (((~(mult(mult(mult(b, a), a), mult(mult(c, b), a)) = mult(mult(b, a), mult(a, mult(mult(c, b), a))))) | (~(mult(mult(mult(b, a), mult(mult(c, b), a)), a) = mult(mult(b, a), mult(mult(mult(c, b), a), a))))) | (mult(mult(mult(b, a), a), mult(mult(c, b), a)) = mult(mult(b, a), mult(a, mult(mult(c, b), a))))),
% 6.64/6.81 inference(tautology,[status(thm)],[])).
% 6.64/6.81 tff(17042,plain,
% 6.64/6.81 (mult(mult(mult(b, a), a), mult(mult(c, b), a)) = mult(mult(b, a), mult(a, mult(mult(c, b), a)))),
% 6.64/6.81 inference(unit_resolution,[status(thm)],[17041, 17040])).
% 6.64/6.81 tff(17043,plain,
% 6.64/6.81 (mult(mult(mult(b, a), a), mult(mult(c, b), a)) = mult(mult(mult(b, a), a), mult(c, mult(b, a)))),
% 6.64/6.81 inference(monotonicity,[status(thm)],[16940])).
% 6.64/6.81 tff(17044,plain,
% 6.64/6.81 (mult(mult(mult(b, a), a), mult(c, mult(b, a))) = mult(mult(mult(b, a), a), mult(mult(c, b), a))),
% 6.64/6.81 inference(symmetry,[status(thm)],[17043])).
% 6.64/6.81 tff(17045,plain,
% 6.64/6.81 (mult(mult(b, a), mult(mult(b, a), mult(c, a))) = mult(mult(mult(b, a), mult(c, a)), mult(b, a))),
% 6.64/6.81 inference(symmetry,[status(thm)],[16992])).
% 6.64/6.81 tff(17046,plain,
% 6.64/6.81 (mult(mult(b, a), mult(mult(b, a), mult(c, a))) = mult(mult(b, a), mult(mult(a, mult(c, b)), a))),
% 6.64/6.81 inference(transitivity,[status(thm)],[17045, 16928, 16949, 17044, 17042, 16948, 16945])).
% 6.64/6.81 tff(17047,plain,
% 6.64/6.81 (ld(mult(b, a), mult(mult(b, a), mult(mult(b, a), mult(c, a)))) = ld(mult(b, a), mult(mult(b, a), mult(mult(a, mult(c, b)), a)))),
% 6.64/6.81 inference(monotonicity,[status(thm)],[17046])).
% 6.64/6.81 tff(17048,plain,
% 6.64/6.81 (ld(mult(b, a), mult(mult(b, a), mult(mult(a, mult(c, b)), a))) = ld(mult(b, a), mult(mult(b, a), mult(mult(b, a), mult(c, a))))),
% 6.64/6.81 inference(symmetry,[status(thm)],[17047])).
% 6.64/6.81 tff(17049,plain,
% 6.64/6.81 ((~![B: $i, A: $i] : (ld(A, mult(A, B)) = B)) | (ld(mult(b, a), mult(mult(b, a), mult(mult(c, b), a))) = mult(mult(c, b), a))),
% 6.64/6.81 inference(quant_inst,[status(thm)],[])).
% 6.64/6.81 tff(17050,plain,
% 6.64/6.81 (ld(mult(b, a), mult(mult(b, a), mult(mult(c, b), a))) = mult(mult(c, b), a)),
% 6.64/6.81 inference(unit_resolution,[status(thm)],[17049, 9])).
% 6.64/6.81 tff(17051,plain,
% 6.64/6.81 (mult(mult(b, a), mult(mult(b, mult(c, a)), a)) = mult(mult(mult(b, a), mult(b, mult(c, a))), a)),
% 6.64/6.81 inference(symmetry,[status(thm)],[16951])).
% 6.64/6.81 tff(17052,plain,
% 6.64/6.81 (mult(mult(b, a), mult(mult(b, a), mult(a, c))) = mult(mult(b, a), mult(mult(b, mult(c, a)), a))),
% 6.64/6.81 inference(symmetry,[status(thm)],[14242])).
% 6.64/6.81 tff(17053,plain,
% 6.64/6.81 (mult(mult(b, a), mult(mult(mult(b, a), a), c)) = mult(mult(b, a), mult(mult(a, c), mult(b, a)))),
% 6.64/6.81 inference(transitivity,[status(thm)],[16996, 17045, 16928, 16949, 17044, 17042, 16948])).
% 6.64/6.81 tff(17054,plain,
% 6.64/6.81 (mult(mult(mult(b, a), c), mult(mult(b, a), a)) = mult(mult(mult(b, a), mult(a, c)), mult(b, a))),
% 6.64/6.81 inference(transitivity,[status(thm)],[16993, 13898, 3534])).
% 6.64/6.81 tff(17055,plain,
% 6.64/6.81 ((mult(mult(mult(b, a), c), mult(mult(b, a), a)) = mult(mult(b, a), mult(mult(mult(b, a), a), c))) <=> (mult(mult(mult(b, a), mult(a, c)), mult(b, a)) = mult(mult(b, a), mult(mult(a, c), mult(b, a))))),
% 6.64/6.81 inference(monotonicity,[status(thm)],[17054, 17053])).
% 6.64/6.81 tff(17056,plain,
% 6.64/6.81 ((mult(mult(mult(b, a), mult(a, c)), mult(b, a)) = mult(mult(b, a), mult(mult(a, c), mult(b, a)))) <=> (mult(mult(mult(b, a), c), mult(mult(b, a), a)) = mult(mult(b, a), mult(mult(mult(b, a), a), c)))),
% 6.64/6.81 inference(symmetry,[status(thm)],[17055])).
% 6.64/6.81 tff(17057,plain,
% 6.64/6.81 ((~(mult(mult(mult(b, a), mult(a, c)), mult(b, a)) = mult(mult(b, a), mult(mult(a, c), mult(b, a))))) <=> (~(mult(mult(mult(b, a), c), mult(mult(b, a), a)) = mult(mult(b, a), mult(mult(mult(b, a), a), c))))),
% 6.64/6.81 inference(monotonicity,[status(thm)],[17056])).
% 6.64/6.81 tff(17058,plain,
% 6.64/6.81 (~(mult(mult(mult(b, a), c), mult(mult(b, a), a)) = mult(mult(b, a), mult(mult(mult(b, a), a), c)))),
% 6.64/6.81 inference(modus_ponens,[status(thm)],[13224, 17057])).
% 6.64/6.81 tff(17059,plain,
% 6.64/6.81 ((~(mult(mult(mult(b, a), mult(mult(b, a), a)), c) = mult(mult(b, a), mult(c, mult(mult(b, a), a))))) | (~(mult(mult(mult(b, a), c), mult(mult(b, a), a)) = mult(mult(b, a), mult(mult(mult(b, a), a), c))))),
% 6.64/6.81 inference(unit_resolution,[status(thm)],[17016, 17058])).
% 6.64/6.81 tff(17060,plain,
% 6.64/6.81 (~((~(mult(mult(mult(b, a), mult(mult(b, a), a)), c) = mult(mult(b, a), mult(mult(mult(b, a), a), c)))) | (~(mult(mult(mult(b, a), c), mult(mult(b, a), a)) = mult(mult(b, a), mult(c, mult(mult(b, a), a))))))),
% 6.64/6.81 inference(unit_resolution,[status(thm)],[17014, 17059])).
% 6.64/6.81 tff(17061,plain,
% 6.64/6.81 (mult(mult(mult(b, a), c), mult(mult(b, a), a)) = mult(mult(b, a), mult(c, mult(mult(b, a), a)))),
% 6.64/6.81 inference(unit_resolution,[status(thm)],[17009, 17060])).
% 6.64/6.81 tff(17062,plain,
% 6.64/6.81 (mult(mult(b, a), mult(c, mult(mult(b, a), a))) = mult(mult(mult(b, a), c), mult(mult(b, a), a))),
% 6.64/6.81 inference(symmetry,[status(thm)],[17061])).
% 6.64/6.81 tff(17063,plain,
% 6.64/6.81 (mult(c, mult(b, a)) = mult(mult(c, b), a)),
% 6.64/6.81 inference(symmetry,[status(thm)],[16940])).
% 6.64/6.81 tff(17064,plain,
% 6.64/6.81 (mult(mult(c, mult(b, a)), a) = mult(mult(mult(c, b), a), a)),
% 6.64/6.81 inference(monotonicity,[status(thm)],[17063])).
% 6.64/6.81 tff(17065,plain,
% 6.64/6.81 (mult(mult(mult(c, b), a), a) = mult(mult(c, mult(b, a)), a)),
% 6.64/6.81 inference(symmetry,[status(thm)],[17064])).
% 6.64/6.81 tff(17066,plain,
% 6.64/6.81 (mult(mult(mult(c, b), a), a) = mult(c, mult(mult(b, a), a))),
% 6.64/6.81 inference(transitivity,[status(thm)],[17065, 16937])).
% 6.64/6.81 tff(17067,plain,
% 6.64/6.81 (mult(mult(b, a), mult(mult(mult(c, b), a), a)) = mult(mult(b, a), mult(c, mult(mult(b, a), a)))),
% 6.64/6.81 inference(monotonicity,[status(thm)],[17066])).
% 6.64/6.81 tff(17068,plain,
% 6.64/6.81 (((~(mult(mult(mult(b, a), a), mult(mult(c, b), a)) = mult(mult(b, a), mult(a, mult(mult(c, b), a))))) | (~(mult(mult(mult(b, a), mult(mult(c, b), a)), a) = mult(mult(b, a), mult(mult(mult(c, b), a), a))))) | (mult(mult(mult(b, a), mult(mult(c, b), a)), a) = mult(mult(b, a), mult(mult(mult(c, b), a), a)))),
% 6.64/6.81 inference(tautology,[status(thm)],[])).
% 6.64/6.81 tff(17069,plain,
% 6.64/6.81 (mult(mult(mult(b, a), mult(mult(c, b), a)), a) = mult(mult(b, a), mult(mult(mult(c, b), a), a))),
% 6.64/6.81 inference(unit_resolution,[status(thm)],[17068, 17040])).
% 6.64/6.81 tff(17070,plain,
% 6.64/6.81 (mult(mult(mult(b, a), mult(mult(c, b), a)), a) = mult(mult(mult(b, a), mult(b, mult(c, a))), a)),
% 6.64/6.81 inference(transitivity,[status(thm)],[17069, 17067, 17062, 16993, 13898, 3534, 16941, 17052, 17051])).
% 6.64/6.81 tff(17071,plain,
% 6.64/6.81 (rd(mult(mult(mult(b, a), mult(mult(c, b), a)), a), a) = rd(mult(mult(mult(b, a), mult(b, mult(c, a))), a), a)),
% 6.64/6.81 inference(monotonicity,[status(thm)],[17070])).
% 6.64/6.81 tff(17072,plain,
% 6.64/6.81 ((~![B: $i, A: $i] : (rd(mult(A, B), B) = A)) | (rd(mult(mult(mult(b, a), mult(mult(c, b), a)), a), a) = mult(mult(b, a), mult(mult(c, b), a)))),
% 6.64/6.81 inference(quant_inst,[status(thm)],[])).
% 6.64/6.81 tff(17073,plain,
% 6.64/6.81 (rd(mult(mult(mult(b, a), mult(mult(c, b), a)), a), a) = mult(mult(b, a), mult(mult(c, b), a))),
% 6.64/6.81 inference(unit_resolution,[status(thm)],[17072, 72])).
% 6.64/6.81 tff(17074,plain,
% 6.64/6.81 (mult(mult(b, a), mult(mult(c, b), a)) = rd(mult(mult(mult(b, a), mult(mult(c, b), a)), a), a)),
% 6.64/6.81 inference(symmetry,[status(thm)],[17073])).
% 6.64/6.81 tff(17075,plain,
% 6.64/6.81 (mult(mult(b, a), mult(mult(c, b), a)) = mult(mult(b, a), mult(b, mult(c, a)))),
% 6.64/6.81 inference(transitivity,[status(thm)],[17074, 17071, 13732])).
% 6.64/6.81 tff(17076,plain,
% 6.64/6.81 (ld(mult(b, a), mult(mult(b, a), mult(mult(c, b), a))) = ld(mult(b, a), mult(mult(b, a), mult(b, mult(c, a))))),
% 6.64/6.81 inference(monotonicity,[status(thm)],[17075])).
% 6.64/6.81 tff(17077,plain,
% 6.64/6.81 (ld(mult(b, a), mult(mult(b, a), mult(b, mult(c, a)))) = ld(mult(b, a), mult(mult(b, a), mult(mult(c, b), a)))),
% 6.64/6.81 inference(symmetry,[status(thm)],[17076])).
% 6.64/6.81 tff(17078,plain,
% 6.64/6.81 ((~![B: $i, A: $i] : (ld(A, mult(A, B)) = B)) | (ld(mult(b, a), mult(mult(b, a), mult(b, mult(c, a)))) = mult(b, mult(c, a)))),
% 6.64/6.81 inference(quant_inst,[status(thm)],[])).
% 6.64/6.81 tff(17079,plain,
% 6.64/6.81 (ld(mult(b, a), mult(mult(b, a), mult(b, mult(c, a)))) = mult(b, mult(c, a))),
% 6.64/6.81 inference(unit_resolution,[status(thm)],[17078, 9])).
% 6.64/6.81 tff(17080,plain,
% 6.64/6.81 (mult(b, mult(c, a)) = ld(mult(b, a), mult(mult(b, a), mult(b, mult(c, a))))),
% 6.64/6.81 inference(symmetry,[status(thm)],[17079])).
% 6.64/6.81 tff(17081,plain,
% 6.64/6.81 (mult(b, mult(c, a)) = mult(mult(c, b), a)),
% 6.64/6.81 inference(transitivity,[status(thm)],[17080, 17077, 17050])).
% 6.64/6.81 tff(17082,plain,
% 6.64/6.81 (mult(a, mult(b, mult(c, a))) = mult(a, mult(mult(c, b), a))),
% 6.64/6.81 inference(monotonicity,[status(thm)],[17081])).
% 6.64/6.81 tff(17083,plain,
% 6.64/6.81 (mult(mult(a, b), mult(c, a)) = mult(mult(b, a), mult(c, a))),
% 6.64/6.81 inference(transitivity,[status(thm)],[9223, 15154, 15803, 4878, 17082, 8206, 16607, 17048, 16009])).
% 6.64/6.81 tff(17084,plain,
% 6.64/6.81 (rd(mult(mult(a, b), mult(c, a)), mult(c, a)) = rd(mult(mult(b, a), mult(c, a)), mult(c, a))),
% 6.64/6.81 inference(monotonicity,[status(thm)],[17083])).
% 6.64/6.81 tff(17085,plain,
% 6.64/6.81 (mult(a, b) = mult(b, a)),
% 6.64/6.81 inference(transitivity,[status(thm)],[16402, 17084, 16338])).
% 6.64/6.81 tff(17086,plain,
% 6.64/6.81 ($false),
% 6.64/6.81 inference(unit_resolution,[status(thm)],[1, 17085])).
% 6.64/6.81 tff(17087,plain,((~(mult(mult(mult(b, a), mult(b, mult(c, a))), a) = mult(mult(b, a), mult(mult(b, mult(c, a)), a)))) | (mult(a, b) = mult(b, a)) | (~(mult(mult(mult(mult(b, a), a), c), mult(b, a)) = mult(mult(mult(b, a), a), mult(c, mult(b, a))))) | (mult(mult(mult(b, a), mult(a, c)), mult(b, a)) = mult(mult(b, a), mult(mult(a, c), mult(b, a)))) | (~(mult(mult(mult(b, a), c), mult(mult(a, b), a)) = mult(mult(b, a), mult(c, mult(mult(a, b), a))))) | (~(mult(mult(mult(mult(b, a), mult(a, c)), b), a) = mult(mult(mult(b, a), mult(a, c)), mult(a, b)))) | (mult(mult(mult(b, mult(c, a)), a), mult(b, a)) = mult(mult(b, mult(c, a)), mult(a, mult(b, a))))), inference(lemma,lemma(discharge,[]))).
% 6.64/6.81 tff(17088,plain,
% 6.64/6.81 (~(mult(mult(mult(b, a), mult(b, mult(c, a))), a) = mult(mult(b, a), mult(mult(b, mult(c, a)), a)))),
% 6.64/6.81 inference(unit_resolution,[status(thm)],[17087, 16942, 1, 13224, 15835, 11316, 10726])).
% 6.64/6.81 tff(17089,plain,
% 6.64/6.81 ((~(mult(mult(mult(b, a), a), mult(b, mult(c, a))) = mult(mult(b, a), mult(a, mult(b, mult(c, a)))))) | (~(mult(mult(mult(b, a), mult(b, mult(c, a))), a) = mult(mult(b, a), mult(mult(b, mult(c, a)), a))))),
% 6.64/6.81 inference(unit_resolution,[status(thm)],[14251, 17088])).
% 6.64/6.81 tff(17090,plain,
% 6.64/6.81 (~((~(mult(mult(mult(b, a), a), mult(b, mult(c, a))) = mult(mult(b, a), mult(mult(b, mult(c, a)), a)))) | (~(mult(mult(mult(b, a), mult(b, mult(c, a))), a) = mult(mult(b, a), mult(a, mult(b, mult(c, a)))))))),
% 6.64/6.81 inference(unit_resolution,[status(thm)],[16366, 17089])).
% 6.64/6.81 tff(17091,plain,
% 6.64/6.82 (mult(mult(mult(b, a), mult(b, mult(c, a))), a) = mult(mult(b, a), mult(a, mult(b, mult(c, a))))),
% 6.64/6.82 inference(unit_resolution,[status(thm)],[15005, 17090])).
% 6.64/6.82 tff(17092,plain,
% 6.64/6.82 (mult(mult(a, mult(b, mult(c, a))), a) = mult(mult(mult(mult(a, b), a), c), a)),
% 6.64/6.82 inference(monotonicity,[status(thm)],[16340])).
% 6.64/6.82 tff(17093,plain,
% 6.64/6.82 (mult(mult(mult(mult(a, b), a), c), a) = mult(mult(a, mult(b, mult(c, a))), a)),
% 6.64/6.82 inference(symmetry,[status(thm)],[17092])).
% 6.64/6.82 tff(17094,plain,
% 6.64/6.82 (mult(mult(mult(a, b), a), mult(a, c)) = mult(mult(a, mult(b, mult(c, a))), a)),
% 6.64/6.82 inference(transitivity,[status(thm)],[16004, 11097, 17093])).
% 6.64/6.82 tff(17095,plain,
% 6.64/6.82 (mult(b, mult(mult(mult(a, b), a), mult(a, c))) = mult(b, mult(mult(a, mult(b, mult(c, a))), a))),
% 6.64/6.82 inference(monotonicity,[status(thm)],[17094])).
% 6.64/6.82 tff(17096,plain,
% 6.64/6.82 (mult(b, mult(mult(a, b), mult(mult(a, c), a))) = mult(mult(b, a), mult(mult(mult(a, b), a), c))),
% 6.64/6.82 inference(transitivity,[status(thm)],[16959, 17095, 14695, 17091, 16341])).
% 6.64/6.82 tff(17097,plain,
% 6.64/6.82 ((mult(mult(b, mult(mult(a, c), a)), mult(a, b)) = mult(b, mult(mult(a, b), mult(mult(a, c), a)))) <=> (mult(mult(mult(b, a), c), mult(mult(a, b), a)) = mult(mult(b, a), mult(mult(mult(a, b), a), c)))),
% 6.64/6.82 inference(monotonicity,[status(thm)],[12018, 17096])).
% 6.64/6.82 tff(17098,plain,
% 6.64/6.82 ((mult(mult(mult(b, a), c), mult(mult(a, b), a)) = mult(mult(b, a), mult(mult(mult(a, b), a), c))) <=> (mult(mult(b, mult(mult(a, c), a)), mult(a, b)) = mult(b, mult(mult(a, b), mult(mult(a, c), a))))),
% 6.64/6.82 inference(symmetry,[status(thm)],[17097])).
% 6.64/6.82 tff(17099,plain,
% 6.64/6.82 ((~(mult(mult(mult(b, a), c), mult(mult(a, b), a)) = mult(mult(b, a), mult(mult(mult(a, b), a), c)))) <=> (~(mult(mult(b, mult(mult(a, c), a)), mult(a, b)) = mult(b, mult(mult(a, b), mult(mult(a, c), a)))))),
% 6.64/6.82 inference(monotonicity,[status(thm)],[17098])).
% 6.64/6.82 tff(17100,plain,
% 6.64/6.82 (~(mult(mult(b, mult(mult(a, c), a)), mult(a, b)) = mult(b, mult(mult(a, b), mult(mult(a, c), a))))),
% 6.64/6.82 inference(modus_ponens,[status(thm)],[15832, 17099])).
% 6.64/6.82 tff(17101,plain,
% 6.64/6.82 ((~(mult(mult(b, mult(a, b)), mult(mult(a, c), a)) = mult(b, mult(mult(mult(a, c), a), mult(a, b))))) | (~(mult(mult(b, mult(mult(a, c), a)), mult(a, b)) = mult(b, mult(mult(a, b), mult(mult(a, c), a)))))),
% 6.64/6.82 inference(unit_resolution,[status(thm)],[11530, 17100])).
% 6.64/6.82 tff(17102,plain,
% 6.64/6.82 (~((~(mult(mult(b, mult(a, b)), mult(mult(a, c), a)) = mult(b, mult(mult(a, b), mult(mult(a, c), a))))) | (~(mult(mult(b, mult(mult(a, c), a)), mult(a, b)) = mult(b, mult(mult(mult(a, c), a), mult(a, b))))))),
% 6.64/6.82 inference(unit_resolution,[status(thm)],[11528, 17101])).
% 6.64/6.82 tff(17103,plain,
% 6.64/6.82 (mult(mult(b, mult(mult(a, c), a)), mult(a, b)) = mult(b, mult(mult(mult(a, c), a), mult(a, b)))),
% 6.64/6.82 inference(unit_resolution,[status(thm)],[11520, 17102])).
% 6.64/6.82 tff(17104,plain,
% 6.64/6.82 (~(mult(mult(mult(b, a), mult(mult(c, a), b)), a) = mult(mult(b, a), mult(mult(mult(c, a), b), a)))),
% 6.64/6.82 inference(unit_resolution,[status(thm)],[16854, 17103, 15835, 1, 11316])).
% 6.64/6.82 tff(17105,plain,
% 6.64/6.82 ((~(mult(mult(mult(b, a), mult(mult(c, a), b)), a) = mult(mult(b, a), mult(mult(mult(c, a), b), a)))) | (~(mult(mult(mult(b, a), a), mult(mult(c, a), b)) = mult(mult(b, a), mult(a, mult(mult(c, a), b)))))),
% 6.64/6.82 inference(unit_resolution,[status(thm)],[12222, 17104])).
% 6.64/6.82 tff(17106,plain,
% 6.64/6.82 (~((~(mult(mult(mult(b, a), a), mult(mult(c, a), b)) = mult(mult(b, a), mult(mult(mult(c, a), b), a)))) | (~(mult(mult(mult(b, a), mult(mult(c, a), b)), a) = mult(mult(b, a), mult(a, mult(mult(c, a), b))))))),
% 6.64/6.82 inference(unit_resolution,[status(thm)],[12220, 17105])).
% 6.64/6.82 tff(17107,plain,
% 6.64/6.82 (mult(mult(mult(b, a), a), mult(mult(c, a), b)) = mult(mult(b, a), mult(mult(mult(c, a), b), a))),
% 6.64/6.82 inference(unit_resolution,[status(thm)],[14976, 17106])).
% 6.64/6.82 tff(17108,plain,
% 6.64/6.82 (~(mult(mult(mult(b, a), mult(c, a)), mult(b, a)) = mult(mult(b, a), mult(mult(c, a), mult(b, a))))),
% 6.64/6.82 inference(unit_resolution,[status(thm)],[16988, 17107, 15733, 16942, 15796])).
% 6.64/6.82 tff(17109,plain,
% 6.64/6.82 ((~(mult(mult(mult(b, a), mult(c, a)), mult(b, a)) = mult(mult(b, a), mult(mult(c, a), mult(b, a))))) | (~(mult(mult(mult(b, a), mult(b, a)), mult(c, a)) = mult(mult(b, a), mult(mult(b, a), mult(c, a)))))),
% 6.64/6.82 inference(unit_resolution,[status(thm)],[16379, 17108])).
% 6.64/6.82 tff(17110,plain,
% 6.64/6.82 (~((~(mult(mult(mult(b, a), mult(b, a)), mult(c, a)) = mult(mult(b, a), mult(mult(c, a), mult(b, a))))) | (~(mult(mult(mult(b, a), mult(c, a)), mult(b, a)) = mult(mult(b, a), mult(mult(b, a), mult(c, a))))))),
% 6.64/6.82 inference(unit_resolution,[status(thm)],[16387, 17109])).
% 6.64/6.82 tff(17111,plain,
% 6.64/6.82 (mult(mult(mult(b, a), mult(c, a)), mult(b, a)) = mult(mult(b, a), mult(mult(b, a), mult(c, a)))),
% 6.64/6.82 inference(unit_resolution,[status(thm)],[8008, 17110])).
% 6.64/6.82 tff(17112,plain,
% 6.64/6.82 (mult(mult(mult(b, a), a), mult(b, mult(c, a))) = mult(mult(b, a), mult(mult(b, mult(c, a)), a))),
% 6.64/6.82 inference(unit_resolution,[status(thm)],[14265, 17090])).
% 6.64/6.82 tff(17113,plain,
% 6.64/6.82 (mult(mult(b, a), mult(mult(b, a), mult(a, c))) = mult(mult(b, mult(mult(a, mult(a, c)), a)), b)),
% 6.64/6.82 inference(transitivity,[status(thm)],[16950, 11411, 12692])).
% 6.64/6.82 tff(17114,plain,
% 6.64/6.82 ((mult(mult(b, a), mult(mult(b, a), mult(a, c))) = mult(b, mult(mult(mult(b, a), mult(a, c)), a))) <=> (mult(mult(b, mult(mult(a, mult(a, c)), a)), b) = mult(b, mult(b, mult(mult(a, mult(a, c)), a))))),
% 6.64/6.82 inference(monotonicity,[status(thm)],[17113, 12685])).
% 6.64/6.82 tff(17115,plain,
% 6.64/6.82 ((mult(mult(b, a), mult(mult(b, mult(c, a)), a)) = mult(mult(mult(b, a), mult(b, mult(c, a))), a)) <=> (mult(mult(mult(b, a), mult(b, mult(c, a))), a) = mult(mult(b, a), mult(mult(b, mult(c, a)), a)))),
% 6.64/6.82 inference(commutativity,[status(thm)],[])).
% 6.64/6.82 tff(17116,plain,
% 6.64/6.82 (mult(mult(a, a), mult(a, c)) = mult(a, mult(a, mult(a, c)))),
% 6.64/6.82 inference(unit_resolution,[status(thm)],[15920, 16054, 16053])).
% 6.64/6.82 tff(17117,plain,
% 6.64/6.82 (mult(mult(a, mult(mult(b, c), a)), a) = mult(a, mult(mult(mult(b, c), a), a))),
% 6.64/6.82 inference(unit_resolution,[status(thm)],[10556, 16299, 15823])).
% 6.64/6.82 tff(17118,plain,
% 6.64/6.82 (mult(mult(a, b), mult(mult(a, a), c)) = mult(a, mult(b, mult(mult(a, a), c)))),
% 6.64/6.82 inference(unit_resolution,[status(thm)],[16463, 17117, 16003, 16054, 15801, 15824])).
% 6.64/6.82 tff(17119,plain,
% 6.64/6.82 (mult(mult(a, mult(a, c)), mult(a, b)) = mult(a, mult(mult(a, c), mult(a, b)))),
% 6.64/6.82 inference(unit_resolution,[status(thm)],[16517, 17118, 15824, 16003, 16054, 17116, 15801])).
% 6.64/6.82 tff(17120,plain,
% 6.64/6.82 (~(mult(mult(mult(mult(a, a), c), b), a) = mult(mult(mult(a, a), c), mult(a, b)))),
% 6.64/6.82 inference(unit_resolution,[status(thm)],[16582, 16052, 17119, 16054, 16053])).
% 6.64/6.82 tff(17121,plain,
% 6.64/6.82 ((~(mult(mult(mult(mult(a, a), c), a), b) = mult(mult(mult(a, a), c), mult(b, a)))) | (~(mult(mult(mult(mult(a, a), c), b), a) = mult(mult(mult(a, a), c), mult(a, b))))),
% 6.64/6.82 inference(unit_resolution,[status(thm)],[16584, 17120])).
% 6.64/6.82 tff(17122,plain,
% 6.64/6.82 (~((~(mult(mult(mult(mult(a, a), c), a), b) = mult(mult(mult(a, a), c), mult(a, b)))) | (~(mult(mult(mult(mult(a, a), c), b), a) = mult(mult(mult(a, a), c), mult(b, a)))))),
% 6.64/6.82 inference(unit_resolution,[status(thm)],[16592, 17121])).
% 6.64/6.82 tff(17123,plain,
% 6.64/6.82 (mult(mult(mult(mult(a, a), c), b), a) = mult(mult(mult(a, a), c), mult(b, a))),
% 6.64/6.82 inference(unit_resolution,[status(thm)],[16636, 17122])).
% 6.64/6.82 tff(17124,plain,
% 6.64/6.82 (mult(mult(a, mult(b, a)), mult(a, c)) = mult(a, mult(mult(b, a), mult(a, c)))),
% 6.64/6.82 inference(unit_resolution,[status(thm)],[16651, 17123, 15794, 16054, 16053])).
% 6.64/6.82 tff(17125,plain,
% 6.64/6.82 (mult(a, mult(mult(b, a), mult(a, c))) = mult(mult(a, mult(b, a)), mult(a, c))),
% 6.64/6.82 inference(symmetry,[status(thm)],[17124])).
% 6.64/6.82 tff(17126,plain,
% 6.64/6.82 (mult(a, mult(mult(b, a), mult(a, c))) = mult(mult(mult(a, b), a), mult(a, c))),
% 6.64/6.82 inference(transitivity,[status(thm)],[17125, 11015])).
% 6.64/6.82 tff(17127,plain,
% 6.64/6.82 (mult(b, mult(a, mult(mult(b, a), mult(a, c)))) = mult(b, mult(mult(mult(a, b), a), mult(a, c)))),
% 6.64/6.82 inference(monotonicity,[status(thm)],[17126])).
% 6.64/6.82 tff(17128,plain,
% 6.64/6.82 (mult(b, mult(a, mult(mult(b, a), mult(a, c)))) = mult(mult(mult(b, a), mult(b, mult(c, a))), a)),
% 6.64/6.82 inference(transitivity,[status(thm)],[17127, 17095, 14695])).
% 6.64/6.82 tff(17129,plain,
% 6.64/6.82 ((mult(mult(b, a), mult(mult(b, a), mult(a, c))) = mult(b, mult(a, mult(mult(b, a), mult(a, c))))) <=> (mult(mult(b, a), mult(mult(b, mult(c, a)), a)) = mult(mult(mult(b, a), mult(b, mult(c, a))), a))),
% 6.64/6.82 inference(monotonicity,[status(thm)],[17052, 17128])).
% 6.64/6.82 tff(17130,plain,
% 6.64/6.82 ((mult(mult(b, a), mult(mult(b, a), mult(a, c))) = mult(b, mult(a, mult(mult(b, a), mult(a, c))))) <=> (mult(mult(mult(b, a), mult(b, mult(c, a))), a) = mult(mult(b, a), mult(mult(b, mult(c, a)), a)))),
% 6.64/6.82 inference(transitivity,[status(thm)],[17129, 17115])).
% 6.64/6.82 tff(17131,plain,
% 6.64/6.82 ((mult(mult(mult(b, a), mult(b, mult(c, a))), a) = mult(mult(b, a), mult(mult(b, mult(c, a)), a))) <=> (mult(mult(b, a), mult(mult(b, a), mult(a, c))) = mult(b, mult(a, mult(mult(b, a), mult(a, c)))))),
% 6.64/6.82 inference(symmetry,[status(thm)],[17130])).
% 6.64/6.82 tff(17132,plain,
% 6.64/6.82 ((~(mult(mult(mult(b, a), mult(b, mult(c, a))), a) = mult(mult(b, a), mult(mult(b, mult(c, a)), a)))) <=> (~(mult(mult(b, a), mult(mult(b, a), mult(a, c))) = mult(b, mult(a, mult(mult(b, a), mult(a, c))))))),
% 6.64/6.82 inference(monotonicity,[status(thm)],[17131])).
% 6.64/6.82 tff(17133,plain,
% 6.64/6.82 (~(mult(mult(b, a), mult(mult(b, a), mult(a, c))) = mult(b, mult(a, mult(mult(b, a), mult(a, c)))))),
% 6.64/6.82 inference(modus_ponens,[status(thm)],[17088, 17132])).
% 6.64/6.82 tff(17134,plain,
% 6.64/6.82 ((~(mult(mult(b, a), mult(mult(b, a), mult(a, c))) = mult(b, mult(a, mult(mult(b, a), mult(a, c)))))) | (~(mult(mult(b, mult(mult(b, a), mult(a, c))), a) = mult(b, mult(mult(mult(b, a), mult(a, c)), a))))),
% 6.64/6.82 inference(unit_resolution,[status(thm)],[12705, 17133])).
% 6.64/6.82 tff(17135,plain,
% 6.64/6.82 (~((~(mult(mult(b, a), mult(mult(b, a), mult(a, c))) = mult(b, mult(mult(mult(b, a), mult(a, c)), a)))) | (~(mult(mult(b, mult(mult(b, a), mult(a, c))), a) = mult(b, mult(a, mult(mult(b, a), mult(a, c)))))))),
% 6.64/6.82 inference(unit_resolution,[status(thm)],[12724, 17134])).
% 6.64/6.82 tff(17136,plain,
% 6.64/6.82 (mult(mult(b, a), mult(mult(b, a), mult(a, c))) = mult(b, mult(mult(mult(b, a), mult(a, c)), a))),
% 6.64/6.82 inference(unit_resolution,[status(thm)],[12712, 17135])).
% 6.64/6.82 tff(17137,plain,
% 6.64/6.82 (mult(mult(b, mult(mult(a, mult(a, c)), a)), b) = mult(b, mult(b, mult(mult(a, mult(a, c)), a)))),
% 6.64/6.82 inference(modus_ponens,[status(thm)],[17136, 17114])).
% 6.64/6.82 tff(17138,plain,
% 6.64/6.82 ((mult(mult(mult(b, a), a), mult(mult(b, a), c)) = mult(mult(mult(mult(b, a), a), c), mult(b, a))) <=> (mult(mult(mult(mult(b, a), a), c), mult(b, a)) = mult(mult(mult(b, a), a), mult(mult(b, a), c)))),
% 6.64/6.82 inference(commutativity,[status(thm)],[])).
% 6.64/6.82 tff(17139,plain,
% 6.64/6.82 (mult(mult(mult(b, a), a), mult(c, mult(b, a))) = mult(mult(mult(mult(b, a), a), c), mult(b, a))),
% 6.64/6.82 inference(symmetry,[status(thm)],[16942])).
% 6.64/6.82 tff(17140,plain,
% 6.64/6.82 (~(mult(mult(mult(b, a), a), mult(mult(c, b), a)) = mult(mult(b, a), mult(mult(mult(c, b), a), a)))),
% 6.64/6.82 inference(unit_resolution,[status(thm)],[17032, 17111, 16342, 16942, 10916, 16941, 16937, 16940])).
% 6.64/6.82 tff(17141,plain,
% 6.64/6.82 ((~(mult(mult(mult(b, a), a), mult(mult(c, b), a)) = mult(mult(b, a), mult(mult(mult(c, b), a), a)))) | (~(mult(mult(mult(b, a), mult(mult(c, b), a)), a) = mult(mult(b, a), mult(a, mult(mult(c, b), a)))))),
% 6.64/6.82 inference(unit_resolution,[status(thm)],[17034, 17140])).
% 6.64/6.82 tff(17142,plain,
% 6.64/6.82 (~((~(mult(mult(mult(b, a), a), mult(mult(c, b), a)) = mult(mult(b, a), mult(a, mult(mult(c, b), a))))) | (~(mult(mult(mult(b, a), mult(mult(c, b), a)), a) = mult(mult(b, a), mult(mult(mult(c, b), a), a)))))),
% 6.64/6.82 inference(unit_resolution,[status(thm)],[17039, 17141])).
% 6.64/6.82 tff(17143,plain,
% 6.64/6.82 (mult(mult(mult(b, a), a), mult(mult(c, b), a)) = mult(mult(b, a), mult(a, mult(mult(c, b), a)))),
% 6.64/6.82 inference(unit_resolution,[status(thm)],[17041, 17142])).
% 6.64/6.82 tff(17144,plain,
% 6.64/6.82 (mult(mult(b, a), mult(a, mult(mult(c, b), a))) = mult(mult(mult(b, a), a), mult(mult(c, b), a))),
% 6.64/6.82 inference(symmetry,[status(thm)],[17143])).
% 6.64/6.82 tff(17145,plain,
% 6.64/6.82 (mult(mult(b, a), mult(mult(a, c), mult(b, a))) = mult(mult(mult(mult(b, a), a), c), mult(b, a))),
% 6.64/6.82 inference(transitivity,[status(thm)],[16947, 17144, 17043, 17139])).
% 6.64/6.82 tff(17146,plain,
% 6.64/6.82 (mult(mult(mult(b, a), a), mult(b, mult(c, a))) = mult(mult(mult(b, a), a), mult(mult(b, a), c))),
% 6.64/6.82 inference(symmetry,[status(thm)],[14267])).
% 6.64/6.82 tff(17147,plain,
% 6.64/6.82 (mult(mult(b, a), mult(mult(b, mult(c, a)), a)) = mult(mult(mult(b, a), a), mult(b, mult(c, a)))),
% 6.64/6.82 inference(symmetry,[status(thm)],[17112])).
% 6.64/6.82 tff(17148,plain,
% 6.64/6.82 (mult(mult(mult(b, a), mult(a, c)), mult(b, a)) = mult(mult(mult(b, a), a), mult(mult(b, a), c))),
% 6.64/6.82 inference(transitivity,[status(thm)],[16941, 17052, 17147, 17146])).
% 6.64/6.82 tff(17149,plain,
% 6.64/6.82 ((mult(mult(mult(b, a), mult(a, c)), mult(b, a)) = mult(mult(b, a), mult(mult(a, c), mult(b, a)))) <=> (mult(mult(mult(b, a), a), mult(mult(b, a), c)) = mult(mult(mult(mult(b, a), a), c), mult(b, a)))),
% 6.64/6.82 inference(monotonicity,[status(thm)],[17148, 17145])).
% 6.64/6.82 tff(17150,plain,
% 6.64/6.82 ((mult(mult(mult(b, a), mult(a, c)), mult(b, a)) = mult(mult(b, a), mult(mult(a, c), mult(b, a)))) <=> (mult(mult(mult(mult(b, a), a), c), mult(b, a)) = mult(mult(mult(b, a), a), mult(mult(b, a), c)))),
% 6.64/6.82 inference(transitivity,[status(thm)],[17149, 17138])).
% 6.64/6.82 tff(17151,plain,
% 6.64/6.82 ((~(mult(mult(mult(b, a), mult(a, c)), mult(b, a)) = mult(mult(b, a), mult(mult(a, c), mult(b, a))))) <=> (~(mult(mult(mult(mult(b, a), a), c), mult(b, a)) = mult(mult(mult(b, a), a), mult(mult(b, a), c))))),
% 6.64/6.82 inference(monotonicity,[status(thm)],[17150])).
% 6.64/6.82 tff(17152,plain,
% 6.64/6.82 (~(mult(mult(mult(mult(b, a), a), c), mult(b, a)) = mult(mult(mult(b, a), a), mult(mult(b, a), c)))),
% 6.64/6.82 inference(modus_ponens,[status(thm)],[13224, 17151])).
% 6.64/6.82 tff(17153,plain,
% 6.64/6.82 (mult(mult(a, c), mult(b, a)) = mult(a, mult(mult(c, b), a))),
% 6.64/6.82 inference(transitivity,[status(thm)],[153, 9005, 8184])).
% 6.64/6.82 tff(17154,plain,
% 6.64/6.82 (mult(mult(b, a), mult(mult(a, c), mult(b, a))) = mult(mult(b, a), mult(a, mult(mult(c, b), a)))),
% 6.64/6.82 inference(monotonicity,[status(thm)],[17153])).
% 6.64/6.82 tff(17155,plain,
% 6.64/6.82 (mult(mult(b, a), mult(a, mult(mult(c, b), a))) = mult(mult(b, a), mult(mult(a, c), mult(b, a)))),
% 6.64/6.82 inference(symmetry,[status(thm)],[17154])).
% 6.64/6.82 tff(17156,plain,
% 6.64/6.82 (mult(mult(b, a), mult(mult(b, mult(c, a)), a)) = mult(mult(mult(b, a), a), mult(b, mult(c, a)))),
% 6.64/6.82 inference(symmetry,[status(thm)],[16345])).
% 6.64/6.82 tff(17157,plain,
% 6.64/6.82 (mult(mult(b, a), mult(mult(mult(b, a), a), c)) = mult(mult(mult(mult(b, a), a), c), mult(b, a))),
% 6.64/6.82 inference(transitivity,[status(thm)],[16996, 17026, 16354])).
% 6.64/6.82 tff(17158,plain,
% 6.64/6.82 (mult(mult(mult(b, a), c), mult(mult(b, a), a)) = mult(mult(mult(b, a), a), mult(mult(b, a), c))),
% 6.64/6.82 inference(transitivity,[status(thm)],[16993, 7955, 3534, 8734, 17052, 17156, 17146])).
% 6.64/6.82 tff(17159,plain,
% 6.64/6.82 ((mult(mult(mult(b, a), c), mult(mult(b, a), a)) = mult(mult(b, a), mult(mult(mult(b, a), a), c))) <=> (mult(mult(mult(b, a), a), mult(mult(b, a), c)) = mult(mult(mult(mult(b, a), a), c), mult(b, a)))),
% 6.64/6.82 inference(monotonicity,[status(thm)],[17158, 17157])).
% 6.64/6.82 tff(17160,plain,
% 6.64/6.82 ((mult(mult(mult(b, a), c), mult(mult(b, a), a)) = mult(mult(b, a), mult(mult(mult(b, a), a), c))) <=> (mult(mult(mult(mult(b, a), a), c), mult(b, a)) = mult(mult(mult(b, a), a), mult(mult(b, a), c)))),
% 6.64/6.82 inference(transitivity,[status(thm)],[17159, 17138])).
% 6.64/6.82 tff(17161,plain,
% 6.64/6.82 ((mult(mult(mult(mult(b, a), a), c), mult(b, a)) = mult(mult(mult(b, a), a), mult(mult(b, a), c))) <=> (mult(mult(mult(b, a), c), mult(mult(b, a), a)) = mult(mult(b, a), mult(mult(mult(b, a), a), c)))),
% 6.64/6.82 inference(symmetry,[status(thm)],[17160])).
% 6.64/6.82 tff(17162,plain,
% 6.64/6.82 ((~(mult(mult(mult(mult(b, a), a), c), mult(b, a)) = mult(mult(mult(b, a), a), mult(mult(b, a), c)))) <=> (~(mult(mult(mult(b, a), c), mult(mult(b, a), a)) = mult(mult(b, a), mult(mult(mult(b, a), a), c))))),
% 6.64/6.82 inference(monotonicity,[status(thm)],[17161])).
% 6.64/6.82 tff(17163,assumption,(~(mult(mult(mult(mult(b, a), a), c), mult(b, a)) = mult(mult(mult(b, a), a), mult(mult(b, a), c)))), introduced(assumption)).
% 6.64/6.82 tff(17164,plain,
% 6.64/6.82 (~(mult(mult(mult(b, a), c), mult(mult(b, a), a)) = mult(mult(b, a), mult(mult(mult(b, a), a), c)))),
% 6.64/6.82 inference(modus_ponens,[status(thm)],[17163, 17162])).
% 6.64/6.82 tff(17165,plain,
% 6.64/6.82 ((~(mult(mult(mult(b, a), mult(mult(b, a), a)), c) = mult(mult(b, a), mult(c, mult(mult(b, a), a))))) | (~(mult(mult(mult(b, a), c), mult(mult(b, a), a)) = mult(mult(b, a), mult(mult(mult(b, a), a), c))))),
% 6.64/6.83 inference(unit_resolution,[status(thm)],[17016, 17164])).
% 6.64/6.83 tff(17166,plain,
% 6.64/6.83 (~((~(mult(mult(mult(b, a), mult(mult(b, a), a)), c) = mult(mult(b, a), mult(mult(mult(b, a), a), c)))) | (~(mult(mult(mult(b, a), c), mult(mult(b, a), a)) = mult(mult(b, a), mult(c, mult(mult(b, a), a))))))),
% 6.64/6.83 inference(unit_resolution,[status(thm)],[17014, 17165])).
% 6.64/6.83 tff(17167,plain,
% 6.64/6.83 (mult(mult(mult(b, a), c), mult(mult(b, a), a)) = mult(mult(b, a), mult(c, mult(mult(b, a), a)))),
% 6.64/6.83 inference(unit_resolution,[status(thm)],[17009, 17166])).
% 6.64/6.83 tff(17168,plain,
% 6.64/6.83 (mult(mult(b, a), mult(c, mult(mult(b, a), a))) = mult(mult(mult(b, a), c), mult(mult(b, a), a))),
% 6.64/6.83 inference(symmetry,[status(thm)],[17167])).
% 6.64/6.83 tff(17169,plain,
% 6.64/6.83 (mult(mult(b, a), mult(mult(mult(c, b), a), a)) = mult(mult(mult(b, a), a), mult(mult(b, a), c))),
% 6.64/6.83 inference(transitivity,[status(thm)],[17024, 17168, 16993, 7955, 3534, 8734, 17052, 17156, 17146])).
% 6.64/6.83 tff(17170,plain,
% 6.64/6.83 ((~(mult(mult(mult(mult(b, a), a), mult(b, a)), c) = mult(mult(mult(b, a), a), mult(c, mult(b, a))))) | (~(mult(mult(mult(mult(b, a), a), c), mult(b, a)) = mult(mult(mult(b, a), a), mult(mult(b, a), c))))),
% 6.64/6.83 inference(unit_resolution,[status(thm)],[16352, 17163])).
% 6.64/6.83 tff(17171,plain,
% 6.64/6.83 ((~((~(mult(mult(mult(mult(b, a), a), mult(b, a)), c) = mult(mult(mult(b, a), a), mult(c, mult(b, a))))) | (~(mult(mult(mult(mult(b, a), a), c), mult(b, a)) = mult(mult(mult(b, a), a), mult(mult(b, a), c)))))) | (~((~(mult(mult(mult(mult(b, a), a), mult(b, a)), c) = mult(mult(mult(b, a), a), mult(mult(b, a), c)))) | (~(mult(mult(mult(mult(b, a), a), c), mult(b, a)) = mult(mult(mult(b, a), a), mult(c, mult(b, a)))))))),
% 6.64/6.83 inference(unit_resolution,[status(thm)],[16350, 30])).
% 6.64/6.83 tff(17172,plain,
% 6.64/6.83 (~((~(mult(mult(mult(mult(b, a), a), mult(b, a)), c) = mult(mult(mult(b, a), a), mult(mult(b, a), c)))) | (~(mult(mult(mult(mult(b, a), a), c), mult(b, a)) = mult(mult(mult(b, a), a), mult(c, mult(b, a))))))),
% 6.64/6.83 inference(unit_resolution,[status(thm)],[17171, 17170])).
% 6.64/6.83 tff(17173,plain,
% 6.64/6.83 (mult(mult(mult(mult(b, a), a), c), mult(b, a)) = mult(mult(mult(b, a), a), mult(c, mult(b, a)))),
% 6.64/6.83 inference(unit_resolution,[status(thm)],[16346, 17172])).
% 6.64/6.83 tff(17174,plain,
% 6.64/6.83 (mult(mult(mult(b, a), a), mult(c, mult(b, a))) = mult(mult(mult(mult(b, a), a), c), mult(b, a))),
% 6.64/6.83 inference(symmetry,[status(thm)],[17173])).
% 6.64/6.83 tff(17175,plain,
% 6.64/6.83 (mult(mult(mult(b, a), a), mult(mult(c, b), a)) = mult(mult(mult(mult(b, a), a), c), mult(b, a))),
% 6.64/6.83 inference(transitivity,[status(thm)],[16998, 17174])).
% 6.64/6.83 tff(17176,plain,
% 6.64/6.83 ((mult(mult(mult(b, a), a), mult(mult(c, b), a)) = mult(mult(b, a), mult(mult(mult(c, b), a), a))) <=> (mult(mult(mult(mult(b, a), a), c), mult(b, a)) = mult(mult(mult(b, a), a), mult(mult(b, a), c)))),
% 6.64/6.83 inference(monotonicity,[status(thm)],[17175, 17169])).
% 6.64/6.83 tff(17177,plain,
% 6.64/6.83 ((mult(mult(mult(mult(b, a), a), c), mult(b, a)) = mult(mult(mult(b, a), a), mult(mult(b, a), c))) <=> (mult(mult(mult(b, a), a), mult(mult(c, b), a)) = mult(mult(b, a), mult(mult(mult(c, b), a), a)))),
% 6.64/6.83 inference(symmetry,[status(thm)],[17176])).
% 6.64/6.83 tff(17178,plain,
% 6.64/6.83 ((~(mult(mult(mult(mult(b, a), a), c), mult(b, a)) = mult(mult(mult(b, a), a), mult(mult(b, a), c)))) <=> (~(mult(mult(mult(b, a), a), mult(mult(c, b), a)) = mult(mult(b, a), mult(mult(mult(c, b), a), a))))),
% 6.64/6.83 inference(monotonicity,[status(thm)],[17177])).
% 6.64/6.83 tff(17179,plain,
% 6.64/6.83 (~(mult(mult(mult(b, a), a), mult(mult(c, b), a)) = mult(mult(b, a), mult(mult(mult(c, b), a), a)))),
% 6.64/6.83 inference(modus_ponens,[status(thm)],[17163, 17178])).
% 6.64/6.83 tff(17180,plain,
% 6.64/6.83 ((~(mult(mult(mult(b, a), a), mult(mult(c, b), a)) = mult(mult(b, a), mult(mult(mult(c, b), a), a)))) | (~(mult(mult(mult(b, a), mult(mult(c, b), a)), a) = mult(mult(b, a), mult(a, mult(mult(c, b), a)))))),
% 6.64/6.83 inference(unit_resolution,[status(thm)],[17034, 17179])).
% 6.64/6.83 tff(17181,plain,
% 6.64/6.83 (~((~(mult(mult(mult(b, a), a), mult(mult(c, b), a)) = mult(mult(b, a), mult(a, mult(mult(c, b), a))))) | (~(mult(mult(mult(b, a), mult(mult(c, b), a)), a) = mult(mult(b, a), mult(mult(mult(c, b), a), a)))))),
% 6.64/6.83 inference(unit_resolution,[status(thm)],[17039, 17180])).
% 6.64/6.83 tff(17182,plain,
% 6.64/6.83 (mult(mult(mult(b, a), a), mult(mult(c, b), a)) = mult(mult(b, a), mult(a, mult(mult(c, b), a)))),
% 6.64/6.83 inference(unit_resolution,[status(thm)],[17041, 17181])).
% 6.64/6.83 tff(17183,plain,
% 6.64/6.83 (mult(mult(mult(b, a), a), mult(c, mult(b, a))) = mult(mult(mult(b, a), a), mult(mult(c, b), a))),
% 6.64/6.83 inference(symmetry,[status(thm)],[16998])).
% 6.64/6.83 tff(17184,plain,
% 6.64/6.83 (mult(mult(b, a), mult(mult(b, a), mult(c, a))) = mult(mult(b, a), mult(mult(a, mult(c, b)), a))),
% 6.64/6.83 inference(transitivity,[status(thm)],[17026, 16354, 17173, 17183, 17182, 17155, 16561])).
% 6.64/6.83 tff(17185,plain,
% 6.64/6.83 (ld(mult(b, a), mult(mult(b, a), mult(mult(b, a), mult(c, a)))) = ld(mult(b, a), mult(mult(b, a), mult(mult(a, mult(c, b)), a)))),
% 6.64/6.83 inference(monotonicity,[status(thm)],[17184])).
% 6.64/6.83 tff(17186,plain,
% 6.64/6.83 (ld(mult(b, a), mult(mult(b, a), mult(mult(a, mult(c, b)), a))) = ld(mult(b, a), mult(mult(b, a), mult(mult(b, a), mult(c, a))))),
% 6.64/6.83 inference(symmetry,[status(thm)],[17185])).
% 6.64/6.83 tff(17187,plain,
% 6.64/6.83 ((~![B: $i, A: $i] : (ld(A, mult(A, B)) = B)) | (ld(b, mult(b, mult(mult(mult(a, mult(c, b)), a), a))) = mult(mult(mult(a, mult(c, b)), a), a))),
% 6.64/6.83 inference(quant_inst,[status(thm)],[])).
% 6.64/6.83 tff(17188,plain,
% 6.64/6.83 (ld(b, mult(b, mult(mult(mult(a, mult(c, b)), a), a))) = mult(mult(mult(a, mult(c, b)), a), a)),
% 6.64/6.83 inference(unit_resolution,[status(thm)],[17187, 9])).
% 6.64/6.83 tff(17189,plain,
% 6.64/6.83 (mult(b, mult(mult(mult(b, a), mult(a, c)), a)) = mult(b, mult(b, mult(mult(a, mult(a, c)), a)))),
% 6.64/6.83 inference(monotonicity,[status(thm)],[10949])).
% 6.64/6.83 tff(17190,plain,
% 6.64/6.83 (mult(b, mult(b, mult(mult(a, mult(a, c)), a))) = mult(b, mult(mult(mult(b, a), mult(a, c)), a))),
% 6.64/6.83 inference(symmetry,[status(thm)],[17189])).
% 6.64/6.83 tff(17191,assumption,(mult(mult(b, mult(mult(a, mult(a, c)), a)), b) = mult(b, mult(b, mult(mult(a, mult(a, c)), a)))), introduced(assumption)).
% 6.64/6.83 tff(17192,plain,
% 6.64/6.83 (mult(mult(mult(b, a), mult(mult(c, b), a)), a) = mult(mult(b, a), mult(mult(mult(c, b), a), a))),
% 6.64/6.83 inference(unit_resolution,[status(thm)],[17068, 17181])).
% 6.64/6.83 tff(17193,plain,
% 6.64/6.83 ((~![C: $i, B: $i, A: $i] : (mult(mult(mult(A, B), C), B) = mult(A, mult(mult(B, C), B)))) | (mult(mult(mult(b, a), mult(mult(c, b), a)), a) = mult(b, mult(mult(a, mult(mult(c, b), a)), a)))),
% 6.64/6.83 inference(quant_inst,[status(thm)],[])).
% 6.64/6.83 tff(17194,plain,
% 6.64/6.83 (mult(mult(mult(b, a), mult(mult(c, b), a)), a) = mult(b, mult(mult(a, mult(mult(c, b), a)), a))),
% 6.64/6.83 inference(unit_resolution,[status(thm)],[17193, 860])).
% 6.64/6.83 tff(17195,plain,
% 6.64/6.83 (mult(b, mult(mult(a, mult(mult(c, b), a)), a)) = mult(mult(mult(b, a), mult(mult(c, b), a)), a)),
% 6.64/6.83 inference(symmetry,[status(thm)],[17194])).
% 6.64/6.83 tff(17196,plain,
% 6.64/6.83 (mult(mult(a, mult(mult(c, b), a)), a) = mult(mult(mult(a, mult(c, b)), a), a)),
% 6.64/6.83 inference(monotonicity,[status(thm)],[8206])).
% 6.64/6.83 tff(17197,plain,
% 6.64/6.83 (mult(mult(mult(a, mult(c, b)), a), a) = mult(mult(a, mult(mult(c, b), a)), a)),
% 6.64/6.83 inference(symmetry,[status(thm)],[17196])).
% 6.64/6.83 tff(17198,plain,
% 6.64/6.83 (mult(mult(a, c), mult(b, a)) = mult(mult(a, mult(c, b)), a)),
% 6.64/6.83 inference(transitivity,[status(thm)],[153, 9005])).
% 6.64/6.83 tff(17199,plain,
% 6.64/6.83 (mult(mult(mult(a, c), mult(b, a)), a) = mult(mult(mult(a, mult(c, b)), a), a)),
% 6.64/6.83 inference(monotonicity,[status(thm)],[17198])).
% 6.64/6.83 tff(17200,plain,
% 6.64/6.83 (mult(mult(mult(a, c), mult(b, a)), a) = mult(mult(a, mult(mult(c, b), a)), a)),
% 6.64/6.83 inference(transitivity,[status(thm)],[17199, 17197])).
% 6.64/6.83 tff(17201,plain,
% 6.64/6.83 (mult(b, mult(mult(mult(a, c), mult(b, a)), a)) = mult(b, mult(mult(a, mult(mult(c, b), a)), a))),
% 6.64/6.83 inference(monotonicity,[status(thm)],[17200])).
% 6.64/6.83 tff(17202,plain,
% 6.64/6.83 (mult(mult(mult(a, mult(c, b)), a), a) = mult(mult(mult(a, c), mult(b, a)), a)),
% 6.64/6.83 inference(symmetry,[status(thm)],[17199])).
% 6.64/6.83 tff(17203,plain,
% 6.64/6.83 (mult(b, mult(mult(mult(a, mult(c, b)), a), a)) = mult(b, mult(mult(mult(a, c), mult(b, a)), a))),
% 6.64/6.83 inference(monotonicity,[status(thm)],[17202])).
% 6.64/6.83 tff(17204,plain,
% 6.64/6.83 (mult(b, mult(mult(mult(a, mult(c, b)), a), a)) = mult(b, mult(mult(mult(b, a), mult(a, c)), a))),
% 6.64/6.83 inference(transitivity,[status(thm)],[17203, 17201, 17195, 17192, 17024, 17168, 16993, 7955, 3534, 11411, 12692, 17191, 17190])).
% 6.64/6.83 tff(17205,plain,
% 6.64/6.83 (ld(b, mult(b, mult(mult(mult(a, mult(c, b)), a), a))) = ld(b, mult(b, mult(mult(mult(b, a), mult(a, c)), a)))),
% 6.64/6.83 inference(monotonicity,[status(thm)],[17204])).
% 6.64/6.83 tff(17206,plain,
% 6.64/6.83 (ld(b, mult(b, mult(mult(mult(b, a), mult(a, c)), a))) = ld(b, mult(b, mult(mult(mult(a, mult(c, b)), a), a)))),
% 6.64/6.83 inference(symmetry,[status(thm)],[17205])).
% 6.64/6.83 tff(17207,assumption,(~(ld(b, mult(b, mult(mult(mult(b, a), mult(a, c)), a))) = mult(mult(mult(b, a), mult(a, c)), a))), introduced(assumption)).
% 6.64/6.83 tff(17208,plain,
% 6.64/6.83 ((~![B: $i, A: $i] : (ld(A, mult(A, B)) = B)) | (ld(b, mult(b, mult(mult(mult(b, a), mult(a, c)), a))) = mult(mult(mult(b, a), mult(a, c)), a))),
% 6.64/6.83 inference(quant_inst,[status(thm)],[])).
% 6.64/6.83 tff(17209,plain,
% 6.64/6.83 ($false),
% 6.64/6.83 inference(unit_resolution,[status(thm)],[17208, 9, 17207])).
% 6.64/6.83 tff(17210,plain,(ld(b, mult(b, mult(mult(mult(b, a), mult(a, c)), a))) = mult(mult(mult(b, a), mult(a, c)), a)), inference(lemma,lemma(discharge,[]))).
% 6.64/6.83 tff(17211,plain,
% 6.64/6.83 (mult(mult(mult(b, a), mult(a, c)), a) = ld(b, mult(b, mult(mult(mult(b, a), mult(a, c)), a)))),
% 6.64/6.83 inference(symmetry,[status(thm)],[17210])).
% 6.64/6.83 tff(17212,plain,
% 6.64/6.83 (mult(mult(mult(b, a), mult(a, c)), a) = mult(mult(mult(a, mult(c, b)), a), a)),
% 6.64/6.83 inference(transitivity,[status(thm)],[17211, 17206, 17188])).
% 6.64/6.83 tff(17213,plain,
% 6.64/6.83 (rd(mult(mult(mult(b, a), mult(a, c)), a), a) = rd(mult(mult(mult(a, mult(c, b)), a), a), a)),
% 6.64/6.83 inference(monotonicity,[status(thm)],[17212])).
% 6.64/6.83 tff(17214,plain,
% 6.64/6.83 (mult(mult(mult(b, a), c), a) = mult(mult(b, a), mult(c, a))),
% 6.64/6.83 inference(transitivity,[status(thm)],[3530, 11337, 17213, 4721, 16607, 17186, 16009])).
% 6.64/6.83 tff(17215,plain,
% 6.64/6.83 ($false),
% 6.64/6.83 inference(unit_resolution,[status(thm)],[14297, 17214])).
% 6.64/6.83 tff(17216,plain,((~(mult(mult(mult(b, a), mult(c, a)), mult(b, a)) = mult(mult(b, a), mult(mult(b, a), mult(c, a))))) | (mult(mult(mult(b, a), c), a) = mult(mult(b, a), mult(c, a))) | (~(mult(mult(c, b), a) = mult(c, mult(b, a)))) | (~(mult(mult(mult(a, c), b), a) = mult(mult(a, c), mult(b, a)))) | (~(mult(mult(b, mult(mult(a, mult(a, c)), a)), b) = mult(b, mult(b, mult(mult(a, mult(a, c)), a))))) | (~(mult(mult(mult(mult(b, a), mult(a, c)), a), b) = mult(mult(mult(b, a), mult(a, c)), mult(b, a)))) | (~(mult(mult(mult(b, mult(c, a)), a), mult(b, a)) = mult(mult(b, mult(c, a)), mult(mult(b, a), a)))) | (~(mult(mult(c, mult(b, a)), a) = mult(c, mult(mult(b, a), a)))) | (mult(mult(mult(mult(b, a), a), c), mult(b, a)) = mult(mult(mult(b, a), a), mult(mult(b, a), c))) | (~(mult(mult(mult(b, a), a), mult(b, mult(c, a))) = mult(mult(b, a), mult(mult(b, mult(c, a)), a)))) | (~(mult(mult(mult(b, a), mult(a, c)), mult(b, a)) = mult(mult(b, a), mult(mult(b, a), mult(a, c)))))), inference(lemma,lemma(discharge,[]))).
% 6.64/6.83 tff(17217,plain,
% 6.64/6.83 ($false),
% 6.64/6.83 inference(unit_resolution,[status(thm)],[17216, 17152, 17137, 16940, 15794, 16342, 10947, 10916, 16937, 17112, 17111, 16941])).
% 6.64/6.83 tff(17218,plain,((mult(mult(mult(b, a), mult(a, c)), mult(b, a)) = mult(mult(b, a), mult(mult(a, c), mult(b, a)))) | (~(mult(mult(mult(mult(b, a), mult(a, c)), a), b) = mult(mult(mult(b, a), mult(a, c)), mult(b, a)))) | (mult(a, b) = mult(b, a)) | (~(mult(mult(mult(mult(b, a), mult(a, c)), b), a) = mult(mult(mult(b, a), mult(a, c)), mult(a, b)))) | (mult(mult(mult(b, a), c), mult(mult(a, b), a)) = mult(mult(b, a), mult(mult(mult(a, b), a), c))) | (mult(mult(mult(b, mult(c, a)), a), mult(b, a)) = mult(mult(b, mult(c, a)), mult(a, mult(b, a))))), inference(lemma,lemma(discharge,[]))).
% 6.64/6.83 tff(17219,plain,
% 6.64/6.83 (mult(mult(mult(b, a), mult(a, c)), mult(b, a)) = mult(mult(b, a), mult(mult(a, c), mult(b, a)))),
% 6.64/6.83 inference(unit_resolution,[status(thm)],[17218, 15347, 1, 11888, 15832, 16007])).
% 6.64/6.83 tff(17220,plain,
% 6.64/6.83 ((~(mult(mult(mult(b, mult(c, a)), mult(b, a)), a) = mult(mult(b, mult(c, a)), mult(mult(b, a), a)))) | (~(mult(mult(mult(b, mult(c, a)), a), mult(b, a)) = mult(mult(b, mult(c, a)), mult(a, mult(b, a)))))),
% 6.64/6.83 inference(unit_resolution,[status(thm)],[7902, 16007])).
% 6.64/6.83 tff(17221,plain,
% 6.64/6.83 (~((~(mult(mult(mult(b, mult(c, a)), a), mult(b, a)) = mult(mult(b, mult(c, a)), mult(mult(b, a), a)))) | (~(mult(mult(mult(b, mult(c, a)), mult(b, a)), a) = mult(mult(b, mult(c, a)), mult(a, mult(b, a))))))),
% 6.64/6.83 inference(unit_resolution,[status(thm)],[7910, 17220])).
% 6.64/6.83 tff(17222,plain,
% 6.64/6.83 (mult(mult(mult(b, mult(c, a)), a), mult(b, a)) = mult(mult(b, mult(c, a)), mult(mult(b, a), a))),
% 6.64/6.83 inference(unit_resolution,[status(thm)],[7912, 17221])).
% 6.64/6.83 tff(17223,plain,
% 6.64/6.83 (mult(mult(mult(mult(b, a), a), c), mult(b, a)) = mult(mult(mult(b, a), mult(c, a)), mult(b, a))),
% 6.64/6.83 inference(symmetry,[status(thm)],[16354])).
% 6.64/6.83 tff(17224,plain,
% 6.64/6.83 (mult(mult(mult(b, a), a), mult(mult(c, b), a)) = mult(mult(mult(b, a), a), mult(c, mult(b, a)))),
% 6.64/6.83 inference(symmetry,[status(thm)],[17025])).
% 6.64/6.83 tff(17225,plain,
% 6.64/6.83 (mult(mult(b, a), mult(mult(b, a), mult(c, a))) = mult(mult(b, a), mult(mult(mult(b, a), a), c))),
% 6.64/6.83 inference(monotonicity,[status(thm)],[8355])).
% 6.64/6.83 tff(17226,plain,
% 6.64/6.83 (mult(mult(b, a), mult(mult(mult(b, a), a), c)) = mult(mult(b, a), mult(mult(b, a), mult(c, a)))),
% 6.64/6.83 inference(symmetry,[status(thm)],[17225])).
% 6.64/6.83 tff(17227,assumption,(mult(mult(mult(b, a), c), mult(mult(b, a), a)) = mult(mult(b, a), mult(mult(mult(b, a), a), c))), introduced(assumption)).
% 6.64/6.83 tff(17228,plain,
% 6.64/6.83 (mult(mult(b, mult(c, a)), mult(mult(b, a), a)) = mult(mult(mult(b, a), c), mult(mult(b, a), a))),
% 6.64/6.83 inference(symmetry,[status(thm)],[16993])).
% 6.64/6.83 tff(17229,plain,
% 6.64/6.83 (mult(mult(mult(b, a), mult(a, c)), mult(b, a)) = mult(mult(mult(b, a), mult(c, a)), mult(b, a))),
% 6.64/6.83 inference(transitivity,[status(thm)],[3535, 7954, 17228, 17227, 17226, 17026])).
% 6.64/6.83 tff(17230,plain,
% 6.64/6.83 (rd(mult(mult(mult(b, a), mult(a, c)), mult(b, a)), mult(b, a)) = rd(mult(mult(mult(b, a), mult(c, a)), mult(b, a)), mult(b, a))),
% 6.64/6.83 inference(monotonicity,[status(thm)],[17229])).
% 6.64/6.83 tff(17231,plain,
% 6.64/6.83 (mult(mult(mult(b, a), c), a) = mult(mult(b, a), mult(c, a))),
% 6.64/6.83 inference(transitivity,[status(thm)],[3530, 16358, 17230, 16344])).
% 6.64/6.83 tff(17232,plain,
% 6.64/6.83 ($false),
% 6.64/6.83 inference(unit_resolution,[status(thm)],[14297, 17231])).
% 6.64/6.83 tff(17233,plain,((~(mult(mult(mult(b, a), c), mult(mult(b, a), a)) = mult(mult(b, a), mult(mult(mult(b, a), a), c)))) | (mult(mult(mult(b, a), c), a) = mult(mult(b, a), mult(c, a))) | (~(mult(mult(mult(b, a), mult(c, a)), mult(b, a)) = mult(mult(b, a), mult(mult(b, a), mult(c, a))))) | (~(mult(mult(mult(b, mult(c, a)), a), mult(b, a)) = mult(mult(b, mult(c, a)), mult(mult(b, a), a))))), inference(lemma,lemma(discharge,[]))).
% 6.64/6.83 tff(17234,plain,
% 6.64/6.83 (~(mult(mult(mult(b, a), c), mult(mult(b, a), a)) = mult(mult(b, a), mult(mult(mult(b, a), a), c)))),
% 6.64/6.83 inference(unit_resolution,[status(thm)],[17233, 16910, 14297, 7954])).
% 6.64/6.83 tff(17235,assumption,(~(mult(mult(mult(b, a), a), mult(mult(c, b), a)) = mult(mult(b, a), mult(a, mult(mult(c, b), a))))), introduced(assumption)).
% 6.64/6.83 tff(17236,plain,
% 6.64/6.83 ((~(mult(mult(mult(b, a), a), mult(mult(c, b), a)) = mult(mult(b, a), mult(a, mult(mult(c, b), a))))) | (~(mult(mult(mult(b, a), mult(mult(c, b), a)), a) = mult(mult(b, a), mult(mult(mult(c, b), a), a))))),
% 6.64/6.83 inference(unit_resolution,[status(thm)],[17041, 17235])).
% 6.64/6.83 tff(17237,plain,
% 6.64/6.83 (mult(a, mult(mult(c, b), a)) = mult(mult(a, c), mult(b, a))),
% 6.64/6.83 inference(transitivity,[status(thm)],[8206, 16558, 93])).
% 6.64/6.83 tff(17238,plain,
% 6.64/6.83 (mult(mult(b, a), mult(a, mult(mult(c, b), a))) = mult(mult(b, a), mult(mult(a, c), mult(b, a)))),
% 6.64/6.83 inference(monotonicity,[status(thm)],[17237])).
% 6.64/6.83 tff(17239,plain,
% 6.64/6.83 (mult(mult(b, a), mult(mult(a, c), mult(b, a))) = mult(mult(b, a), mult(a, mult(mult(c, b), a)))),
% 6.64/6.83 inference(symmetry,[status(thm)],[17238])).
% 6.64/6.83 tff(17240,assumption,(~(mult(mult(mult(b, a), c), mult(mult(b, a), a)) = mult(mult(b, a), mult(mult(mult(b, a), a), c)))), introduced(assumption)).
% 6.64/6.83 tff(17241,plain,
% 6.64/6.83 ((~(mult(mult(mult(b, a), mult(mult(b, a), a)), c) = mult(mult(b, a), mult(c, mult(mult(b, a), a))))) | (~(mult(mult(mult(b, a), c), mult(mult(b, a), a)) = mult(mult(b, a), mult(mult(mult(b, a), a), c))))),
% 6.64/6.83 inference(unit_resolution,[status(thm)],[17016, 17240])).
% 6.64/6.84 tff(17242,plain,
% 6.64/6.84 (~((~(mult(mult(mult(b, a), mult(mult(b, a), a)), c) = mult(mult(b, a), mult(mult(mult(b, a), a), c)))) | (~(mult(mult(mult(b, a), c), mult(mult(b, a), a)) = mult(mult(b, a), mult(c, mult(mult(b, a), a))))))),
% 6.64/6.84 inference(unit_resolution,[status(thm)],[17014, 17241])).
% 6.64/6.84 tff(17243,plain,
% 6.64/6.84 (mult(mult(mult(b, a), c), mult(mult(b, a), a)) = mult(mult(b, a), mult(c, mult(mult(b, a), a)))),
% 6.64/6.84 inference(unit_resolution,[status(thm)],[17009, 17242])).
% 6.64/6.84 tff(17244,plain,
% 6.64/6.84 (mult(mult(b, a), mult(c, mult(mult(b, a), a))) = mult(mult(mult(b, a), c), mult(mult(b, a), a))),
% 6.64/6.84 inference(symmetry,[status(thm)],[17243])).
% 6.64/6.84 tff(17245,plain,
% 6.64/6.84 (mult(mult(b, a), mult(mult(mult(c, b), a), a)) = mult(mult(b, a), mult(a, mult(mult(c, b), a)))),
% 6.64/6.84 inference(transitivity,[status(thm)],[17024, 17244, 16993, 7955, 3534, 11366, 17239])).
% 6.64/6.84 tff(17246,plain,
% 6.64/6.84 ((mult(mult(mult(b, a), a), mult(mult(c, b), a)) = mult(mult(b, a), mult(mult(mult(c, b), a), a))) <=> (mult(mult(mult(b, a), a), mult(mult(c, b), a)) = mult(mult(b, a), mult(a, mult(mult(c, b), a))))),
% 6.64/6.84 inference(monotonicity,[status(thm)],[17245])).
% 6.64/6.84 tff(17247,plain,
% 6.64/6.84 ((mult(mult(mult(b, a), a), mult(mult(c, b), a)) = mult(mult(b, a), mult(a, mult(mult(c, b), a)))) <=> (mult(mult(mult(b, a), a), mult(mult(c, b), a)) = mult(mult(b, a), mult(mult(mult(c, b), a), a)))),
% 6.64/6.84 inference(symmetry,[status(thm)],[17246])).
% 6.64/6.84 tff(17248,plain,
% 6.64/6.84 ((mult(mult(b, a), mult(a, mult(mult(c, b), a))) = mult(mult(mult(b, a), a), mult(mult(c, b), a))) <=> (mult(mult(mult(b, a), a), mult(mult(c, b), a)) = mult(mult(b, a), mult(a, mult(mult(c, b), a))))),
% 6.64/6.84 inference(commutativity,[status(thm)],[])).
% 6.64/6.84 tff(17249,plain,
% 6.64/6.84 (mult(mult(b, a), mult(mult(mult(b, a), a), c)) = mult(mult(mult(b, a), a), mult(mult(c, b), a))),
% 6.64/6.84 inference(transitivity,[status(thm)],[16996, 17026, 16928, 16949, 17183])).
% 6.64/6.84 tff(17250,plain,
% 6.64/6.84 (mult(mult(mult(b, a), c), mult(mult(b, a), a)) = mult(mult(b, a), mult(a, mult(mult(c, b), a)))),
% 6.64/6.84 inference(transitivity,[status(thm)],[16993, 7955, 3534, 11366, 17239])).
% 6.64/6.84 tff(17251,plain,
% 6.64/6.84 ((mult(mult(mult(b, a), c), mult(mult(b, a), a)) = mult(mult(b, a), mult(mult(mult(b, a), a), c))) <=> (mult(mult(b, a), mult(a, mult(mult(c, b), a))) = mult(mult(mult(b, a), a), mult(mult(c, b), a)))),
% 6.64/6.84 inference(monotonicity,[status(thm)],[17250, 17249])).
% 6.64/6.84 tff(17252,plain,
% 6.64/6.84 ((mult(mult(mult(b, a), c), mult(mult(b, a), a)) = mult(mult(b, a), mult(mult(mult(b, a), a), c))) <=> (mult(mult(mult(b, a), a), mult(mult(c, b), a)) = mult(mult(b, a), mult(a, mult(mult(c, b), a))))),
% 6.64/6.84 inference(transitivity,[status(thm)],[17251, 17248])).
% 6.64/6.84 tff(17253,plain,
% 6.64/6.84 ((mult(mult(mult(b, a), c), mult(mult(b, a), a)) = mult(mult(b, a), mult(mult(mult(b, a), a), c))) <=> (mult(mult(mult(b, a), a), mult(mult(c, b), a)) = mult(mult(b, a), mult(mult(mult(c, b), a), a)))),
% 6.64/6.84 inference(transitivity,[status(thm)],[17252, 17247])).
% 6.64/6.84 tff(17254,plain,
% 6.64/6.84 ((~(mult(mult(mult(b, a), c), mult(mult(b, a), a)) = mult(mult(b, a), mult(mult(mult(b, a), a), c)))) <=> (~(mult(mult(mult(b, a), a), mult(mult(c, b), a)) = mult(mult(b, a), mult(mult(mult(c, b), a), a))))),
% 6.64/6.84 inference(monotonicity,[status(thm)],[17253])).
% 6.64/6.84 tff(17255,plain,
% 6.64/6.84 (~(mult(mult(mult(b, a), a), mult(mult(c, b), a)) = mult(mult(b, a), mult(mult(mult(c, b), a), a)))),
% 6.64/6.84 inference(modus_ponens,[status(thm)],[17240, 17254])).
% 6.64/6.84 tff(17256,plain,
% 6.64/6.84 ((~(mult(mult(mult(b, a), a), mult(mult(c, b), a)) = mult(mult(b, a), mult(mult(mult(c, b), a), a)))) | (~(mult(mult(mult(b, a), mult(mult(c, b), a)), a) = mult(mult(b, a), mult(a, mult(mult(c, b), a)))))),
% 6.64/6.84 inference(unit_resolution,[status(thm)],[17034, 17255])).
% 6.64/6.84 tff(17257,plain,
% 6.64/6.84 ($false),
% 6.64/6.84 inference(unit_resolution,[status(thm)],[17039, 17256, 17236])).
% 6.64/6.84 tff(17258,plain,((mult(mult(mult(b, a), a), mult(mult(c, b), a)) = mult(mult(b, a), mult(a, mult(mult(c, b), a)))) | (mult(mult(mult(b, a), c), mult(mult(b, a), a)) = mult(mult(b, a), mult(mult(mult(b, a), a), c))) | (~(mult(mult(mult(b, mult(c, a)), a), mult(b, a)) = mult(mult(b, mult(c, a)), mult(mult(b, a), a)))) | (~(mult(mult(mult(b, a), mult(a, c)), mult(b, a)) = mult(mult(b, a), mult(mult(a, c), mult(b, a))))) | (~(mult(mult(mult(a, c), b), a) = mult(mult(a, c), mult(b, a)))) | (~(mult(mult(c, mult(b, a)), a) = mult(c, mult(mult(b, a), a)))) | (~(mult(mult(c, b), a) = mult(c, mult(b, a)))) | (~(mult(mult(mult(mult(b, a), a), c), mult(b, a)) = mult(mult(mult(b, a), a), mult(c, mult(b, a))))) | (~(mult(mult(mult(b, a), mult(c, a)), mult(b, a)) = mult(mult(b, a), mult(mult(b, a), mult(c, a)))))), inference(lemma,lemma(discharge,[]))).
% 6.64/6.84 tff(17259,plain,
% 6.64/6.84 (mult(mult(mult(b, a), a), mult(mult(c, b), a)) = mult(mult(b, a), mult(a, mult(mult(c, b), a)))),
% 6.64/6.84 inference(unit_resolution,[status(thm)],[17258, 17234, 7954, 11366, 93, 16994, 533, 16949, 16910])).
% 6.64/6.84 tff(17260,plain,
% 6.64/6.84 (mult(mult(b, a), mult(a, mult(mult(c, b), a))) = mult(mult(mult(b, a), a), mult(mult(c, b), a))),
% 6.64/6.84 inference(symmetry,[status(thm)],[17259])).
% 6.64/6.84 tff(17261,plain,
% 6.64/6.84 (mult(mult(mult(b, a), c), mult(mult(b, a), a)) = mult(mult(b, a), mult(mult(mult(b, a), a), c))),
% 6.64/6.84 inference(transitivity,[status(thm)],[16993, 7955, 3534, 11366, 17239, 17260, 17224, 16979, 17223, 16910, 16997])).
% 6.64/6.84 tff(17262,plain,
% 6.64/6.84 ($false),
% 6.64/6.84 inference(unit_resolution,[status(thm)],[17234, 17261])).
% 6.64/6.84 tff(17263,plain,((~(mult(mult(mult(b, a), mult(c, a)), mult(b, a)) = mult(mult(b, a), mult(mult(b, a), mult(c, a))))) | (~(mult(mult(mult(b, mult(c, a)), a), mult(b, a)) = mult(mult(b, mult(c, a)), mult(mult(b, a), a)))) | (~(mult(mult(mult(mult(b, a), a), c), mult(b, a)) = mult(mult(mult(b, a), a), mult(c, mult(b, a))))) | (~(mult(mult(mult(b, a), mult(a, c)), mult(b, a)) = mult(mult(b, a), mult(mult(a, c), mult(b, a))))) | (~(mult(mult(mult(a, c), b), a) = mult(mult(a, c), mult(b, a)))) | (~(mult(mult(c, b), a) = mult(c, mult(b, a)))) | (~(mult(mult(c, mult(b, a)), a) = mult(c, mult(mult(b, a), a)))) | (mult(mult(mult(b, a), c), a) = mult(mult(b, a), mult(c, a)))), inference(lemma,lemma(discharge,[]))).
% 6.64/6.84 tff(17264,plain,
% 6.64/6.84 (~(mult(mult(mult(b, a), mult(c, a)), mult(b, a)) = mult(mult(b, a), mult(mult(b, a), mult(c, a))))),
% 6.64/6.84 inference(unit_resolution,[status(thm)],[17263, 17222, 16936, 17219, 15794, 16940, 16937, 16342])).
% 6.64/6.84 tff(17265,plain,
% 6.64/6.84 ((~(mult(mult(mult(b, a), mult(b, a)), mult(c, a)) = mult(mult(b, a), mult(mult(c, a), mult(b, a))))) | (~(mult(mult(mult(b, a), mult(c, a)), mult(b, a)) = mult(mult(b, a), mult(mult(b, a), mult(c, a)))))),
% 6.64/6.84 inference(unit_resolution,[status(thm)],[8008, 17264])).
% 6.64/6.84 tff(17266,plain,
% 6.64/6.84 (~((~(mult(mult(mult(b, a), mult(c, a)), mult(b, a)) = mult(mult(b, a), mult(mult(c, a), mult(b, a))))) | (~(mult(mult(mult(b, a), mult(b, a)), mult(c, a)) = mult(mult(b, a), mult(mult(b, a), mult(c, a))))))),
% 6.64/6.84 inference(unit_resolution,[status(thm)],[16387, 17265])).
% 6.64/6.84 tff(17267,plain,
% 6.64/6.84 (mult(mult(mult(b, a), mult(c, a)), mult(b, a)) = mult(mult(b, a), mult(mult(c, a), mult(b, a)))),
% 6.64/6.84 inference(unit_resolution,[status(thm)],[16379, 17266])).
% 6.64/6.84 tff(17268,plain,
% 6.64/6.84 (~(mult(mult(mult(b, a), a), mult(mult(c, a), b)) = mult(mult(b, a), mult(mult(mult(c, a), b), a)))),
% 6.64/6.84 inference(unit_resolution,[status(thm)],[16988, 17267, 15733, 16936, 15796])).
% 6.64/6.84 tff(17269,plain,
% 6.64/6.84 ((~(mult(mult(mult(b, a), a), mult(mult(c, a), b)) = mult(mult(b, a), mult(mult(mult(c, a), b), a)))) | (~(mult(mult(mult(b, a), mult(mult(c, a), b)), a) = mult(mult(b, a), mult(a, mult(mult(c, a), b)))))),
% 6.64/6.84 inference(unit_resolution,[status(thm)],[14976, 17268])).
% 6.64/6.84 tff(17270,plain,
% 6.64/6.84 (~((~(mult(mult(mult(b, a), mult(mult(c, a), b)), a) = mult(mult(b, a), mult(mult(mult(c, a), b), a)))) | (~(mult(mult(mult(b, a), a), mult(mult(c, a), b)) = mult(mult(b, a), mult(a, mult(mult(c, a), b))))))),
% 6.64/6.84 inference(unit_resolution,[status(thm)],[12220, 17269])).
% 6.64/6.84 tff(17271,plain,
% 6.64/6.84 (mult(mult(mult(b, a), mult(mult(c, a), b)), a) = mult(mult(b, a), mult(mult(mult(c, a), b), a))),
% 6.64/6.84 inference(unit_resolution,[status(thm)],[12222, 17270])).
% 6.64/6.84 tff(17272,plain,
% 6.64/6.84 (~(mult(mult(b, mult(mult(a, c), a)), mult(a, b)) = mult(b, mult(mult(mult(a, c), a), mult(a, b))))),
% 6.64/6.84 inference(unit_resolution,[status(thm)],[16854, 17271, 15835, 1, 11888])).
% 6.64/6.84 tff(17273,plain,
% 6.64/6.84 ((~(mult(mult(b, mult(a, b)), mult(mult(a, c), a)) = mult(b, mult(mult(a, b), mult(mult(a, c), a))))) | (~(mult(mult(b, mult(mult(a, c), a)), mult(a, b)) = mult(b, mult(mult(mult(a, c), a), mult(a, b)))))),
% 6.64/6.84 inference(unit_resolution,[status(thm)],[11520, 17272])).
% 6.64/6.84 tff(17274,plain,
% 6.64/6.84 (~((~(mult(mult(b, mult(a, b)), mult(mult(a, c), a)) = mult(b, mult(mult(mult(a, c), a), mult(a, b))))) | (~(mult(mult(b, mult(mult(a, c), a)), mult(a, b)) = mult(b, mult(mult(a, b), mult(mult(a, c), a))))))),
% 6.64/6.84 inference(unit_resolution,[status(thm)],[11528, 17273])).
% 6.64/6.84 tff(17275,plain,
% 6.64/6.84 (mult(mult(b, mult(mult(a, c), a)), mult(a, b)) = mult(b, mult(mult(a, b), mult(mult(a, c), a)))),
% 6.64/6.84 inference(unit_resolution,[status(thm)],[11530, 17274])).
% 6.64/6.84 tff(17276,plain,
% 6.64/6.84 (mult(b, mult(mult(a, c), mult(mult(a, b), a))) = mult(b, mult(a, mult(c, mult(mult(a, b), a))))),
% 6.64/6.84 inference(monotonicity,[status(thm)],[16336])).
% 6.64/6.84 tff(17277,plain,
% 6.64/6.84 (~(mult(mult(b, mult(a, c)), mult(mult(a, b), a)) = mult(b, mult(mult(mult(a, b), a), mult(a, c))))),
% 6.64/6.84 inference(unit_resolution,[status(thm)],[16524, 17275, 16004, 11888, 15825])).
% 6.64/6.84 tff(17278,plain,
% 6.64/6.84 ((~(mult(mult(b, mult(mult(a, b), a)), mult(a, c)) = mult(b, mult(mult(a, c), mult(mult(a, b), a))))) | (~(mult(mult(b, mult(a, c)), mult(mult(a, b), a)) = mult(b, mult(mult(mult(a, b), a), mult(a, c)))))),
% 6.64/6.84 inference(unit_resolution,[status(thm)],[13212, 17277])).
% 6.64/6.84 tff(17279,plain,
% 6.64/6.84 (~((~(mult(mult(b, mult(mult(a, b), a)), mult(a, c)) = mult(b, mult(mult(mult(a, b), a), mult(a, c))))) | (~(mult(mult(b, mult(a, c)), mult(mult(a, b), a)) = mult(b, mult(mult(a, c), mult(mult(a, b), a))))))),
% 6.64/6.84 inference(unit_resolution,[status(thm)],[13216, 30, 17278])).
% 6.64/6.84 tff(17280,plain,
% 6.64/6.84 (mult(mult(b, mult(a, c)), mult(mult(a, b), a)) = mult(b, mult(mult(a, c), mult(mult(a, b), a)))),
% 6.64/6.84 inference(unit_resolution,[status(thm)],[14684, 17279])).
% 6.64/6.84 tff(17281,plain,
% 6.64/6.84 (mult(mult(b, mult(a, c)), mult(mult(a, b), a)) = mult(b, mult(mult(mult(a, b), a), mult(a, c)))),
% 6.64/6.84 inference(transitivity,[status(thm)],[17280, 17276, 16832, 16836, 11399, 17271, 11948, 16369, 11155, 7884, 11596, 11888, 11595, 17275, 16006])).
% 6.64/6.84 tff(17282,plain,
% 6.64/6.84 ($false),
% 6.64/6.84 inference(unit_resolution,[status(thm)],[17277, 17281])).
% 6.64/6.84 tff(17283,plain,((mult(mult(mult(mult(b, a), mult(a, c)), b), a) = mult(mult(mult(b, a), mult(a, c)), mult(b, a))) | (mult(a, b) = mult(b, a)) | (mult(mult(mult(b, a), c), mult(mult(a, b), a)) = mult(mult(b, a), mult(mult(mult(a, b), a), c)))), inference(lemma,lemma(discharge,[]))).
% 6.64/6.84 tff(17284,plain,
% 6.64/6.84 (mult(mult(mult(mult(b, a), mult(a, c)), b), a) = mult(mult(mult(b, a), mult(a, c)), mult(b, a))),
% 6.64/6.84 inference(unit_resolution,[status(thm)],[17283, 15832, 1])).
% 6.64/6.84 tff(17285,plain,
% 6.64/6.84 ((~![B: $i, A: $i] : (rd(mult(A, B), B) = A)) | (rd(mult(mult(a, c), mult(b, a)), mult(b, a)) = mult(a, c))),
% 6.64/6.84 inference(quant_inst,[status(thm)],[])).
% 6.64/6.84 tff(17286,plain,
% 6.64/6.84 (rd(mult(mult(a, c), mult(b, a)), mult(b, a)) = mult(a, c)),
% 6.64/6.84 inference(unit_resolution,[status(thm)],[17285, 72])).
% 6.64/6.84 tff(17287,plain,
% 6.64/6.84 (mult(mult(b, a), mult(c, mult(mult(a, b), a))) = mult(mult(b, a), mult(mult(a, mult(c, b)), a))),
% 6.64/6.84 inference(transitivity,[status(thm)],[11397, 11155, 7884, 11388, 7850, 11366, 16561])).
% 6.64/6.84 tff(17288,plain,
% 6.64/6.84 (ld(mult(b, a), mult(mult(b, a), mult(c, mult(mult(a, b), a)))) = ld(mult(b, a), mult(mult(b, a), mult(mult(a, mult(c, b)), a)))),
% 6.64/6.84 inference(monotonicity,[status(thm)],[17287])).
% 6.64/6.84 tff(17289,plain,
% 6.64/6.84 (mult(mult(c, a), mult(b, a)) = mult(mult(a, c), mult(b, a))),
% 6.64/6.84 inference(transitivity,[status(thm)],[4520, 4516, 12145, 17288, 16606, 16558, 93])).
% 6.64/6.84 tff(17290,plain,
% 6.64/6.84 (rd(mult(mult(c, a), mult(b, a)), mult(b, a)) = rd(mult(mult(a, c), mult(b, a)), mult(b, a))),
% 6.64/6.84 inference(monotonicity,[status(thm)],[17289])).
% 6.64/6.84 tff(17291,plain,
% 6.64/6.84 ((~![B: $i, A: $i] : (rd(mult(A, B), B) = A)) | (rd(mult(mult(c, a), mult(b, a)), mult(b, a)) = mult(c, a))),
% 6.64/6.84 inference(quant_inst,[status(thm)],[])).
% 6.64/6.84 tff(17292,plain,
% 6.64/6.84 (rd(mult(mult(c, a), mult(b, a)), mult(b, a)) = mult(c, a)),
% 6.64/6.84 inference(unit_resolution,[status(thm)],[17291, 72])).
% 6.64/6.84 tff(17293,plain,
% 6.64/6.84 (mult(c, a) = rd(mult(mult(c, a), mult(b, a)), mult(b, a))),
% 6.64/6.84 inference(symmetry,[status(thm)],[17292])).
% 6.64/6.84 tff(17294,plain,
% 6.64/6.84 (mult(c, a) = mult(a, c)),
% 6.64/6.84 inference(transitivity,[status(thm)],[17293, 17290, 17286])).
% 6.64/6.84 tff(17295,plain,
% 6.64/6.84 ($false),
% 6.64/6.84 inference(unit_resolution,[status(thm)],[2466, 17294])).
% 6.64/6.84 tff(17296,plain,((~(mult(mult(mult(b, a), c), mult(mult(a, b), a)) = mult(mult(b, a), mult(c, mult(mult(a, b), a))))) | (mult(c, a) = mult(a, c)) | (~(mult(mult(mult(a, c), b), a) = mult(mult(a, c), mult(b, a)))) | (~(mult(mult(c, a), mult(b, a)) = mult(c, mult(a, mult(b, a))))) | (~(mult(mult(mult(mult(b, a), mult(a, c)), b), a) = mult(mult(mult(b, a), mult(a, c)), mult(b, a)))) | (~(mult(mult(mult(b, a), mult(a, c)), mult(b, a)) = mult(mult(b, a), mult(mult(a, c), mult(b, a)))))), inference(lemma,lemma(discharge,[]))).
% 6.64/6.84 tff(17297,plain,
% 6.64/6.84 (~(mult(mult(mult(b, a), mult(a, c)), mult(b, a)) = mult(mult(b, a), mult(mult(a, c), mult(b, a))))),
% 6.64/6.84 inference(unit_resolution,[status(thm)],[17296, 17284, 15835, 15794, 15831, 15827])).
% 6.64/6.84 tff(17298,plain,
% 6.64/6.84 ((~(mult(mult(mult(b, a), mult(a, c)), mult(b, a)) = mult(mult(b, a), mult(mult(a, c), mult(b, a))))) | (~(mult(mult(mult(b, a), mult(b, a)), mult(a, c)) = mult(mult(b, a), mult(mult(b, a), mult(a, c)))))),
% 6.64/6.84 inference(unit_resolution,[status(thm)],[11151, 17297])).
% 6.64/6.84 tff(17299,plain,
% 6.64/6.84 (~((~(mult(mult(mult(b, a), mult(b, a)), mult(a, c)) = mult(mult(b, a), mult(mult(a, c), mult(b, a))))) | (~(mult(mult(mult(b, a), mult(a, c)), mult(b, a)) = mult(mult(b, a), mult(mult(b, a), mult(a, c))))))),
% 6.64/6.84 inference(unit_resolution,[status(thm)],[11149, 17298])).
% 6.64/6.84 tff(17300,plain,
% 6.64/6.84 (mult(mult(mult(b, a), mult(a, c)), mult(b, a)) = mult(mult(b, a), mult(mult(b, a), mult(a, c)))),
% 6.64/6.84 inference(unit_resolution,[status(thm)],[11137, 17299])).
% 6.64/6.84 tff(17301,plain,
% 6.64/6.84 (mult(mult(b, a), mult(c, mult(mult(a, b), a))) = mult(mult(b, a), mult(mult(b, a), mult(a, c)))),
% 6.64/6.84 inference(transitivity,[status(thm)],[16369, 11155, 7884, 11388, 17284, 17300])).
% 6.64/6.84 tff(17302,plain,
% 6.64/6.84 (ld(mult(b, a), mult(mult(b, a), mult(c, mult(mult(a, b), a)))) = ld(mult(b, a), mult(mult(b, a), mult(mult(b, a), mult(a, c))))),
% 6.64/6.84 inference(monotonicity,[status(thm)],[17301])).
% 6.64/6.84 tff(17303,plain,
% 6.64/6.84 (mult(mult(mult(c, a), b), a) = mult(mult(b, mult(c, a)), a)),
% 6.64/6.84 inference(transitivity,[status(thm)],[2807, 12145, 17302, 11251, 4650, 11925])).
% 6.64/6.84 tff(17304,plain,
% 6.64/6.84 (rd(mult(mult(mult(c, a), b), a), a) = rd(mult(mult(b, mult(c, a)), a), a)),
% 6.64/6.84 inference(monotonicity,[status(thm)],[17303])).
% 6.64/6.84 tff(17305,plain,
% 6.64/6.84 (rd(mult(mult(b, mult(c, a)), a), a) = rd(mult(mult(mult(c, a), b), a), a)),
% 6.64/6.84 inference(symmetry,[status(thm)],[17304])).
% 6.64/6.84 tff(17306,plain,
% 6.64/6.84 (mult(b, mult(c, a)) = mult(mult(c, a), b)),
% 6.64/6.84 inference(transitivity,[status(thm)],[11273, 17305, 3844])).
% 6.64/6.84 tff(17307,plain,
% 6.64/6.84 (mult(mult(b, mult(c, a)), mult(mult(a, a), b)) = mult(mult(mult(c, a), b), mult(mult(a, a), b))),
% 6.64/6.84 inference(monotonicity,[status(thm)],[17306])).
% 6.64/6.84 tff(17308,plain,
% 6.64/6.84 (mult(mult(mult(c, a), b), mult(mult(a, a), b)) = mult(mult(b, mult(c, a)), mult(mult(a, a), b))),
% 6.64/6.84 inference(symmetry,[status(thm)],[17307])).
% 6.64/6.84 tff(17309,plain,
% 6.64/6.84 (mult(mult(mult(c, a), b), mult(a, mult(a, b))) = mult(mult(b, mult(c, a)), mult(a, mult(a, b)))),
% 6.64/6.84 inference(transitivity,[status(thm)],[8478, 17308, 15822])).
% 6.64/6.84 tff(17310,plain,
% 6.64/6.84 (mult(mult(c, a), b) = mult(b, mult(c, a))),
% 6.64/6.84 inference(transitivity,[status(thm)],[5995, 17304, 848])).
% 6.64/6.84 tff(17311,plain,
% 6.64/6.84 (mult(mult(mult(c, a), b), mult(a, b)) = mult(mult(b, mult(c, a)), mult(a, b))),
% 6.64/6.84 inference(monotonicity,[status(thm)],[17310])).
% 6.64/6.84 tff(17312,plain,
% 6.64/6.84 (mult(mult(b, mult(c, a)), mult(a, b)) = mult(mult(mult(c, a), b), mult(a, b))),
% 6.64/6.84 inference(symmetry,[status(thm)],[17311])).
% 6.64/6.84 tff(17313,plain,
% 6.64/6.84 (mult(mult(mult(b, mult(c, a)), mult(a, b)), a) = mult(mult(mult(mult(c, a), b), mult(a, b)), a)),
% 6.64/6.84 inference(monotonicity,[status(thm)],[17312])).
% 6.64/6.85 tff(17314,plain,
% 6.64/6.85 (mult(mult(mult(mult(c, a), b), mult(a, b)), a) = mult(mult(mult(b, mult(c, a)), mult(a, b)), a)),
% 6.64/6.85 inference(symmetry,[status(thm)],[17313])).
% 6.64/6.85 tff(17315,plain,
% 6.64/6.85 ((mult(mult(mult(mult(c, a), b), mult(a, b)), a) = mult(mult(mult(c, a), b), mult(a, mult(a, b)))) <=> (mult(mult(mult(b, mult(c, a)), mult(a, b)), a) = mult(mult(b, mult(c, a)), mult(a, mult(a, b))))),
% 6.64/6.85 inference(monotonicity,[status(thm)],[17314, 17309])).
% 6.64/6.85 tff(17316,plain,
% 6.64/6.85 ((mult(mult(mult(b, mult(c, a)), mult(a, b)), a) = mult(mult(b, mult(c, a)), mult(a, mult(a, b)))) <=> (mult(mult(mult(mult(c, a), b), mult(a, b)), a) = mult(mult(mult(c, a), b), mult(a, mult(a, b))))),
% 6.64/6.85 inference(symmetry,[status(thm)],[17315])).
% 6.64/6.85 tff(17317,plain,
% 6.64/6.85 ((mult(mult(b, mult(c, a)), mult(a, mult(a, b))) = mult(mult(mult(b, mult(c, a)), mult(a, b)), a)) <=> (mult(mult(mult(b, mult(c, a)), mult(a, b)), a) = mult(mult(b, mult(c, a)), mult(a, mult(a, b))))),
% 6.64/6.85 inference(commutativity,[status(thm)],[])).
% 6.64/6.85 tff(17318,plain,
% 6.64/6.85 (mult(c, mult(mult(a, b), a)) = mult(mult(b, a), mult(a, c))),
% 6.64/6.85 inference(transitivity,[status(thm)],[12145, 17302, 11251])).
% 6.64/6.85 tff(17319,plain,
% 6.64/6.85 (mult(mult(c, mult(mult(a, b), a)), mult(b, a)) = mult(mult(mult(b, a), mult(a, c)), mult(b, a))),
% 6.64/6.85 inference(monotonicity,[status(thm)],[17318])).
% 6.64/6.85 tff(17320,plain,
% 6.64/6.85 (mult(mult(mult(b, a), mult(a, c)), mult(b, a)) = mult(mult(c, mult(mult(a, b), a)), mult(b, a))),
% 6.64/6.85 inference(symmetry,[status(thm)],[17319])).
% 6.64/6.85 tff(17321,plain,
% 6.64/6.85 (mult(mult(c, mult(mult(a, b), a)), b) = mult(mult(mult(b, a), mult(a, c)), b)),
% 6.64/6.85 inference(monotonicity,[status(thm)],[17318])).
% 6.64/6.85 tff(17322,plain,
% 6.64/6.85 (mult(mult(mult(c, mult(mult(a, b), a)), b), a) = mult(mult(mult(mult(b, a), mult(a, c)), b), a)),
% 6.64/6.85 inference(monotonicity,[status(thm)],[17321])).
% 6.64/6.85 tff(17323,plain,
% 6.64/6.85 (mult(mult(mult(c, mult(mult(a, b), a)), b), a) = mult(mult(c, mult(mult(a, b), a)), mult(b, a))),
% 6.64/6.85 inference(transitivity,[status(thm)],[17322, 17284, 17320])).
% 6.64/6.85 tff(17324,plain,
% 6.64/6.85 (~(mult(mult(mult(mult(c, a), b), a), mult(a, b)) = mult(mult(mult(c, a), b), mult(mult(a, b), a)))),
% 6.64/6.85 inference(unit_resolution,[status(thm)],[4333, 17323, 1])).
% 6.64/6.85 tff(17325,plain,
% 6.64/6.85 ((~(mult(mult(mult(mult(c, a), b), a), mult(a, b)) = mult(mult(mult(c, a), b), mult(mult(a, b), a)))) | (~(mult(mult(mult(mult(c, a), b), mult(a, b)), a) = mult(mult(mult(c, a), b), mult(a, mult(a, b)))))),
% 6.64/6.85 inference(unit_resolution,[status(thm)],[4304, 17324])).
% 6.64/6.85 tff(17326,plain,
% 6.64/6.85 (~((~(mult(mult(mult(mult(c, a), b), a), mult(a, b)) = mult(mult(mult(c, a), b), mult(a, mult(a, b))))) | (~(mult(mult(mult(mult(c, a), b), mult(a, b)), a) = mult(mult(mult(c, a), b), mult(mult(a, b), a)))))),
% 6.64/6.85 inference(unit_resolution,[status(thm)],[4222, 17325])).
% 6.64/6.85 tff(17327,plain,
% 6.64/6.85 (mult(mult(mult(mult(c, a), b), mult(a, b)), a) = mult(mult(mult(c, a), b), mult(mult(a, b), a))),
% 6.64/6.85 inference(unit_resolution,[status(thm)],[4228, 17326])).
% 6.64/6.85 tff(17328,plain,
% 6.64/6.85 (mult(mult(mult(c, a), b), mult(mult(a, b), a)) = mult(mult(mult(mult(c, a), b), mult(a, b)), a)),
% 6.64/6.85 inference(symmetry,[status(thm)],[17327])).
% 6.64/6.85 tff(17329,plain,
% 6.64/6.85 (mult(mult(mult(c, a), b), mult(mult(a, b), a)) = mult(mult(b, mult(c, a)), mult(mult(a, b), a))),
% 6.64/6.85 inference(monotonicity,[status(thm)],[17310])).
% 6.64/6.85 tff(17330,plain,
% 6.64/6.85 (mult(mult(b, mult(c, a)), mult(mult(a, b), a)) = mult(mult(mult(c, a), b), mult(mult(a, b), a))),
% 6.64/6.85 inference(symmetry,[status(thm)],[17329])).
% 6.64/6.85 tff(17331,plain,
% 6.64/6.85 (mult(mult(mult(b, a), mult(a, c)), mult(b, a)) = mult(mult(mult(mult(b, a), mult(a, c)), b), a)),
% 6.64/6.85 inference(symmetry,[status(thm)],[17284])).
% 6.64/6.85 tff(17332,plain,
% 6.64/6.85 (mult(mult(b, a), mult(mult(b, a), mult(a, c))) = mult(mult(mult(b, a), mult(a, c)), mult(b, a))),
% 6.64/6.85 inference(symmetry,[status(thm)],[17300])).
% 6.64/6.85 tff(17333,plain,
% 6.64/6.85 (mult(c, mult(a, b)) = mult(mult(c, a), b)),
% 6.64/6.85 inference(symmetry,[status(thm)],[15733])).
% 6.64/6.85 tff(17334,plain,
% 6.64/6.85 (mult(a, mult(c, mult(a, b))) = mult(a, mult(mult(c, a), b))),
% 6.64/6.85 inference(monotonicity,[status(thm)],[17333])).
% 6.64/6.85 tff(17335,plain,
% 6.64/6.85 (mult(mult(a, mult(c, a)), b) = mult(a, mult(mult(c, a), b))),
% 6.64/6.85 inference(transitivity,[status(thm)],[8214, 16042, 15757, 17334])).
% 6.64/6.85 tff(17336,plain,
% 6.64/6.85 (~(mult(mult(mult(a, c), a), b) = mult(mult(a, c), mult(b, a)))),
% 6.64/6.85 inference(unit_resolution,[status(thm)],[16050, 17335, 15796, 16046])).
% 6.64/6.85 tff(17337,plain,
% 6.64/6.85 (~(mult(mult(mult(a, c), b), a) = mult(mult(a, c), mult(a, b)))),
% 6.64/6.85 inference(modus_ponens,[status(thm)],[17336, 16045])).
% 6.64/6.85 tff(17338,plain,
% 6.64/6.85 (~(mult(mult(mult(a, c), mult(b, a)), a) = mult(mult(a, c), mult(a, mult(b, a))))),
% 6.64/6.85 inference(unit_resolution,[status(thm)],[16810, 17337])).
% 6.64/6.85 tff(17339,plain,
% 6.64/6.85 ((~(mult(mult(mult(a, c), a), mult(b, a)) = mult(mult(a, c), mult(mult(b, a), a)))) | (~(mult(mult(mult(a, c), mult(b, a)), a) = mult(mult(a, c), mult(a, mult(b, a)))))),
% 6.64/6.85 inference(unit_resolution,[status(thm)],[16812, 17338])).
% 6.64/6.85 tff(17340,plain,
% 6.64/6.85 (~((~(mult(mult(mult(a, c), a), mult(b, a)) = mult(mult(a, c), mult(a, mult(b, a))))) | (~(mult(mult(mult(a, c), mult(b, a)), a) = mult(mult(a, c), mult(mult(b, a), a)))))),
% 6.64/6.85 inference(unit_resolution,[status(thm)],[16816, 30, 17339])).
% 6.64/6.85 tff(17341,plain,
% 6.64/6.85 (mult(mult(mult(a, c), a), mult(b, a)) = mult(mult(a, c), mult(a, mult(b, a)))),
% 6.64/6.85 inference(unit_resolution,[status(thm)],[16818, 17340])).
% 6.64/6.85 tff(17342,plain,
% 6.64/6.85 (mult(mult(mult(a, c), a), mult(b, a)) = mult(a, mult(c, mult(mult(a, b), a)))),
% 6.64/6.85 inference(transitivity,[status(thm)],[17341, 10731, 16336])).
% 6.64/6.85 tff(17343,plain,
% 6.64/6.85 (mult(b, mult(mult(mult(a, c), a), mult(b, a))) = mult(b, mult(a, mult(c, mult(mult(a, b), a))))),
% 6.64/6.85 inference(monotonicity,[status(thm)],[17342])).
% 6.64/6.85 tff(17344,plain,
% 6.64/6.85 (mult(b, mult(a, mult(c, mult(mult(a, b), a)))) = mult(b, mult(mult(mult(a, c), a), mult(b, a)))),
% 6.64/6.85 inference(symmetry,[status(thm)],[17343])).
% 6.64/6.85 tff(17345,plain,
% 6.64/6.85 (ld(mult(b, a), mult(mult(b, a), mult(mult(b, a), mult(a, c)))) = ld(mult(b, a), mult(mult(b, a), mult(c, mult(mult(a, b), a))))),
% 6.64/6.85 inference(symmetry,[status(thm)],[17302])).
% 6.64/6.85 tff(17346,plain,
% 6.64/6.85 (mult(mult(b, a), mult(a, c)) = mult(mult(mult(c, a), b), a)),
% 6.64/6.85 inference(transitivity,[status(thm)],[11270, 17345, 11130, 2808])).
% 6.64/6.85 tff(17347,plain,
% 6.64/6.85 (mult(a, mult(mult(b, a), mult(a, c))) = mult(a, mult(mult(mult(c, a), b), a))),
% 6.64/6.85 inference(monotonicity,[status(thm)],[17346])).
% 6.64/6.85 tff(17348,plain,
% 6.64/6.85 (~(mult(mult(mult(mult(a, a), c), b), a) = mult(mult(mult(a, a), c), mult(a, b)))),
% 6.64/6.85 inference(unit_resolution,[status(thm)],[16582, 17337, 17119, 16054, 16053])).
% 6.64/6.85 tff(17349,plain,
% 6.64/6.85 ((~(mult(mult(mult(mult(a, a), c), a), b) = mult(mult(mult(a, a), c), mult(b, a)))) | (~(mult(mult(mult(mult(a, a), c), b), a) = mult(mult(mult(a, a), c), mult(a, b))))),
% 6.64/6.85 inference(unit_resolution,[status(thm)],[16584, 17348])).
% 6.64/6.85 tff(17350,plain,
% 6.64/6.85 (~((~(mult(mult(mult(mult(a, a), c), a), b) = mult(mult(mult(a, a), c), mult(a, b)))) | (~(mult(mult(mult(mult(a, a), c), b), a) = mult(mult(mult(a, a), c), mult(b, a)))))),
% 6.64/6.85 inference(unit_resolution,[status(thm)],[16592, 17349])).
% 6.64/6.85 tff(17351,plain,
% 6.64/6.85 (mult(mult(mult(mult(a, a), c), b), a) = mult(mult(mult(a, a), c), mult(b, a))),
% 6.64/6.85 inference(unit_resolution,[status(thm)],[16636, 17350])).
% 6.64/6.85 tff(17352,plain,
% 6.64/6.85 (mult(mult(a, mult(b, a)), mult(a, c)) = mult(a, mult(mult(b, a), mult(a, c)))),
% 6.64/6.85 inference(unit_resolution,[status(thm)],[16651, 17351, 15794, 16054, 16053])).
% 6.64/6.85 tff(17353,plain,
% 6.64/6.85 (mult(mult(mult(a, b), a), mult(a, c)) = mult(a, mult(c, mult(mult(a, b), a)))),
% 6.64/6.85 inference(transitivity,[status(thm)],[11304, 17352, 17347, 11036])).
% 6.64/6.85 tff(17354,plain,
% 6.64/6.85 (mult(b, mult(mult(mult(a, b), a), mult(a, c))) = mult(b, mult(a, mult(c, mult(mult(a, b), a))))),
% 6.64/6.85 inference(monotonicity,[status(thm)],[17353])).
% 6.64/6.85 tff(17355,plain,
% 6.64/6.85 (mult(a, mult(mult(b, a), mult(a, c))) = mult(mult(a, mult(b, a)), mult(a, c))),
% 6.64/6.85 inference(symmetry,[status(thm)],[17352])).
% 6.64/6.85 tff(17356,plain,
% 6.64/6.85 (mult(a, mult(mult(b, a), mult(a, c))) = mult(mult(mult(a, b), a), mult(a, c))),
% 6.64/6.85 inference(transitivity,[status(thm)],[17355, 11305])).
% 6.64/6.85 tff(17357,plain,
% 6.64/6.85 (mult(b, mult(a, mult(mult(b, a), mult(a, c)))) = mult(b, mult(mult(mult(a, b), a), mult(a, c)))),
% 6.64/6.85 inference(monotonicity,[status(thm)],[17356])).
% 6.64/6.85 tff(17358,plain,
% 6.64/6.85 (mult(b, mult(a, mult(mult(b, a), mult(a, c)))) = mult(b, mult(mult(mult(a, c), a), mult(b, a)))),
% 6.64/6.85 inference(transitivity,[status(thm)],[17357, 17354, 17344])).
% 6.64/6.85 tff(17359,plain,
% 6.64/6.85 (mult(mult(b, mult(mult(a, c), a)), mult(b, a)) = mult(mult(mult(b, a), mult(a, c)), mult(b, a))),
% 6.64/6.85 inference(monotonicity,[status(thm)],[11584])).
% 6.64/6.85 tff(17360,plain,
% 6.64/6.85 (mult(mult(mult(b, a), mult(a, c)), mult(b, a)) = mult(mult(b, mult(mult(a, c), a)), mult(b, a))),
% 6.64/6.85 inference(symmetry,[status(thm)],[17359])).
% 6.64/6.85 tff(17361,plain,
% 6.64/6.85 (mult(mult(b, a), mult(mult(b, a), mult(a, c))) = mult(mult(b, mult(mult(a, c), a)), mult(b, a))),
% 6.64/6.85 inference(transitivity,[status(thm)],[17332, 17360])).
% 6.64/6.85 tff(17362,plain,
% 6.64/6.85 ((mult(mult(b, a), mult(mult(b, a), mult(a, c))) = mult(b, mult(a, mult(mult(b, a), mult(a, c))))) <=> (mult(mult(b, mult(mult(a, c), a)), mult(b, a)) = mult(b, mult(mult(mult(a, c), a), mult(b, a))))),
% 6.64/6.85 inference(monotonicity,[status(thm)],[17361, 17358])).
% 6.64/6.85 tff(17363,plain,
% 6.64/6.85 ((mult(mult(b, mult(mult(a, c), a)), mult(b, a)) = mult(b, mult(mult(mult(a, c), a), mult(b, a)))) <=> (mult(mult(b, a), mult(mult(b, a), mult(a, c))) = mult(b, mult(a, mult(mult(b, a), mult(a, c)))))),
% 6.64/6.85 inference(symmetry,[status(thm)],[17362])).
% 6.64/6.85 tff(17364,plain,
% 6.64/6.85 (mult(a, mult(mult(c, a), b)) = mult(a, mult(b, mult(c, a)))),
% 6.64/6.85 inference(monotonicity,[status(thm)],[17310])).
% 6.64/6.85 tff(17365,plain,
% 6.64/6.85 (mult(a, mult(c, mult(a, b))) = mult(mult(mult(a, b), a), c)),
% 6.64/6.85 inference(transitivity,[status(thm)],[17334, 17364, 13277, 16339, 8336])).
% 6.64/6.85 tff(17366,plain,
% 6.64/6.85 (mult(mult(b, a), mult(a, mult(c, mult(a, b)))) = mult(mult(b, a), mult(mult(mult(a, b), a), c))),
% 6.64/6.85 inference(monotonicity,[status(thm)],[17365])).
% 6.64/6.85 tff(17367,plain,
% 6.64/6.85 (mult(a, mult(mult(c, a), b)) = mult(a, mult(c, mult(a, b)))),
% 6.64/6.85 inference(symmetry,[status(thm)],[17334])).
% 6.64/6.85 tff(17368,plain,
% 6.64/6.85 (mult(mult(b, a), mult(a, mult(mult(c, a), b))) = mult(mult(b, a), mult(a, mult(c, mult(a, b))))),
% 6.64/6.85 inference(monotonicity,[status(thm)],[17367])).
% 6.64/6.85 tff(17369,plain,
% 6.64/6.85 (~(mult(mult(mult(mult(c, a), b), mult(a, b)), a) = mult(mult(mult(c, a), b), mult(a, mult(a, b))))),
% 6.64/6.85 inference(unit_resolution,[status(thm)],[4316, 17324])).
% 6.64/6.85 tff(17370,plain,
% 6.64/6.85 (~(mult(mult(mult(a, b), a), mult(a, b)) = mult(mult(a, b), mult(mult(a, b), a)))),
% 6.64/6.85 inference(unit_resolution,[status(thm)],[9854, 17369, 15733])).
% 6.64/6.85 tff(17371,plain,
% 6.64/6.85 (~(mult(mult(mult(b, a), a), b) = mult(mult(b, a), mult(b, a)))),
% 6.64/6.85 inference(unit_resolution,[status(thm)],[4632, 17370])).
% 6.64/6.85 tff(17372,plain,
% 6.64/6.85 ((~(mult(mult(mult(b, a), a), b) = mult(mult(b, a), mult(b, a)))) | (~(mult(mult(mult(b, a), b), a) = mult(mult(b, a), mult(a, b))))),
% 6.64/6.85 inference(unit_resolution,[status(thm)],[4634, 17371])).
% 6.64/6.85 tff(17373,plain,
% 6.64/6.85 (~((~(mult(mult(mult(b, a), a), b) = mult(mult(b, a), mult(a, b)))) | (~(mult(mult(mult(b, a), b), a) = mult(mult(b, a), mult(b, a)))))),
% 6.64/6.85 inference(unit_resolution,[status(thm)],[4646, 17372])).
% 6.64/6.85 tff(17374,plain,
% 6.64/6.85 (mult(mult(mult(b, a), b), a) = mult(mult(b, a), mult(b, a))),
% 6.64/6.85 inference(unit_resolution,[status(thm)],[10362, 17373])).
% 6.64/6.85 tff(17375,plain,
% 6.64/6.85 ((mult(mult(b, a), mult(mult(a, c), mult(b, a))) = mult(mult(mult(b, a), mult(a, c)), mult(b, a))) <=> (mult(mult(mult(b, a), mult(a, c)), mult(b, a)) = mult(mult(b, a), mult(mult(a, c), mult(b, a))))),
% 6.64/6.85 inference(commutativity,[status(thm)],[])).
% 6.64/6.85 tff(17376,plain,
% 6.64/6.85 (mult(mult(b, a), mult(c, mult(mult(a, b), a))) = mult(mult(b, a), mult(mult(b, a), mult(a, c)))),
% 6.64/6.85 inference(transitivity,[status(thm)],[11397, 11155, 7884, 11388, 7850, 16941])).
% 6.64/6.85 tff(17377,plain,
% 6.64/6.85 (ld(mult(b, a), mult(mult(b, a), mult(c, mult(mult(a, b), a)))) = ld(mult(b, a), mult(mult(b, a), mult(mult(b, a), mult(a, c))))),
% 6.64/6.85 inference(monotonicity,[status(thm)],[17376])).
% 6.64/6.85 tff(17378,plain,
% 6.64/6.85 (mult(mult(mult(c, a), b), a) = mult(mult(b, mult(c, a)), a)),
% 6.64/6.85 inference(transitivity,[status(thm)],[2807, 12145, 17377, 11251, 4650, 11925])).
% 6.64/6.85 tff(17379,plain,
% 6.64/6.85 (rd(mult(mult(mult(c, a), b), a), a) = rd(mult(mult(b, mult(c, a)), a), a)),
% 6.64/6.85 inference(monotonicity,[status(thm)],[17378])).
% 6.64/6.85 tff(17380,plain,
% 6.64/6.85 (mult(mult(c, a), b) = mult(b, mult(c, a))),
% 6.64/6.85 inference(transitivity,[status(thm)],[5995, 17379, 848])).
% 6.64/6.85 tff(17381,plain,
% 6.64/6.85 (mult(mult(b, a), mult(mult(c, a), b)) = mult(mult(b, a), mult(b, mult(c, a)))),
% 6.64/6.85 inference(monotonicity,[status(thm)],[17380])).
% 6.64/6.85 tff(17382,plain,
% 6.64/6.85 (mult(mult(b, a), mult(b, mult(c, a))) = mult(mult(b, a), mult(mult(c, a), b))),
% 6.64/6.85 inference(symmetry,[status(thm)],[17381])).
% 6.64/6.85 tff(17383,plain,
% 6.64/6.85 (mult(mult(mult(b, a), mult(b, mult(c, a))), a) = mult(mult(mult(b, a), mult(mult(c, a), b)), a)),
% 6.64/6.85 inference(monotonicity,[status(thm)],[17382])).
% 6.64/6.85 tff(17384,plain,
% 6.64/6.85 (mult(a, mult(b, mult(c, a))) = mult(mult(mult(a, b), a), c)),
% 6.64/6.85 inference(transitivity,[status(thm)],[13277, 16129, 8336])).
% 6.64/6.85 tff(17385,plain,
% 6.64/6.85 (mult(mult(a, mult(b, mult(c, a))), a) = mult(mult(mult(mult(a, b), a), c), a)),
% 6.64/6.85 inference(monotonicity,[status(thm)],[17384])).
% 6.64/6.85 tff(17386,plain,
% 6.64/6.85 (mult(mult(mult(mult(a, b), a), c), a) = mult(mult(a, mult(b, mult(c, a))), a)),
% 6.64/6.85 inference(symmetry,[status(thm)],[17385])).
% 6.64/6.85 tff(17387,plain,
% 6.64/6.85 (ld(mult(b, a), mult(mult(b, a), mult(mult(b, a), mult(a, c)))) = ld(mult(b, a), mult(mult(b, a), mult(c, mult(mult(a, b), a))))),
% 6.64/6.85 inference(symmetry,[status(thm)],[17377])).
% 6.64/6.85 tff(17388,plain,
% 6.64/6.85 (mult(mult(b, a), mult(a, c)) = mult(mult(mult(c, a), b), a)),
% 6.64/6.85 inference(transitivity,[status(thm)],[11270, 17387, 11130, 2808])).
% 6.64/6.85 tff(17389,plain,
% 6.64/6.85 (mult(a, mult(mult(b, a), mult(a, c))) = mult(a, mult(mult(mult(c, a), b), a))),
% 6.64/6.85 inference(monotonicity,[status(thm)],[17388])).
% 6.64/6.85 tff(17390,plain,
% 6.64/6.85 (mult(a, mult(mult(mult(c, a), b), a)) = mult(a, mult(mult(b, a), mult(a, c)))),
% 6.64/6.85 inference(symmetry,[status(thm)],[17389])).
% 6.64/6.85 tff(17391,plain,
% 6.64/6.85 (mult(a, mult(c, mult(mult(a, b), a))) = mult(mult(a, mult(b, mult(c, a))), a)),
% 6.64/6.85 inference(transitivity,[status(thm)],[10777, 17390, 11306, 11305, 16004, 11097, 17386])).
% 6.64/6.85 tff(17392,plain,
% 6.64/6.85 (mult(b, mult(a, mult(c, mult(mult(a, b), a)))) = mult(b, mult(mult(a, mult(b, mult(c, a))), a))),
% 6.64/6.85 inference(monotonicity,[status(thm)],[17391])).
% 6.64/6.85 tff(17393,plain,
% 6.64/6.85 (mult(b, mult(mult(a, c), mult(mult(a, b), a))) = mult(mult(mult(b, a), mult(a, c)), mult(b, a))),
% 6.64/6.85 inference(transitivity,[status(thm)],[16532, 17392, 14695, 17383, 11398, 11948, 11397, 11155, 7884, 11388, 7850])).
% 6.64/6.85 tff(17394,plain,
% 6.64/6.85 (mult(mult(b, mult(mult(a, b), a)), mult(a, c)) = mult(mult(b, a), mult(mult(a, c), mult(b, a)))),
% 6.64/6.85 inference(transitivity,[status(thm)],[12042, 13227])).
% 6.64/6.85 tff(17395,plain,
% 6.64/6.85 ((mult(mult(b, mult(mult(a, b), a)), mult(a, c)) = mult(b, mult(mult(a, c), mult(mult(a, b), a)))) <=> (mult(mult(b, a), mult(mult(a, c), mult(b, a))) = mult(mult(mult(b, a), mult(a, c)), mult(b, a)))),
% 6.64/6.85 inference(monotonicity,[status(thm)],[17394, 17393])).
% 6.64/6.85 tff(17396,plain,
% 6.64/6.85 ((mult(mult(b, mult(mult(a, b), a)), mult(a, c)) = mult(b, mult(mult(a, c), mult(mult(a, b), a)))) <=> (mult(mult(mult(b, a), mult(a, c)), mult(b, a)) = mult(mult(b, a), mult(mult(a, c), mult(b, a))))),
% 6.64/6.85 inference(transitivity,[status(thm)],[17395, 17375])).
% 6.64/6.85 tff(17397,plain,
% 6.64/6.85 ((mult(mult(mult(b, a), mult(a, c)), mult(b, a)) = mult(mult(b, a), mult(mult(a, c), mult(b, a)))) <=> (mult(mult(b, mult(mult(a, b), a)), mult(a, c)) = mult(b, mult(mult(a, c), mult(mult(a, b), a))))),
% 6.64/6.85 inference(symmetry,[status(thm)],[17396])).
% 6.64/6.85 tff(17398,plain,
% 6.64/6.85 ((~(mult(mult(mult(b, a), mult(a, c)), mult(b, a)) = mult(mult(b, a), mult(mult(a, c), mult(b, a))))) <=> (~(mult(mult(b, mult(mult(a, b), a)), mult(a, c)) = mult(b, mult(mult(a, c), mult(mult(a, b), a)))))),
% 6.64/6.85 inference(monotonicity,[status(thm)],[17397])).
% 6.64/6.85 tff(17399,plain,
% 6.64/6.85 (~(mult(mult(b, mult(mult(a, b), a)), mult(a, c)) = mult(b, mult(mult(a, c), mult(mult(a, b), a))))),
% 6.64/6.85 inference(modus_ponens,[status(thm)],[13224, 17398])).
% 6.64/6.85 tff(17400,plain,
% 6.64/6.85 ((~(mult(mult(b, mult(a, c)), mult(mult(a, b), a)) = mult(b, mult(mult(mult(a, b), a), mult(a, c))))) | (~(mult(mult(b, mult(mult(a, b), a)), mult(a, c)) = mult(b, mult(mult(a, c), mult(mult(a, b), a)))))),
% 6.64/6.85 inference(unit_resolution,[status(thm)],[11187, 17399])).
% 6.64/6.85 tff(17401,plain,
% 6.64/6.85 (mult(mult(mult(a, b), a), mult(a, c)) = mult(a, mult(c, mult(mult(a, b), a)))),
% 6.64/6.85 inference(transitivity,[status(thm)],[11304, 11249, 17389, 11036])).
% 6.64/6.85 tff(17402,plain,
% 6.64/6.85 (mult(b, mult(mult(mult(a, b), a), mult(a, c))) = mult(b, mult(a, mult(c, mult(mult(a, b), a))))),
% 6.64/6.85 inference(monotonicity,[status(thm)],[17401])).
% 6.64/6.85 tff(17403,plain,
% 6.64/6.85 (mult(b, mult(mult(mult(a, b), a), mult(a, c))) = mult(b, mult(mult(a, c), mult(mult(a, b), a)))),
% 6.64/6.85 inference(transitivity,[status(thm)],[17402, 16533])).
% 6.64/6.85 tff(17404,plain,
% 6.64/6.85 ((mult(mult(b, mult(mult(a, b), a)), mult(a, c)) = mult(b, mult(mult(mult(a, b), a), mult(a, c)))) <=> (mult(mult(b, mult(mult(a, b), a)), mult(a, c)) = mult(b, mult(mult(a, c), mult(mult(a, b), a))))),
% 6.64/6.85 inference(monotonicity,[status(thm)],[17403])).
% 6.64/6.85 tff(17405,plain,
% 6.64/6.85 ((mult(mult(b, mult(mult(a, b), a)), mult(a, c)) = mult(b, mult(mult(a, c), mult(mult(a, b), a)))) <=> (mult(mult(b, mult(mult(a, b), a)), mult(a, c)) = mult(b, mult(mult(mult(a, b), a), mult(a, c))))),
% 6.64/6.85 inference(symmetry,[status(thm)],[17404])).
% 6.64/6.85 tff(17406,plain,
% 6.64/6.85 ((mult(mult(mult(b, a), mult(a, c)), mult(b, a)) = mult(mult(b, a), mult(mult(a, c), mult(b, a)))) <=> (mult(mult(b, mult(mult(a, b), a)), mult(a, c)) = mult(b, mult(mult(mult(a, b), a), mult(a, c))))),
% 6.64/6.85 inference(transitivity,[status(thm)],[17397, 17405])).
% 6.64/6.85 tff(17407,plain,
% 6.64/6.85 ((~(mult(mult(mult(b, a), mult(a, c)), mult(b, a)) = mult(mult(b, a), mult(mult(a, c), mult(b, a))))) <=> (~(mult(mult(b, mult(mult(a, b), a)), mult(a, c)) = mult(b, mult(mult(mult(a, b), a), mult(a, c)))))),
% 6.64/6.85 inference(monotonicity,[status(thm)],[17406])).
% 6.64/6.85 tff(17408,plain,
% 6.64/6.85 (~(mult(mult(b, mult(mult(a, b), a)), mult(a, c)) = mult(b, mult(mult(mult(a, b), a), mult(a, c))))),
% 6.64/6.85 inference(modus_ponens,[status(thm)],[13224, 17407])).
% 6.64/6.85 tff(17409,plain,
% 6.64/6.85 ((~(mult(mult(b, mult(a, c)), mult(mult(a, b), a)) = mult(b, mult(mult(a, c), mult(mult(a, b), a))))) | (~(mult(mult(b, mult(mult(a, b), a)), mult(a, c)) = mult(b, mult(mult(mult(a, b), a), mult(a, c)))))),
% 6.64/6.85 inference(unit_resolution,[status(thm)],[11543, 17408])).
% 6.64/6.85 tff(17410,plain,
% 6.64/6.85 ($false),
% 6.64/6.85 inference(unit_resolution,[status(thm)],[11195, 17409, 17400])).
% 6.64/6.85 tff(17411,plain,((~(mult(mult(mult(b, a), mult(mult(c, a), b)), a) = mult(mult(b, a), mult(mult(mult(c, a), b), a)))) | (mult(mult(mult(b, a), mult(a, c)), mult(b, a)) = mult(mult(b, a), mult(mult(a, c), mult(b, a)))) | (~(mult(mult(mult(b, a), c), mult(mult(a, b), a)) = mult(mult(b, a), mult(c, mult(mult(a, b), a))))) | (~(mult(mult(mult(mult(b, a), mult(a, c)), b), a) = mult(mult(mult(b, a), mult(a, c)), mult(b, a)))) | (~(mult(mult(a, mult(b, a)), mult(a, c)) = mult(a, mult(mult(b, a), mult(a, c))))) | (~(mult(mult(a, mult(b, a)), c) = mult(a, mult(mult(b, a), c)))) | (~(mult(mult(a, c), mult(mult(a, b), a)) = mult(a, mult(c, mult(mult(a, b), a))))) | (~(mult(mult(mult(b, a), b), a) = mult(mult(b, a), mult(b, a))))), inference(lemma,lemma(discharge,[]))).
% 6.64/6.85 tff(17412,plain,
% 6.64/6.85 (~(mult(mult(mult(b, a), mult(mult(c, a), b)), a) = mult(mult(b, a), mult(mult(mult(c, a), b), a)))),
% 6.64/6.85 inference(unit_resolution,[status(thm)],[17411, 17297, 15835, 17284, 17352, 15803, 16336, 17374])).
% 6.64/6.85 tff(17413,plain,
% 6.64/6.85 ((~(mult(mult(mult(b, a), mult(mult(c, a), b)), a) = mult(mult(b, a), mult(mult(mult(c, a), b), a)))) | (~(mult(mult(mult(b, a), a), mult(mult(c, a), b)) = mult(mult(b, a), mult(a, mult(mult(c, a), b)))))),
% 6.64/6.85 inference(unit_resolution,[status(thm)],[12222, 17412])).
% 6.64/6.85 tff(17414,plain,
% 6.64/6.85 (~((~(mult(mult(mult(b, a), a), mult(mult(c, a), b)) = mult(mult(b, a), mult(mult(mult(c, a), b), a)))) | (~(mult(mult(mult(b, a), mult(mult(c, a), b)), a) = mult(mult(b, a), mult(a, mult(mult(c, a), b))))))),
% 6.64/6.85 inference(unit_resolution,[status(thm)],[12220, 17413])).
% 6.64/6.85 tff(17415,plain,
% 6.64/6.85 (mult(mult(mult(b, a), mult(mult(c, a), b)), a) = mult(mult(b, a), mult(a, mult(mult(c, a), b)))),
% 6.64/6.85 inference(unit_resolution,[status(thm)],[11210, 17414])).
% 6.64/6.85 tff(17416,plain,
% 6.64/6.85 (mult(mult(b, a), mult(mult(c, a), b)) = mult(mult(b, a), mult(b, mult(c, a)))),
% 6.64/6.86 inference(monotonicity,[status(thm)],[17310])).
% 6.64/6.86 tff(17417,plain,
% 6.64/6.86 (mult(mult(b, a), mult(b, mult(c, a))) = mult(mult(b, a), mult(mult(c, a), b))),
% 6.64/6.86 inference(symmetry,[status(thm)],[17416])).
% 6.64/6.86 tff(17418,plain,
% 6.64/6.86 (mult(mult(mult(b, a), mult(b, mult(c, a))), a) = mult(mult(mult(b, a), mult(mult(c, a), b)), a)),
% 6.64/6.86 inference(monotonicity,[status(thm)],[17417])).
% 6.64/6.86 tff(17419,plain,
% 6.64/6.86 (mult(a, mult(mult(mult(c, a), b), a)) = mult(a, mult(mult(b, a), mult(a, c)))),
% 6.64/6.86 inference(symmetry,[status(thm)],[17347])).
% 6.64/6.86 tff(17420,plain,
% 6.64/6.86 (mult(a, mult(c, mult(mult(a, b), a))) = mult(mult(a, mult(b, mult(c, a))), a)),
% 6.64/6.86 inference(transitivity,[status(thm)],[10777, 17419, 17355, 11305, 16004, 11097, 17093])).
% 6.64/6.86 tff(17421,plain,
% 6.64/6.86 (mult(b, mult(a, mult(c, mult(mult(a, b), a)))) = mult(b, mult(mult(a, mult(b, mult(c, a))), a))),
% 6.64/6.86 inference(monotonicity,[status(thm)],[17420])).
% 6.64/6.86 tff(17422,plain,
% 6.64/6.86 (mult(b, mult(mult(mult(a, c), a), mult(b, a))) = mult(mult(b, a), mult(mult(mult(a, b), a), c))),
% 6.64/6.86 inference(transitivity,[status(thm)],[17343, 17421, 14695, 17418, 17415, 17368, 17366])).
% 6.64/6.86 tff(17423,plain,
% 6.64/6.86 (mult(mult(b, mult(mult(a, c), a)), mult(b, a)) = mult(mult(mult(b, a), c), mult(mult(a, b), a))),
% 6.64/6.86 inference(transitivity,[status(thm)],[17359, 17331, 11389, 4198, 11610])).
% 6.64/6.86 tff(17424,plain,
% 6.64/6.86 ((mult(mult(b, mult(mult(a, c), a)), mult(b, a)) = mult(b, mult(mult(mult(a, c), a), mult(b, a)))) <=> (mult(mult(mult(b, a), c), mult(mult(a, b), a)) = mult(mult(b, a), mult(mult(mult(a, b), a), c)))),
% 6.64/6.86 inference(monotonicity,[status(thm)],[17423, 17422])).
% 6.64/6.86 tff(17425,plain,
% 6.64/6.86 ((mult(mult(mult(b, a), c), mult(mult(a, b), a)) = mult(mult(b, a), mult(mult(mult(a, b), a), c))) <=> (mult(mult(b, mult(mult(a, c), a)), mult(b, a)) = mult(b, mult(mult(mult(a, c), a), mult(b, a))))),
% 6.64/6.86 inference(symmetry,[status(thm)],[17424])).
% 6.64/6.86 tff(17426,plain,
% 6.64/6.86 ((mult(mult(mult(b, a), c), mult(mult(a, b), a)) = mult(mult(b, a), mult(mult(mult(a, b), a), c))) <=> (mult(mult(b, a), mult(mult(b, a), mult(a, c))) = mult(b, mult(a, mult(mult(b, a), mult(a, c)))))),
% 6.64/6.86 inference(transitivity,[status(thm)],[17425, 17363])).
% 6.64/6.86 tff(17427,plain,
% 6.64/6.86 ((~(mult(mult(mult(b, a), c), mult(mult(a, b), a)) = mult(mult(b, a), mult(mult(mult(a, b), a), c)))) <=> (~(mult(mult(b, a), mult(mult(b, a), mult(a, c))) = mult(b, mult(a, mult(mult(b, a), mult(a, c))))))),
% 6.64/6.86 inference(monotonicity,[status(thm)],[17426])).
% 6.64/6.86 tff(17428,plain,
% 6.64/6.86 (~(mult(mult(b, a), mult(mult(b, a), mult(a, c))) = mult(b, mult(a, mult(mult(b, a), mult(a, c)))))),
% 6.64/6.86 inference(modus_ponens,[status(thm)],[15832, 17427])).
% 6.64/6.86 tff(17429,plain,
% 6.64/6.86 ((~(mult(mult(b, a), mult(mult(b, a), mult(a, c))) = mult(b, mult(a, mult(mult(b, a), mult(a, c)))))) | (~(mult(mult(b, mult(mult(b, a), mult(a, c))), a) = mult(b, mult(mult(mult(b, a), mult(a, c)), a))))),
% 6.64/6.86 inference(unit_resolution,[status(thm)],[12705, 17428])).
% 6.64/6.86 tff(17430,plain,
% 6.64/6.86 (~((~(mult(mult(b, a), mult(mult(b, a), mult(a, c))) = mult(b, mult(mult(mult(b, a), mult(a, c)), a)))) | (~(mult(mult(b, mult(mult(b, a), mult(a, c))), a) = mult(b, mult(a, mult(mult(b, a), mult(a, c)))))))),
% 6.64/6.86 inference(unit_resolution,[status(thm)],[12724, 17429])).
% 6.64/6.86 tff(17431,plain,
% 6.64/6.86 (mult(mult(b, a), mult(mult(b, a), mult(a, c))) = mult(b, mult(mult(mult(b, a), mult(a, c)), a))),
% 6.64/6.86 inference(unit_resolution,[status(thm)],[12712, 17430])).
% 6.64/6.86 tff(17432,plain,
% 6.64/6.86 (mult(b, mult(mult(mult(b, a), mult(a, c)), a)) = mult(mult(b, a), mult(mult(b, a), mult(a, c)))),
% 6.64/6.86 inference(symmetry,[status(thm)],[17431])).
% 6.64/6.86 tff(17433,plain,
% 6.64/6.86 (mult(b, mult(b, mult(mult(a, mult(a, c)), a))) = mult(mult(mult(b, mult(c, a)), mult(a, b)), a)),
% 6.64/6.86 inference(transitivity,[status(thm)],[12684, 17432, 17332, 17331, 11389, 4198, 17330, 17328, 17314])).
% 6.64/6.86 tff(17434,plain,
% 6.64/6.86 (mult(mult(mult(mult(c, a), b), a), mult(a, b)) = mult(mult(mult(c, a), b), mult(a, mult(a, b)))),
% 6.64/6.86 inference(unit_resolution,[status(thm)],[4224, 17326])).
% 6.64/6.86 tff(17435,plain,
% 6.64/6.86 (mult(mult(mult(b, a), mult(a, c)), mult(a, b)) = mult(mult(mult(mult(c, a), b), a), mult(a, b))),
% 6.64/6.86 inference(monotonicity,[status(thm)],[17346])).
% 6.64/6.86 tff(17436,plain,
% 6.64/6.86 (mult(mult(mult(mult(c, a), b), a), mult(a, b)) = mult(mult(mult(b, a), mult(a, c)), mult(a, b))),
% 6.64/6.86 inference(symmetry,[status(thm)],[17435])).
% 6.64/6.86 tff(17437,plain,
% 6.64/6.86 (mult(mult(mult(c, a), b), mult(a, mult(a, b))) = mult(mult(mult(mult(c, a), b), a), mult(a, b))),
% 6.64/6.86 inference(symmetry,[status(thm)],[17434])).
% 6.64/6.86 tff(17438,plain,
% 6.64/6.86 (mult(mult(mult(c, a), b), mult(mult(a, a), b)) = mult(mult(mult(b, a), mult(a, c)), mult(a, b))),
% 6.64/6.86 inference(transitivity,[status(thm)],[8500, 17437, 17436])).
% 6.64/6.86 tff(17439,plain,
% 6.64/6.86 (mult(mult(mult(c, a), b), mult(a, a)) = mult(mult(b, mult(c, a)), mult(a, a))),
% 6.64/6.86 inference(monotonicity,[status(thm)],[17310])).
% 6.64/6.86 tff(17440,plain,
% 6.64/6.86 (mult(mult(mult(c, a), b), mult(a, a)) = mult(mult(mult(b, a), mult(a, c)), a)),
% 6.64/6.86 inference(transitivity,[status(thm)],[17439, 12459, 12445])).
% 6.64/6.86 tff(17441,plain,
% 6.64/6.86 (mult(mult(mult(mult(c, a), b), mult(a, a)), b) = mult(mult(mult(mult(b, a), mult(a, c)), a), b)),
% 6.64/6.86 inference(monotonicity,[status(thm)],[17440])).
% 6.64/6.86 tff(17442,plain,
% 6.64/6.86 ((mult(mult(mult(mult(c, a), b), mult(a, a)), b) = mult(mult(mult(c, a), b), mult(mult(a, a), b))) <=> (mult(mult(mult(mult(b, a), mult(a, c)), a), b) = mult(mult(mult(b, a), mult(a, c)), mult(a, b)))),
% 6.64/6.86 inference(monotonicity,[status(thm)],[17441, 17438])).
% 6.64/6.86 tff(17443,plain,
% 6.64/6.86 (mult(mult(mult(c, a), b), mult(a, mult(a, b))) = mult(mult(mult(c, a), b), mult(mult(a, a), b))),
% 6.64/6.86 inference(monotonicity,[status(thm)],[449])).
% 6.64/6.86 tff(17444,plain,
% 6.64/6.86 (mult(mult(c, mult(mult(a, b), a)), mult(a, b)) = mult(mult(mult(c, a), b), mult(mult(a, a), b))),
% 6.64/6.86 inference(transitivity,[status(thm)],[4226, 4309, 17443])).
% 6.64/6.86 tff(17445,plain,
% 6.64/6.86 (mult(mult(c, mult(mult(a, b), a)), a) = mult(mult(mult(c, a), b), mult(a, a))),
% 6.64/6.86 inference(transitivity,[status(thm)],[9303, 4454])).
% 6.64/6.86 tff(17446,plain,
% 6.64/6.86 (mult(mult(mult(c, mult(mult(a, b), a)), a), b) = mult(mult(mult(mult(c, a), b), mult(a, a)), b)),
% 6.64/6.86 inference(monotonicity,[status(thm)],[17445])).
% 6.64/6.86 tff(17447,plain,
% 6.64/6.86 ((mult(mult(mult(c, mult(mult(a, b), a)), a), b) = mult(mult(c, mult(mult(a, b), a)), mult(a, b))) <=> (mult(mult(mult(mult(c, a), b), mult(a, a)), b) = mult(mult(mult(c, a), b), mult(mult(a, a), b)))),
% 6.64/6.86 inference(monotonicity,[status(thm)],[17446, 17444])).
% 6.64/6.86 tff(17448,plain,
% 6.64/6.86 ((mult(mult(mult(mult(c, a), b), mult(a, a)), b) = mult(mult(mult(c, a), b), mult(mult(a, a), b))) <=> (mult(mult(mult(c, mult(mult(a, b), a)), a), b) = mult(mult(c, mult(mult(a, b), a)), mult(a, b)))),
% 6.64/6.86 inference(symmetry,[status(thm)],[17447])).
% 6.64/6.86 tff(17449,plain,
% 6.64/6.86 ((~(mult(mult(mult(mult(c, a), b), mult(a, a)), b) = mult(mult(mult(c, a), b), mult(mult(a, a), b)))) <=> (~(mult(mult(mult(c, mult(mult(a, b), a)), a), b) = mult(mult(c, mult(mult(a, b), a)), mult(a, b))))),
% 6.64/6.86 inference(monotonicity,[status(thm)],[17448])).
% 6.64/6.86 tff(17450,assumption,(~(mult(mult(mult(mult(c, a), b), mult(a, a)), b) = mult(mult(mult(c, a), b), mult(mult(a, a), b)))), introduced(assumption)).
% 6.64/6.86 tff(17451,plain,
% 6.64/6.86 (~(mult(mult(mult(c, mult(mult(a, b), a)), a), b) = mult(mult(c, mult(mult(a, b), a)), mult(a, b)))),
% 6.64/6.86 inference(modus_ponens,[status(thm)],[17450, 17449])).
% 6.64/6.86 tff(17452,plain,
% 6.64/6.86 (((~(mult(mult(mult(c, mult(mult(a, b), a)), b), a) = mult(mult(c, mult(mult(a, b), a)), mult(b, a)))) | (~(mult(mult(mult(c, mult(mult(a, b), a)), a), b) = mult(mult(c, mult(mult(a, b), a)), mult(a, b))))) | (mult(mult(mult(c, mult(mult(a, b), a)), a), b) = mult(mult(c, mult(mult(a, b), a)), mult(a, b)))),
% 6.64/6.86 inference(tautology,[status(thm)],[])).
% 6.64/6.86 tff(17453,plain,
% 6.64/6.86 ((~(mult(mult(mult(c, mult(mult(a, b), a)), b), a) = mult(mult(c, mult(mult(a, b), a)), mult(b, a)))) | (~(mult(mult(mult(c, mult(mult(a, b), a)), a), b) = mult(mult(c, mult(mult(a, b), a)), mult(a, b))))),
% 6.64/6.86 inference(unit_resolution,[status(thm)],[17452, 17451])).
% 6.64/6.86 tff(17454,plain,
% 6.64/6.86 (~((~(mult(mult(mult(c, mult(mult(a, b), a)), b), a) = mult(mult(c, mult(mult(a, b), a)), mult(a, b)))) | (~(mult(mult(mult(c, mult(mult(a, b), a)), a), b) = mult(mult(c, mult(mult(a, b), a)), mult(b, a)))))),
% 6.64/6.86 inference(unit_resolution,[status(thm)],[10118, 17453])).
% 6.64/6.86 tff(17455,plain,
% 6.64/6.86 (mult(mult(mult(c, mult(mult(a, b), a)), b), a) = mult(mult(c, mult(mult(a, b), a)), mult(a, b))),
% 6.64/6.86 inference(unit_resolution,[status(thm)],[10120, 17454])).
% 6.64/6.86 tff(17456,plain,
% 6.64/6.86 (mult(mult(mult(mult(c, a), b), mult(a, b)), a) = mult(mult(mult(c, a), b), mult(a, mult(a, b)))),
% 6.64/6.86 inference(transitivity,[status(thm)],[4307, 4324, 4323, 17455, 4226, 4309])).
% 6.64/6.86 tff(17457,plain,
% 6.64/6.86 ((~(mult(mult(mult(mult(c, a), b), a), mult(a, b)) = mult(mult(mult(c, a), b), mult(mult(a, b), a)))) <=> (~(mult(mult(mult(mult(c, a), b), mult(a, b)), a) = mult(mult(mult(c, a), b), mult(a, mult(a, b)))))),
% 6.64/6.86 inference(monotonicity,[status(thm)],[4311])).
% 6.64/6.86 tff(17458,plain,
% 6.64/6.86 (~(mult(mult(mult(mult(c, a), b), mult(a, b)), a) = mult(mult(mult(c, a), b), mult(a, mult(a, b))))),
% 6.64/6.86 inference(modus_ponens,[status(thm)],[4303, 17457])).
% 6.64/6.86 tff(17459,plain,
% 6.64/6.86 ($false),
% 6.64/6.86 inference(unit_resolution,[status(thm)],[17458, 17456])).
% 6.64/6.86 tff(17460,plain,((mult(mult(mult(mult(c, a), b), a), mult(a, b)) = mult(mult(mult(c, a), b), mult(mult(a, b), a))) | (mult(mult(mult(mult(c, a), b), mult(a, a)), b) = mult(mult(mult(c, a), b), mult(mult(a, a), b))) | (~(mult(mult(a, a), b) = mult(a, mult(a, b))))), inference(lemma,lemma(discharge,[]))).
% 6.64/6.86 tff(17461,plain,
% 6.64/6.86 ((mult(mult(mult(mult(c, a), b), a), mult(a, b)) = mult(mult(mult(c, a), b), mult(mult(a, b), a))) | (mult(mult(mult(mult(c, a), b), mult(a, a)), b) = mult(mult(mult(c, a), b), mult(mult(a, a), b)))),
% 6.64/6.86 inference(unit_resolution,[status(thm)],[17460, 4190])).
% 6.64/6.86 tff(17462,plain,
% 6.64/6.86 (mult(mult(mult(mult(c, a), b), mult(a, a)), b) = mult(mult(mult(c, a), b), mult(mult(a, a), b))),
% 6.64/6.86 inference(unit_resolution,[status(thm)],[17461, 17324])).
% 6.64/6.86 tff(17463,plain,
% 6.64/6.86 (mult(mult(mult(mult(b, a), mult(a, c)), a), b) = mult(mult(mult(b, a), mult(a, c)), mult(a, b))),
% 6.64/6.86 inference(modus_ponens,[status(thm)],[17462, 17442])).
% 6.64/6.86 tff(17464,plain,
% 6.64/6.86 (mult(mult(b, mult(mult(a, mult(a, c)), a)), b) = mult(mult(b, mult(c, a)), mult(a, mult(a, b)))),
% 6.64/6.86 inference(transitivity,[status(thm)],[10951, 17463, 17435, 17434, 8478, 17308, 15822])).
% 6.64/6.86 tff(17465,plain,
% 6.64/6.86 ((mult(mult(b, mult(mult(a, mult(a, c)), a)), b) = mult(b, mult(b, mult(mult(a, mult(a, c)), a)))) <=> (mult(mult(b, mult(c, a)), mult(a, mult(a, b))) = mult(mult(mult(b, mult(c, a)), mult(a, b)), a))),
% 6.64/6.86 inference(monotonicity,[status(thm)],[17464, 17433])).
% 6.64/6.86 tff(17466,plain,
% 6.64/6.86 ((mult(mult(b, mult(mult(a, mult(a, c)), a)), b) = mult(b, mult(b, mult(mult(a, mult(a, c)), a)))) <=> (mult(mult(mult(b, mult(c, a)), mult(a, b)), a) = mult(mult(b, mult(c, a)), mult(a, mult(a, b))))),
% 6.64/6.86 inference(transitivity,[status(thm)],[17465, 17317])).
% 6.64/6.86 tff(17467,plain,
% 6.64/6.86 ((mult(mult(b, mult(mult(a, mult(a, c)), a)), b) = mult(b, mult(b, mult(mult(a, mult(a, c)), a)))) <=> (mult(mult(mult(mult(c, a), b), mult(a, b)), a) = mult(mult(mult(c, a), b), mult(a, mult(a, b))))),
% 6.64/6.86 inference(transitivity,[status(thm)],[17466, 17316])).
% 6.64/6.86 tff(17468,plain,
% 6.64/6.86 (mult(mult(mult(mult(a, a), c), a), b) = mult(mult(mult(a, a), c), mult(a, b))),
% 6.64/6.86 inference(unit_resolution,[status(thm)],[16594, 17350])).
% 6.64/6.86 tff(17469,plain,
% 6.64/6.86 (mult(mult(b, a), mult(c, mult(mult(a, b), a))) = mult(mult(b, a), mult(mult(b, a), mult(a, c)))),
% 6.64/6.86 inference(transitivity,[status(thm)],[16369, 11155, 7884, 11388, 7850, 8734])).
% 6.64/6.86 tff(17470,plain,
% 6.64/6.86 (ld(mult(b, a), mult(mult(b, a), mult(c, mult(mult(a, b), a)))) = ld(mult(b, a), mult(mult(b, a), mult(mult(b, a), mult(a, c))))),
% 6.64/6.86 inference(monotonicity,[status(thm)],[17469])).
% 6.64/6.86 tff(17471,plain,
% 6.64/6.86 (mult(mult(a, mult(a, c)), a) = mult(a, mult(mult(a, c), a))),
% 6.64/6.86 inference(unit_resolution,[status(thm)],[10473, 789, 914])).
% 6.64/6.86 tff(17472,plain,
% 6.64/6.86 (mult(mult(a, mult(a, c)), a) = mult(mult(mult(a, a), c), a)),
% 6.64/6.86 inference(transitivity,[status(thm)],[17471, 5394])).
% 6.64/6.86 tff(17473,plain,
% 6.64/6.86 (mult(mult(mult(a, mult(a, c)), a), b) = mult(mult(mult(mult(a, a), c), a), b)),
% 6.64/6.86 inference(monotonicity,[status(thm)],[17472])).
% 6.64/6.86 tff(17474,plain,
% 6.64/6.86 (mult(mult(mult(mult(a, a), c), a), b) = mult(mult(mult(a, mult(a, c)), a), b)),
% 6.64/6.86 inference(symmetry,[status(thm)],[17473])).
% 6.64/6.86 tff(17475,assumption,(mult(mult(mult(mult(a, a), c), a), b) = mult(mult(mult(a, a), c), mult(a, b))), introduced(assumption)).
% 6.64/6.86 tff(17476,plain,
% 6.64/6.86 (mult(mult(mult(a, a), c), mult(a, b)) = mult(mult(mult(mult(a, a), c), a), b)),
% 6.64/6.86 inference(symmetry,[status(thm)],[17475])).
% 6.64/6.86 tff(17477,plain,
% 6.64/6.86 (mult(mult(mult(a, a), c), mult(a, b)) = mult(mult(a, mult(a, c)), mult(a, b))),
% 6.64/6.86 inference(monotonicity,[status(thm)],[11081])).
% 6.64/6.86 tff(17478,plain,
% 6.64/6.86 (mult(mult(a, mult(a, c)), mult(a, b)) = mult(mult(mult(a, a), c), mult(a, b))),
% 6.64/6.86 inference(symmetry,[status(thm)],[17477])).
% 6.64/6.86 tff(17479,plain,
% 6.64/6.86 (mult(a, mult(mult(a, c), mult(a, b))) = mult(a, mult(a, mult(c, mult(a, b))))),
% 6.64/6.86 inference(monotonicity,[status(thm)],[15757])).
% 6.64/6.86 tff(17480,plain,
% 6.64/6.86 (mult(a, mult(a, mult(c, mult(a, b)))) = mult(a, mult(mult(a, c), mult(a, b)))),
% 6.64/6.86 inference(symmetry,[status(thm)],[17479])).
% 6.64/6.86 tff(17481,plain,
% 6.64/6.86 (mult(a, mult(a, mult(c, mult(a, b)))) = mult(mult(mult(a, mult(a, c)), a), b)),
% 6.64/6.86 inference(transitivity,[status(thm)],[17480, 16192, 17478, 17476, 17474])).
% 6.64/6.86 tff(17482,plain,
% 6.64/6.86 (mult(b, mult(a, mult(a, mult(c, mult(a, b))))) = mult(b, mult(mult(mult(a, mult(a, c)), a), b))),
% 6.64/6.86 inference(monotonicity,[status(thm)],[17481])).
% 6.64/6.86 tff(17483,plain,
% 6.64/6.86 (mult(b, mult(mult(mult(a, mult(a, c)), a), b)) = mult(b, mult(a, mult(a, mult(c, mult(a, b)))))),
% 6.64/6.86 inference(symmetry,[status(thm)],[17482])).
% 6.64/6.86 tff(17484,plain,
% 6.64/6.86 (mult(mult(mult(c, a), b), a) = mult(mult(b, mult(c, a)), a)),
% 6.64/6.86 inference(transitivity,[status(thm)],[2807, 12145, 17470, 11251, 4650, 11925])).
% 6.64/6.86 tff(17485,plain,
% 6.64/6.86 (rd(mult(mult(mult(c, a), b), a), a) = rd(mult(mult(b, mult(c, a)), a), a)),
% 6.64/6.86 inference(monotonicity,[status(thm)],[17484])).
% 6.64/6.86 tff(17486,plain,
% 6.64/6.86 (mult(mult(c, a), b) = mult(b, mult(c, a))),
% 6.64/6.86 inference(transitivity,[status(thm)],[5995, 17485, 848])).
% 6.64/6.86 tff(17487,plain,
% 6.64/6.86 (mult(mult(mult(c, a), b), mult(a, b)) = mult(mult(b, mult(c, a)), mult(a, b))),
% 6.64/6.86 inference(monotonicity,[status(thm)],[17486])).
% 6.64/6.86 tff(17488,plain,
% 6.64/6.86 (mult(mult(b, mult(c, a)), mult(a, b)) = mult(mult(mult(c, a), b), mult(a, b))),
% 6.64/6.86 inference(symmetry,[status(thm)],[17487])).
% 6.64/6.86 tff(17489,plain,
% 6.64/6.86 (mult(mult(mult(b, mult(c, a)), mult(a, b)), a) = mult(mult(mult(mult(c, a), b), mult(a, b)), a)),
% 6.64/6.86 inference(monotonicity,[status(thm)],[17488])).
% 6.64/6.86 tff(17490,plain,
% 6.64/6.86 (mult(mult(mult(mult(c, a), b), mult(a, b)), a) = mult(mult(mult(b, mult(c, a)), mult(a, b)), a)),
% 6.64/6.86 inference(symmetry,[status(thm)],[17489])).
% 6.64/6.86 tff(17491,assumption,(mult(mult(mult(mult(c, a), b), mult(a, b)), a) = mult(mult(mult(c, a), b), mult(mult(a, b), a))), introduced(assumption)).
% 6.64/6.86 tff(17492,plain,
% 6.64/6.86 (mult(mult(mult(c, a), b), mult(mult(a, b), a)) = mult(mult(mult(mult(c, a), b), mult(a, b)), a)),
% 6.64/6.86 inference(symmetry,[status(thm)],[17491])).
% 6.64/6.86 tff(17493,plain,
% 6.64/6.86 (mult(mult(mult(c, a), b), mult(mult(a, b), a)) = mult(mult(b, mult(c, a)), mult(mult(a, b), a))),
% 6.64/6.86 inference(monotonicity,[status(thm)],[17486])).
% 6.64/6.86 tff(17494,plain,
% 6.64/6.86 (mult(mult(b, mult(c, a)), mult(mult(a, b), a)) = mult(mult(mult(c, a), b), mult(mult(a, b), a))),
% 6.64/6.86 inference(symmetry,[status(thm)],[17493])).
% 6.64/6.86 tff(17495,assumption,(mult(mult(b, a), mult(mult(b, a), mult(a, c))) = mult(b, mult(mult(mult(b, a), mult(a, c)), a))), introduced(assumption)).
% 6.64/6.86 tff(17496,plain,
% 6.64/6.86 (mult(b, mult(mult(mult(b, a), mult(a, c)), a)) = mult(mult(b, a), mult(mult(b, a), mult(a, c)))),
% 6.64/6.86 inference(symmetry,[status(thm)],[17495])).
% 6.64/6.86 tff(17497,plain,
% 6.64/6.86 (mult(b, mult(b, mult(mult(a, mult(a, c)), a))) = mult(mult(mult(b, mult(c, a)), mult(a, b)), a)),
% 6.64/6.86 inference(transitivity,[status(thm)],[12684, 17496, 8736, 10925, 11389, 4198, 17494, 17492, 17490])).
% 6.64/6.86 tff(17498,plain,
% 6.64/6.86 (rd(mult(mult(b, mult(c, a)), a), a) = rd(mult(mult(mult(c, a), b), a), a)),
% 6.64/6.86 inference(symmetry,[status(thm)],[17485])).
% 6.64/6.86 tff(17499,plain,
% 6.64/6.86 (mult(b, mult(c, a)) = mult(mult(c, a), b)),
% 6.64/6.86 inference(transitivity,[status(thm)],[11273, 17498, 3844])).
% 6.64/6.87 tff(17500,plain,
% 6.64/6.87 (mult(mult(b, mult(c, a)), mult(mult(a, a), b)) = mult(mult(mult(c, a), b), mult(mult(a, a), b))),
% 6.64/6.87 inference(monotonicity,[status(thm)],[17499])).
% 6.64/6.87 tff(17501,plain,
% 6.64/6.87 (mult(mult(mult(c, a), b), mult(mult(a, a), b)) = mult(mult(b, mult(c, a)), mult(mult(a, a), b))),
% 6.64/6.87 inference(symmetry,[status(thm)],[17500])).
% 6.64/6.87 tff(17502,plain,
% 6.64/6.87 (mult(mult(mult(c, a), b), mult(a, mult(a, b))) = mult(mult(mult(c, a), b), mult(mult(a, a), b))),
% 6.64/6.87 inference(symmetry,[status(thm)],[10246])).
% 6.64/6.87 tff(17503,assumption,(mult(mult(mult(mult(c, a), b), a), mult(a, b)) = mult(mult(mult(c, a), b), mult(a, mult(a, b)))), introduced(assumption)).
% 6.64/6.87 tff(17504,plain,
% 6.64/6.87 (mult(mult(mult(c, a), b), a) = mult(mult(b, a), mult(a, c))),
% 6.64/6.87 inference(transitivity,[status(thm)],[2807, 12145, 17470, 11251])).
% 6.64/6.87 tff(17505,plain,
% 6.64/6.87 (mult(mult(mult(mult(c, a), b), a), mult(a, b)) = mult(mult(mult(b, a), mult(a, c)), mult(a, b))),
% 6.64/6.87 inference(monotonicity,[status(thm)],[17504])).
% 6.64/6.87 tff(17506,plain,
% 6.64/6.87 (mult(mult(mult(b, a), mult(a, c)), mult(a, b)) = mult(mult(mult(mult(c, a), b), a), mult(a, b))),
% 6.64/6.87 inference(symmetry,[status(thm)],[17505])).
% 6.64/6.87 tff(17507,plain,
% 6.64/6.87 (mult(mult(b, mult(mult(a, mult(a, c)), a)), b) = mult(mult(b, mult(c, a)), mult(a, mult(a, b)))),
% 6.64/6.87 inference(transitivity,[status(thm)],[10951, 15021, 17506, 17503, 17502, 17501, 15822])).
% 6.64/6.87 tff(17508,plain,
% 6.64/6.87 ((mult(mult(b, mult(mult(a, mult(a, c)), a)), b) = mult(b, mult(b, mult(mult(a, mult(a, c)), a)))) <=> (mult(mult(b, mult(c, a)), mult(a, mult(a, b))) = mult(mult(mult(b, mult(c, a)), mult(a, b)), a))),
% 6.64/6.87 inference(monotonicity,[status(thm)],[17507, 17497])).
% 6.64/6.87 tff(17509,plain,
% 6.64/6.87 ((mult(mult(b, mult(mult(a, mult(a, c)), a)), b) = mult(b, mult(b, mult(mult(a, mult(a, c)), a)))) <=> (mult(mult(mult(b, mult(c, a)), mult(a, b)), a) = mult(mult(b, mult(c, a)), mult(a, mult(a, b))))),
% 6.64/6.87 inference(transitivity,[status(thm)],[17508, 17317])).
% 6.64/6.87 tff(17510,plain,
% 6.64/6.87 ((mult(mult(mult(b, mult(c, a)), mult(a, b)), a) = mult(mult(b, mult(c, a)), mult(a, mult(a, b)))) <=> (mult(mult(b, mult(mult(a, mult(a, c)), a)), b) = mult(b, mult(b, mult(mult(a, mult(a, c)), a))))),
% 6.64/6.87 inference(symmetry,[status(thm)],[17509])).
% 6.64/6.87 tff(17511,plain,
% 6.64/6.87 (mult(a, mult(mult(b, a), c)) = mult(mult(a, mult(b, a)), c)),
% 6.64/6.87 inference(symmetry,[status(thm)],[15784])).
% 6.64/6.87 tff(17512,plain,
% 6.64/6.87 (mult(a, mult(b, mult(c, a))) = mult(a, mult(mult(c, a), b))),
% 6.64/6.87 inference(monotonicity,[status(thm)],[17499])).
% 6.64/6.87 tff(17513,plain,
% 6.64/6.87 (mult(a, mult(mult(c, a), b)) = mult(a, mult(b, mult(c, a)))),
% 6.64/6.87 inference(symmetry,[status(thm)],[17512])).
% 6.64/6.87 tff(17514,plain,
% 6.64/6.87 (mult(a, mult(c, mult(a, b))) = mult(mult(mult(a, b), a), c)),
% 6.64/6.87 inference(transitivity,[status(thm)],[16025, 17513, 5246, 17511, 16952])).
% 6.64/6.87 tff(17515,plain,
% 6.64/6.87 (mult(mult(b, a), mult(a, mult(c, mult(a, b)))) = mult(mult(b, a), mult(mult(mult(a, b), a), c))),
% 6.64/6.87 inference(monotonicity,[status(thm)],[17514])).
% 6.64/6.87 tff(17516,plain,
% 6.64/6.87 (mult(mult(b, a), mult(mult(c, a), b)) = mult(mult(b, a), mult(b, mult(c, a)))),
% 6.64/6.87 inference(monotonicity,[status(thm)],[17486])).
% 6.64/6.87 tff(17517,plain,
% 6.64/6.87 (mult(mult(b, a), mult(b, mult(c, a))) = mult(mult(b, a), mult(mult(c, a), b))),
% 6.64/6.87 inference(symmetry,[status(thm)],[17516])).
% 6.64/6.87 tff(17518,plain,
% 6.64/6.87 (mult(mult(mult(b, a), mult(b, mult(c, a))), a) = mult(mult(mult(b, a), mult(mult(c, a), b)), a)),
% 6.64/6.87 inference(monotonicity,[status(thm)],[17517])).
% 6.64/6.87 tff(17519,plain,
% 6.64/6.87 (mult(a, mult(b, mult(c, a))) = mult(mult(mult(a, b), a), c)),
% 6.64/6.87 inference(transitivity,[status(thm)],[5246, 17511, 16952])).
% 6.64/6.87 tff(17520,plain,
% 6.64/6.87 (mult(mult(a, mult(b, mult(c, a))), a) = mult(mult(mult(mult(a, b), a), c), a)),
% 6.64/6.87 inference(monotonicity,[status(thm)],[17519])).
% 6.64/6.87 tff(17521,plain,
% 6.64/6.87 (mult(mult(mult(mult(a, b), a), c), a) = mult(mult(a, mult(b, mult(c, a))), a)),
% 6.64/6.87 inference(symmetry,[status(thm)],[17520])).
% 6.64/6.87 tff(17522,plain,
% 6.64/6.87 (ld(mult(b, a), mult(mult(b, a), mult(mult(b, a), mult(a, c)))) = ld(mult(b, a), mult(mult(b, a), mult(c, mult(mult(a, b), a))))),
% 6.64/6.87 inference(symmetry,[status(thm)],[17470])).
% 6.64/6.87 tff(17523,plain,
% 6.64/6.87 (mult(mult(b, a), mult(a, c)) = mult(mult(mult(c, a), b), a)),
% 6.64/6.87 inference(transitivity,[status(thm)],[11270, 17522, 11130, 2808])).
% 6.64/6.87 tff(17524,plain,
% 6.64/6.87 (mult(a, mult(mult(b, a), mult(a, c))) = mult(a, mult(mult(mult(c, a), b), a))),
% 6.64/6.87 inference(monotonicity,[status(thm)],[17523])).
% 6.64/6.87 tff(17525,plain,
% 6.64/6.87 (mult(a, mult(mult(mult(c, a), b), a)) = mult(a, mult(mult(b, a), mult(a, c)))),
% 6.64/6.87 inference(symmetry,[status(thm)],[17524])).
% 6.64/6.87 tff(17526,plain,
% 6.64/6.87 (mult(a, mult(c, mult(mult(a, b), a))) = mult(mult(a, mult(b, mult(c, a))), a)),
% 6.64/6.87 inference(transitivity,[status(thm)],[10777, 17525, 11306, 11305, 16004, 11097, 17521])).
% 6.64/6.87 tff(17527,plain,
% 6.64/6.87 (mult(b, mult(a, mult(c, mult(mult(a, b), a)))) = mult(b, mult(mult(a, mult(b, mult(c, a))), a))),
% 6.64/6.87 inference(monotonicity,[status(thm)],[17526])).
% 6.64/6.87 tff(17528,plain,
% 6.64/6.87 (mult(mult(mult(a, b), a), mult(a, c)) = mult(a, mult(c, mult(mult(a, b), a)))),
% 6.64/6.87 inference(transitivity,[status(thm)],[11304, 11249, 17524, 11036])).
% 6.64/6.87 tff(17529,plain,
% 6.64/6.87 (mult(b, mult(mult(mult(a, b), a), mult(a, c))) = mult(b, mult(a, mult(c, mult(mult(a, b), a))))),
% 6.64/6.87 inference(monotonicity,[status(thm)],[17528])).
% 6.64/6.87 tff(17530,plain,
% 6.64/6.87 (mult(mult(mult(c, a), b), mult(a, mult(a, b))) = mult(mult(mult(mult(c, a), b), a), mult(a, b))),
% 6.64/6.87 inference(symmetry,[status(thm)],[17503])).
% 6.64/6.87 tff(17531,plain,
% 6.64/6.87 (mult(mult(b, mult(c, a)), mult(a, mult(a, b))) = mult(mult(b, a), mult(mult(mult(a, b), a), c))),
% 6.64/6.87 inference(transitivity,[status(thm)],[7919, 17500, 10246, 17530, 17505, 11391, 12696, 16959, 17529, 17527, 14695, 17518, 11567, 16621, 17515])).
% 6.64/6.87 tff(17532,plain,
% 6.64/6.87 (mult(mult(mult(b, mult(c, a)), mult(a, b)), a) = mult(mult(mult(b, a), c), mult(mult(a, b), a))),
% 6.64/6.87 inference(transitivity,[status(thm)],[17489, 17491, 17493, 11610])).
% 6.64/6.87 tff(17533,plain,
% 6.64/6.87 ((mult(mult(mult(b, mult(c, a)), mult(a, b)), a) = mult(mult(b, mult(c, a)), mult(a, mult(a, b)))) <=> (mult(mult(mult(b, a), c), mult(mult(a, b), a)) = mult(mult(b, a), mult(mult(mult(a, b), a), c)))),
% 6.64/6.87 inference(monotonicity,[status(thm)],[17532, 17531])).
% 6.64/6.87 tff(17534,plain,
% 6.64/6.87 ((mult(mult(mult(b, a), c), mult(mult(a, b), a)) = mult(mult(b, a), mult(mult(mult(a, b), a), c))) <=> (mult(mult(mult(b, mult(c, a)), mult(a, b)), a) = mult(mult(b, mult(c, a)), mult(a, mult(a, b))))),
% 6.64/6.87 inference(symmetry,[status(thm)],[17533])).
% 6.64/6.87 tff(17535,plain,
% 6.64/6.87 ((mult(mult(mult(b, a), c), mult(mult(a, b), a)) = mult(mult(b, a), mult(mult(mult(a, b), a), c))) <=> (mult(mult(b, mult(mult(a, mult(a, c)), a)), b) = mult(b, mult(b, mult(mult(a, mult(a, c)), a))))),
% 6.64/6.87 inference(transitivity,[status(thm)],[17534, 17510])).
% 6.64/6.87 tff(17536,plain,
% 6.64/6.87 ((~(mult(mult(mult(b, a), c), mult(mult(a, b), a)) = mult(mult(b, a), mult(mult(mult(a, b), a), c)))) <=> (~(mult(mult(b, mult(mult(a, mult(a, c)), a)), b) = mult(b, mult(b, mult(mult(a, mult(a, c)), a)))))),
% 6.64/6.87 inference(monotonicity,[status(thm)],[17535])).
% 6.64/6.87 tff(17537,plain,
% 6.64/6.87 (~(mult(mult(b, mult(mult(a, mult(a, c)), a)), b) = mult(b, mult(b, mult(mult(a, mult(a, c)), a))))),
% 6.64/6.87 inference(modus_ponens,[status(thm)],[15832, 17536])).
% 6.64/6.87 tff(17538,plain,
% 6.64/6.87 ((~(mult(mult(b, b), mult(mult(a, mult(a, c)), a)) = mult(b, mult(mult(mult(a, mult(a, c)), a), b)))) | (~(mult(mult(b, mult(mult(a, mult(a, c)), a)), b) = mult(b, mult(b, mult(mult(a, mult(a, c)), a)))))),
% 6.64/6.87 inference(unit_resolution,[status(thm)],[16547, 17537])).
% 6.64/6.87 tff(17539,plain,
% 6.64/6.87 (~((~(mult(mult(b, b), mult(mult(a, mult(a, c)), a)) = mult(b, mult(b, mult(mult(a, mult(a, c)), a))))) | (~(mult(mult(b, mult(mult(a, mult(a, c)), a)), b) = mult(b, mult(mult(mult(a, mult(a, c)), a), b)))))),
% 6.64/6.87 inference(unit_resolution,[status(thm)],[16552, 17538])).
% 6.64/6.87 tff(17540,plain,
% 6.64/6.87 (mult(mult(b, mult(mult(a, mult(a, c)), a)), b) = mult(b, mult(mult(mult(a, mult(a, c)), a), b))),
% 6.64/6.87 inference(unit_resolution,[status(thm)],[16554, 17539])).
% 6.64/6.87 tff(17541,plain,
% 6.64/6.87 (mult(b, mult(mult(mult(a, b), a), mult(a, c))) = mult(b, mult(mult(a, b), mult(mult(a, c), a)))),
% 6.64/6.87 inference(symmetry,[status(thm)],[16959])).
% 6.64/6.87 tff(17542,plain,
% 6.64/6.87 (mult(b, mult(a, mult(c, mult(mult(a, b), a)))) = mult(b, mult(mult(mult(a, b), a), mult(a, c)))),
% 6.64/6.87 inference(symmetry,[status(thm)],[17529])).
% 6.64/6.87 tff(17543,plain,
% 6.64/6.87 (mult(b, mult(a, mult(mult(mult(c, a), b), a))) = mult(b, mult(a, mult(a, mult(c, mult(a, b)))))),
% 6.64/6.87 inference(transitivity,[status(thm)],[16824, 17542, 17541, 12697, 11392, 15022, 12692, 17540, 17483])).
% 6.64/6.87 tff(17544,plain,
% 6.64/6.87 (ld(b, mult(b, mult(a, mult(mult(mult(c, a), b), a)))) = ld(b, mult(b, mult(a, mult(a, mult(c, mult(a, b))))))),
% 6.64/6.87 inference(monotonicity,[status(thm)],[17543])).
% 6.64/6.87 tff(17545,plain,
% 6.64/6.87 (ld(b, mult(b, mult(a, mult(a, mult(c, mult(a, b)))))) = ld(b, mult(b, mult(a, mult(mult(mult(c, a), b), a))))),
% 6.64/6.87 inference(symmetry,[status(thm)],[17544])).
% 6.64/6.87 tff(17546,plain,
% 6.64/6.87 ((~![B: $i, A: $i] : (ld(A, mult(A, B)) = B)) | (ld(b, mult(b, mult(a, mult(a, mult(c, mult(a, b)))))) = mult(a, mult(a, mult(c, mult(a, b)))))),
% 6.64/6.87 inference(quant_inst,[status(thm)],[])).
% 6.64/6.87 tff(17547,plain,
% 6.64/6.87 (ld(b, mult(b, mult(a, mult(a, mult(c, mult(a, b)))))) = mult(a, mult(a, mult(c, mult(a, b))))),
% 6.64/6.87 inference(unit_resolution,[status(thm)],[17546, 9])).
% 6.64/6.87 tff(17548,plain,
% 6.64/6.87 (mult(a, mult(a, mult(c, mult(a, b)))) = ld(b, mult(b, mult(a, mult(a, mult(c, mult(a, b))))))),
% 6.64/6.87 inference(symmetry,[status(thm)],[17547])).
% 6.64/6.87 tff(17549,plain,
% 6.64/6.87 (mult(a, mult(a, mult(c, mult(a, b)))) = mult(a, mult(c, mult(mult(a, b), a)))),
% 6.64/6.87 inference(transitivity,[status(thm)],[17548, 17545, 16823, 11036])).
% 6.64/6.87 tff(17550,plain,
% 6.64/6.87 (ld(a, mult(a, mult(a, mult(c, mult(a, b))))) = ld(a, mult(a, mult(c, mult(mult(a, b), a))))),
% 6.64/6.87 inference(monotonicity,[status(thm)],[17549])).
% 6.64/6.87 tff(17551,plain,
% 6.64/6.87 ((~![B: $i, A: $i] : (ld(A, mult(A, B)) = B)) | (ld(a, mult(a, mult(a, mult(c, mult(a, b))))) = mult(a, mult(c, mult(a, b))))),
% 6.64/6.87 inference(quant_inst,[status(thm)],[])).
% 6.64/6.87 tff(17552,plain,
% 6.64/6.87 (ld(a, mult(a, mult(a, mult(c, mult(a, b))))) = mult(a, mult(c, mult(a, b)))),
% 6.64/6.87 inference(unit_resolution,[status(thm)],[17551, 9])).
% 6.64/6.87 tff(17553,plain,
% 6.64/6.87 (mult(a, mult(c, mult(a, b))) = ld(a, mult(a, mult(a, mult(c, mult(a, b)))))),
% 6.64/6.87 inference(symmetry,[status(thm)],[17552])).
% 6.64/6.87 tff(17554,plain,
% 6.64/6.87 (mult(mult(mult(a, b), a), c) = mult(mult(b, a), mult(a, c))),
% 6.64/6.87 inference(transitivity,[status(thm)],[15154, 15784, 4878, 17512, 2024, 17553, 17550, 12147, 12145, 17470, 11251])).
% 6.64/6.87 tff(17555,plain,
% 6.64/6.87 (mult(mult(b, a), mult(mult(mult(a, b), a), c)) = mult(mult(b, a), mult(mult(b, a), mult(a, c)))),
% 6.64/6.87 inference(monotonicity,[status(thm)],[17554])).
% 6.64/6.87 tff(17556,plain,
% 6.64/6.87 (mult(mult(b, a), mult(mult(b, a), mult(a, c))) = mult(mult(b, a), mult(mult(mult(a, b), a), c))),
% 6.64/6.87 inference(symmetry,[status(thm)],[17555])).
% 6.64/6.87 tff(17557,plain,
% 6.64/6.87 (mult(mult(mult(b, a), c), mult(mult(a, b), a)) = mult(mult(b, a), mult(mult(mult(a, b), a), c))),
% 6.64/6.87 inference(transitivity,[status(thm)],[11155, 7884, 11388, 7850, 8734, 17556])).
% 6.64/6.87 tff(17558,plain,
% 6.64/6.87 ($false),
% 6.64/6.87 inference(unit_resolution,[status(thm)],[15832, 17557])).
% 6.64/6.87 tff(17559,plain,((~(mult(mult(b, mult(mult(a, c), a)), mult(a, b)) = mult(b, mult(mult(a, b), mult(mult(a, c), a))))) | (mult(mult(mult(b, a), c), mult(mult(a, b), a)) = mult(mult(b, a), mult(mult(mult(a, b), a), c))) | (~(mult(mult(mult(mult(b, a), mult(a, c)), b), a) = mult(mult(mult(b, a), mult(a, c)), mult(b, a)))) | (~(mult(mult(mult(b, a), mult(a, c)), mult(b, a)) = mult(mult(b, a), mult(mult(b, a), mult(a, c))))) | (~(mult(mult(mult(mult(b, a), mult(a, c)), a), b) = mult(mult(mult(b, a), mult(a, c)), mult(a, b)))) | (~(mult(mult(a, mult(b, a)), mult(a, c)) = mult(a, mult(mult(b, a), mult(a, c))))) | (~(mult(mult(mult(mult(a, a), c), a), b) = mult(mult(mult(a, a), c), mult(a, b)))) | (~(mult(mult(a, mult(a, c)), mult(a, b)) = mult(a, mult(mult(a, c), mult(a, b))))) | (~(mult(mult(a, mult(a, c)), b) = mult(a, mult(mult(a, c), b)))) | (~(mult(mult(mult(a, a), c), b) = mult(mult(a, a), mult(c, b)))) | (~(mult(mult(c, a), b) = mult(c, mult(a, b)))) | (~(mult(mult(mult(mult(c, a), b), a), mult(a, b)) = mult(mult(mult(c, a), b), mult(a, mult(a, b))))) | (~(mult(mult(mult(b, a), mult(mult(c, a), b)), a) = mult(mult(b, a), mult(a, mult(mult(c, a), b))))) | (~(mult(mult(mult(mult(c, a), b), mult(a, b)), a) = mult(mult(mult(c, a), b), mult(mult(a, b), a)))) | (~(mult(mult(b, a), mult(mult(b, a), mult(a, c))) = mult(b, mult(mult(mult(b, a), mult(a, c)), a))))), inference(lemma,lemma(discharge,[]))).
% 6.72/6.87 tff(17560,plain,
% 6.72/6.87 (~(mult(mult(b, mult(mult(a, c), a)), mult(a, b)) = mult(b, mult(mult(a, b), mult(mult(a, c), a))))),
% 6.72/6.87 inference(unit_resolution,[status(thm)],[17559, 15832, 17284, 17300, 17463, 17352, 17468, 17119, 16053, 16054, 15733, 17434, 17415, 17327, 17431])).
% 6.72/6.87 tff(17561,plain,
% 6.72/6.87 ((~(mult(mult(b, mult(a, b)), mult(mult(a, c), a)) = mult(b, mult(mult(mult(a, c), a), mult(a, b))))) | (~(mult(mult(b, mult(mult(a, c), a)), mult(a, b)) = mult(b, mult(mult(a, b), mult(mult(a, c), a)))))),
% 6.72/6.87 inference(unit_resolution,[status(thm)],[11530, 17560])).
% 6.72/6.87 tff(17562,plain,
% 6.72/6.87 (~((~(mult(mult(b, mult(a, b)), mult(mult(a, c), a)) = mult(b, mult(mult(a, b), mult(mult(a, c), a))))) | (~(mult(mult(b, mult(mult(a, c), a)), mult(a, b)) = mult(b, mult(mult(mult(a, c), a), mult(a, b))))))),
% 6.72/6.87 inference(unit_resolution,[status(thm)],[11528, 17561])).
% 6.72/6.87 tff(17563,plain,
% 6.72/6.87 (mult(mult(b, mult(mult(a, c), a)), mult(a, b)) = mult(b, mult(mult(mult(a, c), a), mult(a, b)))),
% 6.72/6.87 inference(unit_resolution,[status(thm)],[11520, 17562])).
% 6.72/6.87 tff(17564,plain,
% 6.72/6.87 ((~![B: $i, A: $i] : (ld(A, mult(A, B)) = B)) | (ld(b, mult(b, mult(mult(a, mult(a, c)), mult(a, b)))) = mult(mult(a, mult(a, c)), mult(a, b)))),
% 6.72/6.87 inference(quant_inst,[status(thm)],[])).
% 6.72/6.87 tff(17565,plain,
% 6.72/6.87 (ld(b, mult(b, mult(mult(a, mult(a, c)), mult(a, b)))) = mult(mult(a, mult(a, c)), mult(a, b))),
% 6.72/6.87 inference(unit_resolution,[status(thm)],[17564, 9])).
% 6.72/6.87 tff(17566,plain,
% 6.72/6.87 (mult(mult(a, mult(a, c)), a) = mult(mult(mult(a, a), c), a)),
% 6.72/6.87 inference(transitivity,[status(thm)],[16564, 5394])).
% 6.72/6.87 tff(17567,plain,
% 6.72/6.87 (mult(mult(mult(a, mult(a, c)), a), b) = mult(mult(mult(mult(a, a), c), a), b)),
% 6.72/6.87 inference(monotonicity,[status(thm)],[17566])).
% 6.72/6.87 tff(17568,plain,
% 6.72/6.87 (mult(mult(mult(mult(a, a), c), a), b) = mult(mult(mult(a, mult(a, c)), a), b)),
% 6.72/6.87 inference(symmetry,[status(thm)],[17567])).
% 6.72/6.87 tff(17569,plain,
% 6.72/6.87 (mult(mult(a, mult(a, c)), mult(a, b)) = mult(mult(mult(a, mult(a, c)), a), b)),
% 6.72/6.87 inference(transitivity,[status(thm)],[17478, 17476, 17568])).
% 6.72/6.87 tff(17570,plain,
% 6.72/6.87 (mult(b, mult(mult(a, mult(a, c)), mult(a, b))) = mult(b, mult(mult(mult(a, mult(a, c)), a), b))),
% 6.72/6.87 inference(monotonicity,[status(thm)],[17569])).
% 6.72/6.87 tff(17571,plain,
% 6.72/6.87 (mult(b, mult(mult(mult(a, mult(a, c)), a), b)) = mult(b, mult(mult(a, mult(a, c)), mult(a, b)))),
% 6.72/6.87 inference(symmetry,[status(thm)],[17570])).
% 6.72/6.87 tff(17572,plain,
% 6.72/6.87 (mult(b, mult(mult(a, c), mult(a, mult(a, b)))) = mult(b, mult(mult(mult(a, c), a), mult(a, b)))),
% 6.72/6.87 inference(monotonicity,[status(thm)],[16140])).
% 6.72/6.87 tff(17573,plain,
% 6.72/6.87 (mult(b, mult(mult(a, c), mult(a, mult(a, b)))) = mult(b, mult(mult(a, mult(a, c)), mult(a, b)))),
% 6.72/6.87 inference(transitivity,[status(thm)],[17572, 13733, 11585, 15022, 12692, 16562, 17571])).
% 6.72/6.87 tff(17574,plain,
% 6.72/6.87 (ld(b, mult(b, mult(mult(a, c), mult(a, mult(a, b))))) = ld(b, mult(b, mult(mult(a, mult(a, c)), mult(a, b))))),
% 6.72/6.87 inference(monotonicity,[status(thm)],[17573])).
% 6.72/6.87 tff(17575,plain,
% 6.72/6.87 (mult(mult(mult(a, c), a), mult(a, b)) = mult(mult(a, mult(a, c)), mult(a, b))),
% 6.72/6.87 inference(transitivity,[status(thm)],[16110, 16846, 17574, 17565])).
% 6.72/6.87 tff(17576,plain,
% 6.72/6.87 (rd(mult(mult(mult(a, c), a), mult(a, b)), mult(a, b)) = rd(mult(mult(a, mult(a, c)), mult(a, b)), mult(a, b))),
% 6.72/6.87 inference(monotonicity,[status(thm)],[17575])).
% 6.72/6.87 tff(17577,plain,
% 6.72/6.87 (rd(mult(mult(a, mult(a, c)), mult(a, b)), mult(a, b)) = rd(mult(mult(mult(a, c), a), mult(a, b)), mult(a, b))),
% 6.72/6.87 inference(symmetry,[status(thm)],[17576])).
% 6.72/6.87 tff(17578,plain,
% 6.72/6.87 (mult(a, mult(a, c)) = mult(mult(a, c), a)),
% 6.72/6.87 inference(transitivity,[status(thm)],[16202, 17577, 16190])).
% 6.72/6.87 tff(17579,plain,
% 6.72/6.87 (mult(a, mult(a, mult(a, c))) = mult(a, mult(mult(a, c), a))),
% 6.72/6.87 inference(monotonicity,[status(thm)],[17578])).
% 6.72/6.87 tff(17580,plain,
% 6.72/6.87 (mult(a, mult(mult(a, c), a)) = mult(a, mult(a, mult(a, c)))),
% 6.72/6.87 inference(symmetry,[status(thm)],[17579])).
% 6.72/6.88 tff(17581,plain,
% 6.72/6.88 (mult(mult(a, mult(a, c)), a) = mult(a, mult(a, mult(a, c)))),
% 6.72/6.88 inference(transitivity,[status(thm)],[16564, 17580])).
% 6.72/6.88 tff(17582,plain,
% 6.72/6.88 ($false),
% 6.72/6.88 inference(unit_resolution,[status(thm)],[16188, 17581])).
% 6.72/6.88 tff(17583,plain,((~(mult(mult(b, mult(mult(a, mult(a, c)), a)), b) = mult(b, mult(mult(mult(a, mult(a, c)), a), b)))) | (mult(mult(a, mult(a, c)), a) = mult(a, mult(a, mult(a, c)))) | (~(mult(mult(mult(a, c), a), mult(a, b)) = mult(mult(a, c), mult(a, mult(a, b))))) | (~(mult(mult(mult(mult(b, a), mult(a, c)), a), b) = mult(mult(mult(b, a), mult(a, c)), mult(a, b)))) | (~(mult(mult(b, mult(mult(a, c), a)), mult(a, b)) = mult(b, mult(mult(mult(a, c), a), mult(a, b))))) | (~(mult(mult(mult(mult(a, a), c), a), b) = mult(mult(mult(a, a), c), mult(a, b)))) | (~(mult(mult(a, mult(a, c)), b) = mult(a, mult(mult(a, c), b)))) | (~(mult(mult(mult(a, a), c), b) = mult(mult(a, a), mult(c, b))))), inference(lemma,lemma(discharge,[]))).
% 6.72/6.88 tff(17584,plain,
% 6.72/6.88 (~(mult(mult(b, mult(mult(a, mult(a, c)), a)), b) = mult(b, mult(mult(mult(a, mult(a, c)), a), b)))),
% 6.72/6.88 inference(unit_resolution,[status(thm)],[17583, 17563, 17463, 16839, 16054, 17468, 16053, 16076])).
% 6.72/6.88 tff(17585,plain,
% 6.72/6.88 ((~(mult(mult(b, b), mult(mult(a, mult(a, c)), a)) = mult(b, mult(b, mult(mult(a, mult(a, c)), a))))) | (~(mult(mult(b, mult(mult(a, mult(a, c)), a)), b) = mult(b, mult(mult(mult(a, mult(a, c)), a), b))))),
% 6.72/6.88 inference(unit_resolution,[status(thm)],[16554, 17584])).
% 6.72/6.88 tff(17586,plain,
% 6.72/6.88 (~((~(mult(mult(b, b), mult(mult(a, mult(a, c)), a)) = mult(b, mult(mult(mult(a, mult(a, c)), a), b)))) | (~(mult(mult(b, mult(mult(a, mult(a, c)), a)), b) = mult(b, mult(b, mult(mult(a, mult(a, c)), a))))))),
% 6.72/6.88 inference(unit_resolution,[status(thm)],[16552, 17585])).
% 6.72/6.88 tff(17587,plain,
% 6.72/6.88 (mult(mult(b, mult(mult(a, mult(a, c)), a)), b) = mult(b, mult(b, mult(mult(a, mult(a, c)), a)))),
% 6.72/6.88 inference(unit_resolution,[status(thm)],[16547, 17586])).
% 6.72/6.88 tff(17588,plain,
% 6.72/6.88 (mult(mult(mult(mult(c, a), b), mult(a, b)), a) = mult(mult(mult(c, a), b), mult(a, mult(a, b)))),
% 6.72/6.88 inference(modus_ponens,[status(thm)],[17587, 17467])).
% 6.72/6.88 tff(17589,plain,
% 6.72/6.88 ($false),
% 6.72/6.88 inference(unit_resolution,[status(thm)],[17369, 17588])).
% 6.72/6.88 tff(17590,plain,((mult(mult(mult(b, a), c), mult(mult(a, b), a)) = mult(mult(b, a), mult(mult(mult(a, b), a), c))) | (mult(a, b) = mult(b, a))), inference(lemma,lemma(discharge,[]))).
% 6.72/6.88 tff(17591,plain,
% 6.72/6.88 (mult(mult(mult(b, a), c), mult(mult(a, b), a)) = mult(mult(b, a), mult(mult(mult(a, b), a), c))),
% 6.72/6.88 inference(unit_resolution,[status(thm)],[17590, 1])).
% 6.72/6.88 tff(17592,plain,
% 6.72/6.88 (mult(c, mult(mult(a, b), a)) = mult(c, mult(a, mult(b, a)))),
% 6.72/6.88 inference(symmetry,[status(thm)],[4516])).
% 6.72/6.88 tff(17593,plain,
% 6.72/6.88 (mult(mult(mult(b, a), mult(a, c)), mult(a, b)) = mult(mult(mult(mult(b, a), mult(a, c)), b), a)),
% 6.72/6.88 inference(symmetry,[status(thm)],[11888])).
% 6.72/6.88 tff(17594,assumption,(mult(mult(mult(b, a), mult(a, c)), mult(a, b)) = mult(mult(b, a), mult(mult(a, b), mult(a, c)))), introduced(assumption)).
% 6.72/6.88 tff(17595,plain,
% 6.72/6.88 (mult(mult(b, a), mult(mult(mult(a, b), a), c)) = mult(mult(b, a), mult(mult(mult(a, b), c), a))),
% 6.72/6.88 inference(transitivity,[status(thm)],[11253, 11155, 7884, 11596, 11316, 17594, 12767])).
% 6.72/6.88 tff(17596,plain,
% 6.72/6.88 (ld(mult(b, a), mult(mult(b, a), mult(mult(mult(a, b), a), c))) = ld(mult(b, a), mult(mult(b, a), mult(mult(mult(a, b), c), a)))),
% 6.72/6.88 inference(monotonicity,[status(thm)],[17595])).
% 6.72/6.88 tff(17597,assumption,(ld(mult(b, a), mult(mult(b, a), mult(mult(mult(a, b), a), c))) = mult(mult(mult(a, b), a), c)), introduced(assumption)).
% 6.72/6.88 tff(17598,plain,
% 6.72/6.88 (mult(mult(mult(a, b), a), c) = ld(mult(b, a), mult(mult(b, a), mult(mult(mult(a, b), a), c)))),
% 6.72/6.88 inference(symmetry,[status(thm)],[17597])).
% 6.72/6.88 tff(17599,plain,
% 6.72/6.88 (mult(mult(mult(a, b), a), c) = mult(mult(a, b), mult(a, c))),
% 6.72/6.88 inference(transitivity,[status(thm)],[17598, 17596, 12765, 168])).
% 6.72/6.88 tff(17600,plain,
% 6.72/6.88 ($false),
% 6.72/6.88 inference(unit_resolution,[status(thm)],[2880, 17599])).
% 6.72/6.88 tff(17601,plain,((~(ld(mult(b, a), mult(mult(b, a), mult(mult(mult(a, b), a), c))) = mult(mult(mult(a, b), a), c))) | (mult(mult(mult(a, b), a), c) = mult(mult(a, b), mult(a, c))) | (~(mult(mult(mult(a, b), c), a) = mult(mult(a, b), mult(a, c)))) | (~(mult(mult(mult(b, a), c), mult(mult(a, b), a)) = mult(mult(b, a), mult(mult(mult(a, b), a), c)))) | (~(mult(mult(mult(b, a), mult(a, c)), mult(a, b)) = mult(mult(b, a), mult(mult(a, b), mult(a, c))))) | (~(mult(mult(mult(mult(b, a), mult(a, c)), b), a) = mult(mult(mult(b, a), mult(a, c)), mult(a, b))))), inference(lemma,lemma(discharge,[]))).
% 6.72/6.88 tff(17602,plain,
% 6.72/6.88 ((mult(mult(mult(a, b), a), c) = mult(mult(a, b), mult(a, c))) | (~(mult(mult(mult(a, b), c), a) = mult(mult(a, b), mult(a, c)))) | (~(mult(mult(mult(b, a), c), mult(mult(a, b), a)) = mult(mult(b, a), mult(mult(mult(a, b), a), c)))) | (~(mult(mult(mult(b, a), mult(a, c)), mult(a, b)) = mult(mult(b, a), mult(mult(a, b), mult(a, c))))) | (~(mult(mult(mult(mult(b, a), mult(a, c)), b), a) = mult(mult(mult(b, a), mult(a, c)), mult(a, b))))),
% 6.72/6.88 inference(unit_resolution,[status(thm)],[17601, 16396])).
% 6.72/6.88 tff(17603,plain,
% 6.72/6.88 (~(mult(mult(mult(b, a), mult(a, c)), mult(a, b)) = mult(mult(b, a), mult(mult(a, b), mult(a, c))))),
% 6.72/6.88 inference(unit_resolution,[status(thm)],[17602, 11888, 11252, 2880, 168])).
% 6.72/6.88 tff(17604,plain,
% 6.72/6.88 ((~(mult(mult(mult(b, a), mult(a, b)), mult(a, c)) = mult(mult(b, a), mult(mult(a, c), mult(a, b))))) | (~(mult(mult(mult(b, a), mult(a, c)), mult(a, b)) = mult(mult(b, a), mult(mult(a, b), mult(a, c)))))),
% 6.72/6.88 inference(unit_resolution,[status(thm)],[12503, 17603])).
% 6.72/6.88 tff(17605,plain,
% 6.72/6.88 (~((~(mult(mult(mult(b, a), mult(a, b)), mult(a, c)) = mult(mult(b, a), mult(mult(a, b), mult(a, c))))) | (~(mult(mult(mult(b, a), mult(a, c)), mult(a, b)) = mult(mult(b, a), mult(mult(a, c), mult(a, b))))))),
% 6.72/6.88 inference(unit_resolution,[status(thm)],[12507, 30, 17604])).
% 6.72/6.88 tff(17606,plain,
% 6.72/6.88 (mult(mult(mult(b, a), mult(a, c)), mult(a, b)) = mult(mult(b, a), mult(mult(a, c), mult(a, b)))),
% 6.72/6.88 inference(unit_resolution,[status(thm)],[16631, 17605])).
% 6.72/6.88 tff(17607,plain,
% 6.72/6.88 (mult(mult(b, a), mult(mult(a, c), mult(a, b))) = mult(mult(mult(b, a), mult(a, c)), mult(a, b))),
% 6.72/6.88 inference(symmetry,[status(thm)],[17606])).
% 6.72/6.88 tff(17608,plain,
% 6.72/6.88 (mult(mult(b, a), mult(a, mult(c, mult(a, b)))) = mult(mult(b, a), mult(mult(a, c), mult(a, b)))),
% 6.72/6.88 inference(monotonicity,[status(thm)],[16826])).
% 6.72/6.88 tff(17609,plain,
% 6.72/6.88 (mult(mult(b, a), mult(a, mult(c, mult(a, b)))) = mult(mult(b, a), mult(mult(mult(a, b), a), c))),
% 6.72/6.88 inference(transitivity,[status(thm)],[17608, 17607, 17593, 4201, 4198, 11395, 11252])).
% 6.72/6.88 tff(17610,plain,
% 6.72/6.88 (ld(mult(b, a), mult(mult(b, a), mult(a, mult(c, mult(a, b))))) = ld(mult(b, a), mult(mult(b, a), mult(mult(mult(a, b), a), c)))),
% 6.72/6.88 inference(monotonicity,[status(thm)],[17609])).
% 6.72/6.88 tff(17611,plain,
% 6.72/6.88 (ld(mult(b, a), mult(mult(b, a), mult(mult(mult(a, b), a), c))) = ld(mult(b, a), mult(mult(b, a), mult(a, mult(c, mult(a, b)))))),
% 6.72/6.88 inference(symmetry,[status(thm)],[17610])).
% 6.72/6.88 tff(17612,plain,
% 6.72/6.88 (mult(mult(mult(a, b), a), c) = mult(a, mult(c, mult(a, b)))),
% 6.72/6.88 inference(transitivity,[status(thm)],[16397, 17611, 16557])).
% 6.72/6.88 tff(17613,plain,
% 6.72/6.88 (mult(mult(mult(mult(a, b), a), c), a) = mult(mult(a, mult(c, mult(a, b))), a)),
% 6.72/6.88 inference(monotonicity,[status(thm)],[17612])).
% 6.72/6.88 tff(17614,plain,
% 6.72/6.88 (mult(mult(a, mult(c, mult(a, b))), a) = mult(mult(mult(mult(a, b), a), c), a)),
% 6.72/6.88 inference(symmetry,[status(thm)],[17613])).
% 6.72/6.88 tff(17615,plain,
% 6.72/6.88 (mult(mult(a, c), mult(mult(a, b), a)) = mult(mult(mult(a, c), mult(a, b)), a)),
% 6.72/6.88 inference(symmetry,[status(thm)],[1533])).
% 6.72/6.88 tff(17616,plain,
% 6.72/6.88 (mult(a, mult(c, mult(mult(a, b), a))) = mult(a, mult(mult(b, a), mult(a, c)))),
% 6.72/6.88 inference(transitivity,[status(thm)],[11035, 17615, 16828, 17614, 11096, 16958, 11016, 11249])).
% 6.72/6.88 tff(17617,plain,
% 6.72/6.88 (ld(a, mult(a, mult(c, mult(mult(a, b), a)))) = ld(a, mult(a, mult(mult(b, a), mult(a, c))))),
% 6.72/6.88 inference(monotonicity,[status(thm)],[17616])).
% 6.72/6.88 tff(17618,plain,
% 6.72/6.88 (ld(a, mult(a, mult(mult(b, a), mult(a, c)))) = ld(a, mult(a, mult(c, mult(mult(a, b), a))))),
% 6.72/6.88 inference(symmetry,[status(thm)],[17617])).
% 6.72/6.88 tff(17619,plain,
% 6.72/6.88 (mult(mult(b, mult(c, a)), mult(mult(b, a), a)) = mult(mult(mult(b, mult(c, a)), a), mult(b, a))),
% 6.72/6.88 inference(symmetry,[status(thm)],[17222])).
% 6.72/6.88 tff(17620,assumption,(~(mult(mult(c, mult(b, a)), a) = mult(c, mult(a, mult(b, a))))), introduced(assumption)).
% 6.72/6.88 tff(17621,plain,
% 6.72/6.88 ((~(mult(mult(c, a), mult(b, a)) = mult(c, mult(mult(b, a), a)))) | (~(mult(mult(c, mult(b, a)), a) = mult(c, mult(a, mult(b, a)))))),
% 6.72/6.88 inference(unit_resolution,[status(thm)],[15828, 17620])).
% 6.72/6.88 tff(17622,plain,
% 6.72/6.88 (~((~(mult(mult(c, a), mult(b, a)) = mult(c, mult(a, mult(b, a))))) | (~(mult(mult(c, mult(b, a)), a) = mult(c, mult(mult(b, a), a)))))),
% 6.72/6.88 inference(unit_resolution,[status(thm)],[4534, 17621])).
% 6.72/6.88 tff(17623,plain,
% 6.72/6.88 (mult(mult(c, a), mult(b, a)) = mult(c, mult(a, mult(b, a)))),
% 6.72/6.88 inference(unit_resolution,[status(thm)],[4526, 17622])).
% 6.72/6.88 tff(17624,assumption,(mult(mult(mult(b, a), mult(a, c)), mult(a, b)) = mult(mult(b, a), mult(mult(a, c), mult(a, b)))), introduced(assumption)).
% 6.72/6.88 tff(17625,plain,
% 6.72/6.88 (mult(mult(b, a), mult(mult(a, c), mult(a, b))) = mult(mult(mult(b, a), mult(a, c)), mult(a, b))),
% 6.72/6.88 inference(symmetry,[status(thm)],[17624])).
% 6.72/6.88 tff(17626,plain,
% 6.72/6.88 (mult(mult(b, a), mult(a, mult(c, mult(a, b)))) = mult(mult(b, a), mult(mult(mult(a, b), a), c))),
% 6.72/6.88 inference(transitivity,[status(thm)],[17608, 17625, 11390, 4201, 4198, 11395, 11252])).
% 6.72/6.88 tff(17627,plain,
% 6.72/6.88 (ld(mult(b, a), mult(mult(b, a), mult(a, mult(c, mult(a, b))))) = ld(mult(b, a), mult(mult(b, a), mult(mult(mult(a, b), a), c)))),
% 6.72/6.88 inference(monotonicity,[status(thm)],[17626])).
% 6.72/6.88 tff(17628,plain,
% 6.72/6.88 (ld(mult(b, a), mult(mult(b, a), mult(mult(mult(a, b), a), c))) = ld(mult(b, a), mult(mult(b, a), mult(a, mult(c, mult(a, b)))))),
% 6.72/6.88 inference(symmetry,[status(thm)],[17627])).
% 6.72/6.88 tff(17629,plain,
% 6.72/6.88 (mult(mult(mult(a, b), a), c) = mult(a, mult(c, mult(a, b)))),
% 6.72/6.88 inference(transitivity,[status(thm)],[16397, 17628, 16557])).
% 6.72/6.88 tff(17630,plain,
% 6.72/6.88 (mult(mult(mult(mult(a, b), a), c), a) = mult(mult(a, mult(c, mult(a, b))), a)),
% 6.72/6.88 inference(monotonicity,[status(thm)],[17629])).
% 6.72/6.88 tff(17631,plain,
% 6.72/6.88 (mult(mult(a, mult(c, mult(a, b))), a) = mult(mult(mult(mult(a, b), a), c), a)),
% 6.72/6.88 inference(symmetry,[status(thm)],[17630])).
% 6.72/6.88 tff(17632,plain,
% 6.72/6.88 (mult(a, mult(c, mult(mult(a, b), a))) = mult(a, mult(mult(b, a), mult(a, c)))),
% 6.72/6.88 inference(transitivity,[status(thm)],[11035, 17615, 16828, 17631, 11096, 16958, 11016, 11249])).
% 6.72/6.88 tff(17633,plain,
% 6.72/6.88 (ld(a, mult(a, mult(c, mult(mult(a, b), a)))) = ld(a, mult(a, mult(mult(b, a), mult(a, c))))),
% 6.72/6.88 inference(monotonicity,[status(thm)],[17632])).
% 6.72/6.88 tff(17634,plain,
% 6.72/6.88 (mult(mult(mult(c, a), b), a) = mult(mult(b, a), mult(a, c))),
% 6.72/6.88 inference(transitivity,[status(thm)],[2807, 13624, 17633, 12181])).
% 6.72/6.88 tff(17635,plain,
% 6.72/6.88 (mult(mult(b, a), mult(mult(mult(c, a), b), a)) = mult(mult(b, a), mult(mult(b, a), mult(a, c)))),
% 6.72/6.88 inference(monotonicity,[status(thm)],[17634])).
% 6.72/6.88 tff(17636,plain,
% 6.72/6.88 (mult(mult(mult(b, a), mult(c, a)), mult(b, a)) = mult(mult(mult(b, a), mult(a, c)), mult(b, a))),
% 6.72/6.88 inference(transitivity,[status(thm)],[16897, 16896, 17635, 8736])).
% 6.72/6.88 tff(17637,plain,
% 6.72/6.88 (rd(mult(mult(mult(b, a), mult(c, a)), mult(b, a)), mult(b, a)) = rd(mult(mult(mult(b, a), mult(a, c)), mult(b, a)), mult(b, a))),
% 6.72/6.88 inference(monotonicity,[status(thm)],[17636])).
% 6.72/6.88 tff(17638,plain,
% 6.72/6.88 (rd(mult(mult(mult(b, a), mult(a, c)), mult(b, a)), mult(b, a)) = rd(mult(mult(mult(b, a), mult(c, a)), mult(b, a)), mult(b, a))),
% 6.72/6.88 inference(symmetry,[status(thm)],[17637])).
% 6.72/6.88 tff(17639,plain,
% 6.72/6.88 (mult(mult(mult(b, a), c), a) = mult(mult(b, a), mult(c, a))),
% 6.72/6.88 inference(transitivity,[status(thm)],[3530, 16358, 17638, 16344])).
% 6.72/6.88 tff(17640,plain,
% 6.72/6.88 ($false),
% 6.72/6.88 inference(unit_resolution,[status(thm)],[14297, 17639])).
% 6.72/6.88 tff(17641,plain,((~(mult(mult(mult(b, a), mult(c, a)), mult(b, a)) = mult(mult(b, a), mult(mult(c, a), mult(b, a))))) | (mult(mult(mult(b, a), c), a) = mult(mult(b, a), mult(c, a))) | (~(mult(mult(mult(b, a), mult(a, c)), mult(b, a)) = mult(mult(b, a), mult(mult(b, a), mult(a, c))))) | (~(mult(mult(a, mult(b, a)), mult(a, c)) = mult(a, mult(mult(b, a), mult(a, c))))) | (~(mult(mult(mult(a, c), mult(a, b)), a) = mult(mult(a, c), mult(mult(a, b), a)))) | (~(mult(mult(a, c), mult(mult(a, b), a)) = mult(a, mult(c, mult(mult(a, b), a))))) | (~(mult(mult(mult(b, a), mult(a, c)), mult(a, b)) = mult(mult(b, a), mult(mult(a, c), mult(a, b))))) | (~(mult(mult(mult(mult(b, a), mult(a, c)), b), a) = mult(mult(mult(b, a), mult(a, c)), mult(a, b)))) | (~(mult(mult(mult(b, a), c), mult(mult(a, b), a)) = mult(mult(b, a), mult(mult(mult(a, b), a), c)))) | (~(mult(mult(c, a), mult(b, a)) = mult(c, mult(a, mult(b, a)))))), inference(lemma,lemma(discharge,[]))).
% 6.72/6.88 tff(17642,plain,
% 6.72/6.88 (~(mult(mult(mult(b, a), mult(c, a)), mult(b, a)) = mult(mult(b, a), mult(mult(c, a), mult(b, a))))),
% 6.72/6.88 inference(unit_resolution,[status(thm)],[17641, 17606, 8734, 11249, 1533, 10783, 15126, 11888, 11252, 17623])).
% 6.72/6.88 tff(17643,plain,
% 6.72/6.88 ((~(mult(mult(mult(b, a), mult(c, a)), mult(b, a)) = mult(mult(b, a), mult(mult(c, a), mult(b, a))))) | (~(mult(mult(mult(b, a), mult(b, a)), mult(c, a)) = mult(mult(b, a), mult(mult(b, a), mult(c, a)))))),
% 6.72/6.88 inference(unit_resolution,[status(thm)],[16379, 17642])).
% 6.72/6.88 tff(17644,plain,
% 6.72/6.88 (~((~(mult(mult(mult(b, a), mult(b, a)), mult(c, a)) = mult(mult(b, a), mult(mult(c, a), mult(b, a))))) | (~(mult(mult(mult(b, a), mult(c, a)), mult(b, a)) = mult(mult(b, a), mult(mult(b, a), mult(c, a))))))),
% 6.72/6.88 inference(unit_resolution,[status(thm)],[16387, 17643])).
% 6.72/6.88 tff(17645,plain,
% 6.72/6.88 (mult(mult(mult(b, a), mult(c, a)), mult(b, a)) = mult(mult(b, a), mult(mult(b, a), mult(c, a)))),
% 6.72/6.88 inference(unit_resolution,[status(thm)],[8008, 17644])).
% 6.72/6.88 tff(17646,plain,
% 6.72/6.88 (~(mult(mult(mult(b, a), c), mult(mult(b, a), a)) = mult(mult(b, a), mult(mult(mult(b, a), a), c)))),
% 6.72/6.88 inference(unit_resolution,[status(thm)],[17233, 17645, 17222, 15126])).
% 6.72/6.88 tff(17647,plain,
% 6.72/6.88 ((~(mult(mult(mult(b, a), mult(mult(b, a), a)), c) = mult(mult(b, a), mult(c, mult(mult(b, a), a))))) | (~(mult(mult(mult(b, a), c), mult(mult(b, a), a)) = mult(mult(b, a), mult(mult(mult(b, a), a), c))))),
% 6.72/6.88 inference(unit_resolution,[status(thm)],[17016, 17646])).
% 6.72/6.88 tff(17648,plain,
% 6.72/6.88 (~((~(mult(mult(mult(b, a), mult(mult(b, a), a)), c) = mult(mult(b, a), mult(mult(mult(b, a), a), c)))) | (~(mult(mult(mult(b, a), c), mult(mult(b, a), a)) = mult(mult(b, a), mult(c, mult(mult(b, a), a))))))),
% 6.72/6.88 inference(unit_resolution,[status(thm)],[17014, 17647])).
% 6.72/6.88 tff(17649,plain,
% 6.72/6.88 (mult(mult(mult(b, a), c), mult(mult(b, a), a)) = mult(mult(b, a), mult(c, mult(mult(b, a), a)))),
% 6.72/6.88 inference(unit_resolution,[status(thm)],[17009, 17648])).
% 6.72/6.88 tff(17650,plain,
% 6.72/6.88 (mult(mult(b, a), mult(c, mult(mult(b, a), a))) = mult(mult(mult(b, a), c), mult(mult(b, a), a))),
% 6.72/6.88 inference(symmetry,[status(thm)],[17649])).
% 6.72/6.88 tff(17651,plain,
% 6.72/6.88 (mult(mult(b, a), mult(c, mult(mult(b, a), a))) = mult(mult(b, a), mult(mult(b, a), mult(a, c)))),
% 6.72/6.88 inference(transitivity,[status(thm)],[17650, 16993, 17619, 3534, 8734])).
% 6.72/6.88 tff(17652,plain,
% 6.72/6.88 (ld(mult(b, a), mult(mult(b, a), mult(c, mult(mult(b, a), a)))) = ld(mult(b, a), mult(mult(b, a), mult(mult(b, a), mult(a, c))))),
% 6.72/6.88 inference(monotonicity,[status(thm)],[17651])).
% 6.72/6.88 tff(17653,plain,
% 6.72/6.88 ((~![B: $i, A: $i] : (ld(A, mult(A, B)) = B)) | (ld(mult(b, a), mult(mult(b, a), mult(c, mult(mult(b, a), a)))) = mult(c, mult(mult(b, a), a)))),
% 6.72/6.88 inference(quant_inst,[status(thm)],[])).
% 6.72/6.88 tff(17654,plain,
% 6.72/6.88 (ld(mult(b, a), mult(mult(b, a), mult(c, mult(mult(b, a), a)))) = mult(c, mult(mult(b, a), a))),
% 6.72/6.88 inference(unit_resolution,[status(thm)],[17653, 9])).
% 6.72/6.88 tff(17655,plain,
% 6.72/6.88 (mult(c, mult(mult(b, a), a)) = ld(mult(b, a), mult(mult(b, a), mult(c, mult(mult(b, a), a))))),
% 6.72/6.88 inference(symmetry,[status(thm)],[17654])).
% 6.72/6.88 tff(17656,plain,
% 6.72/6.88 (mult(mult(c, mult(b, a)), a) = mult(c, mult(mult(b, a), a))),
% 6.72/6.88 inference(unit_resolution,[status(thm)],[7591, 17622])).
% 6.72/6.88 tff(17657,plain,
% 6.72/6.88 (mult(mult(c, mult(b, a)), a) = mult(c, mult(a, mult(b, a)))),
% 6.72/6.88 inference(transitivity,[status(thm)],[17656, 17655, 17652, 11251, 12189, 17618, 12147, 17592])).
% 6.72/6.89 tff(17658,plain,
% 6.72/6.89 ($false),
% 6.72/6.89 inference(unit_resolution,[status(thm)],[17620, 17657])).
% 6.72/6.89 tff(17659,plain,((mult(mult(mult(mult(b, a), mult(a, c)), b), a) = mult(mult(mult(b, a), mult(a, c)), mult(b, a))) | (mult(mult(c, mult(b, a)), a) = mult(c, mult(a, mult(b, a)))) | (~(mult(mult(a, mult(b, a)), mult(a, c)) = mult(a, mult(mult(b, a), mult(a, c))))) | (~(mult(mult(mult(a, c), mult(a, b)), a) = mult(mult(a, c), mult(mult(a, b), a)))) | (~(mult(mult(a, c), mult(mult(a, b), a)) = mult(a, mult(c, mult(mult(a, b), a))))) | (~(mult(mult(mult(b, a), c), mult(mult(a, b), a)) = mult(mult(b, a), mult(mult(mult(a, b), a), c)))) | (~(mult(mult(mult(b, a), mult(a, c)), mult(b, a)) = mult(mult(b, a), mult(mult(b, a), mult(a, c))))) | (mult(mult(mult(a, b), a), c) = mult(mult(a, b), mult(a, c))) | (~(mult(mult(mult(a, b), c), a) = mult(mult(a, b), mult(a, c))))), inference(lemma,lemma(discharge,[]))).
% 6.72/6.89 tff(17660,plain,
% 6.72/6.89 (mult(mult(mult(mult(b, a), mult(a, c)), b), a) = mult(mult(mult(b, a), mult(a, c)), mult(b, a))),
% 6.72/6.89 inference(unit_resolution,[status(thm)],[17659, 8734, 17124, 16829, 16336, 17591, 15821, 15808, 15801])).
% 6.72/6.89 tff(17661,plain,
% 6.72/6.89 (mult(mult(mult(b, mult(c, a)), a), mult(b, a)) = mult(mult(b, mult(c, a)), mult(a, mult(b, a)))),
% 6.72/6.89 inference(modus_ponens,[status(thm)],[17660, 4204])).
% 6.72/6.89 tff(17662,plain,
% 6.72/6.89 (mult(mult(a, mult(mult(a, b), a)), c) = mult(a, mult(mult(mult(a, b), a), c))),
% 6.72/6.89 inference(unit_resolution,[status(thm)],[10858, 16336])).
% 6.72/6.89 tff(17663,plain,
% 6.72/6.89 (mult(mult(mult(mult(a, a), c), a), b) = mult(mult(mult(a, a), c), mult(a, b))),
% 6.72/6.89 inference(unit_resolution,[status(thm)],[16594, 17122])).
% 6.72/6.89 tff(17664,assumption,(~(mult(mult(mult(mult(b, a), mult(a, c)), b), a) = mult(mult(mult(b, a), mult(a, c)), mult(a, b)))), introduced(assumption)).
% 6.72/6.89 tff(17665,plain,
% 6.72/6.89 (ld(mult(b, a), mult(mult(b, a), mult(mult(b, a), mult(a, c)))) = ld(mult(b, a), mult(mult(b, a), mult(mult(mult(a, b), a), c)))),
% 6.72/6.89 inference(symmetry,[status(thm)],[13164])).
% 6.72/6.89 tff(17666,plain,
% 6.72/6.89 (mult(mult(b, a), mult(a, c)) = mult(mult(mult(a, b), a), c)),
% 6.72/6.89 inference(transitivity,[status(thm)],[11270, 17665, 11243])).
% 6.72/6.89 tff(17667,plain,
% 6.72/6.89 (mult(mult(mult(b, a), mult(a, c)), a) = mult(mult(mult(mult(a, b), a), c), a)),
% 6.72/6.89 inference(monotonicity,[status(thm)],[17666])).
% 6.72/6.89 tff(17668,plain,
% 6.72/6.89 (mult(b, mult(mult(a, mult(a, c)), a)) = mult(mult(mult(mult(a, b), a), c), a)),
% 6.72/6.89 inference(transitivity,[status(thm)],[10950, 17667])).
% 6.72/6.89 tff(17669,plain,
% 6.72/6.89 (mult(b, mult(b, mult(mult(a, mult(a, c)), a))) = mult(b, mult(mult(mult(mult(a, b), a), c), a))),
% 6.72/6.89 inference(monotonicity,[status(thm)],[17668])).
% 6.72/6.89 tff(17670,plain,
% 6.72/6.89 (mult(b, mult(b, mult(mult(a, mult(a, c)), a))) = mult(b, mult(mult(a, b), mult(mult(a, c), a)))),
% 6.72/6.89 inference(transitivity,[status(thm)],[17669, 11534])).
% 6.72/6.89 tff(17671,plain,
% 6.72/6.89 (mult(mult(b, mult(mult(a, mult(a, c)), a)), b) = mult(mult(b, mult(mult(a, c), a)), mult(a, b))),
% 6.72/6.89 inference(transitivity,[status(thm)],[10951, 15021, 11595])).
% 6.72/6.89 tff(17672,plain,
% 6.72/6.89 ((mult(mult(b, mult(mult(a, mult(a, c)), a)), b) = mult(b, mult(b, mult(mult(a, mult(a, c)), a)))) <=> (mult(mult(b, mult(mult(a, c), a)), mult(a, b)) = mult(b, mult(mult(a, b), mult(mult(a, c), a))))),
% 6.72/6.89 inference(monotonicity,[status(thm)],[17671, 17670])).
% 6.72/6.89 tff(17673,plain,
% 6.72/6.89 ((mult(mult(b, mult(mult(a, c), a)), mult(a, b)) = mult(b, mult(mult(a, b), mult(mult(a, c), a)))) <=> (mult(mult(b, mult(mult(a, mult(a, c)), a)), b) = mult(b, mult(b, mult(mult(a, mult(a, c)), a))))),
% 6.72/6.89 inference(symmetry,[status(thm)],[17672])).
% 6.72/6.89 tff(17674,plain,
% 6.72/6.89 (mult(mult(b, a), mult(mult(mult(a, b), a), c)) = mult(b, mult(mult(mult(mult(a, b), a), c), a))),
% 6.72/6.89 inference(unit_resolution,[status(thm)],[13195, 11252, 12437, 10896, 11249, 11017, 7850, 8734])).
% 6.72/6.89 tff(17675,plain,
% 6.72/6.89 (mult(b, mult(mult(mult(mult(a, b), a), c), a)) = mult(mult(b, a), mult(mult(mult(a, b), a), c))),
% 6.72/6.89 inference(symmetry,[status(thm)],[17674])).
% 6.72/6.89 tff(17676,plain,
% 6.72/6.89 (mult(b, mult(mult(a, b), mult(mult(a, c), a))) = mult(mult(mult(mult(b, a), mult(a, c)), b), a)),
% 6.72/6.89 inference(transitivity,[status(thm)],[11533, 17675, 11253, 11155, 7884, 11388])).
% 6.72/6.89 tff(17677,plain,
% 6.72/6.89 ((mult(mult(b, mult(mult(a, c), a)), mult(a, b)) = mult(b, mult(mult(a, b), mult(mult(a, c), a)))) <=> (mult(mult(mult(b, a), mult(a, c)), mult(a, b)) = mult(mult(mult(mult(b, a), mult(a, c)), b), a))),
% 6.72/6.89 inference(monotonicity,[status(thm)],[11585, 17676])).
% 6.72/6.89 tff(17678,plain,
% 6.72/6.89 ((mult(mult(b, mult(mult(a, c), a)), mult(a, b)) = mult(b, mult(mult(a, b), mult(mult(a, c), a)))) <=> (mult(mult(mult(mult(b, a), mult(a, c)), b), a) = mult(mult(mult(b, a), mult(a, c)), mult(a, b)))),
% 6.72/6.89 inference(transitivity,[status(thm)],[17677, 11838])).
% 6.72/6.89 tff(17679,plain,
% 6.72/6.89 ((mult(mult(mult(mult(b, a), mult(a, c)), b), a) = mult(mult(mult(b, a), mult(a, c)), mult(a, b))) <=> (mult(mult(b, mult(mult(a, c), a)), mult(a, b)) = mult(b, mult(mult(a, b), mult(mult(a, c), a))))),
% 6.72/6.89 inference(symmetry,[status(thm)],[17678])).
% 6.72/6.89 tff(17680,plain,
% 6.72/6.89 ((mult(mult(mult(mult(b, a), mult(a, c)), b), a) = mult(mult(mult(b, a), mult(a, c)), mult(a, b))) <=> (mult(mult(b, mult(mult(a, mult(a, c)), a)), b) = mult(b, mult(b, mult(mult(a, mult(a, c)), a))))),
% 6.72/6.89 inference(transitivity,[status(thm)],[17679, 17673])).
% 6.72/6.89 tff(17681,plain,
% 6.72/6.89 ((~(mult(mult(mult(mult(b, a), mult(a, c)), b), a) = mult(mult(mult(b, a), mult(a, c)), mult(a, b)))) <=> (~(mult(mult(b, mult(mult(a, mult(a, c)), a)), b) = mult(b, mult(b, mult(mult(a, mult(a, c)), a)))))),
% 6.72/6.89 inference(monotonicity,[status(thm)],[17680])).
% 6.72/6.89 tff(17682,plain,
% 6.72/6.89 (~(mult(mult(b, mult(mult(a, mult(a, c)), a)), b) = mult(b, mult(b, mult(mult(a, mult(a, c)), a))))),
% 6.72/6.89 inference(modus_ponens,[status(thm)],[17664, 17681])).
% 6.72/6.89 tff(17683,plain,
% 6.72/6.89 ((~(mult(mult(b, b), mult(mult(a, mult(a, c)), a)) = mult(b, mult(mult(mult(a, mult(a, c)), a), b)))) | (~(mult(mult(b, mult(mult(a, mult(a, c)), a)), b) = mult(b, mult(b, mult(mult(a, mult(a, c)), a)))))),
% 6.72/6.89 inference(unit_resolution,[status(thm)],[16547, 17682])).
% 6.72/6.89 tff(17684,plain,
% 6.72/6.89 (~((~(mult(mult(b, b), mult(mult(a, mult(a, c)), a)) = mult(b, mult(b, mult(mult(a, mult(a, c)), a))))) | (~(mult(mult(b, mult(mult(a, mult(a, c)), a)), b) = mult(b, mult(mult(mult(a, mult(a, c)), a), b)))))),
% 6.72/6.89 inference(unit_resolution,[status(thm)],[16552, 17683])).
% 6.72/6.89 tff(17685,plain,
% 6.72/6.89 (mult(mult(b, mult(mult(a, mult(a, c)), a)), b) = mult(b, mult(mult(mult(a, mult(a, c)), a), b))),
% 6.72/6.89 inference(unit_resolution,[status(thm)],[16554, 17684])).
% 6.72/6.89 tff(17686,plain,
% 6.72/6.89 ((~(mult(mult(mult(mult(b, a), mult(a, c)), b), a) = mult(mult(mult(b, a), mult(a, c)), mult(a, b)))) <=> (~(mult(mult(b, mult(mult(a, c), a)), mult(a, b)) = mult(b, mult(mult(a, b), mult(mult(a, c), a)))))),
% 6.72/6.89 inference(monotonicity,[status(thm)],[17679])).
% 6.72/6.89 tff(17687,plain,
% 6.72/6.89 (~(mult(mult(b, mult(mult(a, c), a)), mult(a, b)) = mult(b, mult(mult(a, b), mult(mult(a, c), a))))),
% 6.72/6.89 inference(modus_ponens,[status(thm)],[17664, 17686])).
% 6.72/6.89 tff(17688,plain,
% 6.72/6.89 ((~(mult(mult(b, mult(a, b)), mult(mult(a, c), a)) = mult(b, mult(mult(mult(a, c), a), mult(a, b))))) | (~(mult(mult(b, mult(mult(a, c), a)), mult(a, b)) = mult(b, mult(mult(a, b), mult(mult(a, c), a)))))),
% 6.72/6.89 inference(unit_resolution,[status(thm)],[11530, 17687])).
% 6.72/6.89 tff(17689,plain,
% 6.72/6.89 (~((~(mult(mult(b, mult(a, b)), mult(mult(a, c), a)) = mult(b, mult(mult(a, b), mult(mult(a, c), a))))) | (~(mult(mult(b, mult(mult(a, c), a)), mult(a, b)) = mult(b, mult(mult(mult(a, c), a), mult(a, b))))))),
% 6.72/6.89 inference(unit_resolution,[status(thm)],[11528, 17688])).
% 6.72/6.89 tff(17690,plain,
% 6.72/6.89 (mult(mult(b, mult(mult(a, c), a)), mult(a, b)) = mult(b, mult(mult(mult(a, c), a), mult(a, b)))),
% 6.72/6.89 inference(unit_resolution,[status(thm)],[11520, 17689])).
% 6.72/6.89 tff(17691,plain,
% 6.72/6.89 (mult(b, mult(mult(mult(a, c), a), mult(a, b))) = mult(mult(b, mult(mult(a, c), a)), mult(a, b))),
% 6.72/6.89 inference(symmetry,[status(thm)],[17690])).
% 6.72/6.89 tff(17692,plain,
% 6.72/6.89 (mult(b, mult(mult(a, c), mult(a, mult(a, b)))) = mult(b, mult(mult(a, mult(a, c)), mult(a, b)))),
% 6.72/6.89 inference(transitivity,[status(thm)],[17572, 17691, 11585, 15022, 12692, 17685, 17571])).
% 6.72/6.89 tff(17693,plain,
% 6.72/6.89 (ld(b, mult(b, mult(mult(a, c), mult(a, mult(a, b))))) = ld(b, mult(b, mult(mult(a, mult(a, c)), mult(a, b))))),
% 6.72/6.89 inference(monotonicity,[status(thm)],[17692])).
% 6.72/6.89 tff(17694,plain,
% 6.72/6.89 (mult(mult(mult(a, c), a), mult(a, b)) = mult(mult(a, mult(a, c)), mult(a, b))),
% 6.72/6.89 inference(transitivity,[status(thm)],[16110, 16846, 17693, 17565])).
% 6.72/6.89 tff(17695,plain,
% 6.72/6.89 (rd(mult(mult(mult(a, c), a), mult(a, b)), mult(a, b)) = rd(mult(mult(a, mult(a, c)), mult(a, b)), mult(a, b))),
% 6.72/6.89 inference(monotonicity,[status(thm)],[17694])).
% 6.72/6.89 tff(17696,plain,
% 6.72/6.89 (rd(mult(mult(a, mult(a, c)), mult(a, b)), mult(a, b)) = rd(mult(mult(mult(a, c), a), mult(a, b)), mult(a, b))),
% 6.72/6.89 inference(symmetry,[status(thm)],[17695])).
% 6.72/6.89 tff(17697,plain,
% 6.72/6.89 (mult(a, mult(a, c)) = mult(mult(a, c), a)),
% 6.72/6.89 inference(transitivity,[status(thm)],[16202, 17696, 16190])).
% 6.72/6.89 tff(17698,plain,
% 6.72/6.89 (mult(a, mult(a, mult(a, c))) = mult(a, mult(mult(a, c), a))),
% 6.72/6.89 inference(monotonicity,[status(thm)],[17697])).
% 6.72/6.89 tff(17699,plain,
% 6.72/6.89 (mult(a, mult(mult(a, c), a)) = mult(a, mult(a, mult(a, c)))),
% 6.72/6.89 inference(symmetry,[status(thm)],[17698])).
% 6.72/6.89 tff(17700,plain,
% 6.72/6.89 (mult(mult(a, mult(a, c)), a) = mult(a, mult(a, mult(a, c)))),
% 6.72/6.89 inference(transitivity,[status(thm)],[16564, 17699])).
% 6.72/6.89 tff(17701,plain,
% 6.72/6.89 ($false),
% 6.72/6.89 inference(unit_resolution,[status(thm)],[16188, 17700])).
% 6.72/6.89 tff(17702,plain,((~(mult(mult(mult(b, a), c), mult(mult(a, b), a)) = mult(mult(b, a), mult(mult(mult(a, b), a), c)))) | (mult(mult(a, mult(a, c)), a) = mult(a, mult(a, mult(a, c)))) | (~(mult(mult(mult(a, c), a), mult(a, b)) = mult(mult(a, c), mult(a, mult(a, b))))) | (~(mult(mult(mult(mult(b, a), mult(a, c)), a), b) = mult(mult(mult(b, a), mult(a, c)), mult(a, b)))) | (~(mult(mult(mult(mult(a, a), c), a), b) = mult(mult(mult(a, a), c), mult(a, b)))) | (~(mult(mult(a, mult(a, c)), b) = mult(a, mult(mult(a, c), b)))) | (~(mult(mult(mult(a, a), c), b) = mult(mult(a, a), mult(c, b)))) | (mult(mult(mult(mult(b, a), mult(a, c)), b), a) = mult(mult(mult(b, a), mult(a, c)), mult(a, b))) | (~(mult(mult(mult(mult(b, a), mult(a, c)), b), a) = mult(mult(mult(b, a), mult(a, c)), mult(b, a)))) | (~(mult(mult(mult(b, a), mult(a, c)), mult(b, a)) = mult(mult(b, a), mult(mult(b, a), mult(a, c))))) | (~(mult(mult(mult(mult(a, a), b), a), c) = mult(mult(mult(a, a), b), mult(c, a)))) | (~(mult(mult(a, mult(mult(a, b), a)), c) = mult(a, mult(mult(mult(a, b), a), c)))) | (~(mult(mult(a, mult(b, a)), mult(a, c)) = mult(a, mult(mult(b, a), mult(a, c))))) | (~(mult(mult(mult(a, b), a), mult(a, c)) = mult(mult(a, b), mult(mult(a, c), a))))), inference(lemma,lemma(discharge,[]))).
% 6.72/6.89 tff(17703,plain,
% 6.72/6.89 (~(mult(mult(mult(mult(b, a), mult(a, c)), a), b) = mult(mult(mult(b, a), mult(a, c)), mult(a, b)))),
% 6.72/6.89 inference(unit_resolution,[status(thm)],[17702, 17664, 16004, 11252, 16110, 914, 789, 8734, 7850, 17475, 12437, 10896, 11249, 16188])).
% 6.72/6.89 tff(17704,plain,
% 6.72/6.89 ((~(mult(mult(mult(mult(b, a), mult(a, c)), b), a) = mult(mult(mult(b, a), mult(a, c)), mult(a, b)))) | (~(mult(mult(mult(mult(b, a), mult(a, c)), a), b) = mult(mult(mult(b, a), mult(a, c)), mult(b, a))))),
% 6.72/6.89 inference(unit_resolution,[status(thm)],[7881, 17664])).
% 6.72/6.89 tff(17705,plain,
% 6.72/6.89 (~((~(mult(mult(mult(mult(b, a), mult(a, c)), a), b) = mult(mult(mult(b, a), mult(a, c)), mult(a, b)))) | (~(mult(mult(mult(mult(b, a), mult(a, c)), b), a) = mult(mult(mult(b, a), mult(a, c)), mult(b, a)))))),
% 6.72/6.89 inference(unit_resolution,[status(thm)],[7879, 17704])).
% 6.72/6.89 tff(17706,plain,
% 6.72/6.89 ($false),
% 6.72/6.89 inference(unit_resolution,[status(thm)],[8397, 17705, 17703])).
% 6.72/6.89 tff(17707,plain,((mult(mult(mult(mult(b, a), mult(a, c)), b), a) = mult(mult(mult(b, a), mult(a, c)), mult(a, b))) | (~(mult(mult(mult(b, a), c), mult(mult(a, b), a)) = mult(mult(b, a), mult(mult(mult(a, b), a), c)))) | (~(mult(mult(mult(a, c), a), mult(a, b)) = mult(mult(a, c), mult(a, mult(a, b))))) | (~(mult(mult(a, mult(a, c)), b) = mult(a, mult(mult(a, c), b)))) | (~(mult(mult(mult(a, a), c), b) = mult(mult(a, a), mult(c, b)))) | (~(mult(mult(mult(b, a), mult(a, c)), mult(b, a)) = mult(mult(b, a), mult(mult(b, a), mult(a, c))))) | (~(mult(mult(mult(mult(b, a), mult(a, c)), b), a) = mult(mult(mult(b, a), mult(a, c)), mult(b, a)))) | (~(mult(mult(mult(mult(a, a), c), a), b) = mult(mult(mult(a, a), c), mult(a, b)))) | (~(mult(mult(mult(mult(a, a), b), a), c) = mult(mult(mult(a, a), b), mult(c, a)))) | (~(mult(mult(a, mult(mult(a, b), a)), c) = mult(a, mult(mult(mult(a, b), a), c)))) | (~(mult(mult(a, mult(b, a)), mult(a, c)) = mult(a, mult(mult(b, a), mult(a, c))))) | (mult(mult(a, mult(a, c)), a) = mult(a, mult(a, mult(a, c))))), inference(lemma,lemma(discharge,[]))).
% 6.72/6.89 tff(17708,plain,
% 6.72/6.89 (mult(mult(mult(mult(b, a), mult(a, c)), b), a) = mult(mult(mult(b, a), mult(a, c)), mult(a, b))),
% 6.72/6.89 inference(unit_resolution,[status(thm)],[17707, 8734, 16839, 16053, 16054, 17591, 17660, 17663, 16335, 17662, 17124, 16076])).
% 6.72/6.89 tff(17709,plain,
% 6.72/6.89 (mult(mult(mult(b, a), mult(a, c)), mult(b, a)) = mult(mult(mult(b, mult(c, a)), a), mult(b, a))),
% 6.72/6.89 inference(monotonicity,[status(thm)],[13948])).
% 6.72/6.89 tff(17710,plain,
% 6.72/6.89 (mult(mult(mult(b, mult(c, a)), a), mult(b, a)) = mult(mult(mult(b, a), mult(a, c)), mult(b, a))),
% 6.72/6.89 inference(symmetry,[status(thm)],[17709])).
% 6.72/6.89 tff(17711,plain,
% 6.72/6.89 (mult(mult(mult(b, a), mult(a, c)), mult(a, b)) = mult(mult(mult(b, a), mult(a, c)), mult(b, a))),
% 6.72/6.89 inference(transitivity,[status(thm)],[11390, 4201, 4198, 4196, 11153, 17710])).
% 6.72/6.89 tff(17712,plain,
% 6.72/6.89 (ld(mult(mult(b, a), mult(a, c)), mult(mult(mult(b, a), mult(a, c)), mult(a, b))) = ld(mult(mult(b, a), mult(a, c)), mult(mult(mult(b, a), mult(a, c)), mult(b, a)))),
% 6.72/6.89 inference(monotonicity,[status(thm)],[17711])).
% 6.72/6.89 tff(17713,plain,
% 6.72/6.89 (mult(a, b) = mult(b, a)),
% 6.72/6.89 inference(transitivity,[status(thm)],[13255, 17712, 9068])).
% 6.72/6.89 tff(17714,plain,
% 6.72/6.89 ($false),
% 6.72/6.89 inference(unit_resolution,[status(thm)],[1, 17713])).
% 6.72/6.89 tff(17715,plain,((~(mult(mult(mult(b, mult(c, a)), a), mult(b, a)) = mult(mult(b, mult(c, a)), mult(a, mult(b, a))))) | (mult(a, b) = mult(b, a)) | (~(mult(mult(mult(mult(b, a), mult(a, c)), b), a) = mult(mult(mult(b, a), mult(a, c)), mult(a, b))))), inference(lemma,lemma(discharge,[]))).
% 6.72/6.89 tff(17716,plain,
% 6.72/6.89 (~(mult(mult(mult(b, mult(c, a)), a), mult(b, a)) = mult(mult(b, mult(c, a)), mult(a, mult(b, a))))),
% 6.72/6.89 inference(unit_resolution,[status(thm)],[17715, 17708, 1])).
% 6.72/6.89 tff(17717,plain,
% 6.72/6.89 ($false),
% 6.72/6.89 inference(unit_resolution,[status(thm)],[17716, 17661])).
% 6.72/6.89 tff(17718,plain,((~(mult(mult(mult(b, a), mult(a, c)), mult(b, a)) = mult(mult(b, a), mult(mult(b, a), mult(a, c))))) | (mult(a, b) = mult(b, a))), inference(lemma,lemma(discharge,[]))).
% 6.72/6.89 tff(17719,plain,
% 6.72/6.89 (~(mult(mult(mult(b, a), mult(a, c)), mult(b, a)) = mult(mult(b, a), mult(mult(b, a), mult(a, c))))),
% 6.72/6.89 inference(unit_resolution,[status(thm)],[17718, 1])).
% 6.72/6.89 tff(17720,plain,
% 6.72/6.89 ((~(mult(mult(mult(b, a), mult(b, a)), mult(a, c)) = mult(mult(b, a), mult(mult(a, c), mult(b, a))))) | (~(mult(mult(mult(b, a), mult(a, c)), mult(b, a)) = mult(mult(b, a), mult(mult(b, a), mult(a, c)))))),
% 6.72/6.89 inference(unit_resolution,[status(thm)],[11137, 17719])).
% 6.72/6.89 tff(17721,plain,
% 6.72/6.89 (~((~(mult(mult(mult(b, a), mult(a, c)), mult(b, a)) = mult(mult(b, a), mult(mult(a, c), mult(b, a))))) | (~(mult(mult(mult(b, a), mult(b, a)), mult(a, c)) = mult(mult(b, a), mult(mult(b, a), mult(a, c))))))),
% 6.72/6.89 inference(unit_resolution,[status(thm)],[11149, 17720])).
% 6.72/6.89 tff(17722,plain,
% 6.72/6.89 (mult(mult(a, mult(c, mult(a, b))), a) = mult(a, mult(c, mult(mult(a, b), a)))),
% 6.72/6.89 inference(transitivity,[status(thm)],[16827, 16829, 16336])).
% 6.72/6.89 tff(17723,plain,
% 6.72/6.89 (mult(b, mult(mult(a, mult(c, mult(a, b))), a)) = mult(b, mult(a, mult(c, mult(mult(a, b), a))))),
% 6.72/6.89 inference(monotonicity,[status(thm)],[17722])).
% 6.72/6.89 tff(17724,plain,
% 6.72/6.89 (mult(b, mult(a, mult(c, mult(mult(a, b), a)))) = mult(b, mult(mult(a, mult(c, mult(a, b))), a))),
% 6.72/6.89 inference(symmetry,[status(thm)],[17723])).
% 6.72/6.89 tff(17725,plain,
% 6.72/6.89 (~(mult(mult(mult(b, a), mult(a, c)), mult(a, b)) = mult(mult(b, a), mult(mult(a, b), mult(a, c))))),
% 6.72/6.89 inference(unit_resolution,[status(thm)],[17602, 11888, 17591, 15808, 15801])).
% 6.72/6.89 tff(17726,plain,
% 6.72/6.89 ((~(mult(mult(mult(b, a), mult(a, b)), mult(a, c)) = mult(mult(b, a), mult(mult(a, c), mult(a, b))))) | (~(mult(mult(mult(b, a), mult(a, c)), mult(a, b)) = mult(mult(b, a), mult(mult(a, b), mult(a, c)))))),
% 6.74/6.90 inference(unit_resolution,[status(thm)],[12503, 17725])).
% 6.74/6.90 tff(17727,plain,
% 6.74/6.90 (~((~(mult(mult(mult(b, a), mult(a, b)), mult(a, c)) = mult(mult(b, a), mult(mult(a, b), mult(a, c))))) | (~(mult(mult(mult(b, a), mult(a, c)), mult(a, b)) = mult(mult(b, a), mult(mult(a, c), mult(a, b))))))),
% 6.74/6.90 inference(unit_resolution,[status(thm)],[12507, 30, 17726])).
% 6.74/6.90 tff(17728,plain,
% 6.74/6.90 (mult(mult(mult(b, a), mult(a, c)), mult(a, b)) = mult(mult(b, a), mult(mult(a, c), mult(a, b)))),
% 6.74/6.90 inference(unit_resolution,[status(thm)],[16631, 17727])).
% 6.74/6.90 tff(17729,plain,
% 6.74/6.90 (mult(mult(b, a), mult(mult(a, c), mult(a, b))) = mult(mult(mult(b, a), mult(a, c)), mult(a, b))),
% 6.74/6.90 inference(symmetry,[status(thm)],[17728])).
% 6.74/6.90 tff(17730,plain,
% 6.74/6.90 (mult(mult(b, a), mult(a, mult(c, mult(a, b)))) = mult(mult(b, a), mult(mult(mult(a, b), a), c))),
% 6.74/6.90 inference(transitivity,[status(thm)],[17608, 17729, 17593, 4201, 4198, 11395, 17591])).
% 6.74/6.90 tff(17731,plain,
% 6.74/6.90 (ld(mult(b, a), mult(mult(b, a), mult(a, mult(c, mult(a, b))))) = ld(mult(b, a), mult(mult(b, a), mult(mult(mult(a, b), a), c)))),
% 6.74/6.90 inference(monotonicity,[status(thm)],[17730])).
% 6.74/6.90 tff(17732,plain,
% 6.74/6.90 (ld(mult(b, a), mult(mult(b, a), mult(mult(mult(a, b), a), c))) = ld(mult(b, a), mult(mult(b, a), mult(a, mult(c, mult(a, b)))))),
% 6.74/6.90 inference(symmetry,[status(thm)],[17731])).
% 6.74/6.90 tff(17733,plain,
% 6.74/6.90 (mult(mult(mult(a, b), a), c) = mult(a, mult(c, mult(a, b)))),
% 6.74/6.90 inference(transitivity,[status(thm)],[16397, 17732, 16557])).
% 6.74/6.90 tff(17734,plain,
% 6.74/6.90 (mult(mult(mult(mult(a, b), a), c), a) = mult(mult(a, mult(c, mult(a, b))), a)),
% 6.74/6.90 inference(monotonicity,[status(thm)],[17733])).
% 6.74/6.90 tff(17735,plain,
% 6.74/6.90 (mult(mult(a, mult(c, mult(a, b))), a) = mult(mult(mult(mult(a, b), a), c), a)),
% 6.74/6.90 inference(symmetry,[status(thm)],[17734])).
% 6.74/6.90 tff(17736,plain,
% 6.74/6.90 (mult(a, mult(c, mult(mult(a, b), a))) = mult(mult(mult(a, b), a), mult(a, c))),
% 6.74/6.90 inference(transitivity,[status(thm)],[16821, 16830, 16828, 17735, 11096, 16958])).
% 6.74/6.90 tff(17737,plain,
% 6.74/6.90 (mult(b, mult(a, mult(c, mult(mult(a, b), a)))) = mult(b, mult(mult(mult(a, b), a), mult(a, c)))),
% 6.74/6.90 inference(monotonicity,[status(thm)],[17736])).
% 6.74/6.90 tff(17738,plain,
% 6.74/6.90 (mult(b, mult(mult(mult(a, b), a), mult(a, c))) = mult(b, mult(a, mult(c, mult(mult(a, b), a))))),
% 6.74/6.90 inference(symmetry,[status(thm)],[17737])).
% 6.74/6.90 tff(17739,plain,
% 6.74/6.90 (mult(mult(mult(a, b), a), mult(a, c)) = mult(a, mult(mult(b, a), mult(a, c)))),
% 6.74/6.90 inference(transitivity,[status(thm)],[11016, 17124])).
% 6.74/6.90 tff(17740,plain,
% 6.74/6.90 (mult(b, mult(mult(mult(a, b), a), mult(a, c))) = mult(b, mult(a, mult(mult(b, a), mult(a, c))))),
% 6.74/6.90 inference(monotonicity,[status(thm)],[17739])).
% 6.74/6.90 tff(17741,plain,
% 6.74/6.90 (mult(b, mult(a, mult(mult(b, a), mult(a, c)))) = mult(b, mult(mult(mult(a, b), a), mult(a, c)))),
% 6.74/6.90 inference(symmetry,[status(thm)],[17740])).
% 6.74/6.90 tff(17742,plain,
% 6.74/6.90 (mult(mult(b, mult(mult(a, c), a)), mult(a, b)) = mult(b, mult(mult(mult(a, c), a), mult(a, b)))),
% 6.74/6.90 inference(unit_resolution,[status(thm)],[16793, 15347, 16042, 15801, 16336, 16052, 1, 15794, 11136, 11888, 16007])).
% 6.74/6.90 tff(17743,assumption,(mult(mult(mult(a, c), a), mult(b, a)) = mult(mult(a, c), mult(a, mult(b, a)))), introduced(assumption)).
% 6.74/6.90 tff(17744,plain,
% 6.74/6.90 (mult(mult(a, c), mult(a, mult(b, a))) = mult(mult(mult(a, c), a), mult(b, a))),
% 6.74/6.90 inference(symmetry,[status(thm)],[17743])).
% 6.74/6.90 tff(17745,plain,
% 6.74/6.90 (mult(mult(a, mult(c, mult(a, b))), a) = mult(mult(mult(a, c), mult(a, b)), a)),
% 6.74/6.90 inference(monotonicity,[status(thm)],[13260])).
% 6.74/6.90 tff(17746,plain,
% 6.74/6.90 (mult(mult(a, mult(c, mult(a, b))), a) = mult(a, mult(c, mult(mult(a, b), a)))),
% 6.74/6.90 inference(transitivity,[status(thm)],[17745, 1533, 10783])).
% 6.74/6.90 tff(17747,plain,
% 6.74/6.90 (mult(b, mult(mult(a, mult(c, mult(a, b))), a)) = mult(b, mult(a, mult(c, mult(mult(a, b), a))))),
% 6.74/6.90 inference(monotonicity,[status(thm)],[17746])).
% 6.74/6.90 tff(17748,assumption,(mult(mult(b, a), mult(a, mult(c, mult(a, b)))) = mult(b, mult(mult(a, mult(c, mult(a, b))), a))), introduced(assumption)).
% 6.74/6.90 tff(17749,plain,
% 6.74/6.90 (mult(mult(b, a), mult(a, mult(mult(c, a), b))) = mult(mult(b, a), mult(a, mult(c, mult(a, b))))),
% 6.74/6.90 inference(monotonicity,[status(thm)],[16047])).
% 6.74/6.90 tff(17750,plain,
% 6.74/6.90 (mult(mult(mult(a, c), a), mult(a, b)) = mult(mult(a, c), mult(a, mult(a, b)))),
% 6.74/6.90 inference(unit_resolution,[status(thm)],[16101, 1533])).
% 6.74/6.90 tff(17751,plain,
% 6.74/6.90 (mult(mult(a, c), mult(a, mult(a, b))) = mult(mult(mult(a, c), a), mult(a, b))),
% 6.74/6.90 inference(symmetry,[status(thm)],[17750])).
% 6.74/6.90 tff(17752,plain,
% 6.74/6.90 (mult(b, mult(mult(a, c), mult(a, mult(a, b)))) = mult(b, mult(mult(mult(a, c), a), mult(a, b)))),
% 6.74/6.90 inference(monotonicity,[status(thm)],[17751])).
% 6.74/6.90 tff(17753,plain,
% 6.74/6.90 (mult(b, mult(mult(a, c), mult(a, mult(a, b)))) = mult(b, mult(a, mult(mult(mult(c, a), b), a)))),
% 6.74/6.90 inference(transitivity,[status(thm)],[17752, 13733, 11585, 17624, 16777, 17749, 17748, 17747, 16825])).
% 6.74/6.90 tff(17754,plain,
% 6.74/6.90 (ld(b, mult(b, mult(mult(a, c), mult(a, mult(a, b))))) = ld(b, mult(b, mult(a, mult(mult(mult(c, a), b), a))))),
% 6.74/6.90 inference(monotonicity,[status(thm)],[17753])).
% 6.74/6.90 tff(17755,plain,
% 6.74/6.90 (mult(mult(mult(a, c), a), mult(a, b)) = mult(mult(mult(a, c), a), mult(b, a))),
% 6.74/6.90 inference(transitivity,[status(thm)],[17750, 16846, 17754, 16823, 11036, 11035, 10732, 17744])).
% 6.74/6.90 tff(17756,plain,
% 6.74/6.90 (ld(mult(mult(a, c), a), mult(mult(mult(a, c), a), mult(a, b))) = ld(mult(mult(a, c), a), mult(mult(mult(a, c), a), mult(b, a)))),
% 6.74/6.90 inference(monotonicity,[status(thm)],[17755])).
% 6.74/6.90 tff(17757,plain,
% 6.74/6.90 (mult(a, b) = mult(b, a)),
% 6.74/6.90 inference(transitivity,[status(thm)],[16851, 17756, 16796])).
% 6.74/6.90 tff(17758,plain,
% 6.74/6.90 ($false),
% 6.74/6.90 inference(unit_resolution,[status(thm)],[1, 17757])).
% 6.74/6.90 tff(17759,plain,((~(mult(mult(mult(b, a), mult(a, c)), mult(a, b)) = mult(mult(b, a), mult(mult(a, c), mult(a, b))))) | (mult(a, b) = mult(b, a)) | (~(mult(mult(mult(a, c), a), mult(b, a)) = mult(mult(a, c), mult(a, mult(b, a))))) | (~(mult(mult(a, c), mult(mult(a, b), a)) = mult(a, mult(c, mult(mult(a, b), a))))) | (~(mult(mult(b, mult(mult(a, c), a)), mult(a, b)) = mult(b, mult(mult(mult(a, c), a), mult(a, b))))) | (~(mult(mult(b, a), mult(a, mult(c, mult(a, b)))) = mult(b, mult(mult(a, mult(c, mult(a, b))), a)))) | (~(mult(mult(mult(a, c), mult(a, b)), a) = mult(mult(a, c), mult(mult(a, b), a))))), inference(lemma,lemma(discharge,[]))).
% 6.74/6.90 tff(17760,plain,
% 6.74/6.90 (~(mult(mult(b, a), mult(a, mult(c, mult(a, b)))) = mult(b, mult(mult(a, mult(c, mult(a, b))), a)))),
% 6.74/6.90 inference(unit_resolution,[status(thm)],[17759, 17728, 16829, 16336, 16819, 17742, 1])).
% 6.74/6.90 tff(17761,plain,
% 6.74/6.90 ((~(mult(mult(b, mult(a, mult(c, mult(a, b)))), a) = mult(b, mult(a, mult(a, mult(c, mult(a, b))))))) | (~(mult(mult(b, a), mult(a, mult(c, mult(a, b)))) = mult(b, mult(mult(a, mult(c, mult(a, b))), a))))),
% 6.74/6.90 inference(unit_resolution,[status(thm)],[16619, 17760])).
% 6.74/6.90 tff(17762,plain,
% 6.74/6.90 (~((~(mult(mult(b, mult(a, mult(c, mult(a, b)))), a) = mult(b, mult(mult(a, mult(c, mult(a, b))), a)))) | (~(mult(mult(b, a), mult(a, mult(c, mult(a, b)))) = mult(b, mult(a, mult(a, mult(c, mult(a, b))))))))),
% 6.74/6.90 inference(unit_resolution,[status(thm)],[16616, 30, 17761])).
% 6.74/6.90 tff(17763,plain,
% 6.74/6.90 (mult(mult(b, a), mult(a, mult(c, mult(a, b)))) = mult(b, mult(a, mult(a, mult(c, mult(a, b)))))),
% 6.74/6.90 inference(unit_resolution,[status(thm)],[16612, 17762])).
% 6.74/6.90 tff(17764,plain,
% 6.74/6.90 (~(mult(mult(b, mult(mult(a, mult(a, c)), a)), b) = mult(b, mult(mult(mult(a, mult(a, c)), a), b)))),
% 6.74/6.90 inference(unit_resolution,[status(thm)],[16610, 17763, 15757, 15794, 15347, 11152, 17119, 16053, 16054, 16052])).
% 6.74/6.90 tff(17765,plain,
% 6.74/6.90 ((~(mult(mult(b, b), mult(mult(a, mult(a, c)), a)) = mult(b, mult(b, mult(mult(a, mult(a, c)), a))))) | (~(mult(mult(b, mult(mult(a, mult(a, c)), a)), b) = mult(b, mult(mult(mult(a, mult(a, c)), a), b))))),
% 6.74/6.90 inference(unit_resolution,[status(thm)],[16554, 17764])).
% 6.74/6.90 tff(17766,plain,
% 6.74/6.90 (~((~(mult(mult(b, b), mult(mult(a, mult(a, c)), a)) = mult(b, mult(mult(mult(a, mult(a, c)), a), b)))) | (~(mult(mult(b, mult(mult(a, mult(a, c)), a)), b) = mult(b, mult(b, mult(mult(a, mult(a, c)), a))))))),
% 6.74/6.90 inference(unit_resolution,[status(thm)],[16552, 17765])).
% 6.74/6.90 tff(17767,plain,
% 6.74/6.90 (mult(mult(b, mult(mult(a, mult(a, c)), a)), b) = mult(b, mult(b, mult(mult(a, mult(a, c)), a)))),
% 6.74/6.90 inference(unit_resolution,[status(thm)],[16547, 17766])).
% 6.74/6.90 tff(17768,plain,
% 6.74/6.90 (mult(b, mult(b, mult(mult(a, mult(a, c)), a))) = mult(mult(b, mult(mult(a, mult(a, c)), a)), b)),
% 6.74/6.90 inference(symmetry,[status(thm)],[17767])).
% 6.74/6.90 tff(17769,plain,
% 6.74/6.90 (mult(b, mult(mult(mult(b, a), mult(a, c)), a)) = mult(mult(mult(b, a), mult(a, c)), mult(b, a))),
% 6.74/6.90 inference(transitivity,[status(thm)],[17189, 17768, 10951, 15347])).
% 6.74/6.90 tff(17770,plain,
% 6.74/6.90 ((mult(mult(b, a), mult(mult(b, a), mult(a, c))) = mult(b, mult(mult(mult(b, a), mult(a, c)), a))) <=> (mult(mult(b, a), mult(mult(b, a), mult(a, c))) = mult(mult(mult(b, a), mult(a, c)), mult(b, a)))),
% 6.74/6.90 inference(monotonicity,[status(thm)],[17769])).
% 6.74/6.90 tff(17771,plain,
% 6.74/6.90 ((mult(mult(b, a), mult(mult(b, a), mult(a, c))) = mult(b, mult(mult(mult(b, a), mult(a, c)), a))) <=> (mult(mult(mult(b, a), mult(a, c)), mult(b, a)) = mult(mult(b, a), mult(mult(b, a), mult(a, c))))),
% 6.74/6.90 inference(transitivity,[status(thm)],[17770, 11173])).
% 6.74/6.90 tff(17772,plain,
% 6.74/6.90 ((mult(mult(mult(b, a), mult(a, c)), mult(b, a)) = mult(mult(b, a), mult(mult(b, a), mult(a, c)))) <=> (mult(mult(b, a), mult(mult(b, a), mult(a, c))) = mult(b, mult(mult(mult(b, a), mult(a, c)), a)))),
% 6.74/6.90 inference(symmetry,[status(thm)],[17771])).
% 6.74/6.90 tff(17773,plain,
% 6.74/6.90 ((~(mult(mult(mult(b, a), mult(a, c)), mult(b, a)) = mult(mult(b, a), mult(mult(b, a), mult(a, c))))) <=> (~(mult(mult(b, a), mult(mult(b, a), mult(a, c))) = mult(b, mult(mult(mult(b, a), mult(a, c)), a))))),
% 6.74/6.90 inference(monotonicity,[status(thm)],[17772])).
% 6.74/6.90 tff(17774,plain,
% 6.74/6.90 (~(mult(mult(b, a), mult(mult(b, a), mult(a, c))) = mult(b, mult(mult(mult(b, a), mult(a, c)), a)))),
% 6.74/6.90 inference(modus_ponens,[status(thm)],[11136, 17773])).
% 6.74/6.90 tff(17775,plain,
% 6.74/6.90 ((~(mult(mult(b, a), mult(mult(b, a), mult(a, c))) = mult(b, mult(mult(mult(b, a), mult(a, c)), a)))) | (~(mult(mult(b, mult(mult(b, a), mult(a, c))), a) = mult(b, mult(a, mult(mult(b, a), mult(a, c))))))),
% 6.74/6.90 inference(unit_resolution,[status(thm)],[12712, 17774])).
% 6.74/6.90 tff(17776,plain,
% 6.74/6.90 (~((~(mult(mult(b, a), mult(mult(b, a), mult(a, c))) = mult(b, mult(a, mult(mult(b, a), mult(a, c)))))) | (~(mult(mult(b, mult(mult(b, a), mult(a, c))), a) = mult(b, mult(mult(mult(b, a), mult(a, c)), a)))))),
% 6.74/6.90 inference(unit_resolution,[status(thm)],[12724, 17775])).
% 6.74/6.90 tff(17777,plain,
% 6.74/6.90 (mult(mult(b, a), mult(mult(b, a), mult(a, c))) = mult(b, mult(a, mult(mult(b, a), mult(a, c))))),
% 6.74/6.90 inference(unit_resolution,[status(thm)],[12705, 17776])).
% 6.74/6.90 tff(17778,plain,
% 6.74/6.90 (mult(a, mult(c, mult(mult(a, b), a))) = mult(a, mult(mult(b, a), mult(a, c)))),
% 6.74/6.90 inference(transitivity,[status(thm)],[16821, 16830, 16828, 17735, 11096, 16958, 11016, 17124])).
% 6.74/6.90 tff(17779,plain,
% 6.74/6.90 (ld(a, mult(a, mult(c, mult(mult(a, b), a)))) = ld(a, mult(a, mult(mult(b, a), mult(a, c))))),
% 6.74/6.90 inference(monotonicity,[status(thm)],[17778])).
% 6.74/6.90 tff(17780,plain,
% 6.74/6.90 (ld(a, mult(a, mult(mult(b, a), mult(a, c)))) = ld(a, mult(a, mult(c, mult(mult(a, b), a))))),
% 6.74/6.90 inference(symmetry,[status(thm)],[17779])).
% 6.74/6.90 tff(17781,plain,
% 6.74/6.90 (mult(mult(b, a), mult(a, c)) = mult(mult(mult(c, a), b), a)),
% 6.74/6.90 inference(transitivity,[status(thm)],[12189, 17780, 12147, 2808])).
% 6.74/6.90 tff(17782,plain,
% 6.74/6.90 (mult(mult(b, a), mult(mult(b, a), mult(a, c))) = mult(mult(b, a), mult(mult(mult(c, a), b), a))),
% 6.74/6.90 inference(monotonicity,[status(thm)],[17781])).
% 6.74/6.90 tff(17783,plain,
% 6.74/6.90 (mult(mult(b, a), mult(mult(mult(c, a), b), a)) = mult(mult(b, a), mult(mult(b, a), mult(a, c)))),
% 6.74/6.90 inference(symmetry,[status(thm)],[17782])).
% 6.74/6.90 tff(17784,plain,
% 6.74/6.90 (mult(c, mult(a, mult(b, a))) = mult(mult(c, a), mult(b, a))),
% 6.74/6.90 inference(symmetry,[status(thm)],[15831])).
% 6.74/6.90 tff(17785,plain,
% 6.74/6.90 (mult(mult(mult(c, a), b), a) = mult(mult(c, a), mult(b, a))),
% 6.74/6.90 inference(transitivity,[status(thm)],[2807, 17592, 17784])).
% 6.74/6.90 tff(17786,plain,
% 6.74/6.90 (mult(mult(b, a), mult(mult(mult(c, a), b), a)) = mult(mult(b, a), mult(mult(c, a), mult(b, a)))),
% 6.74/6.90 inference(monotonicity,[status(thm)],[17785])).
% 6.74/6.90 tff(17787,plain,
% 6.74/6.90 (mult(mult(b, a), mult(mult(c, a), mult(b, a))) = mult(mult(b, a), mult(mult(mult(c, a), b), a))),
% 6.74/6.90 inference(symmetry,[status(thm)],[17786])).
% 6.74/6.90 tff(17788,plain,
% 6.74/6.90 (mult(mult(b, a), mult(mult(mult(a, b), a), c)) = mult(mult(b, a), mult(a, mult(b, mult(c, a))))),
% 6.74/6.90 inference(symmetry,[status(thm)],[16341])).
% 6.74/6.90 tff(17789,plain,
% 6.74/6.90 (mult(mult(b, a), mult(a, mult(mult(c, a), b))) = mult(mult(b, a), mult(a, mult(b, mult(c, a))))),
% 6.74/6.90 inference(transitivity,[status(thm)],[17749, 17608, 17729, 17593, 4201, 4198, 11395, 17591, 17788])).
% 6.74/6.90 tff(17790,plain,
% 6.74/6.90 (mult(a, mult(c, mult(a, b))) = ld(mult(b, a), mult(mult(b, a), mult(a, mult(c, mult(a, b)))))),
% 6.74/6.90 inference(symmetry,[status(thm)],[16557])).
% 6.74/6.90 tff(17791,plain,
% 6.74/6.90 (mult(a, mult(c, mult(a, b))) = mult(a, mult(b, mult(c, a)))),
% 6.74/6.90 inference(transitivity,[status(thm)],[17790, 17731, 16396, 9069, 15803, 13470])).
% 6.74/6.90 tff(17792,plain,
% 6.74/6.90 (ld(a, mult(a, mult(c, mult(a, b)))) = ld(a, mult(a, mult(b, mult(c, a))))),
% 6.74/6.90 inference(monotonicity,[status(thm)],[17791])).
% 6.74/6.90 tff(17793,plain,
% 6.74/6.90 (ld(a, mult(a, mult(b, mult(c, a)))) = ld(a, mult(a, mult(c, mult(a, b))))),
% 6.74/6.90 inference(symmetry,[status(thm)],[17792])).
% 6.74/6.90 tff(17794,plain,
% 6.74/6.90 (mult(mult(b, a), c) = mult(mult(c, a), b)),
% 6.74/6.90 inference(transitivity,[status(thm)],[3427, 2419, 17793, 667, 17333])).
% 6.74/6.90 tff(17795,plain,
% 6.74/6.90 (mult(mult(mult(b, a), a), mult(mult(b, a), c)) = mult(mult(mult(b, a), a), mult(mult(c, a), b))),
% 6.74/6.90 inference(monotonicity,[status(thm)],[17794])).
% 6.74/6.90 tff(17796,plain,
% 6.74/6.90 (mult(mult(mult(b, a), a), mult(mult(c, a), b)) = mult(mult(mult(b, a), a), mult(mult(b, a), c))),
% 6.74/6.90 inference(symmetry,[status(thm)],[17795])).
% 6.74/6.90 tff(17797,plain,
% 6.74/6.90 (mult(mult(mult(b, a), a), mult(mult(c, a), b)) = mult(mult(mult(b, a), a), mult(b, mult(c, a)))),
% 6.74/6.90 inference(transitivity,[status(thm)],[17796, 16927])).
% 6.74/6.90 tff(17798,plain,
% 6.74/6.90 ((mult(mult(mult(b, a), a), mult(mult(c, a), b)) = mult(mult(b, a), mult(a, mult(mult(c, a), b)))) <=> (mult(mult(mult(b, a), a), mult(b, mult(c, a))) = mult(mult(b, a), mult(a, mult(b, mult(c, a)))))),
% 6.74/6.90 inference(monotonicity,[status(thm)],[17797, 17789])).
% 6.74/6.90 tff(17799,plain,
% 6.74/6.90 ((mult(b, mult(mult(a, mult(c, mult(a, b))), a)) = mult(mult(b, a), mult(a, mult(c, mult(a, b))))) <=> (mult(mult(b, a), mult(a, mult(c, mult(a, b)))) = mult(b, mult(mult(a, mult(c, mult(a, b))), a)))),
% 6.74/6.90 inference(commutativity,[status(thm)],[])).
% 6.74/6.90 tff(17800,plain,
% 6.74/6.90 (mult(b, mult(a, mult(a, mult(c, mult(a, b))))) = mult(mult(b, a), mult(a, mult(c, mult(a, b))))),
% 6.74/6.90 inference(symmetry,[status(thm)],[17763])).
% 6.74/6.90 tff(17801,plain,
% 6.74/6.90 (((~(mult(mult(b, mult(a, mult(c, mult(a, b)))), a) = mult(b, mult(mult(a, mult(c, mult(a, b))), a)))) | (~(mult(mult(b, a), mult(a, mult(c, mult(a, b)))) = mult(b, mult(a, mult(a, mult(c, mult(a, b)))))))) | (mult(mult(b, mult(a, mult(c, mult(a, b)))), a) = mult(b, mult(mult(a, mult(c, mult(a, b))), a)))),
% 6.74/6.90 inference(tautology,[status(thm)],[])).
% 6.74/6.90 tff(17802,plain,
% 6.74/6.90 (mult(mult(b, mult(a, mult(c, mult(a, b)))), a) = mult(b, mult(mult(a, mult(c, mult(a, b))), a))),
% 6.74/6.90 inference(unit_resolution,[status(thm)],[17801, 17762])).
% 6.74/6.90 tff(17803,plain,
% 6.74/6.90 ((mult(mult(b, mult(a, mult(c, mult(a, b)))), a) = mult(b, mult(a, mult(a, mult(c, mult(a, b)))))) <=> (mult(b, mult(mult(a, mult(c, mult(a, b))), a)) = mult(mult(b, a), mult(a, mult(c, mult(a, b)))))),
% 6.74/6.90 inference(monotonicity,[status(thm)],[17802, 17800])).
% 6.74/6.90 tff(17804,plain,
% 6.74/6.90 ((mult(mult(b, mult(a, mult(c, mult(a, b)))), a) = mult(b, mult(a, mult(a, mult(c, mult(a, b)))))) <=> (mult(mult(b, a), mult(a, mult(c, mult(a, b)))) = mult(b, mult(mult(a, mult(c, mult(a, b))), a)))),
% 6.74/6.90 inference(transitivity,[status(thm)],[17803, 17799])).
% 6.74/6.90 tff(17805,plain,
% 6.74/6.90 ((mult(mult(b, a), mult(a, mult(c, mult(a, b)))) = mult(b, mult(mult(a, mult(c, mult(a, b))), a))) <=> (mult(mult(b, mult(a, mult(c, mult(a, b)))), a) = mult(b, mult(a, mult(a, mult(c, mult(a, b))))))),
% 6.74/6.90 inference(symmetry,[status(thm)],[17804])).
% 6.74/6.90 tff(17806,plain,
% 6.74/6.90 ((~(mult(mult(b, a), mult(a, mult(c, mult(a, b)))) = mult(b, mult(mult(a, mult(c, mult(a, b))), a)))) <=> (~(mult(mult(b, mult(a, mult(c, mult(a, b)))), a) = mult(b, mult(a, mult(a, mult(c, mult(a, b)))))))),
% 6.74/6.91 inference(monotonicity,[status(thm)],[17805])).
% 6.74/6.91 tff(17807,plain,
% 6.74/6.91 (~(mult(mult(b, mult(a, mult(c, mult(a, b)))), a) = mult(b, mult(a, mult(a, mult(c, mult(a, b))))))),
% 6.74/6.91 inference(modus_ponens,[status(thm)],[17760, 17806])).
% 6.74/6.91 tff(17808,assumption,(~(mult(mult(b, mult(a, mult(c, mult(a, b)))), a) = mult(b, mult(a, mult(a, mult(c, mult(a, b))))))), introduced(assumption)).
% 6.74/6.91 tff(17809,plain,
% 6.74/6.91 (((~(mult(mult(b, mult(a, mult(c, mult(a, b)))), a) = mult(b, mult(a, mult(a, mult(c, mult(a, b))))))) | (~(mult(mult(b, a), mult(a, mult(c, mult(a, b)))) = mult(b, mult(mult(a, mult(c, mult(a, b))), a))))) | (mult(mult(b, mult(a, mult(c, mult(a, b)))), a) = mult(b, mult(a, mult(a, mult(c, mult(a, b))))))),
% 6.74/6.91 inference(tautology,[status(thm)],[])).
% 6.74/6.91 tff(17810,plain,
% 6.74/6.91 ((~(mult(mult(b, mult(a, mult(c, mult(a, b)))), a) = mult(b, mult(a, mult(a, mult(c, mult(a, b))))))) | (~(mult(mult(b, a), mult(a, mult(c, mult(a, b)))) = mult(b, mult(mult(a, mult(c, mult(a, b))), a))))),
% 6.74/6.91 inference(unit_resolution,[status(thm)],[17809, 17808])).
% 6.74/6.91 tff(17811,plain,
% 6.74/6.91 (~((~(mult(mult(b, mult(a, mult(c, mult(a, b)))), a) = mult(b, mult(mult(a, mult(c, mult(a, b))), a)))) | (~(mult(mult(b, a), mult(a, mult(c, mult(a, b)))) = mult(b, mult(a, mult(a, mult(c, mult(a, b))))))))),
% 6.74/6.91 inference(unit_resolution,[status(thm)],[16617, 17810])).
% 6.74/6.91 tff(17812,plain,
% 6.74/6.91 (mult(mult(b, a), mult(a, mult(c, mult(a, b)))) = mult(b, mult(a, mult(a, mult(c, mult(a, b)))))),
% 6.74/6.91 inference(unit_resolution,[status(thm)],[16612, 17811])).
% 6.74/6.91 tff(17813,plain,
% 6.74/6.91 (mult(mult(a, mult(mult(c, a), b)), a) = mult(mult(a, mult(c, mult(a, b))), a)),
% 6.74/6.91 inference(monotonicity,[status(thm)],[2024])).
% 6.74/6.91 tff(17814,plain,
% 6.74/6.91 (mult(mult(a, mult(c, mult(a, b))), a) = mult(mult(a, mult(mult(c, a), b)), a)),
% 6.74/6.91 inference(symmetry,[status(thm)],[17813])).
% 6.74/6.91 tff(17815,plain,
% 6.74/6.91 (mult(b, mult(mult(a, mult(c, mult(a, b))), a)) = mult(b, mult(mult(a, mult(mult(c, a), b)), a))),
% 6.74/6.91 inference(monotonicity,[status(thm)],[17814])).
% 6.74/6.91 tff(17816,plain,
% 6.74/6.91 (mult(mult(b, mult(a, mult(c, mult(a, b)))), a) = mult(b, mult(mult(a, mult(c, mult(a, b))), a))),
% 6.74/6.91 inference(unit_resolution,[status(thm)],[17801, 17811])).
% 6.74/6.91 tff(17817,plain,
% 6.74/6.91 (mult(mult(b, mult(a, mult(c, mult(a, b)))), a) = mult(b, mult(a, mult(a, mult(c, mult(a, b)))))),
% 6.74/6.91 inference(transitivity,[status(thm)],[17816, 17815, 11399, 11567, 16621, 17812])).
% 6.74/6.91 tff(17818,plain,
% 6.74/6.91 ($false),
% 6.74/6.91 inference(unit_resolution,[status(thm)],[17808, 17817])).
% 6.74/6.91 tff(17819,plain,((mult(mult(b, mult(a, mult(c, mult(a, b)))), a) = mult(b, mult(a, mult(a, mult(c, mult(a, b)))))) | (~(mult(mult(mult(b, a), mult(mult(c, a), b)), a) = mult(mult(b, a), mult(a, mult(mult(c, a), b))))) | (~(mult(mult(c, a), b) = mult(c, mult(a, b))))), inference(lemma,lemma(discharge,[]))).
% 6.74/6.91 tff(17820,plain,
% 6.74/6.91 (~(mult(mult(mult(b, a), mult(mult(c, a), b)), a) = mult(mult(b, a), mult(a, mult(mult(c, a), b))))),
% 6.74/6.91 inference(unit_resolution,[status(thm)],[17819, 17807, 15733])).
% 6.74/6.91 tff(17821,plain,
% 6.74/6.91 ((~(mult(mult(mult(b, a), a), mult(mult(c, a), b)) = mult(mult(b, a), mult(mult(mult(c, a), b), a)))) | (~(mult(mult(mult(b, a), mult(mult(c, a), b)), a) = mult(mult(b, a), mult(a, mult(mult(c, a), b)))))),
% 6.74/6.91 inference(unit_resolution,[status(thm)],[11210, 17820])).
% 6.74/6.91 tff(17822,plain,
% 6.74/6.91 (~((~(mult(mult(mult(b, a), mult(mult(c, a), b)), a) = mult(mult(b, a), mult(mult(mult(c, a), b), a)))) | (~(mult(mult(mult(b, a), a), mult(mult(c, a), b)) = mult(mult(b, a), mult(a, mult(mult(c, a), b))))))),
% 6.74/6.91 inference(unit_resolution,[status(thm)],[12220, 17821])).
% 6.74/6.91 tff(17823,plain,
% 6.74/6.91 (mult(mult(mult(b, a), a), mult(mult(c, a), b)) = mult(mult(b, a), mult(a, mult(mult(c, a), b)))),
% 6.74/6.91 inference(unit_resolution,[status(thm)],[12246, 17822])).
% 6.74/6.91 tff(17824,plain,
% 6.74/6.91 (mult(mult(mult(b, a), a), mult(b, mult(c, a))) = mult(mult(b, a), mult(a, mult(b, mult(c, a))))),
% 6.74/6.91 inference(modus_ponens,[status(thm)],[17823, 17798])).
% 6.74/6.91 tff(17825,plain,
% 6.74/6.91 (~(mult(mult(mult(b, a), mult(c, a)), mult(b, a)) = mult(mult(b, a), mult(mult(b, a), mult(c, a))))),
% 6.74/6.91 inference(unit_resolution,[status(thm)],[16922, 16353, 17824, 1])).
% 6.74/6.91 tff(17826,plain,
% 6.74/6.91 ((~(mult(mult(mult(b, a), mult(b, a)), mult(c, a)) = mult(mult(b, a), mult(mult(c, a), mult(b, a))))) | (~(mult(mult(mult(b, a), mult(c, a)), mult(b, a)) = mult(mult(b, a), mult(mult(b, a), mult(c, a)))))),
% 6.74/6.91 inference(unit_resolution,[status(thm)],[8008, 17825])).
% 6.74/6.91 tff(17827,plain,
% 6.74/6.91 (~((~(mult(mult(mult(b, a), mult(c, a)), mult(b, a)) = mult(mult(b, a), mult(mult(c, a), mult(b, a))))) | (~(mult(mult(mult(b, a), mult(b, a)), mult(c, a)) = mult(mult(b, a), mult(mult(b, a), mult(c, a))))))),
% 6.74/6.91 inference(unit_resolution,[status(thm)],[16387, 17826])).
% 6.74/6.91 tff(17828,plain,
% 6.74/6.91 (mult(mult(mult(b, a), mult(c, a)), mult(b, a)) = mult(mult(b, a), mult(mult(c, a), mult(b, a)))),
% 6.74/6.91 inference(unit_resolution,[status(thm)],[16379, 17827])).
% 6.74/6.91 tff(17829,plain,
% 6.74/6.91 (mult(mult(b, a), mult(a, mult(mult(c, a), b))) = mult(mult(mult(b, a), a), mult(mult(c, a), b))),
% 6.74/6.91 inference(symmetry,[status(thm)],[17823])).
% 6.74/6.91 tff(17830,plain,
% 6.74/6.91 (mult(mult(b, a), mult(a, mult(c, mult(a, b)))) = mult(mult(b, a), mult(a, mult(mult(c, a), b)))),
% 6.74/6.91 inference(symmetry,[status(thm)],[17749])).
% 6.74/6.91 tff(17831,plain,
% 6.74/6.91 (mult(mult(b, a), mult(a, mult(c, mult(a, b)))) = mult(b, mult(mult(a, mult(c, mult(a, b))), a))),
% 6.74/6.91 inference(transitivity,[status(thm)],[17830, 17829, 17796, 16899, 17223, 17828, 17787, 17783, 17777, 17741, 17738, 17724])).
% 6.74/6.91 tff(17832,plain,
% 6.74/6.91 ($false),
% 6.74/6.91 inference(unit_resolution,[status(thm)],[17760, 17831])).
% 6.74/6.91 tff(17833,plain,((mult(mult(mult(mult(b, a), mult(a, c)), b), a) = mult(mult(mult(b, a), mult(a, c)), mult(b, a))) | (mult(a, b) = mult(b, a)) | (mult(mult(mult(mult(b, a), a), c), mult(b, a)) = mult(mult(mult(b, a), a), mult(c, mult(b, a)))) | (mult(mult(mult(b, a), mult(a, c)), mult(b, a)) = mult(mult(b, a), mult(mult(b, a), mult(a, c))))), inference(lemma,lemma(discharge,[]))).
% 6.74/6.91 tff(17834,plain,
% 6.74/6.91 (mult(mult(mult(mult(b, a), mult(a, c)), b), a) = mult(mult(mult(b, a), mult(a, c)), mult(b, a))),
% 6.74/6.91 inference(unit_resolution,[status(thm)],[17833, 11136, 16011, 1])).
% 6.74/6.91 tff(17835,plain,
% 6.74/6.91 (mult(mult(b, a), mult(mult(mult(a, b), a), c)) = mult(mult(mult(b, a), c), mult(mult(a, b), a))),
% 6.74/6.91 inference(symmetry,[status(thm)],[17591])).
% 6.74/6.91 tff(17836,plain,
% 6.74/6.91 (mult(mult(b, a), mult(mult(mult(a, b), a), c)) = mult(mult(b, a), mult(mult(a, mult(c, b)), a))),
% 6.74/6.91 inference(transitivity,[status(thm)],[17835, 11155, 7884, 11388, 17834, 11152, 16945])).
% 6.74/6.91 tff(17837,plain,
% 6.74/6.91 (ld(mult(b, a), mult(mult(b, a), mult(mult(mult(a, b), a), c))) = ld(mult(b, a), mult(mult(b, a), mult(mult(a, mult(c, b)), a)))),
% 6.74/6.91 inference(monotonicity,[status(thm)],[17836])).
% 6.74/6.91 tff(17838,plain,
% 6.74/6.91 (ld(mult(b, a), mult(mult(b, a), mult(mult(a, mult(c, b)), a))) = ld(mult(b, a), mult(mult(b, a), mult(mult(mult(a, b), a), c)))),
% 6.74/6.91 inference(symmetry,[status(thm)],[17837])).
% 6.74/6.91 tff(17839,plain,
% 6.74/6.91 (mult(a, mult(mult(c, b), a)) = mult(a, mult(b, mult(c, a)))),
% 6.74/6.91 inference(transitivity,[status(thm)],[8206, 16607, 17838, 16396, 9069, 15803, 13470])).
% 6.74/6.91 tff(17840,plain,
% 6.74/6.91 (ld(a, mult(a, mult(mult(c, b), a))) = ld(a, mult(a, mult(b, mult(c, a))))),
% 6.74/6.91 inference(monotonicity,[status(thm)],[17839])).
% 6.74/6.91 tff(17841,plain,
% 6.74/6.91 (mult(c, mult(b, a)) = mult(mult(b, a), c)),
% 6.74/6.91 inference(transitivity,[status(thm)],[17063, 713, 17840, 77, 3531])).
% 6.74/6.91 tff(17842,plain,
% 6.74/6.91 (mult(mult(mult(b, a), a), mult(c, mult(b, a))) = mult(mult(mult(b, a), a), mult(mult(b, a), c))),
% 6.74/6.91 inference(monotonicity,[status(thm)],[17841])).
% 6.74/6.91 tff(17843,plain,
% 6.74/6.91 ((mult(mult(mult(mult(b, a), a), c), mult(b, a)) = mult(mult(mult(b, a), a), mult(c, mult(b, a)))) <=> (mult(mult(mult(mult(b, a), a), c), mult(b, a)) = mult(mult(mult(b, a), a), mult(mult(b, a), c)))),
% 6.74/6.91 inference(monotonicity,[status(thm)],[17842])).
% 6.74/6.91 tff(17844,plain,
% 6.74/6.91 ((mult(mult(mult(mult(b, a), a), c), mult(b, a)) = mult(mult(mult(b, a), a), mult(mult(b, a), c))) <=> (mult(mult(mult(mult(b, a), a), c), mult(b, a)) = mult(mult(mult(b, a), a), mult(c, mult(b, a))))),
% 6.74/6.91 inference(symmetry,[status(thm)],[17843])).
% 6.74/6.91 tff(17845,assumption,((~(mult(mult(mult(mult(b, a), a), mult(b, a)), c) = mult(mult(mult(b, a), a), mult(c, mult(b, a))))) | (~(mult(mult(mult(mult(b, a), a), c), mult(b, a)) = mult(mult(mult(b, a), a), mult(mult(b, a), c))))), introduced(assumption)).
% 6.74/6.91 tff(17846,plain,
% 6.74/6.91 ($false),
% 6.74/6.91 inference(unit_resolution,[status(thm)],[16350, 30, 17845, 16347])).
% 6.74/6.91 tff(17847,plain,((~((~(mult(mult(mult(mult(b, a), a), mult(b, a)), c) = mult(mult(mult(b, a), a), mult(c, mult(b, a))))) | (~(mult(mult(mult(mult(b, a), a), c), mult(b, a)) = mult(mult(mult(b, a), a), mult(mult(b, a), c)))))) | (mult(mult(mult(mult(b, a), a), c), mult(b, a)) = mult(mult(mult(b, a), a), mult(c, mult(b, a))))), inference(lemma,lemma(discharge,[]))).
% 6.74/6.91 tff(17848,plain,
% 6.74/6.91 (~((~(mult(mult(mult(mult(b, a), a), mult(b, a)), c) = mult(mult(mult(b, a), a), mult(c, mult(b, a))))) | (~(mult(mult(mult(mult(b, a), a), c), mult(b, a)) = mult(mult(mult(b, a), a), mult(mult(b, a), c)))))),
% 6.74/6.91 inference(unit_resolution,[status(thm)],[17847, 16011])).
% 6.74/6.91 tff(17849,plain,
% 6.74/6.91 (mult(mult(mult(mult(b, a), a), c), mult(b, a)) = mult(mult(mult(b, a), a), mult(mult(b, a), c))),
% 6.74/6.91 inference(unit_resolution,[status(thm)],[16352, 17848])).
% 6.74/6.91 tff(17850,plain,
% 6.74/6.91 (mult(mult(mult(mult(b, a), a), c), mult(b, a)) = mult(mult(mult(b, a), a), mult(c, mult(b, a)))),
% 6.74/6.91 inference(modus_ponens,[status(thm)],[17849, 17844])).
% 6.74/6.91 tff(17851,plain,
% 6.74/6.91 ($false),
% 6.74/6.91 inference(unit_resolution,[status(thm)],[16011, 17850])).
% 6.74/6.91 tff(17852,plain,((mult(mult(mult(b, a), mult(a, c)), mult(b, a)) = mult(mult(b, a), mult(mult(b, a), mult(a, c)))) | (mult(mult(mult(mult(b, a), a), c), mult(b, a)) = mult(mult(mult(b, a), a), mult(c, mult(b, a)))) | (mult(a, b) = mult(b, a))), inference(lemma,lemma(discharge,[]))).
% 6.74/6.91 tff(17853,plain,
% 6.74/6.91 (mult(mult(mult(mult(b, a), a), c), mult(b, a)) = mult(mult(mult(b, a), a), mult(c, mult(b, a)))),
% 6.74/6.91 inference(unit_resolution,[status(thm)],[17852, 17719, 1])).
% 6.74/6.91 tff(17854,plain,
% 6.74/6.91 (mult(mult(c, a), mult(b, a)) = mult(mult(mult(c, a), b), a)),
% 6.74/6.91 inference(transitivity,[status(thm)],[17623, 4516, 2808])).
% 6.74/6.91 tff(17855,plain,
% 6.74/6.91 (mult(mult(b, a), mult(mult(c, a), mult(b, a))) = mult(mult(b, a), mult(mult(mult(c, a), b), a))),
% 6.74/6.91 inference(monotonicity,[status(thm)],[17854])).
% 6.74/6.91 tff(17856,plain,
% 6.74/6.91 (~(mult(mult(mult(b, a), mult(c, a)), mult(b, a)) = mult(mult(b, a), mult(mult(b, a), mult(c, a))))),
% 6.74/6.91 inference(unit_resolution,[status(thm)],[17263, 17222, 16949, 11152, 93, 533, 17656, 15126])).
% 6.74/6.91 tff(17857,plain,
% 6.74/6.91 ((~(mult(mult(mult(b, a), mult(b, a)), mult(c, a)) = mult(mult(b, a), mult(mult(c, a), mult(b, a))))) | (~(mult(mult(mult(b, a), mult(c, a)), mult(b, a)) = mult(mult(b, a), mult(mult(b, a), mult(c, a)))))),
% 6.74/6.91 inference(unit_resolution,[status(thm)],[8008, 17856])).
% 6.74/6.91 tff(17858,plain,
% 6.74/6.91 (~((~(mult(mult(mult(b, a), mult(c, a)), mult(b, a)) = mult(mult(b, a), mult(mult(c, a), mult(b, a))))) | (~(mult(mult(mult(b, a), mult(b, a)), mult(c, a)) = mult(mult(b, a), mult(mult(b, a), mult(c, a))))))),
% 6.74/6.91 inference(unit_resolution,[status(thm)],[16387, 17857])).
% 6.74/6.91 tff(17859,plain,
% 6.74/6.91 (mult(mult(mult(b, a), mult(c, a)), mult(b, a)) = mult(mult(b, a), mult(mult(c, a), mult(b, a)))),
% 6.74/6.91 inference(unit_resolution,[status(thm)],[16379, 17858])).
% 6.74/6.91 tff(17860,plain,
% 6.74/6.91 (mult(mult(b, a), mult(mult(c, a), mult(b, a))) = mult(mult(mult(b, a), mult(c, a)), mult(b, a))),
% 6.74/6.91 inference(symmetry,[status(thm)],[17859])).
% 6.74/6.91 tff(17861,plain,
% 6.74/6.91 (mult(mult(b, a), mult(mult(mult(c, a), b), a)) = mult(mult(b, a), mult(mult(c, a), mult(b, a)))),
% 6.74/6.91 inference(symmetry,[status(thm)],[17855])).
% 6.74/6.91 tff(17862,plain,
% 6.74/6.91 (mult(mult(b, a), mult(a, c)) = mult(mult(mult(c, a), b), a)),
% 6.74/6.91 inference(transitivity,[status(thm)],[12189, 17618, 12147, 2808])).
% 6.74/6.91 tff(17863,plain,
% 6.74/6.91 (mult(mult(b, a), mult(mult(b, a), mult(a, c))) = mult(mult(b, a), mult(mult(mult(c, a), b), a))),
% 6.74/6.91 inference(monotonicity,[status(thm)],[17862])).
% 6.74/6.91 tff(17864,plain,
% 6.74/6.91 (mult(mult(b, a), mult(mult(b, a), mult(a, c))) = mult(mult(mult(b, a), a), mult(mult(c, b), a))),
% 6.74/6.91 inference(transitivity,[status(thm)],[17863, 17861, 17860, 16928, 16949, 17183])).
% 6.74/6.91 tff(17865,plain,
% 6.74/6.91 (mult(mult(mult(b, a), mult(a, c)), mult(b, a)) = mult(mult(b, a), mult(a, mult(mult(c, b), a)))),
% 6.74/6.91 inference(transitivity,[status(thm)],[11152, 17239])).
% 6.74/6.91 tff(17866,plain,
% 6.74/6.91 ((mult(mult(mult(b, a), mult(a, c)), mult(b, a)) = mult(mult(b, a), mult(mult(b, a), mult(a, c)))) <=> (mult(mult(b, a), mult(a, mult(mult(c, b), a))) = mult(mult(mult(b, a), a), mult(mult(c, b), a)))),
% 6.74/6.91 inference(monotonicity,[status(thm)],[17865, 17864])).
% 6.74/6.91 tff(17867,plain,
% 6.74/6.91 ((mult(mult(mult(b, a), mult(a, c)), mult(b, a)) = mult(mult(b, a), mult(mult(b, a), mult(a, c)))) <=> (mult(mult(mult(b, a), a), mult(mult(c, b), a)) = mult(mult(b, a), mult(a, mult(mult(c, b), a))))),
% 6.74/6.91 inference(transitivity,[status(thm)],[17866, 17248])).
% 6.74/6.91 tff(17868,plain,
% 6.74/6.91 ((~(mult(mult(mult(b, a), mult(a, c)), mult(b, a)) = mult(mult(b, a), mult(mult(b, a), mult(a, c))))) <=> (~(mult(mult(mult(b, a), a), mult(mult(c, b), a)) = mult(mult(b, a), mult(a, mult(mult(c, b), a)))))),
% 6.74/6.91 inference(monotonicity,[status(thm)],[17867])).
% 6.74/6.91 tff(17869,plain,
% 6.74/6.91 (~(mult(mult(mult(b, a), a), mult(mult(c, b), a)) = mult(mult(b, a), mult(a, mult(mult(c, b), a))))),
% 6.74/6.91 inference(modus_ponens,[status(thm)],[11136, 17868])).
% 6.74/6.91 tff(17870,plain,
% 6.74/6.91 ((~(mult(mult(mult(b, a), a), mult(mult(c, b), a)) = mult(mult(b, a), mult(a, mult(mult(c, b), a))))) | (~(mult(mult(mult(b, a), mult(mult(c, b), a)), a) = mult(mult(b, a), mult(mult(mult(c, b), a), a))))),
% 6.74/6.91 inference(unit_resolution,[status(thm)],[17041, 17869])).
% 6.74/6.91 tff(17871,plain,
% 6.74/6.91 (~((~(mult(mult(mult(b, a), a), mult(mult(c, b), a)) = mult(mult(b, a), mult(mult(mult(c, b), a), a)))) | (~(mult(mult(mult(b, a), mult(mult(c, b), a)), a) = mult(mult(b, a), mult(a, mult(mult(c, b), a))))))),
% 6.74/6.91 inference(unit_resolution,[status(thm)],[17039, 17870])).
% 6.74/6.91 tff(17872,plain,
% 6.74/6.91 (mult(mult(mult(b, a), a), mult(mult(c, b), a)) = mult(mult(b, a), mult(mult(mult(c, b), a), a))),
% 6.74/6.91 inference(unit_resolution,[status(thm)],[17034, 17871])).
% 6.74/6.91 tff(17873,plain,
% 6.74/6.91 (mult(mult(b, a), mult(mult(mult(c, b), a), a)) = mult(mult(mult(b, a), a), mult(mult(c, b), a))),
% 6.74/6.91 inference(symmetry,[status(thm)],[17872])).
% 6.74/6.91 tff(17874,plain,
% 6.74/6.91 (mult(c, mult(mult(b, a), a)) = mult(mult(c, mult(b, a)), a)),
% 6.74/6.91 inference(symmetry,[status(thm)],[17656])).
% 6.74/6.91 tff(17875,plain,
% 6.74/6.91 (mult(c, mult(mult(b, a), a)) = mult(mult(mult(c, b), a), a)),
% 6.74/6.91 inference(transitivity,[status(thm)],[17874, 17001])).
% 6.74/6.91 tff(17876,plain,
% 6.74/6.91 (mult(mult(b, a), mult(c, mult(mult(b, a), a))) = mult(mult(b, a), mult(mult(mult(c, b), a), a))),
% 6.74/6.91 inference(monotonicity,[status(thm)],[17875])).
% 6.74/6.91 tff(17877,plain,
% 6.74/6.91 (mult(mult(b, a), mult(c, mult(mult(b, a), a))) = mult(mult(b, a), mult(c, mult(mult(a, b), a)))),
% 6.74/6.91 inference(transitivity,[status(thm)],[17876, 17873, 16998, 16979, 16898, 17859, 17855, 11315])).
% 6.74/6.91 tff(17878,plain,
% 6.74/6.91 (ld(mult(b, a), mult(mult(b, a), mult(c, mult(mult(b, a), a)))) = ld(mult(b, a), mult(mult(b, a), mult(c, mult(mult(a, b), a))))),
% 6.74/6.91 inference(monotonicity,[status(thm)],[17877])).
% 6.74/6.91 tff(17879,plain,
% 6.74/6.91 (mult(mult(c, mult(b, a)), a) = mult(c, mult(a, mult(b, a)))),
% 6.74/6.91 inference(transitivity,[status(thm)],[17656, 17655, 17878, 11130, 17592])).
% 6.74/6.91 tff(17880,plain,
% 6.74/6.91 ($false),
% 6.74/6.91 inference(unit_resolution,[status(thm)],[17620, 17879])).
% 6.74/6.91 tff(17881,plain,((mult(mult(mult(mult(b, a), mult(a, c)), b), a) = mult(mult(mult(b, a), mult(a, c)), mult(b, a))) | (mult(mult(c, mult(b, a)), a) = mult(c, mult(a, mult(b, a)))) | (~(mult(mult(mult(mult(b, a), a), c), mult(b, a)) = mult(mult(mult(b, a), a), mult(c, mult(b, a))))) | (~(mult(mult(c, b), a) = mult(c, mult(b, a)))) | (mult(mult(mult(b, a), mult(a, c)), mult(b, a)) = mult(mult(b, a), mult(mult(b, a), mult(a, c)))) | (~(mult(mult(a, mult(b, a)), mult(a, c)) = mult(a, mult(mult(b, a), mult(a, c))))) | (~(mult(mult(mult(a, c), mult(a, b)), a) = mult(mult(a, c), mult(mult(a, b), a)))) | (~(mult(mult(a, c), mult(mult(a, b), a)) = mult(a, mult(c, mult(mult(a, b), a))))) | (~(mult(mult(mult(b, a), c), mult(mult(a, b), a)) = mult(mult(b, a), mult(mult(mult(a, b), a), c)))) | (~(mult(mult(mult(a, c), b), a) = mult(mult(a, c), mult(b, a)))) | (mult(mult(mult(a, b), a), c) = mult(mult(a, b), mult(a, c))) | (~(mult(mult(mult(a, b), c), a) = mult(mult(a, b), mult(a, c))))), inference(lemma,lemma(discharge,[]))).
% 6.74/6.92 tff(17882,plain,
% 6.74/6.92 (mult(mult(mult(mult(b, a), mult(a, c)), b), a) = mult(mult(mult(b, a), mult(a, c)), mult(b, a))),
% 6.74/6.92 inference(unit_resolution,[status(thm)],[17881, 17719, 17853, 16940, 15821, 17124, 16829, 16336, 17591, 15794, 15808, 15801])).
% 6.74/6.92 tff(17883,plain,
% 6.74/6.92 ((mult(mult(b, a), mult(c, mult(mult(a, b), a))) = mult(mult(mult(b, a), c), mult(mult(a, b), a))) <=> (mult(mult(mult(b, a), c), mult(mult(a, b), a)) = mult(mult(b, a), mult(c, mult(mult(a, b), a))))),
% 6.74/6.92 inference(commutativity,[status(thm)],[])).
% 6.74/6.92 tff(17884,plain,
% 6.74/6.92 (mult(mult(mult(b, a), mult(a, c)), mult(b, a)) = mult(mult(b, a), mult(mult(b, a), mult(a, c)))),
% 6.74/6.92 inference(unit_resolution,[status(thm)],[17852, 16011, 1])).
% 6.74/6.92 tff(17885,plain,
% 6.74/6.92 (~(mult(mult(mult(b, a), a), mult(b, mult(c, a))) = mult(mult(b, a), mult(mult(b, mult(c, a)), a)))),
% 6.74/6.92 inference(unit_resolution,[status(thm)],[16361, 17884, 16011, 16342])).
% 6.74/6.92 tff(17886,plain,
% 6.74/6.92 ((~(mult(mult(mult(b, a), a), mult(b, mult(c, a))) = mult(mult(b, a), mult(mult(b, mult(c, a)), a)))) | (~(mult(mult(mult(b, a), mult(b, mult(c, a))), a) = mult(mult(b, a), mult(a, mult(b, mult(c, a))))))),
% 6.74/6.92 inference(unit_resolution,[status(thm)],[14265, 17885])).
% 6.74/6.92 tff(17887,plain,
% 6.74/6.92 (~((~(mult(mult(mult(b, a), a), mult(b, mult(c, a))) = mult(mult(b, a), mult(a, mult(b, mult(c, a)))))) | (~(mult(mult(mult(b, a), mult(b, mult(c, a))), a) = mult(mult(b, a), mult(mult(b, mult(c, a)), a)))))),
% 6.74/6.92 inference(unit_resolution,[status(thm)],[16366, 17886])).
% 6.74/6.92 tff(17888,plain,
% 6.74/6.92 (mult(mult(mult(b, a), a), mult(b, mult(c, a))) = mult(mult(b, a), mult(a, mult(b, mult(c, a))))),
% 6.74/6.92 inference(unit_resolution,[status(thm)],[15008, 17887])).
% 6.74/6.92 tff(17889,plain,
% 6.74/6.92 (mult(mult(mult(b, a), a), mult(mult(b, a), c)) = mult(mult(mult(b, a), c), mult(mult(a, b), a))),
% 6.74/6.92 inference(transitivity,[status(thm)],[14267, 17888, 16341, 17835])).
% 6.74/6.92 tff(17890,plain,
% 6.74/6.92 (~(mult(mult(mult(b, a), mult(c, a)), mult(b, a)) = mult(mult(b, a), mult(mult(b, a), mult(c, a))))),
% 6.74/6.92 inference(unit_resolution,[status(thm)],[16922, 17888, 17849, 1])).
% 6.74/6.92 tff(17891,plain,
% 6.74/6.92 ((~(mult(mult(mult(b, a), mult(b, a)), mult(c, a)) = mult(mult(b, a), mult(mult(c, a), mult(b, a))))) | (~(mult(mult(mult(b, a), mult(c, a)), mult(b, a)) = mult(mult(b, a), mult(mult(b, a), mult(c, a)))))),
% 6.74/6.92 inference(unit_resolution,[status(thm)],[8008, 17890])).
% 6.74/6.92 tff(17892,plain,
% 6.74/6.92 (~((~(mult(mult(mult(b, a), mult(c, a)), mult(b, a)) = mult(mult(b, a), mult(mult(c, a), mult(b, a))))) | (~(mult(mult(mult(b, a), mult(b, a)), mult(c, a)) = mult(mult(b, a), mult(mult(b, a), mult(c, a))))))),
% 6.74/6.92 inference(unit_resolution,[status(thm)],[16387, 17891])).
% 6.74/6.92 tff(17893,plain,
% 6.74/6.92 (mult(mult(mult(b, a), mult(c, a)), mult(b, a)) = mult(mult(b, a), mult(mult(c, a), mult(b, a)))),
% 6.74/6.92 inference(unit_resolution,[status(thm)],[16379, 17892])).
% 6.74/6.92 tff(17894,plain,
% 6.74/6.92 (mult(mult(mult(mult(b, a), a), c), mult(b, a)) = mult(mult(b, a), mult(c, mult(mult(a, b), a)))),
% 6.74/6.92 inference(transitivity,[status(thm)],[16898, 17893, 16371, 11315])).
% 6.74/6.92 tff(17895,plain,
% 6.74/6.92 ((mult(mult(mult(mult(b, a), a), c), mult(b, a)) = mult(mult(mult(b, a), a), mult(mult(b, a), c))) <=> (mult(mult(b, a), mult(c, mult(mult(a, b), a))) = mult(mult(mult(b, a), c), mult(mult(a, b), a)))),
% 6.74/6.92 inference(monotonicity,[status(thm)],[17894, 17889])).
% 6.74/6.92 tff(17896,plain,
% 6.74/6.92 ((mult(mult(mult(mult(b, a), a), c), mult(b, a)) = mult(mult(mult(b, a), a), mult(mult(b, a), c))) <=> (mult(mult(mult(b, a), c), mult(mult(a, b), a)) = mult(mult(b, a), mult(c, mult(mult(a, b), a))))),
% 6.74/6.92 inference(transitivity,[status(thm)],[17895, 17883])).
% 6.74/6.92 tff(17897,plain,
% 6.74/6.92 ((mult(mult(mult(b, a), c), mult(mult(a, b), a)) = mult(mult(b, a), mult(c, mult(mult(a, b), a)))) <=> (mult(mult(mult(mult(b, a), a), c), mult(b, a)) = mult(mult(mult(b, a), a), mult(mult(b, a), c)))),
% 6.74/6.92 inference(symmetry,[status(thm)],[17896])).
% 6.76/6.92 tff(17898,plain,
% 6.76/6.92 ((~(mult(mult(mult(b, a), c), mult(mult(a, b), a)) = mult(mult(b, a), mult(c, mult(mult(a, b), a))))) <=> (~(mult(mult(mult(mult(b, a), a), c), mult(b, a)) = mult(mult(mult(b, a), a), mult(mult(b, a), c))))),
% 6.76/6.92 inference(monotonicity,[status(thm)],[17897])).
% 6.76/6.92 tff(17899,plain,
% 6.76/6.92 (~(mult(mult(mult(mult(b, a), a), c), mult(b, a)) = mult(mult(mult(b, a), a), mult(mult(b, a), c)))),
% 6.76/6.92 inference(modus_ponens,[status(thm)],[11997, 17898])).
% 6.76/6.92 tff(17900,plain,
% 6.76/6.92 ($false),
% 6.76/6.92 inference(unit_resolution,[status(thm)],[17849, 17899])).
% 6.76/6.92 tff(17901,plain,((mult(mult(mult(mult(b, a), a), c), mult(b, a)) = mult(mult(mult(b, a), a), mult(c, mult(b, a)))) | (mult(mult(mult(b, a), c), mult(mult(a, b), a)) = mult(mult(b, a), mult(c, mult(mult(a, b), a)))) | (mult(a, b) = mult(b, a))), inference(lemma,lemma(discharge,[]))).
% 6.76/6.92 tff(17902,plain,
% 6.76/6.92 (mult(mult(mult(mult(b, a), a), c), mult(b, a)) = mult(mult(mult(b, a), a), mult(c, mult(b, a)))),
% 6.76/6.92 inference(unit_resolution,[status(thm)],[17901, 11997, 1])).
% 6.76/6.92 tff(17903,plain,
% 6.76/6.92 (mult(mult(mult(mult(b, a), mult(a, c)), b), a) = mult(mult(mult(b, a), mult(a, c)), mult(b, a))),
% 6.76/6.92 inference(unit_resolution,[status(thm)],[17881, 11136, 17902, 16940, 15821, 17124, 16829, 16336, 17591, 15794, 15808, 15801])).
% 6.76/6.92 tff(17904,plain,
% 6.76/6.92 (mult(mult(b, a), mult(mult(mult(a, b), a), c)) = mult(mult(b, a), mult(mult(a, mult(c, b)), a))),
% 6.76/6.92 inference(transitivity,[status(thm)],[17835, 11155, 7884, 11388, 17903, 11152, 16945])).
% 6.76/6.92 tff(17905,plain,
% 6.76/6.92 (ld(mult(b, a), mult(mult(b, a), mult(mult(mult(a, b), a), c))) = ld(mult(b, a), mult(mult(b, a), mult(mult(a, mult(c, b)), a)))),
% 6.76/6.92 inference(monotonicity,[status(thm)],[17904])).
% 6.76/6.92 tff(17906,plain,
% 6.76/6.92 (ld(mult(b, a), mult(mult(b, a), mult(mult(a, mult(c, b)), a))) = ld(mult(b, a), mult(mult(b, a), mult(mult(mult(a, b), a), c)))),
% 6.76/6.92 inference(symmetry,[status(thm)],[17905])).
% 6.76/6.92 tff(17907,plain,
% 6.76/6.92 (mult(a, mult(mult(c, b), a)) = mult(a, mult(b, mult(c, a)))),
% 6.76/6.92 inference(transitivity,[status(thm)],[8206, 16607, 17906, 16396, 9069, 15803, 13470])).
% 6.76/6.92 tff(17908,plain,
% 6.76/6.92 (ld(a, mult(a, mult(mult(c, b), a))) = ld(a, mult(a, mult(b, mult(c, a))))),
% 6.76/6.92 inference(monotonicity,[status(thm)],[17907])).
% 6.76/6.92 tff(17909,plain,
% 6.76/6.92 (mult(mult(c, b), a) = mult(b, mult(c, a))),
% 6.76/6.92 inference(transitivity,[status(thm)],[713, 17908, 77])).
% 6.76/6.92 tff(17910,plain,
% 6.76/6.92 (mult(mult(mult(c, b), a), a) = mult(mult(b, mult(c, a)), a)),
% 6.76/6.92 inference(monotonicity,[status(thm)],[17909])).
% 6.76/6.92 tff(17911,plain,
% 6.76/6.92 (mult(mult(b, mult(c, a)), a) = mult(mult(mult(c, b), a), a)),
% 6.76/6.92 inference(symmetry,[status(thm)],[17910])).
% 6.76/6.92 tff(17912,plain,
% 6.76/6.92 (mult(mult(b, a), mult(a, c)) = mult(mult(mult(c, b), a), a)),
% 6.76/6.92 inference(transitivity,[status(thm)],[4650, 11925, 17911])).
% 6.76/6.92 tff(17913,plain,
% 6.76/6.92 (mult(mult(b, a), mult(mult(b, a), mult(a, c))) = mult(mult(b, a), mult(mult(mult(c, b), a), a))),
% 6.76/6.92 inference(monotonicity,[status(thm)],[17912])).
% 6.76/6.92 tff(17914,plain,
% 6.76/6.92 (mult(mult(b, a), mult(mult(mult(c, b), a), a)) = mult(mult(b, a), mult(mult(b, a), mult(a, c)))),
% 6.76/6.92 inference(symmetry,[status(thm)],[17913])).
% 6.76/6.92 tff(17915,plain,
% 6.76/6.92 (mult(mult(b, a), mult(mult(mult(a, b), a), c)) = mult(mult(b, a), mult(mult(a, mult(c, b)), a))),
% 6.76/6.92 inference(transitivity,[status(thm)],[11253, 11155, 7884, 11388, 7850, 11366, 16561])).
% 6.76/6.92 tff(17916,plain,
% 6.76/6.92 (ld(mult(b, a), mult(mult(b, a), mult(mult(mult(a, b), a), c))) = ld(mult(b, a), mult(mult(b, a), mult(mult(a, mult(c, b)), a)))),
% 6.76/6.92 inference(monotonicity,[status(thm)],[17915])).
% 6.76/6.92 tff(17917,plain,
% 6.76/6.92 (ld(mult(b, a), mult(mult(b, a), mult(mult(a, mult(c, b)), a))) = ld(mult(b, a), mult(mult(b, a), mult(mult(mult(a, b), a), c)))),
% 6.76/6.92 inference(symmetry,[status(thm)],[17916])).
% 6.76/6.92 tff(17918,plain,
% 6.76/6.92 (mult(a, mult(mult(c, b), a)) = mult(a, mult(b, mult(c, a)))),
% 6.76/6.92 inference(transitivity,[status(thm)],[8206, 16607, 17917, 16396, 9069, 1435, 13470])).
% 6.76/6.92 tff(17919,plain,
% 6.76/6.92 (ld(a, mult(a, mult(mult(c, b), a))) = ld(a, mult(a, mult(b, mult(c, a))))),
% 6.76/6.92 inference(monotonicity,[status(thm)],[17918])).
% 6.76/6.92 tff(17920,plain,
% 6.76/6.92 (ld(a, mult(a, mult(b, mult(c, a)))) = ld(a, mult(a, mult(mult(c, b), a)))),
% 6.76/6.92 inference(symmetry,[status(thm)],[17919])).
% 6.76/6.92 tff(17921,plain,
% 6.76/6.92 (mult(mult(b, a), c) = mult(c, mult(b, a))),
% 6.76/6.92 inference(transitivity,[status(thm)],[3427, 2419, 17920, 712, 533])).
% 6.76/6.92 tff(17922,plain,
% 6.76/6.92 (mult(mult(mult(b, a), a), mult(mult(b, a), c)) = mult(mult(mult(b, a), a), mult(c, mult(b, a)))),
% 6.76/6.92 inference(monotonicity,[status(thm)],[17921])).
% 6.76/6.92 tff(17923,plain,
% 6.76/6.92 (mult(mult(mult(b, a), a), mult(c, mult(b, a))) = mult(mult(mult(b, a), a), mult(mult(b, a), c))),
% 6.76/6.92 inference(symmetry,[status(thm)],[17922])).
% 6.76/6.92 tff(17924,plain,
% 6.76/6.92 (mult(mult(mult(mult(b, a), a), c), mult(b, a)) = mult(mult(mult(b, a), a), mult(mult(b, a), c))),
% 6.76/6.92 inference(transitivity,[status(thm)],[16949, 17923])).
% 6.76/6.92 tff(17925,plain,
% 6.76/6.92 ($false),
% 6.76/6.92 inference(unit_resolution,[status(thm)],[17163, 17924])).
% 6.76/6.92 tff(17926,plain,((mult(mult(mult(mult(b, a), a), c), mult(b, a)) = mult(mult(mult(b, a), a), mult(mult(b, a), c))) | (~(mult(mult(mult(mult(b, a), a), c), mult(b, a)) = mult(mult(mult(b, a), a), mult(c, mult(b, a))))) | (~(mult(mult(c, b), a) = mult(c, mult(b, a)))) | (~(mult(mult(a, mult(b, a)), c) = mult(a, mult(mult(b, a), c)))) | (~(mult(mult(mult(b, a), c), mult(mult(a, b), a)) = mult(mult(b, a), mult(mult(mult(a, b), a), c)))) | (~(mult(mult(mult(mult(b, a), mult(a, c)), b), a) = mult(mult(mult(b, a), mult(a, c)), mult(b, a)))) | (~(mult(mult(mult(b, a), mult(a, c)), mult(b, a)) = mult(mult(b, a), mult(mult(a, c), mult(b, a))))) | (~(mult(mult(mult(a, c), b), a) = mult(mult(a, c), mult(b, a))))), inference(lemma,lemma(discharge,[]))).
% 6.76/6.92 tff(17927,plain,
% 6.76/6.92 (mult(mult(mult(mult(b, a), a), c), mult(b, a)) = mult(mult(mult(b, a), a), mult(mult(b, a), c))),
% 6.76/6.92 inference(unit_resolution,[status(thm)],[17926, 7850, 16940, 15803, 17591, 16949, 11366, 15794])).
% 6.76/6.92 tff(17928,plain,
% 6.76/6.92 (~(mult(mult(mult(b, a), a), mult(b, mult(c, a))) = mult(mult(b, a), mult(a, mult(b, mult(c, a)))))),
% 6.76/6.92 inference(unit_resolution,[status(thm)],[16922, 16910, 17927, 1])).
% 6.76/6.92 tff(17929,plain,
% 6.76/6.92 ((~(mult(mult(mult(b, a), a), mult(b, mult(c, a))) = mult(mult(b, a), mult(a, mult(b, mult(c, a)))))) | (~(mult(mult(mult(b, a), mult(b, mult(c, a))), a) = mult(mult(b, a), mult(mult(b, mult(c, a)), a))))),
% 6.76/6.92 inference(unit_resolution,[status(thm)],[15008, 17928])).
% 6.76/6.92 tff(17930,plain,
% 6.76/6.92 (~((~(mult(mult(mult(b, a), a), mult(b, mult(c, a))) = mult(mult(b, a), mult(mult(b, mult(c, a)), a)))) | (~(mult(mult(mult(b, a), mult(b, mult(c, a))), a) = mult(mult(b, a), mult(a, mult(b, mult(c, a)))))))),
% 6.76/6.92 inference(unit_resolution,[status(thm)],[16366, 17929])).
% 6.76/6.92 tff(17931,plain,
% 6.76/6.92 (mult(mult(mult(b, a), a), mult(b, mult(c, a))) = mult(mult(b, a), mult(mult(b, mult(c, a)), a))),
% 6.76/6.92 inference(unit_resolution,[status(thm)],[14265, 17930])).
% 6.76/6.92 tff(17932,plain,
% 6.76/6.92 (mult(mult(b, a), mult(mult(mult(a, b), a), c)) = mult(mult(b, a), mult(mult(a, mult(c, b)), a))),
% 6.76/6.92 inference(transitivity,[status(thm)],[17835, 11155, 7884, 11388, 7850, 11366, 16945])).
% 6.76/6.92 tff(17933,plain,
% 6.76/6.92 (ld(mult(b, a), mult(mult(b, a), mult(mult(mult(a, b), a), c))) = ld(mult(b, a), mult(mult(b, a), mult(mult(a, mult(c, b)), a)))),
% 6.76/6.92 inference(monotonicity,[status(thm)],[17932])).
% 6.76/6.92 tff(17934,plain,
% 6.76/6.92 (ld(mult(b, a), mult(mult(b, a), mult(mult(a, mult(c, b)), a))) = ld(mult(b, a), mult(mult(b, a), mult(mult(mult(a, b), a), c)))),
% 6.76/6.92 inference(symmetry,[status(thm)],[17933])).
% 6.76/6.92 tff(17935,plain,
% 6.76/6.92 (mult(a, mult(mult(c, b), a)) = mult(a, mult(b, mult(c, a)))),
% 6.76/6.92 inference(transitivity,[status(thm)],[8206, 16607, 17934, 16396, 9069, 15803, 13470])).
% 6.76/6.92 tff(17936,plain,
% 6.76/6.92 (ld(a, mult(a, mult(mult(c, b), a))) = ld(a, mult(a, mult(b, mult(c, a))))),
% 6.76/6.92 inference(monotonicity,[status(thm)],[17935])).
% 6.76/6.92 tff(17937,plain,
% 6.76/6.92 (ld(a, mult(a, mult(b, mult(c, a)))) = ld(a, mult(a, mult(mult(c, b), a)))),
% 6.76/6.92 inference(symmetry,[status(thm)],[17936])).
% 6.76/6.92 tff(17938,plain,
% 6.76/6.92 (mult(mult(b, a), c) = mult(c, mult(b, a))),
% 6.76/6.92 inference(transitivity,[status(thm)],[3427, 2419, 17937, 712, 16940])).
% 6.76/6.92 tff(17939,plain,
% 6.76/6.92 (mult(mult(mult(b, a), a), mult(mult(b, a), c)) = mult(mult(mult(b, a), a), mult(c, mult(b, a)))),
% 6.76/6.92 inference(monotonicity,[status(thm)],[17938])).
% 6.76/6.92 tff(17940,plain,
% 6.76/6.92 (mult(mult(mult(b, a), a), mult(c, mult(b, a))) = mult(mult(mult(b, a), a), mult(mult(b, a), c))),
% 6.76/6.92 inference(symmetry,[status(thm)],[17939])).
% 6.76/6.92 tff(17941,plain,
% 6.76/6.92 (mult(mult(b, a), mult(mult(b, a), mult(c, a))) = mult(mult(b, a), mult(mult(b, a), mult(a, c)))),
% 6.76/6.92 inference(transitivity,[status(thm)],[17026, 16354, 16949, 17940, 16927, 17931, 16010])).
% 6.76/6.92 tff(17942,plain,
% 6.76/6.92 (ld(mult(b, a), mult(mult(b, a), mult(mult(b, a), mult(c, a)))) = ld(mult(b, a), mult(mult(b, a), mult(mult(b, a), mult(a, c))))),
% 6.76/6.92 inference(monotonicity,[status(thm)],[17941])).
% 6.76/6.92 tff(17943,plain,
% 6.76/6.92 (ld(mult(b, a), mult(mult(b, a), mult(mult(b, a), mult(a, c)))) = ld(mult(b, a), mult(mult(b, a), mult(mult(b, a), mult(c, a))))),
% 6.76/6.92 inference(symmetry,[status(thm)],[17942])).
% 6.76/6.92 tff(17944,plain,
% 6.76/6.92 (mult(mult(mult(b, a), c), a) = mult(mult(b, a), mult(c, a))),
% 6.76/6.92 inference(transitivity,[status(thm)],[3530, 11270, 17943, 16009])).
% 6.76/6.92 tff(17945,plain,
% 6.76/6.92 ($false),
% 6.76/6.92 inference(unit_resolution,[status(thm)],[16342, 17944])).
% 6.76/6.92 tff(17946,plain,((~(mult(mult(mult(b, a), mult(c, a)), mult(b, a)) = mult(mult(b, a), mult(mult(b, a), mult(c, a))))) | (~(mult(mult(mult(mult(b, a), a), c), mult(b, a)) = mult(mult(mult(b, a), a), mult(c, mult(b, a))))) | (~(mult(mult(mult(mult(b, a), mult(a, c)), b), a) = mult(mult(mult(b, a), mult(a, c)), mult(b, a)))) | (~(mult(mult(mult(b, a), mult(a, c)), mult(b, a)) = mult(mult(b, a), mult(mult(a, c), mult(b, a))))) | (mult(a, b) = mult(b, a))), inference(lemma,lemma(discharge,[]))).
% 6.76/6.92 tff(17947,plain,
% 6.76/6.92 (~(mult(mult(mult(b, a), mult(c, a)), mult(b, a)) = mult(mult(b, a), mult(mult(b, a), mult(c, a))))),
% 6.76/6.92 inference(unit_resolution,[status(thm)],[17946, 17903, 17902, 11152, 1])).
% 6.76/6.92 tff(17948,plain,
% 6.76/6.92 ((~(mult(mult(mult(b, a), mult(b, a)), mult(c, a)) = mult(mult(b, a), mult(mult(c, a), mult(b, a))))) | (~(mult(mult(mult(b, a), mult(c, a)), mult(b, a)) = mult(mult(b, a), mult(mult(b, a), mult(c, a)))))),
% 6.76/6.92 inference(unit_resolution,[status(thm)],[8008, 17947])).
% 6.76/6.92 tff(17949,plain,
% 6.76/6.92 (~((~(mult(mult(mult(b, a), mult(c, a)), mult(b, a)) = mult(mult(b, a), mult(mult(c, a), mult(b, a))))) | (~(mult(mult(mult(b, a), mult(b, a)), mult(c, a)) = mult(mult(b, a), mult(mult(b, a), mult(c, a))))))),
% 6.76/6.92 inference(unit_resolution,[status(thm)],[16387, 17948])).
% 6.76/6.92 tff(17950,plain,
% 6.76/6.92 (mult(mult(mult(b, a), mult(c, a)), mult(b, a)) = mult(mult(b, a), mult(mult(c, a), mult(b, a)))),
% 6.76/6.92 inference(unit_resolution,[status(thm)],[16379, 17949])).
% 6.76/6.92 tff(17951,plain,
% 6.76/6.92 (mult(mult(b, a), mult(mult(c, a), mult(b, a))) = mult(mult(mult(b, a), mult(c, a)), mult(b, a))),
% 6.76/6.92 inference(symmetry,[status(thm)],[17950])).
% 6.76/6.92 tff(17952,plain,
% 6.76/6.92 (mult(mult(b, a), mult(c, mult(mult(a, b), a))) = mult(mult(mult(b, a), a), mult(mult(c, b), a))),
% 6.76/6.92 inference(transitivity,[status(thm)],[11223, 17786, 17951, 16354, 17902, 17044])).
% 6.76/6.92 tff(17953,plain,
% 6.76/6.92 (mult(a, mult(mult(c, b), a)) = mult(mult(a, c), mult(b, a))),
% 6.76/6.92 inference(transitivity,[status(thm)],[8206, 16558, 15794])).
% 6.76/6.92 tff(17954,plain,
% 6.76/6.92 (mult(mult(b, a), mult(a, mult(mult(c, b), a))) = mult(mult(b, a), mult(mult(a, c), mult(b, a)))),
% 6.76/6.92 inference(monotonicity,[status(thm)],[17953])).
% 6.76/6.92 tff(17955,plain,
% 6.76/6.92 (mult(mult(b, a), mult(mult(a, c), mult(b, a))) = mult(mult(b, a), mult(a, mult(mult(c, b), a)))),
% 6.76/6.92 inference(symmetry,[status(thm)],[17954])).
% 6.76/6.92 tff(17956,plain,
% 6.76/6.92 (mult(mult(mult(b, a), c), mult(mult(a, b), a)) = mult(mult(b, a), mult(a, mult(mult(c, b), a)))),
% 6.76/6.92 inference(transitivity,[status(thm)],[11155, 7884, 11388, 17903, 11152, 17955])).
% 6.76/6.92 tff(17957,plain,
% 6.76/6.92 ((mult(mult(mult(b, a), c), mult(mult(a, b), a)) = mult(mult(b, a), mult(c, mult(mult(a, b), a)))) <=> (mult(mult(b, a), mult(a, mult(mult(c, b), a))) = mult(mult(mult(b, a), a), mult(mult(c, b), a)))),
% 6.76/6.92 inference(monotonicity,[status(thm)],[17956, 17952])).
% 6.76/6.92 tff(17958,plain,
% 6.76/6.92 ((mult(mult(mult(b, a), c), mult(mult(a, b), a)) = mult(mult(b, a), mult(c, mult(mult(a, b), a)))) <=> (mult(mult(mult(b, a), a), mult(mult(c, b), a)) = mult(mult(b, a), mult(a, mult(mult(c, b), a))))),
% 6.76/6.93 inference(transitivity,[status(thm)],[17957, 17248])).
% 6.76/6.93 tff(17959,plain,
% 6.76/6.93 ((~(mult(mult(mult(b, a), c), mult(mult(a, b), a)) = mult(mult(b, a), mult(c, mult(mult(a, b), a))))) <=> (~(mult(mult(mult(b, a), a), mult(mult(c, b), a)) = mult(mult(b, a), mult(a, mult(mult(c, b), a)))))),
% 6.76/6.93 inference(monotonicity,[status(thm)],[17958])).
% 6.76/6.93 tff(17960,plain,
% 6.76/6.93 (~(mult(mult(mult(b, a), a), mult(mult(c, b), a)) = mult(mult(b, a), mult(a, mult(mult(c, b), a))))),
% 6.76/6.93 inference(modus_ponens,[status(thm)],[11997, 17959])).
% 6.76/6.93 tff(17961,plain,
% 6.76/6.93 ((~(mult(mult(mult(b, a), a), mult(mult(c, b), a)) = mult(mult(b, a), mult(a, mult(mult(c, b), a))))) | (~(mult(mult(mult(b, a), mult(mult(c, b), a)), a) = mult(mult(b, a), mult(mult(mult(c, b), a), a))))),
% 6.76/6.93 inference(unit_resolution,[status(thm)],[17041, 17960])).
% 6.76/6.93 tff(17962,plain,
% 6.76/6.93 (~((~(mult(mult(mult(b, a), a), mult(mult(c, b), a)) = mult(mult(b, a), mult(mult(mult(c, b), a), a)))) | (~(mult(mult(mult(b, a), mult(mult(c, b), a)), a) = mult(mult(b, a), mult(a, mult(mult(c, b), a))))))),
% 6.76/6.93 inference(unit_resolution,[status(thm)],[17039, 17961])).
% 6.76/6.93 tff(17963,plain,
% 6.76/6.93 (mult(mult(mult(b, a), a), mult(mult(c, b), a)) = mult(mult(b, a), mult(mult(mult(c, b), a), a))),
% 6.76/6.93 inference(unit_resolution,[status(thm)],[17034, 17962])).
% 6.76/6.93 tff(17964,plain,
% 6.76/6.93 (mult(mult(b, a), mult(c, mult(mult(a, b), a))) = mult(mult(b, a), mult(mult(b, a), mult(a, c)))),
% 6.76/6.93 inference(transitivity,[status(thm)],[11223, 17786, 17951, 16354, 17902, 17044, 17963, 17914])).
% 6.76/6.93 tff(17965,plain,
% 6.76/6.93 (ld(mult(b, a), mult(mult(b, a), mult(c, mult(mult(a, b), a)))) = ld(mult(b, a), mult(mult(b, a), mult(mult(b, a), mult(a, c))))),
% 6.76/6.93 inference(monotonicity,[status(thm)],[17964])).
% 6.76/6.93 tff(17966,plain,
% 6.76/6.93 (ld(mult(b, a), mult(mult(b, a), mult(mult(b, a), mult(a, c)))) = ld(mult(b, a), mult(mult(b, a), mult(c, mult(mult(a, b), a))))),
% 6.76/6.93 inference(symmetry,[status(thm)],[17965])).
% 6.76/6.93 tff(17967,plain,
% 6.76/6.93 (mult(mult(c, mult(b, a)), a) = mult(c, mult(a, mult(b, a)))),
% 6.76/6.93 inference(transitivity,[status(thm)],[17064, 17910, 3532, 3530, 11270, 17966, 11130, 17592])).
% 6.76/6.93 tff(17968,plain,
% 6.76/6.93 ($false),
% 6.76/6.93 inference(unit_resolution,[status(thm)],[15821, 17967])).
% 6.76/6.93 tff(17969,plain,((mult(mult(mult(b, a), mult(a, c)), mult(b, a)) = mult(mult(b, a), mult(mult(b, a), mult(a, c)))) | (mult(mult(mult(b, a), c), mult(mult(a, b), a)) = mult(mult(b, a), mult(c, mult(mult(a, b), a)))) | (mult(a, b) = mult(b, a))), inference(lemma,lemma(discharge,[]))).
% 6.76/6.93 tff(17970,plain,
% 6.76/6.93 (mult(mult(mult(b, a), c), mult(mult(a, b), a)) = mult(mult(b, a), mult(c, mult(mult(a, b), a)))),
% 6.76/6.93 inference(unit_resolution,[status(thm)],[17969, 17719, 1])).
% 6.76/6.93 tff(17971,plain,
% 6.76/6.93 (~(mult(mult(mult(b, a), mult(a, c)), mult(b, a)) = mult(mult(b, a), mult(mult(a, c), mult(b, a))))),
% 6.76/6.93 inference(unit_resolution,[status(thm)],[17296, 17970, 17882, 15794, 15831, 15827])).
% 6.76/6.93 tff(17972,plain,
% 6.76/6.93 ($false),
% 6.76/6.93 inference(unit_resolution,[status(thm)],[11151, 17971, 17721])).
% 6.76/6.93 tff(17973,plain,(mult(a, b) = mult(b, a)), inference(lemma,lemma(discharge,[]))).
% 6.76/6.93 tff(17974,plain,
% 6.76/6.93 (mult(mult(a, b), mult(a, c)) = mult(mult(b, a), mult(a, c))),
% 6.76/6.93 inference(monotonicity,[status(thm)],[17973])).
% 6.76/6.93 tff(17975,plain,
% 6.76/6.93 (mult(mult(b, a), mult(mult(a, b), mult(a, c))) = mult(mult(b, a), mult(mult(b, a), mult(a, c)))),
% 6.76/6.93 inference(monotonicity,[status(thm)],[17974])).
% 6.76/6.93 tff(17976,plain,
% 6.76/6.93 (mult(mult(mult(b, a), mult(a, c)), mult(a, b)) = mult(mult(mult(b, a), mult(a, c)), mult(b, a))),
% 6.76/6.93 inference(monotonicity,[status(thm)],[17973])).
% 6.76/6.93 tff(17977,plain,
% 6.76/6.93 ((mult(mult(mult(b, a), mult(a, c)), mult(a, b)) = mult(mult(b, a), mult(mult(a, b), mult(a, c)))) <=> (mult(mult(mult(b, a), mult(a, c)), mult(b, a)) = mult(mult(b, a), mult(mult(b, a), mult(a, c))))),
% 6.76/6.93 inference(monotonicity,[status(thm)],[17976, 17975])).
% 6.76/6.93 tff(17978,plain,
% 6.76/6.93 ((~(mult(mult(mult(b, a), mult(a, c)), mult(a, b)) = mult(mult(b, a), mult(mult(a, b), mult(a, c))))) <=> (~(mult(mult(mult(b, a), mult(a, c)), mult(b, a)) = mult(mult(b, a), mult(mult(b, a), mult(a, c)))))),
% 6.76/6.93 inference(monotonicity,[status(thm)],[17977])).
% 6.76/6.93 tff(17979,plain,
% 6.76/6.93 (mult(mult(a, c), mult(a, b)) = mult(mult(a, c), mult(b, a))),
% 6.76/6.93 inference(unit_resolution,[status(thm)],[3997, 17973])).
% 6.76/6.93 tff(17980,plain,
% 6.76/6.93 (mult(mult(c, a), b) = mult(c, mult(a, b))),
% 6.76/6.93 inference(unit_resolution,[status(thm)],[15750, 17973])).
% 6.76/6.93 tff(17981,plain,
% 6.76/6.93 (mult(mult(mult(a, c), b), a) = mult(mult(a, c), mult(b, a))),
% 6.76/6.93 inference(unit_resolution,[status(thm)],[15793, 17980])).
% 6.76/6.93 tff(17982,plain,
% 6.76/6.93 (mult(mult(mult(a, c), mult(b, a)), b) = mult(mult(a, c), mult(mult(b, a), b))),
% 6.76/6.93 inference(unit_resolution,[status(thm)],[3557, 17981])).
% 6.76/6.93 tff(17983,plain,
% 6.76/6.93 (mult(mult(mult(a, c), a), b) = mult(mult(a, c), mult(a, b))),
% 6.76/6.93 inference(unit_resolution,[status(thm)],[16041, 17982, 15757, 17980])).
% 6.76/6.93 tff(17984,plain,
% 6.76/6.93 (mult(mult(a, mult(c, a)), b) = mult(mult(a, c), mult(b, a))),
% 6.76/6.93 inference(transitivity,[status(thm)],[6925, 17983, 17979])).
% 6.76/6.93 tff(17985,plain,
% 6.76/6.93 ((mult(mult(a, mult(c, a)), b) = mult(a, mult(b, mult(c, a)))) <=> (mult(mult(a, c), mult(b, a)) = mult(a, mult(mult(b, a), c)))),
% 6.76/6.93 inference(monotonicity,[status(thm)],[17984, 13277])).
% 6.76/6.93 tff(17986,plain,
% 6.76/6.93 ((mult(mult(a, c), mult(b, a)) = mult(a, mult(mult(b, a), c))) <=> (mult(mult(a, mult(c, a)), b) = mult(a, mult(b, mult(c, a))))),
% 6.76/6.93 inference(symmetry,[status(thm)],[17985])).
% 6.76/6.93 tff(17987,plain,
% 6.76/6.93 (mult(mult(a, b), mult(c, a)) = mult(a, mult(b, mult(c, a)))),
% 6.76/6.93 inference(unit_resolution,[status(thm)],[16308, 17983, 15757, 17980])).
% 6.76/6.93 tff(17988,plain,
% 6.76/6.93 (mult(mult(a, c), mult(b, a)) = mult(a, mult(c, mult(b, a)))),
% 6.76/6.93 inference(unit_resolution,[status(thm)],[9243, 17987])).
% 6.76/6.93 tff(17989,plain,
% 6.76/6.93 (mult(a, mult(c, mult(b, a))) = mult(mult(a, c), mult(b, a))),
% 6.76/6.93 inference(symmetry,[status(thm)],[17988])).
% 6.76/6.93 tff(17990,plain,
% 6.76/6.93 (mult(mult(a, mult(b, a)), c) = mult(a, mult(mult(b, a), c))),
% 6.76/6.93 inference(unit_resolution,[status(thm)],[15783, 17980])).
% 6.76/6.93 tff(17991,plain,
% 6.76/6.93 ((mult(mult(a, mult(b, a)), c) = mult(a, mult(c, mult(b, a)))) <=> (mult(a, mult(mult(b, a), c)) = mult(mult(a, c), mult(b, a)))),
% 6.76/6.93 inference(monotonicity,[status(thm)],[17990, 17989])).
% 6.76/6.93 tff(17992,plain,
% 6.76/6.93 ((mult(mult(a, mult(b, a)), c) = mult(a, mult(c, mult(b, a)))) <=> (mult(mult(a, c), mult(b, a)) = mult(a, mult(mult(b, a), c)))),
% 6.76/6.93 inference(transitivity,[status(thm)],[17991, 2762])).
% 6.76/6.93 tff(17993,plain,
% 6.76/6.93 ((mult(mult(a, mult(b, a)), c) = mult(a, mult(c, mult(b, a)))) <=> (mult(mult(a, mult(c, a)), b) = mult(a, mult(b, mult(c, a))))),
% 6.76/6.93 inference(transitivity,[status(thm)],[17992, 17986])).
% 6.76/6.93 tff(17994,plain,
% 6.76/6.93 (mult(mult(b, a), mult(a, c)) = mult(mult(a, b), mult(a, c))),
% 6.76/6.93 inference(symmetry,[status(thm)],[17974])).
% 6.76/6.93 tff(17995,plain,
% 6.76/6.93 (mult(mult(a, b), c) = mult(mult(b, a), c)),
% 6.76/6.93 inference(monotonicity,[status(thm)],[17973])).
% 6.76/6.93 tff(17996,plain,
% 6.76/6.93 (mult(mult(a, b), c) = mult(b, mult(c, a))),
% 6.76/6.93 inference(transitivity,[status(thm)],[17995, 3427])).
% 6.76/6.93 tff(17997,plain,
% 6.76/6.93 (mult(mult(mult(a, b), c), a) = mult(mult(b, mult(c, a)), a)),
% 6.76/6.93 inference(monotonicity,[status(thm)],[17996])).
% 6.76/6.93 tff(17998,plain,
% 6.76/6.93 (mult(mult(mult(a, b), c), a) = mult(mult(a, b), mult(a, c))),
% 6.76/6.93 inference(transitivity,[status(thm)],[17997, 4657, 3530, 17994])).
% 6.76/6.93 tff(17999,plain,
% 6.76/6.93 (mult(mult(a, a), mult(b, c)) = mult(a, mult(a, mult(b, c)))),
% 6.76/6.93 inference(unit_resolution,[status(thm)],[10434, 17998])).
% 6.76/6.93 tff(18000,plain,
% 6.76/6.93 (mult(mult(a, mult(b, c)), a) = mult(a, mult(mult(b, c), a))),
% 6.76/6.93 inference(unit_resolution,[status(thm)],[1847, 17999])).
% 6.76/6.93 tff(18001,plain,
% 6.76/6.93 (~(mult(mult(b, c), a) = mult(b, mult(c, a)))),
% 6.76/6.93 inference(unit_resolution,[status(thm)],[13537, 18000])).
% 6.76/6.93 tff(18002,plain,
% 6.76/6.93 (~(mult(b, mult(c, a)) = mult(b, mult(a, c)))),
% 6.76/6.93 inference(modus_ponens,[status(thm)],[18001, 5986])).
% 6.76/6.93 tff(18003,plain,
% 6.76/6.93 (~(mult(c, a) = mult(a, c))),
% 6.76/6.93 inference(unit_resolution,[status(thm)],[2459, 18002])).
% 6.76/6.93 tff(18004,plain,
% 6.76/6.93 ((mult(mult(mult(c, a), b), a) = mult(mult(c, a), mult(b, a))) <=> (mult(mult(c, a), mult(b, a)) = mult(c, mult(a, mult(b, a))))),
% 6.76/6.93 inference(symmetry,[status(thm)],[4519])).
% 6.76/6.93 tff(18005,plain,
% 6.76/6.93 (mult(a, mult(a, b)) = mult(a, mult(b, a))),
% 6.76/6.93 inference(monotonicity,[status(thm)],[17973])).
% 6.76/6.93 tff(18006,plain,
% 6.76/6.93 (mult(mult(a, a), b) = mult(mult(a, b), a)),
% 6.76/6.93 inference(transitivity,[status(thm)],[4190, 18005, 4194])).
% 6.76/6.93 tff(18007,plain,
% 6.76/6.93 (mult(c, mult(mult(a, a), b)) = mult(c, mult(mult(a, b), a))),
% 6.76/6.93 inference(monotonicity,[status(thm)],[18006])).
% 6.76/6.93 tff(18008,plain,
% 6.76/6.93 (mult(c, mult(a, mult(a, b))) = mult(c, mult(mult(a, a), b))),
% 6.76/6.93 inference(monotonicity,[status(thm)],[6193])).
% 6.76/6.93 tff(18009,plain,
% 6.76/6.93 (mult(c, mult(a, mult(a, b))) = mult(mult(mult(c, a), b), a)),
% 6.76/6.93 inference(transitivity,[status(thm)],[18008, 18007, 2808])).
% 6.76/6.93 tff(18010,plain,
% 6.76/6.93 (mult(b, a) = mult(a, b)),
% 6.76/6.93 inference(symmetry,[status(thm)],[17973])).
% 6.76/6.93 tff(18011,plain,
% 6.76/6.93 (mult(mult(c, a), mult(b, a)) = mult(mult(c, a), mult(a, b))),
% 6.76/6.93 inference(monotonicity,[status(thm)],[18010])).
% 6.76/6.93 tff(18012,plain,
% 6.76/6.93 (mult(mult(c, a), mult(a, b)) = mult(mult(c, a), mult(b, a))),
% 6.76/6.93 inference(symmetry,[status(thm)],[18011])).
% 6.76/6.93 tff(18013,plain,
% 6.76/6.93 ((mult(mult(c, a), mult(a, b)) = mult(c, mult(a, mult(a, b)))) <=> (mult(mult(c, a), mult(b, a)) = mult(mult(mult(c, a), b), a))),
% 6.76/6.93 inference(monotonicity,[status(thm)],[18012, 18009])).
% 6.76/6.93 tff(18014,plain,
% 6.76/6.93 ((mult(mult(c, a), mult(a, b)) = mult(c, mult(a, mult(a, b)))) <=> (mult(mult(mult(c, a), b), a) = mult(mult(c, a), mult(b, a)))),
% 6.76/6.93 inference(transitivity,[status(thm)],[18013, 4515])).
% 6.76/6.93 tff(18015,plain,
% 6.76/6.93 ((mult(mult(c, a), mult(a, b)) = mult(c, mult(a, mult(a, b)))) <=> (mult(mult(c, a), mult(b, a)) = mult(c, mult(a, mult(b, a))))),
% 6.76/6.93 inference(transitivity,[status(thm)],[18014, 18004])).
% 6.76/6.93 tff(18016,plain,
% 6.76/6.93 (mult(mult(c, a), mult(a, b)) = mult(c, mult(a, mult(a, b)))),
% 6.76/6.93 inference(unit_resolution,[status(thm)],[6745, 17980])).
% 6.76/6.93 tff(18017,plain,
% 6.76/6.93 (mult(mult(c, a), mult(b, a)) = mult(c, mult(a, mult(b, a)))),
% 6.76/6.93 inference(modus_ponens,[status(thm)],[18016, 18015])).
% 6.76/6.93 tff(18018,plain,
% 6.76/6.93 (mult(mult(mult(b, a), mult(a, c)), mult(b, a)) = mult(mult(mult(b, a), mult(a, c)), mult(a, b))),
% 6.76/6.93 inference(monotonicity,[status(thm)],[18010])).
% 6.76/6.93 tff(18019,plain,
% 6.76/6.93 (mult(mult(mult(b, a), mult(a, c)), mult(a, b)) = mult(mult(mult(b, a), mult(a, c)), mult(b, a))),
% 6.76/6.93 inference(symmetry,[status(thm)],[18018])).
% 6.76/6.93 tff(18020,plain,
% 6.76/6.93 ((mult(mult(mult(mult(b, a), mult(a, c)), b), a) = mult(mult(mult(b, a), mult(a, c)), mult(a, b))) <=> (mult(mult(mult(mult(b, a), mult(a, c)), b), a) = mult(mult(mult(b, a), mult(a, c)), mult(b, a)))),
% 6.76/6.93 inference(monotonicity,[status(thm)],[18019])).
% 6.76/6.93 tff(18021,plain,
% 6.76/6.93 (mult(mult(mult(b, a), mult(a, c)), mult(a, b)) = mult(mult(mult(b, a), mult(a, c)), mult(b, a))),
% 6.76/6.93 inference(monotonicity,[status(thm)],[3994])).
% 6.76/6.93 tff(18022,plain,
% 6.76/6.93 ((mult(mult(mult(mult(b, a), mult(a, c)), b), a) = mult(mult(mult(b, a), mult(a, c)), mult(a, b))) <=> (mult(mult(mult(mult(b, a), mult(a, c)), b), a) = mult(mult(mult(b, a), mult(a, c)), mult(b, a)))),
% 6.76/6.93 inference(monotonicity,[status(thm)],[18021])).
% 6.76/6.93 tff(18023,plain,
% 6.76/6.93 ((mult(mult(mult(mult(b, a), mult(a, c)), b), a) = mult(mult(mult(b, a), mult(a, c)), mult(b, a))) <=> (mult(mult(mult(mult(b, a), mult(a, c)), b), a) = mult(mult(mult(b, a), mult(a, c)), mult(a, b)))),
% 6.76/6.93 inference(symmetry,[status(thm)],[18022])).
% 6.76/6.93 tff(18024,plain,
% 6.76/6.93 (mult(mult(mult(mult(b, a), mult(a, c)), b), a) = mult(mult(mult(b, a), mult(a, c)), mult(b, a))),
% 6.76/6.93 inference(unit_resolution,[status(thm)],[7867, 17705])).
% 6.76/6.93 tff(18025,plain,
% 6.76/6.93 (mult(mult(mult(mult(b, a), mult(a, c)), b), a) = mult(mult(mult(b, a), mult(a, c)), mult(a, b))),
% 6.76/6.93 inference(modus_ponens,[status(thm)],[18024, 18023])).
% 6.76/6.93 tff(18026,plain,
% 6.76/6.93 ($false),
% 6.76/6.93 inference(unit_resolution,[status(thm)],[17664, 18025])).
% 6.76/6.93 tff(18027,plain,((mult(mult(mult(mult(b, a), mult(a, c)), b), a) = mult(mult(mult(b, a), mult(a, c)), mult(a, b))) | (~(mult(a, b) = mult(b, a)))), inference(lemma,lemma(discharge,[]))).
% 6.76/6.93 tff(18028,plain,
% 6.76/6.93 (mult(mult(mult(mult(b, a), mult(a, c)), b), a) = mult(mult(mult(b, a), mult(a, c)), mult(a, b))),
% 6.76/6.93 inference(unit_resolution,[status(thm)],[18027, 17973])).
% 6.76/6.93 tff(18029,plain,
% 6.76/6.93 (mult(mult(mult(mult(b, a), mult(a, c)), b), a) = mult(mult(mult(b, a), mult(a, c)), mult(b, a))),
% 6.76/6.93 inference(modus_ponens,[status(thm)],[18028, 18020])).
% 6.76/6.93 tff(18030,plain,
% 6.76/6.93 ((~(mult(mult(mult(b, a), c), mult(mult(a, b), a)) = mult(mult(b, a), mult(c, mult(mult(a, b), a))))) | (~(mult(mult(mult(b, a), mult(a, c)), mult(b, a)) = mult(mult(b, a), mult(mult(a, c), mult(b, a)))))),
% 6.76/6.93 inference(unit_resolution,[status(thm)],[17296, 18029, 17981, 18017, 18003])).
% 6.76/6.93 tff(18031,plain,
% 6.76/6.93 (~(mult(mult(mult(b, a), mult(a, c)), mult(b, a)) = mult(mult(b, a), mult(mult(a, c), mult(b, a))))),
% 6.76/6.93 inference(unit_resolution,[status(thm)],[18030, 11394])).
% 6.76/6.93 tff(18032,plain,
% 6.76/6.93 ((~(mult(mult(mult(b, a), mult(a, c)), mult(b, a)) = mult(mult(b, a), mult(mult(a, c), mult(b, a))))) | (~(mult(mult(mult(b, a), mult(b, a)), mult(a, c)) = mult(mult(b, a), mult(mult(b, a), mult(a, c)))))),
% 6.76/6.93 inference(unit_resolution,[status(thm)],[11151, 18031])).
% 6.76/6.93 tff(18033,plain,
% 6.76/6.93 (~((~(mult(mult(mult(b, a), mult(b, a)), mult(a, c)) = mult(mult(b, a), mult(mult(a, c), mult(b, a))))) | (~(mult(mult(mult(b, a), mult(a, c)), mult(b, a)) = mult(mult(b, a), mult(mult(b, a), mult(a, c))))))),
% 6.76/6.93 inference(unit_resolution,[status(thm)],[11149, 18032])).
% 6.76/6.93 tff(18034,plain,
% 6.76/6.93 (mult(mult(mult(b, a), mult(a, c)), mult(b, a)) = mult(mult(b, a), mult(mult(b, a), mult(a, c)))),
% 6.76/6.93 inference(unit_resolution,[status(thm)],[11137, 18033])).
% 6.76/6.93 tff(18035,plain,
% 6.76/6.93 (mult(mult(mult(b, a), mult(a, c)), b) = mult(mult(mult(b, mult(c, a)), a), b)),
% 6.76/6.93 inference(symmetry,[status(thm)],[7857])).
% 6.76/6.93 tff(18036,plain,
% 6.76/6.93 (mult(mult(mult(mult(b, a), mult(a, c)), b), a) = mult(mult(mult(mult(b, mult(c, a)), a), b), a)),
% 6.76/6.93 inference(monotonicity,[status(thm)],[18035])).
% 6.76/6.93 tff(18037,plain,
% 6.76/6.93 (mult(mult(mult(b, a), mult(a, c)), mult(a, b)) = mult(mult(mult(mult(b, a), mult(a, c)), b), a)),
% 6.76/6.93 inference(symmetry,[status(thm)],[18028])).
% 6.76/6.93 tff(18038,plain,
% 6.76/6.93 (mult(mult(mult(b, mult(c, a)), a), mult(b, a)) = mult(mult(mult(b, a), mult(a, c)), mult(b, a))),
% 6.76/6.93 inference(monotonicity,[status(thm)],[7856])).
% 6.76/6.93 tff(18039,plain,
% 6.76/6.93 (mult(mult(mult(b, mult(c, a)), a), mult(b, a)) = mult(mult(b, mult(c, a)), mult(a, mult(b, a)))),
% 6.76/6.93 inference(transitivity,[status(thm)],[18038, 18018, 18037, 18036, 4198, 4196])).
% 6.76/6.93 tff(18040,plain,
% 6.76/6.93 (mult(c, mult(b, a)) = mult(c, mult(a, b))),
% 6.76/6.93 inference(monotonicity,[status(thm)],[18010])).
% 6.76/6.93 tff(18041,plain,
% 6.76/6.93 ((mult(mult(c, a), b) = mult(c, mult(b, a))) <=> (mult(mult(c, a), b) = mult(c, mult(a, b)))),
% 6.76/6.93 inference(monotonicity,[status(thm)],[18040])).
% 6.76/6.93 tff(18042,plain,
% 6.76/6.93 ((mult(mult(c, a), b) = mult(c, mult(a, b))) <=> (mult(mult(c, a), b) = mult(c, mult(b, a)))),
% 6.76/6.93 inference(symmetry,[status(thm)],[18041])).
% 6.76/6.93 tff(18043,plain,
% 6.76/6.93 (mult(mult(c, a), b) = mult(c, mult(b, a))),
% 6.76/6.93 inference(modus_ponens,[status(thm)],[17980, 18042])).
% 6.76/6.93 tff(18044,plain,
% 6.76/6.93 ((~(mult(mult(mult(b, a), c), mult(mult(a, b), a)) = mult(mult(b, a), mult(c, mult(mult(a, b), a))))) | (mult(mult(a, mult(b, a)), c) = mult(a, mult(c, mult(b, a)))) | (~(mult(mult(mult(b, a), mult(a, c)), mult(b, a)) = mult(mult(b, a), mult(mult(b, a), mult(a, c)))))),
% 6.76/6.93 inference(unit_resolution,[status(thm)],[13128, 18043, 17987, 18039])).
% 6.76/6.93 tff(18045,plain,
% 6.76/6.93 (mult(mult(a, mult(b, a)), c) = mult(a, mult(c, mult(b, a)))),
% 6.76/6.93 inference(unit_resolution,[status(thm)],[18044, 18034, 11394])).
% 6.76/6.93 tff(18046,plain,
% 6.76/6.93 (mult(mult(a, mult(c, a)), b) = mult(a, mult(b, mult(c, a)))),
% 6.76/6.93 inference(modus_ponens,[status(thm)],[18045, 17993])).
% 6.76/6.93 tff(18047,plain,
% 6.76/6.93 (mult(mult(mult(a, c), a), mult(a, b)) = mult(mult(mult(a, c), a), mult(b, a))),
% 6.76/6.93 inference(monotonicity,[status(thm)],[17973])).
% 6.76/6.93 tff(18048,plain,
% 6.76/6.93 ((mult(mult(mult(a, c), a), mult(a, b)) = mult(mult(a, c), mult(mult(a, b), a))) <=> (mult(mult(mult(a, c), a), mult(b, a)) = mult(mult(a, c), mult(a, mult(b, a))))),
% 6.76/6.93 inference(monotonicity,[status(thm)],[18047, 10732])).
% 6.76/6.93 tff(18049,plain,
% 6.76/6.93 ((mult(mult(mult(a, c), a), mult(b, a)) = mult(mult(a, c), mult(a, mult(b, a)))) <=> (mult(mult(mult(a, c), a), mult(a, b)) = mult(mult(a, c), mult(mult(a, b), a)))),
% 6.76/6.94 inference(symmetry,[status(thm)],[18048])).
% 6.76/6.94 tff(18050,plain,
% 6.76/6.94 (mult(a, mult(a, b)) = mult(mult(a, b), a)),
% 6.76/6.94 inference(transitivity,[status(thm)],[18005, 4194])).
% 6.76/6.94 tff(18051,plain,
% 6.76/6.94 (mult(mult(a, c), mult(a, mult(a, b))) = mult(mult(a, c), mult(mult(a, b), a))),
% 6.76/6.94 inference(monotonicity,[status(thm)],[18050])).
% 6.76/6.94 tff(18052,plain,
% 6.76/6.94 (mult(mult(a, c), mult(a, mult(a, b))) = mult(mult(a, c), mult(a, mult(b, a)))),
% 6.76/6.94 inference(transitivity,[status(thm)],[18051, 10732])).
% 6.76/6.94 tff(18053,plain,
% 6.76/6.94 ((mult(mult(mult(a, c), a), mult(a, b)) = mult(mult(a, c), mult(a, mult(a, b)))) <=> (mult(mult(mult(a, c), a), mult(b, a)) = mult(mult(a, c), mult(a, mult(b, a))))),
% 6.76/6.94 inference(monotonicity,[status(thm)],[18047, 18052])).
% 6.76/6.94 tff(18054,plain,
% 6.76/6.94 ((mult(mult(mult(a, c), a), mult(a, b)) = mult(mult(a, c), mult(a, mult(a, b)))) <=> (mult(mult(mult(a, c), a), mult(a, b)) = mult(mult(a, c), mult(mult(a, b), a)))),
% 6.76/6.94 inference(transitivity,[status(thm)],[18053, 18049])).
% 6.76/6.94 tff(18055,plain,
% 6.76/6.94 (mult(mult(mult(a, c), mult(a, b)), a) = mult(mult(a, c), mult(mult(a, b), a))),
% 6.76/6.94 inference(unit_resolution,[status(thm)],[16086, 17983])).
% 6.76/6.94 tff(18056,plain,
% 6.76/6.94 (mult(mult(mult(a, c), a), mult(a, b)) = mult(mult(a, c), mult(a, mult(a, b)))),
% 6.76/6.94 inference(unit_resolution,[status(thm)],[16101, 18055])).
% 6.76/6.94 tff(18057,plain,
% 6.76/6.94 (mult(mult(mult(a, c), a), mult(a, b)) = mult(mult(a, c), mult(mult(a, b), a))),
% 6.76/6.94 inference(modus_ponens,[status(thm)],[18056, 18054])).
% 6.76/6.94 tff(18058,plain,
% 6.76/6.94 (mult(mult(mult(a, c), a), b) = mult(mult(a, c), mult(b, a))),
% 6.76/6.94 inference(transitivity,[status(thm)],[17983, 17979])).
% 6.76/6.94 tff(18059,plain,
% 6.76/6.94 ((mult(mult(b, mult(mult(a, c), a)), mult(a, b)) = mult(b, mult(mult(mult(a, c), a), mult(a, b)))) | (~(mult(mult(a, mult(c, a)), b) = mult(a, mult(b, mult(c, a)))))),
% 6.76/6.94 inference(unit_resolution,[status(thm)],[15703, 17990, 18058, 18057])).
% 6.76/6.94 tff(18060,plain,
% 6.76/6.94 (mult(mult(b, mult(mult(a, c), a)), mult(a, b)) = mult(b, mult(mult(mult(a, c), a), mult(a, b)))),
% 6.76/6.94 inference(unit_resolution,[status(thm)],[18059, 18046])).
% 6.76/6.94 tff(18061,plain,
% 6.76/6.94 (mult(mult(mult(a, c), mult(a, b)), a) = mult(mult(a, mult(c, mult(a, b))), a)),
% 6.76/6.94 inference(monotonicity,[status(thm)],[15757])).
% 6.76/6.94 tff(18062,plain,
% 6.76/6.94 (mult(mult(a, mult(c, mult(a, b))), a) = mult(mult(mult(a, c), mult(a, b)), a)),
% 6.76/6.94 inference(symmetry,[status(thm)],[18061])).
% 6.76/6.94 tff(18063,plain,
% 6.76/6.94 (mult(a, mult(c, mult(a, b))) = mult(mult(a, c), mult(b, a))),
% 6.76/6.94 inference(transitivity,[status(thm)],[16826, 17979])).
% 6.76/6.94 tff(18064,plain,
% 6.76/6.94 (mult(mult(a, mult(c, mult(a, b))), a) = mult(mult(mult(a, c), mult(b, a)), a)),
% 6.76/6.94 inference(monotonicity,[status(thm)],[18063])).
% 6.76/6.94 tff(18065,plain,
% 6.76/6.94 (mult(mult(mult(a, c), mult(b, a)), a) = mult(mult(a, mult(c, mult(a, b))), a)),
% 6.76/6.94 inference(symmetry,[status(thm)],[18064])).
% 6.76/6.94 tff(18066,plain,
% 6.76/6.94 (mult(mult(mult(a, c), b), a) = mult(mult(a, mult(c, b)), a)),
% 6.76/6.94 inference(symmetry,[status(thm)],[9247])).
% 6.76/6.94 tff(18067,plain,
% 6.76/6.94 (mult(mult(a, c), mult(b, a)) = mult(mult(mult(a, c), b), a)),
% 6.76/6.94 inference(symmetry,[status(thm)],[17981])).
% 6.76/6.94 tff(18068,plain,
% 6.76/6.94 (mult(mult(a, c), mult(b, a)) = mult(mult(a, mult(c, b)), a)),
% 6.76/6.94 inference(transitivity,[status(thm)],[18067, 18066])).
% 6.76/6.94 tff(18069,plain,
% 6.76/6.94 (mult(mult(mult(a, c), mult(b, a)), a) = mult(mult(mult(a, mult(c, b)), a), a)),
% 6.76/6.94 inference(monotonicity,[status(thm)],[18068])).
% 6.76/6.94 tff(18070,plain,
% 6.76/6.94 (mult(mult(mult(a, mult(c, b)), a), a) = mult(mult(mult(a, c), mult(b, a)), a)),
% 6.76/6.94 inference(symmetry,[status(thm)],[18069])).
% 6.76/6.94 tff(18071,plain,
% 6.76/6.94 (mult(a, mult(c, mult(b, a))) = mult(mult(a, mult(b, a)), c)),
% 6.76/6.94 inference(symmetry,[status(thm)],[18045])).
% 6.76/6.94 tff(18072,plain,
% 6.76/6.94 (mult(mult(a, mult(c, b)), a) = mult(mult(mult(a, b), a), c)),
% 6.76/6.94 inference(transitivity,[status(thm)],[9247, 17981, 17988, 18071, 8336])).
% 6.76/6.94 tff(18073,plain,
% 6.76/6.94 (mult(mult(mult(a, mult(c, b)), a), a) = mult(mult(mult(mult(a, b), a), c), a)),
% 6.76/6.94 inference(monotonicity,[status(thm)],[18072])).
% 6.76/6.94 tff(18074,plain,
% 6.76/6.94 (mult(mult(mult(mult(a, b), a), c), a) = mult(mult(mult(a, mult(c, b)), a), a)),
% 6.76/6.94 inference(symmetry,[status(thm)],[18073])).
% 6.76/6.94 tff(18075,plain,
% 6.76/6.94 (mult(a, mult(a, mult(b, c))) = mult(mult(a, a), mult(b, c))),
% 6.76/6.94 inference(symmetry,[status(thm)],[17999])).
% 6.76/6.94 tff(18076,plain,
% 6.76/6.94 (mult(a, mult(mult(a, b), c)) = mult(a, mult(b, mult(c, a)))),
% 6.76/6.94 inference(monotonicity,[status(thm)],[17996])).
% 6.76/6.94 tff(18077,plain,
% 6.76/6.94 (mult(a, mult(b, mult(c, a))) = mult(a, mult(mult(a, b), c))),
% 6.76/6.94 inference(symmetry,[status(thm)],[18076])).
% 6.76/6.94 tff(18078,plain,
% 6.76/6.94 (mult(mult(mult(a, b), a), c) = mult(mult(a, a), mult(b, c))),
% 6.76/6.94 inference(transitivity,[status(thm)],[9069, 17990, 13470, 18077, 10421, 18075])).
% 6.76/6.94 tff(18079,plain,
% 6.76/6.94 (mult(mult(mult(mult(a, b), a), c), a) = mult(mult(mult(a, a), mult(b, c)), a)),
% 6.76/6.94 inference(monotonicity,[status(thm)],[18078])).
% 6.76/6.94 tff(18080,plain,
% 6.76/6.94 (mult(mult(mult(a, a), mult(b, c)), a) = mult(mult(mult(mult(a, b), a), c), a)),
% 6.76/6.94 inference(symmetry,[status(thm)],[18079])).
% 6.76/6.94 tff(18081,plain,
% 6.76/6.94 (mult(mult(a, mult(a, c)), b) = mult(a, mult(mult(a, c), b))),
% 6.76/6.94 inference(unit_resolution,[status(thm)],[10453, 18000, 17998])).
% 6.76/6.94 tff(18082,plain,
% 6.76/6.94 (mult(mult(mult(a, a), c), b) = mult(mult(a, a), mult(c, b))),
% 6.76/6.94 inference(unit_resolution,[status(thm)],[10463, 17999, 15756])).
% 6.76/6.94 tff(18083,plain,
% 6.76/6.94 (mult(mult(a, a), mult(a, c)) = mult(a, mult(a, mult(a, c)))),
% 6.76/6.94 inference(unit_resolution,[status(thm)],[15920, 18082, 18081])).
% 6.76/6.94 tff(18084,plain,
% 6.76/6.94 (mult(mult(a, mult(a, c)), a) = mult(a, mult(mult(a, c), a))),
% 6.76/6.94 inference(unit_resolution,[status(thm)],[10473, 18082, 18081])).
% 6.76/6.94 tff(18085,plain,
% 6.76/6.94 (mult(mult(mult(a, a), b), c) = mult(mult(a, a), mult(b, c))),
% 6.76/6.94 inference(unit_resolution,[status(thm)],[10483, 18084, 18081])).
% 6.76/6.94 tff(18086,plain,
% 6.76/6.94 (mult(mult(a, mult(mult(b, c), a)), a) = mult(a, mult(mult(mult(b, c), a), a))),
% 6.76/6.94 inference(unit_resolution,[status(thm)],[10556, 18085, 17999])).
% 6.76/6.94 tff(18087,plain,
% 6.76/6.94 (mult(mult(a, mult(a, mult(a, c))), b) = mult(a, mult(mult(a, mult(a, c)), b))),
% 6.76/6.94 inference(unit_resolution,[status(thm)],[10671, 18086, 16003, 18000, 17998])).
% 6.76/6.94 tff(18088,plain,
% 6.76/6.94 (mult(mult(a, b), mult(a, c)) = mult(a, mult(b, mult(a, c)))),
% 6.76/6.94 inference(unit_resolution,[status(thm)],[10431, 18000, 17998])).
% 6.76/6.94 tff(18089,plain,
% 6.76/6.94 (mult(mult(a, b), mult(a, mult(a, c))) = mult(a, mult(b, mult(a, mult(a, c))))),
% 6.76/6.94 inference(unit_resolution,[status(thm)],[10709, 18086, 16003, 17998, 18000])).
% 6.76/6.94 tff(18090,assumption,(~(mult(mult(a, a), mult(mult(b, c), a)) = mult(a, mult(a, mult(mult(b, c), a))))), introduced(assumption)).
% 6.76/6.94 tff(18091,plain,
% 6.76/6.94 ((~(mult(mult(a, a), mult(mult(b, c), a)) = mult(a, mult(a, mult(mult(b, c), a))))) | (~(mult(mult(a, mult(mult(b, c), a)), a) = mult(a, mult(mult(mult(b, c), a), a))))),
% 6.76/6.94 inference(unit_resolution,[status(thm)],[15980, 18090])).
% 6.76/6.94 tff(18092,plain,
% 6.76/6.94 (mult(mult(a, mult(mult(b, c), a)), a) = mult(a, mult(a, mult(mult(b, c), a)))),
% 6.76/6.94 inference(unit_resolution,[status(thm)],[10511, 18091])).
% 6.76/6.94 tff(18093,plain,
% 6.76/6.94 (mult(a, mult(mult(b, c), a)) = mult(mult(a, b), mult(a, c))),
% 6.76/6.94 inference(transitivity,[status(thm)],[8139, 405])).
% 6.76/6.94 tff(18094,plain,
% 6.76/6.94 (mult(mult(a, mult(mult(b, c), a)), a) = mult(mult(mult(a, b), mult(a, c)), a)),
% 6.76/6.94 inference(monotonicity,[status(thm)],[18093])).
% 6.76/6.94 tff(18095,plain,
% 6.76/6.94 (mult(mult(mult(a, b), mult(a, c)), a) = mult(mult(a, mult(mult(b, c), a)), a)),
% 6.76/6.94 inference(symmetry,[status(thm)],[18094])).
% 6.76/6.94 tff(18096,plain,
% 6.76/6.94 (mult(a, mult(mult(mult(b, c), a), a)) = mult(a, mult(a, mult(mult(b, c), a)))),
% 6.76/6.94 inference(transitivity,[status(thm)],[10563, 13041, 6379, 18095, 18092])).
% 6.76/6.94 tff(18097,plain,
% 6.76/6.94 ((mult(mult(a, a), mult(mult(b, c), a)) = mult(a, mult(mult(mult(b, c), a), a))) <=> (mult(mult(a, a), mult(mult(b, c), a)) = mult(a, mult(a, mult(mult(b, c), a))))),
% 6.76/6.94 inference(monotonicity,[status(thm)],[18096])).
% 6.76/6.94 tff(18098,plain,
% 6.76/6.94 ((mult(mult(a, a), mult(mult(b, c), a)) = mult(a, mult(a, mult(mult(b, c), a)))) <=> (mult(mult(a, a), mult(mult(b, c), a)) = mult(a, mult(mult(mult(b, c), a), a)))),
% 6.76/6.94 inference(symmetry,[status(thm)],[18097])).
% 6.76/6.94 tff(18099,plain,
% 6.76/6.94 ((~(mult(mult(a, a), mult(mult(b, c), a)) = mult(a, mult(a, mult(mult(b, c), a))))) <=> (~(mult(mult(a, a), mult(mult(b, c), a)) = mult(a, mult(mult(mult(b, c), a), a))))),
% 6.76/6.94 inference(monotonicity,[status(thm)],[18098])).
% 6.76/6.94 tff(18100,plain,
% 6.76/6.94 (~(mult(mult(a, a), mult(mult(b, c), a)) = mult(a, mult(mult(mult(b, c), a), a)))),
% 6.76/6.94 inference(modus_ponens,[status(thm)],[18090, 18099])).
% 6.76/6.94 tff(18101,plain,
% 6.76/6.94 (~((~(mult(mult(a, a), mult(mult(b, c), a)) = mult(a, mult(mult(mult(b, c), a), a)))) | (~(mult(mult(a, mult(mult(b, c), a)), a) = mult(a, mult(a, mult(mult(b, c), a))))))),
% 6.76/6.94 inference(unit_resolution,[status(thm)],[10537, 18091])).
% 6.76/6.94 tff(18102,plain,
% 6.76/6.94 (mult(mult(a, a), mult(mult(b, c), a)) = mult(a, mult(mult(mult(b, c), a), a))),
% 6.76/6.94 inference(unit_resolution,[status(thm)],[10539, 18101])).
% 6.76/6.94 tff(18103,plain,
% 6.76/6.94 ($false),
% 6.76/6.94 inference(unit_resolution,[status(thm)],[18102, 18100])).
% 6.76/6.94 tff(18104,plain,((mult(mult(a, a), mult(mult(b, c), a)) = mult(a, mult(a, mult(mult(b, c), a)))) | (~(mult(mult(a, b), mult(a, mult(a, c))) = mult(a, mult(b, mult(a, mult(a, c)))))) | (~(mult(mult(mult(a, b), mult(a, c)), a) = mult(mult(a, b), mult(a, mult(a, c))))) | (~(mult(mult(a, b), mult(a, c)) = mult(a, mult(b, mult(a, c)))))), inference(lemma,lemma(discharge,[]))).
% 6.76/6.94 tff(18105,plain,
% 6.76/6.94 (mult(mult(a, a), mult(mult(b, c), a)) = mult(a, mult(a, mult(mult(b, c), a)))),
% 6.76/6.94 inference(unit_resolution,[status(thm)],[18104, 18089, 16003, 18088])).
% 6.76/6.94 tff(18106,plain,
% 6.76/6.94 (mult(mult(a, b), mult(a, c)) = mult(a, mult(mult(b, c), a))),
% 6.76/6.94 inference(transitivity,[status(thm)],[403, 12538, 10912])).
% 6.76/6.94 tff(18107,plain,
% 6.76/6.94 (mult(a, mult(mult(a, b), mult(a, c))) = mult(a, mult(a, mult(mult(b, c), a)))),
% 6.76/6.94 inference(monotonicity,[status(thm)],[18106])).
% 6.76/6.94 tff(18108,plain,
% 6.76/6.94 (mult(a, mult(a, mult(mult(b, c), a))) = mult(a, mult(mult(a, b), mult(a, c)))),
% 6.76/6.94 inference(symmetry,[status(thm)],[18107])).
% 6.76/6.94 tff(18109,plain,
% 6.76/6.94 (mult(mult(a, a), mult(b, mult(a, c))) = mult(mult(a, a), mult(mult(b, c), a))),
% 6.76/6.94 inference(symmetry,[status(thm)],[15978])).
% 6.76/6.94 tff(18110,plain,
% 6.76/6.94 (mult(mult(a, a), mult(b, mult(a, c))) = mult(a, mult(mult(a, b), mult(a, c)))),
% 6.76/6.94 inference(transitivity,[status(thm)],[18109, 5639, 18108])).
% 6.76/6.94 tff(18111,plain,
% 6.76/6.94 ((mult(mult(mult(a, a), b), mult(a, c)) = mult(mult(a, a), mult(b, mult(a, c)))) <=> (mult(mult(a, mult(a, b)), mult(a, c)) = mult(a, mult(mult(a, b), mult(a, c))))),
% 6.76/6.94 inference(monotonicity,[status(thm)],[6310, 18110])).
% 6.76/6.94 tff(18112,plain,
% 6.76/6.94 ((mult(mult(a, mult(a, b)), mult(a, c)) = mult(a, mult(mult(a, b), mult(a, c)))) <=> (mult(mult(mult(a, a), b), mult(a, c)) = mult(mult(a, a), mult(b, mult(a, c))))),
% 6.76/6.94 inference(symmetry,[status(thm)],[18111])).
% 6.76/6.94 tff(18113,assumption,(~(mult(mult(mult(a, a), b), mult(a, c)) = mult(mult(a, a), mult(b, mult(a, c))))), introduced(assumption)).
% 6.76/6.94 tff(18114,plain,
% 6.76/6.94 ((~(mult(mult(mult(a, a), b), mult(a, c)) = mult(mult(a, a), mult(b, mult(a, c))))) | (~(mult(mult(mult(a, a), mult(a, c)), b) = mult(mult(a, a), mult(mult(a, c), b))))),
% 6.76/6.94 inference(unit_resolution,[status(thm)],[5584, 18113])).
% 6.76/6.94 tff(18115,plain,
% 6.76/6.94 (~((~(mult(mult(mult(a, a), b), mult(a, c)) = mult(mult(a, a), mult(mult(a, c), b)))) | (~(mult(mult(mult(a, a), mult(a, c)), b) = mult(mult(a, a), mult(b, mult(a, c))))))),
% 6.76/6.94 inference(unit_resolution,[status(thm)],[5653, 18114])).
% 6.76/6.94 tff(18116,plain,
% 6.76/6.94 (mult(mult(mult(a, a), mult(a, c)), b) = mult(mult(a, a), mult(b, mult(a, c)))),
% 6.76/6.94 inference(unit_resolution,[status(thm)],[5591, 18115])).
% 6.76/6.94 tff(18117,plain,
% 6.76/6.94 (mult(a, mult(mult(a, mult(a, c)), b)) = mult(mult(a, mult(a, mult(a, c))), b)),
% 6.76/6.94 inference(symmetry,[status(thm)],[10727])).
% 6.76/6.94 tff(18118,plain,
% 6.76/6.94 (mult(a, mult(a, mult(a, mult(c, b)))) = mult(a, mult(mult(a, mult(a, c)), b))),
% 6.76/6.94 inference(symmetry,[status(thm)],[12433])).
% 6.76/6.94 tff(18119,plain,
% 6.76/6.94 (mult(mult(a, a), mult(mult(a, c), b)) = mult(a, mult(mult(a, b), mult(a, c)))),
% 6.76/6.94 inference(transitivity,[status(thm)],[15861, 10605, 18118, 18117, 10560, 18116, 18109, 5639, 18108])).
% 6.76/6.94 tff(18120,plain,
% 6.76/6.94 ((mult(mult(mult(a, a), b), mult(a, c)) = mult(mult(a, a), mult(mult(a, c), b))) <=> (mult(mult(a, mult(a, b)), mult(a, c)) = mult(a, mult(mult(a, b), mult(a, c))))),
% 6.76/6.94 inference(monotonicity,[status(thm)],[6310, 18119])).
% 6.76/6.94 tff(18121,plain,
% 6.76/6.94 ((mult(mult(mult(a, a), b), mult(a, c)) = mult(mult(a, a), mult(mult(a, c), b))) <=> (mult(mult(mult(a, a), b), mult(a, c)) = mult(mult(a, a), mult(b, mult(a, c))))),
% 6.76/6.94 inference(transitivity,[status(thm)],[18120, 18112])).
% 6.76/6.94 tff(18122,plain,
% 6.76/6.94 (mult(mult(mult(a, a), b), mult(a, c)) = mult(mult(a, a), mult(mult(a, c), b))),
% 6.76/6.94 inference(unit_resolution,[status(thm)],[5659, 18115])).
% 6.76/6.94 tff(18123,plain,
% 6.76/6.94 (mult(mult(mult(a, a), b), mult(a, c)) = mult(mult(a, a), mult(b, mult(a, c)))),
% 6.76/6.94 inference(modus_ponens,[status(thm)],[18122, 18121])).
% 6.76/6.94 tff(18124,plain,
% 6.76/6.94 ($false),
% 6.76/6.94 inference(unit_resolution,[status(thm)],[18113, 18123])).
% 6.76/6.94 tff(18125,plain,((mult(mult(mult(a, a), b), mult(a, c)) = mult(mult(a, a), mult(b, mult(a, c)))) | (~(mult(mult(a, a), mult(mult(b, c), a)) = mult(a, mult(a, mult(mult(b, c), a))))) | (~(mult(mult(a, mult(a, mult(a, c))), b) = mult(a, mult(mult(a, mult(a, c)), b)))) | (~(mult(mult(a, a), mult(a, c)) = mult(a, mult(a, mult(a, c))))) | (~(mult(mult(mult(a, b), c), a) = mult(mult(a, b), mult(a, c))))), inference(lemma,lemma(discharge,[]))).
% 6.76/6.94 tff(18126,plain,
% 6.76/6.94 (mult(mult(mult(a, a), b), mult(a, c)) = mult(mult(a, a), mult(b, mult(a, c)))),
% 6.76/6.94 inference(unit_resolution,[status(thm)],[18125, 18105, 18087, 18083, 17998])).
% 6.76/6.94 tff(18127,plain,
% 6.76/6.94 (mult(mult(a, a), mult(b, mult(a, c))) = mult(mult(mult(a, a), b), mult(a, c))),
% 6.76/6.94 inference(symmetry,[status(thm)],[18126])).
% 6.76/6.94 tff(18128,plain,
% 6.76/6.94 (mult(mult(a, a), mult(mult(b, c), a)) = mult(mult(mult(a, a), b), mult(a, c))),
% 6.76/6.94 inference(transitivity,[status(thm)],[15978, 18127])).
% 6.76/6.94 tff(18129,plain,
% 6.76/6.94 (mult(a, mult(mult(b, a), c)) = mult(mult(a, mult(b, a)), c)),
% 6.76/6.94 inference(symmetry,[status(thm)],[17990])).
% 6.76/6.94 tff(18130,plain,
% 6.76/6.94 (mult(mult(mult(a, a), b), c) = mult(mult(mult(a, b), a), c)),
% 6.76/6.94 inference(transitivity,[status(thm)],[5347, 15756, 18076, 13277, 18129, 8336])).
% 6.76/6.94 tff(18131,plain,
% 6.76/6.94 (mult(mult(mult(mult(a, a), b), c), a) = mult(mult(mult(mult(a, b), a), c), a)),
% 6.76/6.94 inference(monotonicity,[status(thm)],[18130])).
% 6.76/6.94 tff(18132,plain,
% 6.76/6.94 (mult(mult(mult(mult(a, b), a), c), a) = mult(mult(mult(mult(a, a), b), c), a)),
% 6.76/6.94 inference(symmetry,[status(thm)],[18131])).
% 6.76/6.94 tff(18133,plain,
% 6.76/6.94 (mult(mult(mult(a, a), mult(b, c)), a) = mult(mult(mult(mult(a, a), b), c), a)),
% 6.76/6.94 inference(transitivity,[status(thm)],[18080, 18132])).
% 6.76/6.94 tff(18134,plain,
% 6.76/6.94 ((mult(mult(mult(a, a), mult(b, c)), a) = mult(mult(a, a), mult(mult(b, c), a))) <=> (mult(mult(mult(mult(a, a), b), c), a) = mult(mult(mult(a, a), b), mult(a, c)))),
% 6.76/6.94 inference(monotonicity,[status(thm)],[18133, 18128])).
% 6.76/6.94 tff(18135,plain,
% 6.76/6.94 ((mult(mult(mult(mult(a, a), b), c), a) = mult(mult(mult(a, a), b), mult(a, c))) <=> (mult(mult(mult(a, a), mult(b, c)), a) = mult(mult(a, a), mult(mult(b, c), a)))),
% 6.76/6.94 inference(symmetry,[status(thm)],[18134])).
% 6.76/6.94 tff(18136,plain,
% 6.76/6.94 (mult(a, mult(a, mult(mult(b, c), a))) = mult(mult(a, a), mult(mult(b, c), a))),
% 6.76/6.94 inference(symmetry,[status(thm)],[18105])).
% 6.76/6.94 tff(18137,plain,
% 6.76/6.94 (mult(mult(b, mult(c, a)), a) = mult(mult(mult(a, b), c), a)),
% 6.76/6.94 inference(symmetry,[status(thm)],[17997])).
% 6.76/6.94 tff(18138,plain,
% 6.76/6.94 (mult(mult(b, a), mult(a, c)) = mult(a, mult(mult(b, c), a))),
% 6.76/6.94 inference(transitivity,[status(thm)],[4650, 4656, 18137, 12538, 18000])).
% 6.76/6.94 tff(18139,plain,
% 6.76/6.94 (mult(a, mult(mult(b, a), mult(a, c))) = mult(a, mult(a, mult(mult(b, c), a)))),
% 6.76/6.94 inference(monotonicity,[status(thm)],[18138])).
% 6.76/6.94 tff(18140,plain,
% 6.76/6.94 (mult(a, mult(mult(b, mult(c, a)), a)) = mult(mult(mult(a, a), b), mult(a, c))),
% 6.76/6.94 inference(transitivity,[status(thm)],[15139, 18139, 18136, 15978, 18127])).
% 6.76/6.94 tff(18141,plain,
% 6.76/6.94 (mult(a, mult(b, mult(c, a))) = mult(mult(mult(a, b), a), c)),
% 6.76/6.94 inference(transitivity,[status(thm)],[13277, 18129, 8336])).
% 6.76/6.94 tff(18142,plain,
% 6.76/6.94 (mult(mult(a, mult(b, mult(c, a))), a) = mult(mult(mult(mult(a, b), a), c), a)),
% 6.76/6.94 inference(monotonicity,[status(thm)],[18141])).
% 6.76/6.94 tff(18143,plain,
% 6.76/6.94 (mult(mult(a, mult(b, mult(c, a))), a) = mult(mult(mult(mult(a, a), b), c), a)),
% 6.76/6.94 inference(transitivity,[status(thm)],[18142, 18132])).
% 6.76/6.94 tff(18144,plain,
% 6.76/6.94 ((mult(mult(a, mult(b, mult(c, a))), a) = mult(a, mult(mult(b, mult(c, a)), a))) <=> (mult(mult(mult(mult(a, a), b), c), a) = mult(mult(mult(a, a), b), mult(a, c)))),
% 6.76/6.94 inference(monotonicity,[status(thm)],[18143, 18140])).
% 6.76/6.94 tff(18145,plain,
% 6.76/6.94 ((mult(mult(a, mult(b, mult(c, a))), a) = mult(a, mult(mult(b, mult(c, a)), a))) <=> (mult(mult(mult(a, a), mult(b, c)), a) = mult(mult(a, a), mult(mult(b, c), a)))),
% 6.76/6.94 inference(transitivity,[status(thm)],[18144, 18135])).
% 6.76/6.94 tff(18146,plain,
% 6.76/6.94 (mult(a, mult(a, mult(mult(b, c), a))) = mult(a, mult(mult(b, a), mult(a, c)))),
% 6.76/6.94 inference(symmetry,[status(thm)],[18139])).
% 6.76/6.94 tff(18147,plain,
% 6.76/6.94 (mult(mult(mult(a, a), b), mult(a, c)) = mult(mult(mult(a, b), a), mult(a, c))),
% 6.76/6.94 inference(monotonicity,[status(thm)],[18006])).
% 6.76/6.94 tff(18148,plain,
% 6.76/6.94 (mult(mult(a, a), mult(mult(b, c), a)) = mult(mult(a, mult(b, a)), mult(a, c))),
% 6.76/6.94 inference(transitivity,[status(thm)],[15978, 18127, 18147, 11016])).
% 6.76/6.94 tff(18149,plain,
% 6.76/6.94 ((mult(mult(a, a), mult(mult(b, c), a)) = mult(a, mult(a, mult(mult(b, c), a)))) <=> (mult(mult(a, mult(b, a)), mult(a, c)) = mult(a, mult(mult(b, a), mult(a, c))))),
% 6.76/6.94 inference(monotonicity,[status(thm)],[18148, 18146])).
% 6.76/6.94 tff(18150,plain,
% 6.76/6.94 (mult(mult(a, mult(b, a)), mult(a, c)) = mult(a, mult(mult(b, a), mult(a, c)))),
% 6.76/6.94 inference(modus_ponens,[status(thm)],[18105, 18149])).
% 6.76/6.94 tff(18151,plain,
% 6.76/6.94 (mult(b, mult(mult(a, c), a)) = mult(mult(b, mult(c, a)), a)),
% 6.76/6.94 inference(transitivity,[status(thm)],[863, 4656])).
% 6.76/6.94 tff(18152,plain,
% 6.76/6.94 (mult(a, mult(b, mult(mult(a, c), a))) = mult(a, mult(mult(b, mult(c, a)), a))),
% 6.76/6.94 inference(monotonicity,[status(thm)],[18151])).
% 6.76/6.94 tff(18153,plain,
% 6.76/6.94 (mult(a, mult(mult(b, mult(c, a)), a)) = mult(a, mult(b, mult(mult(a, c), a)))),
% 6.76/6.94 inference(symmetry,[status(thm)],[18152])).
% 6.76/6.94 tff(18154,plain,
% 6.76/6.94 (mult(a, mult(b, mult(c, a))) = mult(mult(mult(a, b), a), c)),
% 6.76/6.94 inference(transitivity,[status(thm)],[3682, 2432])).
% 6.76/6.94 tff(18155,plain,
% 6.76/6.94 (mult(mult(a, mult(b, mult(c, a))), a) = mult(mult(mult(mult(a, b), a), c), a)),
% 6.76/6.94 inference(monotonicity,[status(thm)],[18154])).
% 6.76/6.94 tff(18156,plain,
% 6.76/6.94 (mult(mult(a, mult(b, mult(c, a))), a) = mult(mult(a, b), mult(mult(a, c), a))),
% 6.76/6.94 inference(transitivity,[status(thm)],[18155, 11096])).
% 6.76/6.94 tff(18157,plain,
% 6.76/6.94 ((mult(mult(a, mult(b, mult(c, a))), a) = mult(a, mult(mult(b, mult(c, a)), a))) <=> (mult(mult(a, b), mult(mult(a, c), a)) = mult(a, mult(b, mult(mult(a, c), a))))),
% 6.76/6.94 inference(monotonicity,[status(thm)],[18156, 18153])).
% 6.76/6.94 tff(18158,plain,
% 6.76/6.94 ((mult(mult(a, b), mult(mult(a, c), a)) = mult(a, mult(b, mult(mult(a, c), a)))) <=> (mult(mult(a, mult(b, mult(c, a))), a) = mult(a, mult(mult(b, mult(c, a)), a)))),
% 6.76/6.94 inference(symmetry,[status(thm)],[18157])).
% 6.76/6.94 tff(18159,plain,
% 6.76/6.94 (mult(a, mult(mult(b, a), mult(a, c))) = mult(a, mult(mult(b, mult(c, a)), a))),
% 6.76/6.94 inference(monotonicity,[status(thm)],[7889])).
% 6.76/6.94 tff(18160,plain,
% 6.76/6.94 (mult(a, mult(mult(b, a), mult(a, c))) = mult(a, mult(b, mult(mult(a, c), a)))),
% 6.76/6.94 inference(transitivity,[status(thm)],[18159, 18153])).
% 6.76/6.94 tff(18161,plain,
% 6.76/6.94 (mult(mult(a, mult(b, a)), mult(a, c)) = mult(mult(a, b), mult(mult(a, c), a))),
% 6.76/6.94 inference(transitivity,[status(thm)],[11015, 11017])).
% 6.76/6.94 tff(18162,plain,
% 6.76/6.94 ((mult(mult(a, mult(b, a)), mult(a, c)) = mult(a, mult(mult(b, a), mult(a, c)))) <=> (mult(mult(a, b), mult(mult(a, c), a)) = mult(a, mult(b, mult(mult(a, c), a))))),
% 6.76/6.94 inference(monotonicity,[status(thm)],[18161, 18160])).
% 6.76/6.94 tff(18163,plain,
% 6.76/6.94 ((mult(mult(a, mult(b, a)), mult(a, c)) = mult(a, mult(mult(b, a), mult(a, c)))) <=> (mult(mult(a, mult(b, mult(c, a))), a) = mult(a, mult(mult(b, mult(c, a)), a)))),
% 6.76/6.94 inference(transitivity,[status(thm)],[18162, 18158])).
% 6.76/6.94 tff(18164,plain,
% 6.76/6.94 (mult(mult(a, mult(b, mult(c, a))), a) = mult(a, mult(mult(b, mult(c, a)), a))),
% 6.76/6.94 inference(modus_ponens,[status(thm)],[11249, 18163])).
% 6.76/6.94 tff(18165,plain,
% 6.76/6.94 ($false),
% 6.76/6.95 inference(unit_resolution,[status(thm)],[13369, 18164])).
% 6.76/6.95 tff(18166,plain,((~(mult(mult(a, mult(b, a)), mult(a, c)) = mult(a, mult(mult(b, a), mult(a, c))))) | (mult(mult(a, mult(b, mult(c, a))), a) = mult(a, mult(mult(b, mult(c, a)), a))) | (~(mult(mult(a, b), mult(c, a)) = mult(a, mult(b, mult(c, a))))) | (~(mult(mult(mult(a, b), a), c) = mult(mult(a, b), mult(c, a)))) | (~(mult(mult(mult(a, b), a), mult(a, c)) = mult(mult(a, b), mult(mult(a, c), a))))), inference(lemma,lemma(discharge,[]))).
% 6.76/6.95 tff(18167,plain,
% 6.76/6.95 ((~(mult(mult(a, mult(b, a)), mult(a, c)) = mult(a, mult(mult(b, a), mult(a, c))))) | (mult(mult(a, mult(b, mult(c, a))), a) = mult(a, mult(mult(b, mult(c, a)), a))) | (~(mult(mult(a, b), mult(c, a)) = mult(a, mult(b, mult(c, a))))) | (~(mult(mult(mult(a, b), a), mult(a, c)) = mult(mult(a, b), mult(mult(a, c), a))))),
% 6.76/6.95 inference(unit_resolution,[status(thm)],[18166, 9222])).
% 6.76/6.95 tff(18168,plain,
% 6.76/6.95 (mult(mult(a, mult(b, mult(c, a))), a) = mult(a, mult(mult(b, mult(c, a)), a))),
% 6.76/6.95 inference(unit_resolution,[status(thm)],[18167, 18150, 17987, 16004])).
% 6.76/6.95 tff(18169,plain,
% 6.76/6.95 (mult(mult(mult(a, a), mult(b, c)), a) = mult(mult(a, a), mult(mult(b, c), a))),
% 6.76/6.95 inference(modus_ponens,[status(thm)],[18168, 18145])).
% 6.76/6.95 tff(18170,plain,
% 6.76/6.95 (mult(mult(a, a), mult(mult(b, c), a)) = mult(mult(mult(a, a), mult(b, c)), a)),
% 6.76/6.95 inference(symmetry,[status(thm)],[18169])).
% 6.76/6.95 tff(18171,plain,
% 6.76/6.95 (mult(mult(a, c), mult(b, a)) = mult(mult(a, c), mult(a, b))),
% 6.76/6.95 inference(symmetry,[status(thm)],[17979])).
% 6.76/6.95 tff(18172,plain,
% 6.76/6.95 (mult(a, mult(mult(c, b), a)) = mult(a, mult(c, mult(a, b)))),
% 6.76/6.95 inference(transitivity,[status(thm)],[8206, 9247, 17981, 18171, 15757])).
% 6.76/6.95 tff(18173,plain,
% 6.76/6.95 (ld(a, mult(a, mult(mult(c, b), a))) = ld(a, mult(a, mult(c, mult(a, b))))),
% 6.76/6.95 inference(monotonicity,[status(thm)],[18172])).
% 6.76/6.95 tff(18174,plain,
% 6.76/6.95 (mult(a, mult(b, mult(c, a))) = mult(a, mult(mult(c, b), a))),
% 6.76/6.95 inference(transitivity,[status(thm)],[13277, 18129, 18045, 17989, 18067, 18066, 8184])).
% 6.76/6.95 tff(18175,plain,
% 6.76/6.95 (ld(a, mult(a, mult(b, mult(c, a)))) = ld(a, mult(a, mult(mult(c, b), a)))),
% 6.76/6.95 inference(monotonicity,[status(thm)],[18174])).
% 6.76/6.95 tff(18176,plain,
% 6.76/6.95 (mult(b, mult(c, a)) = mult(c, mult(a, b))),
% 6.76/6.95 inference(transitivity,[status(thm)],[2419, 18175, 18173, 667])).
% 6.76/6.95 tff(18177,plain,
% 6.76/6.95 (mult(mult(b, mult(c, a)), a) = mult(mult(c, mult(a, b)), a)),
% 6.76/6.95 inference(monotonicity,[status(thm)],[18176])).
% 6.76/6.95 tff(18178,plain,
% 6.76/6.95 (mult(mult(c, mult(a, b)), a) = mult(mult(b, mult(c, a)), a)),
% 6.76/6.95 inference(symmetry,[status(thm)],[18177])).
% 6.76/6.95 tff(18179,plain,
% 6.76/6.95 (mult(a, mult(b, a)) = mult(a, mult(a, b))),
% 6.76/6.95 inference(symmetry,[status(thm)],[18005])).
% 6.76/6.95 tff(18180,plain,
% 6.76/6.95 (mult(a, mult(b, a)) = mult(mult(a, a), b)),
% 6.76/6.95 inference(transitivity,[status(thm)],[18179, 6193])).
% 6.76/6.95 tff(18181,plain,
% 6.76/6.95 (mult(mult(a, mult(b, a)), a) = mult(mult(mult(a, a), b), a)),
% 6.76/6.95 inference(monotonicity,[status(thm)],[18180])).
% 6.76/6.95 tff(18182,plain,
% 6.76/6.95 (mult(mult(a, mult(b, a)), a) = mult(a, mult(a, mult(b, a)))),
% 6.76/6.95 inference(transitivity,[status(thm)],[18181, 10371, 7623])).
% 6.76/6.95 tff(18183,plain,
% 6.76/6.95 (mult(c, mult(mult(a, a), b)) = mult(c, mult(a, mult(a, b)))),
% 6.76/6.95 inference(symmetry,[status(thm)],[18008])).
% 6.76/6.95 tff(18184,plain,
% 6.76/6.95 (rd(mult(mult(mult(a, a), b), a), a) = rd(mult(mult(mult(a, b), a), a), a)),
% 6.76/6.95 inference(monotonicity,[status(thm)],[7626])).
% 6.76/6.95 tff(18185,plain,
% 6.76/6.95 (mult(mult(a, a), b) = rd(mult(mult(mult(a, a), b), a), a)),
% 6.76/6.95 inference(symmetry,[status(thm)],[10368])).
% 6.76/6.95 tff(18186,plain,
% 6.76/6.95 (mult(mult(a, a), b) = mult(mult(a, b), a)),
% 6.76/6.95 inference(transitivity,[status(thm)],[18185, 18184, 10376])).
% 6.76/6.95 tff(18187,plain,
% 6.76/6.95 (mult(c, mult(mult(a, a), b)) = mult(c, mult(mult(a, b), a))),
% 6.76/6.95 inference(monotonicity,[status(thm)],[18186])).
% 6.76/6.95 tff(18188,plain,
% 6.76/6.95 (mult(c, mult(mult(a, b), a)) = mult(c, mult(mult(a, a), b))),
% 6.76/6.95 inference(symmetry,[status(thm)],[18187])).
% 6.76/6.95 tff(18189,plain,
% 6.76/6.95 (mult(mult(c, mult(a, b)), a) = mult(c, mult(a, mult(a, b)))),
% 6.76/6.95 inference(transitivity,[status(thm)],[6733, 2807, 18188, 18183])).
% 6.76/6.95 tff(18190,plain,
% 6.76/6.95 ($false),
% 6.76/6.95 inference(unit_resolution,[status(thm)],[9015, 18189])).
% 6.76/6.95 tff(18191,plain,((~(mult(mult(a, mult(b, a)), a) = mult(a, mult(a, mult(b, a))))) | (mult(mult(c, mult(a, b)), a) = mult(c, mult(a, mult(a, b)))) | (~(mult(mult(c, a), b) = mult(c, mult(a, b))))), inference(lemma,lemma(discharge,[]))).
% 6.76/6.95 tff(18192,plain,
% 6.76/6.95 (mult(mult(c, mult(a, b)), a) = mult(c, mult(a, mult(a, b)))),
% 6.76/6.95 inference(unit_resolution,[status(thm)],[18191, 18182, 17980])).
% 6.76/6.95 tff(18193,plain,
% 6.76/6.95 (mult(c, mult(a, mult(a, b))) = mult(mult(c, mult(a, b)), a)),
% 6.76/6.95 inference(symmetry,[status(thm)],[18192])).
% 6.76/6.95 tff(18194,plain,
% 6.76/6.95 (mult(c, mult(mult(a, b), a)) = mult(c, mult(mult(a, a), b))),
% 6.76/6.95 inference(symmetry,[status(thm)],[18007])).
% 6.76/6.95 tff(18195,plain,
% 6.76/6.95 (mult(mult(mult(c, a), b), a) = mult(mult(b, a), mult(a, c))),
% 6.76/6.95 inference(transitivity,[status(thm)],[2807, 18194, 18183, 18193, 18178, 4657, 3530])).
% 6.76/6.95 tff(18196,plain,
% 6.76/6.95 (mult(a, mult(mult(mult(c, a), b), a)) = mult(a, mult(mult(b, a), mult(a, c)))),
% 6.76/6.95 inference(monotonicity,[status(thm)],[18195])).
% 6.76/6.95 tff(18197,plain,
% 6.76/6.95 (mult(a, mult(c, mult(mult(a, b), a))) = mult(mult(mult(a, c), mult(a, b)), a)),
% 6.76/6.95 inference(transitivity,[status(thm)],[10777, 18196, 18139, 18136, 18170, 18080, 18074, 18070, 18065, 18062])).
% 6.76/6.95 tff(18198,plain,
% 6.76/6.95 ((mult(mult(a, c), mult(mult(a, b), a)) = mult(a, mult(c, mult(mult(a, b), a)))) <=> (mult(mult(a, c), mult(mult(a, b), a)) = mult(mult(mult(a, c), mult(a, b)), a))),
% 6.76/6.95 inference(monotonicity,[status(thm)],[18197])).
% 6.76/6.95 tff(18199,plain,
% 6.76/6.95 ((mult(mult(a, c), mult(mult(a, b), a)) = mult(a, mult(c, mult(mult(a, b), a)))) <=> (mult(mult(mult(a, c), mult(a, b)), a) = mult(mult(a, c), mult(mult(a, b), a)))),
% 6.76/6.95 inference(transitivity,[status(thm)],[18198, 16088])).
% 6.76/6.95 tff(18200,plain,
% 6.76/6.95 ((mult(mult(mult(a, c), mult(a, b)), a) = mult(mult(a, c), mult(mult(a, b), a))) <=> (mult(mult(a, c), mult(mult(a, b), a)) = mult(a, mult(c, mult(mult(a, b), a))))),
% 6.76/6.95 inference(symmetry,[status(thm)],[18199])).
% 6.76/6.95 tff(18201,plain,
% 6.76/6.95 (mult(mult(a, c), mult(mult(a, b), a)) = mult(a, mult(c, mult(mult(a, b), a)))),
% 6.76/6.95 inference(modus_ponens,[status(thm)],[18055, 18200])).
% 6.76/6.95 tff(18202,plain,
% 6.76/6.95 (mult(mult(b, a), a) = mult(mult(a, b), a)),
% 6.76/6.95 inference(monotonicity,[status(thm)],[18010])).
% 6.76/6.95 tff(18203,plain,
% 6.76/6.95 (mult(b, mult(a, a)) = mult(mult(a, a), b)),
% 6.76/6.95 inference(transitivity,[status(thm)],[8656, 18202, 4193, 18179, 6193])).
% 6.76/6.95 tff(18204,plain,
% 6.76/6.95 (mult(mult(b, mult(a, a)), b) = mult(mult(mult(a, a), b), b)),
% 6.76/6.95 inference(monotonicity,[status(thm)],[18203])).
% 6.76/6.95 tff(18205,plain,
% 6.76/6.95 (mult(mult(mult(a, a), b), b) = mult(mult(b, mult(a, a)), b)),
% 6.76/6.95 inference(symmetry,[status(thm)],[18204])).
% 6.76/6.95 tff(18206,plain,
% 6.76/6.95 (mult(mult(c, a), mult(mult(mult(a, a), b), b)) = mult(mult(c, a), mult(mult(b, mult(a, a)), b))),
% 6.76/6.95 inference(monotonicity,[status(thm)],[18205])).
% 6.76/6.95 tff(18207,plain,
% 6.76/6.95 (mult(mult(c, a), mult(mult(b, mult(a, a)), b)) = mult(mult(c, a), mult(mult(mult(a, a), b), b))),
% 6.76/6.95 inference(symmetry,[status(thm)],[18206])).
% 6.76/6.95 tff(18208,plain,
% 6.76/6.95 ((mult(mult(c, a), mult(a, b)) = mult(c, mult(mult(a, b), a))) <=> (mult(mult(c, a), mult(b, a)) = mult(mult(mult(c, a), b), a))),
% 6.76/6.95 inference(monotonicity,[status(thm)],[18012, 2808])).
% 6.76/6.95 tff(18209,plain,
% 6.76/6.95 ((mult(mult(c, a), mult(a, b)) = mult(c, mult(mult(a, b), a))) <=> (mult(mult(mult(c, a), b), a) = mult(mult(c, a), mult(b, a)))),
% 6.76/6.95 inference(transitivity,[status(thm)],[18208, 4515])).
% 6.76/6.95 tff(18210,plain,
% 6.76/6.95 ((mult(mult(mult(c, a), b), a) = mult(mult(c, a), mult(b, a))) <=> (mult(mult(c, a), mult(a, b)) = mult(c, mult(mult(a, b), a)))),
% 6.76/6.95 inference(symmetry,[status(thm)],[18209])).
% 6.76/6.95 tff(18211,plain,
% 6.76/6.95 ((mult(mult(c, a), mult(a, b)) = mult(c, mult(a, mult(a, b)))) <=> (mult(mult(c, a), mult(a, b)) = mult(c, mult(mult(a, b), a)))),
% 6.76/6.95 inference(transitivity,[status(thm)],[18014, 18210])).
% 6.76/6.95 tff(18212,plain,
% 6.76/6.95 (mult(mult(c, a), mult(a, b)) = mult(c, mult(mult(a, b), a))),
% 6.76/6.95 inference(modus_ponens,[status(thm)],[18016, 18211])).
% 6.76/6.95 tff(18213,plain,
% 6.76/6.95 (mult(mult(c, a), mult(b, mult(a, a))) = mult(mult(c, a), mult(mult(b, a), a))),
% 6.76/6.95 inference(monotonicity,[status(thm)],[8656])).
% 6.76/6.95 tff(18214,plain,
% 6.76/6.95 (mult(mult(c, a), mult(mult(b, a), a)) = mult(mult(c, a), mult(b, mult(a, a)))),
% 6.76/6.95 inference(symmetry,[status(thm)],[18213])).
% 6.76/6.95 tff(18215,plain,
% 6.76/6.95 (mult(mult(c, a), mult(mult(b, a), a)) = mult(mult(c, a), mult(mult(a, b), a))),
% 6.76/6.95 inference(monotonicity,[status(thm)],[18202])).
% 6.76/6.95 tff(18216,plain,
% 6.76/6.95 (mult(mult(c, a), mult(mult(a, b), a)) = mult(mult(c, a), mult(mult(b, a), a))),
% 6.76/6.95 inference(symmetry,[status(thm)],[18215])).
% 6.76/6.95 tff(18217,plain,
% 6.76/6.95 (mult(mult(c, a), mult(mult(a, a), b)) = mult(mult(c, a), mult(mult(a, b), a))),
% 6.76/6.95 inference(monotonicity,[status(thm)],[18006])).
% 6.76/6.95 tff(18218,plain,
% 6.76/6.95 (mult(mult(c, a), mult(mult(a, a), b)) = mult(mult(c, a), mult(b, mult(a, a)))),
% 6.76/6.95 inference(transitivity,[status(thm)],[18217, 18216, 18214])).
% 6.76/6.95 tff(18219,plain,
% 6.76/6.95 ((mult(mult(mult(c, a), b), mult(a, a)) = mult(mult(c, a), mult(mult(a, a), b))) <=> (mult(mult(mult(c, a), b), mult(a, a)) = mult(mult(c, a), mult(b, mult(a, a))))),
% 6.76/6.95 inference(monotonicity,[status(thm)],[18218])).
% 6.76/6.95 tff(18220,plain,
% 6.76/6.95 ((mult(mult(mult(c, a), b), mult(a, a)) = mult(mult(c, a), mult(b, mult(a, a)))) <=> (mult(mult(mult(c, a), b), mult(a, a)) = mult(mult(c, a), mult(mult(a, a), b)))),
% 6.76/6.95 inference(symmetry,[status(thm)],[18219])).
% 6.76/6.95 tff(18221,plain,
% 6.76/6.95 (mult(mult(c, a), mult(b, mult(a, a))) = mult(mult(c, a), mult(mult(a, b), a))),
% 6.76/6.95 inference(transitivity,[status(thm)],[18213, 18215])).
% 6.76/6.95 tff(18222,plain,
% 6.76/6.95 (mult(mult(mult(c, a), mult(a, b)), a) = mult(mult(c, mult(mult(a, b), a)), a)),
% 6.76/6.95 inference(monotonicity,[status(thm)],[18212])).
% 6.76/6.95 tff(18223,plain,
% 6.76/6.95 (mult(mult(c, mult(mult(a, b), a)), a) = mult(mult(mult(c, a), mult(a, b)), a)),
% 6.76/6.95 inference(symmetry,[status(thm)],[18222])).
% 6.76/6.95 tff(18224,plain,
% 6.76/6.95 (mult(mult(c, mult(a, b)), a) = mult(c, mult(mult(a, b), a))),
% 6.76/6.95 inference(transitivity,[status(thm)],[18192, 18008, 18007])).
% 6.76/6.95 tff(18225,plain,
% 6.76/6.95 (mult(mult(mult(c, mult(a, b)), a), a) = mult(mult(c, mult(mult(a, b), a)), a)),
% 6.76/6.95 inference(monotonicity,[status(thm)],[18224])).
% 6.76/6.95 tff(18226,plain,
% 6.76/6.95 (((~![X0: $i, X1: $i, X2: $i] : ((~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X2, X1)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X1, X2)))))) | (~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X1, X2)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X2, X1)))))))) | (mult(mult(mult(c, mult(a, b)), a), a) = mult(mult(c, mult(a, b)), mult(a, a)))) <=> ((~![X0: $i, X1: $i, X2: $i] : ((~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X2, X1)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X1, X2)))))) | (~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X1, X2)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X2, X1)))))))) | (mult(mult(mult(c, mult(a, b)), a), a) = mult(mult(c, mult(a, b)), mult(a, a))))),
% 6.76/6.95 inference(rewrite,[status(thm)],[])).
% 6.76/6.95 tff(18227,plain,
% 6.76/6.95 (((mult(mult(mult(c, mult(a, b)), a), a) = mult(mult(c, mult(a, b)), mult(a, a))) | (mult(mult(mult(c, mult(a, b)), a), a) = mult(mult(c, mult(a, b)), mult(a, a)))) <=> (mult(mult(mult(c, mult(a, b)), a), a) = mult(mult(c, mult(a, b)), mult(a, a)))),
% 6.76/6.95 inference(rewrite,[status(thm)],[])).
% 6.76/6.95 tff(18228,plain,
% 6.76/6.95 ((~(~(mult(mult(mult(c, mult(a, b)), a), a) = mult(mult(c, mult(a, b)), mult(a, a))))) <=> (mult(mult(mult(c, mult(a, b)), a), a) = mult(mult(c, mult(a, b)), mult(a, a)))),
% 6.76/6.95 inference(rewrite,[status(thm)],[])).
% 6.76/6.95 tff(18229,plain,
% 6.76/6.95 (((~(mult(mult(mult(c, mult(a, b)), a), a) = mult(mult(c, mult(a, b)), mult(a, a)))) | (~(mult(mult(mult(c, mult(a, b)), a), a) = mult(mult(c, mult(a, b)), mult(a, a))))) <=> (~(mult(mult(mult(c, mult(a, b)), a), a) = mult(mult(c, mult(a, b)), mult(a, a))))),
% 6.76/6.95 inference(rewrite,[status(thm)],[])).
% 6.76/6.95 tff(18230,plain,
% 6.76/6.95 ((~((~(mult(mult(mult(c, mult(a, b)), a), a) = mult(mult(c, mult(a, b)), mult(a, a)))) | (~(mult(mult(mult(c, mult(a, b)), a), a) = mult(mult(c, mult(a, b)), mult(a, a)))))) <=> (~(~(mult(mult(mult(c, mult(a, b)), a), a) = mult(mult(c, mult(a, b)), mult(a, a)))))),
% 6.76/6.95 inference(monotonicity,[status(thm)],[18229])).
% 6.76/6.95 tff(18231,plain,
% 6.76/6.95 ((~((~(mult(mult(mult(c, mult(a, b)), a), a) = mult(mult(c, mult(a, b)), mult(a, a)))) | (~(mult(mult(mult(c, mult(a, b)), a), a) = mult(mult(c, mult(a, b)), mult(a, a)))))) <=> (mult(mult(mult(c, mult(a, b)), a), a) = mult(mult(c, mult(a, b)), mult(a, a)))),
% 6.76/6.95 inference(transitivity,[status(thm)],[18230, 18228])).
% 6.76/6.95 tff(18232,plain,
% 6.76/6.95 (((~((~(mult(mult(mult(c, mult(a, b)), a), a) = mult(mult(c, mult(a, b)), mult(a, a)))) | (~(mult(mult(mult(c, mult(a, b)), a), a) = mult(mult(c, mult(a, b)), mult(a, a)))))) | (~((~(mult(mult(mult(c, mult(a, b)), a), a) = mult(mult(c, mult(a, b)), mult(a, a)))) | (~(mult(mult(mult(c, mult(a, b)), a), a) = mult(mult(c, mult(a, b)), mult(a, a))))))) <=> ((mult(mult(mult(c, mult(a, b)), a), a) = mult(mult(c, mult(a, b)), mult(a, a))) | (mult(mult(mult(c, mult(a, b)), a), a) = mult(mult(c, mult(a, b)), mult(a, a))))),
% 6.76/6.95 inference(monotonicity,[status(thm)],[18231, 18231])).
% 6.76/6.95 tff(18233,plain,
% 6.76/6.95 (((~((~(mult(mult(mult(c, mult(a, b)), a), a) = mult(mult(c, mult(a, b)), mult(a, a)))) | (~(mult(mult(mult(c, mult(a, b)), a), a) = mult(mult(c, mult(a, b)), mult(a, a)))))) | (~((~(mult(mult(mult(c, mult(a, b)), a), a) = mult(mult(c, mult(a, b)), mult(a, a)))) | (~(mult(mult(mult(c, mult(a, b)), a), a) = mult(mult(c, mult(a, b)), mult(a, a))))))) <=> (mult(mult(mult(c, mult(a, b)), a), a) = mult(mult(c, mult(a, b)), mult(a, a)))),
% 6.76/6.95 inference(transitivity,[status(thm)],[18232, 18227])).
% 6.76/6.95 tff(18234,plain,
% 6.76/6.95 (((~![X0: $i, X1: $i, X2: $i] : ((~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X2, X1)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X1, X2)))))) | (~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X1, X2)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X2, X1)))))))) | ((~((~(mult(mult(mult(c, mult(a, b)), a), a) = mult(mult(c, mult(a, b)), mult(a, a)))) | (~(mult(mult(mult(c, mult(a, b)), a), a) = mult(mult(c, mult(a, b)), mult(a, a)))))) | (~((~(mult(mult(mult(c, mult(a, b)), a), a) = mult(mult(c, mult(a, b)), mult(a, a)))) | (~(mult(mult(mult(c, mult(a, b)), a), a) = mult(mult(c, mult(a, b)), mult(a, a)))))))) <=> ((~![X0: $i, X1: $i, X2: $i] : ((~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X2, X1)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X1, X2)))))) | (~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X1, X2)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X2, X1)))))))) | (mult(mult(mult(c, mult(a, b)), a), a) = mult(mult(c, mult(a, b)), mult(a, a))))),
% 6.76/6.95 inference(monotonicity,[status(thm)],[18233])).
% 6.76/6.95 tff(18235,plain,
% 6.76/6.95 (((~![X0: $i, X1: $i, X2: $i] : ((~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X2, X1)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X1, X2)))))) | (~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X1, X2)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X2, X1)))))))) | ((~((~(mult(mult(mult(c, mult(a, b)), a), a) = mult(mult(c, mult(a, b)), mult(a, a)))) | (~(mult(mult(mult(c, mult(a, b)), a), a) = mult(mult(c, mult(a, b)), mult(a, a)))))) | (~((~(mult(mult(mult(c, mult(a, b)), a), a) = mult(mult(c, mult(a, b)), mult(a, a)))) | (~(mult(mult(mult(c, mult(a, b)), a), a) = mult(mult(c, mult(a, b)), mult(a, a)))))))) <=> ((~![X0: $i, X1: $i, X2: $i] : ((~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X2, X1)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X1, X2)))))) | (~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X1, X2)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X2, X1)))))))) | (mult(mult(mult(c, mult(a, b)), a), a) = mult(mult(c, mult(a, b)), mult(a, a))))),
% 6.76/6.95 inference(transitivity,[status(thm)],[18234, 18226])).
% 6.76/6.95 tff(18236,plain,
% 6.76/6.95 ((~![X0: $i, X1: $i, X2: $i] : ((~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X2, X1)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X1, X2)))))) | (~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X1, X2)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X2, X1)))))))) | ((~((~(mult(mult(mult(c, mult(a, b)), a), a) = mult(mult(c, mult(a, b)), mult(a, a)))) | (~(mult(mult(mult(c, mult(a, b)), a), a) = mult(mult(c, mult(a, b)), mult(a, a)))))) | (~((~(mult(mult(mult(c, mult(a, b)), a), a) = mult(mult(c, mult(a, b)), mult(a, a)))) | (~(mult(mult(mult(c, mult(a, b)), a), a) = mult(mult(c, mult(a, b)), mult(a, a)))))))),
% 6.76/6.96 inference(quant_inst,[status(thm)],[])).
% 6.76/6.96 tff(18237,plain,
% 6.76/6.96 ((~![X0: $i, X1: $i, X2: $i] : ((~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X2, X1)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X1, X2)))))) | (~((~(mult(mult(X0, X1), X2) = mult(X0, mult(X1, X2)))) | (~(mult(mult(X0, X2), X1) = mult(X0, mult(X2, X1)))))))) | (mult(mult(mult(c, mult(a, b)), a), a) = mult(mult(c, mult(a, b)), mult(a, a)))),
% 6.76/6.96 inference(modus_ponens,[status(thm)],[18236, 18235])).
% 6.76/6.96 tff(18238,plain,
% 6.76/6.96 (mult(mult(mult(c, mult(a, b)), a), a) = mult(mult(c, mult(a, b)), mult(a, a))),
% 6.76/6.96 inference(unit_resolution,[status(thm)],[18237, 30])).
% 6.76/6.96 tff(18239,plain,
% 6.76/6.96 (mult(mult(c, mult(a, b)), mult(a, a)) = mult(mult(mult(c, mult(a, b)), a), a)),
% 6.76/6.96 inference(symmetry,[status(thm)],[18238])).
% 6.76/6.96 tff(18240,plain,
% 6.76/6.96 (mult(mult(c, a), b) = mult(c, mult(a, b))),
% 6.76/6.96 inference(transitivity,[status(thm)],[18043, 18040])).
% 6.76/6.96 tff(18241,plain,
% 6.76/6.96 (mult(mult(mult(c, a), b), mult(a, a)) = mult(mult(c, mult(a, b)), mult(a, a))),
% 6.76/6.96 inference(monotonicity,[status(thm)],[18240])).
% 6.76/6.96 tff(18242,plain,
% 6.76/6.96 (mult(mult(mult(c, a), b), mult(a, a)) = mult(mult(mult(c, a), mult(a, b)), a)),
% 6.76/6.96 inference(transitivity,[status(thm)],[18241, 18239, 18225, 18223])).
% 6.76/6.96 tff(18243,plain,
% 6.76/6.96 ((mult(mult(mult(c, a), b), mult(a, a)) = mult(mult(c, a), mult(b, mult(a, a)))) <=> (mult(mult(mult(c, a), mult(a, b)), a) = mult(mult(c, a), mult(mult(a, b), a)))),
% 6.76/6.96 inference(monotonicity,[status(thm)],[18242, 18221])).
% 6.76/6.96 tff(18244,plain,
% 6.76/6.96 ((mult(mult(mult(c, a), mult(a, b)), a) = mult(mult(c, a), mult(mult(a, b), a))) <=> (mult(mult(mult(c, a), b), mult(a, a)) = mult(mult(c, a), mult(b, mult(a, a))))),
% 6.76/6.96 inference(symmetry,[status(thm)],[18243])).
% 6.76/6.96 tff(18245,plain,
% 6.76/6.96 ((mult(mult(mult(c, a), mult(a, b)), a) = mult(mult(c, a), mult(mult(a, b), a))) <=> (mult(mult(mult(c, a), b), mult(a, a)) = mult(mult(c, a), mult(mult(a, a), b)))),
% 6.76/6.96 inference(transitivity,[status(thm)],[18244, 18220])).
% 6.76/6.96 tff(18246,plain,
% 6.76/6.96 ((mult(mult(mult(c, a), a), b) = mult(mult(c, a), mult(a, b))) <=> (mult(mult(mult(c, a), a), b) = mult(mult(c, a), mult(b, a)))),
% 6.76/6.96 inference(monotonicity,[status(thm)],[18012])).
% 6.76/6.96 tff(18247,plain,
% 6.76/6.96 (mult(mult(c, a), mult(a, b)) = mult(c, mult(mult(a, a), b))),
% 6.76/6.96 inference(transitivity,[status(thm)],[9883, 12554])).
% 6.76/6.96 tff(18248,plain,
% 6.76/6.96 (mult(c, mult(a, a)) = mult(mult(c, a), a)),
% 6.76/6.96 inference(symmetry,[status(thm)],[10192])).
% 6.76/6.96 tff(18249,plain,
% 6.76/6.96 (mult(mult(c, mult(a, a)), b) = mult(mult(mult(c, a), a), b)),
% 6.76/6.96 inference(monotonicity,[status(thm)],[18248])).
% 6.76/6.96 tff(18250,plain,
% 6.76/6.96 (mult(mult(mult(c, a), a), b) = mult(mult(c, mult(a, a)), b)),
% 6.76/6.96 inference(symmetry,[status(thm)],[18249])).
% 6.76/6.96 tff(18251,plain,
% 6.76/6.96 ((mult(mult(mult(c, a), a), b) = mult(mult(c, a), mult(a, b))) <=> (mult(mult(c, mult(a, a)), b) = mult(c, mult(mult(a, a), b)))),
% 6.76/6.96 inference(monotonicity,[status(thm)],[18250, 18247])).
% 6.76/6.96 tff(18252,plain,
% 6.76/6.96 ((mult(mult(c, mult(a, a)), b) = mult(c, mult(mult(a, a), b))) <=> (mult(mult(mult(c, a), a), b) = mult(mult(c, a), mult(a, b)))),
% 6.76/6.96 inference(symmetry,[status(thm)],[18251])).
% 6.76/6.96 tff(18253,plain,
% 6.76/6.96 ((~(mult(mult(mult(c, a), a), b) = mult(mult(c, a), mult(a, b)))) | (~(mult(mult(mult(c, a), b), a) = mult(mult(c, a), mult(b, a))))),
% 6.76/6.96 inference(unit_resolution,[status(thm)],[9036, 10140])).
% 6.76/6.96 tff(18254,plain,
% 6.76/6.96 (~((~(mult(mult(mult(c, a), a), b) = mult(mult(c, a), mult(b, a)))) | (~(mult(mult(mult(c, a), b), a) = mult(mult(c, a), mult(a, b)))))),
% 6.76/6.96 inference(unit_resolution,[status(thm)],[9034, 18253])).
% 6.76/6.96 tff(18255,plain,
% 6.76/6.96 (mult(mult(mult(c, a), b), a) = mult(mult(c, a), mult(a, b))),
% 6.76/6.96 inference(unit_resolution,[status(thm)],[9029, 18254])).
% 6.76/6.96 tff(18256,plain,
% 6.76/6.96 (mult(mult(c, a), mult(b, a)) = mult(c, mult(mult(a, a), b))),
% 6.76/6.96 inference(transitivity,[status(thm)],[4520, 4516, 2808, 18255, 9883, 12554])).
% 6.76/6.96 tff(18257,plain,
% 6.76/6.96 ((mult(mult(mult(c, a), a), b) = mult(mult(c, a), mult(b, a))) <=> (mult(mult(c, mult(a, a)), b) = mult(c, mult(mult(a, a), b)))),
% 6.76/6.96 inference(monotonicity,[status(thm)],[18250, 18256])).
% 6.76/6.96 tff(18258,plain,
% 6.76/6.96 ((mult(mult(mult(c, a), a), b) = mult(mult(c, a), mult(b, a))) <=> (mult(mult(mult(c, a), a), b) = mult(mult(c, a), mult(a, b)))),
% 6.76/6.96 inference(transitivity,[status(thm)],[18257, 18252])).
% 6.76/6.96 tff(18259,plain,
% 6.76/6.96 (mult(mult(mult(c, a), a), b) = mult(mult(c, a), mult(b, a))),
% 6.76/6.96 inference(unit_resolution,[status(thm)],[10316, 18254])).
% 6.76/6.96 tff(18260,plain,
% 6.76/6.96 (mult(mult(mult(c, a), a), b) = mult(mult(c, a), mult(a, b))),
% 6.76/6.96 inference(modus_ponens,[status(thm)],[18259, 18258])).
% 6.76/6.96 tff(18261,plain,
% 6.76/6.96 ($false),
% 6.76/6.96 inference(unit_resolution,[status(thm)],[10140, 18260])).
% 6.76/6.96 tff(18262,plain,((mult(mult(mult(c, a), a), b) = mult(mult(c, a), mult(a, b))) | (~(mult(mult(c, a), mult(a, b)) = mult(c, mult(a, mult(a, b))))) | (~(mult(mult(c, a), mult(b, a)) = mult(c, mult(a, mult(b, a)))))), inference(lemma,lemma(discharge,[]))).
% 6.76/6.96 tff(18263,plain,
% 6.76/6.96 (mult(mult(mult(c, a), a), b) = mult(mult(c, a), mult(a, b))),
% 6.76/6.96 inference(unit_resolution,[status(thm)],[18262, 18017, 18016])).
% 6.76/6.96 tff(18264,plain,
% 6.76/6.96 (mult(mult(mult(c, a), a), b) = mult(mult(c, a), mult(b, a))),
% 6.76/6.96 inference(modus_ponens,[status(thm)],[18263, 18246])).
% 6.76/6.96 tff(18265,plain,
% 6.76/6.96 ((~![C: $i, B: $i, A: $i] : (mult(mult(mult(A, B), C), B) = mult(A, mult(mult(B, C), B)))) | (mult(mult(mult(mult(c, a), a), b), a) = mult(mult(c, a), mult(mult(a, b), a)))),
% 6.76/6.96 inference(quant_inst,[status(thm)],[])).
% 6.76/6.96 tff(18266,plain,
% 6.76/6.96 (mult(mult(mult(mult(c, a), a), b), a) = mult(mult(c, a), mult(mult(a, b), a))),
% 6.76/6.96 inference(unit_resolution,[status(thm)],[18265, 860])).
% 6.76/6.96 tff(18267,assumption,(mult(mult(mult(c, a), a), b) = mult(mult(c, a), mult(b, a))), introduced(assumption)).
% 6.76/6.96 tff(18268,plain,
% 6.76/6.96 (mult(mult(mult(mult(c, a), a), b), a) = mult(mult(mult(c, a), mult(b, a)), a)),
% 6.76/6.96 inference(monotonicity,[status(thm)],[18267])).
% 6.76/6.96 tff(18269,plain,
% 6.76/6.96 (mult(mult(mult(c, a), mult(b, a)), a) = mult(mult(mult(mult(c, a), a), b), a)),
% 6.76/6.96 inference(symmetry,[status(thm)],[18268])).
% 6.76/6.96 tff(18270,plain,
% 6.76/6.96 (mult(c, mult(mult(a, mult(b, a)), a)) = mult(mult(mult(c, a), mult(b, a)), a)),
% 6.76/6.96 inference(symmetry,[status(thm)],[7632])).
% 6.76/6.96 tff(18271,plain,
% 6.76/6.96 (mult(c, mult(mult(a, mult(b, a)), a)) = mult(c, mult(mult(mult(a, b), a), a))),
% 6.76/6.96 inference(monotonicity,[status(thm)],[7619])).
% 6.76/6.96 tff(18272,plain,
% 6.76/6.96 (mult(c, mult(mult(mult(a, b), a), a)) = mult(c, mult(mult(a, mult(b, a)), a))),
% 6.76/6.96 inference(symmetry,[status(thm)],[18271])).
% 6.76/6.96 tff(18273,plain,
% 6.76/6.96 (mult(mult(mult(a, b), a), a) = mult(mult(mult(a, a), b), a)),
% 6.76/6.96 inference(transitivity,[status(thm)],[7618, 7620, 7622, 14004])).
% 6.76/6.96 tff(18274,plain,
% 6.76/6.96 (mult(c, mult(mult(mult(a, b), a), a)) = mult(c, mult(mult(mult(a, a), b), a))),
% 6.76/6.96 inference(monotonicity,[status(thm)],[18273])).
% 6.76/6.96 tff(18275,plain,
% 6.76/6.96 (mult(c, mult(mult(mult(a, a), b), a)) = mult(c, mult(mult(mult(a, b), a), a))),
% 6.76/6.96 inference(symmetry,[status(thm)],[18274])).
% 6.76/6.96 tff(18276,plain,
% 6.76/6.96 (mult(mult(mult(c, a), mult(a, b)), a) = mult(mult(c, a), mult(mult(a, b), a))),
% 6.76/6.96 inference(transitivity,[status(thm)],[7605, 14133, 18275, 18272, 18270, 18269, 18266])).
% 6.76/6.96 tff(18277,assumption,(~(mult(mult(mult(c, a), mult(a, b)), a) = mult(mult(c, a), mult(mult(a, b), a)))), introduced(assumption)).
% 6.76/6.96 tff(18278,plain,
% 6.76/6.96 ($false),
% 6.76/6.96 inference(unit_resolution,[status(thm)],[18277, 18276])).
% 6.76/6.96 tff(18279,plain,((~(mult(mult(a, mult(b, a)), a) = mult(a, mult(a, mult(b, a))))) | (mult(mult(mult(c, a), mult(a, b)), a) = mult(mult(c, a), mult(mult(a, b), a))) | (~(mult(mult(mult(c, a), a), b) = mult(mult(c, a), mult(b, a))))), inference(lemma,lemma(discharge,[]))).
% 6.76/6.96 tff(18280,plain,
% 6.76/6.96 (mult(mult(mult(c, a), mult(a, b)), a) = mult(mult(c, a), mult(mult(a, b), a))),
% 6.76/6.96 inference(unit_resolution,[status(thm)],[18279, 18264, 18182])).
% 6.76/6.96 tff(18281,plain,
% 6.76/6.96 (mult(mult(mult(c, a), b), mult(a, a)) = mult(mult(c, a), mult(mult(a, a), b))),
% 6.76/6.96 inference(modus_ponens,[status(thm)],[18280, 18245])).
% 6.76/6.96 tff(18282,plain,
% 6.76/6.96 ((mult(mult(mult(c, a), b), mult(a, a)) = mult(mult(c, a), mult(mult(a, a), b))) <=> (mult(mult(c, a), mult(mult(a, a), b)) = mult(c, mult(mult(mult(a, a), b), a)))),
% 6.76/6.96 inference(symmetry,[status(thm)],[9358])).
% 6.76/6.96 tff(18283,plain,
% 6.76/6.96 (mult(mult(c, a), mult(mult(a, a), b)) = mult(c, mult(mult(mult(a, a), b), a))),
% 6.76/6.96 inference(modus_ponens,[status(thm)],[10342, 18282])).
% 6.76/6.96 tff(18284,assumption,(~(mult(mult(c, a), mult(mult(a, a), b)) = mult(c, mult(mult(mult(a, a), b), a)))), introduced(assumption)).
% 6.76/6.96 tff(18285,plain,
% 6.76/6.96 ($false),
% 6.76/6.96 inference(unit_resolution,[status(thm)],[18284, 18283])).
% 6.76/6.96 tff(18286,plain,((~(mult(mult(mult(c, a), b), mult(a, a)) = mult(mult(c, a), mult(mult(a, a), b)))) | (mult(mult(c, a), mult(mult(a, a), b)) = mult(c, mult(mult(mult(a, a), b), a))) | (~(mult(mult(c, a), mult(a, b)) = mult(c, mult(mult(a, b), a))))), inference(lemma,lemma(discharge,[]))).
% 6.76/6.96 tff(18287,plain,
% 6.76/6.96 (mult(mult(c, a), mult(mult(a, a), b)) = mult(c, mult(mult(mult(a, a), b), a))),
% 6.76/6.96 inference(unit_resolution,[status(thm)],[18286, 18281, 18212])).
% 6.76/6.96 tff(18288,plain,
% 6.76/6.96 (mult(mult(mult(mult(c, a), b), mult(a, a)), b) = mult(mult(mult(c, a), b), mult(b, mult(a, a)))),
% 6.76/6.96 inference(unit_resolution,[status(thm)],[9429, 18287, 18212])).
% 6.76/6.96 tff(18289,plain,
% 6.76/6.96 (mult(mult(mult(c, a), b), mult(b, mult(a, a))) = mult(mult(mult(mult(c, a), b), mult(a, a)), b)),
% 6.76/6.96 inference(symmetry,[status(thm)],[18288])).
% 6.76/6.96 tff(18290,plain,
% 6.76/6.96 (mult(mult(mult(c, a), b), mult(mult(b, a), a)) = mult(mult(mult(c, a), b), mult(mult(a, b), a))),
% 6.76/6.96 inference(monotonicity,[status(thm)],[18202])).
% 6.76/6.96 tff(18291,plain,
% 6.76/6.96 (mult(mult(mult(c, a), b), mult(mult(a, b), a)) = mult(mult(mult(c, a), b), mult(mult(b, a), a))),
% 6.76/6.96 inference(symmetry,[status(thm)],[18290])).
% 6.76/6.96 tff(18292,plain,
% 6.76/6.96 (mult(mult(b, a), b) = mult(mult(a, b), b)),
% 6.76/6.96 inference(monotonicity,[status(thm)],[18010])).
% 6.76/6.96 tff(18293,plain,
% 6.76/6.96 (mult(mult(b, a), b) = mult(a, mult(b, b))),
% 6.76/6.96 inference(transitivity,[status(thm)],[18292, 8548])).
% 6.76/6.96 tff(18294,plain,
% 6.76/6.96 (mult(mult(c, a), mult(mult(b, a), b)) = mult(mult(c, a), mult(a, mult(b, b)))),
% 6.76/6.96 inference(monotonicity,[status(thm)],[18293])).
% 6.76/6.96 tff(18295,plain,
% 6.76/6.96 (mult(mult(c, a), mult(a, mult(b, b))) = mult(mult(c, a), mult(mult(b, a), b))),
% 6.76/6.96 inference(symmetry,[status(thm)],[18294])).
% 6.76/6.96 tff(18296,plain,
% 6.76/6.96 (mult(mult(c, a), mult(a, mult(b, b))) = mult(mult(mult(mult(c, a), b), a), b)),
% 6.76/6.96 inference(transitivity,[status(thm)],[18295, 4257])).
% 6.76/6.96 tff(18297,plain,
% 6.76/6.96 (mult(mult(mult(c, a), mult(a, mult(b, b))), a) = mult(mult(mult(mult(mult(c, a), b), a), b), a)),
% 6.76/6.96 inference(monotonicity,[status(thm)],[18296])).
% 6.76/6.96 tff(18298,plain,
% 6.76/6.96 (mult(mult(mult(c, a), a), b) = mult(c, mult(mult(a, b), a))),
% 6.76/6.96 inference(transitivity,[status(thm)],[18263, 18212])).
% 6.76/6.96 tff(18299,plain,
% 6.76/6.96 (mult(mult(mult(mult(c, a), a), b), b) = mult(mult(c, mult(mult(a, b), a)), b)),
% 6.76/6.96 inference(monotonicity,[status(thm)],[18298])).
% 6.76/6.96 tff(18300,plain,
% 6.76/6.96 (mult(mult(mult(c, a), a), mult(b, b)) = mult(mult(mult(mult(c, a), a), b), b)),
% 6.76/6.96 inference(symmetry,[status(thm)],[10112])).
% 6.76/6.96 tff(18301,plain,
% 6.76/6.96 (mult(mult(mult(c, a), a), mult(b, b)) = mult(mult(c, a), mult(a, mult(b, b)))),
% 6.76/6.96 inference(transitivity,[status(thm)],[18300, 18299, 4321, 4256, 18294])).
% 6.76/6.96 tff(18302,plain,
% 6.76/6.96 (mult(mult(mult(mult(c, a), a), mult(b, b)), a) = mult(mult(mult(c, a), mult(a, mult(b, b))), a)),
% 6.76/6.96 inference(monotonicity,[status(thm)],[18301])).
% 6.76/6.96 tff(18303,plain,
% 6.76/6.96 (mult(mult(a, b), b) = mult(mult(b, a), b)),
% 6.76/6.96 inference(symmetry,[status(thm)],[18292])).
% 6.76/6.96 tff(18304,plain,
% 6.76/6.96 (mult(a, mult(b, b)) = mult(mult(b, a), b)),
% 6.76/6.96 inference(transitivity,[status(thm)],[8549, 18303])).
% 6.76/6.96 tff(18305,plain,
% 6.76/6.96 (mult(mult(a, mult(b, b)), a) = mult(mult(mult(b, a), b), a)),
% 6.76/6.96 inference(monotonicity,[status(thm)],[18304])).
% 6.76/6.96 tff(18306,plain,
% 6.76/6.96 (mult(mult(mult(b, a), b), a) = mult(mult(a, mult(b, b)), a)),
% 6.76/6.96 inference(symmetry,[status(thm)],[18305])).
% 6.76/6.96 tff(18307,plain,
% 6.76/6.96 (mult(b, mult(mult(a, a), b)) = mult(b, mult(mult(a, b), a))),
% 6.76/6.96 inference(monotonicity,[status(thm)],[18006])).
% 6.76/6.96 tff(18308,plain,
% 6.76/6.96 (mult(b, mult(mult(a, a), b)) = mult(mult(a, mult(b, b)), a)),
% 6.76/6.96 inference(transitivity,[status(thm)],[18307, 10366, 18306])).
% 6.76/6.96 tff(18309,plain,
% 6.76/6.96 (mult(mult(c, a), mult(b, mult(mult(a, a), b))) = mult(mult(c, a), mult(mult(a, mult(b, b)), a))),
% 6.76/6.96 inference(monotonicity,[status(thm)],[18308])).
% 6.76/6.96 tff(18310,plain,
% 6.76/6.96 (mult(b, mult(mult(a, b), a)) = mult(b, mult(mult(a, a), b))),
% 6.76/6.96 inference(symmetry,[status(thm)],[18307])).
% 6.76/6.96 tff(18311,plain,
% 6.76/6.96 (mult(mult(c, a), mult(b, mult(mult(a, b), a))) = mult(mult(c, a), mult(b, mult(mult(a, a), b)))),
% 6.76/6.96 inference(monotonicity,[status(thm)],[18310])).
% 6.76/6.96 tff(18312,plain,
% 6.76/6.96 (mult(mult(c, a), mult(b, mult(mult(a, b), a))) = mult(mult(c, a), mult(mult(mult(a, a), b), b))),
% 6.76/6.96 inference(transitivity,[status(thm)],[18311, 18309, 10086, 18302, 18297, 4212, 18291, 9363, 18289, 4440, 18207])).
% 6.76/6.96 tff(18313,plain,
% 6.76/6.96 (ld(mult(c, a), mult(mult(c, a), mult(b, mult(mult(a, b), a)))) = ld(mult(c, a), mult(mult(c, a), mult(mult(mult(a, a), b), b)))),
% 6.76/6.96 inference(monotonicity,[status(thm)],[18312])).
% 6.76/6.96 tff(18314,plain,
% 6.76/6.96 ((~![B: $i, A: $i] : (ld(A, mult(A, B)) = B)) | (ld(mult(c, a), mult(mult(c, a), mult(b, mult(mult(a, b), a)))) = mult(b, mult(mult(a, b), a)))),
% 6.76/6.96 inference(quant_inst,[status(thm)],[])).
% 6.76/6.96 tff(18315,plain,
% 6.76/6.96 (ld(mult(c, a), mult(mult(c, a), mult(b, mult(mult(a, b), a)))) = mult(b, mult(mult(a, b), a))),
% 6.76/6.96 inference(unit_resolution,[status(thm)],[18314, 9])).
% 6.76/6.96 tff(18316,plain,
% 6.76/6.96 (mult(b, mult(mult(a, b), a)) = ld(mult(c, a), mult(mult(c, a), mult(b, mult(mult(a, b), a))))),
% 6.76/6.96 inference(symmetry,[status(thm)],[18315])).
% 6.76/6.96 tff(18317,plain,
% 6.76/6.96 (mult(mult(mult(b, a), b), a) = mult(mult(mult(b, a), a), b)),
% 6.76/6.96 inference(transitivity,[status(thm)],[10365, 18316, 18313, 9735, 18205, 12512])).
% 6.76/6.96 tff(18318,plain,
% 6.76/6.96 ((mult(mult(mult(b, a), b), a) = mult(mult(b, a), mult(b, a))) <=> (mult(mult(mult(b, a), a), b) = mult(mult(b, a), mult(b, a)))),
% 6.76/6.96 inference(monotonicity,[status(thm)],[18317])).
% 6.76/6.96 tff(18319,plain,
% 6.76/6.96 ((mult(mult(mult(b, a), a), b) = mult(mult(b, a), mult(b, a))) <=> (mult(mult(mult(b, a), b), a) = mult(mult(b, a), mult(b, a)))),
% 6.76/6.96 inference(symmetry,[status(thm)],[18318])).
% 6.76/6.96 tff(18320,plain,
% 6.76/6.96 (mult(mult(c, a), mult(b, mult(mult(a, a), b))) = mult(mult(c, a), mult(mult(mult(a, a), b), b))),
% 6.76/6.96 inference(transitivity,[status(thm)],[18309, 10086, 18302, 18297, 4212, 18291, 9363, 18289, 4440, 18207])).
% 6.76/6.96 tff(18321,plain,
% 6.76/6.96 ((mult(mult(mult(c, a), mult(mult(a, a), b)), b) = mult(mult(c, a), mult(b, mult(mult(a, a), b)))) <=> (mult(mult(mult(c, a), mult(mult(a, a), b)), b) = mult(mult(c, a), mult(mult(mult(a, a), b), b)))),
% 6.76/6.96 inference(monotonicity,[status(thm)],[18320])).
% 6.76/6.96 tff(18322,plain,
% 6.76/6.96 ((mult(mult(mult(c, a), mult(mult(a, a), b)), b) = mult(mult(c, a), mult(mult(mult(a, a), b), b))) <=> (mult(mult(mult(c, a), mult(mult(a, a), b)), b) = mult(mult(c, a), mult(b, mult(mult(a, a), b))))),
% 6.76/6.96 inference(symmetry,[status(thm)],[18321])).
% 6.76/6.96 tff(18323,plain,
% 6.76/6.96 (mult(mult(a, b), a) = mult(mult(b, a), a)),
% 6.76/6.96 inference(symmetry,[status(thm)],[18202])).
% 6.76/6.96 tff(18324,plain,
% 6.76/6.96 (mult(mult(a, b), a) = mult(b, mult(a, a))),
% 6.76/6.96 inference(transitivity,[status(thm)],[18323, 4602])).
% 6.76/6.96 tff(18325,plain,
% 6.76/6.96 (mult(mult(mult(a, b), a), b) = mult(mult(b, mult(a, a)), b)),
% 6.76/6.96 inference(monotonicity,[status(thm)],[18324])).
% 6.76/6.96 tff(18326,plain,
% 6.76/6.96 (mult(a, mult(a, mult(b, b))) = mult(a, mult(mult(b, a), b))),
% 6.76/6.96 inference(monotonicity,[status(thm)],[18304])).
% 6.76/6.96 tff(18327,plain,
% 6.76/6.96 (mult(a, mult(a, mult(b, b))) = mult(mult(mult(a, a), b), b)),
% 6.76/6.96 inference(transitivity,[status(thm)],[18326, 9917, 18325, 18204])).
% 6.76/6.96 tff(18328,plain,
% 6.76/6.96 (mult(mult(c, a), mult(a, mult(a, mult(b, b)))) = mult(mult(c, a), mult(mult(mult(a, a), b), b))),
% 6.76/6.96 inference(monotonicity,[status(thm)],[18327])).
% 6.76/6.96 tff(18329,plain,
% 6.76/6.96 (mult(mult(c, a), mult(mult(a, b), a)) = mult(mult(c, a), mult(mult(a, a), b))),
% 6.76/6.96 inference(symmetry,[status(thm)],[18217])).
% 6.76/6.96 tff(18330,plain,
% 6.76/6.96 (mult(mult(mult(mult(c, a), a), b), a) = mult(mult(c, a), mult(mult(a, a), b))),
% 6.76/6.96 inference(transitivity,[status(thm)],[18266, 18329])).
% 6.76/6.96 tff(18331,plain,
% 6.76/6.96 (mult(mult(mult(mult(mult(c, a), a), b), a), b) = mult(mult(mult(c, a), mult(mult(a, a), b)), b)),
% 6.76/6.96 inference(monotonicity,[status(thm)],[18330])).
% 6.76/6.96 tff(18332,plain,
% 6.76/6.96 ((~![C: $i, B: $i, A: $i] : (mult(mult(mult(A, B), C), B) = mult(A, mult(mult(B, C), B)))) | (mult(mult(mult(mult(mult(c, a), a), b), a), b) = mult(mult(mult(c, a), a), mult(mult(b, a), b)))),
% 6.76/6.96 inference(quant_inst,[status(thm)],[])).
% 6.76/6.96 tff(18333,plain,
% 6.76/6.96 (mult(mult(mult(mult(mult(c, a), a), b), a), b) = mult(mult(mult(c, a), a), mult(mult(b, a), b))),
% 6.76/6.96 inference(unit_resolution,[status(thm)],[18332, 860])).
% 6.76/6.96 tff(18334,plain,
% 6.76/6.96 (mult(mult(mult(c, a), a), mult(mult(b, a), b)) = mult(mult(mult(mult(mult(c, a), a), b), a), b)),
% 6.76/6.96 inference(symmetry,[status(thm)],[18333])).
% 6.76/6.96 tff(18335,plain,
% 6.76/6.96 (mult(mult(mult(c, a), a), mult(a, mult(b, b))) = mult(mult(mult(c, a), a), mult(mult(b, a), b))),
% 6.76/6.96 inference(monotonicity,[status(thm)],[18304])).
% 6.76/6.96 tff(18336,plain,
% 6.76/6.96 (mult(mult(mult(c, a), a), mult(a, mult(b, b))) = mult(mult(mult(c, a), mult(mult(a, a), b)), b)),
% 6.76/6.96 inference(transitivity,[status(thm)],[18335, 18334, 18331])).
% 6.76/6.96 tff(18337,plain,
% 6.76/6.96 ((mult(mult(mult(c, a), a), mult(a, mult(b, b))) = mult(mult(c, a), mult(a, mult(a, mult(b, b))))) <=> (mult(mult(mult(c, a), mult(mult(a, a), b)), b) = mult(mult(c, a), mult(mult(mult(a, a), b), b)))),
% 6.76/6.96 inference(monotonicity,[status(thm)],[18336, 18328])).
% 6.76/6.96 tff(18338,plain,
% 6.76/6.96 ((mult(mult(mult(c, a), a), mult(a, mult(b, b))) = mult(mult(c, a), mult(a, mult(a, mult(b, b))))) <=> (mult(mult(mult(c, a), mult(mult(a, a), b)), b) = mult(mult(c, a), mult(b, mult(mult(a, a), b))))),
% 6.76/6.96 inference(transitivity,[status(thm)],[18337, 18322])).
% 6.76/6.96 tff(18339,plain,
% 6.76/6.96 (mult(mult(c, a), mult(mult(mult(a, a), b), b)) = mult(mult(c, a), mult(a, mult(a, mult(b, b))))),
% 6.76/6.96 inference(symmetry,[status(thm)],[18328])).
% 6.76/6.96 tff(18340,plain,
% 6.76/6.96 (mult(mult(c, mult(a, b)), mult(a, a)) = mult(mult(mult(c, a), b), mult(a, a))),
% 6.76/6.96 inference(symmetry,[status(thm)],[18241])).
% 6.76/6.96 tff(18341,plain,
% 6.76/6.96 (mult(mult(c, mult(mult(a, b), a)), a) = mult(mult(mult(c, mult(a, b)), a), a)),
% 6.76/6.96 inference(symmetry,[status(thm)],[18225])).
% 6.76/6.96 tff(18342,plain,
% 6.76/6.96 (mult(mult(c, mult(mult(a, b), a)), a) = mult(mult(mult(c, a), b), mult(a, a))),
% 6.76/6.97 inference(transitivity,[status(thm)],[18341, 18238, 18340])).
% 6.76/6.97 tff(18343,plain,
% 6.76/6.97 (mult(mult(mult(c, mult(mult(a, b), a)), a), b) = mult(mult(mult(mult(c, a), b), mult(a, a)), b)),
% 6.76/6.97 inference(monotonicity,[status(thm)],[18342])).
% 6.76/6.97 tff(18344,plain,
% 6.76/6.97 (mult(mult(mult(mult(c, a), a), b), a) = mult(mult(c, mult(mult(a, b), a)), a)),
% 6.76/6.97 inference(monotonicity,[status(thm)],[18298])).
% 6.76/6.97 tff(18345,plain,
% 6.76/6.97 (mult(mult(c, a), mult(mult(a, b), a)) = mult(mult(mult(mult(c, a), a), b), a)),
% 6.76/6.97 inference(symmetry,[status(thm)],[18266])).
% 6.76/6.97 tff(18346,plain,
% 6.76/6.97 (mult(mult(c, a), mult(mult(a, a), b)) = mult(mult(c, mult(mult(a, b), a)), a)),
% 6.76/6.97 inference(transitivity,[status(thm)],[18217, 18345, 18344])).
% 6.76/6.97 tff(18347,plain,
% 6.76/6.97 (mult(mult(mult(c, a), mult(mult(a, a), b)), b) = mult(mult(mult(c, mult(mult(a, b), a)), a), b)),
% 6.76/6.97 inference(monotonicity,[status(thm)],[18346])).
% 6.76/6.97 tff(18348,plain,
% 6.76/6.97 (mult(mult(mult(c, a), a), mult(a, mult(b, b))) = mult(mult(c, a), mult(a, mult(a, mult(b, b))))),
% 6.76/6.97 inference(transitivity,[status(thm)],[18335, 18334, 18331, 18347, 18343, 4440, 18207, 18339])).
% 6.76/6.97 tff(18349,plain,
% 6.76/6.97 (mult(mult(mult(c, a), mult(mult(a, a), b)), b) = mult(mult(c, a), mult(b, mult(mult(a, a), b)))),
% 6.76/6.97 inference(modus_ponens,[status(thm)],[18348, 18338])).
% 6.76/6.97 tff(18350,plain,
% 6.76/6.97 (mult(mult(mult(b, a), a), b) = mult(mult(b, a), mult(b, a))),
% 6.76/6.97 inference(unit_resolution,[status(thm)],[10392, 18349, 18182, 18281])).
% 6.76/6.97 tff(18351,plain,
% 6.76/6.97 (mult(mult(mult(b, a), b), a) = mult(mult(b, a), mult(b, a))),
% 6.76/6.97 inference(modus_ponens,[status(thm)],[18350, 18319])).
% 6.76/6.97 tff(18352,plain,
% 6.76/6.97 ((~(mult(mult(mult(b, a), mult(mult(c, a), b)), a) = mult(mult(b, a), mult(mult(mult(c, a), b), a)))) | (mult(mult(mult(b, a), mult(a, c)), mult(b, a)) = mult(mult(b, a), mult(mult(a, c), mult(b, a)))) | (~(mult(mult(mult(b, a), c), mult(mult(a, b), a)) = mult(mult(b, a), mult(c, mult(mult(a, b), a))))) | (~(mult(mult(a, c), mult(mult(a, b), a)) = mult(a, mult(c, mult(mult(a, b), a)))))),
% 6.76/6.97 inference(unit_resolution,[status(thm)],[17411, 18351, 18029, 18150, 17990])).
% 6.76/6.97 tff(18353,plain,
% 6.76/6.97 (~(mult(mult(mult(b, a), mult(mult(c, a), b)), a) = mult(mult(b, a), mult(mult(mult(c, a), b), a)))),
% 6.76/6.97 inference(unit_resolution,[status(thm)],[18352, 18201, 18031, 11394])).
% 6.76/6.97 tff(18354,plain,
% 6.76/6.97 (mult(mult(mult(a, c), mult(b, a)), a) = mult(mult(mult(a, c), mult(a, b)), a)),
% 6.76/6.97 inference(transitivity,[status(thm)],[18065, 18062])).
% 6.76/6.97 tff(18355,plain,
% 6.76/6.97 ((mult(mult(mult(a, c), mult(b, a)), a) = mult(mult(a, c), mult(a, mult(b, a)))) <=> (mult(mult(mult(a, c), mult(a, b)), a) = mult(mult(a, c), mult(mult(a, b), a)))),
% 6.76/6.97 inference(monotonicity,[status(thm)],[18354, 10731])).
% 6.76/6.97 tff(18356,plain,
% 6.76/6.97 ((mult(mult(mult(a, c), mult(a, b)), a) = mult(mult(a, c), mult(mult(a, b), a))) <=> (mult(mult(mult(a, c), mult(b, a)), a) = mult(mult(a, c), mult(a, mult(b, a))))),
% 6.76/6.97 inference(symmetry,[status(thm)],[18355])).
% 6.76/6.97 tff(18357,plain,
% 6.76/6.97 (mult(mult(mult(a, c), mult(b, a)), a) = mult(mult(a, c), mult(a, mult(b, a)))),
% 6.76/6.97 inference(modus_ponens,[status(thm)],[18055, 18356])).
% 6.76/6.97 tff(18358,plain,
% 6.76/6.97 ((mult(mult(mult(b, a), mult(mult(c, a), b)), a) = mult(mult(b, a), mult(mult(mult(c, a), b), a))) | (~(mult(mult(b, mult(mult(a, c), a)), mult(a, b)) = mult(b, mult(mult(mult(a, c), a), mult(a, b))))) | (~(mult(mult(mult(b, a), c), mult(mult(a, b), a)) = mult(mult(b, a), mult(c, mult(mult(a, b), a)))))),
% 6.76/6.97 inference(unit_resolution,[status(thm)],[12111, 18357, 18057, 17988, 18043, 18028])).
% 6.76/6.97 tff(18359,plain,
% 6.76/6.97 ($false),
% 6.76/6.97 inference(unit_resolution,[status(thm)],[18358, 18353, 18060, 11394])).
% 6.76/6.97 tff(18360,plain,(~(mult(mult(mult(b, a), c), mult(mult(a, b), a)) = mult(mult(b, a), mult(c, mult(mult(a, b), a))))), inference(lemma,lemma(discharge,[]))).
% 6.76/6.97 tff(18361,plain,
% 6.76/6.97 ((~(mult(mult(mult(b, a), mult(mult(a, b), a)), c) = mult(mult(b, a), mult(mult(mult(a, b), a), c)))) | (~(mult(mult(mult(b, a), c), mult(mult(a, b), a)) = mult(mult(b, a), mult(c, mult(mult(a, b), a)))))),
% 6.76/6.97 inference(unit_resolution,[status(thm)],[11230, 18360])).
% 6.76/6.97 tff(18362,plain,
% 6.76/6.97 (~((~(mult(mult(mult(b, a), mult(mult(a, b), a)), c) = mult(mult(b, a), mult(c, mult(mult(a, b), a))))) | (~(mult(mult(mult(b, a), c), mult(mult(a, b), a)) = mult(mult(b, a), mult(mult(mult(a, b), a), c)))))),
% 6.76/6.97 inference(unit_resolution,[status(thm)],[11235, 18361])).
% 6.76/6.97 tff(18363,plain,
% 6.76/6.97 (mult(mult(mult(b, a), c), mult(mult(a, b), a)) = mult(mult(b, a), mult(mult(mult(a, b), a), c))),
% 6.76/6.97 inference(unit_resolution,[status(thm)],[11237, 18362])).
% 6.76/6.97 tff(18364,plain,
% 6.76/6.97 (mult(mult(mult(a, b), c), a) = mult(mult(a, b), mult(a, c))),
% 6.76/6.97 inference(transitivity,[status(thm)],[17997, 3532, 3530, 17994])).
% 6.76/6.97 tff(18365,plain,
% 6.76/6.97 ((mult(a, mult(b, mult(c, a))) = mult(mult(mult(a, b), c), a)) <=> (mult(mult(mult(a, b), a), c) = mult(mult(a, b), mult(a, c)))),
% 6.76/6.97 inference(monotonicity,[status(thm)],[18141, 18364])).
% 6.76/6.97 tff(18366,plain,
% 6.76/6.97 ((~(mult(a, mult(b, mult(c, a))) = mult(mult(mult(a, b), c), a))) <=> (~(mult(mult(mult(a, b), a), c) = mult(mult(a, b), mult(a, c))))),
% 6.76/6.97 inference(monotonicity,[status(thm)],[18365])).
% 6.76/6.97 tff(18367,plain,
% 6.76/6.97 (~(mult(mult(mult(a, b), a), c) = mult(mult(a, b), mult(a, c)))),
% 6.76/6.97 inference(modus_ponens,[status(thm)],[194, 18366])).
% 6.76/6.97 tff(18368,plain,
% 6.76/6.97 ((~(mult(mult(mult(b, a), c), mult(mult(a, b), a)) = mult(mult(b, a), mult(mult(mult(a, b), a), c)))) | (~(mult(mult(mult(b, a), mult(a, c)), mult(a, b)) = mult(mult(b, a), mult(mult(a, b), mult(a, c)))))),
% 6.76/6.97 inference(unit_resolution,[status(thm)],[17602, 18028, 18367, 18364])).
% 6.76/6.97 tff(18369,plain,
% 6.76/6.97 (~(mult(mult(mult(b, a), mult(a, c)), mult(a, b)) = mult(mult(b, a), mult(mult(a, b), mult(a, c))))),
% 6.76/6.97 inference(unit_resolution,[status(thm)],[18368, 18363])).
% 6.76/6.97 tff(18370,plain,
% 6.76/6.97 (~(mult(mult(mult(b, a), mult(a, c)), mult(b, a)) = mult(mult(b, a), mult(mult(b, a), mult(a, c))))),
% 6.76/6.97 inference(modus_ponens,[status(thm)],[18369, 17978])).
% 6.76/6.97 tff(18371,plain,
% 6.76/6.97 (mult(mult(mult(b, a), mult(a, c)), a) = mult(mult(mult(b, mult(c, a)), a), a)),
% 6.76/6.97 inference(monotonicity,[status(thm)],[7889])).
% 6.76/6.97 tff(18372,plain,
% 6.76/6.97 (mult(mult(mult(b, mult(c, a)), a), a) = mult(mult(mult(b, a), mult(a, c)), a)),
% 6.76/6.97 inference(symmetry,[status(thm)],[18371])).
% 6.76/6.97 tff(18373,plain,
% 6.76/6.97 (mult(c, mult(b, a)) = mult(mult(c, a), b)),
% 6.76/6.97 inference(symmetry,[status(thm)],[18043])).
% 6.76/6.97 tff(18374,plain,
% 6.76/6.97 (mult(c, mult(a, b)) = mult(c, mult(b, a))),
% 6.76/6.97 inference(symmetry,[status(thm)],[18040])).
% 6.76/6.97 tff(18375,plain,
% 6.76/6.97 ((mult(mult(mult(b, a), mult(a, c)), mult(b, a)) = mult(mult(b, a), mult(mult(b, a), mult(a, c)))) | (mult(mult(a, mult(b, a)), c) = mult(a, mult(c, mult(b, a))))),
% 6.76/6.97 inference(unit_resolution,[status(thm)],[11247, 18043, 18039, 17988, 18057, 18357, 18001, 18351])).
% 6.76/6.97 tff(18376,plain,
% 6.76/6.97 (mult(mult(a, mult(b, a)), c) = mult(a, mult(c, mult(b, a)))),
% 6.76/6.97 inference(unit_resolution,[status(thm)],[18375, 11136])).
% 6.76/6.97 tff(18377,plain,
% 6.76/6.97 (mult(a, mult(b, mult(c, a))) = mult(a, mult(mult(c, b), a))),
% 6.76/6.97 inference(transitivity,[status(thm)],[13277, 18129, 18376, 17989, 18067, 18066, 8184])).
% 6.76/6.97 tff(18378,plain,
% 6.76/6.97 (ld(a, mult(a, mult(b, mult(c, a)))) = ld(a, mult(a, mult(mult(c, b), a)))),
% 6.76/6.97 inference(monotonicity,[status(thm)],[18377])).
% 6.76/6.97 tff(18379,plain,
% 6.76/6.97 (mult(b, mult(c, a)) = mult(mult(c, a), b)),
% 6.76/6.97 inference(transitivity,[status(thm)],[2419, 18378, 18173, 667, 18374, 18373])).
% 6.76/6.97 tff(18380,plain,
% 6.76/6.97 (mult(mult(b, mult(c, a)), mult(a, a)) = mult(mult(mult(c, a), b), mult(a, a))),
% 6.76/6.97 inference(monotonicity,[status(thm)],[18379])).
% 6.76/6.97 tff(18381,plain,
% 6.76/6.97 (mult(mult(mult(c, a), b), mult(a, a)) = mult(mult(b, mult(c, a)), mult(a, a))),
% 6.76/6.97 inference(symmetry,[status(thm)],[18380])).
% 6.76/6.97 tff(18382,plain,
% 6.76/6.97 (mult(mult(c, a), mult(mult(a, b), a)) = mult(mult(mult(b, a), mult(a, c)), a)),
% 6.76/6.97 inference(transitivity,[status(thm)],[18345, 18344, 18341, 18238, 18340, 18381, 12459, 18372])).
% 6.76/6.97 tff(18383,plain,
% 6.76/6.97 (mult(b, mult(mult(c, a), mult(mult(a, b), a))) = mult(b, mult(mult(mult(b, a), mult(a, c)), a))),
% 6.76/6.97 inference(monotonicity,[status(thm)],[18382])).
% 6.76/6.97 tff(18384,plain,
% 6.76/6.97 (mult(mult(c, mult(mult(a, b), a)), a) = mult(mult(mult(mult(c, a), a), b), a)),
% 6.76/6.97 inference(symmetry,[status(thm)],[18344])).
% 6.76/6.97 tff(18385,plain,
% 6.76/6.97 (mult(mult(a, b), mult(a, mult(a, c))) = mult(mult(b, a), mult(a, mult(a, c)))),
% 6.76/6.97 inference(monotonicity,[status(thm)],[17973])).
% 6.76/6.97 tff(18386,plain,
% 6.76/6.97 (mult(mult(mult(a, b), mult(a, c)), a) = mult(mult(mult(b, a), mult(a, c)), a)),
% 6.76/6.97 inference(monotonicity,[status(thm)],[17974])).
% 6.76/6.97 tff(18387,plain,
% 6.76/6.97 ((mult(mult(mult(a, b), mult(a, c)), a) = mult(mult(a, b), mult(a, mult(a, c)))) <=> (mult(mult(mult(b, a), mult(a, c)), a) = mult(mult(b, a), mult(a, mult(a, c))))),
% 6.76/6.97 inference(monotonicity,[status(thm)],[18386, 18385])).
% 6.76/6.97 tff(18388,plain,
% 6.76/6.97 (mult(mult(mult(b, a), mult(a, c)), a) = mult(mult(b, a), mult(a, mult(a, c)))),
% 6.76/6.97 inference(modus_ponens,[status(thm)],[16003, 18387])).
% 6.76/6.97 tff(18389,plain,
% 6.76/6.97 (mult(mult(b, a), mult(a, mult(a, c))) = mult(mult(mult(b, a), mult(a, c)), a)),
% 6.76/6.97 inference(symmetry,[status(thm)],[18388])).
% 6.76/6.97 tff(18390,plain,
% 6.76/6.97 (mult(a, mult(b, mult(a, mult(a, c)))) = mult(mult(a, b), mult(a, mult(a, c)))),
% 6.76/6.97 inference(symmetry,[status(thm)],[18089])).
% 6.76/6.97 tff(18391,plain,
% 6.76/6.97 ((mult(mult(mult(a, c), b), a) = mult(mult(a, c), mult(a, b))) <=> (mult(mult(mult(a, c), b), a) = mult(mult(a, c), mult(b, a)))),
% 6.76/6.97 inference(monotonicity,[status(thm)],[17979])).
% 6.76/6.97 tff(18392,plain,
% 6.76/6.97 ((mult(mult(mult(a, c), b), a) = mult(mult(a, c), mult(b, a))) <=> (mult(mult(mult(a, c), b), a) = mult(mult(a, c), mult(a, b)))),
% 6.76/6.97 inference(symmetry,[status(thm)],[18391])).
% 6.76/6.97 tff(18393,plain,
% 6.76/6.97 (mult(mult(mult(a, c), b), a) = mult(mult(a, c), mult(a, b))),
% 6.76/6.97 inference(modus_ponens,[status(thm)],[17981, 18392])).
% 6.76/6.97 tff(18394,plain,
% 6.76/6.97 (mult(mult(mult(mult(b, a), mult(a, c)), a), b) = mult(mult(mult(b, a), mult(a, c)), mult(b, a))),
% 6.76/6.97 inference(unit_resolution,[status(thm)],[8401, 18393, 17982])).
% 6.76/6.97 tff(18395,plain,
% 6.76/6.97 (mult(mult(mult(b, a), mult(a, mult(a, c))), b) = mult(mult(mult(mult(b, a), mult(a, c)), a), b)),
% 6.76/6.97 inference(monotonicity,[status(thm)],[18389])).
% 6.76/6.97 tff(18396,plain,
% 6.76/6.97 ((mult(mult(mult(b, a), mult(a, c)), a) = mult(mult(b, a), mult(a, mult(a, c)))) <=> (mult(mult(b, a), mult(a, mult(a, c))) = mult(b, mult(mult(a, mult(a, c)), a)))),
% 6.76/6.97 inference(symmetry,[status(thm)],[11356])).
% 6.76/6.97 tff(18397,plain,
% 6.76/6.97 ((mult(mult(mult(a, b), mult(a, c)), a) = mult(mult(a, b), mult(a, mult(a, c)))) <=> (mult(mult(b, a), mult(a, mult(a, c))) = mult(b, mult(mult(a, mult(a, c)), a)))),
% 6.76/6.97 inference(transitivity,[status(thm)],[18387, 18396])).
% 6.76/6.97 tff(18398,plain,
% 6.76/6.97 (mult(mult(b, a), mult(a, mult(a, c))) = mult(b, mult(mult(a, mult(a, c)), a))),
% 6.76/6.97 inference(modus_ponens,[status(thm)],[16003, 18397])).
% 6.76/6.97 tff(18399,plain,
% 6.76/6.97 ((~(mult(mult(mult(b, a), mult(a, mult(a, c))), b) = mult(mult(b, a), mult(mult(a, mult(a, c)), b)))) | (~(mult(mult(mult(b, a), mult(a, c)), mult(b, a)) = mult(mult(b, a), mult(mult(a, c), mult(b, a)))))),
% 6.76/6.97 inference(unit_resolution,[status(thm)],[11386, 18043, 18394, 18398, 18081, 17988, 18003])).
% 6.76/6.97 tff(18400,plain,
% 6.76/6.97 (~(mult(mult(mult(b, a), mult(a, mult(a, c))), b) = mult(mult(b, a), mult(mult(a, mult(a, c)), b)))),
% 6.76/6.97 inference(unit_resolution,[status(thm)],[18399, 11152])).
% 6.76/6.97 tff(18401,plain,
% 6.76/6.97 ((~(mult(mult(mult(b, a), b), mult(a, mult(a, c))) = mult(mult(b, a), mult(b, mult(a, mult(a, c)))))) | (~(mult(mult(mult(b, a), mult(a, mult(a, c))), b) = mult(mult(b, a), mult(mult(a, mult(a, c)), b))))),
% 6.76/6.97 inference(unit_resolution,[status(thm)],[11434, 18400])).
% 6.76/6.97 tff(18402,plain,
% 6.76/6.97 (~((~(mult(mult(mult(b, a), b), mult(a, mult(a, c))) = mult(mult(b, a), mult(mult(a, mult(a, c)), b)))) | (~(mult(mult(mult(b, a), mult(a, mult(a, c))), b) = mult(mult(b, a), mult(b, mult(a, mult(a, c)))))))),
% 6.76/6.97 inference(unit_resolution,[status(thm)],[11442, 18401])).
% 6.76/6.97 tff(18403,plain,
% 6.76/6.97 (mult(mult(mult(b, a), mult(a, mult(a, c))), b) = mult(mult(b, a), mult(b, mult(a, mult(a, c))))),
% 6.76/6.97 inference(unit_resolution,[status(thm)],[11444, 18402])).
% 6.76/6.97 tff(18404,plain,
% 6.76/6.97 (mult(mult(b, a), mult(b, mult(a, mult(a, c)))) = mult(mult(mult(b, a), mult(a, mult(a, c))), b)),
% 6.76/6.97 inference(symmetry,[status(thm)],[18403])).
% 6.76/6.97 tff(18405,plain,
% 6.76/6.97 (mult(mult(b, a), mult(b, mult(a, mult(a, c)))) = mult(mult(b, a), mult(mult(mult(a, b), a), c))),
% 6.76/6.97 inference(transitivity,[status(thm)],[18404, 18395, 18394, 18018, 18037, 18036, 4198, 11610, 18363])).
% 6.76/6.97 tff(18406,plain,
% 6.76/6.97 (ld(mult(b, a), mult(mult(b, a), mult(b, mult(a, mult(a, c))))) = ld(mult(b, a), mult(mult(b, a), mult(mult(mult(a, b), a), c)))),
% 6.76/6.97 inference(monotonicity,[status(thm)],[18405])).
% 6.76/6.97 tff(18407,plain,
% 6.76/6.97 (ld(mult(b, a), mult(mult(b, a), mult(mult(mult(a, b), a), c))) = ld(mult(b, a), mult(mult(b, a), mult(b, mult(a, mult(a, c)))))),
% 6.76/6.97 inference(symmetry,[status(thm)],[18406])).
% 6.76/6.97 tff(18408,plain,
% 6.76/6.97 (mult(mult(mult(a, b), a), c) = mult(b, mult(a, mult(a, c)))),
% 6.76/6.97 inference(transitivity,[status(thm)],[16397, 18407, 11433])).
% 6.76/6.97 tff(18409,plain,
% 6.76/6.97 (mult(a, mult(mult(mult(a, b), a), c)) = mult(a, mult(b, mult(a, mult(a, c))))),
% 6.76/6.97 inference(monotonicity,[status(thm)],[18408])).
% 6.76/6.97 tff(18410,plain,
% 6.76/6.97 (mult(a, mult(c, mult(b, a))) = mult(mult(a, mult(b, a)), c)),
% 6.76/6.97 inference(symmetry,[status(thm)],[18376])).
% 6.76/6.97 tff(18411,plain,
% 6.76/6.97 (mult(mult(a, mult(c, b)), a) = mult(mult(mult(a, b), a), c)),
% 6.76/6.97 inference(transitivity,[status(thm)],[9247, 17981, 17988, 18410, 8336])).
% 6.76/6.97 tff(18412,plain,
% 6.76/6.97 (mult(a, mult(mult(a, mult(c, b)), a)) = mult(a, mult(mult(mult(a, b), a), c))),
% 6.76/6.97 inference(monotonicity,[status(thm)],[18411])).
% 6.76/6.97 tff(18413,plain,
% 6.76/6.97 (mult(mult(mult(a, c), a), b) = mult(mult(a, mult(c, b)), a)),
% 6.76/6.97 inference(transitivity,[status(thm)],[17983, 17979, 18067, 18066])).
% 6.76/6.97 tff(18414,plain,
% 6.76/6.97 (mult(a, mult(mult(mult(a, c), a), b)) = mult(a, mult(mult(a, mult(c, b)), a))),
% 6.76/6.97 inference(monotonicity,[status(thm)],[18413])).
% 6.76/6.97 tff(18415,plain,
% 6.76/6.97 (mult(a, mult(mult(a, c), mult(b, a))) = mult(a, mult(mult(a, mult(c, b)), a))),
% 6.76/6.97 inference(monotonicity,[status(thm)],[18068])).
% 6.76/6.97 tff(18416,plain,
% 6.76/6.97 (mult(a, mult(mult(a, mult(c, b)), a)) = mult(a, mult(mult(a, c), mult(b, a)))),
% 6.76/6.97 inference(symmetry,[status(thm)],[18415])).
% 6.76/6.97 tff(18417,plain,
% 6.76/6.97 (mult(a, mult(mult(mult(a, c), a), b)) = mult(a, mult(mult(a, c), mult(b, a)))),
% 6.76/6.97 inference(transitivity,[status(thm)],[18414, 18416])).
% 6.76/6.97 tff(18418,plain,
% 6.76/6.97 (mult(mult(mult(b, a), a), mult(a, c)) = mult(mult(mult(a, b), a), mult(a, c))),
% 6.76/6.97 inference(monotonicity,[status(thm)],[18202])).
% 6.76/6.97 tff(18419,plain,
% 6.76/6.97 (mult(mult(a, b), mult(mult(a, c), a)) = mult(mult(b, a), mult(mult(a, c), a))),
% 6.76/6.97 inference(monotonicity,[status(thm)],[17973])).
% 6.76/6.97 tff(18420,plain,
% 6.76/6.97 (mult(mult(b, a), mult(mult(a, c), a)) = mult(mult(a, b), mult(mult(a, c), a))),
% 6.76/6.97 inference(symmetry,[status(thm)],[18419])).
% 6.76/6.97 tff(18421,plain,
% 6.76/6.97 ((mult(mult(mult(b, a), a), mult(a, c)) = mult(mult(b, a), mult(mult(a, c), a))) <=> (mult(mult(mult(a, b), a), mult(a, c)) = mult(mult(a, b), mult(mult(a, c), a)))),
% 6.76/6.97 inference(monotonicity,[status(thm)],[18418, 18420])).
% 6.76/6.97 tff(18422,plain,
% 6.76/6.97 ((mult(mult(mult(a, b), a), mult(a, c)) = mult(mult(a, b), mult(mult(a, c), a))) <=> (mult(mult(mult(b, a), a), mult(a, c)) = mult(mult(b, a), mult(mult(a, c), a)))),
% 6.76/6.97 inference(symmetry,[status(thm)],[18421])).
% 6.76/6.97 tff(18423,plain,
% 6.76/6.97 (mult(mult(mult(b, a), a), mult(a, c)) = mult(mult(b, a), mult(mult(a, c), a))),
% 6.76/6.97 inference(modus_ponens,[status(thm)],[16004, 18422])).
% 6.76/6.97 tff(18424,plain,
% 6.76/6.97 (mult(mult(b, a), mult(mult(a, c), a)) = mult(mult(mult(b, a), a), mult(a, c))),
% 6.76/6.97 inference(symmetry,[status(thm)],[18423])).
% 6.76/6.97 tff(18425,plain,
% 6.76/6.97 (mult(mult(a, b), mult(mult(a, c), a)) = mult(mult(a, mult(b, a)), mult(a, c))),
% 6.76/6.97 inference(transitivity,[status(thm)],[18419, 18424, 18418, 11016])).
% 6.76/6.97 tff(18426,plain,
% 6.76/6.97 ((mult(mult(a, b), mult(mult(a, c), a)) = mult(a, mult(mult(mult(a, c), a), b))) <=> (mult(mult(a, mult(b, a)), mult(a, c)) = mult(a, mult(mult(a, c), mult(b, a))))),
% 6.76/6.97 inference(monotonicity,[status(thm)],[18425, 18417])).
% 6.76/6.97 tff(18427,plain,
% 6.76/6.97 ((mult(mult(a, mult(b, a)), mult(a, c)) = mult(a, mult(mult(a, c), mult(b, a)))) <=> (mult(mult(a, b), mult(mult(a, c), a)) = mult(a, mult(mult(mult(a, c), a), b)))),
% 6.76/6.97 inference(symmetry,[status(thm)],[18426])).
% 6.76/6.97 tff(18428,plain,
% 6.76/6.97 (mult(a, mult(mult(mult(a, b), a), c)) = mult(a, mult(mult(a, mult(c, b)), a))),
% 6.76/6.97 inference(symmetry,[status(thm)],[18412])).
% 6.76/6.97 tff(18429,plain,
% 6.76/6.97 (mult(a, mult(mult(mult(a, b), a), c)) = mult(a, mult(mult(a, c), mult(b, a)))),
% 6.76/6.97 inference(transitivity,[status(thm)],[18428, 18416])).
% 6.76/6.97 tff(18430,plain,
% 6.76/6.97 (mult(b, mult(c, a)) = mult(c, mult(a, b))),
% 6.76/6.97 inference(transitivity,[status(thm)],[2419, 18378, 18173, 667])).
% 6.76/6.97 tff(18431,plain,
% 6.76/6.97 (mult(mult(b, mult(c, a)), a) = mult(mult(c, mult(a, b)), a)),
% 6.76/6.97 inference(monotonicity,[status(thm)],[18430])).
% 6.76/6.97 tff(18432,plain,
% 6.76/6.97 (mult(mult(c, mult(a, b)), a) = mult(mult(b, mult(c, a)), a)),
% 6.76/6.97 inference(symmetry,[status(thm)],[18431])).
% 6.76/6.97 tff(18433,plain,
% 6.76/6.97 (mult(mult(mult(c, a), b), a) = mult(mult(b, a), mult(a, c))),
% 6.76/6.97 inference(transitivity,[status(thm)],[2807, 18194, 18183, 18193, 18432, 4657, 3530])).
% 6.76/6.97 tff(18434,plain,
% 6.76/6.97 (mult(a, mult(mult(mult(c, a), b), a)) = mult(a, mult(mult(b, a), mult(a, c)))),
% 6.76/6.97 inference(monotonicity,[status(thm)],[18433])).
% 6.76/6.97 tff(18435,plain,
% 6.76/6.97 (mult(mult(mult(a, mult(c, b)), a), a) = mult(mult(mult(mult(a, b), a), c), a)),
% 6.76/6.97 inference(monotonicity,[status(thm)],[18411])).
% 6.76/6.97 tff(18436,plain,
% 6.76/6.97 (mult(mult(mult(mult(a, b), a), c), a) = mult(mult(mult(a, mult(c, b)), a), a)),
% 6.76/6.97 inference(symmetry,[status(thm)],[18435])).
% 6.76/6.97 tff(18437,plain,
% 6.76/6.97 (mult(a, mult(c, mult(mult(a, b), a))) = mult(mult(mult(a, c), mult(a, b)), a)),
% 6.76/6.97 inference(transitivity,[status(thm)],[10777, 18434, 18139, 18136, 18170, 18080, 18436, 18070, 18065, 18062])).
% 6.76/6.97 tff(18438,plain,
% 6.76/6.97 ((mult(mult(a, c), mult(mult(a, b), a)) = mult(a, mult(c, mult(mult(a, b), a)))) <=> (mult(mult(a, c), mult(mult(a, b), a)) = mult(mult(mult(a, c), mult(a, b)), a))),
% 6.76/6.97 inference(monotonicity,[status(thm)],[18437])).
% 6.76/6.97 tff(18439,plain,
% 6.76/6.97 ((mult(mult(a, c), mult(mult(a, b), a)) = mult(a, mult(c, mult(mult(a, b), a)))) <=> (mult(mult(mult(a, c), mult(a, b)), a) = mult(mult(a, c), mult(mult(a, b), a)))),
% 6.76/6.97 inference(transitivity,[status(thm)],[18438, 16088])).
% 6.76/6.97 tff(18440,plain,
% 6.76/6.97 ((mult(mult(mult(a, c), mult(a, b)), a) = mult(mult(a, c), mult(mult(a, b), a))) <=> (mult(mult(a, c), mult(mult(a, b), a)) = mult(a, mult(c, mult(mult(a, b), a))))),
% 6.76/6.98 inference(symmetry,[status(thm)],[18439])).
% 6.76/6.98 tff(18441,plain,
% 6.76/6.98 (mult(mult(a, c), mult(mult(a, b), a)) = mult(a, mult(c, mult(mult(a, b), a)))),
% 6.76/6.98 inference(modus_ponens,[status(thm)],[18055, 18440])).
% 6.76/6.98 tff(18442,plain,
% 6.76/6.98 (mult(mult(a, c), mult(mult(a, b), a)) = mult(mult(a, mult(b, a)), mult(a, c))),
% 6.76/6.98 inference(transitivity,[status(thm)],[18441, 10777, 18434, 18139, 18136, 15978, 18127, 18147, 11016])).
% 6.76/6.98 tff(18443,plain,
% 6.76/6.98 ((mult(mult(a, c), mult(mult(a, b), a)) = mult(a, mult(mult(mult(a, b), a), c))) <=> (mult(mult(a, mult(b, a)), mult(a, c)) = mult(a, mult(mult(a, c), mult(b, a))))),
% 6.76/6.98 inference(monotonicity,[status(thm)],[18442, 18429])).
% 6.76/6.98 tff(18444,plain,
% 6.76/6.98 ((mult(mult(a, c), mult(mult(a, b), a)) = mult(a, mult(mult(mult(a, b), a), c))) <=> (mult(mult(a, b), mult(mult(a, c), a)) = mult(a, mult(mult(mult(a, c), a), b)))),
% 6.76/6.98 inference(transitivity,[status(thm)],[18443, 18427])).
% 6.76/6.98 tff(18445,plain,
% 6.76/6.98 ((~(mult(mult(a, c), mult(mult(a, b), a)) = mult(a, mult(mult(mult(a, b), a), c)))) <=> (~(mult(mult(a, b), mult(mult(a, c), a)) = mult(a, mult(mult(mult(a, c), a), b))))),
% 6.76/6.98 inference(monotonicity,[status(thm)],[18444])).
% 6.76/6.98 tff(18446,plain,
% 6.76/6.98 (mult(mult(a, mult(c, a)), b) = mult(a, mult(b, mult(c, a)))),
% 6.76/6.98 inference(modus_ponens,[status(thm)],[18376, 17993])).
% 6.76/6.98 tff(18447,plain,
% 6.76/6.98 ((mult(mult(mult(b, a), mult(a, c)), mult(b, a)) = mult(mult(b, a), mult(mult(b, a), mult(a, c)))) | (~(mult(mult(a, mult(c, a)), mult(a, b)) = mult(a, mult(mult(a, b), mult(c, a))))) | (~(mult(mult(a, mult(c, a)), b) = mult(a, mult(b, mult(c, a)))))),
% 6.76/6.98 inference(unit_resolution,[status(thm)],[13967, 16004, 18057, 18150, 18058, 18168])).
% 6.76/6.98 tff(18448,plain,
% 6.76/6.98 (~(mult(mult(a, mult(c, a)), mult(a, b)) = mult(a, mult(mult(a, b), mult(c, a))))),
% 6.76/6.98 inference(unit_resolution,[status(thm)],[18447, 18446, 11136])).
% 6.76/6.98 tff(18449,plain,
% 6.76/6.98 ((~(mult(mult(a, c), mult(mult(a, b), a)) = mult(a, mult(mult(mult(a, b), a), c)))) | (mult(mult(a, mult(c, a)), mult(a, b)) = mult(a, mult(mult(a, b), mult(c, a))))),
% 6.76/6.98 inference(unit_resolution,[status(thm)],[13674, 18057])).
% 6.76/6.98 tff(18450,plain,
% 6.76/6.98 (~(mult(mult(a, c), mult(mult(a, b), a)) = mult(a, mult(mult(mult(a, b), a), c)))),
% 6.76/6.98 inference(unit_resolution,[status(thm)],[18449, 18448])).
% 6.76/6.98 tff(18451,plain,
% 6.76/6.98 (~(mult(mult(a, b), mult(mult(a, c), a)) = mult(a, mult(mult(mult(a, c), a), b)))),
% 6.76/6.98 inference(modus_ponens,[status(thm)],[18450, 18445])).
% 6.76/6.98 tff(18452,plain,
% 6.76/6.98 ((~(mult(mult(a, mult(mult(a, c), a)), b) = mult(a, mult(b, mult(mult(a, c), a))))) | (~(mult(mult(a, b), mult(mult(a, c), a)) = mult(a, mult(mult(mult(a, c), a), b))))),
% 6.76/6.98 inference(unit_resolution,[status(thm)],[12158, 18451])).
% 6.76/6.98 tff(18453,plain,
% 6.76/6.98 (~((~(mult(mult(a, mult(mult(a, c), a)), b) = mult(a, mult(mult(mult(a, c), a), b)))) | (~(mult(mult(a, b), mult(mult(a, c), a)) = mult(a, mult(b, mult(mult(a, c), a))))))),
% 6.76/6.98 inference(unit_resolution,[status(thm)],[12163, 18452])).
% 6.76/6.98 tff(18454,plain,
% 6.76/6.98 (mult(mult(a, mult(mult(a, c), a)), b) = mult(a, mult(mult(mult(a, c), a), b))),
% 6.76/6.98 inference(unit_resolution,[status(thm)],[12165, 18453])).
% 6.76/6.98 tff(18455,plain,
% 6.76/6.98 (mult(mult(mult(a, mult(a, c)), a), b) = mult(mult(a, mult(mult(a, c), a)), b)),
% 6.76/6.98 inference(monotonicity,[status(thm)],[18084])).
% 6.76/6.98 tff(18456,plain,
% 6.76/6.98 (mult(mult(mult(a, mult(a, c)), a), b) = mult(mult(c, a), mult(mult(a, b), a))),
% 6.76/6.98 inference(transitivity,[status(thm)],[18455, 18454, 18414, 18412, 18409, 18390, 18385, 18389, 18371, 12458, 18380, 18241, 18239, 18225, 18384, 18266])).
% 6.76/6.98 tff(18457,plain,
% 6.76/6.98 (mult(b, mult(mult(mult(a, mult(a, c)), a), b)) = mult(b, mult(mult(c, a), mult(mult(a, b), a)))),
% 6.76/6.98 inference(monotonicity,[status(thm)],[18456])).
% 6.76/6.98 tff(18458,plain,
% 6.76/6.98 (mult(b, mult(mult(mult(a, mult(a, c)), a), b)) = mult(b, mult(b, mult(mult(a, mult(a, c)), a)))),
% 6.76/6.98 inference(transitivity,[status(thm)],[18457, 18383, 12685])).
% 6.76/6.98 tff(18459,plain,
% 6.76/6.98 ((mult(mult(b, mult(mult(a, mult(a, c)), a)), b) = mult(b, mult(mult(mult(a, mult(a, c)), a), b))) <=> (mult(mult(b, mult(mult(a, mult(a, c)), a)), b) = mult(b, mult(b, mult(mult(a, mult(a, c)), a))))),
% 6.76/6.98 inference(monotonicity,[status(thm)],[18458])).
% 6.76/6.98 tff(18460,plain,
% 6.76/6.98 ((mult(mult(b, mult(mult(a, mult(a, c)), a)), b) = mult(b, mult(b, mult(mult(a, mult(a, c)), a)))) <=> (mult(mult(b, mult(mult(a, mult(a, c)), a)), b) = mult(b, mult(mult(mult(a, mult(a, c)), a), b)))),
% 6.76/6.98 inference(symmetry,[status(thm)],[18459])).
% 6.76/6.98 tff(18461,plain,
% 6.76/6.98 (mult(mult(b, mult(mult(a, c), a)), mult(a, b)) = mult(b, mult(mult(mult(a, c), a), mult(a, b)))),
% 6.76/6.98 inference(unit_resolution,[status(thm)],[18059, 18446])).
% 6.76/6.98 tff(18462,plain,
% 6.76/6.98 (mult(mult(a, mult(a, c)), mult(a, b)) = mult(mult(a, mult(a, c)), mult(b, a))),
% 6.76/6.98 inference(monotonicity,[status(thm)],[17973])).
% 6.76/6.98 tff(18463,plain,
% 6.76/6.98 (mult(mult(a, mult(a, c)), mult(b, a)) = mult(mult(a, mult(a, c)), mult(a, b))),
% 6.76/6.98 inference(symmetry,[status(thm)],[18462])).
% 6.76/6.98 tff(18464,plain,
% 6.76/6.98 (mult(a, mult(mult(a, c), b)) = mult(mult(a, mult(a, c)), b)),
% 6.76/6.98 inference(symmetry,[status(thm)],[18081])).
% 6.76/6.98 tff(18465,plain,
% 6.76/6.98 (mult(mult(mult(a, a), c), b) = mult(mult(a, mult(a, c)), b)),
% 6.76/6.98 inference(transitivity,[status(thm)],[18082, 8185, 11078, 18464])).
% 6.76/6.98 tff(18466,plain,
% 6.76/6.98 (rd(mult(mult(mult(a, a), c), b), b) = rd(mult(mult(a, mult(a, c)), b), b)),
% 6.76/6.98 inference(monotonicity,[status(thm)],[18465])).
% 6.76/6.98 tff(18467,plain,
% 6.76/6.98 (mult(mult(a, a), c) = mult(a, mult(a, c))),
% 6.76/6.98 inference(transitivity,[status(thm)],[5380, 18466, 908])).
% 6.76/6.98 tff(18468,plain,
% 6.76/6.98 (mult(mult(mult(a, a), c), mult(b, a)) = mult(mult(a, mult(a, c)), mult(b, a))),
% 6.76/6.98 inference(monotonicity,[status(thm)],[18467])).
% 6.76/6.98 tff(18469,plain,
% 6.76/6.98 (mult(mult(mult(a, a), c), mult(a, b)) = mult(mult(mult(a, a), c), mult(b, a))),
% 6.76/6.98 inference(monotonicity,[status(thm)],[17973])).
% 6.76/6.98 tff(18470,plain,
% 6.76/6.98 (mult(mult(mult(a, a), c), mult(a, b)) = mult(mult(a, mult(a, c)), mult(a, b))),
% 6.76/6.98 inference(transitivity,[status(thm)],[18469, 18468, 18463])).
% 6.76/6.98 tff(18471,plain,
% 6.76/6.98 (mult(a, mult(mult(a, c), a)) = mult(mult(a, mult(a, c)), a)),
% 6.76/6.98 inference(symmetry,[status(thm)],[18084])).
% 6.76/6.98 tff(18472,plain,
% 6.76/6.98 (mult(mult(mult(a, a), c), a) = mult(mult(a, mult(a, c)), a)),
% 6.76/6.98 inference(transitivity,[status(thm)],[1658, 18471])).
% 6.76/6.98 tff(18473,plain,
% 6.76/6.98 (mult(mult(mult(mult(a, a), c), a), b) = mult(mult(mult(a, mult(a, c)), a), b)),
% 6.76/6.98 inference(monotonicity,[status(thm)],[18472])).
% 6.76/6.98 tff(18474,plain,
% 6.76/6.98 ((mult(mult(mult(mult(a, a), c), a), b) = mult(mult(mult(a, a), c), mult(a, b))) <=> (mult(mult(mult(a, mult(a, c)), a), b) = mult(mult(a, mult(a, c)), mult(a, b)))),
% 6.76/6.98 inference(monotonicity,[status(thm)],[18473, 18470])).
% 6.76/6.98 tff(18475,plain,
% 6.76/6.98 ((mult(mult(mult(a, mult(a, c)), a), b) = mult(mult(a, mult(a, c)), mult(a, b))) <=> (mult(mult(mult(mult(a, a), c), a), b) = mult(mult(mult(a, a), c), mult(a, b)))),
% 6.76/6.98 inference(symmetry,[status(thm)],[18474])).
% 6.76/6.98 tff(18476,plain,
% 6.76/6.98 (mult(mult(mult(b, a), a), c) = mult(mult(mult(a, b), a), c)),
% 6.76/6.98 inference(monotonicity,[status(thm)],[18202])).
% 6.76/6.98 tff(18477,plain,
% 6.76/6.98 (mult(mult(a, b), mult(c, a)) = mult(mult(b, a), mult(c, a))),
% 6.76/6.98 inference(monotonicity,[status(thm)],[17973])).
% 6.76/6.98 tff(18478,plain,
% 6.76/6.98 (mult(mult(mult(a, b), c), a) = mult(mult(mult(b, a), c), a)),
% 6.76/6.98 inference(transitivity,[status(thm)],[17997, 4657])).
% 6.76/6.98 tff(18479,plain,
% 6.76/6.98 ((mult(mult(mult(a, b), c), a) = mult(mult(a, b), mult(c, a))) <=> (mult(mult(mult(b, a), c), a) = mult(mult(b, a), mult(c, a)))),
% 6.76/6.98 inference(monotonicity,[status(thm)],[18478, 18477])).
% 6.76/6.98 tff(18480,plain,
% 6.76/6.98 ((mult(mult(mult(b, a), c), a) = mult(mult(b, a), mult(c, a))) <=> (mult(mult(mult(a, b), c), a) = mult(mult(a, b), mult(c, a)))),
% 6.76/6.98 inference(symmetry,[status(thm)],[18479])).
% 6.76/6.98 tff(18481,plain,
% 6.76/6.98 (mult(mult(b, a), mult(c, a)) = mult(mult(mult(a, b), a), c)),
% 6.76/6.98 inference(transitivity,[status(thm)],[8355, 18476])).
% 6.76/6.98 tff(18482,plain,
% 6.76/6.98 (mult(mult(mult(b, a), c), a) = mult(mult(a, b), mult(a, c))),
% 6.76/6.98 inference(transitivity,[status(thm)],[3530, 17994])).
% 6.76/6.98 tff(18483,plain,
% 6.76/6.98 ((mult(mult(mult(b, a), c), a) = mult(mult(b, a), mult(c, a))) <=> (mult(mult(a, b), mult(a, c)) = mult(mult(mult(a, b), a), c))),
% 6.76/6.98 inference(monotonicity,[status(thm)],[18482, 18481])).
% 6.76/6.98 tff(18484,plain,
% 6.76/6.98 ((mult(mult(mult(b, a), c), a) = mult(mult(b, a), mult(c, a))) <=> (mult(mult(mult(a, b), a), c) = mult(mult(a, b), mult(a, c)))),
% 6.76/6.98 inference(transitivity,[status(thm)],[18483, 3592])).
% 6.76/6.98 tff(18485,plain,
% 6.76/6.98 ((mult(mult(mult(a, b), a), c) = mult(mult(a, b), mult(a, c))) <=> (mult(mult(mult(b, a), c), a) = mult(mult(b, a), mult(c, a)))),
% 6.76/6.98 inference(symmetry,[status(thm)],[18484])).
% 6.76/6.98 tff(18486,plain,
% 6.76/6.98 ((mult(mult(mult(a, b), a), c) = mult(mult(a, b), mult(a, c))) <=> (mult(mult(mult(a, b), c), a) = mult(mult(a, b), mult(c, a)))),
% 6.76/6.98 inference(transitivity,[status(thm)],[18485, 18480])).
% 6.76/6.98 tff(18487,plain,
% 6.76/6.98 ((~(mult(mult(mult(a, b), a), c) = mult(mult(a, b), mult(a, c)))) <=> (~(mult(mult(mult(a, b), c), a) = mult(mult(a, b), mult(c, a))))),
% 6.76/6.98 inference(monotonicity,[status(thm)],[18486])).
% 6.76/6.98 tff(18488,plain,
% 6.76/6.98 ((mult(a, mult(b, mult(c, a))) = mult(mult(mult(a, b), c), a)) <=> (mult(mult(mult(a, b), a), c) = mult(mult(a, b), mult(a, c)))),
% 6.76/6.98 inference(monotonicity,[status(thm)],[18141, 17998])).
% 6.76/6.98 tff(18489,plain,
% 6.76/6.98 ((~(mult(a, mult(b, mult(c, a))) = mult(mult(mult(a, b), c), a))) <=> (~(mult(mult(mult(a, b), a), c) = mult(mult(a, b), mult(a, c))))),
% 6.76/6.98 inference(monotonicity,[status(thm)],[18488])).
% 6.76/6.98 tff(18490,plain,
% 6.76/6.98 (~(mult(mult(mult(a, b), a), c) = mult(mult(a, b), mult(a, c)))),
% 6.76/6.98 inference(modus_ponens,[status(thm)],[194, 18489])).
% 6.76/6.98 tff(18491,plain,
% 6.76/6.98 (~(mult(mult(mult(a, b), c), a) = mult(mult(a, b), mult(c, a)))),
% 6.76/6.98 inference(modus_ponens,[status(thm)],[18490, 18487])).
% 6.76/6.98 tff(18492,plain,
% 6.76/6.98 (~(mult(mult(b, mult(c, a)), a) = mult(b, mult(mult(c, a), a)))),
% 6.76/6.98 inference(unit_resolution,[status(thm)],[4845, 18491])).
% 6.76/6.98 tff(18493,plain,
% 6.76/6.98 ((~(mult(mult(b, a), mult(c, a)) = mult(b, mult(a, mult(c, a))))) | (~(mult(mult(b, mult(c, a)), a) = mult(b, mult(mult(c, a), a))))),
% 6.76/6.98 inference(unit_resolution,[status(thm)],[3454, 18492])).
% 6.76/6.98 tff(18494,plain,
% 6.76/6.98 (~((~(mult(mult(b, a), mult(c, a)) = mult(b, mult(mult(c, a), a)))) | (~(mult(mult(b, mult(c, a)), a) = mult(b, mult(a, mult(c, a))))))),
% 6.76/6.98 inference(unit_resolution,[status(thm)],[3499, 18493])).
% 6.76/6.98 tff(18495,plain,
% 6.76/6.98 (mult(mult(b, a), mult(c, a)) = mult(b, mult(mult(c, a), a))),
% 6.76/6.98 inference(unit_resolution,[status(thm)],[3501, 18494])).
% 6.76/6.98 tff(18496,plain,
% 6.76/6.98 (mult(b, mult(mult(c, a), a)) = mult(mult(b, a), mult(c, a))),
% 6.76/6.98 inference(symmetry,[status(thm)],[18495])).
% 6.76/6.98 tff(18497,plain,
% 6.76/6.98 (mult(b, mult(mult(c, a), a)) = mult(b, mult(a, mult(a, c)))),
% 6.76/6.98 inference(transitivity,[status(thm)],[18496, 8355, 18476, 16397, 18407, 11433])).
% 6.76/6.98 tff(18498,plain,
% 6.76/6.98 (ld(b, mult(b, mult(mult(c, a), a))) = ld(b, mult(b, mult(a, mult(a, c))))),
% 6.76/6.98 inference(monotonicity,[status(thm)],[18497])).
% 6.76/6.98 tff(18499,plain,
% 6.76/6.98 (ld(b, mult(b, mult(a, mult(a, c)))) = ld(b, mult(b, mult(mult(c, a), a)))),
% 6.76/6.98 inference(symmetry,[status(thm)],[18498])).
% 6.76/6.98 tff(18500,plain,
% 6.76/6.98 (mult(a, mult(a, c)) = mult(mult(c, a), a)),
% 6.76/6.98 inference(transitivity,[status(thm)],[8422, 18499, 3463])).
% 6.76/6.98 tff(18501,plain,
% 6.76/6.98 (mult(mult(a, mult(a, c)), mult(b, a)) = mult(mult(mult(c, a), a), mult(b, a))),
% 6.76/6.98 inference(monotonicity,[status(thm)],[18500])).
% 6.76/6.98 tff(18502,plain,
% 6.76/6.98 (mult(mult(mult(c, a), a), mult(b, a)) = mult(mult(a, mult(a, c)), mult(b, a))),
% 6.76/6.98 inference(symmetry,[status(thm)],[18501])).
% 6.76/6.98 tff(18503,plain,
% 6.76/6.98 (mult(mult(c, a), mult(a, mult(b, a))) = mult(mult(c, a), mult(mult(a, b), a))),
% 6.76/6.98 inference(monotonicity,[status(thm)],[4194])).
% 6.76/6.98 tff(18504,plain,
% 6.76/6.98 (mult(mult(c, a), mult(a, mult(b, a))) = mult(mult(c, a), mult(mult(b, a), a))),
% 6.76/6.98 inference(transitivity,[status(thm)],[18503, 18216])).
% 6.76/6.98 tff(18505,plain,
% 6.76/6.98 ((mult(mult(mult(c, a), a), mult(b, a)) = mult(mult(c, a), mult(a, mult(b, a)))) <=> (mult(mult(mult(c, a), a), mult(b, a)) = mult(mult(c, a), mult(mult(b, a), a)))),
% 6.76/6.98 inference(monotonicity,[status(thm)],[18504])).
% 6.76/6.98 tff(18506,plain,
% 6.76/6.98 ((mult(mult(mult(c, a), a), mult(b, a)) = mult(mult(c, a), mult(mult(b, a), a))) <=> (mult(mult(mult(c, a), a), mult(b, a)) = mult(mult(c, a), mult(a, mult(b, a))))),
% 6.76/6.98 inference(symmetry,[status(thm)],[18505])).
% 6.76/6.98 tff(18507,plain,
% 6.76/6.98 (mult(a, mult(a, mult(c, mult(a, b)))) = mult(a, mult(mult(a, c), mult(b, a)))),
% 6.76/6.98 inference(monotonicity,[status(thm)],[18063])).
% 6.76/6.98 tff(18508,plain,
% 6.76/6.98 (mult(a, mult(mult(a, c), mult(b, a))) = mult(a, mult(a, mult(c, mult(a, b))))),
% 6.76/6.98 inference(symmetry,[status(thm)],[18507])).
% 6.76/6.98 tff(18509,plain,
% 6.76/6.98 (mult(a, mult(b, mult(a, mult(a, c)))) = mult(a, mult(mult(mult(a, b), a), c))),
% 6.76/6.98 inference(symmetry,[status(thm)],[18409])).
% 6.76/6.98 tff(18510,plain,
% 6.76/6.98 (mult(mult(b, a), mult(a, mult(a, c))) = mult(mult(a, b), mult(a, mult(a, c)))),
% 6.76/6.98 inference(symmetry,[status(thm)],[18385])).
% 6.76/6.98 tff(18511,plain,
% 6.76/6.98 (mult(mult(c, a), mult(mult(b, a), a)) = mult(a, mult(mult(a, c), mult(a, b)))),
% 6.76/6.98 inference(transitivity,[status(thm)],[18215, 18345, 18344, 18341, 18238, 18340, 18381, 12459, 18372, 18388, 18510, 18089, 18509, 18428, 18416, 18508, 17480])).
% 6.76/6.98 tff(18512,plain,
% 6.76/6.98 (mult(mult(mult(c, a), a), mult(b, a)) = mult(mult(a, mult(a, c)), mult(a, b))),
% 6.76/6.98 inference(transitivity,[status(thm)],[18502, 18463])).
% 6.76/6.98 tff(18513,plain,
% 6.76/6.98 ((mult(mult(mult(c, a), a), mult(b, a)) = mult(mult(c, a), mult(mult(b, a), a))) <=> (mult(mult(a, mult(a, c)), mult(a, b)) = mult(a, mult(mult(a, c), mult(a, b))))),
% 6.76/6.98 inference(monotonicity,[status(thm)],[18512, 18511])).
% 6.76/6.98 tff(18514,plain,
% 6.76/6.98 ((mult(mult(a, mult(a, c)), mult(a, b)) = mult(a, mult(mult(a, c), mult(a, b)))) <=> (mult(mult(mult(c, a), a), mult(b, a)) = mult(mult(c, a), mult(mult(b, a), a)))),
% 6.76/6.98 inference(symmetry,[status(thm)],[18513])).
% 6.76/6.98 tff(18515,plain,
% 6.76/6.98 ((mult(mult(a, mult(a, c)), mult(a, b)) = mult(a, mult(mult(a, c), mult(a, b)))) <=> (mult(mult(mult(c, a), a), mult(b, a)) = mult(mult(c, a), mult(a, mult(b, a))))),
% 6.76/6.98 inference(transitivity,[status(thm)],[18514, 18506])).
% 6.76/6.98 tff(18516,plain,
% 6.76/6.98 (mult(mult(a, b), mult(mult(a, a), c)) = mult(a, mult(b, mult(mult(a, a), c)))),
% 6.76/6.98 inference(unit_resolution,[status(thm)],[16463, 18086, 16003, 18082, 17998, 18000])).
% 6.76/6.98 tff(18517,plain,
% 6.76/6.98 (mult(mult(a, mult(a, c)), mult(a, b)) = mult(a, mult(mult(a, c), mult(a, b)))),
% 6.76/6.98 inference(unit_resolution,[status(thm)],[16517, 18516, 18000, 16003, 18082, 18083, 17998])).
% 6.76/6.98 tff(18518,plain,
% 6.76/6.98 (mult(mult(mult(c, a), a), mult(b, a)) = mult(mult(c, a), mult(a, mult(b, a)))),
% 6.76/6.98 inference(modus_ponens,[status(thm)],[18517, 18515])).
% 6.76/6.98 tff(18519,plain,
% 6.76/6.98 (mult(mult(c, a), mult(a, mult(b, a))) = mult(mult(mult(c, a), a), mult(b, a))),
% 6.76/6.98 inference(symmetry,[status(thm)],[18518])).
% 6.76/6.98 tff(18520,plain,
% 6.76/6.98 (mult(mult(c, a), mult(mult(a, b), a)) = mult(mult(c, a), mult(a, mult(b, a)))),
% 6.76/6.98 inference(symmetry,[status(thm)],[18503])).
% 6.76/6.98 tff(18521,plain,
% 6.76/6.98 (mult(a, mult(mult(mult(a, c), a), b)) = mult(mult(a, mult(a, c)), mult(a, b))),
% 6.76/6.98 inference(transitivity,[status(thm)],[18414, 18412, 18409, 18390, 18385, 18389, 18371, 12458, 18380, 18241, 18239, 18225, 18384, 18266, 18520, 18519, 18502, 18463])).
% 6.76/6.98 tff(18522,plain,
% 6.76/6.98 (mult(mult(a, mult(mult(a, c), a)), b) = mult(mult(mult(a, mult(a, c)), a), b)),
% 6.76/6.98 inference(symmetry,[status(thm)],[18455])).
% 6.76/6.98 tff(18523,plain,
% 6.76/6.98 ((mult(mult(a, mult(mult(a, c), a)), b) = mult(a, mult(mult(mult(a, c), a), b))) <=> (mult(mult(mult(a, mult(a, c)), a), b) = mult(mult(a, mult(a, c)), mult(a, b)))),
% 6.76/6.98 inference(monotonicity,[status(thm)],[18522, 18521])).
% 6.76/6.98 tff(18524,plain,
% 6.76/6.98 ((mult(mult(a, mult(mult(a, c), a)), b) = mult(a, mult(mult(mult(a, c), a), b))) <=> (mult(mult(mult(mult(a, a), c), a), b) = mult(mult(mult(a, a), c), mult(a, b)))),
% 6.76/6.98 inference(transitivity,[status(thm)],[18523, 18475])).
% 6.76/6.98 tff(18525,plain,
% 6.76/6.98 (mult(mult(mult(mult(a, a), c), a), b) = mult(mult(mult(a, a), c), mult(a, b))),
% 6.76/6.98 inference(modus_ponens,[status(thm)],[18454, 18524])).
% 6.76/6.98 tff(18526,plain,
% 6.76/6.98 (~(mult(mult(a, mult(a, c)), a) = mult(a, mult(a, mult(a, c))))),
% 6.76/6.98 inference(unit_resolution,[status(thm)],[16075, 18082, 18001, 18081])).
% 6.76/6.98 tff(18527,plain,
% 6.76/6.98 ((mult(mult(mult(mult(b, a), mult(a, c)), a), b) = mult(mult(mult(b, a), mult(a, c)), mult(a, b))) <=> (mult(mult(mult(mult(b, a), mult(a, c)), a), b) = mult(mult(mult(b, a), mult(a, c)), mult(b, a)))),
% 6.76/7.00 inference(monotonicity,[status(thm)],[18019])).
% 6.76/7.00 tff(18528,plain,
% 6.76/7.00 ((mult(mult(mult(mult(b, a), mult(a, c)), a), b) = mult(mult(mult(b, a), mult(a, c)), mult(b, a))) <=> (mult(mult(mult(mult(b, a), mult(a, c)), a), b) = mult(mult(mult(b, a), mult(a, c)), mult(a, b)))),
% 6.76/7.00 inference(symmetry,[status(thm)],[18527])).
% 6.76/7.00 tff(18529,plain,
% 6.76/7.00 (mult(mult(mult(mult(b, a), mult(a, c)), a), b) = mult(mult(mult(b, a), mult(a, c)), mult(a, b))),
% 6.76/7.00 inference(modus_ponens,[status(thm)],[18394, 18528])).
% 6.76/7.00 tff(18530,plain,
% 6.76/7.00 ((~(mult(mult(b, mult(mult(a, mult(a, c)), a)), b) = mult(b, mult(mult(mult(a, mult(a, c)), a), b)))) | (~(mult(mult(b, mult(mult(a, c), a)), mult(a, b)) = mult(b, mult(mult(mult(a, c), a), mult(a, b))))) | (~(mult(mult(mult(mult(a, a), c), a), b) = mult(mult(mult(a, a), c), mult(a, b))))),
% 6.76/7.00 inference(unit_resolution,[status(thm)],[17583, 18529, 18056, 18082, 18081, 18526])).
% 6.76/7.00 tff(18531,plain,
% 6.76/7.00 (~(mult(mult(b, mult(mult(a, mult(a, c)), a)), b) = mult(b, mult(mult(mult(a, mult(a, c)), a), b)))),
% 6.76/7.00 inference(unit_resolution,[status(thm)],[18530, 18525, 18461])).
% 6.76/7.00 tff(18532,plain,
% 6.76/7.00 ((~(mult(mult(b, b), mult(mult(a, mult(a, c)), a)) = mult(b, mult(b, mult(mult(a, mult(a, c)), a))))) | (~(mult(mult(b, mult(mult(a, mult(a, c)), a)), b) = mult(b, mult(mult(mult(a, mult(a, c)), a), b))))),
% 6.76/7.00 inference(unit_resolution,[status(thm)],[16554, 18531])).
% 6.76/7.00 tff(18533,plain,
% 6.76/7.00 (~((~(mult(mult(b, b), mult(mult(a, mult(a, c)), a)) = mult(b, mult(mult(mult(a, mult(a, c)), a), b)))) | (~(mult(mult(b, mult(mult(a, mult(a, c)), a)), b) = mult(b, mult(b, mult(mult(a, mult(a, c)), a))))))),
% 6.76/7.00 inference(unit_resolution,[status(thm)],[16552, 18532])).
% 6.76/7.00 tff(18534,plain,
% 6.76/7.00 (mult(mult(b, mult(mult(a, mult(a, c)), a)), b) = mult(b, mult(b, mult(mult(a, mult(a, c)), a)))),
% 6.76/7.00 inference(unit_resolution,[status(thm)],[16547, 18533])).
% 6.76/7.00 tff(18535,plain,
% 6.76/7.00 (mult(mult(b, mult(mult(a, mult(a, c)), a)), b) = mult(b, mult(mult(mult(a, mult(a, c)), a), b))),
% 6.76/7.00 inference(modus_ponens,[status(thm)],[18534, 18460])).
% 6.76/7.00 tff(18536,plain,
% 6.76/7.00 ($false),
% 6.76/7.00 inference(unit_resolution,[status(thm)],[18531, 18535])).
% 6.76/7.00 tff(18537,plain,(mult(mult(mult(b, a), mult(a, c)), mult(b, a)) = mult(mult(b, a), mult(mult(b, a), mult(a, c)))), inference(lemma,lemma(discharge,[]))).
% 6.76/7.00 tff(18538,plain,
% 6.76/7.00 ($false),
% 6.76/7.00 inference(unit_resolution,[status(thm)],[18537, 18370])).
% 6.76/7.00 % SZS output end Proof
% 6.76/7.00 % E exiting
%------------------------------------------------------------------------------